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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "*Tracer Transport Simulation Lab - Winterterm 2021/22*"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Semi-Lagrangian scheme for 1D advection"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "[**Jörn Behrens**](http://www.math.uni-hamburg.de/numgeo) [(joern.behrens@uni-hamburg.de)](mailto:joern.behrens@uni-hamburg.de)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Introduction\n",
+ "\n",
+ "In this notebook we want to implement a Semi-Lagrangian Scheme for the simple 1D advection equation, given by\n",
+ "$$\n",
+ "\\frac{\\partial \\rho}{\\partial t} + v\\cdot\\frac{\\partial \\rho}{\\partial x}= 0,\n",
+ "$$\n",
+ "where $\\rho$ is an advected constituent, $v\\equiv 1$ is a given wind (assumed to be constant 1), and $(x,t)$ is the space-time coordinate. Additionally, we want to compare it's solution to the already implemented Lax-Friedrichs advection scheme.\n",
+ "\n",
+ "The Lax-Friedrichs scheme discretizes this equation by using a centered finite difference for the space derivative and a modified explicit time derivative. It reads\n",
+ "$$\n",
+ " \\rho_i^{j+1}= \\frac{1}{2}(\\rho_{i+1}^j + \\rho_{i-1}^j) - \\nu(\\rho_{i+1}^j - \\rho_{i-1}^j),\n",
+ "$$\n",
+ "where $\\nu=v\\frac{\\Delta t}{2\\Delta x}$ and the indices $i$ and $j$ stand for the space and time step, resp.\n",
+ "\n",
+ "The semi-Lagrangian time stepping scheme utilizes an analytic solution for the ODE describing the departure points\n",
+ "$$\n",
+ "\\frac{dx}{dt}= v\\equiv 1.\n",
+ "$$\n",
+ "Obviously the analytical solution is $x=t$ (we omit the constant here). That leaves us with the semi-Lagrangian scheme being an interpolation of the right and left neighbor values, depending in which cell the upstream point falls. We use linear interpolation in this case.\n",
+ "\n",
+ "## Time stepping schemes\n",
+ "\n",
+ "In order to implement the time stepping schemes, we define a corresponding function that takes the grid $x$, the time-step $\\Delta t$, the final time $T$, and an initual field $\\rho_0$ as input parameters and returns $\\rho(x,T)$.\n",
+ "\n",
+ "### Lax-Friedrichs scheme\n",
+ "\n",
+ "First we re-use the Lax-Friedrichs scheme from a previous exercise:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from numpy import arange\n",
+ "def laxfriedrichsadvect(x,dt,T,rho0):\n",
+ " #-- compute spatial step size\n",
+ " dx= x[1]-x[0]\n",
+ " \n",
+ " #-- initial condition; set up future time array\n",
+ " u0=rho0.copy()\n",
+ " u1=u0.copy()\n",
+ " \n",
+ " #-- now the time loop\n",
+ " for t in arange(0,T,dt):\n",
+ " nu= dt/(2*dx)\n",
+ " u1[1:(len(x)-1)]= 0.5*(u0[2:len(x)]+u0[:(len(x)-2)]) - nu* (u0[2:len(x)]-u0[:(len(x)-2)])\n",
+ " #-- periodic boundary conditions:\n",
+ " u1[0] = 0.5*(u0[1]+u0[len(x)-1]) - nu* (u0[1] - u0[len(x)-1])\n",
+ " u1[len(x)-1]= 0.5*(u0[0]+u0[len(x)-2]) - nu* (u0[0]-u0[len(x)-2])\n",
+ " #-- reuse array for next time step\n",
+ " u0=u1.copy()\n",
+ " \n",
+ " #-- set output value\n",
+ " rho = u1\n",
+ " return rho\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Semi-Lagrangian Scheme\n",
+ "\n",
+ "Now, we implement the semi-Lagrangian scheme. Here I build on the code written by Philipp Sommer. The algorithm works as follows:\n",
+ "1. Compute the upstream positions by subtracting $\\Delta t$ from the grid points $x$.\n",
+ "2. Deal with periodic boundary condition by entering the trajectory on the right boundary, when it leaves the domain on the left side.\n",
+ "3. Now, determine left and right neighbors to that grid point.\n",
+ "4. Evaluate the old time step values at those grid points.\n",
+ "5. Finally, linearly interpolate between these two values."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from numpy import arange, array, abs\n",
+ "def semilagrangeadvect(x,dt,T,rho0):\n",
+ " #-- compute spatial step size\n",
+ " dx= x[1]-x[0]\n",
+ "\n",
+ " #-- initial condition; set up future time array\n",
+ " u=rho0.copy()\n",
+ " \n",
+ " for t in arange(0,T,dt):\n",
+ " #-- new position of the particle\n",
+ " xminus = x-dt\n",
+ " \n",
+ " #-- if out of the range, go to the right side (i.e. handle x periodically)\n",
+ " xminus[xminus < x.min()] = x.max() - (x.min() - xminus[xminus < x.min()])\n",
+ " \n",
+ " #-- set up left grid point\n",
+ " xl = array([max(xi for xi in x if xi <= ximinus) for ximinus in xminus])\n",
+ " #-- set up right grid point\n",
+ " xr = array([min(xi for xi in x if xi >= ximinus) for ximinus in xminus])\n",
+ " #-- compute solution at left grid point\n",
+ " ul = array([u[x.searchsorted(xl[ixminus])] for ixminus in range(len(xminus))])\n",
+ " #-- compute solution at right grid point\n",
+ " ur = array([u[x.searchsorted(xr[ixminus])] for ixminus in range(len(xminus))])\n",
+ " \n",
+ " #-- compute solution in between via interpolation\n",
+ " nu=(xr-xminus)/dx\n",
+ " u = (1.-nu)*ur + nu*ul\n",
+ " \n",
+ " return u\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Initial Conditions\n",
+ "\n",
+ "We want to generate initial conditions in their own functions. The two alternative initial conditions are given by either\n",
+ "$$\n",
+ "\\rho_0(x)=e^{-\\frac{(20x)^2}{2}},\n",
+ "$$\n",
+ "or\n",
+ "$$\n",
+ "\\rho_0(x)=e^{\\frac{-x^2}{2 \\sigma^2}}\\cdot\\cos(Kx),\n",
+ "$$\n",
+ "where $\\sigma=0.1$, and $K=\\frac{\\pi}{\\sigma}$."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from numpy import pi, exp, cos\n",
+ "def init1(x):\n",
+ " u0=exp(-(20*x)**2/2)\n",
+ " return u0\n",
+ "\n",
+ "def init2(x):\n",
+ " sigm= 0.1; Ka= pi/sigm\n",
+ " u0= exp(-(x**2)/(2*sigm**2)) * cos(Ka*x)\n",
+ " return u0\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Main Test Program\n",
+ "\n",
+ "Now that we have generated our time-stepping function, we can build a main program to test our scheme.\n",
+ "1. Let us set some initial values (time-step size, etc.) first.\n",
+ "2. Then we will set initial conditions by calling the corresponding functions.\n",
+ "3. Then we call the Lax-Friedrichs function defined earlier.\n",
+ "4. We compute an analytic solution (remember, this is just the initial solution shifted).\n",
+ "5. Finally, we compare our solutions."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "*** INFO: relative error in inf-norm ***\n",
+ " Lax-Friedrichs method: 0.3275\n",
+ " semi-Lagrangian method: 0.0000\n",
+ "*** INFO: relative error in two-norm ***\n",
+ " Lax-Friedrichs method: 0.3473\n",
+ " semi-Lagrangian method: 0.0000\n"
+ ]
+ },
+ {
+ "data": {
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",
+ "text/plain": [
+ "<Figure size 720x504 with 1 Axes>"
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "def testlf():\n",
+ " from numpy import arange, pi, exp, cos, inf\n",
+ " from numpy.linalg import norm\n",
+ " import matplotlib.pyplot as plt\n",
+ " %matplotlib inline\n",
+ " \n",
+ " #-- initial values/settings\n",
+ " dx= 1./150. #- spatial step size\n",
+ " courant= 0.9 #- Courant No.\n",
+ " dt= courant* dx #- time step size\n",
+ " CourSLM= 1. #- Courant number for the SLM\n",
+ " dts= CourSLM* dx #- time step for semi-Lagrange scheme\n",
+ " Tend= 0.5 #- final time\n",
+ " x= arange(-1,1+dx,dx) #- spatial grid\n",
+ " \n",
+ " #-- initial conditions\n",
+ " u0=init2(x)\n",
+ " \n",
+ " #-- Lax-Friedrichs advection scheme\n",
+ " ulaxf= laxfriedrichsadvect(x,dt,Tend,u0)\n",
+ " \n",
+ " #-- semi-Lagrangian advection scheme\n",
+ " uslm= semilagrangeadvect(x,dts,Tend,u0)\n",
+ " \n",
+ " #-- compute exact solution to compare with\n",
+ " uexact = init2(x-Tend)\n",
+ " \n",
+ " #-- plot the result, the initial condition, and the exact solution\n",
+ " fig = plt.figure(1)\n",
+ " #h1=plt.plot(x,u0,linewidth=2, c=[0.3, 0.5, 0.2], label='init. cond.')\n",
+ " h2=plt.plot(x,uexact,linewidth=2, c=[0.5, 0.7, 0.4], label='exact sol.')\n",
+ " h3=plt.plot(x,ulaxf,linewidth=2, c='red', label='Lax-Friedr.')\n",
+ " h4=plt.plot(x,uslm,linewidth=2, c='blue', label='Semi-Lagr.')\n",
+ " plt.legend(loc='upper left')\n",
+ " plt.title('Linear Advection, DX=' + '%6.4f' % (dx) + ', DT=' + '%6.4f' % (dt) + ', DTS=' + '%6.4f' % (dts))\n",
+ " plt.xlabel('x')\n",
+ " plt.ylabel('u')\n",
+ " \n",
+ " #-- compute error norms:\n",
+ " inflaxf= norm((uexact-ulaxf),inf)/norm(uexact,inf)\n",
+ " infslm= norm((uexact-uslm),inf)/norm(uexact,inf)\n",
+ " print('*** INFO: relative error in inf-norm ***')\n",
+ " print(' Lax-Friedrichs method: ' + '%6.4f' % (inflaxf))\n",
+ " print(' semi-Lagrangian method: ' + '%6.4f' % (infslm))\n",
+ "\n",
+ " twolaxf= norm((uexact-ulaxf))/norm(uexact)\n",
+ " twoslm= norm((uexact-uslm))/norm(uexact)\n",
+ " print('*** INFO: relative error in two-norm ***')\n",
+ " print(' Lax-Friedrichs method: ' + '%6.4f' % (twolaxf))\n",
+ " print(' semi-Lagrangian method: ' + '%6.4f' % (twoslm))\n",
+ "\n",
+ " fig.set_size_inches(10,7)\n",
+ " plt.show()\n",
+ "\n",
+ "if __name__==\"__main__\":\n",
+ " testlf()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "interpreter": {
+ "hash": "ca2525eab514af7f1335f4a0de66f0c96f9a7997643233c6c1749b1bac977781"
+ },
+ "kernelspec": {
+ "display_name": "Python 3.7.10 64-bit ('base': conda)",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.7.10"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 1
+}
diff --git a/bin/LagrangianRelaxation.linux.x86_64.gnu.opt.spx2 b/bin/LagrangianRelaxation.linux.x86_64.gnu.opt.spx2
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diff --git a/data/18990iter.png b/data/18990iter.png
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diff --git a/dual.txt b/dual.txt
index d867a3f35160afee6cec96eceb3cc329ffd45d4e..ed7b0299cf5f8742f6b864784e9791a6ce083f39 100644
--- a/dual.txt
+++ b/dual.txt
@@ -1,21 +1,18991 @@
-dualbound = 969553.451655, lowerbound=969553.451655, norm of subgrad 985.933290 dualbound = 969553.451655, lowerbound=969553.451655, norm of subgrad 985.933290 stepsize= 75.000000
-dualbound = 1042806.326405, lowerbound=1002756.326405, norm of subgrad 1003.327128 dualbound = 1042806.326405, lowerbound=1002756.326405, norm of subgrad 277.780263 stepsize= 75.000000
-dualbound = 1080954.378222, lowerbound=1005129.378222, norm of subgrad 1004.627980 dualbound = 1080954.378222, lowerbound=1005129.378222, norm of subgrad 205.660039 stepsize= 75.000000
-dualbound = 1145760.072033, lowerbound=1023735.072033, norm of subgrad 1013.752471 dualbound = 1145760.072033, lowerbound=1023735.072033, norm of subgrad 262.230231 stepsize= 75.000000
-dualbound = 1192707.184601, lowerbound=1032957.184601, norm of subgrad 1018.422891 dualbound = 1192707.184601, lowerbound=1032957.184601, norm of subgrad 226.219169 stepsize= 75.000000
-dualbound = 1240779.507198, lowerbound=1034529.507198, norm of subgrad 1019.079735 dualbound = 1240779.507198, lowerbound=1034529.507198, norm of subgrad 228.180461 stepsize= 75.000000
-dualbound = 1290479.733667, lowerbound=1040354.733667, norm of subgrad 1022.034605 dualbound = 1290479.733667, lowerbound=1040354.733667, norm of subgrad 232.164223 stepsize= 75.000000
-dualbound = 1329013.881020, lowerbound=1046113.881020, norm of subgrad 1024.849687 dualbound = 1329013.881020, lowerbound=1046113.881020, norm of subgrad 206.729648 stepsize= 75.000000
-dualbound = 1365839.510165, lowerbound=1045664.510165, norm of subgrad 1024.597731 dualbound = 1365839.510165, lowerbound=1045664.510165, norm of subgrad 202.389795 stepsize= 75.000000
-dualbound = 1407119.095190, lowerbound=1057244.095190, norm of subgrad 1030.232544 dualbound = 1407119.095190, lowerbound=1057244.095190, norm of subgrad 213.106980 stepsize= 75.000000
-dualbound = 1438356.306891, lowerbound=1060506.306891, norm of subgrad 1031.811178 dualbound = 1438356.306891, lowerbound=1060506.306891, norm of subgrad 188.056406 stepsize= 75.000000
-dualbound = 1476494.479794, lowerbound=1059194.479794, norm of subgrad 1031.127771 dualbound = 1476494.479794, lowerbound=1059194.479794, norm of subgrad 205.348905 stepsize= 75.000000
-dualbound = 1507574.212503, lowerbound=1067999.212503, norm of subgrad 1035.485979 dualbound = 1507574.212503, lowerbound=1067999.212503, norm of subgrad 187.914163 stepsize= 75.000000
-dualbound = 1675410.072033, lowerbound=1023735.072033, norm of subgrad 1013.752471 dualbound = 1675410.072033, lowerbound=1023735.072033, norm of subgrad 414.481434 stepsize= 75.000000
-dualbound = 1607232.184601, lowerbound=1032957.184601, norm of subgrad 1018.422891 dualbound = 1607232.184601, lowerbound=1032957.184601, norm of subgrad -nan stepsize= 75.000000
-dualbound = 1781879.733667, lowerbound=1040354.733667, norm of subgrad 1022.034605 dualbound = 1781879.733667, lowerbound=1040354.733667, norm of subgrad 422.903711 stepsize= 75.000000
-dualbound = 1850106.326405, lowerbound=1002756.326405, norm of subgrad 1003.327128 dualbound = 1850106.326405, lowerbound=1002756.326405, norm of subgrad 268.580701 stepsize= 75.000000
-dualbound = 1884478.451655, lowerbound=969553.451655, norm of subgrad 985.933290 dualbound = 1884478.451655, lowerbound=969553.451655, norm of subgrad 192.049799 stepsize= 75.000000
-dualbound = 2062799.212503, lowerbound=1067999.212503, norm of subgrad 1035.485979 dualbound = 2062799.212503, lowerbound=1067999.212503, norm of subgrad 427.261935 stepsize= 75.000000
-dualbound = 2098335.072033, lowerbound=1023735.072033, norm of subgrad 1013.752471 dualbound = 2098335.072033, lowerbound=1023735.072033, norm of subgrad 198.733136 stepsize= 75.000000
-dualbound = 1553599.911328, lowerbound=1157374.911328, norm of subgrad 1078.913301 dualbound = 1553599.911328, lowerbound=1157374.911328, norm of subgrad -nan stepsize= 75.000000
+dualbound = 969553.451655, lowerbound=969553.451655, norm of subgrad 985.933290 dualbound = 969553.451655, lowerbound=969553.451655, norm of subgrad 985.933290 stepsize= 1.000000
+dualbound = 971795.779461, lowerbound=969627.779461, norm of subgrad 985.893899 dualbound = 971795.779461, lowerbound=969627.779461, norm of subgrad 67.833088 stepsize= 1.000000
+dualbound = 973937.200775, lowerbound=969727.200775, norm of subgrad 985.935191 dualbound = 973937.200775, lowerbound=969727.200775, norm of subgrad 66.950887 stepsize= 1.000000
+dualbound = 975949.307895, lowerbound=969836.307895, norm of subgrad 985.954516 dualbound = 975949.307895, lowerbound=969836.307895, norm of subgrad 65.437811 stepsize= 1.000000
+dualbound = 977948.286894, lowerbound=970011.286894, norm of subgrad 986.010795 dualbound = 977948.286894, lowerbound=970011.286894, norm of subgrad 64.845809 stepsize= 1.000000
+dualbound = 979837.061762, lowerbound=970255.061762, norm of subgrad 986.112601 dualbound = 979837.061762, lowerbound=970255.061762, norm of subgrad 63.653553 stepsize= 1.000000
+dualbound = 981694.214386, lowerbound=970287.214386, norm of subgrad 986.127889 dualbound = 981694.214386, lowerbound=970287.214386, norm of subgrad 63.388900 stepsize= 1.000000
+dualbound = 983477.818754, lowerbound=970665.818754, norm of subgrad 986.280801 dualbound = 983477.818754, lowerbound=970665.818754, norm of subgrad 62.190066 stepsize= 1.000000
+dualbound = 985253.629360, lowerbound=970793.629360, norm of subgrad 986.333427 dualbound = 985253.629360, lowerbound=970793.629360, norm of subgrad 61.933921 stepsize= 1.000000
+dualbound = 986953.055560, lowerbound=971071.055560, norm of subgrad 986.462394 dualbound = 986953.055560, lowerbound=971071.055560, norm of subgrad 61.126313 stepsize= 1.000000
+dualbound = 988626.139985, lowerbound=971268.139985, norm of subgrad 986.553161 dualbound = 988626.139985, lowerbound=971268.139985, norm of subgrad 60.762525 stepsize= 1.000000
+dualbound = 990249.094698, lowerbound=971485.094698, norm of subgrad 986.665138 dualbound = 990249.094698, lowerbound=971485.094698, norm of subgrad 60.381742 stepsize= 1.000000
+dualbound = 991880.414410, lowerbound=971658.414410, norm of subgrad 986.712934 dualbound = 991880.414410, lowerbound=971658.414410, norm of subgrad 59.793977 stepsize= 1.000000
+dualbound = 993451.176878, lowerbound=971869.176878, norm of subgrad 986.859249 dualbound = 993451.176878, lowerbound=971869.176878, norm of subgrad 59.939657 stepsize= 1.000000
+dualbound = 995005.613921, lowerbound=971979.613921, norm of subgrad 986.890376 dualbound = 995005.613921, lowerbound=971979.613921, norm of subgrad 59.392230 stepsize= 1.000000
+dualbound = 996543.021030, lowerbound=972256.021030, norm of subgrad 987.030405 dualbound = 996543.021030, lowerbound=972256.021030, norm of subgrad 59.248689 stepsize= 1.000000
+dualbound = 998057.968084, lowerbound=972567.968084, norm of subgrad 987.192468 dualbound = 998057.968084, lowerbound=972567.968084, norm of subgrad 59.126534 stepsize= 1.000000
+dualbound = 999562.545759, lowerbound=972610.545759, norm of subgrad 987.192254 dualbound = 999562.545759, lowerbound=972610.545759, norm of subgrad 58.673484 stepsize= 1.000000
+dualbound = 1001036.471322, lowerbound=972812.471322, norm of subgrad 987.308195 dualbound = 1001036.471322, lowerbound=972812.471322, norm of subgrad 58.642353 stepsize= 1.000000
+dualbound = 1002505.788115, lowerbound=973078.788115, norm of subgrad 987.446600 dualbound = 1002505.788115, lowerbound=973078.788115, norm of subgrad 58.662738 stepsize= 1.000000
+dualbound = 1003949.141280, lowerbound=973063.141280, norm of subgrad 987.423993 dualbound = 1003949.141280, lowerbound=973063.141280, norm of subgrad 58.192381 stepsize= 1.000000
+dualbound = 1005390.815095, lowerbound=973534.815095, norm of subgrad 987.646604 dualbound = 1005390.815095, lowerbound=973534.815095, norm of subgrad 57.902278 stepsize= 1.000000
+dualbound = 1006808.734428, lowerbound=973501.734428, norm of subgrad 987.624288 dualbound = 1006808.734428, lowerbound=973501.734428, norm of subgrad 57.601383 stepsize= 1.000000
+dualbound = 1008213.128863, lowerbound=973738.128863, norm of subgrad 987.763195 dualbound = 1008213.128863, lowerbound=973738.128863, norm of subgrad 57.813445 stepsize= 1.000000
+dualbound = 1009584.449336, lowerbound=974069.449336, norm of subgrad 987.914697 dualbound = 1009584.449336, lowerbound=974069.449336, norm of subgrad 57.247886 stepsize= 1.000000
+dualbound = 1010963.924508, lowerbound=974711.924508, norm of subgrad 988.249930 dualbound = 1010963.924508, lowerbound=974711.924508, norm of subgrad 57.493262 stepsize= 1.000000
+dualbound = 1012312.499391, lowerbound=974460.499391, norm of subgrad 988.126257 dualbound = 1012312.499391, lowerbound=974460.499391, norm of subgrad 57.285032 stepsize= 1.000000
+dualbound = 1013651.031479, lowerbound=974834.031479, norm of subgrad 988.294001 dualbound = 1013651.031479, lowerbound=974834.031479, norm of subgrad 56.828972 stepsize= 1.000000
+dualbound = 1014991.303444, lowerbound=974958.303444, norm of subgrad 988.362941 dualbound = 1014991.303444, lowerbound=974958.303444, norm of subgrad 56.949732 stepsize= 1.000000
+dualbound = 1016277.210680, lowerbound=975523.210680, norm of subgrad 988.641093 dualbound = 1016277.210680, lowerbound=975523.210680, norm of subgrad 56.337441 stepsize= 1.000000
+dualbound = 1017597.047976, lowerbound=974805.047976, norm of subgrad 988.278831 dualbound = 1017597.047976, lowerbound=974805.047976, norm of subgrad 56.655426 stepsize= 1.000000
+dualbound = 1018873.099834, lowerbound=975797.099834, norm of subgrad 988.792243 dualbound = 1018873.099834, lowerbound=975797.099834, norm of subgrad 56.471691 stepsize= 1.000000
+dualbound = 1020161.792991, lowerbound=975572.792991, norm of subgrad 988.702075 dualbound = 1020161.792991, lowerbound=975572.792991, norm of subgrad 56.988535 stepsize= 1.000000
+dualbound = 1021411.129073, lowerbound=976051.129073, norm of subgrad 988.923723 dualbound = 1021411.129073, lowerbound=976051.129073, norm of subgrad 56.287975 stepsize= 1.000000
+dualbound = 1022708.624788, lowerbound=975578.624788, norm of subgrad 988.660015 dualbound = 1022708.624788, lowerbound=975578.624788, norm of subgrad 56.280509 stepsize= 1.000000
+dualbound = 1023962.463174, lowerbound=976454.463174, norm of subgrad 989.099825 dualbound = 1023962.463174, lowerbound=976454.463174, norm of subgrad 55.837607 stepsize= 1.000000
+dualbound = 1025227.928944, lowerbound=976464.928944, norm of subgrad 989.116236 dualbound = 1025227.928944, lowerbound=976464.928944, norm of subgrad 56.137917 stepsize= 1.000000
+dualbound = 1026440.301898, lowerbound=976330.301898, norm of subgrad 989.055763 dualbound = 1026440.301898, lowerbound=976330.301898, norm of subgrad 55.797607 stepsize= 1.000000
+dualbound = 1027686.877113, lowerbound=976902.877113, norm of subgrad 989.340627 dualbound = 1027686.877113, lowerbound=976902.877113, norm of subgrad 56.022988 stepsize= 1.000000
+dualbound = 1028904.084155, lowerbound=977095.084155, norm of subgrad 989.438772 dualbound = 1028904.084155, lowerbound=977095.084155, norm of subgrad 55.778195 stepsize= 1.000000
+dualbound = 1030118.436039, lowerbound=977058.436039, norm of subgrad 989.407113 dualbound = 1030118.436039, lowerbound=977058.436039, norm of subgrad 55.518933 stepsize= 1.000000
+dualbound = 1031317.457267, lowerbound=977516.457267, norm of subgrad 989.624907 dualbound = 1031317.457267, lowerbound=977516.457267, norm of subgrad 55.136388 stepsize= 1.000000
+dualbound = 1032534.691491, lowerbound=977047.691491, norm of subgrad 989.415833 dualbound = 1032534.691491, lowerbound=977047.691491, norm of subgrad 55.796364 stepsize= 1.000000
+dualbound = 1033700.191883, lowerbound=977976.191883, norm of subgrad 989.858673 dualbound = 1033700.191883, lowerbound=977976.191883, norm of subgrad 54.858914 stepsize= 1.000000
+dualbound = 1034902.788417, lowerbound=977934.788417, norm of subgrad 989.828666 dualbound = 1034902.788417, lowerbound=977934.788417, norm of subgrad 55.032686 stepsize= 1.000000
+dualbound = 1036056.968108, lowerbound=978063.968108, norm of subgrad 989.905535 dualbound = 1036056.968108, lowerbound=978063.968108, norm of subgrad 54.801275 stepsize= 1.000000
+dualbound = 1037223.153018, lowerbound=978219.153018, norm of subgrad 989.988461 dualbound = 1037223.153018, lowerbound=978219.153018, norm of subgrad 54.992590 stepsize= 1.000000
+dualbound = 1038383.492442, lowerbound=978739.492442, norm of subgrad 990.253247 dualbound = 1038383.492442, lowerbound=978739.492442, norm of subgrad 54.975808 stepsize= 1.000000
+dualbound = 1039549.591025, lowerbound=978488.591025, norm of subgrad 990.108878 dualbound = 1039549.591025, lowerbound=978488.591025, norm of subgrad 54.709218 stepsize= 1.000000
+dualbound = 1040674.026325, lowerbound=978510.026325, norm of subgrad 990.137882 dualbound = 1040674.026325, lowerbound=978510.026325, norm of subgrad 54.657436 stepsize= 1.000000
+dualbound = 1041821.355711, lowerbound=979190.355711, norm of subgrad 990.477842 dualbound = 1041821.355711, lowerbound=979190.355711, norm of subgrad 54.802640 stepsize= 1.000000
+dualbound = 1042941.969040, lowerbound=978815.969040, norm of subgrad 990.285297 dualbound = 1042941.969040, lowerbound=978815.969040, norm of subgrad 54.494159 stepsize= 1.000000
+dualbound = 1044101.835645, lowerbound=979324.835645, norm of subgrad 990.523516 dualbound = 1044101.835645, lowerbound=979324.835645, norm of subgrad 54.514829 stepsize= 1.000000
+dualbound = 1045211.951977, lowerbound=979574.951977, norm of subgrad 990.649258 dualbound = 1045211.951977, lowerbound=979574.951977, norm of subgrad 54.047353 stepsize= 1.000000
+dualbound = 1046323.296423, lowerbound=979541.296423, norm of subgrad 990.647917 dualbound = 1046323.296423, lowerbound=979541.296423, norm of subgrad 54.344682 stepsize= 1.000000
+dualbound = 1047423.204365, lowerbound=979990.204365, norm of subgrad 990.894648 dualbound = 1047423.204365, lowerbound=979990.204365, norm of subgrad 54.606849 stepsize= 1.000000
+dualbound = 1048530.457882, lowerbound=979341.457882, norm of subgrad 990.536954 dualbound = 1048530.457882, lowerbound=979341.457882, norm of subgrad 54.122579 stepsize= 1.000000
+dualbound = 1049635.678120, lowerbound=980178.678120, norm of subgrad 990.990251 dualbound = 1049635.678120, lowerbound=980178.678120, norm of subgrad 54.664616 stepsize= 1.000000
+dualbound = 1050734.873797, lowerbound=980196.873797, norm of subgrad 990.977736 dualbound = 1050734.873797, lowerbound=980196.873797, norm of subgrad 54.214349 stepsize= 1.000000
+dualbound = 1051845.841636, lowerbound=979921.841636, norm of subgrad 990.820792 dualbound = 1051845.841636, lowerbound=979921.841636, norm of subgrad 53.990442 stepsize= 1.000000
+dualbound = 1052936.752472, lowerbound=980840.752472, norm of subgrad 991.287926 dualbound = 1052936.752472, lowerbound=980840.752472, norm of subgrad 53.869387 stepsize= 1.000000
+dualbound = 1054015.878602, lowerbound=980421.878602, norm of subgrad 991.068049 dualbound = 1054015.878602, lowerbound=980421.878602, norm of subgrad 53.601550 stepsize= 1.000000
+dualbound = 1055091.248807, lowerbound=980133.248807, norm of subgrad 990.936047 dualbound = 1055091.248807, lowerbound=980133.248807, norm of subgrad 53.817936 stepsize= 1.000000
+dualbound = 1056163.624709, lowerbound=981684.624709, norm of subgrad 991.727596 dualbound = 1056163.624709, lowerbound=981684.624709, norm of subgrad 53.957167 stepsize= 1.000000
+dualbound = 1057225.165899, lowerbound=981138.165899, norm of subgrad 991.456588 dualbound = 1057225.165899, lowerbound=981138.165899, norm of subgrad 53.940163 stepsize= 1.000000
+dualbound = 1058261.501422, lowerbound=981396.501422, norm of subgrad 991.595432 dualbound = 1058261.501422, lowerbound=981396.501422, norm of subgrad 53.864047 stepsize= 1.000000
+dualbound = 1059335.032886, lowerbound=981917.032886, norm of subgrad 991.816532 dualbound = 1059335.032886, lowerbound=981917.032886, norm of subgrad 53.446529 stepsize= 1.000000
+dualbound = 1060371.821032, lowerbound=981817.821032, norm of subgrad 991.781640 dualbound = 1060371.821032, lowerbound=981817.821032, norm of subgrad 53.383407 stepsize= 1.000000
+dualbound = 1061415.515498, lowerbound=981258.515498, norm of subgrad 991.504672 dualbound = 1061415.515498, lowerbound=981258.515498, norm of subgrad 53.541521 stepsize= 1.000000
+dualbound = 1062438.708109, lowerbound=982762.708109, norm of subgrad 992.256372 dualbound = 1062438.708109, lowerbound=982762.708109, norm of subgrad 53.227743 stepsize= 1.000000
+dualbound = 1063493.698029, lowerbound=981972.698029, norm of subgrad 991.850139 dualbound = 1063493.698029, lowerbound=981972.698029, norm of subgrad 53.375930 stepsize= 1.000000
+dualbound = 1064505.349062, lowerbound=982651.349062, norm of subgrad 992.205800 dualbound = 1064505.349062, lowerbound=982651.349062, norm of subgrad 53.222655 stepsize= 1.000000
+dualbound = 1065545.672395, lowerbound=983124.672395, norm of subgrad 992.442277 dualbound = 1065545.672395, lowerbound=983124.672395, norm of subgrad 53.453937 stepsize= 1.000000
+dualbound = 1066531.698884, lowerbound=982360.698884, norm of subgrad 992.073434 dualbound = 1066531.698884, lowerbound=982360.698884, norm of subgrad 53.244967 stepsize= 1.000000
+dualbound = 1067577.018327, lowerbound=982620.018327, norm of subgrad 992.167334 dualbound = 1067577.018327, lowerbound=982620.018327, norm of subgrad 53.116094 stepsize= 1.000000
+dualbound = 1068586.181281, lowerbound=983378.181281, norm of subgrad 992.533214 dualbound = 1068586.181281, lowerbound=983378.181281, norm of subgrad 52.470591 stepsize= 1.000000
+dualbound = 1069606.447685, lowerbound=983427.447685, norm of subgrad 992.593798 dualbound = 1069606.447685, lowerbound=983427.447685, norm of subgrad 53.247220 stepsize= 1.000000
+dualbound = 1070585.736144, lowerbound=983572.736144, norm of subgrad 992.679070 dualbound = 1070585.736144, lowerbound=983572.736144, norm of subgrad 53.087555 stepsize= 1.000000
+dualbound = 1071572.509320, lowerbound=983622.509320, norm of subgrad 992.701621 dualbound = 1071572.509320, lowerbound=983622.509320, norm of subgrad 53.110952 stepsize= 1.000000
+dualbound = 1072602.580053, lowerbound=983332.580053, norm of subgrad 992.539460 dualbound = 1072602.580053, lowerbound=983332.580053, norm of subgrad 53.217203 stepsize= 1.000000
+dualbound = 1073597.035720, lowerbound=984095.035720, norm of subgrad 992.898804 dualbound = 1073597.035720, lowerbound=984095.035720, norm of subgrad 52.416178 stepsize= 1.000000
+dualbound = 1074599.211372, lowerbound=983607.211372, norm of subgrad 992.681324 dualbound = 1074599.211372, lowerbound=983607.211372, norm of subgrad 53.020521 stepsize= 1.000000
+dualbound = 1075557.274163, lowerbound=984328.274163, norm of subgrad 993.070629 dualbound = 1075557.274163, lowerbound=984328.274163, norm of subgrad 53.094847 stepsize= 1.000000
+dualbound = 1076569.506218, lowerbound=984284.506218, norm of subgrad 993.017878 dualbound = 1076569.506218, lowerbound=984284.506218, norm of subgrad 53.030482 stepsize= 1.000000
+dualbound = 1077536.670996, lowerbound=984645.670996, norm of subgrad 993.227905 dualbound = 1077536.670996, lowerbound=984645.670996, norm of subgrad 53.133462 stepsize= 1.000000
+dualbound = 1078521.492361, lowerbound=984021.492361, norm of subgrad 992.887956 dualbound = 1078521.492361, lowerbound=984021.492361, norm of subgrad 52.818760 stepsize= 1.000000
+dualbound = 1079523.393463, lowerbound=984945.393463, norm of subgrad 993.339012 dualbound = 1079523.393463, lowerbound=984945.393463, norm of subgrad 52.715283 stepsize= 1.000000
+dualbound = 1080472.426981, lowerbound=984944.426981, norm of subgrad 993.371747 dualbound = 1080472.426981, lowerbound=984944.426981, norm of subgrad 52.839696 stepsize= 1.000000
+dualbound = 1081457.027186, lowerbound=984797.027186, norm of subgrad 993.278927 dualbound = 1081457.027186, lowerbound=984797.027186, norm of subgrad 52.826132 stepsize= 1.000000
+dualbound = 1082419.860922, lowerbound=984776.860922, norm of subgrad 993.264749 dualbound = 1082419.860922, lowerbound=984776.860922, norm of subgrad 52.543636 stepsize= 1.000000
+dualbound = 1083384.625939, lowerbound=986185.625939, norm of subgrad 993.972648 dualbound = 1083384.625939, lowerbound=986185.625939, norm of subgrad 52.542983 stepsize= 1.000000
+dualbound = 1084346.243497, lowerbound=985566.243497, norm of subgrad 993.652979 dualbound = 1084346.243497, lowerbound=985566.243497, norm of subgrad 52.360458 stepsize= 1.000000
+dualbound = 1085317.089440, lowerbound=986020.089440, norm of subgrad 993.884344 dualbound = 1085317.089440, lowerbound=986020.089440, norm of subgrad 52.505675 stepsize= 1.000000
+dualbound = 1086233.685542, lowerbound=987127.685542, norm of subgrad 994.451450 dualbound = 1086233.685542, lowerbound=987127.685542, norm of subgrad 52.178502 stepsize= 1.000000
+dualbound = 1087198.623034, lowerbound=985254.623034, norm of subgrad 993.471501 dualbound = 1087198.623034, lowerbound=985254.623034, norm of subgrad 51.922418 stepsize= 1.000000
+dualbound = 1088167.034263, lowerbound=987224.034263, norm of subgrad 994.491344 dualbound = 1088167.034263, lowerbound=987224.034263, norm of subgrad 52.511058 stepsize= 1.000000
+dualbound = 1089074.693755, lowerbound=986819.693755, norm of subgrad 994.296582 dualbound = 1089074.693755, lowerbound=986819.693755, norm of subgrad 52.092797 stepsize= 1.000000
+dualbound = 1090008.490274, lowerbound=986935.490274, norm of subgrad 994.352800 dualbound = 1090008.490274, lowerbound=986935.490274, norm of subgrad 52.304842 stepsize= 1.000000
+dualbound = 1090945.545959, lowerbound=987014.545959, norm of subgrad 994.364896 dualbound = 1090945.545959, lowerbound=987014.545959, norm of subgrad 51.807873 stepsize= 1.000000
+dualbound = 1091890.434624, lowerbound=987321.434624, norm of subgrad 994.520706 dualbound = 1091890.434624, lowerbound=987321.434624, norm of subgrad 51.912317 stepsize= 1.000000
+dualbound = 1092826.257340, lowerbound=986547.257340, norm of subgrad 994.167117 dualbound = 1092826.257340, lowerbound=986547.257340, norm of subgrad 52.505454 stepsize= 1.000000
+dualbound = 1093698.702147, lowerbound=988304.702147, norm of subgrad 995.045578 dualbound = 1093698.702147, lowerbound=988304.702147, norm of subgrad 51.801977 stepsize= 1.000000
+dualbound = 1094630.538535, lowerbound=987803.538535, norm of subgrad 994.777633 dualbound = 1094630.538535, lowerbound=987803.538535, norm of subgrad 52.065693 stepsize= 1.000000
+dualbound = 1095571.111143, lowerbound=988484.111143, norm of subgrad 995.080957 dualbound = 1095571.111143, lowerbound=988484.111143, norm of subgrad 51.405959 stepsize= 1.000000
+dualbound = 1096485.337037, lowerbound=987551.337037, norm of subgrad 994.648348 dualbound = 1096485.337037, lowerbound=987551.337037, norm of subgrad 51.848104 stepsize= 1.000000
+dualbound = 1097340.540364, lowerbound=988518.540364, norm of subgrad 995.163575 dualbound = 1097340.540364, lowerbound=988518.540364, norm of subgrad 51.838242 stepsize= 1.000000
+dualbound = 1098259.720538, lowerbound=988798.720538, norm of subgrad 995.264648 dualbound = 1098259.720538, lowerbound=988798.720538, norm of subgrad 51.693135 stepsize= 1.000000
+dualbound = 1099175.240105, lowerbound=988625.240105, norm of subgrad 995.174477 dualbound = 1099175.240105, lowerbound=988625.240105, norm of subgrad 51.599608 stepsize= 1.000000
+dualbound = 1100064.748000, lowerbound=988784.748000, norm of subgrad 995.280236 dualbound = 1100064.748000, lowerbound=988784.748000, norm of subgrad 51.841180 stepsize= 1.000000
+dualbound = 1100943.272157, lowerbound=988955.272157, norm of subgrad 995.346810 dualbound = 1100943.272157, lowerbound=988955.272157, norm of subgrad 51.366567 stepsize= 1.000000
+dualbound = 1101836.072402, lowerbound=988524.072402, norm of subgrad 995.129174 dualbound = 1101836.072402, lowerbound=988524.072402, norm of subgrad 51.485923 stepsize= 1.000000
+dualbound = 1102742.331831, lowerbound=989817.331831, norm of subgrad 995.781769 dualbound = 1102742.331831, lowerbound=989817.331831, norm of subgrad 51.674553 stepsize= 1.000000
+dualbound = 1103609.480702, lowerbound=989674.480702, norm of subgrad 995.718073 dualbound = 1103609.480702, lowerbound=989674.480702, norm of subgrad 51.450451 stepsize= 1.000000
+dualbound = 1104501.358645, lowerbound=989306.358645, norm of subgrad 995.504073 dualbound = 1104501.358645, lowerbound=989306.358645, norm of subgrad 51.126098 stepsize= 1.000000
+dualbound = 1105352.839006, lowerbound=989555.839006, norm of subgrad 995.673560 dualbound = 1105352.839006, lowerbound=989555.839006, norm of subgrad 51.589537 stepsize= 1.000000
+dualbound = 1106233.500403, lowerbound=990218.500403, norm of subgrad 995.973142 dualbound = 1106233.500403, lowerbound=990218.500403, norm of subgrad 51.231449 stepsize= 1.000000
+dualbound = 1107131.222303, lowerbound=990005.222303, norm of subgrad 995.875104 dualbound = 1107131.222303, lowerbound=990005.222303, norm of subgrad 51.572492 stepsize= 1.000000
+dualbound = 1107993.663652, lowerbound=989605.663652, norm of subgrad 995.662927 dualbound = 1107993.663652, lowerbound=989605.663652, norm of subgrad 51.004327 stepsize= 1.000000
+dualbound = 1108849.729054, lowerbound=990345.729054, norm of subgrad 996.058095 dualbound = 1108849.729054, lowerbound=990345.729054, norm of subgrad 51.401025 stepsize= 1.000000
+dualbound = 1109704.986969, lowerbound=990594.986969, norm of subgrad 996.162631 dualbound = 1109704.986969, lowerbound=990594.986969, norm of subgrad 50.992724 stepsize= 1.000000
+dualbound = 1110594.188502, lowerbound=989962.188502, norm of subgrad 995.847473 dualbound = 1110594.188502, lowerbound=989962.188502, norm of subgrad 51.373160 stepsize= 1.000000
+dualbound = 1111444.374674, lowerbound=991403.374674, norm of subgrad 996.564787 dualbound = 1111444.374674, lowerbound=991403.374674, norm of subgrad 50.874219 stepsize= 1.000000
+dualbound = 1112283.517238, lowerbound=990004.517238, norm of subgrad 995.845629 dualbound = 1112283.517238, lowerbound=990004.517238, norm of subgrad 50.429580 stepsize= 1.000000
+dualbound = 1113188.046824, lowerbound=991871.046824, norm of subgrad 996.802411 dualbound = 1113188.046824, lowerbound=991871.046824, norm of subgrad 51.463867 stepsize= 1.000000
+dualbound = 1113971.889133, lowerbound=991450.889133, norm of subgrad 996.619230 dualbound = 1113971.889133, lowerbound=991450.889133, norm of subgrad 50.821672 stepsize= 1.000000
+dualbound = 1114837.767399, lowerbound=992142.767399, norm of subgrad 996.927664 dualbound = 1114837.767399, lowerbound=992142.767399, norm of subgrad 50.871193 stepsize= 1.000000
+dualbound = 1115681.237006, lowerbound=992243.237006, norm of subgrad 997.011152 dualbound = 1115681.237006, lowerbound=992243.237006, norm of subgrad 51.297852 stepsize= 1.000000
+dualbound = 1116516.370867, lowerbound=992858.370867, norm of subgrad 997.278482 dualbound = 1116516.370867, lowerbound=992858.370867, norm of subgrad 50.409660 stepsize= 1.000000
+dualbound = 1117375.706498, lowerbound=991613.706498, norm of subgrad 996.622148 dualbound = 1117375.706498, lowerbound=991613.706498, norm of subgrad 50.013355 stepsize= 1.000000
+dualbound = 1118208.172786, lowerbound=992502.172786, norm of subgrad 997.148019 dualbound = 1118208.172786, lowerbound=992502.172786, norm of subgrad 51.327052 stepsize= 1.000000
+dualbound = 1118992.876915, lowerbound=992395.876915, norm of subgrad 997.089202 dualbound = 1118992.876915, lowerbound=992395.876915, norm of subgrad 50.751395 stepsize= 1.000000
+dualbound = 1119875.216847, lowerbound=993089.216847, norm of subgrad 997.384187 dualbound = 1119875.216847, lowerbound=993089.216847, norm of subgrad 50.678792 stepsize= 1.000000
+dualbound = 1120681.626269, lowerbound=992462.626269, norm of subgrad 997.097601 dualbound = 1120681.626269, lowerbound=992462.626269, norm of subgrad 50.471868 stepsize= 1.000000
+dualbound = 1121504.559198, lowerbound=993583.559198, norm of subgrad 997.649517 dualbound = 1121504.559198, lowerbound=993583.559198, norm of subgrad 50.437416 stepsize= 1.000000
+dualbound = 1122328.137505, lowerbound=993287.137505, norm of subgrad 997.524003 dualbound = 1122328.137505, lowerbound=993287.137505, norm of subgrad 50.897724 stepsize= 1.000000
+dualbound = 1123139.128313, lowerbound=993210.128313, norm of subgrad 997.482896 dualbound = 1123139.128313, lowerbound=993210.128313, norm of subgrad 50.724657 stepsize= 1.000000
+dualbound = 1123979.347129, lowerbound=993837.347129, norm of subgrad 997.768183 dualbound = 1123979.347129, lowerbound=993837.347129, norm of subgrad 50.440250 stepsize= 1.000000
+dualbound = 1124775.547221, lowerbound=993312.547221, norm of subgrad 997.501151 dualbound = 1124775.547221, lowerbound=993312.547221, norm of subgrad 49.921940 stepsize= 1.000000
+dualbound = 1125605.117530, lowerbound=994207.117530, norm of subgrad 997.969497 dualbound = 1125605.117530, lowerbound=994207.117530, norm of subgrad 50.651459 stepsize= 1.000000
+dualbound = 1126390.147443, lowerbound=994262.147443, norm of subgrad 998.030635 dualbound = 1126390.147443, lowerbound=994262.147443, norm of subgrad 50.872683 stepsize= 1.000000
+dualbound = 1127186.714293, lowerbound=994790.714293, norm of subgrad 998.253332 dualbound = 1127186.714293, lowerbound=994790.714293, norm of subgrad 50.155427 stepsize= 1.000000
+dualbound = 1128027.859497, lowerbound=992913.859497, norm of subgrad 997.317833 dualbound = 1128027.859497, lowerbound=992913.859497, norm of subgrad 50.696600 stepsize= 1.000000
+dualbound = 1128812.429383, lowerbound=995639.429383, norm of subgrad 998.712886 dualbound = 1128812.429383, lowerbound=995639.429383, norm of subgrad 50.720508 stepsize= 1.000000
+dualbound = 1129622.392835, lowerbound=994512.392835, norm of subgrad 998.133454 dualbound = 1129622.392835, lowerbound=994512.392835, norm of subgrad 50.675077 stepsize= 1.000000
+dualbound = 1130411.614165, lowerbound=994032.614165, norm of subgrad 997.871542 dualbound = 1130411.614165, lowerbound=994032.614165, norm of subgrad 50.042195 stepsize= 1.000000
+dualbound = 1131255.951182, lowerbound=994589.951182, norm of subgrad 998.165793 dualbound = 1131255.951182, lowerbound=994589.951182, norm of subgrad 50.885529 stepsize= 1.000000
+dualbound = 1132009.356403, lowerbound=995020.356403, norm of subgrad 998.404405 dualbound = 1132009.356403, lowerbound=995020.356403, norm of subgrad 50.442098 stepsize= 1.000000
+dualbound = 1132823.343546, lowerbound=995149.343546, norm of subgrad 998.426935 dualbound = 1132823.343546, lowerbound=995149.343546, norm of subgrad 50.209433 stepsize= 1.000000
+dualbound = 1133619.227069, lowerbound=994938.227069, norm of subgrad 998.343742 dualbound = 1133619.227069, lowerbound=994938.227069, norm of subgrad 50.476564 stepsize= 1.000000
+dualbound = 1134428.203184, lowerbound=995508.203184, norm of subgrad 998.622152 dualbound = 1134428.203184, lowerbound=995508.203184, norm of subgrad 50.467575 stepsize= 1.000000
+dualbound = 1135200.980631, lowerbound=995761.980631, norm of subgrad 998.760222 dualbound = 1135200.980631, lowerbound=995761.980631, norm of subgrad 50.326707 stepsize= 1.000000
+dualbound = 1136011.539953, lowerbound=994649.539953, norm of subgrad 998.190132 dualbound = 1136011.539953, lowerbound=994649.539953, norm of subgrad 50.443625 stepsize= 1.000000
+dualbound = 1136791.104217, lowerbound=996439.104217, norm of subgrad 999.066116 dualbound = 1136791.104217, lowerbound=996439.104217, norm of subgrad 49.734940 stepsize= 1.000000
+dualbound = 1137571.914519, lowerbound=994217.914519, norm of subgrad 997.995448 dualbound = 1137571.914519, lowerbound=994217.914519, norm of subgrad 50.574799 stepsize= 1.000000
+dualbound = 1138362.981562, lowerbound=996572.981562, norm of subgrad 999.175651 dualbound = 1138362.981562, lowerbound=996572.981562, norm of subgrad 50.695829 stepsize= 1.000000
+dualbound = 1139151.072029, lowerbound=995621.072029, norm of subgrad 998.652628 dualbound = 1139151.072029, lowerbound=995621.072029, norm of subgrad 49.740230 stepsize= 1.000000
+dualbound = 1139970.520819, lowerbound=995856.520819, norm of subgrad 998.778014 dualbound = 1139970.520819, lowerbound=995856.520819, norm of subgrad 50.204071 stepsize= 1.000000
+dualbound = 1140731.883815, lowerbound=995849.883815, norm of subgrad 998.803226 dualbound = 1140731.883815, lowerbound=995849.883815, norm of subgrad 50.193256 stepsize= 1.000000
+dualbound = 1141480.753119, lowerbound=997715.753119, norm of subgrad 999.740843 dualbound = 1141480.753119, lowerbound=997715.753119, norm of subgrad 50.148473 stepsize= 1.000000
+dualbound = 1142282.275097, lowerbound=995789.275097, norm of subgrad 998.773385 dualbound = 1142282.275097, lowerbound=995789.275097, norm of subgrad 50.601601 stepsize= 1.000000
+dualbound = 1143040.826814, lowerbound=997211.826814, norm of subgrad 999.480278 dualbound = 1143040.826814, lowerbound=997211.826814, norm of subgrad 50.075460 stepsize= 1.000000
+dualbound = 1143824.970857, lowerbound=996861.970857, norm of subgrad 999.258711 dualbound = 1143824.970857, lowerbound=996861.970857, norm of subgrad 49.397814 stepsize= 1.000000
+dualbound = 1144598.642483, lowerbound=998354.642483, norm of subgrad 1000.058820 dualbound = 1144598.642483, lowerbound=998354.642483, norm of subgrad 50.365381 stepsize= 1.000000
+dualbound = 1145348.958919, lowerbound=996077.958919, norm of subgrad 998.902878 dualbound = 1145348.958919, lowerbound=996077.958919, norm of subgrad 49.792735 stepsize= 1.000000
+dualbound = 1146135.726400, lowerbound=998493.726400, norm of subgrad 1000.098358 dualbound = 1146135.726400, lowerbound=998493.726400, norm of subgrad 49.897570 stepsize= 1.000000
+dualbound = 1146884.667717, lowerbound=996625.667717, norm of subgrad 999.200514 dualbound = 1146884.667717, lowerbound=996625.667717, norm of subgrad 50.248794 stepsize= 1.000000
+dualbound = 1147630.024156, lowerbound=997698.024156, norm of subgrad 999.744479 dualbound = 1147630.024156, lowerbound=997698.024156, norm of subgrad 50.362252 stepsize= 1.000000
+dualbound = 1148413.371467, lowerbound=997363.371467, norm of subgrad 999.548084 dualbound = 1148413.371467, lowerbound=997363.371467, norm of subgrad 50.163207 stepsize= 1.000000
+dualbound = 1149178.644956, lowerbound=998844.644956, norm of subgrad 1000.275285 dualbound = 1149178.644956, lowerbound=998844.644956, norm of subgrad 49.711905 stepsize= 1.000000
+dualbound = 1149956.575394, lowerbound=997962.575394, norm of subgrad 999.845776 dualbound = 1149956.575394, lowerbound=997962.575394, norm of subgrad 50.069256 stepsize= 1.000000
+dualbound = 1150686.923873, lowerbound=998064.923873, norm of subgrad 999.920959 dualbound = 1150686.923873, lowerbound=998064.923873, norm of subgrad 50.073431 stepsize= 1.000000
+dualbound = 1151429.296929, lowerbound=998369.296929, norm of subgrad 1000.067646 dualbound = 1151429.296929, lowerbound=998369.296929, norm of subgrad 50.083661 stepsize= 1.000000
+dualbound = 1152218.595955, lowerbound=998483.595955, norm of subgrad 1000.112792 dualbound = 1152218.595955, lowerbound=998483.595955, norm of subgrad 50.312017 stepsize= 1.000000
+dualbound = 1152952.836127, lowerbound=997898.836127, norm of subgrad 999.814401 dualbound = 1152952.836127, lowerbound=997898.836127, norm of subgrad 49.641114 stepsize= 1.000000
+dualbound = 1153712.642475, lowerbound=999156.642475, norm of subgrad 1000.495199 dualbound = 1153712.642475, lowerbound=999156.642475, norm of subgrad 50.929425 stepsize= 1.000000
+dualbound = 1154452.383488, lowerbound=998587.383488, norm of subgrad 1000.202171 dualbound = 1154452.383488, lowerbound=998587.383488, norm of subgrad 50.564227 stepsize= 1.000000
+dualbound = 1155218.304539, lowerbound=998661.304539, norm of subgrad 1000.202632 dualbound = 1155218.304539, lowerbound=998661.304539, norm of subgrad 50.099112 stepsize= 1.000000
+dualbound = 1155982.941208, lowerbound=998622.941208, norm of subgrad 1000.185953 dualbound = 1155982.941208, lowerbound=998622.941208, norm of subgrad 50.136181 stepsize= 1.000000
+dualbound = 1156712.743321, lowerbound=999118.743321, norm of subgrad 1000.453269 dualbound = 1156712.743321, lowerbound=999118.743321, norm of subgrad 50.177705 stepsize= 1.000000
+dualbound = 1157476.815165, lowerbound=999386.815165, norm of subgrad 1000.548757 dualbound = 1157476.815165, lowerbound=999386.815165, norm of subgrad 49.750094 stepsize= 1.000000
+dualbound = 1158238.107389, lowerbound=998157.107389, norm of subgrad 999.937052 dualbound = 1158238.107389, lowerbound=998157.107389, norm of subgrad 49.782449 stepsize= 1.000000
+dualbound = 1158980.447410, lowerbound=999491.447410, norm of subgrad 1000.605041 dualbound = 1158980.447410, lowerbound=999491.447410, norm of subgrad 49.611894 stepsize= 1.000000
+dualbound = 1159714.443556, lowerbound=999805.443556, norm of subgrad 1000.772923 dualbound = 1159714.443556, lowerbound=999805.443556, norm of subgrad 49.749333 stepsize= 1.000000
+dualbound = 1160465.950052, lowerbound=999449.950052, norm of subgrad 1000.618784 dualbound = 1160465.950052, lowerbound=999449.950052, norm of subgrad 50.393516 stepsize= 1.000000
+dualbound = 1161171.992615, lowerbound=998810.992615, norm of subgrad 1000.287955 dualbound = 1161171.992615, lowerbound=998810.992615, norm of subgrad 49.709582 stepsize= 1.000000
+dualbound = 1161941.021366, lowerbound=999681.021366, norm of subgrad 1000.675283 dualbound = 1161941.021366, lowerbound=999681.021366, norm of subgrad 49.386524 stepsize= 1.000000
+dualbound = 1162671.836716, lowerbound=1000917.836716, norm of subgrad 1001.338523 dualbound = 1162671.836716, lowerbound=1000917.836716, norm of subgrad 49.918086 stepsize= 1.000000
+dualbound = 1163406.799988, lowerbound=999151.799988, norm of subgrad 1000.454297 dualbound = 1163406.799988, lowerbound=999151.799988, norm of subgrad 49.919568 stepsize= 1.000000
+dualbound = 1164142.537207, lowerbound=1000126.537207, norm of subgrad 1000.917348 dualbound = 1164142.537207, lowerbound=1000126.537207, norm of subgrad 49.444284 stepsize= 1.000000
+dualbound = 1164917.622798, lowerbound=1000220.622798, norm of subgrad 1000.963847 dualbound = 1164917.622798, lowerbound=1000220.622798, norm of subgrad 49.830569 stepsize= 1.000000
+dualbound = 1165592.661200, lowerbound=1000357.661200, norm of subgrad 1001.081746 dualbound = 1165592.661200, lowerbound=1000357.661200, norm of subgrad 49.820060 stepsize= 1.000000
+dualbound = 1166339.548459, lowerbound=999726.548459, norm of subgrad 1000.728009 dualbound = 1166339.548459, lowerbound=999726.548459, norm of subgrad 49.768336 stepsize= 1.000000
+dualbound = 1167084.140954, lowerbound=1000731.140954, norm of subgrad 1001.237804 dualbound = 1167084.140954, lowerbound=1000731.140954, norm of subgrad 49.905836 stepsize= 1.000000
+dualbound = 1167801.827624, lowerbound=999807.827624, norm of subgrad 1000.754129 dualbound = 1167801.827624, lowerbound=999807.827624, norm of subgrad 49.180145 stepsize= 1.000000
+dualbound = 1168555.428852, lowerbound=1001481.428852, norm of subgrad 1001.588952 dualbound = 1168555.428852, lowerbound=1001481.428852, norm of subgrad 49.523744 stepsize= 1.000000
+dualbound = 1169278.328658, lowerbound=999997.328658, norm of subgrad 1000.855299 dualbound = 1169278.328658, lowerbound=999997.328658, norm of subgrad 49.364965 stepsize= 1.000000
+dualbound = 1169996.896961, lowerbound=1001608.896961, norm of subgrad 1001.655578 dualbound = 1169996.896961, lowerbound=1001608.896961, norm of subgrad 49.229750 stepsize= 1.000000
+dualbound = 1170723.777355, lowerbound=1000306.777355, norm of subgrad 1001.051835 dualbound = 1170723.777355, lowerbound=1000306.777355, norm of subgrad 50.248188 stepsize= 1.000000
+dualbound = 1171400.433647, lowerbound=1001125.433647, norm of subgrad 1001.445173 dualbound = 1171400.433647, lowerbound=1001125.433647, norm of subgrad 49.433352 stepsize= 1.000000
+dualbound = 1172174.347737, lowerbound=1001609.347737, norm of subgrad 1001.637333 dualbound = 1172174.347737, lowerbound=1001609.347737, norm of subgrad 49.415727 stepsize= 1.000000
+dualbound = 1172885.147574, lowerbound=1000705.147574, norm of subgrad 1001.198356 dualbound = 1172885.147574, lowerbound=1000705.147574, norm of subgrad 49.028561 stepsize= 1.000000
+dualbound = 1173613.590813, lowerbound=1000452.590813, norm of subgrad 1001.093198 dualbound = 1173613.590813, lowerbound=1000452.590813, norm of subgrad 49.633086 stepsize= 1.000000
+dualbound = 1174317.790279, lowerbound=1001891.790279, norm of subgrad 1001.817244 dualbound = 1174317.790279, lowerbound=1001891.790279, norm of subgrad 49.499490 stepsize= 1.000000
+dualbound = 1175022.591990, lowerbound=1001640.591990, norm of subgrad 1001.688870 dualbound = 1175022.591990, lowerbound=1001640.591990, norm of subgrad 49.444936 stepsize= 1.000000
+dualbound = 1175748.838973, lowerbound=1002211.838973, norm of subgrad 1001.974470 dualbound = 1175748.838973, lowerbound=1002211.838973, norm of subgrad 49.671390 stepsize= 1.000000
+dualbound = 1176483.195622, lowerbound=1001361.195622, norm of subgrad 1001.544904 dualbound = 1176483.195622, lowerbound=1001361.195622, norm of subgrad 49.652358 stepsize= 1.000000
+dualbound = 1177170.591675, lowerbound=1004029.591675, norm of subgrad 1002.872670 dualbound = 1177170.591675, lowerbound=1004029.591675, norm of subgrad 49.105968 stepsize= 1.000000
+dualbound = 1177913.396164, lowerbound=1000431.396164, norm of subgrad 1001.074621 dualbound = 1177913.396164, lowerbound=1000431.396164, norm of subgrad 49.616575 stepsize= 1.000000
+dualbound = 1178622.703059, lowerbound=1002025.703059, norm of subgrad 1001.876092 dualbound = 1178622.703059, lowerbound=1002025.703059, norm of subgrad 49.389340 stepsize= 1.000000
+dualbound = 1179320.209533, lowerbound=1001810.209533, norm of subgrad 1001.746080 dualbound = 1179320.209533, lowerbound=1001810.209533, norm of subgrad 48.810926 stepsize= 1.000000
+dualbound = 1180038.451644, lowerbound=1003276.451644, norm of subgrad 1002.541496 dualbound = 1180038.451644, lowerbound=1003276.451644, norm of subgrad 50.311451 stepsize= 1.000000
+dualbound = 1180722.412154, lowerbound=1001515.412154, norm of subgrad 1001.598429 dualbound = 1180722.412154, lowerbound=1001515.412154, norm of subgrad 48.661694 stepsize= 1.000000
+dualbound = 1181459.612680, lowerbound=1002876.612680, norm of subgrad 1002.282701 dualbound = 1181459.612680, lowerbound=1002876.612680, norm of subgrad 49.307206 stepsize= 1.000000
+dualbound = 1182159.245640, lowerbound=1003520.245640, norm of subgrad 1002.605229 dualbound = 1182159.245640, lowerbound=1003520.245640, norm of subgrad 48.955418 stepsize= 1.000000
+dualbound = 1182870.876318, lowerbound=1002978.876318, norm of subgrad 1002.352172 dualbound = 1182870.876318, lowerbound=1002978.876318, norm of subgrad 49.422977 stepsize= 1.000000
+dualbound = 1183589.336457, lowerbound=1002208.336457, norm of subgrad 1001.932800 dualbound = 1183589.336457, lowerbound=1002208.336457, norm of subgrad 48.779710 stepsize= 1.000000
+dualbound = 1184277.192064, lowerbound=1003547.192064, norm of subgrad 1002.658063 dualbound = 1184277.192064, lowerbound=1003547.192064, norm of subgrad 49.637240 stepsize= 1.000000
+dualbound = 1184941.476319, lowerbound=1003527.476319, norm of subgrad 1002.654216 dualbound = 1184941.476319, lowerbound=1003527.476319, norm of subgrad 49.520544 stepsize= 1.000000
+dualbound = 1185665.900714, lowerbound=1002896.900714, norm of subgrad 1002.280350 dualbound = 1185665.900714, lowerbound=1002896.900714, norm of subgrad 48.922637 stepsize= 1.000000
+dualbound = 1186365.713707, lowerbound=1003284.713707, norm of subgrad 1002.510705 dualbound = 1186365.713707, lowerbound=1003284.713707, norm of subgrad 49.424822 stepsize= 1.000000
+dualbound = 1187043.684768, lowerbound=1004788.684768, norm of subgrad 1003.280462 dualbound = 1187043.684768, lowerbound=1004788.684768, norm of subgrad 49.608175 stepsize= 1.000000
+dualbound = 1187736.379048, lowerbound=1002036.379048, norm of subgrad 1001.854470 dualbound = 1187736.379048, lowerbound=1002036.379048, norm of subgrad 48.669233 stepsize= 1.000000
+dualbound = 1188480.768685, lowerbound=1005062.768685, norm of subgrad 1003.342797 dualbound = 1188480.768685, lowerbound=1005062.768685, norm of subgrad 48.768736 stepsize= 1.000000
+dualbound = 1189166.602457, lowerbound=1004248.602457, norm of subgrad 1002.976870 dualbound = 1189166.602457, lowerbound=1004248.602457, norm of subgrad 48.988098 stepsize= 1.000000
+dualbound = 1189820.206735, lowerbound=1005069.206735, norm of subgrad 1003.398329 dualbound = 1189820.206735, lowerbound=1005069.206735, norm of subgrad 48.914254 stepsize= 1.000000
+dualbound = 1190512.406872, lowerbound=1003120.406872, norm of subgrad 1002.426260 dualbound = 1190512.406872, lowerbound=1003120.406872, norm of subgrad 49.297060 stepsize= 1.000000
+dualbound = 1191219.766496, lowerbound=1005229.766496, norm of subgrad 1003.446943 dualbound = 1191219.766496, lowerbound=1005229.766496, norm of subgrad 48.819664 stepsize= 1.000000
+dualbound = 1191925.488108, lowerbound=1004368.488108, norm of subgrad 1003.018688 dualbound = 1191925.488108, lowerbound=1004368.488108, norm of subgrad 48.823372 stepsize= 1.000000
+dualbound = 1192591.720603, lowerbound=1005325.720603, norm of subgrad 1003.542585 dualbound = 1192591.720603, lowerbound=1005325.720603, norm of subgrad 49.378462 stepsize= 1.000000
+dualbound = 1193256.840196, lowerbound=1004127.840196, norm of subgrad 1002.955054 dualbound = 1193256.840196, lowerbound=1004127.840196, norm of subgrad 49.559253 stepsize= 1.000000
+dualbound = 1193962.975795, lowerbound=1004994.975795, norm of subgrad 1003.335425 dualbound = 1193962.975795, lowerbound=1004994.975795, norm of subgrad 48.919685 stepsize= 1.000000
+dualbound = 1194659.413611, lowerbound=1004960.413611, norm of subgrad 1003.337139 dualbound = 1194659.413611, lowerbound=1004960.413611, norm of subgrad 49.208107 stepsize= 1.000000
+dualbound = 1195355.480431, lowerbound=1005878.480431, norm of subgrad 1003.781092 dualbound = 1195355.480431, lowerbound=1005878.480431, norm of subgrad 48.929202 stepsize= 1.000000
+dualbound = 1196018.261270, lowerbound=1005346.261270, norm of subgrad 1003.526911 dualbound = 1196018.261270, lowerbound=1005346.261270, norm of subgrad 48.813736 stepsize= 1.000000
+dualbound = 1196712.324733, lowerbound=1005171.324733, norm of subgrad 1003.440245 dualbound = 1196712.324733, lowerbound=1005171.324733, norm of subgrad 49.143295 stepsize= 1.000000
+dualbound = 1197379.659284, lowerbound=1005354.659284, norm of subgrad 1003.528604 dualbound = 1197379.659284, lowerbound=1005354.659284, norm of subgrad 48.809165 stepsize= 1.000000
+dualbound = 1198069.533342, lowerbound=1004668.533342, norm of subgrad 1003.176721 dualbound = 1198069.533342, lowerbound=1004668.533342, norm of subgrad 48.835172 stepsize= 1.000000
+dualbound = 1198746.115807, lowerbound=1006297.115807, norm of subgrad 1004.023464 dualbound = 1198746.115807, lowerbound=1006297.115807, norm of subgrad 49.422489 stepsize= 1.000000
+dualbound = 1199420.226652, lowerbound=1005274.226652, norm of subgrad 1003.491518 dualbound = 1199420.226652, lowerbound=1005274.226652, norm of subgrad 48.939870 stepsize= 1.000000
+dualbound = 1200140.142981, lowerbound=1005701.142981, norm of subgrad 1003.680797 dualbound = 1200140.142981, lowerbound=1005701.142981, norm of subgrad 48.927664 stepsize= 1.000000
+dualbound = 1200816.846523, lowerbound=1005657.846522, norm of subgrad 1003.674173 dualbound = 1200816.846523, lowerbound=1005657.846522, norm of subgrad 48.792454 stepsize= 1.000000
+dualbound = 1201473.797957, lowerbound=1005463.797957, norm of subgrad 1003.628815 dualbound = 1201473.797957, lowerbound=1005463.797957, norm of subgrad 49.638205 stepsize= 1.000000
+dualbound = 1202140.282381, lowerbound=1006077.282381, norm of subgrad 1003.863677 dualbound = 1202140.282381, lowerbound=1006077.282381, norm of subgrad 48.285447 stepsize= 1.000000
+dualbound = 1202850.821500, lowerbound=1004879.821500, norm of subgrad 1003.282523 dualbound = 1202850.821500, lowerbound=1004879.821500, norm of subgrad 49.056489 stepsize= 1.000000
+dualbound = 1203533.203923, lowerbound=1006698.203923, norm of subgrad 1004.185841 dualbound = 1203533.203923, lowerbound=1006698.203923, norm of subgrad 48.717373 stepsize= 1.000000
+dualbound = 1204205.522440, lowerbound=1005661.522440, norm of subgrad 1003.678994 dualbound = 1204205.522440, lowerbound=1005661.522440, norm of subgrad 48.809000 stepsize= 1.000000
+dualbound = 1204878.049810, lowerbound=1007068.049810, norm of subgrad 1004.381924 dualbound = 1204878.049810, lowerbound=1007068.049810, norm of subgrad 48.862331 stepsize= 1.000000
+dualbound = 1205533.754733, lowerbound=1005338.754733, norm of subgrad 1003.556055 dualbound = 1205533.754733, lowerbound=1005338.754733, norm of subgrad 49.413611 stepsize= 1.000000
+dualbound = 1206223.744992, lowerbound=1006164.744992, norm of subgrad 1003.943597 dualbound = 1206223.744992, lowerbound=1006164.744992, norm of subgrad 49.274641 stepsize= 1.000000
+dualbound = 1206891.659589, lowerbound=1005978.659589, norm of subgrad 1003.823520 dualbound = 1206891.659589, lowerbound=1005978.659589, norm of subgrad 48.486231 stepsize= 1.000000
+dualbound = 1207582.706298, lowerbound=1007112.706298, norm of subgrad 1004.429045 dualbound = 1207582.706298, lowerbound=1007112.706298, norm of subgrad 49.558518 stepsize= 1.000000
+dualbound = 1208225.211936, lowerbound=1006854.211936, norm of subgrad 1004.299862 dualbound = 1208225.211936, lowerbound=1006854.211936, norm of subgrad 49.056148 stepsize= 1.000000
+dualbound = 1208896.546014, lowerbound=1005604.546014, norm of subgrad 1003.637159 dualbound = 1208896.546014, lowerbound=1005604.546014, norm of subgrad 48.521481 stepsize= 1.000000
+dualbound = 1209599.195442, lowerbound=1007250.195442, norm of subgrad 1004.416843 dualbound = 1209599.195442, lowerbound=1007250.195442, norm of subgrad 48.017178 stepsize= 1.000000
+dualbound = 1210281.609273, lowerbound=1008044.609273, norm of subgrad 1004.836608 dualbound = 1210281.609273, lowerbound=1008044.609273, norm of subgrad 48.315772 stepsize= 1.000000
+dualbound = 1210913.996506, lowerbound=1005761.996506, norm of subgrad 1003.748473 dualbound = 1210913.996506, lowerbound=1005761.996506, norm of subgrad 48.799459 stepsize= 1.000000
+dualbound = 1211546.876925, lowerbound=1007530.876925, norm of subgrad 1004.659583 dualbound = 1211546.876925, lowerbound=1007530.876925, norm of subgrad 49.425504 stepsize= 1.000000
+dualbound = 1212233.926814, lowerbound=1005975.926814, norm of subgrad 1003.846067 dualbound = 1212233.926814, lowerbound=1005975.926814, norm of subgrad 49.173671 stepsize= 1.000000
+dualbound = 1212932.372497, lowerbound=1007791.372497, norm of subgrad 1004.698150 dualbound = 1212932.372497, lowerbound=1007791.372497, norm of subgrad 48.222875 stepsize= 1.000000
+dualbound = 1213576.173867, lowerbound=1007502.173867, norm of subgrad 1004.625888 dualbound = 1213576.173867, lowerbound=1007502.173867, norm of subgrad 49.140629 stepsize= 1.000000
+dualbound = 1214226.732747, lowerbound=1006943.732747, norm of subgrad 1004.350403 dualbound = 1214226.732747, lowerbound=1006943.732747, norm of subgrad 49.260114 stepsize= 1.000000
+dualbound = 1214885.087523, lowerbound=1007217.087523, norm of subgrad 1004.454124 dualbound = 1214885.087523, lowerbound=1007217.087523, norm of subgrad 48.676018 stepsize= 1.000000
+dualbound = 1215594.441499, lowerbound=1007205.441499, norm of subgrad 1004.408005 dualbound = 1215594.441499, lowerbound=1007205.441499, norm of subgrad 48.366869 stepsize= 1.000000
+dualbound = 1216234.723975, lowerbound=1007554.723975, norm of subgrad 1004.598788 dualbound = 1216234.723975, lowerbound=1007554.723975, norm of subgrad 48.002942 stepsize= 1.000000
+dualbound = 1216885.493345, lowerbound=1007865.493345, norm of subgrad 1004.780819 dualbound = 1216885.493345, lowerbound=1007865.493345, norm of subgrad 48.680277 stepsize= 1.000000
+dualbound = 1217527.066842, lowerbound=1007896.066842, norm of subgrad 1004.799018 dualbound = 1217527.066842, lowerbound=1007896.066842, norm of subgrad 48.647441 stepsize= 1.000000
+dualbound = 1218187.704486, lowerbound=1007620.704486, norm of subgrad 1004.617193 dualbound = 1218187.704486, lowerbound=1007620.704486, norm of subgrad 47.912813 stepsize= 1.000000
+dualbound = 1218870.456939, lowerbound=1007054.456939, norm of subgrad 1004.339314 dualbound = 1218870.456939, lowerbound=1007054.456939, norm of subgrad 48.226056 stepsize= 1.000000
+dualbound = 1219513.162696, lowerbound=1007025.162696, norm of subgrad 1004.394426 dualbound = 1219513.162696, lowerbound=1007025.162696, norm of subgrad 49.251454 stepsize= 1.000000
+dualbound = 1220152.381328, lowerbound=1008261.381328, norm of subgrad 1004.977304 dualbound = 1220152.381328, lowerbound=1008261.381328, norm of subgrad 48.551196 stepsize= 1.000000
+dualbound = 1220825.643505, lowerbound=1008899.643505, norm of subgrad 1005.253522 dualbound = 1220825.643505, lowerbound=1008899.643505, norm of subgrad 48.044377 stepsize= 1.000000
+dualbound = 1221497.074018, lowerbound=1007826.074018, norm of subgrad 1004.732837 dualbound = 1221497.074018, lowerbound=1007826.074018, norm of subgrad 48.305595 stepsize= 1.000000
+dualbound = 1222111.197985, lowerbound=1009360.197985, norm of subgrad 1005.528815 dualbound = 1222111.197985, lowerbound=1009360.197985, norm of subgrad 48.395495 stepsize= 1.000000
+dualbound = 1222767.723271, lowerbound=1007811.723271, norm of subgrad 1004.731170 dualbound = 1222767.723271, lowerbound=1007811.723271, norm of subgrad 48.265156 stepsize= 1.000000
+dualbound = 1223423.029708, lowerbound=1010438.029708, norm of subgrad 1006.052697 dualbound = 1223423.029708, lowerbound=1010438.029708, norm of subgrad 48.572692 stepsize= 1.000000
+dualbound = 1224056.128007, lowerbound=1008122.128007, norm of subgrad 1004.878663 dualbound = 1224056.128007, lowerbound=1008122.128007, norm of subgrad 47.875863 stepsize= 1.000000
+dualbound = 1224730.512814, lowerbound=1009420.512814, norm of subgrad 1005.533447 dualbound = 1224730.512814, lowerbound=1009420.512814, norm of subgrad 48.491080 stepsize= 1.000000
+dualbound = 1225347.002141, lowerbound=1010203.002141, norm of subgrad 1005.941848 dualbound = 1225347.002141, lowerbound=1010203.002141, norm of subgrad 48.295852 stepsize= 1.000000
+dualbound = 1226005.738353, lowerbound=1009227.738353, norm of subgrad 1005.430623 dualbound = 1226005.738353, lowerbound=1009227.738353, norm of subgrad 48.184398 stepsize= 1.000000
+dualbound = 1226658.563617, lowerbound=1010312.563617, norm of subgrad 1005.969465 dualbound = 1226658.563617, lowerbound=1010312.563617, norm of subgrad 48.112631 stepsize= 1.000000
+dualbound = 1227294.845334, lowerbound=1009836.845334, norm of subgrad 1005.732989 dualbound = 1227294.845334, lowerbound=1009836.845334, norm of subgrad 47.940398 stepsize= 1.000000
+dualbound = 1227926.227145, lowerbound=1009986.227145, norm of subgrad 1005.811725 dualbound = 1227926.227145, lowerbound=1009986.227145, norm of subgrad 47.983141 stepsize= 1.000000
+dualbound = 1228562.558133, lowerbound=1009394.558133, norm of subgrad 1005.522033 dualbound = 1228562.558133, lowerbound=1009394.558133, norm of subgrad 48.128276 stepsize= 1.000000
+dualbound = 1229192.655093, lowerbound=1010950.655093, norm of subgrad 1006.282095 dualbound = 1229192.655093, lowerbound=1010950.655093, norm of subgrad 47.781764 stepsize= 1.000000
+dualbound = 1229837.530328, lowerbound=1009442.530328, norm of subgrad 1005.541909 dualbound = 1229837.530328, lowerbound=1009442.530328, norm of subgrad 48.133930 stepsize= 1.000000
+dualbound = 1230461.994996, lowerbound=1010497.994996, norm of subgrad 1006.108342 dualbound = 1230461.994996, lowerbound=1010497.994996, norm of subgrad 48.790006 stepsize= 1.000000
+dualbound = 1231104.077386, lowerbound=1011237.077386, norm of subgrad 1006.436326 dualbound = 1231104.077386, lowerbound=1011237.077386, norm of subgrad 48.156852 stepsize= 1.000000
+dualbound = 1231745.447264, lowerbound=1009790.447264, norm of subgrad 1005.722848 dualbound = 1231745.447264, lowerbound=1009790.447264, norm of subgrad 48.263546 stepsize= 1.000000
+dualbound = 1232380.813697, lowerbound=1009833.813697, norm of subgrad 1005.745402 dualbound = 1232380.813697, lowerbound=1009833.813697, norm of subgrad 48.222053 stepsize= 1.000000
+dualbound = 1233007.341772, lowerbound=1010958.341772, norm of subgrad 1006.302808 dualbound = 1233007.341772, lowerbound=1010958.341772, norm of subgrad 48.099148 stepsize= 1.000000
+dualbound = 1233680.298410, lowerbound=1010733.298410, norm of subgrad 1006.180550 dualbound = 1233680.298410, lowerbound=1010733.298410, norm of subgrad 48.362761 stepsize= 1.000000
+dualbound = 1234284.762097, lowerbound=1011653.762097, norm of subgrad 1006.684043 dualbound = 1234284.762097, lowerbound=1011653.762097, norm of subgrad 48.615468 stepsize= 1.000000
+dualbound = 1234891.229555, lowerbound=1011139.229555, norm of subgrad 1006.436898 dualbound = 1234891.229555, lowerbound=1011139.229555, norm of subgrad 48.810526 stepsize= 1.000000
+dualbound = 1235541.173036, lowerbound=1010703.173036, norm of subgrad 1006.189432 dualbound = 1235541.173036, lowerbound=1010703.173036, norm of subgrad 48.620402 stepsize= 1.000000
+dualbound = 1236167.420756, lowerbound=1010998.420756, norm of subgrad 1006.336137 dualbound = 1236167.420756, lowerbound=1010998.420756, norm of subgrad 48.376107 stepsize= 1.000000
+dualbound = 1236810.885040, lowerbound=1012215.885040, norm of subgrad 1006.901626 dualbound = 1236810.885040, lowerbound=1012215.885040, norm of subgrad 47.733262 stepsize= 1.000000
+dualbound = 1237447.131811, lowerbound=1010657.131811, norm of subgrad 1006.108907 dualbound = 1237447.131811, lowerbound=1010657.131811, norm of subgrad 47.267820 stepsize= 1.000000
+dualbound = 1238096.590542, lowerbound=1011064.590542, norm of subgrad 1006.342680 dualbound = 1238096.590542, lowerbound=1011064.590542, norm of subgrad 48.067231 stepsize= 1.000000
+dualbound = 1238688.405603, lowerbound=1011455.405603, norm of subgrad 1006.538328 dualbound = 1238688.405603, lowerbound=1011455.405603, norm of subgrad 47.495421 stepsize= 1.000000
+dualbound = 1239321.387211, lowerbound=1011937.387211, norm of subgrad 1006.782195 dualbound = 1239321.387211, lowerbound=1011937.387211, norm of subgrad 48.020637 stepsize= 1.000000
+dualbound = 1239958.381613, lowerbound=1010500.381613, norm of subgrad 1006.067782 dualbound = 1239958.381613, lowerbound=1010500.381613, norm of subgrad 48.051997 stepsize= 1.000000
+dualbound = 1240569.031471, lowerbound=1013511.031471, norm of subgrad 1007.556466 dualbound = 1240569.031471, lowerbound=1013511.031471, norm of subgrad 47.640842 stepsize= 1.000000
+dualbound = 1241234.649338, lowerbound=1011362.649338, norm of subgrad 1006.482811 dualbound = 1241234.649338, lowerbound=1011362.649338, norm of subgrad 48.068887 stepsize= 1.000000
+dualbound = 1241819.186582, lowerbound=1011517.186582, norm of subgrad 1006.584913 dualbound = 1241819.186582, lowerbound=1011517.186582, norm of subgrad 47.754971 stepsize= 1.000000
+dualbound = 1242429.779902, lowerbound=1011264.779902, norm of subgrad 1006.464495 dualbound = 1242429.779902, lowerbound=1011264.779902, norm of subgrad 48.131002 stepsize= 1.000000
+dualbound = 1243086.047588, lowerbound=1011532.047588, norm of subgrad 1006.574412 dualbound = 1243086.047588, lowerbound=1011532.047588, norm of subgrad 48.127619 stepsize= 1.000000
+dualbound = 1243686.352927, lowerbound=1011775.352927, norm of subgrad 1006.670429 dualbound = 1243686.352927, lowerbound=1011775.352927, norm of subgrad 47.013885 stepsize= 1.000000
+dualbound = 1244330.077974, lowerbound=1013428.077974, norm of subgrad 1007.521254 dualbound = 1244330.077974, lowerbound=1013428.077974, norm of subgrad 48.111590 stepsize= 1.000000
+dualbound = 1244932.048590, lowerbound=1011646.048590, norm of subgrad 1006.635013 dualbound = 1244932.048590, lowerbound=1011646.048590, norm of subgrad 47.644209 stepsize= 1.000000
+dualbound = 1245542.770671, lowerbound=1011758.770671, norm of subgrad 1006.707887 dualbound = 1245542.770671, lowerbound=1011758.770671, norm of subgrad 48.090769 stepsize= 1.000000
+dualbound = 1246168.123983, lowerbound=1012247.123983, norm of subgrad 1006.967787 dualbound = 1246168.123983, lowerbound=1012247.123983, norm of subgrad 48.604046 stepsize= 1.000000
+dualbound = 1246766.749038, lowerbound=1011663.749038, norm of subgrad 1006.656719 dualbound = 1246766.749038, lowerbound=1011663.749038, norm of subgrad 47.881364 stepsize= 1.000000
+dualbound = 1247413.474914, lowerbound=1012496.474914, norm of subgrad 1007.073222 dualbound = 1247413.474914, lowerbound=1012496.474914, norm of subgrad 48.443017 stepsize= 1.000000
+dualbound = 1248011.005965, lowerbound=1011528.005965, norm of subgrad 1006.601712 dualbound = 1248011.005965, lowerbound=1011528.005965, norm of subgrad 48.130355 stepsize= 1.000000
+dualbound = 1248632.899619, lowerbound=1014224.899619, norm of subgrad 1007.934968 dualbound = 1248632.899619, lowerbound=1014224.899619, norm of subgrad 48.268972 stepsize= 1.000000
+dualbound = 1249248.621933, lowerbound=1011503.621933, norm of subgrad 1006.596057 dualbound = 1249248.621933, lowerbound=1011503.621933, norm of subgrad 48.453300 stepsize= 1.000000
+dualbound = 1249856.793179, lowerbound=1012704.793179, norm of subgrad 1007.163241 dualbound = 1249856.793179, lowerbound=1012704.793179, norm of subgrad 47.761608 stepsize= 1.000000
+dualbound = 1250515.641069, lowerbound=1011114.641069, norm of subgrad 1006.343699 dualbound = 1250515.641069, lowerbound=1011114.641069, norm of subgrad 47.663906 stepsize= 1.000000
+dualbound = 1251109.992900, lowerbound=1013750.992900, norm of subgrad 1007.679509 dualbound = 1251109.992900, lowerbound=1013750.992900, norm of subgrad 47.553673 stepsize= 1.000000
+dualbound = 1251703.345639, lowerbound=1013717.345639, norm of subgrad 1007.691096 dualbound = 1251703.345639, lowerbound=1013717.345639, norm of subgrad 48.138890 stepsize= 1.000000
+dualbound = 1252318.379192, lowerbound=1014130.379192, norm of subgrad 1007.870219 dualbound = 1252318.379192, lowerbound=1014130.379192, norm of subgrad 47.822940 stepsize= 1.000000
+dualbound = 1252906.557180, lowerbound=1013076.557180, norm of subgrad 1007.338353 dualbound = 1252906.557180, lowerbound=1013076.557180, norm of subgrad 47.351642 stepsize= 1.000000
+dualbound = 1253538.790479, lowerbound=1013423.790479, norm of subgrad 1007.509697 dualbound = 1253538.790479, lowerbound=1013423.790479, norm of subgrad 47.793653 stepsize= 1.000000
+dualbound = 1254147.983885, lowerbound=1013660.983885, norm of subgrad 1007.639809 dualbound = 1254147.983885, lowerbound=1013660.983885, norm of subgrad 47.814155 stepsize= 1.000000
+dualbound = 1254737.922930, lowerbound=1014066.922930, norm of subgrad 1007.830305 dualbound = 1254737.922930, lowerbound=1014066.922930, norm of subgrad 47.380788 stepsize= 1.000000
+dualbound = 1255352.655734, lowerbound=1014877.655734, norm of subgrad 1008.216572 dualbound = 1255352.655734, lowerbound=1014877.655734, norm of subgrad 47.304681 stepsize= 1.000000
+dualbound = 1255961.135796, lowerbound=1013147.135796, norm of subgrad 1007.355020 dualbound = 1255961.135796, lowerbound=1013147.135796, norm of subgrad 47.174994 stepsize= 1.000000
+dualbound = 1256561.016656, lowerbound=1014634.016656, norm of subgrad 1008.120537 dualbound = 1256561.016656, lowerbound=1014634.016656, norm of subgrad 47.674740 stepsize= 1.000000
+dualbound = 1257129.930773, lowerbound=1014619.930773, norm of subgrad 1008.101151 dualbound = 1257129.930773, lowerbound=1014619.930773, norm of subgrad 47.084117 stepsize= 1.000000
+dualbound = 1257776.462930, lowerbound=1014459.462930, norm of subgrad 1008.041895 dualbound = 1257776.462930, lowerbound=1014459.462930, norm of subgrad 48.327344 stepsize= 1.000000
+dualbound = 1258344.378132, lowerbound=1013255.378132, norm of subgrad 1007.454901 dualbound = 1258344.378132, lowerbound=1013255.378132, norm of subgrad 47.727510 stepsize= 1.000000
+dualbound = 1258939.607348, lowerbound=1015490.607348, norm of subgrad 1008.546284 dualbound = 1258939.607348, lowerbound=1015490.607348, norm of subgrad 47.646922 stepsize= 1.000000
+dualbound = 1259560.706700, lowerbound=1013731.706700, norm of subgrad 1007.645129 dualbound = 1259560.706700, lowerbound=1013731.706700, norm of subgrad 47.308555 stepsize= 1.000000
+dualbound = 1260149.732094, lowerbound=1014151.732094, norm of subgrad 1007.879820 dualbound = 1260149.732094, lowerbound=1014151.732094, norm of subgrad 47.529206 stepsize= 1.000000
+dualbound = 1260732.026215, lowerbound=1015610.026215, norm of subgrad 1008.595571 dualbound = 1260732.026215, lowerbound=1015610.026215, norm of subgrad 47.300044 stepsize= 1.000000
+dualbound = 1261357.662962, lowerbound=1014452.662962, norm of subgrad 1008.023146 dualbound = 1261357.662962, lowerbound=1014452.662962, norm of subgrad 47.787412 stepsize= 1.000000
+dualbound = 1261929.599814, lowerbound=1013748.599814, norm of subgrad 1007.683283 dualbound = 1261929.599814, lowerbound=1013748.599814, norm of subgrad 47.422957 stepsize= 1.000000
+dualbound = 1262539.375480, lowerbound=1015624.375480, norm of subgrad 1008.602189 dualbound = 1262539.375480, lowerbound=1015624.375480, norm of subgrad 47.579152 stepsize= 1.000000
+dualbound = 1263152.263977, lowerbound=1014094.263977, norm of subgrad 1007.823032 dualbound = 1263152.263977, lowerbound=1014094.263977, norm of subgrad 47.179323 stepsize= 1.000000
+dualbound = 1263731.883392, lowerbound=1015010.883392, norm of subgrad 1008.304956 dualbound = 1263731.883392, lowerbound=1015010.883392, norm of subgrad 47.409065 stepsize= 1.000000
+dualbound = 1264306.163736, lowerbound=1015754.163736, norm of subgrad 1008.663553 dualbound = 1264306.163736, lowerbound=1015754.163736, norm of subgrad 47.141069 stepsize= 1.000000
+dualbound = 1264933.362119, lowerbound=1015263.362119, norm of subgrad 1008.404860 dualbound = 1264933.362119, lowerbound=1015263.362119, norm of subgrad 47.372971 stepsize= 1.000000
+dualbound = 1265492.838954, lowerbound=1013481.838954, norm of subgrad 1007.546445 dualbound = 1265492.838954, lowerbound=1013481.838954, norm of subgrad 47.196153 stepsize= 1.000000
+dualbound = 1266084.538319, lowerbound=1016918.538319, norm of subgrad 1009.236116 dualbound = 1266084.538319, lowerbound=1016918.538319, norm of subgrad 47.230280 stepsize= 1.000000
+dualbound = 1266695.988312, lowerbound=1013741.988312, norm of subgrad 1007.688934 dualbound = 1266695.988312, lowerbound=1013741.988312, norm of subgrad 48.025514 stepsize= 1.000000
+dualbound = 1267262.794862, lowerbound=1016223.794862, norm of subgrad 1008.936963 dualbound = 1267262.794862, lowerbound=1016223.794862, norm of subgrad 47.925010 stepsize= 1.000000
+dualbound = 1267847.017757, lowerbound=1015913.017757, norm of subgrad 1008.760635 dualbound = 1267847.017757, lowerbound=1015913.017757, norm of subgrad 47.636361 stepsize= 1.000000
+dualbound = 1268451.430998, lowerbound=1014931.430998, norm of subgrad 1008.237785 dualbound = 1268451.430998, lowerbound=1014931.430998, norm of subgrad 47.078798 stepsize= 1.000000
+dualbound = 1269078.305697, lowerbound=1016013.305697, norm of subgrad 1008.808359 dualbound = 1269078.305697, lowerbound=1016013.305697, norm of subgrad 48.040345 stepsize= 1.000000
+dualbound = 1269628.646045, lowerbound=1016478.646045, norm of subgrad 1009.036494 dualbound = 1269628.646045, lowerbound=1016478.646045, norm of subgrad 47.184111 stepsize= 1.000000
+dualbound = 1270217.295124, lowerbound=1014281.295124, norm of subgrad 1007.952526 dualbound = 1270217.295124, lowerbound=1014281.295124, norm of subgrad 47.703764 stepsize= 1.000000
+dualbound = 1270814.388246, lowerbound=1016611.388246, norm of subgrad 1009.092359 dualbound = 1270814.388246, lowerbound=1016611.388246, norm of subgrad 47.466758 stepsize= 1.000000
+dualbound = 1271417.618455, lowerbound=1015678.618455, norm of subgrad 1008.611728 dualbound = 1271417.618455, lowerbound=1015678.618455, norm of subgrad 47.140537 stepsize= 1.000000
+dualbound = 1271996.498842, lowerbound=1015075.498842, norm of subgrad 1008.353360 dualbound = 1271996.498842, lowerbound=1015075.498842, norm of subgrad 47.748093 stepsize= 1.000000
+dualbound = 1272592.120515, lowerbound=1015007.120515, norm of subgrad 1008.302098 dualbound = 1272592.120515, lowerbound=1015007.120515, norm of subgrad 47.556510 stepsize= 1.000000
+dualbound = 1273172.829242, lowerbound=1016872.829242, norm of subgrad 1009.200589 dualbound = 1273172.829242, lowerbound=1016872.829242, norm of subgrad 46.837044 stepsize= 1.000000
+dualbound = 1273768.242747, lowerbound=1016683.242747, norm of subgrad 1009.134898 dualbound = 1273768.242747, lowerbound=1016683.242747, norm of subgrad 47.596360 stepsize= 1.000000
+dualbound = 1274349.102484, lowerbound=1016997.102484, norm of subgrad 1009.285937 dualbound = 1274349.102484, lowerbound=1016997.102484, norm of subgrad 47.348281 stepsize= 1.000000
+dualbound = 1274938.633085, lowerbound=1014892.633085, norm of subgrad 1008.258217 dualbound = 1274938.633085, lowerbound=1014892.633085, norm of subgrad 47.765370 stepsize= 1.000000
+dualbound = 1275496.575099, lowerbound=1016889.575099, norm of subgrad 1009.266355 dualbound = 1275496.575099, lowerbound=1016889.575099, norm of subgrad 47.821983 stepsize= 1.000000
+dualbound = 1276105.963442, lowerbound=1015795.963442, norm of subgrad 1008.677334 dualbound = 1276105.963442, lowerbound=1015795.963442, norm of subgrad 47.364421 stepsize= 1.000000
+dualbound = 1276710.734979, lowerbound=1018135.734979, norm of subgrad 1009.827577 dualbound = 1276710.734979, lowerbound=1018135.734979, norm of subgrad 47.125063 stepsize= 1.000000
+dualbound = 1277295.790034, lowerbound=1014235.790034, norm of subgrad 1007.904157 dualbound = 1277295.790034, lowerbound=1014235.790034, norm of subgrad 47.117460 stepsize= 1.000000
+dualbound = 1277861.680783, lowerbound=1018354.680783, norm of subgrad 1009.939939 dualbound = 1277861.680783, lowerbound=1018354.680783, norm of subgrad 46.796269 stepsize= 1.000000
+dualbound = 1278465.800688, lowerbound=1016683.800688, norm of subgrad 1009.119815 dualbound = 1278465.800688, lowerbound=1016683.800688, norm of subgrad 47.361587 stepsize= 1.000000
+dualbound = 1279031.189117, lowerbound=1016300.189117, norm of subgrad 1008.935176 dualbound = 1279031.189117, lowerbound=1016300.189117, norm of subgrad 47.067913 stepsize= 1.000000
+dualbound = 1279631.768062, lowerbound=1017616.768062, norm of subgrad 1009.560681 dualbound = 1279631.768062, lowerbound=1017616.768062, norm of subgrad 46.867675 stepsize= 1.000000
+dualbound = 1280220.816638, lowerbound=1015605.816638, norm of subgrad 1008.577125 dualbound = 1280220.816638, lowerbound=1015605.816638, norm of subgrad 47.021788 stepsize= 1.000000
+dualbound = 1280803.135698, lowerbound=1018113.135698, norm of subgrad 1009.847580 dualbound = 1280803.135698, lowerbound=1018113.135698, norm of subgrad 47.553329 stepsize= 1.000000
+dualbound = 1281333.749153, lowerbound=1015639.749153, norm of subgrad 1008.610802 dualbound = 1281333.749153, lowerbound=1015639.749153, norm of subgrad 46.761239 stepsize= 1.000000
+dualbound = 1281956.997138, lowerbound=1019480.997138, norm of subgrad 1010.520162 dualbound = 1281956.997138, lowerbound=1019480.997138, norm of subgrad 47.887869 stepsize= 1.000000
+dualbound = 1282517.685356, lowerbound=1016182.685356, norm of subgrad 1008.859596 dualbound = 1282517.685356, lowerbound=1016182.685356, norm of subgrad 46.644273 stepsize= 1.000000
+dualbound = 1283135.731674, lowerbound=1016214.731674, norm of subgrad 1008.875974 dualbound = 1283135.731674, lowerbound=1016214.731674, norm of subgrad 47.265699 stepsize= 1.000000
+dualbound = 1283667.031364, lowerbound=1020053.031364, norm of subgrad 1010.846690 dualbound = 1283667.031364, lowerbound=1020053.031364, norm of subgrad 47.846627 stepsize= 1.000000
+dualbound = 1284258.139220, lowerbound=1015125.139220, norm of subgrad 1008.358140 dualbound = 1284258.139220, lowerbound=1015125.139220, norm of subgrad 47.456378 stepsize= 1.000000
+dualbound = 1284834.338734, lowerbound=1019126.338734, norm of subgrad 1010.336745 dualbound = 1284834.338734, lowerbound=1019126.338734, norm of subgrad 47.224988 stepsize= 1.000000
+dualbound = 1285408.503522, lowerbound=1016415.503522, norm of subgrad 1009.002727 dualbound = 1285408.503522, lowerbound=1016415.503522, norm of subgrad 47.383170 stepsize= 1.000000
+dualbound = 1285987.744683, lowerbound=1017027.744683, norm of subgrad 1009.291209 dualbound = 1285987.744683, lowerbound=1017027.744683, norm of subgrad 47.119435 stepsize= 1.000000
+dualbound = 1286567.356678, lowerbound=1018761.356678, norm of subgrad 1010.124426 dualbound = 1286567.356678, lowerbound=1018761.356678, norm of subgrad 46.579094 stepsize= 1.000000
+dualbound = 1287145.410521, lowerbound=1019578.410521, norm of subgrad 1010.564402 dualbound = 1287145.410521, lowerbound=1019578.410521, norm of subgrad 47.329207 stepsize= 1.000000
+dualbound = 1287705.094993, lowerbound=1016134.094993, norm of subgrad 1008.875163 dualbound = 1287705.094993, lowerbound=1016134.094993, norm of subgrad 47.483518 stepsize= 1.000000
+dualbound = 1288293.038937, lowerbound=1017448.038937, norm of subgrad 1009.524165 dualbound = 1288293.038937, lowerbound=1017448.038937, norm of subgrad 47.738286 stepsize= 1.000000
+dualbound = 1288833.061499, lowerbound=1018568.061499, norm of subgrad 1010.073295 dualbound = 1288833.061499, lowerbound=1018568.061499, norm of subgrad 47.117115 stepsize= 1.000000
+dualbound = 1289464.159181, lowerbound=1018106.159181, norm of subgrad 1009.803030 dualbound = 1289464.159181, lowerbound=1018106.159181, norm of subgrad 47.192136 stepsize= 1.000000
+dualbound = 1290028.557506, lowerbound=1018841.557506, norm of subgrad 1010.165114 dualbound = 1290028.557506, lowerbound=1018841.557506, norm of subgrad 46.437036 stepsize= 1.000000
+dualbound = 1290593.987590, lowerbound=1017663.987590, norm of subgrad 1009.615762 dualbound = 1290593.987590, lowerbound=1017663.987590, norm of subgrad 47.174464 stepsize= 1.000000
+dualbound = 1291156.115697, lowerbound=1018650.115697, norm of subgrad 1010.092627 dualbound = 1291156.115697, lowerbound=1018650.115697, norm of subgrad 46.894862 stepsize= 1.000000
+dualbound = 1291758.208754, lowerbound=1017821.208754, norm of subgrad 1009.675299 dualbound = 1291758.208754, lowerbound=1017821.208754, norm of subgrad 47.170892 stepsize= 1.000000
+dualbound = 1292312.740439, lowerbound=1019006.740439, norm of subgrad 1010.268648 dualbound = 1292312.740439, lowerbound=1019006.740439, norm of subgrad 46.803116 stepsize= 1.000000
+dualbound = 1292892.660929, lowerbound=1016447.660929, norm of subgrad 1008.990912 dualbound = 1292892.660929, lowerbound=1016447.660929, norm of subgrad 46.849979 stepsize= 1.000000
+dualbound = 1293449.521427, lowerbound=1018694.521427, norm of subgrad 1010.163116 dualbound = 1293449.521427, lowerbound=1018694.521427, norm of subgrad 47.873380 stepsize= 1.000000
+dualbound = 1294016.369562, lowerbound=1019148.369562, norm of subgrad 1010.311026 dualbound = 1294016.369562, lowerbound=1019148.369562, norm of subgrad 46.334093 stepsize= 1.000000
+dualbound = 1294620.127315, lowerbound=1018601.127315, norm of subgrad 1010.051547 dualbound = 1294620.127315, lowerbound=1018601.127315, norm of subgrad 46.976140 stepsize= 1.000000
+dualbound = 1295167.153478, lowerbound=1019087.153478, norm of subgrad 1010.310919 dualbound = 1295167.153478, lowerbound=1019087.153478, norm of subgrad 46.776342 stepsize= 1.000000
+dualbound = 1295729.124623, lowerbound=1018461.124623, norm of subgrad 1010.002042 dualbound = 1295729.124623, lowerbound=1018461.124623, norm of subgrad 46.957120 stepsize= 1.000000
+dualbound = 1296316.533231, lowerbound=1017506.533231, norm of subgrad 1009.528372 dualbound = 1296316.533231, lowerbound=1017506.533231, norm of subgrad 47.206023 stepsize= 1.000000
+dualbound = 1296875.714794, lowerbound=1019042.714794, norm of subgrad 1010.311692 dualbound = 1296875.714794, lowerbound=1019042.714794, norm of subgrad 47.393898 stepsize= 1.000000
+dualbound = 1297412.747587, lowerbound=1019897.747587, norm of subgrad 1010.726347 dualbound = 1297412.747587, lowerbound=1019897.747587, norm of subgrad 46.979068 stepsize= 1.000000
+dualbound = 1298019.663664, lowerbound=1017788.663664, norm of subgrad 1009.641849 dualbound = 1298019.663664, lowerbound=1017788.663664, norm of subgrad 46.849931 stepsize= 1.000000
+dualbound = 1298594.471300, lowerbound=1020401.471300, norm of subgrad 1010.934949 dualbound = 1298594.471300, lowerbound=1020401.471300, norm of subgrad 46.505996 stepsize= 1.000000
+dualbound = 1299164.207023, lowerbound=1019053.207023, norm of subgrad 1010.295604 dualbound = 1299164.207023, lowerbound=1019053.207023, norm of subgrad 47.050353 stepsize= 1.000000
+dualbound = 1299696.937731, lowerbound=1019536.937731, norm of subgrad 1010.559220 dualbound = 1299696.937731, lowerbound=1019536.937731, norm of subgrad 47.177651 stepsize= 1.000000
+dualbound = 1300270.943844, lowerbound=1018140.943844, norm of subgrad 1009.877192 dualbound = 1300270.943844, lowerbound=1018140.943844, norm of subgrad 47.801738 stepsize= 1.000000
+dualbound = 1300845.237443, lowerbound=1020216.237443, norm of subgrad 1010.896749 dualbound = 1300845.237443, lowerbound=1020216.237443, norm of subgrad 47.647598 stepsize= 1.000000
+dualbound = 1301411.871198, lowerbound=1018403.871198, norm of subgrad 1009.962807 dualbound = 1301411.871198, lowerbound=1018403.871198, norm of subgrad 46.772147 stepsize= 1.000000
+dualbound = 1301951.719973, lowerbound=1020523.719973, norm of subgrad 1011.046844 dualbound = 1301951.719973, lowerbound=1020523.719973, norm of subgrad 47.242447 stepsize= 1.000000
+dualbound = 1302552.588273, lowerbound=1019532.588273, norm of subgrad 1010.534803 dualbound = 1302552.588273, lowerbound=1019532.588273, norm of subgrad 47.422234 stepsize= 1.000000
+dualbound = 1303100.592265, lowerbound=1017637.592265, norm of subgrad 1009.602690 dualbound = 1303100.592265, lowerbound=1017637.592265, norm of subgrad 46.989403 stepsize= 1.000000
+dualbound = 1303704.724251, lowerbound=1020033.724251, norm of subgrad 1010.764426 dualbound = 1303704.724251, lowerbound=1020033.724251, norm of subgrad 47.065189 stepsize= 1.000000
+dualbound = 1304222.717394, lowerbound=1019484.717394, norm of subgrad 1010.527940 dualbound = 1304222.717394, lowerbound=1019484.717394, norm of subgrad 46.904085 stepsize= 1.000000
+dualbound = 1304801.991849, lowerbound=1018235.991849, norm of subgrad 1009.887613 dualbound = 1304801.991849, lowerbound=1018235.991849, norm of subgrad 47.077324 stepsize= 1.000000
+dualbound = 1305382.440129, lowerbound=1020664.440129, norm of subgrad 1011.075388 dualbound = 1305382.440129, lowerbound=1020664.440129, norm of subgrad 46.791541 stepsize= 1.000000
+dualbound = 1305919.458493, lowerbound=1019827.458493, norm of subgrad 1010.703942 dualbound = 1305919.458493, lowerbound=1019827.458493, norm of subgrad 47.244242 stepsize= 1.000000
+dualbound = 1306481.881086, lowerbound=1019971.881086, norm of subgrad 1010.761041 dualbound = 1306481.881086, lowerbound=1019971.881086, norm of subgrad 47.206171 stepsize= 1.000000
+dualbound = 1307060.258976, lowerbound=1019471.258976, norm of subgrad 1010.513859 dualbound = 1307060.258976, lowerbound=1019471.258976, norm of subgrad 47.385419 stepsize= 1.000000
+dualbound = 1307601.100849, lowerbound=1020602.100849, norm of subgrad 1011.085605 dualbound = 1307601.100849, lowerbound=1020602.100849, norm of subgrad 47.252956 stepsize= 1.000000
+dualbound = 1308191.894268, lowerbound=1019516.894268, norm of subgrad 1010.529017 dualbound = 1308191.894268, lowerbound=1019516.894268, norm of subgrad 47.358140 stepsize= 1.000000
+dualbound = 1308735.545492, lowerbound=1020930.545492, norm of subgrad 1011.232686 dualbound = 1308735.545492, lowerbound=1020930.545492, norm of subgrad 46.953714 stepsize= 1.000000
+dualbound = 1309319.032125, lowerbound=1019929.032125, norm of subgrad 1010.728466 dualbound = 1309319.032125, lowerbound=1019929.032125, norm of subgrad 47.185661 stepsize= 1.000000
+dualbound = 1309871.529940, lowerbound=1020521.529940, norm of subgrad 1010.993338 dualbound = 1309871.529940, lowerbound=1020521.529940, norm of subgrad 46.243895 stepsize= 1.000000
+dualbound = 1310441.434477, lowerbound=1019311.434477, norm of subgrad 1010.386775 dualbound = 1310441.434477, lowerbound=1019311.434477, norm of subgrad 46.259102 stepsize= 1.000000
+dualbound = 1310993.431596, lowerbound=1021242.431596, norm of subgrad 1011.357223 dualbound = 1310993.431596, lowerbound=1021242.431596, norm of subgrad 46.400400 stepsize= 1.000000
+dualbound = 1311557.541320, lowerbound=1020935.541320, norm of subgrad 1011.219828 dualbound = 1311557.541320, lowerbound=1020935.541320, norm of subgrad 46.841325 stepsize= 1.000000
+dualbound = 1312083.621177, lowerbound=1020476.621177, norm of subgrad 1011.011187 dualbound = 1312083.621177, lowerbound=1020476.621177, norm of subgrad 46.830331 stepsize= 1.000000
+dualbound = 1312637.635750, lowerbound=1021272.635750, norm of subgrad 1011.431479 dualbound = 1312637.635750, lowerbound=1021272.635750, norm of subgrad 47.697113 stepsize= 1.000000
+dualbound = 1313186.934997, lowerbound=1020550.934997, norm of subgrad 1011.041510 dualbound = 1313186.934997, lowerbound=1020550.934997, norm of subgrad 46.939315 stepsize= 1.000000
+dualbound = 1313757.466645, lowerbound=1021246.466645, norm of subgrad 1011.386903 dualbound = 1313757.466645, lowerbound=1021246.466645, norm of subgrad 47.196733 stepsize= 1.000000
+dualbound = 1314307.156059, lowerbound=1020872.156059, norm of subgrad 1011.202826 dualbound = 1314307.156059, lowerbound=1020872.156059, norm of subgrad 46.996696 stepsize= 1.000000
+dualbound = 1314863.103145, lowerbound=1020299.103145, norm of subgrad 1010.877887 dualbound = 1314863.103145, lowerbound=1020299.103145, norm of subgrad 46.162182 stepsize= 1.000000
+dualbound = 1315427.515568, lowerbound=1021689.515568, norm of subgrad 1011.602944 dualbound = 1315427.515568, lowerbound=1021689.515568, norm of subgrad 47.068168 stepsize= 1.000000
+dualbound = 1315974.630012, lowerbound=1019091.630012, norm of subgrad 1010.339364 dualbound = 1315974.630012, lowerbound=1019091.630012, norm of subgrad 47.340410 stepsize= 1.000000
+dualbound = 1316525.563297, lowerbound=1021247.563297, norm of subgrad 1011.372119 dualbound = 1316525.563297, lowerbound=1021247.563297, norm of subgrad 46.657618 stepsize= 1.000000
+dualbound = 1317101.354729, lowerbound=1022373.354729, norm of subgrad 1011.915686 dualbound = 1317101.354729, lowerbound=1022373.354729, norm of subgrad 46.645380 stepsize= 1.000000
+dualbound = 1317649.023684, lowerbound=1021853.023684, norm of subgrad 1011.669918 dualbound = 1317649.023684, lowerbound=1021853.023684, norm of subgrad 46.590438 stepsize= 1.000000
+dualbound = 1318212.363425, lowerbound=1022692.363425, norm of subgrad 1012.093061 dualbound = 1318212.363425, lowerbound=1022692.363425, norm of subgrad 46.939746 stepsize= 1.000000
+dualbound = 1318759.361644, lowerbound=1018571.361644, norm of subgrad 1010.020971 dualbound = 1318759.361644, lowerbound=1018571.361644, norm of subgrad 46.021715 stepsize= 1.000000
+dualbound = 1319318.643178, lowerbound=1022302.643178, norm of subgrad 1011.894087 dualbound = 1319318.643178, lowerbound=1022302.643178, norm of subgrad 46.757690 stepsize= 1.000000
+dualbound = 1319836.673181, lowerbound=1022031.673181, norm of subgrad 1011.780447 dualbound = 1319836.673181, lowerbound=1022031.673181, norm of subgrad 46.755000 stepsize= 1.000000
+dualbound = 1320393.721527, lowerbound=1022132.721527, norm of subgrad 1011.818522 dualbound = 1320393.721527, lowerbound=1022132.721527, norm of subgrad 46.915332 stepsize= 1.000000
+dualbound = 1320955.118033, lowerbound=1021398.118033, norm of subgrad 1011.473241 dualbound = 1320955.118033, lowerbound=1021398.118033, norm of subgrad 47.343389 stepsize= 1.000000
+dualbound = 1321508.866868, lowerbound=1021898.866868, norm of subgrad 1011.700483 dualbound = 1321508.866868, lowerbound=1021898.866868, norm of subgrad 46.826796 stepsize= 1.000000
+dualbound = 1322067.552544, lowerbound=1022741.552544, norm of subgrad 1012.098094 dualbound = 1322067.552544, lowerbound=1022741.552544, norm of subgrad 46.472418 stepsize= 1.000000
+dualbound = 1322604.567483, lowerbound=1021377.567483, norm of subgrad 1011.429467 dualbound = 1322604.567483, lowerbound=1021377.567483, norm of subgrad 46.357469 stepsize= 1.000000
+dualbound = 1323138.088657, lowerbound=1020960.088657, norm of subgrad 1011.240866 dualbound = 1323138.088657, lowerbound=1020960.088657, norm of subgrad 46.706757 stepsize= 1.000000
+dualbound = 1323718.579581, lowerbound=1022425.579581, norm of subgrad 1011.955325 dualbound = 1323718.579581, lowerbound=1022425.579581, norm of subgrad 46.994584 stepsize= 1.000000
+dualbound = 1324228.574959, lowerbound=1022221.574959, norm of subgrad 1011.857982 dualbound = 1324228.574959, lowerbound=1022221.574959, norm of subgrad 46.314095 stepsize= 1.000000
+dualbound = 1324809.788556, lowerbound=1022467.788556, norm of subgrad 1011.955922 dualbound = 1324809.788556, lowerbound=1022467.788556, norm of subgrad 46.564081 stepsize= 1.000000
+dualbound = 1325342.581077, lowerbound=1022485.581077, norm of subgrad 1011.993864 dualbound = 1325342.581077, lowerbound=1022485.581077, norm of subgrad 46.677538 stepsize= 1.000000
+dualbound = 1325861.039179, lowerbound=1023468.039179, norm of subgrad 1012.478661 dualbound = 1325861.039179, lowerbound=1023468.039179, norm of subgrad 46.512989 stepsize= 1.000000
+dualbound = 1326425.889363, lowerbound=1021793.889363, norm of subgrad 1011.615485 dualbound = 1326425.889363, lowerbound=1021793.889363, norm of subgrad 46.226077 stepsize= 1.000000
+dualbound = 1326992.470004, lowerbound=1021242.470004, norm of subgrad 1011.343399 dualbound = 1326992.470004, lowerbound=1021242.470004, norm of subgrad 46.255601 stepsize= 1.000000
+dualbound = 1327515.484301, lowerbound=1024029.484301, norm of subgrad 1012.721820 dualbound = 1327515.484301, lowerbound=1024029.484301, norm of subgrad 45.815001 stepsize= 1.000000
+dualbound = 1328066.030342, lowerbound=1021379.030342, norm of subgrad 1011.469738 dualbound = 1328066.030342, lowerbound=1021379.030342, norm of subgrad 47.355528 stepsize= 1.000000
+dualbound = 1328581.905239, lowerbound=1023333.905239, norm of subgrad 1012.392664 dualbound = 1328581.905239, lowerbound=1023333.905239, norm of subgrad 46.052958 stepsize= 1.000000
+dualbound = 1329151.084781, lowerbound=1022692.084781, norm of subgrad 1012.099345 dualbound = 1329151.084781, lowerbound=1022692.084781, norm of subgrad 47.139999 stepsize= 1.000000
+dualbound = 1329672.781120, lowerbound=1023547.781120, norm of subgrad 1012.531867 dualbound = 1329672.781120, lowerbound=1023547.781120, norm of subgrad 46.847586 stepsize= 1.000000
+dualbound = 1330208.723154, lowerbound=1022275.723154, norm of subgrad 1011.882762 dualbound = 1330208.723154, lowerbound=1022275.723154, norm of subgrad 46.550425 stepsize= 1.000000
+dualbound = 1330742.706094, lowerbound=1024528.706094, norm of subgrad 1013.011207 dualbound = 1330742.706094, lowerbound=1024528.706094, norm of subgrad 46.871985 stepsize= 1.000000
+dualbound = 1331300.279076, lowerbound=1020663.279076, norm of subgrad 1011.069869 dualbound = 1331300.279076, lowerbound=1020663.279076, norm of subgrad 46.438917 stepsize= 1.000000
+dualbound = 1331849.971490, lowerbound=1025242.971490, norm of subgrad 1013.350863 dualbound = 1331849.971490, lowerbound=1025242.971490, norm of subgrad 46.762083 stepsize= 1.000000
+dualbound = 1332371.602410, lowerbound=1022772.602410, norm of subgrad 1012.139616 dualbound = 1332371.602410, lowerbound=1022772.602410, norm of subgrad 46.643659 stepsize= 1.000000
+dualbound = 1332898.213670, lowerbound=1024204.213670, norm of subgrad 1012.826843 dualbound = 1332898.213670, lowerbound=1024204.213670, norm of subgrad 46.266740 stepsize= 1.000000
+dualbound = 1333464.696884, lowerbound=1023045.696884, norm of subgrad 1012.220182 dualbound = 1333464.696884, lowerbound=1023045.696884, norm of subgrad 45.939996 stepsize= 1.000000
+dualbound = 1334011.386206, lowerbound=1025985.386206, norm of subgrad 1013.699850 dualbound = 1334011.386206, lowerbound=1025985.386206, norm of subgrad 46.353957 stepsize= 1.000000
+dualbound = 1334526.765852, lowerbound=1023203.765852, norm of subgrad 1012.327401 dualbound = 1334526.765852, lowerbound=1023203.765852, norm of subgrad 46.025858 stepsize= 1.000000
+dualbound = 1335057.254246, lowerbound=1024723.254246, norm of subgrad 1013.104760 dualbound = 1335057.254246, lowerbound=1024723.254246, norm of subgrad 46.781283 stepsize= 1.000000
+dualbound = 1335585.351832, lowerbound=1024206.351832, norm of subgrad 1012.832835 dualbound = 1335585.351832, lowerbound=1024206.351832, norm of subgrad 46.390706 stepsize= 1.000000
+dualbound = 1336114.624219, lowerbound=1024138.624219, norm of subgrad 1012.791501 dualbound = 1336114.624219, lowerbound=1024138.624219, norm of subgrad 46.230643 stepsize= 1.000000
+dualbound = 1336658.298763, lowerbound=1023664.298763, norm of subgrad 1012.567676 dualbound = 1336658.298763, lowerbound=1023664.298763, norm of subgrad 46.611957 stepsize= 1.000000
+dualbound = 1337147.729503, lowerbound=1024447.729503, norm of subgrad 1012.956430 dualbound = 1337147.729503, lowerbound=1024447.729503, norm of subgrad 46.069846 stepsize= 1.000000
+dualbound = 1337725.080008, lowerbound=1022691.080008, norm of subgrad 1012.072665 dualbound = 1337725.080008, lowerbound=1022691.080008, norm of subgrad 46.662089 stepsize= 1.000000
+dualbound = 1338231.977771, lowerbound=1027347.977771, norm of subgrad 1014.391925 dualbound = 1338231.977771, lowerbound=1027347.977771, norm of subgrad 46.366990 stepsize= 1.000000
+dualbound = 1338754.780856, lowerbound=1026064.780856, norm of subgrad 1013.732105 dualbound = 1338754.780856, lowerbound=1026064.780856, norm of subgrad 45.943477 stepsize= 1.000000
+dualbound = 1339285.377581, lowerbound=1024547.377581, norm of subgrad 1012.956750 dualbound = 1339285.377581, lowerbound=1024547.377581, norm of subgrad 45.437834 stepsize= 1.000000
+dualbound = 1339829.527605, lowerbound=1026537.527605, norm of subgrad 1013.953908 dualbound = 1339829.527605, lowerbound=1026537.527605, norm of subgrad 45.925483 stepsize= 1.000000
+dualbound = 1340334.749040, lowerbound=1024185.749040, norm of subgrad 1012.823158 dualbound = 1340334.749040, lowerbound=1024185.749040, norm of subgrad 46.154322 stepsize= 1.000000
+dualbound = 1340847.968786, lowerbound=1025824.968786, norm of subgrad 1013.626642 dualbound = 1340847.968786, lowerbound=1025824.968786, norm of subgrad 46.121793 stepsize= 1.000000
+dualbound = 1341363.569530, lowerbound=1024271.569530, norm of subgrad 1012.858119 dualbound = 1341363.569530, lowerbound=1024271.569530, norm of subgrad 46.104238 stepsize= 1.000000
+dualbound = 1341905.808315, lowerbound=1026331.808315, norm of subgrad 1013.866267 dualbound = 1341905.808315, lowerbound=1026331.808315, norm of subgrad 46.208644 stepsize= 1.000000
+dualbound = 1342433.211406, lowerbound=1024401.211406, norm of subgrad 1012.917179 dualbound = 1342433.211406, lowerbound=1024401.211406, norm of subgrad 46.123780 stepsize= 1.000000
+dualbound = 1342951.961012, lowerbound=1026664.961012, norm of subgrad 1014.030552 dualbound = 1342951.961012, lowerbound=1026664.961012, norm of subgrad 45.953777 stepsize= 1.000000
+dualbound = 1343439.166937, lowerbound=1026954.166937, norm of subgrad 1014.220473 dualbound = 1343439.166937, lowerbound=1026954.166937, norm of subgrad 46.649822 stepsize= 1.000000
+dualbound = 1343981.994507, lowerbound=1024280.994507, norm of subgrad 1012.876100 dualbound = 1343981.994507, lowerbound=1024280.994507, norm of subgrad 46.688624 stepsize= 1.000000
+dualbound = 1344499.744467, lowerbound=1024729.744467, norm of subgrad 1013.069467 dualbound = 1344499.744467, lowerbound=1024729.744467, norm of subgrad 45.801200 stepsize= 1.000000
+dualbound = 1345029.809384, lowerbound=1026614.809384, norm of subgrad 1014.003851 dualbound = 1345029.809384, lowerbound=1026614.809384, norm of subgrad 46.033302 stepsize= 1.000000
+dualbound = 1345562.132215, lowerbound=1025508.132215, norm of subgrad 1013.487608 dualbound = 1345562.132215, lowerbound=1025508.132215, norm of subgrad 46.704634 stepsize= 1.000000
+dualbound = 1346048.913352, lowerbound=1026754.913352, norm of subgrad 1014.094627 dualbound = 1346048.913352, lowerbound=1026754.913352, norm of subgrad 46.041081 stepsize= 1.000000
+dualbound = 1346582.419169, lowerbound=1024491.419169, norm of subgrad 1012.978983 dualbound = 1346582.419169, lowerbound=1024491.419169, norm of subgrad 46.567218 stepsize= 1.000000
+dualbound = 1347090.658716, lowerbound=1026670.658716, norm of subgrad 1014.078231 dualbound = 1347090.658716, lowerbound=1026670.658716, norm of subgrad 46.821358 stepsize= 1.000000
+dualbound = 1347612.141066, lowerbound=1027283.141066, norm of subgrad 1014.322996 dualbound = 1347612.141066, lowerbound=1027283.141066, norm of subgrad 45.710856 stepsize= 1.000000
+dualbound = 1348151.675897, lowerbound=1026272.675897, norm of subgrad 1013.847462 dualbound = 1348151.675897, lowerbound=1026272.675897, norm of subgrad 46.406194 stepsize= 1.000000
+dualbound = 1348666.297764, lowerbound=1025390.297764, norm of subgrad 1013.382108 dualbound = 1348666.297764, lowerbound=1025390.297764, norm of subgrad 45.471110 stepsize= 1.000000
+dualbound = 1349196.265043, lowerbound=1027493.265043, norm of subgrad 1014.443821 dualbound = 1349196.265043, lowerbound=1027493.265043, norm of subgrad 46.184059 stepsize= 1.000000
+dualbound = 1349666.100251, lowerbound=1027279.100251, norm of subgrad 1014.380156 dualbound = 1349666.100251, lowerbound=1027279.100251, norm of subgrad 46.452505 stepsize= 1.000000
+dualbound = 1350208.146505, lowerbound=1026636.146505, norm of subgrad 1014.007469 dualbound = 1350208.146505, lowerbound=1026636.146505, norm of subgrad 46.011371 stepsize= 1.000000
+dualbound = 1350747.041464, lowerbound=1026424.041464, norm of subgrad 1013.934436 dualbound = 1350747.041464, lowerbound=1026424.041464, norm of subgrad 46.667922 stepsize= 1.000000
+dualbound = 1351201.541877, lowerbound=1027837.541877, norm of subgrad 1014.651931 dualbound = 1351201.541877, lowerbound=1027837.541877, norm of subgrad 46.211475 stepsize= 1.000000
+dualbound = 1351753.968799, lowerbound=1026517.968799, norm of subgrad 1013.978781 dualbound = 1351753.968799, lowerbound=1026517.968799, norm of subgrad 46.769936 stepsize= 1.000000
+dualbound = 1352257.995359, lowerbound=1027074.995359, norm of subgrad 1014.257362 dualbound = 1352257.995359, lowerbound=1027074.995359, norm of subgrad 46.336018 stepsize= 1.000000
+dualbound = 1352767.229513, lowerbound=1026396.229513, norm of subgrad 1013.938967 dualbound = 1352767.229513, lowerbound=1026396.229513, norm of subgrad 46.746488 stepsize= 1.000000
+dualbound = 1353276.026217, lowerbound=1026448.026216, norm of subgrad 1013.925553 dualbound = 1353276.026217, lowerbound=1026448.026216, norm of subgrad 45.888961 stepsize= 1.000000
+dualbound = 1353820.142737, lowerbound=1028115.142737, norm of subgrad 1014.745359 dualbound = 1353820.142737, lowerbound=1028115.142737, norm of subgrad 46.228958 stepsize= 1.000000
+dualbound = 1354304.064128, lowerbound=1026828.064128, norm of subgrad 1014.125270 dualbound = 1354304.064128, lowerbound=1026828.064128, norm of subgrad 45.890319 stepsize= 1.000000
+dualbound = 1354829.060054, lowerbound=1028799.060054, norm of subgrad 1015.075889 dualbound = 1354829.060054, lowerbound=1028799.060054, norm of subgrad 45.880235 stepsize= 1.000000
+dualbound = 1355349.483359, lowerbound=1026233.483359, norm of subgrad 1013.853285 dualbound = 1355349.483359, lowerbound=1026233.483359, norm of subgrad 46.748511 stepsize= 1.000000
+dualbound = 1355838.037926, lowerbound=1027626.037926, norm of subgrad 1014.520102 dualbound = 1355838.037926, lowerbound=1027626.037926, norm of subgrad 45.973412 stepsize= 1.000000
+dualbound = 1356380.712674, lowerbound=1028400.712674, norm of subgrad 1014.890000 dualbound = 1356380.712674, lowerbound=1028400.712674, norm of subgrad 46.299835 stepsize= 1.000000
+dualbound = 1356890.362862, lowerbound=1026611.362862, norm of subgrad 1014.024340 dualbound = 1356890.362862, lowerbound=1026611.362862, norm of subgrad 46.299570 stepsize= 1.000000
+dualbound = 1357363.874229, lowerbound=1026809.874229, norm of subgrad 1014.111865 dualbound = 1357363.874229, lowerbound=1026809.874229, norm of subgrad 45.678347 stepsize= 1.000000
+dualbound = 1357933.873927, lowerbound=1028033.873927, norm of subgrad 1014.715169 dualbound = 1357933.873927, lowerbound=1028033.873927, norm of subgrad 46.722582 stepsize= 1.000000
+dualbound = 1358401.368984, lowerbound=1026675.368984, norm of subgrad 1014.062310 dualbound = 1358401.368984, lowerbound=1026675.368984, norm of subgrad 45.983639 stepsize= 1.000000
+dualbound = 1358931.962781, lowerbound=1028875.962781, norm of subgrad 1015.131008 dualbound = 1358931.962781, lowerbound=1028875.962781, norm of subgrad 46.320555 stepsize= 1.000000
+dualbound = 1359430.685539, lowerbound=1028434.685539, norm of subgrad 1014.931863 dualbound = 1359430.685539, lowerbound=1028434.685539, norm of subgrad 46.375886 stepsize= 1.000000
+dualbound = 1359944.356102, lowerbound=1029405.356102, norm of subgrad 1015.402066 dualbound = 1359944.356102, lowerbound=1029405.356102, norm of subgrad 46.364540 stepsize= 1.000000
+dualbound = 1360444.325572, lowerbound=1028218.325572, norm of subgrad 1014.847932 dualbound = 1360444.325572, lowerbound=1028218.325572, norm of subgrad 46.882507 stepsize= 1.000000
+dualbound = 1360929.038228, lowerbound=1029261.038228, norm of subgrad 1015.376796 dualbound = 1360929.038228, lowerbound=1029261.038228, norm of subgrad 47.050108 stepsize= 1.000000
+dualbound = 1361419.560825, lowerbound=1027946.560825, norm of subgrad 1014.682985 dualbound = 1361419.560825, lowerbound=1027946.560825, norm of subgrad 46.103390 stepsize= 1.000000
+dualbound = 1361958.695246, lowerbound=1028408.695246, norm of subgrad 1014.862402 dualbound = 1361958.695246, lowerbound=1028408.695246, norm of subgrad 45.564618 stepsize= 1.000000
+dualbound = 1362484.862441, lowerbound=1028967.862441, norm of subgrad 1015.171346 dualbound = 1362484.862441, lowerbound=1028967.862441, norm of subgrad 46.164566 stepsize= 1.000000
+dualbound = 1362959.939857, lowerbound=1029236.939857, norm of subgrad 1015.317655 dualbound = 1362959.939857, lowerbound=1029236.939857, norm of subgrad 45.913804 stepsize= 1.000000
+dualbound = 1363479.472394, lowerbound=1028783.472394, norm of subgrad 1015.081018 dualbound = 1363479.472394, lowerbound=1028783.472394, norm of subgrad 46.103498 stepsize= 1.000000
+dualbound = 1363977.851628, lowerbound=1029166.851628, norm of subgrad 1015.271319 dualbound = 1363977.851628, lowerbound=1029166.851628, norm of subgrad 45.906200 stepsize= 1.000000
+dualbound = 1364502.588431, lowerbound=1027167.588431, norm of subgrad 1014.269485 dualbound = 1364502.588431, lowerbound=1027167.588431, norm of subgrad 45.822885 stepsize= 1.000000
+dualbound = 1365004.704094, lowerbound=1029619.704094, norm of subgrad 1015.501701 dualbound = 1365004.704094, lowerbound=1029619.704094, norm of subgrad 46.109822 stepsize= 1.000000
+dualbound = 1365469.512057, lowerbound=1028946.512057, norm of subgrad 1015.155905 dualbound = 1365469.512057, lowerbound=1028946.512057, norm of subgrad 45.385107 stepsize= 1.000000
+dualbound = 1365989.810718, lowerbound=1029747.810718, norm of subgrad 1015.560343 dualbound = 1365989.810718, lowerbound=1029747.810718, norm of subgrad 46.209292 stepsize= 1.000000
+dualbound = 1366475.215779, lowerbound=1029614.215779, norm of subgrad 1015.502937 dualbound = 1366475.215779, lowerbound=1029614.215779, norm of subgrad 46.015270 stepsize= 1.000000
+dualbound = 1366974.695408, lowerbound=1027610.695408, norm of subgrad 1014.526340 dualbound = 1366974.695408, lowerbound=1027610.695408, norm of subgrad 46.394823 stepsize= 1.000000
+dualbound = 1367459.694548, lowerbound=1028872.694548, norm of subgrad 1015.137279 dualbound = 1367459.694548, lowerbound=1028872.694548, norm of subgrad 45.999991 stepsize= 1.000000
+dualbound = 1367994.145896, lowerbound=1031005.145896, norm of subgrad 1016.204284 dualbound = 1367994.145896, lowerbound=1031005.145896, norm of subgrad 46.908969 stepsize= 1.000000
+dualbound = 1368484.892971, lowerbound=1029177.892971, norm of subgrad 1015.291039 dualbound = 1368484.892971, lowerbound=1029177.892971, norm of subgrad 46.138347 stepsize= 1.000000
+dualbound = 1368978.400965, lowerbound=1031325.400965, norm of subgrad 1016.355450 dualbound = 1368978.400965, lowerbound=1031325.400965, norm of subgrad 46.330422 stepsize= 1.000000
+dualbound = 1369471.509003, lowerbound=1025842.509003, norm of subgrad 1013.638747 dualbound = 1369471.509003, lowerbound=1025842.509003, norm of subgrad 45.979431 stepsize= 1.000000
+dualbound = 1370001.798440, lowerbound=1030611.798440, norm of subgrad 1016.001377 dualbound = 1370001.798440, lowerbound=1030611.798440, norm of subgrad 46.661434 stepsize= 1.000000
+dualbound = 1370474.377712, lowerbound=1029324.377712, norm of subgrad 1015.369577 dualbound = 1370474.377712, lowerbound=1029324.377712, norm of subgrad 46.082310 stepsize= 1.000000
+dualbound = 1370989.110206, lowerbound=1030445.110206, norm of subgrad 1015.883414 dualbound = 1370989.110206, lowerbound=1030445.110206, norm of subgrad 45.702653 stepsize= 1.000000
+dualbound = 1371505.392796, lowerbound=1030251.392796, norm of subgrad 1015.814153 dualbound = 1371505.392796, lowerbound=1030251.392796, norm of subgrad 46.295600 stepsize= 1.000000
+dualbound = 1371963.029348, lowerbound=1028978.029348, norm of subgrad 1015.212800 dualbound = 1371963.029348, lowerbound=1028978.029348, norm of subgrad 46.223766 stepsize= 1.000000
+dualbound = 1372480.773382, lowerbound=1032483.773382, norm of subgrad 1016.928598 dualbound = 1372480.773382, lowerbound=1032483.773382, norm of subgrad 46.666305 stepsize= 1.000000
+dualbound = 1372970.476878, lowerbound=1027567.476878, norm of subgrad 1014.471526 dualbound = 1372970.476878, lowerbound=1027567.476878, norm of subgrad 45.548913 stepsize= 1.000000
+dualbound = 1373483.045078, lowerbound=1031236.045078, norm of subgrad 1016.289843 dualbound = 1373483.045078, lowerbound=1031236.045078, norm of subgrad 46.060484 stepsize= 1.000000
+dualbound = 1373982.883802, lowerbound=1028274.883802, norm of subgrad 1014.867914 dualbound = 1373982.883802, lowerbound=1028274.883802, norm of subgrad 46.710157 stepsize= 1.000000
+dualbound = 1374473.875212, lowerbound=1031801.875212, norm of subgrad 1016.566218 dualbound = 1374473.875212, lowerbound=1031801.875212, norm of subgrad 45.781999 stepsize= 1.000000
+dualbound = 1374976.661905, lowerbound=1031843.661905, norm of subgrad 1016.593656 dualbound = 1374976.661905, lowerbound=1031843.661905, norm of subgrad 46.062856 stepsize= 1.000000
+dualbound = 1375466.559044, lowerbound=1026944.559044, norm of subgrad 1014.163970 dualbound = 1375466.559044, lowerbound=1026944.559044, norm of subgrad 45.540061 stepsize= 1.000000
+dualbound = 1375996.036025, lowerbound=1031533.036025, norm of subgrad 1016.453657 dualbound = 1375996.036025, lowerbound=1031533.036025, norm of subgrad 46.631288 stepsize= 1.000000
+dualbound = 1376428.193249, lowerbound=1030913.193249, norm of subgrad 1016.181181 dualbound = 1376428.193249, lowerbound=1030913.193249, norm of subgrad 46.294246 stepsize= 1.000000
+dualbound = 1376962.882467, lowerbound=1030945.882467, norm of subgrad 1016.179060 dualbound = 1376962.882467, lowerbound=1030945.882467, norm of subgrad 46.996694 stepsize= 1.000000
+dualbound = 1377450.061584, lowerbound=1030305.061584, norm of subgrad 1015.830725 dualbound = 1377450.061584, lowerbound=1030305.061584, norm of subgrad 45.762202 stepsize= 1.000000
+dualbound = 1377969.035940, lowerbound=1029954.035940, norm of subgrad 1015.649071 dualbound = 1377969.035940, lowerbound=1029954.035940, norm of subgrad 45.912682 stepsize= 1.000000
+dualbound = 1378446.009613, lowerbound=1031677.009613, norm of subgrad 1016.523000 dualbound = 1378446.009613, lowerbound=1031677.009613, norm of subgrad 46.032311 stepsize= 1.000000
+dualbound = 1378942.846128, lowerbound=1030430.846128, norm of subgrad 1015.886729 dualbound = 1378942.846128, lowerbound=1030430.846128, norm of subgrad 45.736599 stepsize= 1.000000
+dualbound = 1379425.316899, lowerbound=1032353.316899, norm of subgrad 1016.846752 dualbound = 1379425.316899, lowerbound=1032353.316899, norm of subgrad 45.896305 stepsize= 1.000000
+dualbound = 1379922.503111, lowerbound=1030400.503111, norm of subgrad 1015.904771 dualbound = 1379922.503111, lowerbound=1030400.503111, norm of subgrad 46.467044 stepsize= 1.000000
+dualbound = 1380397.412294, lowerbound=1031502.412294, norm of subgrad 1016.445479 dualbound = 1380397.412294, lowerbound=1031502.412294, norm of subgrad 46.194255 stepsize= 1.000000
+dualbound = 1380905.792137, lowerbound=1029534.792137, norm of subgrad 1015.460384 dualbound = 1380905.792137, lowerbound=1029534.792137, norm of subgrad 46.188525 stepsize= 1.000000
+dualbound = 1381430.658117, lowerbound=1031837.658117, norm of subgrad 1016.589720 dualbound = 1381430.658117, lowerbound=1031837.658117, norm of subgrad 46.280298 stepsize= 1.000000
+dualbound = 1381897.934849, lowerbound=1030363.934849, norm of subgrad 1015.855765 dualbound = 1381897.934849, lowerbound=1030363.934849, norm of subgrad 45.456317 stepsize= 1.000000
+dualbound = 1382404.799297, lowerbound=1030186.799297, norm of subgrad 1015.771529 dualbound = 1382404.799297, lowerbound=1030186.799297, norm of subgrad 45.955026 stepsize= 1.000000
+dualbound = 1382883.871891, lowerbound=1031460.871891, norm of subgrad 1016.449149 dualbound = 1382883.871891, lowerbound=1031460.871891, norm of subgrad 46.766148 stepsize= 1.000000
+dualbound = 1383347.431508, lowerbound=1031008.431508, norm of subgrad 1016.206884 dualbound = 1383347.431508, lowerbound=1031008.431508, norm of subgrad 46.168817 stepsize= 1.000000
+dualbound = 1383870.612224, lowerbound=1030219.612224, norm of subgrad 1015.798510 dualbound = 1383870.612224, lowerbound=1030219.612224, norm of subgrad 46.370041 stepsize= 1.000000
+dualbound = 1384361.634396, lowerbound=1031353.634396, norm of subgrad 1016.330475 dualbound = 1384361.634396, lowerbound=1031353.634396, norm of subgrad 45.442515 stepsize= 1.000000
+dualbound = 1384862.905972, lowerbound=1033207.905972, norm of subgrad 1017.280643 dualbound = 1384862.905972, lowerbound=1033207.905972, norm of subgrad 46.403357 stepsize= 1.000000
+dualbound = 1385331.459924, lowerbound=1032296.459924, norm of subgrad 1016.807976 dualbound = 1385331.459924, lowerbound=1032296.459924, norm of subgrad 45.503340 stepsize= 1.000000
+dualbound = 1385822.396169, lowerbound=1029968.396169, norm of subgrad 1015.697985 dualbound = 1385822.396169, lowerbound=1029968.396169, norm of subgrad 46.528875 stepsize= 1.000000
+dualbound = 1386325.301197, lowerbound=1033053.301197, norm of subgrad 1017.196786 dualbound = 1386325.301197, lowerbound=1033053.301197, norm of subgrad 46.248298 stepsize= 1.000000
+dualbound = 1386793.128193, lowerbound=1031353.128193, norm of subgrad 1016.345477 dualbound = 1386793.128193, lowerbound=1031353.128193, norm of subgrad 45.528310 stepsize= 1.000000
+dualbound = 1387298.771686, lowerbound=1031231.771686, norm of subgrad 1016.269045 dualbound = 1387298.771686, lowerbound=1031231.771686, norm of subgrad 45.570204 stepsize= 1.000000
+dualbound = 1387811.946010, lowerbound=1031120.946010, norm of subgrad 1016.232230 dualbound = 1387811.946010, lowerbound=1031120.946010, norm of subgrad 46.045351 stepsize= 1.000000
+dualbound = 1388276.156910, lowerbound=1032208.156910, norm of subgrad 1016.762586 dualbound = 1388276.156910, lowerbound=1032208.156910, norm of subgrad 45.411572 stepsize= 1.000000
+dualbound = 1388768.785809, lowerbound=1031019.785809, norm of subgrad 1016.209519 dualbound = 1388768.785809, lowerbound=1031019.785809, norm of subgrad 46.417980 stepsize= 1.000000
+dualbound = 1389246.833571, lowerbound=1031963.833571, norm of subgrad 1016.636530 dualbound = 1389246.833571, lowerbound=1031963.833571, norm of subgrad 45.431792 stepsize= 1.000000
+dualbound = 1389740.949878, lowerbound=1033135.949878, norm of subgrad 1017.223648 dualbound = 1389740.949878, lowerbound=1033135.949878, norm of subgrad 45.848842 stepsize= 1.000000
+dualbound = 1390241.022131, lowerbound=1031565.022131, norm of subgrad 1016.451682 dualbound = 1390241.022131, lowerbound=1031565.022131, norm of subgrad 45.924637 stepsize= 1.000000
+dualbound = 1390712.049841, lowerbound=1032286.049841, norm of subgrad 1016.794989 dualbound = 1390712.049841, lowerbound=1032286.049841, norm of subgrad 45.354467 stepsize= 1.000000
+dualbound = 1391210.729737, lowerbound=1032325.729737, norm of subgrad 1016.827286 dualbound = 1391210.729737, lowerbound=1032325.729737, norm of subgrad 45.942136 stepsize= 1.000000
+dualbound = 1391686.828051, lowerbound=1030108.828051, norm of subgrad 1015.728718 dualbound = 1391686.828051, lowerbound=1030108.828051, norm of subgrad 45.520307 stepsize= 1.000000
+dualbound = 1392203.883563, lowerbound=1033256.883563, norm of subgrad 1017.267361 dualbound = 1392203.883563, lowerbound=1033256.883563, norm of subgrad 45.749924 stepsize= 1.000000
+dualbound = 1392639.561509, lowerbound=1031662.561509, norm of subgrad 1016.521304 dualbound = 1392639.561509, lowerbound=1031662.561509, norm of subgrad 45.702056 stepsize= 1.000000
+dualbound = 1393100.953979, lowerbound=1032100.953979, norm of subgrad 1016.736423 dualbound = 1393100.953979, lowerbound=1032100.953979, norm of subgrad 45.971649 stepsize= 1.000000
+dualbound = 1393622.642679, lowerbound=1032600.642679, norm of subgrad 1016.974750 dualbound = 1393622.642679, lowerbound=1032600.642679, norm of subgrad 46.461691 stepsize= 1.000000
+dualbound = 1394115.495491, lowerbound=1032178.495491, norm of subgrad 1016.744558 dualbound = 1394115.495491, lowerbound=1032178.495491, norm of subgrad 45.649237 stepsize= 1.000000
+dualbound = 1394613.698988, lowerbound=1033538.698988, norm of subgrad 1017.417171 dualbound = 1394613.698988, lowerbound=1033538.698988, norm of subgrad 45.795234 stepsize= 1.000000
+dualbound = 1395101.454137, lowerbound=1033316.454137, norm of subgrad 1017.289759 dualbound = 1395101.454137, lowerbound=1033316.454137, norm of subgrad 45.274222 stepsize= 1.000000
+dualbound = 1395594.480702, lowerbound=1031079.480702, norm of subgrad 1016.209861 dualbound = 1395594.480702, lowerbound=1031079.480702, norm of subgrad 45.782383 stepsize= 1.000000
+dualbound = 1396041.205332, lowerbound=1032745.205332, norm of subgrad 1017.057130 dualbound = 1396041.205332, lowerbound=1032745.205332, norm of subgrad 45.899070 stepsize= 1.000000
+dualbound = 1396548.915331, lowerbound=1032228.915331, norm of subgrad 1016.778695 dualbound = 1396548.915331, lowerbound=1032228.915331, norm of subgrad 46.018583 stepsize= 1.000000
+dualbound = 1397026.212822, lowerbound=1032975.212822, norm of subgrad 1017.138247 dualbound = 1397026.212822, lowerbound=1032975.212822, norm of subgrad 45.522494 stepsize= 1.000000
+dualbound = 1397529.065304, lowerbound=1033338.065304, norm of subgrad 1017.311194 dualbound = 1397529.065304, lowerbound=1033338.065304, norm of subgrad 45.682081 stepsize= 1.000000
+dualbound = 1398007.176793, lowerbound=1033132.176793, norm of subgrad 1017.219336 dualbound = 1398007.176793, lowerbound=1033132.176793, norm of subgrad 45.619201 stepsize= 1.000000
+dualbound = 1398491.453364, lowerbound=1032583.453364, norm of subgrad 1016.966299 dualbound = 1398491.453364, lowerbound=1032583.453364, norm of subgrad 46.057318 stepsize= 1.000000
+dualbound = 1398951.413413, lowerbound=1033247.413413, norm of subgrad 1017.270079 dualbound = 1398951.413413, lowerbound=1033247.413413, norm of subgrad 45.287526 stepsize= 1.000000
+dualbound = 1399470.835891, lowerbound=1031687.835891, norm of subgrad 1016.494386 dualbound = 1399470.835891, lowerbound=1031687.835891, norm of subgrad 45.743005 stepsize= 1.000000
+dualbound = 1399924.355604, lowerbound=1034796.355604, norm of subgrad 1018.031117 dualbound = 1399924.355604, lowerbound=1034796.355604, norm of subgrad 45.216366 stepsize= 1.000000
+dualbound = 1400394.042156, lowerbound=1033734.042156, norm of subgrad 1017.553950 dualbound = 1400394.042156, lowerbound=1033734.042156, norm of subgrad 46.386275 stepsize= 1.000000
+dualbound = 1400863.798612, lowerbound=1034098.798612, norm of subgrad 1017.691898 dualbound = 1400863.798612, lowerbound=1034098.798612, norm of subgrad 45.472590 stepsize= 1.000000
+dualbound = 1401371.439430, lowerbound=1032711.439430, norm of subgrad 1017.003658 dualbound = 1401371.439430, lowerbound=1032711.439430, norm of subgrad 45.745391 stepsize= 1.000000
+dualbound = 1401836.808783, lowerbound=1031805.808783, norm of subgrad 1016.564710 dualbound = 1401836.808783, lowerbound=1031805.808783, norm of subgrad 45.424326 stepsize= 1.000000
+dualbound = 1402333.015443, lowerbound=1033340.015443, norm of subgrad 1017.348031 dualbound = 1402333.015443, lowerbound=1033340.015443, norm of subgrad 46.402658 stepsize= 1.000000
+dualbound = 1402791.611030, lowerbound=1033612.611030, norm of subgrad 1017.495755 dualbound = 1402791.611030, lowerbound=1033612.611030, norm of subgrad 46.298980 stepsize= 1.000000
+dualbound = 1403294.463274, lowerbound=1034529.463274, norm of subgrad 1017.924095 dualbound = 1403294.463274, lowerbound=1034529.463274, norm of subgrad 46.290952 stepsize= 1.000000
+dualbound = 1403758.392071, lowerbound=1035172.392071, norm of subgrad 1018.176503 dualbound = 1403758.392071, lowerbound=1035172.392071, norm of subgrad 44.440171 stepsize= 1.000000
+dualbound = 1404275.738910, lowerbound=1033892.738910, norm of subgrad 1017.572474 dualbound = 1404275.738910, lowerbound=1033892.738910, norm of subgrad 45.588889 stepsize= 1.000000
+dualbound = 1404720.857176, lowerbound=1034296.857176, norm of subgrad 1017.820150 dualbound = 1404720.857176, lowerbound=1034296.857176, norm of subgrad 45.892464 stepsize= 1.000000
+dualbound = 1405202.876250, lowerbound=1033273.876250, norm of subgrad 1017.303237 dualbound = 1405202.876250, lowerbound=1033273.876250, norm of subgrad 45.978463 stepsize= 1.000000
+dualbound = 1405681.221219, lowerbound=1035194.221219, norm of subgrad 1018.228472 dualbound = 1405681.221219, lowerbound=1035194.221219, norm of subgrad 45.533998 stepsize= 1.000000
+dualbound = 1406151.269893, lowerbound=1035081.269893, norm of subgrad 1018.170550 dualbound = 1406151.269893, lowerbound=1035081.269893, norm of subgrad 45.387759 stepsize= 1.000000
+dualbound = 1406632.386828, lowerbound=1033050.386827, norm of subgrad 1017.168318 dualbound = 1406632.386828, lowerbound=1033050.386827, norm of subgrad 45.410538 stepsize= 1.000000
+dualbound = 1407099.366064, lowerbound=1032237.366064, norm of subgrad 1016.808422 dualbound = 1407099.366064, lowerbound=1032237.366064, norm of subgrad 46.140863 stepsize= 1.000000
+dualbound = 1407579.047628, lowerbound=1036566.047628, norm of subgrad 1018.936233 dualbound = 1407579.047628, lowerbound=1036566.047628, norm of subgrad 46.310707 stepsize= 1.000000
+dualbound = 1408054.685100, lowerbound=1033306.685100, norm of subgrad 1017.293313 dualbound = 1408054.685100, lowerbound=1033306.685100, norm of subgrad 45.328109 stepsize= 1.000000
+dualbound = 1408547.033198, lowerbound=1034519.033198, norm of subgrad 1017.872307 dualbound = 1408547.033198, lowerbound=1034519.033198, norm of subgrad 45.136993 stepsize= 1.000000
+dualbound = 1409028.041530, lowerbound=1033795.041530, norm of subgrad 1017.519553 dualbound = 1409028.041530, lowerbound=1033795.041530, norm of subgrad 45.077803 stepsize= 1.000000
+dualbound = 1409518.631160, lowerbound=1036882.631160, norm of subgrad 1019.057227 dualbound = 1409518.631160, lowerbound=1036882.631160, norm of subgrad 45.668256 stepsize= 1.000000
+dualbound = 1409937.210492, lowerbound=1030555.210492, norm of subgrad 1015.982387 dualbound = 1409937.210492, lowerbound=1030555.210492, norm of subgrad 45.646241 stepsize= 1.000000
+dualbound = 1410419.227851, lowerbound=1036716.227851, norm of subgrad 1019.009435 dualbound = 1410419.227851, lowerbound=1036716.227851, norm of subgrad 46.325127 stepsize= 1.000000
+dualbound = 1410883.745236, lowerbound=1034142.745236, norm of subgrad 1017.728719 dualbound = 1410883.745236, lowerbound=1034142.745236, norm of subgrad 45.754971 stepsize= 1.000000
+dualbound = 1411391.676438, lowerbound=1033375.676438, norm of subgrad 1017.336560 dualbound = 1411391.676438, lowerbound=1033375.676438, norm of subgrad 45.890426 stepsize= 1.000000
+dualbound = 1411835.865578, lowerbound=1034116.865578, norm of subgrad 1017.699791 dualbound = 1411835.865578, lowerbound=1034116.865578, norm of subgrad 45.168453 stepsize= 1.000000
+dualbound = 1412332.485863, lowerbound=1036000.485863, norm of subgrad 1018.622347 dualbound = 1412332.485863, lowerbound=1036000.485863, norm of subgrad 45.690484 stepsize= 1.000000
+dualbound = 1412785.508956, lowerbound=1035603.508956, norm of subgrad 1018.451034 dualbound = 1412785.508956, lowerbound=1035603.508956, norm of subgrad 45.738639 stepsize= 1.000000
+dualbound = 1413248.802409, lowerbound=1034026.802409, norm of subgrad 1017.655542 dualbound = 1413248.802409, lowerbound=1034026.802409, norm of subgrad 45.379439 stepsize= 1.000000
+dualbound = 1413778.579764, lowerbound=1033259.579764, norm of subgrad 1017.269669 dualbound = 1413778.579764, lowerbound=1033259.579764, norm of subgrad 45.910536 stepsize= 1.000000
+dualbound = 1414189.512707, lowerbound=1035715.512707, norm of subgrad 1018.488838 dualbound = 1414189.512707, lowerbound=1035715.512707, norm of subgrad 44.888004 stepsize= 1.000000
+dualbound = 1414695.611761, lowerbound=1033845.611761, norm of subgrad 1017.577816 dualbound = 1414695.611761, lowerbound=1033845.611761, norm of subgrad 46.098797 stepsize= 1.000000
+dualbound = 1415130.963031, lowerbound=1037723.963031, norm of subgrad 1019.499369 dualbound = 1415130.963031, lowerbound=1037723.963031, norm of subgrad 45.720359 stepsize= 1.000000
+dualbound = 1415612.150018, lowerbound=1033609.150018, norm of subgrad 1017.437541 dualbound = 1415612.150018, lowerbound=1033609.150018, norm of subgrad 45.290032 stepsize= 1.000000
+dualbound = 1416108.995885, lowerbound=1037190.995885, norm of subgrad 1019.251684 dualbound = 1416108.995885, lowerbound=1037190.995885, norm of subgrad 46.688820 stepsize= 1.000000
+dualbound = 1416519.937170, lowerbound=1034627.937170, norm of subgrad 1017.964114 dualbound = 1416519.937170, lowerbound=1034627.937170, norm of subgrad 45.099238 stepsize= 1.000000
+dualbound = 1417036.512897, lowerbound=1035295.512897, norm of subgrad 1018.261515 dualbound = 1417036.512897, lowerbound=1035295.512897, norm of subgrad 45.580431 stepsize= 1.000000
+dualbound = 1417522.391283, lowerbound=1034775.391283, norm of subgrad 1018.009033 dualbound = 1417522.391283, lowerbound=1034775.391283, norm of subgrad 45.308701 stepsize= 1.000000
+dualbound = 1417968.809331, lowerbound=1038643.809331, norm of subgrad 1019.941572 dualbound = 1417968.809331, lowerbound=1038643.809331, norm of subgrad 45.644474 stepsize= 1.000000
+dualbound = 1418420.956452, lowerbound=1036613.956452, norm of subgrad 1018.942568 dualbound = 1418420.956452, lowerbound=1036613.956452, norm of subgrad 45.630550 stepsize= 1.000000
+dualbound = 1418903.852838, lowerbound=1034648.852838, norm of subgrad 1017.952775 dualbound = 1418903.852838, lowerbound=1034648.852838, norm of subgrad 45.408109 stepsize= 1.000000
+dualbound = 1419345.147861, lowerbound=1035147.147861, norm of subgrad 1018.231382 dualbound = 1419345.147861, lowerbound=1035147.147861, norm of subgrad 45.708807 stepsize= 1.000000
+dualbound = 1419811.112924, lowerbound=1036419.112924, norm of subgrad 1018.824378 dualbound = 1419811.112924, lowerbound=1036419.112924, norm of subgrad 45.276540 stepsize= 1.000000
+dualbound = 1420284.931918, lowerbound=1034321.931918, norm of subgrad 1017.782851 dualbound = 1420284.931918, lowerbound=1034321.931918, norm of subgrad 45.097882 stepsize= 1.000000
+dualbound = 1420785.769532, lowerbound=1036687.769532, norm of subgrad 1018.945911 dualbound = 1420785.769532, lowerbound=1036687.769532, norm of subgrad 45.429480 stepsize= 1.000000
+dualbound = 1421247.127256, lowerbound=1035886.127256, norm of subgrad 1018.551976 dualbound = 1421247.127256, lowerbound=1035886.127256, norm of subgrad 44.981749 stepsize= 1.000000
+dualbound = 1421682.051643, lowerbound=1037005.051643, norm of subgrad 1019.181069 dualbound = 1421682.051643, lowerbound=1037005.051643, norm of subgrad 46.474987 stepsize= 1.000000
+dualbound = 1422124.215495, lowerbound=1034928.215495, norm of subgrad 1018.121415 dualbound = 1422124.215495, lowerbound=1034928.215495, norm of subgrad 45.663594 stepsize= 1.000000
+dualbound = 1422619.372115, lowerbound=1036540.372115, norm of subgrad 1018.880450 dualbound = 1422619.372115, lowerbound=1036540.372115, norm of subgrad 45.520947 stepsize= 1.000000
+dualbound = 1423109.145047, lowerbound=1036619.145047, norm of subgrad 1018.917143 dualbound = 1423109.145047, lowerbound=1036619.145047, norm of subgrad 45.417760 stepsize= 1.000000
+dualbound = 1423554.427192, lowerbound=1039818.427192, norm of subgrad 1020.502537 dualbound = 1423554.427192, lowerbound=1039818.427192, norm of subgrad 45.302121 stepsize= 1.000000
+dualbound = 1424017.879058, lowerbound=1034720.879058, norm of subgrad 1017.957209 dualbound = 1424017.879058, lowerbound=1034720.879058, norm of subgrad 44.491031 stepsize= 1.000000
+dualbound = 1424497.449514, lowerbound=1037871.449514, norm of subgrad 1019.544727 dualbound = 1424497.449514, lowerbound=1037871.449514, norm of subgrad 45.602308 stepsize= 1.000000
+dualbound = 1424953.431534, lowerbound=1037039.431534, norm of subgrad 1019.125817 dualbound = 1424953.431534, lowerbound=1037039.431534, norm of subgrad 45.099690 stepsize= 1.000000
+dualbound = 1425396.479164, lowerbound=1039339.479164, norm of subgrad 1020.273238 dualbound = 1425396.479164, lowerbound=1039339.479164, norm of subgrad 45.398762 stepsize= 1.000000
+dualbound = 1425849.771821, lowerbound=1034705.771821, norm of subgrad 1018.016587 dualbound = 1425849.771821, lowerbound=1034705.771821, norm of subgrad 45.883468 stepsize= 1.000000
+dualbound = 1426306.655866, lowerbound=1038659.655866, norm of subgrad 1019.978753 dualbound = 1426306.655866, lowerbound=1038659.655866, norm of subgrad 46.409956 stepsize= 1.000000
+dualbound = 1426764.329162, lowerbound=1037827.329162, norm of subgrad 1019.528484 dualbound = 1426764.329162, lowerbound=1037827.329162, norm of subgrad 45.482670 stepsize= 1.000000
+dualbound = 1427260.014994, lowerbound=1036757.014994, norm of subgrad 1019.024541 dualbound = 1427260.014994, lowerbound=1036757.014994, norm of subgrad 46.364705 stepsize= 1.000000
+dualbound = 1427688.746590, lowerbound=1037580.746590, norm of subgrad 1019.441880 dualbound = 1427688.746590, lowerbound=1037580.746590, norm of subgrad 45.931815 stepsize= 1.000000
+dualbound = 1428171.404497, lowerbound=1039159.404497, norm of subgrad 1020.186946 dualbound = 1428171.404497, lowerbound=1039159.404497, norm of subgrad 45.876551 stepsize= 1.000000
+dualbound = 1428654.007848, lowerbound=1036291.007848, norm of subgrad 1018.773777 dualbound = 1428654.007848, lowerbound=1036291.007848, norm of subgrad 45.734050 stepsize= 1.000000
+dualbound = 1429081.779545, lowerbound=1039633.779545, norm of subgrad 1020.434603 dualbound = 1429081.779545, lowerbound=1039633.779545, norm of subgrad 45.615477 stepsize= 1.000000
+dualbound = 1429552.656667, lowerbound=1036103.656667, norm of subgrad 1018.677896 dualbound = 1429552.656667, lowerbound=1036103.656667, norm of subgrad 45.517877 stepsize= 1.000000
+dualbound = 1430043.619475, lowerbound=1036401.619475, norm of subgrad 1018.806959 dualbound = 1430043.619475, lowerbound=1036401.619475, norm of subgrad 45.353752 stepsize= 1.000000
+dualbound = 1430490.852156, lowerbound=1039084.852156, norm of subgrad 1020.146486 dualbound = 1430490.852156, lowerbound=1039084.852156, norm of subgrad 45.400800 stepsize= 1.000000
+dualbound = 1430944.285953, lowerbound=1039191.285953, norm of subgrad 1020.203061 dualbound = 1430944.285953, lowerbound=1039191.285953, norm of subgrad 45.567903 stepsize= 1.000000
+dualbound = 1431389.391689, lowerbound=1036644.391689, norm of subgrad 1018.962409 dualbound = 1431389.391689, lowerbound=1036644.391689, norm of subgrad 45.662958 stepsize= 1.000000
+dualbound = 1431857.682229, lowerbound=1039590.682229, norm of subgrad 1020.378695 dualbound = 1431857.682229, lowerbound=1039590.682229, norm of subgrad 45.280134 stepsize= 1.000000
+dualbound = 1432308.156267, lowerbound=1038643.156267, norm of subgrad 1019.919681 dualbound = 1432308.156267, lowerbound=1038643.156267, norm of subgrad 45.204801 stepsize= 1.000000
+dualbound = 1432785.505727, lowerbound=1038992.505727, norm of subgrad 1020.115437 dualbound = 1432785.505727, lowerbound=1038992.505727, norm of subgrad 46.047252 stepsize= 1.000000
+dualbound = 1433206.697104, lowerbound=1036418.697104, norm of subgrad 1018.839878 dualbound = 1433206.697104, lowerbound=1036418.697104, norm of subgrad 45.135256 stepsize= 1.000000
+dualbound = 1433683.324639, lowerbound=1040017.324639, norm of subgrad 1020.565689 dualbound = 1433683.324639, lowerbound=1040017.324639, norm of subgrad 44.873461 stepsize= 1.000000
+dualbound = 1434153.471933, lowerbound=1037397.471933, norm of subgrad 1019.304406 dualbound = 1434153.471933, lowerbound=1037397.471933, norm of subgrad 45.322702 stepsize= 1.000000
+dualbound = 1434596.158775, lowerbound=1039714.158775, norm of subgrad 1020.473007 dualbound = 1434596.158775, lowerbound=1039714.158775, norm of subgrad 45.756823 stepsize= 1.000000
+dualbound = 1435029.178737, lowerbound=1039147.178737, norm of subgrad 1020.176543 dualbound = 1435029.178737, lowerbound=1039147.178737, norm of subgrad 45.232952 stepsize= 1.000000
+dualbound = 1435506.783653, lowerbound=1039722.783653, norm of subgrad 1020.465474 dualbound = 1435506.783653, lowerbound=1039722.783653, norm of subgrad 45.875973 stepsize= 1.000000
+dualbound = 1435962.717842, lowerbound=1035540.717842, norm of subgrad 1018.400077 dualbound = 1435962.717842, lowerbound=1035540.717842, norm of subgrad 45.320351 stepsize= 1.000000
+dualbound = 1436424.150446, lowerbound=1041122.150446, norm of subgrad 1021.111723 dualbound = 1436424.150446, lowerbound=1041122.150446, norm of subgrad 44.815540 stepsize= 1.000000
+dualbound = 1436868.358535, lowerbound=1036705.358535, norm of subgrad 1018.988890 dualbound = 1436868.358535, lowerbound=1036705.358535, norm of subgrad 45.576398 stepsize= 1.000000
+dualbound = 1437346.013971, lowerbound=1041024.013971, norm of subgrad 1021.093538 dualbound = 1437346.013971, lowerbound=1041024.013971, norm of subgrad 45.668977 stepsize= 1.000000
+dualbound = 1437763.509628, lowerbound=1038911.509628, norm of subgrad 1020.073286 dualbound = 1437763.509628, lowerbound=1038911.509628, norm of subgrad 45.337574 stepsize= 1.000000
+dualbound = 1438225.147399, lowerbound=1037551.147399, norm of subgrad 1019.408234 dualbound = 1438225.147399, lowerbound=1037551.147399, norm of subgrad 45.865431 stepsize= 1.000000
+dualbound = 1438686.401474, lowerbound=1039286.401474, norm of subgrad 1020.233993 dualbound = 1438686.401474, lowerbound=1039286.401474, norm of subgrad 45.301811 stepsize= 1.000000
+dualbound = 1439153.873836, lowerbound=1040144.873836, norm of subgrad 1020.670306 dualbound = 1439153.873836, lowerbound=1040144.873836, norm of subgrad 45.721684 stepsize= 1.000000
+dualbound = 1439603.388550, lowerbound=1036618.388550, norm of subgrad 1018.919226 dualbound = 1439603.388550, lowerbound=1036618.388550, norm of subgrad 45.027933 stepsize= 1.000000
+dualbound = 1440047.535084, lowerbound=1039461.535084, norm of subgrad 1020.300708 dualbound = 1440047.535084, lowerbound=1039461.535084, norm of subgrad 44.678256 stepsize= 1.000000
+dualbound = 1440523.705242, lowerbound=1038489.705242, norm of subgrad 1019.847883 dualbound = 1440523.705242, lowerbound=1038489.705242, norm of subgrad 45.565010 stepsize= 1.000000
+dualbound = 1440959.002848, lowerbound=1038000.002848, norm of subgrad 1019.590606 dualbound = 1440959.002848, lowerbound=1038000.002848, norm of subgrad 44.724687 stepsize= 1.000000
+dualbound = 1441409.760699, lowerbound=1039358.760699, norm of subgrad 1020.266024 dualbound = 1441409.760699, lowerbound=1039358.760699, norm of subgrad 45.108290 stepsize= 1.000000
+dualbound = 1441863.706282, lowerbound=1040984.706282, norm of subgrad 1021.110526 dualbound = 1441863.706282, lowerbound=1040984.706282, norm of subgrad 46.216291 stepsize= 1.000000
+dualbound = 1442279.815237, lowerbound=1037528.815237, norm of subgrad 1019.413466 dualbound = 1442279.815237, lowerbound=1037528.815237, norm of subgrad 45.728645 stepsize= 1.000000
+dualbound = 1442755.532842, lowerbound=1040715.532842, norm of subgrad 1020.939534 dualbound = 1442755.532842, lowerbound=1040715.532842, norm of subgrad 45.581988 stepsize= 1.000000
+dualbound = 1443198.204962, lowerbound=1038738.204962, norm of subgrad 1019.993238 dualbound = 1443198.204962, lowerbound=1038738.204962, norm of subgrad 45.723868 stepsize= 1.000000
+dualbound = 1443667.829776, lowerbound=1039601.829776, norm of subgrad 1020.391508 dualbound = 1443667.829776, lowerbound=1039601.829776, norm of subgrad 45.460145 stepsize= 1.000000
+dualbound = 1444132.395678, lowerbound=1037591.395678, norm of subgrad 1019.410318 dualbound = 1444132.395678, lowerbound=1037591.395678, norm of subgrad 45.503471 stepsize= 1.000000
+dualbound = 1444574.761115, lowerbound=1041147.761115, norm of subgrad 1021.159028 dualbound = 1444574.761115, lowerbound=1041147.761115, norm of subgrad 45.391248 stepsize= 1.000000
+dualbound = 1445010.466670, lowerbound=1036686.466670, norm of subgrad 1018.986490 dualbound = 1445010.466670, lowerbound=1036686.466670, norm of subgrad 45.636669 stepsize= 1.000000
+dualbound = 1445468.620948, lowerbound=1041578.620948, norm of subgrad 1021.361161 dualbound = 1445468.620948, lowerbound=1041578.620948, norm of subgrad 45.366885 stepsize= 1.000000
+dualbound = 1445921.305812, lowerbound=1037964.305812, norm of subgrad 1019.572119 dualbound = 1445921.305812, lowerbound=1037964.305812, norm of subgrad 44.896379 stepsize= 1.000000
+dualbound = 1446395.935928, lowerbound=1040271.935928, norm of subgrad 1020.710016 dualbound = 1446395.935928, lowerbound=1040271.935928, norm of subgrad 45.294924 stepsize= 1.000000
+dualbound = 1446843.630979, lowerbound=1039861.630979, norm of subgrad 1020.498717 dualbound = 1446843.630979, lowerbound=1039861.630979, norm of subgrad 44.762652 stepsize= 1.000000
+dualbound = 1447283.809915, lowerbound=1039952.809915, norm of subgrad 1020.556618 dualbound = 1447283.809915, lowerbound=1039952.809915, norm of subgrad 44.979761 stepsize= 1.000000
+dualbound = 1447708.957798, lowerbound=1039495.957798, norm of subgrad 1020.362170 dualbound = 1447708.957798, lowerbound=1039495.957798, norm of subgrad 45.476894 stepsize= 1.000000
+dualbound = 1448164.579275, lowerbound=1039353.579275, norm of subgrad 1020.244372 dualbound = 1448164.579275, lowerbound=1039353.579275, norm of subgrad 44.728307 stepsize= 1.000000
+dualbound = 1448627.207488, lowerbound=1038993.207488, norm of subgrad 1020.107449 dualbound = 1448627.207488, lowerbound=1038993.207488, norm of subgrad 45.701512 stepsize= 1.000000
+dualbound = 1449062.988022, lowerbound=1041153.988022, norm of subgrad 1021.162567 dualbound = 1449062.988022, lowerbound=1041153.988022, norm of subgrad 45.329687 stepsize= 1.000000
+dualbound = 1449509.898184, lowerbound=1040021.898184, norm of subgrad 1020.597814 dualbound = 1449509.898184, lowerbound=1040021.898184, norm of subgrad 45.220683 stepsize= 1.000000
+dualbound = 1449966.771927, lowerbound=1039135.771927, norm of subgrad 1020.171933 dualbound = 1449966.771927, lowerbound=1039135.771927, norm of subgrad 45.517840 stepsize= 1.000000
+dualbound = 1450417.656223, lowerbound=1039894.656223, norm of subgrad 1020.552133 dualbound = 1450417.656223, lowerbound=1039894.656223, norm of subgrad 45.638627 stepsize= 1.000000
+dualbound = 1450856.359285, lowerbound=1039091.359285, norm of subgrad 1020.158497 dualbound = 1450856.359285, lowerbound=1039091.359285, norm of subgrad 45.504978 stepsize= 1.000000
+dualbound = 1451326.505920, lowerbound=1039926.505920, norm of subgrad 1020.578515 dualbound = 1451326.505920, lowerbound=1039926.505920, norm of subgrad 46.088465 stepsize= 1.000000
+dualbound = 1451755.179543, lowerbound=1042830.179543, norm of subgrad 1021.987857 dualbound = 1451755.179543, lowerbound=1042830.179543, norm of subgrad 45.361588 stepsize= 1.000000
+dualbound = 1452229.628628, lowerbound=1039539.628628, norm of subgrad 1020.342408 dualbound = 1452229.628628, lowerbound=1039539.628628, norm of subgrad 45.093781 stepsize= 1.000000
+dualbound = 1452672.205887, lowerbound=1041145.205887, norm of subgrad 1021.171977 dualbound = 1452672.205887, lowerbound=1041145.205887, norm of subgrad 45.711894 stepsize= 1.000000
+dualbound = 1453098.809738, lowerbound=1038610.809738, norm of subgrad 1019.935689 dualbound = 1453098.809738, lowerbound=1038610.809738, norm of subgrad 45.657462 stepsize= 1.000000
+dualbound = 1453557.350910, lowerbound=1040806.350910, norm of subgrad 1020.979114 dualbound = 1453557.350910, lowerbound=1040806.350910, norm of subgrad 45.282902 stepsize= 1.000000
+dualbound = 1454018.237386, lowerbound=1039342.237386, norm of subgrad 1020.270179 dualbound = 1454018.237386, lowerbound=1039342.237386, norm of subgrad 45.496005 stepsize= 1.000000
+dualbound = 1454452.273600, lowerbound=1044560.273600, norm of subgrad 1022.834431 dualbound = 1454452.273600, lowerbound=1044560.273600, norm of subgrad 45.431665 stepsize= 1.000000
+dualbound = 1454900.536463, lowerbound=1039869.536463, norm of subgrad 1020.514349 dualbound = 1454900.536463, lowerbound=1039869.536463, norm of subgrad 45.036239 stepsize= 1.000000
+dualbound = 1455350.590219, lowerbound=1039357.590219, norm of subgrad 1020.263981 dualbound = 1455350.590219, lowerbound=1039357.590219, norm of subgrad 45.067214 stepsize= 1.000000
+dualbound = 1455801.848912, lowerbound=1039711.848912, norm of subgrad 1020.454727 dualbound = 1455801.848912, lowerbound=1039711.848912, norm of subgrad 45.467117 stepsize= 1.000000
+dualbound = 1456261.793198, lowerbound=1043189.793198, norm of subgrad 1022.159378 dualbound = 1456261.793198, lowerbound=1043189.793198, norm of subgrad 45.606406 stepsize= 1.000000
+dualbound = 1456685.178816, lowerbound=1039595.178816, norm of subgrad 1020.416179 dualbound = 1456685.178816, lowerbound=1039595.178816, norm of subgrad 45.578346 stepsize= 1.000000
+dualbound = 1457121.931603, lowerbound=1041331.931603, norm of subgrad 1021.271723 dualbound = 1457121.931603, lowerbound=1041331.931603, norm of subgrad 45.833970 stepsize= 1.000000
+dualbound = 1457576.900847, lowerbound=1042884.900847, norm of subgrad 1022.022945 dualbound = 1457576.900847, lowerbound=1042884.900847, norm of subgrad 45.836331 stepsize= 1.000000
+dualbound = 1458031.025865, lowerbound=1039554.025865, norm of subgrad 1020.369554 dualbound = 1458031.025865, lowerbound=1039554.025865, norm of subgrad 45.322456 stepsize= 1.000000
+dualbound = 1458453.745291, lowerbound=1039309.745291, norm of subgrad 1020.273368 dualbound = 1458453.745291, lowerbound=1039309.745291, norm of subgrad 45.505158 stepsize= 1.000000
+dualbound = 1458934.247245, lowerbound=1043111.247245, norm of subgrad 1022.128293 dualbound = 1458934.247245, lowerbound=1043111.247245, norm of subgrad 45.994586 stepsize= 1.000000
+dualbound = 1459336.071369, lowerbound=1040791.071369, norm of subgrad 1021.005912 dualbound = 1459336.071369, lowerbound=1040791.071369, norm of subgrad 45.429331 stepsize= 1.000000
+dualbound = 1459791.289918, lowerbound=1043205.289918, norm of subgrad 1022.189459 dualbound = 1459791.289918, lowerbound=1043205.289918, norm of subgrad 46.056688 stepsize= 1.000000
+dualbound = 1460231.275555, lowerbound=1041113.275555, norm of subgrad 1021.157322 dualbound = 1460231.275555, lowerbound=1041113.275555, norm of subgrad 45.705422 stepsize= 1.000000
+dualbound = 1460674.422914, lowerbound=1042099.422914, norm of subgrad 1021.618531 dualbound = 1460674.422914, lowerbound=1042099.422914, norm of subgrad 45.256462 stepsize= 1.000000
+dualbound = 1461120.197665, lowerbound=1040262.197665, norm of subgrad 1020.708184 dualbound = 1461120.197665, lowerbound=1040262.197665, norm of subgrad 45.041922 stepsize= 1.000000
+dualbound = 1461590.217203, lowerbound=1041038.217203, norm of subgrad 1021.092169 dualbound = 1461590.217203, lowerbound=1041038.217203, norm of subgrad 45.398453 stepsize= 1.000000
+dualbound = 1462029.035971, lowerbound=1040745.035971, norm of subgrad 1020.956432 dualbound = 1462029.035971, lowerbound=1040745.035971, norm of subgrad 45.230728 stepsize= 1.000000
+dualbound = 1462479.935816, lowerbound=1042173.935816, norm of subgrad 1021.664297 dualbound = 1462479.935816, lowerbound=1042173.935816, norm of subgrad 45.551069 stepsize= 1.000000
+dualbound = 1462904.171414, lowerbound=1040308.171414, norm of subgrad 1020.753237 dualbound = 1462904.171414, lowerbound=1040308.171414, norm of subgrad 45.312643 stepsize= 1.000000
+dualbound = 1463362.890041, lowerbound=1043799.890041, norm of subgrad 1022.463638 dualbound = 1463362.890041, lowerbound=1043799.890041, norm of subgrad 45.724377 stepsize= 1.000000
+dualbound = 1463752.453340, lowerbound=1039662.453340, norm of subgrad 1020.458453 dualbound = 1463752.453340, lowerbound=1039662.453340, norm of subgrad 45.415452 stepsize= 1.000000
+dualbound = 1464254.050850, lowerbound=1043028.050850, norm of subgrad 1022.054818 dualbound = 1464254.050850, lowerbound=1043028.050850, norm of subgrad 45.492829 stepsize= 1.000000
+dualbound = 1464667.249333, lowerbound=1039628.249333, norm of subgrad 1020.446593 dualbound = 1464667.249333, lowerbound=1039628.249333, norm of subgrad 45.784260 stepsize= 1.000000
+dualbound = 1465100.562000, lowerbound=1043128.562000, norm of subgrad 1022.134806 dualbound = 1465100.562000, lowerbound=1043128.562000, norm of subgrad 45.434708 stepsize= 1.000000
+dualbound = 1465559.219394, lowerbound=1042260.219394, norm of subgrad 1021.681075 dualbound = 1465559.219394, lowerbound=1042260.219394, norm of subgrad 45.062816 stepsize= 1.000000
+dualbound = 1466031.846300, lowerbound=1042820.846300, norm of subgrad 1021.975952 dualbound = 1466031.846300, lowerbound=1042820.846300, norm of subgrad 45.679611 stepsize= 1.000000
+dualbound = 1466412.942816, lowerbound=1041268.942816, norm of subgrad 1021.245780 dualbound = 1466412.942816, lowerbound=1041268.942816, norm of subgrad 45.333172 stepsize= 1.000000
+dualbound = 1466886.267212, lowerbound=1041678.267212, norm of subgrad 1021.424626 dualbound = 1466886.267212, lowerbound=1041678.267212, norm of subgrad 45.862015 stepsize= 1.000000
+dualbound = 1467325.342770, lowerbound=1041067.342770, norm of subgrad 1021.102513 dualbound = 1467325.342770, lowerbound=1041067.342770, norm of subgrad 44.967494 stepsize= 1.000000
+dualbound = 1467779.709222, lowerbound=1041864.709222, norm of subgrad 1021.529593 dualbound = 1467779.709222, lowerbound=1041864.709222, norm of subgrad 45.960488 stepsize= 1.000000
+dualbound = 1468195.704126, lowerbound=1041472.704126, norm of subgrad 1021.307840 dualbound = 1468195.704126, lowerbound=1041472.704126, norm of subgrad 44.866412 stepsize= 1.000000
+dualbound = 1468671.455677, lowerbound=1043690.455677, norm of subgrad 1022.401318 dualbound = 1468671.455677, lowerbound=1043690.455677, norm of subgrad 45.713800 stepsize= 1.000000
+dualbound = 1469094.318716, lowerbound=1039568.318716, norm of subgrad 1020.369207 dualbound = 1469094.318716, lowerbound=1039568.318716, norm of subgrad 44.809185 stepsize= 1.000000
+dualbound = 1469552.905179, lowerbound=1044863.905179, norm of subgrad 1022.982358 dualbound = 1469552.905179, lowerbound=1044863.905179, norm of subgrad 45.690113 stepsize= 1.000000
+dualbound = 1469960.866924, lowerbound=1040895.866924, norm of subgrad 1021.055271 dualbound = 1469960.866924, lowerbound=1040895.866924, norm of subgrad 45.452852 stepsize= 1.000000
+dualbound = 1470439.421375, lowerbound=1041835.421375, norm of subgrad 1021.457499 dualbound = 1470439.421375, lowerbound=1041835.421375, norm of subgrad 44.928326 stepsize= 1.000000
+dualbound = 1470880.784989, lowerbound=1043467.784989, norm of subgrad 1022.278233 dualbound = 1470880.784989, lowerbound=1043467.784989, norm of subgrad 45.015149 stepsize= 1.000000
+dualbound = 1471310.352703, lowerbound=1043065.352703, norm of subgrad 1022.089699 dualbound = 1471310.352703, lowerbound=1043065.352703, norm of subgrad 45.072916 stepsize= 1.000000
+dualbound = 1471730.411042, lowerbound=1041606.411042, norm of subgrad 1021.407564 dualbound = 1471730.411042, lowerbound=1041606.411042, norm of subgrad 45.684334 stepsize= 1.000000
+dualbound = 1472175.713692, lowerbound=1043426.713692, norm of subgrad 1022.262546 dualbound = 1472175.713692, lowerbound=1043426.713692, norm of subgrad 45.158639 stepsize= 1.000000
+dualbound = 1472625.914271, lowerbound=1040611.914271, norm of subgrad 1020.872624 dualbound = 1472625.914271, lowerbound=1040611.914271, norm of subgrad 44.935516 stepsize= 1.000000
+dualbound = 1473042.140895, lowerbound=1044200.140895, norm of subgrad 1022.666681 dualbound = 1473042.140895, lowerbound=1044200.140895, norm of subgrad 45.422754 stepsize= 1.000000
+dualbound = 1473486.141619, lowerbound=1040784.141619, norm of subgrad 1020.982929 dualbound = 1473486.141619, lowerbound=1040784.141619, norm of subgrad 45.453281 stepsize= 1.000000
+dualbound = 1473917.059807, lowerbound=1043662.059807, norm of subgrad 1022.418241 dualbound = 1473917.059807, lowerbound=1043662.059807, norm of subgrad 45.912070 stepsize= 1.000000
+dualbound = 1474343.846457, lowerbound=1040588.846457, norm of subgrad 1020.875040 dualbound = 1474343.846457, lowerbound=1040588.846457, norm of subgrad 44.986516 stepsize= 1.000000
+dualbound = 1474812.134228, lowerbound=1042993.134228, norm of subgrad 1022.040182 dualbound = 1474812.134228, lowerbound=1042993.134228, norm of subgrad 45.180613 stepsize= 1.000000
+dualbound = 1475256.569271, lowerbound=1042407.569271, norm of subgrad 1021.764929 dualbound = 1475256.569271, lowerbound=1042407.569271, norm of subgrad 45.171175 stepsize= 1.000000
+dualbound = 1475679.562645, lowerbound=1045464.562645, norm of subgrad 1023.302772 dualbound = 1475679.562645, lowerbound=1045464.562645, norm of subgrad 45.901998 stepsize= 1.000000
+dualbound = 1476113.352518, lowerbound=1038202.352518, norm of subgrad 1019.720232 dualbound = 1476113.352518, lowerbound=1038202.352518, norm of subgrad 45.395924 stepsize= 1.000000
+dualbound = 1476575.566100, lowerbound=1046641.566100, norm of subgrad 1023.812759 dualbound = 1476575.566100, lowerbound=1046641.566100, norm of subgrad 44.868849 stepsize= 1.000000
+dualbound = 1477024.335386, lowerbound=1041058.335386, norm of subgrad 1021.106917 dualbound = 1477024.335386, lowerbound=1041058.335386, norm of subgrad 45.274378 stepsize= 1.000000
+dualbound = 1477411.637192, lowerbound=1044264.637192, norm of subgrad 1022.687458 dualbound = 1477411.637192, lowerbound=1044264.637192, norm of subgrad 44.858687 stepsize= 1.000000
+dualbound = 1477880.095032, lowerbound=1041972.095032, norm of subgrad 1021.545444 dualbound = 1477880.095032, lowerbound=1041972.095032, norm of subgrad 45.293022 stepsize= 1.000000
+dualbound = 1478297.161700, lowerbound=1044334.161700, norm of subgrad 1022.744915 dualbound = 1478297.161700, lowerbound=1044334.161700, norm of subgrad 45.717247 stepsize= 1.000000
+dualbound = 1478740.930307, lowerbound=1043755.930307, norm of subgrad 1022.410353 dualbound = 1478740.930307, lowerbound=1043755.930307, norm of subgrad 44.841595 stepsize= 1.000000
+dualbound = 1479194.324941, lowerbound=1043061.324941, norm of subgrad 1022.074520 dualbound = 1479194.324941, lowerbound=1043061.324941, norm of subgrad 45.037702 stepsize= 1.000000
+dualbound = 1479609.794906, lowerbound=1043158.794906, norm of subgrad 1022.153019 dualbound = 1479609.794906, lowerbound=1043158.794906, norm of subgrad 45.315229 stepsize= 1.000000
+dualbound = 1480032.855462, lowerbound=1042823.855462, norm of subgrad 1021.986231 dualbound = 1480032.855462, lowerbound=1042823.855462, norm of subgrad 45.332776 stepsize= 1.000000
+dualbound = 1480484.386826, lowerbound=1044097.386826, norm of subgrad 1022.589061 dualbound = 1480484.386826, lowerbound=1044097.386826, norm of subgrad 45.194373 stepsize= 1.000000
+dualbound = 1480929.408205, lowerbound=1043787.408205, norm of subgrad 1022.461935 dualbound = 1480929.408205, lowerbound=1043787.408205, norm of subgrad 45.672983 stepsize= 1.000000
+dualbound = 1481340.396374, lowerbound=1041994.396374, norm of subgrad 1021.557339 dualbound = 1481340.396374, lowerbound=1041994.396374, norm of subgrad 44.676483 stepsize= 1.000000
+dualbound = 1481810.699100, lowerbound=1042878.699100, norm of subgrad 1021.972455 dualbound = 1481810.699100, lowerbound=1042878.699100, norm of subgrad 44.936652 stepsize= 1.000000
+dualbound = 1482225.178197, lowerbound=1045028.178197, norm of subgrad 1023.067045 dualbound = 1482225.178197, lowerbound=1045028.178197, norm of subgrad 45.304294 stepsize= 1.000000
+dualbound = 1482670.581894, lowerbound=1042925.581894, norm of subgrad 1022.049696 dualbound = 1482670.581894, lowerbound=1042925.581894, norm of subgrad 45.884678 stepsize= 1.000000
+dualbound = 1483067.462463, lowerbound=1042941.462463, norm of subgrad 1022.049149 dualbound = 1483067.462463, lowerbound=1042941.462463, norm of subgrad 45.165037 stepsize= 1.000000
+dualbound = 1483536.428526, lowerbound=1044828.428526, norm of subgrad 1022.954754 dualbound = 1483536.428526, lowerbound=1044828.428526, norm of subgrad 45.573743 stepsize= 1.000000
+dualbound = 1483970.803074, lowerbound=1041935.803074, norm of subgrad 1021.501739 dualbound = 1483970.803074, lowerbound=1041935.803074, norm of subgrad 44.321265 stepsize= 1.000000
+dualbound = 1484396.896037, lowerbound=1045820.896037, norm of subgrad 1023.424104 dualbound = 1484396.896037, lowerbound=1045820.896037, norm of subgrad 44.744753 stepsize= 1.000000
+dualbound = 1484828.042007, lowerbound=1042873.042007, norm of subgrad 1021.991214 dualbound = 1484828.042007, lowerbound=1042873.042007, norm of subgrad 44.990510 stepsize= 1.000000
+dualbound = 1485248.828298, lowerbound=1046551.828298, norm of subgrad 1023.796283 dualbound = 1485248.828298, lowerbound=1046551.828298, norm of subgrad 45.030948 stepsize= 1.000000
+dualbound = 1485672.898293, lowerbound=1044923.898293, norm of subgrad 1022.985776 dualbound = 1485672.898293, lowerbound=1044923.898293, norm of subgrad 44.722142 stepsize= 1.000000
+dualbound = 1486101.401287, lowerbound=1045242.401287, norm of subgrad 1023.148279 dualbound = 1486101.401287, lowerbound=1045242.401287, norm of subgrad 44.927753 stepsize= 1.000000
+dualbound = 1486543.030984, lowerbound=1044868.030984, norm of subgrad 1022.985352 dualbound = 1486543.030984, lowerbound=1044868.030984, norm of subgrad 45.526143 stepsize= 1.000000
+dualbound = 1486970.063824, lowerbound=1044309.063824, norm of subgrad 1022.691578 dualbound = 1486970.063824, lowerbound=1044309.063824, norm of subgrad 44.900254 stepsize= 1.000000
+dualbound = 1487394.820110, lowerbound=1045284.820110, norm of subgrad 1023.161190 dualbound = 1487394.820110, lowerbound=1045284.820110, norm of subgrad 44.707452 stepsize= 1.000000
+dualbound = 1487823.983762, lowerbound=1047209.983762, norm of subgrad 1024.134261 dualbound = 1487823.983762, lowerbound=1047209.983762, norm of subgrad 45.499051 stepsize= 1.000000
+dualbound = 1488246.433673, lowerbound=1044138.433673, norm of subgrad 1022.618420 dualbound = 1488246.433673, lowerbound=1044138.433673, norm of subgrad 45.082701 stepsize= 1.000000
+dualbound = 1488680.621661, lowerbound=1048571.621661, norm of subgrad 1024.785159 dualbound = 1488680.621661, lowerbound=1048571.621661, norm of subgrad 45.245862 stepsize= 1.000000
+dualbound = 1489115.767660, lowerbound=1043977.767660, norm of subgrad 1022.529593 dualbound = 1489115.767660, lowerbound=1043977.767660, norm of subgrad 44.990510 stepsize= 1.000000
+dualbound = 1489553.225446, lowerbound=1044494.225446, norm of subgrad 1022.784545 dualbound = 1489553.225446, lowerbound=1044494.225446, norm of subgrad 45.071696 stepsize= 1.000000
+dualbound = 1489961.913761, lowerbound=1046551.913761, norm of subgrad 1023.764579 dualbound = 1489961.913761, lowerbound=1046551.913761, norm of subgrad 44.166597 stepsize= 1.000000
+dualbound = 1490419.557167, lowerbound=1047555.557167, norm of subgrad 1024.276114 dualbound = 1490419.557167, lowerbound=1047555.557167, norm of subgrad 45.206674 stepsize= 1.000000
+dualbound = 1490781.693120, lowerbound=1044250.693120, norm of subgrad 1022.707042 dualbound = 1490781.693120, lowerbound=1044250.693120, norm of subgrad 45.178933 stepsize= 1.000000
+dualbound = 1491217.484170, lowerbound=1048811.484170, norm of subgrad 1024.879741 dualbound = 1491217.484170, lowerbound=1048811.484170, norm of subgrad 44.752554 stepsize= 1.000000
+dualbound = 1491677.637852, lowerbound=1045366.637852, norm of subgrad 1023.173318 dualbound = 1491677.637852, lowerbound=1045366.637852, norm of subgrad 44.465196 stepsize= 1.000000
+dualbound = 1492105.144049, lowerbound=1045652.144049, norm of subgrad 1023.335792 dualbound = 1492105.144049, lowerbound=1045652.144049, norm of subgrad 44.626295 stepsize= 1.000000
+dualbound = 1492519.114006, lowerbound=1047318.114006, norm of subgrad 1024.187050 dualbound = 1492519.114006, lowerbound=1047318.114006, norm of subgrad 45.331776 stepsize= 1.000000
+dualbound = 1492895.983197, lowerbound=1045352.983197, norm of subgrad 1023.224307 dualbound = 1492895.983197, lowerbound=1045352.983197, norm of subgrad 44.853865 stepsize= 1.000000
+dualbound = 1493357.667877, lowerbound=1046910.667877, norm of subgrad 1023.969076 dualbound = 1493357.667877, lowerbound=1046910.667877, norm of subgrad 45.427796 stepsize= 1.000000
+dualbound = 1493778.509894, lowerbound=1045582.509894, norm of subgrad 1023.276360 dualbound = 1493778.509894, lowerbound=1045582.509894, norm of subgrad 43.964099 stepsize= 1.000000
+dualbound = 1494243.363958, lowerbound=1047094.363958, norm of subgrad 1024.039239 dualbound = 1494243.363958, lowerbound=1047094.363958, norm of subgrad 45.020596 stepsize= 1.000000
+dualbound = 1494650.983479, lowerbound=1045236.983479, norm of subgrad 1023.131460 dualbound = 1494650.983479, lowerbound=1045236.983479, norm of subgrad 44.369128 stepsize= 1.000000
+dualbound = 1495068.949805, lowerbound=1046800.949805, norm of subgrad 1023.915988 dualbound = 1495068.949805, lowerbound=1046800.949805, norm of subgrad 44.955159 stepsize= 1.000000
+dualbound = 1495480.147744, lowerbound=1047119.147744, norm of subgrad 1024.087959 dualbound = 1495480.147744, lowerbound=1047119.147744, norm of subgrad 45.257021 stepsize= 1.000000
+dualbound = 1495894.444500, lowerbound=1044630.444500, norm of subgrad 1022.868733 dualbound = 1495894.444500, lowerbound=1044630.444500, norm of subgrad 45.213900 stepsize= 1.000000
+dualbound = 1496308.103319, lowerbound=1047487.103319, norm of subgrad 1024.249044 dualbound = 1496308.103319, lowerbound=1047487.103319, norm of subgrad 44.862666 stepsize= 1.000000
+dualbound = 1496752.360169, lowerbound=1047160.360169, norm of subgrad 1024.087574 dualbound = 1496752.360169, lowerbound=1047160.360169, norm of subgrad 45.158132 stepsize= 1.000000
+dualbound = 1497166.398520, lowerbound=1047386.398520, norm of subgrad 1024.185236 dualbound = 1497166.398520, lowerbound=1047386.398520, norm of subgrad 44.531319 stepsize= 1.000000
+dualbound = 1497604.738195, lowerbound=1044275.738195, norm of subgrad 1022.668440 dualbound = 1497604.738195, lowerbound=1044275.738195, norm of subgrad 44.870254 stepsize= 1.000000
+dualbound = 1498003.960489, lowerbound=1047914.960489, norm of subgrad 1024.476432 dualbound = 1498003.960489, lowerbound=1047914.960489, norm of subgrad 45.124520 stepsize= 1.000000
+dualbound = 1498448.953344, lowerbound=1045538.953344, norm of subgrad 1023.287815 dualbound = 1498448.953344, lowerbound=1045538.953344, norm of subgrad 44.988808 stepsize= 1.000000
+dualbound = 1498864.927102, lowerbound=1049310.927102, norm of subgrad 1025.136053 dualbound = 1498864.927102, lowerbound=1049310.927102, norm of subgrad 44.821577 stepsize= 1.000000
+dualbound = 1499289.786489, lowerbound=1045548.786489, norm of subgrad 1023.307767 dualbound = 1499289.786489, lowerbound=1045548.786489, norm of subgrad 45.109416 stepsize= 1.000000
+dualbound = 1499708.674368, lowerbound=1049134.674368, norm of subgrad 1025.059839 dualbound = 1499708.674368, lowerbound=1049134.674368, norm of subgrad 45.076467 stepsize= 1.000000
+dualbound = 1500143.936095, lowerbound=1046530.936095, norm of subgrad 1023.756776 dualbound = 1500143.936095, lowerbound=1046530.936095, norm of subgrad 44.522598 stepsize= 1.000000
+dualbound = 1500560.050985, lowerbound=1045793.050985, norm of subgrad 1023.399263 dualbound = 1500560.050985, lowerbound=1045793.050985, norm of subgrad 44.374710 stepsize= 1.000000
+dualbound = 1500971.300652, lowerbound=1045860.300652, norm of subgrad 1023.417462 dualbound = 1500971.300652, lowerbound=1045860.300652, norm of subgrad 43.980105 stepsize= 1.000000
+dualbound = 1501413.141477, lowerbound=1047266.141477, norm of subgrad 1024.163142 dualbound = 1501413.141477, lowerbound=1047266.141477, norm of subgrad 45.671006 stepsize= 1.000000
+dualbound = 1501802.886179, lowerbound=1048033.886179, norm of subgrad 1024.532521 dualbound = 1501802.886179, lowerbound=1048033.886179, norm of subgrad 44.974934 stepsize= 1.000000
+dualbound = 1502263.501324, lowerbound=1046652.501324, norm of subgrad 1023.821030 dualbound = 1502263.501324, lowerbound=1046652.501324, norm of subgrad 44.917871 stepsize= 1.000000
+dualbound = 1502663.049152, lowerbound=1049235.049152, norm of subgrad 1025.090264 dualbound = 1502663.049152, lowerbound=1049235.049152, norm of subgrad 44.435884 stepsize= 1.000000
+dualbound = 1503099.223546, lowerbound=1048137.223546, norm of subgrad 1024.568311 dualbound = 1503099.223546, lowerbound=1048137.223546, norm of subgrad 45.157219 stepsize= 1.000000
+dualbound = 1503506.682273, lowerbound=1047546.682273, norm of subgrad 1024.282521 dualbound = 1503506.682273, lowerbound=1047546.682273, norm of subgrad 44.893861 stepsize= 1.000000
+dualbound = 1503922.039941, lowerbound=1047637.039941, norm of subgrad 1024.374463 dualbound = 1503922.039941, lowerbound=1047637.039941, norm of subgrad 46.058199 stepsize= 1.000000
+dualbound = 1504340.520325, lowerbound=1049242.520325, norm of subgrad 1025.090981 dualbound = 1504340.520325, lowerbound=1049242.520325, norm of subgrad 44.581166 stepsize= 1.000000
+dualbound = 1504776.209132, lowerbound=1043588.209132, norm of subgrad 1022.321969 dualbound = 1504776.209132, lowerbound=1043588.209132, norm of subgrad 44.605928 stepsize= 1.000000
+dualbound = 1505192.494770, lowerbound=1048467.494770, norm of subgrad 1024.714836 dualbound = 1505192.494770, lowerbound=1048467.494770, norm of subgrad 44.601408 stepsize= 1.000000
+dualbound = 1505611.250279, lowerbound=1047946.250279, norm of subgrad 1024.473645 dualbound = 1505611.250279, lowerbound=1047946.250279, norm of subgrad 44.930563 stepsize= 1.000000
+dualbound = 1506013.715415, lowerbound=1047060.715415, norm of subgrad 1024.041852 dualbound = 1506013.715415, lowerbound=1047060.715415, norm of subgrad 44.760084 stepsize= 1.000000
+dualbound = 1506444.214583, lowerbound=1046923.214583, norm of subgrad 1023.989363 dualbound = 1506444.214583, lowerbound=1046923.214583, norm of subgrad 45.403735 stepsize= 1.000000
+dualbound = 1506837.825524, lowerbound=1048968.825524, norm of subgrad 1024.974549 dualbound = 1506837.825524, lowerbound=1048968.825524, norm of subgrad 44.694641 stepsize= 1.000000
+dualbound = 1507307.596203, lowerbound=1047040.596203, norm of subgrad 1024.033494 dualbound = 1507307.596203, lowerbound=1047040.596203, norm of subgrad 45.538672 stepsize= 1.000000
+dualbound = 1507686.766516, lowerbound=1048861.766516, norm of subgrad 1024.943299 dualbound = 1507686.766516, lowerbound=1048861.766516, norm of subgrad 45.013002 stepsize= 1.000000
+dualbound = 1508114.379312, lowerbound=1048103.379312, norm of subgrad 1024.562043 dualbound = 1508114.379312, lowerbound=1048103.379312, norm of subgrad 45.294733 stepsize= 1.000000
+dualbound = 1508555.952153, lowerbound=1047734.952153, norm of subgrad 1024.329025 dualbound = 1508555.952153, lowerbound=1047734.952153, norm of subgrad 44.233164 stepsize= 1.000000
+dualbound = 1508980.271988, lowerbound=1049458.271988, norm of subgrad 1025.222060 dualbound = 1508980.271988, lowerbound=1049458.271988, norm of subgrad 45.236267 stepsize= 1.000000
+dualbound = 1509375.628393, lowerbound=1048447.628393, norm of subgrad 1024.708558 dualbound = 1509375.628393, lowerbound=1048447.628393, norm of subgrad 44.444982 stepsize= 1.000000
+dualbound = 1509784.816058, lowerbound=1047336.816058, norm of subgrad 1024.201062 dualbound = 1509784.816058, lowerbound=1047336.816058, norm of subgrad 45.389290 stepsize= 1.000000
+dualbound = 1510207.662536, lowerbound=1047965.662536, norm of subgrad 1024.462621 dualbound = 1510207.662536, lowerbound=1047965.662536, norm of subgrad 44.506701 stepsize= 1.000000
+dualbound = 1510673.144404, lowerbound=1048201.144404, norm of subgrad 1024.578520 dualbound = 1510673.144404, lowerbound=1048201.144404, norm of subgrad 45.005354 stepsize= 1.000000
+dualbound = 1511066.405282, lowerbound=1049712.405282, norm of subgrad 1025.351357 dualbound = 1511066.405282, lowerbound=1049712.405282, norm of subgrad 45.014008 stepsize= 1.000000
+dualbound = 1511491.376592, lowerbound=1048166.376592, norm of subgrad 1024.568874 dualbound = 1511491.376592, lowerbound=1048166.376592, norm of subgrad 44.721039 stepsize= 1.000000
+dualbound = 1511904.785041, lowerbound=1049623.785041, norm of subgrad 1025.272542 dualbound = 1511904.785041, lowerbound=1049623.785041, norm of subgrad 44.423062 stepsize= 1.000000
+dualbound = 1512353.259133, lowerbound=1047699.259133, norm of subgrad 1024.356998 dualbound = 1512353.259133, lowerbound=1047699.259133, norm of subgrad 45.348364 stepsize= 1.000000
+dualbound = 1512710.144539, lowerbound=1049843.144539, norm of subgrad 1025.428761 dualbound = 1512710.144539, lowerbound=1049843.144539, norm of subgrad 44.920879 stepsize= 1.000000
+dualbound = 1513136.973255, lowerbound=1047591.973255, norm of subgrad 1024.285592 dualbound = 1513136.973255, lowerbound=1047591.973255, norm of subgrad 44.674699 stepsize= 1.000000
+dualbound = 1513595.996488, lowerbound=1050585.996488, norm of subgrad 1025.757280 dualbound = 1513595.996488, lowerbound=1050585.996488, norm of subgrad 45.288224 stepsize= 1.000000
+dualbound = 1513979.657226, lowerbound=1049284.657225, norm of subgrad 1025.136409 dualbound = 1513979.657226, lowerbound=1049284.657225, norm of subgrad 44.762269 stepsize= 1.000000
+dualbound = 1514405.918316, lowerbound=1049898.918316, norm of subgrad 1025.434015 dualbound = 1514405.918316, lowerbound=1049898.918316, norm of subgrad 45.191383 stepsize= 1.000000
+dualbound = 1514780.094607, lowerbound=1049031.094607, norm of subgrad 1025.008827 dualbound = 1514780.094607, lowerbound=1049031.094607, norm of subgrad 44.566538 stepsize= 1.000000
+dualbound = 1515249.570003, lowerbound=1050258.570003, norm of subgrad 1025.598640 dualbound = 1515249.570003, lowerbound=1050258.570003, norm of subgrad 45.425493 stepsize= 1.000000
+dualbound = 1515650.850498, lowerbound=1049194.850498, norm of subgrad 1025.062364 dualbound = 1515650.850498, lowerbound=1049194.850498, norm of subgrad 44.263761 stepsize= 1.000000
+dualbound = 1516066.503623, lowerbound=1050032.503623, norm of subgrad 1025.482084 dualbound = 1516066.503623, lowerbound=1050032.503623, norm of subgrad 44.683925 stepsize= 1.000000
+dualbound = 1516472.383009, lowerbound=1047930.383009, norm of subgrad 1024.461997 dualbound = 1516472.383009, lowerbound=1047930.383009, norm of subgrad 44.697644 stepsize= 1.000000
+dualbound = 1516875.790918, lowerbound=1051154.790918, norm of subgrad 1026.016954 dualbound = 1516875.790918, lowerbound=1051154.790918, norm of subgrad 44.265200 stepsize= 1.000000
+dualbound = 1517307.744546, lowerbound=1048561.744546, norm of subgrad 1024.747161 dualbound = 1517307.744546, lowerbound=1048561.744546, norm of subgrad 44.462947 stepsize= 1.000000
+dualbound = 1517719.011341, lowerbound=1047025.011341, norm of subgrad 1023.995123 dualbound = 1517719.011341, lowerbound=1047025.011341, norm of subgrad 44.184463 stepsize= 1.000000
+dualbound = 1518161.994976, lowerbound=1053019.994976, norm of subgrad 1026.930375 dualbound = 1518161.994976, lowerbound=1053019.994976, norm of subgrad 44.821687 stepsize= 1.000000
+dualbound = 1518534.359526, lowerbound=1048518.359526, norm of subgrad 1024.750389 dualbound = 1518534.359526, lowerbound=1048518.359526, norm of subgrad 44.354983 stepsize= 1.000000
+dualbound = 1518971.407571, lowerbound=1051590.407571, norm of subgrad 1026.226782 dualbound = 1518971.407571, lowerbound=1051590.407571, norm of subgrad 44.587532 stepsize= 1.000000
+dualbound = 1519395.810702, lowerbound=1049887.810702, norm of subgrad 1025.415433 dualbound = 1519395.810702, lowerbound=1049887.810702, norm of subgrad 44.870961 stepsize= 1.000000
+dualbound = 1519778.762116, lowerbound=1049600.762116, norm of subgrad 1025.260826 dualbound = 1519778.762116, lowerbound=1049600.762116, norm of subgrad 44.067578 stepsize= 1.000000
+dualbound = 1520184.941651, lowerbound=1048869.941651, norm of subgrad 1024.943872 dualbound = 1520184.941651, lowerbound=1048869.941651, norm of subgrad 45.234716 stepsize= 1.000000
+dualbound = 1520571.334146, lowerbound=1051240.334146, norm of subgrad 1026.087878 dualbound = 1520571.334146, lowerbound=1051240.334146, norm of subgrad 44.748100 stepsize= 1.000000
+dualbound = 1521007.859289, lowerbound=1049796.859289, norm of subgrad 1025.349628 dualbound = 1521007.859289, lowerbound=1049796.859289, norm of subgrad 44.514325 stepsize= 1.000000
+dualbound = 1521426.917436, lowerbound=1048279.917436, norm of subgrad 1024.630625 dualbound = 1521426.917436, lowerbound=1048279.917436, norm of subgrad 44.800203 stepsize= 1.000000
+dualbound = 1521865.323073, lowerbound=1052131.323073, norm of subgrad 1026.508316 dualbound = 1521865.323073, lowerbound=1052131.323073, norm of subgrad 45.015615 stepsize= 1.000000
+dualbound = 1522246.111141, lowerbound=1048712.111140, norm of subgrad 1024.837602 dualbound = 1522246.111141, lowerbound=1048712.111140, norm of subgrad 44.280787 stepsize= 1.000000
+dualbound = 1522651.168744, lowerbound=1049727.168744, norm of subgrad 1025.349779 dualbound = 1522651.168744, lowerbound=1049727.168744, norm of subgrad 44.945051 stepsize= 1.000000
+dualbound = 1523061.422381, lowerbound=1051601.422381, norm of subgrad 1026.270151 dualbound = 1523061.422381, lowerbound=1051601.422381, norm of subgrad 45.158096 stepsize= 1.000000
+dualbound = 1523452.712676, lowerbound=1048823.712676, norm of subgrad 1024.903758 dualbound = 1523452.712676, lowerbound=1048823.712676, norm of subgrad 44.668672 stepsize= 1.000000
+dualbound = 1523879.283825, lowerbound=1050803.283825, norm of subgrad 1025.858316 dualbound = 1523879.283825, lowerbound=1050803.283825, norm of subgrad 44.817085 stepsize= 1.000000
+dualbound = 1524301.677409, lowerbound=1050982.677409, norm of subgrad 1025.980349 dualbound = 1524301.677409, lowerbound=1050982.677409, norm of subgrad 45.556488 stepsize= 1.000000
+dualbound = 1524674.798739, lowerbound=1049719.798739, norm of subgrad 1025.373492 dualbound = 1524674.798739, lowerbound=1049719.798739, norm of subgrad 45.211960 stepsize= 1.000000
+dualbound = 1525113.583481, lowerbound=1052819.583481, norm of subgrad 1026.805524 dualbound = 1525113.583481, lowerbound=1052819.583481, norm of subgrad 44.145042 stepsize= 1.000000
+dualbound = 1525562.741790, lowerbound=1048528.741790, norm of subgrad 1024.736426 dualbound = 1525562.741790, lowerbound=1048528.741790, norm of subgrad 44.778994 stepsize= 1.000000
+dualbound = 1525947.606538, lowerbound=1054384.606538, norm of subgrad 1027.606737 dualbound = 1525947.606538, lowerbound=1054384.606538, norm of subgrad 44.450700 stepsize= 1.000000
+dualbound = 1526349.165576, lowerbound=1050068.165576, norm of subgrad 1025.517999 dualbound = 1526349.165576, lowerbound=1050068.165576, norm of subgrad 44.950629 stepsize= 1.000000
+dualbound = 1526770.721159, lowerbound=1048888.721159, norm of subgrad 1024.914982 dualbound = 1526770.721159, lowerbound=1048888.721159, norm of subgrad 44.537126 stepsize= 1.000000
+dualbound = 1527178.612086, lowerbound=1049804.612086, norm of subgrad 1025.364136 dualbound = 1527178.612086, lowerbound=1049804.612086, norm of subgrad 44.439745 stepsize= 1.000000
+dualbound = 1527593.651426, lowerbound=1049264.651426, norm of subgrad 1025.108117 dualbound = 1527593.651426, lowerbound=1049264.651426, norm of subgrad 44.688246 stepsize= 1.000000
+dualbound = 1528020.648798, lowerbound=1050417.648798, norm of subgrad 1025.686916 dualbound = 1528020.648798, lowerbound=1050417.648798, norm of subgrad 45.199528 stepsize= 1.000000
+dualbound = 1528390.505850, lowerbound=1051886.505850, norm of subgrad 1026.407086 dualbound = 1528390.505850, lowerbound=1051886.505850, norm of subgrad 44.663823 stepsize= 1.000000
+dualbound = 1528828.119881, lowerbound=1051082.119881, norm of subgrad 1025.983489 dualbound = 1528828.119881, lowerbound=1051082.119881, norm of subgrad 44.694676 stepsize= 1.000000
+dualbound = 1529210.869551, lowerbound=1051152.869551, norm of subgrad 1026.033074 dualbound = 1529210.869551, lowerbound=1051152.869551, norm of subgrad 44.426903 stepsize= 1.000000
+dualbound = 1529636.738082, lowerbound=1049243.738082, norm of subgrad 1025.093527 dualbound = 1529636.738082, lowerbound=1049243.738082, norm of subgrad 44.708708 stepsize= 1.000000
+dualbound = 1530041.213485, lowerbound=1052977.213485, norm of subgrad 1026.915388 dualbound = 1530041.213485, lowerbound=1052977.213485, norm of subgrad 44.524998 stepsize= 1.000000
+dualbound = 1530461.840264, lowerbound=1048232.840264, norm of subgrad 1024.607164 dualbound = 1530461.840264, lowerbound=1048232.840264, norm of subgrad 44.806548 stepsize= 1.000000
+dualbound = 1530854.378220, lowerbound=1053155.378220, norm of subgrad 1027.018198 dualbound = 1530854.378220, lowerbound=1053155.378220, norm of subgrad 44.760898 stepsize= 1.000000
+dualbound = 1531262.313434, lowerbound=1051673.313434, norm of subgrad 1026.282765 dualbound = 1531262.313434, lowerbound=1051673.313434, norm of subgrad 44.619897 stepsize= 1.000000
+dualbound = 1531676.870070, lowerbound=1052157.870070, norm of subgrad 1026.511992 dualbound = 1531676.870070, lowerbound=1052157.870070, norm of subgrad 44.537138 stepsize= 1.000000
+dualbound = 1532076.903617, lowerbound=1050329.903617, norm of subgrad 1025.643166 dualbound = 1532076.903617, lowerbound=1050329.903617, norm of subgrad 44.877985 stepsize= 1.000000
+dualbound = 1532495.496806, lowerbound=1050516.496806, norm of subgrad 1025.730226 dualbound = 1532495.496806, lowerbound=1050516.496806, norm of subgrad 44.995480 stepsize= 1.000000
+dualbound = 1532888.110689, lowerbound=1052079.110689, norm of subgrad 1026.504316 dualbound = 1532888.110689, lowerbound=1052079.110689, norm of subgrad 44.995710 stepsize= 1.000000
+dualbound = 1533308.154447, lowerbound=1050669.154447, norm of subgrad 1025.784653 dualbound = 1533308.154447, lowerbound=1050669.154447, norm of subgrad 44.553830 stepsize= 1.000000
+dualbound = 1533724.850951, lowerbound=1049177.850951, norm of subgrad 1025.071632 dualbound = 1533724.850951, lowerbound=1049177.850951, norm of subgrad 44.840791 stepsize= 1.000000
+dualbound = 1534134.923056, lowerbound=1053822.923056, norm of subgrad 1027.297875 dualbound = 1534134.923056, lowerbound=1053822.923056, norm of subgrad 43.909818 stepsize= 1.000000
+dualbound = 1534544.786776, lowerbound=1050948.786776, norm of subgrad 1025.909249 dualbound = 1534544.786776, lowerbound=1050948.786776, norm of subgrad 44.168583 stepsize= 1.000000
+dualbound = 1534941.031253, lowerbound=1051057.031253, norm of subgrad 1025.971262 dualbound = 1534941.031253, lowerbound=1051057.031253, norm of subgrad 44.229453 stepsize= 1.000000
+dualbound = 1535344.080572, lowerbound=1050026.080572, norm of subgrad 1025.481877 dualbound = 1535344.080572, lowerbound=1050026.080572, norm of subgrad 44.609969 stepsize= 1.000000
+dualbound = 1535743.804168, lowerbound=1051769.804168, norm of subgrad 1026.366311 dualbound = 1535743.804168, lowerbound=1051769.804168, norm of subgrad 45.362138 stepsize= 1.000000
+dualbound = 1536162.481440, lowerbound=1052806.481440, norm of subgrad 1026.825439 dualbound = 1536162.481440, lowerbound=1052806.481440, norm of subgrad 44.527264 stepsize= 1.000000
+dualbound = 1536580.811499, lowerbound=1050908.811499, norm of subgrad 1025.915109 dualbound = 1536580.811499, lowerbound=1050908.811499, norm of subgrad 44.847855 stepsize= 1.000000
+dualbound = 1536968.242317, lowerbound=1051295.242317, norm of subgrad 1026.127303 dualbound = 1536968.242317, lowerbound=1051295.242317, norm of subgrad 45.049204 stepsize= 1.000000
+dualbound = 1537374.042589, lowerbound=1050834.042589, norm of subgrad 1025.900601 dualbound = 1537374.042589, lowerbound=1050834.042589, norm of subgrad 45.208409 stepsize= 1.000000
+dualbound = 1537786.805620, lowerbound=1051352.805620, norm of subgrad 1026.117832 dualbound = 1537786.805620, lowerbound=1051352.805620, norm of subgrad 44.472048 stepsize= 1.000000
+dualbound = 1538206.787491, lowerbound=1053427.787491, norm of subgrad 1027.142048 dualbound = 1538206.787491, lowerbound=1053427.787491, norm of subgrad 44.866267 stepsize= 1.000000
+dualbound = 1538582.082696, lowerbound=1051999.082696, norm of subgrad 1026.462899 dualbound = 1538582.082696, lowerbound=1051999.082696, norm of subgrad 44.747013 stepsize= 1.000000
+dualbound = 1539030.586091, lowerbound=1051289.586091, norm of subgrad 1026.085565 dualbound = 1539030.586091, lowerbound=1051289.586091, norm of subgrad 44.838637 stepsize= 1.000000
+dualbound = 1539422.631946, lowerbound=1051983.631946, norm of subgrad 1026.430042 dualbound = 1539422.631946, lowerbound=1051983.631946, norm of subgrad 44.351391 stepsize= 1.000000
+dualbound = 1539836.556836, lowerbound=1050274.556836, norm of subgrad 1025.606434 dualbound = 1539836.556836, lowerbound=1050274.556836, norm of subgrad 44.809875 stepsize= 1.000000
+dualbound = 1540247.413172, lowerbound=1053081.413172, norm of subgrad 1026.967094 dualbound = 1540247.413172, lowerbound=1053081.413172, norm of subgrad 44.619013 stepsize= 1.000000
+dualbound = 1540663.830448, lowerbound=1053383.830448, norm of subgrad 1027.127952 dualbound = 1540663.830448, lowerbound=1053383.830448, norm of subgrad 44.993525 stepsize= 1.000000
+dualbound = 1541035.591750, lowerbound=1049116.591750, norm of subgrad 1025.048580 dualbound = 1541035.591750, lowerbound=1049116.591750, norm of subgrad 44.494509 stepsize= 1.000000
+dualbound = 1541465.463558, lowerbound=1055565.463558, norm of subgrad 1028.173363 dualbound = 1541465.463558, lowerbound=1055565.463558, norm of subgrad 44.775795 stepsize= 1.000000
+dualbound = 1541844.553580, lowerbound=1049728.553580, norm of subgrad 1025.358744 dualbound = 1541844.553580, lowerbound=1049728.553580, norm of subgrad 44.845178 stepsize= 1.000000
+dualbound = 1542247.943790, lowerbound=1052819.943790, norm of subgrad 1026.860723 dualbound = 1542247.943790, lowerbound=1052819.943790, norm of subgrad 45.015444 stepsize= 1.000000
+dualbound = 1542668.593573, lowerbound=1051647.593573, norm of subgrad 1026.303851 dualbound = 1542668.593573, lowerbound=1051647.593573, norm of subgrad 45.526364 stepsize= 1.000000
+dualbound = 1543049.671221, lowerbound=1053083.671221, norm of subgrad 1026.963325 dualbound = 1543049.671221, lowerbound=1053083.671221, norm of subgrad 44.171005 stepsize= 1.000000
+dualbound = 1543485.073287, lowerbound=1050236.073287, norm of subgrad 1025.567196 dualbound = 1543485.073287, lowerbound=1050236.073287, norm of subgrad 44.580288 stepsize= 1.000000
+dualbound = 1543904.755801, lowerbound=1050945.755801, norm of subgrad 1025.937501 dualbound = 1543904.755801, lowerbound=1050945.755801, norm of subgrad 44.963124 stepsize= 1.000000
+dualbound = 1544273.053093, lowerbound=1053727.053093, norm of subgrad 1027.296478 dualbound = 1544273.053093, lowerbound=1053727.053093, norm of subgrad 44.489294 stepsize= 1.000000
+dualbound = 1544719.493143, lowerbound=1053580.493143, norm of subgrad 1027.222222 dualbound = 1544719.493143, lowerbound=1053580.493143, norm of subgrad 45.292826 stepsize= 1.000000
+dualbound = 1545095.591962, lowerbound=1052192.591962, norm of subgrad 1026.516728 dualbound = 1545095.591962, lowerbound=1052192.591962, norm of subgrad 43.818932 stepsize= 1.000000
+dualbound = 1545509.715716, lowerbound=1053020.715716, norm of subgrad 1026.934134 dualbound = 1545509.715716, lowerbound=1053020.715716, norm of subgrad 44.577166 stepsize= 1.000000
+dualbound = 1545915.832792, lowerbound=1050061.832792, norm of subgrad 1025.480781 dualbound = 1545915.832792, lowerbound=1050061.832792, norm of subgrad 44.216706 stepsize= 1.000000
+dualbound = 1546335.201214, lowerbound=1054632.201214, norm of subgrad 1027.715525 dualbound = 1546335.201214, lowerbound=1054632.201214, norm of subgrad 44.568693 stepsize= 1.000000
+dualbound = 1546723.479134, lowerbound=1052480.479134, norm of subgrad 1026.668632 dualbound = 1546723.479134, lowerbound=1052480.479134, norm of subgrad 44.229831 stepsize= 1.000000
+dualbound = 1547109.274309, lowerbound=1054252.274309, norm of subgrad 1027.557431 dualbound = 1547109.274309, lowerbound=1054252.274309, norm of subgrad 44.808428 stepsize= 1.000000
+dualbound = 1547528.310883, lowerbound=1050356.310883, norm of subgrad 1025.677489 dualbound = 1547528.310883, lowerbound=1050356.310883, norm of subgrad 45.574517 stepsize= 1.000000
+dualbound = 1547907.013589, lowerbound=1053521.013589, norm of subgrad 1027.197164 dualbound = 1547907.013589, lowerbound=1053521.013589, norm of subgrad 44.628497 stepsize= 1.000000
+dualbound = 1548350.517678, lowerbound=1052516.517678, norm of subgrad 1026.663293 dualbound = 1548350.517678, lowerbound=1052516.517678, norm of subgrad 44.322727 stepsize= 1.000000
+dualbound = 1548763.471565, lowerbound=1050339.471565, norm of subgrad 1025.633693 dualbound = 1548763.471565, lowerbound=1050339.471565, norm of subgrad 44.698477 stepsize= 1.000000
+dualbound = 1549164.068298, lowerbound=1055449.068298, norm of subgrad 1028.090982 dualbound = 1549164.068298, lowerbound=1055449.068298, norm of subgrad 43.847426 stepsize= 1.000000
+dualbound = 1549571.581002, lowerbound=1051087.581002, norm of subgrad 1025.992486 dualbound = 1549571.581002, lowerbound=1051087.581002, norm of subgrad 44.502952 stepsize= 1.000000
+dualbound = 1549973.524159, lowerbound=1053259.524159, norm of subgrad 1027.072307 dualbound = 1549973.524159, lowerbound=1053259.524159, norm of subgrad 44.943778 stepsize= 1.000000
+dualbound = 1550349.555569, lowerbound=1053649.555569, norm of subgrad 1027.254864 dualbound = 1550349.555569, lowerbound=1053649.555569, norm of subgrad 44.486306 stepsize= 1.000000
+dualbound = 1550761.524456, lowerbound=1052817.524456, norm of subgrad 1026.851267 dualbound = 1550761.524456, lowerbound=1052817.524456, norm of subgrad 44.921809 stepsize= 1.000000
+dualbound = 1551168.335418, lowerbound=1050903.335418, norm of subgrad 1025.910978 dualbound = 1551168.335418, lowerbound=1050903.335418, norm of subgrad 44.685691 stepsize= 1.000000
+dualbound = 1551575.124987, lowerbound=1053647.124987, norm of subgrad 1027.250274 dualbound = 1551575.124987, lowerbound=1053647.124987, norm of subgrad 44.752537 stepsize= 1.000000
+dualbound = 1551983.902505, lowerbound=1053110.902505, norm of subgrad 1026.997031 dualbound = 1551983.902505, lowerbound=1053110.902505, norm of subgrad 44.953059 stepsize= 1.000000
+dualbound = 1552357.352603, lowerbound=1052029.352603, norm of subgrad 1026.507843 dualbound = 1552357.352603, lowerbound=1052029.352603, norm of subgrad 45.414206 stepsize= 1.000000
+dualbound = 1552750.485948, lowerbound=1054764.485948, norm of subgrad 1027.836313 dualbound = 1552750.485948, lowerbound=1054764.485948, norm of subgrad 45.564606 stepsize= 1.000000
+dualbound = 1553158.293950, lowerbound=1051452.293950, norm of subgrad 1026.216495 dualbound = 1553158.293950, lowerbound=1051452.293950, norm of subgrad 45.561036 stepsize= 1.000000
+dualbound = 1553567.728851, lowerbound=1052203.728851, norm of subgrad 1026.535303 dualbound = 1553567.728851, lowerbound=1052203.728851, norm of subgrad 44.502077 stepsize= 1.000000
+dualbound = 1553994.729010, lowerbound=1053566.729010, norm of subgrad 1027.179015 dualbound = 1553994.729010, lowerbound=1053566.729010, norm of subgrad 44.237995 stepsize= 1.000000
+dualbound = 1554380.941114, lowerbound=1054314.941114, norm of subgrad 1027.578192 dualbound = 1554380.941114, lowerbound=1054314.941114, norm of subgrad 44.589372 stepsize= 1.000000
+dualbound = 1554781.933165, lowerbound=1052378.933165, norm of subgrad 1026.636222 dualbound = 1554781.933165, lowerbound=1052378.933165, norm of subgrad 44.765970 stepsize= 1.000000
+dualbound = 1555191.238275, lowerbound=1056868.238275, norm of subgrad 1028.837324 dualbound = 1555191.238275, lowerbound=1056868.238275, norm of subgrad 45.247156 stepsize= 1.000000
+dualbound = 1555579.687433, lowerbound=1052968.687433, norm of subgrad 1026.943858 dualbound = 1555579.687433, lowerbound=1052968.687433, norm of subgrad 45.093782 stepsize= 1.000000
+dualbound = 1555993.084052, lowerbound=1050346.084052, norm of subgrad 1025.616441 dualbound = 1555993.084052, lowerbound=1050346.084052, norm of subgrad 44.231172 stepsize= 1.000000
+dualbound = 1556417.762789, lowerbound=1052287.762789, norm of subgrad 1026.559186 dualbound = 1556417.762789, lowerbound=1052287.762789, norm of subgrad 44.279552 stepsize= 1.000000
+dualbound = 1556801.022949, lowerbound=1053465.022949, norm of subgrad 1027.142163 dualbound = 1556801.022949, lowerbound=1053465.022949, norm of subgrad 44.037032 stepsize= 1.000000
+dualbound = 1557220.899274, lowerbound=1053132.899274, norm of subgrad 1026.979990 dualbound = 1557220.899274, lowerbound=1053132.899274, norm of subgrad 44.439581 stepsize= 1.000000
+dualbound = 1557611.414190, lowerbound=1052548.414190, norm of subgrad 1026.719735 dualbound = 1557611.414190, lowerbound=1052548.414190, norm of subgrad 44.671187 stepsize= 1.000000
+dualbound = 1558005.263828, lowerbound=1055755.263828, norm of subgrad 1028.296292 dualbound = 1558005.263828, lowerbound=1055755.263828, norm of subgrad 45.076043 stepsize= 1.000000
+dualbound = 1558409.884959, lowerbound=1051297.884959, norm of subgrad 1026.121282 dualbound = 1558409.884959, lowerbound=1051297.884959, norm of subgrad 45.073508 stepsize= 1.000000
+dualbound = 1558825.178251, lowerbound=1056016.178251, norm of subgrad 1028.385229 dualbound = 1558825.178251, lowerbound=1056016.178251, norm of subgrad 44.444272 stepsize= 1.000000
+dualbound = 1559246.800077, lowerbound=1055846.800077, norm of subgrad 1028.278075 dualbound = 1559246.800077, lowerbound=1055846.800077, norm of subgrad 43.938842 stepsize= 1.000000
+dualbound = 1559640.379672, lowerbound=1050846.379672, norm of subgrad 1025.854951 dualbound = 1559640.379672, lowerbound=1050846.379672, norm of subgrad 43.881427 stepsize= 1.000000
+dualbound = 1560025.442153, lowerbound=1055752.442153, norm of subgrad 1028.262341 dualbound = 1560025.442153, lowerbound=1055752.442153, norm of subgrad 44.227395 stepsize= 1.000000
+dualbound = 1560444.483216, lowerbound=1053696.483216, norm of subgrad 1027.263103 dualbound = 1560444.483216, lowerbound=1053696.483216, norm of subgrad 44.632287 stepsize= 1.000000
+dualbound = 1560822.559520, lowerbound=1055210.559520, norm of subgrad 1028.045505 dualbound = 1560822.559520, lowerbound=1055210.559520, norm of subgrad 45.222520 stepsize= 1.000000
+dualbound = 1561194.588728, lowerbound=1052335.588728, norm of subgrad 1026.617060 dualbound = 1561194.588728, lowerbound=1052335.588728, norm of subgrad 44.486281 stepsize= 1.000000
+dualbound = 1561621.809978, lowerbound=1053383.809978, norm of subgrad 1027.133784 dualbound = 1561621.809978, lowerbound=1053383.809978, norm of subgrad 45.246229 stepsize= 1.000000
+dualbound = 1562022.440308, lowerbound=1053525.440308, norm of subgrad 1027.227550 dualbound = 1562022.440308, lowerbound=1053525.440308, norm of subgrad 45.515166 stepsize= 1.000000
+dualbound = 1562425.012093, lowerbound=1056428.012093, norm of subgrad 1028.608775 dualbound = 1562425.012093, lowerbound=1056428.012093, norm of subgrad 44.839400 stepsize= 1.000000
+dualbound = 1562842.022257, lowerbound=1051694.022257, norm of subgrad 1026.305034 dualbound = 1562842.022257, lowerbound=1051694.022257, norm of subgrad 45.000113 stepsize= 1.000000
+dualbound = 1563243.444272, lowerbound=1055284.444272, norm of subgrad 1028.051771 dualbound = 1563243.444272, lowerbound=1055284.444272, norm of subgrad 44.804263 stepsize= 1.000000
+dualbound = 1563653.242553, lowerbound=1053919.242553, norm of subgrad 1027.370061 dualbound = 1563653.242553, lowerbound=1053919.242553, norm of subgrad 44.494924 stepsize= 1.000000
+dualbound = 1564019.529024, lowerbound=1056287.529024, norm of subgrad 1028.538540 dualbound = 1564019.529024, lowerbound=1056287.529024, norm of subgrad 44.387909 stepsize= 1.000000
+dualbound = 1564438.545589, lowerbound=1053378.545589, norm of subgrad 1027.141444 dualbound = 1564438.545589, lowerbound=1053378.545589, norm of subgrad 45.387405 stepsize= 1.000000
+dualbound = 1564839.238412, lowerbound=1052774.238412, norm of subgrad 1026.845285 dualbound = 1564839.238412, lowerbound=1052774.238412, norm of subgrad 45.140811 stepsize= 1.000000
+dualbound = 1565231.223830, lowerbound=1054513.223830, norm of subgrad 1027.668830 dualbound = 1565231.223830, lowerbound=1054513.223830, norm of subgrad 44.519495 stepsize= 1.000000
+dualbound = 1565660.851182, lowerbound=1054663.851182, norm of subgrad 1027.745032 dualbound = 1565660.851182, lowerbound=1054663.851182, norm of subgrad 45.006970 stepsize= 1.000000
+dualbound = 1566051.845006, lowerbound=1052482.845006, norm of subgrad 1026.688777 dualbound = 1566051.845006, lowerbound=1052482.845006, norm of subgrad 44.698924 stepsize= 1.000000
+dualbound = 1566452.761808, lowerbound=1056505.761808, norm of subgrad 1028.611570 dualbound = 1566452.761808, lowerbound=1056505.761808, norm of subgrad 44.010417 stepsize= 1.000000
+dualbound = 1566858.833212, lowerbound=1052264.833212, norm of subgrad 1026.598672 dualbound = 1566858.833212, lowerbound=1052264.833212, norm of subgrad 45.233521 stepsize= 1.000000
+dualbound = 1567248.207751, lowerbound=1054801.207751, norm of subgrad 1027.817205 dualbound = 1567248.207751, lowerbound=1054801.207751, norm of subgrad 44.680807 stepsize= 1.000000
+dualbound = 1567653.734039, lowerbound=1052606.734039, norm of subgrad 1026.759823 dualbound = 1567653.734039, lowerbound=1052606.734039, norm of subgrad 45.105723 stepsize= 1.000000
+dualbound = 1568042.228585, lowerbound=1056359.228585, norm of subgrad 1028.598672 dualbound = 1568042.228585, lowerbound=1056359.228585, norm of subgrad 45.216087 stepsize= 1.000000
+dualbound = 1568457.107779, lowerbound=1054554.107779, norm of subgrad 1027.692613 dualbound = 1568457.107779, lowerbound=1054554.107779, norm of subgrad 44.865122 stepsize= 1.000000
+dualbound = 1568875.418481, lowerbound=1054233.418481, norm of subgrad 1027.526359 dualbound = 1568875.418481, lowerbound=1054233.418481, norm of subgrad 44.668901 stepsize= 1.000000
+dualbound = 1569284.085092, lowerbound=1053236.085092, norm of subgrad 1027.039476 dualbound = 1569284.085092, lowerbound=1053236.085092, norm of subgrad 44.527145 stepsize= 1.000000
+dualbound = 1569655.494632, lowerbound=1055627.494632, norm of subgrad 1028.217630 dualbound = 1569655.494632, lowerbound=1055627.494632, norm of subgrad 44.445580 stepsize= 1.000000
+dualbound = 1570054.363289, lowerbound=1054987.363289, norm of subgrad 1027.920893 dualbound = 1570054.363289, lowerbound=1054987.363289, norm of subgrad 45.087345 stepsize= 1.000000
+dualbound = 1570466.941073, lowerbound=1055752.941073, norm of subgrad 1028.261125 dualbound = 1570466.941073, lowerbound=1055752.941073, norm of subgrad 44.503683 stepsize= 1.000000
+dualbound = 1570851.404833, lowerbound=1054438.404833, norm of subgrad 1027.644591 dualbound = 1570851.404833, lowerbound=1054438.404833, norm of subgrad 44.715364 stepsize= 1.000000
+dualbound = 1571282.320216, lowerbound=1054405.320216, norm of subgrad 1027.632386 dualbound = 1571282.320216, lowerbound=1054405.320216, norm of subgrad 45.320143 stepsize= 1.000000
+dualbound = 1571631.183652, lowerbound=1054812.183652, norm of subgrad 1027.820599 dualbound = 1571631.183652, lowerbound=1054812.183652, norm of subgrad 44.179899 stepsize= 1.000000
+dualbound = 1572056.585563, lowerbound=1054355.585563, norm of subgrad 1027.629596 dualbound = 1572056.585563, lowerbound=1054355.585563, norm of subgrad 45.742780 stepsize= 1.000000
+dualbound = 1572432.340949, lowerbound=1053516.340949, norm of subgrad 1027.218254 dualbound = 1572432.340949, lowerbound=1053516.340949, norm of subgrad 45.130426 stepsize= 1.000000
+dualbound = 1572850.232790, lowerbound=1055764.232790, norm of subgrad 1028.315726 dualbound = 1572850.232790, lowerbound=1055764.232790, norm of subgrad 45.682511 stepsize= 1.000000
+dualbound = 1573238.711490, lowerbound=1053937.711490, norm of subgrad 1027.407276 dualbound = 1573238.711490, lowerbound=1053937.711490, norm of subgrad 44.905219 stepsize= 1.000000
+dualbound = 1573675.275338, lowerbound=1056009.275338, norm of subgrad 1028.411044 dualbound = 1573675.275338, lowerbound=1056009.275338, norm of subgrad 45.349353 stepsize= 1.000000
+dualbound = 1574043.218910, lowerbound=1053858.218910, norm of subgrad 1027.354476 dualbound = 1574043.218910, lowerbound=1053858.218910, norm of subgrad 44.350238 stepsize= 1.000000
+dualbound = 1574479.094103, lowerbound=1055062.094103, norm of subgrad 1027.926600 dualbound = 1574479.094103, lowerbound=1055062.094103, norm of subgrad 44.798161 stepsize= 1.000000
+dualbound = 1574870.039177, lowerbound=1056233.039177, norm of subgrad 1028.525663 dualbound = 1574870.039177, lowerbound=1056233.039177, norm of subgrad 44.977162 stepsize= 1.000000
+dualbound = 1575262.115172, lowerbound=1055045.115172, norm of subgrad 1027.942661 dualbound = 1575262.115172, lowerbound=1055045.115172, norm of subgrad 44.867315 stepsize= 1.000000
+dualbound = 1575662.438411, lowerbound=1056041.438411, norm of subgrad 1028.427653 dualbound = 1575662.438411, lowerbound=1056041.438411, norm of subgrad 44.970248 stepsize= 1.000000
+dualbound = 1576036.947395, lowerbound=1052179.947395, norm of subgrad 1026.551483 dualbound = 1576036.947395, lowerbound=1052179.947395, norm of subgrad 44.749402 stepsize= 1.000000
+dualbound = 1576467.736321, lowerbound=1057132.736321, norm of subgrad 1028.934758 dualbound = 1576467.736321, lowerbound=1057132.736321, norm of subgrad 44.774869 stepsize= 1.000000
+dualbound = 1576865.903150, lowerbound=1053179.903150, norm of subgrad 1027.028677 dualbound = 1576865.903150, lowerbound=1053179.903150, norm of subgrad 44.790254 stepsize= 1.000000
+dualbound = 1577236.152332, lowerbound=1057085.152332, norm of subgrad 1028.917466 dualbound = 1577236.152332, lowerbound=1057085.152332, norm of subgrad 44.229506 stepsize= 1.000000
+dualbound = 1577653.765047, lowerbound=1054850.765047, norm of subgrad 1027.824774 dualbound = 1577653.765047, lowerbound=1054850.765047, norm of subgrad 44.616283 stepsize= 1.000000
+dualbound = 1578046.794834, lowerbound=1055674.794834, norm of subgrad 1028.246952 dualbound = 1578046.794834, lowerbound=1055674.794834, norm of subgrad 44.833356 stepsize= 1.000000
+dualbound = 1578423.688409, lowerbound=1055753.688409, norm of subgrad 1028.317893 dualbound = 1578423.688409, lowerbound=1055753.688409, norm of subgrad 45.397066 stepsize= 1.000000
+dualbound = 1578796.957993, lowerbound=1055633.957993, norm of subgrad 1028.247518 dualbound = 1578796.957993, lowerbound=1055633.957993, norm of subgrad 45.080701 stepsize= 1.000000
+dualbound = 1579235.424335, lowerbound=1055718.424335, norm of subgrad 1028.253094 dualbound = 1579235.424335, lowerbound=1055718.424335, norm of subgrad 44.994070 stepsize= 1.000000
+dualbound = 1579618.085372, lowerbound=1052240.085372, norm of subgrad 1026.565675 dualbound = 1579618.085372, lowerbound=1052240.085372, norm of subgrad 44.493382 stepsize= 1.000000
+dualbound = 1580032.000340, lowerbound=1057360.000340, norm of subgrad 1029.022838 dualbound = 1580032.000340, lowerbound=1057360.000340, norm of subgrad 44.067164 stepsize= 1.000000
+dualbound = 1580419.292594, lowerbound=1055741.292594, norm of subgrad 1028.265186 dualbound = 1580419.292594, lowerbound=1055741.292594, norm of subgrad 44.444260 stepsize= 1.000000
+dualbound = 1580813.938645, lowerbound=1058355.938645, norm of subgrad 1029.550843 dualbound = 1580813.938645, lowerbound=1058355.938645, norm of subgrad 44.873668 stepsize= 1.000000
+dualbound = 1581198.517161, lowerbound=1052951.517161, norm of subgrad 1026.930629 dualbound = 1581198.517161, lowerbound=1052951.517161, norm of subgrad 44.939721 stepsize= 1.000000
+dualbound = 1581583.598207, lowerbound=1057505.598207, norm of subgrad 1029.113501 dualbound = 1581583.598207, lowerbound=1057505.598207, norm of subgrad 44.204989 stepsize= 1.000000
+dualbound = 1582008.380571, lowerbound=1053765.380571, norm of subgrad 1027.321946 dualbound = 1582008.380571, lowerbound=1053765.380571, norm of subgrad 45.274522 stepsize= 1.000000
+dualbound = 1582389.773645, lowerbound=1055647.773645, norm of subgrad 1028.222628 dualbound = 1582389.773645, lowerbound=1055647.773645, norm of subgrad 44.445394 stepsize= 1.000000
+dualbound = 1582803.271501, lowerbound=1056413.271501, norm of subgrad 1028.606471 dualbound = 1582803.271501, lowerbound=1056413.271501, norm of subgrad 45.072141 stepsize= 1.000000
+dualbound = 1583161.372145, lowerbound=1058337.372145, norm of subgrad 1029.573879 dualbound = 1583161.372145, lowerbound=1058337.372145, norm of subgrad 45.200671 stepsize= 1.000000
+dualbound = 1583559.202352, lowerbound=1055427.202352, norm of subgrad 1028.141139 dualbound = 1583559.202352, lowerbound=1055427.202352, norm of subgrad 45.219799 stepsize= 1.000000
+dualbound = 1583953.874716, lowerbound=1058140.874716, norm of subgrad 1029.472134 dualbound = 1583953.874716, lowerbound=1058140.874716, norm of subgrad 45.460668 stepsize= 1.000000
+dualbound = 1584365.442208, lowerbound=1054511.442208, norm of subgrad 1027.683046 dualbound = 1584365.442208, lowerbound=1054511.442208, norm of subgrad 45.084005 stepsize= 1.000000
+dualbound = 1584756.500587, lowerbound=1055392.500587, norm of subgrad 1028.122318 dualbound = 1584756.500587, lowerbound=1055392.500587, norm of subgrad 45.100536 stepsize= 1.000000
+dualbound = 1585132.856520, lowerbound=1055785.856520, norm of subgrad 1028.283451 dualbound = 1585132.856520, lowerbound=1055785.856520, norm of subgrad 44.242015 stepsize= 1.000000
+dualbound = 1585556.950830, lowerbound=1057900.950830, norm of subgrad 1029.307510 dualbound = 1585556.950830, lowerbound=1057900.950830, norm of subgrad 44.688861 stepsize= 1.000000
+dualbound = 1585954.062196, lowerbound=1052793.062196, norm of subgrad 1026.821339 dualbound = 1585954.062196, lowerbound=1052793.062196, norm of subgrad 44.340854 stepsize= 1.000000
+dualbound = 1586332.558612, lowerbound=1060229.558612, norm of subgrad 1030.442409 dualbound = 1586332.558612, lowerbound=1060229.558612, norm of subgrad 44.277493 stepsize= 1.000000
+dualbound = 1586728.951612, lowerbound=1054769.951612, norm of subgrad 1027.806865 dualbound = 1586728.951612, lowerbound=1054769.951612, norm of subgrad 44.870848 stepsize= 1.000000
+dualbound = 1587113.116211, lowerbound=1056661.116211, norm of subgrad 1028.743951 dualbound = 1587113.116211, lowerbound=1056661.116211, norm of subgrad 45.134960 stepsize= 1.000000
+dualbound = 1587506.386207, lowerbound=1057945.386207, norm of subgrad 1029.343668 dualbound = 1587506.386207, lowerbound=1057945.386207, norm of subgrad 44.679637 stepsize= 1.000000
+dualbound = 1587917.731493, lowerbound=1054618.731493, norm of subgrad 1027.692430 dualbound = 1587917.731493, lowerbound=1054618.731493, norm of subgrad 44.094731 stepsize= 1.000000
+dualbound = 1588311.705239, lowerbound=1058895.705239, norm of subgrad 1029.777017 dualbound = 1588311.705239, lowerbound=1058895.705239, norm of subgrad 44.033780 stepsize= 1.000000
+dualbound = 1588689.901202, lowerbound=1054497.901202, norm of subgrad 1027.683269 dualbound = 1588689.901202, lowerbound=1054497.901202, norm of subgrad 44.868652 stepsize= 1.000000
+dualbound = 1589036.190193, lowerbound=1056737.190193, norm of subgrad 1028.788214 dualbound = 1589036.190193, lowerbound=1056737.190193, norm of subgrad 44.880831 stepsize= 1.000000
+dualbound = 1589457.098126, lowerbound=1053233.098126, norm of subgrad 1027.040456 dualbound = 1589457.098126, lowerbound=1053233.098126, norm of subgrad 44.720330 stepsize= 1.000000
+dualbound = 1589873.649961, lowerbound=1056306.649961, norm of subgrad 1028.527418 dualbound = 1589873.649961, lowerbound=1056306.649961, norm of subgrad 44.480915 stepsize= 1.000000
+dualbound = 1590253.707687, lowerbound=1057458.707687, norm of subgrad 1029.125701 dualbound = 1590253.707687, lowerbound=1057458.707687, norm of subgrad 44.956176 stepsize= 1.000000
+dualbound = 1590659.486903, lowerbound=1056295.486903, norm of subgrad 1028.526853 dualbound = 1590659.486903, lowerbound=1056295.486903, norm of subgrad 44.472230 stepsize= 1.000000
+dualbound = 1591003.907912, lowerbound=1059326.907912, norm of subgrad 1030.029081 dualbound = 1591003.907912, lowerbound=1059326.907912, norm of subgrad 44.468202 stepsize= 1.000000
+dualbound = 1591447.556119, lowerbound=1055824.556119, norm of subgrad 1028.301783 dualbound = 1591447.556119, lowerbound=1055824.556119, norm of subgrad 44.984978 stepsize= 1.000000
+dualbound = 1591834.249388, lowerbound=1056059.249388, norm of subgrad 1028.436799 dualbound = 1591834.249388, lowerbound=1056059.249388, norm of subgrad 44.829603 stepsize= 1.000000
+dualbound = 1592204.014672, lowerbound=1057884.014672, norm of subgrad 1029.319200 dualbound = 1592204.014672, lowerbound=1057884.014672, norm of subgrad 44.539480 stepsize= 1.000000
+dualbound = 1592606.051033, lowerbound=1054435.051033, norm of subgrad 1027.659502 dualbound = 1592606.051033, lowerbound=1054435.051033, norm of subgrad 45.288369 stepsize= 1.000000
+dualbound = 1592962.875331, lowerbound=1055995.875331, norm of subgrad 1028.451688 dualbound = 1592962.875331, lowerbound=1055995.875331, norm of subgrad 45.539261 stepsize= 1.000000
+dualbound = 1593384.748651, lowerbound=1056848.748651, norm of subgrad 1028.805982 dualbound = 1593384.748651, lowerbound=1056848.748651, norm of subgrad 44.887340 stepsize= 1.000000
+dualbound = 1593793.919556, lowerbound=1057140.919555, norm of subgrad 1028.944080 dualbound = 1593793.919556, lowerbound=1057140.919555, norm of subgrad 44.656141 stepsize= 1.000000
+dualbound = 1594179.748865, lowerbound=1056812.748865, norm of subgrad 1028.809384 dualbound = 1594179.748865, lowerbound=1056812.748865, norm of subgrad 44.964756 stepsize= 1.000000
+dualbound = 1594571.557091, lowerbound=1057786.557091, norm of subgrad 1029.258256 dualbound = 1594571.557091, lowerbound=1057786.557091, norm of subgrad 44.472556 stepsize= 1.000000
+dualbound = 1594966.947400, lowerbound=1057784.947400, norm of subgrad 1029.273019 dualbound = 1594966.947400, lowerbound=1057784.947400, norm of subgrad 44.870818 stepsize= 1.000000
+dualbound = 1595334.110491, lowerbound=1054935.110491, norm of subgrad 1027.920284 dualbound = 1595334.110491, lowerbound=1054935.110491, norm of subgrad 45.300807 stepsize= 1.000000
+dualbound = 1595719.261800, lowerbound=1057707.261800, norm of subgrad 1029.246939 dualbound = 1595719.261800, lowerbound=1057707.261800, norm of subgrad 45.023897 stepsize= 1.000000
+dualbound = 1596134.311008, lowerbound=1053968.311008, norm of subgrad 1027.407081 dualbound = 1596134.311008, lowerbound=1053968.311008, norm of subgrad 44.855872 stepsize= 1.000000
+dualbound = 1596527.009015, lowerbound=1058587.009015, norm of subgrad 1029.662570 dualbound = 1596527.009015, lowerbound=1058587.009015, norm of subgrad 44.840807 stepsize= 1.000000
+dualbound = 1596920.040562, lowerbound=1056068.040562, norm of subgrad 1028.404609 dualbound = 1596920.040562, lowerbound=1056068.040562, norm of subgrad 44.057140 stepsize= 1.000000
+dualbound = 1597301.290034, lowerbound=1058922.290034, norm of subgrad 1029.835565 dualbound = 1597301.290034, lowerbound=1058922.290034, norm of subgrad 44.947185 stepsize= 1.000000
+dualbound = 1597714.093329, lowerbound=1058351.093329, norm of subgrad 1029.526150 dualbound = 1597714.093329, lowerbound=1058351.093329, norm of subgrad 44.562353 stepsize= 1.000000
+dualbound = 1598088.422771, lowerbound=1058297.422771, norm of subgrad 1029.516597 dualbound = 1598088.422771, lowerbound=1058297.422771, norm of subgrad 44.512127 stepsize= 1.000000
+dualbound = 1598476.109614, lowerbound=1058186.109614, norm of subgrad 1029.422707 dualbound = 1598476.109614, lowerbound=1058186.109614, norm of subgrad 43.734275 stepsize= 1.000000
+dualbound = 1598858.667114, lowerbound=1057646.667114, norm of subgrad 1029.193698 dualbound = 1598858.667114, lowerbound=1057646.667114, norm of subgrad 44.447244 stepsize= 1.000000
+dualbound = 1599251.097803, lowerbound=1059347.097803, norm of subgrad 1030.001989 dualbound = 1599251.097803, lowerbound=1059347.097803, norm of subgrad 44.152358 stepsize= 1.000000
+dualbound = 1599636.296633, lowerbound=1059830.296633, norm of subgrad 1030.274865 dualbound = 1599636.296633, lowerbound=1059830.296633, norm of subgrad 44.957745 stepsize= 1.000000
+dualbound = 1599996.754743, lowerbound=1057265.754743, norm of subgrad 1029.031950 dualbound = 1599996.754743, lowerbound=1057265.754743, norm of subgrad 44.737659 stepsize= 1.000000
+dualbound = 1600407.072086, lowerbound=1060081.072085, norm of subgrad 1030.402384 dualbound = 1600407.072086, lowerbound=1060081.072085, norm of subgrad 45.368682 stepsize= 1.000000
+dualbound = 1600778.394951, lowerbound=1055393.394951, norm of subgrad 1028.093087 dualbound = 1600778.394951, lowerbound=1055393.394951, norm of subgrad 44.196412 stepsize= 1.000000
+dualbound = 1601170.235505, lowerbound=1060158.235505, norm of subgrad 1030.395669 dualbound = 1601170.235505, lowerbound=1060158.235505, norm of subgrad 44.145674 stepsize= 1.000000
+dualbound = 1601592.386818, lowerbound=1057772.386818, norm of subgrad 1029.238256 dualbound = 1601592.386818, lowerbound=1057772.386818, norm of subgrad 44.510126 stepsize= 1.000000
+dualbound = 1601940.965971, lowerbound=1061244.965971, norm of subgrad 1030.962640 dualbound = 1601940.965971, lowerbound=1061244.965971, norm of subgrad 44.582274 stepsize= 1.000000
+dualbound = 1602318.577326, lowerbound=1058299.577326, norm of subgrad 1029.538526 dualbound = 1602318.577326, lowerbound=1058299.577326, norm of subgrad 45.029006 stepsize= 1.000000
+dualbound = 1602700.217348, lowerbound=1059302.217348, norm of subgrad 1030.053017 dualbound = 1602700.217348, lowerbound=1059302.217348, norm of subgrad 45.701641 stepsize= 1.000000
+dualbound = 1603059.723011, lowerbound=1057395.723011, norm of subgrad 1029.126680 dualbound = 1603059.723011, lowerbound=1057395.723011, norm of subgrad 45.447835 stepsize= 1.000000
+dualbound = 1603492.817472, lowerbound=1058716.817472, norm of subgrad 1029.724632 dualbound = 1603492.817472, lowerbound=1058716.817472, norm of subgrad 45.266925 stepsize= 1.000000
+dualbound = 1603895.561217, lowerbound=1057964.561217, norm of subgrad 1029.387955 dualbound = 1603895.561217, lowerbound=1057964.561217, norm of subgrad 45.582274 stepsize= 1.000000
+dualbound = 1604239.354370, lowerbound=1060613.354370, norm of subgrad 1030.669857 dualbound = 1604239.354370, lowerbound=1060613.354370, norm of subgrad 44.841868 stepsize= 1.000000
+dualbound = 1604652.354190, lowerbound=1056786.354190, norm of subgrad 1028.771284 dualbound = 1604652.354190, lowerbound=1056786.354190, norm of subgrad 44.687804 stepsize= 1.000000
+dualbound = 1605048.583572, lowerbound=1060044.583572, norm of subgrad 1030.354591 dualbound = 1605048.583572, lowerbound=1060044.583572, norm of subgrad 44.522235 stepsize= 1.000000
+dualbound = 1605420.406618, lowerbound=1058549.406618, norm of subgrad 1029.633142 dualbound = 1605420.406618, lowerbound=1058549.406618, norm of subgrad 44.348879 stepsize= 1.000000
+dualbound = 1605822.149544, lowerbound=1060255.149544, norm of subgrad 1030.461620 dualbound = 1605822.149544, lowerbound=1060255.149544, norm of subgrad 44.696118 stepsize= 1.000000
+dualbound = 1606179.818485, lowerbound=1059321.818485, norm of subgrad 1030.032921 dualbound = 1606179.818485, lowerbound=1059321.818485, norm of subgrad 44.762361 stepsize= 1.000000
+dualbound = 1606581.716096, lowerbound=1061429.716096, norm of subgrad 1031.041569 dualbound = 1606581.716096, lowerbound=1061429.716096, norm of subgrad 44.932145 stepsize= 1.000000
+dualbound = 1606972.715351, lowerbound=1057324.715351, norm of subgrad 1029.034361 dualbound = 1606972.715351, lowerbound=1057324.715351, norm of subgrad 44.474704 stepsize= 1.000000
+dualbound = 1607360.944898, lowerbound=1059173.944898, norm of subgrad 1029.932495 dualbound = 1607360.944898, lowerbound=1059173.944898, norm of subgrad 44.443555 stepsize= 1.000000
+dualbound = 1607751.701882, lowerbound=1058851.701882, norm of subgrad 1029.801778 dualbound = 1607751.701882, lowerbound=1058851.701882, norm of subgrad 45.063921 stepsize= 1.000000
+dualbound = 1608134.990378, lowerbound=1060501.990378, norm of subgrad 1030.601276 dualbound = 1608134.990378, lowerbound=1060501.990378, norm of subgrad 44.947619 stepsize= 1.000000
+dualbound = 1608500.679281, lowerbound=1060321.679281, norm of subgrad 1030.511853 dualbound = 1608500.679281, lowerbound=1060321.679281, norm of subgrad 44.706699 stepsize= 1.000000
+dualbound = 1608903.477258, lowerbound=1056844.477258, norm of subgrad 1028.823346 dualbound = 1608903.477258, lowerbound=1056844.477258, norm of subgrad 45.119818 stepsize= 1.000000
+dualbound = 1609282.023635, lowerbound=1059812.023635, norm of subgrad 1030.262114 dualbound = 1609282.023635, lowerbound=1059812.023635, norm of subgrad 44.794490 stepsize= 1.000000
+dualbound = 1609695.677642, lowerbound=1060211.677642, norm of subgrad 1030.413353 dualbound = 1609695.677642, lowerbound=1060211.677642, norm of subgrad 44.200158 stepsize= 1.000000
+dualbound = 1610075.020899, lowerbound=1060160.020899, norm of subgrad 1030.428562 dualbound = 1610075.020899, lowerbound=1060160.020899, norm of subgrad 44.747550 stepsize= 1.000000
+dualbound = 1610460.920750, lowerbound=1056193.920750, norm of subgrad 1028.477963 dualbound = 1610460.920750, lowerbound=1056193.920750, norm of subgrad 44.259461 stepsize= 1.000000
+dualbound = 1610810.203122, lowerbound=1060823.203122, norm of subgrad 1030.818705 dualbound = 1610810.203122, lowerbound=1060823.203122, norm of subgrad 45.970451 stepsize= 1.000000
+dualbound = 1611175.427918, lowerbound=1061662.427918, norm of subgrad 1031.187872 dualbound = 1611175.427918, lowerbound=1061662.427918, norm of subgrad 45.290449 stepsize= 1.000000
+dualbound = 1611609.604786, lowerbound=1058079.604786, norm of subgrad 1029.405948 dualbound = 1611609.604786, lowerbound=1058079.604786, norm of subgrad 45.068580 stepsize= 1.000000
+dualbound = 1611990.903001, lowerbound=1059963.903001, norm of subgrad 1030.343100 dualbound = 1611990.903001, lowerbound=1059963.903001, norm of subgrad 44.992202 stepsize= 1.000000
+dualbound = 1612383.250058, lowerbound=1057371.250058, norm of subgrad 1029.056971 dualbound = 1612383.250058, lowerbound=1057371.250058, norm of subgrad 44.489853 stepsize= 1.000000
+dualbound = 1612774.843248, lowerbound=1062625.843248, norm of subgrad 1031.580265 dualbound = 1612774.843248, lowerbound=1062625.843248, norm of subgrad 43.858787 stepsize= 1.000000
+dualbound = 1613169.837795, lowerbound=1054692.837795, norm of subgrad 1027.747945 dualbound = 1613169.837795, lowerbound=1054692.837795, norm of subgrad 44.362085 stepsize= 1.000000
+dualbound = 1613544.061219, lowerbound=1060395.061219, norm of subgrad 1030.519801 dualbound = 1613544.061219, lowerbound=1060395.061219, norm of subgrad 44.161334 stepsize= 1.000000
+dualbound = 1613916.195064, lowerbound=1058178.195064, norm of subgrad 1029.469375 dualbound = 1613916.195064, lowerbound=1058178.195064, norm of subgrad 44.734035 stepsize= 1.000000
+dualbound = 1614286.047488, lowerbound=1063519.047488, norm of subgrad 1032.064943 dualbound = 1614286.047488, lowerbound=1063519.047488, norm of subgrad 44.820223 stepsize= 1.000000
+dualbound = 1614681.203455, lowerbound=1058386.203455, norm of subgrad 1029.550000 dualbound = 1614681.203455, lowerbound=1058386.203455, norm of subgrad 44.521410 stepsize= 1.000000
+dualbound = 1615077.375754, lowerbound=1058976.375754, norm of subgrad 1029.853085 dualbound = 1615077.375754, lowerbound=1058976.375754, norm of subgrad 44.912941 stepsize= 1.000000
+dualbound = 1615477.405808, lowerbound=1058386.405808, norm of subgrad 1029.562726 dualbound = 1615477.405808, lowerbound=1058386.405808, norm of subgrad 44.866803 stepsize= 1.000000
+dualbound = 1615841.328192, lowerbound=1062884.328192, norm of subgrad 1031.750613 dualbound = 1615841.328192, lowerbound=1062884.328192, norm of subgrad 44.597336 stepsize= 1.000000
+dualbound = 1616217.473572, lowerbound=1057994.473572, norm of subgrad 1029.380626 dualbound = 1616217.473572, lowerbound=1057994.473572, norm of subgrad 44.790014 stepsize= 1.000000
+dualbound = 1616603.970360, lowerbound=1060178.970360, norm of subgrad 1030.429022 dualbound = 1616603.970360, lowerbound=1060178.970360, norm of subgrad 44.626189 stepsize= 1.000000
+dualbound = 1617004.223588, lowerbound=1059374.223588, norm of subgrad 1030.026807 dualbound = 1617004.223588, lowerbound=1059374.223588, norm of subgrad 44.511271 stepsize= 1.000000
+dualbound = 1617368.019729, lowerbound=1061346.019729, norm of subgrad 1030.988370 dualbound = 1617368.019729, lowerbound=1061346.019729, norm of subgrad 44.213077 stepsize= 1.000000
+dualbound = 1617777.940331, lowerbound=1056096.940331, norm of subgrad 1028.405533 dualbound = 1617777.940331, lowerbound=1056096.940331, norm of subgrad 43.942242 stepsize= 1.000000
+dualbound = 1618139.977681, lowerbound=1061705.977681, norm of subgrad 1031.189593 dualbound = 1618139.977681, lowerbound=1061705.977681, norm of subgrad 44.811130 stepsize= 1.000000
+dualbound = 1618525.152645, lowerbound=1058139.152645, norm of subgrad 1029.461098 dualbound = 1618525.152645, lowerbound=1058139.152645, norm of subgrad 45.123995 stepsize= 1.000000
+dualbound = 1618901.908361, lowerbound=1061921.908361, norm of subgrad 1031.269077 dualbound = 1618901.908361, lowerbound=1061921.908361, norm of subgrad 44.393194 stepsize= 1.000000
+dualbound = 1619303.018315, lowerbound=1061724.018315, norm of subgrad 1031.201250 dualbound = 1619303.018315, lowerbound=1061724.018315, norm of subgrad 45.311256 stepsize= 1.000000
+dualbound = 1619669.050051, lowerbound=1057898.050051, norm of subgrad 1029.327475 dualbound = 1619669.050051, lowerbound=1057898.050051, norm of subgrad 44.531244 stepsize= 1.000000
+dualbound = 1620077.989537, lowerbound=1059712.989537, norm of subgrad 1030.185415 dualbound = 1620077.989537, lowerbound=1059712.989537, norm of subgrad 44.474032 stepsize= 1.000000
+dualbound = 1620460.606096, lowerbound=1060962.606096, norm of subgrad 1030.817931 dualbound = 1620460.606096, lowerbound=1060962.606096, norm of subgrad 44.784111 stepsize= 1.000000
+dualbound = 1620818.851466, lowerbound=1059654.851466, norm of subgrad 1030.170788 dualbound = 1620818.851466, lowerbound=1059654.851466, norm of subgrad 44.218157 stepsize= 1.000000
+dualbound = 1621215.515127, lowerbound=1059847.515127, norm of subgrad 1030.261867 dualbound = 1621215.515127, lowerbound=1059847.515127, norm of subgrad 44.594435 stepsize= 1.000000
+dualbound = 1621570.125337, lowerbound=1060890.125337, norm of subgrad 1030.783743 dualbound = 1621570.125337, lowerbound=1060890.125337, norm of subgrad 44.492811 stepsize= 1.000000
+dualbound = 1621985.566295, lowerbound=1057484.566295, norm of subgrad 1029.097452 dualbound = 1621985.566295, lowerbound=1057484.566295, norm of subgrad 44.412171 stepsize= 1.000000
+dualbound = 1622363.516959, lowerbound=1061358.516959, norm of subgrad 1031.005585 dualbound = 1622363.516959, lowerbound=1061358.516959, norm of subgrad 44.631275 stepsize= 1.000000
+dualbound = 1622741.240417, lowerbound=1058736.240417, norm of subgrad 1029.724837 dualbound = 1622741.240417, lowerbound=1058736.240417, norm of subgrad 44.437861 stepsize= 1.000000
+dualbound = 1623124.763218, lowerbound=1058512.763218, norm of subgrad 1029.622146 dualbound = 1623124.763218, lowerbound=1058512.763218, norm of subgrad 44.637684 stepsize= 1.000000
+dualbound = 1623504.686962, lowerbound=1062149.686962, norm of subgrad 1031.400837 dualbound = 1623504.686962, lowerbound=1062149.686962, norm of subgrad 44.921306 stepsize= 1.000000
+dualbound = 1623877.641483, lowerbound=1059953.641483, norm of subgrad 1030.369663 dualbound = 1623877.641483, lowerbound=1059953.641483, norm of subgrad 45.617480 stepsize= 1.000000
+dualbound = 1624242.237323, lowerbound=1060019.237323, norm of subgrad 1030.358305 dualbound = 1624242.237323, lowerbound=1060019.237323, norm of subgrad 44.537578 stepsize= 1.000000
+dualbound = 1624673.860805, lowerbound=1058590.860805, norm of subgrad 1029.628021 dualbound = 1624673.860805, lowerbound=1058590.860805, norm of subgrad 44.436736 stepsize= 1.000000
+dualbound = 1625061.906832, lowerbound=1062979.906832, norm of subgrad 1031.757194 dualbound = 1625061.906832, lowerbound=1062979.906832, norm of subgrad 43.943669 stepsize= 1.000000
+dualbound = 1625424.768503, lowerbound=1058489.768503, norm of subgrad 1029.627976 dualbound = 1625424.768503, lowerbound=1058489.768503, norm of subgrad 44.798010 stepsize= 1.000000
+dualbound = 1625774.264873, lowerbound=1062994.264873, norm of subgrad 1031.800012 dualbound = 1625774.264873, lowerbound=1062994.264873, norm of subgrad 44.345196 stepsize= 1.000000
+dualbound = 1626179.324177, lowerbound=1059358.324177, norm of subgrad 1030.030254 dualbound = 1626179.324177, lowerbound=1059358.324177, norm of subgrad 44.822531 stepsize= 1.000000
+dualbound = 1626560.511202, lowerbound=1061933.511202, norm of subgrad 1031.282459 dualbound = 1626560.511202, lowerbound=1061933.511202, norm of subgrad 44.622719 stepsize= 1.000000
+dualbound = 1626967.383417, lowerbound=1060120.383417, norm of subgrad 1030.396226 dualbound = 1626967.383417, lowerbound=1060120.383417, norm of subgrad 44.753460 stepsize= 1.000000
+dualbound = 1627294.895530, lowerbound=1059754.895530, norm of subgrad 1030.230506 dualbound = 1627294.895530, lowerbound=1059754.895530, norm of subgrad 44.130626 stepsize= 1.000000
+dualbound = 1627721.799014, lowerbound=1059802.799014, norm of subgrad 1030.258123 dualbound = 1627721.799014, lowerbound=1059802.799014, norm of subgrad 45.342072 stepsize= 1.000000
+dualbound = 1628062.310759, lowerbound=1061328.310759, norm of subgrad 1031.000151 dualbound = 1628062.310759, lowerbound=1061328.310759, norm of subgrad 44.424225 stepsize= 1.000000
+dualbound = 1628456.765276, lowerbound=1058169.765276, norm of subgrad 1029.451196 dualbound = 1628456.765276, lowerbound=1058169.765276, norm of subgrad 44.659316 stepsize= 1.000000
+dualbound = 1628869.284936, lowerbound=1062493.284936, norm of subgrad 1031.571755 dualbound = 1628869.284936, lowerbound=1062493.284936, norm of subgrad 45.381931 stepsize= 1.000000
+dualbound = 1629235.498985, lowerbound=1059176.498985, norm of subgrad 1029.918200 dualbound = 1629235.498985, lowerbound=1059176.498985, norm of subgrad 43.831656 stepsize= 1.000000
+dualbound = 1629629.283604, lowerbound=1061353.283604, norm of subgrad 1030.966189 dualbound = 1629629.283604, lowerbound=1061353.283604, norm of subgrad 43.952072 stepsize= 1.000000
+dualbound = 1630008.321356, lowerbound=1056377.321356, norm of subgrad 1028.558370 dualbound = 1630008.321356, lowerbound=1056377.321356, norm of subgrad 43.977696 stepsize= 1.000000
+dualbound = 1630376.975197, lowerbound=1064507.975197, norm of subgrad 1032.515847 dualbound = 1630376.975197, lowerbound=1064507.975197, norm of subgrad 44.154885 stepsize= 1.000000
+dualbound = 1630768.426956, lowerbound=1057663.426956, norm of subgrad 1029.203783 dualbound = 1630768.426956, lowerbound=1057663.426956, norm of subgrad 44.592059 stepsize= 1.000000
+dualbound = 1631159.412984, lowerbound=1062857.412984, norm of subgrad 1031.726908 dualbound = 1631159.412984, lowerbound=1062857.412984, norm of subgrad 44.654071 stepsize= 1.000000
+dualbound = 1631496.217071, lowerbound=1059969.217071, norm of subgrad 1030.363148 dualbound = 1631496.217071, lowerbound=1059969.217071, norm of subgrad 44.897707 stepsize= 1.000000
+dualbound = 1631893.275615, lowerbound=1060938.275615, norm of subgrad 1030.807584 dualbound = 1631893.275615, lowerbound=1060938.275615, norm of subgrad 44.978423 stepsize= 1.000000
+dualbound = 1632297.525805, lowerbound=1058083.525805, norm of subgrad 1029.406395 dualbound = 1632297.525805, lowerbound=1058083.525805, norm of subgrad 44.701792 stepsize= 1.000000
+dualbound = 1632659.133168, lowerbound=1063353.133168, norm of subgrad 1031.998611 dualbound = 1632659.133168, lowerbound=1063353.133168, norm of subgrad 45.051164 stepsize= 1.000000
+dualbound = 1633035.366498, lowerbound=1061707.366498, norm of subgrad 1031.184933 dualbound = 1633035.366498, lowerbound=1061707.366498, norm of subgrad 44.846776 stepsize= 1.000000
+dualbound = 1633414.964169, lowerbound=1059903.964169, norm of subgrad 1030.311101 dualbound = 1633414.964169, lowerbound=1059903.964169, norm of subgrad 44.906544 stepsize= 1.000000
+dualbound = 1633817.893984, lowerbound=1061600.893984, norm of subgrad 1031.113909 dualbound = 1633817.893984, lowerbound=1061600.893984, norm of subgrad 44.698208 stepsize= 1.000000
+dualbound = 1634189.301217, lowerbound=1060057.301217, norm of subgrad 1030.374350 dualbound = 1634189.301217, lowerbound=1060057.301217, norm of subgrad 44.557909 stepsize= 1.000000
+dualbound = 1634574.039138, lowerbound=1057796.039138, norm of subgrad 1029.268206 dualbound = 1634574.039138, lowerbound=1057796.039138, norm of subgrad 44.516715 stepsize= 1.000000
+dualbound = 1634949.808512, lowerbound=1064756.808512, norm of subgrad 1032.695409 dualbound = 1634949.808512, lowerbound=1064756.808512, norm of subgrad 45.593523 stepsize= 1.000000
+dualbound = 1635282.920536, lowerbound=1058014.920536, norm of subgrad 1029.392015 dualbound = 1635282.920536, lowerbound=1058014.920536, norm of subgrad 44.340862 stepsize= 1.000000
+dualbound = 1635721.276553, lowerbound=1063594.276553, norm of subgrad 1032.091700 dualbound = 1635721.276553, lowerbound=1063594.276553, norm of subgrad 45.358087 stepsize= 1.000000
+dualbound = 1636054.577377, lowerbound=1060435.577377, norm of subgrad 1030.581184 dualbound = 1636054.577377, lowerbound=1060435.577377, norm of subgrad 44.668790 stepsize= 1.000000
+dualbound = 1636451.657251, lowerbound=1061634.657251, norm of subgrad 1031.131251 dualbound = 1636451.657251, lowerbound=1061634.657251, norm of subgrad 44.655121 stepsize= 1.000000
+dualbound = 1636852.614784, lowerbound=1059775.614784, norm of subgrad 1030.216295 dualbound = 1636852.614784, lowerbound=1059775.614784, norm of subgrad 44.395467 stepsize= 1.000000
+dualbound = 1637222.080646, lowerbound=1059340.080646, norm of subgrad 1030.032563 dualbound = 1637222.080646, lowerbound=1059340.080646, norm of subgrad 44.681829 stepsize= 1.000000
+dualbound = 1637591.602912, lowerbound=1063327.602912, norm of subgrad 1031.967830 dualbound = 1637591.602912, lowerbound=1063327.602912, norm of subgrad 44.716018 stepsize= 1.000000
+dualbound = 1637984.075478, lowerbound=1057670.075478, norm of subgrad 1029.245391 dualbound = 1637984.075478, lowerbound=1057670.075478, norm of subgrad 45.480464 stepsize= 1.000000
+dualbound = 1638340.165466, lowerbound=1063114.165466, norm of subgrad 1031.823709 dualbound = 1638340.165466, lowerbound=1063114.165466, norm of subgrad 43.612957 stepsize= 1.000000
+dualbound = 1638785.463449, lowerbound=1064354.463449, norm of subgrad 1032.417291 dualbound = 1638785.463449, lowerbound=1064354.463449, norm of subgrad 44.455573 stepsize= 1.000000
+dualbound = 1639120.166151, lowerbound=1057344.166151, norm of subgrad 1029.061303 dualbound = 1639120.166151, lowerbound=1057344.166151, norm of subgrad 44.245934 stepsize= 1.000000
+dualbound = 1639516.163855, lowerbound=1063917.163855, norm of subgrad 1032.254408 dualbound = 1639516.163855, lowerbound=1063917.163855, norm of subgrad 45.033296 stepsize= 1.000000
+dualbound = 1639858.294857, lowerbound=1058701.294857, norm of subgrad 1029.736032 dualbound = 1639858.294857, lowerbound=1058701.294857, norm of subgrad 44.689272 stepsize= 1.000000
+dualbound = 1640260.877785, lowerbound=1063190.877785, norm of subgrad 1031.884624 dualbound = 1640260.877785, lowerbound=1063190.877785, norm of subgrad 44.694328 stepsize= 1.000000
+dualbound = 1640634.174028, lowerbound=1060245.174028, norm of subgrad 1030.457750 dualbound = 1640634.174028, lowerbound=1060245.174028, norm of subgrad 44.399282 stepsize= 1.000000
+dualbound = 1641015.141309, lowerbound=1061817.141309, norm of subgrad 1031.233796 dualbound = 1641015.141309, lowerbound=1061817.141309, norm of subgrad 44.799188 stepsize= 1.000000
+dualbound = 1641382.398587, lowerbound=1060981.398587, norm of subgrad 1030.831411 dualbound = 1641382.398587, lowerbound=1060981.398587, norm of subgrad 44.713055 stepsize= 1.000000
+dualbound = 1641771.226624, lowerbound=1063973.226624, norm of subgrad 1032.278657 dualbound = 1641771.226624, lowerbound=1063973.226624, norm of subgrad 44.886836 stepsize= 1.000000
+dualbound = 1642140.132010, lowerbound=1058530.132010, norm of subgrad 1029.638350 dualbound = 1642140.132010, lowerbound=1058530.132010, norm of subgrad 44.653168 stepsize= 1.000000
+dualbound = 1642513.476258, lowerbound=1062183.476258, norm of subgrad 1031.409461 dualbound = 1642513.476258, lowerbound=1062183.476258, norm of subgrad 44.669276 stepsize= 1.000000
+dualbound = 1642899.394695, lowerbound=1061360.394695, norm of subgrad 1031.023470 dualbound = 1642899.394695, lowerbound=1061360.394695, norm of subgrad 45.110070 stepsize= 1.000000
+dualbound = 1643272.739583, lowerbound=1061807.739583, norm of subgrad 1031.220025 dualbound = 1643272.739583, lowerbound=1061807.739583, norm of subgrad 44.501066 stepsize= 1.000000
+dualbound = 1643663.733517, lowerbound=1063046.733517, norm of subgrad 1031.827860 dualbound = 1643663.733517, lowerbound=1063046.733517, norm of subgrad 44.866401 stepsize= 1.000000
+dualbound = 1644024.657159, lowerbound=1061820.657159, norm of subgrad 1031.230167 dualbound = 1644024.657159, lowerbound=1061820.657159, norm of subgrad 44.451363 stepsize= 1.000000
+dualbound = 1644402.609848, lowerbound=1064355.609848, norm of subgrad 1032.495332 dualbound = 1644402.609848, lowerbound=1064355.609848, norm of subgrad 45.485742 stepsize= 1.000000
+dualbound = 1644780.334110, lowerbound=1059848.334110, norm of subgrad 1030.277795 dualbound = 1644780.334110, lowerbound=1059848.334110, norm of subgrad 44.740633 stepsize= 1.000000
+dualbound = 1645158.637163, lowerbound=1058096.637163, norm of subgrad 1029.410335 dualbound = 1645158.637163, lowerbound=1058096.637163, norm of subgrad 44.354290 stepsize= 1.000000
+dualbound = 1645539.091524, lowerbound=1062899.091524, norm of subgrad 1031.742745 dualbound = 1645539.091524, lowerbound=1062899.091524, norm of subgrad 44.434833 stepsize= 1.000000
+dualbound = 1645931.226612, lowerbound=1061443.226612, norm of subgrad 1031.057819 dualbound = 1645931.226612, lowerbound=1061443.226612, norm of subgrad 45.045922 stepsize= 1.000000
+dualbound = 1646267.495711, lowerbound=1063311.495711, norm of subgrad 1031.958573 dualbound = 1646267.495711, lowerbound=1063311.495711, norm of subgrad 44.308793 stepsize= 1.000000
+dualbound = 1646669.026146, lowerbound=1061344.026146, norm of subgrad 1030.997588 dualbound = 1646669.026146, lowerbound=1061344.026146, norm of subgrad 44.872379 stepsize= 1.000000
+dualbound = 1647041.420997, lowerbound=1062695.420997, norm of subgrad 1031.624651 dualbound = 1647041.420997, lowerbound=1062695.420997, norm of subgrad 43.890715 stepsize= 1.000000
+dualbound = 1647449.833827, lowerbound=1060076.833827, norm of subgrad 1030.357139 dualbound = 1647449.833827, lowerbound=1060076.833827, norm of subgrad 44.355528 stepsize= 1.000000
+dualbound = 1647775.550972, lowerbound=1065410.550972, norm of subgrad 1033.019144 dualbound = 1647775.550972, lowerbound=1065410.550972, norm of subgrad 45.207490 stepsize= 1.000000
+dualbound = 1648137.850547, lowerbound=1057902.850547, norm of subgrad 1029.375466 dualbound = 1648137.850547, lowerbound=1057902.850547, norm of subgrad 45.533499 stepsize= 1.000000
+dualbound = 1648533.934286, lowerbound=1062684.934286, norm of subgrad 1031.637017 dualbound = 1648533.934286, lowerbound=1062684.934286, norm of subgrad 44.565499 stepsize= 1.000000
+dualbound = 1648929.503851, lowerbound=1062050.503851, norm of subgrad 1031.316878 dualbound = 1648929.503851, lowerbound=1062050.503851, norm of subgrad 44.267026 stepsize= 1.000000
+dualbound = 1649306.651826, lowerbound=1062567.651826, norm of subgrad 1031.569994 dualbound = 1649306.651826, lowerbound=1062567.651826, norm of subgrad 44.115167 stepsize= 1.000000
+dualbound = 1649677.478731, lowerbound=1063354.478731, norm of subgrad 1031.978429 dualbound = 1649677.478731, lowerbound=1063354.478731, norm of subgrad 44.674679 stepsize= 1.000000
+dualbound = 1650020.655221, lowerbound=1060720.655221, norm of subgrad 1030.720454 dualbound = 1650020.655221, lowerbound=1060720.655221, norm of subgrad 44.801523 stepsize= 1.000000
+dualbound = 1650418.723437, lowerbound=1064494.723437, norm of subgrad 1032.533643 dualbound = 1650418.723437, lowerbound=1064494.723437, norm of subgrad 45.045180 stepsize= 1.000000
+dualbound = 1650786.670348, lowerbound=1061476.670348, norm of subgrad 1031.067733 dualbound = 1650786.670348, lowerbound=1061476.670348, norm of subgrad 44.631232 stepsize= 1.000000
+dualbound = 1651150.750449, lowerbound=1061533.750449, norm of subgrad 1031.110930 dualbound = 1651150.750449, lowerbound=1061533.750449, norm of subgrad 44.945301 stepsize= 1.000000
+dualbound = 1651533.667210, lowerbound=1061793.667210, norm of subgrad 1031.181200 dualbound = 1651533.667210, lowerbound=1061793.667210, norm of subgrad 43.862476 stepsize= 1.000000
+dualbound = 1651940.801400, lowerbound=1063759.801400, norm of subgrad 1032.183511 dualbound = 1651940.801400, lowerbound=1063759.801400, norm of subgrad 45.278408 stepsize= 1.000000
+dualbound = 1652254.349755, lowerbound=1062675.349755, norm of subgrad 1031.672598 dualbound = 1652254.349755, lowerbound=1062675.349755, norm of subgrad 44.570712 stepsize= 1.000000
+dualbound = 1652676.565589, lowerbound=1060783.565589, norm of subgrad 1030.697611 dualbound = 1652676.565589, lowerbound=1060783.565589, norm of subgrad 44.454649 stepsize= 1.000000
+dualbound = 1653013.566800, lowerbound=1062247.566800, norm of subgrad 1031.450710 dualbound = 1653013.566800, lowerbound=1062247.566800, norm of subgrad 44.497205 stepsize= 1.000000
+dualbound = 1653429.886202, lowerbound=1062115.886202, norm of subgrad 1031.351485 dualbound = 1653429.886202, lowerbound=1062115.886202, norm of subgrad 44.568143 stepsize= 1.000000
+dualbound = 1653810.687450, lowerbound=1062589.687450, norm of subgrad 1031.585521 dualbound = 1653810.687450, lowerbound=1062589.687450, norm of subgrad 44.269643 stepsize= 1.000000
+dualbound = 1654188.146922, lowerbound=1062550.146922, norm of subgrad 1031.534365 dualbound = 1654188.146922, lowerbound=1062550.146922, norm of subgrad 43.479414 stepsize= 1.000000
+dualbound = 1654535.206613, lowerbound=1064477.206613, norm of subgrad 1032.524192 dualbound = 1654535.206613, lowerbound=1064477.206613, norm of subgrad 44.452893 stepsize= 1.000000
+dualbound = 1654900.577441, lowerbound=1064157.577441, norm of subgrad 1032.388772 dualbound = 1654900.577441, lowerbound=1064157.577441, norm of subgrad 45.104000 stepsize= 1.000000
+dualbound = 1655263.650415, lowerbound=1061851.650415, norm of subgrad 1031.252467 dualbound = 1655263.650415, lowerbound=1061851.650415, norm of subgrad 44.643846 stepsize= 1.000000
+dualbound = 1655645.121010, lowerbound=1062917.121010, norm of subgrad 1031.725797 dualbound = 1655645.121010, lowerbound=1062917.121010, norm of subgrad 43.845987 stepsize= 1.000000
+dualbound = 1656043.542275, lowerbound=1061645.542275, norm of subgrad 1031.162229 dualbound = 1656043.542275, lowerbound=1061645.542275, norm of subgrad 45.259488 stepsize= 1.000000
+dualbound = 1656385.471817, lowerbound=1061629.471817, norm of subgrad 1031.142799 dualbound = 1656385.471817, lowerbound=1061629.471817, norm of subgrad 44.361352 stepsize= 1.000000
+dualbound = 1656786.854467, lowerbound=1066135.854467, norm of subgrad 1033.321274 dualbound = 1656786.854467, lowerbound=1066135.854467, norm of subgrad 44.926414 stepsize= 1.000000
+dualbound = 1657149.562995, lowerbound=1060926.562995, norm of subgrad 1030.764553 dualbound = 1657149.562995, lowerbound=1060926.562995, norm of subgrad 43.723089 stepsize= 1.000000
+dualbound = 1657536.520355, lowerbound=1064714.520355, norm of subgrad 1032.632810 dualbound = 1657536.520355, lowerbound=1064714.520355, norm of subgrad 44.754412 stepsize= 1.000000
+dualbound = 1657877.136988, lowerbound=1062571.136988, norm of subgrad 1031.596887 dualbound = 1657877.136988, lowerbound=1062571.136988, norm of subgrad 44.290141 stepsize= 1.000000
+dualbound = 1658249.703594, lowerbound=1060888.703594, norm of subgrad 1030.755889 dualbound = 1658249.703594, lowerbound=1060888.703594, norm of subgrad 44.063211 stepsize= 1.000000
+dualbound = 1658664.989940, lowerbound=1065711.989940, norm of subgrad 1033.079373 dualbound = 1658664.989940, lowerbound=1065711.989940, norm of subgrad 44.229926 stepsize= 1.000000
+dualbound = 1659029.503687, lowerbound=1061774.503687, norm of subgrad 1031.171908 dualbound = 1659029.503687, lowerbound=1061774.503687, norm of subgrad 43.652191 stepsize= 1.000000
+dualbound = 1659380.604055, lowerbound=1064567.604055, norm of subgrad 1032.582008 dualbound = 1659380.604055, lowerbound=1064567.604055, norm of subgrad 44.822989 stepsize= 1.000000
+dualbound = 1659718.455781, lowerbound=1060590.455781, norm of subgrad 1030.668451 dualbound = 1659718.455781, lowerbound=1060590.455781, norm of subgrad 44.998352 stepsize= 1.000000
+dualbound = 1660100.454055, lowerbound=1066842.454055, norm of subgrad 1033.689728 dualbound = 1660100.454055, lowerbound=1066842.454055, norm of subgrad 45.321058 stepsize= 1.000000
+dualbound = 1660490.674342, lowerbound=1059614.674342, norm of subgrad 1030.144007 dualbound = 1660490.674342, lowerbound=1059614.674342, norm of subgrad 44.409687 stepsize= 1.000000
+dualbound = 1660874.076412, lowerbound=1063361.076412, norm of subgrad 1031.982111 dualbound = 1660874.076412, lowerbound=1063361.076412, norm of subgrad 44.826355 stepsize= 1.000000
+dualbound = 1661223.134200, lowerbound=1064407.134200, norm of subgrad 1032.482995 dualbound = 1661223.134200, lowerbound=1064407.134200, norm of subgrad 44.306408 stepsize= 1.000000
+dualbound = 1661629.223692, lowerbound=1061606.223692, norm of subgrad 1031.104856 dualbound = 1661629.223692, lowerbound=1061606.223692, norm of subgrad 44.464474 stepsize= 1.000000
+dualbound = 1661991.984049, lowerbound=1067429.984049, norm of subgrad 1033.913432 dualbound = 1661991.984049, lowerbound=1067429.984049, norm of subgrad 43.700805 stepsize= 1.000000
+dualbound = 1662363.381364, lowerbound=1060848.381364, norm of subgrad 1030.764950 dualbound = 1662363.381364, lowerbound=1060848.381364, norm of subgrad 44.714621 stepsize= 1.000000
+dualbound = 1662717.510139, lowerbound=1066902.510139, norm of subgrad 1033.703783 dualbound = 1662717.510139, lowerbound=1066902.510139, norm of subgrad 44.666864 stepsize= 1.000000
+dualbound = 1663088.557505, lowerbound=1060043.557505, norm of subgrad 1030.341961 dualbound = 1663088.557505, lowerbound=1060043.557505, norm of subgrad 43.955061 stepsize= 1.000000
+dualbound = 1663476.615246, lowerbound=1065997.615246, norm of subgrad 1033.247606 dualbound = 1663476.615246, lowerbound=1065997.615246, norm of subgrad 44.621270 stepsize= 1.000000
+dualbound = 1663840.985777, lowerbound=1062643.985777, norm of subgrad 1031.618140 dualbound = 1663840.985777, lowerbound=1062643.985777, norm of subgrad 44.230878 stepsize= 1.000000
+dualbound = 1664216.838926, lowerbound=1065202.838926, norm of subgrad 1032.862933 dualbound = 1664216.838926, lowerbound=1065202.838926, norm of subgrad 44.484302 stepsize= 1.000000
+dualbound = 1664574.321132, lowerbound=1064267.321132, norm of subgrad 1032.414317 dualbound = 1664574.321132, lowerbound=1064267.321132, norm of subgrad 44.378849 stepsize= 1.000000
+dualbound = 1664955.841944, lowerbound=1062337.841944, norm of subgrad 1031.458114 dualbound = 1664955.841944, lowerbound=1062337.841944, norm of subgrad 44.153378 stepsize= 1.000000
+dualbound = 1665312.112795, lowerbound=1064044.112795, norm of subgrad 1032.294102 dualbound = 1665312.112795, lowerbound=1064044.112795, norm of subgrad 44.082546 stepsize= 1.000000
+dualbound = 1665675.836191, lowerbound=1064851.836191, norm of subgrad 1032.680898 dualbound = 1665675.836191, lowerbound=1064851.836191, norm of subgrad 44.064991 stepsize= 1.000000
+dualbound = 1666061.790891, lowerbound=1063474.790891, norm of subgrad 1032.020247 dualbound = 1666061.790891, lowerbound=1063474.790891, norm of subgrad 44.462959 stepsize= 1.000000
+dualbound = 1666417.433122, lowerbound=1062735.433122, norm of subgrad 1031.665853 dualbound = 1666417.433122, lowerbound=1062735.433122, norm of subgrad 44.211336 stepsize= 1.000000
+dualbound = 1666780.010143, lowerbound=1064481.010143, norm of subgrad 1032.530392 dualbound = 1666780.010143, lowerbound=1064481.010143, norm of subgrad 44.727810 stepsize= 1.000000
+dualbound = 1667140.061163, lowerbound=1065660.061163, norm of subgrad 1033.110866 dualbound = 1667140.061163, lowerbound=1065660.061163, norm of subgrad 44.922723 stepsize= 1.000000
+dualbound = 1667496.783066, lowerbound=1064059.783066, norm of subgrad 1032.307988 dualbound = 1667496.783066, lowerbound=1064059.783066, norm of subgrad 44.234849 stepsize= 1.000000
+dualbound = 1667889.645399, lowerbound=1062997.645399, norm of subgrad 1031.802135 dualbound = 1667889.645399, lowerbound=1062997.645399, norm of subgrad 44.842640 stepsize= 1.000000
+dualbound = 1668239.734961, lowerbound=1064566.734961, norm of subgrad 1032.578198 dualbound = 1668239.734961, lowerbound=1064566.734961, norm of subgrad 44.733540 stepsize= 1.000000
+dualbound = 1668617.221441, lowerbound=1066186.221441, norm of subgrad 1033.333548 dualbound = 1668617.221441, lowerbound=1066186.221441, norm of subgrad 44.378897 stepsize= 1.000000
+dualbound = 1668975.337085, lowerbound=1064097.337085, norm of subgrad 1032.357659 dualbound = 1668975.337085, lowerbound=1064097.337085, norm of subgrad 44.979058 stepsize= 1.000000
+dualbound = 1669335.800446, lowerbound=1065510.800446, norm of subgrad 1033.030881 dualbound = 1669335.800446, lowerbound=1065510.800446, norm of subgrad 44.748892 stepsize= 1.000000
+dualbound = 1669724.800595, lowerbound=1062855.800595, norm of subgrad 1031.724673 dualbound = 1669724.800595, lowerbound=1062855.800595, norm of subgrad 44.598208 stepsize= 1.000000
+dualbound = 1670093.354828, lowerbound=1063496.354828, norm of subgrad 1032.040869 dualbound = 1670093.354828, lowerbound=1063496.354828, norm of subgrad 44.503418 stepsize= 1.000000
+dualbound = 1670460.391765, lowerbound=1063871.391765, norm of subgrad 1032.209471 dualbound = 1670460.391765, lowerbound=1063871.391765, norm of subgrad 44.181862 stepsize= 1.000000
+dualbound = 1670825.205842, lowerbound=1062906.205842, norm of subgrad 1031.762185 dualbound = 1670825.205842, lowerbound=1062906.205842, norm of subgrad 44.629744 stepsize= 1.000000
+dualbound = 1671180.628611, lowerbound=1064543.628611, norm of subgrad 1032.550545 dualbound = 1671180.628611, lowerbound=1064543.628611, norm of subgrad 44.411967 stepsize= 1.000000
+dualbound = 1671578.750390, lowerbound=1065408.750390, norm of subgrad 1032.928241 dualbound = 1671578.750390, lowerbound=1065408.750390, norm of subgrad 43.933151 stepsize= 1.000000
+dualbound = 1671937.758937, lowerbound=1064899.758937, norm of subgrad 1032.689091 dualbound = 1671937.758937, lowerbound=1064899.758937, norm of subgrad 43.657858 stepsize= 1.000000
+dualbound = 1672319.518558, lowerbound=1067964.518558, norm of subgrad 1034.207677 dualbound = 1672319.518558, lowerbound=1067964.518558, norm of subgrad 44.752202 stepsize= 1.000000
+dualbound = 1672651.708146, lowerbound=1061220.708146, norm of subgrad 1030.948451 dualbound = 1672651.708146, lowerbound=1061220.708146, norm of subgrad 44.341736 stepsize= 1.000000
+dualbound = 1673025.648350, lowerbound=1067919.648350, norm of subgrad 1034.196136 dualbound = 1673025.648350, lowerbound=1067919.648350, norm of subgrad 44.899223 stepsize= 1.000000
+dualbound = 1673364.340951, lowerbound=1062400.340951, norm of subgrad 1031.518948 dualbound = 1673364.340951, lowerbound=1062400.340951, norm of subgrad 44.381219 stepsize= 1.000000
+dualbound = 1673763.818800, lowerbound=1066387.818800, norm of subgrad 1033.454798 dualbound = 1673763.818800, lowerbound=1066387.818800, norm of subgrad 45.171649 stepsize= 1.000000
+dualbound = 1674100.321934, lowerbound=1060822.321934, norm of subgrad 1030.786749 dualbound = 1674100.321934, lowerbound=1060822.321934, norm of subgrad 45.116551 stepsize= 1.000000
+dualbound = 1674463.542618, lowerbound=1069586.542618, norm of subgrad 1035.003161 dualbound = 1674463.542618, lowerbound=1069586.542618, norm of subgrad 44.813175 stepsize= 1.000000
+dualbound = 1674869.908597, lowerbound=1062991.908597, norm of subgrad 1031.743141 dualbound = 1674869.908597, lowerbound=1062991.908597, norm of subgrad 43.684848 stepsize= 1.000000
+dualbound = 1675214.007548, lowerbound=1064181.007548, norm of subgrad 1032.352657 dualbound = 1675214.007548, lowerbound=1064181.007548, norm of subgrad 43.761844 stepsize= 1.000000
+dualbound = 1675591.072552, lowerbound=1066247.072552, norm of subgrad 1033.357669 dualbound = 1675591.072552, lowerbound=1066247.072552, norm of subgrad 44.250028 stepsize= 1.000000
+dualbound = 1675940.494759, lowerbound=1064264.494759, norm of subgrad 1032.403262 dualbound = 1675940.494759, lowerbound=1064264.494759, norm of subgrad 44.061573 stepsize= 1.000000
+dualbound = 1676313.957974, lowerbound=1064813.957974, norm of subgrad 1032.666431 dualbound = 1676313.957974, lowerbound=1064813.957974, norm of subgrad 44.265824 stepsize= 1.000000
+dualbound = 1676682.246050, lowerbound=1066081.246050, norm of subgrad 1033.278881 dualbound = 1676682.246050, lowerbound=1066081.246050, norm of subgrad 44.184704 stepsize= 1.000000
+dualbound = 1677045.400397, lowerbound=1062832.400397, norm of subgrad 1031.752102 dualbound = 1677045.400397, lowerbound=1062832.400397, norm of subgrad 45.201265 stepsize= 1.000000
+dualbound = 1677404.589070, lowerbound=1066434.589070, norm of subgrad 1033.443559 dualbound = 1677404.589070, lowerbound=1066434.589070, norm of subgrad 43.933913 stepsize= 1.000000
+dualbound = 1677785.736142, lowerbound=1063951.736142, norm of subgrad 1032.257108 dualbound = 1677785.736142, lowerbound=1063951.736142, norm of subgrad 44.543766 stepsize= 1.000000
+dualbound = 1678149.731162, lowerbound=1065827.731162, norm of subgrad 1033.160070 dualbound = 1678149.731162, lowerbound=1065827.731162, norm of subgrad 44.226632 stepsize= 1.000000
+dualbound = 1678529.350069, lowerbound=1063041.350069, norm of subgrad 1031.821375 dualbound = 1678529.350069, lowerbound=1063041.350069, norm of subgrad 44.649960 stepsize= 1.000000
+dualbound = 1678870.316943, lowerbound=1065532.316943, norm of subgrad 1033.014674 dualbound = 1678870.316943, lowerbound=1065532.316943, norm of subgrad 43.908620 stepsize= 1.000000
+dualbound = 1679255.171981, lowerbound=1065784.171980, norm of subgrad 1033.132698 dualbound = 1679255.171981, lowerbound=1065784.171980, norm of subgrad 44.315404 stepsize= 1.000000
+dualbound = 1679617.223559, lowerbound=1066103.223559, norm of subgrad 1033.274999 dualbound = 1679617.223559, lowerbound=1066103.223559, norm of subgrad 43.772726 stepsize= 1.000000
+dualbound = 1680002.194178, lowerbound=1064673.194178, norm of subgrad 1032.621031 dualbound = 1680002.194178, lowerbound=1064673.194178, norm of subgrad 44.921828 stepsize= 1.000000
+dualbound = 1680298.909103, lowerbound=1067313.909103, norm of subgrad 1033.901305 dualbound = 1680298.909103, lowerbound=1067313.909103, norm of subgrad 43.985394 stepsize= 1.000000
+dualbound = 1680716.883027, lowerbound=1065578.883027, norm of subgrad 1033.017852 dualbound = 1680716.883027, lowerbound=1065578.883027, norm of subgrad 44.328026 stepsize= 1.000000
+dualbound = 1681064.710281, lowerbound=1066042.710281, norm of subgrad 1033.264105 dualbound = 1681064.710281, lowerbound=1066042.710281, norm of subgrad 44.043470 stepsize= 1.000000
+dualbound = 1681436.565213, lowerbound=1065086.565213, norm of subgrad 1032.854571 dualbound = 1681436.565213, lowerbound=1065086.565213, norm of subgrad 45.539597 stepsize= 1.000000
+dualbound = 1681756.696352, lowerbound=1065289.696352, norm of subgrad 1032.905947 dualbound = 1681756.696352, lowerbound=1065289.696352, norm of subgrad 43.876316 stepsize= 1.000000
+dualbound = 1682178.441624, lowerbound=1066275.441624, norm of subgrad 1033.369944 dualbound = 1682178.441624, lowerbound=1066275.441624, norm of subgrad 44.718512 stepsize= 1.000000
+dualbound = 1682517.478602, lowerbound=1066007.478602, norm of subgrad 1033.244636 dualbound = 1682517.478602, lowerbound=1066007.478602, norm of subgrad 43.886638 stepsize= 1.000000
+dualbound = 1682892.244018, lowerbound=1062282.244018, norm of subgrad 1031.432133 dualbound = 1682892.244018, lowerbound=1062282.244018, norm of subgrad 44.099495 stepsize= 1.000000
+dualbound = 1683248.755925, lowerbound=1067211.755925, norm of subgrad 1033.809342 dualbound = 1683248.755925, lowerbound=1067211.755925, norm of subgrad 43.663622 stepsize= 1.000000
+dualbound = 1683629.023983, lowerbound=1063690.023983, norm of subgrad 1032.159399 dualbound = 1683629.023983, lowerbound=1063690.023983, norm of subgrad 45.202523 stepsize= 1.000000
+dualbound = 1683951.154737, lowerbound=1065116.154737, norm of subgrad 1032.875188 dualbound = 1683951.154737, lowerbound=1065116.154737, norm of subgrad 45.134585 stepsize= 1.000000
+dualbound = 1684330.306736, lowerbound=1067490.306736, norm of subgrad 1033.984191 dualbound = 1684330.306736, lowerbound=1067490.306736, norm of subgrad 44.857017 stepsize= 1.000000
+dualbound = 1684713.452175, lowerbound=1064094.452175, norm of subgrad 1032.296204 dualbound = 1684713.452175, lowerbound=1064094.452175, norm of subgrad 43.865082 stepsize= 1.000000
+dualbound = 1685079.447134, lowerbound=1066724.447134, norm of subgrad 1033.629260 dualbound = 1685079.447134, lowerbound=1066724.447134, norm of subgrad 45.066561 stepsize= 1.000000
+dualbound = 1685416.144282, lowerbound=1066768.144282, norm of subgrad 1033.640239 dualbound = 1685416.144282, lowerbound=1066768.144282, norm of subgrad 44.505024 stepsize= 1.000000
+dualbound = 1685800.231282, lowerbound=1064324.231282, norm of subgrad 1032.440909 dualbound = 1685800.231282, lowerbound=1064324.231282, norm of subgrad 44.655201 stepsize= 1.000000
+dualbound = 1686152.623932, lowerbound=1068408.623932, norm of subgrad 1034.434930 dualbound = 1686152.623932, lowerbound=1068408.623932, norm of subgrad 44.714569 stepsize= 1.000000
+dualbound = 1686487.239640, lowerbound=1064971.239640, norm of subgrad 1032.761947 dualbound = 1686487.239640, lowerbound=1064971.239640, norm of subgrad 44.278840 stepsize= 1.000000
+dualbound = 1686878.126209, lowerbound=1065220.126209, norm of subgrad 1032.876627 dualbound = 1686878.126209, lowerbound=1065220.126209, norm of subgrad 44.775960 stepsize= 1.000000
+dualbound = 1687228.835202, lowerbound=1065471.835202, norm of subgrad 1032.987335 dualbound = 1687228.835202, lowerbound=1065471.835202, norm of subgrad 44.064827 stepsize= 1.000000
+dualbound = 1687612.620644, lowerbound=1067023.620644, norm of subgrad 1033.730923 dualbound = 1687612.620644, lowerbound=1067023.620644, norm of subgrad 44.269464 stepsize= 1.000000
+dualbound = 1687971.240737, lowerbound=1066410.240737, norm of subgrad 1033.455002 dualbound = 1687971.240737, lowerbound=1066410.240737, norm of subgrad 44.470441 stepsize= 1.000000
+dualbound = 1688327.170167, lowerbound=1065941.170167, norm of subgrad 1033.213516 dualbound = 1688327.170167, lowerbound=1065941.170167, norm of subgrad 44.101354 stepsize= 1.000000
+dualbound = 1688698.377090, lowerbound=1066567.377090, norm of subgrad 1033.490386 dualbound = 1688698.377090, lowerbound=1066567.377090, norm of subgrad 43.660130 stepsize= 1.000000
+dualbound = 1689059.880631, lowerbound=1064884.880631, norm of subgrad 1032.714811 dualbound = 1689059.880631, lowerbound=1064884.880631, norm of subgrad 44.457885 stepsize= 1.000000
+dualbound = 1689412.240299, lowerbound=1067867.240299, norm of subgrad 1034.150976 dualbound = 1689412.240299, lowerbound=1067867.240299, norm of subgrad 44.196829 stepsize= 1.000000
+dualbound = 1689781.500265, lowerbound=1064452.500265, norm of subgrad 1032.476876 dualbound = 1689781.500265, lowerbound=1064452.500265, norm of subgrad 43.877784 stepsize= 1.000000
+dualbound = 1690157.320565, lowerbound=1067610.320565, norm of subgrad 1034.012244 dualbound = 1690157.320565, lowerbound=1067610.320565, norm of subgrad 44.122787 stepsize= 1.000000
+dualbound = 1690496.267500, lowerbound=1066085.267500, norm of subgrad 1033.305505 dualbound = 1690496.267500, lowerbound=1066085.267500, norm of subgrad 44.429123 stepsize= 1.000000
+dualbound = 1690854.271985, lowerbound=1068056.271985, norm of subgrad 1034.238499 dualbound = 1690854.271985, lowerbound=1068056.271985, norm of subgrad 44.170176 stepsize= 1.000000
+dualbound = 1691236.958095, lowerbound=1061925.958095, norm of subgrad 1031.235161 dualbound = 1691236.958095, lowerbound=1061925.958095, norm of subgrad 43.619790 stepsize= 1.000000
+dualbound = 1691614.044531, lowerbound=1069672.044531, norm of subgrad 1035.026591 dualbound = 1691614.044531, lowerbound=1069672.044531, norm of subgrad 44.554309 stepsize= 1.000000
+dualbound = 1691952.809657, lowerbound=1068605.809657, norm of subgrad 1034.483837 dualbound = 1691952.809657, lowerbound=1068605.809657, norm of subgrad 43.471429 stepsize= 1.000000
+dualbound = 1692320.288026, lowerbound=1064929.288026, norm of subgrad 1032.728565 dualbound = 1692320.288026, lowerbound=1064929.288026, norm of subgrad 44.344993 stepsize= 1.000000
+dualbound = 1692696.854185, lowerbound=1065610.854185, norm of subgrad 1033.018322 dualbound = 1692696.854185, lowerbound=1065610.854185, norm of subgrad 43.503634 stepsize= 1.000000
+dualbound = 1693047.784282, lowerbound=1066619.784282, norm of subgrad 1033.555893 dualbound = 1693047.784282, lowerbound=1066619.784282, norm of subgrad 44.372628 stepsize= 1.000000
+dualbound = 1693373.443803, lowerbound=1064601.443803, norm of subgrad 1032.589678 dualbound = 1693373.443803, lowerbound=1064601.443803, norm of subgrad 44.335759 stepsize= 1.000000
+dualbound = 1693774.696216, lowerbound=1068702.696216, norm of subgrad 1034.548064 dualbound = 1693774.696216, lowerbound=1068702.696216, norm of subgrad 44.589824 stepsize= 1.000000
+dualbound = 1694119.959246, lowerbound=1068173.959246, norm of subgrad 1034.316180 dualbound = 1694119.959246, lowerbound=1068173.959246, norm of subgrad 44.511381 stepsize= 1.000000
+dualbound = 1694448.149290, lowerbound=1068336.149290, norm of subgrad 1034.440984 dualbound = 1694448.149290, lowerbound=1068336.149290, norm of subgrad 45.389316 stepsize= 1.000000
+dualbound = 1694827.735587, lowerbound=1066696.735587, norm of subgrad 1033.575704 dualbound = 1694827.735587, lowerbound=1066696.735587, norm of subgrad 44.289799 stepsize= 1.000000
+dualbound = 1695202.367894, lowerbound=1063914.367894, norm of subgrad 1032.233679 dualbound = 1695202.367894, lowerbound=1063914.367894, norm of subgrad 44.346728 stepsize= 1.000000
+dualbound = 1695570.517760, lowerbound=1069456.517760, norm of subgrad 1034.919088 dualbound = 1695570.517760, lowerbound=1069456.517760, norm of subgrad 44.375104 stepsize= 1.000000
+dualbound = 1695935.051235, lowerbound=1066629.051235, norm of subgrad 1033.552636 dualbound = 1695935.051235, lowerbound=1066629.051235, norm of subgrad 44.345614 stepsize= 1.000000
+dualbound = 1696297.675299, lowerbound=1066387.675299, norm of subgrad 1033.406830 dualbound = 1696297.675299, lowerbound=1066387.675299, norm of subgrad 43.641999 stepsize= 1.000000
+dualbound = 1696668.152994, lowerbound=1066185.152994, norm of subgrad 1033.310289 dualbound = 1696668.152994, lowerbound=1066185.152994, norm of subgrad 43.766171 stepsize= 1.000000
+dualbound = 1697022.601509, lowerbound=1068296.601509, norm of subgrad 1034.335826 dualbound = 1697022.601509, lowerbound=1068296.601509, norm of subgrad 43.685793 stepsize= 1.000000
+dualbound = 1697394.296436, lowerbound=1067993.296436, norm of subgrad 1034.212404 dualbound = 1697394.296436, lowerbound=1067993.296436, norm of subgrad 44.426286 stepsize= 1.000000
+dualbound = 1697742.854231, lowerbound=1067952.854231, norm of subgrad 1034.192852 dualbound = 1697742.854231, lowerbound=1067952.854231, norm of subgrad 44.165120 stepsize= 1.000000
+dualbound = 1698094.494068, lowerbound=1067364.494068, norm of subgrad 1033.920932 dualbound = 1698094.494068, lowerbound=1067364.494068, norm of subgrad 44.493144 stepsize= 1.000000
+dualbound = 1698451.937286, lowerbound=1066197.937286, norm of subgrad 1033.327604 dualbound = 1698451.937286, lowerbound=1066197.937286, norm of subgrad 43.879873 stepsize= 1.000000
+dualbound = 1698825.207982, lowerbound=1067078.207982, norm of subgrad 1033.793600 dualbound = 1698825.207982, lowerbound=1067078.207982, norm of subgrad 44.991896 stepsize= 1.000000
+dualbound = 1699160.778348, lowerbound=1070842.778348, norm of subgrad 1035.602133 dualbound = 1699160.778348, lowerbound=1070842.778348, norm of subgrad 44.323474 stepsize= 1.000000
+dualbound = 1699539.837148, lowerbound=1064524.837148, norm of subgrad 1032.528855 dualbound = 1699539.837148, lowerbound=1064524.837148, norm of subgrad 44.385344 stepsize= 1.000000
+dualbound = 1699893.521635, lowerbound=1067450.521635, norm of subgrad 1033.926265 dualbound = 1699893.521635, lowerbound=1067450.521635, norm of subgrad 43.665598 stepsize= 1.000000
+dualbound = 1700275.332326, lowerbound=1066101.332326, norm of subgrad 1033.280374 dualbound = 1700275.332326, lowerbound=1066101.332326, norm of subgrad 44.145336 stepsize= 1.000000
+dualbound = 1700624.011506, lowerbound=1070718.011506, norm of subgrad 1035.530787 dualbound = 1700624.011506, lowerbound=1070718.011506, norm of subgrad 44.211754 stepsize= 1.000000
+dualbound = 1701005.170888, lowerbound=1064660.170888, norm of subgrad 1032.543060 dualbound = 1701005.170888, lowerbound=1064660.170888, norm of subgrad 43.199067 stepsize= 1.000000
+dualbound = 1701413.148217, lowerbound=1067073.148217, norm of subgrad 1033.763584 dualbound = 1701413.148217, lowerbound=1067073.148217, norm of subgrad 44.743461 stepsize= 1.000000
+dualbound = 1701700.595914, lowerbound=1068393.595914, norm of subgrad 1034.417032 dualbound = 1701700.595914, lowerbound=1068393.595914, norm of subgrad 43.731541 stepsize= 1.000000
+dualbound = 1702061.394882, lowerbound=1067714.394882, norm of subgrad 1034.111404 dualbound = 1702061.394882, lowerbound=1067714.394882, norm of subgrad 45.086572 stepsize= 1.000000
+dualbound = 1702435.267974, lowerbound=1070216.267974, norm of subgrad 1035.272074 dualbound = 1702435.267974, lowerbound=1070216.267974, norm of subgrad 44.112052 stepsize= 1.000000
+dualbound = 1702814.649866, lowerbound=1066461.649866, norm of subgrad 1033.463908 dualbound = 1702814.649866, lowerbound=1066461.649866, norm of subgrad 44.332628 stepsize= 1.000000
+dualbound = 1703162.094762, lowerbound=1069387.094762, norm of subgrad 1034.902940 dualbound = 1703162.094762, lowerbound=1069387.094762, norm of subgrad 44.547109 stepsize= 1.000000
+dualbound = 1703502.840413, lowerbound=1066237.840413, norm of subgrad 1033.328525 dualbound = 1703502.840413, lowerbound=1066237.840413, norm of subgrad 43.252117 stepsize= 1.000000
+dualbound = 1703912.320993, lowerbound=1068391.320993, norm of subgrad 1034.377746 dualbound = 1703912.320993, lowerbound=1068391.320993, norm of subgrad 44.220816 stepsize= 1.000000
+dualbound = 1704239.030349, lowerbound=1067802.030348, norm of subgrad 1034.121381 dualbound = 1704239.030349, lowerbound=1067802.030348, norm of subgrad 43.951216 stepsize= 1.000000
+dualbound = 1704585.149023, lowerbound=1068042.149023, norm of subgrad 1034.214266 dualbound = 1704585.149023, lowerbound=1068042.149023, norm of subgrad 43.624748 stepsize= 1.000000
+dualbound = 1704967.442927, lowerbound=1069767.442927, norm of subgrad 1035.064946 dualbound = 1704967.442927, lowerbound=1069767.442927, norm of subgrad 44.433027 stepsize= 1.000000
+dualbound = 1705322.662419, lowerbound=1066804.662419, norm of subgrad 1033.647262 dualbound = 1705322.662419, lowerbound=1066804.662419, norm of subgrad 44.465936 stepsize= 1.000000
+dualbound = 1705669.919047, lowerbound=1066465.919047, norm of subgrad 1033.465006 dualbound = 1705669.919047, lowerbound=1066465.919047, norm of subgrad 43.946065 stepsize= 1.000000
+dualbound = 1706032.777291, lowerbound=1067253.777291, norm of subgrad 1033.879963 dualbound = 1706032.777291, lowerbound=1067253.777291, norm of subgrad 44.909445 stepsize= 1.000000
+dualbound = 1706392.010242, lowerbound=1069058.010242, norm of subgrad 1034.745867 dualbound = 1706392.010242, lowerbound=1069058.010242, norm of subgrad 44.723964 stepsize= 1.000000
+dualbound = 1706747.076917, lowerbound=1066733.076917, norm of subgrad 1033.576353 dualbound = 1706747.076917, lowerbound=1066733.076917, norm of subgrad 43.612689 stepsize= 1.000000
+dualbound = 1707149.763637, lowerbound=1067913.763637, norm of subgrad 1034.155097 dualbound = 1707149.763637, lowerbound=1067913.763637, norm of subgrad 44.336066 stepsize= 1.000000
+dualbound = 1707475.414579, lowerbound=1068129.414579, norm of subgrad 1034.294162 dualbound = 1707475.414579, lowerbound=1068129.414579, norm of subgrad 44.279238 stepsize= 1.000000
+dualbound = 1707834.519228, lowerbound=1068523.519228, norm of subgrad 1034.486597 dualbound = 1707834.519228, lowerbound=1068523.519228, norm of subgrad 44.700164 stepsize= 1.000000
+dualbound = 1708192.916781, lowerbound=1068567.916781, norm of subgrad 1034.495972 dualbound = 1708192.916781, lowerbound=1068567.916781, norm of subgrad 44.411683 stepsize= 1.000000
+dualbound = 1708548.526242, lowerbound=1067030.526242, norm of subgrad 1033.747806 dualbound = 1708548.526242, lowerbound=1067030.526242, norm of subgrad 44.267476 stepsize= 1.000000
+dualbound = 1708913.737072, lowerbound=1067819.737072, norm of subgrad 1034.117855 dualbound = 1708913.737072, lowerbound=1067819.737072, norm of subgrad 44.104544 stepsize= 1.000000
+dualbound = 1709285.778807, lowerbound=1068838.778807, norm of subgrad 1034.582901 dualbound = 1709285.778807, lowerbound=1068838.778807, norm of subgrad 43.532077 stepsize= 1.000000
+dualbound = 1709628.418631, lowerbound=1068885.418631, norm of subgrad 1034.642169 dualbound = 1709628.418631, lowerbound=1068885.418631, norm of subgrad 44.064042 stepsize= 1.000000
+dualbound = 1710001.576105, lowerbound=1065716.576105, norm of subgrad 1033.105307 dualbound = 1710001.576105, lowerbound=1065716.576105, norm of subgrad 44.307533 stepsize= 1.000000
+dualbound = 1710322.246018, lowerbound=1068569.246018, norm of subgrad 1034.530930 dualbound = 1710322.246018, lowerbound=1068569.246018, norm of subgrad 44.784706 stepsize= 1.000000
+dualbound = 1710673.949933, lowerbound=1068657.949933, norm of subgrad 1034.537070 dualbound = 1710673.949933, lowerbound=1068657.949933, norm of subgrad 44.279836 stepsize= 1.000000
+dualbound = 1711064.656526, lowerbound=1069590.656526, norm of subgrad 1034.970365 dualbound = 1711064.656526, lowerbound=1069590.656526, norm of subgrad 44.313729 stepsize= 1.000000
+dualbound = 1711426.166081, lowerbound=1066891.166081, norm of subgrad 1033.647022 dualbound = 1711426.166081, lowerbound=1066891.166081, norm of subgrad 43.548933 stepsize= 1.000000
+dualbound = 1711792.124059, lowerbound=1069677.124059, norm of subgrad 1035.002475 dualbound = 1711792.124059, lowerbound=1069677.124059, norm of subgrad 43.805913 stepsize= 1.000000
+dualbound = 1712134.017285, lowerbound=1068912.017285, norm of subgrad 1034.621678 dualbound = 1712134.017285, lowerbound=1068912.017285, norm of subgrad 43.265381 stepsize= 1.000000
+dualbound = 1712513.463529, lowerbound=1066168.463529, norm of subgrad 1033.321084 dualbound = 1712513.463529, lowerbound=1066168.463529, norm of subgrad 44.310792 stepsize= 1.000000
+dualbound = 1712825.127413, lowerbound=1067955.127413, norm of subgrad 1034.203136 dualbound = 1712825.127413, lowerbound=1067955.127413, norm of subgrad 43.962073 stepsize= 1.000000
+dualbound = 1713188.947979, lowerbound=1069241.947979, norm of subgrad 1034.784977 dualbound = 1713188.947979, lowerbound=1069241.947979, norm of subgrad 43.609868 stepsize= 1.000000
+dualbound = 1713588.207847, lowerbound=1072165.207847, norm of subgrad 1036.197475 dualbound = 1713588.207847, lowerbound=1072165.207847, norm of subgrad 44.037028 stepsize= 1.000000
+dualbound = 1713911.076146, lowerbound=1065034.076146, norm of subgrad 1032.779297 dualbound = 1713911.076146, lowerbound=1065034.076146, norm of subgrad 43.839118 stepsize= 1.000000
+dualbound = 1714273.301984, lowerbound=1069714.301984, norm of subgrad 1035.033962 dualbound = 1714273.301984, lowerbound=1069714.301984, norm of subgrad 44.082035 stepsize= 1.000000
+dualbound = 1714631.546962, lowerbound=1070796.546962, norm of subgrad 1035.569190 dualbound = 1714631.546962, lowerbound=1070796.546962, norm of subgrad 44.331084 stepsize= 1.000000
+dualbound = 1714998.196894, lowerbound=1068467.196894, norm of subgrad 1034.453574 dualbound = 1714998.196894, lowerbound=1068467.196894, norm of subgrad 44.650307 stepsize= 1.000000
+dualbound = 1715333.013045, lowerbound=1067854.013045, norm of subgrad 1034.117504 dualbound = 1715333.013045, lowerbound=1067854.013045, norm of subgrad 43.356847 stepsize= 1.000000
+dualbound = 1715718.177401, lowerbound=1071045.177401, norm of subgrad 1035.695021 dualbound = 1715718.177401, lowerbound=1071045.177401, norm of subgrad 44.767894 stepsize= 1.000000
+dualbound = 1716058.610723, lowerbound=1065429.610723, norm of subgrad 1032.959637 dualbound = 1716058.610723, lowerbound=1065429.610723, norm of subgrad 43.777087 stepsize= 1.000000
+dualbound = 1716450.757491, lowerbound=1068266.757491, norm of subgrad 1034.332034 dualbound = 1716450.757491, lowerbound=1068266.757491, norm of subgrad 44.363800 stepsize= 1.000000
+dualbound = 1716743.356710, lowerbound=1071434.356710, norm of subgrad 1035.925845 dualbound = 1716743.356710, lowerbound=1071434.356710, norm of subgrad 44.728059 stepsize= 1.000000
+dualbound = 1717122.391229, lowerbound=1068002.391229, norm of subgrad 1034.213417 dualbound = 1717122.391229, lowerbound=1068002.391229, norm of subgrad 44.430108 stepsize= 1.000000
+dualbound = 1717479.914247, lowerbound=1069118.914247, norm of subgrad 1034.750653 dualbound = 1717479.914247, lowerbound=1069118.914247, norm of subgrad 44.130749 stepsize= 1.000000
+dualbound = 1717832.343204, lowerbound=1069890.343204, norm of subgrad 1035.125279 dualbound = 1717832.343204, lowerbound=1069890.343204, norm of subgrad 44.118352 stepsize= 1.000000
+dualbound = 1718210.988683, lowerbound=1069169.988683, norm of subgrad 1034.773400 dualbound = 1718210.988683, lowerbound=1069169.988683, norm of subgrad 44.324322 stepsize= 1.000000
+dualbound = 1718546.022973, lowerbound=1066393.022973, norm of subgrad 1033.434576 dualbound = 1718546.022973, lowerbound=1066393.022973, norm of subgrad 43.920773 stepsize= 1.000000
+dualbound = 1718911.903422, lowerbound=1069770.903422, norm of subgrad 1035.043914 dualbound = 1718911.903422, lowerbound=1069770.903422, norm of subgrad 43.713619 stepsize= 1.000000
+dualbound = 1719289.268829, lowerbound=1071552.268829, norm of subgrad 1035.924837 dualbound = 1719289.268829, lowerbound=1071552.268829, norm of subgrad 44.332442 stepsize= 1.000000
+dualbound = 1719625.955548, lowerbound=1067606.955548, norm of subgrad 1034.033827 dualbound = 1719625.955548, lowerbound=1067606.955548, norm of subgrad 44.223147 stepsize= 1.000000
+dualbound = 1719966.787517, lowerbound=1070767.787517, norm of subgrad 1035.537439 dualbound = 1719966.787517, lowerbound=1070767.787517, norm of subgrad 43.713064 stepsize= 1.000000
+dualbound = 1720348.678276, lowerbound=1065857.678276, norm of subgrad 1033.178919 dualbound = 1720348.678276, lowerbound=1065857.678276, norm of subgrad 44.529662 stepsize= 1.000000
+dualbound = 1720687.231596, lowerbound=1070763.231596, norm of subgrad 1035.507234 dualbound = 1720687.231596, lowerbound=1070763.231596, norm of subgrad 43.018058 stepsize= 1.000000
+dualbound = 1721075.281269, lowerbound=1066236.281269, norm of subgrad 1033.329706 dualbound = 1721075.281269, lowerbound=1066236.281269, norm of subgrad 43.841187 stepsize= 1.000000
+dualbound = 1721425.400065, lowerbound=1070346.400065, norm of subgrad 1035.321399 dualbound = 1721425.400065, lowerbound=1070346.400065, norm of subgrad 43.521475 stepsize= 1.000000
+dualbound = 1721756.627163, lowerbound=1070669.627163, norm of subgrad 1035.510805 dualbound = 1721756.627163, lowerbound=1070669.627163, norm of subgrad 44.093391 stepsize= 1.000000
+dualbound = 1722100.493859, lowerbound=1071180.493859, norm of subgrad 1035.743450 dualbound = 1722100.493859, lowerbound=1071180.493859, norm of subgrad 43.907479 stepsize= 1.000000
+dualbound = 1722478.460963, lowerbound=1068647.460963, norm of subgrad 1034.507352 dualbound = 1722478.460963, lowerbound=1068647.460963, norm of subgrad 43.999626 stepsize= 1.000000
+dualbound = 1722817.986267, lowerbound=1071036.986267, norm of subgrad 1035.653410 dualbound = 1722817.986267, lowerbound=1071036.986267, norm of subgrad 43.365024 stepsize= 1.000000
+dualbound = 1723167.473052, lowerbound=1070233.473052, norm of subgrad 1035.263480 dualbound = 1723167.473052, lowerbound=1070233.473052, norm of subgrad 43.433706 stepsize= 1.000000
+dualbound = 1723514.535209, lowerbound=1070143.535209, norm of subgrad 1035.276067 dualbound = 1723514.535209, lowerbound=1070143.535209, norm of subgrad 44.722054 stepsize= 1.000000
+dualbound = 1723861.267170, lowerbound=1069706.267170, norm of subgrad 1035.019453 dualbound = 1723861.267170, lowerbound=1069706.267170, norm of subgrad 43.654690 stepsize= 1.000000
+dualbound = 1724249.240803, lowerbound=1072858.240803, norm of subgrad 1036.545822 dualbound = 1724249.240803, lowerbound=1072858.240803, norm of subgrad 44.237695 stepsize= 1.000000
+dualbound = 1724565.176549, lowerbound=1068493.176549, norm of subgrad 1034.467581 dualbound = 1724565.176549, lowerbound=1068493.176549, norm of subgrad 44.112762 stepsize= 1.000000
+dualbound = 1724920.541752, lowerbound=1074024.541752, norm of subgrad 1037.091868 dualbound = 1724920.541752, lowerbound=1074024.541752, norm of subgrad 43.478330 stepsize= 1.000000
+dualbound = 1725290.022821, lowerbound=1066841.022821, norm of subgrad 1033.681297 dualbound = 1725290.022821, lowerbound=1066841.022821, norm of subgrad 45.005345 stepsize= 1.000000
+dualbound = 1725601.435951, lowerbound=1070348.435951, norm of subgrad 1035.343632 dualbound = 1725601.435951, lowerbound=1070348.435951, norm of subgrad 43.582257 stepsize= 1.000000
+dualbound = 1725978.789279, lowerbound=1068485.789279, norm of subgrad 1034.421959 dualbound = 1725978.789279, lowerbound=1068485.789279, norm of subgrad 43.821836 stepsize= 1.000000
+dualbound = 1726330.571444, lowerbound=1070184.571444, norm of subgrad 1035.274153 dualbound = 1726330.571444, lowerbound=1070184.571444, norm of subgrad 44.269427 stepsize= 1.000000
+dualbound = 1726672.395781, lowerbound=1068664.395781, norm of subgrad 1034.528586 dualbound = 1726672.395781, lowerbound=1068664.395781, norm of subgrad 43.895607 stepsize= 1.000000
+dualbound = 1727031.217498, lowerbound=1073727.217498, norm of subgrad 1036.967800 dualbound = 1727031.217498, lowerbound=1073727.217498, norm of subgrad 43.975240 stepsize= 1.000000
+dualbound = 1727385.147231, lowerbound=1067802.147231, norm of subgrad 1034.112734 dualbound = 1727385.147231, lowerbound=1067802.147231, norm of subgrad 44.055984 stepsize= 1.000000
+dualbound = 1727738.206264, lowerbound=1074715.206264, norm of subgrad 1037.430097 dualbound = 1727738.206264, lowerbound=1074715.206264, norm of subgrad 43.578194 stepsize= 1.000000
+dualbound = 1728096.507698, lowerbound=1066676.507698, norm of subgrad 1033.539311 dualbound = 1728096.507698, lowerbound=1066676.507698, norm of subgrad 43.420058 stepsize= 1.000000
+dualbound = 1728487.721638, lowerbound=1069199.721638, norm of subgrad 1034.779069 dualbound = 1728487.721638, lowerbound=1069199.721638, norm of subgrad 44.263009 stepsize= 1.000000
+dualbound = 1728780.775799, lowerbound=1068481.775799, norm of subgrad 1034.433070 dualbound = 1728780.775799, lowerbound=1068481.775799, norm of subgrad 43.163111 stepsize= 1.000000
+dualbound = 1729161.967981, lowerbound=1072063.967981, norm of subgrad 1036.124977 dualbound = 1729161.967981, lowerbound=1072063.967981, norm of subgrad 43.268836 stepsize= 1.000000
+dualbound = 1729505.392250, lowerbound=1069320.392250, norm of subgrad 1034.875061 dualbound = 1729505.392250, lowerbound=1069320.392250, norm of subgrad 44.602963 stepsize= 1.000000
+dualbound = 1729811.228584, lowerbound=1072011.228584, norm of subgrad 1036.173358 dualbound = 1729811.228584, lowerbound=1072011.228584, norm of subgrad 44.156951 stepsize= 1.000000
+dualbound = 1730192.544633, lowerbound=1072675.544633, norm of subgrad 1036.479399 dualbound = 1730192.544633, lowerbound=1072675.544633, norm of subgrad 44.668961 stepsize= 1.000000
+dualbound = 1730538.029619, lowerbound=1070224.029619, norm of subgrad 1035.270993 dualbound = 1730538.029619, lowerbound=1070224.029619, norm of subgrad 43.674764 stepsize= 1.000000
+dualbound = 1730903.086806, lowerbound=1067864.086806, norm of subgrad 1034.143649 dualbound = 1730903.086806, lowerbound=1067864.086806, norm of subgrad 44.204719 stepsize= 1.000000
+dualbound = 1731234.691201, lowerbound=1070031.691201, norm of subgrad 1035.191621 dualbound = 1731234.691201, lowerbound=1070031.691201, norm of subgrad 43.836108 stepsize= 1.000000
+dualbound = 1731587.871336, lowerbound=1071563.871336, norm of subgrad 1035.930920 dualbound = 1731587.871336, lowerbound=1071563.871336, norm of subgrad 44.070173 stepsize= 1.000000
+dualbound = 1731967.308019, lowerbound=1073006.308019, norm of subgrad 1036.630748 dualbound = 1731967.308019, lowerbound=1073006.308019, norm of subgrad 44.457133 stepsize= 1.000000
+dualbound = 1732282.657953, lowerbound=1072541.657953, norm of subgrad 1036.387311 dualbound = 1732282.657953, lowerbound=1072541.657953, norm of subgrad 43.270659 stepsize= 1.000000
+dualbound = 1732660.709909, lowerbound=1068111.709909, norm of subgrad 1034.226141 dualbound = 1732660.709909, lowerbound=1068111.709909, norm of subgrad 43.474728 stepsize= 1.000000
+dualbound = 1733017.449303, lowerbound=1068961.449303, norm of subgrad 1034.657648 dualbound = 1733017.449303, lowerbound=1068961.449303, norm of subgrad 43.723442 stepsize= 1.000000
+dualbound = 1733338.351436, lowerbound=1071903.351436, norm of subgrad 1036.118406 dualbound = 1733338.351436, lowerbound=1071903.351436, norm of subgrad 44.259486 stepsize= 1.000000
+dualbound = 1733698.199418, lowerbound=1069239.199418, norm of subgrad 1034.798144 dualbound = 1733698.199418, lowerbound=1069239.199418, norm of subgrad 43.907266 stepsize= 1.000000
+dualbound = 1734023.580116, lowerbound=1073164.580116, norm of subgrad 1036.703709 dualbound = 1734023.580116, lowerbound=1073164.580116, norm of subgrad 43.765063 stepsize= 1.000000
+dualbound = 1734398.410770, lowerbound=1068548.410770, norm of subgrad 1034.470111 dualbound = 1734398.410770, lowerbound=1068548.410770, norm of subgrad 44.213467 stepsize= 1.000000
+dualbound = 1734720.615446, lowerbound=1073706.615446, norm of subgrad 1036.956901 dualbound = 1734720.615446, lowerbound=1073706.615446, norm of subgrad 43.533949 stepsize= 1.000000
+dualbound = 1735125.835461, lowerbound=1068230.835461, norm of subgrad 1034.276479 dualbound = 1735125.835461, lowerbound=1068230.835461, norm of subgrad 43.614447 stepsize= 1.000000
+dualbound = 1735441.340203, lowerbound=1071412.340203, norm of subgrad 1035.865503 dualbound = 1735441.340203, lowerbound=1071412.340203, norm of subgrad 43.823564 stepsize= 1.000000
+dualbound = 1735784.193887, lowerbound=1070093.193887, norm of subgrad 1035.235816 dualbound = 1735784.193887, lowerbound=1070093.193887, norm of subgrad 44.304105 stepsize= 1.000000
+dualbound = 1736138.837352, lowerbound=1071875.837352, norm of subgrad 1036.058800 dualbound = 1736138.837352, lowerbound=1071875.837352, norm of subgrad 43.550470 stepsize= 1.000000
+dualbound = 1736484.041066, lowerbound=1070083.041066, norm of subgrad 1035.214007 dualbound = 1736484.041066, lowerbound=1070083.041066, norm of subgrad 43.934084 stepsize= 1.000000
+dualbound = 1736814.770431, lowerbound=1071293.770431, norm of subgrad 1035.825164 dualbound = 1736814.770431, lowerbound=1071293.770431, norm of subgrad 44.392898 stepsize= 1.000000
+dualbound = 1737169.352934, lowerbound=1074819.352934, norm of subgrad 1037.533784 dualbound = 1737169.352934, lowerbound=1074819.352934, norm of subgrad 44.850669 stepsize= 1.000000
+dualbound = 1737496.640265, lowerbound=1071399.640265, norm of subgrad 1035.838617 dualbound = 1737496.640265, lowerbound=1071399.640265, norm of subgrad 43.465933 stepsize= 1.000000
+dualbound = 1737914.155834, lowerbound=1068823.155834, norm of subgrad 1034.592266 dualbound = 1737914.155834, lowerbound=1068823.155834, norm of subgrad 44.446772 stepsize= 1.000000
+dualbound = 1738219.826539, lowerbound=1071190.826539, norm of subgrad 1035.706438 dualbound = 1738219.826539, lowerbound=1071190.826539, norm of subgrad 42.457870 stepsize= 1.000000
+dualbound = 1738605.307082, lowerbound=1069889.307082, norm of subgrad 1035.079855 dualbound = 1738605.307082, lowerbound=1069889.307082, norm of subgrad 43.433634 stepsize= 1.000000
+dualbound = 1738933.105830, lowerbound=1073276.105830, norm of subgrad 1036.764248 dualbound = 1738933.105830, lowerbound=1073276.105830, norm of subgrad 43.952233 stepsize= 1.000000
+dualbound = 1739249.849391, lowerbound=1073658.849391, norm of subgrad 1036.978712 dualbound = 1739249.849391, lowerbound=1073658.849391, norm of subgrad 44.528009 stepsize= 1.000000
+dualbound = 1739617.312782, lowerbound=1070447.312782, norm of subgrad 1035.394762 dualbound = 1739617.312782, lowerbound=1070447.312782, norm of subgrad 44.299700 stepsize= 1.000000
+dualbound = 1739975.108038, lowerbound=1073109.108038, norm of subgrad 1036.658144 dualbound = 1739975.108038, lowerbound=1073109.108038, norm of subgrad 43.689761 stepsize= 1.000000
+dualbound = 1740314.248985, lowerbound=1069659.248985, norm of subgrad 1034.997705 dualbound = 1740314.248985, lowerbound=1069659.248985, norm of subgrad 43.590606 stepsize= 1.000000
+dualbound = 1740679.963259, lowerbound=1069618.963259, norm of subgrad 1034.939594 dualbound = 1740679.963259, lowerbound=1069618.963259, norm of subgrad 42.973414 stepsize= 1.000000
+dualbound = 1741048.688237, lowerbound=1076042.688237, norm of subgrad 1038.099074 dualbound = 1741048.688237, lowerbound=1076042.688237, norm of subgrad 44.449128 stepsize= 1.000000
+dualbound = 1741333.987281, lowerbound=1067420.987281, norm of subgrad 1033.965661 dualbound = 1741333.987281, lowerbound=1067420.987281, norm of subgrad 44.150867 stepsize= 1.000000
+dualbound = 1741685.245094, lowerbound=1074877.245094, norm of subgrad 1037.541443 dualbound = 1741685.245094, lowerbound=1074877.245094, norm of subgrad 44.342506 stepsize= 1.000000
+dualbound = 1742048.414670, lowerbound=1070087.414670, norm of subgrad 1035.214188 dualbound = 1742048.414670, lowerbound=1070087.414670, norm of subgrad 44.092738 stepsize= 1.000000
+dualbound = 1742409.146523, lowerbound=1073606.146523, norm of subgrad 1036.915689 dualbound = 1742409.146523, lowerbound=1073606.146523, norm of subgrad 44.144443 stepsize= 1.000000
+dualbound = 1742741.867795, lowerbound=1068806.867795, norm of subgrad 1034.618223 dualbound = 1742741.867795, lowerbound=1068806.867795, norm of subgrad 44.280032 stepsize= 1.000000
+dualbound = 1743084.521235, lowerbound=1074822.521235, norm of subgrad 1037.481817 dualbound = 1743084.521235, lowerbound=1074822.521235, norm of subgrad 43.458641 stepsize= 1.000000
+dualbound = 1743470.995748, lowerbound=1069168.995748, norm of subgrad 1034.753109 dualbound = 1743470.995748, lowerbound=1069168.995748, norm of subgrad 43.948544 stepsize= 1.000000
+dualbound = 1743775.752578, lowerbound=1073359.752578, norm of subgrad 1036.838344 dualbound = 1743775.752578, lowerbound=1073359.752578, norm of subgrad 44.483220 stepsize= 1.000000
+dualbound = 1744121.973934, lowerbound=1071749.973934, norm of subgrad 1036.021223 dualbound = 1744121.973934, lowerbound=1071749.973934, norm of subgrad 44.002515 stepsize= 1.000000
+dualbound = 1744485.245502, lowerbound=1075918.245502, norm of subgrad 1038.047323 dualbound = 1744485.245502, lowerbound=1075918.245502, norm of subgrad 44.578824 stepsize= 1.000000
+dualbound = 1744822.193760, lowerbound=1069595.193760, norm of subgrad 1034.969175 dualbound = 1744822.193760, lowerbound=1069595.193760, norm of subgrad 43.622795 stepsize= 1.000000
+dualbound = 1745181.197883, lowerbound=1073149.197883, norm of subgrad 1036.663011 dualbound = 1745181.197883, lowerbound=1073149.197883, norm of subgrad 43.359014 stepsize= 1.000000
+dualbound = 1745525.292133, lowerbound=1069478.292133, norm of subgrad 1034.899170 dualbound = 1745525.292133, lowerbound=1069478.292133, norm of subgrad 43.383110 stepsize= 1.000000
+dualbound = 1745863.408019, lowerbound=1073873.408018, norm of subgrad 1037.032983 dualbound = 1745863.408019, lowerbound=1073873.408018, norm of subgrad 43.613254 stepsize= 1.000000
+dualbound = 1746210.774254, lowerbound=1069721.774254, norm of subgrad 1035.020664 dualbound = 1746210.774254, lowerbound=1069721.774254, norm of subgrad 43.512828 stepsize= 1.000000
+dualbound = 1746576.078281, lowerbound=1072324.078281, norm of subgrad 1036.277028 dualbound = 1746576.078281, lowerbound=1072324.078281, norm of subgrad 43.718463 stepsize= 1.000000
+dualbound = 1746900.866955, lowerbound=1069891.866955, norm of subgrad 1035.113456 dualbound = 1746900.866955, lowerbound=1069891.866955, norm of subgrad 43.506191 stepsize= 1.000000
+dualbound = 1747253.101459, lowerbound=1077697.101459, norm of subgrad 1038.904279 dualbound = 1747253.101459, lowerbound=1077697.101459, norm of subgrad 44.466105 stepsize= 1.000000
+dualbound = 1747563.814837, lowerbound=1070034.814837, norm of subgrad 1035.192646 dualbound = 1747563.814837, lowerbound=1070034.814837, norm of subgrad 43.585702 stepsize= 1.000000
+dualbound = 1747938.244998, lowerbound=1074116.244998, norm of subgrad 1037.123062 dualbound = 1747938.244998, lowerbound=1074116.244998, norm of subgrad 43.386981 stepsize= 1.000000
+dualbound = 1748302.677859, lowerbound=1073072.677859, norm of subgrad 1036.652149 dualbound = 1748302.677859, lowerbound=1073072.677859, norm of subgrad 44.038993 stepsize= 1.000000
+dualbound = 1748635.920746, lowerbound=1072648.920746, norm of subgrad 1036.428927 dualbound = 1748635.920746, lowerbound=1072648.920746, norm of subgrad 43.234742 stepsize= 1.000000
+dualbound = 1748994.139313, lowerbound=1072880.139313, norm of subgrad 1036.560726 dualbound = 1748994.139313, lowerbound=1072880.139313, norm of subgrad 44.002484 stepsize= 1.000000
+dualbound = 1749306.921337, lowerbound=1072787.921337, norm of subgrad 1036.533608 dualbound = 1749306.921337, lowerbound=1072787.921337, norm of subgrad 43.895125 stepsize= 1.000000
+dualbound = 1749667.454597, lowerbound=1073514.454597, norm of subgrad 1036.857972 dualbound = 1749667.454597, lowerbound=1073514.454597, norm of subgrad 43.823889 stepsize= 1.000000
+dualbound = 1750002.746998, lowerbound=1071779.746998, norm of subgrad 1036.002774 dualbound = 1750002.746998, lowerbound=1071779.746998, norm of subgrad 43.096315 stepsize= 1.000000
+dualbound = 1750373.216719, lowerbound=1072817.216719, norm of subgrad 1036.495160 dualbound = 1750373.216719, lowerbound=1072817.216719, norm of subgrad 43.306694 stepsize= 1.000000
+dualbound = 1750702.635300, lowerbound=1071736.635300, norm of subgrad 1035.995480 dualbound = 1750702.635300, lowerbound=1071736.635300, norm of subgrad 43.352262 stepsize= 1.000000
+dualbound = 1751036.073539, lowerbound=1074627.073539, norm of subgrad 1037.402079 dualbound = 1751036.073539, lowerbound=1074627.073539, norm of subgrad 43.697119 stepsize= 1.000000
+dualbound = 1751386.746682, lowerbound=1071700.746682, norm of subgrad 1035.967541 dualbound = 1751386.746682, lowerbound=1071700.746682, norm of subgrad 43.343663 stepsize= 1.000000
+dualbound = 1751741.522420, lowerbound=1073314.522420, norm of subgrad 1036.751910 dualbound = 1751741.522420, lowerbound=1073314.522420, norm of subgrad 43.529022 stepsize= 1.000000
+dualbound = 1752084.648639, lowerbound=1072366.648639, norm of subgrad 1036.293225 dualbound = 1752084.648639, lowerbound=1072366.648639, norm of subgrad 43.360422 stepsize= 1.000000
+dualbound = 1752391.139312, lowerbound=1072961.139312, norm of subgrad 1036.622467 dualbound = 1752391.139312, lowerbound=1072961.139312, norm of subgrad 43.948728 stepsize= 1.000000
+dualbound = 1752742.108501, lowerbound=1071553.108501, norm of subgrad 1035.920899 dualbound = 1752742.108501, lowerbound=1071553.108501, norm of subgrad 43.931415 stepsize= 1.000000
+dualbound = 1753105.038395, lowerbound=1072501.038395, norm of subgrad 1036.383152 dualbound = 1753105.038395, lowerbound=1072501.038395, norm of subgrad 44.180651 stepsize= 1.000000
+dualbound = 1753449.838202, lowerbound=1074617.838202, norm of subgrad 1037.361961 dualbound = 1753449.838202, lowerbound=1074617.838202, norm of subgrad 42.974409 stepsize= 1.000000
+dualbound = 1753808.488107, lowerbound=1070883.488107, norm of subgrad 1035.571576 dualbound = 1753808.488107, lowerbound=1070883.488107, norm of subgrad 43.401036 stepsize= 1.000000
+dualbound = 1754145.353588, lowerbound=1073027.353588, norm of subgrad 1036.624500 dualbound = 1754145.353588, lowerbound=1073027.353588, norm of subgrad 43.587446 stepsize= 1.000000
+dualbound = 1754471.559039, lowerbound=1075151.559039, norm of subgrad 1037.646163 dualbound = 1754471.559039, lowerbound=1075151.559039, norm of subgrad 43.407435 stepsize= 1.000000
+dualbound = 1754830.702390, lowerbound=1071020.702390, norm of subgrad 1035.688033 dualbound = 1754830.702390, lowerbound=1071020.702390, norm of subgrad 44.588601 stepsize= 1.000000
+dualbound = 1755156.815231, lowerbound=1074361.815231, norm of subgrad 1037.302663 dualbound = 1755156.815231, lowerbound=1074361.815231, norm of subgrad 44.284454 stepsize= 1.000000
+dualbound = 1755490.846922, lowerbound=1074156.846922, norm of subgrad 1037.168669 dualbound = 1755490.846922, lowerbound=1074156.846922, norm of subgrad 43.543446 stepsize= 1.000000
+dualbound = 1755852.895446, lowerbound=1071803.895446, norm of subgrad 1036.018772 dualbound = 1755852.895446, lowerbound=1071803.895446, norm of subgrad 43.509177 stepsize= 1.000000
+dualbound = 1756217.488227, lowerbound=1071420.488227, norm of subgrad 1035.846749 dualbound = 1756217.488227, lowerbound=1071420.488227, norm of subgrad 43.847381 stepsize= 1.000000
+dualbound = 1756528.128260, lowerbound=1075262.128260, norm of subgrad 1037.731241 dualbound = 1756528.128260, lowerbound=1075262.128260, norm of subgrad 43.984543 stepsize= 1.000000
+dualbound = 1756879.125621, lowerbound=1071843.125621, norm of subgrad 1036.084034 dualbound = 1756879.125621, lowerbound=1071843.125621, norm of subgrad 44.474682 stepsize= 1.000000
+dualbound = 1757216.062772, lowerbound=1073664.062772, norm of subgrad 1036.957117 dualbound = 1757216.062772, lowerbound=1073664.062772, norm of subgrad 44.192049 stepsize= 1.000000
+dualbound = 1757573.064610, lowerbound=1073134.064610, norm of subgrad 1036.660053 dualbound = 1757573.064610, lowerbound=1073134.064610, norm of subgrad 43.439634 stepsize= 1.000000
+dualbound = 1757924.763171, lowerbound=1072258.763171, norm of subgrad 1036.298588 dualbound = 1757924.763171, lowerbound=1072258.763171, norm of subgrad 44.807349 stepsize= 1.000000
+dualbound = 1758242.107741, lowerbound=1074405.107741, norm of subgrad 1037.266652 dualbound = 1758242.107741, lowerbound=1074405.107741, norm of subgrad 42.829249 stepsize= 1.000000
+dualbound = 1758624.650289, lowerbound=1074200.650289, norm of subgrad 1037.187375 dualbound = 1758624.650289, lowerbound=1074200.650289, norm of subgrad 44.040238 stepsize= 1.000000
+dualbound = 1758956.046182, lowerbound=1069858.046182, norm of subgrad 1035.123686 dualbound = 1758956.046182, lowerbound=1069858.046182, norm of subgrad 44.208550 stepsize= 1.000000
+dualbound = 1759286.582130, lowerbound=1075242.582130, norm of subgrad 1037.697732 dualbound = 1759286.582130, lowerbound=1075242.582130, norm of subgrad 43.640989 stepsize= 1.000000
+dualbound = 1759633.552148, lowerbound=1073156.552148, norm of subgrad 1036.684886 dualbound = 1759633.552148, lowerbound=1073156.552148, norm of subgrad 43.657417 stepsize= 1.000000
+dualbound = 1759987.804025, lowerbound=1076086.804025, norm of subgrad 1038.103465 dualbound = 1759987.804025, lowerbound=1076086.804025, norm of subgrad 43.889086 stepsize= 1.000000
+dualbound = 1760315.151123, lowerbound=1071128.151123, norm of subgrad 1035.717699 dualbound = 1760315.151123, lowerbound=1071128.151123, norm of subgrad 43.707518 stepsize= 1.000000
+dualbound = 1760640.989188, lowerbound=1072259.989188, norm of subgrad 1036.252377 dualbound = 1760640.989188, lowerbound=1072259.989188, norm of subgrad 43.414722 stepsize= 1.000000
+dualbound = 1761016.825745, lowerbound=1072569.825745, norm of subgrad 1036.406689 dualbound = 1761016.825745, lowerbound=1072569.825745, norm of subgrad 44.100301 stepsize= 1.000000
+dualbound = 1761338.154083, lowerbound=1074997.154083, norm of subgrad 1037.647413 dualbound = 1761338.154083, lowerbound=1074997.154083, norm of subgrad 45.125695 stepsize= 1.000000
+dualbound = 1761661.017309, lowerbound=1071311.017309, norm of subgrad 1035.819973 dualbound = 1761661.017309, lowerbound=1071311.017309, norm of subgrad 43.987080 stepsize= 1.000000
+dualbound = 1762030.549097, lowerbound=1073471.549097, norm of subgrad 1036.829566 dualbound = 1762030.549097, lowerbound=1073471.549097, norm of subgrad 43.743934 stepsize= 1.000000
+dualbound = 1762395.129398, lowerbound=1071573.129398, norm of subgrad 1035.899671 dualbound = 1762395.129398, lowerbound=1071573.129398, norm of subgrad 43.354127 stepsize= 1.000000
+dualbound = 1762728.825719, lowerbound=1076699.825719, norm of subgrad 1038.376534 dualbound = 1762728.825719, lowerbound=1076699.825719, norm of subgrad 43.124196 stepsize= 1.000000
+dualbound = 1763068.348663, lowerbound=1072771.348663, norm of subgrad 1036.501495 dualbound = 1763068.348663, lowerbound=1072771.348663, norm of subgrad 43.629382 stepsize= 1.000000
+dualbound = 1763406.914081, lowerbound=1074837.914081, norm of subgrad 1037.488272 dualbound = 1763406.914081, lowerbound=1074837.914081, norm of subgrad 43.388540 stepsize= 1.000000
+dualbound = 1763735.521446, lowerbound=1072807.521446, norm of subgrad 1036.524733 dualbound = 1763735.521446, lowerbound=1072807.521446, norm of subgrad 43.641808 stepsize= 1.000000
+dualbound = 1764093.123049, lowerbound=1078305.123049, norm of subgrad 1039.162703 dualbound = 1764093.123049, lowerbound=1078305.123049, norm of subgrad 43.721866 stepsize= 1.000000
+dualbound = 1764446.945428, lowerbound=1070000.945428, norm of subgrad 1035.159382 dualbound = 1764446.945428, lowerbound=1070000.945428, norm of subgrad 43.678626 stepsize= 1.000000
+dualbound = 1764759.856669, lowerbound=1076092.856669, norm of subgrad 1038.119385 dualbound = 1764759.856669, lowerbound=1076092.856669, norm of subgrad 43.725407 stepsize= 1.000000
+dualbound = 1765112.418119, lowerbound=1075561.418119, norm of subgrad 1037.842193 dualbound = 1765112.418119, lowerbound=1075561.418119, norm of subgrad 43.675639 stepsize= 1.000000
+dualbound = 1765466.893628, lowerbound=1072822.893628, norm of subgrad 1036.493075 dualbound = 1765466.893628, lowerbound=1072822.893628, norm of subgrad 43.005529 stepsize= 1.000000
+dualbound = 1765811.727027, lowerbound=1074058.727027, norm of subgrad 1037.088582 dualbound = 1765811.727027, lowerbound=1074058.727027, norm of subgrad 42.881621 stepsize= 1.000000
+dualbound = 1766134.027257, lowerbound=1074186.027257, norm of subgrad 1037.223229 dualbound = 1766134.027257, lowerbound=1074186.027257, norm of subgrad 44.365530 stepsize= 1.000000
+dualbound = 1766442.515633, lowerbound=1074785.515633, norm of subgrad 1037.463501 dualbound = 1766442.515633, lowerbound=1074785.515633, norm of subgrad 43.052159 stepsize= 1.000000
+dualbound = 1766831.732232, lowerbound=1074823.732232, norm of subgrad 1037.455412 dualbound = 1766831.732232, lowerbound=1074823.732232, norm of subgrad 43.349932 stepsize= 1.000000
+dualbound = 1767157.477669, lowerbound=1073696.477669, norm of subgrad 1036.947191 dualbound = 1767157.477669, lowerbound=1073696.477669, norm of subgrad 43.459699 stepsize= 1.000000
+dualbound = 1767487.679848, lowerbound=1074555.679848, norm of subgrad 1037.372006 dualbound = 1767487.679848, lowerbound=1074555.679848, norm of subgrad 43.763023 stepsize= 1.000000
+dualbound = 1767807.710505, lowerbound=1076199.710505, norm of subgrad 1038.141469 dualbound = 1767807.710505, lowerbound=1076199.710505, norm of subgrad 43.104880 stepsize= 1.000000
+dualbound = 1768179.834550, lowerbound=1071106.834550, norm of subgrad 1035.678442 dualbound = 1768179.834550, lowerbound=1071106.834550, norm of subgrad 43.533022 stepsize= 1.000000
+dualbound = 1768511.623989, lowerbound=1076241.623989, norm of subgrad 1038.185737 dualbound = 1768511.623989, lowerbound=1076241.623989, norm of subgrad 43.815402 stepsize= 1.000000
+dualbound = 1768843.447689, lowerbound=1075433.447689, norm of subgrad 1037.768976 dualbound = 1768843.447689, lowerbound=1075433.447689, norm of subgrad 43.160441 stepsize= 1.000000
+dualbound = 1769188.293448, lowerbound=1077591.293448, norm of subgrad 1038.851911 dualbound = 1769188.293448, lowerbound=1077591.293448, norm of subgrad 44.349135 stepsize= 1.000000
+dualbound = 1769496.260865, lowerbound=1073686.260865, norm of subgrad 1036.948533 dualbound = 1769496.260865, lowerbound=1073686.260865, norm of subgrad 43.404693 stepsize= 1.000000
+dualbound = 1769870.717360, lowerbound=1075970.717360, norm of subgrad 1038.041289 dualbound = 1769870.717360, lowerbound=1075970.717360, norm of subgrad 43.971087 stepsize= 1.000000
+dualbound = 1770168.708764, lowerbound=1074634.708764, norm of subgrad 1037.390336 dualbound = 1770168.708764, lowerbound=1074634.708764, norm of subgrad 42.918427 stepsize= 1.000000
+dualbound = 1770537.523367, lowerbound=1077491.523367, norm of subgrad 1038.748056 dualbound = 1770537.523367, lowerbound=1077491.523367, norm of subgrad 43.299129 stepsize= 1.000000
+dualbound = 1770859.128564, lowerbound=1074617.128564, norm of subgrad 1037.368849 dualbound = 1770859.128564, lowerbound=1074617.128564, norm of subgrad 42.878960 stepsize= 1.000000
+dualbound = 1771191.894273, lowerbound=1075527.894273, norm of subgrad 1037.853985 dualbound = 1771191.894273, lowerbound=1075527.894273, norm of subgrad 44.110834 stepsize= 1.000000
+dualbound = 1771504.200827, lowerbound=1076262.200827, norm of subgrad 1038.224061 dualbound = 1771504.200827, lowerbound=1076262.200827, norm of subgrad 44.264055 stepsize= 1.000000
+dualbound = 1771842.769865, lowerbound=1072550.769865, norm of subgrad 1036.394119 dualbound = 1771842.769865, lowerbound=1072550.769865, norm of subgrad 43.595516 stepsize= 1.000000
+dualbound = 1772209.265915, lowerbound=1077318.265915, norm of subgrad 1038.680059 dualbound = 1772209.265915, lowerbound=1077318.265915, norm of subgrad 43.640532 stepsize= 1.000000
+dualbound = 1772531.833628, lowerbound=1078950.833628, norm of subgrad 1039.465167 dualbound = 1772531.833628, lowerbound=1078950.833628, norm of subgrad 43.122705 stepsize= 1.000000
+dualbound = 1772873.788690, lowerbound=1070710.788690, norm of subgrad 1035.546131 dualbound = 1772873.788690, lowerbound=1070710.788690, norm of subgrad 44.575274 stepsize= 1.000000
+dualbound = 1773188.912528, lowerbound=1075910.912528, norm of subgrad 1038.052461 dualbound = 1773188.912528, lowerbound=1075910.912528, norm of subgrad 44.239392 stepsize= 1.000000
+dualbound = 1773512.346969, lowerbound=1073408.346969, norm of subgrad 1036.820306 dualbound = 1773512.346969, lowerbound=1073408.346969, norm of subgrad 43.719955 stepsize= 1.000000
+dualbound = 1773913.982860, lowerbound=1077101.982860, norm of subgrad 1038.551387 dualbound = 1773913.982860, lowerbound=1077101.982860, norm of subgrad 43.458439 stepsize= 1.000000
+dualbound = 1774238.542570, lowerbound=1072356.542570, norm of subgrad 1036.303306 dualbound = 1774238.542570, lowerbound=1072356.542570, norm of subgrad 43.503560 stepsize= 1.000000
+dualbound = 1774539.128568, lowerbound=1077660.128568, norm of subgrad 1038.884079 dualbound = 1774539.128568, lowerbound=1077660.128568, norm of subgrad 43.824491 stepsize= 1.000000
+dualbound = 1774881.161478, lowerbound=1074591.161477, norm of subgrad 1037.414171 dualbound = 1774881.161478, lowerbound=1074591.161477, norm of subgrad 44.486323 stepsize= 1.000000
+dualbound = 1775198.858882, lowerbound=1079232.858882, norm of subgrad 1039.638331 dualbound = 1775198.858882, lowerbound=1079232.858882, norm of subgrad 43.962454 stepsize= 1.000000
+dualbound = 1775560.651165, lowerbound=1073436.651165, norm of subgrad 1036.788624 dualbound = 1775560.651165, lowerbound=1073436.651165, norm of subgrad 43.078908 stepsize= 1.000000
+dualbound = 1775917.618963, lowerbound=1075595.618963, norm of subgrad 1037.819647 dualbound = 1775917.618963, lowerbound=1075595.618963, norm of subgrad 42.789810 stepsize= 1.000000
+dualbound = 1776259.334434, lowerbound=1074113.334434, norm of subgrad 1037.123105 dualbound = 1776259.334434, lowerbound=1074113.334434, norm of subgrad 43.043181 stepsize= 1.000000
+dualbound = 1776573.035114, lowerbound=1075860.035114, norm of subgrad 1037.964853 dualbound = 1776573.035114, lowerbound=1075860.035114, norm of subgrad 42.716515 stepsize= 1.000000
+dualbound = 1776896.514884, lowerbound=1074026.514884, norm of subgrad 1037.146815 dualbound = 1776896.514884, lowerbound=1074026.514884, norm of subgrad 44.390086 stepsize= 1.000000
+dualbound = 1777215.261518, lowerbound=1076483.261518, norm of subgrad 1038.309810 dualbound = 1777215.261518, lowerbound=1076483.261518, norm of subgrad 43.849135 stepsize= 1.000000
+dualbound = 1777560.276569, lowerbound=1073258.276569, norm of subgrad 1036.748415 dualbound = 1777560.276569, lowerbound=1073258.276569, norm of subgrad 43.977438 stepsize= 1.000000
+dualbound = 1777904.173293, lowerbound=1078812.173293, norm of subgrad 1039.406645 dualbound = 1777904.173293, lowerbound=1078812.173293, norm of subgrad 43.564857 stepsize= 1.000000
+dualbound = 1778259.569614, lowerbound=1075656.569614, norm of subgrad 1037.882252 dualbound = 1778259.569614, lowerbound=1075656.569614, norm of subgrad 43.570590 stepsize= 1.000000
+dualbound = 1778582.899287, lowerbound=1076827.899287, norm of subgrad 1038.431943 dualbound = 1778582.899287, lowerbound=1076827.899287, norm of subgrad 42.852417 stepsize= 1.000000
+dualbound = 1778934.684905, lowerbound=1074105.684905, norm of subgrad 1037.138701 dualbound = 1778934.684905, lowerbound=1074105.684905, norm of subgrad 43.620931 stepsize= 1.000000
+dualbound = 1779256.879230, lowerbound=1075316.879230, norm of subgrad 1037.707993 dualbound = 1779256.879230, lowerbound=1075316.879230, norm of subgrad 42.932439 stepsize= 1.000000
+dualbound = 1779595.705672, lowerbound=1074767.705672, norm of subgrad 1037.444796 dualbound = 1779595.705672, lowerbound=1074767.705672, norm of subgrad 43.160473 stepsize= 1.000000
+dualbound = 1779940.392940, lowerbound=1080348.392940, norm of subgrad 1040.127104 dualbound = 1779940.392940, lowerbound=1080348.392940, norm of subgrad 43.135684 stepsize= 1.000000
+dualbound = 1780238.471842, lowerbound=1074035.471842, norm of subgrad 1037.139080 dualbound = 1780238.471842, lowerbound=1074035.471842, norm of subgrad 43.818705 stepsize= 1.000000
+dualbound = 1780569.700278, lowerbound=1074856.700278, norm of subgrad 1037.484795 dualbound = 1780569.700278, lowerbound=1074856.700278, norm of subgrad 43.002656 stepsize= 1.000000
+dualbound = 1780925.194584, lowerbound=1075116.194584, norm of subgrad 1037.602619 dualbound = 1780925.194584, lowerbound=1075116.194584, norm of subgrad 43.110258 stepsize= 1.000000
+dualbound = 1781270.944016, lowerbound=1078229.944016, norm of subgrad 1039.121718 dualbound = 1781270.944016, lowerbound=1078229.944016, norm of subgrad 43.471248 stepsize= 1.000000
+dualbound = 1781571.517648, lowerbound=1077587.517648, norm of subgrad 1038.845281 dualbound = 1781571.517648, lowerbound=1077587.517648, norm of subgrad 43.732981 stepsize= 1.000000
+dualbound = 1781909.373855, lowerbound=1075598.373855, norm of subgrad 1037.845063 dualbound = 1781909.373855, lowerbound=1075598.373855, norm of subgrad 43.149232 stepsize= 1.000000
+dualbound = 1782285.269437, lowerbound=1076153.269437, norm of subgrad 1038.110914 dualbound = 1782285.269437, lowerbound=1076153.269437, norm of subgrad 43.553365 stepsize= 1.000000
+dualbound = 1782590.609447, lowerbound=1076491.609447, norm of subgrad 1038.287344 dualbound = 1782590.609447, lowerbound=1076491.609447, norm of subgrad 43.062048 stepsize= 1.000000
+dualbound = 1782925.062051, lowerbound=1074652.062051, norm of subgrad 1037.407857 dualbound = 1782925.062051, lowerbound=1074652.062051, norm of subgrad 43.559759 stepsize= 1.000000
+dualbound = 1783246.348334, lowerbound=1077856.348334, norm of subgrad 1038.975143 dualbound = 1783246.348334, lowerbound=1077856.348334, norm of subgrad 43.980522 stepsize= 1.000000
+dualbound = 1783558.170496, lowerbound=1070866.170496, norm of subgrad 1035.593632 dualbound = 1783558.170496, lowerbound=1070866.170496, norm of subgrad 43.586949 stepsize= 1.000000
+dualbound = 1783923.008481, lowerbound=1082048.008481, norm of subgrad 1040.940925 dualbound = 1783923.008481, lowerbound=1082048.008481, norm of subgrad 43.299399 stepsize= 1.000000
+dualbound = 1784271.746112, lowerbound=1072924.746112, norm of subgrad 1036.555713 dualbound = 1784271.746112, lowerbound=1072924.746112, norm of subgrad 43.263583 stepsize= 1.000000
+dualbound = 1784584.719599, lowerbound=1080580.719599, norm of subgrad 1040.241183 dualbound = 1784584.719599, lowerbound=1080580.719599, norm of subgrad 42.824917 stepsize= 1.000000
+dualbound = 1784934.900221, lowerbound=1071686.900221, norm of subgrad 1035.929969 dualbound = 1784934.900221, lowerbound=1071686.900221, norm of subgrad 42.593199 stepsize= 1.000000
+dualbound = 1785282.988582, lowerbound=1079902.988582, norm of subgrad 1039.908644 dualbound = 1785282.988582, lowerbound=1079902.988582, norm of subgrad 43.070737 stepsize= 1.000000
+dualbound = 1785602.457071, lowerbound=1075670.457071, norm of subgrad 1037.895687 dualbound = 1785602.457071, lowerbound=1075670.457071, norm of subgrad 43.318224 stepsize= 1.000000
+dualbound = 1785929.018786, lowerbound=1077572.018786, norm of subgrad 1038.813274 dualbound = 1785929.018786, lowerbound=1077572.018786, norm of subgrad 43.446078 stepsize= 1.000000
+dualbound = 1786227.247884, lowerbound=1071786.247884, norm of subgrad 1036.032938 dualbound = 1786227.247884, lowerbound=1071786.247884, norm of subgrad 43.315460 stepsize= 1.000000
+dualbound = 1786581.919780, lowerbound=1078094.919780, norm of subgrad 1039.065407 dualbound = 1786581.919780, lowerbound=1078094.919780, norm of subgrad 43.779812 stepsize= 1.000000
+dualbound = 1786931.292105, lowerbound=1077469.292105, norm of subgrad 1038.782601 dualbound = 1786931.292105, lowerbound=1077469.292105, norm of subgrad 44.151697 stepsize= 1.000000
+dualbound = 1787259.196470, lowerbound=1075750.196470, norm of subgrad 1037.945662 dualbound = 1787259.196470, lowerbound=1075750.196470, norm of subgrad 43.691010 stepsize= 1.000000
+dualbound = 1787602.042506, lowerbound=1077655.042506, norm of subgrad 1038.827725 dualbound = 1787602.042506, lowerbound=1077655.042506, norm of subgrad 43.021460 stepsize= 1.000000
+dualbound = 1787937.918763, lowerbound=1075985.918763, norm of subgrad 1038.058244 dualbound = 1787937.918763, lowerbound=1075985.918763, norm of subgrad 43.759299 stepsize= 1.000000
+dualbound = 1788267.610513, lowerbound=1075603.610513, norm of subgrad 1037.861075 dualbound = 1788267.610513, lowerbound=1075603.610513, norm of subgrad 43.378471 stepsize= 1.000000
+dualbound = 1788608.052215, lowerbound=1074837.052215, norm of subgrad 1037.451229 dualbound = 1788608.052215, lowerbound=1074837.052215, norm of subgrad 42.525777 stepsize= 1.000000
+dualbound = 1788954.331647, lowerbound=1078719.331647, norm of subgrad 1039.382187 dualbound = 1788954.331647, lowerbound=1078719.331647, norm of subgrad 44.071299 stepsize= 1.000000
+dualbound = 1789239.346835, lowerbound=1077445.346835, norm of subgrad 1038.741713 dualbound = 1789239.346835, lowerbound=1077445.346835, norm of subgrad 42.708491 stepsize= 1.000000
+dualbound = 1789624.454120, lowerbound=1078829.454120, norm of subgrad 1039.392830 dualbound = 1789624.454120, lowerbound=1078829.454120, norm of subgrad 43.509853 stepsize= 1.000000
+dualbound = 1789936.836093, lowerbound=1075329.836093, norm of subgrad 1037.731100 dualbound = 1789936.836093, lowerbound=1075329.836093, norm of subgrad 43.224784 stepsize= 1.000000
+dualbound = 1790259.553074, lowerbound=1074640.553074, norm of subgrad 1037.429300 dualbound = 1790259.553074, lowerbound=1074640.553074, norm of subgrad 44.064918 stepsize= 1.000000
+dualbound = 1790582.512128, lowerbound=1080082.512128, norm of subgrad 1040.036784 dualbound = 1790582.512128, lowerbound=1080082.512128, norm of subgrad 43.783091 stepsize= 1.000000
+dualbound = 1790920.441853, lowerbound=1077217.441853, norm of subgrad 1038.658963 dualbound = 1790920.441853, lowerbound=1077217.441853, norm of subgrad 43.965097 stepsize= 1.000000
+dualbound = 1791277.889533, lowerbound=1072562.889533, norm of subgrad 1036.392247 dualbound = 1791277.889533, lowerbound=1072562.889533, norm of subgrad 43.628519 stepsize= 1.000000
+dualbound = 1791593.043188, lowerbound=1078945.043188, norm of subgrad 1039.495091 dualbound = 1791593.043188, lowerbound=1078945.043188, norm of subgrad 43.819558 stepsize= 1.000000
+dualbound = 1791928.150474, lowerbound=1076200.150474, norm of subgrad 1038.131085 dualbound = 1791928.150474, lowerbound=1076200.150474, norm of subgrad 43.024496 stepsize= 1.000000
+dualbound = 1792279.627787, lowerbound=1081303.627787, norm of subgrad 1040.605414 dualbound = 1792279.627787, lowerbound=1081303.627787, norm of subgrad 43.674676 stepsize= 1.000000
+dualbound = 1792580.591132, lowerbound=1074972.591132, norm of subgrad 1037.590281 dualbound = 1792580.591132, lowerbound=1074972.591132, norm of subgrad 43.840202 stepsize= 1.000000
+dualbound = 1792911.801229, lowerbound=1077474.801229, norm of subgrad 1038.773701 dualbound = 1792911.801229, lowerbound=1077474.801229, norm of subgrad 43.671617 stepsize= 1.000000
+dualbound = 1793237.262114, lowerbound=1079256.262114, norm of subgrad 1039.642853 dualbound = 1793237.262114, lowerbound=1079256.262114, norm of subgrad 43.891467 stepsize= 1.000000
+dualbound = 1793598.507465, lowerbound=1076930.507465, norm of subgrad 1038.501087 dualbound = 1793598.507465, lowerbound=1076930.507465, norm of subgrad 43.763516 stepsize= 1.000000
+dualbound = 1793929.426976, lowerbound=1077204.426976, norm of subgrad 1038.622851 dualbound = 1793929.426976, lowerbound=1077204.426976, norm of subgrad 43.173134 stepsize= 1.000000
+dualbound = 1794239.599893, lowerbound=1074974.599893, norm of subgrad 1037.566191 dualbound = 1794239.599893, lowerbound=1074974.599893, norm of subgrad 43.349428 stepsize= 1.000000
+dualbound = 1794593.965697, lowerbound=1077586.965697, norm of subgrad 1038.806992 dualbound = 1794593.965697, lowerbound=1077586.965697, norm of subgrad 43.443824 stepsize= 1.000000
+dualbound = 1794915.506440, lowerbound=1076507.506440, norm of subgrad 1038.334968 dualbound = 1794915.506440, lowerbound=1076507.506440, norm of subgrad 44.198877 stepsize= 1.000000
+dualbound = 1795228.018544, lowerbound=1078856.018544, norm of subgrad 1039.465256 dualbound = 1795228.018544, lowerbound=1078856.018544, norm of subgrad 44.096622 stepsize= 1.000000
+dualbound = 1795587.157633, lowerbound=1074009.157633, norm of subgrad 1037.091682 dualbound = 1795587.157633, lowerbound=1074009.157633, norm of subgrad 43.693696 stepsize= 1.000000
+dualbound = 1795910.864899, lowerbound=1078014.864899, norm of subgrad 1039.014853 dualbound = 1795910.864899, lowerbound=1078014.864899, norm of subgrad 43.135916 stepsize= 1.000000
+dualbound = 1796254.317114, lowerbound=1078448.317114, norm of subgrad 1039.243627 dualbound = 1796254.317114, lowerbound=1078448.317114, norm of subgrad 43.845778 stepsize= 1.000000
+dualbound = 1796577.730265, lowerbound=1077844.730265, norm of subgrad 1038.945008 dualbound = 1796577.730265, lowerbound=1077844.730265, norm of subgrad 43.421344 stepsize= 1.000000
+dualbound = 1796930.546129, lowerbound=1076919.546129, norm of subgrad 1038.497735 dualbound = 1796930.546129, lowerbound=1076919.546129, norm of subgrad 43.712880 stepsize= 1.000000
+dualbound = 1797227.932797, lowerbound=1078136.932797, norm of subgrad 1039.100059 dualbound = 1797227.932797, lowerbound=1078136.932797, norm of subgrad 43.467076 stepsize= 1.000000
+dualbound = 1797574.669107, lowerbound=1080908.669107, norm of subgrad 1040.429079 dualbound = 1797574.669107, lowerbound=1080908.669107, norm of subgrad 43.940145 stepsize= 1.000000
+dualbound = 1797890.211865, lowerbound=1075404.211865, norm of subgrad 1037.772717 dualbound = 1797890.211865, lowerbound=1075404.211865, norm of subgrad 43.399801 stepsize= 1.000000
+dualbound = 1798252.066137, lowerbound=1079511.066137, norm of subgrad 1039.775488 dualbound = 1798252.066137, lowerbound=1079511.066137, norm of subgrad 44.540479 stepsize= 1.000000
+dualbound = 1798545.334166, lowerbound=1076029.334166, norm of subgrad 1038.068078 dualbound = 1798545.334166, lowerbound=1076029.334166, norm of subgrad 43.003116 stepsize= 1.000000
+dualbound = 1798934.522341, lowerbound=1077651.522341, norm of subgrad 1038.835176 dualbound = 1798934.522341, lowerbound=1077651.522341, norm of subgrad 43.774287 stepsize= 1.000000
+dualbound = 1799234.085793, lowerbound=1076379.085793, norm of subgrad 1038.242306 dualbound = 1799234.085793, lowerbound=1076379.085793, norm of subgrad 43.215315 stepsize= 1.000000
+dualbound = 1799563.356360, lowerbound=1076835.356360, norm of subgrad 1038.460570 dualbound = 1799563.356360, lowerbound=1076835.356360, norm of subgrad 43.523219 stepsize= 1.000000
+dualbound = 1799903.368149, lowerbound=1078925.368149, norm of subgrad 1039.442335 dualbound = 1799903.368149, lowerbound=1078925.368149, norm of subgrad 43.069848 stepsize= 1.000000
+dualbound = 1800240.976715, lowerbound=1075618.976715, norm of subgrad 1037.881967 dualbound = 1800240.976715, lowerbound=1075618.976715, norm of subgrad 43.790508 stepsize= 1.000000
+dualbound = 1800563.831876, lowerbound=1077983.831876, norm of subgrad 1039.006175 dualbound = 1800563.831876, lowerbound=1077983.831876, norm of subgrad 43.276497 stepsize= 1.000000
+dualbound = 1800880.128532, lowerbound=1079134.128532, norm of subgrad 1039.594213 dualbound = 1800880.128532, lowerbound=1079134.128532, norm of subgrad 44.026091 stepsize= 1.000000
+dualbound = 1801217.733462, lowerbound=1079784.733462, norm of subgrad 1039.898425 dualbound = 1801217.733462, lowerbound=1079784.733462, norm of subgrad 44.063646 stepsize= 1.000000
+dualbound = 1801534.327589, lowerbound=1076027.327589, norm of subgrad 1038.083969 dualbound = 1801534.327589, lowerbound=1076027.327589, norm of subgrad 43.676013 stepsize= 1.000000
+dualbound = 1801884.925969, lowerbound=1078248.925969, norm of subgrad 1039.154428 dualbound = 1801884.925969, lowerbound=1078248.925969, norm of subgrad 44.086261 stepsize= 1.000000
+dualbound = 1802221.085466, lowerbound=1077782.085466, norm of subgrad 1038.905715 dualbound = 1802221.085466, lowerbound=1077782.085466, norm of subgrad 43.349273 stepsize= 1.000000
+dualbound = 1802561.366324, lowerbound=1077991.366324, norm of subgrad 1038.985258 dualbound = 1802561.366324, lowerbound=1077991.366324, norm of subgrad 42.886838 stepsize= 1.000000
+dualbound = 1802901.674564, lowerbound=1076859.674564, norm of subgrad 1038.461687 dualbound = 1802901.674564, lowerbound=1076859.674564, norm of subgrad 43.397099 stepsize= 1.000000
+dualbound = 1803224.633680, lowerbound=1080417.633680, norm of subgrad 1040.175771 dualbound = 1803224.633680, lowerbound=1080417.633680, norm of subgrad 43.254585 stepsize= 1.000000
+dualbound = 1803541.256828, lowerbound=1075347.256828, norm of subgrad 1037.752984 dualbound = 1803541.256828, lowerbound=1075347.256828, norm of subgrad 43.596137 stepsize= 1.000000
+dualbound = 1803848.403222, lowerbound=1081996.403222, norm of subgrad 1040.962249 dualbound = 1803848.403222, lowerbound=1081996.403222, norm of subgrad 43.739529 stepsize= 1.000000
+dualbound = 1804193.540732, lowerbound=1079493.540732, norm of subgrad 1039.755039 dualbound = 1804193.540732, lowerbound=1079493.540732, norm of subgrad 44.069689 stepsize= 1.000000
+dualbound = 1804529.283660, lowerbound=1074654.283660, norm of subgrad 1037.403144 dualbound = 1804529.283660, lowerbound=1074654.283660, norm of subgrad 43.436654 stepsize= 1.000000
+dualbound = 1804851.345889, lowerbound=1077661.345889, norm of subgrad 1038.856749 dualbound = 1804851.345889, lowerbound=1077661.345889, norm of subgrad 43.405786 stepsize= 1.000000
+dualbound = 1805186.025934, lowerbound=1080275.025934, norm of subgrad 1040.153847 dualbound = 1805186.025934, lowerbound=1080275.025934, norm of subgrad 44.493596 stepsize= 1.000000
+dualbound = 1805528.912484, lowerbound=1080080.912484, norm of subgrad 1040.004766 dualbound = 1805528.912484, lowerbound=1080080.912484, norm of subgrad 43.265304 stepsize= 1.000000
+dualbound = 1805872.424722, lowerbound=1077864.424722, norm of subgrad 1038.940530 dualbound = 1805872.424722, lowerbound=1077864.424722, norm of subgrad 43.318728 stepsize= 1.000000
+dualbound = 1806178.236118, lowerbound=1077074.236118, norm of subgrad 1038.609280 dualbound = 1806178.236118, lowerbound=1077074.236118, norm of subgrad 44.054641 stepsize= 1.000000
+dualbound = 1806502.598664, lowerbound=1079985.598664, norm of subgrad 1039.951248 dualbound = 1806502.598664, lowerbound=1079985.598664, norm of subgrad 42.864467 stepsize= 1.000000
+dualbound = 1806852.093890, lowerbound=1076690.093890, norm of subgrad 1038.408443 dualbound = 1806852.093890, lowerbound=1076690.093890, norm of subgrad 44.175731 stepsize= 1.000000
+dualbound = 1807165.176653, lowerbound=1079519.176653, norm of subgrad 1039.752459 dualbound = 1807165.176653, lowerbound=1079519.176653, norm of subgrad 43.348388 stepsize= 1.000000
+dualbound = 1807508.329389, lowerbound=1078737.329389, norm of subgrad 1039.371603 dualbound = 1807508.329389, lowerbound=1078737.329389, norm of subgrad 43.579270 stepsize= 1.000000
+dualbound = 1807824.163668, lowerbound=1078962.163668, norm of subgrad 1039.530261 dualbound = 1807824.163668, lowerbound=1078962.163668, norm of subgrad 44.461605 stepsize= 1.000000
+dualbound = 1808120.810974, lowerbound=1079192.810974, norm of subgrad 1039.600313 dualbound = 1808120.810974, lowerbound=1079192.810974, norm of subgrad 43.274095 stepsize= 1.000000
+dualbound = 1808513.137209, lowerbound=1081036.137209, norm of subgrad 1040.451891 dualbound = 1808513.137209, lowerbound=1081036.137209, norm of subgrad 43.546828 stepsize= 1.000000
+dualbound = 1808814.222290, lowerbound=1076790.222290, norm of subgrad 1038.455691 dualbound = 1808814.222290, lowerbound=1076790.222290, norm of subgrad 43.601434 stepsize= 1.000000
+dualbound = 1809138.000637, lowerbound=1080466.000637, norm of subgrad 1040.225937 dualbound = 1809138.000637, lowerbound=1080466.000637, norm of subgrad 43.906473 stepsize= 1.000000
+dualbound = 1809484.662916, lowerbound=1076372.662916, norm of subgrad 1038.254142 dualbound = 1809484.662916, lowerbound=1076372.662916, norm of subgrad 44.109662 stepsize= 1.000000
+dualbound = 1809810.350740, lowerbound=1078837.350740, norm of subgrad 1039.396147 dualbound = 1809810.350740, lowerbound=1078837.350740, norm of subgrad 42.809903 stepsize= 1.000000
+dualbound = 1810158.220657, lowerbound=1080707.220657, norm of subgrad 1040.324575 dualbound = 1810158.220657, lowerbound=1080707.220657, norm of subgrad 43.770651 stepsize= 1.000000
+dualbound = 1810456.074480, lowerbound=1077370.074480, norm of subgrad 1038.716552 dualbound = 1810456.074480, lowerbound=1077370.074480, norm of subgrad 43.126023 stepsize= 1.000000
+dualbound = 1810794.052475, lowerbound=1082280.052475, norm of subgrad 1041.067266 dualbound = 1810794.052475, lowerbound=1082280.052475, norm of subgrad 43.347180 stepsize= 1.000000
+dualbound = 1811128.670686, lowerbound=1077061.670686, norm of subgrad 1038.564235 dualbound = 1811128.670686, lowerbound=1077061.670686, norm of subgrad 43.458235 stepsize= 1.000000
+dualbound = 1811447.335798, lowerbound=1082160.335798, norm of subgrad 1041.010728 dualbound = 1811447.335798, lowerbound=1082160.335798, norm of subgrad 43.147017 stepsize= 1.000000
+dualbound = 1811790.542352, lowerbound=1076845.542352, norm of subgrad 1038.461141 dualbound = 1811790.542352, lowerbound=1076845.542352, norm of subgrad 43.579887 stepsize= 1.000000
+dualbound = 1812111.734325, lowerbound=1080830.734325, norm of subgrad 1040.383455 dualbound = 1812111.734325, lowerbound=1080830.734325, norm of subgrad 43.453331 stepsize= 1.000000
+dualbound = 1812437.466676, lowerbound=1080711.466676, norm of subgrad 1040.316042 dualbound = 1812437.466676, lowerbound=1080711.466676, norm of subgrad 43.263522 stepsize= 1.000000
+dualbound = 1812770.048457, lowerbound=1078134.048457, norm of subgrad 1039.131873 dualbound = 1812770.048457, lowerbound=1078134.048457, norm of subgrad 44.649544 stepsize= 1.000000
+dualbound = 1813069.201060, lowerbound=1080926.201060, norm of subgrad 1040.429816 dualbound = 1813069.201060, lowerbound=1080926.201060, norm of subgrad 43.210561 stepsize= 1.000000
+dualbound = 1813421.609628, lowerbound=1080489.609628, norm of subgrad 1040.209407 dualbound = 1813421.609628, lowerbound=1080489.609628, norm of subgrad 43.570731 stepsize= 1.000000
+dualbound = 1813742.775641, lowerbound=1080095.775641, norm of subgrad 1040.048449 dualbound = 1813742.775641, lowerbound=1080095.775641, norm of subgrad 43.888108 stepsize= 1.000000
+dualbound = 1814059.024941, lowerbound=1079589.024941, norm of subgrad 1039.826921 dualbound = 1814059.024941, lowerbound=1079589.024941, norm of subgrad 44.353684 stepsize= 1.000000
+dualbound = 1814363.802419, lowerbound=1082297.802419, norm of subgrad 1041.126699 dualbound = 1814363.802419, lowerbound=1082297.802419, norm of subgrad 44.178926 stepsize= 1.000000
+dualbound = 1814710.570137, lowerbound=1078069.570137, norm of subgrad 1039.051765 dualbound = 1814710.570137, lowerbound=1078069.570137, norm of subgrad 43.655100 stepsize= 1.000000
+dualbound = 1815038.147897, lowerbound=1081525.147897, norm of subgrad 1040.705601 dualbound = 1815038.147897, lowerbound=1081525.147897, norm of subgrad 43.250176 stepsize= 1.000000
+dualbound = 1815370.614039, lowerbound=1078295.614039, norm of subgrad 1039.184110 dualbound = 1815370.614039, lowerbound=1078295.614039, norm of subgrad 44.050722 stepsize= 1.000000
+dualbound = 1815677.036973, lowerbound=1082390.036973, norm of subgrad 1041.142179 dualbound = 1815677.036973, lowerbound=1082390.036973, norm of subgrad 43.513480 stepsize= 1.000000
+dualbound = 1816026.580460, lowerbound=1079194.580460, norm of subgrad 1039.598759 dualbound = 1816026.580460, lowerbound=1079194.580460, norm of subgrad 43.824006 stepsize= 1.000000
+dualbound = 1816333.472499, lowerbound=1079326.472499, norm of subgrad 1039.671329 dualbound = 1816333.472499, lowerbound=1079326.472499, norm of subgrad 43.553324 stepsize= 1.000000
+dualbound = 1816662.995126, lowerbound=1079905.995126, norm of subgrad 1039.941342 dualbound = 1816662.995126, lowerbound=1079905.995126, norm of subgrad 43.606452 stepsize= 1.000000
+dualbound = 1817005.064937, lowerbound=1081715.064937, norm of subgrad 1040.777625 dualbound = 1817005.064937, lowerbound=1081715.064937, norm of subgrad 42.954276 stepsize= 1.000000
+dualbound = 1817332.220055, lowerbound=1078563.220055, norm of subgrad 1039.291692 dualbound = 1817332.220055, lowerbound=1078563.220055, norm of subgrad 43.487413 stepsize= 1.000000
+dualbound = 1817645.692051, lowerbound=1082983.692051, norm of subgrad 1041.432999 dualbound = 1817645.692051, lowerbound=1082983.692051, norm of subgrad 43.731819 stepsize= 1.000000
+dualbound = 1817959.555625, lowerbound=1077511.555625, norm of subgrad 1038.766362 dualbound = 1817959.555625, lowerbound=1077511.555625, norm of subgrad 42.870311 stepsize= 1.000000
+dualbound = 1818300.202659, lowerbound=1082876.202659, norm of subgrad 1041.385713 dualbound = 1818300.202659, lowerbound=1082876.202659, norm of subgrad 44.143482 stepsize= 1.000000
+dualbound = 1818611.610262, lowerbound=1082416.610262, norm of subgrad 1041.120843 dualbound = 1818611.610262, lowerbound=1082416.610262, norm of subgrad 42.748188 stepsize= 1.000000
+dualbound = 1818923.096782, lowerbound=1079898.096782, norm of subgrad 1039.963027 dualbound = 1818923.096782, lowerbound=1079898.096782, norm of subgrad 44.005528 stepsize= 1.000000
+dualbound = 1819262.516797, lowerbound=1079781.516797, norm of subgrad 1039.872356 dualbound = 1819262.516797, lowerbound=1079781.516797, norm of subgrad 43.501954 stepsize= 1.000000
+dualbound = 1819575.502578, lowerbound=1083408.502578, norm of subgrad 1041.638374 dualbound = 1819575.502578, lowerbound=1083408.502578, norm of subgrad 43.760551 stepsize= 1.000000
+dualbound = 1819913.622890, lowerbound=1077176.622890, norm of subgrad 1038.593579 dualbound = 1819913.622890, lowerbound=1077176.622890, norm of subgrad 42.873305 stepsize= 1.000000
+dualbound = 1820257.578470, lowerbound=1081221.578470, norm of subgrad 1040.553977 dualbound = 1820257.578470, lowerbound=1081221.578470, norm of subgrad 43.300757 stepsize= 1.000000
+dualbound = 1820567.776899, lowerbound=1079906.776899, norm of subgrad 1039.991720 dualbound = 1820567.776899, lowerbound=1079906.776899, norm of subgrad 44.566786 stepsize= 1.000000
+dualbound = 1820839.080934, lowerbound=1082129.080934, norm of subgrad 1041.025015 dualbound = 1820839.080934, lowerbound=1082129.080934, norm of subgrad 43.304781 stepsize= 1.000000
+dualbound = 1821209.453935, lowerbound=1081892.453935, norm of subgrad 1040.895986 dualbound = 1821209.453935, lowerbound=1081892.453935, norm of subgrad 44.072361 stepsize= 1.000000
+dualbound = 1821522.432189, lowerbound=1080241.432189, norm of subgrad 1040.092992 dualbound = 1821522.432189, lowerbound=1080241.432189, norm of subgrad 43.185394 stepsize= 1.000000
+dualbound = 1821869.474503, lowerbound=1078963.474503, norm of subgrad 1039.477982 dualbound = 1821869.474503, lowerbound=1078963.474503, norm of subgrad 43.566527 stepsize= 1.000000
+dualbound = 1822173.590507, lowerbound=1083413.590507, norm of subgrad 1041.616336 dualbound = 1822173.590507, lowerbound=1083413.590507, norm of subgrad 43.071058 stepsize= 1.000000
+dualbound = 1822514.736929, lowerbound=1080658.736929, norm of subgrad 1040.304156 dualbound = 1822514.736929, lowerbound=1080658.736929, norm of subgrad 43.762386 stepsize= 1.000000
+dualbound = 1822794.973008, lowerbound=1083090.973008, norm of subgrad 1041.457619 dualbound = 1822794.973008, lowerbound=1083090.973008, norm of subgrad 42.699369 stepsize= 1.000000
+dualbound = 1823153.343381, lowerbound=1080292.343381, norm of subgrad 1040.133330 dualbound = 1823153.343381, lowerbound=1080292.343381, norm of subgrad 44.083675 stepsize= 1.000000
+dualbound = 1823447.713489, lowerbound=1082230.713489, norm of subgrad 1041.069024 dualbound = 1823447.713489, lowerbound=1082230.713489, norm of subgrad 43.455381 stepsize= 1.000000
+dualbound = 1823795.314412, lowerbound=1081747.314412, norm of subgrad 1040.812334 dualbound = 1823795.314412, lowerbound=1081747.314412, norm of subgrad 43.481041 stepsize= 1.000000
+dualbound = 1824118.293650, lowerbound=1084259.293650, norm of subgrad 1042.024133 dualbound = 1824118.293650, lowerbound=1084259.293650, norm of subgrad 43.335658 stepsize= 1.000000
+dualbound = 1824426.494282, lowerbound=1077976.494282, norm of subgrad 1039.030074 dualbound = 1824426.494282, lowerbound=1077976.494282, norm of subgrad 43.763005 stepsize= 1.000000
+dualbound = 1824733.871733, lowerbound=1083406.871733, norm of subgrad 1041.672152 dualbound = 1824733.871733, lowerbound=1083406.871733, norm of subgrad 44.512666 stepsize= 1.000000
+dualbound = 1825059.074162, lowerbound=1082864.074162, norm of subgrad 1041.378449 dualbound = 1825059.074162, lowerbound=1082864.074162, norm of subgrad 43.934069 stepsize= 1.000000
+dualbound = 1825382.780077, lowerbound=1080174.780077, norm of subgrad 1040.056143 dualbound = 1825382.780077, lowerbound=1080174.780077, norm of subgrad 43.193818 stepsize= 1.000000
+dualbound = 1825727.479551, lowerbound=1083185.479551, norm of subgrad 1041.513552 dualbound = 1825727.479551, lowerbound=1083185.479551, norm of subgrad 43.700108 stepsize= 1.000000
+dualbound = 1826053.850207, lowerbound=1084791.850207, norm of subgrad 1042.255175 dualbound = 1826053.850207, lowerbound=1084791.850207, norm of subgrad 42.782831 stepsize= 1.000000
+dualbound = 1826364.186883, lowerbound=1079946.186883, norm of subgrad 1039.970763 dualbound = 1826364.186883, lowerbound=1079946.186883, norm of subgrad 43.627247 stepsize= 1.000000
+dualbound = 1826667.273108, lowerbound=1082375.273108, norm of subgrad 1041.137490 dualbound = 1826667.273108, lowerbound=1082375.273108, norm of subgrad 43.532588 stepsize= 1.000000
+dualbound = 1827006.045954, lowerbound=1080982.045954, norm of subgrad 1040.462419 dualbound = 1827006.045954, lowerbound=1080982.045954, norm of subgrad 43.803799 stepsize= 1.000000
+dualbound = 1827313.117022, lowerbound=1081772.117022, norm of subgrad 1040.850190 dualbound = 1827313.117022, lowerbound=1081772.117022, norm of subgrad 43.635663 stepsize= 1.000000
+dualbound = 1827646.449146, lowerbound=1085042.449146, norm of subgrad 1042.420956 dualbound = 1827646.449146, lowerbound=1085042.449146, norm of subgrad 43.958300 stepsize= 1.000000
+dualbound = 1827959.841916, lowerbound=1082490.841916, norm of subgrad 1041.184826 dualbound = 1827959.841916, lowerbound=1082490.841916, norm of subgrad 43.455641 stepsize= 1.000000
+dualbound = 1828314.581053, lowerbound=1079477.581053, norm of subgrad 1039.710335 dualbound = 1828314.581053, lowerbound=1079477.581053, norm of subgrad 43.298258 stepsize= 1.000000
+dualbound = 1828612.796658, lowerbound=1086774.796658, norm of subgrad 1043.248674 dualbound = 1828612.796658, lowerbound=1086774.796658, norm of subgrad 43.488109 stepsize= 1.000000
+dualbound = 1828929.002408, lowerbound=1078304.002408, norm of subgrad 1039.142917 dualbound = 1828929.002408, lowerbound=1078304.002408, norm of subgrad 42.780904 stepsize= 1.000000
+dualbound = 1829302.083850, lowerbound=1082343.083850, norm of subgrad 1041.107624 dualbound = 1829302.083850, lowerbound=1082343.083850, norm of subgrad 43.989561 stepsize= 1.000000
+dualbound = 1829591.040599, lowerbound=1080519.040599, norm of subgrad 1040.234608 dualbound = 1829591.040599, lowerbound=1080519.040599, norm of subgrad 43.104022 stepsize= 1.000000
+dualbound = 1829912.732933, lowerbound=1083801.732933, norm of subgrad 1041.797837 dualbound = 1829912.732933, lowerbound=1083801.732933, norm of subgrad 43.158920 stepsize= 1.000000
+dualbound = 1830200.802519, lowerbound=1082452.802519, norm of subgrad 1041.182886 dualbound = 1830200.802519, lowerbound=1082452.802519, norm of subgrad 43.555362 stepsize= 1.000000
+dualbound = 1830535.510308, lowerbound=1083713.510308, norm of subgrad 1041.749735 dualbound = 1830535.510308, lowerbound=1083713.510308, norm of subgrad 43.170682 stepsize= 1.000000
+dualbound = 1830879.944184, lowerbound=1081576.944184, norm of subgrad 1040.745860 dualbound = 1830879.944184, lowerbound=1081576.944184, norm of subgrad 43.811344 stepsize= 1.000000
+dualbound = 1831175.426499, lowerbound=1084051.426499, norm of subgrad 1041.940702 dualbound = 1831175.426499, lowerbound=1084051.426499, norm of subgrad 43.410624 stepsize= 1.000000
+dualbound = 1831514.608988, lowerbound=1079771.608988, norm of subgrad 1039.889229 dualbound = 1831514.608988, lowerbound=1079771.608988, norm of subgrad 44.013435 stepsize= 1.000000
+dualbound = 1831826.763475, lowerbound=1085750.763475, norm of subgrad 1042.735232 dualbound = 1831826.763475, lowerbound=1085750.763475, norm of subgrad 43.106316 stepsize= 1.000000
+dualbound = 1832151.250559, lowerbound=1080293.250559, norm of subgrad 1040.109249 dualbound = 1832151.250559, lowerbound=1080293.250559, norm of subgrad 43.110174 stepsize= 1.000000
+dualbound = 1832472.243667, lowerbound=1085928.243667, norm of subgrad 1042.816016 dualbound = 1832472.243667, lowerbound=1085928.243667, norm of subgrad 43.104444 stepsize= 1.000000
+dualbound = 1832787.107932, lowerbound=1079718.107931, norm of subgrad 1039.847156 dualbound = 1832787.107932, lowerbound=1079718.107931, norm of subgrad 43.345868 stepsize= 1.000000
+dualbound = 1833109.261126, lowerbound=1084174.261126, norm of subgrad 1041.990048 dualbound = 1833109.261126, lowerbound=1084174.261126, norm of subgrad 43.487391 stepsize= 1.000000
+dualbound = 1833434.308543, lowerbound=1081795.308543, norm of subgrad 1040.830106 dualbound = 1833434.308543, lowerbound=1081795.308543, norm of subgrad 43.093473 stepsize= 1.000000
+dualbound = 1833724.921296, lowerbound=1084630.921296, norm of subgrad 1042.215871 dualbound = 1833724.921296, lowerbound=1084630.921296, norm of subgrad 43.285249 stepsize= 1.000000
+dualbound = 1834072.904950, lowerbound=1081281.904950, norm of subgrad 1040.615637 dualbound = 1834072.904950, lowerbound=1081281.904950, norm of subgrad 44.124638 stepsize= 1.000000
+dualbound = 1834381.784125, lowerbound=1081216.784125, norm of subgrad 1040.551673 dualbound = 1834381.784125, lowerbound=1081216.784125, norm of subgrad 42.893813 stepsize= 1.000000
+dualbound = 1834705.774014, lowerbound=1084030.774014, norm of subgrad 1041.943268 dualbound = 1834705.774014, lowerbound=1084030.774014, norm of subgrad 44.033963 stepsize= 1.000000
+dualbound = 1835001.850377, lowerbound=1085729.850377, norm of subgrad 1042.726163 dualbound = 1835001.850377, lowerbound=1085729.850377, norm of subgrad 42.942710 stepsize= 1.000000
+dualbound = 1835365.455233, lowerbound=1076968.455233, norm of subgrad 1038.499617 dualbound = 1835365.455233, lowerbound=1076968.455233, norm of subgrad 43.319798 stepsize= 1.000000
+dualbound = 1835670.723336, lowerbound=1084042.723336, norm of subgrad 1041.914451 dualbound = 1835670.723336, lowerbound=1084042.723336, norm of subgrad 42.991489 stepsize= 1.000000
+dualbound = 1835986.731740, lowerbound=1085536.731739, norm of subgrad 1042.650820 dualbound = 1835986.731740, lowerbound=1085536.731739, norm of subgrad 43.589086 stepsize= 1.000000
+dualbound = 1836290.309560, lowerbound=1082581.309560, norm of subgrad 1041.243636 dualbound = 1836290.309560, lowerbound=1082581.309560, norm of subgrad 43.710157 stepsize= 1.000000
+dualbound = 1836607.929418, lowerbound=1081984.929418, norm of subgrad 1040.931760 dualbound = 1836607.929418, lowerbound=1081984.929418, norm of subgrad 43.262222 stepsize= 1.000000
+dualbound = 1836937.193289, lowerbound=1083144.193289, norm of subgrad 1041.486531 dualbound = 1836937.193289, lowerbound=1083144.193289, norm of subgrad 43.350477 stepsize= 1.000000
+dualbound = 1837237.093148, lowerbound=1080652.093148, norm of subgrad 1040.297598 dualbound = 1837237.093148, lowerbound=1080652.093148, norm of subgrad 43.207637 stepsize= 1.000000
+dualbound = 1837558.969867, lowerbound=1085003.969867, norm of subgrad 1042.369402 dualbound = 1837558.969867, lowerbound=1085003.969867, norm of subgrad 43.033437 stepsize= 1.000000
+dualbound = 1837918.374661, lowerbound=1082120.374661, norm of subgrad 1040.958873 dualbound = 1837918.374661, lowerbound=1082120.374661, norm of subgrad 42.829952 stepsize= 1.000000
+dualbound = 1838220.970971, lowerbound=1085247.970971, norm of subgrad 1042.465813 dualbound = 1838220.970971, lowerbound=1085247.970971, norm of subgrad 42.303621 stepsize= 1.000000
+dualbound = 1838555.990632, lowerbound=1078564.990632, norm of subgrad 1039.308419 dualbound = 1838555.990632, lowerbound=1078564.990632, norm of subgrad 43.954746 stepsize= 1.000000
+dualbound = 1838815.014700, lowerbound=1083530.014700, norm of subgrad 1041.686140 dualbound = 1838815.014700, lowerbound=1083530.014700, norm of subgrad 42.883844 stepsize= 1.000000
+dualbound = 1839158.628551, lowerbound=1083543.628551, norm of subgrad 1041.672035 dualbound = 1839158.628551, lowerbound=1083543.628551, norm of subgrad 43.366045 stepsize= 1.000000
+dualbound = 1839495.061616, lowerbound=1081668.061616, norm of subgrad 1040.772339 dualbound = 1839495.061616, lowerbound=1081668.061616, norm of subgrad 43.306271 stepsize= 1.000000
+dualbound = 1839815.999256, lowerbound=1085928.999256, norm of subgrad 1042.844667 dualbound = 1839815.999256, lowerbound=1085928.999256, norm of subgrad 43.782846 stepsize= 1.000000
+dualbound = 1840085.689774, lowerbound=1084247.689774, norm of subgrad 1042.064628 dualbound = 1840085.689774, lowerbound=1084247.689774, norm of subgrad 43.825683 stepsize= 1.000000
+dualbound = 1840399.681750, lowerbound=1085544.681750, norm of subgrad 1042.655112 dualbound = 1840399.681750, lowerbound=1085544.681750, norm of subgrad 43.577425 stepsize= 1.000000
+dualbound = 1840748.715648, lowerbound=1079988.715648, norm of subgrad 1039.959959 dualbound = 1840748.715648, lowerbound=1079988.715648, norm of subgrad 43.324749 stepsize= 1.000000
+dualbound = 1841070.797613, lowerbound=1082964.797613, norm of subgrad 1041.387439 dualbound = 1841070.797613, lowerbound=1082964.797613, norm of subgrad 42.954417 stepsize= 1.000000
+dualbound = 1841385.543151, lowerbound=1085858.543151, norm of subgrad 1042.771568 dualbound = 1841385.543151, lowerbound=1085858.543151, norm of subgrad 42.763834 stepsize= 1.000000
+dualbound = 1841703.012701, lowerbound=1085720.012701, norm of subgrad 1042.726720 dualbound = 1841703.012701, lowerbound=1085720.012701, norm of subgrad 43.318236 stepsize= 1.000000
+dualbound = 1842019.364636, lowerbound=1079439.364636, norm of subgrad 1039.742932 dualbound = 1842019.364636, lowerbound=1079439.364636, norm of subgrad 44.072122 stepsize= 1.000000
+dualbound = 1842318.862093, lowerbound=1082269.862093, norm of subgrad 1041.062372 dualbound = 1842318.862093, lowerbound=1082269.862093, norm of subgrad 42.901019 stepsize= 1.000000
+dualbound = 1842673.027608, lowerbound=1087980.027608, norm of subgrad 1043.808904 dualbound = 1842673.027608, lowerbound=1087980.027608, norm of subgrad 43.716879 stepsize= 1.000000
+dualbound = 1842964.181992, lowerbound=1083403.181992, norm of subgrad 1041.608459 dualbound = 1842964.181992, lowerbound=1083403.181992, norm of subgrad 42.850372 stepsize= 1.000000
+dualbound = 1843299.680483, lowerbound=1082997.680483, norm of subgrad 1041.413789 dualbound = 1843299.680483, lowerbound=1082997.680483, norm of subgrad 43.364715 stepsize= 1.000000
+dualbound = 1843595.681081, lowerbound=1084947.681081, norm of subgrad 1042.350076 dualbound = 1843595.681081, lowerbound=1084947.681081, norm of subgrad 42.918534 stepsize= 1.000000
+dualbound = 1843924.530175, lowerbound=1083429.530175, norm of subgrad 1041.625907 dualbound = 1843924.530175, lowerbound=1083429.530175, norm of subgrad 43.403330 stepsize= 1.000000
+dualbound = 1844235.924212, lowerbound=1084218.924212, norm of subgrad 1042.030194 dualbound = 1844235.924212, lowerbound=1084218.924212, norm of subgrad 43.810889 stepsize= 1.000000
+dualbound = 1844529.877089, lowerbound=1082404.877089, norm of subgrad 1041.127695 dualbound = 1844529.877089, lowerbound=1082404.877089, norm of subgrad 42.848021 stepsize= 1.000000
+dualbound = 1844879.287066, lowerbound=1083931.287066, norm of subgrad 1041.859053 dualbound = 1844879.287066, lowerbound=1083931.287066, norm of subgrad 43.455839 stepsize= 1.000000
+dualbound = 1845190.174870, lowerbound=1082438.174870, norm of subgrad 1041.156172 dualbound = 1845190.174870, lowerbound=1082438.174870, norm of subgrad 43.346139 stepsize= 1.000000
+dualbound = 1845500.049481, lowerbound=1084459.049481, norm of subgrad 1042.133413 dualbound = 1845500.049481, lowerbound=1084459.049481, norm of subgrad 43.507179 stepsize= 1.000000
+dualbound = 1845820.227894, lowerbound=1083311.227894, norm of subgrad 1041.601281 dualbound = 1845820.227894, lowerbound=1083311.227894, norm of subgrad 44.070153 stepsize= 1.000000
+dualbound = 1846084.168793, lowerbound=1084866.168793, norm of subgrad 1042.334960 dualbound = 1846084.168793, lowerbound=1084866.168793, norm of subgrad 43.127032 stepsize= 1.000000
+dualbound = 1846459.885276, lowerbound=1084776.885276, norm of subgrad 1042.267185 dualbound = 1846459.885276, lowerbound=1084776.885276, norm of subgrad 43.814569 stepsize= 1.000000
+dualbound = 1846761.352085, lowerbound=1085194.352085, norm of subgrad 1042.470792 dualbound = 1846761.352085, lowerbound=1085194.352085, norm of subgrad 43.040293 stepsize= 1.000000
+dualbound = 1847091.511819, lowerbound=1086515.511819, norm of subgrad 1043.125837 dualbound = 1847091.511819, lowerbound=1086515.511819, norm of subgrad 43.888036 stepsize= 1.000000
+dualbound = 1847363.846065, lowerbound=1081682.846065, norm of subgrad 1040.837569 dualbound = 1847363.846065, lowerbound=1081682.846065, norm of subgrad 43.958324 stepsize= 1.000000
+dualbound = 1847697.741091, lowerbound=1084631.741091, norm of subgrad 1042.209068 dualbound = 1847697.741091, lowerbound=1084631.741091, norm of subgrad 43.610721 stepsize= 1.000000
+dualbound = 1848029.829174, lowerbound=1082158.829174, norm of subgrad 1041.022012 dualbound = 1848029.829174, lowerbound=1082158.829174, norm of subgrad 43.590000 stepsize= 1.000000
+dualbound = 1848356.059609, lowerbound=1086388.059609, norm of subgrad 1043.012013 dualbound = 1848356.059609, lowerbound=1086388.059609, norm of subgrad 42.570300 stepsize= 1.000000
+dualbound = 1848673.996952, lowerbound=1083751.996952, norm of subgrad 1041.783565 dualbound = 1848673.996952, lowerbound=1083751.996952, norm of subgrad 43.346711 stepsize= 1.000000
+dualbound = 1848966.697382, lowerbound=1086110.697382, norm of subgrad 1042.918356 dualbound = 1848966.697382, lowerbound=1086110.697382, norm of subgrad 43.135837 stepsize= 1.000000
+dualbound = 1849285.435881, lowerbound=1082585.435881, norm of subgrad 1041.226890 dualbound = 1849285.435881, lowerbound=1082585.435881, norm of subgrad 43.436603 stepsize= 1.000000
+dualbound = 1849606.598298, lowerbound=1082639.598298, norm of subgrad 1041.255299 dualbound = 1849606.598298, lowerbound=1082639.598298, norm of subgrad 43.521976 stepsize= 1.000000
+dualbound = 1849894.349054, lowerbound=1086717.349054, norm of subgrad 1043.202449 dualbound = 1849894.349054, lowerbound=1086717.349054, norm of subgrad 42.915624 stepsize= 1.000000
+dualbound = 1850249.750085, lowerbound=1085400.750085, norm of subgrad 1042.571221 dualbound = 1850249.750085, lowerbound=1085400.750085, norm of subgrad 43.696694 stepsize= 1.000000
+dualbound = 1850535.622209, lowerbound=1082387.622208, norm of subgrad 1041.126612 dualbound = 1850535.622209, lowerbound=1082387.622208, norm of subgrad 42.928686 stepsize= 1.000000
+dualbound = 1850887.963492, lowerbound=1085880.963492, norm of subgrad 1042.772729 dualbound = 1850887.963492, lowerbound=1085880.963492, norm of subgrad 42.969074 stepsize= 1.000000
+dualbound = 1851189.904019, lowerbound=1084150.904019, norm of subgrad 1041.968763 dualbound = 1851189.904019, lowerbound=1084150.904019, norm of subgrad 43.010935 stepsize= 1.000000
+dualbound = 1851495.034982, lowerbound=1084633.034982, norm of subgrad 1042.215925 dualbound = 1851495.034982, lowerbound=1084633.034982, norm of subgrad 43.429609 stepsize= 1.000000
+dualbound = 1851797.577703, lowerbound=1083600.577703, norm of subgrad 1041.678251 dualbound = 1851797.577703, lowerbound=1083600.577703, norm of subgrad 42.373845 stepsize= 1.000000
+dualbound = 1852134.806205, lowerbound=1084402.806205, norm of subgrad 1042.102589 dualbound = 1852134.806205, lowerbound=1084402.806205, norm of subgrad 43.729035 stepsize= 1.000000
+dualbound = 1852413.927134, lowerbound=1083570.927134, norm of subgrad 1041.700978 dualbound = 1852413.927134, lowerbound=1083570.927134, norm of subgrad 43.001406 stepsize= 1.000000
+dualbound = 1852735.588697, lowerbound=1085032.588697, norm of subgrad 1042.415747 dualbound = 1852735.588697, lowerbound=1085032.588697, norm of subgrad 43.813943 stepsize= 1.000000
+dualbound = 1853050.802438, lowerbound=1087300.802438, norm of subgrad 1043.479661 dualbound = 1853050.802438, lowerbound=1087300.802438, norm of subgrad 43.176542 stepsize= 1.000000
+dualbound = 1853363.231019, lowerbound=1083112.231019, norm of subgrad 1041.508152 dualbound = 1853363.231019, lowerbound=1083112.231019, norm of subgrad 44.038944 stepsize= 1.000000
+dualbound = 1853665.791415, lowerbound=1087256.791415, norm of subgrad 1043.477739 dualbound = 1853665.791415, lowerbound=1087256.791415, norm of subgrad 43.492073 stepsize= 1.000000
+dualbound = 1853967.025453, lowerbound=1084952.025453, norm of subgrad 1042.370868 dualbound = 1853967.025453, lowerbound=1084952.025453, norm of subgrad 43.430796 stepsize= 1.000000
+dualbound = 1854313.605934, lowerbound=1085219.605934, norm of subgrad 1042.484823 dualbound = 1854313.605934, lowerbound=1085219.605934, norm of subgrad 43.607115 stepsize= 1.000000
+dualbound = 1854625.940189, lowerbound=1084896.940189, norm of subgrad 1042.307507 dualbound = 1854625.940189, lowerbound=1084896.940189, norm of subgrad 42.665375 stepsize= 1.000000
+dualbound = 1854938.637687, lowerbound=1085179.637687, norm of subgrad 1042.491073 dualbound = 1854938.637687, lowerbound=1085179.637687, norm of subgrad 43.825763 stepsize= 1.000000
+dualbound = 1855223.570897, lowerbound=1084141.570897, norm of subgrad 1041.966684 dualbound = 1855223.570897, lowerbound=1084141.570897, norm of subgrad 42.871123 stepsize= 1.000000
+dualbound = 1855577.418401, lowerbound=1080826.418401, norm of subgrad 1040.358313 dualbound = 1855577.418401, lowerbound=1080826.418401, norm of subgrad 43.276408 stepsize= 1.000000
+dualbound = 1855854.082977, lowerbound=1085198.082977, norm of subgrad 1042.460591 dualbound = 1855854.082977, lowerbound=1085198.082977, norm of subgrad 42.457798 stepsize= 1.000000
+dualbound = 1856190.432843, lowerbound=1085376.432843, norm of subgrad 1042.579701 dualbound = 1856190.432843, lowerbound=1085376.432843, norm of subgrad 43.958502 stepsize= 1.000000
+dualbound = 1856480.034608, lowerbound=1084955.034608, norm of subgrad 1042.347847 dualbound = 1856480.034608, lowerbound=1084955.034608, norm of subgrad 42.703650 stepsize= 1.000000
+dualbound = 1856842.513763, lowerbound=1087094.513763, norm of subgrad 1043.357807 dualbound = 1856842.513763, lowerbound=1087094.513763, norm of subgrad 43.168034 stepsize= 1.000000
+dualbound = 1857123.024939, lowerbound=1086317.024939, norm of subgrad 1043.001450 dualbound = 1857123.024939, lowerbound=1086317.024939, norm of subgrad 42.608816 stepsize= 1.000000
+dualbound = 1857455.209457, lowerbound=1082889.209457, norm of subgrad 1041.352587 dualbound = 1857455.209457, lowerbound=1082889.209457, norm of subgrad 43.106664 stepsize= 1.000000
+dualbound = 1857728.212703, lowerbound=1087204.212703, norm of subgrad 1043.440086 dualbound = 1857728.212703, lowerbound=1087204.212703, norm of subgrad 42.848608 stepsize= 1.000000
+dualbound = 1858065.335494, lowerbound=1084199.335494, norm of subgrad 1042.021274 dualbound = 1858065.335494, lowerbound=1084199.335494, norm of subgrad 44.114882 stepsize= 1.000000
+dualbound = 1858366.504661, lowerbound=1081984.504661, norm of subgrad 1040.920989 dualbound = 1858366.504661, lowerbound=1081984.504661, norm of subgrad 42.815525 stepsize= 1.000000
+dualbound = 1858689.228170, lowerbound=1082544.228170, norm of subgrad 1041.221028 dualbound = 1858689.228170, lowerbound=1082544.228170, norm of subgrad 43.814649 stepsize= 1.000000
+dualbound = 1858975.165438, lowerbound=1091274.165438, norm of subgrad 1045.428699 dualbound = 1858975.165438, lowerbound=1091274.165438, norm of subgrad 43.965182 stepsize= 1.000000
+dualbound = 1859298.509080, lowerbound=1082318.509080, norm of subgrad 1041.081413 dualbound = 1859298.509080, lowerbound=1082318.509080, norm of subgrad 43.073700 stepsize= 1.000000
+dualbound = 1859615.313137, lowerbound=1085015.313137, norm of subgrad 1042.389713 dualbound = 1859615.313137, lowerbound=1085015.313137, norm of subgrad 43.333637 stepsize= 1.000000
+dualbound = 1859950.674755, lowerbound=1085779.674755, norm of subgrad 1042.735189 dualbound = 1859950.674755, lowerbound=1085779.674755, norm of subgrad 43.039071 stepsize= 1.000000
+dualbound = 1860259.385341, lowerbound=1086288.385341, norm of subgrad 1042.966627 dualbound = 1860259.385341, lowerbound=1086288.385341, norm of subgrad 42.422996 stepsize= 1.000000
+dualbound = 1860581.652785, lowerbound=1084282.652785, norm of subgrad 1042.019507 dualbound = 1860581.652785, lowerbound=1084282.652785, norm of subgrad 42.944935 stepsize= 1.000000
+dualbound = 1860876.502331, lowerbound=1085313.502331, norm of subgrad 1042.534173 dualbound = 1860876.502331, lowerbound=1085313.502331, norm of subgrad 43.114377 stepsize= 1.000000
+dualbound = 1861179.503034, lowerbound=1081801.503034, norm of subgrad 1040.854218 dualbound = 1861179.503034, lowerbound=1081801.503034, norm of subgrad 43.347442 stepsize= 1.000000
+dualbound = 1861485.094021, lowerbound=1088714.094021, norm of subgrad 1044.159037 dualbound = 1861485.094021, lowerbound=1088714.094021, norm of subgrad 43.122975 stepsize= 1.000000
+dualbound = 1861830.428308, lowerbound=1085094.428308, norm of subgrad 1042.411832 dualbound = 1861830.428308, lowerbound=1085094.428308, norm of subgrad 43.282032 stepsize= 1.000000
+dualbound = 1862123.092497, lowerbound=1085362.092497, norm of subgrad 1042.541650 dualbound = 1862123.092497, lowerbound=1085362.092497, norm of subgrad 42.704381 stepsize= 1.000000
+dualbound = 1862434.728829, lowerbound=1082528.728829, norm of subgrad 1041.199178 dualbound = 1862434.728829, lowerbound=1082528.728829, norm of subgrad 43.343239 stepsize= 1.000000
+dualbound = 1862743.863778, lowerbound=1090482.863778, norm of subgrad 1045.017638 dualbound = 1862743.863778, lowerbound=1090482.863778, norm of subgrad 43.452675 stepsize= 1.000000
+dualbound = 1863055.898198, lowerbound=1083100.898198, norm of subgrad 1041.442700 dualbound = 1863055.898198, lowerbound=1083100.898198, norm of subgrad 42.591483 stepsize= 1.000000
+dualbound = 1863380.222085, lowerbound=1084944.222085, norm of subgrad 1042.345539 dualbound = 1863380.222085, lowerbound=1084944.222085, norm of subgrad 43.177817 stepsize= 1.000000
+dualbound = 1863668.368767, lowerbound=1084986.368767, norm of subgrad 1042.369113 dualbound = 1863668.368767, lowerbound=1084986.368767, norm of subgrad 42.838612 stepsize= 1.000000
+dualbound = 1863999.417474, lowerbound=1088845.417474, norm of subgrad 1044.199893 dualbound = 1863999.417474, lowerbound=1088845.417474, norm of subgrad 42.884131 stepsize= 1.000000
+dualbound = 1864305.424100, lowerbound=1084211.424100, norm of subgrad 1041.995405 dualbound = 1864305.424100, lowerbound=1084211.424100, norm of subgrad 43.000077 stepsize= 1.000000
+dualbound = 1864623.880024, lowerbound=1085632.880024, norm of subgrad 1042.663838 dualbound = 1864623.880024, lowerbound=1085632.880024, norm of subgrad 42.818873 stepsize= 1.000000
+dualbound = 1864932.191905, lowerbound=1084667.191905, norm of subgrad 1042.226075 dualbound = 1864932.191905, lowerbound=1084667.191905, norm of subgrad 43.316416 stepsize= 1.000000
+dualbound = 1865215.411846, lowerbound=1086142.411846, norm of subgrad 1042.970475 dualbound = 1865215.411846, lowerbound=1086142.411846, norm of subgrad 43.911501 stepsize= 1.000000
+dualbound = 1865532.289328, lowerbound=1087256.289328, norm of subgrad 1043.482290 dualbound = 1865532.289328, lowerbound=1087256.289328, norm of subgrad 43.770738 stepsize= 1.000000
+dualbound = 1865846.950538, lowerbound=1084551.950538, norm of subgrad 1042.165510 dualbound = 1865846.950538, lowerbound=1084551.950538, norm of subgrad 43.262700 stepsize= 1.000000
+dualbound = 1866183.381911, lowerbound=1082893.381911, norm of subgrad 1041.360832 dualbound = 1866183.381911, lowerbound=1082893.381911, norm of subgrad 43.306251 stepsize= 1.000000
+dualbound = 1866492.043745, lowerbound=1089249.043745, norm of subgrad 1044.414211 dualbound = 1866492.043745, lowerbound=1089249.043745, norm of subgrad 43.135390 stepsize= 1.000000
+dualbound = 1866801.597931, lowerbound=1082858.597931, norm of subgrad 1041.333567 dualbound = 1866801.597931, lowerbound=1082858.597931, norm of subgrad 42.738205 stepsize= 1.000000
+dualbound = 1867116.184319, lowerbound=1088343.184319, norm of subgrad 1043.979973 dualbound = 1867116.184319, lowerbound=1088343.184319, norm of subgrad 43.192434 stepsize= 1.000000
+dualbound = 1867415.818918, lowerbound=1085718.818918, norm of subgrad 1042.724709 dualbound = 1867415.818918, lowerbound=1085718.818918, norm of subgrad 43.077077 stepsize= 1.000000
+dualbound = 1867723.607133, lowerbound=1083056.607133, norm of subgrad 1041.444961 dualbound = 1867723.607133, lowerbound=1083056.607133, norm of subgrad 43.113666 stepsize= 1.000000
+dualbound = 1868048.700773, lowerbound=1087597.700773, norm of subgrad 1043.610416 dualbound = 1868048.700773, lowerbound=1087597.700773, norm of subgrad 43.012715 stepsize= 1.000000
+dualbound = 1868360.889422, lowerbound=1087322.889422, norm of subgrad 1043.503181 dualbound = 1868360.889422, lowerbound=1087322.889422, norm of subgrad 43.453293 stepsize= 1.000000
+dualbound = 1868646.379965, lowerbound=1085915.379965, norm of subgrad 1042.822315 dualbound = 1868646.379965, lowerbound=1085915.379965, norm of subgrad 42.994076 stepsize= 1.000000
+dualbound = 1868948.403642, lowerbound=1087939.403642, norm of subgrad 1043.782738 dualbound = 1868948.403642, lowerbound=1087939.403642, norm of subgrad 42.953739 stepsize= 1.000000
+dualbound = 1869303.003728, lowerbound=1082654.003728, norm of subgrad 1041.226202 dualbound = 1869303.003728, lowerbound=1082654.003728, norm of subgrad 43.041841 stepsize= 1.000000
+dualbound = 1869617.834211, lowerbound=1086317.834211, norm of subgrad 1042.981704 dualbound = 1869617.834211, lowerbound=1086317.834211, norm of subgrad 42.518590 stepsize= 1.000000
+dualbound = 1869922.818779, lowerbound=1088573.818779, norm of subgrad 1044.084680 dualbound = 1869922.818779, lowerbound=1088573.818779, norm of subgrad 42.941641 stepsize= 1.000000
+dualbound = 1870187.557918, lowerbound=1086487.557918, norm of subgrad 1043.115314 dualbound = 1870187.557918, lowerbound=1086487.557918, norm of subgrad 43.205777 stepsize= 1.000000
+dualbound = 1870490.598569, lowerbound=1084768.598569, norm of subgrad 1042.268007 dualbound = 1870490.598569, lowerbound=1084768.598569, norm of subgrad 43.093395 stepsize= 1.000000
+dualbound = 1870818.332133, lowerbound=1083673.332133, norm of subgrad 1041.732371 dualbound = 1870818.332133, lowerbound=1083673.332133, norm of subgrad 43.136221 stepsize= 1.000000
+dualbound = 1871137.704694, lowerbound=1089493.704694, norm of subgrad 1044.524152 dualbound = 1871137.704694, lowerbound=1089493.704694, norm of subgrad 43.085642 stepsize= 1.000000
+dualbound = 1871449.599637, lowerbound=1086805.599637, norm of subgrad 1043.275419 dualbound = 1871449.599637, lowerbound=1086805.599637, norm of subgrad 43.930570 stepsize= 1.000000
+dualbound = 1871751.243744, lowerbound=1084435.243744, norm of subgrad 1042.117673 dualbound = 1871751.243744, lowerbound=1084435.243744, norm of subgrad 43.308707 stepsize= 1.000000
+dualbound = 1872061.358427, lowerbound=1086155.358427, norm of subgrad 1042.956067 dualbound = 1872061.358427, lowerbound=1086155.358427, norm of subgrad 43.727734 stepsize= 1.000000
+dualbound = 1872364.040631, lowerbound=1087567.040631, norm of subgrad 1043.608183 dualbound = 1872364.040631, lowerbound=1087567.040631, norm of subgrad 43.054410 stepsize= 1.000000
+dualbound = 1872696.172693, lowerbound=1085624.172693, norm of subgrad 1042.675008 dualbound = 1872696.172693, lowerbound=1085624.172693, norm of subgrad 43.348957 stepsize= 1.000000
+dualbound = 1872984.529905, lowerbound=1088644.529905, norm of subgrad 1044.130514 dualbound = 1872984.529905, lowerbound=1088644.529905, norm of subgrad 43.039020 stepsize= 1.000000
+dualbound = 1873325.299184, lowerbound=1082273.299184, norm of subgrad 1041.064983 dualbound = 1873325.299184, lowerbound=1082273.299184, norm of subgrad 43.402411 stepsize= 1.000000
+dualbound = 1873617.451469, lowerbound=1089552.451469, norm of subgrad 1044.577164 dualbound = 1873617.451469, lowerbound=1089552.451469, norm of subgrad 43.372252 stepsize= 1.000000
+dualbound = 1873898.630226, lowerbound=1086446.630226, norm of subgrad 1043.102886 dualbound = 1873898.630226, lowerbound=1086446.630226, norm of subgrad 43.568093 stepsize= 1.000000
+dualbound = 1874228.606675, lowerbound=1086882.606675, norm of subgrad 1043.282132 dualbound = 1874228.606675, lowerbound=1086882.606675, norm of subgrad 43.416315 stepsize= 1.000000
+dualbound = 1874566.523581, lowerbound=1084545.523581, norm of subgrad 1042.107731 dualbound = 1874566.523581, lowerbound=1084545.523581, norm of subgrad 42.200911 stepsize= 1.000000
+dualbound = 1874867.138528, lowerbound=1087698.138528, norm of subgrad 1043.668596 dualbound = 1874867.138528, lowerbound=1087698.138528, norm of subgrad 42.972258 stepsize= 1.000000
+dualbound = 1875166.130203, lowerbound=1086366.130203, norm of subgrad 1043.050876 dualbound = 1875166.130203, lowerbound=1086366.130203, norm of subgrad 43.451026 stepsize= 1.000000
+dualbound = 1875480.052299, lowerbound=1080863.052299, norm of subgrad 1040.378322 dualbound = 1875480.052299, lowerbound=1080863.052299, norm of subgrad 42.870994 stepsize= 1.000000
+dualbound = 1875793.370539, lowerbound=1087524.370539, norm of subgrad 1043.562346 dualbound = 1875793.370539, lowerbound=1087524.370539, norm of subgrad 42.559585 stepsize= 1.000000
+dualbound = 1876111.685844, lowerbound=1086845.685844, norm of subgrad 1043.279774 dualbound = 1876111.685844, lowerbound=1086845.685844, norm of subgrad 43.649918 stepsize= 1.000000
+dualbound = 1876371.206409, lowerbound=1090652.206409, norm of subgrad 1045.108227 dualbound = 1876371.206409, lowerbound=1090652.206409, norm of subgrad 43.110562 stepsize= 1.000000
+dualbound = 1876720.496923, lowerbound=1084926.496923, norm of subgrad 1042.340874 dualbound = 1876720.496923, lowerbound=1084926.496923, norm of subgrad 43.557898 stepsize= 1.000000
+dualbound = 1877026.854412, lowerbound=1085571.854412, norm of subgrad 1042.638410 dualbound = 1877026.854412, lowerbound=1085571.854412, norm of subgrad 42.770989 stepsize= 1.000000
+dualbound = 1877335.657219, lowerbound=1085643.657219, norm of subgrad 1042.678597 dualbound = 1877335.657219, lowerbound=1085643.657219, norm of subgrad 42.939525 stepsize= 1.000000
+dualbound = 1877632.824517, lowerbound=1091929.824517, norm of subgrad 1045.682946 dualbound = 1877632.824517, lowerbound=1091929.824517, norm of subgrad 42.663419 stepsize= 1.000000
+dualbound = 1877955.561180, lowerbound=1084240.561180, norm of subgrad 1041.989233 dualbound = 1877955.561180, lowerbound=1084240.561180, norm of subgrad 42.705230 stepsize= 1.000000
+dualbound = 1878264.245292, lowerbound=1087454.245292, norm of subgrad 1043.534496 dualbound = 1878264.245292, lowerbound=1087454.245292, norm of subgrad 42.646033 stepsize= 1.000000
+dualbound = 1878567.759677, lowerbound=1084434.759677, norm of subgrad 1042.128955 dualbound = 1878567.759677, lowerbound=1084434.759677, norm of subgrad 43.606357 stepsize= 1.000000
+dualbound = 1878848.577069, lowerbound=1088843.577069, norm of subgrad 1044.213856 dualbound = 1878848.577069, lowerbound=1088843.577069, norm of subgrad 42.659318 stepsize= 1.000000
+dualbound = 1879188.130148, lowerbound=1086419.130148, norm of subgrad 1043.044644 dualbound = 1879188.130148, lowerbound=1086419.130148, norm of subgrad 43.157306 stepsize= 1.000000
+dualbound = 1879482.413590, lowerbound=1086063.413590, norm of subgrad 1042.861646 dualbound = 1879482.413590, lowerbound=1086063.413590, norm of subgrad 42.323557 stepsize= 1.000000
+dualbound = 1879808.316881, lowerbound=1089537.316881, norm of subgrad 1044.555559 dualbound = 1879808.316881, lowerbound=1089537.316881, norm of subgrad 43.415473 stepsize= 1.000000
+dualbound = 1880082.886884, lowerbound=1083823.886884, norm of subgrad 1041.804150 dualbound = 1880082.886884, lowerbound=1083823.886884, norm of subgrad 42.503765 stepsize= 1.000000
+dualbound = 1880440.550962, lowerbound=1086354.550962, norm of subgrad 1043.016084 dualbound = 1880440.550962, lowerbound=1086354.550962, norm of subgrad 43.424234 stepsize= 1.000000
+dualbound = 1880720.136553, lowerbound=1086546.136553, norm of subgrad 1043.090186 dualbound = 1880720.136553, lowerbound=1086546.136553, norm of subgrad 42.078327 stepsize= 1.000000
+dualbound = 1881039.946959, lowerbound=1088542.946959, norm of subgrad 1044.080431 dualbound = 1881039.946959, lowerbound=1088542.946959, norm of subgrad 43.368311 stepsize= 1.000000
+dualbound = 1881328.961621, lowerbound=1086929.961621, norm of subgrad 1043.316329 dualbound = 1881328.961621, lowerbound=1086929.961621, norm of subgrad 43.220535 stepsize= 1.000000
+dualbound = 1881660.503788, lowerbound=1085614.503788, norm of subgrad 1042.642558 dualbound = 1881660.503788, lowerbound=1085614.503788, norm of subgrad 42.667812 stepsize= 1.000000
+dualbound = 1881968.959695, lowerbound=1088174.959695, norm of subgrad 1043.878326 dualbound = 1881968.959695, lowerbound=1088174.959695, norm of subgrad 42.608167 stepsize= 1.000000
+dualbound = 1882271.377993, lowerbound=1085729.377993, norm of subgrad 1042.739362 dualbound = 1882271.377993, lowerbound=1085729.377993, norm of subgrad 43.340723 stepsize= 1.000000
+dualbound = 1882568.548213, lowerbound=1088665.548213, norm of subgrad 1044.103706 dualbound = 1882568.548213, lowerbound=1088665.548213, norm of subgrad 42.239439 stepsize= 1.000000
+dualbound = 1882869.876414, lowerbound=1086673.876414, norm of subgrad 1043.180174 dualbound = 1882869.876414, lowerbound=1086673.876414, norm of subgrad 43.038683 stepsize= 1.000000
+dualbound = 1883193.661107, lowerbound=1086555.661107, norm of subgrad 1043.171444 dualbound = 1883193.661107, lowerbound=1086555.661107, norm of subgrad 44.438550 stepsize= 1.000000
+dualbound = 1883466.202838, lowerbound=1086033.202838, norm of subgrad 1042.880723 dualbound = 1883466.202838, lowerbound=1086033.202838, norm of subgrad 42.889879 stepsize= 1.000000
+dualbound = 1883794.250640, lowerbound=1088473.250640, norm of subgrad 1044.055674 dualbound = 1883794.250640, lowerbound=1088473.250640, norm of subgrad 43.669758 stepsize= 1.000000
+dualbound = 1884106.727184, lowerbound=1086307.727184, norm of subgrad 1042.996993 dualbound = 1884106.727184, lowerbound=1086307.727184, norm of subgrad 42.982282 stepsize= 1.000000
+dualbound = 1884436.332969, lowerbound=1089442.332969, norm of subgrad 1044.485200 dualbound = 1884436.332969, lowerbound=1089442.332969, norm of subgrad 42.855639 stepsize= 1.000000
+dualbound = 1884753.997186, lowerbound=1083057.997186, norm of subgrad 1041.435066 dualbound = 1884753.997186, lowerbound=1083057.997186, norm of subgrad 42.972831 stepsize= 1.000000
+dualbound = 1885011.854011, lowerbound=1087933.854011, norm of subgrad 1043.761876 dualbound = 1885011.854011, lowerbound=1087933.854011, norm of subgrad 41.986389 stepsize= 1.000000
+dualbound = 1885347.977311, lowerbound=1090013.977311, norm of subgrad 1044.787527 dualbound = 1885347.977311, lowerbound=1090013.977311, norm of subgrad 43.624801 stepsize= 1.000000
+dualbound = 1885620.600412, lowerbound=1088127.600412, norm of subgrad 1043.939941 dualbound = 1885620.600412, lowerbound=1088127.600412, norm of subgrad 44.222428 stepsize= 1.000000
+dualbound = 1885916.986771, lowerbound=1086585.986771, norm of subgrad 1043.143320 dualbound = 1885916.986771, lowerbound=1086585.986771, norm of subgrad 43.109006 stepsize= 1.000000
+dualbound = 1886254.501149, lowerbound=1086402.501149, norm of subgrad 1043.017019 dualbound = 1886254.501149, lowerbound=1086402.501149, norm of subgrad 42.655766 stepsize= 1.000000
+dualbound = 1886585.074827, lowerbound=1086142.074827, norm of subgrad 1042.897442 dualbound = 1886585.074827, lowerbound=1086142.074827, norm of subgrad 42.703322 stepsize= 1.000000
+dualbound = 1886893.845244, lowerbound=1092544.845244, norm of subgrad 1045.959772 dualbound = 1886893.845244, lowerbound=1092544.845244, norm of subgrad 42.376531 stepsize= 1.000000
+dualbound = 1887183.818995, lowerbound=1084885.818995, norm of subgrad 1042.314165 dualbound = 1887183.818995, lowerbound=1084885.818995, norm of subgrad 42.696297 stepsize= 1.000000
+dualbound = 1887471.266323, lowerbound=1090922.266323, norm of subgrad 1045.240770 dualbound = 1887471.266323, lowerbound=1090922.266323, norm of subgrad 43.513760 stepsize= 1.000000
+dualbound = 1887781.023381, lowerbound=1086727.023381, norm of subgrad 1043.183121 dualbound = 1887781.023381, lowerbound=1086727.023381, norm of subgrad 42.588227 stepsize= 1.000000
+dualbound = 1888092.545787, lowerbound=1087090.545787, norm of subgrad 1043.366928 dualbound = 1888092.545787, lowerbound=1087090.545787, norm of subgrad 42.842997 stepsize= 1.000000
+dualbound = 1888394.566174, lowerbound=1088054.566174, norm of subgrad 1043.837902 dualbound = 1888394.566174, lowerbound=1088054.566174, norm of subgrad 42.953701 stepsize= 1.000000
+dualbound = 1888712.385051, lowerbound=1089714.385051, norm of subgrad 1044.637921 dualbound = 1888712.385051, lowerbound=1089714.385051, norm of subgrad 43.264522 stepsize= 1.000000
+dualbound = 1888974.804441, lowerbound=1088839.804441, norm of subgrad 1044.240779 dualbound = 1888974.804441, lowerbound=1088839.804441, norm of subgrad 43.144170 stepsize= 1.000000
+dualbound = 1889296.834282, lowerbound=1085357.834282, norm of subgrad 1042.533853 dualbound = 1889296.834282, lowerbound=1085357.834282, norm of subgrad 42.907224 stepsize= 1.000000
+dualbound = 1889650.181085, lowerbound=1087756.181085, norm of subgrad 1043.676761 dualbound = 1889650.181085, lowerbound=1087756.181085, norm of subgrad 43.108547 stepsize= 1.000000
+dualbound = 1889928.308723, lowerbound=1087339.308723, norm of subgrad 1043.469362 dualbound = 1889928.308723, lowerbound=1087339.308723, norm of subgrad 42.037217 stepsize= 1.000000
+dualbound = 1890228.675384, lowerbound=1090237.675384, norm of subgrad 1044.926636 dualbound = 1890228.675384, lowerbound=1090237.675384, norm of subgrad 43.981435 stepsize= 1.000000
+dualbound = 1890521.825927, lowerbound=1090958.825927, norm of subgrad 1045.233862 dualbound = 1890521.825927, lowerbound=1090958.825927, norm of subgrad 42.990121 stepsize= 1.000000
+dualbound = 1890825.871805, lowerbound=1084743.871805, norm of subgrad 1042.263821 dualbound = 1890825.871805, lowerbound=1084743.871805, norm of subgrad 43.290252 stepsize= 1.000000
+dualbound = 1891150.642347, lowerbound=1091957.642347, norm of subgrad 1045.695769 dualbound = 1891150.642347, lowerbound=1091957.642347, norm of subgrad 42.974068 stepsize= 1.000000
+dualbound = 1891471.802435, lowerbound=1086283.802435, norm of subgrad 1042.951966 dualbound = 1891471.802435, lowerbound=1086283.802435, norm of subgrad 42.262987 stepsize= 1.000000
+dualbound = 1891772.640911, lowerbound=1089555.640911, norm of subgrad 1044.541833 dualbound = 1891772.640911, lowerbound=1089555.640911, norm of subgrad 42.577441 stepsize= 1.000000
+dualbound = 1892062.932310, lowerbound=1086460.932310, norm of subgrad 1043.053178 dualbound = 1892062.932310, lowerbound=1086460.932310, norm of subgrad 42.300017 stepsize= 1.000000
+dualbound = 1892362.329679, lowerbound=1088142.329679, norm of subgrad 1043.879461 dualbound = 1892362.329679, lowerbound=1088142.329679, norm of subgrad 42.911506 stepsize= 1.000000
+dualbound = 1892669.101390, lowerbound=1087460.101390, norm of subgrad 1043.563655 dualbound = 1892669.101390, lowerbound=1087460.101390, norm of subgrad 43.263977 stepsize= 1.000000
+dualbound = 1892964.522533, lowerbound=1090292.522533, norm of subgrad 1044.932784 dualbound = 1892964.522533, lowerbound=1090292.522533, norm of subgrad 43.444460 stepsize= 1.000000
+dualbound = 1893262.081924, lowerbound=1086980.081924, norm of subgrad 1043.346099 dualbound = 1893262.081924, lowerbound=1086980.081924, norm of subgrad 43.457559 stepsize= 1.000000
+dualbound = 1893578.741418, lowerbound=1091362.741418, norm of subgrad 1045.427540 dualbound = 1893578.741418, lowerbound=1091362.741418, norm of subgrad 43.274236 stepsize= 1.000000
+dualbound = 1893898.575680, lowerbound=1086695.575680, norm of subgrad 1043.186261 dualbound = 1893898.575680, lowerbound=1086695.575680, norm of subgrad 43.148978 stepsize= 1.000000
+dualbound = 1894186.658078, lowerbound=1085740.658078, norm of subgrad 1042.723673 dualbound = 1894186.658078, lowerbound=1085740.658078, norm of subgrad 42.662424 stepsize= 1.000000
+dualbound = 1894503.981142, lowerbound=1090422.981142, norm of subgrad 1044.994728 dualbound = 1894503.981142, lowerbound=1090422.981142, norm of subgrad 43.684357 stepsize= 1.000000
+dualbound = 1894782.333742, lowerbound=1090648.333742, norm of subgrad 1045.112115 dualbound = 1894782.333742, lowerbound=1090648.333742, norm of subgrad 43.466684 stepsize= 1.000000
+dualbound = 1895103.108612, lowerbound=1089136.108612, norm of subgrad 1044.357749 dualbound = 1895103.108612, lowerbound=1089136.108612, norm of subgrad 43.217761 stepsize= 1.000000
+dualbound = 1895414.132794, lowerbound=1085495.132794, norm of subgrad 1042.610729 dualbound = 1895414.132794, lowerbound=1085495.132794, norm of subgrad 43.046767 stepsize= 1.000000
+dualbound = 1895714.430326, lowerbound=1088774.430326, norm of subgrad 1044.201815 dualbound = 1895714.430326, lowerbound=1088774.430326, norm of subgrad 43.396976 stepsize= 1.000000
+dualbound = 1896016.400037, lowerbound=1092278.400037, norm of subgrad 1045.877813 dualbound = 1896016.400037, lowerbound=1092278.400037, norm of subgrad 43.404720 stepsize= 1.000000
+dualbound = 1896335.657662, lowerbound=1085706.657662, norm of subgrad 1042.722234 dualbound = 1896335.657662, lowerbound=1085706.657662, norm of subgrad 43.384993 stepsize= 1.000000
+dualbound = 1896611.142892, lowerbound=1090672.142892, norm of subgrad 1045.074707 dualbound = 1896611.142892, lowerbound=1090672.142892, norm of subgrad 42.243168 stepsize= 1.000000
+dualbound = 1896970.970419, lowerbound=1086019.970419, norm of subgrad 1042.859996 dualbound = 1896970.970419, lowerbound=1086019.970419, norm of subgrad 43.552583 stepsize= 1.000000
+dualbound = 1897232.203282, lowerbound=1090202.203282, norm of subgrad 1044.859418 dualbound = 1897232.203282, lowerbound=1090202.203282, norm of subgrad 42.311143 stepsize= 1.000000
+dualbound = 1897550.984148, lowerbound=1091067.984148, norm of subgrad 1045.286556 dualbound = 1897550.984148, lowerbound=1091067.984148, norm of subgrad 43.298740 stepsize= 1.000000
+dualbound = 1897849.302849, lowerbound=1088259.302849, norm of subgrad 1043.980988 dualbound = 1897849.302849, lowerbound=1088259.302849, norm of subgrad 43.992257 stepsize= 1.000000
+dualbound = 1898137.716519, lowerbound=1089936.716519, norm of subgrad 1044.779745 dualbound = 1898137.716519, lowerbound=1089936.716519, norm of subgrad 43.776862 stepsize= 1.000000
+dualbound = 1898432.368595, lowerbound=1087499.368595, norm of subgrad 1043.607382 dualbound = 1898432.368595, lowerbound=1087499.368595, norm of subgrad 43.722444 stepsize= 1.000000
+dualbound = 1898760.410772, lowerbound=1092166.410772, norm of subgrad 1045.797500 dualbound = 1898760.410772, lowerbound=1092166.410772, norm of subgrad 43.058590 stepsize= 1.000000
+dualbound = 1899068.486862, lowerbound=1086628.486862, norm of subgrad 1043.163212 dualbound = 1899068.486862, lowerbound=1086628.486862, norm of subgrad 43.232813 stepsize= 1.000000
+dualbound = 1899339.611505, lowerbound=1090548.611505, norm of subgrad 1045.059621 dualbound = 1899339.611505, lowerbound=1090548.611505, norm of subgrad 43.268056 stepsize= 1.000000
+dualbound = 1899668.129745, lowerbound=1090821.129745, norm of subgrad 1045.165599 dualbound = 1899668.129745, lowerbound=1090821.129745, norm of subgrad 43.341876 stepsize= 1.000000
+dualbound = 1899995.045355, lowerbound=1086824.045355, norm of subgrad 1043.230102 dualbound = 1899995.045355, lowerbound=1086824.045355, norm of subgrad 42.800883 stepsize= 1.000000
+dualbound = 1900284.819835, lowerbound=1089683.819835, norm of subgrad 1044.604145 dualbound = 1900284.819835, lowerbound=1089683.819835, norm of subgrad 42.470866 stepsize= 1.000000
+dualbound = 1900612.460508, lowerbound=1088845.460508, norm of subgrad 1044.214279 dualbound = 1900612.460508, lowerbound=1088845.460508, norm of subgrad 43.193063 stepsize= 1.000000
+dualbound = 1900880.316801, lowerbound=1089663.316801, norm of subgrad 1044.595767 dualbound = 1900880.316801, lowerbound=1089663.316801, norm of subgrad 42.247560 stepsize= 1.000000
+dualbound = 1901215.035422, lowerbound=1089864.035422, norm of subgrad 1044.688487 dualbound = 1901215.035422, lowerbound=1089864.035422, norm of subgrad 42.950188 stepsize= 1.000000
+dualbound = 1901479.212794, lowerbound=1087713.212794, norm of subgrad 1043.693544 dualbound = 1901479.212794, lowerbound=1087713.212794, norm of subgrad 42.978801 stepsize= 1.000000
+dualbound = 1901811.704090, lowerbound=1090195.704090, norm of subgrad 1044.870664 dualbound = 1901811.704090, lowerbound=1090195.704090, norm of subgrad 43.491278 stepsize= 1.000000
+dualbound = 1902088.759972, lowerbound=1090104.759972, norm of subgrad 1044.838150 dualbound = 1902088.759972, lowerbound=1090104.759972, norm of subgrad 43.116770 stepsize= 1.000000
+dualbound = 1902417.570279, lowerbound=1088144.570279, norm of subgrad 1043.867602 dualbound = 1902417.570279, lowerbound=1088144.570279, norm of subgrad 42.939612 stepsize= 1.000000
+dualbound = 1902718.953986, lowerbound=1088068.953986, norm of subgrad 1043.827550 dualbound = 1902718.953986, lowerbound=1088068.953986, norm of subgrad 42.525095 stepsize= 1.000000
+dualbound = 1903023.680883, lowerbound=1087210.680883, norm of subgrad 1043.391432 dualbound = 1903023.680883, lowerbound=1087210.680883, norm of subgrad 41.949099 stepsize= 1.000000
+dualbound = 1903326.833369, lowerbound=1090931.833369, norm of subgrad 1045.180287 dualbound = 1903326.833369, lowerbound=1090931.833369, norm of subgrad 42.108817 stepsize= 1.000000
+dualbound = 1903633.236730, lowerbound=1089726.236730, norm of subgrad 1044.649815 dualbound = 1903633.236730, lowerbound=1089726.236730, norm of subgrad 43.282830 stepsize= 1.000000
+dualbound = 1903914.333567, lowerbound=1089184.333567, norm of subgrad 1044.392806 dualbound = 1903914.333567, lowerbound=1089184.333567, norm of subgrad 43.047611 stepsize= 1.000000
+dualbound = 1904222.861946, lowerbound=1092790.861946, norm of subgrad 1046.105569 dualbound = 1904222.861946, lowerbound=1092790.861946, norm of subgrad 43.064235 stepsize= 1.000000
+dualbound = 1904536.193437, lowerbound=1086961.193437, norm of subgrad 1043.323149 dualbound = 1904536.193437, lowerbound=1086961.193437, norm of subgrad 43.305098 stepsize= 1.000000
+dualbound = 1904846.261212, lowerbound=1089691.261212, norm of subgrad 1044.602920 dualbound = 1904846.261212, lowerbound=1089691.261212, norm of subgrad 42.591875 stepsize= 1.000000
+dualbound = 1905159.189150, lowerbound=1087755.189150, norm of subgrad 1043.688742 dualbound = 1905159.189150, lowerbound=1087755.189150, norm of subgrad 42.940982 stepsize= 1.000000
+dualbound = 1905456.038101, lowerbound=1088425.038101, norm of subgrad 1044.023964 dualbound = 1905456.038101, lowerbound=1088425.038101, norm of subgrad 43.102772 stepsize= 1.000000
+dualbound = 1905728.089112, lowerbound=1092879.089112, norm of subgrad 1046.157774 dualbound = 1905728.089112, lowerbound=1092879.089112, norm of subgrad 42.884158 stepsize= 1.000000
+dualbound = 1906067.778800, lowerbound=1088029.778800, norm of subgrad 1043.781001 dualbound = 1906067.778800, lowerbound=1088029.778800, norm of subgrad 42.292904 stepsize= 1.000000
+dualbound = 1906377.931051, lowerbound=1087016.931051, norm of subgrad 1043.323503 dualbound = 1906377.931051, lowerbound=1087016.931051, norm of subgrad 42.628069 stepsize= 1.000000
+dualbound = 1906637.991149, lowerbound=1093411.991149, norm of subgrad 1046.394281 dualbound = 1906637.991149, lowerbound=1093411.991149, norm of subgrad 42.297282 stepsize= 1.000000
+dualbound = 1906966.347748, lowerbound=1091609.347748, norm of subgrad 1045.549783 dualbound = 1906966.347748, lowerbound=1091609.347748, norm of subgrad 43.512718 stepsize= 1.000000
+dualbound = 1907244.354937, lowerbound=1090301.354937, norm of subgrad 1044.972897 dualbound = 1907244.354937, lowerbound=1090301.354937, norm of subgrad 44.102236 stepsize= 1.000000
+dualbound = 1907537.800005, lowerbound=1091507.800005, norm of subgrad 1045.487829 dualbound = 1907537.800005, lowerbound=1091507.800005, norm of subgrad 42.783701 stepsize= 1.000000
+dualbound = 1907899.776260, lowerbound=1090778.776260, norm of subgrad 1045.114719 dualbound = 1907899.776260, lowerbound=1090778.776260, norm of subgrad 42.988094 stepsize= 1.000000
+dualbound = 1908168.511376, lowerbound=1092002.511376, norm of subgrad 1045.724874 dualbound = 1908168.511376, lowerbound=1092002.511376, norm of subgrad 42.505707 stepsize= 1.000000
+dualbound = 1908463.401723, lowerbound=1092352.401723, norm of subgrad 1045.881638 dualbound = 1908463.401723, lowerbound=1092352.401723, norm of subgrad 42.554557 stepsize= 1.000000
+dualbound = 1908767.068109, lowerbound=1088488.068109, norm of subgrad 1044.042177 dualbound = 1908767.068109, lowerbound=1088488.068109, norm of subgrad 42.891332 stepsize= 1.000000
+dualbound = 1909096.999898, lowerbound=1087940.999898, norm of subgrad 1043.754760 dualbound = 1909096.999898, lowerbound=1087940.999898, norm of subgrad 42.578537 stepsize= 1.000000
+dualbound = 1909358.406000, lowerbound=1091908.406000, norm of subgrad 1045.684659 dualbound = 1909358.406000, lowerbound=1091908.406000, norm of subgrad 42.537114 stepsize= 1.000000
+dualbound = 1909652.731691, lowerbound=1092134.731691, norm of subgrad 1045.779963 dualbound = 1909652.731691, lowerbound=1092134.731691, norm of subgrad 42.606639 stepsize= 1.000000
+dualbound = 1909954.955759, lowerbound=1091441.955759, norm of subgrad 1045.430034 dualbound = 1909954.955759, lowerbound=1091441.955759, norm of subgrad 42.240077 stepsize= 1.000000
+dualbound = 1910280.441461, lowerbound=1091814.441461, norm of subgrad 1045.635903 dualbound = 1910280.441461, lowerbound=1091814.441461, norm of subgrad 43.191269 stepsize= 1.000000
+dualbound = 1910532.689183, lowerbound=1092454.689183, norm of subgrad 1045.971648 dualbound = 1910532.689183, lowerbound=1092454.689183, norm of subgrad 43.060977 stepsize= 1.000000
+dualbound = 1910860.021421, lowerbound=1088367.021421, norm of subgrad 1044.002405 dualbound = 1910860.021421, lowerbound=1088367.021421, norm of subgrad 43.604269 stepsize= 1.000000
+dualbound = 1911136.708248, lowerbound=1094804.708248, norm of subgrad 1047.075312 dualbound = 1911136.708248, lowerbound=1094804.708248, norm of subgrad 42.879912 stepsize= 1.000000
+dualbound = 1911470.119761, lowerbound=1090267.119761, norm of subgrad 1044.867034 dualbound = 1911470.119761, lowerbound=1090267.119761, norm of subgrad 42.584170 stepsize= 1.000000
+dualbound = 1911760.251833, lowerbound=1095062.251833, norm of subgrad 1047.188260 dualbound = 1911760.251833, lowerbound=1095062.251833, norm of subgrad 42.791729 stepsize= 1.000000
+dualbound = 1912072.634079, lowerbound=1086279.634079, norm of subgrad 1042.958117 dualbound = 1912072.634079, lowerbound=1086279.634079, norm of subgrad 42.360149 stepsize= 1.000000
+dualbound = 1912372.640432, lowerbound=1091653.640432, norm of subgrad 1045.570964 dualbound = 1912372.640432, lowerbound=1091653.640432, norm of subgrad 43.185719 stepsize= 1.000000
+dualbound = 1912630.746694, lowerbound=1090596.746694, norm of subgrad 1045.101788 dualbound = 1912630.746694, lowerbound=1090596.746694, norm of subgrad 43.578736 stepsize= 1.000000
+dualbound = 1912935.120641, lowerbound=1091461.120641, norm of subgrad 1045.491808 dualbound = 1912935.120641, lowerbound=1091461.120641, norm of subgrad 43.547376 stepsize= 1.000000
+dualbound = 1913267.640976, lowerbound=1095473.640976, norm of subgrad 1047.349818 dualbound = 1913267.640976, lowerbound=1095473.640976, norm of subgrad 42.432539 stepsize= 1.000000
+dualbound = 1913582.008669, lowerbound=1088509.008669, norm of subgrad 1044.040233 dualbound = 1913582.008669, lowerbound=1088509.008669, norm of subgrad 42.724322 stepsize= 1.000000
+dualbound = 1913863.352653, lowerbound=1088937.352653, norm of subgrad 1044.251097 dualbound = 1913863.352653, lowerbound=1088937.352653, norm of subgrad 42.477570 stepsize= 1.000000
+dualbound = 1914148.552194, lowerbound=1092676.552194, norm of subgrad 1046.039938 dualbound = 1914148.552194, lowerbound=1092676.552194, norm of subgrad 42.522930 stepsize= 1.000000
+dualbound = 1914469.987722, lowerbound=1092190.987722, norm of subgrad 1045.787257 dualbound = 1914469.987722, lowerbound=1092190.987722, norm of subgrad 42.443321 stepsize= 1.000000
+dualbound = 1914770.296615, lowerbound=1092905.296615, norm of subgrad 1046.155006 dualbound = 1914770.296615, lowerbound=1092905.296615, norm of subgrad 42.840505 stepsize= 1.000000
+dualbound = 1915038.412250, lowerbound=1090585.412250, norm of subgrad 1045.073400 dualbound = 1915038.412250, lowerbound=1090585.412250, norm of subgrad 43.140649 stepsize= 1.000000
+dualbound = 1915369.650494, lowerbound=1090971.650494, norm of subgrad 1045.220384 dualbound = 1915369.650494, lowerbound=1090971.650494, norm of subgrad 42.956236 stepsize= 1.000000
+dualbound = 1915666.793277, lowerbound=1091832.793277, norm of subgrad 1045.663327 dualbound = 1915666.793277, lowerbound=1091832.793277, norm of subgrad 43.314464 stepsize= 1.000000
+dualbound = 1915952.936544, lowerbound=1093135.936544, norm of subgrad 1046.270967 dualbound = 1915952.936544, lowerbound=1093135.936544, norm of subgrad 42.815222 stepsize= 1.000000
+dualbound = 1916256.044718, lowerbound=1088915.044718, norm of subgrad 1044.243767 dualbound = 1916256.044718, lowerbound=1088915.044718, norm of subgrad 42.814813 stepsize= 1.000000
+dualbound = 1916547.107723, lowerbound=1091334.107723, norm of subgrad 1045.380365 dualbound = 1916547.107723, lowerbound=1091334.107723, norm of subgrad 42.155225 stepsize= 1.000000
+dualbound = 1916879.426626, lowerbound=1092970.426626, norm of subgrad 1046.159848 dualbound = 1916879.426626, lowerbound=1092970.426626, norm of subgrad 42.571339 stepsize= 1.000000
+dualbound = 1917142.976281, lowerbound=1090990.976281, norm of subgrad 1045.255460 dualbound = 1917142.976281, lowerbound=1090990.976281, norm of subgrad 42.796608 stepsize= 1.000000
+dualbound = 1917442.319413, lowerbound=1091839.319413, norm of subgrad 1045.650668 dualbound = 1917442.319413, lowerbound=1091839.319413, norm of subgrad 42.957457 stepsize= 1.000000
+dualbound = 1917728.461487, lowerbound=1092241.461487, norm of subgrad 1045.825732 dualbound = 1917728.461487, lowerbound=1092241.461487, norm of subgrad 42.380916 stepsize= 1.000000
+dualbound = 1918076.634460, lowerbound=1088644.634460, norm of subgrad 1044.114761 dualbound = 1918076.634460, lowerbound=1088644.634460, norm of subgrad 43.349429 stepsize= 1.000000
+dualbound = 1918337.582701, lowerbound=1093523.582701, norm of subgrad 1046.436134 dualbound = 1918337.582701, lowerbound=1093523.582701, norm of subgrad 42.023187 stepsize= 1.000000
+dualbound = 1918634.003353, lowerbound=1092579.003353, norm of subgrad 1046.016732 dualbound = 1918634.003353, lowerbound=1092579.003353, norm of subgrad 43.225232 stepsize= 1.000000
+dualbound = 1918949.402314, lowerbound=1091883.402314, norm of subgrad 1045.651664 dualbound = 1918949.402314, lowerbound=1091883.402314, norm of subgrad 42.654413 stepsize= 1.000000
+dualbound = 1919253.886626, lowerbound=1092415.886626, norm of subgrad 1045.902427 dualbound = 1919253.886626, lowerbound=1092415.886626, norm of subgrad 42.432114 stepsize= 1.000000
+dualbound = 1919545.641576, lowerbound=1086835.641576, norm of subgrad 1043.264895 dualbound = 1919545.641576, lowerbound=1086835.641576, norm of subgrad 43.101682 stepsize= 1.000000
+dualbound = 1919829.196296, lowerbound=1095102.196296, norm of subgrad 1047.252212 dualbound = 1919829.196296, lowerbound=1095102.196296, norm of subgrad 43.801310 stepsize= 1.000000
+dualbound = 1920115.813967, lowerbound=1092113.813967, norm of subgrad 1045.800561 dualbound = 1920115.813967, lowerbound=1092113.813967, norm of subgrad 43.262197 stepsize= 1.000000
+dualbound = 1920447.026478, lowerbound=1090627.026478, norm of subgrad 1045.059820 dualbound = 1920447.026478, lowerbound=1090627.026478, norm of subgrad 43.060568 stepsize= 1.000000
+dualbound = 1920731.603180, lowerbound=1092325.603180, norm of subgrad 1045.916155 dualbound = 1920731.603180, lowerbound=1092325.603180, norm of subgrad 43.584134 stepsize= 1.000000
+dualbound = 1921028.748231, lowerbound=1089955.748231, norm of subgrad 1044.773539 dualbound = 1921028.748231, lowerbound=1089955.748231, norm of subgrad 43.510287 stepsize= 1.000000
+dualbound = 1921308.434150, lowerbound=1092547.434150, norm of subgrad 1045.983955 dualbound = 1921308.434150, lowerbound=1092547.434150, norm of subgrad 42.599130 stepsize= 1.000000
+dualbound = 1921644.320999, lowerbound=1091232.320999, norm of subgrad 1045.340290 dualbound = 1921644.320999, lowerbound=1091232.320999, norm of subgrad 42.893902 stepsize= 1.000000
+dualbound = 1921939.974103, lowerbound=1093272.974103, norm of subgrad 1046.315906 dualbound = 1921939.974103, lowerbound=1093272.974103, norm of subgrad 42.422318 stepsize= 1.000000
+dualbound = 1922236.988381, lowerbound=1092621.988381, norm of subgrad 1046.017681 dualbound = 1922236.988381, lowerbound=1092621.988381, norm of subgrad 42.755284 stepsize= 1.000000
+dualbound = 1922520.600636, lowerbound=1091297.600636, norm of subgrad 1045.382992 dualbound = 1922520.600636, lowerbound=1091297.600636, norm of subgrad 42.563039 stepsize= 1.000000
+dualbound = 1922834.188053, lowerbound=1093445.188053, norm of subgrad 1046.372395 dualbound = 1922834.188053, lowerbound=1093445.188053, norm of subgrad 41.995088 stepsize= 1.000000
+dualbound = 1923160.797689, lowerbound=1092514.797689, norm of subgrad 1045.948277 dualbound = 1923160.797689, lowerbound=1092514.797689, norm of subgrad 42.656883 stepsize= 1.000000
+dualbound = 1923399.716747, lowerbound=1091125.716747, norm of subgrad 1045.337131 dualbound = 1923399.716747, lowerbound=1091125.716747, norm of subgrad 42.929233 stepsize= 1.000000
+dualbound = 1923705.737288, lowerbound=1091895.737288, norm of subgrad 1045.677167 dualbound = 1923705.737288, lowerbound=1091895.737288, norm of subgrad 43.023488 stepsize= 1.000000
+dualbound = 1924034.792480, lowerbound=1094915.792480, norm of subgrad 1047.101615 dualbound = 1924034.792480, lowerbound=1094915.792480, norm of subgrad 42.837544 stepsize= 1.000000
+dualbound = 1924332.661376, lowerbound=1095127.661376, norm of subgrad 1047.220923 dualbound = 1924332.661376, lowerbound=1095127.661376, norm of subgrad 42.917000 stepsize= 1.000000
+dualbound = 1924586.884820, lowerbound=1091785.884820, norm of subgrad 1045.647113 dualbound = 1924586.884820, lowerbound=1091785.884820, norm of subgrad 42.967702 stepsize= 1.000000
+dualbound = 1924908.815110, lowerbound=1089093.815110, norm of subgrad 1044.323137 dualbound = 1924908.815110, lowerbound=1089093.815110, norm of subgrad 42.882750 stepsize= 1.000000
+dualbound = 1925199.062207, lowerbound=1093536.062207, norm of subgrad 1046.473154 dualbound = 1925199.062207, lowerbound=1093536.062207, norm of subgrad 43.130582 stepsize= 1.000000
+dualbound = 1925512.236188, lowerbound=1094233.236188, norm of subgrad 1046.802386 dualbound = 1925512.236188, lowerbound=1094233.236188, norm of subgrad 43.303279 stepsize= 1.000000
+dualbound = 1925792.987795, lowerbound=1093979.987795, norm of subgrad 1046.678550 dualbound = 1925792.987795, lowerbound=1093979.987795, norm of subgrad 42.857340 stepsize= 1.000000
+dualbound = 1926094.592173, lowerbound=1092224.592173, norm of subgrad 1045.846830 dualbound = 1926094.592173, lowerbound=1092224.592173, norm of subgrad 43.273599 stepsize= 1.000000
+dualbound = 1926382.206401, lowerbound=1090566.206401, norm of subgrad 1045.059427 dualbound = 1926382.206401, lowerbound=1090566.206401, norm of subgrad 43.250598 stepsize= 1.000000
+dualbound = 1926697.405820, lowerbound=1090615.405820, norm of subgrad 1045.092056 dualbound = 1926697.405820, lowerbound=1090615.405820, norm of subgrad 43.785836 stepsize= 1.000000
+dualbound = 1926974.493703, lowerbound=1093333.493703, norm of subgrad 1046.372541 dualbound = 1926974.493703, lowerbound=1093333.493703, norm of subgrad 42.884588 stepsize= 1.000000
+dualbound = 1927285.387616, lowerbound=1091781.387616, norm of subgrad 1045.609099 dualbound = 1927285.387616, lowerbound=1091781.387616, norm of subgrad 42.753876 stepsize= 1.000000
+dualbound = 1927613.216722, lowerbound=1094615.216722, norm of subgrad 1046.956645 dualbound = 1927613.216722, lowerbound=1094615.216722, norm of subgrad 42.788189 stepsize= 1.000000
+dualbound = 1927868.095888, lowerbound=1094145.095888, norm of subgrad 1046.768884 dualbound = 1927868.095888, lowerbound=1094145.095888, norm of subgrad 42.835490 stepsize= 1.000000
+dualbound = 1928198.473373, lowerbound=1093577.473373, norm of subgrad 1046.441338 dualbound = 1928198.473373, lowerbound=1093577.473373, norm of subgrad 42.336479 stepsize= 1.000000
+dualbound = 1928516.767954, lowerbound=1091894.767954, norm of subgrad 1045.646101 dualbound = 1928516.767954, lowerbound=1091894.767954, norm of subgrad 42.418093 stepsize= 1.000000
+dualbound = 1928806.091587, lowerbound=1090016.091587, norm of subgrad 1044.787582 dualbound = 1928806.091587, lowerbound=1090016.091587, norm of subgrad 43.061858 stepsize= 1.000000
+dualbound = 1929078.029226, lowerbound=1091949.029226, norm of subgrad 1045.700258 dualbound = 1929078.029226, lowerbound=1091949.029226, norm of subgrad 42.566861 stepsize= 1.000000
+dualbound = 1929386.270979, lowerbound=1094516.270979, norm of subgrad 1046.906524 dualbound = 1929386.270979, lowerbound=1094516.270979, norm of subgrad 42.488137 stepsize= 1.000000
+dualbound = 1929701.104749, lowerbound=1092733.104749, norm of subgrad 1046.067925 dualbound = 1929701.104749, lowerbound=1092733.104749, norm of subgrad 42.893284 stepsize= 1.000000
+dualbound = 1929990.952255, lowerbound=1093547.952255, norm of subgrad 1046.479313 dualbound = 1929990.952255, lowerbound=1093547.952255, norm of subgrad 43.137542 stepsize= 1.000000
+dualbound = 1930241.645871, lowerbound=1089865.645871, norm of subgrad 1044.730896 dualbound = 1930241.645871, lowerbound=1089865.645871, norm of subgrad 42.984807 stepsize= 1.000000
+dualbound = 1930553.330054, lowerbound=1093458.330054, norm of subgrad 1046.434580 dualbound = 1930553.330054, lowerbound=1093458.330054, norm of subgrad 43.343791 stepsize= 1.000000
+dualbound = 1930842.654907, lowerbound=1096313.654907, norm of subgrad 1047.797049 dualbound = 1930842.654907, lowerbound=1096313.654907, norm of subgrad 43.061872 stepsize= 1.000000
+dualbound = 1931158.290718, lowerbound=1094600.290718, norm of subgrad 1046.950472 dualbound = 1931158.290718, lowerbound=1094600.290718, norm of subgrad 42.668909 stepsize= 1.000000
+dualbound = 1931455.772761, lowerbound=1093996.772761, norm of subgrad 1046.666027 dualbound = 1931455.772761, lowerbound=1093996.772761, norm of subgrad 42.549760 stepsize= 1.000000
+dualbound = 1931760.363979, lowerbound=1091037.363979, norm of subgrad 1045.272866 dualbound = 1931760.363979, lowerbound=1091037.363979, norm of subgrad 43.157748 stepsize= 1.000000
+dualbound = 1932044.462079, lowerbound=1093270.462079, norm of subgrad 1046.327607 dualbound = 1932044.462079, lowerbound=1093270.462079, norm of subgrad 42.603968 stepsize= 1.000000
+dualbound = 1932369.418825, lowerbound=1093794.418825, norm of subgrad 1046.537825 dualbound = 1932369.418825, lowerbound=1093794.418825, norm of subgrad 42.094617 stepsize= 1.000000
+dualbound = 1932661.270471, lowerbound=1094365.270471, norm of subgrad 1046.868793 dualbound = 1932661.270471, lowerbound=1094365.270471, norm of subgrad 43.137590 stepsize= 1.000000
+dualbound = 1932924.623411, lowerbound=1092685.623411, norm of subgrad 1046.069607 dualbound = 1932924.623411, lowerbound=1092685.623411, norm of subgrad 42.887678 stepsize= 1.000000
+dualbound = 1933232.220361, lowerbound=1094000.220361, norm of subgrad 1046.700636 dualbound = 1933232.220361, lowerbound=1094000.220361, norm of subgrad 43.469494 stepsize= 1.000000
+dualbound = 1933517.909624, lowerbound=1093343.909624, norm of subgrad 1046.376562 dualbound = 1933517.909624, lowerbound=1093343.909624, norm of subgrad 42.961486 stepsize= 1.000000
+dualbound = 1933834.603808, lowerbound=1093990.603808, norm of subgrad 1046.665469 dualbound = 1933834.603808, lowerbound=1093990.603808, norm of subgrad 42.833330 stepsize= 1.000000
+dualbound = 1934132.392017, lowerbound=1092660.392017, norm of subgrad 1046.045597 dualbound = 1934132.392017, lowerbound=1092660.392017, norm of subgrad 42.997537 stepsize= 1.000000
+dualbound = 1934417.485309, lowerbound=1094431.485309, norm of subgrad 1046.912358 dualbound = 1934417.485309, lowerbound=1094431.485309, norm of subgrad 43.348510 stepsize= 1.000000
+dualbound = 1934698.164896, lowerbound=1092805.164896, norm of subgrad 1046.132958 dualbound = 1934698.164896, lowerbound=1092805.164896, norm of subgrad 43.239792 stepsize= 1.000000
+dualbound = 1935014.404588, lowerbound=1093365.404588, norm of subgrad 1046.386833 dualbound = 1935014.404588, lowerbound=1093365.404588, norm of subgrad 43.315583 stepsize= 1.000000
+dualbound = 1935302.913866, lowerbound=1093574.913866, norm of subgrad 1046.476906 dualbound = 1935302.913866, lowerbound=1093574.913866, norm of subgrad 42.749378 stepsize= 1.000000
+dualbound = 1935620.925619, lowerbound=1095307.925619, norm of subgrad 1047.328471 dualbound = 1935620.925619, lowerbound=1095307.925619, norm of subgrad 43.669346 stepsize= 1.000000
+dualbound = 1935879.914216, lowerbound=1093125.914216, norm of subgrad 1046.270001 dualbound = 1935879.914216, lowerbound=1093125.914216, norm of subgrad 42.590945 stepsize= 1.000000
+dualbound = 1936193.987688, lowerbound=1095113.987688, norm of subgrad 1047.215827 dualbound = 1936193.987688, lowerbound=1095113.987688, norm of subgrad 43.140161 stepsize= 1.000000
+dualbound = 1936496.143265, lowerbound=1092125.143265, norm of subgrad 1045.779204 dualbound = 1936496.143265, lowerbound=1092125.143265, norm of subgrad 42.792004 stepsize= 1.000000
+dualbound = 1936783.544898, lowerbound=1097226.544898, norm of subgrad 1048.222565 dualbound = 1936783.544898, lowerbound=1097226.544898, norm of subgrad 42.794879 stepsize= 1.000000
+dualbound = 1937076.153492, lowerbound=1092579.153492, norm of subgrad 1045.974738 dualbound = 1937076.153492, lowerbound=1092579.153492, norm of subgrad 42.149835 stepsize= 1.000000
+dualbound = 1937393.000538, lowerbound=1091276.000538, norm of subgrad 1045.395141 dualbound = 1937393.000538, lowerbound=1091276.000538, norm of subgrad 43.495368 stepsize= 1.000000
+dualbound = 1937641.392201, lowerbound=1096603.392201, norm of subgrad 1047.930528 dualbound = 1937641.392201, lowerbound=1096603.392201, norm of subgrad 42.466359 stepsize= 1.000000
+dualbound = 1937968.321828, lowerbound=1093758.321828, norm of subgrad 1046.554500 dualbound = 1937968.321828, lowerbound=1093758.321828, norm of subgrad 42.952644 stepsize= 1.000000
+dualbound = 1938268.457139, lowerbound=1092877.457139, norm of subgrad 1046.115891 dualbound = 1938268.457139, lowerbound=1092877.457139, norm of subgrad 42.203499 stepsize= 1.000000
+dualbound = 1938573.335916, lowerbound=1094098.335916, norm of subgrad 1046.709289 dualbound = 1938573.335916, lowerbound=1094098.335916, norm of subgrad 42.507397 stepsize= 1.000000
+dualbound = 1938848.438593, lowerbound=1094611.438593, norm of subgrad 1046.969168 dualbound = 1938848.438593, lowerbound=1094611.438593, norm of subgrad 42.521791 stepsize= 1.000000
+dualbound = 1939124.002279, lowerbound=1096031.002279, norm of subgrad 1047.695090 dualbound = 1939124.002279, lowerbound=1096031.002279, norm of subgrad 43.698555 stepsize= 1.000000
+dualbound = 1939407.455897, lowerbound=1094257.455897, norm of subgrad 1046.832105 dualbound = 1939407.455897, lowerbound=1094257.455897, norm of subgrad 43.398774 stepsize= 1.000000
+dualbound = 1939719.505515, lowerbound=1090270.505515, norm of subgrad 1044.889710 dualbound = 1939719.505515, lowerbound=1090270.505515, norm of subgrad 42.849150 stepsize= 1.000000
+dualbound = 1940039.495639, lowerbound=1095894.495639, norm of subgrad 1047.564077 dualbound = 1940039.495639, lowerbound=1095894.495639, norm of subgrad 42.614436 stepsize= 1.000000
+dualbound = 1940322.681036, lowerbound=1094341.681036, norm of subgrad 1046.856571 dualbound = 1940322.681036, lowerbound=1094341.681036, norm of subgrad 43.013781 stepsize= 1.000000
+dualbound = 1940614.433055, lowerbound=1095465.433055, norm of subgrad 1047.366905 dualbound = 1940614.433055, lowerbound=1095465.433055, norm of subgrad 42.470602 stepsize= 1.000000
+dualbound = 1940903.406837, lowerbound=1089044.406837, norm of subgrad 1044.291821 dualbound = 1940903.406837, lowerbound=1089044.406837, norm of subgrad 42.308082 stepsize= 1.000000
+dualbound = 1941195.218131, lowerbound=1094732.218131, norm of subgrad 1047.022071 dualbound = 1941195.218131, lowerbound=1094732.218131, norm of subgrad 42.600602 stepsize= 1.000000
+dualbound = 1941496.803705, lowerbound=1096624.803705, norm of subgrad 1047.932156 dualbound = 1941496.803705, lowerbound=1096624.803705, norm of subgrad 42.878731 stepsize= 1.000000
+dualbound = 1941783.708827, lowerbound=1096423.708827, norm of subgrad 1047.821411 dualbound = 1941783.708827, lowerbound=1096423.708827, norm of subgrad 42.342710 stepsize= 1.000000
+dualbound = 1942084.060122, lowerbound=1090108.060122, norm of subgrad 1044.830159 dualbound = 1942084.060122, lowerbound=1090108.060122, norm of subgrad 43.154968 stepsize= 1.000000
+dualbound = 1942368.586741, lowerbound=1096432.586741, norm of subgrad 1047.823738 dualbound = 1942368.586741, lowerbound=1096432.586741, norm of subgrad 42.267323 stepsize= 1.000000
+dualbound = 1942687.163614, lowerbound=1094386.163614, norm of subgrad 1046.848682 dualbound = 1942687.163614, lowerbound=1094386.163614, norm of subgrad 42.715066 stepsize= 1.000000
+dualbound = 1942968.233724, lowerbound=1096248.233724, norm of subgrad 1047.751513 dualbound = 1942968.233724, lowerbound=1096248.233724, norm of subgrad 42.615374 stepsize= 1.000000
+dualbound = 1943243.598701, lowerbound=1094123.598701, norm of subgrad 1046.757182 dualbound = 1943243.598701, lowerbound=1094123.598701, norm of subgrad 43.039110 stepsize= 1.000000
+dualbound = 1943553.821918, lowerbound=1092699.821918, norm of subgrad 1046.044369 dualbound = 1943553.821918, lowerbound=1092699.821918, norm of subgrad 42.652353 stepsize= 1.000000
+dualbound = 1943852.057299, lowerbound=1096912.057299, norm of subgrad 1048.056324 dualbound = 1943852.057299, lowerbound=1096912.057299, norm of subgrad 42.523351 stepsize= 1.000000
+dualbound = 1944145.566999, lowerbound=1094917.566999, norm of subgrad 1047.120608 dualbound = 1944145.566999, lowerbound=1094917.566999, norm of subgrad 42.866184 stepsize= 1.000000
+dualbound = 1944432.923614, lowerbound=1092634.923614, norm of subgrad 1046.025776 dualbound = 1944432.923614, lowerbound=1092634.923614, norm of subgrad 42.689069 stepsize= 1.000000
+dualbound = 1944712.003859, lowerbound=1093376.003859, norm of subgrad 1046.400977 dualbound = 1944712.003859, lowerbound=1093376.003859, norm of subgrad 43.105455 stepsize= 1.000000
+dualbound = 1945020.325602, lowerbound=1095458.325602, norm of subgrad 1047.380698 dualbound = 1945020.325602, lowerbound=1095458.325602, norm of subgrad 43.085052 stepsize= 1.000000
+dualbound = 1945301.370488, lowerbound=1101168.370488, norm of subgrad 1050.122074 dualbound = 1945301.370488, lowerbound=1101168.370488, norm of subgrad 43.232452 stepsize= 1.000000
+dualbound = 1945588.192442, lowerbound=1092379.192442, norm of subgrad 1045.905919 dualbound = 1945588.192442, lowerbound=1092379.192442, norm of subgrad 42.741338 stepsize= 1.000000
+dualbound = 1945881.854760, lowerbound=1092459.854760, norm of subgrad 1045.954518 dualbound = 1945881.854760, lowerbound=1092459.854760, norm of subgrad 43.065791 stepsize= 1.000000
+dualbound = 1946185.180521, lowerbound=1091083.180521, norm of subgrad 1045.278040 dualbound = 1946185.180521, lowerbound=1091083.180521, norm of subgrad 42.735533 stepsize= 1.000000
+dualbound = 1946509.087285, lowerbound=1094850.087285, norm of subgrad 1047.042543 dualbound = 1946509.087285, lowerbound=1094850.087285, norm of subgrad 42.094023 stepsize= 1.000000
+dualbound = 1946789.735848, lowerbound=1097626.735848, norm of subgrad 1048.414868 dualbound = 1946789.735848, lowerbound=1097626.735848, norm of subgrad 42.751007 stepsize= 1.000000
+dualbound = 1947058.949334, lowerbound=1094593.949334, norm of subgrad 1046.978963 dualbound = 1947058.949334, lowerbound=1094593.949334, norm of subgrad 42.897710 stepsize= 1.000000
+dualbound = 1947345.427688, lowerbound=1095242.427688, norm of subgrad 1047.306272 dualbound = 1947345.427688, lowerbound=1095242.427688, norm of subgrad 43.525606 stepsize= 1.000000
+dualbound = 1947654.292705, lowerbound=1097355.292705, norm of subgrad 1048.298761 dualbound = 1947654.292705, lowerbound=1097355.292705, norm of subgrad 43.403514 stepsize= 1.000000
+dualbound = 1947934.212923, lowerbound=1094219.212923, norm of subgrad 1046.807152 dualbound = 1947934.212923, lowerbound=1094219.212923, norm of subgrad 43.196299 stepsize= 1.000000
+dualbound = 1948230.265760, lowerbound=1094216.265760, norm of subgrad 1046.793803 dualbound = 1948230.265760, lowerbound=1094216.265760, norm of subgrad 43.093536 stepsize= 1.000000
+dualbound = 1948521.812882, lowerbound=1094548.812882, norm of subgrad 1046.914425 dualbound = 1948521.812882, lowerbound=1094548.812882, norm of subgrad 42.101628 stepsize= 1.000000
+dualbound = 1948840.169807, lowerbound=1097781.169807, norm of subgrad 1048.463719 dualbound = 1948840.169807, lowerbound=1097781.169807, norm of subgrad 42.583529 stepsize= 1.000000
+dualbound = 1949110.183555, lowerbound=1093835.183555, norm of subgrad 1046.608419 dualbound = 1949110.183555, lowerbound=1093835.183555, norm of subgrad 42.708474 stepsize= 1.000000
+dualbound = 1949391.246860, lowerbound=1094868.246860, norm of subgrad 1047.100400 dualbound = 1949391.246860, lowerbound=1094868.246860, norm of subgrad 42.802609 stepsize= 1.000000
+dualbound = 1949712.164642, lowerbound=1091625.164642, norm of subgrad 1045.524827 dualbound = 1949712.164642, lowerbound=1091625.164642, norm of subgrad 42.637047 stepsize= 1.000000
+dualbound = 1950013.305057, lowerbound=1094958.305057, norm of subgrad 1047.102337 dualbound = 1950013.305057, lowerbound=1094958.305057, norm of subgrad 42.025473 stepsize= 1.000000
+dualbound = 1950299.775075, lowerbound=1096676.775075, norm of subgrad 1047.932142 dualbound = 1950299.775075, lowerbound=1096676.775075, norm of subgrad 42.088835 stepsize= 1.000000
+dualbound = 1950593.418979, lowerbound=1098071.418979, norm of subgrad 1048.613093 dualbound = 1950593.418979, lowerbound=1098071.418979, norm of subgrad 42.563410 stepsize= 1.000000
+dualbound = 1950878.991711, lowerbound=1096858.991711, norm of subgrad 1048.056769 dualbound = 1950878.991711, lowerbound=1096858.991711, norm of subgrad 43.006659 stepsize= 1.000000
+dualbound = 1951166.420941, lowerbound=1092850.420941, norm of subgrad 1046.118741 dualbound = 1951166.420941, lowerbound=1092850.420941, norm of subgrad 42.443247 stepsize= 1.000000
+dualbound = 1951451.079314, lowerbound=1093439.079314, norm of subgrad 1046.428726 dualbound = 1951451.079314, lowerbound=1093439.079314, norm of subgrad 43.112160 stepsize= 1.000000
+dualbound = 1951727.488730, lowerbound=1097628.488730, norm of subgrad 1048.454810 dualbound = 1951727.488730, lowerbound=1097628.488730, norm of subgrad 43.650996 stepsize= 1.000000
+dualbound = 1952029.596439, lowerbound=1096277.596439, norm of subgrad 1047.766480 dualbound = 1952029.596439, lowerbound=1096277.596439, norm of subgrad 42.884819 stepsize= 1.000000
+dualbound = 1952347.355934, lowerbound=1094269.355934, norm of subgrad 1046.789069 dualbound = 1952347.355934, lowerbound=1094269.355934, norm of subgrad 42.611730 stepsize= 1.000000
+dualbound = 1952629.730343, lowerbound=1096612.730343, norm of subgrad 1047.953115 dualbound = 1952629.730343, lowerbound=1096612.730343, norm of subgrad 43.305593 stepsize= 1.000000
+dualbound = 1952882.053969, lowerbound=1095409.053969, norm of subgrad 1047.361472 dualbound = 1952882.053969, lowerbound=1095409.053969, norm of subgrad 42.536145 stepsize= 1.000000
+dualbound = 1953194.757715, lowerbound=1096317.757715, norm of subgrad 1047.781827 dualbound = 1953194.757715, lowerbound=1096317.757715, norm of subgrad 42.915076 stepsize= 1.000000
+dualbound = 1953493.737869, lowerbound=1095117.737869, norm of subgrad 1047.207113 dualbound = 1953493.737869, lowerbound=1095117.737869, norm of subgrad 42.708081 stepsize= 1.000000
+dualbound = 1953801.114861, lowerbound=1094589.114861, norm of subgrad 1046.955641 dualbound = 1953801.114861, lowerbound=1094589.114861, norm of subgrad 42.829627 stepsize= 1.000000
+dualbound = 1954076.444635, lowerbound=1098949.444635, norm of subgrad 1049.065034 dualbound = 1954076.444635, lowerbound=1098949.444635, norm of subgrad 43.166304 stepsize= 1.000000
+dualbound = 1954357.153138, lowerbound=1090510.153138, norm of subgrad 1045.001030 dualbound = 1954357.153138, lowerbound=1090510.153138, norm of subgrad 42.399393 stepsize= 1.000000
+dualbound = 1954670.500813, lowerbound=1095412.500813, norm of subgrad 1047.356912 dualbound = 1954670.500813, lowerbound=1095412.500813, norm of subgrad 43.096957 stepsize= 1.000000
+dualbound = 1954953.260447, lowerbound=1097203.260447, norm of subgrad 1048.213366 dualbound = 1954953.260447, lowerbound=1097203.260447, norm of subgrad 42.787377 stepsize= 1.000000
+dualbound = 1955243.501101, lowerbound=1094552.501101, norm of subgrad 1046.931469 dualbound = 1955243.501101, lowerbound=1094552.501101, norm of subgrad 42.464581 stepsize= 1.000000
+dualbound = 1955542.006880, lowerbound=1092554.006880, norm of subgrad 1045.987097 dualbound = 1955542.006880, lowerbound=1092554.006880, norm of subgrad 42.819456 stepsize= 1.000000
+dualbound = 1955849.938317, lowerbound=1095805.938317, norm of subgrad 1047.542332 dualbound = 1955849.938317, lowerbound=1095805.938317, norm of subgrad 42.975940 stepsize= 1.000000
+dualbound = 1956102.732653, lowerbound=1097724.732653, norm of subgrad 1048.480678 dualbound = 1956102.732653, lowerbound=1097724.732653, norm of subgrad 42.892824 stepsize= 1.000000
+dualbound = 1956399.384793, lowerbound=1096597.384793, norm of subgrad 1047.950564 dualbound = 1956399.384793, lowerbound=1096597.384793, norm of subgrad 43.584999 stepsize= 1.000000
+dualbound = 1956676.710943, lowerbound=1095472.710943, norm of subgrad 1047.382314 dualbound = 1956676.710943, lowerbound=1095472.710943, norm of subgrad 42.594908 stepsize= 1.000000
+dualbound = 1957005.547516, lowerbound=1094828.547516, norm of subgrad 1047.096723 dualbound = 1957005.547516, lowerbound=1094828.547516, norm of subgrad 43.724553 stepsize= 1.000000
+dualbound = 1957269.154608, lowerbound=1093921.154608, norm of subgrad 1046.644235 dualbound = 1957269.154608, lowerbound=1093921.154608, norm of subgrad 42.504201 stepsize= 1.000000
+dualbound = 1957565.352947, lowerbound=1098642.352947, norm of subgrad 1048.926286 dualbound = 1957565.352947, lowerbound=1098642.352947, norm of subgrad 43.591264 stepsize= 1.000000
+dualbound = 1957876.144509, lowerbound=1096798.144509, norm of subgrad 1048.007225 dualbound = 1957876.144509, lowerbound=1096798.144509, norm of subgrad 42.799434 stepsize= 1.000000
+dualbound = 1958171.554641, lowerbound=1098223.554641, norm of subgrad 1048.731879 dualbound = 1958171.554641, lowerbound=1098223.554641, norm of subgrad 43.708239 stepsize= 1.000000
+dualbound = 1958416.873067, lowerbound=1092176.873067, norm of subgrad 1045.832144 dualbound = 1958416.873067, lowerbound=1092176.873067, norm of subgrad 42.817268 stepsize= 1.000000
+dualbound = 1958743.309837, lowerbound=1094964.309837, norm of subgrad 1047.117142 dualbound = 1958743.309837, lowerbound=1094964.309837, norm of subgrad 42.619676 stepsize= 1.000000
+dualbound = 1959039.328027, lowerbound=1098582.328027, norm of subgrad 1048.874791 dualbound = 1959039.328027, lowerbound=1098582.328027, norm of subgrad 43.035081 stepsize= 1.000000
+dualbound = 1959349.472314, lowerbound=1094298.472314, norm of subgrad 1046.800111 dualbound = 1959349.472314, lowerbound=1094298.472314, norm of subgrad 42.451670 stepsize= 1.000000
+dualbound = 1959636.836789, lowerbound=1096409.836789, norm of subgrad 1047.863463 dualbound = 1959636.836789, lowerbound=1096409.836789, norm of subgrad 43.535784 stepsize= 1.000000
+dualbound = 1959901.280891, lowerbound=1099155.280891, norm of subgrad 1049.166946 dualbound = 1959901.280891, lowerbound=1099155.280891, norm of subgrad 43.132866 stepsize= 1.000000
+dualbound = 1960187.849691, lowerbound=1096120.849691, norm of subgrad 1047.714107 dualbound = 1960187.849691, lowerbound=1096120.849691, norm of subgrad 43.250073 stepsize= 1.000000
+dualbound = 1960469.943347, lowerbound=1094664.943347, norm of subgrad 1047.007614 dualbound = 1960469.943347, lowerbound=1094664.943347, norm of subgrad 42.919619 stepsize= 1.000000
+dualbound = 1960779.213140, lowerbound=1097153.213140, norm of subgrad 1048.182338 dualbound = 1960779.213140, lowerbound=1097153.213140, norm of subgrad 42.921670 stepsize= 1.000000
+dualbound = 1961109.485576, lowerbound=1096733.485576, norm of subgrad 1047.973991 dualbound = 1961109.485576, lowerbound=1096733.485576, norm of subgrad 42.968272 stepsize= 1.000000
+dualbound = 1961369.110886, lowerbound=1096502.110886, norm of subgrad 1047.863116 dualbound = 1961369.110886, lowerbound=1096502.110886, norm of subgrad 42.126302 stepsize= 1.000000
+dualbound = 1961707.692975, lowerbound=1096385.692975, norm of subgrad 1047.793249 dualbound = 1961707.692975, lowerbound=1096385.692975, norm of subgrad 42.703420 stepsize= 1.000000
+dualbound = 1961939.119032, lowerbound=1092957.119032, norm of subgrad 1046.184075 dualbound = 1961939.119032, lowerbound=1092957.119032, norm of subgrad 42.135805 stepsize= 1.000000
+dualbound = 1962239.985578, lowerbound=1098146.985578, norm of subgrad 1048.660091 dualbound = 1962239.985578, lowerbound=1098146.985578, norm of subgrad 42.916973 stepsize= 1.000000
+dualbound = 1962529.466023, lowerbound=1097237.466023, norm of subgrad 1048.197246 dualbound = 1962529.466023, lowerbound=1097237.466023, norm of subgrad 42.065193 stepsize= 1.000000
+dualbound = 1962849.921931, lowerbound=1097359.921931, norm of subgrad 1048.281890 dualbound = 1962849.921931, lowerbound=1097359.921931, norm of subgrad 43.075003 stepsize= 1.000000
+dualbound = 1963093.624606, lowerbound=1099911.624605, norm of subgrad 1049.528763 dualbound = 1963093.624606, lowerbound=1099911.624605, norm of subgrad 42.926713 stepsize= 1.000000
+dualbound = 1963369.276604, lowerbound=1099953.276604, norm of subgrad 1049.586241 dualbound = 1963369.276604, lowerbound=1099953.276604, norm of subgrad 44.200136 stepsize= 1.000000
+dualbound = 1963643.769698, lowerbound=1097895.769698, norm of subgrad 1048.557948 dualbound = 1963643.769698, lowerbound=1097895.769698, norm of subgrad 43.040598 stepsize= 1.000000
+dualbound = 1963977.478670, lowerbound=1096942.478670, norm of subgrad 1048.071791 dualbound = 1963977.478670, lowerbound=1096942.478670, norm of subgrad 42.961715 stepsize= 1.000000
+dualbound = 1964283.554883, lowerbound=1097429.554883, norm of subgrad 1048.290778 dualbound = 1964283.554883, lowerbound=1097429.554883, norm of subgrad 42.309292 stepsize= 1.000000
+dualbound = 1964578.926694, lowerbound=1098285.926694, norm of subgrad 1048.681518 dualbound = 1964578.926694, lowerbound=1098285.926694, norm of subgrad 41.741727 stepsize= 1.000000
+dualbound = 1964870.336075, lowerbound=1097061.336075, norm of subgrad 1048.146143 dualbound = 1964870.336075, lowerbound=1097061.336075, norm of subgrad 42.899993 stepsize= 1.000000
+dualbound = 1965116.723303, lowerbound=1102196.723303, norm of subgrad 1050.592082 dualbound = 1965116.723303, lowerbound=1102196.723303, norm of subgrad 42.348403 stepsize= 1.000000
+dualbound = 1965416.287712, lowerbound=1098310.287712, norm of subgrad 1048.732706 dualbound = 1965416.287712, lowerbound=1098310.287712, norm of subgrad 42.773408 stepsize= 1.000000
+dualbound = 1965700.902626, lowerbound=1096618.902626, norm of subgrad 1047.930772 dualbound = 1965700.902626, lowerbound=1096618.902626, norm of subgrad 42.715511 stepsize= 1.000000
+dualbound = 1966007.112481, lowerbound=1099980.112481, norm of subgrad 1049.518991 dualbound = 1966007.112481, lowerbound=1099980.112481, norm of subgrad 42.617014 stepsize= 1.000000
+dualbound = 1966281.522035, lowerbound=1097750.522035, norm of subgrad 1048.453395 dualbound = 1966281.522035, lowerbound=1097750.522035, norm of subgrad 42.171193 stepsize= 1.000000
+dualbound = 1966558.467906, lowerbound=1095551.467906, norm of subgrad 1047.433753 dualbound = 1966558.467906, lowerbound=1095551.467906, norm of subgrad 42.929545 stepsize= 1.000000
+dualbound = 1966853.462898, lowerbound=1102213.462898, norm of subgrad 1050.607664 dualbound = 1966853.462898, lowerbound=1102213.462898, norm of subgrad 43.104466 stepsize= 1.000000
+dualbound = 1967133.884692, lowerbound=1097390.884692, norm of subgrad 1048.313829 dualbound = 1967133.884692, lowerbound=1097390.884692, norm of subgrad 43.028151 stepsize= 1.000000
+dualbound = 1967421.933581, lowerbound=1101081.933581, norm of subgrad 1050.034254 dualbound = 1967421.933581, lowerbound=1101081.933581, norm of subgrad 42.166917 stepsize= 1.000000
+dualbound = 1967735.778777, lowerbound=1096738.778777, norm of subgrad 1047.966020 dualbound = 1967735.778777, lowerbound=1096738.778777, norm of subgrad 42.518763 stepsize= 1.000000
+dualbound = 1967993.992729, lowerbound=1100581.992729, norm of subgrad 1049.825220 dualbound = 1967993.992729, lowerbound=1100581.992729, norm of subgrad 42.534856 stepsize= 1.000000
+dualbound = 1968267.287978, lowerbound=1099310.287978, norm of subgrad 1049.241292 dualbound = 1968267.287978, lowerbound=1099310.287978, norm of subgrad 43.246910 stepsize= 1.000000
+dualbound = 1968544.784017, lowerbound=1102316.784017, norm of subgrad 1050.653979 dualbound = 1968544.784017, lowerbound=1102316.784017, norm of subgrad 42.831017 stepsize= 1.000000
+dualbound = 1968860.143859, lowerbound=1099613.143859, norm of subgrad 1049.339384 dualbound = 1968860.143859, lowerbound=1099613.143859, norm of subgrad 42.607040 stepsize= 1.000000
+dualbound = 1969137.909424, lowerbound=1096390.909424, norm of subgrad 1047.802419 dualbound = 1969137.909424, lowerbound=1096390.909424, norm of subgrad 42.151697 stepsize= 1.000000
+dualbound = 1969428.858288, lowerbound=1099159.858288, norm of subgrad 1049.146729 dualbound = 1969428.858288, lowerbound=1099159.858288, norm of subgrad 42.894625 stepsize= 1.000000
+dualbound = 1969688.148407, lowerbound=1101836.148407, norm of subgrad 1050.462350 dualbound = 1969688.148407, lowerbound=1101836.148407, norm of subgrad 43.523443 stepsize= 1.000000
+dualbound = 1969982.180189, lowerbound=1096126.180189, norm of subgrad 1047.689448 dualbound = 1969982.180189, lowerbound=1096126.180189, norm of subgrad 42.673549 stepsize= 1.000000
+dualbound = 1970265.195873, lowerbound=1099845.195873, norm of subgrad 1049.476153 dualbound = 1970265.195873, lowerbound=1099845.195873, norm of subgrad 42.872085 stepsize= 1.000000
+dualbound = 1970573.201849, lowerbound=1097955.201849, norm of subgrad 1048.585810 dualbound = 1970573.201849, lowerbound=1097955.201849, norm of subgrad 43.416656 stepsize= 1.000000
+dualbound = 1970841.852870, lowerbound=1099455.852870, norm of subgrad 1049.287784 dualbound = 1970841.852870, lowerbound=1099455.852870, norm of subgrad 42.633919 stepsize= 1.000000
+dualbound = 1971146.906809, lowerbound=1102416.906809, norm of subgrad 1050.685446 dualbound = 1971146.906809, lowerbound=1102416.906809, norm of subgrad 42.755747 stepsize= 1.000000
+dualbound = 1971429.280996, lowerbound=1096183.280996, norm of subgrad 1047.726243 dualbound = 1971429.280996, lowerbound=1096183.280996, norm of subgrad 42.771184 stepsize= 1.000000
+dualbound = 1971700.708080, lowerbound=1101021.708080, norm of subgrad 1050.035098 dualbound = 1971700.708080, lowerbound=1101021.708080, norm of subgrad 42.701605 stepsize= 1.000000
+dualbound = 1971994.824747, lowerbound=1096743.824747, norm of subgrad 1047.965565 dualbound = 1971994.824747, lowerbound=1096743.824747, norm of subgrad 42.215124 stepsize= 1.000000
+dualbound = 1972297.695027, lowerbound=1099993.695027, norm of subgrad 1049.547376 dualbound = 1972297.695027, lowerbound=1099993.695027, norm of subgrad 43.114618 stepsize= 1.000000
+dualbound = 1972546.704036, lowerbound=1103374.704036, norm of subgrad 1051.159219 dualbound = 1972546.704036, lowerbound=1103374.704036, norm of subgrad 42.544201 stepsize= 1.000000
+dualbound = 1972851.209095, lowerbound=1097600.209095, norm of subgrad 1048.416525 dualbound = 1972851.209095, lowerbound=1097600.209095, norm of subgrad 43.376319 stepsize= 1.000000
+dualbound = 1973124.429903, lowerbound=1100911.429903, norm of subgrad 1050.008776 dualbound = 1973124.429903, lowerbound=1100911.429903, norm of subgrad 43.361513 stepsize= 1.000000
+dualbound = 1973414.691492, lowerbound=1099913.691492, norm of subgrad 1049.526889 dualbound = 1973414.691492, lowerbound=1099913.691492, norm of subgrad 43.396562 stepsize= 1.000000
+dualbound = 1973712.034454, lowerbound=1098710.034454, norm of subgrad 1048.944724 dualbound = 1973712.034454, lowerbound=1098710.034454, norm of subgrad 43.270578 stepsize= 1.000000
+dualbound = 1973994.971345, lowerbound=1101879.971345, norm of subgrad 1050.469405 dualbound = 1973994.971345, lowerbound=1101879.971345, norm of subgrad 43.461902 stepsize= 1.000000
+dualbound = 1974280.102931, lowerbound=1098316.102931, norm of subgrad 1048.744537 dualbound = 1974280.102931, lowerbound=1098316.102931, norm of subgrad 42.826762 stepsize= 1.000000
+dualbound = 1974576.311473, lowerbound=1102251.311473, norm of subgrad 1050.605212 dualbound = 1974576.311473, lowerbound=1102251.311473, norm of subgrad 42.616998 stepsize= 1.000000
+dualbound = 1974885.785116, lowerbound=1095811.785116, norm of subgrad 1047.500733 dualbound = 1974885.785116, lowerbound=1095811.785116, norm of subgrad 41.898373 stepsize= 1.000000
+dualbound = 1975174.278439, lowerbound=1098629.278439, norm of subgrad 1048.873814 dualbound = 1975174.278439, lowerbound=1098629.278439, norm of subgrad 42.373262 stepsize= 1.000000
+dualbound = 1975433.515674, lowerbound=1102145.515674, norm of subgrad 1050.548674 dualbound = 1975433.515674, lowerbound=1102145.515674, norm of subgrad 42.026625 stepsize= 1.000000
+dualbound = 1975737.930101, lowerbound=1101416.930101, norm of subgrad 1050.208517 dualbound = 1975737.930101, lowerbound=1101416.930101, norm of subgrad 42.724869 stepsize= 1.000000
+dualbound = 1976000.762058, lowerbound=1100382.762058, norm of subgrad 1049.732234 dualbound = 1976000.762058, lowerbound=1100382.762058, norm of subgrad 42.636041 stepsize= 1.000000
+dualbound = 1976261.504186, lowerbound=1098855.504186, norm of subgrad 1049.026455 dualbound = 1976261.504186, lowerbound=1098855.504186, norm of subgrad 43.147910 stepsize= 1.000000
+dualbound = 1976574.109034, lowerbound=1096101.109034, norm of subgrad 1047.659825 dualbound = 1976574.109034, lowerbound=1096101.109034, norm of subgrad 42.457094 stepsize= 1.000000
+dualbound = 1976866.389194, lowerbound=1102913.389194, norm of subgrad 1050.953086 dualbound = 1976866.389194, lowerbound=1102913.389194, norm of subgrad 43.373727 stepsize= 1.000000
+dualbound = 1977130.694484, lowerbound=1098423.694484, norm of subgrad 1048.780575 dualbound = 1977130.694484, lowerbound=1098423.694484, norm of subgrad 42.205513 stepsize= 1.000000
+dualbound = 1977459.495904, lowerbound=1099727.495904, norm of subgrad 1049.402447 dualbound = 1977459.495904, lowerbound=1099727.495904, norm of subgrad 42.974428 stepsize= 1.000000
+dualbound = 1977693.162234, lowerbound=1100679.162234, norm of subgrad 1049.876737 dualbound = 1977693.162234, lowerbound=1100679.162234, norm of subgrad 42.375303 stepsize= 1.000000
+dualbound = 1977981.706584, lowerbound=1104880.706584, norm of subgrad 1051.905750 dualbound = 1977981.706584, lowerbound=1104880.706584, norm of subgrad 43.744078 stepsize= 1.000000
+dualbound = 1978281.073878, lowerbound=1097011.073878, norm of subgrad 1048.103561 dualbound = 1978281.073878, lowerbound=1097011.073878, norm of subgrad 42.536658 stepsize= 1.000000
+dualbound = 1978571.614861, lowerbound=1099967.614861, norm of subgrad 1049.554484 dualbound = 1978571.614861, lowerbound=1099967.614861, norm of subgrad 43.445840 stepsize= 1.000000
+dualbound = 1978834.045863, lowerbound=1098858.045863, norm of subgrad 1049.018611 dualbound = 1978834.045863, lowerbound=1098858.045863, norm of subgrad 42.946839 stepsize= 1.000000
+dualbound = 1979139.199370, lowerbound=1102048.199370, norm of subgrad 1050.510447 dualbound = 1979139.199370, lowerbound=1102048.199370, norm of subgrad 42.768604 stepsize= 1.000000
+dualbound = 1979437.434781, lowerbound=1098067.434781, norm of subgrad 1048.640279 dualbound = 1979437.434781, lowerbound=1098067.434781, norm of subgrad 43.327075 stepsize= 1.000000
+dualbound = 1979721.830592, lowerbound=1101143.830592, norm of subgrad 1050.069917 dualbound = 1979721.830592, lowerbound=1101143.830592, norm of subgrad 42.277604 stepsize= 1.000000
+dualbound = 1979980.688066, lowerbound=1099397.688066, norm of subgrad 1049.257684 dualbound = 1979980.688066, lowerbound=1099397.688066, norm of subgrad 42.460069 stepsize= 1.000000
+dualbound = 1980282.392131, lowerbound=1102497.392131, norm of subgrad 1050.758484 dualbound = 1980282.392131, lowerbound=1102497.392131, norm of subgrad 43.562645 stepsize= 1.000000
+dualbound = 1980561.623019, lowerbound=1096904.623019, norm of subgrad 1048.099052 dualbound = 1980561.623019, lowerbound=1096904.623019, norm of subgrad 43.430760 stepsize= 1.000000
+dualbound = 1980826.177144, lowerbound=1099299.177144, norm of subgrad 1049.218365 dualbound = 1980826.177144, lowerbound=1099299.177144, norm of subgrad 42.714800 stepsize= 1.000000
+dualbound = 1981145.016163, lowerbound=1100197.016163, norm of subgrad 1049.616604 dualbound = 1981145.016163, lowerbound=1100197.016163, norm of subgrad 42.624395 stepsize= 1.000000
+dualbound = 1981428.794170, lowerbound=1098332.794170, norm of subgrad 1048.735331 dualbound = 1981428.794170, lowerbound=1098332.794170, norm of subgrad 42.388418 stepsize= 1.000000
+dualbound = 1981715.866649, lowerbound=1103103.866649, norm of subgrad 1051.014684 dualbound = 1981715.866649, lowerbound=1103103.866649, norm of subgrad 42.603667 stepsize= 1.000000
+dualbound = 1981988.389312, lowerbound=1098552.389312, norm of subgrad 1048.865287 dualbound = 1981988.389312, lowerbound=1098552.389312, norm of subgrad 42.877997 stepsize= 1.000000
+dualbound = 1982290.362876, lowerbound=1100785.362876, norm of subgrad 1049.921122 dualbound = 1982290.362876, lowerbound=1100785.362876, norm of subgrad 43.022942 stepsize= 1.000000
+dualbound = 1982562.786227, lowerbound=1098527.786227, norm of subgrad 1048.833059 dualbound = 1982562.786227, lowerbound=1098527.786227, norm of subgrad 42.372436 stepsize= 1.000000
+dualbound = 1982842.443154, lowerbound=1101467.443154, norm of subgrad 1050.254942 dualbound = 1982842.443154, lowerbound=1101467.443154, norm of subgrad 42.984380 stepsize= 1.000000
+dualbound = 1983125.128824, lowerbound=1100524.128824, norm of subgrad 1049.801471 dualbound = 1983125.128824, lowerbound=1100524.128824, norm of subgrad 42.914865 stepsize= 1.000000
+dualbound = 1983409.233265, lowerbound=1102594.233265, norm of subgrad 1050.776966 dualbound = 1983409.233265, lowerbound=1102594.233265, norm of subgrad 42.686115 stepsize= 1.000000
+dualbound = 1983679.559874, lowerbound=1099372.559874, norm of subgrad 1049.269536 dualbound = 1983679.559874, lowerbound=1099372.559874, norm of subgrad 43.177849 stepsize= 1.000000
+dualbound = 1983957.712504, lowerbound=1101109.712504, norm of subgrad 1050.071289 dualbound = 1983957.712504, lowerbound=1101109.712504, norm of subgrad 42.639801 stepsize= 1.000000
+dualbound = 1984247.024113, lowerbound=1101092.024113, norm of subgrad 1050.100483 dualbound = 1984247.024113, lowerbound=1101092.024113, norm of subgrad 43.684226 stepsize= 1.000000
+dualbound = 1984513.541613, lowerbound=1101886.541613, norm of subgrad 1050.469677 dualbound = 1984513.541613, lowerbound=1101886.541613, norm of subgrad 43.203212 stepsize= 1.000000
+dualbound = 1984809.658808, lowerbound=1101208.658808, norm of subgrad 1050.098880 dualbound = 1984809.658808, lowerbound=1101208.658808, norm of subgrad 42.368823 stepsize= 1.000000
+dualbound = 1985113.447011, lowerbound=1100096.447011, norm of subgrad 1049.565837 dualbound = 1985113.447011, lowerbound=1100096.447011, norm of subgrad 42.376741 stepsize= 1.000000
+dualbound = 1985381.234025, lowerbound=1101837.234025, norm of subgrad 1050.407175 dualbound = 1985381.234025, lowerbound=1101837.234025, norm of subgrad 42.258573 stepsize= 1.000000
+dualbound = 1985681.135476, lowerbound=1098564.135476, norm of subgrad 1048.860398 dualbound = 1985681.135476, lowerbound=1098564.135476, norm of subgrad 42.940674 stepsize= 1.000000
+dualbound = 1985944.171540, lowerbound=1103501.171540, norm of subgrad 1051.204153 dualbound = 1985944.171540, lowerbound=1103501.171540, norm of subgrad 42.332447 stepsize= 1.000000
+dualbound = 1986262.428860, lowerbound=1100955.428860, norm of subgrad 1049.973061 dualbound = 1986262.428860, lowerbound=1100955.428860, norm of subgrad 42.500086 stepsize= 1.000000
+dualbound = 1986534.336710, lowerbound=1098528.336710, norm of subgrad 1048.823311 dualbound = 1986534.336710, lowerbound=1098528.336710, norm of subgrad 42.117785 stepsize= 1.000000
+dualbound = 1986808.980569, lowerbound=1100287.980569, norm of subgrad 1049.704711 dualbound = 1986808.980569, lowerbound=1100287.980569, norm of subgrad 43.204674 stepsize= 1.000000
+dualbound = 1987078.941022, lowerbound=1098746.941022, norm of subgrad 1048.976616 dualbound = 1987078.941022, lowerbound=1098746.941022, norm of subgrad 43.300814 stepsize= 1.000000
+dualbound = 1987369.131525, lowerbound=1102415.131525, norm of subgrad 1050.673656 dualbound = 1987369.131525, lowerbound=1102415.131525, norm of subgrad 42.310643 stepsize= 1.000000
+dualbound = 1987675.800182, lowerbound=1099304.800182, norm of subgrad 1049.211990 dualbound = 1987675.800182, lowerbound=1099304.800182, norm of subgrad 42.984516 stepsize= 1.000000
+dualbound = 1987927.171980, lowerbound=1101563.171980, norm of subgrad 1050.305276 dualbound = 1987927.171980, lowerbound=1101563.171980, norm of subgrad 42.771156 stepsize= 1.000000
+dualbound = 1988182.780819, lowerbound=1102211.780819, norm of subgrad 1050.589730 dualbound = 1988182.780819, lowerbound=1102211.780819, norm of subgrad 42.220953 stepsize= 1.000000
+dualbound = 1988505.164978, lowerbound=1102033.164978, norm of subgrad 1050.506623 dualbound = 1988505.164978, lowerbound=1102033.164978, norm of subgrad 43.050948 stepsize= 1.000000
+dualbound = 1988748.846916, lowerbound=1101568.846916, norm of subgrad 1050.287983 dualbound = 1988748.846916, lowerbound=1101568.846916, norm of subgrad 42.186277 stepsize= 1.000000
+dualbound = 1989060.511581, lowerbound=1099353.511581, norm of subgrad 1049.214235 dualbound = 1989060.511581, lowerbound=1099353.511581, norm of subgrad 42.528398 stepsize= 1.000000
+dualbound = 1989345.909411, lowerbound=1101404.909411, norm of subgrad 1050.170419 dualbound = 1989345.909411, lowerbound=1101404.909411, norm of subgrad 41.694098 stepsize= 1.000000
+dualbound = 1989622.082108, lowerbound=1099232.082108, norm of subgrad 1049.206882 dualbound = 1989622.082108, lowerbound=1099232.082108, norm of subgrad 43.349426 stepsize= 1.000000
+dualbound = 1989888.092433, lowerbound=1102646.092433, norm of subgrad 1050.856361 dualbound = 1989888.092433, lowerbound=1102646.092433, norm of subgrad 43.806510 stepsize= 1.000000
+dualbound = 1990145.116532, lowerbound=1099426.116532, norm of subgrad 1049.269802 dualbound = 1990145.116532, lowerbound=1099426.116532, norm of subgrad 42.403114 stepsize= 1.000000
+dualbound = 1990483.093223, lowerbound=1100201.093223, norm of subgrad 1049.653797 dualbound = 1990483.093223, lowerbound=1100201.093223, norm of subgrad 43.703280 stepsize= 1.000000
+dualbound = 1990745.357627, lowerbound=1100167.357627, norm of subgrad 1049.625342 dualbound = 1990745.357627, lowerbound=1100167.357627, norm of subgrad 42.523692 stepsize= 1.000000
+dualbound = 1991025.880925, lowerbound=1099823.880925, norm of subgrad 1049.472192 dualbound = 1991025.880925, lowerbound=1099823.880925, norm of subgrad 42.994457 stepsize= 1.000000
+dualbound = 1991311.000535, lowerbound=1100928.000535, norm of subgrad 1050.006667 dualbound = 1991311.000535, lowerbound=1100928.000535, norm of subgrad 43.256440 stepsize= 1.000000
+dualbound = 1991598.447685, lowerbound=1102806.447685, norm of subgrad 1050.897924 dualbound = 1991598.447685, lowerbound=1102806.447685, norm of subgrad 43.213969 stepsize= 1.000000
+dualbound = 1991871.082484, lowerbound=1099127.082484, norm of subgrad 1049.157320 dualbound = 1991871.082484, lowerbound=1099127.082484, norm of subgrad 43.320143 stepsize= 1.000000
+dualbound = 1992147.003744, lowerbound=1098941.003744, norm of subgrad 1049.060534 dualbound = 1992147.003744, lowerbound=1098941.003744, norm of subgrad 43.161572 stepsize= 1.000000
+dualbound = 1992447.645613, lowerbound=1103512.645613, norm of subgrad 1051.235771 dualbound = 1992447.645613, lowerbound=1103512.645613, norm of subgrad 43.412462 stepsize= 1.000000
+dualbound = 1992744.402608, lowerbound=1102449.402608, norm of subgrad 1050.699958 dualbound = 1992744.402608, lowerbound=1102449.402608, norm of subgrad 42.635161 stepsize= 1.000000
+dualbound = 1993031.337997, lowerbound=1102523.337997, norm of subgrad 1050.751321 dualbound = 1993031.337997, lowerbound=1102523.337997, norm of subgrad 42.917775 stepsize= 1.000000
+dualbound = 1993295.916741, lowerbound=1101662.916741, norm of subgrad 1050.325624 dualbound = 1993295.916741, lowerbound=1101662.916741, norm of subgrad 42.256109 stepsize= 1.000000
+dualbound = 1993588.610297, lowerbound=1099140.610297, norm of subgrad 1049.180447 dualbound = 1993588.610297, lowerbound=1099140.610297, norm of subgrad 43.951036 stepsize= 1.000000
+dualbound = 1993823.224583, lowerbound=1103836.224583, norm of subgrad 1051.391090 dualbound = 1993823.224583, lowerbound=1103836.224583, norm of subgrad 42.680374 stepsize= 1.000000
+dualbound = 1994137.862812, lowerbound=1103358.862812, norm of subgrad 1051.126473 dualbound = 1994137.862812, lowerbound=1103358.862812, norm of subgrad 42.692367 stepsize= 1.000000
+dualbound = 1994444.347944, lowerbound=1104357.347944, norm of subgrad 1051.618918 dualbound = 1994444.347944, lowerbound=1104357.347944, norm of subgrad 43.028887 stepsize= 1.000000
+dualbound = 1994677.804390, lowerbound=1098821.804390, norm of subgrad 1049.005626 dualbound = 1994677.804390, lowerbound=1098821.804390, norm of subgrad 42.713656 stepsize= 1.000000
+dualbound = 1994987.732941, lowerbound=1104919.732941, norm of subgrad 1051.878193 dualbound = 1994987.732941, lowerbound=1104919.732941, norm of subgrad 42.871069 stepsize= 1.000000
+dualbound = 1995254.096514, lowerbound=1100750.096514, norm of subgrad 1049.923853 dualbound = 1995254.096514, lowerbound=1100750.096514, norm of subgrad 43.085538 stepsize= 1.000000
+dualbound = 1995546.166840, lowerbound=1101195.166840, norm of subgrad 1050.118168 dualbound = 1995546.166840, lowerbound=1101195.166840, norm of subgrad 42.954282 stepsize= 1.000000
+dualbound = 1995832.280561, lowerbound=1102532.280561, norm of subgrad 1050.741776 dualbound = 1995832.280561, lowerbound=1102532.280561, norm of subgrad 42.568929 stepsize= 1.000000
+dualbound = 1996105.666238, lowerbound=1103034.666238, norm of subgrad 1050.978909 dualbound = 1996105.666238, lowerbound=1103034.666238, norm of subgrad 42.371992 stepsize= 1.000000
+dualbound = 1996381.391076, lowerbound=1103830.391076, norm of subgrad 1051.365964 dualbound = 1996381.391076, lowerbound=1103830.391076, norm of subgrad 42.611323 stepsize= 1.000000
+dualbound = 1996650.079176, lowerbound=1102136.079176, norm of subgrad 1050.573215 dualbound = 1996650.079176, lowerbound=1102136.079176, norm of subgrad 42.856599 stepsize= 1.000000
+dualbound = 1996937.593929, lowerbound=1102037.593929, norm of subgrad 1050.531101 dualbound = 1996937.593929, lowerbound=1102037.593929, norm of subgrad 43.191605 stepsize= 1.000000
+dualbound = 1997207.191584, lowerbound=1106147.191584, norm of subgrad 1052.459591 dualbound = 1997207.191584, lowerbound=1106147.191584, norm of subgrad 42.350887 stepsize= 1.000000
+dualbound = 1997509.697502, lowerbound=1099784.697502, norm of subgrad 1049.424460 dualbound = 1997509.697502, lowerbound=1099784.697502, norm of subgrad 42.538288 stepsize= 1.000000
+dualbound = 1997782.127425, lowerbound=1102645.127425, norm of subgrad 1050.832112 dualbound = 1997782.127425, lowerbound=1102645.127425, norm of subgrad 43.306234 stepsize= 1.000000
+dualbound = 1998054.432087, lowerbound=1099442.432087, norm of subgrad 1049.303308 dualbound = 1998054.432087, lowerbound=1099442.432087, norm of subgrad 43.212321 stepsize= 1.000000
+dualbound = 1998338.122910, lowerbound=1104096.122910, norm of subgrad 1051.482821 dualbound = 1998338.122910, lowerbound=1104096.122910, norm of subgrad 42.469881 stepsize= 1.000000
+dualbound = 1998635.689623, lowerbound=1102445.689623, norm of subgrad 1050.682963 dualbound = 1998635.689623, lowerbound=1102445.689623, norm of subgrad 42.267798 stepsize= 1.000000
+dualbound = 1998894.259784, lowerbound=1105090.259784, norm of subgrad 1051.993945 dualbound = 1998894.259784, lowerbound=1105090.259784, norm of subgrad 43.122734 stepsize= 1.000000
+dualbound = 1999169.869574, lowerbound=1101908.869574, norm of subgrad 1050.474117 dualbound = 1999169.869574, lowerbound=1101908.869574, norm of subgrad 43.157963 stepsize= 1.000000
+dualbound = 1999453.572336, lowerbound=1102843.572336, norm of subgrad 1050.890847 dualbound = 1999453.572336, lowerbound=1102843.572336, norm of subgrad 42.564102 stepsize= 1.000000
+dualbound = 1999737.228553, lowerbound=1100773.228553, norm of subgrad 1049.903914 dualbound = 1999737.228553, lowerbound=1100773.228553, norm of subgrad 42.528299 stepsize= 1.000000
+dualbound = 2000023.572817, lowerbound=1103288.572817, norm of subgrad 1051.103502 dualbound = 2000023.572817, lowerbound=1103288.572817, norm of subgrad 42.618591 stepsize= 1.000000
+dualbound = 2000293.986705, lowerbound=1100775.986705, norm of subgrad 1049.929039 dualbound = 2000293.986705, lowerbound=1100775.986705, norm of subgrad 42.958281 stepsize= 1.000000
+dualbound = 2000570.341111, lowerbound=1103318.341111, norm of subgrad 1051.130031 dualbound = 2000570.341111, lowerbound=1103318.341111, norm of subgrad 42.806009 stepsize= 1.000000
+dualbound = 2000844.384563, lowerbound=1105071.384563, norm of subgrad 1051.971190 dualbound = 2000844.384563, lowerbound=1105071.384563, norm of subgrad 42.965608 stepsize= 1.000000
+dualbound = 2001121.299597, lowerbound=1104425.299597, norm of subgrad 1051.645520 dualbound = 2001121.299597, lowerbound=1104425.299597, norm of subgrad 42.543096 stepsize= 1.000000
+dualbound = 2001411.866798, lowerbound=1103931.866798, norm of subgrad 1051.386640 dualbound = 2001411.866798, lowerbound=1103931.866798, norm of subgrad 42.101867 stepsize= 1.000000
+dualbound = 2001687.228756, lowerbound=1101971.228756, norm of subgrad 1050.473336 dualbound = 2001687.228756, lowerbound=1101971.228756, norm of subgrad 42.407098 stepsize= 1.000000
+dualbound = 2001957.113022, lowerbound=1101432.113022, norm of subgrad 1050.234313 dualbound = 2001957.113022, lowerbound=1101432.113022, norm of subgrad 42.777147 stepsize= 1.000000
+dualbound = 2002235.105232, lowerbound=1104170.105232, norm of subgrad 1051.526084 dualbound = 2002235.105232, lowerbound=1104170.105232, norm of subgrad 42.602725 stepsize= 1.000000
+dualbound = 2002532.983856, lowerbound=1101210.983856, norm of subgrad 1050.114272 dualbound = 2002532.983856, lowerbound=1101210.983856, norm of subgrad 42.742001 stepsize= 1.000000
+dualbound = 2002802.465776, lowerbound=1102969.465776, norm of subgrad 1050.963113 dualbound = 2002802.465776, lowerbound=1102969.465776, norm of subgrad 42.702247 stepsize= 1.000000
+dualbound = 2003080.743115, lowerbound=1104047.743115, norm of subgrad 1051.461717 dualbound = 2003080.743115, lowerbound=1104047.743115, norm of subgrad 42.453237 stepsize= 1.000000
+dualbound = 2003373.675153, lowerbound=1106524.675153, norm of subgrad 1052.613260 dualbound = 2003373.675153, lowerbound=1106524.675153, norm of subgrad 41.987284 stepsize= 1.000000
+dualbound = 2003647.460805, lowerbound=1100739.460805, norm of subgrad 1049.896881 dualbound = 2003647.460805, lowerbound=1100739.460805, norm of subgrad 42.635498 stepsize= 1.000000
+dualbound = 2003894.745860, lowerbound=1101169.745860, norm of subgrad 1050.128443 dualbound = 2003894.745860, lowerbound=1101169.745860, norm of subgrad 42.980054 stepsize= 1.000000
+dualbound = 2004183.969769, lowerbound=1103643.969769, norm of subgrad 1051.307743 dualbound = 2004183.969769, lowerbound=1103643.969769, norm of subgrad 43.511193 stepsize= 1.000000
+dualbound = 2004451.055548, lowerbound=1105999.055548, norm of subgrad 1052.431972 dualbound = 2004451.055548, lowerbound=1105999.055548, norm of subgrad 43.371486 stepsize= 1.000000
+dualbound = 2004737.805551, lowerbound=1100216.805551, norm of subgrad 1049.638417 dualbound = 2004737.805551, lowerbound=1100216.805551, norm of subgrad 42.552908 stepsize= 1.000000
+dualbound = 2005031.514161, lowerbound=1101847.514161, norm of subgrad 1050.428253 dualbound = 2005031.514161, lowerbound=1101847.514161, norm of subgrad 42.961711 stepsize= 1.000000
+dualbound = 2005289.418993, lowerbound=1102134.418993, norm of subgrad 1050.540537 dualbound = 2005289.418993, lowerbound=1102134.418993, norm of subgrad 41.939299 stepsize= 1.000000
+dualbound = 2005594.564938, lowerbound=1104924.564938, norm of subgrad 1051.853871 dualbound = 2005594.564938, lowerbound=1104924.564938, norm of subgrad 42.156209 stepsize= 1.000000
+dualbound = 2005870.975709, lowerbound=1103036.975709, norm of subgrad 1050.954792 dualbound = 2005870.975709, lowerbound=1103036.975709, norm of subgrad 41.778114 stepsize= 1.000000
+dualbound = 2006162.718619, lowerbound=1103565.718619, norm of subgrad 1051.225817 dualbound = 2006162.718619, lowerbound=1103565.718619, norm of subgrad 42.446942 stepsize= 1.000000
+dualbound = 2006409.496901, lowerbound=1102767.496901, norm of subgrad 1050.865594 dualbound = 2006409.496901, lowerbound=1102767.496901, norm of subgrad 42.400216 stepsize= 1.000000
+dualbound = 2006675.193662, lowerbound=1105228.193662, norm of subgrad 1052.063303 dualbound = 2006675.193662, lowerbound=1105228.193662, norm of subgrad 43.297769 stepsize= 1.000000
+dualbound = 2006939.844089, lowerbound=1104132.844089, norm of subgrad 1051.505989 dualbound = 2006939.844089, lowerbound=1104132.844089, norm of subgrad 42.386913 stepsize= 1.000000
+dualbound = 2007283.021385, lowerbound=1103791.021385, norm of subgrad 1051.305865 dualbound = 2007283.021385, lowerbound=1103791.021385, norm of subgrad 42.381332 stepsize= 1.000000
+dualbound = 2007532.284449, lowerbound=1102689.284449, norm of subgrad 1050.816960 dualbound = 2007532.284449, lowerbound=1102689.284449, norm of subgrad 42.145736 stepsize= 1.000000
+dualbound = 2007795.015625, lowerbound=1100020.015625, norm of subgrad 1049.549435 dualbound = 2007795.015625, lowerbound=1100020.015625, norm of subgrad 42.387866 stepsize= 1.000000
+dualbound = 2008110.523984, lowerbound=1106003.523984, norm of subgrad 1052.362354 dualbound = 2008110.523984, lowerbound=1106003.523984, norm of subgrad 42.172365 stepsize= 1.000000
+dualbound = 2008352.902771, lowerbound=1105914.902771, norm of subgrad 1052.374412 dualbound = 2008352.902771, lowerbound=1105914.902771, norm of subgrad 42.654177 stepsize= 1.000000
+dualbound = 2008631.045532, lowerbound=1100074.045532, norm of subgrad 1049.571363 dualbound = 2008631.045532, lowerbound=1100074.045532, norm of subgrad 42.475202 stepsize= 1.000000
+dualbound = 2008917.733992, lowerbound=1105130.733992, norm of subgrad 1051.962325 dualbound = 2008917.733992, lowerbound=1105130.733992, norm of subgrad 42.198204 stepsize= 1.000000
+dualbound = 2009203.533710, lowerbound=1101840.533710, norm of subgrad 1050.390182 dualbound = 2009203.533710, lowerbound=1101840.533710, norm of subgrad 42.009519 stepsize= 1.000000
+dualbound = 2009455.614428, lowerbound=1102584.614428, norm of subgrad 1050.812359 dualbound = 2009455.614428, lowerbound=1102584.614428, norm of subgrad 43.290654 stepsize= 1.000000
+dualbound = 2009728.106998, lowerbound=1105643.106998, norm of subgrad 1052.232440 dualbound = 2009728.106998, lowerbound=1105643.106998, norm of subgrad 42.690661 stepsize= 1.000000
+dualbound = 2010034.963235, lowerbound=1104773.963235, norm of subgrad 1051.811753 dualbound = 2010034.963235, lowerbound=1104773.963235, norm of subgrad 42.905201 stepsize= 1.000000
+dualbound = 2010306.418129, lowerbound=1106148.418129, norm of subgrad 1052.470626 dualbound = 2010306.418129, lowerbound=1106148.418129, norm of subgrad 42.631618 stepsize= 1.000000
+dualbound = 2010591.455588, lowerbound=1102255.455588, norm of subgrad 1050.615275 dualbound = 2010591.455588, lowerbound=1102255.455588, norm of subgrad 42.685331 stepsize= 1.000000
+dualbound = 2010857.118774, lowerbound=1103681.118774, norm of subgrad 1051.273570 dualbound = 2010857.118774, lowerbound=1103681.118774, norm of subgrad 41.960257 stepsize= 1.000000
+dualbound = 2011150.397839, lowerbound=1104366.397839, norm of subgrad 1051.604202 dualbound = 2011150.397839, lowerbound=1104366.397839, norm of subgrad 42.406121 stepsize= 1.000000
+dualbound = 2011396.543727, lowerbound=1103003.543727, norm of subgrad 1050.971714 dualbound = 2011396.543727, lowerbound=1103003.543727, norm of subgrad 42.239151 stepsize= 1.000000
+dualbound = 2011689.540411, lowerbound=1102917.540411, norm of subgrad 1050.922709 dualbound = 2011689.540411, lowerbound=1102917.540411, norm of subgrad 42.591040 stepsize= 1.000000
+dualbound = 2011951.320001, lowerbound=1107400.320001, norm of subgrad 1053.090366 dualbound = 2011951.320001, lowerbound=1107400.320001, norm of subgrad 43.136755 stepsize= 1.000000
+dualbound = 2012228.798830, lowerbound=1103933.798830, norm of subgrad 1051.431310 dualbound = 2012228.798830, lowerbound=1103933.798830, norm of subgrad 43.028814 stepsize= 1.000000
+dualbound = 2012486.464239, lowerbound=1103114.464239, norm of subgrad 1051.037328 dualbound = 2012486.464239, lowerbound=1103114.464239, norm of subgrad 42.692686 stepsize= 1.000000
+dualbound = 2012788.425280, lowerbound=1104863.425280, norm of subgrad 1051.840970 dualbound = 2012788.425280, lowerbound=1104863.425280, norm of subgrad 42.520125 stepsize= 1.000000
+dualbound = 2013055.055205, lowerbound=1104608.055205, norm of subgrad 1051.747144 dualbound = 2013055.055205, lowerbound=1104608.055205, norm of subgrad 42.785861 stepsize= 1.000000
+dualbound = 2013325.938142, lowerbound=1101788.938142, norm of subgrad 1050.402274 dualbound = 2013325.938142, lowerbound=1101788.938142, norm of subgrad 42.742051 stepsize= 1.000000
+dualbound = 2013586.324161, lowerbound=1099153.324161, norm of subgrad 1049.156959 dualbound = 2013586.324161, lowerbound=1099153.324161, norm of subgrad 42.864741 stepsize= 1.000000
+dualbound = 2013865.851252, lowerbound=1106804.851252, norm of subgrad 1052.802855 dualbound = 2013865.851252, lowerbound=1106804.851252, norm of subgrad 43.226463 stepsize= 1.000000
+dualbound = 2014146.232482, lowerbound=1103943.232482, norm of subgrad 1051.418201 dualbound = 2014146.232482, lowerbound=1103943.232482, norm of subgrad 42.630755 stepsize= 1.000000
+dualbound = 2014469.283829, lowerbound=1106300.283829, norm of subgrad 1052.526144 dualbound = 2014469.283829, lowerbound=1106300.283829, norm of subgrad 42.825826 stepsize= 1.000000
+dualbound = 2014706.469337, lowerbound=1099748.469337, norm of subgrad 1049.429116 dualbound = 2014706.469337, lowerbound=1099748.469337, norm of subgrad 42.310584 stepsize= 1.000000
+dualbound = 2015024.876170, lowerbound=1103870.876170, norm of subgrad 1051.357635 dualbound = 2015024.876170, lowerbound=1103870.876170, norm of subgrad 42.431201 stepsize= 1.000000
+dualbound = 2015285.772413, lowerbound=1104868.772413, norm of subgrad 1051.866804 dualbound = 2015285.772413, lowerbound=1104868.772413, norm of subgrad 42.613334 stepsize= 1.000000
+dualbound = 2015526.303618, lowerbound=1104927.303618, norm of subgrad 1051.887020 dualbound = 2015526.303618, lowerbound=1104927.303618, norm of subgrad 42.184490 stepsize= 1.000000
+dualbound = 2015815.561066, lowerbound=1105584.561066, norm of subgrad 1052.208896 dualbound = 2015815.561066, lowerbound=1105584.561066, norm of subgrad 42.991365 stepsize= 1.000000
+dualbound = 2016110.309416, lowerbound=1103295.309416, norm of subgrad 1051.115269 dualbound = 2016110.309416, lowerbound=1103295.309416, norm of subgrad 42.927245 stepsize= 1.000000
+dualbound = 2016359.655267, lowerbound=1103198.655267, norm of subgrad 1051.081660 dualbound = 2016359.655267, lowerbound=1103198.655267, norm of subgrad 42.700654 stepsize= 1.000000
+dualbound = 2016637.445178, lowerbound=1106981.445178, norm of subgrad 1052.850628 dualbound = 2016637.445178, lowerbound=1106981.445178, norm of subgrad 42.317726 stepsize= 1.000000
+dualbound = 2016942.786197, lowerbound=1103649.786197, norm of subgrad 1051.259143 dualbound = 2016942.786197, lowerbound=1103649.786197, norm of subgrad 42.442208 stepsize= 1.000000
+dualbound = 2017212.912553, lowerbound=1105273.912553, norm of subgrad 1052.028000 dualbound = 2017212.912553, lowerbound=1105273.912553, norm of subgrad 41.941940 stepsize= 1.000000
+dualbound = 2017513.424145, lowerbound=1103199.424145, norm of subgrad 1051.024464 dualbound = 2017513.424145, lowerbound=1103199.424145, norm of subgrad 41.874952 stepsize= 1.000000
+dualbound = 2017785.011154, lowerbound=1106668.011154, norm of subgrad 1052.728365 dualbound = 2017785.011154, lowerbound=1106668.011154, norm of subgrad 42.902063 stepsize= 1.000000
+dualbound = 2018000.232547, lowerbound=1102581.232547, norm of subgrad 1050.821218 dualbound = 2018000.232547, lowerbound=1102581.232547, norm of subgrad 43.118690 stepsize= 1.000000
+dualbound = 2018287.141217, lowerbound=1106682.141217, norm of subgrad 1052.736501 dualbound = 2018287.141217, lowerbound=1106682.141217, norm of subgrad 43.115063 stepsize= 1.000000
+dualbound = 2018579.533436, lowerbound=1103004.533436, norm of subgrad 1050.987885 dualbound = 2018579.533436, lowerbound=1103004.533436, norm of subgrad 43.167027 stepsize= 1.000000
+dualbound = 2018863.630292, lowerbound=1104479.630292, norm of subgrad 1051.677056 dualbound = 2018863.630292, lowerbound=1104479.630292, norm of subgrad 42.767942 stepsize= 1.000000
+dualbound = 2019130.205661, lowerbound=1100943.205661, norm of subgrad 1049.972479 dualbound = 2019130.205661, lowerbound=1100943.205661, norm of subgrad 42.018750 stepsize= 1.000000
+dualbound = 2019417.783428, lowerbound=1103427.783428, norm of subgrad 1051.165441 dualbound = 2019417.783428, lowerbound=1103427.783428, norm of subgrad 42.527377 stepsize= 1.000000
+dualbound = 2019685.543072, lowerbound=1103470.543072, norm of subgrad 1051.197671 dualbound = 2019685.543072, lowerbound=1103470.543072, norm of subgrad 42.588257 stepsize= 1.000000
+dualbound = 2019972.141950, lowerbound=1108112.141950, norm of subgrad 1053.359930 dualbound = 2019972.141950, lowerbound=1108112.141950, norm of subgrad 41.732468 stepsize= 1.000000
+dualbound = 2020256.220562, lowerbound=1101815.220562, norm of subgrad 1050.403361 dualbound = 2020256.220562, lowerbound=1101815.220562, norm of subgrad 42.615474 stepsize= 1.000000
+dualbound = 2020520.878389, lowerbound=1104320.878389, norm of subgrad 1051.609185 dualbound = 2020520.878389, lowerbound=1104320.878389, norm of subgrad 42.727717 stepsize= 1.000000
+dualbound = 2020774.861702, lowerbound=1104041.861702, norm of subgrad 1051.477466 dualbound = 2020774.861702, lowerbound=1104041.861702, norm of subgrad 42.626087 stepsize= 1.000000
+dualbound = 2021063.134525, lowerbound=1104827.134525, norm of subgrad 1051.870303 dualbound = 2021063.134525, lowerbound=1104827.134525, norm of subgrad 43.500262 stepsize= 1.000000
+dualbound = 2021310.644490, lowerbound=1103918.644490, norm of subgrad 1051.408410 dualbound = 2021310.644490, lowerbound=1103918.644490, norm of subgrad 42.290779 stepsize= 1.000000
+dualbound = 2021634.772042, lowerbound=1104801.772042, norm of subgrad 1051.820218 dualbound = 2021634.772042, lowerbound=1104801.772042, norm of subgrad 42.989854 stepsize= 1.000000
+dualbound = 2021872.164914, lowerbound=1104309.164914, norm of subgrad 1051.606469 dualbound = 2021872.164914, lowerbound=1104309.164914, norm of subgrad 42.478146 stepsize= 1.000000
+dualbound = 2022158.806967, lowerbound=1106495.806967, norm of subgrad 1052.653698 dualbound = 2022158.806967, lowerbound=1106495.806967, norm of subgrad 43.250920 stepsize= 1.000000
+dualbound = 2022444.292026, lowerbound=1104375.292026, norm of subgrad 1051.645041 dualbound = 2022444.292026, lowerbound=1104375.292026, norm of subgrad 43.214408 stepsize= 1.000000
+dualbound = 2022715.469783, lowerbound=1102967.469783, norm of subgrad 1050.962640 dualbound = 2022715.469783, lowerbound=1102967.469783, norm of subgrad 42.733801 stepsize= 1.000000
+dualbound = 2022990.852477, lowerbound=1106435.852477, norm of subgrad 1052.619994 dualbound = 2022990.852477, lowerbound=1106435.852477, norm of subgrad 42.992821 stepsize= 1.000000
+dualbound = 2023269.391820, lowerbound=1105171.391820, norm of subgrad 1052.004939 dualbound = 2023269.391820, lowerbound=1105171.391820, norm of subgrad 42.679496 stepsize= 1.000000
+dualbound = 2023551.263669, lowerbound=1108205.263669, norm of subgrad 1053.421219 dualbound = 2023551.263669, lowerbound=1108205.263669, norm of subgrad 42.105485 stepsize= 1.000000
+dualbound = 2023840.203875, lowerbound=1102682.203875, norm of subgrad 1050.814067 dualbound = 2023840.203875, lowerbound=1102682.203875, norm of subgrad 42.625582 stepsize= 1.000000
+dualbound = 2024071.183068, lowerbound=1104319.183068, norm of subgrad 1051.597919 dualbound = 2024071.183068, lowerbound=1104319.183068, norm of subgrad 42.071121 stepsize= 1.000000
+dualbound = 2024387.975615, lowerbound=1103169.975615, norm of subgrad 1051.038047 dualbound = 2024387.975615, lowerbound=1103169.975615, norm of subgrad 42.752691 stepsize= 1.000000
+dualbound = 2024635.556026, lowerbound=1106390.556026, norm of subgrad 1052.617953 dualbound = 2024635.556026, lowerbound=1106390.556026, norm of subgrad 43.146036 stepsize= 1.000000
+dualbound = 2024922.354260, lowerbound=1105089.354260, norm of subgrad 1051.972126 dualbound = 2024922.354260, lowerbound=1105089.354260, norm of subgrad 42.927826 stepsize= 1.000000
+dualbound = 2025181.386452, lowerbound=1104739.386452, norm of subgrad 1051.769645 dualbound = 2025181.386452, lowerbound=1104739.386452, norm of subgrad 41.701705 stepsize= 1.000000
+dualbound = 2025463.256933, lowerbound=1105098.256933, norm of subgrad 1051.960673 dualbound = 2025463.256933, lowerbound=1105098.256933, norm of subgrad 42.483767 stepsize= 1.000000
+dualbound = 2025727.634535, lowerbound=1105572.634535, norm of subgrad 1052.164737 dualbound = 2025727.634535, lowerbound=1105572.634535, norm of subgrad 41.741797 stepsize= 1.000000
+dualbound = 2026016.005020, lowerbound=1105242.005020, norm of subgrad 1052.028044 dualbound = 2026016.005020, lowerbound=1105242.005020, norm of subgrad 42.536696 stepsize= 1.000000
+dualbound = 2026251.602462, lowerbound=1105178.602462, norm of subgrad 1052.050190 dualbound = 2026251.602462, lowerbound=1105178.602462, norm of subgrad 43.204137 stepsize= 1.000000
+dualbound = 2026531.729801, lowerbound=1104109.729801, norm of subgrad 1051.484536 dualbound = 2026531.729801, lowerbound=1104109.729801, norm of subgrad 42.309896 stepsize= 1.000000
+dualbound = 2026816.767300, lowerbound=1105151.767300, norm of subgrad 1051.996087 dualbound = 2026816.767300, lowerbound=1105151.767300, norm of subgrad 42.767248 stepsize= 1.000000
+dualbound = 2027082.976236, lowerbound=1103849.976236, norm of subgrad 1051.390972 dualbound = 2027082.976236, lowerbound=1103849.976236, norm of subgrad 42.885999 stepsize= 1.000000
+dualbound = 2027357.857048, lowerbound=1106630.857048, norm of subgrad 1052.713093 dualbound = 2027357.857048, lowerbound=1106630.857048, norm of subgrad 42.998614 stepsize= 1.000000
+dualbound = 2027620.871879, lowerbound=1104545.871879, norm of subgrad 1051.696663 dualbound = 2027620.871879, lowerbound=1104545.871879, norm of subgrad 42.225760 stepsize= 1.000000
+dualbound = 2027906.079029, lowerbound=1105734.079029, norm of subgrad 1052.296099 dualbound = 2027906.079029, lowerbound=1105734.079029, norm of subgrad 43.338287 stepsize= 1.000000
+dualbound = 2028170.282306, lowerbound=1102130.282306, norm of subgrad 1050.510011 dualbound = 2028170.282306, lowerbound=1102130.282306, norm of subgrad 41.294107 stepsize= 1.000000
+dualbound = 2028491.791422, lowerbound=1104819.791422, norm of subgrad 1051.803114 dualbound = 2028491.791422, lowerbound=1104819.791422, norm of subgrad 42.326223 stepsize= 1.000000
+dualbound = 2028716.242576, lowerbound=1106847.242576, norm of subgrad 1052.812064 dualbound = 2028716.242576, lowerbound=1106847.242576, norm of subgrad 42.313723 stepsize= 1.000000
+dualbound = 2029008.650591, lowerbound=1106745.650591, norm of subgrad 1052.760491 dualbound = 2029008.650591, lowerbound=1106745.650591, norm of subgrad 43.027991 stepsize= 1.000000
+dualbound = 2029262.714233, lowerbound=1105476.714233, norm of subgrad 1052.125332 dualbound = 2029262.714233, lowerbound=1105476.714233, norm of subgrad 41.773959 stepsize= 1.000000
+dualbound = 2029579.528248, lowerbound=1104313.528248, norm of subgrad 1051.571457 dualbound = 2029579.528248, lowerbound=1104313.528248, norm of subgrad 42.494870 stepsize= 1.000000
+dualbound = 2029816.749654, lowerbound=1106390.749654, norm of subgrad 1052.590970 dualbound = 2029816.749654, lowerbound=1106390.749654, norm of subgrad 42.358251 stepsize= 1.000000
+dualbound = 2030120.028112, lowerbound=1106954.028112, norm of subgrad 1052.844731 dualbound = 2030120.028112, lowerbound=1106954.028112, norm of subgrad 42.793439 stepsize= 1.000000
+dualbound = 2030364.230498, lowerbound=1102921.230498, norm of subgrad 1050.939689 dualbound = 2030364.230498, lowerbound=1102921.230498, norm of subgrad 42.393424 stepsize= 1.000000
+dualbound = 2030650.766820, lowerbound=1105592.766820, norm of subgrad 1052.195688 dualbound = 2030650.766820, lowerbound=1105592.766820, norm of subgrad 42.538645 stepsize= 1.000000
+dualbound = 2030903.853429, lowerbound=1108135.853429, norm of subgrad 1053.427194 dualbound = 2030903.853429, lowerbound=1108135.853429, norm of subgrad 42.732735 stepsize= 1.000000
+dualbound = 2031183.430338, lowerbound=1102989.430338, norm of subgrad 1050.967378 dualbound = 2031183.430338, lowerbound=1102989.430338, norm of subgrad 42.691649 stepsize= 1.000000
+dualbound = 2031461.551645, lowerbound=1107283.551645, norm of subgrad 1053.005485 dualbound = 2031461.551645, lowerbound=1107283.551645, norm of subgrad 42.604240 stepsize= 1.000000
+dualbound = 2031719.674466, lowerbound=1103159.674466, norm of subgrad 1051.027913 dualbound = 2031719.674466, lowerbound=1103159.674466, norm of subgrad 41.929975 stepsize= 1.000000
+dualbound = 2032009.741417, lowerbound=1109898.741417, norm of subgrad 1054.270241 dualbound = 2032009.741417, lowerbound=1109898.741417, norm of subgrad 43.325131 stepsize= 1.000000
+dualbound = 2032256.059335, lowerbound=1104408.059335, norm of subgrad 1051.660620 dualbound = 2032256.059335, lowerbound=1104408.059335, norm of subgrad 42.758834 stepsize= 1.000000
+dualbound = 2032541.958542, lowerbound=1102805.958542, norm of subgrad 1050.873427 dualbound = 2032541.958542, lowerbound=1102805.958542, norm of subgrad 42.601634 stepsize= 1.000000
+dualbound = 2032829.383685, lowerbound=1102773.383685, norm of subgrad 1050.872677 dualbound = 2032829.383685, lowerbound=1102773.383685, norm of subgrad 42.981684 stepsize= 1.000000
+dualbound = 2033101.634446, lowerbound=1108288.634446, norm of subgrad 1053.508725 dualbound = 2033101.634446, lowerbound=1108288.634446, norm of subgrad 43.176970 stepsize= 1.000000
+dualbound = 2033360.513906, lowerbound=1105702.513906, norm of subgrad 1052.245938 dualbound = 2033360.513906, lowerbound=1105702.513906, norm of subgrad 42.164908 stepsize= 1.000000
+dualbound = 2033642.770554, lowerbound=1109187.770554, norm of subgrad 1053.940592 dualbound = 2033642.770554, lowerbound=1109187.770554, norm of subgrad 43.419542 stepsize= 1.000000
+dualbound = 2033893.661484, lowerbound=1105065.661484, norm of subgrad 1051.949458 dualbound = 2033893.661484, lowerbound=1105065.661484, norm of subgrad 42.224293 stepsize= 1.000000
+dualbound = 2034188.531345, lowerbound=1102134.531345, norm of subgrad 1050.540590 dualbound = 2034188.531345, lowerbound=1102134.531345, norm of subgrad 42.377705 stepsize= 1.000000
+dualbound = 2034446.000214, lowerbound=1105859.000214, norm of subgrad 1052.341200 dualbound = 2034446.000214, lowerbound=1105859.000214, norm of subgrad 42.666953 stepsize= 1.000000
+dualbound = 2034710.308456, lowerbound=1108324.308456, norm of subgrad 1053.510469 dualbound = 2034710.308456, lowerbound=1108324.308456, norm of subgrad 42.711922 stepsize= 1.000000
+dualbound = 2035008.457037, lowerbound=1107616.457037, norm of subgrad 1053.169719 dualbound = 2035008.457037, lowerbound=1107616.457037, norm of subgrad 42.990099 stepsize= 1.000000
+dualbound = 2035267.337966, lowerbound=1102402.337966, norm of subgrad 1050.698500 dualbound = 2035267.337966, lowerbound=1102402.337966, norm of subgrad 42.706919 stepsize= 1.000000
+dualbound = 2035541.458196, lowerbound=1105544.458196, norm of subgrad 1052.171306 dualbound = 2035541.458196, lowerbound=1105544.458196, norm of subgrad 42.357056 stepsize= 1.000000
+dualbound = 2035811.358114, lowerbound=1108058.358114, norm of subgrad 1053.400853 dualbound = 2035811.358114, lowerbound=1108058.358114, norm of subgrad 43.184487 stepsize= 1.000000
+dualbound = 2036070.580821, lowerbound=1104308.580821, norm of subgrad 1051.612372 dualbound = 2036070.580821, lowerbound=1104308.580821, norm of subgrad 42.886160 stepsize= 1.000000
+dualbound = 2036350.641813, lowerbound=1105910.641813, norm of subgrad 1052.360509 dualbound = 2036350.641813, lowerbound=1105910.641813, norm of subgrad 42.802582 stepsize= 1.000000
+dualbound = 2036631.489220, lowerbound=1106511.489220, norm of subgrad 1052.642147 dualbound = 2036631.489220, lowerbound=1106511.489220, norm of subgrad 42.718233 stepsize= 1.000000
+dualbound = 2036891.239197, lowerbound=1104981.239197, norm of subgrad 1051.876057 dualbound = 2036891.239197, lowerbound=1104981.239197, norm of subgrad 41.493975 stepsize= 1.000000
+dualbound = 2037199.800053, lowerbound=1107244.800053, norm of subgrad 1052.976163 dualbound = 2037199.800053, lowerbound=1107244.800053, norm of subgrad 42.691461 stepsize= 1.000000
+dualbound = 2037443.872559, lowerbound=1106055.872559, norm of subgrad 1052.436161 dualbound = 2037443.872559, lowerbound=1106055.872559, norm of subgrad 42.544947 stepsize= 1.000000
+dualbound = 2037733.367471, lowerbound=1104868.367471, norm of subgrad 1051.843794 dualbound = 2037733.367471, lowerbound=1104868.367471, norm of subgrad 42.385079 stepsize= 1.000000
+dualbound = 2037996.590914, lowerbound=1106769.590914, norm of subgrad 1052.739090 dualbound = 2037996.590914, lowerbound=1106769.590914, norm of subgrad 41.871511 stepsize= 1.000000
+dualbound = 2038261.347039, lowerbound=1102792.347039, norm of subgrad 1050.865999 dualbound = 2038261.347039, lowerbound=1102792.347039, norm of subgrad 42.329140 stepsize= 1.000000
+dualbound = 2038511.332199, lowerbound=1109023.332199, norm of subgrad 1053.884876 dualbound = 2038511.332199, lowerbound=1109023.332199, norm of subgrad 43.588819 stepsize= 1.000000
+dualbound = 2038764.899478, lowerbound=1105039.899478, norm of subgrad 1051.951472 dualbound = 2038764.899478, lowerbound=1105039.899478, norm of subgrad 42.609474 stepsize= 1.000000
+dualbound = 2039068.131488, lowerbound=1107405.131488, norm of subgrad 1053.031401 dualbound = 2039068.131488, lowerbound=1107405.131488, norm of subgrad 42.109761 stepsize= 1.000000
+dualbound = 2039342.980216, lowerbound=1102495.980216, norm of subgrad 1050.727834 dualbound = 2039342.980216, lowerbound=1102495.980216, norm of subgrad 42.518804 stepsize= 1.000000
+dualbound = 2039630.199609, lowerbound=1106260.199609, norm of subgrad 1052.515178 dualbound = 2039630.199609, lowerbound=1106260.199609, norm of subgrad 42.605392 stepsize= 1.000000
+dualbound = 2039877.082072, lowerbound=1103901.082072, norm of subgrad 1051.432395 dualbound = 2039877.082072, lowerbound=1103901.082072, norm of subgrad 43.079954 stepsize= 1.000000
+dualbound = 2040135.136939, lowerbound=1109640.136939, norm of subgrad 1054.160394 dualbound = 2040135.136939, lowerbound=1109640.136939, norm of subgrad 43.267249 stepsize= 1.000000
+dualbound = 2040403.230866, lowerbound=1104471.230866, norm of subgrad 1051.682096 dualbound = 2040403.230866, lowerbound=1104471.230866, norm of subgrad 42.802966 stepsize= 1.000000
+dualbound = 2040691.550974, lowerbound=1109768.550974, norm of subgrad 1054.187626 dualbound = 2040691.550974, lowerbound=1109768.550974, norm of subgrad 42.793926 stepsize= 1.000000
+dualbound = 2040978.062478, lowerbound=1100589.062478, norm of subgrad 1049.822872 dualbound = 2040978.062478, lowerbound=1100589.062478, norm of subgrad 42.726005 stepsize= 1.000000
+dualbound = 2041243.540025, lowerbound=1110395.540025, norm of subgrad 1054.487809 dualbound = 2041243.540025, lowerbound=1110395.540025, norm of subgrad 42.596685 stepsize= 1.000000
+dualbound = 2041507.490943, lowerbound=1103540.490943, norm of subgrad 1051.238075 dualbound = 2041507.490943, lowerbound=1103540.490943, norm of subgrad 42.719444 stepsize= 1.000000
+dualbound = 2041802.801007, lowerbound=1110262.801007, norm of subgrad 1054.408271 dualbound = 2041802.801007, lowerbound=1110262.801007, norm of subgrad 42.535986 stepsize= 1.000000
+dualbound = 2042037.226849, lowerbound=1104905.226849, norm of subgrad 1051.884132 dualbound = 2042037.226849, lowerbound=1104905.226849, norm of subgrad 42.301606 stepsize= 1.000000
+dualbound = 2042317.367239, lowerbound=1106269.367239, norm of subgrad 1052.508132 dualbound = 2042317.367239, lowerbound=1106269.367239, norm of subgrad 42.239086 stepsize= 1.000000
+dualbound = 2042605.236569, lowerbound=1105832.236569, norm of subgrad 1052.293798 dualbound = 2042605.236569, lowerbound=1105832.236569, norm of subgrad 42.164788 stepsize= 1.000000
+dualbound = 2042871.994237, lowerbound=1110030.994237, norm of subgrad 1054.275104 dualbound = 2042871.994237, lowerbound=1110030.994237, norm of subgrad 41.614393 stepsize= 1.000000
+dualbound = 2043145.465257, lowerbound=1102457.465257, norm of subgrad 1050.701416 dualbound = 2043145.465257, lowerbound=1102457.465257, norm of subgrad 42.302140 stepsize= 1.000000
+dualbound = 2043386.498531, lowerbound=1109961.498531, norm of subgrad 1054.301901 dualbound = 2043386.498531, lowerbound=1109961.498531, norm of subgrad 42.802258 stepsize= 1.000000
+dualbound = 2043659.296025, lowerbound=1104204.296025, norm of subgrad 1051.562787 dualbound = 2043659.296025, lowerbound=1104204.296025, norm of subgrad 43.044134 stepsize= 1.000000
+dualbound = 2043925.851443, lowerbound=1104045.851443, norm of subgrad 1051.472706 dualbound = 2043925.851443, lowerbound=1104045.851443, norm of subgrad 42.609335 stepsize= 1.000000
+dualbound = 2044196.055773, lowerbound=1106977.055773, norm of subgrad 1052.884161 dualbound = 2044196.055773, lowerbound=1106977.055773, norm of subgrad 43.106894 stepsize= 1.000000
+dualbound = 2044473.851916, lowerbound=1108672.851916, norm of subgrad 1053.662115 dualbound = 2044473.851916, lowerbound=1108672.851916, norm of subgrad 42.529944 stepsize= 1.000000
+dualbound = 2044768.471854, lowerbound=1103808.471854, norm of subgrad 1051.352211 dualbound = 2044768.471854, lowerbound=1103808.471854, norm of subgrad 42.750672 stepsize= 1.000000
+dualbound = 2044990.629754, lowerbound=1110921.629754, norm of subgrad 1054.756669 dualbound = 2044990.629754, lowerbound=1110921.629754, norm of subgrad 42.569448 stepsize= 1.000000
+dualbound = 2045289.977005, lowerbound=1105383.977005, norm of subgrad 1052.093616 dualbound = 2045289.977005, lowerbound=1105383.977005, norm of subgrad 42.618626 stepsize= 1.000000
+dualbound = 2045556.164037, lowerbound=1103894.164037, norm of subgrad 1051.392013 dualbound = 2045556.164037, lowerbound=1103894.164037, norm of subgrad 42.393243 stepsize= 1.000000
+dualbound = 2045812.702139, lowerbound=1101313.702139, norm of subgrad 1050.174606 dualbound = 2045812.702139, lowerbound=1101313.702139, norm of subgrad 42.538666 stepsize= 1.000000
+dualbound = 2046087.584451, lowerbound=1106986.584451, norm of subgrad 1052.873964 dualbound = 2046087.584451, lowerbound=1106986.584451, norm of subgrad 42.800494 stepsize= 1.000000
+dualbound = 2046347.167214, lowerbound=1108251.167214, norm of subgrad 1053.503283 dualbound = 2046347.167214, lowerbound=1108251.167214, norm of subgrad 43.331083 stepsize= 1.000000
+dualbound = 2046624.828546, lowerbound=1107511.828546, norm of subgrad 1053.126217 dualbound = 2046624.828546, lowerbound=1107511.828546, norm of subgrad 42.902929 stepsize= 1.000000
+dualbound = 2046890.250895, lowerbound=1105477.250895, norm of subgrad 1052.154576 dualbound = 2046890.250895, lowerbound=1105477.250895, norm of subgrad 42.631237 stepsize= 1.000000
+dualbound = 2047175.920933, lowerbound=1108223.920933, norm of subgrad 1053.446212 dualbound = 2047175.920933, lowerbound=1108223.920933, norm of subgrad 42.551969 stepsize= 1.000000
+dualbound = 2047468.473216, lowerbound=1105009.473216, norm of subgrad 1051.918948 dualbound = 2047468.473216, lowerbound=1105009.473216, norm of subgrad 42.621031 stepsize= 1.000000
+dualbound = 2047713.355083, lowerbound=1107688.355083, norm of subgrad 1053.254649 dualbound = 2047713.355083, lowerbound=1107688.355083, norm of subgrad 43.610571 stepsize= 1.000000
+dualbound = 2047957.791862, lowerbound=1103851.791862, norm of subgrad 1051.395164 dualbound = 2047957.791862, lowerbound=1103851.791862, norm of subgrad 42.713426 stepsize= 1.000000
+dualbound = 2048260.185155, lowerbound=1109866.185155, norm of subgrad 1054.193618 dualbound = 2048260.185155, lowerbound=1109866.185155, norm of subgrad 41.957041 stepsize= 1.000000
+dualbound = 2048553.001101, lowerbound=1108664.001101, norm of subgrad 1053.633713 dualbound = 2048553.001101, lowerbound=1108664.001101, norm of subgrad 42.104821 stepsize= 1.000000
+dualbound = 2048798.385327, lowerbound=1105621.385327, norm of subgrad 1052.202160 dualbound = 2048798.385327, lowerbound=1105621.385327, norm of subgrad 41.873431 stepsize= 1.000000
+dualbound = 2049062.790710, lowerbound=1108286.790710, norm of subgrad 1053.514495 dualbound = 2049062.790710, lowerbound=1108286.790710, norm of subgrad 43.248184 stepsize= 1.000000
+dualbound = 2049307.283838, lowerbound=1102961.283838, norm of subgrad 1050.985863 dualbound = 2049307.283838, lowerbound=1102961.283838, norm of subgrad 43.063826 stepsize= 1.000000
+dualbound = 2049584.559099, lowerbound=1106412.559099, norm of subgrad 1052.611780 dualbound = 2049584.559099, lowerbound=1106412.559099, norm of subgrad 43.084513 stepsize= 1.000000
+dualbound = 2049882.872553, lowerbound=1108129.872553, norm of subgrad 1053.400623 dualbound = 2049882.872553, lowerbound=1108129.872553, norm of subgrad 42.676849 stepsize= 1.000000
+dualbound = 2050152.011959, lowerbound=1108522.011959, norm of subgrad 1053.600499 dualbound = 2050152.011959, lowerbound=1108522.011959, norm of subgrad 42.674810 stepsize= 1.000000
+dualbound = 2050407.749139, lowerbound=1103718.749139, norm of subgrad 1051.291467 dualbound = 2050407.749139, lowerbound=1103718.749139, norm of subgrad 41.841811 stepsize= 1.000000
+dualbound = 2050698.251763, lowerbound=1109748.251763, norm of subgrad 1054.172781 dualbound = 2050698.251763, lowerbound=1109748.251763, norm of subgrad 42.690779 stepsize= 1.000000
+dualbound = 2050930.030594, lowerbound=1106464.030594, norm of subgrad 1052.644779 dualbound = 2050930.030594, lowerbound=1106464.030594, norm of subgrad 42.764224 stepsize= 1.000000
+dualbound = 2051195.568760, lowerbound=1108182.568760, norm of subgrad 1053.440824 dualbound = 2051195.568760, lowerbound=1108182.568760, norm of subgrad 42.667765 stepsize= 1.000000
+dualbound = 2051491.094523, lowerbound=1104475.094523, norm of subgrad 1051.659210 dualbound = 2051491.094523, lowerbound=1104475.094523, norm of subgrad 42.515006 stepsize= 1.000000
+dualbound = 2051754.931658, lowerbound=1107721.931658, norm of subgrad 1053.216470 dualbound = 2051754.931658, lowerbound=1107721.931658, norm of subgrad 42.506907 stepsize= 1.000000
+dualbound = 2052024.718070, lowerbound=1109847.718070, norm of subgrad 1054.220431 dualbound = 2052024.718070, lowerbound=1109847.718070, norm of subgrad 42.459232 stepsize= 1.000000
+dualbound = 2052267.511270, lowerbound=1108631.511270, norm of subgrad 1053.670969 dualbound = 2052267.511270, lowerbound=1108631.511270, norm of subgrad 42.822812 stepsize= 1.000000
+dualbound = 2052564.176973, lowerbound=1107439.176973, norm of subgrad 1053.070832 dualbound = 2052564.176973, lowerbound=1107439.176973, norm of subgrad 42.610629 stepsize= 1.000000
+dualbound = 2052783.141801, lowerbound=1107081.141801, norm of subgrad 1052.954482 dualbound = 2052783.141801, lowerbound=1107081.141801, norm of subgrad 43.022841 stepsize= 1.000000
+dualbound = 2053064.160037, lowerbound=1109130.160037, norm of subgrad 1053.894283 dualbound = 2053064.160037, lowerbound=1109130.160037, norm of subgrad 42.942033 stepsize= 1.000000
+dualbound = 2053364.681603, lowerbound=1108041.681603, norm of subgrad 1053.352591 dualbound = 2053364.681603, lowerbound=1108041.681603, norm of subgrad 42.550224 stepsize= 1.000000
+dualbound = 2053615.371708, lowerbound=1106265.371708, norm of subgrad 1052.492932 dualbound = 2053615.371708, lowerbound=1106265.371708, norm of subgrad 41.553461 stepsize= 1.000000
+dualbound = 2053903.577707, lowerbound=1106555.577707, norm of subgrad 1052.664988 dualbound = 2053903.577707, lowerbound=1106555.577707, norm of subgrad 42.850974 stepsize= 1.000000
+dualbound = 2054156.937976, lowerbound=1109815.937976, norm of subgrad 1054.212473 dualbound = 2054156.937976, lowerbound=1109815.937976, norm of subgrad 42.442435 stepsize= 1.000000
+dualbound = 2054419.316351, lowerbound=1108634.316351, norm of subgrad 1053.646201 dualbound = 2054419.316351, lowerbound=1108634.316351, norm of subgrad 42.407292 stepsize= 1.000000
+dualbound = 2054704.288450, lowerbound=1107038.288450, norm of subgrad 1052.895193 dualbound = 2054704.288450, lowerbound=1107038.288450, norm of subgrad 42.836574 stepsize= 1.000000
+dualbound = 2054934.186307, lowerbound=1106123.186307, norm of subgrad 1052.433934 dualbound = 2054934.186307, lowerbound=1106123.186307, norm of subgrad 41.519849 stepsize= 1.000000
+dualbound = 2055253.878664, lowerbound=1105976.878664, norm of subgrad 1052.355396 dualbound = 2055253.878664, lowerbound=1105976.878664, norm of subgrad 42.363810 stepsize= 1.000000
+dualbound = 2055486.628448, lowerbound=1113232.628448, norm of subgrad 1055.829356 dualbound = 2055486.628448, lowerbound=1113232.628448, norm of subgrad 42.139646 stepsize= 1.000000
+dualbound = 2055745.102508, lowerbound=1105997.102508, norm of subgrad 1052.438170 dualbound = 2055745.102508, lowerbound=1105997.102508, norm of subgrad 43.445069 stepsize= 1.000000
+dualbound = 2055970.913663, lowerbound=1107843.913663, norm of subgrad 1053.338936 dualbound = 2055970.913663, lowerbound=1107843.913663, norm of subgrad 43.644142 stepsize= 1.000000
+dualbound = 2056270.529332, lowerbound=1105740.529332, norm of subgrad 1052.277781 dualbound = 2056270.529332, lowerbound=1105740.529332, norm of subgrad 42.983900 stepsize= 1.000000
+dualbound = 2056539.843072, lowerbound=1108743.843072, norm of subgrad 1053.736135 dualbound = 2056539.843072, lowerbound=1108743.843072, norm of subgrad 43.420200 stepsize= 1.000000
+dualbound = 2056791.612077, lowerbound=1107968.612077, norm of subgrad 1053.358729 dualbound = 2056791.612077, lowerbound=1107968.612077, norm of subgrad 42.985684 stepsize= 1.000000
+dualbound = 2057081.003279, lowerbound=1107914.003279, norm of subgrad 1053.294832 dualbound = 2057081.003279, lowerbound=1107914.003279, norm of subgrad 42.489895 stepsize= 1.000000
+dualbound = 2057362.425886, lowerbound=1109452.425886, norm of subgrad 1054.027242 dualbound = 2057362.425886, lowerbound=1109452.425886, norm of subgrad 42.454948 stepsize= 1.000000
+dualbound = 2057594.733474, lowerbound=1111093.733474, norm of subgrad 1054.817867 dualbound = 2057594.733474, lowerbound=1111093.733474, norm of subgrad 42.181840 stepsize= 1.000000
+dualbound = 2057893.494360, lowerbound=1106507.494360, norm of subgrad 1052.632649 dualbound = 2057893.494360, lowerbound=1106507.494360, norm of subgrad 42.740623 stepsize= 1.000000
+dualbound = 2058132.779273, lowerbound=1107613.779273, norm of subgrad 1053.157528 dualbound = 2058132.779273, lowerbound=1107613.779273, norm of subgrad 42.027193 stepsize= 1.000000
+dualbound = 2058445.577188, lowerbound=1106022.577188, norm of subgrad 1052.403239 dualbound = 2058445.577188, lowerbound=1106022.577188, norm of subgrad 42.927822 stepsize= 1.000000
+dualbound = 2058640.815093, lowerbound=1108609.815093, norm of subgrad 1053.654979 dualbound = 2058640.815093, lowerbound=1108609.815093, norm of subgrad 42.121703 stepsize= 1.000000
+dualbound = 2058948.590046, lowerbound=1108468.590046, norm of subgrad 1053.563757 dualbound = 2058948.590046, lowerbound=1108468.590046, norm of subgrad 42.845944 stepsize= 1.000000
+dualbound = 2059182.829710, lowerbound=1110813.829710, norm of subgrad 1054.711254 dualbound = 2059182.829710, lowerbound=1110813.829710, norm of subgrad 42.851367 stepsize= 1.000000
+dualbound = 2059442.030009, lowerbound=1107930.030009, norm of subgrad 1053.352757 dualbound = 2059442.030009, lowerbound=1107930.030009, norm of subgrad 43.372806 stepsize= 1.000000
+dualbound = 2059721.426287, lowerbound=1107698.426287, norm of subgrad 1053.211007 dualbound = 2059721.426287, lowerbound=1107698.426287, norm of subgrad 42.829853 stepsize= 1.000000
+dualbound = 2059999.404991, lowerbound=1106953.404991, norm of subgrad 1052.868180 dualbound = 2059999.404991, lowerbound=1106953.404991, norm of subgrad 43.081071 stepsize= 1.000000
+dualbound = 2060243.880200, lowerbound=1110150.880200, norm of subgrad 1054.387443 dualbound = 2060243.880200, lowerbound=1110150.880200, norm of subgrad 42.737281 stepsize= 1.000000
+dualbound = 2060540.294548, lowerbound=1107687.294548, norm of subgrad 1053.209521 dualbound = 2060540.294548, lowerbound=1107687.294548, norm of subgrad 43.120927 stepsize= 1.000000
+dualbound = 2060782.910525, lowerbound=1107679.910525, norm of subgrad 1053.187025 dualbound = 2060782.910525, lowerbound=1107679.910525, norm of subgrad 42.019233 stepsize= 1.000000
+dualbound = 2061067.193812, lowerbound=1111161.193812, norm of subgrad 1054.820456 dualbound = 2061067.193812, lowerbound=1111161.193812, norm of subgrad 42.062849 stepsize= 1.000000
+dualbound = 2061325.587640, lowerbound=1104896.587640, norm of subgrad 1051.844850 dualbound = 2061325.587640, lowerbound=1104896.587640, norm of subgrad 41.706041 stepsize= 1.000000
+dualbound = 2061592.316917, lowerbound=1109062.316917, norm of subgrad 1053.830782 dualbound = 2061592.316917, lowerbound=1109062.316917, norm of subgrad 41.996777 stepsize= 1.000000
+dualbound = 2061871.715195, lowerbound=1103944.715195, norm of subgrad 1051.437452 dualbound = 2061871.715195, lowerbound=1103944.715195, norm of subgrad 43.074334 stepsize= 1.000000
+dualbound = 2062084.103338, lowerbound=1111381.103338, norm of subgrad 1054.976352 dualbound = 2062084.103338, lowerbound=1111381.103338, norm of subgrad 42.501625 stepsize= 1.000000
+dualbound = 2062387.648797, lowerbound=1109793.648797, norm of subgrad 1054.221347 dualbound = 2062387.648797, lowerbound=1109793.648797, norm of subgrad 43.503396 stepsize= 1.000000
+dualbound = 2062629.322342, lowerbound=1108968.322342, norm of subgrad 1053.821295 dualbound = 2062629.322342, lowerbound=1108968.322342, norm of subgrad 42.575504 stepsize= 1.000000
+dualbound = 2062896.761673, lowerbound=1111423.761673, norm of subgrad 1054.981877 dualbound = 2062896.761673, lowerbound=1111423.761673, norm of subgrad 42.783634 stepsize= 1.000000
+dualbound = 2063177.645622, lowerbound=1105766.645622, norm of subgrad 1052.269759 dualbound = 2063177.645622, lowerbound=1105766.645622, norm of subgrad 42.259720 stepsize= 1.000000
+dualbound = 2063438.716315, lowerbound=1106493.716315, norm of subgrad 1052.606629 dualbound = 2063438.716315, lowerbound=1106493.716315, norm of subgrad 41.809935 stepsize= 1.000000
+dualbound = 2063717.025517, lowerbound=1109827.025517, norm of subgrad 1054.205400 dualbound = 2063717.025517, lowerbound=1109827.025517, norm of subgrad 42.430051 stepsize= 1.000000
+dualbound = 2063993.953484, lowerbound=1108307.953484, norm of subgrad 1053.461415 dualbound = 2063993.953484, lowerbound=1108307.953484, norm of subgrad 41.832140 stepsize= 1.000000
+dualbound = 2064253.564051, lowerbound=1108283.564051, norm of subgrad 1053.490182 dualbound = 2064253.564051, lowerbound=1108283.564051, norm of subgrad 42.633444 stepsize= 1.000000
+dualbound = 2064504.991660, lowerbound=1111072.991660, norm of subgrad 1054.789549 dualbound = 2064504.991660, lowerbound=1111072.991660, norm of subgrad 41.945531 stepsize= 1.000000
+dualbound = 2064788.294390, lowerbound=1105382.294390, norm of subgrad 1052.072381 dualbound = 2064788.294390, lowerbound=1105382.294390, norm of subgrad 41.920195 stepsize= 1.000000
+dualbound = 2065041.901125, lowerbound=1109426.901125, norm of subgrad 1054.021300 dualbound = 2065041.901125, lowerbound=1109426.901125, norm of subgrad 42.280099 stepsize= 1.000000
+dualbound = 2065301.266361, lowerbound=1105386.266361, norm of subgrad 1052.139851 dualbound = 2065301.266361, lowerbound=1105386.266361, norm of subgrad 43.259279 stepsize= 1.000000
+dualbound = 2065521.306689, lowerbound=1112272.306689, norm of subgrad 1055.401965 dualbound = 2065521.306689, lowerbound=1112272.306689, norm of subgrad 42.673649 stepsize= 1.000000
+dualbound = 2065786.626510, lowerbound=1111450.626510, norm of subgrad 1055.008354 dualbound = 2065786.626510, lowerbound=1111450.626510, norm of subgrad 43.096634 stepsize= 1.000000
+dualbound = 2066070.736887, lowerbound=1109148.736887, norm of subgrad 1053.895506 dualbound = 2066070.736887, lowerbound=1109148.736887, norm of subgrad 42.791476 stepsize= 1.000000
+dualbound = 2066348.103398, lowerbound=1109167.103398, norm of subgrad 1053.893782 dualbound = 2066348.103398, lowerbound=1109167.103398, norm of subgrad 42.454287 stepsize= 1.000000
+dualbound = 2066620.287173, lowerbound=1107417.287173, norm of subgrad 1053.068985 dualbound = 2066620.287173, lowerbound=1107417.287173, norm of subgrad 42.534501 stepsize= 1.000000
+dualbound = 2066868.576769, lowerbound=1110148.576769, norm of subgrad 1054.357424 dualbound = 2066868.576769, lowerbound=1110148.576769, norm of subgrad 42.062924 stepsize= 1.000000
+dualbound = 2067149.910151, lowerbound=1107759.910151, norm of subgrad 1053.206015 dualbound = 2067149.910151, lowerbound=1107759.910151, norm of subgrad 42.003969 stepsize= 1.000000
+dualbound = 2067415.559391, lowerbound=1107254.559391, norm of subgrad 1052.980797 dualbound = 2067415.559391, lowerbound=1107254.559391, norm of subgrad 42.185889 stepsize= 1.000000
+dualbound = 2067645.910989, lowerbound=1106753.910989, norm of subgrad 1052.761564 dualbound = 2067645.910989, lowerbound=1106753.910989, norm of subgrad 42.229748 stepsize= 1.000000
+dualbound = 2067935.202028, lowerbound=1111240.202028, norm of subgrad 1054.862172 dualbound = 2067935.202028, lowerbound=1111240.202028, norm of subgrad 42.229031 stepsize= 1.000000
+dualbound = 2068203.472509, lowerbound=1108838.472509, norm of subgrad 1053.733587 dualbound = 2068203.472509, lowerbound=1108838.472509, norm of subgrad 42.240626 stepsize= 1.000000
+dualbound = 2068425.643831, lowerbound=1112973.643831, norm of subgrad 1055.759747 dualbound = 2068425.643831, lowerbound=1112973.643831, norm of subgrad 43.326335 stepsize= 1.000000
+dualbound = 2068687.122739, lowerbound=1108199.122739, norm of subgrad 1053.457224 dualbound = 2068687.122739, lowerbound=1108199.122739, norm of subgrad 42.830817 stepsize= 1.000000
+dualbound = 2068966.135961, lowerbound=1111839.135961, norm of subgrad 1055.155977 dualbound = 2068966.135961, lowerbound=1111839.135961, norm of subgrad 42.355793 stepsize= 1.000000
+dualbound = 2069254.107933, lowerbound=1109071.107933, norm of subgrad 1053.852982 dualbound = 2069254.107933, lowerbound=1109071.107933, norm of subgrad 42.696276 stepsize= 1.000000
+dualbound = 2069486.369717, lowerbound=1108192.369717, norm of subgrad 1053.451171 dualbound = 2069486.369717, lowerbound=1108192.369717, norm of subgrad 42.417706 stepsize= 1.000000
+dualbound = 2069777.160921, lowerbound=1107503.160921, norm of subgrad 1053.090291 dualbound = 2069777.160921, lowerbound=1107503.160921, norm of subgrad 42.270453 stepsize= 1.000000
+dualbound = 2070021.267621, lowerbound=1111936.267621, norm of subgrad 1055.202477 dualbound = 2070021.267621, lowerbound=1111936.267621, norm of subgrad 41.953626 stepsize= 1.000000
+dualbound = 2070292.881887, lowerbound=1108650.881887, norm of subgrad 1053.615149 dualbound = 2070292.881887, lowerbound=1108650.881887, norm of subgrad 41.540514 stepsize= 1.000000
+dualbound = 2070576.670984, lowerbound=1108651.670984, norm of subgrad 1053.648267 dualbound = 2070576.670984, lowerbound=1108651.670984, norm of subgrad 42.506342 stepsize= 1.000000
+dualbound = 2070779.106769, lowerbound=1107949.106769, norm of subgrad 1053.340452 dualbound = 2070779.106769, lowerbound=1107949.106769, norm of subgrad 42.183359 stepsize= 1.000000
+dualbound = 2071063.045174, lowerbound=1110812.045174, norm of subgrad 1054.677223 dualbound = 2071063.045174, lowerbound=1110812.045174, norm of subgrad 42.613829 stepsize= 1.000000
+dualbound = 2071322.385158, lowerbound=1108678.385158, norm of subgrad 1053.660944 dualbound = 2071322.385158, lowerbound=1108678.385158, norm of subgrad 42.217769 stepsize= 1.000000
+dualbound = 2071619.791884, lowerbound=1109366.791884, norm of subgrad 1053.985195 dualbound = 2071619.791884, lowerbound=1109366.791884, norm of subgrad 42.607590 stepsize= 1.000000
+dualbound = 2071852.452522, lowerbound=1109634.452522, norm of subgrad 1054.112163 dualbound = 2071852.452522, lowerbound=1109634.452522, norm of subgrad 41.840897 stepsize= 1.000000
+dualbound = 2072127.434232, lowerbound=1107348.434232, norm of subgrad 1053.019674 dualbound = 2072127.434232, lowerbound=1107348.434232, norm of subgrad 42.154261 stepsize= 1.000000
+dualbound = 2072367.544774, lowerbound=1111949.544774, norm of subgrad 1055.210190 dualbound = 2072367.544774, lowerbound=1111949.544774, norm of subgrad 41.941752 stepsize= 1.000000
+dualbound = 2072652.564702, lowerbound=1107711.564702, norm of subgrad 1053.196831 dualbound = 2072652.564702, lowerbound=1107711.564702, norm of subgrad 42.391272 stepsize= 1.000000
+dualbound = 2072900.732425, lowerbound=1110471.732425, norm of subgrad 1054.513031 dualbound = 2072900.732425, lowerbound=1110471.732425, norm of subgrad 42.120870 stepsize= 1.000000
+dualbound = 2073164.350421, lowerbound=1109609.350421, norm of subgrad 1054.134882 dualbound = 2073164.350421, lowerbound=1109609.350421, norm of subgrad 43.065276 stepsize= 1.000000
+dualbound = 2073432.630334, lowerbound=1108893.630334, norm of subgrad 1053.752642 dualbound = 2073432.630334, lowerbound=1108893.630334, norm of subgrad 42.062809 stepsize= 1.000000
+dualbound = 2073703.506111, lowerbound=1109081.506111, norm of subgrad 1053.845105 dualbound = 2073703.506111, lowerbound=1109081.506111, norm of subgrad 42.176721 stepsize= 1.000000
+dualbound = 2073955.717106, lowerbound=1109134.717106, norm of subgrad 1053.904036 dualbound = 2073955.717106, lowerbound=1109134.717106, norm of subgrad 42.792651 stepsize= 1.000000
+dualbound = 2074217.478141, lowerbound=1110240.478141, norm of subgrad 1054.417601 dualbound = 2074217.478141, lowerbound=1110240.478141, norm of subgrad 42.635209 stepsize= 1.000000
+dualbound = 2074459.359955, lowerbound=1109044.359955, norm of subgrad 1053.849781 dualbound = 2074459.359955, lowerbound=1109044.359955, norm of subgrad 42.389643 stepsize= 1.000000
+dualbound = 2074736.119504, lowerbound=1108830.119504, norm of subgrad 1053.737216 dualbound = 2074736.119504, lowerbound=1108830.119504, norm of subgrad 42.529514 stepsize= 1.000000
+dualbound = 2075010.295545, lowerbound=1111191.295545, norm of subgrad 1054.856528 dualbound = 2075010.295545, lowerbound=1111191.295545, norm of subgrad 42.487363 stepsize= 1.000000
+dualbound = 2075278.555558, lowerbound=1111003.555558, norm of subgrad 1054.797874 dualbound = 2075278.555558, lowerbound=1111003.555558, norm of subgrad 43.165496 stepsize= 1.000000
+dualbound = 2075513.262036, lowerbound=1108845.262036, norm of subgrad 1053.792324 dualbound = 2075513.262036, lowerbound=1108845.262036, norm of subgrad 43.216970 stepsize= 1.000000
+dualbound = 2075792.756606, lowerbound=1109443.756606, norm of subgrad 1054.018385 dualbound = 2075792.756606, lowerbound=1109443.756606, norm of subgrad 42.314236 stepsize= 1.000000
+dualbound = 2076072.297908, lowerbound=1109547.297908, norm of subgrad 1054.051373 dualbound = 2076072.297908, lowerbound=1109547.297908, norm of subgrad 41.911112 stepsize= 1.000000
+dualbound = 2076317.300236, lowerbound=1109897.300236, norm of subgrad 1054.233987 dualbound = 2076317.300236, lowerbound=1109897.300236, norm of subgrad 41.916612 stepsize= 1.000000
+dualbound = 2076568.513778, lowerbound=1114035.513778, norm of subgrad 1056.184413 dualbound = 2076568.513778, lowerbound=1114035.513778, norm of subgrad 41.727851 stepsize= 1.000000
+dualbound = 2076831.418319, lowerbound=1109138.418319, norm of subgrad 1053.891085 dualbound = 2076831.418319, lowerbound=1109138.418319, norm of subgrad 42.554724 stepsize= 1.000000
+dualbound = 2077089.966506, lowerbound=1111896.966506, norm of subgrad 1055.169639 dualbound = 2077089.966506, lowerbound=1111896.966506, norm of subgrad 41.767789 stepsize= 1.000000
+dualbound = 2077367.795947, lowerbound=1107160.795947, norm of subgrad 1052.946720 dualbound = 2077367.795947, lowerbound=1107160.795947, norm of subgrad 42.589077 stepsize= 1.000000
+dualbound = 2077601.223358, lowerbound=1112179.223358, norm of subgrad 1055.336071 dualbound = 2077601.223358, lowerbound=1112179.223358, norm of subgrad 42.289803 stepsize= 1.000000
+dualbound = 2077855.398188, lowerbound=1110341.398188, norm of subgrad 1054.482526 dualbound = 2077855.398188, lowerbound=1110341.398188, norm of subgrad 42.967137 stepsize= 1.000000
+dualbound = 2078110.095960, lowerbound=1109145.095960, norm of subgrad 1053.907062 dualbound = 2078110.095960, lowerbound=1109145.095960, norm of subgrad 42.774967 stepsize= 1.000000
+dualbound = 2078373.268920, lowerbound=1107942.268920, norm of subgrad 1053.357142 dualbound = 2078373.268920, lowerbound=1107942.268920, norm of subgrad 43.384017 stepsize= 1.000000
+dualbound = 2078651.142537, lowerbound=1113617.142537, norm of subgrad 1056.021374 dualbound = 2078651.142537, lowerbound=1113617.142537, norm of subgrad 42.917055 stepsize= 1.000000
+dualbound = 2078917.929412, lowerbound=1106859.929412, norm of subgrad 1052.806216 dualbound = 2078917.929412, lowerbound=1106859.929412, norm of subgrad 42.518077 stepsize= 1.000000
+dualbound = 2079169.109829, lowerbound=1113894.109829, norm of subgrad 1056.154397 dualbound = 2079169.109829, lowerbound=1113894.109829, norm of subgrad 42.651851 stepsize= 1.000000
+dualbound = 2079433.436980, lowerbound=1108831.436980, norm of subgrad 1053.751601 dualbound = 2079433.436980, lowerbound=1108831.436980, norm of subgrad 42.723848 stepsize= 1.000000
+dualbound = 2079679.353070, lowerbound=1112281.353070, norm of subgrad 1055.388721 dualbound = 2079679.353070, lowerbound=1112281.353070, norm of subgrad 42.543109 stepsize= 1.000000
+dualbound = 2079950.043168, lowerbound=1110799.043168, norm of subgrad 1054.673430 dualbound = 2079950.043168, lowerbound=1110799.043168, norm of subgrad 42.516939 stepsize= 1.000000
+dualbound = 2080206.545438, lowerbound=1111859.545438, norm of subgrad 1055.180812 dualbound = 2080206.545438, lowerbound=1111859.545438, norm of subgrad 42.467661 stepsize= 1.000000
+dualbound = 2080488.424241, lowerbound=1107216.424241, norm of subgrad 1052.963639 dualbound = 2080488.424241, lowerbound=1107216.424241, norm of subgrad 42.401401 stepsize= 1.000000
+dualbound = 2080727.413394, lowerbound=1110013.413394, norm of subgrad 1054.335057 dualbound = 2080727.413394, lowerbound=1110013.413394, norm of subgrad 42.988244 stepsize= 1.000000
+dualbound = 2080982.218460, lowerbound=1110615.218460, norm of subgrad 1054.585330 dualbound = 2080982.218460, lowerbound=1110615.218460, norm of subgrad 42.306088 stepsize= 1.000000
+dualbound = 2081264.961383, lowerbound=1112425.961383, norm of subgrad 1055.416961 dualbound = 2081264.961383, lowerbound=1112425.961383, norm of subgrad 41.973121 stepsize= 1.000000
+dualbound = 2081526.465940, lowerbound=1108507.465940, norm of subgrad 1053.590274 dualbound = 2081526.465940, lowerbound=1108507.465940, norm of subgrad 42.502995 stepsize= 1.000000
+dualbound = 2081731.651209, lowerbound=1111021.651209, norm of subgrad 1054.820673 dualbound = 2081731.651209, lowerbound=1111021.651209, norm of subgrad 42.780665 stepsize= 1.000000
+dualbound = 2082019.210356, lowerbound=1112653.210356, norm of subgrad 1055.513245 dualbound = 2082019.210356, lowerbound=1112653.210356, norm of subgrad 41.743971 stepsize= 1.000000
+dualbound = 2082297.505297, lowerbound=1105999.505297, norm of subgrad 1052.397503 dualbound = 2082297.505297, lowerbound=1105999.505297, norm of subgrad 42.653194 stepsize= 1.000000
+dualbound = 2082533.858488, lowerbound=1113234.858488, norm of subgrad 1055.840830 dualbound = 2082533.858488, lowerbound=1113234.858488, norm of subgrad 42.442351 stepsize= 1.000000
+dualbound = 2082797.007544, lowerbound=1113582.007544, norm of subgrad 1055.975382 dualbound = 2082797.007544, lowerbound=1113582.007544, norm of subgrad 42.013677 stepsize= 1.000000
+dualbound = 2083048.467994, lowerbound=1108796.467994, norm of subgrad 1053.711758 dualbound = 2083048.467994, lowerbound=1108796.467994, norm of subgrad 41.993576 stepsize= 1.000000
+dualbound = 2083331.186535, lowerbound=1109783.186535, norm of subgrad 1054.175121 dualbound = 2083331.186535, lowerbound=1109783.186535, norm of subgrad 42.245929 stepsize= 1.000000
+dualbound = 2083554.442576, lowerbound=1108390.442576, norm of subgrad 1053.569857 dualbound = 2083554.442576, lowerbound=1108390.442576, norm of subgrad 42.921510 stepsize= 1.000000
+dualbound = 2083816.145617, lowerbound=1114110.145617, norm of subgrad 1056.253826 dualbound = 2083816.145617, lowerbound=1114110.145617, norm of subgrad 42.704836 stepsize= 1.000000
+dualbound = 2084081.272274, lowerbound=1113685.272274, norm of subgrad 1056.060733 dualbound = 2084081.272274, lowerbound=1113685.272274, norm of subgrad 42.943296 stepsize= 1.000000
+dualbound = 2084322.595629, lowerbound=1111637.595629, norm of subgrad 1055.085113 dualbound = 2084322.595629, lowerbound=1111637.595629, norm of subgrad 42.524385 stepsize= 1.000000
+dualbound = 2084615.660656, lowerbound=1114434.660656, norm of subgrad 1056.361520 dualbound = 2084615.660656, lowerbound=1114434.660656, norm of subgrad 41.929286 stepsize= 1.000000
+dualbound = 2084872.199378, lowerbound=1111796.199378, norm of subgrad 1055.121415 dualbound = 2084872.199378, lowerbound=1111796.199378, norm of subgrad 41.731747 stepsize= 1.000000
+dualbound = 2085106.742728, lowerbound=1111901.742728, norm of subgrad 1055.215496 dualbound = 2085106.742728, lowerbound=1111901.742728, norm of subgrad 42.573975 stepsize= 1.000000
+dualbound = 2085393.358667, lowerbound=1106355.358667, norm of subgrad 1052.558957 dualbound = 2085393.358667, lowerbound=1106355.358667, norm of subgrad 42.563082 stepsize= 1.000000
+dualbound = 2085658.392777, lowerbound=1112013.392777, norm of subgrad 1055.208222 dualbound = 2085658.392777, lowerbound=1112013.392777, norm of subgrad 41.425042 stepsize= 1.000000
+dualbound = 2085914.440115, lowerbound=1107781.440115, norm of subgrad 1053.212913 dualbound = 2085914.440115, lowerbound=1107781.440115, norm of subgrad 41.617873 stepsize= 1.000000
+dualbound = 2086168.809684, lowerbound=1115624.809684, norm of subgrad 1056.936994 dualbound = 2086168.809684, lowerbound=1115624.809684, norm of subgrad 41.777620 stepsize= 1.000000
+dualbound = 2086427.083157, lowerbound=1110380.083157, norm of subgrad 1054.452030 dualbound = 2086427.083157, lowerbound=1110380.083157, norm of subgrad 41.800400 stepsize= 1.000000
+dualbound = 2086656.084276, lowerbound=1112424.084276, norm of subgrad 1055.462972 dualbound = 2086656.084276, lowerbound=1112424.084276, norm of subgrad 42.508836 stepsize= 1.000000
+dualbound = 2086907.799903, lowerbound=1111357.799903, norm of subgrad 1054.913646 dualbound = 2086907.799903, lowerbound=1111357.799903, norm of subgrad 41.673920 stepsize= 1.000000
+dualbound = 2087203.572951, lowerbound=1112162.572951, norm of subgrad 1055.313969 dualbound = 2087203.572951, lowerbound=1112162.572951, norm of subgrad 42.670517 stepsize= 1.000000
+dualbound = 2087425.704906, lowerbound=1111185.704906, norm of subgrad 1054.860040 dualbound = 2087425.704906, lowerbound=1111185.704906, norm of subgrad 42.025373 stepsize= 1.000000
+dualbound = 2087706.376435, lowerbound=1112049.376435, norm of subgrad 1055.259388 dualbound = 2087706.376435, lowerbound=1112049.376435, norm of subgrad 42.469654 stepsize= 1.000000
+dualbound = 2087935.942358, lowerbound=1115136.942358, norm of subgrad 1056.751126 dualbound = 2087935.942358, lowerbound=1115136.942358, norm of subgrad 42.609458 stepsize= 1.000000
+dualbound = 2088205.009495, lowerbound=1108974.009495, norm of subgrad 1053.808811 dualbound = 2088205.009495, lowerbound=1108974.009495, norm of subgrad 42.521373 stepsize= 1.000000
+dualbound = 2088484.605161, lowerbound=1113589.605161, norm of subgrad 1055.972824 dualbound = 2088484.605161, lowerbound=1113589.605161, norm of subgrad 42.054675 stepsize= 1.000000
+dualbound = 2088733.502052, lowerbound=1109038.502052, norm of subgrad 1053.874519 dualbound = 2088733.502052, lowerbound=1109038.502052, norm of subgrad 43.149703 stepsize= 1.000000
+dualbound = 2088945.608008, lowerbound=1116320.608008, norm of subgrad 1057.293057 dualbound = 2088945.608008, lowerbound=1116320.608008, norm of subgrad 41.953617 stepsize= 1.000000
+dualbound = 2089255.278297, lowerbound=1110450.278297, norm of subgrad 1054.503333 dualbound = 2089255.278297, lowerbound=1110450.278297, norm of subgrad 42.856391 stepsize= 1.000000
+dualbound = 2089486.699699, lowerbound=1115470.699699, norm of subgrad 1056.868819 dualbound = 2089486.699699, lowerbound=1115470.699699, norm of subgrad 41.622367 stepsize= 1.000000
+dualbound = 2089778.125611, lowerbound=1110637.125611, norm of subgrad 1054.569640 dualbound = 2089778.125611, lowerbound=1110637.125611, norm of subgrad 42.088311 stepsize= 1.000000
+dualbound = 2090002.054402, lowerbound=1111281.054402, norm of subgrad 1054.900021 dualbound = 2090002.054402, lowerbound=1111281.054402, norm of subgrad 41.915734 stepsize= 1.000000
+dualbound = 2090265.980601, lowerbound=1112182.980601, norm of subgrad 1055.333587 dualbound = 2090265.980601, lowerbound=1112182.980601, norm of subgrad 42.543227 stepsize= 1.000000
+dualbound = 2090540.516330, lowerbound=1110496.516330, norm of subgrad 1054.536162 dualbound = 2090540.516330, lowerbound=1110496.516330, norm of subgrad 42.714585 stepsize= 1.000000
+dualbound = 2090783.532040, lowerbound=1109006.532040, norm of subgrad 1053.836577 dualbound = 2090783.532040, lowerbound=1109006.532040, norm of subgrad 42.520768 stepsize= 1.000000
+dualbound = 2091035.918263, lowerbound=1113681.918263, norm of subgrad 1056.038786 dualbound = 2091035.918263, lowerbound=1113681.918263, norm of subgrad 42.289316 stepsize= 1.000000
+dualbound = 2091317.652668, lowerbound=1111054.652668, norm of subgrad 1054.791284 dualbound = 2091317.652668, lowerbound=1111054.652668, norm of subgrad 42.564474 stepsize= 1.000000
+dualbound = 2091564.515005, lowerbound=1114416.515005, norm of subgrad 1056.355771 dualbound = 2091564.515005, lowerbound=1114416.515005, norm of subgrad 41.447103 stepsize= 1.000000
+dualbound = 2091809.290084, lowerbound=1110961.290084, norm of subgrad 1054.742286 dualbound = 2091809.290084, lowerbound=1110961.290084, norm of subgrad 42.009226 stepsize= 1.000000
+dualbound = 2092061.015556, lowerbound=1113736.015556, norm of subgrad 1056.036939 dualbound = 2092061.015556, lowerbound=1113736.015556, norm of subgrad 41.589968 stepsize= 1.000000
+dualbound = 2092345.663492, lowerbound=1111332.663492, norm of subgrad 1054.905523 dualbound = 2092345.663492, lowerbound=1111332.663492, norm of subgrad 42.162162 stepsize= 1.000000
+dualbound = 2092563.180044, lowerbound=1109614.180044, norm of subgrad 1054.123892 dualbound = 2092563.180044, lowerbound=1109614.180044, norm of subgrad 42.196168 stepsize= 1.000000
+dualbound = 2092839.023529, lowerbound=1114912.023529, norm of subgrad 1056.628612 dualbound = 2092839.023529, lowerbound=1114912.023529, norm of subgrad 42.753286 stepsize= 1.000000
+dualbound = 2093097.295959, lowerbound=1111743.295959, norm of subgrad 1055.107244 dualbound = 2093097.295959, lowerbound=1111743.295959, norm of subgrad 42.027044 stepsize= 1.000000
+dualbound = 2093375.503362, lowerbound=1113361.503362, norm of subgrad 1055.880440 dualbound = 2093375.503362, lowerbound=1113361.503362, norm of subgrad 42.428851 stepsize= 1.000000
+dualbound = 2093595.023269, lowerbound=1109462.023269, norm of subgrad 1054.078756 dualbound = 2093595.023269, lowerbound=1109462.023269, norm of subgrad 42.889625 stepsize= 1.000000
+dualbound = 2093864.812372, lowerbound=1113528.812372, norm of subgrad 1055.963926 dualbound = 2093864.812372, lowerbound=1113528.812372, norm of subgrad 42.435706 stepsize= 1.000000
+dualbound = 2094130.973711, lowerbound=1112562.973711, norm of subgrad 1055.503185 dualbound = 2094130.973711, lowerbound=1112562.973711, norm of subgrad 42.310298 stepsize= 1.000000
+dualbound = 2094401.457471, lowerbound=1115978.457471, norm of subgrad 1057.109009 dualbound = 2094401.457471, lowerbound=1115978.457471, norm of subgrad 42.088998 stepsize= 1.000000
+dualbound = 2094646.672345, lowerbound=1111954.672345, norm of subgrad 1055.190349 dualbound = 2094646.672345, lowerbound=1111954.672345, norm of subgrad 41.439291 stepsize= 1.000000
+dualbound = 2094924.215517, lowerbound=1111549.215517, norm of subgrad 1055.018585 dualbound = 2094924.215517, lowerbound=1111549.215517, norm of subgrad 42.338436 stepsize= 1.000000
+dualbound = 2095173.557490, lowerbound=1114199.557490, norm of subgrad 1056.247867 dualbound = 2095173.557490, lowerbound=1114199.557490, norm of subgrad 41.344189 stepsize= 1.000000
+dualbound = 2095415.972970, lowerbound=1112896.972970, norm of subgrad 1055.662812 dualbound = 2095415.972970, lowerbound=1112896.972970, norm of subgrad 42.064421 stepsize= 1.000000
+dualbound = 2095680.517777, lowerbound=1111835.517777, norm of subgrad 1055.151893 dualbound = 2095680.517777, lowerbound=1111835.517777, norm of subgrad 42.125346 stepsize= 1.000000
+dualbound = 2095927.076530, lowerbound=1112135.076530, norm of subgrad 1055.303310 dualbound = 2095927.076530, lowerbound=1112135.076530, norm of subgrad 42.149244 stepsize= 1.000000
+dualbound = 2096158.897238, lowerbound=1118110.897238, norm of subgrad 1058.149279 dualbound = 2096158.897238, lowerbound=1118110.897238, norm of subgrad 42.436078 stepsize= 1.000000
+dualbound = 2096418.036049, lowerbound=1109888.036049, norm of subgrad 1054.227222 dualbound = 2096418.036049, lowerbound=1109888.036049, norm of subgrad 42.025454 stepsize= 1.000000
+dualbound = 2096679.720869, lowerbound=1111828.720869, norm of subgrad 1055.159097 dualbound = 2096679.720869, lowerbound=1111828.720869, norm of subgrad 42.351916 stepsize= 1.000000
+dualbound = 2096930.359094, lowerbound=1111625.359094, norm of subgrad 1055.073627 dualbound = 2096930.359094, lowerbound=1111625.359094, norm of subgrad 42.492802 stepsize= 1.000000
+dualbound = 2097172.713864, lowerbound=1115001.713864, norm of subgrad 1056.659223 dualbound = 2097172.713864, lowerbound=1115001.713864, norm of subgrad 42.063699 stepsize= 1.000000
+dualbound = 2097448.097843, lowerbound=1113060.097843, norm of subgrad 1055.719232 dualbound = 2097448.097843, lowerbound=1113060.097843, norm of subgrad 41.933089 stepsize= 1.000000
+dualbound = 2097733.659487, lowerbound=1109871.659487, norm of subgrad 1054.189575 dualbound = 2097733.659487, lowerbound=1109871.659487, norm of subgrad 41.587999 stepsize= 1.000000
+dualbound = 2097947.226206, lowerbound=1111679.226206, norm of subgrad 1055.092520 dualbound = 2097947.226206, lowerbound=1111679.226206, norm of subgrad 41.887548 stepsize= 1.000000
+dualbound = 2098194.527411, lowerbound=1116058.527411, norm of subgrad 1057.188028 dualbound = 2098194.527411, lowerbound=1116058.527411, norm of subgrad 42.840416 stepsize= 1.000000
+dualbound = 2098462.130910, lowerbound=1111878.130910, norm of subgrad 1055.154553 dualbound = 2098462.130910, lowerbound=1111878.130910, norm of subgrad 41.720540 stepsize= 1.000000
+dualbound = 2098737.384355, lowerbound=1115774.384355, norm of subgrad 1056.999236 dualbound = 2098737.384355, lowerbound=1115774.384355, norm of subgrad 41.812121 stepsize= 1.000000
+dualbound = 2098979.857650, lowerbound=1112636.857650, norm of subgrad 1055.550500 dualbound = 2098979.857650, lowerbound=1112636.857650, norm of subgrad 42.337611 stepsize= 1.000000
+dualbound = 2099228.123134, lowerbound=1113049.123134, norm of subgrad 1055.738662 dualbound = 2099228.123134, lowerbound=1113049.123134, norm of subgrad 42.228728 stepsize= 1.000000
+dualbound = 2099502.358621, lowerbound=1113017.358621, norm of subgrad 1055.696622 dualbound = 2099502.358621, lowerbound=1113017.358621, norm of subgrad 41.859712 stepsize= 1.000000
+dualbound = 2099747.177691, lowerbound=1114574.177691, norm of subgrad 1056.445539 dualbound = 2099747.177691, lowerbound=1114574.177691, norm of subgrad 41.806926 stepsize= 1.000000
+dualbound = 2100005.048193, lowerbound=1111780.048193, norm of subgrad 1055.094805 dualbound = 2100005.048193, lowerbound=1111780.048193, norm of subgrad 41.265852 stepsize= 1.000000
+dualbound = 2100272.074828, lowerbound=1115370.074828, norm of subgrad 1056.828309 dualbound = 2100272.074828, lowerbound=1115370.074828, norm of subgrad 42.225900 stepsize= 1.000000
+dualbound = 2100504.528815, lowerbound=1112571.528815, norm of subgrad 1055.499185 dualbound = 2100504.528815, lowerbound=1112571.528815, norm of subgrad 41.706762 stepsize= 1.000000
+dualbound = 2100767.902989, lowerbound=1113392.902989, norm of subgrad 1055.931770 dualbound = 2100767.902989, lowerbound=1113392.902989, norm of subgrad 43.155233 stepsize= 1.000000
+dualbound = 2100979.923329, lowerbound=1112309.923329, norm of subgrad 1055.441104 dualbound = 2100979.923329, lowerbound=1112309.923329, norm of subgrad 43.104760 stepsize= 1.000000
+dualbound = 2101264.738844, lowerbound=1113770.738844, norm of subgrad 1056.087467 dualbound = 2101264.738844, lowerbound=1113770.738844, norm of subgrad 42.834747 stepsize= 1.000000
+dualbound = 2101525.333315, lowerbound=1114080.333315, norm of subgrad 1056.208944 dualbound = 2101525.333315, lowerbound=1114080.333315, norm of subgrad 41.923674 stepsize= 1.000000
+dualbound = 2101803.346806, lowerbound=1112113.346806, norm of subgrad 1055.264586 dualbound = 2101803.346806, lowerbound=1112113.346806, norm of subgrad 41.809251 stepsize= 1.000000
+dualbound = 2102040.361496, lowerbound=1112891.361496, norm of subgrad 1055.653997 dualbound = 2102040.361496, lowerbound=1112891.361496, norm of subgrad 41.845127 stepsize= 1.000000
+dualbound = 2102271.707119, lowerbound=1113934.707119, norm of subgrad 1056.160361 dualbound = 2102271.707119, lowerbound=1113934.707119, norm of subgrad 42.087357 stepsize= 1.000000
+dualbound = 2102531.895367, lowerbound=1114286.895367, norm of subgrad 1056.340805 dualbound = 2102531.895367, lowerbound=1114286.895367, norm of subgrad 42.769010 stepsize= 1.000000
+dualbound = 2102779.094040, lowerbound=1112618.094040, norm of subgrad 1055.538770 dualbound = 2102779.094040, lowerbound=1112618.094040, norm of subgrad 42.322555 stepsize= 1.000000
+dualbound = 2103066.769864, lowerbound=1111809.769864, norm of subgrad 1055.115998 dualbound = 2103066.769864, lowerbound=1111809.769864, norm of subgrad 41.805213 stepsize= 1.000000
+dualbound = 2103325.645153, lowerbound=1114746.645153, norm of subgrad 1056.516751 dualbound = 2103325.645153, lowerbound=1114746.645153, norm of subgrad 41.711812 stepsize= 1.000000
+dualbound = 2103565.093604, lowerbound=1110740.093604, norm of subgrad 1054.627467 dualbound = 2103565.093604, lowerbound=1110740.093604, norm of subgrad 41.694705 stepsize= 1.000000
+dualbound = 2103827.280889, lowerbound=1111746.280889, norm of subgrad 1055.111502 dualbound = 2103827.280889, lowerbound=1111746.280889, norm of subgrad 42.144837 stepsize= 1.000000
+dualbound = 2104068.588325, lowerbound=1113682.588325, norm of subgrad 1056.032949 dualbound = 2104068.588325, lowerbound=1113682.588325, norm of subgrad 42.003660 stepsize= 1.000000
+dualbound = 2104334.260130, lowerbound=1112976.260130, norm of subgrad 1055.655370 dualbound = 2104334.260130, lowerbound=1112976.260130, norm of subgrad 41.202813 stepsize= 1.000000
+dualbound = 2104605.266063, lowerbound=1118016.266063, norm of subgrad 1058.082826 dualbound = 2104605.266063, lowerbound=1118016.266063, norm of subgrad 42.355707 stepsize= 1.000000
+dualbound = 2104835.638448, lowerbound=1113849.638448, norm of subgrad 1056.093575 dualbound = 2104835.638448, lowerbound=1113849.638448, norm of subgrad 41.404980 stepsize= 1.000000
+dualbound = 2105116.204132, lowerbound=1116130.204132, norm of subgrad 1057.167538 dualbound = 2105116.204132, lowerbound=1116130.204132, norm of subgrad 41.875598 stepsize= 1.000000
+dualbound = 2105361.280634, lowerbound=1110411.280634, norm of subgrad 1054.477255 dualbound = 2105361.280634, lowerbound=1110411.280634, norm of subgrad 41.905566 stepsize= 1.000000
+dualbound = 2105603.796575, lowerbound=1112466.796575, norm of subgrad 1055.480363 dualbound = 2105603.796575, lowerbound=1112466.796575, norm of subgrad 42.597135 stepsize= 1.000000
+dualbound = 2105848.919574, lowerbound=1114175.919574, norm of subgrad 1056.269814 dualbound = 2105848.919574, lowerbound=1114175.919574, norm of subgrad 42.132209 stepsize= 1.000000
+dualbound = 2106097.123426, lowerbound=1113728.123426, norm of subgrad 1056.090964 dualbound = 2106097.123426, lowerbound=1113728.123426, norm of subgrad 42.990741 stepsize= 1.000000
+dualbound = 2106316.367425, lowerbound=1115238.367425, norm of subgrad 1056.802899 dualbound = 2106316.367425, lowerbound=1115238.367425, norm of subgrad 42.582203 stepsize= 1.000000
+dualbound = 2106618.633627, lowerbound=1110547.633627, norm of subgrad 1054.569881 dualbound = 2106618.633627, lowerbound=1110547.633627, norm of subgrad 43.269691 stepsize= 1.000000
+dualbound = 2106865.315848, lowerbound=1117160.315848, norm of subgrad 1057.692449 dualbound = 2106865.315848, lowerbound=1117160.315848, norm of subgrad 42.422662 stepsize= 1.000000
+dualbound = 2107116.504209, lowerbound=1113790.504209, norm of subgrad 1056.086883 dualbound = 2107116.504209, lowerbound=1113790.504209, norm of subgrad 42.192278 stepsize= 1.000000
+dualbound = 2107376.835357, lowerbound=1112509.835357, norm of subgrad 1055.459064 dualbound = 2107376.835357, lowerbound=1112509.835357, norm of subgrad 41.765191 stepsize= 1.000000
+dualbound = 2107652.630167, lowerbound=1116248.630167, norm of subgrad 1057.233007 dualbound = 2107652.630167, lowerbound=1116248.630167, norm of subgrad 42.057042 stepsize= 1.000000
+dualbound = 2107894.373400, lowerbound=1113692.373400, norm of subgrad 1056.030953 dualbound = 2107894.373400, lowerbound=1113692.373400, norm of subgrad 41.841884 stepsize= 1.000000
+dualbound = 2108140.709333, lowerbound=1110687.709333, norm of subgrad 1054.615906 dualbound = 2108140.709333, lowerbound=1110687.709333, norm of subgrad 42.110995 stepsize= 1.000000
+dualbound = 2108388.116849, lowerbound=1116957.116849, norm of subgrad 1057.582676 dualbound = 2108388.116849, lowerbound=1116957.116849, norm of subgrad 42.088092 stepsize= 1.000000
+dualbound = 2108656.947448, lowerbound=1112144.947448, norm of subgrad 1055.312251 dualbound = 2108656.947448, lowerbound=1112144.947448, norm of subgrad 42.518591 stepsize= 1.000000
+dualbound = 2108894.645219, lowerbound=1111589.645219, norm of subgrad 1055.041537 dualbound = 2108894.645219, lowerbound=1111589.645219, norm of subgrad 41.960669 stepsize= 1.000000
+dualbound = 2109156.488347, lowerbound=1114298.488347, norm of subgrad 1056.348659 dualbound = 2109156.488347, lowerbound=1114298.488347, norm of subgrad 42.846740 stepsize= 1.000000
+dualbound = 2109410.971229, lowerbound=1116078.971229, norm of subgrad 1057.169320 dualbound = 2109410.971229, lowerbound=1116078.971229, norm of subgrad 42.219461 stepsize= 1.000000
+dualbound = 2109674.997014, lowerbound=1109714.997014, norm of subgrad 1054.145150 dualbound = 2109674.997014, lowerbound=1109714.997014, norm of subgrad 42.083557 stepsize= 1.000000
+dualbound = 2109924.265327, lowerbound=1116481.265327, norm of subgrad 1057.348696 dualbound = 2109924.265327, lowerbound=1116481.265327, norm of subgrad 41.883986 stepsize= 1.000000
+dualbound = 2110180.227390, lowerbound=1115430.227390, norm of subgrad 1056.852037 dualbound = 2110180.227390, lowerbound=1115430.227390, norm of subgrad 41.975732 stepsize= 1.000000
+dualbound = 2110458.424202, lowerbound=1109459.424202, norm of subgrad 1054.002099 dualbound = 2110458.424202, lowerbound=1109459.424202, norm of subgrad 41.703679 stepsize= 1.000000
+dualbound = 2110687.225811, lowerbound=1114984.225811, norm of subgrad 1056.624922 dualbound = 2110687.225811, lowerbound=1114984.225811, norm of subgrad 41.240776 stepsize= 1.000000
+dualbound = 2110953.749777, lowerbound=1118256.749777, norm of subgrad 1058.172835 dualbound = 2110953.749777, lowerbound=1118256.749777, norm of subgrad 41.707601 stepsize= 1.000000
+dualbound = 2111198.646920, lowerbound=1113354.646920, norm of subgrad 1055.887137 dualbound = 2111198.646920, lowerbound=1113354.646920, norm of subgrad 42.283533 stepsize= 1.000000
+dualbound = 2111426.182721, lowerbound=1114172.182721, norm of subgrad 1056.262365 dualbound = 2111426.182721, lowerbound=1114172.182721, norm of subgrad 41.779610 stepsize= 1.000000
+dualbound = 2111705.955626, lowerbound=1115823.955626, norm of subgrad 1057.025996 dualbound = 2111705.955626, lowerbound=1115823.955626, norm of subgrad 41.949647 stepsize= 1.000000
+dualbound = 2111950.342075, lowerbound=1112816.342075, norm of subgrad 1055.627937 dualbound = 2111950.342075, lowerbound=1112816.342075, norm of subgrad 42.170919 stepsize= 1.000000
+dualbound = 2112204.771327, lowerbound=1113371.771327, norm of subgrad 1055.914187 dualbound = 2112204.771327, lowerbound=1113371.771327, norm of subgrad 42.865245 stepsize= 1.000000
+dualbound = 2112450.426757, lowerbound=1115419.426757, norm of subgrad 1056.828002 dualbound = 2112450.426757, lowerbound=1115419.426757, norm of subgrad 41.372158 stepsize= 1.000000
+dualbound = 2112743.339365, lowerbound=1113827.339365, norm of subgrad 1056.092486 dualbound = 2112743.339365, lowerbound=1113827.339365, norm of subgrad 42.390006 stepsize= 1.000000
+dualbound = 2112968.630337, lowerbound=1111308.630337, norm of subgrad 1054.905982 dualbound = 2112968.630337, lowerbound=1111308.630337, norm of subgrad 41.752736 stepsize= 1.000000
+dualbound = 2113213.549564, lowerbound=1115259.549564, norm of subgrad 1056.797308 dualbound = 2113213.549564, lowerbound=1115259.549564, norm of subgrad 42.496108 stepsize= 1.000000
+dualbound = 2113487.154623, lowerbound=1112081.154623, norm of subgrad 1055.270655 dualbound = 2113487.154623, lowerbound=1112081.154623, norm of subgrad 42.291903 stepsize= 1.000000
+dualbound = 2113718.154388, lowerbound=1118708.154388, norm of subgrad 1058.454134 dualbound = 2113718.154388, lowerbound=1118708.154388, norm of subgrad 42.988368 stepsize= 1.000000
+dualbound = 2113955.043507, lowerbound=1112437.043507, norm of subgrad 1055.464847 dualbound = 2113955.043507, lowerbound=1112437.043507, norm of subgrad 42.495754 stepsize= 1.000000
+dualbound = 2114248.574778, lowerbound=1110546.574778, norm of subgrad 1054.531922 dualbound = 2114248.574778, lowerbound=1110546.574778, norm of subgrad 42.243713 stepsize= 1.000000
+dualbound = 2114488.016832, lowerbound=1115100.016832, norm of subgrad 1056.765829 dualbound = 2114488.016832, lowerbound=1115100.016832, norm of subgrad 43.513700 stepsize= 1.000000
+dualbound = 2114711.758046, lowerbound=1115721.758046, norm of subgrad 1057.022118 dualbound = 2114711.758046, lowerbound=1115721.758046, norm of subgrad 42.399778 stepsize= 1.000000
+dualbound = 2114992.664738, lowerbound=1114462.664738, norm of subgrad 1056.374301 dualbound = 2114992.664738, lowerbound=1114462.664738, norm of subgrad 41.772080 stepsize= 1.000000
+dualbound = 2115274.397955, lowerbound=1113058.397955, norm of subgrad 1055.735004 dualbound = 2115274.397955, lowerbound=1113058.397955, norm of subgrad 42.423263 stepsize= 1.000000
+dualbound = 2115498.994730, lowerbound=1115686.994730, norm of subgrad 1056.980603 dualbound = 2115498.994730, lowerbound=1115686.994730, norm of subgrad 41.780340 stepsize= 1.000000
+dualbound = 2115757.748338, lowerbound=1114798.748338, norm of subgrad 1056.550400 dualbound = 2115757.748338, lowerbound=1114798.748338, norm of subgrad 41.937496 stepsize= 1.000000
+dualbound = 2116015.457449, lowerbound=1112959.457449, norm of subgrad 1055.684829 dualbound = 2116015.457449, lowerbound=1112959.457449, norm of subgrad 42.056023 stepsize= 1.000000
+dualbound = 2116259.837747, lowerbound=1115913.837747, norm of subgrad 1057.082228 dualbound = 2116259.837747, lowerbound=1115913.837747, norm of subgrad 41.873384 stepsize= 1.000000
+dualbound = 2116512.389146, lowerbound=1111422.389146, norm of subgrad 1054.961795 dualbound = 2116512.389146, lowerbound=1111422.389146, norm of subgrad 42.125425 stepsize= 1.000000
+dualbound = 2116771.905514, lowerbound=1115665.905514, norm of subgrad 1056.972046 dualbound = 2116771.905514, lowerbound=1115665.905514, norm of subgrad 42.231699 stepsize= 1.000000
+dualbound = 2117022.019397, lowerbound=1116846.019397, norm of subgrad 1057.541971 dualbound = 2117022.019397, lowerbound=1116846.019397, norm of subgrad 42.415963 stepsize= 1.000000
+dualbound = 2117265.726217, lowerbound=1113932.726217, norm of subgrad 1056.159896 dualbound = 2117265.726217, lowerbound=1113932.726217, norm of subgrad 42.245791 stepsize= 1.000000
+dualbound = 2117509.271915, lowerbound=1112054.271915, norm of subgrad 1055.274027 dualbound = 2117509.271915, lowerbound=1112054.271915, norm of subgrad 42.338466 stepsize= 1.000000
+dualbound = 2117773.540416, lowerbound=1115343.540416, norm of subgrad 1056.813390 dualbound = 2117773.540416, lowerbound=1115343.540416, norm of subgrad 42.133935 stepsize= 1.000000
+dualbound = 2118031.877319, lowerbound=1117925.877319, norm of subgrad 1058.046727 dualbound = 2118031.877319, lowerbound=1117925.877319, norm of subgrad 42.371416 stepsize= 1.000000
+dualbound = 2118275.607025, lowerbound=1110455.607025, norm of subgrad 1054.504437 dualbound = 2118275.607025, lowerbound=1110455.607025, norm of subgrad 42.044378 stepsize= 1.000000
+dualbound = 2118549.906249, lowerbound=1114865.906249, norm of subgrad 1056.555681 dualbound = 2118549.906249, lowerbound=1114865.906249, norm of subgrad 41.452373 stepsize= 1.000000
+dualbound = 2118801.046371, lowerbound=1115566.046371, norm of subgrad 1056.906356 dualbound = 2118801.046371, lowerbound=1115566.046371, norm of subgrad 41.667015 stepsize= 1.000000
+dualbound = 2119067.263304, lowerbound=1115038.263304, norm of subgrad 1056.661849 dualbound = 2119067.263304, lowerbound=1115038.263304, norm of subgrad 41.978768 stepsize= 1.000000
+dualbound = 2119295.096068, lowerbound=1114192.096068, norm of subgrad 1056.278418 dualbound = 2119295.096068, lowerbound=1114192.096068, norm of subgrad 41.950361 stepsize= 1.000000
+dualbound = 2119571.471406, lowerbound=1115695.471406, norm of subgrad 1056.953391 dualbound = 2119571.471406, lowerbound=1115695.471406, norm of subgrad 41.609799 stepsize= 1.000000
+dualbound = 2119826.401650, lowerbound=1113061.401650, norm of subgrad 1055.731690 dualbound = 2119826.401650, lowerbound=1113061.401650, norm of subgrad 41.987263 stepsize= 1.000000
+dualbound = 2120055.420896, lowerbound=1113763.420896, norm of subgrad 1056.080215 dualbound = 2120055.420896, lowerbound=1113763.420896, norm of subgrad 42.083479 stepsize= 1.000000
+dualbound = 2120318.073238, lowerbound=1116680.073238, norm of subgrad 1057.437030 dualbound = 2120318.073238, lowerbound=1116680.073238, norm of subgrad 41.900505 stepsize= 1.000000
+dualbound = 2120579.915711, lowerbound=1110657.915711, norm of subgrad 1054.590876 dualbound = 2120579.915711, lowerbound=1110657.915711, norm of subgrad 42.021928 stepsize= 1.000000
+dualbound = 2120833.737038, lowerbound=1114917.737038, norm of subgrad 1056.616646 dualbound = 2120833.737038, lowerbound=1114917.737038, norm of subgrad 42.128628 stepsize= 1.000000
+dualbound = 2121074.606984, lowerbound=1115236.606984, norm of subgrad 1056.766581 dualbound = 2121074.606984, lowerbound=1115236.606984, norm of subgrad 41.950804 stepsize= 1.000000
+dualbound = 2121332.193852, lowerbound=1113789.193852, norm of subgrad 1056.089577 dualbound = 2121332.193852, lowerbound=1113789.193852, norm of subgrad 42.350760 stepsize= 1.000000
+dualbound = 2121610.726200, lowerbound=1113909.726200, norm of subgrad 1056.126757 dualbound = 2121610.726200, lowerbound=1113909.726200, norm of subgrad 42.101453 stepsize= 1.000000
+dualbound = 2121813.929324, lowerbound=1114255.929324, norm of subgrad 1056.308634 dualbound = 2121813.929324, lowerbound=1114255.929324, norm of subgrad 41.655769 stepsize= 1.000000
+dualbound = 2122085.177323, lowerbound=1116060.177323, norm of subgrad 1057.194011 dualbound = 2122085.177323, lowerbound=1116060.177323, norm of subgrad 43.246364 stepsize= 1.000000
+dualbound = 2122312.155381, lowerbound=1116230.155381, norm of subgrad 1057.234201 dualbound = 2122312.155381, lowerbound=1116230.155381, norm of subgrad 41.725029 stepsize= 1.000000
+dualbound = 2122605.577647, lowerbound=1116148.577647, norm of subgrad 1057.197511 dualbound = 2122605.577647, lowerbound=1116148.577647, norm of subgrad 42.560807 stepsize= 1.000000
+dualbound = 2122815.436564, lowerbound=1112740.436564, norm of subgrad 1055.626087 dualbound = 2122815.436564, lowerbound=1112740.436564, norm of subgrad 42.612896 stepsize= 1.000000
+dualbound = 2123079.430124, lowerbound=1113986.430124, norm of subgrad 1056.205203 dualbound = 2123079.430124, lowerbound=1113986.430124, norm of subgrad 42.976663 stepsize= 1.000000
+dualbound = 2123348.857691, lowerbound=1115583.857691, norm of subgrad 1056.931340 dualbound = 2123348.857691, lowerbound=1115583.857691, norm of subgrad 42.301626 stepsize= 1.000000
+dualbound = 2123621.170785, lowerbound=1115498.170785, norm of subgrad 1056.856268 dualbound = 2123621.170785, lowerbound=1115498.170785, norm of subgrad 41.464600 stepsize= 1.000000
+dualbound = 2123885.625658, lowerbound=1118543.625658, norm of subgrad 1058.320663 dualbound = 2123885.625658, lowerbound=1118543.625658, norm of subgrad 41.993510 stepsize= 1.000000
+dualbound = 2124102.065930, lowerbound=1114904.065930, norm of subgrad 1056.629578 dualbound = 2124102.065930, lowerbound=1114904.065930, norm of subgrad 42.171558 stepsize= 1.000000
+dualbound = 2124330.547039, lowerbound=1110893.547039, norm of subgrad 1054.769902 dualbound = 2124330.547039, lowerbound=1110893.547039, norm of subgrad 43.295278 stepsize= 1.000000
+dualbound = 2124577.146678, lowerbound=1117308.146678, norm of subgrad 1057.774620 dualbound = 2124577.146678, lowerbound=1117308.146678, norm of subgrad 42.727036 stepsize= 1.000000
+dualbound = 2124849.448525, lowerbound=1113462.448525, norm of subgrad 1055.915455 dualbound = 2124849.448525, lowerbound=1113462.448525, norm of subgrad 42.039289 stepsize= 1.000000
+dualbound = 2125139.518217, lowerbound=1117787.518217, norm of subgrad 1057.957711 dualbound = 2125139.518217, lowerbound=1117787.518217, norm of subgrad 42.155304 stepsize= 1.000000
+dualbound = 2125378.445473, lowerbound=1110347.445473, norm of subgrad 1054.444141 dualbound = 2125378.445473, lowerbound=1110347.445473, norm of subgrad 41.760355 stepsize= 1.000000
+dualbound = 2125619.371614, lowerbound=1117730.371614, norm of subgrad 1057.952916 dualbound = 2125619.371614, lowerbound=1117730.371614, norm of subgrad 42.129872 stepsize= 1.000000
+dualbound = 2125867.843396, lowerbound=1116183.843396, norm of subgrad 1057.208042 dualbound = 2125867.843396, lowerbound=1116183.843396, norm of subgrad 41.874476 stepsize= 1.000000
+dualbound = 2126152.582646, lowerbound=1113853.582646, norm of subgrad 1056.092128 dualbound = 2126152.582646, lowerbound=1113853.582646, norm of subgrad 41.973078 stepsize= 1.000000
+dualbound = 2126381.278159, lowerbound=1115743.278159, norm of subgrad 1057.002024 dualbound = 2126381.278159, lowerbound=1115743.278159, norm of subgrad 41.697668 stepsize= 1.000000
+dualbound = 2126604.170967, lowerbound=1114385.170967, norm of subgrad 1056.396313 dualbound = 2126604.170967, lowerbound=1114385.170967, norm of subgrad 42.554586 stepsize= 1.000000
+dualbound = 2126876.448075, lowerbound=1115648.448075, norm of subgrad 1056.985548 dualbound = 2126876.448075, lowerbound=1115648.448075, norm of subgrad 42.921756 stepsize= 1.000000
+dualbound = 2127105.356612, lowerbound=1114879.356612, norm of subgrad 1056.618359 dualbound = 2127105.356612, lowerbound=1114879.356612, norm of subgrad 42.330941 stepsize= 1.000000
+dualbound = 2127376.447856, lowerbound=1113333.447855, norm of subgrad 1055.860051 dualbound = 2127376.447856, lowerbound=1113333.447855, norm of subgrad 42.167419 stepsize= 1.000000
+dualbound = 2127624.012698, lowerbound=1116972.012698, norm of subgrad 1057.602956 dualbound = 2127624.012698, lowerbound=1116972.012698, norm of subgrad 42.421278 stepsize= 1.000000
+dualbound = 2127854.055405, lowerbound=1115611.055405, norm of subgrad 1056.990092 dualbound = 2127854.055405, lowerbound=1115611.055405, norm of subgrad 42.977235 stepsize= 1.000000
+dualbound = 2128101.497463, lowerbound=1114139.497463, norm of subgrad 1056.244525 dualbound = 2128101.497463, lowerbound=1114139.497463, norm of subgrad 41.957622 stepsize= 1.000000
+dualbound = 2128371.041307, lowerbound=1115524.041307, norm of subgrad 1056.910612 dualbound = 2128371.041307, lowerbound=1115524.041307, norm of subgrad 42.491691 stepsize= 1.000000
+dualbound = 2128654.152342, lowerbound=1114884.152342, norm of subgrad 1056.617316 dualbound = 2128654.152342, lowerbound=1114884.152342, norm of subgrad 42.884858 stepsize= 1.000000
+dualbound = 2128862.130093, lowerbound=1116561.130093, norm of subgrad 1057.408686 dualbound = 2128862.130093, lowerbound=1116561.130093, norm of subgrad 41.952089 stepsize= 1.000000
+dualbound = 2129116.387316, lowerbound=1113254.387316, norm of subgrad 1055.827347 dualbound = 2129116.387316, lowerbound=1113254.387316, norm of subgrad 42.086307 stepsize= 1.000000
+dualbound = 2129392.128502, lowerbound=1114087.128502, norm of subgrad 1056.236303 dualbound = 2129392.128502, lowerbound=1114087.128502, norm of subgrad 42.705283 stepsize= 1.000000
+dualbound = 2129627.471721, lowerbound=1119098.471721, norm of subgrad 1058.610633 dualbound = 2129627.471721, lowerbound=1119098.471721, norm of subgrad 42.347883 stepsize= 1.000000
+dualbound = 2129907.337690, lowerbound=1117704.337690, norm of subgrad 1057.918871 dualbound = 2129907.337690, lowerbound=1117704.337690, norm of subgrad 42.045998 stepsize= 1.000000
+dualbound = 2130151.276362, lowerbound=1114531.276362, norm of subgrad 1056.418135 dualbound = 2130151.276362, lowerbound=1114531.276362, norm of subgrad 41.616567 stepsize= 1.000000
+dualbound = 2130408.297661, lowerbound=1112860.297661, norm of subgrad 1055.616549 dualbound = 2130408.297661, lowerbound=1112860.297661, norm of subgrad 41.509292 stepsize= 1.000000
+dualbound = 2130655.470345, lowerbound=1114825.470345, norm of subgrad 1056.599958 dualbound = 2130655.470345, lowerbound=1114825.470345, norm of subgrad 42.722040 stepsize= 1.000000
+dualbound = 2130856.796326, lowerbound=1116488.796326, norm of subgrad 1057.392924 dualbound = 2130856.796326, lowerbound=1116488.796326, norm of subgrad 42.335871 stepsize= 1.000000
+dualbound = 2131122.535670, lowerbound=1113842.535670, norm of subgrad 1056.109623 dualbound = 2131122.535670, lowerbound=1113842.535670, norm of subgrad 42.317128 stepsize= 1.000000
+dualbound = 2131425.553896, lowerbound=1118553.553896, norm of subgrad 1058.305511 dualbound = 2131425.553896, lowerbound=1118553.553896, norm of subgrad 41.952571 stepsize= 1.000000
+dualbound = 2131642.480790, lowerbound=1113281.480790, norm of subgrad 1055.843493 dualbound = 2131642.480790, lowerbound=1113281.480790, norm of subgrad 41.724416 stepsize= 1.000000
+dualbound = 2131882.240632, lowerbound=1119109.240632, norm of subgrad 1058.588324 dualbound = 2131882.240632, lowerbound=1119109.240632, norm of subgrad 41.710428 stepsize= 1.000000
+dualbound = 2132144.735070, lowerbound=1114081.735070, norm of subgrad 1056.222389 dualbound = 2132144.735070, lowerbound=1114081.735070, norm of subgrad 42.266943 stepsize= 1.000000
+dualbound = 2132373.997464, lowerbound=1115924.997464, norm of subgrad 1057.115414 dualbound = 2132373.997464, lowerbound=1115924.997464, norm of subgrad 42.394132 stepsize= 1.000000
+dualbound = 2132611.031934, lowerbound=1115663.031934, norm of subgrad 1056.998596 dualbound = 2132611.031934, lowerbound=1115663.031934, norm of subgrad 42.661862 stepsize= 1.000000
+dualbound = 2132873.384261, lowerbound=1114339.384261, norm of subgrad 1056.312162 dualbound = 2132873.384261, lowerbound=1114339.384261, norm of subgrad 41.453013 stepsize= 1.000000
+dualbound = 2133149.799184, lowerbound=1119252.799184, norm of subgrad 1058.658018 dualbound = 2133149.799184, lowerbound=1119252.799184, norm of subgrad 42.194963 stepsize= 1.000000
+dualbound = 2133375.649760, lowerbound=1112722.649760, norm of subgrad 1055.591611 dualbound = 2133375.649760, lowerbound=1112722.649760, norm of subgrad 42.152705 stepsize= 1.000000
+dualbound = 2133636.982109, lowerbound=1115794.982109, norm of subgrad 1057.036888 dualbound = 2133636.982109, lowerbound=1115794.982109, norm of subgrad 42.347755 stepsize= 1.000000
+dualbound = 2133888.610497, lowerbound=1113978.610497, norm of subgrad 1056.204815 dualbound = 2133888.610497, lowerbound=1113978.610497, norm of subgrad 42.914198 stepsize= 1.000000
+dualbound = 2134117.021746, lowerbound=1114901.021746, norm of subgrad 1056.636182 dualbound = 2134117.021746, lowerbound=1114901.021746, norm of subgrad 42.513660 stepsize= 1.000000
+dualbound = 2134368.304955, lowerbound=1117136.304955, norm of subgrad 1057.691025 dualbound = 2134368.304955, lowerbound=1117136.304955, norm of subgrad 42.723333 stepsize= 1.000000
+dualbound = 2134654.815536, lowerbound=1114492.815536, norm of subgrad 1056.397565 dualbound = 2134654.815536, lowerbound=1114492.815536, norm of subgrad 42.065551 stepsize= 1.000000
+dualbound = 2134900.944155, lowerbound=1120098.944155, norm of subgrad 1059.075042 dualbound = 2134900.944155, lowerbound=1120098.944155, norm of subgrad 42.274444 stepsize= 1.000000
+dualbound = 2135123.942775, lowerbound=1113576.942775, norm of subgrad 1055.988609 dualbound = 2135123.942775, lowerbound=1113576.942775, norm of subgrad 41.928494 stepsize= 1.000000
+dualbound = 2135380.221599, lowerbound=1114852.221599, norm of subgrad 1056.625866 dualbound = 2135380.221599, lowerbound=1114852.221599, norm of subgrad 43.154129 stepsize= 1.000000
+dualbound = 2135622.191956, lowerbound=1113805.191956, norm of subgrad 1056.079160 dualbound = 2135622.191956, lowerbound=1113805.191956, norm of subgrad 41.712952 stepsize= 1.000000
+dualbound = 2135919.465223, lowerbound=1118389.465223, norm of subgrad 1058.258695 dualbound = 2135919.465223, lowerbound=1118389.465223, norm of subgrad 42.652940 stepsize= 1.000000
+dualbound = 2136126.786663, lowerbound=1116241.786663, norm of subgrad 1057.242066 dualbound = 2136126.786663, lowerbound=1116241.786663, norm of subgrad 41.549025 stepsize= 1.000000
+dualbound = 2136414.991524, lowerbound=1116402.991524, norm of subgrad 1057.321612 dualbound = 2136414.991524, lowerbound=1116402.991524, norm of subgrad 42.593484 stepsize= 1.000000
+dualbound = 2136648.842068, lowerbound=1116009.842068, norm of subgrad 1057.131421 dualbound = 2136648.842068, lowerbound=1116009.842068, norm of subgrad 41.843166 stepsize= 1.000000
+dualbound = 2136914.960191, lowerbound=1113503.960191, norm of subgrad 1055.925168 dualbound = 2136914.960191, lowerbound=1113503.960191, norm of subgrad 41.714723 stepsize= 1.000000
+dualbound = 2137168.181551, lowerbound=1113335.181551, norm of subgrad 1055.870817 dualbound = 2137168.181551, lowerbound=1113335.181551, norm of subgrad 42.204518 stepsize= 1.000000
+dualbound = 2137398.506994, lowerbound=1119684.506994, norm of subgrad 1058.877475 dualbound = 2137398.506994, lowerbound=1119684.506994, norm of subgrad 42.039570 stepsize= 1.000000
+dualbound = 2137663.861387, lowerbound=1114961.861387, norm of subgrad 1056.635160 dualbound = 2137663.861387, lowerbound=1114961.861387, norm of subgrad 42.206094 stepsize= 1.000000
+dualbound = 2137894.100019, lowerbound=1118344.100019, norm of subgrad 1058.243403 dualbound = 2137894.100019, lowerbound=1118344.100019, norm of subgrad 42.014743 stepsize= 1.000000
+dualbound = 2138150.698979, lowerbound=1111464.698979, norm of subgrad 1054.976160 dualbound = 2138150.698979, lowerbound=1111464.698979, norm of subgrad 42.030929 stepsize= 1.000000
+dualbound = 2138418.318785, lowerbound=1118573.318785, norm of subgrad 1058.348864 dualbound = 2138418.318785, lowerbound=1118573.318785, norm of subgrad 42.386552 stepsize= 1.000000
+dualbound = 2138625.110908, lowerbound=1115046.110908, norm of subgrad 1056.673133 dualbound = 2138625.110908, lowerbound=1115046.110908, norm of subgrad 41.458318 stepsize= 1.000000
+dualbound = 2138905.151567, lowerbound=1117425.151567, norm of subgrad 1057.794475 dualbound = 2138905.151567, lowerbound=1117425.151567, norm of subgrad 42.237905 stepsize= 1.000000
+dualbound = 2139139.658727, lowerbound=1113273.658727, norm of subgrad 1055.842630 dualbound = 2139139.658727, lowerbound=1113273.658727, norm of subgrad 42.006037 stepsize= 1.000000
+dualbound = 2139384.367663, lowerbound=1118976.367663, norm of subgrad 1058.574687 dualbound = 2139384.367663, lowerbound=1118976.367663, norm of subgrad 42.996615 stepsize= 1.000000
+dualbound = 2139633.934287, lowerbound=1114535.934287, norm of subgrad 1056.479500 dualbound = 2139633.934287, lowerbound=1114535.934287, norm of subgrad 43.157463 stepsize= 1.000000
+dualbound = 2139868.400206, lowerbound=1114862.400206, norm of subgrad 1056.620272 dualbound = 2139868.400206, lowerbound=1114862.400206, norm of subgrad 42.643475 stepsize= 1.000000
+dualbound = 2140148.100861, lowerbound=1115192.100861, norm of subgrad 1056.762557 dualbound = 2140148.100861, lowerbound=1115192.100861, norm of subgrad 42.833406 stepsize= 1.000000
+dualbound = 2140383.554237, lowerbound=1116898.554237, norm of subgrad 1057.581937 dualbound = 2140383.554237, lowerbound=1116898.554237, norm of subgrad 42.619871 stepsize= 1.000000
+dualbound = 2140646.409019, lowerbound=1116744.409019, norm of subgrad 1057.488728 dualbound = 2140646.409019, lowerbound=1116744.409019, norm of subgrad 42.436479 stepsize= 1.000000
+dualbound = 2140898.742530, lowerbound=1114296.742530, norm of subgrad 1056.324165 dualbound = 2140898.742530, lowerbound=1114296.742530, norm of subgrad 42.146572 stepsize= 1.000000
+dualbound = 2141136.337304, lowerbound=1116575.337304, norm of subgrad 1057.388451 dualbound = 2141136.337304, lowerbound=1116575.337304, norm of subgrad 41.624449 stepsize= 1.000000
+dualbound = 2141422.461510, lowerbound=1115985.461510, norm of subgrad 1057.108538 dualbound = 2141422.461510, lowerbound=1115985.461510, norm of subgrad 42.179666 stepsize= 1.000000
+dualbound = 2141652.821265, lowerbound=1111725.821265, norm of subgrad 1055.091854 dualbound = 2141652.821265, lowerbound=1111725.821265, norm of subgrad 41.513368 stepsize= 1.000000
+dualbound = 2141934.622686, lowerbound=1117974.622686, norm of subgrad 1058.023923 dualbound = 2141934.622686, lowerbound=1117974.622686, norm of subgrad 41.494595 stepsize= 1.000000
+dualbound = 2142157.850627, lowerbound=1115180.850627, norm of subgrad 1056.732630 dualbound = 2142157.850627, lowerbound=1115180.850627, norm of subgrad 41.547899 stepsize= 1.000000
+dualbound = 2142403.162498, lowerbound=1114760.162498, norm of subgrad 1056.556275 dualbound = 2142403.162498, lowerbound=1114760.162498, norm of subgrad 42.382920 stepsize= 1.000000
+dualbound = 2142635.625892, lowerbound=1116624.625892, norm of subgrad 1057.459042 dualbound = 2142635.625892, lowerbound=1116624.625892, norm of subgrad 42.748841 stepsize= 1.000000
+dualbound = 2142888.846854, lowerbound=1119618.846854, norm of subgrad 1058.854497 dualbound = 2142888.846854, lowerbound=1119618.846854, norm of subgrad 42.511422 stepsize= 1.000000
+dualbound = 2143147.210049, lowerbound=1115372.210049, norm of subgrad 1056.828373 dualbound = 2143147.210049, lowerbound=1115372.210049, norm of subgrad 42.099444 stepsize= 1.000000
+dualbound = 2143382.018477, lowerbound=1116802.018477, norm of subgrad 1057.514548 dualbound = 2143382.018477, lowerbound=1116802.018477, norm of subgrad 42.069091 stepsize= 1.000000
+dualbound = 2143656.215347, lowerbound=1114770.215347, norm of subgrad 1056.555827 dualbound = 2143656.215347, lowerbound=1114770.215347, norm of subgrad 42.593390 stepsize= 1.000000
+dualbound = 2143879.151194, lowerbound=1120579.151194, norm of subgrad 1059.286152 dualbound = 2143879.151194, lowerbound=1120579.151194, norm of subgrad 41.604517 stepsize= 1.000000
+dualbound = 2144131.273779, lowerbound=1112031.273779, norm of subgrad 1055.262656 dualbound = 2144131.273779, lowerbound=1112031.273779, norm of subgrad 42.427852 stepsize= 1.000000
+dualbound = 2144372.185948, lowerbound=1120616.185948, norm of subgrad 1059.293248 dualbound = 2144372.185948, lowerbound=1120616.185948, norm of subgrad 41.556133 stepsize= 1.000000
+dualbound = 2144667.020938, lowerbound=1113725.020938, norm of subgrad 1056.033627 dualbound = 2144667.020938, lowerbound=1113725.020938, norm of subgrad 42.152521 stepsize= 1.000000
+dualbound = 2144888.885254, lowerbound=1116644.885254, norm of subgrad 1057.405261 dualbound = 2144888.885254, lowerbound=1116644.885254, norm of subgrad 41.022729 stepsize= 1.000000
+dualbound = 2145173.109244, lowerbound=1118307.109244, norm of subgrad 1058.194268 dualbound = 2145173.109244, lowerbound=1118307.109244, norm of subgrad 41.859575 stepsize= 1.000000
+dualbound = 2145380.357887, lowerbound=1117279.357887, norm of subgrad 1057.715159 dualbound = 2145380.357887, lowerbound=1117279.357887, norm of subgrad 41.100470 stepsize= 1.000000
+dualbound = 2145670.807019, lowerbound=1117647.807019, norm of subgrad 1057.877501 dualbound = 2145670.807019, lowerbound=1117647.807019, norm of subgrad 41.802502 stepsize= 1.000000
+dualbound = 2145898.378790, lowerbound=1117082.378790, norm of subgrad 1057.649932 dualbound = 2145898.378790, lowerbound=1117082.378790, norm of subgrad 42.054391 stepsize= 1.000000
+dualbound = 2146120.325914, lowerbound=1116063.325914, norm of subgrad 1057.185095 dualbound = 2146120.325914, lowerbound=1116063.325914, norm of subgrad 42.413997 stepsize= 1.000000
+dualbound = 2146379.560354, lowerbound=1117281.560354, norm of subgrad 1057.718091 dualbound = 2146379.560354, lowerbound=1117281.560354, norm of subgrad 41.776003 stepsize= 1.000000
+dualbound = 2146637.550833, lowerbound=1115613.550833, norm of subgrad 1056.917949 dualbound = 2146637.550833, lowerbound=1115613.550833, norm of subgrad 41.472768 stepsize= 1.000000
+dualbound = 2146880.611587, lowerbound=1116386.611587, norm of subgrad 1057.336092 dualbound = 2146880.611587, lowerbound=1116386.611587, norm of subgrad 42.615264 stepsize= 1.000000
+dualbound = 2147107.638985, lowerbound=1117889.638985, norm of subgrad 1058.044252 dualbound = 2147107.638985, lowerbound=1117889.638985, norm of subgrad 42.367764 stepsize= 1.000000
+dualbound = 2147356.852214, lowerbound=1114659.852214, norm of subgrad 1056.459111 dualbound = 2147356.852214, lowerbound=1114659.852214, norm of subgrad 41.172967 stepsize= 1.000000
+dualbound = 2147622.835055, lowerbound=1115711.835055, norm of subgrad 1056.970120 dualbound = 2147622.835055, lowerbound=1115711.835055, norm of subgrad 41.713102 stepsize= 1.000000
+dualbound = 2147855.028801, lowerbound=1118073.028801, norm of subgrad 1058.125715 dualbound = 2147855.028801, lowerbound=1118073.028801, norm of subgrad 42.298862 stepsize= 1.000000
+dualbound = 2148110.912022, lowerbound=1118593.912022, norm of subgrad 1058.359066 dualbound = 2148110.912022, lowerbound=1118593.912022, norm of subgrad 42.259712 stepsize= 1.000000
+dualbound = 2148359.448338, lowerbound=1118978.448338, norm of subgrad 1058.552997 dualbound = 2148359.448338, lowerbound=1118978.448338, norm of subgrad 42.479834 stepsize= 1.000000
+dualbound = 2148609.844090, lowerbound=1113516.844090, norm of subgrad 1055.965361 dualbound = 2148609.844090, lowerbound=1113516.844090, norm of subgrad 42.383909 stepsize= 1.000000
+dualbound = 2148849.259575, lowerbound=1119326.259575, norm of subgrad 1058.714437 dualbound = 2148849.259575, lowerbound=1119326.259575, norm of subgrad 42.301483 stepsize= 1.000000
+dualbound = 2149104.876941, lowerbound=1116021.876941, norm of subgrad 1057.163127 dualbound = 2149104.876941, lowerbound=1116021.876941, norm of subgrad 42.750642 stepsize= 1.000000
+dualbound = 2149341.829466, lowerbound=1119243.829466, norm of subgrad 1058.675507 dualbound = 2149341.829466, lowerbound=1119243.829466, norm of subgrad 42.272361 stepsize= 1.000000
+dualbound = 2149600.587858, lowerbound=1112500.587858, norm of subgrad 1055.492107 dualbound = 2149600.587858, lowerbound=1112500.587858, norm of subgrad 42.682062 stepsize= 1.000000
+dualbound = 2149839.264171, lowerbound=1119763.264171, norm of subgrad 1058.914191 dualbound = 2149839.264171, lowerbound=1119763.264171, norm of subgrad 42.126907 stepsize= 1.000000
+dualbound = 2150098.998953, lowerbound=1116245.998953, norm of subgrad 1057.240275 dualbound = 2150098.998953, lowerbound=1116245.998953, norm of subgrad 42.080100 stepsize= 1.000000
+dualbound = 2150346.180247, lowerbound=1117881.180247, norm of subgrad 1058.009064 dualbound = 2150346.180247, lowerbound=1117881.180247, norm of subgrad 41.823215 stepsize= 1.000000
+dualbound = 2150577.386675, lowerbound=1114776.386675, norm of subgrad 1056.552595 dualbound = 2150577.386675, lowerbound=1114776.386675, norm of subgrad 41.930972 stepsize= 1.000000
+dualbound = 2150828.476945, lowerbound=1119443.476945, norm of subgrad 1058.782072 dualbound = 2150828.476945, lowerbound=1119443.476945, norm of subgrad 42.744476 stepsize= 1.000000
+dualbound = 2151066.277111, lowerbound=1119865.277111, norm of subgrad 1058.976051 dualbound = 2151066.277111, lowerbound=1119865.277111, norm of subgrad 42.459394 stepsize= 1.000000
+dualbound = 2151330.620950, lowerbound=1116137.620950, norm of subgrad 1057.189964 dualbound = 2151330.620950, lowerbound=1116137.620950, norm of subgrad 42.158556 stepsize= 1.000000
+dualbound = 2151578.573763, lowerbound=1118238.573763, norm of subgrad 1058.169917 dualbound = 2151578.573763, lowerbound=1118238.573763, norm of subgrad 41.628750 stepsize= 1.000000
+dualbound = 2151849.418269, lowerbound=1118238.418269, norm of subgrad 1058.181184 dualbound = 2151849.418269, lowerbound=1118238.418269, norm of subgrad 42.188203 stepsize= 1.000000
+dualbound = 2152065.274855, lowerbound=1115711.274855, norm of subgrad 1057.002022 dualbound = 2152065.274855, lowerbound=1115711.274855, norm of subgrad 41.926800 stepsize= 1.000000
+dualbound = 2152308.296059, lowerbound=1118918.296059, norm of subgrad 1058.519389 dualbound = 2152308.296059, lowerbound=1118918.296059, norm of subgrad 42.285000 stepsize= 1.000000
+dualbound = 2152560.222332, lowerbound=1114335.222332, norm of subgrad 1056.343326 dualbound = 2152560.222332, lowerbound=1114335.222332, norm of subgrad 42.165463 stepsize= 1.000000
+dualbound = 2152802.029215, lowerbound=1119142.029215, norm of subgrad 1058.611368 dualbound = 2152802.029215, lowerbound=1119142.029215, norm of subgrad 41.926208 stepsize= 1.000000
+dualbound = 2153078.160721, lowerbound=1118399.160721, norm of subgrad 1058.275560 dualbound = 2153078.160721, lowerbound=1118399.160721, norm of subgrad 42.709853 stepsize= 1.000000
+dualbound = 2153297.303758, lowerbound=1118016.303758, norm of subgrad 1058.083789 dualbound = 2153297.303758, lowerbound=1118016.303758, norm of subgrad 41.762939 stepsize= 1.000000
+dualbound = 2153559.866920, lowerbound=1119135.866920, norm of subgrad 1058.603735 dualbound = 2153559.866920, lowerbound=1119135.866920, norm of subgrad 42.054288 stepsize= 1.000000
+dualbound = 2153772.051476, lowerbound=1119786.051476, norm of subgrad 1058.948559 dualbound = 2153772.051476, lowerbound=1119786.051476, norm of subgrad 42.405006 stepsize= 1.000000
+dualbound = 2154030.809670, lowerbound=1115674.809670, norm of subgrad 1056.972000 dualbound = 2154030.809670, lowerbound=1115674.809670, norm of subgrad 42.116009 stepsize= 1.000000
+dualbound = 2154290.216600, lowerbound=1119651.216600, norm of subgrad 1058.832478 dualbound = 2154290.216600, lowerbound=1119651.216600, norm of subgrad 41.646211 stepsize= 1.000000
+dualbound = 2154541.634396, lowerbound=1115985.634396, norm of subgrad 1057.118080 dualbound = 2154541.634396, lowerbound=1115985.634396, norm of subgrad 42.004973 stepsize= 1.000000
+dualbound = 2154788.466118, lowerbound=1119372.466118, norm of subgrad 1058.756094 dualbound = 2154788.466118, lowerbound=1119372.466118, norm of subgrad 42.881601 stepsize= 1.000000
+dualbound = 2155002.171781, lowerbound=1120423.171781, norm of subgrad 1059.239903 dualbound = 2155002.171781, lowerbound=1120423.171781, norm of subgrad 42.186558 stepsize= 1.000000
+dualbound = 2155283.375672, lowerbound=1116554.375672, norm of subgrad 1057.360570 dualbound = 2155283.375672, lowerbound=1116554.375672, norm of subgrad 41.691772 stepsize= 1.000000
+dualbound = 2155515.720419, lowerbound=1114559.720419, norm of subgrad 1056.430178 dualbound = 2155515.720419, lowerbound=1114559.720419, norm of subgrad 41.440858 stepsize= 1.000000
+dualbound = 2155783.561137, lowerbound=1120523.561137, norm of subgrad 1059.238198 dualbound = 2155783.561137, lowerbound=1120523.561137, norm of subgrad 41.591354 stepsize= 1.000000
+dualbound = 2156037.294194, lowerbound=1115787.294194, norm of subgrad 1057.002031 dualbound = 2156037.294194, lowerbound=1115787.294194, norm of subgrad 41.469664 stepsize= 1.000000
+dualbound = 2156267.130780, lowerbound=1119249.130780, norm of subgrad 1058.673288 dualbound = 2156267.130780, lowerbound=1119249.130780, norm of subgrad 42.069426 stepsize= 1.000000
+dualbound = 2156502.643983, lowerbound=1114809.643983, norm of subgrad 1056.571646 dualbound = 2156502.643983, lowerbound=1114809.643983, norm of subgrad 42.065582 stepsize= 1.000000
+dualbound = 2156754.474286, lowerbound=1122496.474286, norm of subgrad 1060.204449 dualbound = 2156754.474286, lowerbound=1122496.474286, norm of subgrad 42.294566 stepsize= 1.000000
+dualbound = 2156977.217530, lowerbound=1120323.217530, norm of subgrad 1059.154010 dualbound = 2156977.217530, lowerbound=1120323.217530, norm of subgrad 41.312749 stepsize= 1.000000
+dualbound = 2157253.090338, lowerbound=1118550.090338, norm of subgrad 1058.298677 dualbound = 2157253.090338, lowerbound=1118550.090338, norm of subgrad 41.495455 stepsize= 1.000000
+dualbound = 2157497.297053, lowerbound=1114713.297053, norm of subgrad 1056.489610 dualbound = 2157497.297053, lowerbound=1114713.297053, norm of subgrad 41.245687 stepsize= 1.000000
+dualbound = 2157739.792798, lowerbound=1120697.792798, norm of subgrad 1059.375662 dualbound = 2157739.792798, lowerbound=1120697.792798, norm of subgrad 42.678985 stepsize= 1.000000
+dualbound = 2157965.864007, lowerbound=1116603.864007, norm of subgrad 1057.404305 dualbound = 2157965.864007, lowerbound=1116603.864007, norm of subgrad 41.546013 stepsize= 1.000000
+dualbound = 2158204.860169, lowerbound=1114284.860169, norm of subgrad 1056.331321 dualbound = 2158204.860169, lowerbound=1114284.860169, norm of subgrad 42.308346 stepsize= 1.000000
+dualbound = 2158464.938649, lowerbound=1120043.938649, norm of subgrad 1059.059459 dualbound = 2158464.938649, lowerbound=1120043.938649, norm of subgrad 42.697523 stepsize= 1.000000
+dualbound = 2158701.928260, lowerbound=1119361.928260, norm of subgrad 1058.729866 dualbound = 2158701.928260, lowerbound=1119361.928260, norm of subgrad 42.237301 stepsize= 1.000000
+dualbound = 2158946.676398, lowerbound=1116644.676398, norm of subgrad 1057.453865 dualbound = 2158946.676398, lowerbound=1116644.676398, norm of subgrad 42.529380 stepsize= 1.000000
+dualbound = 2159185.281295, lowerbound=1118422.281295, norm of subgrad 1058.281286 dualbound = 2159185.281295, lowerbound=1118422.281295, norm of subgrad 42.137927 stepsize= 1.000000
+dualbound = 2159458.242450, lowerbound=1118954.242450, norm of subgrad 1058.541092 dualbound = 2159458.242450, lowerbound=1118954.242450, norm of subgrad 42.754662 stepsize= 1.000000
+dualbound = 2159672.857262, lowerbound=1120196.857262, norm of subgrad 1059.103799 dualbound = 2159672.857262, lowerbound=1120196.857262, norm of subgrad 41.456179 stepsize= 1.000000
+dualbound = 2159952.705604, lowerbound=1116580.705604, norm of subgrad 1057.361672 dualbound = 2159952.705604, lowerbound=1116580.705604, norm of subgrad 41.386572 stepsize= 1.000000
+dualbound = 2160212.454185, lowerbound=1118138.454185, norm of subgrad 1058.124971 dualbound = 2160212.454185, lowerbound=1118138.454185, norm of subgrad 41.829996 stepsize= 1.000000
+dualbound = 2160452.248345, lowerbound=1118849.248345, norm of subgrad 1058.455123 dualbound = 2160452.248345, lowerbound=1118849.248345, norm of subgrad 41.446280 stepsize= 1.000000
+dualbound = 2160690.187968, lowerbound=1116847.187968, norm of subgrad 1057.505172 dualbound = 2160690.187968, lowerbound=1116847.187968, norm of subgrad 41.327226 stepsize= 1.000000
+dualbound = 2160928.140715, lowerbound=1120713.140715, norm of subgrad 1059.344203 dualbound = 2160928.140715, lowerbound=1120713.140715, norm of subgrad 41.652764 stepsize= 1.000000
+dualbound = 2161165.963875, lowerbound=1121050.963875, norm of subgrad 1059.527708 dualbound = 2161165.963875, lowerbound=1121050.963875, norm of subgrad 42.259001 stepsize= 1.000000
+dualbound = 2161392.897948, lowerbound=1116072.897948, norm of subgrad 1057.172596 dualbound = 2161392.897948, lowerbound=1116072.897948, norm of subgrad 42.046808 stepsize= 1.000000
+dualbound = 2161658.563106, lowerbound=1123226.563106, norm of subgrad 1060.568981 dualbound = 2161658.563106, lowerbound=1123226.563106, norm of subgrad 42.961205 stepsize= 1.000000
+dualbound = 2161873.757641, lowerbound=1119309.757641, norm of subgrad 1058.707588 dualbound = 2161873.757641, lowerbound=1119309.757641, norm of subgrad 42.038013 stepsize= 1.000000
+dualbound = 2162137.626794, lowerbound=1122595.626794, norm of subgrad 1060.245079 dualbound = 2162137.626794, lowerbound=1122595.626794, norm of subgrad 42.283202 stepsize= 1.000000
+dualbound = 2162392.837901, lowerbound=1121862.837900, norm of subgrad 1059.898975 dualbound = 2162392.837901, lowerbound=1121862.837900, norm of subgrad 42.168840 stepsize= 1.000000
+dualbound = 2162628.754525, lowerbound=1119815.754525, norm of subgrad 1058.901201 dualbound = 2162628.754525, lowerbound=1119815.754525, norm of subgrad 41.132914 stepsize= 1.000000
+dualbound = 2162876.695647, lowerbound=1118096.695647, norm of subgrad 1058.113744 dualbound = 2162876.695647, lowerbound=1118096.695647, norm of subgrad 41.903951 stepsize= 1.000000
+dualbound = 2163117.774538, lowerbound=1119597.774538, norm of subgrad 1058.800630 dualbound = 2163117.774538, lowerbound=1119597.774538, norm of subgrad 41.256259 stepsize= 1.000000
+dualbound = 2163359.566337, lowerbound=1119977.566337, norm of subgrad 1058.980909 dualbound = 2163359.566337, lowerbound=1119977.566337, norm of subgrad 41.289124 stepsize= 1.000000
+dualbound = 2163603.807370, lowerbound=1122419.807370, norm of subgrad 1060.171593 dualbound = 2163603.807370, lowerbound=1122419.807370, norm of subgrad 42.287599 stepsize= 1.000000
+dualbound = 2163825.769977, lowerbound=1117450.769977, norm of subgrad 1057.821237 dualbound = 2163825.769977, lowerbound=1117450.769977, norm of subgrad 41.916138 stepsize= 1.000000
+dualbound = 2164072.683189, lowerbound=1124801.683189, norm of subgrad 1061.289161 dualbound = 2164072.683189, lowerbound=1124801.683189, norm of subgrad 42.189018 stepsize= 1.000000
+dualbound = 2164315.695892, lowerbound=1117920.695892, norm of subgrad 1058.038135 dualbound = 2164315.695892, lowerbound=1117920.695892, norm of subgrad 42.035850 stepsize= 1.000000
+dualbound = 2164553.904535, lowerbound=1118753.904535, norm of subgrad 1058.432759 dualbound = 2164553.904535, lowerbound=1118753.904535, norm of subgrad 42.002484 stepsize= 1.000000
+dualbound = 2164791.637108, lowerbound=1119981.637108, norm of subgrad 1058.988497 dualbound = 2164791.637108, lowerbound=1119981.637108, norm of subgrad 41.385173 stepsize= 1.000000
+dualbound = 2165072.786354, lowerbound=1125196.786354, norm of subgrad 1061.454562 dualbound = 2165072.786354, lowerbound=1125196.786354, norm of subgrad 42.073142 stepsize= 1.000000
+dualbound = 2165290.090125, lowerbound=1119331.090125, norm of subgrad 1058.682242 dualbound = 2165290.090125, lowerbound=1119331.090125, norm of subgrad 41.161921 stepsize= 1.000000
+dualbound = 2165520.385974, lowerbound=1122480.385974, norm of subgrad 1060.220442 dualbound = 2165520.385974, lowerbound=1122480.385974, norm of subgrad 42.629753 stepsize= 1.000000
+dualbound = 2165751.823168, lowerbound=1119481.823168, norm of subgrad 1058.780819 dualbound = 2165751.823168, lowerbound=1119481.823168, norm of subgrad 42.029004 stepsize= 1.000000
+dualbound = 2166023.632981, lowerbound=1121793.632981, norm of subgrad 1059.825756 dualbound = 2166023.632981, lowerbound=1121793.632981, norm of subgrad 41.337753 stepsize= 1.000000
+dualbound = 2166269.013651, lowerbound=1120243.013651, norm of subgrad 1059.140224 dualbound = 2166269.013651, lowerbound=1120243.013651, norm of subgrad 42.194557 stepsize= 1.000000
+dualbound = 2166497.152205, lowerbound=1121807.152205, norm of subgrad 1059.880725 dualbound = 2166497.152205, lowerbound=1121807.152205, norm of subgrad 42.049240 stepsize= 1.000000
+dualbound = 2166718.729267, lowerbound=1117255.729267, norm of subgrad 1057.711080 dualbound = 2166718.729267, lowerbound=1117255.729267, norm of subgrad 41.455724 stepsize= 1.000000
+dualbound = 2166976.217673, lowerbound=1125196.217673, norm of subgrad 1061.468896 dualbound = 2166976.217673, lowerbound=1125196.217673, norm of subgrad 42.160270 stepsize= 1.000000
+dualbound = 2167217.533346, lowerbound=1116880.533346, norm of subgrad 1057.536067 dualbound = 2167217.533346, lowerbound=1116880.533346, norm of subgrad 41.753032 stepsize= 1.000000
+dualbound = 2167456.992392, lowerbound=1124694.992392, norm of subgrad 1061.229943 dualbound = 2167456.992392, lowerbound=1124694.992392, norm of subgrad 41.874324 stepsize= 1.000000
+dualbound = 2167689.324030, lowerbound=1118521.324030, norm of subgrad 1058.302567 dualbound = 2167689.324030, lowerbound=1118521.324030, norm of subgrad 41.416562 stepsize= 1.000000
+dualbound = 2167958.876980, lowerbound=1119124.876980, norm of subgrad 1058.589570 dualbound = 2167958.876980, lowerbound=1119124.876980, norm of subgrad 41.911251 stepsize= 1.000000
+dualbound = 2168171.105206, lowerbound=1122486.105206, norm of subgrad 1060.196258 dualbound = 2168171.105206, lowerbound=1122486.105206, norm of subgrad 41.740008 stepsize= 1.000000
+dualbound = 2168427.781669, lowerbound=1124165.781669, norm of subgrad 1061.017805 dualbound = 2168427.781669, lowerbound=1124165.781669, norm of subgrad 43.007865 stepsize= 1.000000
+dualbound = 2168649.701645, lowerbound=1118695.701645, norm of subgrad 1058.398650 dualbound = 2168649.701645, lowerbound=1118695.701645, norm of subgrad 41.640365 stepsize= 1.000000
+dualbound = 2168933.169893, lowerbound=1122168.169893, norm of subgrad 1060.030740 dualbound = 2168933.169893, lowerbound=1122168.169893, norm of subgrad 42.195595 stepsize= 1.000000
+dualbound = 2169139.784277, lowerbound=1121520.784277, norm of subgrad 1059.741848 dualbound = 2169139.784277, lowerbound=1121520.784277, norm of subgrad 41.696695 stepsize= 1.000000
+dualbound = 2169370.631651, lowerbound=1120683.631651, norm of subgrad 1059.335467 dualbound = 2169370.631651, lowerbound=1120683.631651, norm of subgrad 41.699489 stepsize= 1.000000
+dualbound = 2169636.178655, lowerbound=1121715.178655, norm of subgrad 1059.825542 dualbound = 2169636.178655, lowerbound=1121715.178655, norm of subgrad 42.196528 stepsize= 1.000000
+dualbound = 2169869.205662, lowerbound=1120302.205662, norm of subgrad 1059.130873 dualbound = 2169869.205662, lowerbound=1120302.205662, norm of subgrad 41.097774 stepsize= 1.000000
+dualbound = 2170114.378049, lowerbound=1120639.378049, norm of subgrad 1059.299003 dualbound = 2170114.378049, lowerbound=1120639.378049, norm of subgrad 41.474961 stepsize= 1.000000
+dualbound = 2170346.487038, lowerbound=1117653.487038, norm of subgrad 1057.904290 dualbound = 2170346.487038, lowerbound=1117653.487038, norm of subgrad 41.714614 stepsize= 1.000000
+dualbound = 2170576.530525, lowerbound=1122805.530525, norm of subgrad 1060.343119 dualbound = 2170576.530525, lowerbound=1122805.530525, norm of subgrad 41.857419 stepsize= 1.000000
+dualbound = 2170837.377932, lowerbound=1121368.377932, norm of subgrad 1059.662861 dualbound = 2170837.377932, lowerbound=1121368.377932, norm of subgrad 42.164528 stepsize= 1.000000
+dualbound = 2171072.740149, lowerbound=1123943.740149, norm of subgrad 1060.886771 dualbound = 2171072.740149, lowerbound=1123943.740149, norm of subgrad 42.099433 stepsize= 1.000000
+dualbound = 2171326.073308, lowerbound=1121373.073308, norm of subgrad 1059.655167 dualbound = 2171326.073308, lowerbound=1121373.073308, norm of subgrad 41.825030 stepsize= 1.000000
+dualbound = 2171570.920415, lowerbound=1120657.920415, norm of subgrad 1059.310587 dualbound = 2171570.920415, lowerbound=1120657.920415, norm of subgrad 41.543316 stepsize= 1.000000
+dualbound = 2171817.550139, lowerbound=1120898.550139, norm of subgrad 1059.410473 dualbound = 2171817.550139, lowerbound=1120898.550139, norm of subgrad 41.214436 stepsize= 1.000000
+dualbound = 2172039.637969, lowerbound=1122111.637969, norm of subgrad 1060.035206 dualbound = 2172039.637969, lowerbound=1122111.637969, norm of subgrad 42.250300 stepsize= 1.000000
+dualbound = 2172264.096911, lowerbound=1124578.096911, norm of subgrad 1061.184761 dualbound = 2172264.096911, lowerbound=1124578.096911, norm of subgrad 41.945905 stepsize= 1.000000
+dualbound = 2172551.116805, lowerbound=1118084.116805, norm of subgrad 1058.067633 dualbound = 2172551.116805, lowerbound=1118084.116805, norm of subgrad 41.352387 stepsize= 1.000000
+dualbound = 2172778.250335, lowerbound=1121898.250335, norm of subgrad 1059.884546 dualbound = 2172778.250335, lowerbound=1121898.250335, norm of subgrad 41.038196 stepsize= 1.000000
+dualbound = 2173016.860024, lowerbound=1119239.860024, norm of subgrad 1058.632542 dualbound = 2173016.860024, lowerbound=1119239.860024, norm of subgrad 41.250572 stepsize= 1.000000
+dualbound = 2173244.266098, lowerbound=1122220.266098, norm of subgrad 1060.043993 dualbound = 2173244.266098, lowerbound=1122220.266098, norm of subgrad 41.235980 stepsize= 1.000000
+dualbound = 2173483.563155, lowerbound=1120232.563155, norm of subgrad 1059.118295 dualbound = 2173483.563155, lowerbound=1120232.563155, norm of subgrad 41.692890 stepsize= 1.000000
+dualbound = 2173720.903422, lowerbound=1121762.903422, norm of subgrad 1059.833432 dualbound = 2173720.903422, lowerbound=1121762.903422, norm of subgrad 41.489038 stepsize= 1.000000
+dualbound = 2173985.532032, lowerbound=1124684.532032, norm of subgrad 1061.206168 dualbound = 2173985.532032, lowerbound=1124684.532032, norm of subgrad 41.696866 stepsize= 1.000000
+dualbound = 2174208.767792, lowerbound=1118557.767792, norm of subgrad 1058.335848 dualbound = 2174208.767792, lowerbound=1118557.767792, norm of subgrad 41.716133 stepsize= 1.000000
+dualbound = 2174458.345135, lowerbound=1121768.345135, norm of subgrad 1059.861475 dualbound = 2174458.345135, lowerbound=1121768.345135, norm of subgrad 42.279751 stepsize= 1.000000
+dualbound = 2174679.080741, lowerbound=1122508.080741, norm of subgrad 1060.211338 dualbound = 2174679.080741, lowerbound=1122508.080741, norm of subgrad 41.961120 stepsize= 1.000000
+dualbound = 2174943.864211, lowerbound=1117792.864211, norm of subgrad 1057.978196 dualbound = 2174943.864211, lowerbound=1117792.864211, norm of subgrad 42.305833 stepsize= 1.000000
+dualbound = 2175169.261590, lowerbound=1124002.261590, norm of subgrad 1060.930375 dualbound = 2175169.261590, lowerbound=1124002.261590, norm of subgrad 42.383928 stepsize= 1.000000
+dualbound = 2175392.268073, lowerbound=1118782.268073, norm of subgrad 1058.462219 dualbound = 2175392.268073, lowerbound=1118782.268073, norm of subgrad 42.225661 stepsize= 1.000000
+dualbound = 2175638.705616, lowerbound=1122337.705616, norm of subgrad 1060.139475 dualbound = 2175638.705616, lowerbound=1122337.705616, norm of subgrad 42.478672 stepsize= 1.000000
+dualbound = 2175892.222867, lowerbound=1121715.222867, norm of subgrad 1059.787348 dualbound = 2175892.222867, lowerbound=1121715.222867, norm of subgrad 41.079402 stepsize= 1.000000
+dualbound = 2176117.850490, lowerbound=1119632.850490, norm of subgrad 1058.829000 dualbound = 2176117.850490, lowerbound=1119632.850490, norm of subgrad 41.371822 stepsize= 1.000000
+dualbound = 2176372.684141, lowerbound=1122668.684141, norm of subgrad 1060.249822 dualbound = 2176372.684141, lowerbound=1122668.684141, norm of subgrad 41.422622 stepsize= 1.000000
+dualbound = 2176636.782659, lowerbound=1122084.782659, norm of subgrad 1059.982445 dualbound = 2176636.782659, lowerbound=1122084.782659, norm of subgrad 41.738454 stepsize= 1.000000
+dualbound = 2176836.230140, lowerbound=1125898.230140, norm of subgrad 1061.803763 dualbound = 2176836.230140, lowerbound=1125898.230140, norm of subgrad 41.574601 stepsize= 1.000000
+dualbound = 2177105.058271, lowerbound=1119849.058271, norm of subgrad 1058.938647 dualbound = 2177105.058271, lowerbound=1119849.058271, norm of subgrad 42.081209 stepsize= 1.000000
+dualbound = 2177318.142672, lowerbound=1118023.142672, norm of subgrad 1058.077569 dualbound = 2177318.142672, lowerbound=1118023.142672, norm of subgrad 41.449782 stepsize= 1.000000
+dualbound = 2177575.990791, lowerbound=1124394.990791, norm of subgrad 1061.131467 dualbound = 2177575.990791, lowerbound=1124394.990791, norm of subgrad 43.160724 stepsize= 1.000000
+dualbound = 2177796.973578, lowerbound=1120429.973578, norm of subgrad 1059.198741 dualbound = 2177796.973578, lowerbound=1120429.973578, norm of subgrad 41.145872 stepsize= 1.000000
+dualbound = 2178080.144916, lowerbound=1123210.144916, norm of subgrad 1060.498065 dualbound = 2178080.144916, lowerbound=1123210.144916, norm of subgrad 41.583306 stepsize= 1.000000
+dualbound = 2178296.938199, lowerbound=1121320.938199, norm of subgrad 1059.631511 dualbound = 2178296.938199, lowerbound=1121320.938199, norm of subgrad 41.410063 stepsize= 1.000000
+dualbound = 2178520.038829, lowerbound=1125842.038829, norm of subgrad 1061.761291 dualbound = 2178520.038829, lowerbound=1125842.038829, norm of subgrad 41.449977 stepsize= 1.000000
+dualbound = 2178765.833897, lowerbound=1118364.833897, norm of subgrad 1058.258869 dualbound = 2178765.833897, lowerbound=1118364.833897, norm of subgrad 42.341411 stepsize= 1.000000
+dualbound = 2179000.494042, lowerbound=1126694.494042, norm of subgrad 1062.190893 dualbound = 2179000.494042, lowerbound=1126694.494042, norm of subgrad 42.304375 stepsize= 1.000000
+dualbound = 2179216.497010, lowerbound=1122723.497010, norm of subgrad 1060.340746 dualbound = 2179216.497010, lowerbound=1122723.497010, norm of subgrad 42.602852 stepsize= 1.000000
+dualbound = 2179462.819239, lowerbound=1122188.819239, norm of subgrad 1060.040008 dualbound = 2179462.819239, lowerbound=1122188.819239, norm of subgrad 41.741134 stepsize= 1.000000
+dualbound = 2179731.228571, lowerbound=1118274.228571, norm of subgrad 1058.163139 dualbound = 2179731.228571, lowerbound=1118274.228571, norm of subgrad 41.272380 stepsize= 1.000000
+dualbound = 2179991.794061, lowerbound=1124434.794061, norm of subgrad 1061.067290 dualbound = 2179991.794061, lowerbound=1124434.794061, norm of subgrad 41.104324 stepsize= 1.000000
+dualbound = 2180204.246078, lowerbound=1122319.246078, norm of subgrad 1060.093980 dualbound = 2180204.246078, lowerbound=1122319.246078, norm of subgrad 41.139422 stepsize= 1.000000
+dualbound = 2180456.816756, lowerbound=1125626.816756, norm of subgrad 1061.628851 dualbound = 2180456.816756, lowerbound=1125626.816756, norm of subgrad 41.006959 stepsize= 1.000000
+dualbound = 2180687.726546, lowerbound=1119052.726546, norm of subgrad 1058.590443 dualbound = 2180687.726546, lowerbound=1119052.726546, norm of subgrad 42.330955 stepsize= 1.000000
+dualbound = 2180923.646273, lowerbound=1124988.646273, norm of subgrad 1061.375827 dualbound = 2180923.646273, lowerbound=1124988.646273, norm of subgrad 42.022848 stepsize= 1.000000
+dualbound = 2181149.928635, lowerbound=1116552.928635, norm of subgrad 1057.401971 dualbound = 2181149.928635, lowerbound=1116552.928635, norm of subgrad 42.098484 stepsize= 1.000000
+dualbound = 2181407.432936, lowerbound=1123158.432936, norm of subgrad 1060.515173 dualbound = 2181407.432936, lowerbound=1123158.432936, norm of subgrad 42.326166 stepsize= 1.000000
+dualbound = 2181623.420787, lowerbound=1124601.420787, norm of subgrad 1061.207530 dualbound = 2181623.420787, lowerbound=1124601.420787, norm of subgrad 42.142471 stepsize= 1.000000
+dualbound = 2181879.028302, lowerbound=1121527.028302, norm of subgrad 1059.724506 dualbound = 2181879.028302, lowerbound=1121527.028302, norm of subgrad 41.768499 stepsize= 1.000000
+dualbound = 2182134.819340, lowerbound=1119783.819340, norm of subgrad 1058.885650 dualbound = 2182134.819340, lowerbound=1119783.819340, norm of subgrad 41.361710 stepsize= 1.000000
+dualbound = 2182393.059503, lowerbound=1122206.059503, norm of subgrad 1060.030216 dualbound = 2182393.059503, lowerbound=1122206.059503, norm of subgrad 41.427529 stepsize= 1.000000
+dualbound = 2182620.085541, lowerbound=1120961.085541, norm of subgrad 1059.452729 dualbound = 2182620.085541, lowerbound=1120961.085541, norm of subgrad 41.304068 stepsize= 1.000000
+dualbound = 2182860.036502, lowerbound=1124566.036502, norm of subgrad 1061.155048 dualbound = 2182860.036502, lowerbound=1124566.036502, norm of subgrad 41.520488 stepsize= 1.000000
+dualbound = 2183100.041704, lowerbound=1120752.041704, norm of subgrad 1059.376723 dualbound = 2183100.041704, lowerbound=1120752.041704, norm of subgrad 42.035761 stepsize= 1.000000
+dualbound = 2183323.436437, lowerbound=1125043.436437, norm of subgrad 1061.384208 dualbound = 2183323.436437, lowerbound=1125043.436437, norm of subgrad 41.429395 stepsize= 1.000000
+dualbound = 2183577.264050, lowerbound=1122803.264050, norm of subgrad 1060.322245 dualbound = 2183577.264050, lowerbound=1122803.264050, norm of subgrad 41.639256 stepsize= 1.000000
+dualbound = 2183805.286462, lowerbound=1122696.286462, norm of subgrad 1060.291133 dualbound = 2183805.286462, lowerbound=1122696.286462, norm of subgrad 41.821315 stepsize= 1.000000
+dualbound = 2184052.331987, lowerbound=1119252.331987, norm of subgrad 1058.682829 dualbound = 2184052.331987, lowerbound=1119252.331987, norm of subgrad 42.474057 stepsize= 1.000000
+dualbound = 2184272.100931, lowerbound=1122076.100931, norm of subgrad 1060.001463 dualbound = 2184272.100931, lowerbound=1122076.100931, norm of subgrad 41.794365 stepsize= 1.000000
+dualbound = 2184508.946763, lowerbound=1121686.946763, norm of subgrad 1059.811279 dualbound = 2184508.946763, lowerbound=1121686.946763, norm of subgrad 41.831159 stepsize= 1.000000
+dualbound = 2184761.102639, lowerbound=1121569.102639, norm of subgrad 1059.776440 dualbound = 2184761.102639, lowerbound=1121569.102639, norm of subgrad 42.534173 stepsize= 1.000000
+dualbound = 2184969.441403, lowerbound=1126062.441402, norm of subgrad 1061.898037 dualbound = 2184969.441403, lowerbound=1126062.441402, norm of subgrad 42.111029 stepsize= 1.000000
+dualbound = 2185235.421489, lowerbound=1122715.421489, norm of subgrad 1060.297327 dualbound = 2185235.421489, lowerbound=1122715.421489, norm of subgrad 42.201660 stepsize= 1.000000
+dualbound = 2185479.241258, lowerbound=1123572.241258, norm of subgrad 1060.679142 dualbound = 2185479.241258, lowerbound=1123572.241258, norm of subgrad 41.374144 stepsize= 1.000000
+dualbound = 2185735.176102, lowerbound=1123919.176102, norm of subgrad 1060.846443 dualbound = 2185735.176102, lowerbound=1123919.176102, norm of subgrad 41.616521 stepsize= 1.000000
+dualbound = 2185939.904333, lowerbound=1118199.904333, norm of subgrad 1058.190864 dualbound = 2185939.904333, lowerbound=1118199.904333, norm of subgrad 42.103779 stepsize= 1.000000
+dualbound = 2186202.372331, lowerbound=1124272.372331, norm of subgrad 1061.026094 dualbound = 2186202.372331, lowerbound=1124272.372331, norm of subgrad 42.029371 stepsize= 1.000000
+dualbound = 2186427.123386, lowerbound=1121757.123386, norm of subgrad 1059.837782 dualbound = 2186427.123386, lowerbound=1121757.123386, norm of subgrad 41.518081 stepsize= 1.000000
+dualbound = 2186674.286401, lowerbound=1120106.286401, norm of subgrad 1059.067650 dualbound = 2186674.286401, lowerbound=1120106.286401, norm of subgrad 42.013843 stepsize= 1.000000
+dualbound = 2186909.159957, lowerbound=1125620.159957, norm of subgrad 1061.674225 dualbound = 2186909.159957, lowerbound=1125620.159957, norm of subgrad 42.034195 stepsize= 1.000000
+dualbound = 2187143.120015, lowerbound=1122037.120015, norm of subgrad 1060.001000 dualbound = 2187143.120015, lowerbound=1122037.120015, norm of subgrad 42.414149 stepsize= 1.000000
+dualbound = 2187376.464134, lowerbound=1123596.464134, norm of subgrad 1060.732984 dualbound = 2187376.464134, lowerbound=1123596.464134, norm of subgrad 42.324273 stepsize= 1.000000
+dualbound = 2187628.868057, lowerbound=1122595.868057, norm of subgrad 1060.248965 dualbound = 2187628.868057, lowerbound=1122595.868057, norm of subgrad 42.242205 stepsize= 1.000000
+dualbound = 2187885.591590, lowerbound=1122867.591590, norm of subgrad 1060.365310 dualbound = 2187885.591590, lowerbound=1122867.591590, norm of subgrad 41.996709 stepsize= 1.000000
+dualbound = 2188112.931459, lowerbound=1122508.931459, norm of subgrad 1060.182971 dualbound = 2188112.931459, lowerbound=1122508.931459, norm of subgrad 41.307867 stepsize= 1.000000
+dualbound = 2188373.302415, lowerbound=1119497.302415, norm of subgrad 1058.771128 dualbound = 2188373.302415, lowerbound=1119497.302415, norm of subgrad 41.944856 stepsize= 1.000000
+dualbound = 2188585.769934, lowerbound=1122549.769934, norm of subgrad 1060.208833 dualbound = 2188585.769934, lowerbound=1122549.769934, norm of subgrad 41.297306 stepsize= 1.000000
+dualbound = 2188839.016204, lowerbound=1127166.016204, norm of subgrad 1062.388825 dualbound = 2188839.016204, lowerbound=1127166.016204, norm of subgrad 41.919521 stepsize= 1.000000
+dualbound = 2189058.986190, lowerbound=1123564.986190, norm of subgrad 1060.709190 dualbound = 2189058.986190, lowerbound=1123564.986190, norm of subgrad 41.940076 stepsize= 1.000000
+dualbound = 2189304.512222, lowerbound=1121713.512222, norm of subgrad 1059.830889 dualbound = 2189304.512222, lowerbound=1121713.512222, norm of subgrad 42.113252 stepsize= 1.000000
+dualbound = 2189552.822805, lowerbound=1121253.822805, norm of subgrad 1059.591819 dualbound = 2189552.822805, lowerbound=1121253.822805, norm of subgrad 41.584980 stepsize= 1.000000
+dualbound = 2189803.439890, lowerbound=1125881.439890, norm of subgrad 1061.783142 dualbound = 2189803.439890, lowerbound=1125881.439890, norm of subgrad 41.864270 stepsize= 1.000000
+dualbound = 2189999.662313, lowerbound=1121150.662313, norm of subgrad 1059.536060 dualbound = 2189999.662313, lowerbound=1121150.662313, norm of subgrad 40.770362 stepsize= 1.000000
+dualbound = 2190262.846177, lowerbound=1123118.846177, norm of subgrad 1060.499338 dualbound = 2190262.846177, lowerbound=1123118.846177, norm of subgrad 42.463912 stepsize= 1.000000
+dualbound = 2190470.841658, lowerbound=1124154.841658, norm of subgrad 1060.988144 dualbound = 2190470.841658, lowerbound=1124154.841658, norm of subgrad 41.820993 stepsize= 1.000000
+dualbound = 2190732.551608, lowerbound=1122332.551608, norm of subgrad 1060.119593 dualbound = 2190732.551608, lowerbound=1122332.551608, norm of subgrad 42.222150 stepsize= 1.000000
+dualbound = 2190968.483292, lowerbound=1123114.483292, norm of subgrad 1060.475593 dualbound = 2190968.483292, lowerbound=1123114.483292, norm of subgrad 41.592447 stepsize= 1.000000
+dualbound = 2191218.681369, lowerbound=1123748.681369, norm of subgrad 1060.782108 dualbound = 2191218.681369, lowerbound=1123748.681369, norm of subgrad 41.954715 stepsize= 1.000000
+dualbound = 2191439.645315, lowerbound=1121243.645315, norm of subgrad 1059.595038 dualbound = 2191439.645315, lowerbound=1121243.645315, norm of subgrad 41.460390 stepsize= 1.000000
+dualbound = 2191696.609379, lowerbound=1122664.609379, norm of subgrad 1060.242241 dualbound = 2191696.609379, lowerbound=1122664.609379, norm of subgrad 41.303318 stepsize= 1.000000
+dualbound = 2191934.269731, lowerbound=1121029.269731, norm of subgrad 1059.535403 dualbound = 2191934.269731, lowerbound=1121029.269731, norm of subgrad 42.704336 stepsize= 1.000000
+dualbound = 2192136.789592, lowerbound=1124724.789592, norm of subgrad 1061.293922 dualbound = 2192136.789592, lowerbound=1124724.789592, norm of subgrad 42.690981 stepsize= 1.000000
+dualbound = 2192362.222128, lowerbound=1120364.222128, norm of subgrad 1059.217741 dualbound = 2192362.222128, lowerbound=1120364.222128, norm of subgrad 42.466840 stepsize= 1.000000
+dualbound = 2192628.884611, lowerbound=1122084.884611, norm of subgrad 1060.005134 dualbound = 2192628.884611, lowerbound=1122084.884611, norm of subgrad 42.339845 stepsize= 1.000000
+dualbound = 2192881.376862, lowerbound=1120812.376862, norm of subgrad 1059.378769 dualbound = 2192881.376862, lowerbound=1120812.376862, norm of subgrad 41.514964 stepsize= 1.000000
+dualbound = 2193127.405474, lowerbound=1125461.405474, norm of subgrad 1061.582972 dualbound = 2193127.405474, lowerbound=1125461.405474, norm of subgrad 41.749594 stepsize= 1.000000
+dualbound = 2193348.751692, lowerbound=1123365.751692, norm of subgrad 1060.611499 dualbound = 2193348.751692, lowerbound=1123365.751692, norm of subgrad 41.861035 stepsize= 1.000000
+dualbound = 2193580.131023, lowerbound=1124862.131023, norm of subgrad 1061.321408 dualbound = 2193580.131023, lowerbound=1124862.131023, norm of subgrad 42.099636 stepsize= 1.000000
+dualbound = 2193844.417379, lowerbound=1119900.417379, norm of subgrad 1058.960064 dualbound = 2193844.417379, lowerbound=1119900.417379, norm of subgrad 41.955767 stepsize= 1.000000
+dualbound = 2194068.339723, lowerbound=1128996.339723, norm of subgrad 1063.259300 dualbound = 2194068.339723, lowerbound=1128996.339723, norm of subgrad 41.808161 stepsize= 1.000000
+dualbound = 2194302.344620, lowerbound=1123773.344620, norm of subgrad 1060.772523 dualbound = 2194302.344620, lowerbound=1123773.344620, norm of subgrad 41.218987 stepsize= 1.000000
+dualbound = 2194546.689176, lowerbound=1118852.689176, norm of subgrad 1058.455804 dualbound = 2194546.689176, lowerbound=1118852.689176, norm of subgrad 41.477036 stepsize= 1.000000
+dualbound = 2194779.584790, lowerbound=1125401.584790, norm of subgrad 1061.594831 dualbound = 2194779.584790, lowerbound=1125401.584790, norm of subgrad 42.601592 stepsize= 1.000000
+dualbound = 2195002.810373, lowerbound=1123387.810373, norm of subgrad 1060.633683 dualbound = 2195002.810373, lowerbound=1123387.810373, norm of subgrad 42.180868 stepsize= 1.000000
+dualbound = 2195267.611490, lowerbound=1120119.611490, norm of subgrad 1059.078662 dualbound = 2195267.611490, lowerbound=1120119.611490, norm of subgrad 42.341482 stepsize= 1.000000
+dualbound = 2195499.524135, lowerbound=1124931.524135, norm of subgrad 1061.365406 dualbound = 2195499.524135, lowerbound=1124931.524135, norm of subgrad 42.390006 stepsize= 1.000000
+dualbound = 2195704.371616, lowerbound=1124633.371616, norm of subgrad 1061.214574 dualbound = 2195704.371616, lowerbound=1124633.371616, norm of subgrad 41.807266 stepsize= 1.000000
+dualbound = 2195988.387565, lowerbound=1122123.387565, norm of subgrad 1060.006787 dualbound = 2195988.387565, lowerbound=1122123.387565, norm of subgrad 42.130938 stepsize= 1.000000
+dualbound = 2196212.765497, lowerbound=1122617.765497, norm of subgrad 1060.250803 dualbound = 2196212.765497, lowerbound=1122617.765497, norm of subgrad 41.693860 stepsize= 1.000000
+dualbound = 2196434.138684, lowerbound=1125314.138684, norm of subgrad 1061.528209 dualbound = 2196434.138684, lowerbound=1125314.138684, norm of subgrad 41.825509 stepsize= 1.000000
+dualbound = 2196680.716146, lowerbound=1120567.716146, norm of subgrad 1059.277922 dualbound = 2196680.716146, lowerbound=1120567.716146, norm of subgrad 41.815995 stepsize= 1.000000
+dualbound = 2196929.919157, lowerbound=1125532.919157, norm of subgrad 1061.657157 dualbound = 2196929.919157, lowerbound=1125532.919157, norm of subgrad 42.804241 stepsize= 1.000000
+dualbound = 2197151.579896, lowerbound=1122090.579896, norm of subgrad 1059.998858 dualbound = 2197151.579896, lowerbound=1122090.579896, norm of subgrad 41.577166 stepsize= 1.000000
+dualbound = 2197414.744066, lowerbound=1127478.744066, norm of subgrad 1062.569877 dualbound = 2197414.744066, lowerbound=1127478.744066, norm of subgrad 42.885477 stepsize= 1.000000
+dualbound = 2197630.246743, lowerbound=1122585.246743, norm of subgrad 1060.218018 dualbound = 2197630.246743, lowerbound=1122585.246743, norm of subgrad 41.140037 stepsize= 1.000000
+dualbound = 2197882.587094, lowerbound=1123274.587094, norm of subgrad 1060.548720 dualbound = 2197882.587094, lowerbound=1123274.587094, norm of subgrad 41.729370 stepsize= 1.000000
+dualbound = 2198132.099848, lowerbound=1124117.099848, norm of subgrad 1060.942081 dualbound = 2198132.099848, lowerbound=1124117.099848, norm of subgrad 41.599432 stepsize= 1.000000
+dualbound = 2198365.547614, lowerbound=1122023.547614, norm of subgrad 1059.958276 dualbound = 2198365.547614, lowerbound=1122023.547614, norm of subgrad 41.490333 stepsize= 1.000000
+dualbound = 2198597.150444, lowerbound=1121336.150444, norm of subgrad 1059.650013 dualbound = 2198597.150444, lowerbound=1121336.150444, norm of subgrad 41.876041 stepsize= 1.000000
+dualbound = 2198827.782655, lowerbound=1127346.782655, norm of subgrad 1062.471544 dualbound = 2198827.782655, lowerbound=1127346.782655, norm of subgrad 41.588847 stepsize= 1.000000
+dualbound = 2199066.536021, lowerbound=1121521.536021, norm of subgrad 1059.729464 dualbound = 2199066.536021, lowerbound=1121521.536021, norm of subgrad 41.758273 stepsize= 1.000000
+dualbound = 2199291.265076, lowerbound=1125701.265076, norm of subgrad 1061.720427 dualbound = 2199291.265076, lowerbound=1125701.265076, norm of subgrad 42.115663 stepsize= 1.000000
+dualbound = 2199538.796342, lowerbound=1121769.796342, norm of subgrad 1059.842345 dualbound = 2199538.796342, lowerbound=1121769.796342, norm of subgrad 41.755614 stepsize= 1.000000
+dualbound = 2199771.509256, lowerbound=1121818.509256, norm of subgrad 1059.880422 dualbound = 2199771.509256, lowerbound=1121818.509256, norm of subgrad 41.960850 stepsize= 1.000000
+dualbound = 2199996.431887, lowerbound=1123519.431887, norm of subgrad 1060.713643 dualbound = 2199996.431887, lowerbound=1123519.431887, norm of subgrad 42.648829 stepsize= 1.000000
+dualbound = 2200242.090301, lowerbound=1126138.090301, norm of subgrad 1061.891280 dualbound = 2200242.090301, lowerbound=1126138.090301, norm of subgrad 41.480820 stepsize= 1.000000
+dualbound = 2200489.645476, lowerbound=1123599.645476, norm of subgrad 1060.721285 dualbound = 2200489.645476, lowerbound=1123599.645476, norm of subgrad 42.161062 stepsize= 1.000000
+dualbound = 2200729.410890, lowerbound=1128002.410890, norm of subgrad 1062.791800 dualbound = 2200729.410890, lowerbound=1128002.410890, norm of subgrad 41.997207 stepsize= 1.000000
+dualbound = 2200955.381905, lowerbound=1120533.381905, norm of subgrad 1059.309389 dualbound = 2200955.381905, lowerbound=1120533.381905, norm of subgrad 42.766471 stepsize= 1.000000
+dualbound = 2201175.365915, lowerbound=1124167.365915, norm of subgrad 1060.986977 dualbound = 2201175.365915, lowerbound=1124167.365915, norm of subgrad 41.784973 stepsize= 1.000000
+dualbound = 2201453.522330, lowerbound=1121187.522330, norm of subgrad 1059.570442 dualbound = 2201453.522330, lowerbound=1121187.522330, norm of subgrad 42.191900 stepsize= 1.000000
+dualbound = 2201702.313904, lowerbound=1123194.313904, norm of subgrad 1060.513231 dualbound = 2201702.313904, lowerbound=1123194.313904, norm of subgrad 41.746755 stepsize= 1.000000
+dualbound = 2201932.465624, lowerbound=1124491.465624, norm of subgrad 1061.154779 dualbound = 2201932.465624, lowerbound=1124491.465624, norm of subgrad 42.286543 stepsize= 1.000000
+dualbound = 2202136.269088, lowerbound=1121854.269088, norm of subgrad 1059.927955 dualbound = 2202136.269088, lowerbound=1121854.269088, norm of subgrad 42.388719 stepsize= 1.000000
+dualbound = 2202388.542143, lowerbound=1124361.542143, norm of subgrad 1061.060574 dualbound = 2202388.542143, lowerbound=1124361.542143, norm of subgrad 41.716580 stepsize= 1.000000
+dualbound = 2202657.156001, lowerbound=1121508.156001, norm of subgrad 1059.742495 dualbound = 2202657.156001, lowerbound=1121508.156001, norm of subgrad 42.598285 stepsize= 1.000000
+dualbound = 2202860.577942, lowerbound=1128337.577941, norm of subgrad 1062.961231 dualbound = 2202860.577942, lowerbound=1128337.577941, norm of subgrad 41.861939 stepsize= 1.000000
+dualbound = 2203108.516735, lowerbound=1125029.516735, norm of subgrad 1061.416750 dualbound = 2203108.516735, lowerbound=1125029.516735, norm of subgrad 42.707596 stepsize= 1.000000
+dualbound = 2203338.801119, lowerbound=1124474.801119, norm of subgrad 1061.104048 dualbound = 2203338.801119, lowerbound=1124474.801119, norm of subgrad 41.198111 stepsize= 1.000000
+dualbound = 2203584.042536, lowerbound=1123084.042536, norm of subgrad 1060.452754 dualbound = 2203584.042536, lowerbound=1123084.042536, norm of subgrad 41.487847 stepsize= 1.000000
+dualbound = 2203824.964341, lowerbound=1123187.964341, norm of subgrad 1060.489021 dualbound = 2203824.964341, lowerbound=1123187.964341, norm of subgrad 41.108659 stepsize= 1.000000
+dualbound = 2204076.366927, lowerbound=1123737.366927, norm of subgrad 1060.779132 dualbound = 2204076.366927, lowerbound=1123737.366927, norm of subgrad 42.028592 stepsize= 1.000000
+dualbound = 2204263.617766, lowerbound=1122686.617766, norm of subgrad 1060.296476 dualbound = 2204263.617766, lowerbound=1122686.617766, norm of subgrad 41.584262 stepsize= 1.000000
+dualbound = 2204517.998215, lowerbound=1123485.998215, norm of subgrad 1060.644614 dualbound = 2204517.998215, lowerbound=1123485.998215, norm of subgrad 41.657898 stepsize= 1.000000
+dualbound = 2204751.148776, lowerbound=1125565.148776, norm of subgrad 1061.663859 dualbound = 2204751.148776, lowerbound=1125565.148776, norm of subgrad 42.404605 stepsize= 1.000000
+dualbound = 2204975.609582, lowerbound=1123113.609582, norm of subgrad 1060.492154 dualbound = 2204975.609582, lowerbound=1123113.609582, norm of subgrad 41.886284 stepsize= 1.000000
+dualbound = 2205229.836851, lowerbound=1126922.836851, norm of subgrad 1062.272487 dualbound = 2205229.836851, lowerbound=1126922.836851, norm of subgrad 41.883496 stepsize= 1.000000
+dualbound = 2205481.098114, lowerbound=1126332.098114, norm of subgrad 1062.018878 dualbound = 2205481.098114, lowerbound=1126332.098114, norm of subgrad 42.464824 stepsize= 1.000000
+dualbound = 2205695.044425, lowerbound=1121534.044425, norm of subgrad 1059.745273 dualbound = 2205695.044425, lowerbound=1121534.044425, norm of subgrad 41.712664 stepsize= 1.000000
+dualbound = 2205948.011375, lowerbound=1126711.011375, norm of subgrad 1062.167130 dualbound = 2205948.011375, lowerbound=1126711.011375, norm of subgrad 41.724896 stepsize= 1.000000
+dualbound = 2206173.211482, lowerbound=1124492.211482, norm of subgrad 1061.125446 dualbound = 2206173.211482, lowerbound=1124492.211482, norm of subgrad 41.475295 stepsize= 1.000000
+dualbound = 2206428.893064, lowerbound=1123974.893064, norm of subgrad 1060.875531 dualbound = 2206428.893064, lowerbound=1123974.893064, norm of subgrad 41.685508 stepsize= 1.000000
+dualbound = 2206658.383166, lowerbound=1124816.383166, norm of subgrad 1061.273472 dualbound = 2206658.383166, lowerbound=1124816.383166, norm of subgrad 41.406402 stepsize= 1.000000
+dualbound = 2206893.849985, lowerbound=1121519.849985, norm of subgrad 1059.733858 dualbound = 2206893.849985, lowerbound=1121519.849985, norm of subgrad 41.850529 stepsize= 1.000000
+dualbound = 2207100.191032, lowerbound=1128902.191032, norm of subgrad 1063.224901 dualbound = 2207100.191032, lowerbound=1128902.191032, norm of subgrad 41.849027 stepsize= 1.000000
+dualbound = 2207354.753329, lowerbound=1123624.753329, norm of subgrad 1060.742548 dualbound = 2207354.753329, lowerbound=1123624.753329, norm of subgrad 42.480140 stepsize= 1.000000
+dualbound = 2207562.856472, lowerbound=1124665.856472, norm of subgrad 1061.213389 dualbound = 2207562.856472, lowerbound=1124665.856472, norm of subgrad 41.425875 stepsize= 1.000000
+dualbound = 2207817.488128, lowerbound=1127360.488128, norm of subgrad 1062.489288 dualbound = 2207817.488128, lowerbound=1127360.488128, norm of subgrad 42.161969 stepsize= 1.000000
+dualbound = 2208052.998735, lowerbound=1123041.998735, norm of subgrad 1060.456976 dualbound = 2208052.998735, lowerbound=1123041.998735, norm of subgrad 41.982265 stepsize= 1.000000
+dualbound = 2208286.857198, lowerbound=1124497.857198, norm of subgrad 1061.131404 dualbound = 2208286.857198, lowerbound=1124497.857198, norm of subgrad 41.663635 stepsize= 1.000000
+dualbound = 2208543.901102, lowerbound=1123472.901102, norm of subgrad 1060.650226 dualbound = 2208543.901102, lowerbound=1123472.901102, norm of subgrad 41.988616 stepsize= 1.000000
+dualbound = 2208750.798423, lowerbound=1125045.798423, norm of subgrad 1061.389089 dualbound = 2208750.798423, lowerbound=1125045.798423, norm of subgrad 41.326714 stepsize= 1.000000
+dualbound = 2208992.942202, lowerbound=1125922.942202, norm of subgrad 1061.832351 dualbound = 2208992.942202, lowerbound=1125922.942202, norm of subgrad 42.510514 stepsize= 1.000000
+dualbound = 2209227.265887, lowerbound=1123513.265887, norm of subgrad 1060.673025 dualbound = 2209227.265887, lowerbound=1123513.265887, norm of subgrad 41.812961 stepsize= 1.000000
+dualbound = 2209472.942375, lowerbound=1126109.942375, norm of subgrad 1061.878968 dualbound = 2209472.942375, lowerbound=1126109.942375, norm of subgrad 41.505138 stepsize= 1.000000
+dualbound = 2209723.118045, lowerbound=1123195.118045, norm of subgrad 1060.514553 dualbound = 2209723.118045, lowerbound=1123195.118045, norm of subgrad 41.787267 stepsize= 1.000000
+dualbound = 2209917.038171, lowerbound=1125580.038171, norm of subgrad 1061.633665 dualbound = 2209917.038171, lowerbound=1125580.038171, norm of subgrad 40.986829 stepsize= 1.000000
+dualbound = 2210200.726830, lowerbound=1121442.726830, norm of subgrad 1059.707850 dualbound = 2210200.726830, lowerbound=1121442.726830, norm of subgrad 42.681245 stepsize= 1.000000
+dualbound = 2210403.004618, lowerbound=1129241.004618, norm of subgrad 1063.364474 dualbound = 2210403.004618, lowerbound=1129241.004618, norm of subgrad 41.295009 stepsize= 1.000000
+dualbound = 2210652.420950, lowerbound=1122777.420950, norm of subgrad 1060.323734 dualbound = 2210652.420950, lowerbound=1122777.420950, norm of subgrad 41.933475 stepsize= 1.000000
+dualbound = 2210886.376342, lowerbound=1122933.376342, norm of subgrad 1060.382184 dualbound = 2210886.376342, lowerbound=1122933.376342, norm of subgrad 41.363697 stepsize= 1.000000
+dualbound = 2211133.573192, lowerbound=1128486.573192, norm of subgrad 1062.995096 dualbound = 2211133.573192, lowerbound=1128486.573192, norm of subgrad 41.463199 stepsize= 1.000000
+dualbound = 2211359.013415, lowerbound=1122364.013415, norm of subgrad 1060.144336 dualbound = 2211359.013415, lowerbound=1122364.013415, norm of subgrad 42.040935 stepsize= 1.000000
+dualbound = 2211565.320973, lowerbound=1125905.320973, norm of subgrad 1061.816519 dualbound = 2211565.320973, lowerbound=1125905.320973, norm of subgrad 41.896391 stepsize= 1.000000
+dualbound = 2211802.208985, lowerbound=1125519.208985, norm of subgrad 1061.645048 dualbound = 2211802.208985, lowerbound=1125519.208985, norm of subgrad 42.519266 stepsize= 1.000000
+dualbound = 2212034.816829, lowerbound=1128429.816829, norm of subgrad 1063.023902 dualbound = 2212034.816829, lowerbound=1128429.816829, norm of subgrad 42.692011 stepsize= 1.000000
+dualbound = 2212262.077145, lowerbound=1122157.077145, norm of subgrad 1060.071732 dualbound = 2212262.077145, lowerbound=1122157.077145, norm of subgrad 42.687941 stepsize= 1.000000
+dualbound = 2212495.204906, lowerbound=1122448.204906, norm of subgrad 1060.182628 dualbound = 2212495.204906, lowerbound=1122448.204906, norm of subgrad 42.096648 stepsize= 1.000000
+dualbound = 2212734.949360, lowerbound=1128244.949359, norm of subgrad 1062.918600 dualbound = 2212734.949360, lowerbound=1128244.949359, norm of subgrad 42.317189 stepsize= 1.000000
+dualbound = 2212980.810245, lowerbound=1125140.810245, norm of subgrad 1061.440912 dualbound = 2212980.810245, lowerbound=1125140.810245, norm of subgrad 41.974527 stepsize= 1.000000
+dualbound = 2213224.209438, lowerbound=1127146.209438, norm of subgrad 1062.396917 dualbound = 2213224.209438, lowerbound=1127146.209438, norm of subgrad 42.242149 stepsize= 1.000000
+dualbound = 2213453.548237, lowerbound=1126387.548237, norm of subgrad 1062.054400 dualbound = 2213453.548237, lowerbound=1126387.548237, norm of subgrad 42.442182 stepsize= 1.000000
+dualbound = 2213675.092965, lowerbound=1125604.092965, norm of subgrad 1061.670897 dualbound = 2213675.092965, lowerbound=1125604.092965, norm of subgrad 41.982672 stepsize= 1.000000
+dualbound = 2213898.134627, lowerbound=1125976.134627, norm of subgrad 1061.845156 dualbound = 2213898.134627, lowerbound=1125976.134627, norm of subgrad 41.976680 stepsize= 1.000000
+dualbound = 2214148.442266, lowerbound=1120675.442266, norm of subgrad 1059.330658 dualbound = 2214148.442266, lowerbound=1120675.442266, norm of subgrad 41.908324 stepsize= 1.000000
+dualbound = 2214394.633433, lowerbound=1127006.633433, norm of subgrad 1062.341110 dualbound = 2214394.633433, lowerbound=1127006.633433, norm of subgrad 42.522831 stepsize= 1.000000
+dualbound = 2214603.635315, lowerbound=1125752.635315, norm of subgrad 1061.721543 dualbound = 2214603.635315, lowerbound=1125752.635315, norm of subgrad 41.340076 stepsize= 1.000000
+dualbound = 2214877.829416, lowerbound=1129227.829416, norm of subgrad 1063.369094 dualbound = 2214877.829416, lowerbound=1129227.829416, norm of subgrad 42.428694 stepsize= 1.000000
+dualbound = 2215072.685319, lowerbound=1127757.685319, norm of subgrad 1062.687012 dualbound = 2215072.685319, lowerbound=1127757.685319, norm of subgrad 41.723565 stepsize= 1.000000
+dualbound = 2215314.856457, lowerbound=1124801.856457, norm of subgrad 1061.299607 dualbound = 2215314.856457, lowerbound=1124801.856457, norm of subgrad 42.393055 stepsize= 1.000000
+dualbound = 2215551.941702, lowerbound=1125964.941702, norm of subgrad 1061.816341 dualbound = 2215551.941702, lowerbound=1125964.941702, norm of subgrad 41.546182 stepsize= 1.000000
+dualbound = 2215793.352150, lowerbound=1122143.352150, norm of subgrad 1060.018562 dualbound = 2215793.352150, lowerbound=1122143.352150, norm of subgrad 41.682256 stepsize= 1.000000
+dualbound = 2216021.047517, lowerbound=1126066.047517, norm of subgrad 1061.881372 dualbound = 2216021.047517, lowerbound=1126066.047517, norm of subgrad 41.877146 stepsize= 1.000000
+dualbound = 2216251.248753, lowerbound=1126458.248753, norm of subgrad 1062.087213 dualbound = 2216251.248753, lowerbound=1126458.248753, norm of subgrad 42.440561 stepsize= 1.000000
+dualbound = 2216450.737925, lowerbound=1127310.737925, norm of subgrad 1062.502583 dualbound = 2216450.737925, lowerbound=1127310.737925, norm of subgrad 42.432171 stepsize= 1.000000
+dualbound = 2216688.884849, lowerbound=1126146.884849, norm of subgrad 1061.947685 dualbound = 2216688.884849, lowerbound=1126146.884849, norm of subgrad 42.710033 stepsize= 1.000000
+dualbound = 2216955.113375, lowerbound=1122236.113375, norm of subgrad 1060.096276 dualbound = 2216955.113375, lowerbound=1122236.113375, norm of subgrad 42.827894 stepsize= 1.000000
+dualbound = 2217172.681286, lowerbound=1131689.681286, norm of subgrad 1064.535899 dualbound = 2217172.681286, lowerbound=1131689.681286, norm of subgrad 42.006760 stepsize= 1.000000
+dualbound = 2217410.518300, lowerbound=1123393.518300, norm of subgrad 1060.667016 dualbound = 2217410.518300, lowerbound=1123393.518300, norm of subgrad 43.114232 stepsize= 1.000000
+dualbound = 2217647.002163, lowerbound=1125198.002163, norm of subgrad 1061.481042 dualbound = 2217647.002163, lowerbound=1125198.002163, norm of subgrad 42.195780 stepsize= 1.000000
+dualbound = 2217910.018403, lowerbound=1125805.018403, norm of subgrad 1061.710892 dualbound = 2217910.018403, lowerbound=1125805.018403, norm of subgrad 41.085475 stepsize= 1.000000
+dualbound = 2218149.127508, lowerbound=1124802.127508, norm of subgrad 1061.243670 dualbound = 2218149.127508, lowerbound=1124802.127508, norm of subgrad 40.928097 stepsize= 1.000000
+dualbound = 2218388.784782, lowerbound=1128352.784782, norm of subgrad 1062.955683 dualbound = 2218388.784782, lowerbound=1128352.784782, norm of subgrad 41.972101 stepsize= 1.000000
+dualbound = 2218562.024083, lowerbound=1126529.024083, norm of subgrad 1062.134184 dualbound = 2218562.024083, lowerbound=1126529.024083, norm of subgrad 42.109848 stepsize= 1.000000
+dualbound = 2218813.133693, lowerbound=1126667.133693, norm of subgrad 1062.196372 dualbound = 2218813.133693, lowerbound=1126667.133693, norm of subgrad 42.954739 stepsize= 1.000000
+dualbound = 2219027.805295, lowerbound=1127229.805295, norm of subgrad 1062.466378 dualbound = 2219027.805295, lowerbound=1127229.805295, norm of subgrad 42.657609 stepsize= 1.000000
+dualbound = 2219256.953585, lowerbound=1124299.953585, norm of subgrad 1061.017414 dualbound = 2219256.953585, lowerbound=1124299.953585, norm of subgrad 41.074911 stepsize= 1.000000
+dualbound = 2219552.355960, lowerbound=1125334.355960, norm of subgrad 1061.526898 dualbound = 2219552.355960, lowerbound=1125334.355960, norm of subgrad 42.431149 stepsize= 1.000000
+dualbound = 2219752.794472, lowerbound=1124271.794472, norm of subgrad 1061.014512 dualbound = 2219752.794472, lowerbound=1124271.794472, norm of subgrad 40.993152 stepsize= 1.000000
+dualbound = 2220004.562466, lowerbound=1125478.562466, norm of subgrad 1061.603298 dualbound = 2220004.562466, lowerbound=1125478.562466, norm of subgrad 42.127995 stepsize= 1.000000
+dualbound = 2220232.128716, lowerbound=1130890.128716, norm of subgrad 1064.163582 dualbound = 2220232.128716, lowerbound=1130890.128716, norm of subgrad 42.208604 stepsize= 1.000000
+dualbound = 2220472.018910, lowerbound=1121662.018910, norm of subgrad 1059.776400 dualbound = 2220472.018910, lowerbound=1121662.018910, norm of subgrad 41.278205 stepsize= 1.000000
+dualbound = 2220686.920543, lowerbound=1125934.920543, norm of subgrad 1061.817273 dualbound = 2220686.920543, lowerbound=1125934.920543, norm of subgrad 41.664153 stepsize= 1.000000
+dualbound = 2220909.275843, lowerbound=1126494.275843, norm of subgrad 1062.052859 dualbound = 2220909.275843, lowerbound=1126494.275843, norm of subgrad 41.040898 stepsize= 1.000000
+dualbound = 2221156.734264, lowerbound=1128218.734264, norm of subgrad 1062.913324 dualbound = 2221156.734264, lowerbound=1128218.734264, norm of subgrad 42.584721 stepsize= 1.000000
+dualbound = 2221370.513875, lowerbound=1127419.513875, norm of subgrad 1062.521771 dualbound = 2221370.513875, lowerbound=1127419.513875, norm of subgrad 41.794493 stepsize= 1.000000
+dualbound = 2221617.182942, lowerbound=1130024.182942, norm of subgrad 1063.741126 dualbound = 2221617.182942, lowerbound=1130024.182942, norm of subgrad 42.043657 stepsize= 1.000000
+dualbound = 2221831.505768, lowerbound=1125188.505768, norm of subgrad 1061.476098 dualbound = 2221831.505768, lowerbound=1125188.505768, norm of subgrad 41.920434 stepsize= 1.000000
+dualbound = 2222062.298170, lowerbound=1126787.298170, norm of subgrad 1062.235048 dualbound = 2222062.298170, lowerbound=1126787.298170, norm of subgrad 42.270467 stepsize= 1.000000
+dualbound = 2222303.919700, lowerbound=1122847.919700, norm of subgrad 1060.367823 dualbound = 2222303.919700, lowerbound=1122847.919700, norm of subgrad 42.114386 stepsize= 1.000000
+dualbound = 2222532.276588, lowerbound=1134233.276588, norm of subgrad 1065.713975 dualbound = 2222532.276588, lowerbound=1134233.276588, norm of subgrad 41.729569 stepsize= 1.000000
+dualbound = 2222760.199645, lowerbound=1122382.199645, norm of subgrad 1060.146782 dualbound = 2222760.199645, lowerbound=1122382.199645, norm of subgrad 41.915666 stepsize= 1.000000
+dualbound = 2222991.624783, lowerbound=1129269.624783, norm of subgrad 1063.382163 dualbound = 2222991.624783, lowerbound=1129269.624783, norm of subgrad 41.754343 stepsize= 1.000000
+dualbound = 2223228.820963, lowerbound=1126758.820963, norm of subgrad 1062.202815 dualbound = 2223228.820963, lowerbound=1126758.820963, norm of subgrad 41.871186 stepsize= 1.000000
+dualbound = 2223462.463201, lowerbound=1129525.463201, norm of subgrad 1063.518906 dualbound = 2223462.463201, lowerbound=1129525.463201, norm of subgrad 42.197657 stepsize= 1.000000
+dualbound = 2223685.376002, lowerbound=1121547.376002, norm of subgrad 1059.745430 dualbound = 2223685.376002, lowerbound=1121547.376002, norm of subgrad 41.664287 stepsize= 1.000000
+dualbound = 2223927.736335, lowerbound=1127672.736335, norm of subgrad 1062.615517 dualbound = 2223927.736335, lowerbound=1127672.736335, norm of subgrad 41.489280 stepsize= 1.000000
+dualbound = 2224175.449965, lowerbound=1127109.449965, norm of subgrad 1062.365497 dualbound = 2224175.449965, lowerbound=1127109.449965, norm of subgrad 41.937020 stepsize= 1.000000
+dualbound = 2224384.698694, lowerbound=1126103.698694, norm of subgrad 1061.937239 dualbound = 2224384.698694, lowerbound=1126103.698694, norm of subgrad 42.617470 stepsize= 1.000000
+dualbound = 2224606.498086, lowerbound=1129754.498086, norm of subgrad 1063.619527 dualbound = 2224606.498086, lowerbound=1129754.498086, norm of subgrad 41.878388 stepsize= 1.000000
+dualbound = 2224851.095737, lowerbound=1129319.095737, norm of subgrad 1063.411536 dualbound = 2224851.095737, lowerbound=1129319.095737, norm of subgrad 42.066586 stepsize= 1.000000
+dualbound = 2225075.137717, lowerbound=1124913.137717, norm of subgrad 1061.339784 dualbound = 2225075.137717, lowerbound=1124913.137717, norm of subgrad 41.869344 stepsize= 1.000000
+dualbound = 2225299.039193, lowerbound=1131838.039193, norm of subgrad 1064.601352 dualbound = 2225299.039193, lowerbound=1131838.039193, norm of subgrad 41.975010 stepsize= 1.000000
+dualbound = 2225544.940132, lowerbound=1121312.940132, norm of subgrad 1059.648970 dualbound = 2225544.940132, lowerbound=1121312.940132, norm of subgrad 42.295401 stepsize= 1.000000
+dualbound = 2225768.879898, lowerbound=1126159.879898, norm of subgrad 1061.943445 dualbound = 2225768.879898, lowerbound=1126159.879898, norm of subgrad 42.284037 stepsize= 1.000000
+dualbound = 2225998.111887, lowerbound=1129559.111887, norm of subgrad 1063.504166 dualbound = 2225998.111887, lowerbound=1129559.111887, norm of subgrad 41.367040 stepsize= 1.000000
+dualbound = 2226249.140443, lowerbound=1130002.140443, norm of subgrad 1063.728415 dualbound = 2226249.140443, lowerbound=1130002.140443, norm of subgrad 42.036039 stepsize= 1.000000
+dualbound = 2226437.821680, lowerbound=1126606.821680, norm of subgrad 1062.160921 dualbound = 2226437.821680, lowerbound=1126606.821680, norm of subgrad 42.043801 stepsize= 1.000000
+dualbound = 2226684.693148, lowerbound=1128547.693148, norm of subgrad 1063.049243 dualbound = 2226684.693148, lowerbound=1128547.693148, norm of subgrad 42.105480 stepsize= 1.000000
+dualbound = 2226919.609671, lowerbound=1124275.609671, norm of subgrad 1061.029505 dualbound = 2226919.609671, lowerbound=1124275.609671, norm of subgrad 41.748252 stepsize= 1.000000
+dualbound = 2227149.950525, lowerbound=1129694.950525, norm of subgrad 1063.630552 dualbound = 2227149.950525, lowerbound=1129694.950525, norm of subgrad 42.957431 stepsize= 1.000000
+dualbound = 2227340.207117, lowerbound=1126705.207117, norm of subgrad 1062.217119 dualbound = 2227340.207117, lowerbound=1126705.207117, norm of subgrad 42.311424 stepsize= 1.000000
+dualbound = 2227621.427583, lowerbound=1128387.427583, norm of subgrad 1062.938581 dualbound = 2227621.427583, lowerbound=1128387.427583, norm of subgrad 41.619953 stepsize= 1.000000
+dualbound = 2227887.092687, lowerbound=1120803.092687, norm of subgrad 1059.350316 dualbound = 2227887.092687, lowerbound=1120803.092687, norm of subgrad 41.056852 stepsize= 1.000000
+dualbound = 2228100.485853, lowerbound=1131751.485853, norm of subgrad 1064.522656 dualbound = 2228100.485853, lowerbound=1131751.485853, norm of subgrad 40.870444 stepsize= 1.000000
+dualbound = 2228322.590983, lowerbound=1123612.590983, norm of subgrad 1060.711832 dualbound = 2228322.590983, lowerbound=1123612.590983, norm of subgrad 41.462093 stepsize= 1.000000
+dualbound = 2228549.609083, lowerbound=1130830.609083, norm of subgrad 1064.109773 dualbound = 2228549.609083, lowerbound=1130830.609083, norm of subgrad 41.545374 stepsize= 1.000000
+dualbound = 2228768.229038, lowerbound=1128480.229038, norm of subgrad 1063.032092 dualbound = 2228768.229038, lowerbound=1128480.229038, norm of subgrad 42.138106 stepsize= 1.000000
+dualbound = 2228994.104558, lowerbound=1128884.104558, norm of subgrad 1063.216396 dualbound = 2228994.104558, lowerbound=1128884.104558, norm of subgrad 42.081772 stepsize= 1.000000
+dualbound = 2229219.562926, lowerbound=1127931.562926, norm of subgrad 1062.762703 dualbound = 2229219.562926, lowerbound=1127931.562926, norm of subgrad 41.933976 stepsize= 1.000000
+dualbound = 2229447.289447, lowerbound=1127282.289447, norm of subgrad 1062.482607 dualbound = 2229447.289447, lowerbound=1127282.289447, norm of subgrad 42.599607 stepsize= 1.000000
+dualbound = 2229683.279101, lowerbound=1128385.279101, norm of subgrad 1062.999191 dualbound = 2229683.279101, lowerbound=1128385.279101, norm of subgrad 42.637890 stepsize= 1.000000
+dualbound = 2229914.547477, lowerbound=1125351.547477, norm of subgrad 1061.575973 dualbound = 2229914.547477, lowerbound=1125351.547477, norm of subgrad 42.699747 stepsize= 1.000000
+dualbound = 2230138.511835, lowerbound=1124183.511835, norm of subgrad 1060.996471 dualbound = 2230138.511835, lowerbound=1124183.511835, norm of subgrad 41.880358 stepsize= 1.000000
+dualbound = 2230370.628141, lowerbound=1129732.628141, norm of subgrad 1063.592322 dualbound = 2230370.628141, lowerbound=1129732.628141, norm of subgrad 41.570618 stepsize= 1.000000
+dualbound = 2230621.444619, lowerbound=1122810.444619, norm of subgrad 1060.342136 dualbound = 2230621.444619, lowerbound=1122810.444619, norm of subgrad 42.021619 stepsize= 1.000000
+dualbound = 2230854.509435, lowerbound=1128888.509435, norm of subgrad 1063.222230 dualbound = 2230854.509435, lowerbound=1128888.509435, norm of subgrad 42.261860 stepsize= 1.000000
+dualbound = 2231073.636751, lowerbound=1129042.636751, norm of subgrad 1063.275899 dualbound = 2231073.636751, lowerbound=1129042.636751, norm of subgrad 41.618834 stepsize= 1.000000
+dualbound = 2231311.067441, lowerbound=1127470.067441, norm of subgrad 1062.546501 dualbound = 2231311.067441, lowerbound=1127470.067441, norm of subgrad 42.100246 stepsize= 1.000000
+dualbound = 2231542.621954, lowerbound=1128960.621954, norm of subgrad 1063.278243 dualbound = 2231542.621954, lowerbound=1128960.621954, norm of subgrad 42.796665 stepsize= 1.000000
+dualbound = 2231756.226063, lowerbound=1126982.226063, norm of subgrad 1062.327739 dualbound = 2231756.226063, lowerbound=1126982.226063, norm of subgrad 42.090428 stepsize= 1.000000
+dualbound = 2231991.759896, lowerbound=1131262.759896, norm of subgrad 1064.338649 dualbound = 2231991.759896, lowerbound=1131262.759896, norm of subgrad 42.302882 stepsize= 1.000000
+dualbound = 2232229.654288, lowerbound=1132293.654288, norm of subgrad 1064.806393 dualbound = 2232229.654288, lowerbound=1132293.654288, norm of subgrad 41.915324 stepsize= 1.000000
+dualbound = 2232458.599590, lowerbound=1121605.599590, norm of subgrad 1059.769597 dualbound = 2232458.599590, lowerbound=1121605.599590, norm of subgrad 41.652675 stepsize= 1.000000
+dualbound = 2232685.765599, lowerbound=1129713.765599, norm of subgrad 1063.609311 dualbound = 2232685.765599, lowerbound=1129713.765599, norm of subgrad 42.168306 stepsize= 1.000000
+dualbound = 2232900.844518, lowerbound=1123627.844518, norm of subgrad 1060.742120 dualbound = 2232900.844518, lowerbound=1123627.844518, norm of subgrad 41.965211 stepsize= 1.000000
+dualbound = 2233155.841424, lowerbound=1128513.841424, norm of subgrad 1063.007922 dualbound = 2233155.841424, lowerbound=1128513.841424, norm of subgrad 41.557152 stepsize= 1.000000
+dualbound = 2233355.199810, lowerbound=1130349.199810, norm of subgrad 1063.887776 dualbound = 2233355.199810, lowerbound=1130349.199810, norm of subgrad 41.320193 stepsize= 1.000000
+dualbound = 2233611.034549, lowerbound=1128306.034549, norm of subgrad 1062.904527 dualbound = 2233611.034549, lowerbound=1128306.034549, norm of subgrad 41.422636 stepsize= 1.000000
+dualbound = 2233844.769296, lowerbound=1125278.769296, norm of subgrad 1061.498832 dualbound = 2233844.769296, lowerbound=1125278.769296, norm of subgrad 41.650147 stepsize= 1.000000
+dualbound = 2234046.609216, lowerbound=1131591.609216, norm of subgrad 1064.518957 dualbound = 2234046.609216, lowerbound=1131591.609216, norm of subgrad 42.553965 stepsize= 1.000000
+dualbound = 2234290.927060, lowerbound=1128365.927060, norm of subgrad 1062.956221 dualbound = 2234290.927060, lowerbound=1128365.927060, norm of subgrad 41.884578 stepsize= 1.000000
+dualbound = 2234525.938699, lowerbound=1125863.938699, norm of subgrad 1061.786202 dualbound = 2234525.938699, lowerbound=1125863.938699, norm of subgrad 41.964409 stepsize= 1.000000
+dualbound = 2234758.171891, lowerbound=1129262.171891, norm of subgrad 1063.394645 dualbound = 2234758.171891, lowerbound=1129262.171891, norm of subgrad 42.169102 stepsize= 1.000000
+dualbound = 2234974.674478, lowerbound=1129758.674478, norm of subgrad 1063.594695 dualbound = 2234974.674478, lowerbound=1129758.674478, norm of subgrad 41.127881 stepsize= 1.000000
+dualbound = 2235231.021434, lowerbound=1128656.021434, norm of subgrad 1063.076207 dualbound = 2235231.021434, lowerbound=1128656.021434, norm of subgrad 41.609458 stepsize= 1.000000
+dualbound = 2235464.639254, lowerbound=1129325.639254, norm of subgrad 1063.375587 dualbound = 2235464.639254, lowerbound=1129325.639254, norm of subgrad 40.934311 stepsize= 1.000000
+dualbound = 2235673.196520, lowerbound=1124111.196520, norm of subgrad 1060.960035 dualbound = 2235673.196520, lowerbound=1124111.196520, norm of subgrad 41.636009 stepsize= 1.000000
+dualbound = 2235897.985468, lowerbound=1131126.985468, norm of subgrad 1064.243856 dualbound = 2235897.985468, lowerbound=1131126.985468, norm of subgrad 41.385854 stepsize= 1.000000
+dualbound = 2236133.166424, lowerbound=1127510.166424, norm of subgrad 1062.562077 dualbound = 2236133.166424, lowerbound=1127510.166424, norm of subgrad 41.990248 stepsize= 1.000000
+dualbound = 2236363.411583, lowerbound=1129020.411583, norm of subgrad 1063.264977 dualbound = 2236363.411583, lowerbound=1129020.411583, norm of subgrad 41.740210 stepsize= 1.000000
+dualbound = 2236594.604443, lowerbound=1130427.604443, norm of subgrad 1063.930263 dualbound = 2236594.604443, lowerbound=1130427.604443, norm of subgrad 41.847256 stepsize= 1.000000
+dualbound = 2236808.508209, lowerbound=1128304.508209, norm of subgrad 1062.926389 dualbound = 2236808.508209, lowerbound=1128304.508209, norm of subgrad 41.495828 stepsize= 1.000000
+dualbound = 2237075.557808, lowerbound=1129706.557808, norm of subgrad 1063.586648 dualbound = 2237075.557808, lowerbound=1129706.557808, norm of subgrad 42.155066 stepsize= 1.000000
+dualbound = 2237256.448972, lowerbound=1125581.448972, norm of subgrad 1061.661645 dualbound = 2237256.448972, lowerbound=1125581.448972, norm of subgrad 41.531809 stepsize= 1.000000
+dualbound = 2237502.178195, lowerbound=1130715.178195, norm of subgrad 1064.033448 dualbound = 2237502.178195, lowerbound=1130715.178195, norm of subgrad 41.203510 stepsize= 1.000000
+dualbound = 2237749.289896, lowerbound=1130770.289896, norm of subgrad 1064.076261 dualbound = 2237749.289896, lowerbound=1130770.289896, norm of subgrad 41.654672 stepsize= 1.000000
+dualbound = 2237956.827768, lowerbound=1126071.827768, norm of subgrad 1061.898690 dualbound = 2237956.827768, lowerbound=1126071.827768, norm of subgrad 42.006403 stepsize= 1.000000
+dualbound = 2238161.175088, lowerbound=1129724.175088, norm of subgrad 1063.620785 dualbound = 2238161.175088, lowerbound=1129724.175088, norm of subgrad 42.063610 stepsize= 1.000000
+dualbound = 2238413.117562, lowerbound=1129502.117562, norm of subgrad 1063.483012 dualbound = 2238413.117562, lowerbound=1129502.117562, norm of subgrad 41.784476 stepsize= 1.000000
+dualbound = 2238653.133562, lowerbound=1132727.133562, norm of subgrad 1064.974710 dualbound = 2238653.133562, lowerbound=1132727.133562, norm of subgrad 41.036764 stepsize= 1.000000
+dualbound = 2238887.377876, lowerbound=1124180.377876, norm of subgrad 1061.012902 dualbound = 2238887.377876, lowerbound=1124180.377876, norm of subgrad 42.452848 stepsize= 1.000000
+dualbound = 2239083.131963, lowerbound=1129608.131963, norm of subgrad 1063.539906 dualbound = 2239083.131963, lowerbound=1129608.131963, norm of subgrad 41.288668 stepsize= 1.000000
+dualbound = 2239338.608376, lowerbound=1126125.608376, norm of subgrad 1061.913183 dualbound = 2239338.608376, lowerbound=1126125.608376, norm of subgrad 42.302203 stepsize= 1.000000
+dualbound = 2239556.302877, lowerbound=1134460.302877, norm of subgrad 1065.792336 dualbound = 2239556.302877, lowerbound=1134460.302877, norm of subgrad 40.874130 stepsize= 1.000000
+dualbound = 2239809.023182, lowerbound=1127486.023182, norm of subgrad 1062.540834 dualbound = 2239809.023182, lowerbound=1127486.023182, norm of subgrad 41.949020 stepsize= 1.000000
+dualbound = 2240005.302369, lowerbound=1133513.302369, norm of subgrad 1065.367215 dualbound = 2240005.302369, lowerbound=1133513.302369, norm of subgrad 41.113005 stepsize= 1.000000
+dualbound = 2240259.353200, lowerbound=1123455.353200, norm of subgrad 1060.618854 dualbound = 2240259.353200, lowerbound=1123455.353200, norm of subgrad 41.364850 stepsize= 1.000000
+dualbound = 2240470.658100, lowerbound=1128982.658100, norm of subgrad 1063.242521 dualbound = 2240470.658100, lowerbound=1128982.658100, norm of subgrad 41.392087 stepsize= 1.000000
+dualbound = 2240693.710422, lowerbound=1125409.710422, norm of subgrad 1061.539783 dualbound = 2240693.710422, lowerbound=1125409.710422, norm of subgrad 40.988441 stepsize= 1.000000
+dualbound = 2240932.181826, lowerbound=1131711.181826, norm of subgrad 1064.542710 dualbound = 2240932.181826, lowerbound=1131711.181826, norm of subgrad 42.171927 stepsize= 1.000000
+dualbound = 2241138.999145, lowerbound=1130058.999145, norm of subgrad 1063.756081 dualbound = 2241138.999145, lowerbound=1130058.999145, norm of subgrad 41.530920 stepsize= 1.000000
+dualbound = 2241377.862222, lowerbound=1128447.862222, norm of subgrad 1062.986765 dualbound = 2241377.862222, lowerbound=1128447.862222, norm of subgrad 41.615659 stepsize= 1.000000
+dualbound = 2241613.588746, lowerbound=1127852.588746, norm of subgrad 1062.714726 dualbound = 2241613.588746, lowerbound=1127852.588746, norm of subgrad 41.781892 stepsize= 1.000000
+dualbound = 2241859.379053, lowerbound=1130953.379053, norm of subgrad 1064.125641 dualbound = 2241859.379053, lowerbound=1130953.379053, norm of subgrad 40.691403 stepsize= 1.000000
+dualbound = 2242075.395434, lowerbound=1126290.395434, norm of subgrad 1061.966758 dualbound = 2242075.395434, lowerbound=1126290.395434, norm of subgrad 41.219126 stepsize= 1.000000
+dualbound = 2242303.497214, lowerbound=1130785.497214, norm of subgrad 1064.096094 dualbound = 2242303.497214, lowerbound=1130785.497214, norm of subgrad 41.750470 stepsize= 1.000000
+dualbound = 2242518.134557, lowerbound=1135003.134557, norm of subgrad 1066.072762 dualbound = 2242518.134557, lowerbound=1135003.134557, norm of subgrad 41.504667 stepsize= 1.000000
+dualbound = 2242752.783970, lowerbound=1125430.783970, norm of subgrad 1061.582208 dualbound = 2242752.783970, lowerbound=1125430.783970, norm of subgrad 41.960093 stepsize= 1.000000
+dualbound = 2242970.874031, lowerbound=1126460.874031, norm of subgrad 1062.061144 dualbound = 2242970.874031, lowerbound=1126460.874031, norm of subgrad 41.606370 stepsize= 1.000000
+dualbound = 2243233.142861, lowerbound=1127966.142861, norm of subgrad 1062.730983 dualbound = 2243233.142861, lowerbound=1127966.142861, norm of subgrad 41.149348 stepsize= 1.000000
+dualbound = 2243448.301782, lowerbound=1127065.301782, norm of subgrad 1062.339542 dualbound = 2243448.301782, lowerbound=1127065.301782, norm of subgrad 41.414477 stepsize= 1.000000
+dualbound = 2243646.033522, lowerbound=1131142.033522, norm of subgrad 1064.250926 dualbound = 2243646.033522, lowerbound=1131142.033522, norm of subgrad 41.057664 stepsize= 1.000000
+dualbound = 2243900.944507, lowerbound=1127774.944507, norm of subgrad 1062.676783 dualbound = 2243900.944507, lowerbound=1127774.944507, norm of subgrad 41.975123 stepsize= 1.000000
+dualbound = 2244111.402098, lowerbound=1131383.402098, norm of subgrad 1064.379351 dualbound = 2244111.402098, lowerbound=1131383.402098, norm of subgrad 41.598769 stepsize= 1.000000
+dualbound = 2244333.672241, lowerbound=1127688.672241, norm of subgrad 1062.620192 dualbound = 2244333.672241, lowerbound=1127688.672241, norm of subgrad 41.173658 stepsize= 1.000000
+dualbound = 2244556.138558, lowerbound=1130457.138558, norm of subgrad 1063.930984 dualbound = 2244556.138558, lowerbound=1130457.138558, norm of subgrad 41.406114 stepsize= 1.000000
+dualbound = 2244796.123193, lowerbound=1130337.123193, norm of subgrad 1063.888210 dualbound = 2244796.123193, lowerbound=1130337.123193, norm of subgrad 41.964087 stepsize= 1.000000
+dualbound = 2244995.392059, lowerbound=1125328.392059, norm of subgrad 1061.556589 dualbound = 2244995.392059, lowerbound=1125328.392059, norm of subgrad 42.110199 stepsize= 1.000000
+dualbound = 2245235.116803, lowerbound=1132457.116803, norm of subgrad 1064.891599 dualbound = 2245235.116803, lowerbound=1132457.116803, norm of subgrad 42.151213 stepsize= 1.000000
+dualbound = 2245472.557784, lowerbound=1128315.557784, norm of subgrad 1062.919827 dualbound = 2245472.557784, lowerbound=1128315.557784, norm of subgrad 41.478199 stepsize= 1.000000
+dualbound = 2245705.373539, lowerbound=1130001.373539, norm of subgrad 1063.720064 dualbound = 2245705.373539, lowerbound=1130001.373539, norm of subgrad 41.615090 stepsize= 1.000000
+dualbound = 2245924.785239, lowerbound=1128010.785239, norm of subgrad 1062.776922 dualbound = 2245924.785239, lowerbound=1128010.785239, norm of subgrad 41.272408 stepsize= 1.000000
+dualbound = 2246134.903811, lowerbound=1131819.903811, norm of subgrad 1064.569351 dualbound = 2246134.903811, lowerbound=1131819.903811, norm of subgrad 41.208234 stepsize= 1.000000
+dualbound = 2246415.656045, lowerbound=1132651.656045, norm of subgrad 1064.940212 dualbound = 2246415.656045, lowerbound=1132651.656045, norm of subgrad 41.554208 stepsize= 1.000000
+dualbound = 2246610.724877, lowerbound=1126018.724877, norm of subgrad 1061.846846 dualbound = 2246610.724877, lowerbound=1126018.724877, norm of subgrad 41.171214 stepsize= 1.000000
+dualbound = 2246832.156481, lowerbound=1129926.156481, norm of subgrad 1063.704920 dualbound = 2246832.156481, lowerbound=1129926.156481, norm of subgrad 41.993233 stepsize= 1.000000
+dualbound = 2247043.903497, lowerbound=1129577.903497, norm of subgrad 1063.561895 dualbound = 2247043.903497, lowerbound=1129577.903497, norm of subgrad 42.399847 stepsize= 1.000000
+dualbound = 2247283.378049, lowerbound=1129860.378049, norm of subgrad 1063.655197 dualbound = 2247283.378049, lowerbound=1129860.378049, norm of subgrad 41.730978 stepsize= 1.000000
+dualbound = 2247527.725897, lowerbound=1129272.725897, norm of subgrad 1063.386913 dualbound = 2247527.725897, lowerbound=1129272.725897, norm of subgrad 41.992236 stepsize= 1.000000
+dualbound = 2247736.395087, lowerbound=1129732.395087, norm of subgrad 1063.625120 dualbound = 2247736.395087, lowerbound=1129732.395087, norm of subgrad 42.126823 stepsize= 1.000000
+dualbound = 2247964.686344, lowerbound=1130028.686344, norm of subgrad 1063.723031 dualbound = 2247964.686344, lowerbound=1130028.686344, norm of subgrad 41.307278 stepsize= 1.000000
+dualbound = 2248205.677620, lowerbound=1129261.677620, norm of subgrad 1063.363850 dualbound = 2248205.677620, lowerbound=1129261.677620, norm of subgrad 41.496883 stepsize= 1.000000
+dualbound = 2248425.071308, lowerbound=1128186.071308, norm of subgrad 1062.854210 dualbound = 2248425.071308, lowerbound=1128186.071308, norm of subgrad 41.138713 stepsize= 1.000000
+dualbound = 2248662.912793, lowerbound=1128671.912793, norm of subgrad 1063.071923 dualbound = 2248662.912793, lowerbound=1128671.912793, norm of subgrad 41.083348 stepsize= 1.000000
+dualbound = 2248879.328075, lowerbound=1131401.328075, norm of subgrad 1064.390120 dualbound = 2248879.328075, lowerbound=1131401.328075, norm of subgrad 41.730268 stepsize= 1.000000
+dualbound = 2249096.013653, lowerbound=1130334.013653, norm of subgrad 1063.891918 dualbound = 2249096.013653, lowerbound=1130334.013653, norm of subgrad 41.817288 stepsize= 1.000000
+dualbound = 2249336.405233, lowerbound=1128665.405233, norm of subgrad 1063.097082 dualbound = 2249336.405233, lowerbound=1128665.405233, norm of subgrad 41.837681 stepsize= 1.000000
+dualbound = 2249531.646459, lowerbound=1128722.646459, norm of subgrad 1063.147519 dualbound = 2249531.646459, lowerbound=1128722.646459, norm of subgrad 41.895599 stepsize= 1.000000
+dualbound = 2249792.346825, lowerbound=1133007.346825, norm of subgrad 1065.128794 dualbound = 2249792.346825, lowerbound=1133007.346825, norm of subgrad 41.865264 stepsize= 1.000000
+dualbound = 2250015.482957, lowerbound=1130496.482957, norm of subgrad 1063.952294 dualbound = 2250015.482957, lowerbound=1130496.482957, norm of subgrad 41.486578 stepsize= 1.000000
+dualbound = 2250219.912855, lowerbound=1130063.912855, norm of subgrad 1063.784242 dualbound = 2250219.912855, lowerbound=1130063.912855, norm of subgrad 42.159577 stepsize= 1.000000
+dualbound = 2250452.740547, lowerbound=1130418.740547, norm of subgrad 1063.925627 dualbound = 2250452.740547, lowerbound=1130418.740547, norm of subgrad 41.854841 stepsize= 1.000000
+dualbound = 2250662.157393, lowerbound=1129666.157393, norm of subgrad 1063.566245 dualbound = 2250662.157393, lowerbound=1129666.157393, norm of subgrad 41.429661 stepsize= 1.000000
+dualbound = 2250911.046376, lowerbound=1127371.046376, norm of subgrad 1062.493787 dualbound = 2250911.046376, lowerbound=1127371.046376, norm of subgrad 42.081932 stepsize= 1.000000
+dualbound = 2251144.662975, lowerbound=1131238.662975, norm of subgrad 1064.287397 dualbound = 2251144.662975, lowerbound=1131238.662975, norm of subgrad 41.262775 stepsize= 1.000000
+dualbound = 2251385.774599, lowerbound=1127188.774599, norm of subgrad 1062.353884 dualbound = 2251385.774599, lowerbound=1127188.774599, norm of subgrad 40.596941 stepsize= 1.000000
+dualbound = 2251594.247103, lowerbound=1131335.247103, norm of subgrad 1064.348743 dualbound = 2251594.247103, lowerbound=1131335.247103, norm of subgrad 41.369947 stepsize= 1.000000
+dualbound = 2251813.616140, lowerbound=1134033.616140, norm of subgrad 1065.604812 dualbound = 2251813.616140, lowerbound=1134033.616140, norm of subgrad 41.223404 stepsize= 1.000000
+dualbound = 2252040.957564, lowerbound=1125153.957564, norm of subgrad 1061.428734 dualbound = 2252040.957564, lowerbound=1125153.957564, norm of subgrad 41.283670 stepsize= 1.000000
+dualbound = 2252262.358963, lowerbound=1132356.358963, norm of subgrad 1064.810011 dualbound = 2252262.358963, lowerbound=1132356.358963, norm of subgrad 41.053641 stepsize= 1.000000
+dualbound = 2252509.862761, lowerbound=1126716.862761, norm of subgrad 1062.155762 dualbound = 2252509.862761, lowerbound=1126716.862761, norm of subgrad 41.297746 stepsize= 1.000000
+dualbound = 2252718.451947, lowerbound=1133818.451947, norm of subgrad 1065.538104 dualbound = 2252718.451947, lowerbound=1133818.451947, norm of subgrad 41.971290 stepsize= 1.000000
+dualbound = 2252933.135358, lowerbound=1129657.135358, norm of subgrad 1063.571876 dualbound = 2252933.135358, lowerbound=1129657.135358, norm of subgrad 41.745460 stepsize= 1.000000
+dualbound = 2253166.818628, lowerbound=1129838.818628, norm of subgrad 1063.685019 dualbound = 2253166.818628, lowerbound=1129838.818628, norm of subgrad 42.669465 stepsize= 1.000000
+dualbound = 2253366.866728, lowerbound=1126535.866728, norm of subgrad 1062.128931 dualbound = 2253366.866728, lowerbound=1126535.866728, norm of subgrad 42.214312 stepsize= 1.000000
+dualbound = 2253627.158047, lowerbound=1130802.158047, norm of subgrad 1064.103453 dualbound = 2253627.158047, lowerbound=1130802.158047, norm of subgrad 42.122338 stepsize= 1.000000
+dualbound = 2253837.203716, lowerbound=1128161.203716, norm of subgrad 1062.880616 dualbound = 2253837.203716, lowerbound=1128161.203716, norm of subgrad 42.000544 stepsize= 1.000000
+dualbound = 2254065.305238, lowerbound=1131572.305238, norm of subgrad 1064.452585 dualbound = 2254065.305238, lowerbound=1131572.305238, norm of subgrad 41.413784 stepsize= 1.000000
+dualbound = 2254304.232634, lowerbound=1128456.232634, norm of subgrad 1062.986469 dualbound = 2254304.232634, lowerbound=1128456.232634, norm of subgrad 41.508161 stepsize= 1.000000
+dualbound = 2254528.230572, lowerbound=1133295.230572, norm of subgrad 1065.246089 dualbound = 2254528.230572, lowerbound=1133295.230572, norm of subgrad 40.963373 stepsize= 1.000000
+dualbound = 2254749.119819, lowerbound=1132411.119819, norm of subgrad 1064.802855 dualbound = 2254749.119819, lowerbound=1132411.119819, norm of subgrad 40.185685 stepsize= 1.000000
+dualbound = 2255013.353719, lowerbound=1130311.353719, norm of subgrad 1063.843200 dualbound = 2255013.353719, lowerbound=1130311.353719, norm of subgrad 41.415382 stepsize= 1.000000
+dualbound = 2255195.619985, lowerbound=1128890.619985, norm of subgrad 1063.198768 dualbound = 2255195.619985, lowerbound=1128890.619985, norm of subgrad 41.027628 stepsize= 1.000000
+dualbound = 2255433.993071, lowerbound=1130231.993071, norm of subgrad 1063.833630 dualbound = 2255433.993071, lowerbound=1130231.993071, norm of subgrad 41.813551 stepsize= 1.000000
+dualbound = 2255648.395926, lowerbound=1130115.395926, norm of subgrad 1063.759557 dualbound = 2255648.395926, lowerbound=1130115.395926, norm of subgrad 41.029293 stepsize= 1.000000
+dualbound = 2255888.856097, lowerbound=1135465.856097, norm of subgrad 1066.280383 dualbound = 2255888.856097, lowerbound=1135465.856097, norm of subgrad 41.574754 stepsize= 1.000000
+dualbound = 2256114.334120, lowerbound=1129047.334120, norm of subgrad 1063.253184 dualbound = 2256114.334120, lowerbound=1129047.334120, norm of subgrad 41.054574 stepsize= 1.000000
+dualbound = 2256346.188965, lowerbound=1129366.188965, norm of subgrad 1063.423335 dualbound = 2256346.188965, lowerbound=1129366.188965, norm of subgrad 41.651589 stepsize= 1.000000
+dualbound = 2256555.852068, lowerbound=1129861.852068, norm of subgrad 1063.662471 dualbound = 2256555.852068, lowerbound=1129861.852068, norm of subgrad 41.541101 stepsize= 1.000000
+dualbound = 2256783.621425, lowerbound=1128456.621425, norm of subgrad 1063.009700 dualbound = 2256783.621425, lowerbound=1128456.621425, norm of subgrad 41.961522 stepsize= 1.000000
+dualbound = 2257010.833073, lowerbound=1132770.833073, norm of subgrad 1065.039827 dualbound = 2257010.833073, lowerbound=1132770.833073, norm of subgrad 42.026321 stepsize= 1.000000
+dualbound = 2257215.381659, lowerbound=1134143.381659, norm of subgrad 1065.688220 dualbound = 2257215.381659, lowerbound=1134143.381659, norm of subgrad 41.863452 stepsize= 1.000000
+dualbound = 2257443.209429, lowerbound=1129929.209429, norm of subgrad 1063.701184 dualbound = 2257443.209429, lowerbound=1129929.209429, norm of subgrad 41.938381 stepsize= 1.000000
+dualbound = 2257679.914693, lowerbound=1131669.914693, norm of subgrad 1064.514403 dualbound = 2257679.914693, lowerbound=1131669.914693, norm of subgrad 41.924996 stepsize= 1.000000
+dualbound = 2257905.049075, lowerbound=1130524.049075, norm of subgrad 1063.924362 dualbound = 2257905.049075, lowerbound=1130524.049075, norm of subgrad 40.449158 stepsize= 1.000000
+dualbound = 2258176.730335, lowerbound=1128283.730335, norm of subgrad 1062.871455 dualbound = 2258176.730335, lowerbound=1128283.730335, norm of subgrad 41.032685 stepsize= 1.000000
+dualbound = 2258364.108534, lowerbound=1132870.108534, norm of subgrad 1065.060143 dualbound = 2258364.108534, lowerbound=1132870.108534, norm of subgrad 40.870261 stepsize= 1.000000
+dualbound = 2258586.701531, lowerbound=1130383.701531, norm of subgrad 1063.893651 dualbound = 2258586.701531, lowerbound=1130383.701531, norm of subgrad 41.335130 stepsize= 1.000000
+dualbound = 2258810.457995, lowerbound=1127925.457995, norm of subgrad 1062.753244 dualbound = 2258810.457995, lowerbound=1127925.457995, norm of subgrad 41.746335 stepsize= 1.000000
+dualbound = 2259012.771898, lowerbound=1130669.771898, norm of subgrad 1064.037016 dualbound = 2259012.771898, lowerbound=1130669.771898, norm of subgrad 41.319655 stepsize= 1.000000
+dualbound = 2259260.192536, lowerbound=1132761.192536, norm of subgrad 1065.028729 dualbound = 2259260.192536, lowerbound=1132761.192536, norm of subgrad 42.100126 stepsize= 1.000000
+dualbound = 2259494.887867, lowerbound=1135773.887867, norm of subgrad 1066.395746 dualbound = 2259494.887867, lowerbound=1135773.887867, norm of subgrad 40.751630 stepsize= 1.000000
+dualbound = 2259714.167956, lowerbound=1128915.167956, norm of subgrad 1063.222539 dualbound = 2259714.167956, lowerbound=1128915.167956, norm of subgrad 41.788516 stepsize= 1.000000
+dualbound = 2259912.903707, lowerbound=1129155.903707, norm of subgrad 1063.342797 dualbound = 2259912.903707, lowerbound=1129155.903707, norm of subgrad 41.722125 stepsize= 1.000000
+dualbound = 2260146.941941, lowerbound=1128892.941941, norm of subgrad 1063.198919 dualbound = 2260146.941941, lowerbound=1128892.941941, norm of subgrad 41.629776 stepsize= 1.000000
+dualbound = 2260372.868556, lowerbound=1130937.868556, norm of subgrad 1064.142786 dualbound = 2260372.868556, lowerbound=1130937.868556, norm of subgrad 41.084384 stepsize= 1.000000
+dualbound = 2260585.954849, lowerbound=1132156.954849, norm of subgrad 1064.726235 dualbound = 2260585.954849, lowerbound=1132156.954849, norm of subgrad 41.207843 stepsize= 1.000000
+dualbound = 2260810.365418, lowerbound=1129501.365418, norm of subgrad 1063.464793 dualbound = 2260810.365418, lowerbound=1129501.365418, norm of subgrad 40.992811 stepsize= 1.000000
+dualbound = 2261071.628845, lowerbound=1131940.628845, norm of subgrad 1064.597402 dualbound = 2261071.628845, lowerbound=1131940.628845, norm of subgrad 41.088483 stepsize= 1.000000
+dualbound = 2261284.797993, lowerbound=1131749.797993, norm of subgrad 1064.515288 dualbound = 2261284.797993, lowerbound=1131749.797993, norm of subgrad 40.696058 stepsize= 1.000000
+dualbound = 2261510.029082, lowerbound=1129042.029082, norm of subgrad 1063.258214 dualbound = 2261510.029082, lowerbound=1129042.029082, norm of subgrad 41.245983 stepsize= 1.000000
+dualbound = 2261727.557442, lowerbound=1130939.557442, norm of subgrad 1064.158615 dualbound = 2261727.557442, lowerbound=1130939.557442, norm of subgrad 41.370622 stepsize= 1.000000
+dualbound = 2261948.796592, lowerbound=1134178.796592, norm of subgrad 1065.694045 dualbound = 2261948.796592, lowerbound=1134178.796592, norm of subgrad 41.788026 stepsize= 1.000000
+dualbound = 2262155.949655, lowerbound=1126921.949655, norm of subgrad 1062.292309 dualbound = 2262155.949655, lowerbound=1126921.949655, norm of subgrad 41.834831 stepsize= 1.000000
+dualbound = 2262382.107780, lowerbound=1133401.107780, norm of subgrad 1065.325822 dualbound = 2262382.107780, lowerbound=1133401.107780, norm of subgrad 41.763119 stepsize= 1.000000
+dualbound = 2262619.921448, lowerbound=1127231.921448, norm of subgrad 1062.426902 dualbound = 2262619.921448, lowerbound=1127231.921448, norm of subgrad 41.914361 stepsize= 1.000000
+dualbound = 2262834.788734, lowerbound=1136281.788734, norm of subgrad 1066.677453 dualbound = 2262834.788734, lowerbound=1136281.788734, norm of subgrad 41.639732 stepsize= 1.000000
+dualbound = 2263061.336537, lowerbound=1129948.336537, norm of subgrad 1063.707355 dualbound = 2263061.336537, lowerbound=1129948.336537, norm of subgrad 41.851497 stepsize= 1.000000
+dualbound = 2263298.213936, lowerbound=1133234.213936, norm of subgrad 1065.224490 dualbound = 2263298.213936, lowerbound=1133234.213936, norm of subgrad 41.302269 stepsize= 1.000000
+dualbound = 2263518.234302, lowerbound=1130577.234302, norm of subgrad 1063.970974 dualbound = 2263518.234302, lowerbound=1130577.234302, norm of subgrad 40.951439 stepsize= 1.000000
+dualbound = 2263758.924623, lowerbound=1130942.924623, norm of subgrad 1064.165365 dualbound = 2263758.924623, lowerbound=1130942.924623, norm of subgrad 41.781459 stepsize= 1.000000
+dualbound = 2263952.077690, lowerbound=1133061.077690, norm of subgrad 1065.153547 dualbound = 2263952.077690, lowerbound=1133061.077690, norm of subgrad 41.038434 stepsize= 1.000000
+dualbound = 2264205.392759, lowerbound=1131355.392759, norm of subgrad 1064.321565 dualbound = 2264205.392759, lowerbound=1131355.392759, norm of subgrad 40.967244 stepsize= 1.000000
+dualbound = 2264401.460793, lowerbound=1130068.460793, norm of subgrad 1063.739846 dualbound = 2264401.460793, lowerbound=1130068.460793, norm of subgrad 40.866466 stepsize= 1.000000
+dualbound = 2264659.039154, lowerbound=1132681.039154, norm of subgrad 1064.944148 dualbound = 2264659.039154, lowerbound=1132681.039154, norm of subgrad 41.019244 stepsize= 1.000000
+dualbound = 2264894.872685, lowerbound=1132032.872685, norm of subgrad 1064.646830 dualbound = 2264894.872685, lowerbound=1132032.872685, norm of subgrad 40.936946 stepsize= 1.000000
+dualbound = 2265099.424403, lowerbound=1131437.424403, norm of subgrad 1064.395803 dualbound = 2265099.424403, lowerbound=1131437.424403, norm of subgrad 41.298326 stepsize= 1.000000
+dualbound = 2265285.781852, lowerbound=1131654.781852, norm of subgrad 1064.514341 dualbound = 2265285.781852, lowerbound=1131654.781852, norm of subgrad 41.501295 stepsize= 1.000000
+dualbound = 2265523.742538, lowerbound=1129855.742538, norm of subgrad 1063.644556 dualbound = 2265523.742538, lowerbound=1129855.742538, norm of subgrad 41.496514 stepsize= 1.000000
+dualbound = 2265754.279035, lowerbound=1135327.279035, norm of subgrad 1066.213993 dualbound = 2265754.279035, lowerbound=1135327.279035, norm of subgrad 41.419035 stepsize= 1.000000
+dualbound = 2265997.466556, lowerbound=1130289.466556, norm of subgrad 1063.839493 dualbound = 2265997.466556, lowerbound=1130289.466556, norm of subgrad 41.330225 stepsize= 1.000000
+dualbound = 2266189.084171, lowerbound=1133767.084171, norm of subgrad 1065.500391 dualbound = 2266189.084171, lowerbound=1133767.084171, norm of subgrad 41.420015 stepsize= 1.000000
+dualbound = 2266429.630985, lowerbound=1133817.630985, norm of subgrad 1065.526457 dualbound = 2266429.630985, lowerbound=1133817.630985, norm of subgrad 42.065982 stepsize= 1.000000
+dualbound = 2266652.519744, lowerbound=1131379.519744, norm of subgrad 1064.389271 dualbound = 2266652.519744, lowerbound=1131379.519744, norm of subgrad 42.046269 stepsize= 1.000000
+dualbound = 2266854.785577, lowerbound=1131835.785577, norm of subgrad 1064.592310 dualbound = 2266854.785577, lowerbound=1131835.785577, norm of subgrad 41.512237 stepsize= 1.000000
+dualbound = 2267088.123579, lowerbound=1134201.123579, norm of subgrad 1065.672616 dualbound = 2267088.123579, lowerbound=1134201.123579, norm of subgrad 41.113720 stepsize= 1.000000
+dualbound = 2267311.090705, lowerbound=1134230.090705, norm of subgrad 1065.694183 dualbound = 2267311.090705, lowerbound=1134230.090705, norm of subgrad 41.194261 stepsize= 1.000000
+dualbound = 2267531.556832, lowerbound=1128442.556832, norm of subgrad 1063.000262 dualbound = 2267531.556832, lowerbound=1128442.556832, norm of subgrad 41.802705 stepsize= 1.000000
+dualbound = 2267759.307843, lowerbound=1130039.307843, norm of subgrad 1063.705931 dualbound = 2267759.307843, lowerbound=1130039.307843, norm of subgrad 40.727767 stepsize= 1.000000
+dualbound = 2267993.814702, lowerbound=1129919.814702, norm of subgrad 1063.669975 dualbound = 2267993.814702, lowerbound=1129919.814702, norm of subgrad 41.334088 stepsize= 1.000000
+dualbound = 2268227.419260, lowerbound=1134070.419260, norm of subgrad 1065.604251 dualbound = 2268227.419260, lowerbound=1134070.419260, norm of subgrad 40.934149 stepsize= 1.000000
+dualbound = 2268451.945273, lowerbound=1131460.945273, norm of subgrad 1064.364573 dualbound = 2268451.945273, lowerbound=1131460.945273, norm of subgrad 40.441637 stepsize= 1.000000
+dualbound = 2268678.835938, lowerbound=1127719.835938, norm of subgrad 1062.608976 dualbound = 2268678.835938, lowerbound=1127719.835938, norm of subgrad 40.557252 stepsize= 1.000000
+dualbound = 2268907.899665, lowerbound=1136135.899665, norm of subgrad 1066.589377 dualbound = 2268907.899665, lowerbound=1136135.899665, norm of subgrad 41.304524 stepsize= 1.000000
+dualbound = 2269095.358010, lowerbound=1128112.358010, norm of subgrad 1062.803537 dualbound = 2269095.358010, lowerbound=1128112.358010, norm of subgrad 40.329373 stepsize= 1.000000
+dualbound = 2269331.483434, lowerbound=1133774.483434, norm of subgrad 1065.509964 dualbound = 2269331.483434, lowerbound=1133774.483434, norm of subgrad 42.108496 stepsize= 1.000000
+dualbound = 2269526.084441, lowerbound=1137831.084441, norm of subgrad 1067.421231 dualbound = 2269526.084441, lowerbound=1137831.084441, norm of subgrad 41.852133 stepsize= 1.000000
+dualbound = 2269755.797082, lowerbound=1130976.797082, norm of subgrad 1064.202423 dualbound = 2269755.797082, lowerbound=1130976.797082, norm of subgrad 42.186641 stepsize= 1.000000
+dualbound = 2269980.716678, lowerbound=1132179.716678, norm of subgrad 1064.758525 dualbound = 2269980.716678, lowerbound=1132179.716678, norm of subgrad 41.903694 stepsize= 1.000000
+dualbound = 2270200.086876, lowerbound=1133587.086876, norm of subgrad 1065.433286 dualbound = 2270200.086876, lowerbound=1133587.086876, norm of subgrad 42.194433 stepsize= 1.000000
+dualbound = 2270418.662669, lowerbound=1128595.662669, norm of subgrad 1063.046407 dualbound = 2270418.662669, lowerbound=1128595.662669, norm of subgrad 41.116612 stepsize= 1.000000
+dualbound = 2270659.141183, lowerbound=1133744.141183, norm of subgrad 1065.500418 dualbound = 2270659.141183, lowerbound=1133744.141183, norm of subgrad 42.278582 stepsize= 1.000000
+dualbound = 2270883.299435, lowerbound=1133385.299435, norm of subgrad 1065.289773 dualbound = 2270883.299435, lowerbound=1133385.299435, norm of subgrad 41.001930 stepsize= 1.000000
+dualbound = 2271113.925330, lowerbound=1132445.925330, norm of subgrad 1064.825303 dualbound = 2271113.925330, lowerbound=1132445.925330, norm of subgrad 40.467591 stepsize= 1.000000
+dualbound = 2271356.143641, lowerbound=1131367.143641, norm of subgrad 1064.319099 dualbound = 2271356.143641, lowerbound=1131367.143641, norm of subgrad 40.622879 stepsize= 1.000000
+dualbound = 2271577.908620, lowerbound=1132457.908620, norm of subgrad 1064.870841 dualbound = 2271577.908620, lowerbound=1132457.908620, norm of subgrad 41.397645 stepsize= 1.000000
+dualbound = 2271758.904992, lowerbound=1134739.904992, norm of subgrad 1065.932880 dualbound = 2271758.904992, lowerbound=1134739.904992, norm of subgrad 40.669354 stepsize= 1.000000
+dualbound = 2272007.894147, lowerbound=1132505.894147, norm of subgrad 1064.891494 dualbound = 2272007.894147, lowerbound=1132505.894147, norm of subgrad 41.677202 stepsize= 1.000000
+dualbound = 2272201.011262, lowerbound=1136942.011262, norm of subgrad 1066.966265 dualbound = 2272201.011262, lowerbound=1136942.011262, norm of subgrad 40.842589 stepsize= 1.000000
+dualbound = 2272427.548700, lowerbound=1132787.548700, norm of subgrad 1065.026548 dualbound = 2272427.548700, lowerbound=1132787.548700, norm of subgrad 41.479362 stepsize= 1.000000
+dualbound = 2272651.777154, lowerbound=1130259.777154, norm of subgrad 1063.818959 dualbound = 2272651.777154, lowerbound=1130259.777154, norm of subgrad 40.929555 stepsize= 1.000000
+dualbound = 2272887.777977, lowerbound=1132836.777977, norm of subgrad 1065.038862 dualbound = 2272887.777977, lowerbound=1132836.777977, norm of subgrad 41.315866 stepsize= 1.000000
+dualbound = 2273063.931604, lowerbound=1131559.931604, norm of subgrad 1064.503138 dualbound = 2273063.931604, lowerbound=1131559.931604, norm of subgrad 42.227404 stepsize= 1.000000
+dualbound = 2273299.346569, lowerbound=1132223.346569, norm of subgrad 1064.747551 dualbound = 2273299.346569, lowerbound=1132223.346569, norm of subgrad 41.223961 stepsize= 1.000000
+dualbound = 2273552.873252, lowerbound=1135034.873252, norm of subgrad 1066.049189 dualbound = 2273552.873252, lowerbound=1135034.873252, norm of subgrad 40.982029 stepsize= 1.000000
+dualbound = 2273768.647872, lowerbound=1134675.647872, norm of subgrad 1065.909775 dualbound = 2273768.647872, lowerbound=1134675.647872, norm of subgrad 41.276805 stepsize= 1.000000
+dualbound = 2273961.579241, lowerbound=1133587.579241, norm of subgrad 1065.398789 dualbound = 2273961.579241, lowerbound=1133587.579241, norm of subgrad 40.986966 stepsize= 1.000000
+dualbound = 2274208.098647, lowerbound=1129827.098647, norm of subgrad 1063.644254 dualbound = 2274208.098647, lowerbound=1129827.098647, norm of subgrad 41.934704 stepsize= 1.000000
+dualbound = 2274403.651786, lowerbound=1132411.651786, norm of subgrad 1064.863678 dualbound = 2274403.651786, lowerbound=1132411.651786, norm of subgrad 41.455436 stepsize= 1.000000
+dualbound = 2274624.042238, lowerbound=1134492.042238, norm of subgrad 1065.829744 dualbound = 2274624.042238, lowerbound=1134492.042238, norm of subgrad 41.489643 stepsize= 1.000000
+dualbound = 2274843.258250, lowerbound=1132535.258250, norm of subgrad 1064.924062 dualbound = 2274843.258250, lowerbound=1132535.258250, norm of subgrad 41.799713 stepsize= 1.000000
+dualbound = 2275075.060646, lowerbound=1133028.060646, norm of subgrad 1065.139456 dualbound = 2275075.060646, lowerbound=1133028.060646, norm of subgrad 41.542778 stepsize= 1.000000
+dualbound = 2275290.089495, lowerbound=1132125.089495, norm of subgrad 1064.710801 dualbound = 2275290.089495, lowerbound=1132125.089495, norm of subgrad 41.219278 stepsize= 1.000000
+dualbound = 2275546.215598, lowerbound=1138616.215598, norm of subgrad 1067.719633 dualbound = 2275546.215598, lowerbound=1138616.215598, norm of subgrad 40.805957 stepsize= 1.000000
+dualbound = 2275753.662252, lowerbound=1128881.662252, norm of subgrad 1063.164457 dualbound = 2275753.662252, lowerbound=1128881.662252, norm of subgrad 40.551777 stepsize= 1.000000
+dualbound = 2275989.342700, lowerbound=1134312.342700, norm of subgrad 1065.760922 dualbound = 2275989.342700, lowerbound=1134312.342700, norm of subgrad 42.067570 stepsize= 1.000000
+dualbound = 2276184.801854, lowerbound=1129669.801854, norm of subgrad 1063.568898 dualbound = 2276184.801854, lowerbound=1129669.801854, norm of subgrad 41.285096 stepsize= 1.000000
+dualbound = 2276417.447293, lowerbound=1133756.447293, norm of subgrad 1065.492115 dualbound = 2276417.447293, lowerbound=1133756.447293, norm of subgrad 41.828763 stepsize= 1.000000
+dualbound = 2276629.876990, lowerbound=1133509.876990, norm of subgrad 1065.378279 dualbound = 2276629.876990, lowerbound=1133509.876990, norm of subgrad 41.634477 stepsize= 1.000000
+dualbound = 2276861.035663, lowerbound=1129409.035663, norm of subgrad 1063.421852 dualbound = 2276861.035663, lowerbound=1129409.035663, norm of subgrad 41.087208 stepsize= 1.000000
+dualbound = 2277096.915268, lowerbound=1133739.915269, norm of subgrad 1065.472625 dualbound = 2277096.915268, lowerbound=1133739.915269, norm of subgrad 41.567771 stepsize= 1.000000
+dualbound = 2277307.787451, lowerbound=1134904.787451, norm of subgrad 1066.026166 dualbound = 2277307.787451, lowerbound=1134904.787451, norm of subgrad 41.447222 stepsize= 1.000000
+dualbound = 2277522.547150, lowerbound=1129092.547150, norm of subgrad 1063.295607 dualbound = 2277522.547150, lowerbound=1129092.547150, norm of subgrad 41.469986 stepsize= 1.000000
+dualbound = 2277749.659742, lowerbound=1129819.659742, norm of subgrad 1063.640757 dualbound = 2277749.659742, lowerbound=1129819.659742, norm of subgrad 41.702669 stepsize= 1.000000
+dualbound = 2277961.376862, lowerbound=1136799.376862, norm of subgrad 1066.942537 dualbound = 2277961.376862, lowerbound=1136799.376862, norm of subgrad 42.174840 stepsize= 1.000000
+dualbound = 2278184.804664, lowerbound=1133783.804664, norm of subgrad 1065.480082 dualbound = 2278184.804664, lowerbound=1133783.804664, norm of subgrad 41.078313 stepsize= 1.000000
+dualbound = 2278425.178972, lowerbound=1132035.178972, norm of subgrad 1064.689241 dualbound = 2278425.178972, lowerbound=1132035.178972, norm of subgrad 42.052043 stepsize= 1.000000
+dualbound = 2278624.719221, lowerbound=1133135.719221, norm of subgrad 1065.198441 dualbound = 2278624.719221, lowerbound=1133135.719221, norm of subgrad 41.370766 stepsize= 1.000000
+dualbound = 2278863.756780, lowerbound=1132502.756780, norm of subgrad 1064.869831 dualbound = 2278863.756780, lowerbound=1132502.756780, norm of subgrad 41.037027 stepsize= 1.000000
+dualbound = 2279076.442635, lowerbound=1131635.442635, norm of subgrad 1064.463923 dualbound = 2279076.442635, lowerbound=1131635.442635, norm of subgrad 40.751514 stepsize= 1.000000
+dualbound = 2279328.833536, lowerbound=1137278.833536, norm of subgrad 1067.118004 dualbound = 2279328.833536, lowerbound=1137278.833536, norm of subgrad 41.405204 stepsize= 1.000000
+dualbound = 2279518.659162, lowerbound=1133167.659162, norm of subgrad 1065.190433 dualbound = 2279518.659162, lowerbound=1133167.659162, norm of subgrad 40.654958 stepsize= 1.000000
+dualbound = 2279770.420959, lowerbound=1133385.420959, norm of subgrad 1065.295931 dualbound = 2279770.420959, lowerbound=1133385.420959, norm of subgrad 41.494118 stepsize= 1.000000
+dualbound = 2279962.797872, lowerbound=1128742.797872, norm of subgrad 1063.131600 dualbound = 2279962.797872, lowerbound=1128742.797872, norm of subgrad 41.211369 stepsize= 1.000000
+dualbound = 2280189.531535, lowerbound=1137859.531535, norm of subgrad 1067.405046 dualbound = 2280189.531535, lowerbound=1137859.531535, norm of subgrad 41.481727 stepsize= 1.000000
+dualbound = 2280417.015215, lowerbound=1130187.015215, norm of subgrad 1063.810141 dualbound = 2280417.015215, lowerbound=1130187.015215, norm of subgrad 41.623115 stepsize= 1.000000
+dualbound = 2280607.109025, lowerbound=1137867.109025, norm of subgrad 1067.439511 dualbound = 2280607.109025, lowerbound=1137867.109025, norm of subgrad 41.834123 stepsize= 1.000000
+dualbound = 2280839.216467, lowerbound=1126839.216467, norm of subgrad 1062.249131 dualbound = 2280839.216467, lowerbound=1126839.216467, norm of subgrad 42.025081 stepsize= 1.000000
+dualbound = 2281067.640844, lowerbound=1134502.640844, norm of subgrad 1065.837530 dualbound = 2281067.640844, lowerbound=1134502.640844, norm of subgrad 41.658425 stepsize= 1.000000
+dualbound = 2281292.557055, lowerbound=1136684.557055, norm of subgrad 1066.847485 dualbound = 2281292.557055, lowerbound=1136684.557055, norm of subgrad 41.278520 stepsize= 1.000000
+dualbound = 2281511.268373, lowerbound=1134159.268373, norm of subgrad 1065.669399 dualbound = 2281511.268373, lowerbound=1134159.268373, norm of subgrad 41.360746 stepsize= 1.000000
+dualbound = 2281708.488171, lowerbound=1129806.488171, norm of subgrad 1063.626574 dualbound = 2281708.488171, lowerbound=1129806.488171, norm of subgrad 41.136599 stepsize= 1.000000
+dualbound = 2281958.202749, lowerbound=1135305.202749, norm of subgrad 1066.215364 dualbound = 2281958.202749, lowerbound=1135305.202749, norm of subgrad 41.948952 stepsize= 1.000000
+dualbound = 2282159.248348, lowerbound=1133439.248348, norm of subgrad 1065.321664 dualbound = 2282159.248348, lowerbound=1133439.248348, norm of subgrad 40.890654 stepsize= 1.000000
+dualbound = 2282400.604501, lowerbound=1135985.604501, norm of subgrad 1066.525482 dualbound = 2282400.604501, lowerbound=1135985.604501, norm of subgrad 41.621583 stepsize= 1.000000
+dualbound = 2282614.122688, lowerbound=1133160.122688, norm of subgrad 1065.172344 dualbound = 2282614.122688, lowerbound=1133160.122688, norm of subgrad 40.564987 stepsize= 1.000000
+dualbound = 2282852.759939, lowerbound=1133424.759939, norm of subgrad 1065.321435 dualbound = 2282852.759939, lowerbound=1133424.759939, norm of subgrad 41.516711 stepsize= 1.000000
+dualbound = 2283026.235569, lowerbound=1133591.235569, norm of subgrad 1065.410829 dualbound = 2283026.235569, lowerbound=1133591.235569, norm of subgrad 41.017992 stepsize= 1.000000
+dualbound = 2283295.363761, lowerbound=1134043.363761, norm of subgrad 1065.594840 dualbound = 2283295.363761, lowerbound=1134043.363761, norm of subgrad 41.450310 stepsize= 1.000000
+dualbound = 2283500.807272, lowerbound=1136779.807272, norm of subgrad 1066.869630 dualbound = 2283500.807272, lowerbound=1136779.807272, norm of subgrad 40.452979 stepsize= 1.000000
+dualbound = 2283741.402813, lowerbound=1131278.402813, norm of subgrad 1064.297610 dualbound = 2283741.402813, lowerbound=1131278.402813, norm of subgrad 41.129011 stepsize= 1.000000
+dualbound = 2283919.135143, lowerbound=1136137.135143, norm of subgrad 1066.612458 dualbound = 2283919.135143, lowerbound=1136137.135143, norm of subgrad 41.264177 stepsize= 1.000000
+dualbound = 2284137.415353, lowerbound=1135390.415353, norm of subgrad 1066.248759 dualbound = 2284137.415353, lowerbound=1135390.415353, norm of subgrad 41.403867 stepsize= 1.000000
+dualbound = 2284350.681727, lowerbound=1132211.681727, norm of subgrad 1064.760387 dualbound = 2284350.681727, lowerbound=1132211.681727, norm of subgrad 41.427845 stepsize= 1.000000
+dualbound = 2284581.978261, lowerbound=1133232.978261, norm of subgrad 1065.203726 dualbound = 2284581.978261, lowerbound=1133232.978261, norm of subgrad 40.709907 stepsize= 1.000000
+dualbound = 2284816.064750, lowerbound=1134420.064750, norm of subgrad 1065.761730 dualbound = 2284816.064750, lowerbound=1134420.064750, norm of subgrad 40.768695 stepsize= 1.000000
+dualbound = 2285042.696414, lowerbound=1133079.696414, norm of subgrad 1065.141632 dualbound = 2285042.696414, lowerbound=1133079.696414, norm of subgrad 40.910044 stepsize= 1.000000
+dualbound = 2285264.836586, lowerbound=1134695.836586, norm of subgrad 1065.894853 dualbound = 2285264.836586, lowerbound=1134695.836586, norm of subgrad 40.720267 stepsize= 1.000000
+dualbound = 2285493.161783, lowerbound=1139139.161783, norm of subgrad 1068.030974 dualbound = 2285493.161783, lowerbound=1139139.161783, norm of subgrad 42.182048 stepsize= 1.000000
+dualbound = 2285649.493262, lowerbound=1132040.493262, norm of subgrad 1064.663559 dualbound = 2285649.493262, lowerbound=1132040.493262, norm of subgrad 40.302996 stepsize= 1.000000
+dualbound = 2285937.259100, lowerbound=1136586.259100, norm of subgrad 1066.797665 dualbound = 2285937.259100, lowerbound=1136586.259100, norm of subgrad 41.937642 stepsize= 1.000000
+dualbound = 2286120.023712, lowerbound=1132553.023712, norm of subgrad 1064.899537 dualbound = 2286120.023712, lowerbound=1132553.023712, norm of subgrad 40.506353 stepsize= 1.000000
+dualbound = 2286344.714527, lowerbound=1133724.714527, norm of subgrad 1065.489894 dualbound = 2286344.714527, lowerbound=1133724.714527, norm of subgrad 42.055806 stepsize= 1.000000
+dualbound = 2286541.640848, lowerbound=1130761.640848, norm of subgrad 1064.077366 dualbound = 2286541.640848, lowerbound=1130761.640848, norm of subgrad 41.181626 stepsize= 1.000000
+dualbound = 2286796.392597, lowerbound=1137095.392597, norm of subgrad 1067.054072 dualbound = 2286796.392597, lowerbound=1137095.392597, norm of subgrad 41.997045 stepsize= 1.000000
+dualbound = 2287000.160328, lowerbound=1135023.160328, norm of subgrad 1066.074181 dualbound = 2287000.160328, lowerbound=1135023.160328, norm of subgrad 41.167557 stepsize= 1.000000
+dualbound = 2287235.801042, lowerbound=1135478.801042, norm of subgrad 1066.281295 dualbound = 2287235.801042, lowerbound=1135478.801042, norm of subgrad 41.384064 stepsize= 1.000000
+dualbound = 2287448.733745, lowerbound=1134138.733745, norm of subgrad 1065.663518 dualbound = 2287448.733745, lowerbound=1134138.733745, norm of subgrad 41.387591 stepsize= 1.000000
+dualbound = 2287670.054169, lowerbound=1132540.054169, norm of subgrad 1064.927253 dualbound = 2287670.054169, lowerbound=1132540.054169, norm of subgrad 41.848780 stepsize= 1.000000
+dualbound = 2287873.790763, lowerbound=1136125.790763, norm of subgrad 1066.582294 dualbound = 2287873.790763, lowerbound=1136125.790763, norm of subgrad 40.935762 stepsize= 1.000000
+dualbound = 2288120.843823, lowerbound=1135505.843823, norm of subgrad 1066.262090 dualbound = 2288120.843823, lowerbound=1135505.843823, norm of subgrad 40.694632 stepsize= 1.000000
+dualbound = 2288351.534068, lowerbound=1133936.534068, norm of subgrad 1065.548466 dualbound = 2288351.534068, lowerbound=1133936.534068, norm of subgrad 41.081507 stepsize= 1.000000
+dualbound = 2288529.906096, lowerbound=1135524.906096, norm of subgrad 1066.314169 dualbound = 2288529.906096, lowerbound=1135524.906096, norm of subgrad 40.980142 stepsize= 1.000000
+dualbound = 2288761.039686, lowerbound=1132922.039686, norm of subgrad 1065.069500 dualbound = 2288761.039686, lowerbound=1132922.039686, norm of subgrad 41.013822 stepsize= 1.000000
+dualbound = 2288974.537046, lowerbound=1136857.537046, norm of subgrad 1066.966043 dualbound = 2288974.537046, lowerbound=1136857.537046, norm of subgrad 42.101038 stepsize= 1.000000
+dualbound = 2289185.794756, lowerbound=1132403.794756, norm of subgrad 1064.850597 dualbound = 2289185.794756, lowerbound=1132403.794756, norm of subgrad 41.403595 stepsize= 1.000000
+dualbound = 2289416.411816, lowerbound=1137903.411816, norm of subgrad 1067.423258 dualbound = 2289416.411816, lowerbound=1137903.411816, norm of subgrad 41.468266 stepsize= 1.000000
+dualbound = 2289607.154758, lowerbound=1136554.154758, norm of subgrad 1066.807928 dualbound = 2289607.154758, lowerbound=1136554.154758, norm of subgrad 41.421528 stepsize= 1.000000
+dualbound = 2289839.391878, lowerbound=1131675.391878, norm of subgrad 1064.505233 dualbound = 2289839.391878, lowerbound=1131675.391878, norm of subgrad 41.572071 stepsize= 1.000000
+dualbound = 2290069.217660, lowerbound=1133102.217660, norm of subgrad 1065.152204 dualbound = 2290069.217660, lowerbound=1133102.217660, norm of subgrad 40.949063 stepsize= 1.000000
+dualbound = 2290286.540917, lowerbound=1136942.540917, norm of subgrad 1066.951986 dualbound = 2290286.540917, lowerbound=1136942.540917, norm of subgrad 40.759333 stepsize= 1.000000
+dualbound = 2290516.229016, lowerbound=1132530.229016, norm of subgrad 1064.872400 dualbound = 2290516.229016, lowerbound=1132530.229016, norm of subgrad 40.653267 stepsize= 1.000000
+dualbound = 2290728.229276, lowerbound=1137029.229276, norm of subgrad 1067.027286 dualbound = 2290728.229276, lowerbound=1137029.229276, norm of subgrad 41.593272 stepsize= 1.000000
+dualbound = 2290913.499436, lowerbound=1132592.499436, norm of subgrad 1064.969718 dualbound = 2290913.499436, lowerbound=1132592.499436, norm of subgrad 41.872069 stepsize= 1.000000
+dualbound = 2291141.322906, lowerbound=1134129.322906, norm of subgrad 1065.662387 dualbound = 2291141.322906, lowerbound=1134129.322906, norm of subgrad 41.651212 stepsize= 1.000000
+dualbound = 2291356.042022, lowerbound=1136800.042022, norm of subgrad 1066.921760 dualbound = 2291356.042022, lowerbound=1136800.042022, norm of subgrad 41.673962 stepsize= 1.000000
+dualbound = 2291611.993389, lowerbound=1135237.993389, norm of subgrad 1066.134604 dualbound = 2291611.993389, lowerbound=1135237.993389, norm of subgrad 40.754771 stepsize= 1.000000
+dualbound = 2291812.482657, lowerbound=1138772.482657, norm of subgrad 1067.832142 dualbound = 2291812.482657, lowerbound=1138772.482657, norm of subgrad 41.152026 stepsize= 1.000000
+dualbound = 2292034.700640, lowerbound=1130631.700640, norm of subgrad 1063.981532 dualbound = 2292034.700640, lowerbound=1130631.700640, norm of subgrad 40.585933 stepsize= 1.000000
+dualbound = 2292245.795023, lowerbound=1134566.795023, norm of subgrad 1065.837603 dualbound = 2292245.795023, lowerbound=1134566.795023, norm of subgrad 40.670559 stepsize= 1.000000
+dualbound = 2292508.004708, lowerbound=1136573.004708, norm of subgrad 1066.768956 dualbound = 2292508.004708, lowerbound=1136573.004708, norm of subgrad 41.051306 stepsize= 1.000000
+dualbound = 2292708.083239, lowerbound=1137484.083239, norm of subgrad 1067.195429 dualbound = 2292708.083239, lowerbound=1137484.083239, norm of subgrad 40.275036 stepsize= 1.000000
+dualbound = 2292942.347298, lowerbound=1130209.347298, norm of subgrad 1063.788206 dualbound = 2292942.347298, lowerbound=1130209.347298, norm of subgrad 40.868864 stepsize= 1.000000
+dualbound = 2293122.736178, lowerbound=1134153.736178, norm of subgrad 1065.669149 dualbound = 2293122.736178, lowerbound=1134153.736178, norm of subgrad 40.955938 stepsize= 1.000000
+dualbound = 2293340.496406, lowerbound=1139370.496406, norm of subgrad 1068.114927 dualbound = 2293340.496406, lowerbound=1139370.496406, norm of subgrad 41.433805 stepsize= 1.000000
+dualbound = 2293549.700865, lowerbound=1133170.700865, norm of subgrad 1065.215331 dualbound = 2293549.700865, lowerbound=1133170.700865, norm of subgrad 41.499451 stepsize= 1.000000
+dualbound = 2293758.917830, lowerbound=1132097.917830, norm of subgrad 1064.694753 dualbound = 2293758.917830, lowerbound=1132097.917830, norm of subgrad 41.063572 stepsize= 1.000000
+dualbound = 2293991.877777, lowerbound=1137084.877777, norm of subgrad 1067.036025 dualbound = 2293991.877777, lowerbound=1137084.877777, norm of subgrad 41.399999 stepsize= 1.000000
+dualbound = 2294209.634998, lowerbound=1134657.634998, norm of subgrad 1065.927125 dualbound = 2294209.634998, lowerbound=1134657.634998, norm of subgrad 41.961378 stepsize= 1.000000
+dualbound = 2294403.684019, lowerbound=1138506.684019, norm of subgrad 1067.720321 dualbound = 2294403.684019, lowerbound=1138506.684019, norm of subgrad 41.401075 stepsize= 1.000000
+dualbound = 2294630.874360, lowerbound=1133660.874360, norm of subgrad 1065.446796 dualbound = 2294630.874360, lowerbound=1133660.874360, norm of subgrad 41.751531 stepsize= 1.000000
+dualbound = 2294834.348384, lowerbound=1134585.348384, norm of subgrad 1065.857096 dualbound = 2294834.348384, lowerbound=1134585.348384, norm of subgrad 40.859198 stepsize= 1.000000
+dualbound = 2295079.809572, lowerbound=1133959.809572, norm of subgrad 1065.561734 dualbound = 2295079.809572, lowerbound=1133959.809572, norm of subgrad 41.321437 stepsize= 1.000000
+dualbound = 2295299.822251, lowerbound=1134204.822251, norm of subgrad 1065.688426 dualbound = 2295299.822251, lowerbound=1134204.822251, norm of subgrad 41.316010 stepsize= 1.000000
+dualbound = 2295505.462844, lowerbound=1135339.462844, norm of subgrad 1066.230961 dualbound = 2295505.462844, lowerbound=1135339.462844, norm of subgrad 41.408219 stepsize= 1.000000
+dualbound = 2295724.463427, lowerbound=1138791.463427, norm of subgrad 1067.808252 dualbound = 2295724.463427, lowerbound=1138791.463427, norm of subgrad 40.521606 stepsize= 1.000000
+dualbound = 2295956.194253, lowerbound=1137633.194253, norm of subgrad 1067.308388 dualbound = 2295956.194253, lowerbound=1137633.194253, norm of subgrad 41.781944 stepsize= 1.000000
+dualbound = 2296118.477703, lowerbound=1135275.477703, norm of subgrad 1066.204707 dualbound = 2296118.477703, lowerbound=1135275.477703, norm of subgrad 40.979061 stepsize= 1.000000
+dualbound = 2296375.655374, lowerbound=1131768.655374, norm of subgrad 1064.542463 dualbound = 2296375.655374, lowerbound=1131768.655374, norm of subgrad 41.703449 stepsize= 1.000000
+dualbound = 2296577.656682, lowerbound=1138630.656682, norm of subgrad 1067.775565 dualbound = 2296577.656682, lowerbound=1138630.656682, norm of subgrad 41.424646 stepsize= 1.000000
+dualbound = 2296797.161842, lowerbound=1133649.161842, norm of subgrad 1065.456786 dualbound = 2296797.161842, lowerbound=1133649.161842, norm of subgrad 42.053599 stepsize= 1.000000
+dualbound = 2297001.737489, lowerbound=1136757.737489, norm of subgrad 1066.897248 dualbound = 2297001.737489, lowerbound=1136757.737489, norm of subgrad 41.431578 stepsize= 1.000000
+dualbound = 2297255.550680, lowerbound=1133094.550680, norm of subgrad 1065.159871 dualbound = 2297255.550680, lowerbound=1133094.550680, norm of subgrad 41.530870 stepsize= 1.000000
+dualbound = 2297466.924140, lowerbound=1139159.924140, norm of subgrad 1068.031331 dualbound = 2297466.924140, lowerbound=1139159.924140, norm of subgrad 41.741747 stepsize= 1.000000
+dualbound = 2297671.808181, lowerbound=1131322.808181, norm of subgrad 1064.339142 dualbound = 2297671.808181, lowerbound=1131322.808181, norm of subgrad 41.229650 stepsize= 1.000000
+dualbound = 2297897.905250, lowerbound=1137515.905250, norm of subgrad 1067.232358 dualbound = 2297897.905250, lowerbound=1137515.905250, norm of subgrad 41.171557 stepsize= 1.000000
+dualbound = 2298137.072789, lowerbound=1137374.072789, norm of subgrad 1067.124675 dualbound = 2298137.072789, lowerbound=1137374.072789, norm of subgrad 40.251305 stepsize= 1.000000
+dualbound = 2298329.481429, lowerbound=1133953.481429, norm of subgrad 1065.573311 dualbound = 2298329.481429, lowerbound=1133953.481429, norm of subgrad 41.053729 stepsize= 1.000000
+dualbound = 2298538.751533, lowerbound=1135482.751533, norm of subgrad 1066.281272 dualbound = 2298538.751533, lowerbound=1135482.751533, norm of subgrad 41.015486 stepsize= 1.000000
+dualbound = 2298785.110264, lowerbound=1135889.110264, norm of subgrad 1066.452113 dualbound = 2298785.110264, lowerbound=1135889.110264, norm of subgrad 40.955570 stepsize= 1.000000
+dualbound = 2298976.534434, lowerbound=1137627.534434, norm of subgrad 1067.294493 dualbound = 2298976.534434, lowerbound=1137627.534434, norm of subgrad 41.005172 stepsize= 1.000000
+dualbound = 2299194.547933, lowerbound=1141064.547933, norm of subgrad 1068.936644 dualbound = 2299194.547933, lowerbound=1141064.547933, norm of subgrad 42.178353 stepsize= 1.000000
+dualbound = 2299369.015313, lowerbound=1133413.015313, norm of subgrad 1065.333288 dualbound = 2299369.015313, lowerbound=1133413.015313, norm of subgrad 41.188195 stepsize= 1.000000
+dualbound = 2299638.357530, lowerbound=1135295.357530, norm of subgrad 1066.185893 dualbound = 2299638.357530, lowerbound=1135295.357530, norm of subgrad 41.549275 stepsize= 1.000000
+dualbound = 2299854.028576, lowerbound=1136683.028576, norm of subgrad 1066.822398 dualbound = 2299854.028576, lowerbound=1136683.028576, norm of subgrad 40.529878 stepsize= 1.000000
+dualbound = 2300074.592558, lowerbound=1136897.592558, norm of subgrad 1066.946387 dualbound = 2300074.592558, lowerbound=1136897.592558, norm of subgrad 41.201505 stepsize= 1.000000
+dualbound = 2300284.536055, lowerbound=1134157.536055, norm of subgrad 1065.660610 dualbound = 2300284.536055, lowerbound=1134157.536055, norm of subgrad 41.048063 stepsize= 1.000000
+dualbound = 2300495.478036, lowerbound=1135562.478036, norm of subgrad 1066.350542 dualbound = 2300495.478036, lowerbound=1135562.478036, norm of subgrad 41.856206 stepsize= 1.000000
+dualbound = 2300696.006336, lowerbound=1130866.006336, norm of subgrad 1064.101972 dualbound = 2300696.006336, lowerbound=1130866.006336, norm of subgrad 40.589756 stepsize= 1.000000
+dualbound = 2300948.394321, lowerbound=1137305.394321, norm of subgrad 1067.130917 dualbound = 2300948.394321, lowerbound=1137305.394321, norm of subgrad 41.417243 stepsize= 1.000000
+dualbound = 2301101.458205, lowerbound=1138526.458205, norm of subgrad 1067.725835 dualbound = 2301101.458205, lowerbound=1138526.458205, norm of subgrad 40.805194 stepsize= 1.000000
+dualbound = 2301324.149902, lowerbound=1136538.149902, norm of subgrad 1066.807925 dualbound = 2301324.149902, lowerbound=1136538.149902, norm of subgrad 41.996330 stepsize= 1.000000
+dualbound = 2301533.032140, lowerbound=1136863.032140, norm of subgrad 1066.921287 dualbound = 2301533.032140, lowerbound=1136863.032140, norm of subgrad 40.827469 stepsize= 1.000000
+dualbound = 2301788.380068, lowerbound=1134331.380068, norm of subgrad 1065.753433 dualbound = 2301788.380068, lowerbound=1134331.380068, norm of subgrad 41.884937 stepsize= 1.000000
+dualbound = 2301972.172868, lowerbound=1136356.172868, norm of subgrad 1066.677633 dualbound = 2301972.172868, lowerbound=1136356.172868, norm of subgrad 40.358305 stepsize= 1.000000
+dualbound = 2302210.234058, lowerbound=1134382.234058, norm of subgrad 1065.768377 dualbound = 2302210.234058, lowerbound=1134382.234058, norm of subgrad 41.449502 stepsize= 1.000000
+dualbound = 2302402.784528, lowerbound=1140713.784528, norm of subgrad 1068.757589 dualbound = 2302402.784528, lowerbound=1140713.784528, norm of subgrad 41.491571 stepsize= 1.000000
+dualbound = 2302621.824525, lowerbound=1134171.824525, norm of subgrad 1065.691712 dualbound = 2302621.824525, lowerbound=1134171.824525, norm of subgrad 41.785643 stepsize= 1.000000
+dualbound = 2302818.637161, lowerbound=1136656.637161, norm of subgrad 1066.863458 dualbound = 2302818.637161, lowerbound=1136656.637161, norm of subgrad 41.687080 stepsize= 1.000000
+dualbound = 2303060.746508, lowerbound=1136568.746508, norm of subgrad 1066.781490 dualbound = 2303060.746508, lowerbound=1136568.746508, norm of subgrad 41.183848 stepsize= 1.000000
+dualbound = 2303267.130749, lowerbound=1137916.130749, norm of subgrad 1067.401111 dualbound = 2303267.130749, lowerbound=1137916.130749, norm of subgrad 40.439884 stepsize= 1.000000
+dualbound = 2303498.916275, lowerbound=1133076.916275, norm of subgrad 1065.152063 dualbound = 2303498.916275, lowerbound=1133076.916275, norm of subgrad 41.276937 stepsize= 1.000000
+dualbound = 2303710.923157, lowerbound=1138995.923157, norm of subgrad 1067.928801 dualbound = 2303710.923157, lowerbound=1138995.923157, norm of subgrad 41.085361 stepsize= 1.000000
+dualbound = 2303922.680692, lowerbound=1132422.680692, norm of subgrad 1064.821901 dualbound = 2303922.680692, lowerbound=1132422.680692, norm of subgrad 40.432135 stepsize= 1.000000
+dualbound = 2304145.061741, lowerbound=1139657.061741, norm of subgrad 1068.208342 dualbound = 2304145.061741, lowerbound=1139657.061741, norm of subgrad 40.427479 stepsize= 1.000000
+dualbound = 2304351.512170, lowerbound=1134058.512170, norm of subgrad 1065.623532 dualbound = 2304351.512170, lowerbound=1134058.512170, norm of subgrad 41.248642 stepsize= 1.000000
+dualbound = 2304557.455115, lowerbound=1138447.455115, norm of subgrad 1067.660740 dualbound = 2304557.455115, lowerbound=1138447.455115, norm of subgrad 40.717846 stepsize= 1.000000
+dualbound = 2304783.400122, lowerbound=1132390.400122, norm of subgrad 1064.834447 dualbound = 2304783.400122, lowerbound=1132390.400122, norm of subgrad 41.327291 stepsize= 1.000000
+dualbound = 2304990.917114, lowerbound=1140454.917114, norm of subgrad 1068.616824 dualbound = 2304990.917114, lowerbound=1140454.917114, norm of subgrad 41.164511 stepsize= 1.000000
+dualbound = 2305209.424427, lowerbound=1134420.424427, norm of subgrad 1065.809751 dualbound = 2305209.424427, lowerbound=1134420.424427, norm of subgrad 41.815156 stepsize= 1.000000
+dualbound = 2305413.745064, lowerbound=1137262.745064, norm of subgrad 1067.116556 dualbound = 2305413.745064, lowerbound=1137262.745064, norm of subgrad 40.979515 stepsize= 1.000000
+dualbound = 2305656.178918, lowerbound=1135426.178918, norm of subgrad 1066.243021 dualbound = 2305656.178918, lowerbound=1135426.178918, norm of subgrad 41.114886 stepsize= 1.000000
+dualbound = 2305857.722714, lowerbound=1141010.722714, norm of subgrad 1068.882932 dualbound = 2305857.722714, lowerbound=1141010.722714, norm of subgrad 41.249773 stepsize= 1.000000
+dualbound = 2306073.269905, lowerbound=1133089.269905, norm of subgrad 1065.156453 dualbound = 2306073.269905, lowerbound=1133089.269905, norm of subgrad 41.043236 stepsize= 1.000000
+dualbound = 2306266.406390, lowerbound=1139134.406390, norm of subgrad 1068.012362 dualbound = 2306266.406390, lowerbound=1139134.406390, norm of subgrad 41.341704 stepsize= 1.000000
+dualbound = 2306471.382039, lowerbound=1133628.382039, norm of subgrad 1065.446095 dualbound = 2306471.382039, lowerbound=1133628.382039, norm of subgrad 41.856608 stepsize= 1.000000
+dualbound = 2306722.983938, lowerbound=1138332.983938, norm of subgrad 1067.620712 dualbound = 2306722.983938, lowerbound=1138332.983938, norm of subgrad 41.624535 stepsize= 1.000000
+dualbound = 2306925.461236, lowerbound=1133356.461236, norm of subgrad 1065.314724 dualbound = 2306925.461236, lowerbound=1133356.461236, norm of subgrad 41.731011 stepsize= 1.000000
+dualbound = 2307138.344386, lowerbound=1135841.344386, norm of subgrad 1066.483635 dualbound = 2307138.344386, lowerbound=1135841.344386, norm of subgrad 41.939041 stepsize= 1.000000
+dualbound = 2307303.997118, lowerbound=1135315.997118, norm of subgrad 1066.214330 dualbound = 2307303.997118, lowerbound=1135315.997118, norm of subgrad 40.775639 stepsize= 1.000000
+dualbound = 2307577.161301, lowerbound=1141208.161301, norm of subgrad 1068.943947 dualbound = 2307577.161301, lowerbound=1141208.161301, norm of subgrad 41.305740 stepsize= 1.000000
+dualbound = 2307788.067202, lowerbound=1135785.067202, norm of subgrad 1066.412710 dualbound = 2307788.067202, lowerbound=1135785.067202, norm of subgrad 40.766480 stepsize= 1.000000
+dualbound = 2308008.296485, lowerbound=1133758.296485, norm of subgrad 1065.469050 dualbound = 2308008.296485, lowerbound=1133758.296485, norm of subgrad 41.063722 stepsize= 1.000000
+dualbound = 2308211.821763, lowerbound=1136536.821763, norm of subgrad 1066.758090 dualbound = 2308211.821763, lowerbound=1136536.821763, norm of subgrad 40.491052 stepsize= 1.000000
+dualbound = 2308428.987356, lowerbound=1136138.987356, norm of subgrad 1066.577699 dualbound = 2308428.987356, lowerbound=1136138.987356, norm of subgrad 40.818692 stepsize= 1.000000
+dualbound = 2308638.706361, lowerbound=1140669.706361, norm of subgrad 1068.724336 dualbound = 2308638.706361, lowerbound=1140669.706361, norm of subgrad 41.372926 stepsize= 1.000000
+dualbound = 2308859.410485, lowerbound=1136994.410485, norm of subgrad 1066.970670 dualbound = 2308859.410485, lowerbound=1136994.410485, norm of subgrad 40.653464 stepsize= 1.000000
+dualbound = 2309083.563353, lowerbound=1137000.563353, norm of subgrad 1066.999795 dualbound = 2309083.563353, lowerbound=1137000.563353, norm of subgrad 41.378169 stepsize= 1.000000
+dualbound = 2309282.776127, lowerbound=1136102.776127, norm of subgrad 1066.559317 dualbound = 2309282.776127, lowerbound=1136102.776127, norm of subgrad 40.561223 stepsize= 1.000000
+dualbound = 2309508.620555, lowerbound=1136004.620555, norm of subgrad 1066.555962 dualbound = 2309508.620555, lowerbound=1136004.620555, norm of subgrad 41.986241 stepsize= 1.000000
+dualbound = 2309702.051726, lowerbound=1138869.051726, norm of subgrad 1067.904514 dualbound = 2309702.051726, lowerbound=1138869.051726, norm of subgrad 41.766388 stepsize= 1.000000
+dualbound = 2309909.314234, lowerbound=1134342.314234, norm of subgrad 1065.768415 dualbound = 2309909.314234, lowerbound=1134342.314234, norm of subgrad 41.560348 stepsize= 1.000000
+dualbound = 2310145.200728, lowerbound=1137239.200728, norm of subgrad 1067.092405 dualbound = 2310145.200728, lowerbound=1137239.200728, norm of subgrad 41.023000 stepsize= 1.000000
+dualbound = 2310372.831569, lowerbound=1138244.831569, norm of subgrad 1067.561629 dualbound = 2310372.831569, lowerbound=1138244.831569, norm of subgrad 40.873351 stepsize= 1.000000
+dualbound = 2310558.558991, lowerbound=1134287.558991, norm of subgrad 1065.718330 dualbound = 2310558.558991, lowerbound=1134287.558991, norm of subgrad 40.666048 stepsize= 1.000000
+dualbound = 2310794.404951, lowerbound=1137875.404951, norm of subgrad 1067.403113 dualbound = 2310794.404951, lowerbound=1137875.404951, norm of subgrad 41.350284 stepsize= 1.000000
+dualbound = 2310978.449693, lowerbound=1137065.449693, norm of subgrad 1067.036293 dualbound = 2310978.449693, lowerbound=1137065.449693, norm of subgrad 41.049296 stepsize= 1.000000
+dualbound = 2311205.508057, lowerbound=1135623.508057, norm of subgrad 1066.334145 dualbound = 2311205.508057, lowerbound=1135623.508057, norm of subgrad 40.890810 stepsize= 1.000000
+dualbound = 2311421.603343, lowerbound=1133951.603343, norm of subgrad 1065.592137 dualbound = 2311421.603343, lowerbound=1133951.603343, norm of subgrad 41.846090 stepsize= 1.000000
+dualbound = 2311611.243653, lowerbound=1135151.243653, norm of subgrad 1066.137535 dualbound = 2311611.243653, lowerbound=1135151.243653, norm of subgrad 41.080900 stepsize= 1.000000
+dualbound = 2311857.195162, lowerbound=1137640.195162, norm of subgrad 1067.265288 dualbound = 2311857.195162, lowerbound=1137640.195162, norm of subgrad 40.754773 stepsize= 1.000000
+dualbound = 2312078.336880, lowerbound=1137778.336880, norm of subgrad 1067.362327 dualbound = 2312078.336880, lowerbound=1137778.336880, norm of subgrad 41.293362 stepsize= 1.000000
+dualbound = 2312281.718359, lowerbound=1139054.718359, norm of subgrad 1067.968032 dualbound = 2312281.718359, lowerbound=1139054.718359, norm of subgrad 41.284155 stepsize= 1.000000
+dualbound = 2312488.742921, lowerbound=1134224.742921, norm of subgrad 1065.729676 dualbound = 2312488.742921, lowerbound=1134224.742921, norm of subgrad 41.976476 stepsize= 1.000000
+dualbound = 2312699.412661, lowerbound=1138767.412661, norm of subgrad 1067.831172 dualbound = 2312699.412661, lowerbound=1138767.412661, norm of subgrad 41.311860 stepsize= 1.000000
+dualbound = 2312936.846982, lowerbound=1135953.846982, norm of subgrad 1066.483402 dualbound = 2312936.846982, lowerbound=1135953.846982, norm of subgrad 40.870947 stepsize= 1.000000
+dualbound = 2313160.442895, lowerbound=1138897.442895, norm of subgrad 1067.872859 dualbound = 2313160.442895, lowerbound=1138897.442895, norm of subgrad 40.970671 stepsize= 1.000000
+dualbound = 2313335.453305, lowerbound=1136083.453305, norm of subgrad 1066.592449 dualbound = 2313335.453305, lowerbound=1136083.453305, norm of subgrad 41.364362 stepsize= 1.000000
+dualbound = 2313559.564160, lowerbound=1138450.564160, norm of subgrad 1067.698723 dualbound = 2313559.564160, lowerbound=1138450.564160, norm of subgrad 41.882107 stepsize= 1.000000
+dualbound = 2313771.011301, lowerbound=1136352.011301, norm of subgrad 1066.702401 dualbound = 2313771.011301, lowerbound=1136352.011301, norm of subgrad 41.393806 stepsize= 1.000000
+dualbound = 2313983.300107, lowerbound=1138762.300107, norm of subgrad 1067.833461 dualbound = 2313983.300107, lowerbound=1138762.300107, norm of subgrad 41.452247 stepsize= 1.000000
+dualbound = 2314232.076541, lowerbound=1134258.076541, norm of subgrad 1065.695114 dualbound = 2314232.076541, lowerbound=1134258.076541, norm of subgrad 41.191946 stepsize= 1.000000
+dualbound = 2314430.432249, lowerbound=1136984.432249, norm of subgrad 1066.999265 dualbound = 2314430.432249, lowerbound=1136984.432249, norm of subgrad 41.247493 stepsize= 1.000000
+dualbound = 2314639.407993, lowerbound=1137330.407993, norm of subgrad 1067.135140 dualbound = 2314639.407993, lowerbound=1137330.407993, norm of subgrad 40.693682 stepsize= 1.000000
+dualbound = 2314869.324982, lowerbound=1137260.324982, norm of subgrad 1067.108394 dualbound = 2314869.324982, lowerbound=1137260.324982, norm of subgrad 41.108600 stepsize= 1.000000
+dualbound = 2315063.550341, lowerbound=1135725.550341, norm of subgrad 1066.427940 dualbound = 2315063.550341, lowerbound=1135725.550341, norm of subgrad 41.680035 stepsize= 1.000000
+dualbound = 2315277.474946, lowerbound=1140517.474946, norm of subgrad 1068.642351 dualbound = 2315277.474946, lowerbound=1140517.474946, norm of subgrad 41.145165 stepsize= 1.000000
+dualbound = 2315497.767752, lowerbound=1134595.767752, norm of subgrad 1065.865736 dualbound = 2315497.767752, lowerbound=1134595.767752, norm of subgrad 41.161788 stepsize= 1.000000
+dualbound = 2315728.357864, lowerbound=1139930.357864, norm of subgrad 1068.349361 dualbound = 2315728.357864, lowerbound=1139930.357864, norm of subgrad 40.872853 stepsize= 1.000000
+dualbound = 2315939.924905, lowerbound=1134841.924905, norm of subgrad 1065.958688 dualbound = 2315939.924905, lowerbound=1134841.924905, norm of subgrad 40.466863 stepsize= 1.000000
+dualbound = 2316158.606535, lowerbound=1138396.606535, norm of subgrad 1067.631306 dualbound = 2316158.606535, lowerbound=1138396.606535, norm of subgrad 40.726915 stepsize= 1.000000
+dualbound = 2316356.227207, lowerbound=1133049.227207, norm of subgrad 1065.154086 dualbound = 2316356.227207, lowerbound=1133049.227207, norm of subgrad 41.250705 stepsize= 1.000000
+dualbound = 2316556.844702, lowerbound=1140451.844702, norm of subgrad 1068.621001 dualbound = 2316556.844702, lowerbound=1140451.844702, norm of subgrad 41.226417 stepsize= 1.000000
+dualbound = 2316774.564397, lowerbound=1136625.564397, norm of subgrad 1066.835303 dualbound = 2316774.564397, lowerbound=1136625.564397, norm of subgrad 41.589899 stepsize= 1.000000
+dualbound = 2316973.590610, lowerbound=1134213.590610, norm of subgrad 1065.711777 dualbound = 2316973.590610, lowerbound=1134213.590610, norm of subgrad 41.557505 stepsize= 1.000000
+dualbound = 2317202.572052, lowerbound=1139304.572052, norm of subgrad 1068.084534 dualbound = 2317202.572052, lowerbound=1139304.572052, norm of subgrad 41.581023 stepsize= 1.000000
+dualbound = 2317403.248386, lowerbound=1142532.248386, norm of subgrad 1069.577135 dualbound = 2317403.248386, lowerbound=1142532.248386, norm of subgrad 40.788189 stepsize= 1.000000
+dualbound = 2317634.251935, lowerbound=1132340.251935, norm of subgrad 1064.801508 dualbound = 2317634.251935, lowerbound=1132340.251935, norm of subgrad 41.146124 stepsize= 1.000000
+dualbound = 2317850.738410, lowerbound=1140606.738410, norm of subgrad 1068.674758 dualbound = 2317850.738410, lowerbound=1140606.738410, norm of subgrad 40.932707 stepsize= 1.000000
+dualbound = 2318062.890769, lowerbound=1134420.890769, norm of subgrad 1065.781352 dualbound = 2318062.890769, lowerbound=1134420.890769, norm of subgrad 41.001858 stepsize= 1.000000
+dualbound = 2318279.717627, lowerbound=1138261.717627, norm of subgrad 1067.591082 dualbound = 2318279.717627, lowerbound=1138261.717627, norm of subgrad 41.301657 stepsize= 1.000000
+dualbound = 2318449.549474, lowerbound=1136946.549474, norm of subgrad 1067.004475 dualbound = 2318449.549474, lowerbound=1136946.549474, norm of subgrad 41.494962 stepsize= 1.000000
+dualbound = 2318713.596215, lowerbound=1134972.596215, norm of subgrad 1066.023732 dualbound = 2318713.596215, lowerbound=1134972.596215, norm of subgrad 41.207363 stepsize= 1.000000
+dualbound = 2318926.169944, lowerbound=1140235.169944, norm of subgrad 1068.481245 dualbound = 2318926.169944, lowerbound=1140235.169944, norm of subgrad 40.367979 stepsize= 1.000000
+dualbound = 2319118.741742, lowerbound=1137899.741742, norm of subgrad 1067.424818 dualbound = 2319118.741742, lowerbound=1137899.741742, norm of subgrad 41.092235 stepsize= 1.000000
+dualbound = 2319320.024518, lowerbound=1132350.024518, norm of subgrad 1064.821593 dualbound = 2319320.024518, lowerbound=1132350.024518, norm of subgrad 41.185954 stepsize= 1.000000
+dualbound = 2319558.492976, lowerbound=1143315.492976, norm of subgrad 1069.946491 dualbound = 2319558.492976, lowerbound=1143315.492976, norm of subgrad 41.333624 stepsize= 1.000000
+dualbound = 2319769.160385, lowerbound=1137031.160385, norm of subgrad 1067.020225 dualbound = 2319769.160385, lowerbound=1137031.160385, norm of subgrad 41.372302 stepsize= 1.000000
+dualbound = 2319985.862500, lowerbound=1135289.862500, norm of subgrad 1066.183785 dualbound = 2319985.862500, lowerbound=1135289.862500, norm of subgrad 40.923124 stepsize= 1.000000
+dualbound = 2320206.126219, lowerbound=1135908.126219, norm of subgrad 1066.460091 dualbound = 2320206.126219, lowerbound=1135908.126219, norm of subgrad 40.611128 stepsize= 1.000000
+dualbound = 2320417.807063, lowerbound=1137259.807063, norm of subgrad 1067.118928 dualbound = 2320417.807063, lowerbound=1137259.807063, norm of subgrad 41.166501 stepsize= 1.000000
+dualbound = 2320628.706007, lowerbound=1136797.706007, norm of subgrad 1066.926289 dualbound = 2320628.706007, lowerbound=1136797.706007, norm of subgrad 41.771988 stepsize= 1.000000
+dualbound = 2320815.259015, lowerbound=1138637.259015, norm of subgrad 1067.772569 dualbound = 2320815.259015, lowerbound=1138637.259015, norm of subgrad 41.079837 stepsize= 1.000000
+dualbound = 2321053.387760, lowerbound=1138748.387760, norm of subgrad 1067.817582 dualbound = 2321053.387760, lowerbound=1138748.387760, norm of subgrad 41.522629 stepsize= 1.000000
+dualbound = 2321271.521034, lowerbound=1139157.521034, norm of subgrad 1068.019907 dualbound = 2321271.521034, lowerbound=1139157.521034, norm of subgrad 41.558793 stepsize= 1.000000
+dualbound = 2321462.721049, lowerbound=1133842.721049, norm of subgrad 1065.526499 dualbound = 2321462.721049, lowerbound=1133842.721049, norm of subgrad 41.172807 stepsize= 1.000000
+dualbound = 2321674.608214, lowerbound=1142528.608214, norm of subgrad 1069.597872 dualbound = 2321674.608214, lowerbound=1142528.608214, norm of subgrad 41.507676 stepsize= 1.000000
+dualbound = 2321902.310263, lowerbound=1133696.310263, norm of subgrad 1065.479850 dualbound = 2321902.310263, lowerbound=1133696.310263, norm of subgrad 42.174661 stepsize= 1.000000
+dualbound = 2322114.598795, lowerbound=1141683.598795, norm of subgrad 1069.179872 dualbound = 2322114.598795, lowerbound=1141683.598795, norm of subgrad 40.918071 stepsize= 1.000000
+dualbound = 2322371.821819, lowerbound=1134969.821819, norm of subgrad 1066.015864 dualbound = 2322371.821819, lowerbound=1134969.821819, norm of subgrad 40.953913 stepsize= 1.000000
+dualbound = 2322577.859897, lowerbound=1136235.859897, norm of subgrad 1066.628736 dualbound = 2322577.859897, lowerbound=1136235.859897, norm of subgrad 40.829378 stepsize= 1.000000
+dualbound = 2322755.772988, lowerbound=1140289.772988, norm of subgrad 1068.525981 dualbound = 2322755.772988, lowerbound=1140289.772988, norm of subgrad 40.446422 stepsize= 1.000000
+dualbound = 2322994.415505, lowerbound=1135946.415505, norm of subgrad 1066.505703 dualbound = 2322994.415505, lowerbound=1135946.415505, norm of subgrad 41.552888 stepsize= 1.000000
+dualbound = 2323166.241245, lowerbound=1135678.241245, norm of subgrad 1066.425919 dualbound = 2323166.241245, lowerbound=1135678.241245, norm of subgrad 41.926432 stepsize= 1.000000
+dualbound = 2323386.649462, lowerbound=1139320.649462, norm of subgrad 1068.113126 dualbound = 2323386.649462, lowerbound=1139320.649462, norm of subgrad 42.016761 stepsize= 1.000000
+dualbound = 2323584.211061, lowerbound=1138204.211061, norm of subgrad 1067.578199 dualbound = 2323584.211061, lowerbound=1138204.211061, norm of subgrad 41.431408 stepsize= 1.000000
+dualbound = 2323853.184569, lowerbound=1135927.184569, norm of subgrad 1066.469495 dualbound = 2323853.184569, lowerbound=1135927.184569, norm of subgrad 41.218606 stepsize= 1.000000
+dualbound = 2324033.411799, lowerbound=1141230.411799, norm of subgrad 1068.971661 dualbound = 2324033.411799, lowerbound=1141230.411799, norm of subgrad 40.622989 stepsize= 1.000000
+dualbound = 2324266.232989, lowerbound=1137341.232989, norm of subgrad 1067.155206 dualbound = 2324266.232989, lowerbound=1137341.232989, norm of subgrad 41.374161 stepsize= 1.000000
+dualbound = 2324468.486221, lowerbound=1140164.486221, norm of subgrad 1068.493559 dualbound = 2324468.486221, lowerbound=1140164.486221, norm of subgrad 41.427687 stepsize= 1.000000
+dualbound = 2324687.799169, lowerbound=1134821.799169, norm of subgrad 1065.980206 dualbound = 2324687.799169, lowerbound=1134821.799169, norm of subgrad 41.368018 stepsize= 1.000000
+dualbound = 2324905.242614, lowerbound=1136342.242614, norm of subgrad 1066.679072 dualbound = 2324905.242614, lowerbound=1136342.242614, norm of subgrad 40.981013 stepsize= 1.000000
+dualbound = 2325106.953950, lowerbound=1139686.953950, norm of subgrad 1068.259778 dualbound = 2325106.953950, lowerbound=1139686.953950, norm of subgrad 41.154724 stepsize= 1.000000
+dualbound = 2325330.707302, lowerbound=1136484.707302, norm of subgrad 1066.757567 dualbound = 2325330.707302, lowerbound=1136484.707302, norm of subgrad 41.361254 stepsize= 1.000000
+dualbound = 2325533.742558, lowerbound=1135661.742558, norm of subgrad 1066.356761 dualbound = 2325533.742558, lowerbound=1135661.742558, norm of subgrad 40.718979 stepsize= 1.000000
+dualbound = 2325772.602955, lowerbound=1141353.602955, norm of subgrad 1069.018523 dualbound = 2325772.602955, lowerbound=1141353.602955, norm of subgrad 41.059230 stepsize= 1.000000
+dualbound = 2325982.787525, lowerbound=1138685.787525, norm of subgrad 1067.769539 dualbound = 2325982.787525, lowerbound=1138685.787525, norm of subgrad 40.696248 stepsize= 1.000000
+dualbound = 2326193.010445, lowerbound=1138927.010445, norm of subgrad 1067.901686 dualbound = 2326193.010445, lowerbound=1138927.010445, norm of subgrad 41.197365 stepsize= 1.000000
+dualbound = 2326396.650140, lowerbound=1133417.650140, norm of subgrad 1065.316221 dualbound = 2326396.650140, lowerbound=1133417.650140, norm of subgrad 41.044363 stepsize= 1.000000
+dualbound = 2326614.217921, lowerbound=1142825.217921, norm of subgrad 1069.704734 dualbound = 2326614.217921, lowerbound=1142825.217921, norm of subgrad 40.750065 stepsize= 1.000000
+dualbound = 2326820.109328, lowerbound=1136336.109328, norm of subgrad 1066.702446 dualbound = 2326820.109328, lowerbound=1136336.109328, norm of subgrad 41.519771 stepsize= 1.000000
+dualbound = 2327003.969931, lowerbound=1140543.969931, norm of subgrad 1068.670656 dualbound = 2327003.969931, lowerbound=1140543.969931, norm of subgrad 41.192968 stepsize= 1.000000
+dualbound = 2327220.988172, lowerbound=1136887.988172, norm of subgrad 1066.936731 dualbound = 2327220.988172, lowerbound=1136887.988172, norm of subgrad 41.024605 stepsize= 1.000000
+dualbound = 2327480.348619, lowerbound=1137254.348619, norm of subgrad 1067.079354 dualbound = 2327480.348619, lowerbound=1137254.348619, norm of subgrad 40.784316 stepsize= 1.000000
+dualbound = 2327674.280136, lowerbound=1138456.280136, norm of subgrad 1067.676580 dualbound = 2327674.280136, lowerbound=1138456.280136, norm of subgrad 40.877029 stepsize= 1.000000
+dualbound = 2327863.688141, lowerbound=1137824.688141, norm of subgrad 1067.385913 dualbound = 2327863.688141, lowerbound=1137824.688141, norm of subgrad 40.956172 stepsize= 1.000000
+dualbound = 2328098.684010, lowerbound=1135318.684010, norm of subgrad 1066.184639 dualbound = 2328098.684010, lowerbound=1135318.684010, norm of subgrad 40.816613 stepsize= 1.000000
+dualbound = 2328333.706565, lowerbound=1137663.706565, norm of subgrad 1067.285204 dualbound = 2328333.706565, lowerbound=1137663.706565, norm of subgrad 40.853672 stepsize= 1.000000
+dualbound = 2328511.577111, lowerbound=1143699.577111, norm of subgrad 1070.164276 dualbound = 2328511.577111, lowerbound=1143699.577111, norm of subgrad 41.591712 stepsize= 1.000000
+dualbound = 2328714.418738, lowerbound=1137962.418738, norm of subgrad 1067.486027 dualbound = 2328714.418738, lowerbound=1137962.418738, norm of subgrad 42.033815 stepsize= 1.000000
+dualbound = 2328917.924897, lowerbound=1137759.924897, norm of subgrad 1067.372440 dualbound = 2328917.924897, lowerbound=1137759.924897, norm of subgrad 41.563279 stepsize= 1.000000
+dualbound = 2329158.295583, lowerbound=1138441.295583, norm of subgrad 1067.683144 dualbound = 2329158.295583, lowerbound=1138441.295583, norm of subgrad 41.789600 stepsize= 1.000000
+dualbound = 2329363.960268, lowerbound=1139064.960268, norm of subgrad 1067.986873 dualbound = 2329363.960268, lowerbound=1139064.960268, norm of subgrad 41.673309 stepsize= 1.000000
+dualbound = 2329599.829458, lowerbound=1137436.829458, norm of subgrad 1067.158296 dualbound = 2329599.829458, lowerbound=1137436.829458, norm of subgrad 40.322068 stepsize= 1.000000
+dualbound = 2329822.598194, lowerbound=1137555.598194, norm of subgrad 1067.247206 dualbound = 2329822.598194, lowerbound=1137555.598194, norm of subgrad 41.033751 stepsize= 1.000000
+dualbound = 2329994.255967, lowerbound=1137966.255967, norm of subgrad 1067.445200 dualbound = 2329994.255967, lowerbound=1137966.255967, norm of subgrad 40.554380 stepsize= 1.000000
+dualbound = 2330230.152325, lowerbound=1137114.152325, norm of subgrad 1067.027719 dualbound = 2330230.152325, lowerbound=1137114.152325, norm of subgrad 40.864365 stepsize= 1.000000
+dualbound = 2330427.848548, lowerbound=1143545.848548, norm of subgrad 1070.077497 dualbound = 2330427.848548, lowerbound=1143545.848548, norm of subgrad 41.445099 stepsize= 1.000000
+dualbound = 2330641.919840, lowerbound=1134311.919840, norm of subgrad 1065.733982 dualbound = 2330641.919840, lowerbound=1134311.919840, norm of subgrad 41.122637 stepsize= 1.000000
+dualbound = 2330864.647191, lowerbound=1137726.647191, norm of subgrad 1067.341392 dualbound = 2330864.647191, lowerbound=1137726.647191, norm of subgrad 41.397190 stepsize= 1.000000
+dualbound = 2331065.935109, lowerbound=1141505.935109, norm of subgrad 1069.093043 dualbound = 2331065.935109, lowerbound=1141505.935109, norm of subgrad 40.685230 stepsize= 1.000000
+dualbound = 2331303.060349, lowerbound=1140221.060349, norm of subgrad 1068.481661 dualbound = 2331303.060349, lowerbound=1140221.060349, norm of subgrad 40.854929 stepsize= 1.000000
+dualbound = 2331519.909856, lowerbound=1132746.909856, norm of subgrad 1064.980709 dualbound = 2331519.909856, lowerbound=1132746.909856, norm of subgrad 40.667549 stepsize= 1.000000
+dualbound = 2331735.202058, lowerbound=1140512.202058, norm of subgrad 1068.669360 dualbound = 2331735.202058, lowerbound=1140512.202058, norm of subgrad 41.920069 stepsize= 1.000000
+dualbound = 2331902.736114, lowerbound=1137473.736114, norm of subgrad 1067.275848 dualbound = 2331902.736114, lowerbound=1137473.736114, norm of subgrad 42.089596 stepsize= 1.000000
+dualbound = 2332099.301365, lowerbound=1137968.301365, norm of subgrad 1067.521570 dualbound = 2332099.301365, lowerbound=1137968.301365, norm of subgrad 42.785105 stepsize= 1.000000
+dualbound = 2332325.737761, lowerbound=1134853.737761, norm of subgrad 1066.001284 dualbound = 2332325.737761, lowerbound=1134853.737761, norm of subgrad 41.610532 stepsize= 1.000000
+dualbound = 2332552.616614, lowerbound=1139670.616614, norm of subgrad 1068.249323 dualbound = 2332552.616614, lowerbound=1139670.616614, norm of subgrad 41.386941 stepsize= 1.000000
+dualbound = 2332790.988617, lowerbound=1135850.988617, norm of subgrad 1066.461433 dualbound = 2332790.988617, lowerbound=1135850.988617, norm of subgrad 41.561665 stepsize= 1.000000
+dualbound = 2332999.230417, lowerbound=1142952.230417, norm of subgrad 1069.791209 dualbound = 2332999.230417, lowerbound=1142952.230417, norm of subgrad 41.342978 stepsize= 1.000000
+dualbound = 2333201.117311, lowerbound=1138723.117311, norm of subgrad 1067.801535 dualbound = 2333201.117311, lowerbound=1138723.117311, norm of subgrad 40.974222 stepsize= 1.000000
+dualbound = 2333412.481735, lowerbound=1136456.481735, norm of subgrad 1066.780428 dualbound = 2333412.481735, lowerbound=1136456.481735, norm of subgrad 42.135074 stepsize= 1.000000
+dualbound = 2333612.154160, lowerbound=1140392.154160, norm of subgrad 1068.559851 dualbound = 2333612.154160, lowerbound=1140392.154160, norm of subgrad 40.344422 stepsize= 1.000000
+dualbound = 2333873.539682, lowerbound=1135210.539682, norm of subgrad 1066.125949 dualbound = 2333873.539682, lowerbound=1135210.539682, norm of subgrad 40.931473 stepsize= 1.000000
+dualbound = 2334059.813865, lowerbound=1141338.813865, norm of subgrad 1069.009735 dualbound = 2334059.813865, lowerbound=1141338.813865, norm of subgrad 40.364269 stepsize= 1.000000
+dualbound = 2334265.976568, lowerbound=1139443.976568, norm of subgrad 1068.142770 dualbound = 2334265.976568, lowerbound=1139443.976568, norm of subgrad 41.123749 stepsize= 1.000000
+dualbound = 2334474.538574, lowerbound=1136063.538574, norm of subgrad 1066.582176 dualbound = 2334474.538574, lowerbound=1136063.538574, norm of subgrad 41.744006 stepsize= 1.000000
+dualbound = 2334682.577658, lowerbound=1140412.577658, norm of subgrad 1068.597949 dualbound = 2334682.577658, lowerbound=1140412.577658, norm of subgrad 41.195134 stepsize= 1.000000
+dualbound = 2334917.356767, lowerbound=1136947.356767, norm of subgrad 1066.975331 dualbound = 2334917.356767, lowerbound=1136947.356767, norm of subgrad 41.518419 stepsize= 1.000000
+dualbound = 2335100.255081, lowerbound=1138060.255081, norm of subgrad 1067.540283 dualbound = 2335100.255081, lowerbound=1138060.255081, norm of subgrad 42.010693 stepsize= 1.000000
+dualbound = 2335337.336671, lowerbound=1138788.336671, norm of subgrad 1067.844716 dualbound = 2335337.336671, lowerbound=1138788.336671, norm of subgrad 41.726270 stepsize= 1.000000
+dualbound = 2335550.927746, lowerbound=1133516.927746, norm of subgrad 1065.376425 dualbound = 2335550.927746, lowerbound=1133516.927746, norm of subgrad 41.516154 stepsize= 1.000000
+dualbound = 2335768.354822, lowerbound=1142014.354822, norm of subgrad 1069.341552 dualbound = 2335768.354822, lowerbound=1142014.354822, norm of subgrad 41.163419 stepsize= 1.000000
+dualbound = 2335966.514679, lowerbound=1134406.514679, norm of subgrad 1065.776484 dualbound = 2335966.514679, lowerbound=1134406.514679, norm of subgrad 40.879822 stepsize= 1.000000
+dualbound = 2336189.895415, lowerbound=1140769.895415, norm of subgrad 1068.778226 dualbound = 2336189.895415, lowerbound=1140769.895415, norm of subgrad 41.717871 stepsize= 1.000000
+dualbound = 2336395.857037, lowerbound=1137782.857037, norm of subgrad 1067.350391 dualbound = 2336395.857037, lowerbound=1137782.857037, norm of subgrad 40.742627 stepsize= 1.000000
+dualbound = 2336614.170881, lowerbound=1139033.170881, norm of subgrad 1067.950453 dualbound = 2336614.170881, lowerbound=1139033.170881, norm of subgrad 41.271223 stepsize= 1.000000
+dualbound = 2336819.273615, lowerbound=1139547.273615, norm of subgrad 1068.204228 dualbound = 2336819.273615, lowerbound=1139547.273615, norm of subgrad 41.450003 stepsize= 1.000000
+dualbound = 2337021.691497, lowerbound=1139398.691497, norm of subgrad 1068.144509 dualbound = 2337021.691497, lowerbound=1139398.691497, norm of subgrad 41.670348 stepsize= 1.000000
+dualbound = 2337232.022751, lowerbound=1135976.022751, norm of subgrad 1066.524272 dualbound = 2337232.022751, lowerbound=1135976.022751, norm of subgrad 41.331964 stepsize= 1.000000
+dualbound = 2337465.776515, lowerbound=1143779.776515, norm of subgrad 1070.161098 dualbound = 2337465.776515, lowerbound=1143779.776515, norm of subgrad 41.215941 stepsize= 1.000000
+dualbound = 2337684.944741, lowerbound=1139547.944741, norm of subgrad 1068.180202 dualbound = 2337684.944741, lowerbound=1139547.944741, norm of subgrad 40.989855 stepsize= 1.000000
+dualbound = 2337876.637882, lowerbound=1138046.637882, norm of subgrad 1067.515638 dualbound = 2337876.637882, lowerbound=1138046.637882, norm of subgrad 41.649648 stepsize= 1.000000
+dualbound = 2338069.336984, lowerbound=1139517.336984, norm of subgrad 1068.184599 dualbound = 2338069.336984, lowerbound=1139517.336984, norm of subgrad 41.154576 stepsize= 1.000000
+dualbound = 2338326.306619, lowerbound=1139024.306619, norm of subgrad 1067.954731 dualbound = 2338326.306619, lowerbound=1139024.306619, norm of subgrad 41.951992 stepsize= 1.000000
+dualbound = 2338504.160696, lowerbound=1136977.160696, norm of subgrad 1067.006636 dualbound = 2338504.160696, lowerbound=1136977.160696, norm of subgrad 41.277767 stepsize= 1.000000
+dualbound = 2338739.844395, lowerbound=1139603.844395, norm of subgrad 1068.217602 dualbound = 2338739.844395, lowerbound=1139603.844395, norm of subgrad 41.481125 stepsize= 1.000000
+dualbound = 2338945.942481, lowerbound=1135012.942481, norm of subgrad 1066.036558 dualbound = 2338945.942481, lowerbound=1135012.942481, norm of subgrad 40.337304 stepsize= 1.000000
+dualbound = 2339179.505549, lowerbound=1144565.505549, norm of subgrad 1070.552897 dualbound = 2339179.505549, lowerbound=1144565.505549, norm of subgrad 41.851679 stepsize= 1.000000
+dualbound = 2339354.137347, lowerbound=1134709.137347, norm of subgrad 1065.943309 dualbound = 2339354.137347, lowerbound=1134709.137347, norm of subgrad 41.238717 stepsize= 1.000000
+dualbound = 2339566.064254, lowerbound=1142505.064254, norm of subgrad 1069.586866 dualbound = 2339566.064254, lowerbound=1142505.064254, norm of subgrad 41.508155 stepsize= 1.000000
+dualbound = 2339779.412990, lowerbound=1138420.412990, norm of subgrad 1067.663998 dualbound = 2339779.412990, lowerbound=1138420.412990, norm of subgrad 41.223158 stepsize= 1.000000
+dualbound = 2339993.345521, lowerbound=1138991.345521, norm of subgrad 1067.944917 dualbound = 2339993.345521, lowerbound=1138991.345521, norm of subgrad 41.580434 stepsize= 1.000000
+dualbound = 2340216.480057, lowerbound=1139932.480057, norm of subgrad 1068.378435 dualbound = 2340216.480057, lowerbound=1139932.480057, norm of subgrad 41.510656 stepsize= 1.000000
+dualbound = 2340444.460467, lowerbound=1139511.460467, norm of subgrad 1068.162188 dualbound = 2340444.460467, lowerbound=1139511.460467, norm of subgrad 41.072867 stepsize= 1.000000
+dualbound = 2340630.971586, lowerbound=1139672.971586, norm of subgrad 1068.257914 dualbound = 2340630.971586, lowerbound=1139672.971586, norm of subgrad 41.091497 stepsize= 1.000000
+dualbound = 2340872.772247, lowerbound=1139269.772247, norm of subgrad 1068.024238 dualbound = 2340872.772247, lowerbound=1139269.772247, norm of subgrad 40.593111 stepsize= 1.000000
+dualbound = 2341094.248975, lowerbound=1138781.248975, norm of subgrad 1067.821263 dualbound = 2341094.248975, lowerbound=1138781.248975, norm of subgrad 41.018005 stepsize= 1.000000
+dualbound = 2341273.776562, lowerbound=1139214.776562, norm of subgrad 1068.069650 dualbound = 2341273.776562, lowerbound=1139214.776562, norm of subgrad 41.683661 stepsize= 1.000000
+dualbound = 2341474.914087, lowerbound=1142541.914087, norm of subgrad 1069.603157 dualbound = 2341474.914087, lowerbound=1142541.914087, norm of subgrad 41.353809 stepsize= 1.000000
+dualbound = 2341730.598021, lowerbound=1140037.598021, norm of subgrad 1068.390190 dualbound = 2341730.598021, lowerbound=1140037.598021, norm of subgrad 40.935119 stepsize= 1.000000
+dualbound = 2341929.718056, lowerbound=1140599.718056, norm of subgrad 1068.698142 dualbound = 2341929.718056, lowerbound=1140599.718056, norm of subgrad 41.414008 stepsize= 1.000000
+dualbound = 2342131.256208, lowerbound=1139325.256208, norm of subgrad 1068.095153 dualbound = 2342131.256208, lowerbound=1139325.256208, norm of subgrad 41.273940 stepsize= 1.000000
+dualbound = 2342317.956836, lowerbound=1138276.956836, norm of subgrad 1067.638495 dualbound = 2342317.956836, lowerbound=1138276.956836, norm of subgrad 41.972618 stepsize= 1.000000
+dualbound = 2342551.721591, lowerbound=1142707.721591, norm of subgrad 1069.704035 dualbound = 2342551.721591, lowerbound=1142707.721591, norm of subgrad 42.341053 stepsize= 1.000000
+dualbound = 2342728.691071, lowerbound=1134616.691071, norm of subgrad 1065.875551 dualbound = 2342728.691071, lowerbound=1134616.691071, norm of subgrad 40.632124 stepsize= 1.000000
+dualbound = 2343005.812475, lowerbound=1142691.812475, norm of subgrad 1069.629287 dualbound = 2343005.812475, lowerbound=1142691.812475, norm of subgrad 41.135403 stepsize= 1.000000
+dualbound = 2343166.160624, lowerbound=1135379.160624, norm of subgrad 1066.261300 dualbound = 2343166.160624, lowerbound=1135379.160624, norm of subgrad 41.162460 stepsize= 1.000000
+dualbound = 2343391.289376, lowerbound=1142741.289376, norm of subgrad 1069.668776 dualbound = 2343391.289376, lowerbound=1142741.289376, norm of subgrad 40.928337 stepsize= 1.000000
+dualbound = 2343624.634924, lowerbound=1136522.634924, norm of subgrad 1066.785656 dualbound = 2343624.634924, lowerbound=1136522.634924, norm of subgrad 41.741413 stepsize= 1.000000
+dualbound = 2343814.996946, lowerbound=1139037.996946, norm of subgrad 1067.955522 dualbound = 2343814.996946, lowerbound=1139037.996946, norm of subgrad 41.004415 stepsize= 1.000000
+dualbound = 2344035.851944, lowerbound=1142353.851944, norm of subgrad 1069.510567 dualbound = 2344035.851944, lowerbound=1142353.851944, norm of subgrad 41.471135 stepsize= 1.000000
+dualbound = 2344252.268471, lowerbound=1138727.268471, norm of subgrad 1067.768827 dualbound = 2344252.268471, lowerbound=1138727.268471, norm of subgrad 40.241975 stepsize= 1.000000
+dualbound = 2344477.483372, lowerbound=1139892.483372, norm of subgrad 1068.348016 dualbound = 2344477.483372, lowerbound=1139892.483372, norm of subgrad 41.233662 stepsize= 1.000000
+dualbound = 2344673.554647, lowerbound=1139614.554647, norm of subgrad 1068.233380 dualbound = 2344673.554647, lowerbound=1139614.554647, norm of subgrad 41.280398 stepsize= 1.000000
+dualbound = 2344888.543897, lowerbound=1141244.543897, norm of subgrad 1069.009141 dualbound = 2344888.543897, lowerbound=1141244.543897, norm of subgrad 41.844823 stepsize= 1.000000
+dualbound = 2345081.066126, lowerbound=1142173.066126, norm of subgrad 1069.424175 dualbound = 2345081.066126, lowerbound=1142173.066126, norm of subgrad 41.079462 stepsize= 1.000000
+dualbound = 2345315.744454, lowerbound=1139042.744454, norm of subgrad 1067.962427 dualbound = 2345315.744454, lowerbound=1139042.744454, norm of subgrad 41.661473 stepsize= 1.000000
+dualbound = 2345536.148678, lowerbound=1144759.148678, norm of subgrad 1070.603638 dualbound = 2345536.148678, lowerbound=1144759.148678, norm of subgrad 40.662074 stepsize= 1.000000
+dualbound = 2345721.653824, lowerbound=1135547.653824, norm of subgrad 1066.316395 dualbound = 2345721.653824, lowerbound=1135547.653824, norm of subgrad 40.847340 stepsize= 1.000000
+dualbound = 2345931.749207, lowerbound=1140933.749207, norm of subgrad 1068.838505 dualbound = 2345931.749207, lowerbound=1140933.749207, norm of subgrad 41.135087 stepsize= 1.000000
+dualbound = 2346143.717605, lowerbound=1140656.717605, norm of subgrad 1068.732295 dualbound = 2346143.717605, lowerbound=1140656.717605, norm of subgrad 41.760848 stepsize= 1.000000
+dualbound = 2346338.968110, lowerbound=1140805.968110, norm of subgrad 1068.789487 dualbound = 2346338.968110, lowerbound=1140805.968110, norm of subgrad 41.234094 stepsize= 1.000000
+dualbound = 2346559.815567, lowerbound=1135994.815567, norm of subgrad 1066.571524 dualbound = 2346559.815567, lowerbound=1135994.815567, norm of subgrad 42.436393 stepsize= 1.000000
+dualbound = 2346745.674864, lowerbound=1145972.674864, norm of subgrad 1071.236050 dualbound = 2346745.674864, lowerbound=1145972.674864, norm of subgrad 41.950677 stepsize= 1.000000
+dualbound = 2346968.626273, lowerbound=1134969.626273, norm of subgrad 1066.029374 dualbound = 2346968.626273, lowerbound=1134969.626273, norm of subgrad 40.889502 stepsize= 1.000000
+dualbound = 2347183.671626, lowerbound=1142926.671626, norm of subgrad 1069.781600 dualbound = 2347183.671626, lowerbound=1142926.671626, norm of subgrad 41.485484 stepsize= 1.000000
+dualbound = 2347400.476769, lowerbound=1141500.476769, norm of subgrad 1069.117616 dualbound = 2347400.476769, lowerbound=1141500.476769, norm of subgrad 41.578903 stepsize= 1.000000
+dualbound = 2347602.500319, lowerbound=1137671.500319, norm of subgrad 1067.322116 dualbound = 2347602.500319, lowerbound=1137671.500319, norm of subgrad 41.316142 stepsize= 1.000000
+dualbound = 2347834.420541, lowerbound=1142746.420541, norm of subgrad 1069.666500 dualbound = 2347834.420541, lowerbound=1142746.420541, norm of subgrad 40.889121 stepsize= 1.000000
+dualbound = 2348058.307166, lowerbound=1140914.307166, norm of subgrad 1068.803213 dualbound = 2348058.307166, lowerbound=1140914.307166, norm of subgrad 40.618796 stepsize= 1.000000
+dualbound = 2348260.309489, lowerbound=1136472.309489, norm of subgrad 1066.738632 dualbound = 2348260.309489, lowerbound=1136472.309489, norm of subgrad 40.755396 stepsize= 1.000000
+dualbound = 2348444.032991, lowerbound=1143967.032991, norm of subgrad 1070.292966 dualbound = 2348444.032991, lowerbound=1143967.032991, norm of subgrad 41.757915 stepsize= 1.000000
+dualbound = 2348673.505620, lowerbound=1139657.505620, norm of subgrad 1068.221656 dualbound = 2348673.505620, lowerbound=1139657.505620, norm of subgrad 40.859180 stepsize= 1.000000
+dualbound = 2348903.664942, lowerbound=1139757.664942, norm of subgrad 1068.301299 dualbound = 2348903.664942, lowerbound=1139757.664942, norm of subgrad 41.715217 stepsize= 1.000000
+dualbound = 2349076.846685, lowerbound=1142207.846685, norm of subgrad 1069.453060 dualbound = 2349076.846685, lowerbound=1142207.846685, norm of subgrad 41.172585 stepsize= 1.000000
+dualbound = 2349299.980807, lowerbound=1146175.980807, norm of subgrad 1071.285200 dualbound = 2349299.980807, lowerbound=1146175.980807, norm of subgrad 41.220555 stepsize= 1.000000
+dualbound = 2349524.350682, lowerbound=1137234.350682, norm of subgrad 1067.078887 dualbound = 2349524.350682, lowerbound=1137234.350682, norm of subgrad 40.587805 stepsize= 1.000000
+dualbound = 2349729.788671, lowerbound=1140809.788671, norm of subgrad 1068.758527 dualbound = 2349729.788671, lowerbound=1140809.788671, norm of subgrad 40.502321 stepsize= 1.000000
+dualbound = 2349959.685473, lowerbound=1140864.685473, norm of subgrad 1068.775320 dualbound = 2349959.685473, lowerbound=1140864.685473, norm of subgrad 40.569654 stepsize= 1.000000
+dualbound = 2350139.899975, lowerbound=1141488.899975, norm of subgrad 1069.093494 dualbound = 2350139.899975, lowerbound=1141488.899975, norm of subgrad 40.647442 stepsize= 1.000000
+dualbound = 2350358.969171, lowerbound=1139855.969171, norm of subgrad 1068.319226 dualbound = 2350358.969171, lowerbound=1139855.969171, norm of subgrad 40.854243 stepsize= 1.000000
+dualbound = 2350575.244634, lowerbound=1141663.244634, norm of subgrad 1069.201686 dualbound = 2350575.244634, lowerbound=1141663.244634, norm of subgrad 41.776494 stepsize= 1.000000
+dualbound = 2350738.166697, lowerbound=1136242.166697, norm of subgrad 1066.707629 dualbound = 2350738.166697, lowerbound=1136242.166697, norm of subgrad 42.260171 stepsize= 1.000000
+dualbound = 2350946.315678, lowerbound=1138107.315678, norm of subgrad 1067.531412 dualbound = 2350946.315678, lowerbound=1138107.315678, norm of subgrad 41.522873 stepsize= 1.000000
+dualbound = 2351205.764417, lowerbound=1146793.764416, norm of subgrad 1071.615493 dualbound = 2351205.764417, lowerbound=1146793.764416, norm of subgrad 42.725270 stepsize= 1.000000
+dualbound = 2351367.898655, lowerbound=1140547.898655, norm of subgrad 1068.661733 dualbound = 2351367.898655, lowerbound=1140547.898655, norm of subgrad 40.646454 stepsize= 1.000000
+dualbound = 2351628.906709, lowerbound=1141012.906709, norm of subgrad 1068.876469 dualbound = 2351628.906709, lowerbound=1141012.906709, norm of subgrad 41.773294 stepsize= 1.000000
+dualbound = 2351821.624766, lowerbound=1139274.624766, norm of subgrad 1068.069579 dualbound = 2351821.624766, lowerbound=1139274.624766, norm of subgrad 41.118342 stepsize= 1.000000
+dualbound = 2352042.356692, lowerbound=1137908.356692, norm of subgrad 1067.433537 dualbound = 2352042.356692, lowerbound=1137908.356692, norm of subgrad 41.553964 stepsize= 1.000000
+dualbound = 2352245.144115, lowerbound=1140610.144115, norm of subgrad 1068.720330 dualbound = 2352245.144115, lowerbound=1140610.144115, norm of subgrad 41.902117 stepsize= 1.000000
+dualbound = 2352449.855788, lowerbound=1143217.855788, norm of subgrad 1069.932641 dualbound = 2352449.855788, lowerbound=1143217.855788, norm of subgrad 41.745798 stepsize= 1.000000
+dualbound = 2352660.622961, lowerbound=1142124.622961, norm of subgrad 1069.441734 dualbound = 2352660.622961, lowerbound=1142124.622961, norm of subgrad 42.329271 stepsize= 1.000000
+dualbound = 2352883.825773, lowerbound=1137127.825773, norm of subgrad 1067.045841 dualbound = 2352883.825773, lowerbound=1137127.825773, norm of subgrad 41.014666 stepsize= 1.000000
+dualbound = 2353105.388735, lowerbound=1140580.388735, norm of subgrad 1068.693777 dualbound = 2353105.388735, lowerbound=1140580.388735, norm of subgrad 41.803863 stepsize= 1.000000
+dualbound = 2353283.288121, lowerbound=1141662.288121, norm of subgrad 1069.193288 dualbound = 2353283.288121, lowerbound=1141662.288121, norm of subgrad 41.108386 stepsize= 1.000000
+dualbound = 2353539.968134, lowerbound=1139115.968134, norm of subgrad 1067.956445 dualbound = 2353539.968134, lowerbound=1139115.968134, norm of subgrad 40.886184 stepsize= 1.000000
+dualbound = 2353751.732624, lowerbound=1142098.732624, norm of subgrad 1069.374459 dualbound = 2353751.732624, lowerbound=1142098.732624, norm of subgrad 40.923887 stepsize= 1.000000
+dualbound = 2353954.118571, lowerbound=1137798.118571, norm of subgrad 1067.361288 dualbound = 2353954.118571, lowerbound=1137798.118571, norm of subgrad 40.796886 stepsize= 1.000000
+dualbound = 2354143.255636, lowerbound=1139781.255636, norm of subgrad 1068.309532 dualbound = 2354143.255636, lowerbound=1139781.255636, norm of subgrad 41.147747 stepsize= 1.000000
+dualbound = 2354363.041229, lowerbound=1142609.041229, norm of subgrad 1069.616306 dualbound = 2354363.041229, lowerbound=1142609.041229, norm of subgrad 41.107002 stepsize= 1.000000
+dualbound = 2354570.243772, lowerbound=1142091.243772, norm of subgrad 1069.349449 dualbound = 2354570.243772, lowerbound=1142091.243772, norm of subgrad 40.301396 stepsize= 1.000000
+dualbound = 2354773.177571, lowerbound=1139786.177571, norm of subgrad 1068.315112 dualbound = 2354773.177571, lowerbound=1139786.177571, norm of subgrad 41.399684 stepsize= 1.000000
+dualbound = 2354964.736357, lowerbound=1142866.736357, norm of subgrad 1069.767609 dualbound = 2354964.736357, lowerbound=1142866.736357, norm of subgrad 41.563912 stepsize= 1.000000
+dualbound = 2355173.424181, lowerbound=1143796.424181, norm of subgrad 1070.203450 dualbound = 2355173.424181, lowerbound=1143796.424181, norm of subgrad 41.805356 stepsize= 1.000000
+dualbound = 2355391.004391, lowerbound=1143439.004391, norm of subgrad 1070.007946 dualbound = 2355391.004391, lowerbound=1143439.004391, norm of subgrad 41.177424 stepsize= 1.000000
+dualbound = 2355600.793828, lowerbound=1140696.793828, norm of subgrad 1068.750576 dualbound = 2355600.793828, lowerbound=1140696.793828, norm of subgrad 41.722769 stepsize= 1.000000
+dualbound = 2355804.326240, lowerbound=1137098.326240, norm of subgrad 1067.040452 dualbound = 2355804.326240, lowerbound=1137098.326240, norm of subgrad 40.994297 stepsize= 1.000000
+dualbound = 2356014.342171, lowerbound=1140936.342171, norm of subgrad 1068.856090 dualbound = 2356014.342171, lowerbound=1140936.342171, norm of subgrad 41.557381 stepsize= 1.000000
+dualbound = 2356242.327127, lowerbound=1140390.327127, norm of subgrad 1068.551041 dualbound = 2356242.327127, lowerbound=1140390.327127, norm of subgrad 40.484379 stepsize= 1.000000
+dualbound = 2356467.588246, lowerbound=1143381.588246, norm of subgrad 1069.968966 dualbound = 2356467.588246, lowerbound=1143381.588246, norm of subgrad 40.954379 stepsize= 1.000000
+dualbound = 2356668.017202, lowerbound=1137350.017202, norm of subgrad 1067.162601 dualbound = 2356668.017202, lowerbound=1137350.017202, norm of subgrad 41.066153 stepsize= 1.000000
+dualbound = 2356861.710184, lowerbound=1146864.710184, norm of subgrad 1071.621067 dualbound = 2356861.710184, lowerbound=1146864.710184, norm of subgrad 41.239459 stepsize= 1.000000
+dualbound = 2357072.062761, lowerbound=1140827.062761, norm of subgrad 1068.785321 dualbound = 2357072.062761, lowerbound=1140827.062761, norm of subgrad 41.053046 stepsize= 1.000000
+dualbound = 2357275.846709, lowerbound=1138969.846709, norm of subgrad 1067.939065 dualbound = 2357275.846709, lowerbound=1138969.846709, norm of subgrad 41.566621 stepsize= 1.000000
+dualbound = 2357465.136560, lowerbound=1137518.136560, norm of subgrad 1067.242773 dualbound = 2357465.136560, lowerbound=1137518.136560, norm of subgrad 40.966936 stepsize= 1.000000
+dualbound = 2357724.777697, lowerbound=1145866.777697, norm of subgrad 1071.129674 dualbound = 2357724.777697, lowerbound=1145866.777697, norm of subgrad 41.371985 stepsize= 1.000000
+dualbound = 2357928.322482, lowerbound=1137739.322482, norm of subgrad 1067.310790 dualbound = 2357928.322482, lowerbound=1137739.322482, norm of subgrad 40.206278 stepsize= 1.000000
+dualbound = 2358143.647287, lowerbound=1141799.647287, norm of subgrad 1069.241155 dualbound = 2358143.647287, lowerbound=1141799.647287, norm of subgrad 41.137876 stepsize= 1.000000
+dualbound = 2358337.427025, lowerbound=1145679.427025, norm of subgrad 1071.082362 dualbound = 2358337.427025, lowerbound=1145679.427025, norm of subgrad 41.614658 stepsize= 1.000000
+dualbound = 2358529.237386, lowerbound=1139871.237386, norm of subgrad 1068.365685 dualbound = 2358529.237386, lowerbound=1139871.237386, norm of subgrad 41.542874 stepsize= 1.000000
+dualbound = 2358739.458599, lowerbound=1138439.458599, norm of subgrad 1067.674791 dualbound = 2358739.458599, lowerbound=1138439.458599, norm of subgrad 41.233739 stepsize= 1.000000
+dualbound = 2358952.817596, lowerbound=1141072.817596, norm of subgrad 1068.927882 dualbound = 2358952.817596, lowerbound=1141072.817596, norm of subgrad 41.801423 stepsize= 1.000000
+dualbound = 2359167.281397, lowerbound=1142397.281397, norm of subgrad 1069.531805 dualbound = 2359167.281397, lowerbound=1142397.281397, norm of subgrad 41.418158 stepsize= 1.000000
+dualbound = 2359399.462726, lowerbound=1141051.462726, norm of subgrad 1068.899183 dualbound = 2359399.462726, lowerbound=1141051.462726, norm of subgrad 41.547338 stepsize= 1.000000
+dualbound = 2359605.459013, lowerbound=1142032.459013, norm of subgrad 1069.335522 dualbound = 2359605.459013, lowerbound=1142032.459013, norm of subgrad 40.644757 stepsize= 1.000000
+dualbound = 2359834.575838, lowerbound=1140276.575838, norm of subgrad 1068.533376 dualbound = 2359834.575838, lowerbound=1140276.575838, norm of subgrad 41.426040 stepsize= 1.000000
+dualbound = 2359981.175170, lowerbound=1140862.175170, norm of subgrad 1068.809700 dualbound = 2359981.175170, lowerbound=1140862.175170, norm of subgrad 40.479616 stepsize= 1.000000
+dualbound = 2360229.429828, lowerbound=1139683.429828, norm of subgrad 1068.272170 dualbound = 2360229.429828, lowerbound=1139683.429828, norm of subgrad 42.074394 stepsize= 1.000000
+dualbound = 2360412.937741, lowerbound=1141248.937741, norm of subgrad 1069.034582 dualbound = 2360412.937741, lowerbound=1141248.937741, norm of subgrad 42.065519 stepsize= 1.000000
+dualbound = 2360626.101591, lowerbound=1140503.101591, norm of subgrad 1068.638901 dualbound = 2360626.101591, lowerbound=1140503.101591, norm of subgrad 41.220915 stepsize= 1.000000
+dualbound = 2360845.274741, lowerbound=1141993.274741, norm of subgrad 1069.301770 dualbound = 2360845.274741, lowerbound=1141993.274741, norm of subgrad 40.400163 stepsize= 1.000000
+dualbound = 2361094.218884, lowerbound=1144566.218884, norm of subgrad 1070.523806 dualbound = 2361094.218884, lowerbound=1144566.218884, norm of subgrad 41.278858 stepsize= 1.000000
+dualbound = 2361258.843067, lowerbound=1141938.843067, norm of subgrad 1069.305309 dualbound = 2361258.843067, lowerbound=1141938.843067, norm of subgrad 40.492273 stepsize= 1.000000
+dualbound = 2361473.528178, lowerbound=1139679.528178, norm of subgrad 1068.265196 dualbound = 2361473.528178, lowerbound=1139679.528178, norm of subgrad 41.541366 stepsize= 1.000000
+dualbound = 2361670.498347, lowerbound=1139236.498347, norm of subgrad 1068.064838 dualbound = 2361670.498347, lowerbound=1139236.498347, norm of subgrad 41.508676 stepsize= 1.000000
+dualbound = 2361892.082027, lowerbound=1141621.082027, norm of subgrad 1069.161392 dualbound = 2361892.082027, lowerbound=1141621.082027, norm of subgrad 41.310818 stepsize= 1.000000
+dualbound = 2362108.686415, lowerbound=1141373.686415, norm of subgrad 1069.029320 dualbound = 2362108.686415, lowerbound=1141373.686415, norm of subgrad 40.824066 stepsize= 1.000000
+dualbound = 2362344.858572, lowerbound=1143282.858572, norm of subgrad 1069.927502 dualbound = 2362344.858572, lowerbound=1143282.858572, norm of subgrad 41.208884 stepsize= 1.000000
+dualbound = 2362526.776976, lowerbound=1141562.776976, norm of subgrad 1069.122433 dualbound = 2362526.776976, lowerbound=1141562.776976, norm of subgrad 40.520592 stepsize= 1.000000
+dualbound = 2362746.364979, lowerbound=1143979.364979, norm of subgrad 1070.276770 dualbound = 2362746.364979, lowerbound=1143979.364979, norm of subgrad 41.624368 stepsize= 1.000000
+dualbound = 2362922.624938, lowerbound=1147505.624938, norm of subgrad 1071.947119 dualbound = 2362922.624938, lowerbound=1147505.624938, norm of subgrad 41.728407 stepsize= 1.000000
+dualbound = 2363146.895286, lowerbound=1135152.895286, norm of subgrad 1066.135496 dualbound = 2363146.895286, lowerbound=1135152.895286, norm of subgrad 41.427893 stepsize= 1.000000
+dualbound = 2363366.671260, lowerbound=1140032.671260, norm of subgrad 1068.415964 dualbound = 2363366.671260, lowerbound=1140032.671260, norm of subgrad 41.228339 stepsize= 1.000000
+dualbound = 2363577.052037, lowerbound=1139716.052037, norm of subgrad 1068.268249 dualbound = 2363577.052037, lowerbound=1139716.052037, norm of subgrad 41.126400 stepsize= 1.000000
+dualbound = 2363763.488802, lowerbound=1145601.488802, norm of subgrad 1071.041777 dualbound = 2363763.488802, lowerbound=1145601.488802, norm of subgrad 41.417831 stepsize= 1.000000
+dualbound = 2363994.381926, lowerbound=1141494.381926, norm of subgrad 1069.103541 dualbound = 2363994.381926, lowerbound=1141494.381926, norm of subgrad 41.459536 stepsize= 1.000000
+dualbound = 2364197.348701, lowerbound=1142860.348701, norm of subgrad 1069.734242 dualbound = 2364197.348701, lowerbound=1142860.348701, norm of subgrad 40.914139 stepsize= 1.000000
+dualbound = 2364412.090186, lowerbound=1141050.090186, norm of subgrad 1068.868135 dualbound = 2364412.090186, lowerbound=1141050.090186, norm of subgrad 40.543082 stepsize= 1.000000
+dualbound = 2364642.691501, lowerbound=1138849.691501, norm of subgrad 1067.873444 dualbound = 2364642.691501, lowerbound=1138849.691501, norm of subgrad 41.648545 stepsize= 1.000000
+dualbound = 2364812.973473, lowerbound=1142944.973473, norm of subgrad 1069.784545 dualbound = 2364812.973473, lowerbound=1142944.973473, norm of subgrad 40.795612 stepsize= 1.000000
+dualbound = 2365037.585419, lowerbound=1145958.585419, norm of subgrad 1071.180930 dualbound = 2365037.585419, lowerbound=1145958.585419, norm of subgrad 41.165665 stepsize= 1.000000
+dualbound = 2365257.220365, lowerbound=1136122.220365, norm of subgrad 1066.556712 dualbound = 2365257.220365, lowerbound=1136122.220365, norm of subgrad 40.504752 stepsize= 1.000000
+dualbound = 2365483.298676, lowerbound=1144554.298676, norm of subgrad 1070.509364 dualbound = 2365483.298676, lowerbound=1144554.298676, norm of subgrad 40.768595 stepsize= 1.000000
+dualbound = 2365666.107342, lowerbound=1142715.107342, norm of subgrad 1069.689257 dualbound = 2365666.107342, lowerbound=1142715.107342, norm of subgrad 41.265102 stepsize= 1.000000
+dualbound = 2365842.955926, lowerbound=1143855.955926, norm of subgrad 1070.227992 dualbound = 2365842.955926, lowerbound=1143855.955926, norm of subgrad 41.338222 stepsize= 1.000000
+dualbound = 2366076.138736, lowerbound=1139564.138736, norm of subgrad 1068.193868 dualbound = 2366076.138736, lowerbound=1139564.138736, norm of subgrad 41.318069 stepsize= 1.000000
+dualbound = 2366302.772508, lowerbound=1141678.772508, norm of subgrad 1069.178083 dualbound = 2366302.772508, lowerbound=1141678.772508, norm of subgrad 41.105155 stepsize= 1.000000
+dualbound = 2366499.096083, lowerbound=1144072.096083, norm of subgrad 1070.328966 dualbound = 2366499.096083, lowerbound=1144072.096083, norm of subgrad 41.573111 stepsize= 1.000000
+dualbound = 2366702.753821, lowerbound=1139255.753821, norm of subgrad 1068.050445 dualbound = 2366702.753821, lowerbound=1139255.753821, norm of subgrad 40.983628 stepsize= 1.000000
+dualbound = 2366916.815608, lowerbound=1140836.815608, norm of subgrad 1068.825437 dualbound = 2366916.815608, lowerbound=1140836.815608, norm of subgrad 42.012638 stepsize= 1.000000
+dualbound = 2367099.779043, lowerbound=1144750.779043, norm of subgrad 1070.637557 dualbound = 2367099.779043, lowerbound=1144750.779043, norm of subgrad 41.194216 stepsize= 1.000000
+dualbound = 2367339.339487, lowerbound=1136844.339487, norm of subgrad 1066.960796 dualbound = 2367339.339487, lowerbound=1136844.339487, norm of subgrad 42.433011 stepsize= 1.000000
+dualbound = 2367503.319014, lowerbound=1144396.319014, norm of subgrad 1070.472475 dualbound = 2367503.319014, lowerbound=1144396.319014, norm of subgrad 40.975353 stepsize= 1.000000
+dualbound = 2367735.698085, lowerbound=1139564.698085, norm of subgrad 1068.217065 dualbound = 2367735.698085, lowerbound=1139564.698085, norm of subgrad 41.897244 stepsize= 1.000000
+dualbound = 2367964.847111, lowerbound=1145065.847111, norm of subgrad 1070.752468 dualbound = 2367964.847111, lowerbound=1145065.847111, norm of subgrad 40.916366 stepsize= 1.000000
+dualbound = 2368159.350937, lowerbound=1143617.350937, norm of subgrad 1070.071657 dualbound = 2368159.350937, lowerbound=1143617.350937, norm of subgrad 40.379498 stepsize= 1.000000
+dualbound = 2368358.856710, lowerbound=1144994.856710, norm of subgrad 1070.778155 dualbound = 2368358.856710, lowerbound=1144994.856710, norm of subgrad 42.077378 stepsize= 1.000000
+dualbound = 2368569.590891, lowerbound=1139280.590891, norm of subgrad 1068.061604 dualbound = 2368569.590891, lowerbound=1139280.590891, norm of subgrad 41.057693 stepsize= 1.000000
+dualbound = 2368796.144750, lowerbound=1141322.144750, norm of subgrad 1068.998197 dualbound = 2368796.144750, lowerbound=1141322.144750, norm of subgrad 40.762162 stepsize= 1.000000
+dualbound = 2369029.439049, lowerbound=1141746.439049, norm of subgrad 1069.212065 dualbound = 2369029.439049, lowerbound=1141746.439049, norm of subgrad 41.246749 stepsize= 1.000000
+dualbound = 2369199.104589, lowerbound=1145724.104589, norm of subgrad 1071.108353 dualbound = 2369199.104589, lowerbound=1145724.104589, norm of subgrad 41.456791 stepsize= 1.000000
+dualbound = 2369402.424457, lowerbound=1141417.424457, norm of subgrad 1069.097014 dualbound = 2369402.424457, lowerbound=1141417.424457, norm of subgrad 41.884602 stepsize= 1.000000
+dualbound = 2369637.350024, lowerbound=1141326.350024, norm of subgrad 1069.029162 dualbound = 2369637.350024, lowerbound=1141326.350024, norm of subgrad 41.616410 stepsize= 1.000000
+dualbound = 2369815.042798, lowerbound=1145666.042798, norm of subgrad 1071.043436 dualbound = 2369815.042798, lowerbound=1145666.042798, norm of subgrad 40.567139 stepsize= 1.000000
+dualbound = 2370057.639427, lowerbound=1144500.639428, norm of subgrad 1070.519799 dualbound = 2370057.639427, lowerbound=1144500.639428, norm of subgrad 41.887906 stepsize= 1.000000
+dualbound = 2370234.709915, lowerbound=1142471.709915, norm of subgrad 1069.584831 dualbound = 2370234.709915, lowerbound=1142471.709915, norm of subgrad 41.437549 stepsize= 1.000000
+dualbound = 2370458.246900, lowerbound=1138793.246900, norm of subgrad 1067.844205 dualbound = 2370458.246900, lowerbound=1138793.246900, norm of subgrad 41.491409 stepsize= 1.000000
+dualbound = 2370682.249435, lowerbound=1145498.249435, norm of subgrad 1070.963701 dualbound = 2370682.249435, lowerbound=1145498.249435, norm of subgrad 41.097476 stepsize= 1.000000
+dualbound = 2370866.784292, lowerbound=1136242.784292, norm of subgrad 1066.658232 dualbound = 2370866.784292, lowerbound=1136242.784292, norm of subgrad 41.249665 stepsize= 1.000000
+dualbound = 2371073.253746, lowerbound=1144682.253746, norm of subgrad 1070.605088 dualbound = 2371073.253746, lowerbound=1144682.253746, norm of subgrad 41.466486 stepsize= 1.000000
+dualbound = 2371303.690248, lowerbound=1143082.690248, norm of subgrad 1069.846573 dualbound = 2371303.690248, lowerbound=1143082.690248, norm of subgrad 41.466089 stepsize= 1.000000
+dualbound = 2371504.917835, lowerbound=1143769.917835, norm of subgrad 1070.143410 dualbound = 2371504.917835, lowerbound=1143769.917835, norm of subgrad 40.475024 stepsize= 1.000000
+dualbound = 2371719.718145, lowerbound=1138799.718145, norm of subgrad 1067.851449 dualbound = 2371719.718145, lowerbound=1138799.718145, norm of subgrad 41.494582 stepsize= 1.000000
+dualbound = 2371898.649253, lowerbound=1144582.649253, norm of subgrad 1070.580053 dualbound = 2371898.649253, lowerbound=1144582.649253, norm of subgrad 41.688501 stepsize= 1.000000
+dualbound = 2372120.819875, lowerbound=1140744.819875, norm of subgrad 1068.764155 dualbound = 2372120.819875, lowerbound=1140744.819875, norm of subgrad 41.643374 stepsize= 1.000000
+dualbound = 2372328.181628, lowerbound=1143423.181628, norm of subgrad 1070.006627 dualbound = 2372328.181628, lowerbound=1143423.181628, norm of subgrad 41.211185 stepsize= 1.000000
+dualbound = 2372548.672467, lowerbound=1143605.672467, norm of subgrad 1070.077881 dualbound = 2372548.672467, lowerbound=1143605.672467, norm of subgrad 41.005985 stepsize= 1.000000
+dualbound = 2372776.159852, lowerbound=1140134.159852, norm of subgrad 1068.462989 dualbound = 2372776.159852, lowerbound=1140134.159852, norm of subgrad 41.309652 stepsize= 1.000000
+dualbound = 2372970.646872, lowerbound=1143446.646872, norm of subgrad 1070.005442 dualbound = 2372970.646872, lowerbound=1143446.646872, norm of subgrad 40.736802 stepsize= 1.000000
+dualbound = 2373157.376187, lowerbound=1142936.376187, norm of subgrad 1069.781462 dualbound = 2373157.376187, lowerbound=1142936.376187, norm of subgrad 41.021084 stepsize= 1.000000
+dualbound = 2373390.898048, lowerbound=1143278.898048, norm of subgrad 1069.927987 dualbound = 2373390.898048, lowerbound=1143278.898048, norm of subgrad 41.237384 stepsize= 1.000000
+dualbound = 2373580.524735, lowerbound=1141367.524735, norm of subgrad 1069.040001 dualbound = 2373580.524735, lowerbound=1141367.524735, norm of subgrad 40.848827 stepsize= 1.000000
+dualbound = 2373794.426169, lowerbound=1145248.426169, norm of subgrad 1070.882545 dualbound = 2373794.426169, lowerbound=1145248.426169, norm of subgrad 41.891544 stepsize= 1.000000
+dualbound = 2373974.005381, lowerbound=1143616.005381, norm of subgrad 1070.125696 dualbound = 2373974.005381, lowerbound=1143616.005381, norm of subgrad 41.624262 stepsize= 1.000000
+dualbound = 2374175.017653, lowerbound=1147002.017653, norm of subgrad 1071.677665 dualbound = 2374175.017653, lowerbound=1147002.017653, norm of subgrad 41.134077 stepsize= 1.000000
+dualbound = 2374407.175918, lowerbound=1136789.175918, norm of subgrad 1066.914793 dualbound = 2374407.175918, lowerbound=1136789.175918, norm of subgrad 41.834893 stepsize= 1.000000
+dualbound = 2374604.061018, lowerbound=1146131.061018, norm of subgrad 1071.289438 dualbound = 2374604.061018, lowerbound=1146131.061018, norm of subgrad 41.555807 stepsize= 1.000000
+dualbound = 2374812.764555, lowerbound=1137155.764555, norm of subgrad 1067.052372 dualbound = 2374812.764555, lowerbound=1137155.764555, norm of subgrad 40.665754 stepsize= 1.000000
+dualbound = 2375056.615653, lowerbound=1143642.615653, norm of subgrad 1070.075519 dualbound = 2375056.615653, lowerbound=1143642.615653, norm of subgrad 40.778071 stepsize= 1.000000
+dualbound = 2375260.966837, lowerbound=1143304.966837, norm of subgrad 1069.951385 dualbound = 2375260.966837, lowerbound=1143304.966837, norm of subgrad 41.174642 stepsize= 1.000000
+dualbound = 2375458.855346, lowerbound=1142603.855346, norm of subgrad 1069.612012 dualbound = 2375458.855346, lowerbound=1142603.855346, norm of subgrad 40.790790 stepsize= 1.000000
+dualbound = 2375666.424598, lowerbound=1145917.424598, norm of subgrad 1071.160317 dualbound = 2375666.424598, lowerbound=1145917.424598, norm of subgrad 40.921501 stepsize= 1.000000
+dualbound = 2375864.982231, lowerbound=1141114.982231, norm of subgrad 1068.929363 dualbound = 2375864.982231, lowerbound=1141114.982231, norm of subgrad 41.152857 stepsize= 1.000000
+dualbound = 2376057.680398, lowerbound=1141696.680398, norm of subgrad 1069.236027 dualbound = 2376057.680398, lowerbound=1141696.680398, norm of subgrad 41.972588 stepsize= 1.000000
+dualbound = 2376243.447002, lowerbound=1146678.447002, norm of subgrad 1071.534622 dualbound = 2376243.447002, lowerbound=1146678.447002, norm of subgrad 41.155396 stepsize= 1.000000
+dualbound = 2376477.976250, lowerbound=1135498.976250, norm of subgrad 1066.316077 dualbound = 2376477.976250, lowerbound=1135498.976250, norm of subgrad 42.018201 stepsize= 1.000000
+dualbound = 2376708.275244, lowerbound=1142498.275244, norm of subgrad 1069.583692 dualbound = 2376708.275244, lowerbound=1142498.275244, norm of subgrad 41.728875 stepsize= 1.000000
+dualbound = 2376896.470442, lowerbound=1143706.470442, norm of subgrad 1070.123577 dualbound = 2376896.470442, lowerbound=1143706.470442, norm of subgrad 40.573331 stepsize= 1.000000
+dualbound = 2377130.477896, lowerbound=1141929.477896, norm of subgrad 1069.284096 dualbound = 2377130.477896, lowerbound=1141929.477896, norm of subgrad 40.902414 stepsize= 1.000000
+dualbound = 2377316.108446, lowerbound=1144006.108446, norm of subgrad 1070.300009 dualbound = 2377316.108446, lowerbound=1144006.108446, norm of subgrad 41.492536 stepsize= 1.000000
+dualbound = 2377536.672107, lowerbound=1144654.672107, norm of subgrad 1070.576327 dualbound = 2377536.672107, lowerbound=1144654.672107, norm of subgrad 41.225765 stepsize= 1.000000
+dualbound = 2377720.905765, lowerbound=1143047.905765, norm of subgrad 1069.863031 dualbound = 2377720.905765, lowerbound=1143047.905765, norm of subgrad 41.752050 stepsize= 1.000000
+dualbound = 2377933.574070, lowerbound=1144524.574070, norm of subgrad 1070.499684 dualbound = 2377933.574070, lowerbound=1144524.574070, norm of subgrad 40.714473 stepsize= 1.000000
+dualbound = 2378180.875625, lowerbound=1147422.875625, norm of subgrad 1071.820823 dualbound = 2378180.875625, lowerbound=1147422.875625, norm of subgrad 40.302625 stepsize= 1.000000
+dualbound = 2378379.384932, lowerbound=1136832.384932, norm of subgrad 1066.939260 dualbound = 2378379.384932, lowerbound=1136832.384932, norm of subgrad 41.539250 stepsize= 1.000000
+dualbound = 2378538.191993, lowerbound=1146749.191993, norm of subgrad 1071.560634 dualbound = 2378538.191993, lowerbound=1146749.191993, norm of subgrad 40.642429 stepsize= 1.000000
+dualbound = 2378767.876373, lowerbound=1141543.876373, norm of subgrad 1069.117803 dualbound = 2378767.876373, lowerbound=1141543.876373, norm of subgrad 41.215099 stepsize= 1.000000
+dualbound = 2378966.250266, lowerbound=1142778.250266, norm of subgrad 1069.699140 dualbound = 2378966.250266, lowerbound=1142778.250266, norm of subgrad 40.943545 stepsize= 1.000000
+dualbound = 2379187.572848, lowerbound=1143039.572848, norm of subgrad 1069.839975 dualbound = 2379187.572848, lowerbound=1143039.572848, norm of subgrad 41.705187 stepsize= 1.000000
+dualbound = 2379389.587688, lowerbound=1142745.587688, norm of subgrad 1069.715190 dualbound = 2379389.587688, lowerbound=1142745.587688, norm of subgrad 41.797307 stepsize= 1.000000
+dualbound = 2379586.817705, lowerbound=1141900.817705, norm of subgrad 1069.305764 dualbound = 2379586.817705, lowerbound=1141900.817705, norm of subgrad 41.367016 stepsize= 1.000000
+dualbound = 2379811.842123, lowerbound=1145855.842123, norm of subgrad 1071.151176 dualbound = 2379811.842123, lowerbound=1145855.842123, norm of subgrad 41.641619 stepsize= 1.000000
+dualbound = 2380013.093576, lowerbound=1139056.093576, norm of subgrad 1067.947140 dualbound = 2380013.093576, lowerbound=1139056.093576, norm of subgrad 40.697069 stepsize= 1.000000
+dualbound = 2380234.198378, lowerbound=1142330.198378, norm of subgrad 1069.487353 dualbound = 2380234.198378, lowerbound=1142330.198378, norm of subgrad 41.159504 stepsize= 1.000000
+dualbound = 2380424.268231, lowerbound=1146357.268231, norm of subgrad 1071.416011 dualbound = 2380424.268231, lowerbound=1146357.268231, norm of subgrad 42.012734 stepsize= 1.000000
+dualbound = 2380596.095950, lowerbound=1145467.095950, norm of subgrad 1070.991641 dualbound = 2380596.095950, lowerbound=1145467.095950, norm of subgrad 41.567147 stepsize= 1.000000
+dualbound = 2380836.529333, lowerbound=1143173.529333, norm of subgrad 1069.899775 dualbound = 2380836.529333, lowerbound=1143173.529333, norm of subgrad 41.862076 stepsize= 1.000000
+dualbound = 2381050.522950, lowerbound=1143505.522950, norm of subgrad 1070.038561 dualbound = 2381050.522950, lowerbound=1143505.522950, norm of subgrad 41.121693 stepsize= 1.000000
+dualbound = 2381247.845508, lowerbound=1144494.845508, norm of subgrad 1070.483931 dualbound = 2381247.845508, lowerbound=1144494.845508, norm of subgrad 40.476197 stepsize= 1.000000
+dualbound = 2381499.992750, lowerbound=1143681.992750, norm of subgrad 1070.103263 dualbound = 2381499.992750, lowerbound=1143681.992750, norm of subgrad 41.123561 stepsize= 1.000000
+dualbound = 2381691.878289, lowerbound=1148534.878289, norm of subgrad 1072.383270 dualbound = 2381691.878289, lowerbound=1148534.878289, norm of subgrad 40.778494 stepsize= 1.000000
+dualbound = 2381883.124386, lowerbound=1145051.124386, norm of subgrad 1070.769408 dualbound = 2381883.124386, lowerbound=1145051.124386, norm of subgrad 41.076101 stepsize= 1.000000
+dualbound = 2382072.985540, lowerbound=1141231.985540, norm of subgrad 1068.986429 dualbound = 2382072.985540, lowerbound=1141231.985540, norm of subgrad 41.107921 stepsize= 1.000000
+dualbound = 2382284.523985, lowerbound=1141642.523985, norm of subgrad 1069.170952 dualbound = 2382284.523985, lowerbound=1141642.523985, norm of subgrad 41.176916 stepsize= 1.000000
+dualbound = 2382503.675750, lowerbound=1139218.675750, norm of subgrad 1068.028406 dualbound = 2382503.675750, lowerbound=1139218.675750, norm of subgrad 41.050600 stepsize= 1.000000
+dualbound = 2382699.604358, lowerbound=1147152.604358, norm of subgrad 1071.752585 dualbound = 2382699.604358, lowerbound=1147152.604358, norm of subgrad 41.193793 stepsize= 1.000000
+dualbound = 2382910.593426, lowerbound=1142235.593426, norm of subgrad 1069.443123 dualbound = 2382910.593426, lowerbound=1142235.593426, norm of subgrad 41.036436 stepsize= 1.000000
+dualbound = 2383122.954463, lowerbound=1147660.954463, norm of subgrad 1072.001844 dualbound = 2383122.954463, lowerbound=1147660.954463, norm of subgrad 41.705648 stepsize= 1.000000
+dualbound = 2383325.262249, lowerbound=1145338.262249, norm of subgrad 1070.932893 dualbound = 2383325.262249, lowerbound=1145338.262249, norm of subgrad 41.967938 stepsize= 1.000000
+dualbound = 2383525.994107, lowerbound=1143931.994107, norm of subgrad 1070.253705 dualbound = 2383525.994107, lowerbound=1143931.994107, norm of subgrad 41.373081 stepsize= 1.000000
+dualbound = 2383737.733720, lowerbound=1141649.733720, norm of subgrad 1069.205188 dualbound = 2383737.733720, lowerbound=1141649.733720, norm of subgrad 41.973082 stepsize= 1.000000
+dualbound = 2383925.873049, lowerbound=1145821.873049, norm of subgrad 1071.149790 dualbound = 2383925.873049, lowerbound=1145821.873049, norm of subgrad 41.570895 stepsize= 1.000000
+dualbound = 2384159.588497, lowerbound=1137609.588497, norm of subgrad 1067.282338 dualbound = 2384159.588497, lowerbound=1137609.588497, norm of subgrad 41.421196 stepsize= 1.000000
+dualbound = 2384382.171303, lowerbound=1143446.171303, norm of subgrad 1070.036995 dualbound = 2384382.171303, lowerbound=1143446.171303, norm of subgrad 41.899675 stepsize= 1.000000
+dualbound = 2384574.602746, lowerbound=1149334.602746, norm of subgrad 1072.773789 dualbound = 2384574.602746, lowerbound=1149334.602746, norm of subgrad 41.248411 stepsize= 1.000000
+dualbound = 2384777.582629, lowerbound=1144452.582629, norm of subgrad 1070.495485 dualbound = 2384777.582629, lowerbound=1144452.582629, norm of subgrad 41.363993 stepsize= 1.000000
+dualbound = 2384970.191669, lowerbound=1142469.191669, norm of subgrad 1069.580381 dualbound = 2384970.191669, lowerbound=1142469.191669, norm of subgrad 41.540451 stepsize= 1.000000
+dualbound = 2385181.834979, lowerbound=1140666.834979, norm of subgrad 1068.753870 dualbound = 2385181.834979, lowerbound=1140666.834979, norm of subgrad 42.185819 stepsize= 1.000000
+dualbound = 2385383.269853, lowerbound=1146276.269853, norm of subgrad 1071.338541 dualbound = 2385383.269853, lowerbound=1146276.269853, norm of subgrad 41.127058 stepsize= 1.000000
+dualbound = 2385627.872252, lowerbound=1143217.872252, norm of subgrad 1069.910684 dualbound = 2385627.872252, lowerbound=1143217.872252, norm of subgrad 41.660562 stepsize= 1.000000
+dualbound = 2385787.258540, lowerbound=1143957.258540, norm of subgrad 1070.266443 dualbound = 2385787.258540, lowerbound=1143957.258540, norm of subgrad 40.894820 stepsize= 1.000000
+dualbound = 2386030.261545, lowerbound=1146419.261545, norm of subgrad 1071.401074 dualbound = 2386030.261545, lowerbound=1146419.261545, norm of subgrad 41.521115 stepsize= 1.000000
+dualbound = 2386221.547502, lowerbound=1139994.547502, norm of subgrad 1068.367702 dualbound = 2386221.547502, lowerbound=1139994.547502, norm of subgrad 40.078497 stepsize= 1.000000
+dualbound = 2386463.818857, lowerbound=1149969.818857, norm of subgrad 1073.033466 dualbound = 2386463.818857, lowerbound=1149969.818857, norm of subgrad 40.905640 stepsize= 1.000000
+dualbound = 2386657.721170, lowerbound=1139001.721170, norm of subgrad 1067.934324 dualbound = 2386657.721170, lowerbound=1139001.721170, norm of subgrad 40.937786 stepsize= 1.000000
+dualbound = 2386832.771295, lowerbound=1147837.771295, norm of subgrad 1072.077782 dualbound = 2386832.771295, lowerbound=1147837.771295, norm of subgrad 41.085887 stepsize= 1.000000
+dualbound = 2387028.704257, lowerbound=1143450.704257, norm of subgrad 1070.013413 dualbound = 2387028.704257, lowerbound=1143450.704257, norm of subgrad 40.913726 stepsize= 1.000000
+dualbound = 2387273.129296, lowerbound=1144396.129296, norm of subgrad 1070.453703 dualbound = 2387273.129296, lowerbound=1144396.129296, norm of subgrad 41.465950 stepsize= 1.000000
+dualbound = 2387451.263494, lowerbound=1146426.263494, norm of subgrad 1071.438875 dualbound = 2387451.263494, lowerbound=1146426.263494, norm of subgrad 41.630928 stepsize= 1.000000
+dualbound = 2387665.124131, lowerbound=1143955.124131, norm of subgrad 1070.237415 dualbound = 2387665.124131, lowerbound=1143955.124131, norm of subgrad 40.827205 stepsize= 1.000000
+dualbound = 2387873.404309, lowerbound=1144732.404309, norm of subgrad 1070.611229 dualbound = 2387873.404309, lowerbound=1144732.404309, norm of subgrad 41.039983 stepsize= 1.000000
+dualbound = 2388092.010432, lowerbound=1143271.010432, norm of subgrad 1069.929442 dualbound = 2388092.010432, lowerbound=1143271.010432, norm of subgrad 41.189879 stepsize= 1.000000
+dualbound = 2388293.069793, lowerbound=1146319.069793, norm of subgrad 1071.366917 dualbound = 2388293.069793, lowerbound=1146319.069793, norm of subgrad 41.340771 stepsize= 1.000000
+dualbound = 2388488.497521, lowerbound=1144935.497521, norm of subgrad 1070.739229 dualbound = 2388488.497521, lowerbound=1144935.497521, norm of subgrad 41.742397 stepsize= 1.000000
+dualbound = 2388687.665924, lowerbound=1145454.665924, norm of subgrad 1070.955959 dualbound = 2388687.665924, lowerbound=1145454.665924, norm of subgrad 41.123818 stepsize= 1.000000
+dualbound = 2388898.429851, lowerbound=1145032.429851, norm of subgrad 1070.772819 dualbound = 2388898.429851, lowerbound=1145032.429851, norm of subgrad 41.626481 stepsize= 1.000000
+dualbound = 2389121.627111, lowerbound=1147057.627111, norm of subgrad 1071.713874 dualbound = 2389121.627111, lowerbound=1147057.627111, norm of subgrad 41.667700 stepsize= 1.000000
+dualbound = 2389333.680296, lowerbound=1142768.680296, norm of subgrad 1069.701678 dualbound = 2389333.680296, lowerbound=1142768.680296, norm of subgrad 41.292290 stepsize= 1.000000
+dualbound = 2389521.659741, lowerbound=1141736.659741, norm of subgrad 1069.198139 dualbound = 2389521.659741, lowerbound=1141736.659741, norm of subgrad 40.447243 stepsize= 1.000000
+dualbound = 2389752.406869, lowerbound=1147110.406869, norm of subgrad 1071.724501 dualbound = 2389752.406869, lowerbound=1147110.406869, norm of subgrad 41.397429 stepsize= 1.000000
+dualbound = 2389919.253885, lowerbound=1145658.253885, norm of subgrad 1071.084149 dualbound = 2389919.253885, lowerbound=1145658.253885, norm of subgrad 41.591430 stepsize= 1.000000
+dualbound = 2390130.239491, lowerbound=1148665.239491, norm of subgrad 1072.444050 dualbound = 2390130.239491, lowerbound=1148665.239491, norm of subgrad 41.012018 stepsize= 1.000000
+dualbound = 2390359.636645, lowerbound=1142160.636645, norm of subgrad 1069.408545 dualbound = 2390359.636645, lowerbound=1142160.636645, norm of subgrad 41.272232 stepsize= 1.000000
+dualbound = 2390538.487590, lowerbound=1150878.487590, norm of subgrad 1073.522467 dualbound = 2390538.487590, lowerbound=1150878.487590, norm of subgrad 41.843171 stepsize= 1.000000
+dualbound = 2390740.942051, lowerbound=1143413.942051, norm of subgrad 1070.019599 dualbound = 2390740.942051, lowerbound=1143413.942051, norm of subgrad 41.598731 stepsize= 1.000000
+dualbound = 2390949.832839, lowerbound=1146127.832839, norm of subgrad 1071.307534 dualbound = 2390949.832839, lowerbound=1146127.832839, norm of subgrad 42.200602 stepsize= 1.000000
+dualbound = 2391160.674333, lowerbound=1142197.674333, norm of subgrad 1069.434745 dualbound = 2391160.674333, lowerbound=1142197.674333, norm of subgrad 41.277615 stepsize= 1.000000
+dualbound = 2391376.618186, lowerbound=1147454.618186, norm of subgrad 1071.876214 dualbound = 2391376.618186, lowerbound=1147454.618186, norm of subgrad 40.987118 stepsize= 1.000000
+dualbound = 2391581.621760, lowerbound=1145480.621760, norm of subgrad 1070.957339 dualbound = 2391581.621760, lowerbound=1145480.621760, norm of subgrad 40.914589 stepsize= 1.000000
+dualbound = 2391788.848366, lowerbound=1142473.848366, norm of subgrad 1069.556847 dualbound = 2391788.848366, lowerbound=1142473.848366, norm of subgrad 41.051512 stepsize= 1.000000
+dualbound = 2391999.863442, lowerbound=1144077.863442, norm of subgrad 1070.308303 dualbound = 2391999.863442, lowerbound=1144077.863442, norm of subgrad 41.146264 stepsize= 1.000000
+dualbound = 2392184.304251, lowerbound=1146380.304251, norm of subgrad 1071.390827 dualbound = 2392184.304251, lowerbound=1146380.304251, norm of subgrad 41.017567 stepsize= 1.000000
+dualbound = 2392396.727164, lowerbound=1143300.727164, norm of subgrad 1069.976975 dualbound = 2392396.727164, lowerbound=1143300.727164, norm of subgrad 41.981221 stepsize= 1.000000
+dualbound = 2392600.189686, lowerbound=1146832.189686, norm of subgrad 1071.595628 dualbound = 2392600.189686, lowerbound=1146832.189686, norm of subgrad 41.090906 stepsize= 1.000000
+dualbound = 2392837.495809, lowerbound=1148827.495809, norm of subgrad 1072.501979 dualbound = 2392837.495809, lowerbound=1148827.495809, norm of subgrad 40.869379 stepsize= 1.000000
+dualbound = 2393031.331272, lowerbound=1145237.331272, norm of subgrad 1070.866159 dualbound = 2393031.331272, lowerbound=1145237.331272, norm of subgrad 41.362247 stepsize= 1.000000
+dualbound = 2393222.444737, lowerbound=1144289.444737, norm of subgrad 1070.417416 dualbound = 2393222.444737, lowerbound=1144289.444737, norm of subgrad 41.171756 stepsize= 1.000000
+dualbound = 2393433.532788, lowerbound=1145157.532788, norm of subgrad 1070.856915 dualbound = 2393433.532788, lowerbound=1145157.532788, norm of subgrad 42.285790 stepsize= 1.000000
+dualbound = 2393598.698631, lowerbound=1146360.698631, norm of subgrad 1071.405011 dualbound = 2393598.698631, lowerbound=1146360.698631, norm of subgrad 41.390408 stepsize= 1.000000
+dualbound = 2393851.637389, lowerbound=1147480.637389, norm of subgrad 1071.903744 dualbound = 2393851.637389, lowerbound=1147480.637389, norm of subgrad 41.832269 stepsize= 1.000000
+dualbound = 2394066.521284, lowerbound=1144332.521284, norm of subgrad 1070.439873 dualbound = 2394066.521284, lowerbound=1144332.521284, norm of subgrad 41.519681 stepsize= 1.000000
+dualbound = 2394256.591798, lowerbound=1144524.591798, norm of subgrad 1070.515573 dualbound = 2394256.591798, lowerbound=1144524.591798, norm of subgrad 40.854259 stepsize= 1.000000
+dualbound = 2394474.375820, lowerbound=1145536.375820, norm of subgrad 1070.991772 dualbound = 2394474.375820, lowerbound=1145536.375820, norm of subgrad 41.289030 stepsize= 1.000000
+dualbound = 2394671.348813, lowerbound=1147162.348813, norm of subgrad 1071.735671 dualbound = 2394671.348813, lowerbound=1147162.348813, norm of subgrad 40.644471 stepsize= 1.000000
+dualbound = 2394885.418599, lowerbound=1144444.418599, norm of subgrad 1070.475791 dualbound = 2394885.418599, lowerbound=1144444.418599, norm of subgrad 41.086126 stepsize= 1.000000
+dualbound = 2395097.095658, lowerbound=1143343.095658, norm of subgrad 1069.981820 dualbound = 2395097.095658, lowerbound=1143343.095658, norm of subgrad 41.589386 stepsize= 1.000000
+dualbound = 2395284.847031, lowerbound=1144077.847031, norm of subgrad 1070.329784 dualbound = 2395284.847031, lowerbound=1144077.847031, norm of subgrad 41.421629 stepsize= 1.000000
+dualbound = 2395485.159863, lowerbound=1148720.159863, norm of subgrad 1072.472452 dualbound = 2395485.159863, lowerbound=1148720.159863, norm of subgrad 40.955010 stepsize= 1.000000
+dualbound = 2395710.281826, lowerbound=1143111.281826, norm of subgrad 1069.854795 dualbound = 2395710.281826, lowerbound=1143111.281826, norm of subgrad 41.268898 stepsize= 1.000000
+dualbound = 2395915.140260, lowerbound=1145287.140260, norm of subgrad 1070.868405 dualbound = 2395915.140260, lowerbound=1145287.140260, norm of subgrad 40.949462 stepsize= 1.000000
+dualbound = 2396121.502548, lowerbound=1146175.502548, norm of subgrad 1071.277976 dualbound = 2396121.502548, lowerbound=1146175.502548, norm of subgrad 40.833348 stepsize= 1.000000
+dualbound = 2396324.394015, lowerbound=1153050.394015, norm of subgrad 1074.534036 dualbound = 2396324.394015, lowerbound=1153050.394015, norm of subgrad 42.141327 stepsize= 1.000000
+dualbound = 2396517.790016, lowerbound=1143201.790016, norm of subgrad 1069.905038 dualbound = 2396517.790016, lowerbound=1143201.790016, norm of subgrad 41.090096 stepsize= 1.000000
+dualbound = 2396739.069478, lowerbound=1144197.069478, norm of subgrad 1070.359318 dualbound = 2396739.069478, lowerbound=1144197.069478, norm of subgrad 41.149477 stepsize= 1.000000
+dualbound = 2396919.135875, lowerbound=1145916.135875, norm of subgrad 1071.190056 dualbound = 2396919.135875, lowerbound=1145916.135875, norm of subgrad 41.377124 stepsize= 1.000000
+dualbound = 2397135.259460, lowerbound=1150652.259460, norm of subgrad 1073.360731 dualbound = 2397135.259460, lowerbound=1150652.259460, norm of subgrad 40.830425 stepsize= 1.000000
+dualbound = 2397359.414283, lowerbound=1142699.414283, norm of subgrad 1069.644995 dualbound = 2397359.414283, lowerbound=1142699.414283, norm of subgrad 40.806309 stepsize= 1.000000
+dualbound = 2397555.245090, lowerbound=1146899.245090, norm of subgrad 1071.638113 dualbound = 2397555.245090, lowerbound=1146899.245090, norm of subgrad 41.289597 stepsize= 1.000000
+dualbound = 2397731.443139, lowerbound=1146320.443139, norm of subgrad 1071.390892 dualbound = 2397731.443139, lowerbound=1146320.443139, norm of subgrad 41.643704 stepsize= 1.000000
+dualbound = 2397939.693443, lowerbound=1152814.693443, norm of subgrad 1074.440177 dualbound = 2397939.693443, lowerbound=1152814.693443, norm of subgrad 42.605754 stepsize= 1.000000
+dualbound = 2398126.012946, lowerbound=1145083.012946, norm of subgrad 1070.829124 dualbound = 2398126.012946, lowerbound=1145083.012946, norm of subgrad 42.170126 stepsize= 1.000000
+dualbound = 2398371.296402, lowerbound=1143594.296402, norm of subgrad 1070.057146 dualbound = 2398371.296402, lowerbound=1143594.296402, norm of subgrad 40.905788 stepsize= 1.000000
+dualbound = 2398562.826613, lowerbound=1145976.826613, norm of subgrad 1071.199714 dualbound = 2398562.826613, lowerbound=1145976.826613, norm of subgrad 41.030845 stepsize= 1.000000
+dualbound = 2398766.557306, lowerbound=1144705.557306, norm of subgrad 1070.618306 dualbound = 2398766.557306, lowerbound=1144705.557306, norm of subgrad 41.493743 stepsize= 1.000000
+dualbound = 2398963.969232, lowerbound=1151831.969232, norm of subgrad 1073.921305 dualbound = 2398963.969232, lowerbound=1151831.969232, norm of subgrad 40.895133 stepsize= 1.000000
+dualbound = 2399186.378470, lowerbound=1145884.378470, norm of subgrad 1071.134155 dualbound = 2399186.378470, lowerbound=1145884.378470, norm of subgrad 40.821676 stepsize= 1.000000
+dualbound = 2399392.633288, lowerbound=1144106.633288, norm of subgrad 1070.308195 dualbound = 2399392.633288, lowerbound=1144106.633288, norm of subgrad 40.733952 stepsize= 1.000000
+dualbound = 2399591.948094, lowerbound=1147598.948094, norm of subgrad 1071.967326 dualbound = 2399591.948094, lowerbound=1147598.948094, norm of subgrad 41.404285 stepsize= 1.000000
+dualbound = 2399797.145646, lowerbound=1151301.145646, norm of subgrad 1073.711854 dualbound = 2399797.145646, lowerbound=1151301.145646, norm of subgrad 41.966624 stepsize= 1.000000
+dualbound = 2399982.214308, lowerbound=1151223.214308, norm of subgrad 1073.645758 dualbound = 2399982.214308, lowerbound=1151223.214308, norm of subgrad 40.952029 stepsize= 1.000000
+dualbound = 2400213.634926, lowerbound=1148051.634926, norm of subgrad 1072.184049 dualbound = 2400213.634926, lowerbound=1148051.634926, norm of subgrad 41.933526 stepsize= 1.000000
+dualbound = 2400379.468933, lowerbound=1143077.468933, norm of subgrad 1069.837123 dualbound = 2400379.468933, lowerbound=1143077.468933, norm of subgrad 40.494864 stepsize= 1.000000
+dualbound = 2400626.036735, lowerbound=1147409.036735, norm of subgrad 1071.883873 dualbound = 2400626.036735, lowerbound=1147409.036735, norm of subgrad 42.101874 stepsize= 1.000000
+dualbound = 2400803.135984, lowerbound=1149616.135984, norm of subgrad 1072.903134 dualbound = 2400803.135984, lowerbound=1149616.135984, norm of subgrad 41.013403 stepsize= 1.000000
+dualbound = 2401009.706334, lowerbound=1142162.706334, norm of subgrad 1069.408578 dualbound = 2401009.706334, lowerbound=1142162.706334, norm of subgrad 40.970359 stepsize= 1.000000
+dualbound = 2401236.533056, lowerbound=1149537.533056, norm of subgrad 1072.855784 dualbound = 2401236.533056, lowerbound=1149537.533056, norm of subgrad 41.337957 stepsize= 1.000000
+dualbound = 2401441.555203, lowerbound=1147690.555203, norm of subgrad 1072.011453 dualbound = 2401441.555203, lowerbound=1147690.555203, norm of subgrad 41.509302 stepsize= 1.000000
+dualbound = 2401625.409712, lowerbound=1146956.409712, norm of subgrad 1071.675515 dualbound = 2401625.409712, lowerbound=1146956.409712, norm of subgrad 41.422874 stepsize= 1.000000
+dualbound = 2401839.461121, lowerbound=1147686.461121, norm of subgrad 1072.018872 dualbound = 2401839.461121, lowerbound=1147686.461121, norm of subgrad 41.857513 stepsize= 1.000000
+dualbound = 2402041.092710, lowerbound=1148740.092710, norm of subgrad 1072.473353 dualbound = 2402041.092710, lowerbound=1148740.092710, norm of subgrad 40.750848 stepsize= 1.000000
+dualbound = 2402257.769737, lowerbound=1145019.769737, norm of subgrad 1070.730484 dualbound = 2402257.769737, lowerbound=1145019.769737, norm of subgrad 40.751405 stepsize= 1.000000
+dualbound = 2402459.368746, lowerbound=1149804.368746, norm of subgrad 1072.990386 dualbound = 2402459.368746, lowerbound=1149804.368746, norm of subgrad 41.298898 stepsize= 1.000000
+dualbound = 2402654.018102, lowerbound=1149177.018102, norm of subgrad 1072.681229 dualbound = 2402654.018102, lowerbound=1149177.018102, norm of subgrad 40.775598 stepsize= 1.000000
+dualbound = 2402848.510268, lowerbound=1146484.510268, norm of subgrad 1071.455790 dualbound = 2402848.510268, lowerbound=1146484.510268, norm of subgrad 41.563111 stepsize= 1.000000
+dualbound = 2403062.590135, lowerbound=1148133.590135, norm of subgrad 1072.191489 dualbound = 2403062.590135, lowerbound=1148133.590135, norm of subgrad 40.927740 stepsize= 1.000000
+dualbound = 2403267.270094, lowerbound=1149820.270094, norm of subgrad 1073.026221 dualbound = 2403267.270094, lowerbound=1149820.270094, norm of subgrad 42.067564 stepsize= 1.000000
+dualbound = 2403424.868988, lowerbound=1146012.868988, norm of subgrad 1071.239408 dualbound = 2403424.868988, lowerbound=1146012.868988, norm of subgrad 41.214062 stepsize= 1.000000
+dualbound = 2403661.357939, lowerbound=1146347.357939, norm of subgrad 1071.415119 dualbound = 2403661.357939, lowerbound=1146347.357939, norm of subgrad 42.655468 stepsize= 1.000000
+dualbound = 2403844.627324, lowerbound=1144768.627324, norm of subgrad 1070.645426 dualbound = 2403844.627324, lowerbound=1144768.627324, norm of subgrad 41.185791 stepsize= 1.000000
+dualbound = 2404082.837879, lowerbound=1150452.837879, norm of subgrad 1073.269229 dualbound = 2404082.837879, lowerbound=1150452.837879, norm of subgrad 41.136487 stepsize= 1.000000
+dualbound = 2404300.239286, lowerbound=1144416.239286, norm of subgrad 1070.466365 dualbound = 2404300.239286, lowerbound=1144416.239286, norm of subgrad 41.223797 stepsize= 1.000000
+dualbound = 2404479.192792, lowerbound=1149754.192792, norm of subgrad 1072.922734 dualbound = 2404479.192792, lowerbound=1149754.192792, norm of subgrad 39.849134 stepsize= 1.000000
+dualbound = 2404721.901694, lowerbound=1147872.901694, norm of subgrad 1072.040532 dualbound = 2404721.901694, lowerbound=1147872.901694, norm of subgrad 40.505665 stepsize= 1.000000
+dualbound = 2404902.107825, lowerbound=1151159.107825, norm of subgrad 1073.605658 dualbound = 2404902.107825, lowerbound=1151159.107825, norm of subgrad 40.622729 stepsize= 1.000000
+dualbound = 2405100.874606, lowerbound=1147799.874606, norm of subgrad 1072.040519 dualbound = 2405100.874606, lowerbound=1147799.874606, norm of subgrad 40.862780 stepsize= 1.000000
+dualbound = 2405296.440576, lowerbound=1150057.440576, norm of subgrad 1073.109240 dualbound = 2405296.440576, lowerbound=1150057.440576, norm of subgrad 41.250042 stepsize= 1.000000
+dualbound = 2405503.279136, lowerbound=1146040.279136, norm of subgrad 1071.247534 dualbound = 2405503.279136, lowerbound=1146040.279136, norm of subgrad 41.687391 stepsize= 1.000000
+dualbound = 2405681.482671, lowerbound=1148932.482671, norm of subgrad 1072.584954 dualbound = 2405681.482671, lowerbound=1148932.482671, norm of subgrad 41.039049 stepsize= 1.000000
+dualbound = 2405910.647877, lowerbound=1151085.647877, norm of subgrad 1073.563993 dualbound = 2405910.647877, lowerbound=1151085.647877, norm of subgrad 41.026396 stepsize= 1.000000
+dualbound = 2406121.684352, lowerbound=1147664.684352, norm of subgrad 1071.997054 dualbound = 2406121.684352, lowerbound=1147664.684352, norm of subgrad 41.521518 stepsize= 1.000000
+dualbound = 2406291.971312, lowerbound=1148795.971312, norm of subgrad 1072.500336 dualbound = 2406291.971312, lowerbound=1148795.971312, norm of subgrad 40.389194 stepsize= 1.000000
+dualbound = 2406515.128249, lowerbound=1148407.128249, norm of subgrad 1072.333497 dualbound = 2406515.128249, lowerbound=1148407.128249, norm of subgrad 41.414453 stepsize= 1.000000
+dualbound = 2406723.163685, lowerbound=1146639.163685, norm of subgrad 1071.513959 dualbound = 2406723.163685, lowerbound=1146639.163685, norm of subgrad 41.364664 stepsize= 1.000000
+dualbound = 2406919.352747, lowerbound=1149102.352747, norm of subgrad 1072.689309 dualbound = 2406919.352747, lowerbound=1149102.352747, norm of subgrad 41.906909 stepsize= 1.000000
+dualbound = 2407098.073902, lowerbound=1150121.073902, norm of subgrad 1073.113262 dualbound = 2407098.073902, lowerbound=1150121.073902, norm of subgrad 40.369805 stepsize= 1.000000
+dualbound = 2407337.048459, lowerbound=1148111.048459, norm of subgrad 1072.187506 dualbound = 2407337.048459, lowerbound=1148111.048459, norm of subgrad 41.400176 stepsize= 1.000000
+dualbound = 2407510.078798, lowerbound=1147406.078798, norm of subgrad 1071.870365 dualbound = 2407510.078798, lowerbound=1147406.078798, norm of subgrad 40.902694 stepsize= 1.000000
+dualbound = 2407726.171004, lowerbound=1150345.171004, norm of subgrad 1073.248420 dualbound = 2407726.171004, lowerbound=1150345.171004, norm of subgrad 41.630424 stepsize= 1.000000
+dualbound = 2407914.001964, lowerbound=1147528.001964, norm of subgrad 1071.916975 dualbound = 2407914.001964, lowerbound=1147528.001964, norm of subgrad 40.814592 stepsize= 1.000000
+dualbound = 2408138.692493, lowerbound=1148431.692493, norm of subgrad 1072.361270 dualbound = 2408138.692493, lowerbound=1148431.692493, norm of subgrad 41.853202 stepsize= 1.000000
+dualbound = 2408309.869912, lowerbound=1148746.869912, norm of subgrad 1072.506816 dualbound = 2408309.869912, lowerbound=1148746.869912, norm of subgrad 41.172532 stepsize= 1.000000
+dualbound = 2408520.128308, lowerbound=1150802.128308, norm of subgrad 1073.478052 dualbound = 2408520.128308, lowerbound=1150802.128308, norm of subgrad 41.991170 stepsize= 1.000000
+dualbound = 2408718.363876, lowerbound=1144726.363876, norm of subgrad 1070.663049 dualbound = 2408718.363876, lowerbound=1144726.363876, norm of subgrad 42.322991 stepsize= 1.000000
+dualbound = 2408907.719451, lowerbound=1151972.719451, norm of subgrad 1074.024543 dualbound = 2408907.719451, lowerbound=1151972.719451, norm of subgrad 41.777453 stepsize= 1.000000
+dualbound = 2409130.163257, lowerbound=1147909.163257, norm of subgrad 1072.083562 dualbound = 2409130.163257, lowerbound=1147909.163257, norm of subgrad 40.944399 stepsize= 1.000000
+dualbound = 2409372.358675, lowerbound=1148874.358675, norm of subgrad 1072.547602 dualbound = 2409372.358675, lowerbound=1148874.358675, norm of subgrad 41.547508 stepsize= 1.000000
+dualbound = 2409518.276256, lowerbound=1147848.276256, norm of subgrad 1072.093875 dualbound = 2409518.276256, lowerbound=1147848.276256, norm of subgrad 41.023378 stepsize= 1.000000
+dualbound = 2409733.930114, lowerbound=1147058.930114, norm of subgrad 1071.700952 dualbound = 2409733.930114, lowerbound=1147058.930114, norm of subgrad 41.226858 stepsize= 1.000000
+dualbound = 2409948.639999, lowerbound=1147852.639999, norm of subgrad 1072.082385 dualbound = 2409948.639999, lowerbound=1147852.639999, norm of subgrad 41.505540 stepsize= 1.000000
+dualbound = 2410152.945658, lowerbound=1149740.945658, norm of subgrad 1072.930075 dualbound = 2410152.945658, lowerbound=1149740.945658, norm of subgrad 40.525371 stepsize= 1.000000
+dualbound = 2410369.648606, lowerbound=1151911.648606, norm of subgrad 1073.952815 dualbound = 2410369.648606, lowerbound=1151911.648606, norm of subgrad 40.984179 stepsize= 1.000000
+dualbound = 2410557.543828, lowerbound=1147218.543828, norm of subgrad 1071.757222 dualbound = 2410557.543828, lowerbound=1147218.543828, norm of subgrad 40.409098 stepsize= 1.000000
+dualbound = 2410768.969322, lowerbound=1147604.969322, norm of subgrad 1071.982728 dualbound = 2410768.969322, lowerbound=1147604.969322, norm of subgrad 41.873924 stepsize= 1.000000
+dualbound = 2410949.362905, lowerbound=1152595.362905, norm of subgrad 1074.276670 dualbound = 2410949.362905, lowerbound=1152595.362905, norm of subgrad 40.686528 stepsize= 1.000000
+dualbound = 2411196.179506, lowerbound=1147729.179506, norm of subgrad 1071.986091 dualbound = 2411196.179506, lowerbound=1147729.179506, norm of subgrad 40.887854 stepsize= 1.000000
+dualbound = 2411359.606244, lowerbound=1148898.606244, norm of subgrad 1072.561237 dualbound = 2411359.606244, lowerbound=1148898.606244, norm of subgrad 40.650052 stepsize= 1.000000
+dualbound = 2411589.597397, lowerbound=1150706.597397, norm of subgrad 1073.391167 dualbound = 2411589.597397, lowerbound=1150706.597397, norm of subgrad 41.133820 stepsize= 1.000000
+dualbound = 2411755.941664, lowerbound=1145426.941664, norm of subgrad 1070.956555 dualbound = 2411755.941664, lowerbound=1145426.941664, norm of subgrad 41.077296 stepsize= 1.000000
+dualbound = 2411971.610803, lowerbound=1145625.610803, norm of subgrad 1071.021760 dualbound = 2411971.610803, lowerbound=1145625.610803, norm of subgrad 40.959360 stepsize= 1.000000
+dualbound = 2412187.483031, lowerbound=1150651.483031, norm of subgrad 1073.376673 dualbound = 2412187.483031, lowerbound=1150651.483031, norm of subgrad 41.253754 stepsize= 1.000000
+dualbound = 2412375.691349, lowerbound=1150767.691349, norm of subgrad 1073.470396 dualbound = 2412375.691349, lowerbound=1150767.691349, norm of subgrad 41.942917 stepsize= 1.000000
+dualbound = 2412549.498861, lowerbound=1147768.498861, norm of subgrad 1072.050138 dualbound = 2412549.498861, lowerbound=1147768.498861, norm of subgrad 41.192323 stepsize= 1.000000
+dualbound = 2412789.926432, lowerbound=1144373.926432, norm of subgrad 1070.463884 dualbound = 2412789.926432, lowerbound=1144373.926432, norm of subgrad 41.945531 stepsize= 1.000000
+dualbound = 2412968.546842, lowerbound=1150657.546842, norm of subgrad 1073.420955 dualbound = 2412968.546842, lowerbound=1150657.546842, norm of subgrad 41.876251 stepsize= 1.000000
+dualbound = 2413159.406696, lowerbound=1147337.406696, norm of subgrad 1071.817805 dualbound = 2413159.406696, lowerbound=1147337.406696, norm of subgrad 40.581521 stepsize= 1.000000
+dualbound = 2413417.225347, lowerbound=1150749.225347, norm of subgrad 1073.400776 dualbound = 2413417.225347, lowerbound=1150749.225347, norm of subgrad 41.204595 stepsize= 1.000000
+dualbound = 2413612.527030, lowerbound=1145807.527030, norm of subgrad 1071.117887 dualbound = 2413612.527030, lowerbound=1145807.527030, norm of subgrad 41.003679 stepsize= 1.000000
+dualbound = 2413780.073082, lowerbound=1153088.073082, norm of subgrad 1074.548311 dualbound = 2413780.073082, lowerbound=1153088.073082, norm of subgrad 41.635875 stepsize= 1.000000
+dualbound = 2413966.605707, lowerbound=1146896.605707, norm of subgrad 1071.660677 dualbound = 2413966.605707, lowerbound=1146896.605707, norm of subgrad 41.791538 stepsize= 1.000000
+dualbound = 2414173.729480, lowerbound=1149097.729480, norm of subgrad 1072.674102 dualbound = 2414173.729480, lowerbound=1149097.729480, norm of subgrad 41.702803 stepsize= 1.000000
+dualbound = 2414392.636047, lowerbound=1149073.636047, norm of subgrad 1072.652617 dualbound = 2414392.636047, lowerbound=1149073.636047, norm of subgrad 41.580122 stepsize= 1.000000
+dualbound = 2414592.732673, lowerbound=1156159.732673, norm of subgrad 1075.958053 dualbound = 2414592.732673, lowerbound=1156159.732673, norm of subgrad 41.546319 stepsize= 1.000000
+dualbound = 2414786.062362, lowerbound=1149462.062362, norm of subgrad 1072.822009 dualbound = 2414786.062362, lowerbound=1149462.062362, norm of subgrad 40.967422 stepsize= 1.000000
+dualbound = 2415013.170786, lowerbound=1150586.170786, norm of subgrad 1073.343920 dualbound = 2415013.170786, lowerbound=1150586.170786, norm of subgrad 41.329268 stepsize= 1.000000
+dualbound = 2415191.326650, lowerbound=1143726.326650, norm of subgrad 1070.142666 dualbound = 2415191.326650, lowerbound=1143726.326650, norm of subgrad 40.708179 stepsize= 1.000000
+dualbound = 2415419.029492, lowerbound=1151732.029492, norm of subgrad 1073.859874 dualbound = 2415419.029492, lowerbound=1151732.029492, norm of subgrad 40.874232 stepsize= 1.000000
+dualbound = 2415611.076137, lowerbound=1145843.076137, norm of subgrad 1071.127479 dualbound = 2415611.076137, lowerbound=1145843.076137, norm of subgrad 40.780469 stepsize= 1.000000
+dualbound = 2415801.196100, lowerbound=1152256.196100, norm of subgrad 1074.136489 dualbound = 2415801.196100, lowerbound=1152256.196100, norm of subgrad 41.268874 stepsize= 1.000000
+dualbound = 2416009.406272, lowerbound=1148276.406272, norm of subgrad 1072.274874 dualbound = 2416009.406272, lowerbound=1148276.406272, norm of subgrad 41.294191 stepsize= 1.000000
+dualbound = 2416220.315043, lowerbound=1154225.315043, norm of subgrad 1075.050378 dualbound = 2416220.315043, lowerbound=1154225.315043, norm of subgrad 41.459725 stepsize= 1.000000
+dualbound = 2416412.956404, lowerbound=1147046.956404, norm of subgrad 1071.724758 dualbound = 2416412.956404, lowerbound=1147046.956404, norm of subgrad 41.709008 stepsize= 1.000000
+dualbound = 2416597.565212, lowerbound=1151875.565212, norm of subgrad 1073.980710 dualbound = 2416597.565212, lowerbound=1151875.565212, norm of subgrad 41.756542 stepsize= 1.000000
+dualbound = 2416823.428634, lowerbound=1143002.428634, norm of subgrad 1069.829159 dualbound = 2416823.428634, lowerbound=1143002.428634, norm of subgrad 41.926882 stepsize= 1.000000
+dualbound = 2417003.151729, lowerbound=1151137.151729, norm of subgrad 1073.612664 dualbound = 2417003.151729, lowerbound=1151137.151729, norm of subgrad 41.069735 stepsize= 1.000000
+dualbound = 2417239.877434, lowerbound=1147440.877434, norm of subgrad 1071.889396 dualbound = 2417239.877434, lowerbound=1147440.877434, norm of subgrad 41.745966 stepsize= 1.000000
+dualbound = 2417415.139291, lowerbound=1150210.139291, norm of subgrad 1073.185044 dualbound = 2417415.139291, lowerbound=1150210.139291, norm of subgrad 41.124954 stepsize= 1.000000
+dualbound = 2417626.657411, lowerbound=1148101.657411, norm of subgrad 1072.212506 dualbound = 2417626.657411, lowerbound=1148101.657411, norm of subgrad 41.827241 stepsize= 1.000000
+dualbound = 2417803.590787, lowerbound=1151689.590787, norm of subgrad 1073.878760 dualbound = 2417803.590787, lowerbound=1151689.590787, norm of subgrad 41.266613 stepsize= 1.000000
+dualbound = 2418015.861237, lowerbound=1145570.861237, norm of subgrad 1071.027012 dualbound = 2418015.861237, lowerbound=1145570.861237, norm of subgrad 41.716549 stepsize= 1.000000
+dualbound = 2418224.006264, lowerbound=1153712.006264, norm of subgrad 1074.799519 dualbound = 2418224.006264, lowerbound=1153712.006264, norm of subgrad 41.111373 stepsize= 1.000000
+dualbound = 2418436.640612, lowerbound=1151564.640612, norm of subgrad 1073.815459 dualbound = 2418436.640612, lowerbound=1151564.640612, norm of subgrad 41.564821 stepsize= 1.000000
+dualbound = 2418623.473209, lowerbound=1148814.473209, norm of subgrad 1072.529940 dualbound = 2418623.473209, lowerbound=1148814.473209, norm of subgrad 41.144047 stepsize= 1.000000
+dualbound = 2418846.545432, lowerbound=1146810.545432, norm of subgrad 1071.592061 dualbound = 2418846.545432, lowerbound=1146810.545432, norm of subgrad 41.497858 stepsize= 1.000000
+dualbound = 2419024.861069, lowerbound=1152135.861069, norm of subgrad 1074.069300 dualbound = 2419024.861069, lowerbound=1152135.861069, norm of subgrad 40.832777 stepsize= 1.000000
+dualbound = 2419234.040074, lowerbound=1148101.040074, norm of subgrad 1072.192632 dualbound = 2419234.040074, lowerbound=1148101.040074, norm of subgrad 41.293813 stepsize= 1.000000
+dualbound = 2419433.890610, lowerbound=1150454.890610, norm of subgrad 1073.319566 dualbound = 2419433.890610, lowerbound=1150454.890610, norm of subgrad 41.950573 stepsize= 1.000000
+dualbound = 2419627.860346, lowerbound=1146621.860346, norm of subgrad 1071.504951 dualbound = 2419627.860346, lowerbound=1146621.860346, norm of subgrad 41.170010 stepsize= 1.000000
+dualbound = 2419857.698164, lowerbound=1152454.698164, norm of subgrad 1074.259139 dualbound = 2419857.698164, lowerbound=1152454.698164, norm of subgrad 42.518676 stepsize= 1.000000
+dualbound = 2420015.629691, lowerbound=1145603.629691, norm of subgrad 1071.057249 dualbound = 2420015.629691, lowerbound=1145603.629691, norm of subgrad 41.447938 stepsize= 1.000000
+dualbound = 2420271.535612, lowerbound=1155148.535612, norm of subgrad 1075.463405 dualbound = 2420271.535612, lowerbound=1155148.535612, norm of subgrad 41.580114 stepsize= 1.000000
+dualbound = 2420463.577997, lowerbound=1148110.577997, norm of subgrad 1072.172830 dualbound = 2420463.577997, lowerbound=1148110.577997, norm of subgrad 40.448021 stepsize= 1.000000
+dualbound = 2420664.152534, lowerbound=1152397.152534, norm of subgrad 1074.199308 dualbound = 2420664.152534, lowerbound=1152397.152534, norm of subgrad 41.322809 stepsize= 1.000000
+dualbound = 2420832.086105, lowerbound=1146191.086105, norm of subgrad 1071.300185 dualbound = 2420832.086105, lowerbound=1146191.086105, norm of subgrad 40.754553 stepsize= 1.000000
+dualbound = 2421072.032303, lowerbound=1150494.032303, norm of subgrad 1073.299135 dualbound = 2421072.032303, lowerbound=1150494.032303, norm of subgrad 41.436049 stepsize= 1.000000
+dualbound = 2421268.319360, lowerbound=1150583.319360, norm of subgrad 1073.337468 dualbound = 2421268.319360, lowerbound=1150583.319360, norm of subgrad 40.820180 stepsize= 1.000000
+dualbound = 2421449.183388, lowerbound=1151916.183388, norm of subgrad 1073.997292 dualbound = 2421449.183388, lowerbound=1151916.183388, norm of subgrad 41.651699 stepsize= 1.000000
+dualbound = 2421635.286073, lowerbound=1147491.286073, norm of subgrad 1071.924571 dualbound = 2421635.286073, lowerbound=1147491.286073, norm of subgrad 41.437938 stepsize= 1.000000
+dualbound = 2421871.886413, lowerbound=1150195.886413, norm of subgrad 1073.167688 dualbound = 2421871.886413, lowerbound=1150195.886413, norm of subgrad 41.588464 stepsize= 1.000000
+dualbound = 2422074.996643, lowerbound=1152271.996643, norm of subgrad 1074.150826 dualbound = 2422074.996643, lowerbound=1152271.996643, norm of subgrad 41.606613 stepsize= 1.000000
+dualbound = 2422255.664578, lowerbound=1152369.664578, norm of subgrad 1074.204201 dualbound = 2422255.664578, lowerbound=1152369.664578, norm of subgrad 41.541160 stepsize= 1.000000
+dualbound = 2422475.617051, lowerbound=1147761.617051, norm of subgrad 1072.038067 dualbound = 2422475.617051, lowerbound=1147761.617051, norm of subgrad 41.520507 stepsize= 1.000000
+dualbound = 2422669.804910, lowerbound=1149511.804910, norm of subgrad 1072.836336 dualbound = 2422669.804910, lowerbound=1149511.804910, norm of subgrad 40.745403 stepsize= 1.000000
+dualbound = 2422911.167901, lowerbound=1148597.167901, norm of subgrad 1072.448212 dualbound = 2422911.167901, lowerbound=1148597.167901, norm of subgrad 42.300863 stepsize= 1.000000
+dualbound = 2423055.156486, lowerbound=1153570.156486, norm of subgrad 1074.760976 dualbound = 2423055.156486, lowerbound=1153570.156486, norm of subgrad 41.048612 stepsize= 1.000000
+dualbound = 2423278.865185, lowerbound=1147158.865185, norm of subgrad 1071.742443 dualbound = 2423278.865185, lowerbound=1147158.865185, norm of subgrad 41.191124 stepsize= 1.000000
+dualbound = 2423508.261637, lowerbound=1152390.261637, norm of subgrad 1074.180740 dualbound = 2423508.261637, lowerbound=1152390.261637, norm of subgrad 41.272224 stepsize= 1.000000
+dualbound = 2423675.678422, lowerbound=1148162.678422, norm of subgrad 1072.250287 dualbound = 2423675.678422, lowerbound=1148162.678422, norm of subgrad 41.538137 stepsize= 1.000000
+dualbound = 2423881.744533, lowerbound=1151046.744533, norm of subgrad 1073.588722 dualbound = 2423881.744533, lowerbound=1151046.744533, norm of subgrad 41.857689 stepsize= 1.000000
+dualbound = 2424063.129169, lowerbound=1146756.129169, norm of subgrad 1071.583002 dualbound = 2424063.129169, lowerbound=1146756.129169, norm of subgrad 41.417202 stepsize= 1.000000
+dualbound = 2424295.634928, lowerbound=1149605.634928, norm of subgrad 1072.896843 dualbound = 2424295.634928, lowerbound=1149605.634928, norm of subgrad 41.647398 stepsize= 1.000000
+dualbound = 2424493.571780, lowerbound=1154923.571780, norm of subgrad 1075.389033 dualbound = 2424493.571780, lowerbound=1154923.571780, norm of subgrad 41.664576 stepsize= 1.000000
+dualbound = 2424666.631261, lowerbound=1153960.631261, norm of subgrad 1074.931919 dualbound = 2424666.631261, lowerbound=1153960.631261, norm of subgrad 41.122494 stepsize= 1.000000
+dualbound = 2424875.337430, lowerbound=1146803.337430, norm of subgrad 1071.603162 dualbound = 2424875.337430, lowerbound=1146803.337430, norm of subgrad 41.697796 stepsize= 1.000000
+dualbound = 2425076.047176, lowerbound=1152474.047176, norm of subgrad 1074.221135 dualbound = 2425076.047176, lowerbound=1152474.047176, norm of subgrad 40.959855 stepsize= 1.000000
+dualbound = 2425304.201740, lowerbound=1150697.201740, norm of subgrad 1073.417534 dualbound = 2425304.201740, lowerbound=1150697.201740, norm of subgrad 41.906498 stepsize= 1.000000
+dualbound = 2425474.317775, lowerbound=1151445.317775, norm of subgrad 1073.791096 dualbound = 2425474.317775, lowerbound=1151445.317775, norm of subgrad 41.858285 stepsize= 1.000000
+dualbound = 2425672.935007, lowerbound=1146670.935007, norm of subgrad 1071.516185 dualbound = 2425672.935007, lowerbound=1146670.935007, norm of subgrad 40.922087 stepsize= 1.000000
+dualbound = 2425897.181573, lowerbound=1154380.181573, norm of subgrad 1075.109381 dualbound = 2425897.181573, lowerbound=1154380.181573, norm of subgrad 41.282521 stepsize= 1.000000
+dualbound = 2426091.707949, lowerbound=1146758.707949, norm of subgrad 1071.562274 dualbound = 2426091.707949, lowerbound=1146758.707949, norm of subgrad 41.006419 stepsize= 1.000000
+dualbound = 2426293.819202, lowerbound=1153129.819202, norm of subgrad 1074.544005 dualbound = 2426293.819202, lowerbound=1153129.819202, norm of subgrad 41.438041 stepsize= 1.000000
+dualbound = 2426494.739521, lowerbound=1148714.739521, norm of subgrad 1072.461067 dualbound = 2426494.739521, lowerbound=1148714.739521, norm of subgrad 40.729846 stepsize= 1.000000
+dualbound = 2426702.194347, lowerbound=1152768.194347, norm of subgrad 1074.363158 dualbound = 2426702.194347, lowerbound=1152768.194347, norm of subgrad 41.175901 stepsize= 1.000000
+dualbound = 2426881.540303, lowerbound=1147057.540303, norm of subgrad 1071.747890 dualbound = 2426881.540303, lowerbound=1147057.540303, norm of subgrad 42.016020 stepsize= 1.000000
+dualbound = 2427066.401675, lowerbound=1157441.401675, norm of subgrad 1076.566023 dualbound = 2427066.401675, lowerbound=1157441.401675, norm of subgrad 41.687665 stepsize= 1.000000
+dualbound = 2427294.566628, lowerbound=1148868.566628, norm of subgrad 1072.568211 dualbound = 2427294.566628, lowerbound=1148868.566628, norm of subgrad 41.978149 stepsize= 1.000000
+dualbound = 2427484.422485, lowerbound=1147919.422485, norm of subgrad 1072.115862 dualbound = 2427484.422485, lowerbound=1147919.422485, norm of subgrad 41.265674 stepsize= 1.000000
+dualbound = 2427665.127550, lowerbound=1151158.127550, norm of subgrad 1073.636870 dualbound = 2427665.127550, lowerbound=1151158.127550, norm of subgrad 41.457268 stepsize= 1.000000
+dualbound = 2427880.140260, lowerbound=1153058.140260, norm of subgrad 1074.505533 dualbound = 2427880.140260, lowerbound=1153058.140260, norm of subgrad 41.460978 stepsize= 1.000000
+dualbound = 2428099.011142, lowerbound=1147368.011142, norm of subgrad 1071.835814 dualbound = 2428099.011142, lowerbound=1147368.011142, norm of subgrad 41.022809 stepsize= 1.000000
+dualbound = 2428302.097835, lowerbound=1151564.097835, norm of subgrad 1073.789597 dualbound = 2428302.097835, lowerbound=1151564.097835, norm of subgrad 40.780960 stepsize= 1.000000
+dualbound = 2428511.309186, lowerbound=1151209.309186, norm of subgrad 1073.642543 dualbound = 2428511.309186, lowerbound=1151209.309186, norm of subgrad 41.330514 stepsize= 1.000000
+dualbound = 2428689.820539, lowerbound=1155924.820539, norm of subgrad 1075.842842 dualbound = 2428689.820539, lowerbound=1155924.820539, norm of subgrad 41.127987 stepsize= 1.000000
+dualbound = 2428882.725053, lowerbound=1149059.725053, norm of subgrad 1072.665710 dualbound = 2428882.725053, lowerbound=1149059.725053, norm of subgrad 41.772054 stepsize= 1.000000
+dualbound = 2429065.882073, lowerbound=1150144.882073, norm of subgrad 1073.186322 dualbound = 2429065.882073, lowerbound=1150144.882073, norm of subgrad 42.037567 stepsize= 1.000000
+dualbound = 2429275.864044, lowerbound=1148678.864044, norm of subgrad 1072.468118 dualbound = 2429275.864044, lowerbound=1148678.864044, norm of subgrad 41.460607 stepsize= 1.000000
+dualbound = 2429503.872639, lowerbound=1151791.872639, norm of subgrad 1073.908689 dualbound = 2429503.872639, lowerbound=1151791.872639, norm of subgrad 41.424734 stepsize= 1.000000
+dualbound = 2429688.910607, lowerbound=1151705.910607, norm of subgrad 1073.891014 dualbound = 2429688.910607, lowerbound=1151705.910607, norm of subgrad 41.485395 stepsize= 1.000000
+dualbound = 2429898.854022, lowerbound=1153327.854022, norm of subgrad 1074.638011 dualbound = 2429898.854022, lowerbound=1153327.854022, norm of subgrad 41.580565 stepsize= 1.000000
+dualbound = 2430075.085593, lowerbound=1148639.085593, norm of subgrad 1072.461228 dualbound = 2430075.085593, lowerbound=1148639.085593, norm of subgrad 41.354946 stepsize= 1.000000
+dualbound = 2430273.888599, lowerbound=1150575.888599, norm of subgrad 1073.345186 dualbound = 2430273.888599, lowerbound=1150575.888599, norm of subgrad 41.143687 stepsize= 1.000000
+dualbound = 2430503.095909, lowerbound=1151231.095909, norm of subgrad 1073.632663 dualbound = 2430503.095909, lowerbound=1151231.095909, norm of subgrad 41.051277 stepsize= 1.000000
+dualbound = 2430706.750618, lowerbound=1150288.750618, norm of subgrad 1073.244497 dualbound = 2430706.750618, lowerbound=1150288.750618, norm of subgrad 42.055377 stepsize= 1.000000
+dualbound = 2430857.774420, lowerbound=1151029.774420, norm of subgrad 1073.617145 dualbound = 2430857.774420, lowerbound=1151029.774420, norm of subgrad 42.131031 stepsize= 1.000000
+dualbound = 2431095.023663, lowerbound=1149586.023663, norm of subgrad 1072.875586 dualbound = 2431095.023663, lowerbound=1149586.023663, norm of subgrad 41.391415 stepsize= 1.000000
+dualbound = 2431299.258344, lowerbound=1154281.258344, norm of subgrad 1075.074536 dualbound = 2431299.258344, lowerbound=1154281.258344, norm of subgrad 41.330796 stepsize= 1.000000
+dualbound = 2431482.947238, lowerbound=1152935.947238, norm of subgrad 1074.478919 dualbound = 2431482.947238, lowerbound=1152935.947238, norm of subgrad 41.865127 stepsize= 1.000000
+dualbound = 2431695.006434, lowerbound=1149539.006434, norm of subgrad 1072.883035 dualbound = 2431695.006434, lowerbound=1149539.006434, norm of subgrad 41.845659 stepsize= 1.000000
+dualbound = 2431914.371123, lowerbound=1150612.371123, norm of subgrad 1073.354262 dualbound = 2431914.371123, lowerbound=1150612.371123, norm of subgrad 41.186948 stepsize= 1.000000
+dualbound = 2432105.242506, lowerbound=1152040.242506, norm of subgrad 1074.036425 dualbound = 2432105.242506, lowerbound=1152040.242506, norm of subgrad 41.290088 stepsize= 1.000000
+dualbound = 2432288.210618, lowerbound=1152584.210618, norm of subgrad 1074.314298 dualbound = 2432288.210618, lowerbound=1152584.210618, norm of subgrad 41.832620 stepsize= 1.000000
+dualbound = 2432477.903151, lowerbound=1152573.903151, norm of subgrad 1074.302519 dualbound = 2432477.903151, lowerbound=1152573.903151, norm of subgrad 41.733590 stepsize= 1.000000
+dualbound = 2432684.613581, lowerbound=1151483.613581, norm of subgrad 1073.779593 dualbound = 2432684.613581, lowerbound=1151483.613581, norm of subgrad 41.541671 stepsize= 1.000000
+dualbound = 2432890.436463, lowerbound=1153736.436463, norm of subgrad 1074.815071 dualbound = 2432890.436463, lowerbound=1153736.436463, norm of subgrad 41.192510 stepsize= 1.000000
+dualbound = 2433097.416341, lowerbound=1150246.416341, norm of subgrad 1073.176321 dualbound = 2433097.416341, lowerbound=1150246.416341, norm of subgrad 40.840909 stepsize= 1.000000
+dualbound = 2433299.681011, lowerbound=1146232.681011, norm of subgrad 1071.300929 dualbound = 2433299.681011, lowerbound=1146232.681011, norm of subgrad 40.684944 stepsize= 1.000000
+dualbound = 2433519.720125, lowerbound=1150826.720125, norm of subgrad 1073.418241 dualbound = 2433519.720125, lowerbound=1150826.720125, norm of subgrad 40.249709 stepsize= 1.000000
+dualbound = 2433707.930769, lowerbound=1155333.930769, norm of subgrad 1075.522631 dualbound = 2433707.930769, lowerbound=1155333.930769, norm of subgrad 40.040113 stepsize= 1.000000
+dualbound = 2433915.040143, lowerbound=1146839.040143, norm of subgrad 1071.591825 dualbound = 2433915.040143, lowerbound=1146839.040143, norm of subgrad 40.952526 stepsize= 1.000000
+dualbound = 2434087.526235, lowerbound=1153487.526235, norm of subgrad 1074.702994 dualbound = 2434087.526235, lowerbound=1153487.526235, norm of subgrad 40.883812 stepsize= 1.000000
+dualbound = 2434290.330607, lowerbound=1155240.330607, norm of subgrad 1075.547921 dualbound = 2434290.330607, lowerbound=1155240.330607, norm of subgrad 42.021475 stepsize= 1.000000
+dualbound = 2434456.016448, lowerbound=1154114.016448, norm of subgrad 1075.037681 dualbound = 2434456.016448, lowerbound=1154114.016448, norm of subgrad 41.924764 stepsize= 1.000000
+dualbound = 2434680.762650, lowerbound=1151596.762650, norm of subgrad 1073.831813 dualbound = 2434680.762650, lowerbound=1151596.762650, norm of subgrad 41.746212 stepsize= 1.000000
+dualbound = 2434886.854644, lowerbound=1153117.854644, norm of subgrad 1074.536111 dualbound = 2434886.854644, lowerbound=1153117.854644, norm of subgrad 41.425741 stepsize= 1.000000
+dualbound = 2435068.417407, lowerbound=1155157.417407, norm of subgrad 1075.506122 dualbound = 2435068.417407, lowerbound=1155157.417407, norm of subgrad 41.684083 stepsize= 1.000000
+dualbound = 2435255.677047, lowerbound=1148338.677047, norm of subgrad 1072.320697 dualbound = 2435255.677047, lowerbound=1148338.677047, norm of subgrad 41.476013 stepsize= 1.000000
+dualbound = 2435467.644024, lowerbound=1151361.644024, norm of subgrad 1073.744217 dualbound = 2435467.644024, lowerbound=1151361.644024, norm of subgrad 42.154086 stepsize= 1.000000
+dualbound = 2435680.265295, lowerbound=1149618.265295, norm of subgrad 1072.914379 dualbound = 2435680.265295, lowerbound=1149618.265295, norm of subgrad 41.708767 stepsize= 1.000000
+dualbound = 2435869.358233, lowerbound=1152758.358233, norm of subgrad 1074.391157 dualbound = 2435869.358233, lowerbound=1152758.358233, norm of subgrad 41.798241 stepsize= 1.000000
+dualbound = 2436062.558910, lowerbound=1154136.558910, norm of subgrad 1075.005841 dualbound = 2436062.558910, lowerbound=1154136.558910, norm of subgrad 41.160669 stepsize= 1.000000
+dualbound = 2436294.223721, lowerbound=1153839.223721, norm of subgrad 1074.862421 dualbound = 2436294.223721, lowerbound=1153839.223721, norm of subgrad 41.492949 stepsize= 1.000000
+dualbound = 2436448.503025, lowerbound=1152491.503025, norm of subgrad 1074.259979 dualbound = 2436448.503025, lowerbound=1152491.503025, norm of subgrad 41.198050 stepsize= 1.000000
+dualbound = 2436703.820815, lowerbound=1148380.820815, norm of subgrad 1072.322163 dualbound = 2436703.820815, lowerbound=1148380.820815, norm of subgrad 41.824847 stepsize= 1.000000
+dualbound = 2436851.486163, lowerbound=1154278.486163, norm of subgrad 1075.075572 dualbound = 2436851.486163, lowerbound=1154278.486163, norm of subgrad 40.702154 stepsize= 1.000000
+dualbound = 2437099.512302, lowerbound=1153651.512302, norm of subgrad 1074.768120 dualbound = 2437099.512302, lowerbound=1153651.512302, norm of subgrad 41.509350 stepsize= 1.000000
+dualbound = 2437265.932075, lowerbound=1149396.932075, norm of subgrad 1072.777671 dualbound = 2437265.932075, lowerbound=1149396.932075, norm of subgrad 40.266857 stepsize= 1.000000
+dualbound = 2437496.912387, lowerbound=1154443.912387, norm of subgrad 1075.134835 dualbound = 2437496.912387, lowerbound=1154443.912387, norm of subgrad 41.255064 stepsize= 1.000000
+dualbound = 2437679.768746, lowerbound=1151389.768746, norm of subgrad 1073.722855 dualbound = 2437679.768746, lowerbound=1151389.768746, norm of subgrad 40.912790 stepsize= 1.000000
+dualbound = 2437885.033513, lowerbound=1152545.033513, norm of subgrad 1074.270000 dualbound = 2437885.033513, lowerbound=1152545.033513, norm of subgrad 41.427826 stepsize= 1.000000
+dualbound = 2438074.553878, lowerbound=1150244.553878, norm of subgrad 1073.169397 dualbound = 2438074.553878, lowerbound=1150244.553878, norm of subgrad 40.466287 stepsize= 1.000000
+dualbound = 2438298.506430, lowerbound=1151936.506430, norm of subgrad 1073.980683 dualbound = 2438298.506430, lowerbound=1151936.506430, norm of subgrad 41.496416 stepsize= 1.000000
+dualbound = 2438464.416434, lowerbound=1150078.416434, norm of subgrad 1073.144173 dualbound = 2438464.416434, lowerbound=1150078.416434, norm of subgrad 41.544073 stepsize= 1.000000
+dualbound = 2438649.716787, lowerbound=1153150.716787, norm of subgrad 1074.552799 dualbound = 2438649.716787, lowerbound=1153150.716787, norm of subgrad 41.210440 stepsize= 1.000000
+dualbound = 2438881.596933, lowerbound=1151649.596933, norm of subgrad 1073.823355 dualbound = 2438881.596933, lowerbound=1151649.596933, norm of subgrad 40.974140 stepsize= 1.000000
+dualbound = 2439079.009087, lowerbound=1153304.009087, norm of subgrad 1074.607374 dualbound = 2439079.009087, lowerbound=1153304.009087, norm of subgrad 40.919582 stepsize= 1.000000
+dualbound = 2439285.345930, lowerbound=1153774.345930, norm of subgrad 1074.857361 dualbound = 2439285.345930, lowerbound=1153774.345930, norm of subgrad 41.837027 stepsize= 1.000000
+dualbound = 2439434.430636, lowerbound=1153096.430636, norm of subgrad 1074.552665 dualbound = 2439434.430636, lowerbound=1153096.430636, norm of subgrad 41.425653 stepsize= 1.000000
+dualbound = 2439655.032131, lowerbound=1151059.032131, norm of subgrad 1073.600034 dualbound = 2439655.032131, lowerbound=1151059.032131, norm of subgrad 42.173469 stepsize= 1.000000
+dualbound = 2439841.915977, lowerbound=1158039.915977, norm of subgrad 1076.850926 dualbound = 2439841.915977, lowerbound=1158039.915977, norm of subgrad 41.891334 stepsize= 1.000000
+dualbound = 2440035.446112, lowerbound=1150873.446112, norm of subgrad 1073.512201 dualbound = 2440035.446112, lowerbound=1150873.446112, norm of subgrad 41.815429 stepsize= 1.000000
+dualbound = 2440260.267092, lowerbound=1154095.267092, norm of subgrad 1074.961054 dualbound = 2440260.267092, lowerbound=1154095.267092, norm of subgrad 40.875677 stepsize= 1.000000
+dualbound = 2440502.639805, lowerbound=1148329.639805, norm of subgrad 1072.262859 dualbound = 2440502.639805, lowerbound=1148329.639805, norm of subgrad 40.747671 stepsize= 1.000000
+dualbound = 2440658.264236, lowerbound=1155007.264236, norm of subgrad 1075.427480 dualbound = 2440658.264236, lowerbound=1155007.264236, norm of subgrad 41.141517 stepsize= 1.000000
+dualbound = 2440828.313659, lowerbound=1151589.313659, norm of subgrad 1073.823223 dualbound = 2440828.313659, lowerbound=1151589.313659, norm of subgrad 40.951794 stepsize= 1.000000
+dualbound = 2441055.951669, lowerbound=1157251.951669, norm of subgrad 1076.451091 dualbound = 2441055.951669, lowerbound=1157251.951669, norm of subgrad 41.504675 stepsize= 1.000000
+dualbound = 2441234.827952, lowerbound=1152383.827952, norm of subgrad 1074.192640 dualbound = 2441234.827952, lowerbound=1152383.827952, norm of subgrad 41.047245 stepsize= 1.000000
+dualbound = 2441468.119013, lowerbound=1155965.119013, norm of subgrad 1075.839727 dualbound = 2441468.119013, lowerbound=1155965.119013, norm of subgrad 41.222458 stepsize= 1.000000
+dualbound = 2441633.870401, lowerbound=1151047.870401, norm of subgrad 1073.560371 dualbound = 2441633.870401, lowerbound=1151047.870401, norm of subgrad 40.617132 stepsize= 1.000000
+dualbound = 2441855.181877, lowerbound=1155490.181877, norm of subgrad 1075.648261 dualbound = 2441855.181877, lowerbound=1155490.181877, norm of subgrad 41.836724 stepsize= 1.000000
+dualbound = 2442023.058579, lowerbound=1153481.058579, norm of subgrad 1074.713012 dualbound = 2442023.058579, lowerbound=1153481.058579, norm of subgrad 41.168880 stepsize= 1.000000
+dualbound = 2442228.765616, lowerbound=1154415.765616, norm of subgrad 1075.162204 dualbound = 2442228.765616, lowerbound=1154415.765616, norm of subgrad 41.996512 stepsize= 1.000000
+dualbound = 2442414.245203, lowerbound=1149949.245203, norm of subgrad 1073.100762 dualbound = 2442414.245203, lowerbound=1149949.245203, norm of subgrad 42.207577 stepsize= 1.000000
+dualbound = 2442604.443677, lowerbound=1151682.443677, norm of subgrad 1073.898246 dualbound = 2442604.443677, lowerbound=1151682.443677, norm of subgrad 42.014265 stepsize= 1.000000
+dualbound = 2442830.329166, lowerbound=1156191.329166, norm of subgrad 1075.969948 dualbound = 2442830.329166, lowerbound=1156191.329166, norm of subgrad 41.783795 stepsize= 1.000000
+dualbound = 2443038.175911, lowerbound=1153132.175911, norm of subgrad 1074.531608 dualbound = 2443038.175911, lowerbound=1153132.175911, norm of subgrad 41.156369 stepsize= 1.000000
+dualbound = 2443214.432924, lowerbound=1152424.432924, norm of subgrad 1074.191991 dualbound = 2443214.432924, lowerbound=1152424.432924, norm of subgrad 40.500087 stepsize= 1.000000
+dualbound = 2443458.134028, lowerbound=1154948.134028, norm of subgrad 1075.374881 dualbound = 2443458.134028, lowerbound=1154948.134028, norm of subgrad 41.553593 stepsize= 1.000000
+dualbound = 2443604.701042, lowerbound=1151203.701042, norm of subgrad 1073.644122 dualbound = 2443604.701042, lowerbound=1151203.701042, norm of subgrad 40.676369 stepsize= 1.000000
+dualbound = 2443830.918550, lowerbound=1153878.918550, norm of subgrad 1074.833438 dualbound = 2443830.918550, lowerbound=1153878.918550, norm of subgrad 40.177326 stepsize= 1.000000
+dualbound = 2444057.596237, lowerbound=1148340.596237, norm of subgrad 1072.300143 dualbound = 2444057.596237, lowerbound=1148340.596237, norm of subgrad 41.396590 stepsize= 1.000000
+dualbound = 2444223.255505, lowerbound=1153717.255505, norm of subgrad 1074.796379 dualbound = 2444223.255505, lowerbound=1153717.255505, norm of subgrad 40.443285 stepsize= 1.000000
+dualbound = 2444428.092034, lowerbound=1150744.092034, norm of subgrad 1073.445896 dualbound = 2444428.092034, lowerbound=1150744.092034, norm of subgrad 41.795174 stepsize= 1.000000
+dualbound = 2444608.766968, lowerbound=1156982.766968, norm of subgrad 1076.326050 dualbound = 2444608.766968, lowerbound=1156982.766968, norm of subgrad 40.935009 stepsize= 1.000000
+dualbound = 2444806.974891, lowerbound=1153384.974891, norm of subgrad 1074.674823 dualbound = 2444806.974891, lowerbound=1153384.974891, norm of subgrad 41.703812 stepsize= 1.000000
+dualbound = 2445001.369048, lowerbound=1151526.369048, norm of subgrad 1073.788326 dualbound = 2445001.369048, lowerbound=1151526.369048, norm of subgrad 41.102240 stepsize= 1.000000
+dualbound = 2445182.001056, lowerbound=1154331.001056, norm of subgrad 1075.123249 dualbound = 2445182.001056, lowerbound=1154331.001056, norm of subgrad 41.708896 stepsize= 1.000000
+dualbound = 2445404.449919, lowerbound=1155496.449919, norm of subgrad 1075.614917 dualbound = 2445404.449919, lowerbound=1155496.449919, norm of subgrad 40.907809 stepsize= 1.000000
+dualbound = 2445613.691237, lowerbound=1155571.691237, norm of subgrad 1075.681501 dualbound = 2445613.691237, lowerbound=1155571.691237, norm of subgrad 41.572122 stepsize= 1.000000
+dualbound = 2445774.538043, lowerbound=1150623.538043, norm of subgrad 1073.398127 dualbound = 2445774.538043, lowerbound=1150623.538043, norm of subgrad 41.483091 stepsize= 1.000000
+dualbound = 2445993.573071, lowerbound=1152355.573071, norm of subgrad 1074.178557 dualbound = 2445993.573071, lowerbound=1152355.573071, norm of subgrad 41.509457 stepsize= 1.000000
+dualbound = 2446203.224105, lowerbound=1153165.224105, norm of subgrad 1074.549777 dualbound = 2446203.224105, lowerbound=1153165.224105, norm of subgrad 41.251073 stepsize= 1.000000
+dualbound = 2446391.015308, lowerbound=1154973.015308, norm of subgrad 1075.392959 dualbound = 2446391.015308, lowerbound=1154973.015308, norm of subgrad 41.046208 stepsize= 1.000000
+dualbound = 2446607.999183, lowerbound=1156487.999183, norm of subgrad 1076.100367 dualbound = 2446607.999183, lowerbound=1156487.999183, norm of subgrad 41.484743 stepsize= 1.000000
+dualbound = 2446782.417991, lowerbound=1152101.417991, norm of subgrad 1074.065370 dualbound = 2446782.417991, lowerbound=1152101.417991, norm of subgrad 41.102540 stepsize= 1.000000
+dualbound = 2446975.561918, lowerbound=1157088.561918, norm of subgrad 1076.375660 dualbound = 2446975.561918, lowerbound=1157088.561918, norm of subgrad 41.099196 stepsize= 1.000000
+dualbound = 2447174.853300, lowerbound=1151896.853300, norm of subgrad 1074.015760 dualbound = 2447174.853300, lowerbound=1151896.853300, norm of subgrad 42.571016 stepsize= 1.000000
+dualbound = 2447326.357918, lowerbound=1153430.357918, norm of subgrad 1074.733157 dualbound = 2447326.357918, lowerbound=1153430.357918, norm of subgrad 42.101124 stepsize= 1.000000
+dualbound = 2447567.239079, lowerbound=1154635.239079, norm of subgrad 1075.233574 dualbound = 2447567.239079, lowerbound=1154635.239079, norm of subgrad 41.627889 stepsize= 1.000000
+dualbound = 2447763.132604, lowerbound=1155166.132604, norm of subgrad 1075.492042 dualbound = 2447763.132604, lowerbound=1155166.132604, norm of subgrad 41.387118 stepsize= 1.000000
+dualbound = 2447945.180026, lowerbound=1159568.180026, norm of subgrad 1077.548690 dualbound = 2447945.180026, lowerbound=1159568.180026, norm of subgrad 41.533690 stepsize= 1.000000
+dualbound = 2448177.699765, lowerbound=1148580.699765, norm of subgrad 1072.414425 dualbound = 2448177.699765, lowerbound=1148580.699765, norm of subgrad 41.527337 stepsize= 1.000000
+dualbound = 2448344.955972, lowerbound=1157863.955972, norm of subgrad 1076.754826 dualbound = 2448344.955972, lowerbound=1157863.955972, norm of subgrad 41.282638 stepsize= 1.000000
+dualbound = 2448570.547782, lowerbound=1150302.547782, norm of subgrad 1073.191291 dualbound = 2448570.547782, lowerbound=1150302.547782, norm of subgrad 40.774892 stepsize= 1.000000
+dualbound = 2448768.134311, lowerbound=1154046.134311, norm of subgrad 1074.980062 dualbound = 2448768.134311, lowerbound=1154046.134311, norm of subgrad 41.636361 stepsize= 1.000000
+dualbound = 2448923.494515, lowerbound=1156043.494515, norm of subgrad 1075.908683 dualbound = 2448923.494515, lowerbound=1156043.494515, norm of subgrad 41.126150 stepsize= 1.000000
+dualbound = 2449139.659692, lowerbound=1153604.659692, norm of subgrad 1074.740275 dualbound = 2449139.659692, lowerbound=1153604.659692, norm of subgrad 40.965414 stepsize= 1.000000
+dualbound = 2449353.614399, lowerbound=1156946.614399, norm of subgrad 1076.288351 dualbound = 2449353.614399, lowerbound=1156946.614399, norm of subgrad 40.791601 stepsize= 1.000000
+dualbound = 2449552.630708, lowerbound=1153106.630708, norm of subgrad 1074.515998 dualbound = 2449552.630708, lowerbound=1153106.630708, norm of subgrad 40.951390 stepsize= 1.000000
+dualbound = 2449724.849087, lowerbound=1155711.849087, norm of subgrad 1075.764309 dualbound = 2449724.849087, lowerbound=1155711.849087, norm of subgrad 41.583872 stepsize= 1.000000
+dualbound = 2449893.219460, lowerbound=1154729.219460, norm of subgrad 1075.288435 dualbound = 2449893.219460, lowerbound=1154729.219460, norm of subgrad 41.041082 stepsize= 1.000000
+dualbound = 2450123.511398, lowerbound=1155411.511398, norm of subgrad 1075.606113 dualbound = 2450123.511398, lowerbound=1155411.511398, norm of subgrad 41.800621 stepsize= 1.000000
+dualbound = 2450295.219087, lowerbound=1157655.219087, norm of subgrad 1076.649070 dualbound = 2450295.219087, lowerbound=1157655.219087, norm of subgrad 41.106054 stepsize= 1.000000
+dualbound = 2450507.674069, lowerbound=1155292.674069, norm of subgrad 1075.556449 dualbound = 2450507.674069, lowerbound=1155292.674069, norm of subgrad 41.730744 stepsize= 1.000000
+dualbound = 2450690.414351, lowerbound=1154709.414351, norm of subgrad 1075.289456 dualbound = 2450690.414351, lowerbound=1154709.414351, norm of subgrad 41.481807 stepsize= 1.000000
+dualbound = 2450881.599913, lowerbound=1154206.599913, norm of subgrad 1075.066323 dualbound = 2450881.599913, lowerbound=1154206.599913, norm of subgrad 41.859116 stepsize= 1.000000
+dualbound = 2451090.248491, lowerbound=1153484.248491, norm of subgrad 1074.704726 dualbound = 2451090.248491, lowerbound=1153484.248491, norm of subgrad 41.408315 stepsize= 1.000000
+dualbound = 2451278.311319, lowerbound=1151518.311319, norm of subgrad 1073.767345 dualbound = 2451278.311319, lowerbound=1151518.311319, norm of subgrad 40.571700 stepsize= 1.000000
+dualbound = 2451510.505183, lowerbound=1152057.505183, norm of subgrad 1074.023512 dualbound = 2451510.505183, lowerbound=1152057.505183, norm of subgrad 41.245531 stepsize= 1.000000
+dualbound = 2451687.963697, lowerbound=1159057.963697, norm of subgrad 1077.284068 dualbound = 2451687.963697, lowerbound=1159057.963697, norm of subgrad 40.748724 stepsize= 1.000000
+dualbound = 2451867.353973, lowerbound=1156602.353973, norm of subgrad 1076.177659 dualbound = 2451867.353973, lowerbound=1156602.353973, norm of subgrad 41.658016 stepsize= 1.000000
+dualbound = 2452083.394621, lowerbound=1154015.394621, norm of subgrad 1074.945764 dualbound = 2452083.394621, lowerbound=1154015.394621, norm of subgrad 41.340545 stepsize= 1.000000
+dualbound = 2452248.213400, lowerbound=1155308.213400, norm of subgrad 1075.563672 dualbound = 2452248.213400, lowerbound=1155308.213400, norm of subgrad 41.156030 stepsize= 1.000000
+dualbound = 2452465.186101, lowerbound=1155472.186101, norm of subgrad 1075.624091 dualbound = 2452465.186101, lowerbound=1155472.186101, norm of subgrad 41.375992 stepsize= 1.000000
+dualbound = 2452644.980757, lowerbound=1154745.980757, norm of subgrad 1075.275770 dualbound = 2452644.980757, lowerbound=1154745.980757, norm of subgrad 40.642277 stepsize= 1.000000
+dualbound = 2452851.027681, lowerbound=1152323.027681, norm of subgrad 1074.164805 dualbound = 2452851.027681, lowerbound=1152323.027681, norm of subgrad 41.388971 stepsize= 1.000000
+dualbound = 2453038.717746, lowerbound=1157051.717746, norm of subgrad 1076.390597 dualbound = 2453038.717746, lowerbound=1157051.717746, norm of subgrad 41.865141 stepsize= 1.000000
+dualbound = 2453221.110373, lowerbound=1155351.110373, norm of subgrad 1075.577571 dualbound = 2453221.110373, lowerbound=1155351.110373, norm of subgrad 41.211559 stepsize= 1.000000
+dualbound = 2453439.920984, lowerbound=1150575.920984, norm of subgrad 1073.345201 dualbound = 2453439.920984, lowerbound=1150575.920984, norm of subgrad 41.386116 stepsize= 1.000000
+dualbound = 2453631.603878, lowerbound=1156674.603878, norm of subgrad 1076.217731 dualbound = 2453631.603878, lowerbound=1156674.603878, norm of subgrad 41.972406 stepsize= 1.000000
+dualbound = 2453806.026622, lowerbound=1156178.026622, norm of subgrad 1075.970272 dualbound = 2453806.026622, lowerbound=1156178.026622, norm of subgrad 41.333071 stepsize= 1.000000
+dualbound = 2454025.571165, lowerbound=1156834.571165, norm of subgrad 1076.256276 dualbound = 2454025.571165, lowerbound=1156834.571165, norm of subgrad 41.382902 stepsize= 1.000000
+dualbound = 2454231.590765, lowerbound=1157208.590765, norm of subgrad 1076.413764 dualbound = 2454231.590765, lowerbound=1157208.590765, norm of subgrad 40.792396 stepsize= 1.000000
+dualbound = 2454422.574479, lowerbound=1155972.574479, norm of subgrad 1075.854811 dualbound = 2454422.574479, lowerbound=1155972.574479, norm of subgrad 41.011995 stepsize= 1.000000
+dualbound = 2454598.535304, lowerbound=1157002.535304, norm of subgrad 1076.346383 dualbound = 2454598.535304, lowerbound=1157002.535304, norm of subgrad 41.169902 stepsize= 1.000000
+dualbound = 2454789.207174, lowerbound=1158315.207174, norm of subgrad 1076.975491 dualbound = 2454789.207174, lowerbound=1158315.207174, norm of subgrad 41.852979 stepsize= 1.000000
+dualbound = 2454968.485025, lowerbound=1156806.485025, norm of subgrad 1076.248803 dualbound = 2454968.485025, lowerbound=1156806.485025, norm of subgrad 41.039954 stepsize= 1.000000
+dualbound = 2455194.915013, lowerbound=1149632.915013, norm of subgrad 1072.915614 dualbound = 2455194.915013, lowerbound=1149632.915013, norm of subgrad 41.730444 stepsize= 1.000000
+dualbound = 2455363.723922, lowerbound=1157402.723922, norm of subgrad 1076.553168 dualbound = 2455363.723922, lowerbound=1157402.723922, norm of subgrad 41.627021 stepsize= 1.000000
+dualbound = 2455554.276852, lowerbound=1158107.276852, norm of subgrad 1076.853879 dualbound = 2455554.276852, lowerbound=1158107.276852, norm of subgrad 41.201370 stepsize= 1.000000
+dualbound = 2455767.218067, lowerbound=1157348.218067, norm of subgrad 1076.514848 dualbound = 2455767.218067, lowerbound=1157348.218067, norm of subgrad 41.820345 stepsize= 1.000000
+dualbound = 2455968.538567, lowerbound=1153575.538567, norm of subgrad 1074.782554 dualbound = 2455968.538567, lowerbound=1153575.538567, norm of subgrad 42.229380 stepsize= 1.000000
+dualbound = 2456117.996237, lowerbound=1153945.996237, norm of subgrad 1074.943253 dualbound = 2456117.996237, lowerbound=1153945.996237, norm of subgrad 41.309293 stepsize= 1.000000
+dualbound = 2456367.157268, lowerbound=1152126.157268, norm of subgrad 1074.054076 dualbound = 2456367.157268, lowerbound=1152126.157268, norm of subgrad 41.414503 stepsize= 1.000000
+dualbound = 2456556.334383, lowerbound=1159043.334383, norm of subgrad 1077.286561 dualbound = 2456556.334383, lowerbound=1159043.334383, norm of subgrad 41.136080 stepsize= 1.000000
+dualbound = 2456737.927778, lowerbound=1150122.927778, norm of subgrad 1073.127172 dualbound = 2456737.927778, lowerbound=1150122.927778, norm of subgrad 40.750379 stepsize= 1.000000
+dualbound = 2456944.051740, lowerbound=1156707.051740, norm of subgrad 1076.218403 dualbound = 2456944.051740, lowerbound=1156707.051740, norm of subgrad 41.774681 stepsize= 1.000000
+dualbound = 2457124.938262, lowerbound=1153404.938262, norm of subgrad 1074.632932 dualbound = 2457124.938262, lowerbound=1153404.938262, norm of subgrad 40.148307 stepsize= 1.000000
+dualbound = 2457335.764256, lowerbound=1161743.764256, norm of subgrad 1078.510438 dualbound = 2457335.764256, lowerbound=1161743.764256, norm of subgrad 40.642662 stepsize= 1.000000
+dualbound = 2457525.981783, lowerbound=1152251.981783, norm of subgrad 1074.163387 dualbound = 2457525.981783, lowerbound=1152251.981783, norm of subgrad 42.014492 stepsize= 1.000000
+dualbound = 2457697.325059, lowerbound=1155266.325059, norm of subgrad 1075.547919 dualbound = 2457697.325059, lowerbound=1155266.325059, norm of subgrad 41.332110 stepsize= 1.000000
+dualbound = 2457887.365803, lowerbound=1159069.365803, norm of subgrad 1077.317672 dualbound = 2457887.365803, lowerbound=1159069.365803, norm of subgrad 41.641815 stepsize= 1.000000
+dualbound = 2458093.157045, lowerbound=1156456.157045, norm of subgrad 1076.087430 dualbound = 2458093.157045, lowerbound=1156456.157045, norm of subgrad 41.397962 stepsize= 1.000000
+dualbound = 2458282.369725, lowerbound=1156069.369725, norm of subgrad 1075.914202 dualbound = 2458282.369725, lowerbound=1156069.369725, norm of subgrad 41.366807 stepsize= 1.000000
+dualbound = 2458460.916840, lowerbound=1154183.916840, norm of subgrad 1075.026938 dualbound = 2458460.916840, lowerbound=1154183.916840, norm of subgrad 40.957870 stepsize= 1.000000
+dualbound = 2458693.861037, lowerbound=1156491.861037, norm of subgrad 1076.079858 dualbound = 2458693.861037, lowerbound=1156491.861037, norm of subgrad 41.096766 stepsize= 1.000000
+dualbound = 2458872.345667, lowerbound=1156584.345667, norm of subgrad 1076.107497 dualbound = 2458872.345667, lowerbound=1156584.345667, norm of subgrad 40.018554 stepsize= 1.000000
+dualbound = 2459061.621855, lowerbound=1154178.621855, norm of subgrad 1075.032847 dualbound = 2459061.621855, lowerbound=1154178.621855, norm of subgrad 41.307096 stepsize= 1.000000
+dualbound = 2459225.088700, lowerbound=1155297.088700, norm of subgrad 1075.565939 dualbound = 2459225.088700, lowerbound=1155297.088700, norm of subgrad 41.333604 stepsize= 1.000000
+dualbound = 2459455.624991, lowerbound=1158454.624991, norm of subgrad 1077.000290 dualbound = 2459455.624991, lowerbound=1158454.624991, norm of subgrad 41.298139 stepsize= 1.000000
+dualbound = 2459637.578104, lowerbound=1155636.578104, norm of subgrad 1075.680519 dualbound = 2459637.578104, lowerbound=1155636.578104, norm of subgrad 40.422186 stepsize= 1.000000
+dualbound = 2459856.902018, lowerbound=1157592.902018, norm of subgrad 1076.601088 dualbound = 2459856.902018, lowerbound=1157592.902018, norm of subgrad 41.186453 stepsize= 1.000000
+dualbound = 2460025.910953, lowerbound=1155895.910953, norm of subgrad 1075.818717 dualbound = 2460025.910953, lowerbound=1155895.910953, norm of subgrad 40.730933 stepsize= 1.000000
+dualbound = 2460203.101660, lowerbound=1159534.101660, norm of subgrad 1077.529629 dualbound = 2460203.101660, lowerbound=1159534.101660, norm of subgrad 41.390708 stepsize= 1.000000
+dualbound = 2460415.929087, lowerbound=1158534.929087, norm of subgrad 1077.045463 dualbound = 2460415.929087, lowerbound=1158534.929087, norm of subgrad 41.289556 stepsize= 1.000000
+dualbound = 2460603.905285, lowerbound=1155985.905285, norm of subgrad 1075.881455 dualbound = 2460603.905285, lowerbound=1155985.905285, norm of subgrad 41.508748 stepsize= 1.000000
+dualbound = 2460778.948633, lowerbound=1152532.948633, norm of subgrad 1074.290440 dualbound = 2460778.948633, lowerbound=1152532.948633, norm of subgrad 41.737793 stepsize= 1.000000
+dualbound = 2460974.175482, lowerbound=1158028.175482, norm of subgrad 1076.802756 dualbound = 2460974.175482, lowerbound=1158028.175482, norm of subgrad 40.880641 stepsize= 1.000000
+dualbound = 2461208.663640, lowerbound=1156971.663640, norm of subgrad 1076.324609 dualbound = 2461208.663640, lowerbound=1156971.663640, norm of subgrad 41.683188 stepsize= 1.000000
+dualbound = 2461375.536028, lowerbound=1155339.536028, norm of subgrad 1075.551736 dualbound = 2461375.536028, lowerbound=1155339.536028, norm of subgrad 40.482989 stepsize= 1.000000
+dualbound = 2461603.045501, lowerbound=1159667.045501, norm of subgrad 1077.597349 dualbound = 2461603.045501, lowerbound=1159667.045501, norm of subgrad 42.148659 stepsize= 1.000000
+dualbound = 2461738.782853, lowerbound=1157876.782853, norm of subgrad 1076.738958 dualbound = 2461738.782853, lowerbound=1157876.782853, norm of subgrad 40.320433 stepsize= 1.000000
+dualbound = 2461979.188638, lowerbound=1154125.188638, norm of subgrad 1074.986599 dualbound = 2461979.188638, lowerbound=1154125.188638, norm of subgrad 41.369140 stepsize= 1.000000
+dualbound = 2462149.566487, lowerbound=1156121.566487, norm of subgrad 1075.918476 dualbound = 2462149.566487, lowerbound=1156121.566487, norm of subgrad 40.612533 stepsize= 1.000000
+dualbound = 2462360.592572, lowerbound=1155208.592572, norm of subgrad 1075.488072 dualbound = 2462360.592572, lowerbound=1155208.592572, norm of subgrad 40.951509 stepsize= 1.000000
+dualbound = 2462524.106393, lowerbound=1157394.106393, norm of subgrad 1076.544986 dualbound = 2462524.106393, lowerbound=1157394.106393, norm of subgrad 41.454961 stepsize= 1.000000
+dualbound = 2462724.099353, lowerbound=1156946.099353, norm of subgrad 1076.303907 dualbound = 2462724.099353, lowerbound=1156946.099353, norm of subgrad 41.036483 stepsize= 1.000000
+dualbound = 2462936.092869, lowerbound=1159414.092869, norm of subgrad 1077.456771 dualbound = 2462936.092869, lowerbound=1159414.092869, norm of subgrad 41.364157 stepsize= 1.000000
+dualbound = 2463107.121927, lowerbound=1154509.121927, norm of subgrad 1075.187017 dualbound = 2463107.121927, lowerbound=1154509.121927, norm of subgrad 41.097799 stepsize= 1.000000
+dualbound = 2463323.476801, lowerbound=1157496.476801, norm of subgrad 1076.556305 dualbound = 2463323.476801, lowerbound=1157496.476801, norm of subgrad 41.150393 stepsize= 1.000000
+dualbound = 2463476.238217, lowerbound=1155236.238217, norm of subgrad 1075.507433 dualbound = 2463476.238217, lowerbound=1155236.238217, norm of subgrad 40.407443 stepsize= 1.000000
+dualbound = 2463690.783409, lowerbound=1159140.783409, norm of subgrad 1077.374950 dualbound = 2463690.783409, lowerbound=1159140.783409, norm of subgrad 42.550502 stepsize= 1.000000
+dualbound = 2463856.002824, lowerbound=1154257.002824, norm of subgrad 1075.055814 dualbound = 2463856.002824, lowerbound=1154257.002824, norm of subgrad 40.659801 stepsize= 1.000000
+dualbound = 2464083.220509, lowerbound=1157241.220509, norm of subgrad 1076.418701 dualbound = 2464083.220509, lowerbound=1157241.220509, norm of subgrad 40.782566 stepsize= 1.000000
+dualbound = 2464252.998136, lowerbound=1161118.998136, norm of subgrad 1078.235131 dualbound = 2464252.998136, lowerbound=1161118.998136, norm of subgrad 40.518855 stepsize= 1.000000
+dualbound = 2464466.812588, lowerbound=1157994.812588, norm of subgrad 1076.786336 dualbound = 2464466.812588, lowerbound=1157994.812588, norm of subgrad 41.083019 stepsize= 1.000000
+dualbound = 2464658.977341, lowerbound=1154216.977341, norm of subgrad 1075.018129 dualbound = 2464658.977341, lowerbound=1154216.977341, norm of subgrad 40.486600 stepsize= 1.000000
+dualbound = 2464829.593164, lowerbound=1159282.593164, norm of subgrad 1077.405027 dualbound = 2464829.593164, lowerbound=1159282.593164, norm of subgrad 41.104937 stepsize= 1.000000
+dualbound = 2465002.307802, lowerbound=1155897.307802, norm of subgrad 1075.832844 dualbound = 2465002.307802, lowerbound=1155897.307802, norm of subgrad 41.130459 stepsize= 1.000000
+dualbound = 2465237.595542, lowerbound=1156231.595542, norm of subgrad 1075.984942 dualbound = 2465237.595542, lowerbound=1156231.595542, norm of subgrad 41.800571 stepsize= 1.000000
+dualbound = 2465387.860427, lowerbound=1156350.860427, norm of subgrad 1076.023634 dualbound = 2465387.860427, lowerbound=1156350.860427, norm of subgrad 40.326975 stepsize= 1.000000
+dualbound = 2465629.969502, lowerbound=1157947.969502, norm of subgrad 1076.778979 dualbound = 2465629.969502, lowerbound=1157947.969502, norm of subgrad 41.798434 stepsize= 1.000000
+dualbound = 2465790.406394, lowerbound=1159721.406394, norm of subgrad 1077.612364 dualbound = 2465790.406394, lowerbound=1159721.406394, norm of subgrad 41.078424 stepsize= 1.000000
+dualbound = 2465961.470875, lowerbound=1156588.470875, norm of subgrad 1076.171209 dualbound = 2465961.470875, lowerbound=1156588.470875, norm of subgrad 41.557965 stepsize= 1.000000
+dualbound = 2466162.578626, lowerbound=1160892.578626, norm of subgrad 1078.178825 dualbound = 2466162.578626, lowerbound=1160892.578626, norm of subgrad 42.167615 stepsize= 1.000000
+dualbound = 2466385.476594, lowerbound=1154349.476594, norm of subgrad 1075.103007 dualbound = 2466385.476594, lowerbound=1154349.476594, norm of subgrad 41.471653 stepsize= 1.000000
+dualbound = 2466549.542369, lowerbound=1158091.542369, norm of subgrad 1076.852609 dualbound = 2466549.542369, lowerbound=1158091.542369, norm of subgrad 41.037370 stepsize= 1.000000
+dualbound = 2466762.287365, lowerbound=1152744.287365, norm of subgrad 1074.344585 dualbound = 2466762.287365, lowerbound=1152744.287365, norm of subgrad 41.045645 stepsize= 1.000000
+dualbound = 2466958.119676, lowerbound=1159783.119676, norm of subgrad 1077.617799 dualbound = 2466958.119676, lowerbound=1159783.119676, norm of subgrad 40.900273 stepsize= 1.000000
+dualbound = 2467143.783590, lowerbound=1155519.783590, norm of subgrad 1075.656443 dualbound = 2467143.783590, lowerbound=1155519.783590, norm of subgrad 41.263348 stepsize= 1.000000
+dualbound = 2467330.838745, lowerbound=1160131.838745, norm of subgrad 1077.804638 dualbound = 2467330.838745, lowerbound=1160131.838745, norm of subgrad 41.449429 stepsize= 1.000000
+dualbound = 2467509.565271, lowerbound=1152857.565271, norm of subgrad 1074.419641 dualbound = 2467509.565271, lowerbound=1152857.565271, norm of subgrad 41.215610 stepsize= 1.000000
+dualbound = 2467717.559453, lowerbound=1160493.559453, norm of subgrad 1077.969183 dualbound = 2467717.559453, lowerbound=1160493.559453, norm of subgrad 41.617234 stepsize= 1.000000
+dualbound = 2467933.218653, lowerbound=1155776.218653, norm of subgrad 1075.765411 dualbound = 2467933.218653, lowerbound=1155776.218653, norm of subgrad 41.360116 stepsize= 1.000000
+dualbound = 2468118.853028, lowerbound=1160076.853028, norm of subgrad 1077.767068 dualbound = 2468118.853028, lowerbound=1160076.853028, norm of subgrad 41.117325 stepsize= 1.000000
+dualbound = 2468291.383002, lowerbound=1156142.383002, norm of subgrad 1075.935120 dualbound = 2468291.383002, lowerbound=1156142.383002, norm of subgrad 40.823155 stepsize= 1.000000
+dualbound = 2468495.507464, lowerbound=1157802.507464, norm of subgrad 1076.721184 dualbound = 2468495.507464, lowerbound=1157802.507464, norm of subgrad 41.594765 stepsize= 1.000000
+dualbound = 2468668.463535, lowerbound=1153961.463535, norm of subgrad 1074.909514 dualbound = 2468668.463535, lowerbound=1153961.463535, norm of subgrad 40.521057 stepsize= 1.000000
+dualbound = 2468866.605275, lowerbound=1156764.605275, norm of subgrad 1076.229811 dualbound = 2468866.605275, lowerbound=1156764.605275, norm of subgrad 41.281252 stepsize= 1.000000
+dualbound = 2469069.183930, lowerbound=1155881.183930, norm of subgrad 1075.824421 dualbound = 2469069.183930, lowerbound=1155881.183930, norm of subgrad 41.467803 stepsize= 1.000000
+dualbound = 2469255.471144, lowerbound=1159898.471144, norm of subgrad 1077.695445 dualbound = 2469255.471144, lowerbound=1159898.471144, norm of subgrad 41.416026 stepsize= 1.000000
+dualbound = 2469428.527948, lowerbound=1157339.527948, norm of subgrad 1076.504309 dualbound = 2469428.527948, lowerbound=1157339.527948, norm of subgrad 41.171068 stepsize= 1.000000
+dualbound = 2469638.694740, lowerbound=1159638.694740, norm of subgrad 1077.545217 dualbound = 2469638.694740, lowerbound=1159638.694740, norm of subgrad 40.928802 stepsize= 1.000000
+dualbound = 2469839.795779, lowerbound=1159342.795779, norm of subgrad 1077.415331 dualbound = 2469839.795779, lowerbound=1159342.795779, norm of subgrad 41.013425 stepsize= 1.000000
+dualbound = 2470003.543309, lowerbound=1155083.543309, norm of subgrad 1075.475961 dualbound = 2470003.543309, lowerbound=1155083.543309, norm of subgrad 41.578210 stepsize= 1.000000
+dualbound = 2470162.236958, lowerbound=1155162.236958, norm of subgrad 1075.519984 dualbound = 2470162.236958, lowerbound=1155162.236958, norm of subgrad 41.709635 stepsize= 1.000000
+dualbound = 2470393.956314, lowerbound=1161194.956314, norm of subgrad 1078.268963 dualbound = 2470393.956314, lowerbound=1161194.956314, norm of subgrad 41.239779 stepsize= 1.000000
+dualbound = 2470587.663587, lowerbound=1157040.663587, norm of subgrad 1076.335293 dualbound = 2470587.663587, lowerbound=1157040.663587, norm of subgrad 40.628897 stepsize= 1.000000
+dualbound = 2470794.297499, lowerbound=1158465.297499, norm of subgrad 1077.001067 dualbound = 2470794.297499, lowerbound=1158465.297499, norm of subgrad 40.897847 stepsize= 1.000000
+dualbound = 2470964.581312, lowerbound=1155249.581312, norm of subgrad 1075.506663 dualbound = 2470964.581312, lowerbound=1155249.581312, norm of subgrad 40.438643 stepsize= 1.000000
+dualbound = 2471180.100722, lowerbound=1157522.100722, norm of subgrad 1076.569134 dualbound = 2471180.100722, lowerbound=1157522.100722, norm of subgrad 41.164541 stepsize= 1.000000
+dualbound = 2471360.845404, lowerbound=1156140.845404, norm of subgrad 1075.943235 dualbound = 2471360.845404, lowerbound=1156140.845404, norm of subgrad 41.155129 stepsize= 1.000000
+dualbound = 2471554.651480, lowerbound=1155471.651480, norm of subgrad 1075.637788 dualbound = 2471554.651480, lowerbound=1155471.651480, norm of subgrad 41.458486 stepsize= 1.000000
+dualbound = 2471731.001836, lowerbound=1163451.001836, norm of subgrad 1079.331739 dualbound = 2471731.001836, lowerbound=1163451.001836, norm of subgrad 41.016464 stepsize= 1.000000
+dualbound = 2471927.572635, lowerbound=1155217.572635, norm of subgrad 1075.527114 dualbound = 2471927.572635, lowerbound=1155217.572635, norm of subgrad 41.684179 stepsize= 1.000000
+dualbound = 2472125.433436, lowerbound=1156995.433436, norm of subgrad 1076.332864 dualbound = 2472125.433436, lowerbound=1156995.433436, norm of subgrad 41.168687 stepsize= 1.000000
+dualbound = 2472309.291654, lowerbound=1158377.291654, norm of subgrad 1077.010813 dualbound = 2472309.291654, lowerbound=1158377.291654, norm of subgrad 41.938744 stepsize= 1.000000
+dualbound = 2472510.458324, lowerbound=1159518.458324, norm of subgrad 1077.503345 dualbound = 2472510.458324, lowerbound=1159518.458324, norm of subgrad 41.184544 stepsize= 1.000000
+dualbound = 2472702.496774, lowerbound=1154620.496774, norm of subgrad 1075.225789 dualbound = 2472702.496774, lowerbound=1154620.496774, norm of subgrad 41.012662 stepsize= 1.000000
+dualbound = 2472899.540498, lowerbound=1159797.540498, norm of subgrad 1077.647688 dualbound = 2472899.540498, lowerbound=1159797.540498, norm of subgrad 41.521606 stepsize= 1.000000
+dualbound = 2473074.959406, lowerbound=1156663.959406, norm of subgrad 1076.170971 dualbound = 2473074.959406, lowerbound=1156663.959406, norm of subgrad 40.686839 stepsize= 1.000000
+dualbound = 2473312.662623, lowerbound=1159375.662623, norm of subgrad 1077.411557 dualbound = 2473312.662623, lowerbound=1159375.662623, norm of subgrad 40.959776 stepsize= 1.000000
+dualbound = 2473469.595828, lowerbound=1155573.595828, norm of subgrad 1075.676343 dualbound = 2473469.595828, lowerbound=1155573.595828, norm of subgrad 40.779078 stepsize= 1.000000
+dualbound = 2473664.810874, lowerbound=1159082.810874, norm of subgrad 1077.318807 dualbound = 2473664.810874, lowerbound=1159082.810874, norm of subgrad 41.571806 stepsize= 1.000000
+dualbound = 2473837.810049, lowerbound=1154972.810049, norm of subgrad 1075.395653 dualbound = 2473837.810049, lowerbound=1154972.810049, norm of subgrad 40.938969 stepsize= 1.000000
+dualbound = 2474039.597741, lowerbound=1156463.597741, norm of subgrad 1076.091352 dualbound = 2474039.597741, lowerbound=1156463.597741, norm of subgrad 41.361669 stepsize= 1.000000
+dualbound = 2474221.645641, lowerbound=1160970.645641, norm of subgrad 1078.187203 dualbound = 2474221.645641, lowerbound=1160970.645641, norm of subgrad 41.219509 stepsize= 1.000000
+dualbound = 2474405.674456, lowerbound=1156604.674456, norm of subgrad 1076.164799 dualbound = 2474405.674456, lowerbound=1156604.674456, norm of subgrad 41.352495 stepsize= 1.000000
+dualbound = 2474620.360269, lowerbound=1162523.360269, norm of subgrad 1078.865311 dualbound = 2474620.360269, lowerbound=1162523.360269, norm of subgrad 40.517722 stepsize= 1.000000
+dualbound = 2474839.776516, lowerbound=1157138.776516, norm of subgrad 1076.387373 dualbound = 2474839.776516, lowerbound=1157138.776516, norm of subgrad 41.114672 stepsize= 1.000000
+dualbound = 2474986.969381, lowerbound=1156318.969381, norm of subgrad 1076.039948 dualbound = 2474986.969381, lowerbound=1156318.969381, norm of subgrad 41.111955 stepsize= 1.000000
+dualbound = 2475178.325320, lowerbound=1159792.325320, norm of subgrad 1077.608614 dualbound = 2475178.325320, lowerbound=1159792.325320, norm of subgrad 40.488961 stepsize= 1.000000
+dualbound = 2475389.723766, lowerbound=1156230.723766, norm of subgrad 1075.979890 dualbound = 2475389.723766, lowerbound=1156230.723766, norm of subgrad 41.393217 stepsize= 1.000000
+dualbound = 2475583.217213, lowerbound=1158899.217213, norm of subgrad 1077.184393 dualbound = 2475583.217213, lowerbound=1158899.217213, norm of subgrad 40.255353 stepsize= 1.000000
+dualbound = 2475775.630986, lowerbound=1157535.630986, norm of subgrad 1076.568916 dualbound = 2475775.630986, lowerbound=1157535.630986, norm of subgrad 40.711347 stepsize= 1.000000
+dualbound = 2475955.120023, lowerbound=1154669.120023, norm of subgrad 1075.237704 dualbound = 2475955.120023, lowerbound=1154669.120023, norm of subgrad 40.576952 stepsize= 1.000000
+dualbound = 2476156.727619, lowerbound=1158254.727619, norm of subgrad 1076.924198 dualbound = 2476156.727619, lowerbound=1158254.727619, norm of subgrad 41.383663 stepsize= 1.000000
+dualbound = 2476324.904711, lowerbound=1160111.904711, norm of subgrad 1077.785649 dualbound = 2476324.904711, lowerbound=1160111.904711, norm of subgrad 40.965560 stepsize= 1.000000
+dualbound = 2476559.685243, lowerbound=1159251.685243, norm of subgrad 1077.366087 dualbound = 2476559.685243, lowerbound=1159251.685243, norm of subgrad 41.240521 stepsize= 1.000000
+dualbound = 2476694.351022, lowerbound=1158328.351022, norm of subgrad 1076.998306 dualbound = 2476694.351022, lowerbound=1158328.351022, norm of subgrad 41.613288 stepsize= 1.000000
+dualbound = 2476872.813325, lowerbound=1156437.813325, norm of subgrad 1076.103068 dualbound = 2476872.813325, lowerbound=1156437.813325, norm of subgrad 41.694871 stepsize= 1.000000
+dualbound = 2477086.973261, lowerbound=1160421.973261, norm of subgrad 1077.903972 dualbound = 2477086.973261, lowerbound=1160421.973261, norm of subgrad 40.855354 stepsize= 1.000000
+dualbound = 2477303.431190, lowerbound=1156313.431190, norm of subgrad 1076.024364 dualbound = 2477303.431190, lowerbound=1156313.431190, norm of subgrad 41.610791 stepsize= 1.000000
+dualbound = 2477461.267760, lowerbound=1155779.267760, norm of subgrad 1075.775194 dualbound = 2477461.267760, lowerbound=1155779.267760, norm of subgrad 40.875868 stepsize= 1.000000
+dualbound = 2477650.867072, lowerbound=1157295.867072, norm of subgrad 1076.497500 dualbound = 2477650.867072, lowerbound=1157295.867072, norm of subgrad 41.720490 stepsize= 1.000000
+dualbound = 2477865.150979, lowerbound=1161832.150979, norm of subgrad 1078.569029 dualbound = 2477865.150979, lowerbound=1161832.150979, norm of subgrad 41.149531 stepsize= 1.000000
+dualbound = 2478050.782544, lowerbound=1156241.782544, norm of subgrad 1075.979917 dualbound = 2478050.782544, lowerbound=1156241.782544, norm of subgrad 40.946692 stepsize= 1.000000
+dualbound = 2478263.990369, lowerbound=1162720.990369, norm of subgrad 1078.977289 dualbound = 2478263.990369, lowerbound=1162720.990369, norm of subgrad 41.039101 stepsize= 1.000000
+dualbound = 2478433.520743, lowerbound=1155346.520743, norm of subgrad 1075.580086 dualbound = 2478433.520743, lowerbound=1155346.520743, norm of subgrad 41.176818 stepsize= 1.000000
+dualbound = 2478619.482714, lowerbound=1160674.482714, norm of subgrad 1078.024342 dualbound = 2478619.482714, lowerbound=1160674.482714, norm of subgrad 40.595098 stepsize= 1.000000
+dualbound = 2478850.510990, lowerbound=1157789.510990, norm of subgrad 1076.681713 dualbound = 2478850.510990, lowerbound=1157789.510990, norm of subgrad 41.049096 stepsize= 1.000000
+dualbound = 2479010.353767, lowerbound=1158482.353767, norm of subgrad 1077.061444 dualbound = 2479010.353767, lowerbound=1158482.353767, norm of subgrad 41.699434 stepsize= 1.000000
+dualbound = 2479163.104384, lowerbound=1155162.104384, norm of subgrad 1075.492959 dualbound = 2479163.104384, lowerbound=1155162.104384, norm of subgrad 40.935933 stepsize= 1.000000
+dualbound = 2479407.535681, lowerbound=1160761.535681, norm of subgrad 1078.065182 dualbound = 2479407.535681, lowerbound=1160761.535681, norm of subgrad 41.321076 stepsize= 1.000000
+dualbound = 2479585.357939, lowerbound=1158118.357939, norm of subgrad 1076.846023 dualbound = 2479585.357939, lowerbound=1158118.357939, norm of subgrad 40.704082 stepsize= 1.000000
+dualbound = 2479770.470304, lowerbound=1157864.470304, norm of subgrad 1076.730454 dualbound = 2479770.470304, lowerbound=1157864.470304, norm of subgrad 40.854772 stepsize= 1.000000
+dualbound = 2479952.136592, lowerbound=1158737.136592, norm of subgrad 1077.139330 dualbound = 2479952.136592, lowerbound=1158737.136592, norm of subgrad 40.910467 stepsize= 1.000000
+dualbound = 2480154.342548, lowerbound=1154421.342548, norm of subgrad 1075.118292 dualbound = 2480154.342548, lowerbound=1154421.342548, norm of subgrad 40.745625 stepsize= 1.000000
+dualbound = 2480340.393912, lowerbound=1158716.393912, norm of subgrad 1077.116704 dualbound = 2480340.393912, lowerbound=1158716.393912, norm of subgrad 40.620824 stepsize= 1.000000
+dualbound = 2480550.364121, lowerbound=1159495.364121, norm of subgrad 1077.501445 dualbound = 2480550.364121, lowerbound=1159495.364121, norm of subgrad 41.520720 stepsize= 1.000000
+dualbound = 2480719.286666, lowerbound=1156168.286666, norm of subgrad 1075.953199 dualbound = 2480719.286666, lowerbound=1156168.286666, norm of subgrad 40.938033 stepsize= 1.000000
+dualbound = 2480925.079340, lowerbound=1156583.079340, norm of subgrad 1076.131999 dualbound = 2480925.079340, lowerbound=1156583.079340, norm of subgrad 41.021856 stepsize= 1.000000
+dualbound = 2481113.915445, lowerbound=1162981.915445, norm of subgrad 1079.116729 dualbound = 2481113.915445, lowerbound=1162981.915445, norm of subgrad 41.229069 stepsize= 1.000000
+dualbound = 2481317.043901, lowerbound=1154104.043901, norm of subgrad 1074.961880 dualbound = 2481317.043901, lowerbound=1154104.043901, norm of subgrad 40.523184 stepsize= 1.000000
+dualbound = 2481499.530382, lowerbound=1160648.530382, norm of subgrad 1078.016943 dualbound = 2481499.530382, lowerbound=1160648.530382, norm of subgrad 40.675379 stepsize= 1.000000
+dualbound = 2481690.180108, lowerbound=1159076.180108, norm of subgrad 1077.280920 dualbound = 2481690.180108, lowerbound=1159076.180108, norm of subgrad 40.603568 stepsize= 1.000000
+dualbound = 2481881.404940, lowerbound=1162360.404940, norm of subgrad 1078.840769 dualbound = 2481881.404940, lowerbound=1162360.404940, norm of subgrad 41.571924 stepsize= 1.000000
+dualbound = 2482028.036681, lowerbound=1155006.036681, norm of subgrad 1075.435278 dualbound = 2482028.036681, lowerbound=1155006.036681, norm of subgrad 41.250839 stepsize= 1.000000
+dualbound = 2482248.260076, lowerbound=1157932.260076, norm of subgrad 1076.797688 dualbound = 2482248.260076, lowerbound=1157932.260076, norm of subgrad 42.204542 stepsize= 1.000000
+dualbound = 2482406.799462, lowerbound=1158261.799462, norm of subgrad 1076.978087 dualbound = 2482406.799462, lowerbound=1158261.799462, norm of subgrad 42.172733 stepsize= 1.000000
+dualbound = 2482603.901789, lowerbound=1157942.901789, norm of subgrad 1076.790092 dualbound = 2482603.901789, lowerbound=1157942.901789, norm of subgrad 41.606518 stepsize= 1.000000
+dualbound = 2482849.300464, lowerbound=1156759.300464, norm of subgrad 1076.203652 dualbound = 2482849.300464, lowerbound=1156759.300464, norm of subgrad 41.235891 stepsize= 1.000000
+dualbound = 2483019.517595, lowerbound=1164156.517595, norm of subgrad 1079.651572 dualbound = 2483019.517595, lowerbound=1164156.517595, norm of subgrad 40.758031 stepsize= 1.000000
+dualbound = 2483214.685408, lowerbound=1155818.685408, norm of subgrad 1075.761909 dualbound = 2483214.685408, lowerbound=1155818.685408, norm of subgrad 40.498985 stepsize= 1.000000
+dualbound = 2483392.556478, lowerbound=1161426.556478, norm of subgrad 1078.391653 dualbound = 2483392.556478, lowerbound=1161426.556478, norm of subgrad 40.986230 stepsize= 1.000000
+dualbound = 2483582.322932, lowerbound=1156474.322932, norm of subgrad 1076.101911 dualbound = 2483582.322932, lowerbound=1156474.322932, norm of subgrad 41.361413 stepsize= 1.000000
+dualbound = 2483764.716500, lowerbound=1157772.716500, norm of subgrad 1076.674843 dualbound = 2483764.716500, lowerbound=1157772.716500, norm of subgrad 40.477075 stepsize= 1.000000
+dualbound = 2483978.102104, lowerbound=1157995.102104, norm of subgrad 1076.789256 dualbound = 2483978.102104, lowerbound=1157995.102104, norm of subgrad 41.150767 stepsize= 1.000000
+dualbound = 2484149.656128, lowerbound=1160365.656128, norm of subgrad 1077.908464 dualbound = 2484149.656128, lowerbound=1160365.656128, norm of subgrad 41.140661 stepsize= 1.000000
+dualbound = 2484351.084308, lowerbound=1158385.084308, norm of subgrad 1076.954077 dualbound = 2484351.084308, lowerbound=1158385.084308, norm of subgrad 40.576202 stepsize= 1.000000
+dualbound = 2484567.704681, lowerbound=1159565.704681, norm of subgrad 1077.515060 dualbound = 2484567.704681, lowerbound=1159565.704681, norm of subgrad 41.104992 stepsize= 1.000000
+dualbound = 2484732.614007, lowerbound=1157286.614007, norm of subgrad 1076.466727 dualbound = 2484732.614007, lowerbound=1157286.614007, norm of subgrad 40.729711 stepsize= 1.000000
+dualbound = 2484918.211247, lowerbound=1158802.211247, norm of subgrad 1077.189961 dualbound = 2484918.211247, lowerbound=1158802.211247, norm of subgrad 41.492135 stepsize= 1.000000
+dualbound = 2485100.840503, lowerbound=1161187.840503, norm of subgrad 1078.311106 dualbound = 2485100.840503, lowerbound=1161187.840503, norm of subgrad 41.828570 stepsize= 1.000000
+dualbound = 2485285.024614, lowerbound=1156841.024614, norm of subgrad 1076.290400 dualbound = 2485285.024614, lowerbound=1156841.024614, norm of subgrad 41.763430 stepsize= 1.000000
+dualbound = 2485468.393782, lowerbound=1156295.393782, norm of subgrad 1076.039680 dualbound = 2485468.393782, lowerbound=1156295.393782, norm of subgrad 41.825461 stepsize= 1.000000
+dualbound = 2485691.921187, lowerbound=1162544.921187, norm of subgrad 1078.911452 dualbound = 2485691.921187, lowerbound=1162544.921187, norm of subgrad 41.575563 stepsize= 1.000000
+dualbound = 2485880.471165, lowerbound=1156768.471165, norm of subgrad 1076.262269 dualbound = 2485880.471165, lowerbound=1156768.471165, norm of subgrad 41.958908 stepsize= 1.000000
+dualbound = 2486034.338219, lowerbound=1160132.338219, norm of subgrad 1077.809509 dualbound = 2486034.338219, lowerbound=1160132.338219, norm of subgrad 41.168763 stepsize= 1.000000
+dualbound = 2486272.313577, lowerbound=1157277.313577, norm of subgrad 1076.463336 dualbound = 2486272.313577, lowerbound=1157277.313577, norm of subgrad 41.641030 stepsize= 1.000000
+dualbound = 2486432.315279, lowerbound=1161946.315279, norm of subgrad 1078.622416 dualbound = 2486432.315279, lowerbound=1161946.315279, norm of subgrad 40.496934 stepsize= 1.000000
+dualbound = 2486622.440525, lowerbound=1156604.440525, norm of subgrad 1076.156792 dualbound = 2486622.440525, lowerbound=1156604.440525, norm of subgrad 41.220447 stepsize= 1.000000
+dualbound = 2486832.694833, lowerbound=1158967.694833, norm of subgrad 1077.244956 dualbound = 2486832.694833, lowerbound=1158967.694833, norm of subgrad 41.222012 stepsize= 1.000000
+dualbound = 2487018.693445, lowerbound=1157757.693445, norm of subgrad 1076.684120 dualbound = 2487018.693445, lowerbound=1157757.693445, norm of subgrad 40.951174 stepsize= 1.000000
+dualbound = 2487207.443442, lowerbound=1158490.443442, norm of subgrad 1076.990921 dualbound = 2487207.443442, lowerbound=1158490.443442, norm of subgrad 40.096758 stepsize= 1.000000
+dualbound = 2487411.929150, lowerbound=1158651.929150, norm of subgrad 1077.090957 dualbound = 2487411.929150, lowerbound=1158651.929150, norm of subgrad 40.957120 stepsize= 1.000000
+dualbound = 2487584.862472, lowerbound=1157231.862472, norm of subgrad 1076.443618 dualbound = 2487584.862472, lowerbound=1157231.862472, norm of subgrad 40.889281 stepsize= 1.000000
+dualbound = 2487782.560737, lowerbound=1161087.560737, norm of subgrad 1078.222872 dualbound = 2487782.560737, lowerbound=1161087.560737, norm of subgrad 40.923077 stepsize= 1.000000
+dualbound = 2487972.691177, lowerbound=1159050.691177, norm of subgrad 1077.283014 dualbound = 2487972.691177, lowerbound=1159050.691177, norm of subgrad 40.964990 stepsize= 1.000000
+dualbound = 2488182.132853, lowerbound=1161160.132853, norm of subgrad 1078.251887 dualbound = 2488182.132853, lowerbound=1161160.132853, norm of subgrad 40.944373 stepsize= 1.000000
+dualbound = 2488346.265902, lowerbound=1159015.265902, norm of subgrad 1077.260073 dualbound = 2488346.265902, lowerbound=1159015.265902, norm of subgrad 40.473856 stepsize= 1.000000
+dualbound = 2488568.547081, lowerbound=1158453.547081, norm of subgrad 1077.000718 dualbound = 2488568.547081, lowerbound=1158453.547081, norm of subgrad 41.222338 stepsize= 1.000000
+dualbound = 2488733.534240, lowerbound=1160533.534240, norm of subgrad 1077.981231 dualbound = 2488733.534240, lowerbound=1160533.534240, norm of subgrad 40.926607 stepsize= 1.000000
+dualbound = 2488917.080088, lowerbound=1160671.080088, norm of subgrad 1078.047346 dualbound = 2488917.080088, lowerbound=1160671.080088, norm of subgrad 41.213418 stepsize= 1.000000
+dualbound = 2489117.212189, lowerbound=1159574.212189, norm of subgrad 1077.523184 dualbound = 2489117.212189, lowerbound=1159574.212189, norm of subgrad 41.013804 stepsize= 1.000000
+dualbound = 2489295.813520, lowerbound=1154544.813520, norm of subgrad 1075.187339 dualbound = 2489295.813520, lowerbound=1154544.813520, norm of subgrad 40.762744 stepsize= 1.000000
+dualbound = 2489494.667703, lowerbound=1158913.667703, norm of subgrad 1077.226841 dualbound = 2489494.667703, lowerbound=1158913.667703, norm of subgrad 41.265654 stepsize= 1.000000
+dualbound = 2489691.173665, lowerbound=1159293.173665, norm of subgrad 1077.401584 dualbound = 2489691.173665, lowerbound=1159293.173665, norm of subgrad 41.200800 stepsize= 1.000000
+dualbound = 2489875.498052, lowerbound=1161126.498052, norm of subgrad 1078.257621 dualbound = 2489875.498052, lowerbound=1161126.498052, norm of subgrad 41.198597 stepsize= 1.000000
+dualbound = 2490062.130251, lowerbound=1158833.130251, norm of subgrad 1077.177390 dualbound = 2490062.130251, lowerbound=1158833.130251, norm of subgrad 40.799904 stepsize= 1.000000
+dualbound = 2490272.896598, lowerbound=1162167.896598, norm of subgrad 1078.739031 dualbound = 2490272.896598, lowerbound=1162167.896598, norm of subgrad 41.482121 stepsize= 1.000000
+dualbound = 2490436.873973, lowerbound=1157000.873973, norm of subgrad 1076.360011 dualbound = 2490436.873973, lowerbound=1157000.873973, norm of subgrad 41.400210 stepsize= 1.000000
+dualbound = 2490607.592780, lowerbound=1155290.592780, norm of subgrad 1075.533632 dualbound = 2490607.592780, lowerbound=1155290.592780, norm of subgrad 40.653644 stepsize= 1.000000
+dualbound = 2490820.721569, lowerbound=1159324.721569, norm of subgrad 1077.408336 dualbound = 2490820.721569, lowerbound=1159324.721569, norm of subgrad 41.196223 stepsize= 1.000000
+dualbound = 2491008.758619, lowerbound=1164953.758619, norm of subgrad 1080.040165 dualbound = 2491008.758619, lowerbound=1164953.758619, norm of subgrad 41.485384 stepsize= 1.000000
+dualbound = 2491183.244815, lowerbound=1155554.244815, norm of subgrad 1075.661771 dualbound = 2491183.244815, lowerbound=1155554.244815, norm of subgrad 40.847108 stepsize= 1.000000
+dualbound = 2491374.087258, lowerbound=1162056.087258, norm of subgrad 1078.688596 dualbound = 2491374.087258, lowerbound=1162056.087258, norm of subgrad 41.277626 stepsize= 1.000000
+dualbound = 2491559.764425, lowerbound=1161220.764425, norm of subgrad 1078.300405 dualbound = 2491559.764425, lowerbound=1161220.764425, norm of subgrad 41.190741 stepsize= 1.000000
+dualbound = 2491764.796275, lowerbound=1159006.796275, norm of subgrad 1077.257071 dualbound = 2491764.796275, lowerbound=1159006.796275, norm of subgrad 41.000388 stepsize= 1.000000
+dualbound = 2491966.997053, lowerbound=1156400.997053, norm of subgrad 1076.070164 dualbound = 2491966.997053, lowerbound=1156400.997053, norm of subgrad 41.571634 stepsize= 1.000000
+dualbound = 2492128.483565, lowerbound=1158898.483565, norm of subgrad 1077.222114 dualbound = 2492128.483565, lowerbound=1158898.483565, norm of subgrad 40.871586 stepsize= 1.000000
+dualbound = 2492338.271026, lowerbound=1159972.271026, norm of subgrad 1077.703703 dualbound = 2492338.271026, lowerbound=1159972.271026, norm of subgrad 41.021793 stepsize= 1.000000
+dualbound = 2492531.783219, lowerbound=1161543.783219, norm of subgrad 1078.425604 dualbound = 2492531.783219, lowerbound=1161543.783219, norm of subgrad 40.638802 stepsize= 1.000000
+dualbound = 2492726.528350, lowerbound=1159059.528350, norm of subgrad 1077.280153 dualbound = 2492726.528350, lowerbound=1159059.528350, norm of subgrad 40.838035 stepsize= 1.000000
+dualbound = 2492934.689168, lowerbound=1158208.689168, norm of subgrad 1076.891679 dualbound = 2492934.689168, lowerbound=1158208.689168, norm of subgrad 41.172331 stepsize= 1.000000
+dualbound = 2493094.370442, lowerbound=1159602.370442, norm of subgrad 1077.557131 dualbound = 2493094.370442, lowerbound=1159602.370442, norm of subgrad 41.069225 stepsize= 1.000000
+dualbound = 2493292.990016, lowerbound=1160977.990016, norm of subgrad 1078.142379 dualbound = 2493292.990016, lowerbound=1160977.990016, norm of subgrad 40.144982 stepsize= 1.000000
+dualbound = 2493494.721336, lowerbound=1159451.721336, norm of subgrad 1077.485833 dualbound = 2493494.721336, lowerbound=1159451.721336, norm of subgrad 41.541922 stepsize= 1.000000
+dualbound = 2493651.989299, lowerbound=1158426.989299, norm of subgrad 1077.017636 dualbound = 2493651.989299, lowerbound=1158426.989299, norm of subgrad 41.197912 stepsize= 1.000000
+dualbound = 2493855.124012, lowerbound=1160041.124012, norm of subgrad 1077.757915 dualbound = 2493855.124012, lowerbound=1160041.124012, norm of subgrad 41.522701 stepsize= 1.000000
+dualbound = 2494055.061433, lowerbound=1155705.061433, norm of subgrad 1075.722112 dualbound = 2494055.061433, lowerbound=1155705.061433, norm of subgrad 40.901558 stepsize= 1.000000
+dualbound = 2494227.278743, lowerbound=1158600.278743, norm of subgrad 1077.069301 dualbound = 2494227.278743, lowerbound=1158600.278743, norm of subgrad 40.622867 stepsize= 1.000000
+dualbound = 2494422.577904, lowerbound=1161443.577904, norm of subgrad 1078.367552 dualbound = 2494422.577904, lowerbound=1161443.577904, norm of subgrad 40.352189 stepsize= 1.000000
+dualbound = 2494629.470196, lowerbound=1158812.470196, norm of subgrad 1077.165015 dualbound = 2494629.470196, lowerbound=1158812.470196, norm of subgrad 40.974288 stepsize= 1.000000
+dualbound = 2494791.297705, lowerbound=1161255.297705, norm of subgrad 1078.298334 dualbound = 2494791.297705, lowerbound=1161255.297705, norm of subgrad 40.420632 stepsize= 1.000000
+dualbound = 2494972.484063, lowerbound=1159184.484063, norm of subgrad 1077.363673 dualbound = 2494972.484063, lowerbound=1159184.484063, norm of subgrad 41.342307 stepsize= 1.000000
+dualbound = 2495179.295245, lowerbound=1159871.295245, norm of subgrad 1077.671237 dualbound = 2495179.295245, lowerbound=1159871.295245, norm of subgrad 41.361953 stepsize= 1.000000
+dualbound = 2495358.054378, lowerbound=1159143.054378, norm of subgrad 1077.333307 dualbound = 2495358.054378, lowerbound=1159143.054378, norm of subgrad 41.021447 stepsize= 1.000000
+dualbound = 2495557.520041, lowerbound=1159217.520041, norm of subgrad 1077.379005 dualbound = 2495557.520041, lowerbound=1159217.520041, norm of subgrad 41.562792 stepsize= 1.000000
+dualbound = 2495727.651513, lowerbound=1156893.651513, norm of subgrad 1076.295337 dualbound = 2495727.651513, lowerbound=1156893.651513, norm of subgrad 41.086877 stepsize= 1.000000
+dualbound = 2495921.148787, lowerbound=1158948.148787, norm of subgrad 1077.253057 dualbound = 2495921.148787, lowerbound=1158948.148787, norm of subgrad 41.466821 stepsize= 1.000000
+dualbound = 2496122.941503, lowerbound=1162443.941503, norm of subgrad 1078.853531 dualbound = 2496122.941503, lowerbound=1162443.941503, norm of subgrad 41.021857 stepsize= 1.000000
+dualbound = 2496298.231889, lowerbound=1160093.231889, norm of subgrad 1077.783017 dualbound = 2496298.231889, lowerbound=1160093.231889, norm of subgrad 41.210319 stepsize= 1.000000
+dualbound = 2496498.636005, lowerbound=1159950.636005, norm of subgrad 1077.702480 dualbound = 2496498.636005, lowerbound=1159950.636005, norm of subgrad 41.138840 stepsize= 1.000000
+dualbound = 2496675.789007, lowerbound=1158628.789007, norm of subgrad 1077.102033 dualbound = 2496675.789007, lowerbound=1158628.789007, norm of subgrad 41.196517 stepsize= 1.000000
+dualbound = 2496863.120291, lowerbound=1159463.120291, norm of subgrad 1077.477666 dualbound = 2496863.120291, lowerbound=1159463.120291, norm of subgrad 41.016232 stepsize= 1.000000
+dualbound = 2497064.537317, lowerbound=1160036.537317, norm of subgrad 1077.740014 dualbound = 2497064.537317, lowerbound=1160036.537317, norm of subgrad 41.090352 stepsize= 1.000000
+dualbound = 2497232.462524, lowerbound=1155533.462524, norm of subgrad 1075.662801 dualbound = 2497232.462524, lowerbound=1155533.462524, norm of subgrad 41.047840 stepsize= 1.000000
+dualbound = 2497439.370793, lowerbound=1159286.370793, norm of subgrad 1077.388681 dualbound = 2497439.370793, lowerbound=1159286.370793, norm of subgrad 41.071989 stepsize= 1.000000
+dualbound = 2497624.557226, lowerbound=1164762.557226, norm of subgrad 1079.935441 dualbound = 2497624.557226, lowerbound=1164762.557226, norm of subgrad 41.026655 stepsize= 1.000000
+dualbound = 2497802.598726, lowerbound=1161761.598726, norm of subgrad 1078.564601 dualbound = 2497802.598726, lowerbound=1161761.598726, norm of subgrad 41.449264 stepsize= 1.000000
+dualbound = 2498013.109287, lowerbound=1157260.109287, norm of subgrad 1076.439552 dualbound = 2498013.109287, lowerbound=1157260.109287, norm of subgrad 40.896339 stepsize= 1.000000
+dualbound = 2498181.289407, lowerbound=1153890.289407, norm of subgrad 1074.871755 dualbound = 2498181.289407, lowerbound=1153890.289407, norm of subgrad 40.338321 stepsize= 1.000000
+dualbound = 2498404.540473, lowerbound=1165261.540473, norm of subgrad 1080.159498 dualbound = 2498404.540473, lowerbound=1165261.540473, norm of subgrad 41.306792 stepsize= 1.000000
+dualbound = 2498567.311840, lowerbound=1159317.311840, norm of subgrad 1077.399792 dualbound = 2498567.311840, lowerbound=1159317.311840, norm of subgrad 40.444670 stepsize= 1.000000
+dualbound = 2498768.771001, lowerbound=1160290.771001, norm of subgrad 1077.865841 dualbound = 2498768.771001, lowerbound=1160290.771001, norm of subgrad 41.297205 stepsize= 1.000000
+dualbound = 2498955.072359, lowerbound=1158579.072359, norm of subgrad 1077.049707 dualbound = 2498955.072359, lowerbound=1158579.072359, norm of subgrad 40.537654 stepsize= 1.000000
+dualbound = 2499137.511620, lowerbound=1161351.511620, norm of subgrad 1078.359176 dualbound = 2499137.511620, lowerbound=1161351.511620, norm of subgrad 41.102789 stepsize= 1.000000
+dualbound = 2499318.100438, lowerbound=1162366.100438, norm of subgrad 1078.808185 dualbound = 2499318.100438, lowerbound=1162366.100438, norm of subgrad 40.516525 stepsize= 1.000000
+dualbound = 2499528.678578, lowerbound=1156092.678578, norm of subgrad 1075.914345 dualbound = 2499528.678578, lowerbound=1156092.678578, norm of subgrad 41.347045 stepsize= 1.000000
+dualbound = 2499677.663398, lowerbound=1159847.663398, norm of subgrad 1077.692286 dualbound = 2499677.663398, lowerbound=1159847.663398, norm of subgrad 41.496805 stepsize= 1.000000
+dualbound = 2499866.626729, lowerbound=1159590.626729, norm of subgrad 1077.515952 dualbound = 2499866.626729, lowerbound=1159590.626729, norm of subgrad 40.484112 stepsize= 1.000000
+dualbound = 2500066.589152, lowerbound=1159992.589152, norm of subgrad 1077.714521 dualbound = 2500066.589152, lowerbound=1159992.589152, norm of subgrad 40.938520 stepsize= 1.000000
+dualbound = 2500280.959917, lowerbound=1162161.959917, norm of subgrad 1078.728863 dualbound = 2500280.959917, lowerbound=1162161.959917, norm of subgrad 41.332442 stepsize= 1.000000
+dualbound = 2500423.283362, lowerbound=1156717.283362, norm of subgrad 1076.206432 dualbound = 2500423.283362, lowerbound=1156717.283362, norm of subgrad 40.562587 stepsize= 1.000000
+dualbound = 2500645.234684, lowerbound=1160831.234683, norm of subgrad 1078.105855 dualbound = 2500645.234684, lowerbound=1160831.234683, norm of subgrad 41.266831 stepsize= 1.000000
+dualbound = 2500817.638651, lowerbound=1160029.638651, norm of subgrad 1077.716400 dualbound = 2500817.638651, lowerbound=1160029.638651, norm of subgrad 40.192088 stepsize= 1.000000
+dualbound = 2501050.320898, lowerbound=1161457.320898, norm of subgrad 1078.388298 dualbound = 2501050.320898, lowerbound=1161457.320898, norm of subgrad 41.190803 stepsize= 1.000000
+dualbound = 2501184.635233, lowerbound=1160395.635233, norm of subgrad 1077.925617 dualbound = 2501184.635233, lowerbound=1160395.635233, norm of subgrad 40.771489 stepsize= 1.000000
+dualbound = 2501381.462164, lowerbound=1162067.462164, norm of subgrad 1078.670229 dualbound = 2501381.462164, lowerbound=1162067.462164, norm of subgrad 40.728699 stepsize= 1.000000
+dualbound = 2501583.581818, lowerbound=1161747.581818, norm of subgrad 1078.562275 dualbound = 2501583.581818, lowerbound=1161747.581818, norm of subgrad 41.846382 stepsize= 1.000000
+dualbound = 2501759.700026, lowerbound=1160195.700026, norm of subgrad 1077.816172 dualbound = 2501759.700026, lowerbound=1160195.700026, norm of subgrad 40.842603 stepsize= 1.000000
+dualbound = 2501953.221233, lowerbound=1159263.221233, norm of subgrad 1077.405319 dualbound = 2501953.221233, lowerbound=1159263.221233, norm of subgrad 41.623566 stepsize= 1.000000
+dualbound = 2502126.943106, lowerbound=1157723.943106, norm of subgrad 1076.693523 dualbound = 2502126.943106, lowerbound=1157723.943106, norm of subgrad 41.457471 stepsize= 1.000000
+dualbound = 2502323.345396, lowerbound=1160430.345396, norm of subgrad 1077.941253 dualbound = 2502323.345396, lowerbound=1160430.345396, norm of subgrad 41.513881 stepsize= 1.000000
+dualbound = 2502513.491159, lowerbound=1161082.491159, norm of subgrad 1078.217738 dualbound = 2502513.491159, lowerbound=1161082.491159, norm of subgrad 40.757156 stepsize= 1.000000
+dualbound = 2502739.284402, lowerbound=1160698.284402, norm of subgrad 1078.027033 dualbound = 2502739.284402, lowerbound=1160698.284402, norm of subgrad 40.863104 stepsize= 1.000000
+dualbound = 2502902.668130, lowerbound=1158883.668130, norm of subgrad 1077.187388 dualbound = 2502902.668130, lowerbound=1158883.668130, norm of subgrad 40.154498 stepsize= 1.000000
+dualbound = 2503112.085988, lowerbound=1158095.085988, norm of subgrad 1076.818038 dualbound = 2503112.085988, lowerbound=1158095.085988, norm of subgrad 40.637641 stepsize= 1.000000
+dualbound = 2503294.840022, lowerbound=1159359.840022, norm of subgrad 1077.444124 dualbound = 2503294.840022, lowerbound=1159359.840022, norm of subgrad 41.337078 stepsize= 1.000000
+dualbound = 2503458.090873, lowerbound=1160822.090873, norm of subgrad 1078.095121 dualbound = 2503458.090873, lowerbound=1160822.090873, norm of subgrad 40.376365 stepsize= 1.000000
+dualbound = 2503678.317987, lowerbound=1158423.317987, norm of subgrad 1076.996434 dualbound = 2503678.317987, lowerbound=1158423.317987, norm of subgrad 41.451503 stepsize= 1.000000
+dualbound = 2503835.040885, lowerbound=1164441.040885, norm of subgrad 1079.785183 dualbound = 2503835.040885, lowerbound=1164441.040885, norm of subgrad 40.641394 stepsize= 1.000000
+dualbound = 2504044.566178, lowerbound=1160883.566178, norm of subgrad 1078.142183 dualbound = 2504044.566178, lowerbound=1160883.566178, norm of subgrad 41.430970 stepsize= 1.000000
+dualbound = 2504188.356574, lowerbound=1159378.356574, norm of subgrad 1077.454109 dualbound = 2504188.356574, lowerbound=1159378.356574, norm of subgrad 40.899760 stepsize= 1.000000
+dualbound = 2504394.068470, lowerbound=1160289.068470, norm of subgrad 1077.864123 dualbound = 2504394.068470, lowerbound=1160289.068470, norm of subgrad 41.324471 stepsize= 1.000000
+dualbound = 2504596.629492, lowerbound=1162133.629492, norm of subgrad 1078.708315 dualbound = 2504596.629492, lowerbound=1162133.629492, norm of subgrad 40.994646 stepsize= 1.000000
+dualbound = 2504760.148637, lowerbound=1156944.148637, norm of subgrad 1076.320653 dualbound = 2504760.148637, lowerbound=1156944.148637, norm of subgrad 41.055075 stepsize= 1.000000
+dualbound = 2504955.565574, lowerbound=1163516.565574, norm of subgrad 1079.363037 dualbound = 2504955.565574, lowerbound=1163516.565574, norm of subgrad 41.272472 stepsize= 1.000000
+dualbound = 2505148.751720, lowerbound=1160288.751720, norm of subgrad 1077.864904 dualbound = 2505148.751720, lowerbound=1160288.751720, norm of subgrad 41.196919 stepsize= 1.000000
+dualbound = 2505327.240293, lowerbound=1160772.240293, norm of subgrad 1078.056232 dualbound = 2505327.240293, lowerbound=1160772.240293, norm of subgrad 40.143350 stepsize= 1.000000
+dualbound = 2505572.334978, lowerbound=1159058.334978, norm of subgrad 1077.300949 dualbound = 2505572.334978, lowerbound=1159058.334978, norm of subgrad 42.001127 stepsize= 1.000000
+dualbound = 2505684.706087, lowerbound=1162278.706087, norm of subgrad 1078.791317 dualbound = 2505684.706087, lowerbound=1162278.706087, norm of subgrad 40.303488 stepsize= 1.000000
+dualbound = 2505907.882668, lowerbound=1157447.882668, norm of subgrad 1076.525375 dualbound = 2505907.882668, lowerbound=1157447.882668, norm of subgrad 41.014346 stepsize= 1.000000
+dualbound = 2506114.421624, lowerbound=1162021.421624, norm of subgrad 1078.656304 dualbound = 2506114.421624, lowerbound=1162021.421624, norm of subgrad 41.043135 stepsize= 1.000000
+dualbound = 2506315.346886, lowerbound=1157015.346886, norm of subgrad 1076.336075 dualbound = 2506315.346886, lowerbound=1157015.346886, norm of subgrad 41.047841 stepsize= 1.000000
+dualbound = 2506443.960075, lowerbound=1157999.960075, norm of subgrad 1076.844910 dualbound = 2506443.960075, lowerbound=1157999.960075, norm of subgrad 41.516421 stepsize= 1.000000
+dualbound = 2506653.358637, lowerbound=1159854.358637, norm of subgrad 1077.703279 dualbound = 2506653.358637, lowerbound=1159854.358637, norm of subgrad 42.419318 stepsize= 1.000000
+dualbound = 2506824.746522, lowerbound=1165258.746522, norm of subgrad 1080.164685 dualbound = 2506824.746522, lowerbound=1165258.746522, norm of subgrad 40.845904 stepsize= 1.000000
+dualbound = 2507085.623199, lowerbound=1157576.623199, norm of subgrad 1076.585632 dualbound = 2507085.623199, lowerbound=1157576.623199, norm of subgrad 41.483451 stepsize= 1.000000
+dualbound = 2507242.324014, lowerbound=1161402.324014, norm of subgrad 1078.387836 dualbound = 2507242.324014, lowerbound=1161402.324014, norm of subgrad 40.923109 stepsize= 1.000000
+dualbound = 2507407.033302, lowerbound=1161176.033301, norm of subgrad 1078.271317 dualbound = 2507407.033302, lowerbound=1161176.033301, norm of subgrad 40.714976 stepsize= 1.000000
+dualbound = 2507621.058990, lowerbound=1157576.058990, norm of subgrad 1076.563542 dualbound = 2507621.058990, lowerbound=1157576.058990, norm of subgrad 40.336406 stepsize= 1.000000
+dualbound = 2507841.589210, lowerbound=1158755.589210, norm of subgrad 1077.119580 dualbound = 2507841.589210, lowerbound=1158755.589210, norm of subgrad 40.639023 stepsize= 1.000000
+dualbound = 2507984.061832, lowerbound=1164642.061832, norm of subgrad 1079.841221 dualbound = 2507984.061832, lowerbound=1164642.061832, norm of subgrad 39.464828 stepsize= 1.000000
+dualbound = 2508207.972726, lowerbound=1159208.972726, norm of subgrad 1077.329556 dualbound = 2508207.972726, lowerbound=1159208.972726, norm of subgrad 40.668303 stepsize= 1.000000
+dualbound = 2508371.983231, lowerbound=1164236.983231, norm of subgrad 1079.668460 dualbound = 2508371.983231, lowerbound=1164236.983231, norm of subgrad 40.137395 stepsize= 1.000000
+dualbound = 2508549.072882, lowerbound=1156095.072882, norm of subgrad 1075.903840 dualbound = 2508549.072882, lowerbound=1156095.072882, norm of subgrad 40.633602 stepsize= 1.000000
+dualbound = 2508739.352691, lowerbound=1164743.352691, norm of subgrad 1079.940902 dualbound = 2508739.352691, lowerbound=1164743.352691, norm of subgrad 41.464199 stepsize= 1.000000
+dualbound = 2508899.523997, lowerbound=1158697.523997, norm of subgrad 1077.172467 dualbound = 2508899.523997, lowerbound=1158697.523997, norm of subgrad 41.990133 stepsize= 1.000000
+dualbound = 2509090.148986, lowerbound=1161973.148986, norm of subgrad 1078.664521 dualbound = 2509090.148986, lowerbound=1161973.148986, norm of subgrad 41.648829 stepsize= 1.000000
+dualbound = 2509308.286350, lowerbound=1158888.286350, norm of subgrad 1077.190460 dualbound = 2509308.286350, lowerbound=1158888.286350, norm of subgrad 40.855078 stepsize= 1.000000
+dualbound = 2509481.051730, lowerbound=1162744.051730, norm of subgrad 1078.977781 dualbound = 2509481.051730, lowerbound=1162744.051730, norm of subgrad 40.271148 stepsize= 1.000000
+dualbound = 2509670.332766, lowerbound=1159824.332766, norm of subgrad 1077.681926 dualbound = 2509670.332766, lowerbound=1159824.332766, norm of subgrad 41.991440 stepsize= 1.000000
+dualbound = 2509858.785607, lowerbound=1160543.785607, norm of subgrad 1077.987377 dualbound = 2509858.785607, lowerbound=1160543.785607, norm of subgrad 41.248671 stepsize= 1.000000
+dualbound = 2510054.578419, lowerbound=1161617.578419, norm of subgrad 1078.481144 dualbound = 2510054.578419, lowerbound=1161617.578419, norm of subgrad 41.228544 stepsize= 1.000000
+dualbound = 2510230.760024, lowerbound=1161159.760024, norm of subgrad 1078.284174 dualbound = 2510230.760024, lowerbound=1161159.760024, norm of subgrad 41.390598 stepsize= 1.000000
+dualbound = 2510402.390726, lowerbound=1159397.390726, norm of subgrad 1077.484752 dualbound = 2510402.390726, lowerbound=1159397.390726, norm of subgrad 41.804673 stepsize= 1.000000
+dualbound = 2510624.358764, lowerbound=1162113.358764, norm of subgrad 1078.714216 dualbound = 2510624.358764, lowerbound=1162113.358764, norm of subgrad 41.628933 stepsize= 1.000000
+dualbound = 2510785.059635, lowerbound=1160515.059635, norm of subgrad 1077.967560 dualbound = 2510785.059635, lowerbound=1160515.059635, norm of subgrad 40.739426 stepsize= 1.000000
+dualbound = 2510975.635329, lowerbound=1161580.635329, norm of subgrad 1078.469117 dualbound = 2510975.635329, lowerbound=1161580.635329, norm of subgrad 41.298616 stepsize= 1.000000
+dualbound = 2511181.658182, lowerbound=1161504.658182, norm of subgrad 1078.394945 dualbound = 2511181.658182, lowerbound=1161504.658182, norm of subgrad 40.460139 stepsize= 1.000000
+dualbound = 2511385.556640, lowerbound=1162101.556640, norm of subgrad 1078.686496 dualbound = 2511385.556640, lowerbound=1162101.556640, norm of subgrad 40.827668 stepsize= 1.000000
+dualbound = 2511534.293430, lowerbound=1162775.293430, norm of subgrad 1079.024232 dualbound = 2511534.293430, lowerbound=1162775.293430, norm of subgrad 40.825688 stepsize= 1.000000
+dualbound = 2511743.121072, lowerbound=1161566.121072, norm of subgrad 1078.433642 dualbound = 2511743.121072, lowerbound=1161566.121072, norm of subgrad 40.765520 stepsize= 1.000000
+dualbound = 2511913.476091, lowerbound=1163555.476091, norm of subgrad 1079.380135 dualbound = 2511913.476091, lowerbound=1163555.476091, norm of subgrad 40.943315 stepsize= 1.000000
+dualbound = 2512116.049406, lowerbound=1161831.049406, norm of subgrad 1078.572227 dualbound = 2512116.049406, lowerbound=1161831.049406, norm of subgrad 41.104420 stepsize= 1.000000
+dualbound = 2512283.620050, lowerbound=1162344.620050, norm of subgrad 1078.816305 dualbound = 2512283.620050, lowerbound=1162344.620050, norm of subgrad 40.835899 stepsize= 1.000000
+dualbound = 2512485.518066, lowerbound=1160686.518066, norm of subgrad 1078.048477 dualbound = 2512485.518066, lowerbound=1160686.518066, norm of subgrad 41.278300 stepsize= 1.000000
+dualbound = 2512657.092879, lowerbound=1160385.092879, norm of subgrad 1077.913305 dualbound = 2512657.092879, lowerbound=1160385.092879, norm of subgrad 41.031388 stepsize= 1.000000
+dualbound = 2512860.377497, lowerbound=1161821.377497, norm of subgrad 1078.555690 dualbound = 2512860.377497, lowerbound=1161821.377497, norm of subgrad 40.795645 stepsize= 1.000000
+dualbound = 2513063.907929, lowerbound=1160326.907929, norm of subgrad 1077.871471 dualbound = 2513063.907929, lowerbound=1160326.907929, norm of subgrad 41.030847 stepsize= 1.000000
+dualbound = 2513221.093615, lowerbound=1160657.093615, norm of subgrad 1078.035757 dualbound = 2513221.093615, lowerbound=1160657.093615, norm of subgrad 40.757646 stepsize= 1.000000
+dualbound = 2513412.636690, lowerbound=1163910.636690, norm of subgrad 1079.525654 dualbound = 2513412.636690, lowerbound=1163910.636690, norm of subgrad 40.700652 stepsize= 1.000000
+dualbound = 2513612.476617, lowerbound=1160710.476617, norm of subgrad 1078.069792 dualbound = 2513612.476617, lowerbound=1160710.476617, norm of subgrad 41.519151 stepsize= 1.000000
+dualbound = 2513782.137736, lowerbound=1160568.137736, norm of subgrad 1078.005166 dualbound = 2513782.137736, lowerbound=1160568.137736, norm of subgrad 41.190546 stepsize= 1.000000
+dualbound = 2513962.292539, lowerbound=1162313.292539, norm of subgrad 1078.807811 dualbound = 2513962.292539, lowerbound=1162313.292539, norm of subgrad 41.147962 stepsize= 1.000000
+dualbound = 2514171.963269, lowerbound=1164013.963269, norm of subgrad 1079.593425 dualbound = 2514171.963269, lowerbound=1164013.963269, norm of subgrad 41.444791 stepsize= 1.000000
+dualbound = 2514343.548816, lowerbound=1160993.548816, norm of subgrad 1078.201534 dualbound = 2514343.548816, lowerbound=1160993.548816, norm of subgrad 41.189629 stepsize= 1.000000
+dualbound = 2514550.373448, lowerbound=1163020.373448, norm of subgrad 1079.099334 dualbound = 2514550.373448, lowerbound=1163020.373448, norm of subgrad 40.519435 stepsize= 1.000000
+dualbound = 2514723.975852, lowerbound=1164328.975852, norm of subgrad 1079.745329 dualbound = 2514723.975852, lowerbound=1164328.975852, norm of subgrad 41.165549 stepsize= 1.000000
+dualbound = 2514892.526246, lowerbound=1160572.526246, norm of subgrad 1077.999316 dualbound = 2514892.526246, lowerbound=1160572.526246, norm of subgrad 40.970116 stepsize= 1.000000
+dualbound = 2515101.008024, lowerbound=1159550.008024, norm of subgrad 1077.478542 dualbound = 2515101.008024, lowerbound=1159550.008024, norm of subgrad 40.230359 stepsize= 1.000000
+dualbound = 2515281.334285, lowerbound=1160187.334285, norm of subgrad 1077.836414 dualbound = 2515281.334285, lowerbound=1160187.334285, norm of subgrad 41.525008 stepsize= 1.000000
+dualbound = 2515457.272352, lowerbound=1164807.272352, norm of subgrad 1079.963551 dualbound = 2515457.272352, lowerbound=1164807.272352, norm of subgrad 41.108856 stepsize= 1.000000
+dualbound = 2515651.681221, lowerbound=1162465.681221, norm of subgrad 1078.863143 dualbound = 2515651.681221, lowerbound=1162465.681221, norm of subgrad 40.919541 stepsize= 1.000000
+dualbound = 2515852.228699, lowerbound=1160134.228699, norm of subgrad 1077.785335 dualbound = 2515852.228699, lowerbound=1160134.228699, norm of subgrad 41.079770 stepsize= 1.000000
+dualbound = 2516033.272146, lowerbound=1162258.272146, norm of subgrad 1078.777212 dualbound = 2516033.272146, lowerbound=1162258.272146, norm of subgrad 41.024913 stepsize= 1.000000
+dualbound = 2516174.008976, lowerbound=1162512.008976, norm of subgrad 1078.943469 dualbound = 2516174.008976, lowerbound=1162512.008976, norm of subgrad 41.805943 stepsize= 1.000000
+dualbound = 2516406.138113, lowerbound=1163271.138113, norm of subgrad 1079.241928 dualbound = 2516406.138113, lowerbound=1163271.138113, norm of subgrad 41.522634 stepsize= 1.000000
+dualbound = 2516567.287305, lowerbound=1161593.287305, norm of subgrad 1078.463855 dualbound = 2516567.287305, lowerbound=1161593.287305, norm of subgrad 40.646638 stepsize= 1.000000
+dualbound = 2516781.267105, lowerbound=1161410.267105, norm of subgrad 1078.359526 dualbound = 2516781.267105, lowerbound=1161410.267105, norm of subgrad 40.779649 stepsize= 1.000000
+dualbound = 2516947.816202, lowerbound=1165337.816202, norm of subgrad 1080.204525 dualbound = 2516947.816202, lowerbound=1165337.816202, norm of subgrad 40.872351 stepsize= 1.000000
+dualbound = 2517124.888938, lowerbound=1162240.888938, norm of subgrad 1078.775643 dualbound = 2517124.888938, lowerbound=1162240.888938, norm of subgrad 41.146965 stepsize= 1.000000
+dualbound = 2517333.676378, lowerbound=1164939.676378, norm of subgrad 1080.013276 dualbound = 2517333.676378, lowerbound=1164939.676378, norm of subgrad 41.204216 stepsize= 1.000000
+dualbound = 2517500.532528, lowerbound=1159841.532528, norm of subgrad 1077.642581 dualbound = 2517500.532528, lowerbound=1159841.532528, norm of subgrad 40.482788 stepsize= 1.000000
+dualbound = 2517717.279116, lowerbound=1163311.279116, norm of subgrad 1079.244773 dualbound = 2517717.279116, lowerbound=1163311.279116, norm of subgrad 40.923668 stepsize= 1.000000
+dualbound = 2517868.297040, lowerbound=1161208.297040, norm of subgrad 1078.267266 dualbound = 2517868.297040, lowerbound=1161208.297040, norm of subgrad 40.037706 stepsize= 1.000000
+dualbound = 2518086.755288, lowerbound=1163826.755288, norm of subgrad 1079.469664 dualbound = 2518086.755288, lowerbound=1163826.755288, norm of subgrad 40.576573 stepsize= 1.000000
+dualbound = 2518267.082178, lowerbound=1162780.082178, norm of subgrad 1078.991697 dualbound = 2518267.082178, lowerbound=1162780.082178, norm of subgrad 40.290531 stepsize= 1.000000
+dualbound = 2518453.849734, lowerbound=1161903.849734, norm of subgrad 1078.586505 dualbound = 2518453.849734, lowerbound=1161903.849734, norm of subgrad 40.395143 stepsize= 1.000000
+dualbound = 2518633.322368, lowerbound=1163491.322368, norm of subgrad 1079.359218 dualbound = 2518633.322368, lowerbound=1163491.322368, norm of subgrad 41.285259 stepsize= 1.000000
+dualbound = 2518802.795007, lowerbound=1157327.795007, norm of subgrad 1076.499324 dualbound = 2518802.795007, lowerbound=1157327.795007, norm of subgrad 41.139672 stepsize= 1.000000
+dualbound = 2518985.483552, lowerbound=1162594.483552, norm of subgrad 1078.944616 dualbound = 2518985.483552, lowerbound=1162594.483552, norm of subgrad 41.348380 stepsize= 1.000000
+dualbound = 2519177.154929, lowerbound=1166088.154929, norm of subgrad 1080.543916 dualbound = 2519177.154929, lowerbound=1166088.154929, norm of subgrad 40.971592 stepsize= 1.000000
+dualbound = 2519355.111839, lowerbound=1164314.111839, norm of subgrad 1079.717607 dualbound = 2519355.111839, lowerbound=1164314.111839, norm of subgrad 40.668869 stepsize= 1.000000
+dualbound = 2519569.482334, lowerbound=1165957.482334, norm of subgrad 1080.471417 dualbound = 2519569.482334, lowerbound=1165957.482334, norm of subgrad 40.931290 stepsize= 1.000000
+dualbound = 2519714.807904, lowerbound=1161430.807904, norm of subgrad 1078.421906 dualbound = 2519714.807904, lowerbound=1161430.807904, norm of subgrad 41.331895 stepsize= 1.000000
+dualbound = 2519903.666273, lowerbound=1162567.666273, norm of subgrad 1078.927090 dualbound = 2519903.666273, lowerbound=1162567.666273, norm of subgrad 41.289931 stepsize= 1.000000
+dualbound = 2520091.909653, lowerbound=1160928.909653, norm of subgrad 1078.190572 dualbound = 2520091.909653, lowerbound=1160928.909653, norm of subgrad 41.883689 stepsize= 1.000000
+dualbound = 2520278.924974, lowerbound=1162829.924974, norm of subgrad 1079.061131 dualbound = 2520278.924974, lowerbound=1162829.924974, norm of subgrad 41.593453 stepsize= 1.000000
+dualbound = 2520475.527066, lowerbound=1163021.527066, norm of subgrad 1079.131376 dualbound = 2520475.527066, lowerbound=1163021.527066, norm of subgrad 41.226231 stepsize= 1.000000
+dualbound = 2520667.538548, lowerbound=1165523.538548, norm of subgrad 1080.280306 dualbound = 2520667.538548, lowerbound=1165523.538548, norm of subgrad 40.914685 stepsize= 1.000000
+dualbound = 2520850.783526, lowerbound=1159988.783526, norm of subgrad 1077.714611 dualbound = 2520850.783526, lowerbound=1159988.783526, norm of subgrad 40.782901 stepsize= 1.000000
+dualbound = 2521033.814731, lowerbound=1157717.814731, norm of subgrad 1076.665136 dualbound = 2521033.814731, lowerbound=1157717.814731, norm of subgrad 40.902704 stepsize= 1.000000
+dualbound = 2521217.711620, lowerbound=1162797.711620, norm of subgrad 1079.016085 dualbound = 2521217.711620, lowerbound=1162797.711620, norm of subgrad 40.766370 stepsize= 1.000000
+dualbound = 2521421.108557, lowerbound=1160750.108557, norm of subgrad 1078.076578 dualbound = 2521421.108557, lowerbound=1160750.108557, norm of subgrad 41.260113 stepsize= 1.000000
+dualbound = 2521568.399626, lowerbound=1161778.399626, norm of subgrad 1078.570072 dualbound = 2521568.399626, lowerbound=1161778.399626, norm of subgrad 41.015742 stepsize= 1.000000
+dualbound = 2521771.964186, lowerbound=1163002.964186, norm of subgrad 1079.145015 dualbound = 2521771.964186, lowerbound=1163002.964186, norm of subgrad 41.887523 stepsize= 1.000000
+dualbound = 2521965.055826, lowerbound=1164396.055826, norm of subgrad 1079.784264 dualbound = 2521965.055826, lowerbound=1164396.055826, norm of subgrad 41.606389 stepsize= 1.000000
+dualbound = 2522148.995681, lowerbound=1164797.995681, norm of subgrad 1079.927773 dualbound = 2522148.995681, lowerbound=1164797.995681, norm of subgrad 40.372514 stepsize= 1.000000
+dualbound = 2522344.126424, lowerbound=1166145.126424, norm of subgrad 1080.556397 dualbound = 2522344.126424, lowerbound=1166145.126424, norm of subgrad 40.646411 stepsize= 1.000000
+dualbound = 2522512.167760, lowerbound=1163318.167760, norm of subgrad 1079.269275 dualbound = 2522512.167760, lowerbound=1163318.167760, norm of subgrad 40.890602 stepsize= 1.000000
+dualbound = 2522712.084206, lowerbound=1161212.084206, norm of subgrad 1078.250937 dualbound = 2522712.084206, lowerbound=1161212.084206, norm of subgrad 40.161131 stepsize= 1.000000
+dualbound = 2522910.160400, lowerbound=1163695.160400, norm of subgrad 1079.421215 dualbound = 2522910.160400, lowerbound=1163695.160400, norm of subgrad 40.658040 stepsize= 1.000000
+dualbound = 2523069.992497, lowerbound=1166756.992497, norm of subgrad 1080.851050 dualbound = 2523069.992497, lowerbound=1166756.992497, norm of subgrad 40.519527 stepsize= 1.000000
+dualbound = 2523276.466294, lowerbound=1162537.466294, norm of subgrad 1078.876947 dualbound = 2523276.466294, lowerbound=1162537.466294, norm of subgrad 40.552112 stepsize= 1.000000
+dualbound = 2523476.441307, lowerbound=1161363.441307, norm of subgrad 1078.322513 dualbound = 2523476.441307, lowerbound=1161363.441307, norm of subgrad 40.199192 stepsize= 1.000000
+dualbound = 2523633.893023, lowerbound=1164849.893023, norm of subgrad 1079.956431 dualbound = 2523633.893023, lowerbound=1164849.893023, norm of subgrad 40.167795 stepsize= 1.000000
+dualbound = 2523828.418119, lowerbound=1162022.418119, norm of subgrad 1078.666500 dualbound = 2523828.418119, lowerbound=1162022.418119, norm of subgrad 41.152462 stepsize= 1.000000
+dualbound = 2524013.422269, lowerbound=1164882.422269, norm of subgrad 1079.972417 dualbound = 2524013.422269, lowerbound=1164882.422269, norm of subgrad 40.533988 stepsize= 1.000000
+dualbound = 2524199.208492, lowerbound=1162776.208492, norm of subgrad 1079.026046 dualbound = 2524199.208492, lowerbound=1162776.208492, norm of subgrad 41.313269 stepsize= 1.000000
+dualbound = 2524376.955891, lowerbound=1165671.955891, norm of subgrad 1080.411012 dualbound = 2524376.955891, lowerbound=1165671.955891, norm of subgrad 42.352655 stepsize= 1.000000
+dualbound = 2524526.877337, lowerbound=1162180.877337, norm of subgrad 1078.752000 dualbound = 2524526.877337, lowerbound=1162180.877337, norm of subgrad 40.925804 stepsize= 1.000000
+dualbound = 2524735.880987, lowerbound=1161760.880987, norm of subgrad 1078.559633 dualbound = 2524735.880987, lowerbound=1161760.880987, norm of subgrad 41.701363 stepsize= 1.000000
+dualbound = 2524886.201784, lowerbound=1162565.201784, norm of subgrad 1078.937997 dualbound = 2524886.201784, lowerbound=1162565.201784, norm of subgrad 41.137827 stepsize= 1.000000
+dualbound = 2525090.262108, lowerbound=1163827.262108, norm of subgrad 1079.510195 dualbound = 2525090.262108, lowerbound=1163827.262108, norm of subgrad 41.461552 stepsize= 1.000000
+dualbound = 2525302.838386, lowerbound=1162244.838386, norm of subgrad 1078.755226 dualbound = 2525302.838386, lowerbound=1162244.838386, norm of subgrad 40.994832 stepsize= 1.000000
+dualbound = 2525473.477103, lowerbound=1163983.477103, norm of subgrad 1079.543643 dualbound = 2525473.477103, lowerbound=1163983.477103, norm of subgrad 40.020479 stepsize= 1.000000
+dualbound = 2525690.747857, lowerbound=1160603.747857, norm of subgrad 1078.015653 dualbound = 2525690.747857, lowerbound=1160603.747857, norm of subgrad 41.608542 stepsize= 1.000000
+dualbound = 2525828.053707, lowerbound=1164969.053707, norm of subgrad 1080.052801 dualbound = 2525828.053707, lowerbound=1164969.053707, norm of subgrad 41.015922 stepsize= 1.000000
+dualbound = 2526034.624915, lowerbound=1163683.624915, norm of subgrad 1079.396417 dualbound = 2526034.624915, lowerbound=1163683.624915, norm of subgrad 40.243897 stepsize= 1.000000
+dualbound = 2526261.324507, lowerbound=1159134.324507, norm of subgrad 1077.300480 dualbound = 2526261.324507, lowerbound=1159134.324507, norm of subgrad 40.849720 stepsize= 1.000000
+dualbound = 2526406.008799, lowerbound=1163067.008799, norm of subgrad 1079.151986 dualbound = 2526406.008799, lowerbound=1163067.008799, norm of subgrad 40.579358 stepsize= 1.000000
+dualbound = 2526600.378718, lowerbound=1160093.378718, norm of subgrad 1077.789580 dualbound = 2526600.378718, lowerbound=1160093.378718, norm of subgrad 41.609733 stepsize= 1.000000
+dualbound = 2526741.582873, lowerbound=1165561.582873, norm of subgrad 1080.327998 dualbound = 2526741.582873, lowerbound=1165561.582873, norm of subgrad 41.087762 stepsize= 1.000000
+dualbound = 2526950.164407, lowerbound=1160774.164407, norm of subgrad 1078.078923 dualbound = 2526950.164407, lowerbound=1160774.164407, norm of subgrad 41.092354 stepsize= 1.000000
+dualbound = 2527166.654441, lowerbound=1165878.654441, norm of subgrad 1080.423831 dualbound = 2527166.654441, lowerbound=1165878.654441, norm of subgrad 40.663129 stepsize= 1.000000
+dualbound = 2527336.127980, lowerbound=1164454.127980, norm of subgrad 1079.769016 dualbound = 2527336.127980, lowerbound=1164454.127980, norm of subgrad 40.205392 stepsize= 1.000000
+dualbound = 2527521.753378, lowerbound=1166560.753378, norm of subgrad 1080.787099 dualbound = 2527521.753378, lowerbound=1166560.753378, norm of subgrad 41.540648 stepsize= 1.000000
+dualbound = 2527697.308857, lowerbound=1159415.308857, norm of subgrad 1077.458727 dualbound = 2527697.308857, lowerbound=1159415.308857, norm of subgrad 40.957972 stepsize= 1.000000
+dualbound = 2527895.505880, lowerbound=1162701.505880, norm of subgrad 1079.008112 dualbound = 2527895.505880, lowerbound=1162701.505880, norm of subgrad 41.895072 stepsize= 1.000000
+dualbound = 2528060.464376, lowerbound=1164655.464376, norm of subgrad 1079.897895 dualbound = 2528060.464376, lowerbound=1164655.464376, norm of subgrad 41.096940 stepsize= 1.000000
+dualbound = 2528260.630344, lowerbound=1165893.630344, norm of subgrad 1080.441405 dualbound = 2528260.630344, lowerbound=1165893.630344, norm of subgrad 40.745134 stepsize= 1.000000
+dualbound = 2528453.076435, lowerbound=1163232.076435, norm of subgrad 1079.212248 dualbound = 2528453.076435, lowerbound=1163232.076435, norm of subgrad 40.736299 stepsize= 1.000000
+dualbound = 2528651.068515, lowerbound=1160972.068515, norm of subgrad 1078.119227 dualbound = 2528651.068515, lowerbound=1160972.068515, norm of subgrad 39.585251 stepsize= 1.000000
+dualbound = 2528847.434678, lowerbound=1161364.434678, norm of subgrad 1078.306281 dualbound = 2528847.434678, lowerbound=1161364.434678, norm of subgrad 39.703478 stepsize= 1.000000
+dualbound = 2529027.192527, lowerbound=1165128.192527, norm of subgrad 1080.050551 dualbound = 2529027.192527, lowerbound=1165128.192527, norm of subgrad 39.506428 stepsize= 1.000000
+dualbound = 2529195.089688, lowerbound=1164018.089688, norm of subgrad 1079.589315 dualbound = 2529195.089688, lowerbound=1164018.089688, norm of subgrad 40.778636 stepsize= 1.000000
+dualbound = 2529374.003528, lowerbound=1164844.003528, norm of subgrad 1079.962964 dualbound = 2529374.003528, lowerbound=1164844.003528, norm of subgrad 40.680632 stepsize= 1.000000
+dualbound = 2529555.993630, lowerbound=1163154.993630, norm of subgrad 1079.202017 dualbound = 2529555.993630, lowerbound=1163154.993630, norm of subgrad 41.279415 stepsize= 1.000000
+dualbound = 2529730.279982, lowerbound=1164492.279982, norm of subgrad 1079.812613 dualbound = 2529730.279982, lowerbound=1164492.279982, norm of subgrad 40.954687 stepsize= 1.000000
+dualbound = 2529909.631060, lowerbound=1162795.631060, norm of subgrad 1079.028559 dualbound = 2529909.631060, lowerbound=1162795.631060, norm of subgrad 41.065205 stepsize= 1.000000
+dualbound = 2530090.035154, lowerbound=1161489.035154, norm of subgrad 1078.439166 dualbound = 2530090.035154, lowerbound=1161489.035154, norm of subgrad 41.501857 stepsize= 1.000000
+dualbound = 2530274.147730, lowerbound=1167045.147730, norm of subgrad 1081.010244 dualbound = 2530274.147730, lowerbound=1167045.147730, norm of subgrad 41.498344 stepsize= 1.000000
+dualbound = 2530459.256244, lowerbound=1166322.256244, norm of subgrad 1080.687863 dualbound = 2530459.256244, lowerbound=1166322.256244, norm of subgrad 41.822345 stepsize= 1.000000
+dualbound = 2530649.425173, lowerbound=1163881.425173, norm of subgrad 1079.557977 dualbound = 2530649.425173, lowerbound=1163881.425173, norm of subgrad 41.882800 stepsize= 1.000000
+dualbound = 2530802.616349, lowerbound=1164629.616349, norm of subgrad 1079.891947 dualbound = 2530802.616349, lowerbound=1164629.616349, norm of subgrad 41.111935 stepsize= 1.000000
+dualbound = 2531040.768063, lowerbound=1159026.768063, norm of subgrad 1077.283049 dualbound = 2531040.768063, lowerbound=1159026.768063, norm of subgrad 41.834815 stepsize= 1.000000
+dualbound = 2531187.324145, lowerbound=1164450.324145, norm of subgrad 1079.761698 dualbound = 2531187.324145, lowerbound=1164450.324145, norm of subgrad 39.768783 stepsize= 1.000000
+dualbound = 2531437.511955, lowerbound=1162793.511955, norm of subgrad 1078.971043 dualbound = 2531437.511955, lowerbound=1162793.511955, norm of subgrad 40.437456 stepsize= 1.000000
+dualbound = 2531583.633697, lowerbound=1168421.633697, norm of subgrad 1081.645336 dualbound = 2531583.633697, lowerbound=1168421.633697, norm of subgrad 41.001485 stepsize= 1.000000
+dualbound = 2531772.814144, lowerbound=1163761.814144, norm of subgrad 1079.453479 dualbound = 2531772.814144, lowerbound=1163761.814144, norm of subgrad 40.585471 stepsize= 1.000000
+dualbound = 2531920.260207, lowerbound=1163001.260207, norm of subgrad 1079.126156 dualbound = 2531920.260207, lowerbound=1163001.260207, norm of subgrad 40.736299 stepsize= 1.000000
+dualbound = 2532113.287796, lowerbound=1158388.287796, norm of subgrad 1076.980635 dualbound = 2532113.287796, lowerbound=1158388.287796, norm of subgrad 41.134263 stepsize= 1.000000
+dualbound = 2532317.469723, lowerbound=1168885.469723, norm of subgrad 1081.876365 dualbound = 2532317.469723, lowerbound=1168885.469723, norm of subgrad 42.132908 stepsize= 1.000000
+dualbound = 2532478.410077, lowerbound=1165658.410077, norm of subgrad 1080.376976 dualbound = 2532478.410077, lowerbound=1165658.410077, norm of subgrad 41.435979 stepsize= 1.000000
+dualbound = 2532649.336487, lowerbound=1162150.336487, norm of subgrad 1078.726257 dualbound = 2532649.336487, lowerbound=1162150.336487, norm of subgrad 40.876967 stepsize= 1.000000
+dualbound = 2532878.633857, lowerbound=1162626.633857, norm of subgrad 1078.941905 dualbound = 2532878.633857, lowerbound=1162626.633857, norm of subgrad 41.452351 stepsize= 1.000000
+dualbound = 2533033.471972, lowerbound=1165305.471972, norm of subgrad 1080.209920 dualbound = 2533033.471972, lowerbound=1165305.471972, norm of subgrad 41.265459 stepsize= 1.000000
+dualbound = 2533234.113315, lowerbound=1164861.113315, norm of subgrad 1079.962089 dualbound = 2533234.113315, lowerbound=1164861.113315, norm of subgrad 40.714142 stepsize= 1.000000
+dualbound = 2533430.548153, lowerbound=1160299.548153, norm of subgrad 1077.837904 dualbound = 2533430.548153, lowerbound=1160299.548153, norm of subgrad 40.391024 stepsize= 1.000000
+dualbound = 2533595.113263, lowerbound=1163013.113263, norm of subgrad 1079.160838 dualbound = 2533595.113263, lowerbound=1163013.113263, norm of subgrad 41.708094 stepsize= 1.000000
+dualbound = 2533786.659882, lowerbound=1165162.659882, norm of subgrad 1080.114188 dualbound = 2533786.659882, lowerbound=1165162.659882, norm of subgrad 40.933441 stepsize= 1.000000
+dualbound = 2533981.133360, lowerbound=1165688.133360, norm of subgrad 1080.409706 dualbound = 2533981.133360, lowerbound=1165688.133360, norm of subgrad 42.325802 stepsize= 1.000000
+dualbound = 2534141.305702, lowerbound=1166798.305702, norm of subgrad 1080.881726 dualbound = 2534141.305702, lowerbound=1166798.305702, norm of subgrad 40.831022 stepsize= 1.000000
+dualbound = 2534337.890741, lowerbound=1159572.890741, norm of subgrad 1077.494729 dualbound = 2534337.890741, lowerbound=1159572.890741, norm of subgrad 40.231642 stepsize= 1.000000
+dualbound = 2534539.566056, lowerbound=1164136.566057, norm of subgrad 1079.616398 dualbound = 2534539.566056, lowerbound=1164136.566057, norm of subgrad 40.455844 stepsize= 1.000000
+dualbound = 2534708.107505, lowerbound=1164667.107505, norm of subgrad 1079.904212 dualbound = 2534708.107505, lowerbound=1164667.107505, norm of subgrad 41.164808 stepsize= 1.000000
+dualbound = 2534905.226070, lowerbound=1163708.226070, norm of subgrad 1079.437921 dualbound = 2534905.226070, lowerbound=1163708.226070, norm of subgrad 40.928212 stepsize= 1.000000
+dualbound = 2535094.795914, lowerbound=1163108.795914, norm of subgrad 1079.156521 dualbound = 2535094.795914, lowerbound=1163108.795914, norm of subgrad 40.737818 stepsize= 1.000000
+dualbound = 2535275.745940, lowerbound=1167016.745940, norm of subgrad 1080.983231 dualbound = 2535275.745940, lowerbound=1167016.745940, norm of subgrad 41.096837 stepsize= 1.000000
+dualbound = 2535438.482324, lowerbound=1165745.482324, norm of subgrad 1080.387191 dualbound = 2535438.482324, lowerbound=1165745.482324, norm of subgrad 40.666158 stepsize= 1.000000
+dualbound = 2535643.754534, lowerbound=1162829.754534, norm of subgrad 1079.047151 dualbound = 2535643.754534, lowerbound=1162829.754534, norm of subgrad 41.452047 stepsize= 1.000000
+dualbound = 2535813.883364, lowerbound=1164634.883364, norm of subgrad 1079.903645 dualbound = 2535813.883364, lowerbound=1164634.883364, norm of subgrad 41.558740 stepsize= 1.000000
+dualbound = 2535970.936657, lowerbound=1163567.936657, norm of subgrad 1079.394708 dualbound = 2535970.936657, lowerbound=1163567.936657, norm of subgrad 41.012843 stepsize= 1.000000
+dualbound = 2536199.874793, lowerbound=1163813.874793, norm of subgrad 1079.458603 dualbound = 2536199.874793, lowerbound=1163813.874793, norm of subgrad 40.570163 stepsize= 1.000000
+dualbound = 2536376.370617, lowerbound=1164346.370617, norm of subgrad 1079.714023 dualbound = 2536376.370617, lowerbound=1164346.370617, norm of subgrad 40.155894 stepsize= 1.000000
+dualbound = 2536551.806282, lowerbound=1162713.806282, norm of subgrad 1078.938277 dualbound = 2536551.806282, lowerbound=1162713.806282, norm of subgrad 39.616104 stepsize= 1.000000
+dualbound = 2536767.967855, lowerbound=1165904.967855, norm of subgrad 1080.467477 dualbound = 2536767.967855, lowerbound=1165904.967855, norm of subgrad 41.486884 stepsize= 1.000000
+dualbound = 2536912.437955, lowerbound=1167363.437955, norm of subgrad 1081.163927 dualbound = 2536912.437955, lowerbound=1167363.437955, norm of subgrad 41.188228 stepsize= 1.000000
+dualbound = 2537091.622275, lowerbound=1164018.622275, norm of subgrad 1079.570573 dualbound = 2537091.622275, lowerbound=1164018.622275, norm of subgrad 40.412675 stepsize= 1.000000
+dualbound = 2537294.877390, lowerbound=1161043.877390, norm of subgrad 1078.183137 dualbound = 2537294.877390, lowerbound=1161043.877390, norm of subgrad 40.475364 stepsize= 1.000000
+dualbound = 2537465.183164, lowerbound=1167508.183164, norm of subgrad 1081.235027 dualbound = 2537465.183164, lowerbound=1167508.183164, norm of subgrad 41.608963 stepsize= 1.000000
+dualbound = 2537603.732942, lowerbound=1162854.732942, norm of subgrad 1079.062896 dualbound = 2537603.732942, lowerbound=1162854.732942, norm of subgrad 40.749844 stepsize= 1.000000
+dualbound = 2537841.035202, lowerbound=1160896.035202, norm of subgrad 1078.131734 dualbound = 2537841.035202, lowerbound=1160896.035202, norm of subgrad 41.343709 stepsize= 1.000000
+dualbound = 2538029.248028, lowerbound=1165555.248028, norm of subgrad 1080.301462 dualbound = 2538029.248028, lowerbound=1165555.248028, norm of subgrad 41.039162 stepsize= 1.000000
+dualbound = 2538189.359925, lowerbound=1164977.359925, norm of subgrad 1080.062665 dualbound = 2538189.359925, lowerbound=1164977.359925, norm of subgrad 41.450113 stepsize= 1.000000
+dualbound = 2538374.046055, lowerbound=1162490.046055, norm of subgrad 1078.920315 dualbound = 2538374.046055, lowerbound=1162490.046055, norm of subgrad 41.996263 stepsize= 1.000000
+dualbound = 2538547.135736, lowerbound=1165318.135736, norm of subgrad 1080.192175 dualbound = 2538547.135736, lowerbound=1165318.135736, norm of subgrad 40.866731 stepsize= 1.000000
+dualbound = 2538784.595313, lowerbound=1165581.595313, norm of subgrad 1080.290514 dualbound = 2538784.595313, lowerbound=1165581.595313, norm of subgrad 41.029984 stepsize= 1.000000
+dualbound = 2538927.092074, lowerbound=1166915.092074, norm of subgrad 1080.920484 dualbound = 2538927.092074, lowerbound=1166915.092074, norm of subgrad 40.205681 stepsize= 1.000000
+dualbound = 2539135.599683, lowerbound=1160487.599683, norm of subgrad 1077.936269 dualbound = 2539135.599683, lowerbound=1160487.599683, norm of subgrad 40.835127 stepsize= 1.000000
+dualbound = 2539323.727688, lowerbound=1161692.727688, norm of subgrad 1078.512275 dualbound = 2539323.727688, lowerbound=1161692.727688, norm of subgrad 41.038129 stepsize= 1.000000
+dualbound = 2539479.287704, lowerbound=1167400.287704, norm of subgrad 1081.168483 dualbound = 2539479.287704, lowerbound=1167400.287704, norm of subgrad 40.994634 stepsize= 1.000000
+dualbound = 2539686.518873, lowerbound=1162530.518873, norm of subgrad 1078.882996 dualbound = 2539686.518873, lowerbound=1162530.518873, norm of subgrad 40.807244 stepsize= 1.000000
+dualbound = 2539867.058063, lowerbound=1165554.058063, norm of subgrad 1080.300911 dualbound = 2539867.058063, lowerbound=1165554.058063, norm of subgrad 40.945564 stepsize= 1.000000
+dualbound = 2540022.096917, lowerbound=1165085.096917, norm of subgrad 1080.102355 dualbound = 2540022.096917, lowerbound=1165085.096917, norm of subgrad 41.122243 stepsize= 1.000000
+dualbound = 2540212.018214, lowerbound=1165189.018214, norm of subgrad 1080.128704 dualbound = 2540212.018214, lowerbound=1165189.018214, norm of subgrad 40.974642 stepsize= 1.000000
+dualbound = 2540423.030148, lowerbound=1164083.030148, norm of subgrad 1079.606887 dualbound = 2540423.030148, lowerbound=1164083.030148, norm of subgrad 40.975748 stepsize= 1.000000
+dualbound = 2540596.017898, lowerbound=1165142.017898, norm of subgrad 1080.123149 dualbound = 2540596.017898, lowerbound=1165142.017898, norm of subgrad 41.194511 stepsize= 1.000000
+dualbound = 2540748.059649, lowerbound=1165408.059649, norm of subgrad 1080.227781 dualbound = 2540748.059649, lowerbound=1165408.059649, norm of subgrad 40.448013 stepsize= 1.000000
+dualbound = 2540945.860373, lowerbound=1167420.860373, norm of subgrad 1081.143774 dualbound = 2540945.860373, lowerbound=1167420.860373, norm of subgrad 40.605427 stepsize= 1.000000
+dualbound = 2541143.070093, lowerbound=1163469.070093, norm of subgrad 1079.315556 dualbound = 2541143.070093, lowerbound=1163469.070093, norm of subgrad 40.622773 stepsize= 1.000000
+dualbound = 2541319.449391, lowerbound=1166420.449391, norm of subgrad 1080.682400 dualbound = 2541319.449391, lowerbound=1166420.449391, norm of subgrad 40.377956 stepsize= 1.000000
+dualbound = 2541505.469215, lowerbound=1164361.469215, norm of subgrad 1079.718699 dualbound = 2541505.469215, lowerbound=1164361.469215, norm of subgrad 40.212185 stepsize= 1.000000
+dualbound = 2541712.306567, lowerbound=1167388.306567, norm of subgrad 1081.131956 dualbound = 2541712.306567, lowerbound=1167388.306567, norm of subgrad 40.802418 stepsize= 1.000000
+dualbound = 2541858.538596, lowerbound=1164941.538596, norm of subgrad 1079.997009 dualbound = 2541858.538596, lowerbound=1164941.538596, norm of subgrad 39.977894 stepsize= 1.000000
+dualbound = 2542054.556103, lowerbound=1162221.556103, norm of subgrad 1078.772708 dualbound = 2542054.556103, lowerbound=1162221.556103, norm of subgrad 41.533330 stepsize= 1.000000
+dualbound = 2542223.186859, lowerbound=1171596.186859, norm of subgrad 1083.094265 dualbound = 2542223.186859, lowerbound=1171596.186859, norm of subgrad 40.812140 stepsize= 1.000000
+dualbound = 2542414.299694, lowerbound=1159617.299694, norm of subgrad 1077.539465 dualbound = 2542414.299694, lowerbound=1159617.299694, norm of subgrad 40.805794 stepsize= 1.000000
+dualbound = 2542589.759185, lowerbound=1167872.759185, norm of subgrad 1081.395284 dualbound = 2542589.759185, lowerbound=1167872.759185, norm of subgrad 41.454306 stepsize= 1.000000
+dualbound = 2542759.759185, lowerbound=1162269.759185, norm of subgrad 1078.780682 dualbound = 2542759.759185, lowerbound=1162269.759185, norm of subgrad 40.841156 stepsize= 1.000000
+dualbound = 2542960.045691, lowerbound=1168369.045691, norm of subgrad 1081.574799 dualbound = 2542960.045691, lowerbound=1168369.045691, norm of subgrad 40.438676 stepsize= 1.000000
+dualbound = 2543150.200439, lowerbound=1166646.200439, norm of subgrad 1080.809974 dualbound = 2543150.200439, lowerbound=1166646.200439, norm of subgrad 41.160111 stepsize= 1.000000
+dualbound = 2543319.248566, lowerbound=1162463.248566, norm of subgrad 1078.872211 dualbound = 2543319.248566, lowerbound=1162463.248566, norm of subgrad 40.878456 stepsize= 1.000000
+dualbound = 2543477.253545, lowerbound=1164989.253545, norm of subgrad 1080.025580 dualbound = 2543477.253545, lowerbound=1164989.253545, norm of subgrad 40.298945 stepsize= 1.000000
+dualbound = 2543690.544161, lowerbound=1165961.544161, norm of subgrad 1080.478387 dualbound = 2543690.544161, lowerbound=1165961.544161, norm of subgrad 41.052291 stepsize= 1.000000
+dualbound = 2543853.217519, lowerbound=1167117.217519, norm of subgrad 1081.018139 dualbound = 2543853.217519, lowerbound=1167117.217519, norm of subgrad 40.566900 stepsize= 1.000000
+dualbound = 2544051.643077, lowerbound=1166290.643077, norm of subgrad 1080.644550 dualbound = 2544051.643077, lowerbound=1166290.643077, norm of subgrad 41.236217 stepsize= 1.000000
+dualbound = 2544235.323852, lowerbound=1164082.323852, norm of subgrad 1079.593592 dualbound = 2544235.323852, lowerbound=1164082.323852, norm of subgrad 40.294922 stepsize= 1.000000
+dualbound = 2544421.283392, lowerbound=1170109.283392, norm of subgrad 1082.391003 dualbound = 2544421.283392, lowerbound=1170109.283392, norm of subgrad 40.582749 stepsize= 1.000000
+dualbound = 2544603.062704, lowerbound=1163942.062704, norm of subgrad 1079.530019 dualbound = 2544603.062704, lowerbound=1163942.062704, norm of subgrad 40.308551 stepsize= 1.000000
+dualbound = 2544791.495496, lowerbound=1167429.495496, norm of subgrad 1081.172741 dualbound = 2544791.495496, lowerbound=1167429.495496, norm of subgrad 41.151340 stepsize= 1.000000
+dualbound = 2544944.576353, lowerbound=1160798.576353, norm of subgrad 1078.103231 dualbound = 2544944.576353, lowerbound=1160798.576353, norm of subgrad 40.756360 stepsize= 1.000000
+dualbound = 2545145.851690, lowerbound=1168142.851690, norm of subgrad 1081.484097 dualbound = 2545145.851690, lowerbound=1168142.851690, norm of subgrad 40.820036 stepsize= 1.000000
+dualbound = 2545309.651920, lowerbound=1167753.651920, norm of subgrad 1081.319866 dualbound = 2545309.651920, lowerbound=1167753.651920, norm of subgrad 40.777448 stepsize= 1.000000
+dualbound = 2545492.449006, lowerbound=1169773.449006, norm of subgrad 1082.237242 dualbound = 2545492.449006, lowerbound=1169773.449006, norm of subgrad 40.580748 stepsize= 1.000000
+dualbound = 2545680.831432, lowerbound=1162885.831432, norm of subgrad 1079.074989 dualbound = 2545680.831432, lowerbound=1162885.831432, norm of subgrad 41.296276 stepsize= 1.000000
+dualbound = 2545828.267101, lowerbound=1164355.267101, norm of subgrad 1079.757967 dualbound = 2545828.267101, lowerbound=1164355.267101, norm of subgrad 40.858728 stepsize= 1.000000
+dualbound = 2546036.005125, lowerbound=1165685.005125, norm of subgrad 1080.350408 dualbound = 2546036.005125, lowerbound=1165685.005125, norm of subgrad 40.984607 stepsize= 1.000000
+dualbound = 2546211.517497, lowerbound=1167855.517497, norm of subgrad 1081.375752 dualbound = 2546211.517497, lowerbound=1167855.517497, norm of subgrad 41.152307 stepsize= 1.000000
+dualbound = 2546400.269250, lowerbound=1165436.269250, norm of subgrad 1080.230656 dualbound = 2546400.269250, lowerbound=1165436.269250, norm of subgrad 40.629444 stepsize= 1.000000
+dualbound = 2546595.187252, lowerbound=1164730.187252, norm of subgrad 1079.883414 dualbound = 2546595.187252, lowerbound=1164730.187252, norm of subgrad 40.161150 stepsize= 1.000000
+dualbound = 2546804.417663, lowerbound=1165722.417663, norm of subgrad 1080.326533 dualbound = 2546804.417663, lowerbound=1165722.417663, norm of subgrad 39.902762 stepsize= 1.000000
+dualbound = 2546978.129228, lowerbound=1164933.129228, norm of subgrad 1079.981541 dualbound = 2546978.129228, lowerbound=1164933.129228, norm of subgrad 40.008894 stepsize= 1.000000
+dualbound = 2547144.150341, lowerbound=1167255.150341, norm of subgrad 1081.111997 dualbound = 2547144.150341, lowerbound=1167255.150341, norm of subgrad 41.400738 stepsize= 1.000000
+dualbound = 2547290.791131, lowerbound=1165180.791131, norm of subgrad 1080.169334 dualbound = 2547290.791131, lowerbound=1165180.791131, norm of subgrad 41.612988 stepsize= 1.000000
+dualbound = 2547489.975724, lowerbound=1167199.975724, norm of subgrad 1081.068442 dualbound = 2547489.975724, lowerbound=1167199.975724, norm of subgrad 41.330190 stepsize= 1.000000
+dualbound = 2547679.749212, lowerbound=1164963.749212, norm of subgrad 1079.997106 dualbound = 2547679.749212, lowerbound=1164963.749212, norm of subgrad 40.246410 stepsize= 1.000000
+dualbound = 2547867.516266, lowerbound=1167756.516266, norm of subgrad 1081.333675 dualbound = 2547867.516266, lowerbound=1167756.516266, norm of subgrad 41.397670 stepsize= 1.000000
+dualbound = 2548026.822030, lowerbound=1164979.822030, norm of subgrad 1080.059638 dualbound = 2548026.822030, lowerbound=1164979.822030, norm of subgrad 41.331656 stepsize= 1.000000
+dualbound = 2548190.310256, lowerbound=1167413.310256, norm of subgrad 1081.180517 dualbound = 2548190.310256, lowerbound=1167413.310256, norm of subgrad 41.249100 stepsize= 1.000000
+dualbound = 2548385.088487, lowerbound=1163658.088487, norm of subgrad 1079.424425 dualbound = 2548385.088487, lowerbound=1163658.088487, norm of subgrad 41.155537 stepsize= 1.000000
+dualbound = 2548563.194450, lowerbound=1168268.194450, norm of subgrad 1081.583189 dualbound = 2548563.194450, lowerbound=1168268.194450, norm of subgrad 41.618577 stepsize= 1.000000
+dualbound = 2548762.996333, lowerbound=1169275.996333, norm of subgrad 1082.000460 dualbound = 2548762.996333, lowerbound=1169275.996333, norm of subgrad 40.605442 stepsize= 1.000000
+dualbound = 2548944.034458, lowerbound=1166379.034458, norm of subgrad 1080.655373 dualbound = 2548944.034458, lowerbound=1166379.034458, norm of subgrad 40.224845 stepsize= 1.000000
+dualbound = 2549112.994640, lowerbound=1162173.994640, norm of subgrad 1078.744175 dualbound = 2549112.994640, lowerbound=1162173.994640, norm of subgrad 41.036084 stepsize= 1.000000
+dualbound = 2549303.160165, lowerbound=1168374.160165, norm of subgrad 1081.596117 dualbound = 2549303.160165, lowerbound=1168374.160165, norm of subgrad 40.818691 stepsize= 1.000000
+dualbound = 2549503.078332, lowerbound=1165896.078332, norm of subgrad 1080.431894 dualbound = 2549503.078332, lowerbound=1165896.078332, norm of subgrad 40.458845 stepsize= 1.000000
+dualbound = 2549680.559978, lowerbound=1166186.559978, norm of subgrad 1080.557523 dualbound = 2549680.559978, lowerbound=1166186.559978, norm of subgrad 39.943481 stepsize= 1.000000
+dualbound = 2549863.169107, lowerbound=1170575.169107, norm of subgrad 1082.638060 dualbound = 2549863.169107, lowerbound=1170575.169107, norm of subgrad 41.383682 stepsize= 1.000000
+dualbound = 2550002.804252, lowerbound=1165918.804252, norm of subgrad 1080.478507 dualbound = 2550002.804252, lowerbound=1165918.804252, norm of subgrad 40.677207 stepsize= 1.000000
+dualbound = 2550222.975755, lowerbound=1164177.975755, norm of subgrad 1079.684665 dualbound = 2550222.975755, lowerbound=1164177.975755, norm of subgrad 41.966314 stepsize= 1.000000
+dualbound = 2550383.098887, lowerbound=1165313.098887, norm of subgrad 1080.187067 dualbound = 2550383.098887, lowerbound=1165313.098887, norm of subgrad 40.634014 stepsize= 1.000000
+dualbound = 2550580.031196, lowerbound=1165454.031196, norm of subgrad 1080.246283 dualbound = 2550580.031196, lowerbound=1165454.031196, norm of subgrad 40.925937 stepsize= 1.000000
+dualbound = 2550762.315143, lowerbound=1163316.315143, norm of subgrad 1079.225794 dualbound = 2550762.315143, lowerbound=1163316.315143, norm of subgrad 39.928485 stepsize= 1.000000
+dualbound = 2550966.288157, lowerbound=1169110.288157, norm of subgrad 1081.929891 dualbound = 2550966.288157, lowerbound=1169110.288157, norm of subgrad 40.816333 stepsize= 1.000000
+dualbound = 2551120.182846, lowerbound=1164247.182846, norm of subgrad 1079.688466 dualbound = 2551120.182846, lowerbound=1164247.182846, norm of subgrad 40.421463 stepsize= 1.000000
+dualbound = 2551297.953701, lowerbound=1165727.953701, norm of subgrad 1080.390649 dualbound = 2551297.953701, lowerbound=1165727.953701, norm of subgrad 41.155447 stepsize= 1.000000
+dualbound = 2551484.387381, lowerbound=1169230.387381, norm of subgrad 1081.995096 dualbound = 2551484.387381, lowerbound=1169230.387381, norm of subgrad 40.858704 stepsize= 1.000000
+dualbound = 2551662.416980, lowerbound=1167089.416980, norm of subgrad 1080.991867 dualbound = 2551662.416980, lowerbound=1167089.416980, norm of subgrad 40.398386 stepsize= 1.000000
+dualbound = 2551872.211079, lowerbound=1166660.211079, norm of subgrad 1080.752151 dualbound = 2551872.211079, lowerbound=1166660.211079, norm of subgrad 39.683675 stepsize= 1.000000
+dualbound = 2552042.169586, lowerbound=1171187.169586, norm of subgrad 1082.857410 dualbound = 2552042.169586, lowerbound=1171187.169586, norm of subgrad 39.534270 stepsize= 1.000000
+dualbound = 2552198.560200, lowerbound=1165397.560200, norm of subgrad 1080.241436 dualbound = 2552198.560200, lowerbound=1165397.560200, norm of subgrad 40.992568 stepsize= 1.000000
+dualbound = 2552344.287133, lowerbound=1164668.287133, norm of subgrad 1079.912629 dualbound = 2552344.287133, lowerbound=1164668.287133, norm of subgrad 41.094123 stepsize= 1.000000
+dualbound = 2552559.282990, lowerbound=1165061.282990, norm of subgrad 1080.086239 dualbound = 2552559.282990, lowerbound=1165061.282990, norm of subgrad 41.713258 stepsize= 1.000000
+dualbound = 2552726.623439, lowerbound=1167096.623439, norm of subgrad 1081.043303 dualbound = 2552726.623439, lowerbound=1167096.623439, norm of subgrad 41.537218 stepsize= 1.000000
+dualbound = 2552935.532681, lowerbound=1166407.532681, norm of subgrad 1080.679662 dualbound = 2552935.532681, lowerbound=1166407.532681, norm of subgrad 40.864523 stepsize= 1.000000
+dualbound = 2553097.173885, lowerbound=1164991.173885, norm of subgrad 1080.026932 dualbound = 2553097.173885, lowerbound=1164991.173885, norm of subgrad 40.356427 stepsize= 1.000000
+dualbound = 2553325.095840, lowerbound=1173779.095840, norm of subgrad 1084.071075 dualbound = 2553325.095840, lowerbound=1173779.095840, norm of subgrad 40.729866 stepsize= 1.000000
+dualbound = 2553470.429014, lowerbound=1165774.429014, norm of subgrad 1080.387629 dualbound = 2553470.429014, lowerbound=1165774.429014, norm of subgrad 40.104029 stepsize= 1.000000
+dualbound = 2553661.686845, lowerbound=1164851.686845, norm of subgrad 1079.984114 dualbound = 2553661.686845, lowerbound=1164851.686845, norm of subgrad 41.294768 stepsize= 1.000000
+dualbound = 2553827.286964, lowerbound=1163885.286964, norm of subgrad 1079.505112 dualbound = 2553827.286964, lowerbound=1163885.286964, norm of subgrad 40.144740 stepsize= 1.000000
+dualbound = 2554033.399517, lowerbound=1166211.399517, norm of subgrad 1080.569942 dualbound = 2554033.399517, lowerbound=1166211.399517, norm of subgrad 40.325086 stepsize= 1.000000
+dualbound = 2554213.074489, lowerbound=1164018.074489, norm of subgrad 1079.535583 dualbound = 2554213.074489, lowerbound=1164018.074489, norm of subgrad 39.480058 stepsize= 1.000000
+dualbound = 2554409.448940, lowerbound=1167511.448940, norm of subgrad 1081.176419 dualbound = 2554409.448940, lowerbound=1167511.448940, norm of subgrad 40.340729 stepsize= 1.000000
+dualbound = 2554548.636127, lowerbound=1172215.636127, norm of subgrad 1083.405112 dualbound = 2554548.636127, lowerbound=1172215.636127, norm of subgrad 41.111886 stepsize= 1.000000
+dualbound = 2554717.024767, lowerbound=1166416.024767, norm of subgrad 1080.715978 dualbound = 2554717.024767, lowerbound=1166416.024767, norm of subgrad 41.223642 stepsize= 1.000000
+dualbound = 2554893.284019, lowerbound=1166517.284019, norm of subgrad 1080.713785 dualbound = 2554893.284019, lowerbound=1166517.284019, norm of subgrad 40.015738 stepsize= 1.000000
+dualbound = 2555114.931608, lowerbound=1164005.931608, norm of subgrad 1079.549411 dualbound = 2555114.931608, lowerbound=1164005.931608, norm of subgrad 40.529589 stepsize= 1.000000
+dualbound = 2555272.480656, lowerbound=1170839.480656, norm of subgrad 1082.699626 dualbound = 2555272.480656, lowerbound=1170839.480656, norm of subgrad 39.453125 stepsize= 1.000000
+dualbound = 2555441.552516, lowerbound=1166663.552516, norm of subgrad 1080.809212 dualbound = 2555441.552516, lowerbound=1166663.552516, norm of subgrad 40.670282 stepsize= 1.000000
+dualbound = 2555619.545624, lowerbound=1163769.545624, norm of subgrad 1079.458913 dualbound = 2555619.545624, lowerbound=1163769.545624, norm of subgrad 40.496828 stepsize= 1.000000
+dualbound = 2555819.049316, lowerbound=1165548.049316, norm of subgrad 1080.307849 dualbound = 2555819.049316, lowerbound=1165548.049316, norm of subgrad 41.430710 stepsize= 1.000000
+dualbound = 2555981.776892, lowerbound=1170037.776892, norm of subgrad 1082.378759 dualbound = 2555981.776892, lowerbound=1170037.776892, norm of subgrad 40.850062 stepsize= 1.000000
+dualbound = 2556173.127444, lowerbound=1160534.127444, norm of subgrad 1077.974085 dualbound = 2556173.127444, lowerbound=1160534.127444, norm of subgrad 41.053021 stepsize= 1.000000
+dualbound = 2556315.603413, lowerbound=1169317.603413, norm of subgrad 1082.049261 dualbound = 2556315.603413, lowerbound=1169317.603413, norm of subgrad 40.687541 stepsize= 1.000000
+dualbound = 2556527.159711, lowerbound=1162988.159711, norm of subgrad 1079.114526 dualbound = 2556527.159711, lowerbound=1162988.159711, norm of subgrad 41.370960 stepsize= 1.000000
+dualbound = 2556701.337178, lowerbound=1167806.337178, norm of subgrad 1081.329893 dualbound = 2556701.337178, lowerbound=1167806.337178, norm of subgrad 40.523789 stepsize= 1.000000
+dualbound = 2556892.686777, lowerbound=1166854.686777, norm of subgrad 1080.876351 dualbound = 2556892.686777, lowerbound=1166854.686777, norm of subgrad 40.377588 stepsize= 1.000000
+dualbound = 2557082.272150, lowerbound=1170768.272150, norm of subgrad 1082.680596 dualbound = 2557082.272150, lowerbound=1170768.272150, norm of subgrad 40.231646 stepsize= 1.000000
+dualbound = 2557275.471308, lowerbound=1167786.471308, norm of subgrad 1081.321169 dualbound = 2557275.471308, lowerbound=1167786.471308, norm of subgrad 40.770077 stepsize= 1.000000
+dualbound = 2557416.365605, lowerbound=1169236.365605, norm of subgrad 1081.988616 dualbound = 2557416.365605, lowerbound=1169236.365605, norm of subgrad 40.048649 stepsize= 1.000000
+dualbound = 2557627.174584, lowerbound=1168879.174584, norm of subgrad 1081.836020 dualbound = 2557627.174584, lowerbound=1168879.174584, norm of subgrad 41.240865 stepsize= 1.000000
+dualbound = 2557788.965060, lowerbound=1165139.965060, norm of subgrad 1080.097665 dualbound = 2557788.965060, lowerbound=1165139.965060, norm of subgrad 40.407802 stepsize= 1.000000
+dualbound = 2557962.186996, lowerbound=1165411.186996, norm of subgrad 1080.232932 dualbound = 2557962.186996, lowerbound=1165411.186996, norm of subgrad 40.807131 stepsize= 1.000000
+dualbound = 2558166.625854, lowerbound=1166483.625854, norm of subgrad 1080.690347 dualbound = 2558166.625854, lowerbound=1166483.625854, norm of subgrad 40.155185 stepsize= 1.000000
+dualbound = 2558355.106291, lowerbound=1165503.106291, norm of subgrad 1080.227803 dualbound = 2558355.106291, lowerbound=1165503.106291, norm of subgrad 39.717508 stepsize= 1.000000
+dualbound = 2558540.676376, lowerbound=1169091.676376, norm of subgrad 1081.926373 dualbound = 2558540.676376, lowerbound=1169091.676376, norm of subgrad 40.725546 stepsize= 1.000000
+dualbound = 2558711.780649, lowerbound=1163192.780649, norm of subgrad 1079.186166 dualbound = 2558711.780649, lowerbound=1163192.780649, norm of subgrad 40.262939 stepsize= 1.000000
+dualbound = 2558881.965411, lowerbound=1166352.965411, norm of subgrad 1080.690967 dualbound = 2558881.965411, lowerbound=1166352.965411, norm of subgrad 41.354380 stepsize= 1.000000
+dualbound = 2559022.078333, lowerbound=1167963.078333, norm of subgrad 1081.432882 dualbound = 2559022.078333, lowerbound=1167963.078333, norm of subgrad 40.915925 stepsize= 1.000000
+dualbound = 2559256.194674, lowerbound=1167091.194674, norm of subgrad 1080.992227 dualbound = 2559256.194674, lowerbound=1167091.194674, norm of subgrad 41.074522 stepsize= 1.000000
+dualbound = 2559402.201766, lowerbound=1168054.201766, norm of subgrad 1081.424617 dualbound = 2559402.201766, lowerbound=1168054.201766, norm of subgrad 39.635932 stepsize= 1.000000
+dualbound = 2559615.430375, lowerbound=1170060.430375, norm of subgrad 1082.371669 dualbound = 2559615.430375, lowerbound=1170060.430375, norm of subgrad 41.002788 stepsize= 1.000000
+dualbound = 2559783.915682, lowerbound=1164517.915682, norm of subgrad 1079.787440 dualbound = 2559783.915682, lowerbound=1164517.915682, norm of subgrad 39.893424 stepsize= 1.000000
+dualbound = 2559976.840076, lowerbound=1165289.840076, norm of subgrad 1080.182318 dualbound = 2559976.840076, lowerbound=1165289.840076, norm of subgrad 41.193742 stepsize= 1.000000
+dualbound = 2560122.147349, lowerbound=1165744.147349, norm of subgrad 1080.422671 dualbound = 2560122.147349, lowerbound=1165744.147349, norm of subgrad 41.404194 stepsize= 1.000000
+dualbound = 2560299.322552, lowerbound=1169982.322552, norm of subgrad 1082.354527 dualbound = 2560299.322552, lowerbound=1169982.322552, norm of subgrad 41.063064 stepsize= 1.000000
+dualbound = 2560510.449648, lowerbound=1167361.449648, norm of subgrad 1081.105661 dualbound = 2560510.449648, lowerbound=1167361.449648, norm of subgrad 40.486135 stepsize= 1.000000
+dualbound = 2560686.709825, lowerbound=1168110.709825, norm of subgrad 1081.470161 dualbound = 2560686.709825, lowerbound=1168110.709825, norm of subgrad 40.537146 stepsize= 1.000000
+dualbound = 2560847.178010, lowerbound=1169172.178010, norm of subgrad 1081.952022 dualbound = 2560847.178010, lowerbound=1169172.178010, norm of subgrad 40.105713 stepsize= 1.000000
+dualbound = 2561043.080367, lowerbound=1165078.080367, norm of subgrad 1080.082904 dualbound = 2561043.080367, lowerbound=1165078.080367, norm of subgrad 41.193475 stepsize= 1.000000
+dualbound = 2561214.100297, lowerbound=1164870.100297, norm of subgrad 1079.988935 dualbound = 2561214.100297, lowerbound=1164870.100297, norm of subgrad 40.951434 stepsize= 1.000000
+dualbound = 2561393.482238, lowerbound=1167631.482238, norm of subgrad 1081.244876 dualbound = 2561393.482238, lowerbound=1167631.482238, norm of subgrad 40.476931 stepsize= 1.000000
+dualbound = 2561592.958732, lowerbound=1168605.958732, norm of subgrad 1081.664439 dualbound = 2561592.958732, lowerbound=1168605.958732, norm of subgrad 39.893314 stepsize= 1.000000
+dualbound = 2561746.006437, lowerbound=1170381.006437, norm of subgrad 1082.552080 dualbound = 2561746.006437, lowerbound=1170381.006437, norm of subgrad 41.122350 stepsize= 1.000000
+dualbound = 2561906.069414, lowerbound=1168135.069414, norm of subgrad 1081.487434 dualbound = 2561906.069414, lowerbound=1168135.069414, norm of subgrad 40.497691 stepsize= 1.000000
+dualbound = 2562108.462007, lowerbound=1164920.462007, norm of subgrad 1079.990492 dualbound = 2562108.462007, lowerbound=1164920.462007, norm of subgrad 40.760184 stepsize= 1.000000
+dualbound = 2562306.050750, lowerbound=1166172.050750, norm of subgrad 1080.572557 dualbound = 2562306.050750, lowerbound=1166172.050750, norm of subgrad 40.774854 stepsize= 1.000000
+dualbound = 2562443.410727, lowerbound=1168456.410727, norm of subgrad 1081.641535 dualbound = 2562443.410727, lowerbound=1168456.410727, norm of subgrad 40.365331 stepsize= 1.000000
+dualbound = 2562644.254905, lowerbound=1166415.254905, norm of subgrad 1080.689713 dualbound = 2562644.254905, lowerbound=1166415.254905, norm of subgrad 40.937076 stepsize= 1.000000
+dualbound = 2562822.523697, lowerbound=1166881.523697, norm of subgrad 1080.931785 dualbound = 2562822.523697, lowerbound=1166881.523697, norm of subgrad 41.355396 stepsize= 1.000000
+dualbound = 2562996.786728, lowerbound=1169805.786728, norm of subgrad 1082.253107 dualbound = 2562996.786728, lowerbound=1169805.786728, norm of subgrad 40.500161 stepsize= 1.000000
+dualbound = 2563205.494689, lowerbound=1167062.494689, norm of subgrad 1080.968776 dualbound = 2563205.494689, lowerbound=1167062.494689, norm of subgrad 40.493308 stepsize= 1.000000
+dualbound = 2563375.396455, lowerbound=1164008.396455, norm of subgrad 1079.592236 dualbound = 2563375.396455, lowerbound=1164008.396455, norm of subgrad 40.998802 stepsize= 1.000000
+dualbound = 2563529.837147, lowerbound=1169009.837147, norm of subgrad 1081.894559 dualbound = 2563529.837147, lowerbound=1169009.837147, norm of subgrad 40.502354 stepsize= 1.000000
+dualbound = 2563741.362077, lowerbound=1167532.362077, norm of subgrad 1081.211063 dualbound = 2563741.362077, lowerbound=1167532.362077, norm of subgrad 41.188893 stepsize= 1.000000
+dualbound = 2563918.229139, lowerbound=1164692.229139, norm of subgrad 1079.876488 dualbound = 2563918.229139, lowerbound=1164692.229139, norm of subgrad 40.222718 stepsize= 1.000000
+dualbound = 2564108.807306, lowerbound=1167241.807306, norm of subgrad 1081.059114 dualbound = 2564108.807306, lowerbound=1167241.807306, norm of subgrad 40.467001 stepsize= 1.000000
+dualbound = 2564291.291726, lowerbound=1167571.291726, norm of subgrad 1081.204093 dualbound = 2564291.291726, lowerbound=1167571.291726, norm of subgrad 40.168202 stepsize= 1.000000
+dualbound = 2564443.453610, lowerbound=1169838.453610, norm of subgrad 1082.316245 dualbound = 2564443.453610, lowerbound=1169838.453610, norm of subgrad 41.498938 stepsize= 1.000000
+dualbound = 2564611.955207, lowerbound=1170557.955207, norm of subgrad 1082.622721 dualbound = 2564611.955207, lowerbound=1170557.955207, norm of subgrad 41.018308 stepsize= 1.000000
+dualbound = 2564813.310922, lowerbound=1167698.310922, norm of subgrad 1081.273005 dualbound = 2564813.310922, lowerbound=1167698.310922, norm of subgrad 40.673772 stepsize= 1.000000
+dualbound = 2564996.842584, lowerbound=1167723.842584, norm of subgrad 1081.291747 dualbound = 2564996.842584, lowerbound=1167723.842584, norm of subgrad 40.639041 stepsize= 1.000000
+dualbound = 2565137.713312, lowerbound=1167292.713312, norm of subgrad 1081.108558 dualbound = 2565137.713312, lowerbound=1167292.713312, norm of subgrad 40.544676 stepsize= 1.000000
+dualbound = 2565327.926607, lowerbound=1169238.926607, norm of subgrad 1082.006898 dualbound = 2565327.926607, lowerbound=1169238.926607, norm of subgrad 41.112204 stepsize= 1.000000
+dualbound = 2565528.214007, lowerbound=1168491.214007, norm of subgrad 1081.643293 dualbound = 2565528.214007, lowerbound=1168491.214007, norm of subgrad 40.758894 stepsize= 1.000000
+dualbound = 2565709.472210, lowerbound=1165393.472210, norm of subgrad 1080.225195 dualbound = 2565709.472210, lowerbound=1165393.472210, norm of subgrad 40.917700 stepsize= 1.000000
+dualbound = 2565880.598802, lowerbound=1169040.598802, norm of subgrad 1081.918019 dualbound = 2565880.598802, lowerbound=1169040.598802, norm of subgrad 40.952736 stepsize= 1.000000
+dualbound = 2566062.971154, lowerbound=1168682.971154, norm of subgrad 1081.718065 dualbound = 2566062.971154, lowerbound=1168682.971154, norm of subgrad 40.166807 stepsize= 1.000000
+dualbound = 2566243.794375, lowerbound=1164514.794375, norm of subgrad 1079.782753 dualbound = 2566243.794375, lowerbound=1164514.794375, norm of subgrad 39.960271 stepsize= 1.000000
+dualbound = 2566434.658684, lowerbound=1166589.658684, norm of subgrad 1080.784279 dualbound = 2566434.658684, lowerbound=1166589.658684, norm of subgrad 41.180873 stepsize= 1.000000
+dualbound = 2566593.014219, lowerbound=1166360.014219, norm of subgrad 1080.642871 dualbound = 2566593.014219, lowerbound=1166360.014219, norm of subgrad 39.841631 stepsize= 1.000000
+dualbound = 2566793.428693, lowerbound=1170319.428693, norm of subgrad 1082.471445 dualbound = 2566793.428693, lowerbound=1170319.428693, norm of subgrad 40.316429 stepsize= 1.000000
+dualbound = 2566962.142591, lowerbound=1165735.142591, norm of subgrad 1080.357877 dualbound = 2566962.142591, lowerbound=1165735.142591, norm of subgrad 40.083836 stepsize= 1.000000
+dualbound = 2567145.509577, lowerbound=1171137.509577, norm of subgrad 1082.855258 dualbound = 2567145.509577, lowerbound=1171137.509577, norm of subgrad 40.266202 stepsize= 1.000000
+dualbound = 2567319.754944, lowerbound=1165944.754944, norm of subgrad 1080.466915 dualbound = 2567319.754944, lowerbound=1165944.754944, norm of subgrad 40.475244 stepsize= 1.000000
+dualbound = 2567504.755763, lowerbound=1169178.755763, norm of subgrad 1081.984637 dualbound = 2567504.755763, lowerbound=1169178.755763, norm of subgrad 41.194670 stepsize= 1.000000
+dualbound = 2567632.605333, lowerbound=1168181.605333, norm of subgrad 1081.548707 dualbound = 2567632.605333, lowerbound=1168181.605333, norm of subgrad 41.156404 stepsize= 1.000000
+dualbound = 2567861.058478, lowerbound=1169760.058478, norm of subgrad 1082.223664 dualbound = 2567861.058478, lowerbound=1169760.058478, norm of subgrad 40.944513 stepsize= 1.000000
+dualbound = 2568034.165414, lowerbound=1166240.165414, norm of subgrad 1080.611940 dualbound = 2568034.165414, lowerbound=1166240.165414, norm of subgrad 40.683005 stepsize= 1.000000
+dualbound = 2568194.567359, lowerbound=1164564.567359, norm of subgrad 1079.865069 dualbound = 2568194.567359, lowerbound=1164564.567359, norm of subgrad 41.284403 stepsize= 1.000000
+dualbound = 2568376.717650, lowerbound=1168842.717650, norm of subgrad 1081.808078 dualbound = 2568376.717650, lowerbound=1168842.717650, norm of subgrad 40.597417 stepsize= 1.000000
+dualbound = 2568587.053144, lowerbound=1167097.053144, norm of subgrad 1081.002800 dualbound = 2568587.053144, lowerbound=1167097.053144, norm of subgrad 40.991895 stepsize= 1.000000
+dualbound = 2568748.291972, lowerbound=1169320.291972, norm of subgrad 1082.038027 dualbound = 2568748.291972, lowerbound=1169320.291972, norm of subgrad 40.586190 stepsize= 1.000000
+dualbound = 2568946.250232, lowerbound=1167853.250232, norm of subgrad 1081.332627 dualbound = 2568946.250232, lowerbound=1167853.250232, norm of subgrad 40.310771 stepsize= 1.000000
+dualbound = 2569112.689845, lowerbound=1167990.689845, norm of subgrad 1081.370746 dualbound = 2569112.689845, lowerbound=1167990.689845, norm of subgrad 39.222948 stepsize= 1.000000
+dualbound = 2569293.125816, lowerbound=1166010.125816, norm of subgrad 1080.455981 dualbound = 2569293.125816, lowerbound=1166010.125816, norm of subgrad 39.439016 stepsize= 1.000000
+dualbound = 2569480.595466, lowerbound=1166117.595466, norm of subgrad 1080.518670 dualbound = 2569480.595466, lowerbound=1166117.595466, norm of subgrad 39.880693 stepsize= 1.000000
+dualbound = 2569655.611444, lowerbound=1165966.611444, norm of subgrad 1080.448801 dualbound = 2569655.611444, lowerbound=1165966.611444, norm of subgrad 39.724249 stepsize= 1.000000
+dualbound = 2569812.751784, lowerbound=1169575.751784, norm of subgrad 1082.155604 dualbound = 2569812.751784, lowerbound=1169575.751784, norm of subgrad 40.523331 stepsize= 1.000000
+dualbound = 2569983.667639, lowerbound=1169937.667639, norm of subgrad 1082.320039 dualbound = 2569983.667639, lowerbound=1169937.667639, norm of subgrad 40.619156 stepsize= 1.000000
+dualbound = 2570170.339906, lowerbound=1169836.339906, norm of subgrad 1082.274614 dualbound = 2570170.339906, lowerbound=1169836.339906, norm of subgrad 40.849385 stepsize= 1.000000
+dualbound = 2570353.536153, lowerbound=1165937.536153, norm of subgrad 1080.489026 dualbound = 2570353.536153, lowerbound=1165937.536153, norm of subgrad 41.257681 stepsize= 1.000000
+dualbound = 2570511.146080, lowerbound=1171663.146080, norm of subgrad 1083.139948 dualbound = 2570511.146080, lowerbound=1171663.146080, norm of subgrad 41.068357 stepsize= 1.000000
+dualbound = 2570704.152311, lowerbound=1167050.152311, norm of subgrad 1080.960292 dualbound = 2570704.152311, lowerbound=1167050.152311, norm of subgrad 40.224448 stepsize= 1.000000
+dualbound = 2570901.120553, lowerbound=1168911.120553, norm of subgrad 1081.847087 dualbound = 2570901.120553, lowerbound=1168911.120553, norm of subgrad 40.975215 stepsize= 1.000000
+dualbound = 2571050.121516, lowerbound=1166748.121516, norm of subgrad 1080.851572 dualbound = 2571050.121516, lowerbound=1166748.121516, norm of subgrad 40.509270 stepsize= 1.000000
+dualbound = 2571239.725988, lowerbound=1165709.725988, norm of subgrad 1080.384064 dualbound = 2571239.725988, lowerbound=1165709.725988, norm of subgrad 41.347364 stepsize= 1.000000
+dualbound = 2571399.693184, lowerbound=1170936.693184, norm of subgrad 1082.810091 dualbound = 2571399.693184, lowerbound=1170936.693184, norm of subgrad 41.242784 stepsize= 1.000000
+dualbound = 2571589.706816, lowerbound=1168061.706816, norm of subgrad 1081.461376 dualbound = 2571589.706816, lowerbound=1168061.706816, norm of subgrad 41.073272 stepsize= 1.000000
+dualbound = 2571757.804872, lowerbound=1165634.804872, norm of subgrad 1080.357258 dualbound = 2571757.804872, lowerbound=1165634.804872, norm of subgrad 41.292833 stepsize= 1.000000
+dualbound = 2571951.192835, lowerbound=1171309.192835, norm of subgrad 1082.969156 dualbound = 2571951.192835, lowerbound=1171309.192835, norm of subgrad 41.308449 stepsize= 1.000000
+dualbound = 2572145.302991, lowerbound=1169549.302991, norm of subgrad 1082.151701 dualbound = 2572145.302991, lowerbound=1169549.302991, norm of subgrad 41.195997 stepsize= 1.000000
+dualbound = 2572319.107778, lowerbound=1169899.107778, norm of subgrad 1082.299454 dualbound = 2572319.107778, lowerbound=1169899.107778, norm of subgrad 40.580843 stepsize= 1.000000
+dualbound = 2572482.405330, lowerbound=1167096.405330, norm of subgrad 1080.994175 dualbound = 2572482.405330, lowerbound=1167096.405330, norm of subgrad 40.190765 stepsize= 1.000000
+dualbound = 2572672.383544, lowerbound=1166581.383544, norm of subgrad 1080.752230 dualbound = 2572672.383544, lowerbound=1166581.383544, norm of subgrad 40.422496 stepsize= 1.000000
+dualbound = 2572850.225669, lowerbound=1166552.225669, norm of subgrad 1080.747994 dualbound = 2572850.225669, lowerbound=1166552.225669, norm of subgrad 40.519651 stepsize= 1.000000
+dualbound = 2573039.322622, lowerbound=1167864.322622, norm of subgrad 1081.379361 dualbound = 2573039.322622, lowerbound=1167864.322622, norm of subgrad 41.304926 stepsize= 1.000000
+dualbound = 2573200.271287, lowerbound=1167326.271287, norm of subgrad 1081.119453 dualbound = 2573200.271287, lowerbound=1167326.271287, norm of subgrad 40.668768 stepsize= 1.000000
+dualbound = 2573382.711062, lowerbound=1168114.711062, norm of subgrad 1081.508073 dualbound = 2573382.711062, lowerbound=1168114.711062, norm of subgrad 41.562480 stepsize= 1.000000
+dualbound = 2573534.289174, lowerbound=1170342.289174, norm of subgrad 1082.533274 dualbound = 2573534.289174, lowerbound=1170342.289174, norm of subgrad 41.080143 stepsize= 1.000000
+dualbound = 2573723.757365, lowerbound=1165515.757365, norm of subgrad 1080.303549 dualbound = 2573723.757365, lowerbound=1165515.757365, norm of subgrad 41.586875 stepsize= 1.000000
+dualbound = 2573900.618725, lowerbound=1167418.618725, norm of subgrad 1081.164936 dualbound = 2573900.618725, lowerbound=1167418.618725, norm of subgrad 40.937286 stepsize= 1.000000
+dualbound = 2574088.882953, lowerbound=1163950.882953, norm of subgrad 1079.530399 dualbound = 2574088.882953, lowerbound=1163950.882953, norm of subgrad 40.289753 stepsize= 1.000000
+dualbound = 2574281.806900, lowerbound=1169719.806900, norm of subgrad 1082.209225 dualbound = 2574281.806900, lowerbound=1169719.806900, norm of subgrad 40.619256 stepsize= 1.000000
+dualbound = 2574433.251180, lowerbound=1167529.251180, norm of subgrad 1081.233209 dualbound = 2574433.251180, lowerbound=1167529.251180, norm of subgrad 41.078514 stepsize= 1.000000
+dualbound = 2574616.855936, lowerbound=1171883.855936, norm of subgrad 1083.233519 dualbound = 2574616.855936, lowerbound=1171883.855936, norm of subgrad 41.165577 stepsize= 1.000000
+dualbound = 2574805.592259, lowerbound=1168255.592259, norm of subgrad 1081.533445 dualbound = 2574805.592259, lowerbound=1168255.592259, norm of subgrad 40.592319 stepsize= 1.000000
+dualbound = 2574986.003466, lowerbound=1172952.003466, norm of subgrad 1083.722291 dualbound = 2574986.003466, lowerbound=1172952.003466, norm of subgrad 41.017206 stepsize= 1.000000
+dualbound = 2575158.690944, lowerbound=1166451.690944, norm of subgrad 1080.728315 dualbound = 2575158.690944, lowerbound=1166451.690944, norm of subgrad 41.166582 stepsize= 1.000000
+dualbound = 2575341.495760, lowerbound=1170479.495760, norm of subgrad 1082.575400 dualbound = 2575341.495760, lowerbound=1170479.495760, norm of subgrad 40.899937 stepsize= 1.000000
+dualbound = 2575515.948041, lowerbound=1163792.948041, norm of subgrad 1079.438719 dualbound = 2575515.948041, lowerbound=1163792.948041, norm of subgrad 39.616313 stepsize= 1.000000
+dualbound = 2575723.247143, lowerbound=1167015.247143, norm of subgrad 1080.928882 dualbound = 2575723.247143, lowerbound=1167015.247143, norm of subgrad 39.991238 stepsize= 1.000000
+dualbound = 2575907.742849, lowerbound=1170326.742849, norm of subgrad 1082.465123 dualbound = 2575907.742849, lowerbound=1170326.742849, norm of subgrad 39.855937 stepsize= 1.000000
+dualbound = 2576072.869815, lowerbound=1168816.869815, norm of subgrad 1081.808611 dualbound = 2576072.869815, lowerbound=1168816.869815, norm of subgrad 40.720105 stepsize= 1.000000
+dualbound = 2576208.290854, lowerbound=1165728.290854, norm of subgrad 1080.419498 dualbound = 2576208.290854, lowerbound=1165728.290854, norm of subgrad 41.393490 stepsize= 1.000000
+dualbound = 2576397.264937, lowerbound=1171846.264937, norm of subgrad 1083.224476 dualbound = 2576397.264937, lowerbound=1171846.264937, norm of subgrad 41.448451 stepsize= 1.000000
+dualbound = 2576564.853664, lowerbound=1164366.853664, norm of subgrad 1079.736474 dualbound = 2576564.853664, lowerbound=1164366.853664, norm of subgrad 40.392929 stepsize= 1.000000
+dualbound = 2576779.885823, lowerbound=1172285.885823, norm of subgrad 1083.387228 dualbound = 2576779.885823, lowerbound=1172285.885823, norm of subgrad 40.706660 stepsize= 1.000000
+dualbound = 2576963.705115, lowerbound=1169164.705115, norm of subgrad 1081.961508 dualbound = 2576963.705115, lowerbound=1169164.705115, norm of subgrad 40.740880 stepsize= 1.000000
+dualbound = 2577127.937211, lowerbound=1168867.937211, norm of subgrad 1081.826205 dualbound = 2577127.937211, lowerbound=1168867.937211, norm of subgrad 40.549132 stepsize= 1.000000
+dualbound = 2577311.185117, lowerbound=1165779.185117, norm of subgrad 1080.393533 dualbound = 2577311.185117, lowerbound=1165779.185117, norm of subgrad 40.672447 stepsize= 1.000000
+dualbound = 2577496.091327, lowerbound=1170307.091327, norm of subgrad 1082.488841 dualbound = 2577496.091327, lowerbound=1170307.091327, norm of subgrad 40.741947 stepsize= 1.000000
+dualbound = 2577665.195235, lowerbound=1169198.195235, norm of subgrad 1081.978833 dualbound = 2577665.195235, lowerbound=1169198.195235, norm of subgrad 40.609160 stepsize= 1.000000
+dualbound = 2577826.600782, lowerbound=1170105.600782, norm of subgrad 1082.401774 dualbound = 2577826.600782, lowerbound=1170105.600782, norm of subgrad 40.612874 stepsize= 1.000000
+dualbound = 2577995.570429, lowerbound=1166886.570429, norm of subgrad 1080.919317 dualbound = 2577995.570429, lowerbound=1166886.570429, norm of subgrad 40.853025 stepsize= 1.000000
+dualbound = 2578192.208291, lowerbound=1168244.208291, norm of subgrad 1081.554533 dualbound = 2578192.208291, lowerbound=1168244.208291, norm of subgrad 41.384029 stepsize= 1.000000
+dualbound = 2578353.826006, lowerbound=1167636.826006, norm of subgrad 1081.275093 dualbound = 2578353.826006, lowerbound=1167636.826006, norm of subgrad 40.995338 stepsize= 1.000000
+dualbound = 2578525.201873, lowerbound=1171698.201873, norm of subgrad 1083.137204 dualbound = 2578525.201873, lowerbound=1171698.201873, norm of subgrad 40.735437 stepsize= 1.000000
+dualbound = 2578714.153538, lowerbound=1169751.153538, norm of subgrad 1082.224170 dualbound = 2578714.153538, lowerbound=1169751.153538, norm of subgrad 40.582652 stepsize= 1.000000
+dualbound = 2578895.241859, lowerbound=1170598.241859, norm of subgrad 1082.634399 dualbound = 2578895.241859, lowerbound=1170598.241859, norm of subgrad 40.988880 stepsize= 1.000000
+dualbound = 2579074.784269, lowerbound=1163320.784269, norm of subgrad 1079.229255 dualbound = 2579074.784269, lowerbound=1163320.784269, norm of subgrad 39.931722 stepsize= 1.000000
+dualbound = 2579259.392223, lowerbound=1170795.392223, norm of subgrad 1082.703742 dualbound = 2579259.392223, lowerbound=1170795.392223, norm of subgrad 40.455011 stepsize= 1.000000
+dualbound = 2579445.894748, lowerbound=1170180.894748, norm of subgrad 1082.419925 dualbound = 2579445.894748, lowerbound=1170180.894748, norm of subgrad 40.478420 stepsize= 1.000000
+dualbound = 2579599.990446, lowerbound=1170283.990446, norm of subgrad 1082.455999 dualbound = 2579599.990446, lowerbound=1170283.990446, norm of subgrad 39.762994 stepsize= 1.000000
+dualbound = 2579799.395920, lowerbound=1169837.395920, norm of subgrad 1082.262166 dualbound = 2579799.395920, lowerbound=1169837.395920, norm of subgrad 40.662089 stepsize= 1.000000
+dualbound = 2579954.118378, lowerbound=1168536.118378, norm of subgrad 1081.689936 dualbound = 2579954.118378, lowerbound=1168536.118378, norm of subgrad 40.886703 stepsize= 1.000000
+dualbound = 2580117.164961, lowerbound=1169362.164961, norm of subgrad 1082.095266 dualbound = 2580117.164961, lowerbound=1169362.164961, norm of subgrad 41.605848 stepsize= 1.000000
+dualbound = 2580308.068884, lowerbound=1164581.068884, norm of subgrad 1079.858819 dualbound = 2580308.068884, lowerbound=1164581.068884, norm of subgrad 41.290482 stepsize= 1.000000
+dualbound = 2580474.596642, lowerbound=1173150.596642, norm of subgrad 1083.797766 dualbound = 2580474.596642, lowerbound=1173150.596642, norm of subgrad 40.416924 stepsize= 1.000000
+dualbound = 2580686.288314, lowerbound=1167172.288314, norm of subgrad 1081.005684 dualbound = 2580686.288314, lowerbound=1167172.288314, norm of subgrad 40.158333 stepsize= 1.000000
+dualbound = 2580852.631439, lowerbound=1170702.631439, norm of subgrad 1082.673834 dualbound = 2580852.631439, lowerbound=1170702.631439, norm of subgrad 40.575154 stepsize= 1.000000
+dualbound = 2581035.824691, lowerbound=1170905.824691, norm of subgrad 1082.745965 dualbound = 2581035.824691, lowerbound=1170905.824691, norm of subgrad 40.201906 stepsize= 1.000000
+dualbound = 2581194.645616, lowerbound=1170922.645616, norm of subgrad 1082.826692 dualbound = 2581194.645616, lowerbound=1170922.645616, norm of subgrad 41.830861 stepsize= 1.000000
+dualbound = 2581346.662307, lowerbound=1167989.662307, norm of subgrad 1081.444711 dualbound = 2581346.662307, lowerbound=1167989.662307, norm of subgrad 41.048955 stepsize= 1.000000
+dualbound = 2581550.499925, lowerbound=1163889.499925, norm of subgrad 1079.531611 dualbound = 2581550.499925, lowerbound=1163889.499925, norm of subgrad 41.265453 stepsize= 1.000000
+dualbound = 2581730.487000, lowerbound=1170642.487000, norm of subgrad 1082.664069 dualbound = 2581730.487000, lowerbound=1170642.487000, norm of subgrad 41.218771 stepsize= 1.000000
+dualbound = 2581908.534232, lowerbound=1170892.534232, norm of subgrad 1082.774461 dualbound = 2581908.534232, lowerbound=1170892.534232, norm of subgrad 41.061505 stepsize= 1.000000
+dualbound = 2582087.058148, lowerbound=1170946.058148, norm of subgrad 1082.762697 dualbound = 2582087.058148, lowerbound=1170946.058148, norm of subgrad 40.093939 stepsize= 1.000000
+dualbound = 2582288.676268, lowerbound=1166633.676268, norm of subgrad 1080.793540 dualbound = 2582288.676268, lowerbound=1166633.676268, norm of subgrad 41.019728 stepsize= 1.000000
+dualbound = 2582412.098162, lowerbound=1170565.098162, norm of subgrad 1082.612626 dualbound = 2582412.098162, lowerbound=1170565.098162, norm of subgrad 40.105136 stepsize= 1.000000
+dualbound = 2582628.395280, lowerbound=1167824.395280, norm of subgrad 1081.318360 dualbound = 2582628.395280, lowerbound=1167824.395280, norm of subgrad 40.512925 stepsize= 1.000000
+dualbound = 2582805.148436, lowerbound=1171521.148436, norm of subgrad 1083.047159 dualbound = 2582805.148436, lowerbound=1171521.148436, norm of subgrad 40.580206 stepsize= 1.000000
+dualbound = 2582960.011988, lowerbound=1169115.011988, norm of subgrad 1081.943627 dualbound = 2582960.011988, lowerbound=1169115.011988, norm of subgrad 40.519915 stepsize= 1.000000
+dualbound = 2583136.200753, lowerbound=1170472.200753, norm of subgrad 1082.569721 dualbound = 2583136.200753, lowerbound=1170472.200753, norm of subgrad 40.757684 stepsize= 1.000000
+dualbound = 2583335.426762, lowerbound=1166718.426762, norm of subgrad 1080.835523 dualbound = 2583335.426762, lowerbound=1166718.426762, norm of subgrad 41.063682 stepsize= 1.000000
+dualbound = 2583508.948880, lowerbound=1174541.948880, norm of subgrad 1084.486030 dualbound = 2583508.948880, lowerbound=1174541.948880, norm of subgrad 41.731548 stepsize= 1.000000
+dualbound = 2583673.113061, lowerbound=1170796.113061, norm of subgrad 1082.741018 dualbound = 2583673.113061, lowerbound=1170796.113061, norm of subgrad 41.184514 stepsize= 1.000000
+dualbound = 2583842.402577, lowerbound=1169699.402577, norm of subgrad 1082.212734 dualbound = 2583842.402577, lowerbound=1169699.402577, norm of subgrad 40.672958 stepsize= 1.000000
+dualbound = 2584032.493433, lowerbound=1169511.493433, norm of subgrad 1082.095880 dualbound = 2584032.493433, lowerbound=1169511.493433, norm of subgrad 40.125937 stepsize= 1.000000
+dualbound = 2584230.221352, lowerbound=1169628.221352, norm of subgrad 1082.137801 dualbound = 2584230.221352, lowerbound=1169628.221352, norm of subgrad 39.896465 stepsize= 1.000000
+dualbound = 2584384.820332, lowerbound=1171665.820332, norm of subgrad 1083.114869 dualbound = 2584384.820332, lowerbound=1171665.820332, norm of subgrad 40.331117 stepsize= 1.000000
+dualbound = 2584566.035625, lowerbound=1168986.035625, norm of subgrad 1081.852594 dualbound = 2584566.035625, lowerbound=1168986.035625, norm of subgrad 40.002691 stepsize= 1.000000
+dualbound = 2584739.535688, lowerbound=1168738.535688, norm of subgrad 1081.743748 dualbound = 2584739.535688, lowerbound=1168738.535688, norm of subgrad 40.056211 stepsize= 1.000000
+dualbound = 2584931.776327, lowerbound=1172167.776327, norm of subgrad 1083.338256 dualbound = 2584931.776327, lowerbound=1172167.776327, norm of subgrad 40.573891 stepsize= 1.000000
+dualbound = 2585079.206777, lowerbound=1166894.206777, norm of subgrad 1080.902959 dualbound = 2585079.206777, lowerbound=1166894.206777, norm of subgrad 40.055342 stepsize= 1.000000
+dualbound = 2585256.879429, lowerbound=1171368.879429, norm of subgrad 1082.979630 dualbound = 2585256.879429, lowerbound=1171368.879429, norm of subgrad 40.665374 stepsize= 1.000000
+dualbound = 2585436.770531, lowerbound=1169583.770531, norm of subgrad 1082.186107 dualbound = 2585436.770531, lowerbound=1169583.770531, norm of subgrad 41.507723 stepsize= 1.000000
+dualbound = 2585600.315091, lowerbound=1165338.315091, norm of subgrad 1080.192721 dualbound = 2585600.315091, lowerbound=1165338.315091, norm of subgrad 40.515979 stepsize= 1.000000
+dualbound = 2585813.504261, lowerbound=1170415.504261, norm of subgrad 1082.511203 dualbound = 2585813.504261, lowerbound=1170415.504261, norm of subgrad 40.350826 stepsize= 1.000000
+dualbound = 2585992.349211, lowerbound=1174273.349211, norm of subgrad 1084.295785 dualbound = 2585992.349211, lowerbound=1174273.349211, norm of subgrad 40.035546 stepsize= 1.000000
+dualbound = 2586161.221740, lowerbound=1166853.221740, norm of subgrad 1080.911292 dualbound = 2586161.221740, lowerbound=1166853.221740, norm of subgrad 41.047199 stepsize= 1.000000
+dualbound = 2586294.769710, lowerbound=1168604.769710, norm of subgrad 1081.746629 dualbound = 2586294.769710, lowerbound=1168604.769710, norm of subgrad 41.286172 stepsize= 1.000000
+dualbound = 2586470.508600, lowerbound=1168824.508600, norm of subgrad 1081.812141 dualbound = 2586470.508600, lowerbound=1168824.508600, norm of subgrad 40.850201 stepsize= 1.000000
+dualbound = 2586697.512170, lowerbound=1168909.512170, norm of subgrad 1081.808907 dualbound = 2586697.512170, lowerbound=1168909.512170, norm of subgrad 40.348526 stepsize= 1.000000
+dualbound = 2586885.563295, lowerbound=1170996.563295, norm of subgrad 1082.770781 dualbound = 2586885.563295, lowerbound=1170996.563295, norm of subgrad 39.800140 stepsize= 1.000000
+dualbound = 2587048.682864, lowerbound=1172193.682864, norm of subgrad 1083.385750 dualbound = 2587048.682864, lowerbound=1172193.682864, norm of subgrad 41.159684 stepsize= 1.000000
+dualbound = 2587180.302365, lowerbound=1167084.302365, norm of subgrad 1081.022804 dualbound = 2587180.302365, lowerbound=1167084.302365, norm of subgrad 40.713874 stepsize= 1.000000
+dualbound = 2587391.481173, lowerbound=1173657.481173, norm of subgrad 1084.050036 dualbound = 2587391.481173, lowerbound=1173657.481173, norm of subgrad 41.450920 stepsize= 1.000000
+dualbound = 2587541.942091, lowerbound=1172261.942091, norm of subgrad 1083.404791 dualbound = 2587541.942091, lowerbound=1172261.942091, norm of subgrad 40.675065 stepsize= 1.000000
+dualbound = 2587742.078296, lowerbound=1165103.078296, norm of subgrad 1080.059757 dualbound = 2587742.078296, lowerbound=1165103.078296, norm of subgrad 40.325379 stepsize= 1.000000
+dualbound = 2587923.877500, lowerbound=1169418.877500, norm of subgrad 1082.078499 dualbound = 2587923.877500, lowerbound=1169418.877500, norm of subgrad 40.703798 stepsize= 1.000000
+dualbound = 2588098.540271, lowerbound=1166900.540271, norm of subgrad 1080.919303 dualbound = 2588098.540271, lowerbound=1166900.540271, norm of subgrad 40.751230 stepsize= 1.000000
+dualbound = 2588264.371327, lowerbound=1174185.371327, norm of subgrad 1084.285650 dualbound = 2588264.371327, lowerbound=1174185.371327, norm of subgrad 40.691904 stepsize= 1.000000
+dualbound = 2588461.047317, lowerbound=1170117.047317, norm of subgrad 1082.377498 dualbound = 2588461.047317, lowerbound=1170117.047317, norm of subgrad 40.257620 stepsize= 1.000000
+dualbound = 2588629.568754, lowerbound=1170064.568754, norm of subgrad 1082.364342 dualbound = 2588629.568754, lowerbound=1170064.568754, norm of subgrad 40.205988 stepsize= 1.000000
+dualbound = 2588798.665039, lowerbound=1168407.665039, norm of subgrad 1081.612068 dualbound = 2588798.665039, lowerbound=1168407.665039, norm of subgrad 40.572112 stepsize= 1.000000
+dualbound = 2588958.381972, lowerbound=1170322.381972, norm of subgrad 1082.459414 dualbound = 2588958.381972, lowerbound=1170322.381972, norm of subgrad 39.442578 stepsize= 1.000000
+dualbound = 2589164.972498, lowerbound=1169942.972498, norm of subgrad 1082.286456 dualbound = 2589164.972498, lowerbound=1169942.972498, norm of subgrad 40.094769 stepsize= 1.000000
+dualbound = 2589322.657365, lowerbound=1169998.657365, norm of subgrad 1082.333894 dualbound = 2589322.657365, lowerbound=1169998.657365, norm of subgrad 40.070998 stepsize= 1.000000
+dualbound = 2589486.795818, lowerbound=1170042.795818, norm of subgrad 1082.382463 dualbound = 2589486.795818, lowerbound=1170042.795818, norm of subgrad 40.904015 stepsize= 1.000000
+dualbound = 2589665.781093, lowerbound=1169923.781093, norm of subgrad 1082.308080 dualbound = 2589665.781093, lowerbound=1169923.781093, norm of subgrad 40.570744 stepsize= 1.000000
+dualbound = 2589866.276765, lowerbound=1168601.276765, norm of subgrad 1081.661350 dualbound = 2589866.276765, lowerbound=1168601.276765, norm of subgrad 39.881019 stepsize= 1.000000
+dualbound = 2590029.511075, lowerbound=1168683.511075, norm of subgrad 1081.752981 dualbound = 2590029.511075, lowerbound=1168683.511075, norm of subgrad 40.856264 stepsize= 1.000000
+dualbound = 2590190.054367, lowerbound=1171602.054367, norm of subgrad 1083.106206 dualbound = 2590190.054367, lowerbound=1171602.054367, norm of subgrad 40.957823 stepsize= 1.000000
+dualbound = 2590356.867203, lowerbound=1170295.867203, norm of subgrad 1082.508599 dualbound = 2590356.867203, lowerbound=1170295.867203, norm of subgrad 41.180248 stepsize= 1.000000
+dualbound = 2590553.390608, lowerbound=1167901.390608, norm of subgrad 1081.378468 dualbound = 2590553.390608, lowerbound=1167901.390608, norm of subgrad 40.920941 stepsize= 1.000000
+dualbound = 2590717.868112, lowerbound=1175132.868112, norm of subgrad 1084.705890 dualbound = 2590717.868112, lowerbound=1175132.868112, norm of subgrad 40.230306 stepsize= 1.000000
+dualbound = 2590910.824724, lowerbound=1171156.824724, norm of subgrad 1082.890495 dualbound = 2590910.824724, lowerbound=1171156.824724, norm of subgrad 41.084749 stepsize= 1.000000
+dualbound = 2591078.250074, lowerbound=1167230.250074, norm of subgrad 1081.045443 dualbound = 2591078.250074, lowerbound=1167230.250074, norm of subgrad 39.955292 stepsize= 1.000000
+dualbound = 2591274.348456, lowerbound=1170525.348456, norm of subgrad 1082.606738 dualbound = 2591274.348456, lowerbound=1170525.348456, norm of subgrad 41.329147 stepsize= 1.000000
+dualbound = 2591396.314001, lowerbound=1167265.314001, norm of subgrad 1081.093573 dualbound = 2591396.314001, lowerbound=1167265.314001, norm of subgrad 40.248796 stepsize= 1.000000
+dualbound = 2591604.615842, lowerbound=1174301.615842, norm of subgrad 1084.353086 dualbound = 2591604.615842, lowerbound=1174301.615842, norm of subgrad 41.572850 stepsize= 1.000000
+dualbound = 2591758.973326, lowerbound=1169521.973326, norm of subgrad 1082.141383 dualbound = 2591758.973326, lowerbound=1169521.973326, norm of subgrad 40.772018 stepsize= 1.000000
+dualbound = 2591957.429184, lowerbound=1170903.429184, norm of subgrad 1082.768410 dualbound = 2591957.429184, lowerbound=1170903.429184, norm of subgrad 41.017751 stepsize= 1.000000
+dualbound = 2592102.509657, lowerbound=1174448.509657, norm of subgrad 1084.405141 dualbound = 2592102.509657, lowerbound=1174448.509657, norm of subgrad 40.386637 stepsize= 1.000000
+dualbound = 2592317.284117, lowerbound=1170601.284117, norm of subgrad 1082.608094 dualbound = 2592317.284117, lowerbound=1170601.284117, norm of subgrad 40.666626 stepsize= 1.000000
+dualbound = 2592451.380219, lowerbound=1167371.380219, norm of subgrad 1081.155114 dualbound = 2592451.380219, lowerbound=1167371.380219, norm of subgrad 40.732003 stepsize= 1.000000
+dualbound = 2592648.144892, lowerbound=1169145.144892, norm of subgrad 1081.948772 dualbound = 2592648.144892, lowerbound=1169145.144892, norm of subgrad 40.801528 stepsize= 1.000000
+dualbound = 2592827.033785, lowerbound=1168868.033785, norm of subgrad 1081.823014 dualbound = 2592827.033785, lowerbound=1168868.033785, norm of subgrad 40.643436 stepsize= 1.000000
+dualbound = 2593001.505533, lowerbound=1170781.505533, norm of subgrad 1082.715801 dualbound = 2593001.505533, lowerbound=1170781.505533, norm of subgrad 40.822442 stepsize= 1.000000
+dualbound = 2593180.191850, lowerbound=1169790.191850, norm of subgrad 1082.233890 dualbound = 2593180.191850, lowerbound=1169790.191850, norm of subgrad 40.232901 stepsize= 1.000000
+dualbound = 2593374.465198, lowerbound=1171809.465198, norm of subgrad 1083.163637 dualbound = 2593374.465198, lowerbound=1171809.465198, norm of subgrad 40.351869 stepsize= 1.000000
+dualbound = 2593539.351136, lowerbound=1171656.351136, norm of subgrad 1083.079568 dualbound = 2593539.351136, lowerbound=1171656.351136, norm of subgrad 39.621786 stepsize= 1.000000
+dualbound = 2593730.637484, lowerbound=1167961.637484, norm of subgrad 1081.390604 dualbound = 2593730.637484, lowerbound=1167961.637484, norm of subgrad 40.438674 stepsize= 1.000000
+dualbound = 2593883.704869, lowerbound=1171300.704869, norm of subgrad 1082.922760 dualbound = 2593883.704869, lowerbound=1171300.704869, norm of subgrad 39.674518 stepsize= 1.000000
+dualbound = 2594099.820344, lowerbound=1168776.820344, norm of subgrad 1081.733710 dualbound = 2594099.820344, lowerbound=1168776.820344, norm of subgrad 39.838618 stepsize= 1.000000
+dualbound = 2594252.956298, lowerbound=1171784.956298, norm of subgrad 1083.154632 dualbound = 2594252.956298, lowerbound=1171784.956298, norm of subgrad 39.901578 stepsize= 1.000000
+dualbound = 2594395.966846, lowerbound=1173572.966846, norm of subgrad 1084.000446 dualbound = 2594395.966846, lowerbound=1173572.966846, norm of subgrad 40.336219 stepsize= 1.000000
+dualbound = 2594581.849136, lowerbound=1171881.849136, norm of subgrad 1083.224284 dualbound = 2594581.849136, lowerbound=1171881.849136, norm of subgrad 40.974166 stepsize= 1.000000
+dualbound = 2594724.265154, lowerbound=1166174.265154, norm of subgrad 1080.599493 dualbound = 2594724.265154, lowerbound=1166174.265154, norm of subgrad 40.784997 stepsize= 1.000000
+dualbound = 2594894.234716, lowerbound=1175019.234716, norm of subgrad 1084.653509 dualbound = 2594894.234716, lowerbound=1175019.234716, norm of subgrad 40.298506 stepsize= 1.000000
+dualbound = 2595098.754953, lowerbound=1171091.754953, norm of subgrad 1082.852601 dualbound = 2595098.754953, lowerbound=1171091.754953, norm of subgrad 41.018535 stepsize= 1.000000
+dualbound = 2595248.772544, lowerbound=1167647.772544, norm of subgrad 1081.255646 dualbound = 2595248.772544, lowerbound=1167647.772544, norm of subgrad 40.199721 stepsize= 1.000000
+dualbound = 2595439.293490, lowerbound=1170185.293490, norm of subgrad 1082.420571 dualbound = 2595439.293490, lowerbound=1170185.293490, norm of subgrad 40.490998 stepsize= 1.000000
+dualbound = 2595624.108386, lowerbound=1171023.108386, norm of subgrad 1082.844453 dualbound = 2595624.108386, lowerbound=1171023.108386, norm of subgrad 41.398247 stepsize= 1.000000
+dualbound = 2595778.581789, lowerbound=1170439.581789, norm of subgrad 1082.569435 dualbound = 2595778.581789, lowerbound=1170439.581789, norm of subgrad 40.883657 stepsize= 1.000000
+dualbound = 2595968.235771, lowerbound=1168377.235771, norm of subgrad 1081.624351 dualbound = 2595968.235771, lowerbound=1168377.235771, norm of subgrad 41.516912 stepsize= 1.000000
+dualbound = 2596146.065038, lowerbound=1170327.065038, norm of subgrad 1082.499915 dualbound = 2596146.065038, lowerbound=1170327.065038, norm of subgrad 40.704168 stepsize= 1.000000
+dualbound = 2596315.867661, lowerbound=1169833.867661, norm of subgrad 1082.273472 dualbound = 2596315.867661, lowerbound=1169833.867661, norm of subgrad 40.642375 stepsize= 1.000000
+dualbound = 2596486.311503, lowerbound=1174176.311503, norm of subgrad 1084.284700 dualbound = 2596486.311503, lowerbound=1174176.311503, norm of subgrad 40.834346 stepsize= 1.000000
+dualbound = 2596678.958679, lowerbound=1169463.958679, norm of subgrad 1082.074840 dualbound = 2596678.958679, lowerbound=1169463.958679, norm of subgrad 40.182673 stepsize= 1.000000
+dualbound = 2596859.813394, lowerbound=1174733.813394, norm of subgrad 1084.509481 dualbound = 2596859.813394, lowerbound=1174733.813394, norm of subgrad 40.098064 stepsize= 1.000000
+dualbound = 2597020.544358, lowerbound=1172461.544358, norm of subgrad 1083.453065 dualbound = 2597020.544358, lowerbound=1172461.544358, norm of subgrad 39.619830 stepsize= 1.000000
+dualbound = 2597198.787468, lowerbound=1171349.787468, norm of subgrad 1082.947731 dualbound = 2597198.787468, lowerbound=1171349.787468, norm of subgrad 40.053004 stepsize= 1.000000
+dualbound = 2597355.808013, lowerbound=1168711.808013, norm of subgrad 1081.756353 dualbound = 2597355.808013, lowerbound=1168711.808013, norm of subgrad 40.521853 stepsize= 1.000000
+dualbound = 2597555.465062, lowerbound=1173452.465062, norm of subgrad 1083.925489 dualbound = 2597555.465062, lowerbound=1173452.465062, norm of subgrad 40.517367 stepsize= 1.000000
+dualbound = 2597718.388481, lowerbound=1168870.388481, norm of subgrad 1081.798682 dualbound = 2597718.388481, lowerbound=1168870.388481, norm of subgrad 39.760828 stepsize= 1.000000
+dualbound = 2597902.210962, lowerbound=1171516.210962, norm of subgrad 1083.037955 dualbound = 2597902.210962, lowerbound=1171516.210962, norm of subgrad 40.482372 stepsize= 1.000000
+dualbound = 2598048.802747, lowerbound=1171138.802747, norm of subgrad 1082.868322 dualbound = 2598048.802747, lowerbound=1171138.802747, norm of subgrad 40.144636 stepsize= 1.000000
+dualbound = 2598241.086818, lowerbound=1172188.086818, norm of subgrad 1083.347168 dualbound = 2598241.086818, lowerbound=1172188.086818, norm of subgrad 40.562101 stepsize= 1.000000
+dualbound = 2598425.662966, lowerbound=1171634.662966, norm of subgrad 1083.081559 dualbound = 2598425.662966, lowerbound=1171634.662966, norm of subgrad 40.194230 stepsize= 1.000000
+dualbound = 2598597.614132, lowerbound=1170252.614132, norm of subgrad 1082.479845 dualbound = 2598597.614132, lowerbound=1170252.614132, norm of subgrad 41.011598 stepsize= 1.000000
+dualbound = 2598754.659255, lowerbound=1167151.659255, norm of subgrad 1081.034994 dualbound = 2598754.659255, lowerbound=1167151.659255, norm of subgrad 40.522156 stepsize= 1.000000
+dualbound = 2598943.966714, lowerbound=1170446.966714, norm of subgrad 1082.558066 dualbound = 2598943.966714, lowerbound=1170446.966714, norm of subgrad 40.918302 stepsize= 1.000000
+dualbound = 2599102.075164, lowerbound=1174904.075164, norm of subgrad 1084.633152 dualbound = 2599102.075164, lowerbound=1174904.075164, norm of subgrad 41.025705 stepsize= 1.000000
+dualbound = 2599268.693850, lowerbound=1169745.693850, norm of subgrad 1082.237356 dualbound = 2599268.693850, lowerbound=1169745.693850, norm of subgrad 40.726143 stepsize= 1.000000
+dualbound = 2599466.062242, lowerbound=1175715.062242, norm of subgrad 1084.957632 dualbound = 2599466.062242, lowerbound=1175715.062242, norm of subgrad 40.191646 stepsize= 1.000000
+dualbound = 2599640.886552, lowerbound=1173657.886552, norm of subgrad 1084.014708 dualbound = 2599640.886552, lowerbound=1173657.886552, norm of subgrad 40.060258 stepsize= 1.000000
+dualbound = 2599813.717588, lowerbound=1170553.717588, norm of subgrad 1082.557951 dualbound = 2599813.717588, lowerbound=1170553.717588, norm of subgrad 39.380592 stepsize= 1.000000
+dualbound = 2599977.867742, lowerbound=1172131.867742, norm of subgrad 1083.306451 dualbound = 2599977.867742, lowerbound=1172131.867742, norm of subgrad 39.813944 stepsize= 1.000000
+dualbound = 2600144.110970, lowerbound=1170760.110970, norm of subgrad 1082.690681 dualbound = 2600144.110970, lowerbound=1170760.110970, norm of subgrad 40.314306 stepsize= 1.000000
+dualbound = 2600322.126872, lowerbound=1170428.126872, norm of subgrad 1082.557216 dualbound = 2600322.126872, lowerbound=1170428.126872, norm of subgrad 40.987997 stepsize= 1.000000
+dualbound = 2600466.290066, lowerbound=1171548.290066, norm of subgrad 1083.061074 dualbound = 2600466.290066, lowerbound=1171548.290066, norm of subgrad 40.213968 stepsize= 1.000000
+dualbound = 2600673.556630, lowerbound=1171506.556630, norm of subgrad 1083.027957 dualbound = 2600673.556630, lowerbound=1171506.556630, norm of subgrad 40.623473 stepsize= 1.000000
+dualbound = 2600851.195241, lowerbound=1168429.195241, norm of subgrad 1081.607690 dualbound = 2600851.195241, lowerbound=1168429.195241, norm of subgrad 40.294399 stepsize= 1.000000
+dualbound = 2601029.470237, lowerbound=1169616.470237, norm of subgrad 1082.179038 dualbound = 2601029.470237, lowerbound=1169616.470237, norm of subgrad 40.905684 stepsize= 1.000000
+dualbound = 2601179.402805, lowerbound=1172431.402805, norm of subgrad 1083.459922 dualbound = 2601179.402805, lowerbound=1172431.402805, norm of subgrad 40.049127 stepsize= 1.000000
+dualbound = 2601375.156390, lowerbound=1170366.156390, norm of subgrad 1082.494876 dualbound = 2601375.156390, lowerbound=1170366.156390, norm of subgrad 40.308232 stepsize= 1.000000
+dualbound = 2601537.232980, lowerbound=1174381.232980, norm of subgrad 1084.373198 dualbound = 2601537.232980, lowerbound=1174381.232980, norm of subgrad 40.571869 stepsize= 1.000000
+dualbound = 2601692.257891, lowerbound=1171568.257891, norm of subgrad 1083.087835 dualbound = 2601692.257891, lowerbound=1171568.257891, norm of subgrad 40.816968 stepsize= 1.000000
+dualbound = 2601891.237724, lowerbound=1172635.237724, norm of subgrad 1083.573365 dualbound = 2601891.237724, lowerbound=1172635.237724, norm of subgrad 41.170133 stepsize= 1.000000
+dualbound = 2602047.070769, lowerbound=1173240.070769, norm of subgrad 1083.832584 dualbound = 2602047.070769, lowerbound=1173240.070769, norm of subgrad 40.110261 stepsize= 1.000000
+dualbound = 2602234.265413, lowerbound=1173720.265413, norm of subgrad 1084.054088 dualbound = 2602234.265413, lowerbound=1173720.265413, norm of subgrad 40.499317 stepsize= 1.000000
+dualbound = 2602408.768894, lowerbound=1173088.768894, norm of subgrad 1083.745712 dualbound = 2602408.768894, lowerbound=1173088.768894, norm of subgrad 39.881117 stepsize= 1.000000
+dualbound = 2602594.172648, lowerbound=1169535.172648, norm of subgrad 1082.133621 dualbound = 2602594.172648, lowerbound=1169535.172648, norm of subgrad 40.784847 stepsize= 1.000000
+dualbound = 2602744.025581, lowerbound=1170158.025581, norm of subgrad 1082.420448 dualbound = 2602744.025581, lowerbound=1170158.025581, norm of subgrad 40.321867 stepsize= 1.000000
+dualbound = 2602909.486898, lowerbound=1173974.486898, norm of subgrad 1084.204541 dualbound = 2602909.486898, lowerbound=1173974.486898, norm of subgrad 41.115220 stepsize= 1.000000
+dualbound = 2603105.177242, lowerbound=1172262.177242, norm of subgrad 1083.371671 dualbound = 2603105.177242, lowerbound=1172262.177242, norm of subgrad 40.344645 stepsize= 1.000000
+dualbound = 2603295.921283, lowerbound=1169703.921283, norm of subgrad 1082.155221 dualbound = 2603295.921283, lowerbound=1169703.921283, norm of subgrad 39.328667 stepsize= 1.000000
+dualbound = 2603487.223784, lowerbound=1172790.223784, norm of subgrad 1083.589047 dualbound = 2603487.223784, lowerbound=1172790.223784, norm of subgrad 39.576540 stepsize= 1.000000
+dualbound = 2603631.655772, lowerbound=1169478.655772, norm of subgrad 1082.114900 dualbound = 2603631.655772, lowerbound=1169478.655772, norm of subgrad 40.477549 stepsize= 1.000000
+dualbound = 2603786.025679, lowerbound=1172305.025679, norm of subgrad 1083.397907 dualbound = 2603786.025679, lowerbound=1172305.025679, norm of subgrad 40.004624 stepsize= 1.000000
+dualbound = 2603983.298762, lowerbound=1171266.298762, norm of subgrad 1082.917956 dualbound = 2603983.298762, lowerbound=1171266.298762, norm of subgrad 40.524969 stepsize= 1.000000
+dualbound = 2604150.285598, lowerbound=1175542.285598, norm of subgrad 1084.917640 dualbound = 2604150.285598, lowerbound=1175542.285598, norm of subgrad 40.877706 stepsize= 1.000000
+dualbound = 2604315.302397, lowerbound=1177036.302397, norm of subgrad 1085.574181 dualbound = 2604315.302397, lowerbound=1177036.302397, norm of subgrad 40.000210 stepsize= 1.000000
+dualbound = 2604496.436522, lowerbound=1172232.436522, norm of subgrad 1083.367637 dualbound = 2604496.436522, lowerbound=1172232.436522, norm of subgrad 40.424425 stepsize= 1.000000
+dualbound = 2604665.048501, lowerbound=1173879.048501, norm of subgrad 1084.125476 dualbound = 2604665.048501, lowerbound=1173879.048501, norm of subgrad 40.219547 stepsize= 1.000000
+dualbound = 2604839.198555, lowerbound=1172258.198555, norm of subgrad 1083.376757 dualbound = 2604839.198555, lowerbound=1172258.198555, norm of subgrad 40.263508 stepsize= 1.000000
+dualbound = 2604986.861304, lowerbound=1172565.861304, norm of subgrad 1083.525201 dualbound = 2604986.861304, lowerbound=1172565.861304, norm of subgrad 40.108138 stepsize= 1.000000
+dualbound = 2605185.118238, lowerbound=1172762.118238, norm of subgrad 1083.614839 dualbound = 2605185.118238, lowerbound=1172762.118238, norm of subgrad 40.709421 stepsize= 1.000000
+dualbound = 2605372.852854, lowerbound=1169791.852854, norm of subgrad 1082.218025 dualbound = 2605372.852854, lowerbound=1169791.852854, norm of subgrad 39.896549 stepsize= 1.000000
+dualbound = 2605538.966335, lowerbound=1167233.966335, norm of subgrad 1081.061037 dualbound = 2605538.966335, lowerbound=1167233.966335, norm of subgrad 40.312696 stepsize= 1.000000
+dualbound = 2605726.485338, lowerbound=1173941.485338, norm of subgrad 1084.123833 dualbound = 2605726.485338, lowerbound=1173941.485338, norm of subgrad 39.629774 stepsize= 1.000000
+dualbound = 2605890.509371, lowerbound=1168413.509371, norm of subgrad 1081.581023 dualbound = 2605890.509371, lowerbound=1168413.509371, norm of subgrad 39.598283 stepsize= 1.000000
+dualbound = 2606052.232203, lowerbound=1174407.232203, norm of subgrad 1084.367204 dualbound = 2606052.232203, lowerbound=1174407.232203, norm of subgrad 40.083947 stepsize= 1.000000
+dualbound = 2606235.504018, lowerbound=1171709.504018, norm of subgrad 1083.136420 dualbound = 2606235.504018, lowerbound=1171709.504018, norm of subgrad 40.721884 stepsize= 1.000000
+dualbound = 2606399.769345, lowerbound=1175003.769345, norm of subgrad 1084.642692 dualbound = 2606399.769345, lowerbound=1175003.769345, norm of subgrad 40.128111 stepsize= 1.000000
+dualbound = 2606549.103493, lowerbound=1170549.103493, norm of subgrad 1082.624175 dualbound = 2606549.103493, lowerbound=1170549.103493, norm of subgrad 40.930846 stepsize= 1.000000
+dualbound = 2606735.118901, lowerbound=1172361.118901, norm of subgrad 1083.433948 dualbound = 2606735.118901, lowerbound=1172361.118901, norm of subgrad 40.669588 stepsize= 1.000000
+dualbound = 2606915.237087, lowerbound=1171126.237087, norm of subgrad 1082.850976 dualbound = 2606915.237087, lowerbound=1171126.237087, norm of subgrad 40.250692 stepsize= 1.000000
+dualbound = 2607095.200888, lowerbound=1171504.200888, norm of subgrad 1083.046721 dualbound = 2607095.200888, lowerbound=1171504.200888, norm of subgrad 40.816220 stepsize= 1.000000
+dualbound = 2607238.575132, lowerbound=1173192.575132, norm of subgrad 1083.835585 dualbound = 2607238.575132, lowerbound=1173192.575132, norm of subgrad 40.624798 stepsize= 1.000000
+dualbound = 2607412.622841, lowerbound=1170632.622841, norm of subgrad 1082.624414 dualbound = 2607412.622841, lowerbound=1170632.622841, norm of subgrad 40.212532 stepsize= 1.000000
+dualbound = 2607607.226068, lowerbound=1172544.226068, norm of subgrad 1083.493990 dualbound = 2607607.226068, lowerbound=1172544.226068, norm of subgrad 40.119861 stepsize= 1.000000
+dualbound = 2607791.544304, lowerbound=1172038.544304, norm of subgrad 1083.262916 dualbound = 2607791.544304, lowerbound=1172038.544304, norm of subgrad 40.053942 stepsize= 1.000000
+dualbound = 2607940.638061, lowerbound=1174250.638061, norm of subgrad 1084.308830 dualbound = 2607940.638061, lowerbound=1174250.638061, norm of subgrad 40.300047 stepsize= 1.000000
+dualbound = 2608117.184134, lowerbound=1172187.184134, norm of subgrad 1083.338905 dualbound = 2608117.184134, lowerbound=1172187.184134, norm of subgrad 40.156520 stepsize= 1.000000
+dualbound = 2608293.903044, lowerbound=1172523.903044, norm of subgrad 1083.489688 dualbound = 2608293.903044, lowerbound=1172523.903044, norm of subgrad 40.033972 stepsize= 1.000000
+dualbound = 2608448.969337, lowerbound=1173062.969337, norm of subgrad 1083.738884 dualbound = 2608448.969337, lowerbound=1173062.969337, norm of subgrad 39.775197 stepsize= 1.000000
+dualbound = 2608637.009572, lowerbound=1170848.009572, norm of subgrad 1082.701256 dualbound = 2608637.009572, lowerbound=1170848.009572, norm of subgrad 39.774869 stepsize= 1.000000
+dualbound = 2608843.270728, lowerbound=1170893.270728, norm of subgrad 1082.728623 dualbound = 2608843.270728, lowerbound=1170893.270728, norm of subgrad 40.177869 stepsize= 1.000000
+dualbound = 2608969.729605, lowerbound=1173038.729605, norm of subgrad 1083.754460 dualbound = 2608969.729605, lowerbound=1173038.729605, norm of subgrad 40.142980 stepsize= 1.000000
+dualbound = 2609135.876594, lowerbound=1170983.876594, norm of subgrad 1082.802326 dualbound = 2609135.876594, lowerbound=1170983.876594, norm of subgrad 40.535750 stepsize= 1.000000
+dualbound = 2609314.784045, lowerbound=1176704.784045, norm of subgrad 1085.443128 dualbound = 2609314.784045, lowerbound=1176704.784045, norm of subgrad 40.754232 stepsize= 1.000000
+dualbound = 2609501.233288, lowerbound=1171454.233288, norm of subgrad 1082.992721 dualbound = 2609501.233288, lowerbound=1171454.233288, norm of subgrad 40.068058 stepsize= 1.000000
+dualbound = 2609685.953160, lowerbound=1172651.953160, norm of subgrad 1083.577848 dualbound = 2609685.953160, lowerbound=1172651.953160, norm of subgrad 40.911122 stepsize= 1.000000
+dualbound = 2609819.612203, lowerbound=1173221.612203, norm of subgrad 1083.829605 dualbound = 2609819.612203, lowerbound=1173221.612203, norm of subgrad 39.983235 stepsize= 1.000000
+dualbound = 2610020.071326, lowerbound=1171781.071326, norm of subgrad 1083.156993 dualbound = 2610020.071326, lowerbound=1171781.071326, norm of subgrad 40.601221 stepsize= 1.000000
+dualbound = 2610186.017942, lowerbound=1172889.017942, norm of subgrad 1083.665547 dualbound = 2610186.017942, lowerbound=1172889.017942, norm of subgrad 40.099210 stepsize= 1.000000
+dualbound = 2610364.421732, lowerbound=1170753.421732, norm of subgrad 1082.658959 dualbound = 2610364.421732, lowerbound=1170753.421732, norm of subgrad 39.691357 stepsize= 1.000000
+dualbound = 2610533.266022, lowerbound=1173739.266022, norm of subgrad 1084.024108 dualbound = 2610533.266022, lowerbound=1173739.266022, norm of subgrad 39.215358 stepsize= 1.000000
+dualbound = 2610716.335476, lowerbound=1172111.335476, norm of subgrad 1083.301590 dualbound = 2610716.335476, lowerbound=1172111.335476, norm of subgrad 40.175483 stepsize= 1.000000
+dualbound = 2610844.900228, lowerbound=1173688.900228, norm of subgrad 1084.054381 dualbound = 2610844.900228, lowerbound=1173688.900228, norm of subgrad 40.169202 stepsize= 1.000000
+dualbound = 2611019.691684, lowerbound=1172086.691684, norm of subgrad 1083.310063 dualbound = 2611019.691684, lowerbound=1172086.691684, norm of subgrad 40.605313 stepsize= 1.000000
+dualbound = 2611207.766428, lowerbound=1174422.766428, norm of subgrad 1084.390505 dualbound = 2611207.766428, lowerbound=1174422.766428, norm of subgrad 40.842071 stepsize= 1.000000
+dualbound = 2611376.577821, lowerbound=1173739.577821, norm of subgrad 1084.070836 dualbound = 2611376.577821, lowerbound=1173739.577821, norm of subgrad 40.482236 stepsize= 1.000000
+dualbound = 2611556.749593, lowerbound=1172182.749593, norm of subgrad 1083.334551 dualbound = 2611556.749593, lowerbound=1172182.749593, norm of subgrad 40.139404 stepsize= 1.000000
+dualbound = 2611735.173117, lowerbound=1170532.173117, norm of subgrad 1082.550310 dualbound = 2611735.173117, lowerbound=1170532.173117, norm of subgrad 39.514852 stepsize= 1.000000
+dualbound = 2611897.609206, lowerbound=1176043.609206, norm of subgrad 1085.115482 dualbound = 2611897.609206, lowerbound=1176043.609206, norm of subgrad 39.930391 stepsize= 1.000000
+dualbound = 2612081.028475, lowerbound=1169327.028475, norm of subgrad 1082.011104 dualbound = 2612081.028475, lowerbound=1169327.028475, norm of subgrad 40.055203 stepsize= 1.000000
+dualbound = 2612208.686400, lowerbound=1174018.686400, norm of subgrad 1084.247521 dualbound = 2612208.686400, lowerbound=1174018.686400, norm of subgrad 41.251157 stepsize= 1.000000
+dualbound = 2612396.712749, lowerbound=1173587.712749, norm of subgrad 1083.977727 dualbound = 2612396.712749, lowerbound=1173587.712749, norm of subgrad 40.100204 stepsize= 1.000000
+dualbound = 2612572.488963, lowerbound=1174151.488963, norm of subgrad 1084.231751 dualbound = 2612572.488963, lowerbound=1174151.488963, norm of subgrad 39.784120 stepsize= 1.000000
+dualbound = 2612763.532726, lowerbound=1177206.532726, norm of subgrad 1085.639688 dualbound = 2612763.532726, lowerbound=1177206.532726, norm of subgrad 39.975540 stepsize= 1.000000
+dualbound = 2612929.738433, lowerbound=1166782.738433, norm of subgrad 1080.836592 dualbound = 2612929.738433, lowerbound=1166782.738433, norm of subgrad 39.889920 stepsize= 1.000000
+dualbound = 2613089.646548, lowerbound=1175376.646548, norm of subgrad 1084.815951 dualbound = 2613089.646548, lowerbound=1175376.646548, norm of subgrad 40.111197 stepsize= 1.000000
+dualbound = 2613263.361950, lowerbound=1171409.361950, norm of subgrad 1082.978930 dualbound = 2613263.361950, lowerbound=1171409.361950, norm of subgrad 40.096327 stepsize= 1.000000
+dualbound = 2613431.882562, lowerbound=1179440.882562, norm of subgrad 1086.688954 dualbound = 2613431.882562, lowerbound=1179440.882562, norm of subgrad 40.255690 stepsize= 1.000000
+dualbound = 2613604.758881, lowerbound=1172887.758881, norm of subgrad 1083.678808 dualbound = 2613604.758881, lowerbound=1172887.758881, norm of subgrad 40.557075 stepsize= 1.000000
+dualbound = 2613763.608920, lowerbound=1173505.608920, norm of subgrad 1083.973528 dualbound = 2613763.608920, lowerbound=1173505.608920, norm of subgrad 40.642958 stepsize= 1.000000
+dualbound = 2613945.699143, lowerbound=1172871.699143, norm of subgrad 1083.660325 dualbound = 2613945.699143, lowerbound=1172871.699143, norm of subgrad 40.374376 stepsize= 1.000000
+dualbound = 2614099.117322, lowerbound=1170990.117322, norm of subgrad 1082.826448 dualbound = 2614099.117322, lowerbound=1170990.117322, norm of subgrad 40.944086 stepsize= 1.000000
+dualbound = 2614268.925481, lowerbound=1173441.925481, norm of subgrad 1083.957529 dualbound = 2614268.925481, lowerbound=1173441.925481, norm of subgrad 41.131596 stepsize= 1.000000
+dualbound = 2614444.806440, lowerbound=1171883.806440, norm of subgrad 1083.193799 dualbound = 2614444.806440, lowerbound=1171883.806440, norm of subgrad 40.011010 stepsize= 1.000000
+dualbound = 2614657.544374, lowerbound=1172031.544374, norm of subgrad 1083.266608 dualbound = 2614657.544374, lowerbound=1172031.544374, norm of subgrad 40.592338 stepsize= 1.000000
+dualbound = 2614792.522054, lowerbound=1174216.522054, norm of subgrad 1084.318460 dualbound = 2614792.522054, lowerbound=1174216.522054, norm of subgrad 40.804138 stepsize= 1.000000
+dualbound = 2614963.219185, lowerbound=1175584.219185, norm of subgrad 1084.917149 dualbound = 2614963.219185, lowerbound=1175584.219185, norm of subgrad 40.394271 stepsize= 1.000000
+dualbound = 2615138.373160, lowerbound=1172542.373160, norm of subgrad 1083.506056 dualbound = 2615138.373160, lowerbound=1172542.373160, norm of subgrad 40.226285 stepsize= 1.000000
+dualbound = 2615326.891644, lowerbound=1171595.891644, norm of subgrad 1083.067353 dualbound = 2615326.891644, lowerbound=1171595.891644, norm of subgrad 40.342515 stepsize= 1.000000
+dualbound = 2615484.681696, lowerbound=1173209.681696, norm of subgrad 1083.834250 dualbound = 2615484.681696, lowerbound=1173209.681696, norm of subgrad 40.556011 stepsize= 1.000000
+dualbound = 2615672.104263, lowerbound=1171086.104263, norm of subgrad 1082.825519 dualbound = 2615672.104263, lowerbound=1171086.104263, norm of subgrad 40.154982 stepsize= 1.000000
+dualbound = 2615833.994672, lowerbound=1175397.994672, norm of subgrad 1084.820720 dualbound = 2615833.994672, lowerbound=1175397.994672, norm of subgrad 39.998630 stepsize= 1.000000
+dualbound = 2615997.886214, lowerbound=1172204.886214, norm of subgrad 1083.368306 dualbound = 2615997.886214, lowerbound=1172204.886214, norm of subgrad 40.569589 stepsize= 1.000000
+dualbound = 2616190.419739, lowerbound=1172807.419739, norm of subgrad 1083.638971 dualbound = 2616190.419739, lowerbound=1172807.419739, norm of subgrad 40.725097 stepsize= 1.000000
+dualbound = 2616332.951116, lowerbound=1172049.951116, norm of subgrad 1083.302336 dualbound = 2616332.951116, lowerbound=1172049.951116, norm of subgrad 40.454065 stepsize= 1.000000
+dualbound = 2616517.566737, lowerbound=1173073.566737, norm of subgrad 1083.782066 dualbound = 2616517.566737, lowerbound=1173073.566737, norm of subgrad 41.165709 stepsize= 1.000000
+dualbound = 2616692.950568, lowerbound=1175795.950568, norm of subgrad 1085.011498 dualbound = 2616692.950568, lowerbound=1175795.950568, norm of subgrad 40.365627 stepsize= 1.000000
+dualbound = 2616876.209479, lowerbound=1171585.209479, norm of subgrad 1083.032876 dualbound = 2616876.209479, lowerbound=1171585.209479, norm of subgrad 39.474788 stepsize= 1.000000
+dualbound = 2617043.967555, lowerbound=1174003.967555, norm of subgrad 1084.168330 dualbound = 2617043.967555, lowerbound=1174003.967555, norm of subgrad 39.809020 stepsize= 1.000000
+dualbound = 2617206.294647, lowerbound=1174111.294647, norm of subgrad 1084.192923 dualbound = 2617206.294647, lowerbound=1174111.294647, norm of subgrad 39.055436 stepsize= 1.000000
+dualbound = 2617396.294179, lowerbound=1172857.294179, norm of subgrad 1083.621841 dualbound = 2617396.294179, lowerbound=1172857.294179, norm of subgrad 39.610599 stepsize= 1.000000
+dualbound = 2617551.158901, lowerbound=1172687.158901, norm of subgrad 1083.566869 dualbound = 2617551.158901, lowerbound=1172687.158901, norm of subgrad 39.810359 stepsize= 1.000000
+dualbound = 2617712.296801, lowerbound=1172316.296801, norm of subgrad 1083.422954 dualbound = 2617712.296801, lowerbound=1172316.296801, norm of subgrad 40.621889 stepsize= 1.000000
+dualbound = 2617877.945772, lowerbound=1172901.945772, norm of subgrad 1083.696427 dualbound = 2617877.945772, lowerbound=1172901.945772, norm of subgrad 40.763329 stepsize= 1.000000
+dualbound = 2618027.168659, lowerbound=1172807.168659, norm of subgrad 1083.672999 dualbound = 2618027.168659, lowerbound=1172807.168659, norm of subgrad 41.100157 stepsize= 1.000000
+dualbound = 2618225.968514, lowerbound=1171577.968514, norm of subgrad 1083.059079 dualbound = 2618225.968514, lowerbound=1171577.968514, norm of subgrad 40.469740 stepsize= 1.000000
+dualbound = 2618417.297152, lowerbound=1174147.297152, norm of subgrad 1084.231662 dualbound = 2618417.297152, lowerbound=1174147.297152, norm of subgrad 40.029097 stepsize= 1.000000
+dualbound = 2618566.026955, lowerbound=1171590.026955, norm of subgrad 1083.060953 dualbound = 2618566.026955, lowerbound=1171590.026955, norm of subgrad 39.745815 stepsize= 1.000000
+dualbound = 2618742.802903, lowerbound=1175461.802903, norm of subgrad 1084.880087 dualbound = 2618742.802903, lowerbound=1175461.802903, norm of subgrad 40.985070 stepsize= 1.000000
+dualbound = 2618892.424594, lowerbound=1172345.424594, norm of subgrad 1083.433627 dualbound = 2618892.424594, lowerbound=1172345.424594, norm of subgrad 40.405714 stepsize= 1.000000
+dualbound = 2619069.129136, lowerbound=1175780.129136, norm of subgrad 1085.009737 dualbound = 2619069.129136, lowerbound=1175780.129136, norm of subgrad 40.530292 stepsize= 1.000000
+dualbound = 2619261.219213, lowerbound=1173181.219213, norm of subgrad 1083.799437 dualbound = 2619261.219213, lowerbound=1173181.219213, norm of subgrad 40.399135 stepsize= 1.000000
+dualbound = 2619411.431417, lowerbound=1168607.431417, norm of subgrad 1081.712731 dualbound = 2619411.431417, lowerbound=1168607.431417, norm of subgrad 40.561216 stepsize= 1.000000
+dualbound = 2619607.330902, lowerbound=1172999.330902, norm of subgrad 1083.733053 dualbound = 2619607.330902, lowerbound=1172999.330902, norm of subgrad 40.913317 stepsize= 1.000000
+dualbound = 2619767.845601, lowerbound=1175955.845601, norm of subgrad 1085.084718 dualbound = 2619767.845601, lowerbound=1175955.845601, norm of subgrad 40.168579 stepsize= 1.000000
+dualbound = 2619953.373074, lowerbound=1172231.373074, norm of subgrad 1083.349608 dualbound = 2619953.373074, lowerbound=1172231.373074, norm of subgrad 40.006593 stepsize= 1.000000
+dualbound = 2620126.216142, lowerbound=1174947.216142, norm of subgrad 1084.601870 dualbound = 2620126.216142, lowerbound=1174947.216142, norm of subgrad 39.835199 stepsize= 1.000000
+dualbound = 2620284.551210, lowerbound=1174094.551210, norm of subgrad 1084.211488 dualbound = 2620284.551210, lowerbound=1174094.551210, norm of subgrad 39.728265 stepsize= 1.000000
+dualbound = 2620453.819551, lowerbound=1170976.819551, norm of subgrad 1082.795835 dualbound = 2620453.819551, lowerbound=1170976.819551, norm of subgrad 40.487879 stepsize= 1.000000
+dualbound = 2620613.058066, lowerbound=1174999.058066, norm of subgrad 1084.628996 dualbound = 2620613.058066, lowerbound=1174999.058066, norm of subgrad 39.752214 stepsize= 1.000000
+dualbound = 2620802.829408, lowerbound=1175942.829408, norm of subgrad 1085.069044 dualbound = 2620802.829408, lowerbound=1175942.829408, norm of subgrad 40.271222 stepsize= 1.000000
+dualbound = 2620963.622391, lowerbound=1176751.622391, norm of subgrad 1085.471152 dualbound = 2620963.622391, lowerbound=1176751.622391, norm of subgrad 40.703722 stepsize= 1.000000
+dualbound = 2621121.201806, lowerbound=1174348.201806, norm of subgrad 1084.341829 dualbound = 2621121.201806, lowerbound=1174348.201806, norm of subgrad 40.082158 stepsize= 1.000000
+dualbound = 2621284.511924, lowerbound=1173124.511924, norm of subgrad 1083.769123 dualbound = 2621284.511924, lowerbound=1173124.511924, norm of subgrad 39.928813 stepsize= 1.000000
+dualbound = 2621479.604525, lowerbound=1173546.604525, norm of subgrad 1083.977216 dualbound = 2621479.604525, lowerbound=1173546.604525, norm of subgrad 40.682829 stepsize= 1.000000
+dualbound = 2621622.187089, lowerbound=1172482.187089, norm of subgrad 1083.475513 dualbound = 2621622.187089, lowerbound=1172482.187089, norm of subgrad 39.743963 stepsize= 1.000000
+dualbound = 2621825.742034, lowerbound=1175316.742034, norm of subgrad 1084.759301 dualbound = 2621825.742034, lowerbound=1175316.742034, norm of subgrad 39.869223 stepsize= 1.000000
+dualbound = 2621998.963603, lowerbound=1171850.963603, norm of subgrad 1083.181870 dualbound = 2621998.963603, lowerbound=1171850.963603, norm of subgrad 40.065216 stepsize= 1.000000
+dualbound = 2622150.735595, lowerbound=1174690.735595, norm of subgrad 1084.487776 dualbound = 2622150.735595, lowerbound=1174690.735595, norm of subgrad 39.683397 stepsize= 1.000000
+dualbound = 2622332.095531, lowerbound=1173539.095531, norm of subgrad 1083.988513 dualbound = 2622332.095531, lowerbound=1173539.095531, norm of subgrad 40.906722 stepsize= 1.000000
+dualbound = 2622461.486516, lowerbound=1176125.486516, norm of subgrad 1085.177629 dualbound = 2622461.486516, lowerbound=1176125.486516, norm of subgrad 40.179485 stepsize= 1.000000
+dualbound = 2622667.424509, lowerbound=1173731.424509, norm of subgrad 1084.066153 dualbound = 2622667.424509, lowerbound=1173731.424509, norm of subgrad 40.913787 stepsize= 1.000000
+dualbound = 2622806.322235, lowerbound=1174547.322235, norm of subgrad 1084.440557 dualbound = 2622806.322235, lowerbound=1174547.322235, norm of subgrad 40.036205 stepsize= 1.000000
+dualbound = 2623009.860345, lowerbound=1177642.860345, norm of subgrad 1085.885749 dualbound = 2623009.860345, lowerbound=1177642.860345, norm of subgrad 41.334466 stepsize= 1.000000
+dualbound = 2623137.485013, lowerbound=1175398.485013, norm of subgrad 1084.859201 dualbound = 2623137.485013, lowerbound=1175398.485013, norm of subgrad 40.603259 stepsize= 1.000000
+dualbound = 2623324.372883, lowerbound=1173671.372883, norm of subgrad 1084.080889 dualbound = 2623324.372883, lowerbound=1173671.372883, norm of subgrad 41.795788 stepsize= 1.000000
+dualbound = 2623492.887207, lowerbound=1173576.887207, norm of subgrad 1083.998564 dualbound = 2623492.887207, lowerbound=1173576.887207, norm of subgrad 40.552612 stepsize= 1.000000
+dualbound = 2623685.131355, lowerbound=1179139.131355, norm of subgrad 1086.549645 dualbound = 2623685.131355, lowerbound=1179139.131355, norm of subgrad 40.536948 stepsize= 1.000000
+dualbound = 2623870.947396, lowerbound=1173810.947396, norm of subgrad 1084.047484 dualbound = 2623870.947396, lowerbound=1173810.947396, norm of subgrad 39.163964 stepsize= 1.000000
+dualbound = 2624065.801215, lowerbound=1175242.801215, norm of subgrad 1084.725680 dualbound = 2624065.801215, lowerbound=1175242.801215, norm of subgrad 39.772526 stepsize= 1.000000
+dualbound = 2624184.833946, lowerbound=1169171.833946, norm of subgrad 1081.962492 dualbound = 2624184.833946, lowerbound=1169171.833946, norm of subgrad 39.875214 stepsize= 1.000000
+dualbound = 2624372.155362, lowerbound=1175573.155362, norm of subgrad 1084.878406 dualbound = 2624372.155362, lowerbound=1175573.155362, norm of subgrad 39.690319 stepsize= 1.000000
+dualbound = 2624526.399159, lowerbound=1175159.399159, norm of subgrad 1084.692767 dualbound = 2624526.399159, lowerbound=1175159.399159, norm of subgrad 39.411214 stepsize= 1.000000
+dualbound = 2624720.426056, lowerbound=1175985.426056, norm of subgrad 1085.089133 dualbound = 2624720.426056, lowerbound=1175985.426056, norm of subgrad 40.336421 stepsize= 1.000000
+dualbound = 2624875.179205, lowerbound=1174039.179205, norm of subgrad 1084.212239 dualbound = 2624875.179205, lowerbound=1174039.179205, norm of subgrad 40.394964 stepsize= 1.000000
+dualbound = 2625046.512640, lowerbound=1175131.512640, norm of subgrad 1084.698812 dualbound = 2625046.512640, lowerbound=1175131.512640, norm of subgrad 40.141418 stepsize= 1.000000
+dualbound = 2625229.072651, lowerbound=1174924.072651, norm of subgrad 1084.590279 dualbound = 2625229.072651, lowerbound=1174924.072651, norm of subgrad 39.931942 stepsize= 1.000000
+dualbound = 2625393.962950, lowerbound=1175778.962950, norm of subgrad 1085.002748 dualbound = 2625393.962950, lowerbound=1175778.962950, norm of subgrad 40.210574 stepsize= 1.000000
+dualbound = 2625558.363867, lowerbound=1173483.363867, norm of subgrad 1083.975260 dualbound = 2625558.363867, lowerbound=1173483.363867, norm of subgrad 41.029269 stepsize= 1.000000
+dualbound = 2625711.930724, lowerbound=1177936.930724, norm of subgrad 1086.028052 dualbound = 2625711.930724, lowerbound=1177936.930724, norm of subgrad 40.909251 stepsize= 1.000000
+dualbound = 2625866.965856, lowerbound=1176717.965856, norm of subgrad 1085.451043 dualbound = 2625866.965856, lowerbound=1176717.965856, norm of subgrad 40.509692 stepsize= 1.000000
+dualbound = 2626068.581377, lowerbound=1175078.581377, norm of subgrad 1084.685937 dualbound = 2626068.581377, lowerbound=1175078.581377, norm of subgrad 40.824203 stepsize= 1.000000
+dualbound = 2626234.619981, lowerbound=1176837.619981, norm of subgrad 1085.478982 dualbound = 2626234.619981, lowerbound=1176837.619981, norm of subgrad 39.912888 stepsize= 1.000000
+dualbound = 2626418.901266, lowerbound=1173355.901266, norm of subgrad 1083.851882 dualbound = 2626418.901266, lowerbound=1173355.901266, norm of subgrad 39.538352 stepsize= 1.000000
+dualbound = 2626582.430537, lowerbound=1175615.430537, norm of subgrad 1084.928307 dualbound = 2626582.430537, lowerbound=1175615.430537, norm of subgrad 40.218519 stepsize= 1.000000
+dualbound = 2626769.247235, lowerbound=1178229.247235, norm of subgrad 1086.097715 dualbound = 2626769.247235, lowerbound=1178229.247235, norm of subgrad 39.570402 stepsize= 1.000000
+dualbound = 2626929.453889, lowerbound=1181344.453889, norm of subgrad 1087.555724 dualbound = 2626929.453889, lowerbound=1181344.453889, norm of subgrad 39.914993 stepsize= 1.000000
+dualbound = 2627085.811728, lowerbound=1177732.811728, norm of subgrad 1085.908289 dualbound = 2627085.811728, lowerbound=1177732.811728, norm of subgrad 40.253669 stepsize= 1.000000
+dualbound = 2627236.294003, lowerbound=1177969.294003, norm of subgrad 1086.000135 dualbound = 2627236.294003, lowerbound=1177969.294003, norm of subgrad 39.717531 stepsize= 1.000000
+dualbound = 2627429.160159, lowerbound=1174800.160159, norm of subgrad 1084.526238 dualbound = 2627429.160159, lowerbound=1174800.160159, norm of subgrad 39.873126 stepsize= 1.000000
+dualbound = 2627608.623133, lowerbound=1170573.623133, norm of subgrad 1082.574073 dualbound = 2627608.623133, lowerbound=1170573.623133, norm of subgrad 39.654293 stepsize= 1.000000
+dualbound = 2627751.860937, lowerbound=1181263.860937, norm of subgrad 1087.521890 dualbound = 2627751.860937, lowerbound=1181263.860937, norm of subgrad 39.789921 stepsize= 1.000000
+dualbound = 2627917.846102, lowerbound=1176354.846102, norm of subgrad 1085.259345 dualbound = 2627917.846102, lowerbound=1176354.846102, norm of subgrad 39.987313 stepsize= 1.000000
+dualbound = 2628111.734032, lowerbound=1175124.734032, norm of subgrad 1084.705828 dualbound = 2628111.734032, lowerbound=1175124.734032, norm of subgrad 40.692603 stepsize= 1.000000
+dualbound = 2628255.181750, lowerbound=1174854.181750, norm of subgrad 1084.610152 dualbound = 2628255.181750, lowerbound=1174854.181750, norm of subgrad 40.846637 stepsize= 1.000000
+dualbound = 2628415.684267, lowerbound=1176548.684267, norm of subgrad 1085.386882 dualbound = 2628415.684267, lowerbound=1176548.684267, norm of subgrad 40.945116 stepsize= 1.000000
+dualbound = 2628594.963283, lowerbound=1171090.963283, norm of subgrad 1082.876707 dualbound = 2628594.963283, lowerbound=1171090.963283, norm of subgrad 41.355520 stepsize= 1.000000
+dualbound = 2628757.578375, lowerbound=1181577.578375, norm of subgrad 1087.674850 dualbound = 2628757.578375, lowerbound=1181577.578375, norm of subgrad 40.269282 stepsize= 1.000000
+dualbound = 2628937.117502, lowerbound=1172293.117502, norm of subgrad 1083.382720 dualbound = 2628937.117502, lowerbound=1172293.117502, norm of subgrad 40.056699 stepsize= 1.000000
+dualbound = 2629112.366159, lowerbound=1179017.366159, norm of subgrad 1086.492690 dualbound = 2629112.366159, lowerbound=1179017.366159, norm of subgrad 40.301968 stepsize= 1.000000
+dualbound = 2629282.446558, lowerbound=1176211.446558, norm of subgrad 1085.178532 dualbound = 2629282.446558, lowerbound=1176211.446558, norm of subgrad 39.636857 stepsize= 1.000000
+dualbound = 2629467.825156, lowerbound=1176790.825156, norm of subgrad 1085.456045 dualbound = 2629467.825156, lowerbound=1176790.825156, norm of subgrad 40.117061 stepsize= 1.000000
+dualbound = 2629607.160529, lowerbound=1174620.160529, norm of subgrad 1084.491660 dualbound = 2629607.160529, lowerbound=1174620.160529, norm of subgrad 40.513397 stepsize= 1.000000
+dualbound = 2629778.474431, lowerbound=1179517.474431, norm of subgrad 1086.708091 dualbound = 2629778.474431, lowerbound=1179517.474431, norm of subgrad 39.853656 stepsize= 1.000000
+dualbound = 2629968.961584, lowerbound=1175032.961584, norm of subgrad 1084.640015 dualbound = 2629968.961584, lowerbound=1175032.961584, norm of subgrad 40.018585 stepsize= 1.000000
+dualbound = 2630157.083880, lowerbound=1179301.083880, norm of subgrad 1086.601161 dualbound = 2630157.083880, lowerbound=1179301.083880, norm of subgrad 39.863797 stepsize= 1.000000
+dualbound = 2630309.749266, lowerbound=1175749.749266, norm of subgrad 1084.962557 dualbound = 2630309.749266, lowerbound=1175749.749266, norm of subgrad 39.327667 stepsize= 1.000000
+dualbound = 2630491.837973, lowerbound=1176905.837973, norm of subgrad 1085.481385 dualbound = 2630491.837973, lowerbound=1176905.837973, norm of subgrad 39.320335 stepsize= 1.000000
+dualbound = 2630671.929927, lowerbound=1172425.929927, norm of subgrad 1083.415400 dualbound = 2630671.929927, lowerbound=1172425.929927, norm of subgrad 39.282209 stepsize= 1.000000
+dualbound = 2630827.990808, lowerbound=1180283.990808, norm of subgrad 1087.053812 dualbound = 2630827.990808, lowerbound=1180283.990808, norm of subgrad 39.472280 stepsize= 1.000000
+dualbound = 2630986.189952, lowerbound=1174241.189952, norm of subgrad 1084.303090 dualbound = 2630986.189952, lowerbound=1174241.189952, norm of subgrad 40.375725 stepsize= 1.000000
+dualbound = 2631151.232480, lowerbound=1179371.232480, norm of subgrad 1086.674391 dualbound = 2631151.232480, lowerbound=1179371.232480, norm of subgrad 40.682214 stepsize= 1.000000
+dualbound = 2631309.409391, lowerbound=1173925.409391, norm of subgrad 1084.167150 dualbound = 2631309.409391, lowerbound=1173925.409391, norm of subgrad 40.634676 stepsize= 1.000000
+dualbound = 2631473.619181, lowerbound=1174778.619181, norm of subgrad 1084.549501 dualbound = 2631473.619181, lowerbound=1174778.619181, norm of subgrad 40.412990 stepsize= 1.000000
+dualbound = 2631646.626180, lowerbound=1175619.626180, norm of subgrad 1084.953283 dualbound = 2631646.626180, lowerbound=1175619.626180, norm of subgrad 40.951276 stepsize= 1.000000
+dualbound = 2631813.506135, lowerbound=1178449.506135, norm of subgrad 1086.258029 dualbound = 2631813.506135, lowerbound=1178449.506135, norm of subgrad 40.913078 stepsize= 1.000000
+dualbound = 2631997.033817, lowerbound=1177904.033817, norm of subgrad 1085.999095 dualbound = 2631997.033817, lowerbound=1177904.033817, norm of subgrad 40.908773 stepsize= 1.000000
+dualbound = 2632171.417105, lowerbound=1180529.417105, norm of subgrad 1087.188308 dualbound = 2632171.417105, lowerbound=1180529.417105, norm of subgrad 40.291231 stepsize= 1.000000
+dualbound = 2632311.416217, lowerbound=1172386.416217, norm of subgrad 1083.468696 dualbound = 2632311.416217, lowerbound=1172386.416217, norm of subgrad 40.718535 stepsize= 1.000000
+dualbound = 2632493.027339, lowerbound=1176392.027339, norm of subgrad 1085.278779 dualbound = 2632493.027339, lowerbound=1176392.027339, norm of subgrad 40.244392 stepsize= 1.000000
+dualbound = 2632667.797383, lowerbound=1173589.797383, norm of subgrad 1083.993910 dualbound = 2632667.797383, lowerbound=1173589.797383, norm of subgrad 40.345632 stepsize= 1.000000
+dualbound = 2632829.301959, lowerbound=1177660.301959, norm of subgrad 1085.878125 dualbound = 2632829.301959, lowerbound=1177660.301959, norm of subgrad 40.404264 stepsize= 1.000000
+dualbound = 2633005.351455, lowerbound=1171085.351455, norm of subgrad 1082.832098 dualbound = 2633005.351455, lowerbound=1171085.351455, norm of subgrad 40.200118 stepsize= 1.000000
+dualbound = 2633205.349623, lowerbound=1179436.349623, norm of subgrad 1086.660181 dualbound = 2633205.349623, lowerbound=1179436.349623, norm of subgrad 39.924907 stepsize= 1.000000
+dualbound = 2633354.534187, lowerbound=1171836.534187, norm of subgrad 1083.189519 dualbound = 2633354.534187, lowerbound=1171836.534187, norm of subgrad 40.152018 stepsize= 1.000000
+dualbound = 2633527.180633, lowerbound=1176550.180633, norm of subgrad 1085.374673 dualbound = 2633527.180633, lowerbound=1176550.180633, norm of subgrad 40.751030 stepsize= 1.000000
+dualbound = 2633643.891156, lowerbound=1175971.891156, norm of subgrad 1085.143258 dualbound = 2633643.891156, lowerbound=1175971.891156, norm of subgrad 40.996470 stepsize= 1.000000
+dualbound = 2633851.309823, lowerbound=1176437.309823, norm of subgrad 1085.314844 dualbound = 2633851.309823, lowerbound=1176437.309823, norm of subgrad 40.968508 stepsize= 1.000000
+dualbound = 2634017.901939, lowerbound=1180538.901939, norm of subgrad 1087.212906 dualbound = 2634017.901939, lowerbound=1180538.901939, norm of subgrad 40.738092 stepsize= 1.000000
+dualbound = 2634199.403789, lowerbound=1174360.403789, norm of subgrad 1084.331778 dualbound = 2634199.403789, lowerbound=1174360.403789, norm of subgrad 39.956249 stepsize= 1.000000
+dualbound = 2634377.151073, lowerbound=1178285.151073, norm of subgrad 1086.151993 dualbound = 2634377.151073, lowerbound=1178285.151073, norm of subgrad 40.233659 stepsize= 1.000000
+dualbound = 2634528.434306, lowerbound=1176926.434306, norm of subgrad 1085.543843 dualbound = 2634528.434306, lowerbound=1176926.434306, norm of subgrad 40.376766 stepsize= 1.000000
+dualbound = 2634704.694575, lowerbound=1173437.694575, norm of subgrad 1083.920059 dualbound = 2634704.694575, lowerbound=1173437.694575, norm of subgrad 40.264876 stepsize= 1.000000
+dualbound = 2634888.126823, lowerbound=1176649.126823, norm of subgrad 1085.373266 dualbound = 2634888.126823, lowerbound=1176649.126823, norm of subgrad 39.616060 stepsize= 1.000000
+dualbound = 2635047.643384, lowerbound=1175624.643385, norm of subgrad 1084.905822 dualbound = 2635047.643384, lowerbound=1175624.643385, norm of subgrad 39.440038 stepsize= 1.000000
+dualbound = 2635217.892919, lowerbound=1176861.892919, norm of subgrad 1085.480489 dualbound = 2635217.892919, lowerbound=1176861.892919, norm of subgrad 39.702009 stepsize= 1.000000
+dualbound = 2635383.421282, lowerbound=1177314.421282, norm of subgrad 1085.724376 dualbound = 2635383.421282, lowerbound=1177314.421282, norm of subgrad 40.602073 stepsize= 1.000000
+dualbound = 2635521.590144, lowerbound=1178909.590144, norm of subgrad 1086.442171 dualbound = 2635521.590144, lowerbound=1178909.590144, norm of subgrad 39.814179 stepsize= 1.000000
+dualbound = 2635713.909108, lowerbound=1174928.909108, norm of subgrad 1084.592508 dualbound = 2635713.909108, lowerbound=1174928.909108, norm of subgrad 40.053951 stepsize= 1.000000
+dualbound = 2635887.747308, lowerbound=1176350.747308, norm of subgrad 1085.242714 dualbound = 2635887.747308, lowerbound=1176350.747308, norm of subgrad 39.684231 stepsize= 1.000000
+dualbound = 2636086.125368, lowerbound=1174724.125368, norm of subgrad 1084.484267 dualbound = 2636086.125368, lowerbound=1174724.125368, norm of subgrad 39.753969 stepsize= 1.000000
+dualbound = 2636218.132855, lowerbound=1175249.132855, norm of subgrad 1084.760403 dualbound = 2636218.132855, lowerbound=1175249.132855, norm of subgrad 39.849812 stepsize= 1.000000
+dualbound = 2636411.171738, lowerbound=1179823.171738, norm of subgrad 1086.880477 dualbound = 2636411.171738, lowerbound=1179823.171738, norm of subgrad 40.976077 stepsize= 1.000000
+dualbound = 2636515.726302, lowerbound=1175267.726302, norm of subgrad 1084.804925 dualbound = 2636515.726302, lowerbound=1175267.726302, norm of subgrad 40.479063 stepsize= 1.000000
+dualbound = 2636711.676947, lowerbound=1181195.676947, norm of subgrad 1087.515369 dualbound = 2636711.676947, lowerbound=1181195.676947, norm of subgrad 41.109009 stepsize= 1.000000
+dualbound = 2636880.570502, lowerbound=1172721.570502, norm of subgrad 1083.614124 dualbound = 2636880.570502, lowerbound=1172721.570502, norm of subgrad 40.827608 stepsize= 1.000000
+dualbound = 2637058.027648, lowerbound=1179872.027648, norm of subgrad 1086.869370 dualbound = 2637058.027648, lowerbound=1179872.027648, norm of subgrad 39.880536 stepsize= 1.000000
+dualbound = 2637251.466846, lowerbound=1174380.466846, norm of subgrad 1084.349790 dualbound = 2637251.466846, lowerbound=1174380.466846, norm of subgrad 40.341532 stepsize= 1.000000
+dualbound = 2637393.666098, lowerbound=1181341.666098, norm of subgrad 1087.585245 dualbound = 2637393.666098, lowerbound=1181341.666098, norm of subgrad 40.524058 stepsize= 1.000000
+dualbound = 2637579.867309, lowerbound=1175570.867309, norm of subgrad 1084.922517 dualbound = 2637579.867309, lowerbound=1175570.867309, norm of subgrad 40.892557 stepsize= 1.000000
+dualbound = 2637723.995542, lowerbound=1176553.995542, norm of subgrad 1085.371363 dualbound = 2637723.995542, lowerbound=1176553.995542, norm of subgrad 40.263237 stepsize= 1.000000
+dualbound = 2637907.783655, lowerbound=1179554.783655, norm of subgrad 1086.728477 dualbound = 2637907.783655, lowerbound=1179554.783655, norm of subgrad 40.097233 stepsize= 1.000000
+dualbound = 2638085.706811, lowerbound=1176547.706811, norm of subgrad 1085.324701 dualbound = 2638085.706811, lowerbound=1176547.706811, norm of subgrad 39.495863 stepsize= 1.000000
+dualbound = 2638257.003520, lowerbound=1176332.003520, norm of subgrad 1085.227167 dualbound = 2638257.003520, lowerbound=1176332.003520, norm of subgrad 39.462599 stepsize= 1.000000
+dualbound = 2638446.660647, lowerbound=1175353.660647, norm of subgrad 1084.792450 dualbound = 2638446.660647, lowerbound=1175353.660647, norm of subgrad 40.132993 stepsize= 1.000000
+dualbound = 2638568.491115, lowerbound=1174081.491115, norm of subgrad 1084.220684 dualbound = 2638568.491115, lowerbound=1174081.491115, norm of subgrad 39.684134 stepsize= 1.000000
+dualbound = 2638739.793258, lowerbound=1178247.793258, norm of subgrad 1086.123747 dualbound = 2638739.793258, lowerbound=1178247.793258, norm of subgrad 39.853509 stepsize= 1.000000
+dualbound = 2638920.518063, lowerbound=1176383.518063, norm of subgrad 1085.249980 dualbound = 2638920.518063, lowerbound=1176383.518063, norm of subgrad 39.556603 stepsize= 1.000000
+dualbound = 2639097.914747, lowerbound=1173561.914747, norm of subgrad 1083.977359 dualbound = 2639097.914747, lowerbound=1173561.914747, norm of subgrad 40.278986 stepsize= 1.000000
+dualbound = 2639245.375104, lowerbound=1181391.375104, norm of subgrad 1087.625108 dualbound = 2639245.375104, lowerbound=1181391.375104, norm of subgrad 41.042178 stepsize= 1.000000
+dualbound = 2639380.242573, lowerbound=1173706.242573, norm of subgrad 1084.091436 dualbound = 2639380.242573, lowerbound=1173706.242573, norm of subgrad 41.022768 stepsize= 1.000000
+dualbound = 2639571.026338, lowerbound=1179187.026338, norm of subgrad 1086.578127 dualbound = 2639571.026338, lowerbound=1179187.026338, norm of subgrad 40.691323 stepsize= 1.000000
+dualbound = 2639752.846541, lowerbound=1177160.846541, norm of subgrad 1085.668387 dualbound = 2639752.846541, lowerbound=1177160.846541, norm of subgrad 41.192478 stepsize= 1.000000
+dualbound = 2639913.397906, lowerbound=1176254.397906, norm of subgrad 1085.241631 dualbound = 2639913.397906, lowerbound=1176254.397906, norm of subgrad 40.688467 stepsize= 1.000000
+dualbound = 2640082.438402, lowerbound=1181148.438402, norm of subgrad 1087.489972 dualbound = 2640082.438402, lowerbound=1181148.438402, norm of subgrad 40.682189 stepsize= 1.000000
+dualbound = 2640265.273875, lowerbound=1173272.273875, norm of subgrad 1083.840520 dualbound = 2640265.273875, lowerbound=1173272.273875, norm of subgrad 40.259601 stepsize= 1.000000
+dualbound = 2640446.069028, lowerbound=1178512.069028, norm of subgrad 1086.273938 dualbound = 2640446.069028, lowerbound=1178512.069028, norm of subgrad 40.740584 stepsize= 1.000000
+dualbound = 2640610.810413, lowerbound=1177744.810413, norm of subgrad 1085.893093 dualbound = 2640610.810413, lowerbound=1177744.810413, norm of subgrad 39.796248 stepsize= 1.000000
+dualbound = 2640771.226029, lowerbound=1178764.226029, norm of subgrad 1086.355939 dualbound = 2640771.226029, lowerbound=1178764.226029, norm of subgrad 39.565334 stepsize= 1.000000
+dualbound = 2640955.591458, lowerbound=1172228.591458, norm of subgrad 1083.318324 dualbound = 2640955.591458, lowerbound=1172228.591458, norm of subgrad 39.170977 stepsize= 1.000000
+dualbound = 2641132.025802, lowerbound=1180585.025802, norm of subgrad 1087.179850 dualbound = 2641132.025802, lowerbound=1180585.025802, norm of subgrad 39.388251 stepsize= 1.000000
+dualbound = 2641289.259873, lowerbound=1178336.259873, norm of subgrad 1086.176901 dualbound = 2641289.259873, lowerbound=1178336.259873, norm of subgrad 40.015423 stepsize= 1.000000
+dualbound = 2641448.675547, lowerbound=1178296.675547, norm of subgrad 1086.131979 dualbound = 2641448.675547, lowerbound=1178296.675547, norm of subgrad 39.311775 stepsize= 1.000000
+dualbound = 2641628.217731, lowerbound=1174060.217731, norm of subgrad 1084.225630 dualbound = 2641628.217731, lowerbound=1174060.217731, norm of subgrad 40.798801 stepsize= 1.000000
+dualbound = 2641735.090549, lowerbound=1176953.090549, norm of subgrad 1085.580071 dualbound = 2641735.090549, lowerbound=1176953.090549, norm of subgrad 40.470641 stepsize= 1.000000
+dualbound = 2641924.694162, lowerbound=1176047.694162, norm of subgrad 1085.166206 dualbound = 2641924.694162, lowerbound=1176047.694162, norm of subgrad 41.564451 stepsize= 1.000000
+dualbound = 2642113.249283, lowerbound=1177653.249283, norm of subgrad 1085.881784 dualbound = 2642113.249283, lowerbound=1177653.249283, norm of subgrad 40.921328 stepsize= 1.000000
+dualbound = 2642270.527917, lowerbound=1176708.527917, norm of subgrad 1085.444392 dualbound = 2642270.527917, lowerbound=1176708.527917, norm of subgrad 40.475655 stepsize= 1.000000
+dualbound = 2642461.743990, lowerbound=1177290.743990, norm of subgrad 1085.700117 dualbound = 2642461.743990, lowerbound=1177290.743990, norm of subgrad 40.561263 stepsize= 1.000000
+dualbound = 2642619.471148, lowerbound=1175934.471148, norm of subgrad 1085.047682 dualbound = 2642619.471148, lowerbound=1175934.471148, norm of subgrad 39.391968 stepsize= 1.000000
+dualbound = 2642803.073741, lowerbound=1179201.073741, norm of subgrad 1086.572627 dualbound = 2642803.073741, lowerbound=1179201.073741, norm of subgrad 40.281542 stepsize= 1.000000
+dualbound = 2642955.764388, lowerbound=1175868.764388, norm of subgrad 1085.042748 dualbound = 2642955.764388, lowerbound=1175868.764388, norm of subgrad 40.021128 stepsize= 1.000000
+dualbound = 2643144.890899, lowerbound=1178654.890899, norm of subgrad 1086.336914 dualbound = 2643144.890899, lowerbound=1178654.890899, norm of subgrad 40.769186 stepsize= 1.000000
+dualbound = 2643271.366953, lowerbound=1176375.366953, norm of subgrad 1085.296442 dualbound = 2643271.366953, lowerbound=1176375.366953, norm of subgrad 40.242714 stepsize= 1.000000
+dualbound = 2643474.054119, lowerbound=1178408.054119, norm of subgrad 1086.207187 dualbound = 2643474.054119, lowerbound=1178408.054119, norm of subgrad 40.505397 stepsize= 1.000000
+dualbound = 2643654.301342, lowerbound=1175751.301342, norm of subgrad 1084.976636 dualbound = 2643654.301342, lowerbound=1175751.301342, norm of subgrad 40.040570 stepsize= 1.000000
+dualbound = 2643787.442934, lowerbound=1176935.442934, norm of subgrad 1085.547531 dualbound = 2643787.442934, lowerbound=1176935.442934, norm of subgrad 40.139028 stepsize= 1.000000
+dualbound = 2643980.356766, lowerbound=1184443.356766, norm of subgrad 1088.987308 dualbound = 2643980.356766, lowerbound=1184443.356766, norm of subgrad 40.532873 stepsize= 1.000000
+dualbound = 2644133.164207, lowerbound=1179088.164207, norm of subgrad 1086.519288 dualbound = 2644133.164207, lowerbound=1179088.164207, norm of subgrad 39.859847 stepsize= 1.000000
+dualbound = 2644314.799094, lowerbound=1176012.799094, norm of subgrad 1085.083314 dualbound = 2644314.799094, lowerbound=1176012.799094, norm of subgrad 39.681669 stepsize= 1.000000
+dualbound = 2644482.135180, lowerbound=1178133.135180, norm of subgrad 1086.093981 dualbound = 2644482.135180, lowerbound=1178133.135180, norm of subgrad 40.426923 stepsize= 1.000000
+dualbound = 2644631.626075, lowerbound=1175521.626075, norm of subgrad 1084.899362 dualbound = 2644631.626075, lowerbound=1175521.626075, norm of subgrad 40.428837 stepsize= 1.000000
+dualbound = 2644787.101841, lowerbound=1177756.101841, norm of subgrad 1085.970120 dualbound = 2644787.101841, lowerbound=1177756.101841, norm of subgrad 41.598988 stepsize= 1.000000
+dualbound = 2644929.669550, lowerbound=1173513.669550, norm of subgrad 1083.983242 dualbound = 2644929.669550, lowerbound=1173513.669550, norm of subgrad 40.602558 stepsize= 1.000000
+dualbound = 2645163.607967, lowerbound=1175916.607967, norm of subgrad 1085.071706 dualbound = 2645163.607967, lowerbound=1175916.607967, norm of subgrad 41.206048 stepsize= 1.000000
+dualbound = 2645334.850430, lowerbound=1174616.850430, norm of subgrad 1084.449100 dualbound = 2645334.850430, lowerbound=1174616.850430, norm of subgrad 39.802543 stepsize= 1.000000
+dualbound = 2645498.378209, lowerbound=1179810.378209, norm of subgrad 1086.846529 dualbound = 2645498.378209, lowerbound=1179810.378209, norm of subgrad 39.856339 stepsize= 1.000000
+dualbound = 2645655.276237, lowerbound=1177579.276237, norm of subgrad 1085.815950 dualbound = 2645655.276237, lowerbound=1177579.276237, norm of subgrad 39.672384 stepsize= 1.000000
+dualbound = 2645851.036393, lowerbound=1183141.036393, norm of subgrad 1088.381384 dualbound = 2645851.036393, lowerbound=1183141.036393, norm of subgrad 40.357901 stepsize= 1.000000
+dualbound = 2645978.811341, lowerbound=1174409.811341, norm of subgrad 1084.374848 dualbound = 2645978.811341, lowerbound=1174409.811341, norm of subgrad 39.834344 stepsize= 1.000000
+dualbound = 2646185.045781, lowerbound=1179785.045781, norm of subgrad 1086.836255 dualbound = 2646185.045781, lowerbound=1179785.045781, norm of subgrad 40.425666 stepsize= 1.000000
+dualbound = 2646339.897788, lowerbound=1171396.897788, norm of subgrad 1082.977330 dualbound = 2646339.897788, lowerbound=1171396.897788, norm of subgrad 39.973141 stepsize= 1.000000
+dualbound = 2646488.336266, lowerbound=1180751.336266, norm of subgrad 1087.311058 dualbound = 2646488.336266, lowerbound=1180751.336266, norm of subgrad 40.527009 stepsize= 1.000000
+dualbound = 2646664.098630, lowerbound=1176628.098630, norm of subgrad 1085.410106 dualbound = 2646664.098630, lowerbound=1176628.098630, norm of subgrad 40.776983 stepsize= 1.000000
+dualbound = 2646836.597289, lowerbound=1177916.597289, norm of subgrad 1085.989686 dualbound = 2646836.597289, lowerbound=1177916.597289, norm of subgrad 40.367049 stepsize= 1.000000
+dualbound = 2646976.894723, lowerbound=1180437.894723, norm of subgrad 1087.156794 dualbound = 2646976.894723, lowerbound=1180437.894723, norm of subgrad 40.153424 stepsize= 1.000000
+dualbound = 2647181.293208, lowerbound=1179276.293208, norm of subgrad 1086.617363 dualbound = 2647181.293208, lowerbound=1179276.293208, norm of subgrad 40.809294 stepsize= 1.000000
+dualbound = 2647306.977089, lowerbound=1174634.977089, norm of subgrad 1084.485121 dualbound = 2647306.977089, lowerbound=1174634.977089, norm of subgrad 39.983545 stepsize= 1.000000
+dualbound = 2647497.833129, lowerbound=1178683.833129, norm of subgrad 1086.379231 dualbound = 2647497.833129, lowerbound=1178683.833129, norm of subgrad 41.555457 stepsize= 1.000000
+dualbound = 2647613.785626, lowerbound=1174692.785626, norm of subgrad 1084.554188 dualbound = 2647613.785626, lowerbound=1174692.785626, norm of subgrad 40.999421 stepsize= 1.000000
+dualbound = 2647833.976197, lowerbound=1177888.976197, norm of subgrad 1085.982954 dualbound = 2647833.976197, lowerbound=1177888.976197, norm of subgrad 41.111927 stepsize= 1.000000
+dualbound = 2647999.371657, lowerbound=1179238.371657, norm of subgrad 1086.591170 dualbound = 2647999.371657, lowerbound=1179238.371657, norm of subgrad 40.092337 stepsize= 1.000000
+dualbound = 2648165.559218, lowerbound=1181894.559218, norm of subgrad 1087.817797 dualbound = 2648165.559218, lowerbound=1181894.559218, norm of subgrad 40.239130 stepsize= 1.000000
+dualbound = 2648367.259562, lowerbound=1174747.259562, norm of subgrad 1084.513836 dualbound = 2648367.259562, lowerbound=1174747.259562, norm of subgrad 40.307572 stepsize= 1.000000
+dualbound = 2648520.648721, lowerbound=1175553.648721, norm of subgrad 1084.915503 dualbound = 2648520.648721, lowerbound=1175553.648721, norm of subgrad 40.514061 stepsize= 1.000000
+dualbound = 2648663.345576, lowerbound=1175684.345576, norm of subgrad 1084.975735 dualbound = 2648663.345576, lowerbound=1175684.345576, norm of subgrad 40.381888 stepsize= 1.000000
+dualbound = 2648845.450439, lowerbound=1179438.450439, norm of subgrad 1086.677712 dualbound = 2648845.450439, lowerbound=1179438.450439, norm of subgrad 40.151026 stepsize= 1.000000
+dualbound = 2649035.752720, lowerbound=1177762.752720, norm of subgrad 1085.887541 dualbound = 2649035.752720, lowerbound=1177762.752720, norm of subgrad 39.740436 stepsize= 1.000000
+dualbound = 2649193.276604, lowerbound=1178985.276604, norm of subgrad 1086.473321 dualbound = 2649193.276604, lowerbound=1178985.276604, norm of subgrad 39.956525 stepsize= 1.000000
+dualbound = 2649347.025915, lowerbound=1178976.025915, norm of subgrad 1086.470444 dualbound = 2649347.025915, lowerbound=1178976.025915, norm of subgrad 39.946831 stepsize= 1.000000
+dualbound = 2649525.217829, lowerbound=1174821.217829, norm of subgrad 1084.536407 dualbound = 2649525.217829, lowerbound=1174821.217829, norm of subgrad 39.701284 stepsize= 1.000000
+dualbound = 2649683.236216, lowerbound=1182123.236216, norm of subgrad 1087.922440 dualbound = 2649683.236216, lowerbound=1182123.236216, norm of subgrad 40.125034 stepsize= 1.000000
+dualbound = 2649865.360046, lowerbound=1174137.360046, norm of subgrad 1084.232152 dualbound = 2649865.360046, lowerbound=1174137.360046, norm of subgrad 40.051515 stepsize= 1.000000
+dualbound = 2650006.996859, lowerbound=1176579.996859, norm of subgrad 1085.400386 dualbound = 2650006.996859, lowerbound=1176579.996859, norm of subgrad 40.689517 stepsize= 1.000000
+dualbound = 2650190.985950, lowerbound=1180742.985950, norm of subgrad 1087.304919 dualbound = 2650190.985950, lowerbound=1180742.985950, norm of subgrad 40.902189 stepsize= 1.000000
+dualbound = 2650332.854709, lowerbound=1177337.854709, norm of subgrad 1085.735168 dualbound = 2650332.854709, lowerbound=1177337.854709, norm of subgrad 40.309661 stepsize= 1.000000
+dualbound = 2650526.793236, lowerbound=1176336.793236, norm of subgrad 1085.259321 dualbound = 2650526.793236, lowerbound=1176336.793236, norm of subgrad 40.557842 stepsize= 1.000000
+dualbound = 2650672.851697, lowerbound=1178219.851697, norm of subgrad 1086.128377 dualbound = 2650672.851697, lowerbound=1178219.851697, norm of subgrad 40.013229 stepsize= 1.000000
+dualbound = 2650854.945986, lowerbound=1173880.945986, norm of subgrad 1084.136037 dualbound = 2650854.945986, lowerbound=1173880.945986, norm of subgrad 40.645963 stepsize= 1.000000
+dualbound = 2651030.268761, lowerbound=1177253.268761, norm of subgrad 1085.669503 dualbound = 2651030.268761, lowerbound=1177253.268761, norm of subgrad 40.004034 stepsize= 1.000000
+dualbound = 2651193.989571, lowerbound=1175790.989571, norm of subgrad 1085.027184 dualbound = 2651193.989571, lowerbound=1175790.989571, norm of subgrad 40.702835 stepsize= 1.000000
+dualbound = 2651349.974400, lowerbound=1176610.974400, norm of subgrad 1085.374578 dualbound = 2651349.974400, lowerbound=1176610.974400, norm of subgrad 39.786742 stepsize= 1.000000
+dualbound = 2651543.939226, lowerbound=1180980.939226, norm of subgrad 1087.404221 dualbound = 2651543.939226, lowerbound=1180980.939226, norm of subgrad 40.754936 stepsize= 1.000000
+dualbound = 2651688.658334, lowerbound=1180360.658334, norm of subgrad 1087.082636 dualbound = 2651688.658334, lowerbound=1180360.658334, norm of subgrad 39.149957 stepsize= 1.000000
+dualbound = 2651881.936022, lowerbound=1177005.936022, norm of subgrad 1085.533019 dualbound = 2651881.936022, lowerbound=1177005.936022, norm of subgrad 39.614110 stepsize= 1.000000
+dualbound = 2652017.140554, lowerbound=1174319.140554, norm of subgrad 1084.357017 dualbound = 2652017.140554, lowerbound=1174319.140554, norm of subgrad 40.573446 stepsize= 1.000000
+dualbound = 2652173.695602, lowerbound=1178712.695602, norm of subgrad 1086.362138 dualbound = 2652173.695602, lowerbound=1178712.695602, norm of subgrad 40.330572 stepsize= 1.000000
+dualbound = 2652357.562315, lowerbound=1179097.562315, norm of subgrad 1086.518551 dualbound = 2652357.562315, lowerbound=1179097.562315, norm of subgrad 40.110681 stepsize= 1.000000
+dualbound = 2652552.149998, lowerbound=1178589.149998, norm of subgrad 1086.270754 dualbound = 2652552.149998, lowerbound=1178589.149998, norm of subgrad 39.869634 stepsize= 1.000000
+dualbound = 2652702.532639, lowerbound=1179620.532639, norm of subgrad 1086.779431 dualbound = 2652702.532639, lowerbound=1179620.532639, norm of subgrad 40.241554 stepsize= 1.000000
+dualbound = 2652863.263507, lowerbound=1175769.263507, norm of subgrad 1084.996896 dualbound = 2652863.263507, lowerbound=1175769.263507, norm of subgrad 40.121451 stepsize= 1.000000
+dualbound = 2653044.007119, lowerbound=1180577.007119, norm of subgrad 1087.198237 dualbound = 2653044.007119, lowerbound=1180577.007119, norm of subgrad 40.046768 stepsize= 1.000000
+dualbound = 2653225.348787, lowerbound=1178001.348787, norm of subgrad 1086.030087 dualbound = 2653225.348787, lowerbound=1178001.348787, norm of subgrad 40.513475 stepsize= 1.000000
+dualbound = 2653344.939897, lowerbound=1179299.939897, norm of subgrad 1086.628244 dualbound = 2653344.939897, lowerbound=1179299.939897, norm of subgrad 39.756649 stepsize= 1.000000
+dualbound = 2653556.482861, lowerbound=1175455.482861, norm of subgrad 1084.837538 dualbound = 2653556.482861, lowerbound=1175455.482861, norm of subgrad 40.355210 stepsize= 1.000000
+dualbound = 2653722.189616, lowerbound=1178462.189616, norm of subgrad 1086.214615 dualbound = 2653722.189616, lowerbound=1178462.189616, norm of subgrad 39.569013 stepsize= 1.000000
+dualbound = 2653887.829456, lowerbound=1175105.829456, norm of subgrad 1084.671761 dualbound = 2653887.829456, lowerbound=1175105.829456, norm of subgrad 39.656523 stepsize= 1.000000
+dualbound = 2654041.995558, lowerbound=1179189.995558, norm of subgrad 1086.569370 dualbound = 2654041.995558, lowerbound=1179189.995558, norm of subgrad 39.964561 stepsize= 1.000000
+dualbound = 2654227.038217, lowerbound=1178184.038217, norm of subgrad 1086.086110 dualbound = 2654227.038217, lowerbound=1178184.038217, norm of subgrad 39.800033 stepsize= 1.000000
+dualbound = 2654384.265119, lowerbound=1177618.265119, norm of subgrad 1085.857848 dualbound = 2654384.265119, lowerbound=1177618.265119, norm of subgrad 40.326504 stepsize= 1.000000
+dualbound = 2654532.846647, lowerbound=1174657.846647, norm of subgrad 1084.527476 dualbound = 2654532.846647, lowerbound=1174657.846647, norm of subgrad 41.116682 stepsize= 1.000000
+dualbound = 2654677.452799, lowerbound=1180134.452799, norm of subgrad 1087.036086 dualbound = 2654677.452799, lowerbound=1180134.452799, norm of subgrad 40.713710 stepsize= 1.000000
+dualbound = 2654873.288257, lowerbound=1173757.288257, norm of subgrad 1084.086845 dualbound = 2654873.288257, lowerbound=1173757.288257, norm of subgrad 41.022378 stepsize= 1.000000
+dualbound = 2655022.347921, lowerbound=1181998.347921, norm of subgrad 1087.906865 dualbound = 2655022.347921, lowerbound=1181998.347921, norm of subgrad 41.134653 stepsize= 1.000000
+dualbound = 2655200.826518, lowerbound=1175850.826518, norm of subgrad 1085.022500 dualbound = 2655200.826518, lowerbound=1175850.826518, norm of subgrad 40.018478 stepsize= 1.000000
+dualbound = 2655396.576984, lowerbound=1179253.576984, norm of subgrad 1086.579761 dualbound = 2655396.576984, lowerbound=1179253.576984, norm of subgrad 39.971871 stepsize= 1.000000
+dualbound = 2655551.727213, lowerbound=1176400.727213, norm of subgrad 1085.271269 dualbound = 2655551.727213, lowerbound=1176400.727213, norm of subgrad 39.599877 stepsize= 1.000000
+dualbound = 2655722.556780, lowerbound=1179726.556780, norm of subgrad 1086.807507 dualbound = 2655722.556780, lowerbound=1179726.556780, norm of subgrad 39.935317 stepsize= 1.000000
+dualbound = 2655904.879195, lowerbound=1176832.879195, norm of subgrad 1085.480483 dualbound = 2655904.879195, lowerbound=1176832.879195, norm of subgrad 40.215947 stepsize= 1.000000
+dualbound = 2656042.537465, lowerbound=1175122.537465, norm of subgrad 1084.697441 dualbound = 2656042.537465, lowerbound=1175122.537465, norm of subgrad 39.795204 stepsize= 1.000000
+dualbound = 2656203.114104, lowerbound=1178770.114104, norm of subgrad 1086.390866 dualbound = 2656203.114104, lowerbound=1178770.114104, norm of subgrad 40.442263 stepsize= 1.000000
+dualbound = 2656392.143765, lowerbound=1176274.143765, norm of subgrad 1085.191294 dualbound = 2656392.143765, lowerbound=1176274.143765, norm of subgrad 39.433864 stepsize= 1.000000
+dualbound = 2656554.056961, lowerbound=1177746.056961, norm of subgrad 1085.892286 dualbound = 2656554.056961, lowerbound=1177746.056961, norm of subgrad 39.722956 stepsize= 1.000000
+dualbound = 2656691.383234, lowerbound=1179624.383234, norm of subgrad 1086.802366 dualbound = 2656691.383234, lowerbound=1179624.383234, norm of subgrad 40.648816 stepsize= 1.000000
+dualbound = 2656883.938860, lowerbound=1176802.938860, norm of subgrad 1085.454715 dualbound = 2656883.938860, lowerbound=1176802.938860, norm of subgrad 40.019441 stepsize= 1.000000
+dualbound = 2657029.767324, lowerbound=1178156.767324, norm of subgrad 1086.105321 dualbound = 2657029.767324, lowerbound=1178156.767324, norm of subgrad 40.172484 stepsize= 1.000000
+dualbound = 2657196.402176, lowerbound=1174714.402176, norm of subgrad 1084.544329 dualbound = 2657196.402176, lowerbound=1174714.402176, norm of subgrad 41.093002 stepsize= 1.000000
+dualbound = 2657363.166618, lowerbound=1182543.166618, norm of subgrad 1088.116339 dualbound = 2657363.166618, lowerbound=1182543.166618, norm of subgrad 40.258719 stepsize= 1.000000
+dualbound = 2657538.663645, lowerbound=1178733.663645, norm of subgrad 1086.370408 dualbound = 2657538.663645, lowerbound=1178733.663645, norm of subgrad 40.527732 stepsize= 1.000000
+dualbound = 2657690.529079, lowerbound=1176942.529079, norm of subgrad 1085.542505 dualbound = 2657690.529079, lowerbound=1176942.529079, norm of subgrad 40.148044 stepsize= 1.000000
+dualbound = 2657881.472302, lowerbound=1178083.472302, norm of subgrad 1086.077563 dualbound = 2657881.472302, lowerbound=1178083.472302, norm of subgrad 40.889402 stepsize= 1.000000
+dualbound = 2658050.327233, lowerbound=1177406.327233, norm of subgrad 1085.746438 dualbound = 2658050.327233, lowerbound=1177406.327233, norm of subgrad 40.098066 stepsize= 1.000000
+dualbound = 2658217.654431, lowerbound=1179919.654431, norm of subgrad 1086.903241 dualbound = 2658217.654431, lowerbound=1179919.654431, norm of subgrad 40.079012 stepsize= 1.000000
+dualbound = 2658368.016335, lowerbound=1179056.016335, norm of subgrad 1086.523362 dualbound = 2658368.016335, lowerbound=1179056.016335, norm of subgrad 40.340574 stepsize= 1.000000
+dualbound = 2658533.940181, lowerbound=1174606.940181, norm of subgrad 1084.460668 dualbound = 2658533.940181, lowerbound=1174606.940181, norm of subgrad 40.173671 stepsize= 1.000000
+dualbound = 2658718.828128, lowerbound=1179890.828128, norm of subgrad 1086.883999 dualbound = 2658718.828128, lowerbound=1179890.828128, norm of subgrad 40.135869 stepsize= 1.000000
+dualbound = 2658907.520701, lowerbound=1177254.520701, norm of subgrad 1085.665934 dualbound = 2658907.520701, lowerbound=1177254.520701, norm of subgrad 40.058614 stepsize= 1.000000
+dualbound = 2659065.903302, lowerbound=1178462.903302, norm of subgrad 1086.193308 dualbound = 2659065.903302, lowerbound=1178462.903302, norm of subgrad 38.876504 stepsize= 1.000000
+dualbound = 2659246.385475, lowerbound=1177773.385475, norm of subgrad 1085.894279 dualbound = 2659246.385475, lowerbound=1177773.385475, norm of subgrad 39.667142 stepsize= 1.000000
+dualbound = 2659395.929254, lowerbound=1180864.929254, norm of subgrad 1087.347658 dualbound = 2659395.929254, lowerbound=1180864.929254, norm of subgrad 40.119120 stepsize= 1.000000
+dualbound = 2659542.213250, lowerbound=1177374.213250, norm of subgrad 1085.740399 dualbound = 2659542.213250, lowerbound=1177374.213250, norm of subgrad 40.053514 stepsize= 1.000000
+dualbound = 2659701.880706, lowerbound=1178341.880706, norm of subgrad 1086.177187 dualbound = 2659701.880706, lowerbound=1178341.880706, norm of subgrad 39.983340 stepsize= 1.000000
+dualbound = 2659877.042409, lowerbound=1175356.042409, norm of subgrad 1084.829038 dualbound = 2659877.042409, lowerbound=1175356.042409, norm of subgrad 40.904299 stepsize= 1.000000
+dualbound = 2660038.524843, lowerbound=1181503.524843, norm of subgrad 1087.628395 dualbound = 2660038.524843, lowerbound=1181503.524843, norm of subgrad 39.918447 stepsize= 1.000000
+dualbound = 2660216.020073, lowerbound=1180497.020073, norm of subgrad 1087.159151 dualbound = 2660216.020073, lowerbound=1180497.020073, norm of subgrad 39.943651 stepsize= 1.000000
+dualbound = 2660392.317369, lowerbound=1175369.317369, norm of subgrad 1084.817642 dualbound = 2660392.317369, lowerbound=1175369.317369, norm of subgrad 40.451172 stepsize= 1.000000
+dualbound = 2660555.261365, lowerbound=1183691.261365, norm of subgrad 1088.644231 dualbound = 2660555.261365, lowerbound=1183691.261365, norm of subgrad 40.223675 stepsize= 1.000000
+dualbound = 2660712.784393, lowerbound=1180289.784393, norm of subgrad 1087.081315 dualbound = 2660712.784393, lowerbound=1180289.784393, norm of subgrad 40.168682 stepsize= 1.000000
+dualbound = 2660886.597636, lowerbound=1177273.597636, norm of subgrad 1085.653074 dualbound = 2660886.597636, lowerbound=1177273.597636, norm of subgrad 39.278661 stepsize= 1.000000
+dualbound = 2661063.349228, lowerbound=1175915.349228, norm of subgrad 1085.042556 dualbound = 2661063.349228, lowerbound=1175915.349228, norm of subgrad 39.733507 stepsize= 1.000000
+dualbound = 2661216.632742, lowerbound=1178074.632742, norm of subgrad 1086.056459 dualbound = 2661216.632742, lowerbound=1178074.632742, norm of subgrad 39.966030 stepsize= 1.000000
+dualbound = 2661372.784587, lowerbound=1175916.784587, norm of subgrad 1085.060729 dualbound = 2661372.784587, lowerbound=1175916.784587, norm of subgrad 39.951869 stepsize= 1.000000
+dualbound = 2661544.241887, lowerbound=1179118.241887, norm of subgrad 1086.531289 dualbound = 2661544.241887, lowerbound=1179118.241887, norm of subgrad 40.043193 stepsize= 1.000000
+dualbound = 2661727.004511, lowerbound=1178292.004511, norm of subgrad 1086.157449 dualbound = 2661727.004511, lowerbound=1178292.004511, norm of subgrad 40.357931 stepsize= 1.000000
+dualbound = 2661892.883478, lowerbound=1178899.883478, norm of subgrad 1086.440925 dualbound = 2661892.883478, lowerbound=1178899.883478, norm of subgrad 40.247720 stepsize= 1.000000
+dualbound = 2662037.780799, lowerbound=1178112.780799, norm of subgrad 1086.090595 dualbound = 2662037.780799, lowerbound=1178112.780799, norm of subgrad 40.310015 stepsize= 1.000000
+dualbound = 2662221.069783, lowerbound=1182988.069783, norm of subgrad 1088.317081 dualbound = 2662221.069783, lowerbound=1182988.069783, norm of subgrad 40.364452 stepsize= 1.000000
+dualbound = 2662377.811051, lowerbound=1174002.811051, norm of subgrad 1084.189933 dualbound = 2662377.811051, lowerbound=1174002.811051, norm of subgrad 40.270849 stepsize= 1.000000
+dualbound = 2662538.958065, lowerbound=1178684.958065, norm of subgrad 1086.374686 dualbound = 2662538.958065, lowerbound=1178684.958065, norm of subgrad 41.062720 stepsize= 1.000000
+dualbound = 2662714.625795, lowerbound=1176001.625795, norm of subgrad 1085.089225 dualbound = 2662714.625795, lowerbound=1176001.625795, norm of subgrad 39.908241 stepsize= 1.000000
+dualbound = 2662895.505734, lowerbound=1179231.505734, norm of subgrad 1086.575127 dualbound = 2662895.505734, lowerbound=1179231.505734, norm of subgrad 39.935948 stepsize= 1.000000
+dualbound = 2663055.259911, lowerbound=1176697.259911, norm of subgrad 1085.425843 dualbound = 2663055.259911, lowerbound=1176697.259911, norm of subgrad 40.146658 stepsize= 1.000000
+dualbound = 2663228.769792, lowerbound=1178430.769792, norm of subgrad 1086.219945 dualbound = 2663228.769792, lowerbound=1178430.769792, norm of subgrad 40.205844 stepsize= 1.000000
+dualbound = 2663355.871585, lowerbound=1178084.871585, norm of subgrad 1086.086954 dualbound = 2663355.871585, lowerbound=1178084.871585, norm of subgrad 40.337350 stepsize= 1.000000
+dualbound = 2663530.058231, lowerbound=1180298.058231, norm of subgrad 1087.106737 dualbound = 2663530.058231, lowerbound=1180298.058231, norm of subgrad 40.953469 stepsize= 1.000000
+dualbound = 2663705.615170, lowerbound=1176308.615170, norm of subgrad 1085.257396 dualbound = 2663705.615170, lowerbound=1176308.615170, norm of subgrad 40.627047 stepsize= 1.000000
+dualbound = 2663863.706451, lowerbound=1180401.706451, norm of subgrad 1087.123133 dualbound = 2663863.706451, lowerbound=1180401.706451, norm of subgrad 39.913548 stepsize= 1.000000
+dualbound = 2664048.014646, lowerbound=1181468.014646, norm of subgrad 1087.616667 dualbound = 2664048.014646, lowerbound=1181468.014646, norm of subgrad 40.327512 stepsize= 1.000000
+dualbound = 2664209.102110, lowerbound=1176589.102110, norm of subgrad 1085.369109 dualbound = 2664209.102110, lowerbound=1176589.102110, norm of subgrad 39.976086 stepsize= 1.000000
+dualbound = 2664352.832869, lowerbound=1180435.832869, norm of subgrad 1087.142048 dualbound = 2664352.832869, lowerbound=1180435.832869, norm of subgrad 39.821235 stepsize= 1.000000
+dualbound = 2664553.039611, lowerbound=1180345.039611, norm of subgrad 1087.091091 dualbound = 2664553.039611, lowerbound=1180345.039611, norm of subgrad 40.276628 stepsize= 1.000000
+dualbound = 2664709.279422, lowerbound=1175141.279422, norm of subgrad 1084.657217 dualbound = 2664709.279422, lowerbound=1175141.279422, norm of subgrad 38.681259 stepsize= 1.000000
+dualbound = 2664922.065487, lowerbound=1180656.065487, norm of subgrad 1087.224018 dualbound = 2664922.065487, lowerbound=1180656.065487, norm of subgrad 40.159508 stepsize= 1.000000
+dualbound = 2665035.649986, lowerbound=1174890.649986, norm of subgrad 1084.576254 dualbound = 2665035.649986, lowerbound=1174890.649986, norm of subgrad 39.097116 stepsize= 1.000000
+dualbound = 2665213.945227, lowerbound=1179681.945227, norm of subgrad 1086.779161 dualbound = 2665213.945227, lowerbound=1179681.945227, norm of subgrad 39.815766 stepsize= 1.000000
+dualbound = 2665372.846174, lowerbound=1177827.846174, norm of subgrad 1085.959873 dualbound = 2665372.846174, lowerbound=1177827.846174, norm of subgrad 40.495690 stepsize= 1.000000
+dualbound = 2665540.896451, lowerbound=1183214.896451, norm of subgrad 1088.429096 dualbound = 2665540.896451, lowerbound=1183214.896451, norm of subgrad 40.386263 stepsize= 1.000000
+dualbound = 2665693.511575, lowerbound=1173670.511575, norm of subgrad 1084.014996 dualbound = 2665693.511575, lowerbound=1173670.511575, norm of subgrad 39.630987 stepsize= 1.000000
+dualbound = 2665882.933383, lowerbound=1177596.933383, norm of subgrad 1085.856313 dualbound = 2665882.933383, lowerbound=1177596.933383, norm of subgrad 40.944130 stepsize= 1.000000
+dualbound = 2665997.831649, lowerbound=1182638.831649, norm of subgrad 1088.189704 dualbound = 2665997.831649, lowerbound=1182638.831649, norm of subgrad 40.409136 stepsize= 1.000000
+dualbound = 2666206.023105, lowerbound=1179454.023105, norm of subgrad 1086.683497 dualbound = 2666206.023105, lowerbound=1179454.023105, norm of subgrad 40.437501 stepsize= 1.000000
+dualbound = 2666377.558028, lowerbound=1179199.558028, norm of subgrad 1086.583894 dualbound = 2666377.558028, lowerbound=1179199.558028, norm of subgrad 40.454109 stepsize= 1.000000
+dualbound = 2666524.742932, lowerbound=1178859.742932, norm of subgrad 1086.424753 dualbound = 2666524.742932, lowerbound=1178859.742932, norm of subgrad 40.077237 stepsize= 1.000000
+dualbound = 2666704.425855, lowerbound=1177104.425855, norm of subgrad 1085.601412 dualbound = 2666704.425855, lowerbound=1177104.425855, norm of subgrad 40.070974 stepsize= 1.000000
+dualbound = 2666866.125756, lowerbound=1181451.125756, norm of subgrad 1087.605225 dualbound = 2666866.125756, lowerbound=1181451.125756, norm of subgrad 39.946213 stepsize= 1.000000
+dualbound = 2667009.428872, lowerbound=1174163.428872, norm of subgrad 1084.265848 dualbound = 2667009.428872, lowerbound=1174163.428872, norm of subgrad 40.153494 stepsize= 1.000000
+dualbound = 2667205.323991, lowerbound=1179976.323991, norm of subgrad 1086.930690 dualbound = 2667205.323991, lowerbound=1179976.323991, norm of subgrad 40.470917 stepsize= 1.000000
+dualbound = 2667379.075025, lowerbound=1180332.075025, norm of subgrad 1087.086968 dualbound = 2667379.075025, lowerbound=1180332.075025, norm of subgrad 39.996888 stepsize= 1.000000
+dualbound = 2667545.133699, lowerbound=1179614.133699, norm of subgrad 1086.751183 dualbound = 2667545.133699, lowerbound=1179614.133699, norm of subgrad 39.749952 stepsize= 1.000000
+dualbound = 2667722.348067, lowerbound=1179029.348067, norm of subgrad 1086.456786 dualbound = 2667722.348067, lowerbound=1179029.348067, norm of subgrad 39.194571 stepsize= 1.000000
+dualbound = 2667871.486600, lowerbound=1179810.486600, norm of subgrad 1086.892583 dualbound = 2667871.486600, lowerbound=1179810.486600, norm of subgrad 40.916238 stepsize= 1.000000
+dualbound = 2668011.481159, lowerbound=1182020.481159, norm of subgrad 1087.886704 dualbound = 2668011.481159, lowerbound=1182020.481159, norm of subgrad 40.211871 stepsize= 1.000000
+dualbound = 2668203.033218, lowerbound=1176893.033218, norm of subgrad 1085.498058 dualbound = 2668203.033218, lowerbound=1176893.033218, norm of subgrad 40.056860 stepsize= 1.000000
+dualbound = 2668340.535995, lowerbound=1181221.535995, norm of subgrad 1087.507948 dualbound = 2668340.535995, lowerbound=1181221.535995, norm of subgrad 39.868569 stepsize= 1.000000
+dualbound = 2668546.204182, lowerbound=1177166.204182, norm of subgrad 1085.648748 dualbound = 2668546.204182, lowerbound=1177166.204182, norm of subgrad 40.898266 stepsize= 1.000000
+dualbound = 2668684.606370, lowerbound=1178958.606370, norm of subgrad 1086.490040 dualbound = 2668684.606370, lowerbound=1178958.606370, norm of subgrad 40.501879 stepsize= 1.000000
+dualbound = 2668852.496778, lowerbound=1176905.496778, norm of subgrad 1085.522684 dualbound = 2668852.496778, lowerbound=1176905.496778, norm of subgrad 40.272701 stepsize= 1.000000
+dualbound = 2669025.316643, lowerbound=1177657.316643, norm of subgrad 1085.868462 dualbound = 2669025.316643, lowerbound=1177657.316643, norm of subgrad 40.321457 stepsize= 1.000000
+dualbound = 2669215.573156, lowerbound=1179089.573156, norm of subgrad 1086.505211 dualbound = 2669215.573156, lowerbound=1179089.573156, norm of subgrad 39.928142 stepsize= 1.000000
+dualbound = 2669381.506862, lowerbound=1178743.506862, norm of subgrad 1086.337658 dualbound = 2669381.506862, lowerbound=1178743.506862, norm of subgrad 39.394590 stepsize= 1.000000
+dualbound = 2669537.944304, lowerbound=1173598.944304, norm of subgrad 1083.983369 dualbound = 2669537.944304, lowerbound=1173598.944304, norm of subgrad 39.716967 stepsize= 1.000000
+dualbound = 2669698.557338, lowerbound=1180568.557338, norm of subgrad 1087.209528 dualbound = 2669698.557338, lowerbound=1180568.557338, norm of subgrad 40.207127 stepsize= 1.000000
+dualbound = 2669859.022219, lowerbound=1176913.022219, norm of subgrad 1085.545956 dualbound = 2669859.022219, lowerbound=1176913.022219, norm of subgrad 40.711975 stepsize= 1.000000
+dualbound = 2669992.792267, lowerbound=1184708.792267, norm of subgrad 1089.114683 dualbound = 2669992.792267, lowerbound=1184708.792267, norm of subgrad 39.947091 stepsize= 1.000000
+dualbound = 2670194.806767, lowerbound=1179801.806767, norm of subgrad 1086.824644 dualbound = 2670194.806767, lowerbound=1179801.806767, norm of subgrad 39.849900 stepsize= 1.000000
+dualbound = 2670357.768968, lowerbound=1179019.768968, norm of subgrad 1086.455599 dualbound = 2670357.768968, lowerbound=1179019.768968, norm of subgrad 39.101946 stepsize= 1.000000
+dualbound = 2670551.752892, lowerbound=1178992.752892, norm of subgrad 1086.482744 dualbound = 2670551.752892, lowerbound=1178992.752892, norm of subgrad 40.570727 stepsize= 1.000000
+dualbound = 2670649.024888, lowerbound=1180332.024888, norm of subgrad 1087.092004 dualbound = 2670649.024888, lowerbound=1180332.024888, norm of subgrad 39.169784 stepsize= 1.000000
+dualbound = 2670866.535501, lowerbound=1184256.535501, norm of subgrad 1088.878109 dualbound = 2670866.535501, lowerbound=1184256.535501, norm of subgrad 40.205853 stepsize= 1.000000
+dualbound = 2671011.960637, lowerbound=1177965.960637, norm of subgrad 1085.999521 dualbound = 2671011.960637, lowerbound=1177965.960637, norm of subgrad 39.679026 stepsize= 1.000000
+dualbound = 2671182.256238, lowerbound=1180046.256238, norm of subgrad 1086.980798 dualbound = 2671182.256238, lowerbound=1180046.256238, norm of subgrad 40.636137 stepsize= 1.000000
+dualbound = 2671304.601362, lowerbound=1180602.601362, norm of subgrad 1087.261975 dualbound = 2671304.601362, lowerbound=1180602.601362, norm of subgrad 40.722784 stepsize= 1.000000
+dualbound = 2671487.364052, lowerbound=1179891.364052, norm of subgrad 1086.908167 dualbound = 2671487.364052, lowerbound=1179891.364052, norm of subgrad 40.752456 stepsize= 1.000000
+dualbound = 2671671.932463, lowerbound=1179484.932463, norm of subgrad 1086.734527 dualbound = 2671671.932463, lowerbound=1179484.932463, norm of subgrad 41.128681 stepsize= 1.000000
+dualbound = 2671788.967892, lowerbound=1180082.967892, norm of subgrad 1087.030344 dualbound = 2671788.967892, lowerbound=1180082.967892, norm of subgrad 40.853830 stepsize= 1.000000
+dualbound = 2671992.302985, lowerbound=1178724.302985, norm of subgrad 1086.351832 dualbound = 2671992.302985, lowerbound=1178724.302985, norm of subgrad 40.488703 stepsize= 1.000000
+dualbound = 2672179.007727, lowerbound=1178151.007727, norm of subgrad 1086.049266 dualbound = 2672179.007727, lowerbound=1178151.007727, norm of subgrad 39.226327 stepsize= 1.000000
+dualbound = 2672362.250690, lowerbound=1175234.250690, norm of subgrad 1084.728192 dualbound = 2672362.250690, lowerbound=1175234.250690, norm of subgrad 39.802550 stepsize= 1.000000
+dualbound = 2672496.121878, lowerbound=1179887.121878, norm of subgrad 1086.882294 dualbound = 2672496.121878, lowerbound=1179887.121878, norm of subgrad 39.495205 stepsize= 1.000000
+dualbound = 2672679.031332, lowerbound=1179384.031332, norm of subgrad 1086.631967 dualbound = 2672679.031332, lowerbound=1179384.031332, norm of subgrad 39.596836 stepsize= 1.000000
+dualbound = 2672853.257551, lowerbound=1177563.257551, norm of subgrad 1085.796140 dualbound = 2672853.257551, lowerbound=1177563.257551, norm of subgrad 39.550300 stepsize= 1.000000
+dualbound = 2673007.867620, lowerbound=1179964.867620, norm of subgrad 1086.938760 dualbound = 2673007.867620, lowerbound=1179964.867620, norm of subgrad 40.318855 stepsize= 1.000000
+dualbound = 2673144.553494, lowerbound=1178443.553494, norm of subgrad 1086.226290 dualbound = 2673144.553494, lowerbound=1178443.553494, norm of subgrad 39.757840 stepsize= 1.000000
+dualbound = 2673345.861010, lowerbound=1183601.861010, norm of subgrad 1088.599955 dualbound = 2673345.861010, lowerbound=1183601.861010, norm of subgrad 40.611667 stepsize= 1.000000
+dualbound = 2673481.462281, lowerbound=1181538.462281, norm of subgrad 1087.643996 dualbound = 2673481.462281, lowerbound=1181538.462281, norm of subgrad 39.580314 stepsize= 1.000000
+dualbound = 2673682.408502, lowerbound=1175708.408502, norm of subgrad 1084.947652 dualbound = 2673682.408502, lowerbound=1175708.408502, norm of subgrad 40.049297 stepsize= 1.000000
+dualbound = 2673824.141907, lowerbound=1180849.141907, norm of subgrad 1087.340398 dualbound = 2673824.141907, lowerbound=1180849.141907, norm of subgrad 40.021662 stepsize= 1.000000
+dualbound = 2673975.490300, lowerbound=1184670.490300, norm of subgrad 1089.096640 dualbound = 2673975.490300, lowerbound=1184670.490300, norm of subgrad 40.154058 stepsize= 1.000000
+dualbound = 2674142.069770, lowerbound=1177674.069770, norm of subgrad 1085.863744 dualbound = 2674142.069770, lowerbound=1177674.069770, norm of subgrad 39.907136 stepsize= 1.000000
+dualbound = 2674330.165752, lowerbound=1179472.165752, norm of subgrad 1086.672520 dualbound = 2674330.165752, lowerbound=1179472.165752, norm of subgrad 39.662274 stepsize= 1.000000
+dualbound = 2674497.676331, lowerbound=1175012.676331, norm of subgrad 1084.625593 dualbound = 2674497.676331, lowerbound=1175012.676331, norm of subgrad 39.591799 stepsize= 1.000000
+dualbound = 2674642.902377, lowerbound=1181242.902377, norm of subgrad 1087.499840 dualbound = 2674642.902377, lowerbound=1181242.902377, norm of subgrad 39.474372 stepsize= 1.000000
+dualbound = 2674802.179558, lowerbound=1179632.179558, norm of subgrad 1086.756725 dualbound = 2674802.179558, lowerbound=1179632.179558, norm of subgrad 39.588852 stepsize= 1.000000
+dualbound = 2674978.556412, lowerbound=1181416.556412, norm of subgrad 1087.592091 dualbound = 2674978.556412, lowerbound=1181416.556412, norm of subgrad 40.204190 stepsize= 1.000000
+dualbound = 2675176.679190, lowerbound=1174014.679190, norm of subgrad 1084.168197 dualbound = 2675176.679190, lowerbound=1174014.679190, norm of subgrad 40.051502 stepsize= 1.000000
+dualbound = 2675288.698997, lowerbound=1180202.698997, norm of subgrad 1087.070236 dualbound = 2675288.698997, lowerbound=1180202.698997, norm of subgrad 40.385886 stepsize= 1.000000
+dualbound = 2675441.200612, lowerbound=1181449.200612, norm of subgrad 1087.633302 dualbound = 2675441.200612, lowerbound=1181449.200612, norm of subgrad 40.614057 stepsize= 1.000000
+dualbound = 2675636.208904, lowerbound=1176103.208904, norm of subgrad 1085.135572 dualbound = 2675636.208904, lowerbound=1176103.208904, norm of subgrad 40.137368 stepsize= 1.000000
+dualbound = 2675790.779845, lowerbound=1182207.779845, norm of subgrad 1087.971406 dualbound = 2675790.779845, lowerbound=1182207.779845, norm of subgrad 40.355557 stepsize= 1.000000
+dualbound = 2675938.032567, lowerbound=1181892.032567, norm of subgrad 1087.845133 dualbound = 2675938.032567, lowerbound=1181892.032567, norm of subgrad 40.770734 stepsize= 1.000000
+dualbound = 2676102.014224, lowerbound=1178162.014224, norm of subgrad 1086.097608 dualbound = 2676102.014224, lowerbound=1178162.014224, norm of subgrad 40.124577 stepsize= 1.000000
+dualbound = 2676298.709868, lowerbound=1181420.709868, norm of subgrad 1087.612849 dualbound = 2676298.709868, lowerbound=1181420.709868, norm of subgrad 40.959683 stepsize= 1.000000
+dualbound = 2676448.938536, lowerbound=1179745.938536, norm of subgrad 1086.811823 dualbound = 2676448.938536, lowerbound=1179745.938536, norm of subgrad 39.550331 stepsize= 1.000000
+dualbound = 2676623.353417, lowerbound=1181883.353417, norm of subgrad 1087.814025 dualbound = 2676623.353417, lowerbound=1181883.353417, norm of subgrad 40.378396 stepsize= 1.000000
+dualbound = 2676787.157778, lowerbound=1176458.157778, norm of subgrad 1085.330437 dualbound = 2676787.157778, lowerbound=1176458.157778, norm of subgrad 40.593157 stepsize= 1.000000
+dualbound = 2676933.537806, lowerbound=1179062.537806, norm of subgrad 1086.528664 dualbound = 2676933.537806, lowerbound=1179062.537806, norm of subgrad 40.353191 stepsize= 1.000000
+dualbound = 2677107.425786, lowerbound=1182404.425786, norm of subgrad 1088.035122 dualbound = 2677107.425786, lowerbound=1182404.425786, norm of subgrad 39.873399 stepsize= 1.000000
+dualbound = 2677281.382995, lowerbound=1179270.382995, norm of subgrad 1086.593016 dualbound = 2677281.382995, lowerbound=1179270.382995, norm of subgrad 39.849181 stepsize= 1.000000
+dualbound = 2677444.664113, lowerbound=1177913.664113, norm of subgrad 1086.004910 dualbound = 2677444.664113, lowerbound=1177913.664113, norm of subgrad 40.697434 stepsize= 1.000000
+dualbound = 2677581.269768, lowerbound=1180883.269768, norm of subgrad 1087.374944 dualbound = 2677581.269768, lowerbound=1180883.269768, norm of subgrad 40.467341 stepsize= 1.000000
+dualbound = 2677798.954855, lowerbound=1175515.954855, norm of subgrad 1084.830381 dualbound = 2677798.954855, lowerbound=1175515.954855, norm of subgrad 39.480186 stepsize= 1.000000
+dualbound = 2677956.955255, lowerbound=1183498.955255, norm of subgrad 1088.515023 dualbound = 2677956.955255, lowerbound=1183498.955255, norm of subgrad 39.038448 stepsize= 1.000000
+dualbound = 2678124.384698, lowerbound=1181873.384698, norm of subgrad 1087.763019 dualbound = 2678124.384698, lowerbound=1181873.384698, norm of subgrad 39.018322 stepsize= 1.000000
+dualbound = 2678322.691710, lowerbound=1178806.691710, norm of subgrad 1086.352011 dualbound = 2678322.691710, lowerbound=1178806.691710, norm of subgrad 39.399328 stepsize= 1.000000
+dualbound = 2678444.422723, lowerbound=1183205.422723, norm of subgrad 1088.400856 dualbound = 2678444.422723, lowerbound=1183205.422723, norm of subgrad 39.150109 stepsize= 1.000000
+dualbound = 2678611.115568, lowerbound=1179634.115568, norm of subgrad 1086.782920 dualbound = 2678611.115568, lowerbound=1179634.115568, norm of subgrad 40.369454 stepsize= 1.000000
+dualbound = 2678780.133467, lowerbound=1178267.133467, norm of subgrad 1086.117458 dualbound = 2678780.133467, lowerbound=1178267.133467, norm of subgrad 39.408348 stepsize= 1.000000
+dualbound = 2678950.604102, lowerbound=1180771.604102, norm of subgrad 1087.273013 dualbound = 2678950.604102, lowerbound=1180771.604102, norm of subgrad 39.515448 stepsize= 1.000000
+dualbound = 2679107.217030, lowerbound=1178505.217030, norm of subgrad 1086.245928 dualbound = 2679107.217030, lowerbound=1178505.217030, norm of subgrad 39.769497 stepsize= 1.000000
+dualbound = 2679255.029165, lowerbound=1173530.029165, norm of subgrad 1083.951581 dualbound = 2679255.029165, lowerbound=1173530.029165, norm of subgrad 39.608233 stepsize= 1.000000
+dualbound = 2679450.625794, lowerbound=1181580.625794, norm of subgrad 1087.663839 dualbound = 2679450.625794, lowerbound=1181580.625794, norm of subgrad 40.343483 stepsize= 1.000000
+dualbound = 2679590.804361, lowerbound=1178019.804361, norm of subgrad 1086.028915 dualbound = 2679590.804361, lowerbound=1178019.804361, norm of subgrad 39.738880 stepsize= 1.000000
+dualbound = 2679759.993065, lowerbound=1181694.993065, norm of subgrad 1087.762839 dualbound = 2679759.993065, lowerbound=1181694.993065, norm of subgrad 41.257590 stepsize= 1.000000
+dualbound = 2679906.524829, lowerbound=1181123.524829, norm of subgrad 1087.485873 dualbound = 2679906.524829, lowerbound=1181123.524829, norm of subgrad 40.602115 stepsize= 1.000000
+dualbound = 2680097.222844, lowerbound=1181788.222844, norm of subgrad 1087.760646 dualbound = 2680097.222844, lowerbound=1181788.222844, norm of subgrad 40.319946 stepsize= 1.000000
+dualbound = 2680244.379457, lowerbound=1178353.379457, norm of subgrad 1086.182940 dualbound = 2680244.379457, lowerbound=1178353.379457, norm of subgrad 39.839134 stepsize= 1.000000
+dualbound = 2680409.398726, lowerbound=1177596.398726, norm of subgrad 1085.858830 dualbound = 2680409.398726, lowerbound=1177596.398726, norm of subgrad 40.718783 stepsize= 1.000000
+dualbound = 2680547.931677, lowerbound=1180854.931677, norm of subgrad 1087.354557 dualbound = 2680547.931677, lowerbound=1180854.931677, norm of subgrad 40.293088 stepsize= 1.000000
+dualbound = 2680743.580070, lowerbound=1182331.580070, norm of subgrad 1088.006241 dualbound = 2680743.580070, lowerbound=1182331.580070, norm of subgrad 40.269696 stepsize= 1.000000
+dualbound = 2680900.620532, lowerbound=1179089.620532, norm of subgrad 1086.524560 dualbound = 2680900.620532, lowerbound=1179089.620532, norm of subgrad 40.037988 stepsize= 1.000000
+dualbound = 2681105.341854, lowerbound=1183017.341854, norm of subgrad 1088.305261 dualbound = 2681105.341854, lowerbound=1183017.341854, norm of subgrad 39.946481 stepsize= 1.000000
+dualbound = 2681229.367650, lowerbound=1179313.367650, norm of subgrad 1086.622459 dualbound = 2681229.367650, lowerbound=1179313.367650, norm of subgrad 39.484501 stepsize= 1.000000
+dualbound = 2681422.625350, lowerbound=1177447.625350, norm of subgrad 1085.755325 dualbound = 2681422.625350, lowerbound=1177447.625350, norm of subgrad 40.128016 stepsize= 1.000000
+dualbound = 2681548.201164, lowerbound=1179130.201164, norm of subgrad 1086.519766 dualbound = 2681548.201164, lowerbound=1179130.201164, norm of subgrad 38.994561 stepsize= 1.000000
+dualbound = 2681761.118694, lowerbound=1180280.118694, norm of subgrad 1087.063990 dualbound = 2681761.118694, lowerbound=1180280.118694, norm of subgrad 40.508240 stepsize= 1.000000
+dualbound = 2681866.594807, lowerbound=1178216.594807, norm of subgrad 1086.140688 dualbound = 2681866.594807, lowerbound=1178216.594807, norm of subgrad 39.880774 stepsize= 1.000000
+dualbound = 2682047.032864, lowerbound=1183525.032864, norm of subgrad 1088.585336 dualbound = 2682047.032864, lowerbound=1183525.032864, norm of subgrad 40.907677 stepsize= 1.000000
+dualbound = 2682217.190292, lowerbound=1178836.190292, norm of subgrad 1086.423578 dualbound = 2682217.190292, lowerbound=1178836.190292, norm of subgrad 40.622130 stepsize= 1.000000
+dualbound = 2682383.793870, lowerbound=1180626.793870, norm of subgrad 1087.215155 dualbound = 2682383.793870, lowerbound=1180626.793870, norm of subgrad 39.706468 stepsize= 1.000000
+dualbound = 2682569.882832, lowerbound=1178561.882832, norm of subgrad 1086.277075 dualbound = 2682569.882832, lowerbound=1178561.882832, norm of subgrad 40.275166 stepsize= 1.000000
+dualbound = 2682733.070960, lowerbound=1180240.070960, norm of subgrad 1087.025331 dualbound = 2682733.070960, lowerbound=1180240.070960, norm of subgrad 39.334312 stepsize= 1.000000
+dualbound = 2682893.682056, lowerbound=1180308.682056, norm of subgrad 1087.073448 dualbound = 2682893.682056, lowerbound=1180308.682056, norm of subgrad 39.756900 stepsize= 1.000000
+dualbound = 2683036.270762, lowerbound=1182289.270762, norm of subgrad 1087.989095 dualbound = 2683036.270762, lowerbound=1182289.270762, norm of subgrad 39.668485 stepsize= 1.000000
+dualbound = 2683187.106538, lowerbound=1180993.106538, norm of subgrad 1087.399700 dualbound = 2683187.106538, lowerbound=1180993.106538, norm of subgrad 39.947913 stepsize= 1.000000
+dualbound = 2683373.734419, lowerbound=1181870.734419, norm of subgrad 1087.832586 dualbound = 2683373.734419, lowerbound=1181870.734419, norm of subgrad 41.178002 stepsize= 1.000000
+dualbound = 2683515.380770, lowerbound=1177444.380770, norm of subgrad 1085.761659 dualbound = 2683515.380770, lowerbound=1177444.380770, norm of subgrad 39.694412 stepsize= 1.000000
+dualbound = 2683708.201340, lowerbound=1184859.201340, norm of subgrad 1089.140120 dualbound = 2683708.201340, lowerbound=1184859.201340, norm of subgrad 39.494564 stepsize= 1.000000
+dualbound = 2683870.442593, lowerbound=1174973.442593, norm of subgrad 1084.618570 dualbound = 2683870.442593, lowerbound=1174973.442593, norm of subgrad 39.827644 stepsize= 1.000000
+dualbound = 2684009.408550, lowerbound=1184885.408550, norm of subgrad 1089.204025 dualbound = 2684009.408550, lowerbound=1184885.408550, norm of subgrad 40.236376 stepsize= 1.000000
+dualbound = 2684180.053762, lowerbound=1178300.053762, norm of subgrad 1086.193838 dualbound = 2684180.053762, lowerbound=1178300.053762, norm of subgrad 41.080959 stepsize= 1.000000
+dualbound = 2684328.068094, lowerbound=1181467.068094, norm of subgrad 1087.620829 dualbound = 2684328.068094, lowerbound=1181467.068094, norm of subgrad 40.000179 stepsize= 1.000000
+dualbound = 2684498.560324, lowerbound=1178135.560324, norm of subgrad 1086.078524 dualbound = 2684498.560324, lowerbound=1178135.560324, norm of subgrad 40.018649 stepsize= 1.000000
+dualbound = 2684698.975443, lowerbound=1178257.975443, norm of subgrad 1086.129815 dualbound = 2684698.975443, lowerbound=1178257.975443, norm of subgrad 40.254380 stepsize= 1.000000
+dualbound = 2684838.919298, lowerbound=1179624.919298, norm of subgrad 1086.765807 dualbound = 2684838.919298, lowerbound=1179624.919298, norm of subgrad 39.685562 stepsize= 1.000000
+dualbound = 2684980.891377, lowerbound=1183160.891377, norm of subgrad 1088.412556 dualbound = 2684980.891377, lowerbound=1183160.891377, norm of subgrad 40.286128 stepsize= 1.000000
+dualbound = 2685171.600731, lowerbound=1182803.600731, norm of subgrad 1088.225437 dualbound = 2685171.600731, lowerbound=1182803.600731, norm of subgrad 40.270453 stepsize= 1.000000
+dualbound = 2685339.243219, lowerbound=1178261.243219, norm of subgrad 1086.098174 dualbound = 2685339.243219, lowerbound=1178261.243219, norm of subgrad 38.931253 stepsize= 1.000000
+dualbound = 2685527.677585, lowerbound=1176502.677585, norm of subgrad 1085.294282 dualbound = 2685527.677585, lowerbound=1176502.677585, norm of subgrad 39.362855 stepsize= 1.000000
+dualbound = 2685671.441351, lowerbound=1179491.441351, norm of subgrad 1086.694272 dualbound = 2685671.441351, lowerbound=1179491.441351, norm of subgrad 39.455846 stepsize= 1.000000
+dualbound = 2685818.557788, lowerbound=1184503.557788, norm of subgrad 1089.021835 dualbound = 2685818.557788, lowerbound=1184503.557788, norm of subgrad 40.151170 stepsize= 1.000000
+dualbound = 2685976.366973, lowerbound=1183346.366973, norm of subgrad 1088.483058 dualbound = 2685976.366973, lowerbound=1183346.366973, norm of subgrad 40.085024 stepsize= 1.000000
+dualbound = 2686148.550505, lowerbound=1179321.550505, norm of subgrad 1086.624843 dualbound = 2686148.550505, lowerbound=1179321.550505, norm of subgrad 40.052260 stepsize= 1.000000
+dualbound = 2686303.378394, lowerbound=1181832.378394, norm of subgrad 1087.796570 dualbound = 2686303.378394, lowerbound=1181832.378394, norm of subgrad 40.296748 stepsize= 1.000000
+dualbound = 2686436.696452, lowerbound=1178653.696452, norm of subgrad 1086.337745 dualbound = 2686436.696452, lowerbound=1178653.696452, norm of subgrad 40.116307 stepsize= 1.000000
+dualbound = 2686633.598418, lowerbound=1179449.598418, norm of subgrad 1086.698025 dualbound = 2686633.598418, lowerbound=1179449.598418, norm of subgrad 40.741894 stepsize= 1.000000
+dualbound = 2686793.239018, lowerbound=1182337.239018, norm of subgrad 1088.021249 dualbound = 2686793.239018, lowerbound=1182337.239018, norm of subgrad 40.157697 stepsize= 1.000000
+dualbound = 2686958.417687, lowerbound=1182036.417687, norm of subgrad 1087.879321 dualbound = 2686958.417687, lowerbound=1182036.417687, norm of subgrad 40.127032 stepsize= 1.000000
+dualbound = 2687130.215909, lowerbound=1180204.215909, norm of subgrad 1087.039657 dualbound = 2687130.215909, lowerbound=1180204.215909, norm of subgrad 40.283970 stepsize= 1.000000
+dualbound = 2687275.134435, lowerbound=1176330.134435, norm of subgrad 1085.261321 dualbound = 2687275.134435, lowerbound=1176330.134435, norm of subgrad 40.086388 stepsize= 1.000000
+dualbound = 2687470.671376, lowerbound=1178995.671376, norm of subgrad 1086.489149 dualbound = 2687470.671376, lowerbound=1178995.671376, norm of subgrad 40.725139 stepsize= 1.000000
+dualbound = 2687595.132269, lowerbound=1178490.132269, norm of subgrad 1086.267523 dualbound = 2687595.132269, lowerbound=1178490.132269, norm of subgrad 40.143006 stepsize= 1.000000
+dualbound = 2687768.868608, lowerbound=1178800.868608, norm of subgrad 1086.403640 dualbound = 2687768.868608, lowerbound=1178800.868608, norm of subgrad 40.567676 stepsize= 1.000000
+dualbound = 2687944.268993, lowerbound=1183393.268993, norm of subgrad 1088.503684 dualbound = 2687944.268993, lowerbound=1183393.268993, norm of subgrad 40.279032 stepsize= 1.000000
+dualbound = 2688086.759831, lowerbound=1181701.759831, norm of subgrad 1087.744345 dualbound = 2688086.759831, lowerbound=1181701.759831, norm of subgrad 40.354564 stepsize= 1.000000
+dualbound = 2688271.806982, lowerbound=1177031.806982, norm of subgrad 1085.568886 dualbound = 2688271.806982, lowerbound=1177031.806982, norm of subgrad 40.162758 stepsize= 1.000000
+dualbound = 2688450.470441, lowerbound=1180697.470441, norm of subgrad 1087.248118 dualbound = 2688450.470441, lowerbound=1180697.470441, norm of subgrad 39.870584 stepsize= 1.000000
+dualbound = 2688623.695041, lowerbound=1177753.695041, norm of subgrad 1085.887054 dualbound = 2688623.695041, lowerbound=1177753.695041, norm of subgrad 39.626060 stepsize= 1.000000
+dualbound = 2688775.709480, lowerbound=1182601.709480, norm of subgrad 1088.151051 dualbound = 2688775.709480, lowerbound=1182601.709480, norm of subgrad 40.286653 stepsize= 1.000000
+dualbound = 2688932.741263, lowerbound=1181551.741263, norm of subgrad 1087.681820 dualbound = 2688932.741263, lowerbound=1181551.741263, norm of subgrad 40.706655 stepsize= 1.000000
+dualbound = 2689080.519070, lowerbound=1179412.519070, norm of subgrad 1086.646916 dualbound = 2689080.519070, lowerbound=1179412.519070, norm of subgrad 39.201758 stepsize= 1.000000
+dualbound = 2689286.193132, lowerbound=1176637.193132, norm of subgrad 1085.385735 dualbound = 2689286.193132, lowerbound=1176637.193132, norm of subgrad 40.381605 stepsize= 1.000000
+dualbound = 2689407.209938, lowerbound=1179489.209938, norm of subgrad 1086.724073 dualbound = 2689407.209938, lowerbound=1179489.209938, norm of subgrad 40.012708 stepsize= 1.000000
+dualbound = 2689571.624547, lowerbound=1186663.624547, norm of subgrad 1090.031937 dualbound = 2689571.624547, lowerbound=1186663.624547, norm of subgrad 40.870706 stepsize= 1.000000
+dualbound = 2689725.190291, lowerbound=1178802.190291, norm of subgrad 1086.412072 dualbound = 2689725.190291, lowerbound=1178802.190291, norm of subgrad 40.528579 stepsize= 1.000000
+dualbound = 2689887.710264, lowerbound=1180490.710264, norm of subgrad 1087.172806 dualbound = 2689887.710264, lowerbound=1180490.710264, norm of subgrad 40.205969 stepsize= 1.000000
+dualbound = 2690101.247276, lowerbound=1180732.247276, norm of subgrad 1087.259053 dualbound = 2690101.247276, lowerbound=1180732.247276, norm of subgrad 40.168856 stepsize= 1.000000
+dualbound = 2690235.918681, lowerbound=1180678.918681, norm of subgrad 1087.279595 dualbound = 2690235.918681, lowerbound=1180678.918681, norm of subgrad 40.406329 stepsize= 1.000000
+dualbound = 2690380.090788, lowerbound=1181600.090788, norm of subgrad 1087.712780 dualbound = 2690380.090788, lowerbound=1181600.090788, norm of subgrad 40.782007 stepsize= 1.000000
+dualbound = 2690574.114960, lowerbound=1178602.114960, norm of subgrad 1086.326891 dualbound = 2690574.114960, lowerbound=1178602.114960, norm of subgrad 41.207089 stepsize= 1.000000
+dualbound = 2690724.525795, lowerbound=1181474.525795, norm of subgrad 1087.600352 dualbound = 2690724.525795, lowerbound=1181474.525795, norm of subgrad 39.375257 stepsize= 1.000000
+dualbound = 2690927.747646, lowerbound=1181702.747646, norm of subgrad 1087.736065 dualbound = 2690927.747646, lowerbound=1181702.747646, norm of subgrad 40.868348 stepsize= 1.000000
+dualbound = 2691059.179117, lowerbound=1179795.179117, norm of subgrad 1086.846438 dualbound = 2691059.179117, lowerbound=1179795.179117, norm of subgrad 39.641285 stepsize= 1.000000
+dualbound = 2691243.450134, lowerbound=1179527.450134, norm of subgrad 1086.702558 dualbound = 2691243.450134, lowerbound=1179527.450134, norm of subgrad 39.740043 stepsize= 1.000000
+dualbound = 2691401.988192, lowerbound=1179638.988192, norm of subgrad 1086.761238 dualbound = 2691401.988192, lowerbound=1179638.988192, norm of subgrad 39.617396 stepsize= 1.000000
+dualbound = 2691551.169767, lowerbound=1176580.169767, norm of subgrad 1085.392634 dualbound = 2691551.169767, lowerbound=1176580.169767, norm of subgrad 40.573163 stepsize= 1.000000
+dualbound = 2691711.120940, lowerbound=1181388.120940, norm of subgrad 1087.570743 dualbound = 2691711.120940, lowerbound=1181388.120940, norm of subgrad 39.773750 stepsize= 1.000000
+dualbound = 2691895.023580, lowerbound=1182566.023580, norm of subgrad 1088.074916 dualbound = 2691895.023580, lowerbound=1182566.023580, norm of subgrad 39.050002 stepsize= 1.000000
+dualbound = 2692076.924065, lowerbound=1179303.924065, norm of subgrad 1086.600168 dualbound = 2692076.924065, lowerbound=1179303.924065, norm of subgrad 39.722796 stepsize= 1.000000
+dualbound = 2692201.176250, lowerbound=1186132.176250, norm of subgrad 1089.791804 dualbound = 2692201.176250, lowerbound=1186132.176250, norm of subgrad 40.475328 stepsize= 1.000000
+dualbound = 2692334.813224, lowerbound=1178050.813224, norm of subgrad 1086.078640 dualbound = 2692334.813224, lowerbound=1178050.813224, norm of subgrad 40.615723 stepsize= 1.000000
+dualbound = 2692544.737817, lowerbound=1181657.737817, norm of subgrad 1087.682278 dualbound = 2692544.737817, lowerbound=1181657.737817, norm of subgrad 40.061510 stepsize= 1.000000
+dualbound = 2692695.300263, lowerbound=1177287.300263, norm of subgrad 1085.695307 dualbound = 2692695.300263, lowerbound=1177287.300263, norm of subgrad 39.969519 stepsize= 1.000000
+dualbound = 2692863.087272, lowerbound=1186172.087272, norm of subgrad 1089.766988 dualbound = 2692863.087272, lowerbound=1186172.087272, norm of subgrad 39.847045 stepsize= 1.000000
+dualbound = 2693025.557863, lowerbound=1180493.557863, norm of subgrad 1087.173656 dualbound = 2693025.557863, lowerbound=1180493.557863, norm of subgrad 40.192917 stepsize= 1.000000
+dualbound = 2693187.642818, lowerbound=1180668.642818, norm of subgrad 1087.229342 dualbound = 2693187.642818, lowerbound=1180668.642818, norm of subgrad 39.510568 stepsize= 1.000000
+dualbound = 2693358.580730, lowerbound=1178220.580730, norm of subgrad 1086.097408 dualbound = 2693358.580730, lowerbound=1178220.580730, norm of subgrad 39.470722 stepsize= 1.000000
+dualbound = 2693533.110559, lowerbound=1179522.110559, norm of subgrad 1086.709764 dualbound = 2693533.110559, lowerbound=1179522.110559, norm of subgrad 39.881447 stepsize= 1.000000
+dualbound = 2693663.935688, lowerbound=1182534.935688, norm of subgrad 1088.096014 dualbound = 2693663.935688, lowerbound=1182534.935688, norm of subgrad 39.355116 stepsize= 1.000000
+dualbound = 2693852.917490, lowerbound=1184790.917490, norm of subgrad 1089.126217 dualbound = 2693852.917490, lowerbound=1184790.917490, norm of subgrad 39.924702 stepsize= 1.000000
+dualbound = 2693984.877608, lowerbound=1178435.877608, norm of subgrad 1086.233344 dualbound = 2693984.877608, lowerbound=1178435.877608, norm of subgrad 39.986999 stepsize= 1.000000
+dualbound = 2694166.475414, lowerbound=1179243.475414, norm of subgrad 1086.581555 dualbound = 2694166.475414, lowerbound=1179243.475414, norm of subgrad 39.969961 stepsize= 1.000000
+dualbound = 2694339.526557, lowerbound=1179444.526557, norm of subgrad 1086.661183 dualbound = 2694339.526557, lowerbound=1179444.526557, norm of subgrad 39.510140 stepsize= 1.000000
+dualbound = 2694507.094545, lowerbound=1185081.094545, norm of subgrad 1089.279622 dualbound = 2694507.094545, lowerbound=1185081.094545, norm of subgrad 40.206566 stepsize= 1.000000
+dualbound = 2694649.165130, lowerbound=1182678.165130, norm of subgrad 1088.186181 dualbound = 2694649.165130, lowerbound=1182678.165130, norm of subgrad 40.163050 stepsize= 1.000000
+dualbound = 2694795.747153, lowerbound=1180545.747153, norm of subgrad 1087.221572 dualbound = 2694795.747153, lowerbound=1180545.747153, norm of subgrad 40.639661 stepsize= 1.000000
+dualbound = 2694973.832129, lowerbound=1177683.832129, norm of subgrad 1085.910140 dualbound = 2694973.832129, lowerbound=1177683.832129, norm of subgrad 41.171410 stepsize= 1.000000
+dualbound = 2695112.612859, lowerbound=1180507.612859, norm of subgrad 1087.195297 dualbound = 2695112.612859, lowerbound=1180507.612859, norm of subgrad 40.308569 stepsize= 1.000000
+dualbound = 2695293.592074, lowerbound=1179414.592074, norm of subgrad 1086.678238 dualbound = 2695293.592074, lowerbound=1179414.592074, norm of subgrad 40.447240 stepsize= 1.000000
+dualbound = 2695483.740392, lowerbound=1177168.740392, norm of subgrad 1085.652679 dualbound = 2695483.740392, lowerbound=1177168.740392, norm of subgrad 40.781715 stepsize= 1.000000
+dualbound = 2695619.015734, lowerbound=1182144.015734, norm of subgrad 1087.921879 dualbound = 2695619.015734, lowerbound=1182144.015734, norm of subgrad 39.563561 stepsize= 1.000000
+dualbound = 2695808.613332, lowerbound=1178938.613332, norm of subgrad 1086.422852 dualbound = 2695808.613332, lowerbound=1178938.613332, norm of subgrad 39.567633 stepsize= 1.000000
+dualbound = 2695963.556170, lowerbound=1179265.556170, norm of subgrad 1086.590335 dualbound = 2695963.556170, lowerbound=1179265.556170, norm of subgrad 39.597258 stepsize= 1.000000
+dualbound = 2696139.396771, lowerbound=1176632.396771, norm of subgrad 1085.369705 dualbound = 2696139.396771, lowerbound=1176632.396771, norm of subgrad 39.633832 stepsize= 1.000000
+dualbound = 2696300.549045, lowerbound=1185789.549045, norm of subgrad 1089.595590 dualbound = 2696300.549045, lowerbound=1185789.549045, norm of subgrad 39.876713 stepsize= 1.000000
+dualbound = 2696439.808359, lowerbound=1183874.808359, norm of subgrad 1088.717047 dualbound = 2696439.808359, lowerbound=1183874.808359, norm of subgrad 39.613878 stepsize= 1.000000
+dualbound = 2696635.023382, lowerbound=1182371.023382, norm of subgrad 1088.032639 dualbound = 2696635.023382, lowerbound=1182371.023382, norm of subgrad 40.487220 stepsize= 1.000000
+dualbound = 2696774.746972, lowerbound=1184592.746972, norm of subgrad 1089.035237 dualbound = 2696774.746972, lowerbound=1184592.746972, norm of subgrad 39.302972 stepsize= 1.000000
+dualbound = 2696940.337508, lowerbound=1178810.337508, norm of subgrad 1086.435611 dualbound = 2696940.337508, lowerbound=1178810.337508, norm of subgrad 41.201827 stepsize= 1.000000
+dualbound = 2697076.836365, lowerbound=1177764.836365, norm of subgrad 1085.914286 dualbound = 2697076.836365, lowerbound=1177764.836365, norm of subgrad 39.768063 stepsize= 1.000000
+dualbound = 2697287.543926, lowerbound=1184311.543926, norm of subgrad 1088.943315 dualbound = 2697287.543926, lowerbound=1184311.543926, norm of subgrad 41.191110 stepsize= 1.000000
+dualbound = 2697432.211548, lowerbound=1180630.211548, norm of subgrad 1087.255357 dualbound = 2697432.211548, lowerbound=1180630.211548, norm of subgrad 40.480460 stepsize= 1.000000
+dualbound = 2697575.148789, lowerbound=1179139.148789, norm of subgrad 1086.561157 dualbound = 2697575.148789, lowerbound=1179139.148789, norm of subgrad 40.236019 stepsize= 1.000000
+dualbound = 2697765.758364, lowerbound=1181362.758364, norm of subgrad 1087.554025 dualbound = 2697765.758364, lowerbound=1181362.758364, norm of subgrad 40.020115 stepsize= 1.000000
+dualbound = 2697933.029291, lowerbound=1180508.029291, norm of subgrad 1087.161455 dualbound = 2697933.029291, lowerbound=1180508.029291, norm of subgrad 39.740042 stepsize= 1.000000
+dualbound = 2698086.141642, lowerbound=1182192.141642, norm of subgrad 1087.957785 dualbound = 2698086.141642, lowerbound=1182192.141642, norm of subgrad 40.163570 stepsize= 1.000000
+dualbound = 2698235.571957, lowerbound=1181136.571957, norm of subgrad 1087.456469 dualbound = 2698235.571957, lowerbound=1181136.571957, norm of subgrad 39.679092 stepsize= 1.000000
+dualbound = 2698438.227153, lowerbound=1177785.227153, norm of subgrad 1085.901573 dualbound = 2698438.227153, lowerbound=1177785.227153, norm of subgrad 39.995690 stepsize= 1.000000
+dualbound = 2698577.440859, lowerbound=1180874.440859, norm of subgrad 1087.347893 dualbound = 2698577.440859, lowerbound=1180874.440859, norm of subgrad 39.877484 stepsize= 1.000000
+dualbound = 2698735.809854, lowerbound=1180662.809854, norm of subgrad 1087.271268 dualbound = 2698735.809854, lowerbound=1180662.809854, norm of subgrad 40.673935 stepsize= 1.000000
+dualbound = 2698904.691160, lowerbound=1181256.691160, norm of subgrad 1087.497444 dualbound = 2698904.691160, lowerbound=1181256.691160, norm of subgrad 39.533294 stepsize= 1.000000
+dualbound = 2699078.586403, lowerbound=1182768.586403, norm of subgrad 1088.211186 dualbound = 2699078.586403, lowerbound=1182768.586403, norm of subgrad 40.111036 stepsize= 1.000000
+dualbound = 2699241.814465, lowerbound=1184060.814465, norm of subgrad 1088.795121 dualbound = 2699241.814465, lowerbound=1184060.814465, norm of subgrad 39.714331 stepsize= 1.000000
+dualbound = 2699389.264202, lowerbound=1181015.264202, norm of subgrad 1087.424602 dualbound = 2699389.264202, lowerbound=1181015.264202, norm of subgrad 40.304463 stepsize= 1.000000
+dualbound = 2699536.579687, lowerbound=1182951.579687, norm of subgrad 1088.277345 dualbound = 2699536.579687, lowerbound=1182951.579687, norm of subgrad 39.285054 stepsize= 1.000000
+dualbound = 2699716.785101, lowerbound=1176076.785101, norm of subgrad 1085.128004 dualbound = 2699716.785101, lowerbound=1176076.785101, norm of subgrad 40.077493 stepsize= 1.000000
+dualbound = 2699901.167666, lowerbound=1181162.167666, norm of subgrad 1087.458582 dualbound = 2699901.167666, lowerbound=1181162.167666, norm of subgrad 39.854517 stepsize= 1.000000
+dualbound = 2700061.231074, lowerbound=1179284.231074, norm of subgrad 1086.606291 dualbound = 2700061.231074, lowerbound=1179284.231074, norm of subgrad 39.863058 stepsize= 1.000000
+dualbound = 2700208.695773, lowerbound=1179665.695773, norm of subgrad 1086.796069 dualbound = 2700208.695773, lowerbound=1179665.695773, norm of subgrad 40.093200 stepsize= 1.000000
+dualbound = 2700375.039704, lowerbound=1182695.039704, norm of subgrad 1088.167285 dualbound = 2700375.039704, lowerbound=1182695.039704, norm of subgrad 39.740960 stepsize= 1.000000
+dualbound = 2700532.404497, lowerbound=1185614.404497, norm of subgrad 1089.531736 dualbound = 2700532.404497, lowerbound=1185614.404497, norm of subgrad 40.278590 stepsize= 1.000000
+dualbound = 2700678.812780, lowerbound=1182557.812780, norm of subgrad 1088.165343 dualbound = 2700678.812780, lowerbound=1182557.812780, norm of subgrad 41.138890 stepsize= 1.000000
+dualbound = 2700823.930635, lowerbound=1182917.930635, norm of subgrad 1088.305991 dualbound = 2700823.930635, lowerbound=1182917.930635, norm of subgrad 40.461313 stepsize= 1.000000
+dualbound = 2701011.067996, lowerbound=1179544.067996, norm of subgrad 1086.725388 dualbound = 2701011.067996, lowerbound=1179544.067996, norm of subgrad 40.188772 stepsize= 1.000000
+dualbound = 2701196.509837, lowerbound=1181811.509837, norm of subgrad 1087.747448 dualbound = 2701196.509837, lowerbound=1181811.509837, norm of subgrad 39.603558 stepsize= 1.000000
+dualbound = 2701352.664302, lowerbound=1180431.664302, norm of subgrad 1087.155308 dualbound = 2701352.664302, lowerbound=1180431.664302, norm of subgrad 40.387553 stepsize= 1.000000
+dualbound = 2701520.745107, lowerbound=1181814.745107, norm of subgrad 1087.767781 dualbound = 2701520.745107, lowerbound=1181814.745107, norm of subgrad 39.900887 stepsize= 1.000000
+dualbound = 2701685.760679, lowerbound=1180649.760679, norm of subgrad 1087.199044 dualbound = 2701685.760679, lowerbound=1180649.760679, norm of subgrad 38.948884 stepsize= 1.000000
+dualbound = 2701862.262174, lowerbound=1181934.262174, norm of subgrad 1087.813524 dualbound = 2701862.262174, lowerbound=1181934.262174, norm of subgrad 39.755522 stepsize= 1.000000
+dualbound = 2701999.865352, lowerbound=1178233.865352, norm of subgrad 1086.152321 dualbound = 2701999.865352, lowerbound=1178233.865352, norm of subgrad 40.380728 stepsize= 1.000000
+dualbound = 2702156.745925, lowerbound=1178224.745925, norm of subgrad 1086.103930 dualbound = 2702156.745925, lowerbound=1178224.745925, norm of subgrad 39.419292 stepsize= 1.000000
+dualbound = 2702369.163329, lowerbound=1179234.163329, norm of subgrad 1086.560704 dualbound = 2702369.163329, lowerbound=1179234.163329, norm of subgrad 39.905105 stepsize= 1.000000
+dualbound = 2702504.642499, lowerbound=1186537.642499, norm of subgrad 1089.972771 dualbound = 2702504.642499, lowerbound=1186537.642499, norm of subgrad 40.478132 stepsize= 1.000000
+dualbound = 2702639.201258, lowerbound=1179294.201258, norm of subgrad 1086.651371 dualbound = 2702639.201258, lowerbound=1179294.201258, norm of subgrad 40.639375 stepsize= 1.000000
+dualbound = 2702820.919514, lowerbound=1183069.919514, norm of subgrad 1088.350550 dualbound = 2702820.919514, lowerbound=1183069.919514, norm of subgrad 40.233298 stepsize= 1.000000
+dualbound = 2702986.831810, lowerbound=1179817.831810, norm of subgrad 1086.848578 dualbound = 2702986.831810, lowerbound=1179817.831810, norm of subgrad 39.848617 stepsize= 1.000000
+dualbound = 2703171.359391, lowerbound=1182067.359391, norm of subgrad 1087.886648 dualbound = 2703171.359391, lowerbound=1182067.359391, norm of subgrad 40.181184 stepsize= 1.000000
+dualbound = 2703317.414727, lowerbound=1181081.414727, norm of subgrad 1087.455937 dualbound = 2703317.414727, lowerbound=1181081.414727, norm of subgrad 40.311975 stepsize= 1.000000
+dualbound = 2703472.180633, lowerbound=1181399.180633, norm of subgrad 1087.573989 dualbound = 2703472.180633, lowerbound=1181399.180633, norm of subgrad 39.658113 stepsize= 1.000000
+dualbound = 2703656.621294, lowerbound=1181706.621294, norm of subgrad 1087.706588 dualbound = 2703656.621294, lowerbound=1181706.621294, norm of subgrad 39.792470 stepsize= 1.000000
+dualbound = 2703807.665287, lowerbound=1183528.665287, norm of subgrad 1088.538316 dualbound = 2703807.665287, lowerbound=1183528.665287, norm of subgrad 39.217904 stepsize= 1.000000
+dualbound = 2703974.822945, lowerbound=1181136.822945, norm of subgrad 1087.454285 dualbound = 2703974.822945, lowerbound=1181136.822945, norm of subgrad 39.839147 stepsize= 1.000000
+dualbound = 2704115.647289, lowerbound=1184876.647289, norm of subgrad 1089.216070 dualbound = 2704115.647289, lowerbound=1184876.647289, norm of subgrad 40.691822 stepsize= 1.000000
+dualbound = 2704278.745763, lowerbound=1179398.745763, norm of subgrad 1086.667726 dualbound = 2704278.745763, lowerbound=1179398.745763, norm of subgrad 40.138491 stepsize= 1.000000
+dualbound = 2704442.146167, lowerbound=1178554.146167, norm of subgrad 1086.276275 dualbound = 2704442.146167, lowerbound=1178554.146167, norm of subgrad 40.067448 stepsize= 1.000000
+dualbound = 2704606.132250, lowerbound=1178679.132250, norm of subgrad 1086.328740 dualbound = 2704606.132250, lowerbound=1178679.132250, norm of subgrad 39.937277 stepsize= 1.000000
+dualbound = 2704809.181921, lowerbound=1180478.181921, norm of subgrad 1087.148188 dualbound = 2704809.181921, lowerbound=1180478.181921, norm of subgrad 40.200120 stepsize= 1.000000
+dualbound = 2704956.459941, lowerbound=1183438.459941, norm of subgrad 1088.508824 dualbound = 2704956.459941, lowerbound=1183438.459941, norm of subgrad 39.500355 stepsize= 1.000000
+dualbound = 2705126.611927, lowerbound=1180966.611927, norm of subgrad 1087.373722 dualbound = 2705126.611927, lowerbound=1180966.611927, norm of subgrad 39.813967 stepsize= 1.000000
+dualbound = 2705277.865092, lowerbound=1179440.865092, norm of subgrad 1086.707810 dualbound = 2705277.865092, lowerbound=1179440.865092, norm of subgrad 40.549392 stepsize= 1.000000
+dualbound = 2705416.258885, lowerbound=1186313.258885, norm of subgrad 1089.851026 dualbound = 2705416.258885, lowerbound=1186313.258885, norm of subgrad 40.004922 stepsize= 1.000000
+dualbound = 2705603.193288, lowerbound=1182895.193288, norm of subgrad 1088.255574 dualbound = 2705603.193288, lowerbound=1182895.193288, norm of subgrad 39.899053 stepsize= 1.000000
+dualbound = 2705780.072445, lowerbound=1181803.072445, norm of subgrad 1087.762415 dualbound = 2705780.072445, lowerbound=1181803.072445, norm of subgrad 40.010988 stepsize= 1.000000
+dualbound = 2705919.639605, lowerbound=1179519.639605, norm of subgrad 1086.724270 dualbound = 2705919.639605, lowerbound=1179519.639605, norm of subgrad 39.869376 stepsize= 1.000000
+dualbound = 2706083.690126, lowerbound=1183619.690126, norm of subgrad 1088.611818 dualbound = 2706083.690126, lowerbound=1183619.690126, norm of subgrad 40.249851 stepsize= 1.000000
+dualbound = 2706259.938759, lowerbound=1180172.938759, norm of subgrad 1087.012391 dualbound = 2706259.938759, lowerbound=1180172.938759, norm of subgrad 39.990607 stepsize= 1.000000
+dualbound = 2706416.734944, lowerbound=1181447.734944, norm of subgrad 1087.579760 dualbound = 2706416.734944, lowerbound=1181447.734944, norm of subgrad 39.227493 stepsize= 1.000000
+dualbound = 2706587.454905, lowerbound=1182696.454905, norm of subgrad 1088.179882 dualbound = 2706587.454905, lowerbound=1182696.454905, norm of subgrad 40.121316 stepsize= 1.000000
+dualbound = 2706744.287350, lowerbound=1181784.287350, norm of subgrad 1087.745966 dualbound = 2706744.287350, lowerbound=1181784.287350, norm of subgrad 39.545321 stepsize= 1.000000
+dualbound = 2706911.551460, lowerbound=1180654.551460, norm of subgrad 1087.221022 dualbound = 2706911.551460, lowerbound=1180654.551460, norm of subgrad 39.525487 stepsize= 1.000000
+dualbound = 2707051.609414, lowerbound=1183798.609414, norm of subgrad 1088.715119 dualbound = 2707051.609414, lowerbound=1183798.609414, norm of subgrad 40.522314 stepsize= 1.000000
+dualbound = 2707219.193561, lowerbound=1177993.193561, norm of subgrad 1086.025871 dualbound = 2707219.193561, lowerbound=1177993.193561, norm of subgrad 40.330933 stepsize= 1.000000
+dualbound = 2707384.062541, lowerbound=1183320.062541, norm of subgrad 1088.465462 dualbound = 2707384.062541, lowerbound=1183320.062541, norm of subgrad 40.023355 stepsize= 1.000000
+dualbound = 2707543.771101, lowerbound=1180770.771101, norm of subgrad 1087.312177 dualbound = 2707543.771101, lowerbound=1180770.771101, norm of subgrad 40.456255 stepsize= 1.000000
+dualbound = 2707695.774378, lowerbound=1182024.774378, norm of subgrad 1087.875808 dualbound = 2707695.774378, lowerbound=1182024.774378, norm of subgrad 40.012539 stepsize= 1.000000
+dualbound = 2707893.429827, lowerbound=1181058.429827, norm of subgrad 1087.415941 dualbound = 2707893.429827, lowerbound=1181058.429827, norm of subgrad 40.157882 stepsize= 1.000000
+dualbound = 2708045.320197, lowerbound=1177197.320197, norm of subgrad 1085.652025 dualbound = 2708045.320197, lowerbound=1177197.320197, norm of subgrad 39.936079 stepsize= 1.000000
+dualbound = 2708217.488943, lowerbound=1188206.488943, norm of subgrad 1090.710085 dualbound = 2708217.488943, lowerbound=1188206.488943, norm of subgrad 40.176719 stepsize= 1.000000
+dualbound = 2708360.995695, lowerbound=1179665.995695, norm of subgrad 1086.780105 dualbound = 2708360.995695, lowerbound=1179665.995695, norm of subgrad 39.604378 stepsize= 1.000000
+dualbound = 2708542.391472, lowerbound=1181761.391472, norm of subgrad 1087.750151 dualbound = 2708542.391472, lowerbound=1181761.391472, norm of subgrad 40.254140 stepsize= 1.000000
+dualbound = 2708699.136480, lowerbound=1180802.136480, norm of subgrad 1087.308667 dualbound = 2708699.136480, lowerbound=1180802.136480, norm of subgrad 39.934259 stepsize= 1.000000
+dualbound = 2708851.746246, lowerbound=1181674.746246, norm of subgrad 1087.719976 dualbound = 2708851.746246, lowerbound=1181674.746246, norm of subgrad 40.157313 stepsize= 1.000000
+dualbound = 2709024.841769, lowerbound=1179997.841769, norm of subgrad 1086.948408 dualbound = 2709024.841769, lowerbound=1179997.841769, norm of subgrad 40.399202 stepsize= 1.000000
+dualbound = 2709181.225262, lowerbound=1182228.225262, norm of subgrad 1087.975287 dualbound = 2709181.225262, lowerbound=1182228.225262, norm of subgrad 40.229137 stepsize= 1.000000
+dualbound = 2709346.939017, lowerbound=1186757.939017, norm of subgrad 1090.059145 dualbound = 2709346.939017, lowerbound=1186757.939017, norm of subgrad 40.456319 stepsize= 1.000000
+dualbound = 2709505.632446, lowerbound=1183331.632446, norm of subgrad 1088.471236 dualbound = 2709505.632446, lowerbound=1183331.632446, norm of subgrad 39.958646 stepsize= 1.000000
+dualbound = 2709663.041146, lowerbound=1178932.041146, norm of subgrad 1086.460327 dualbound = 2709663.041146, lowerbound=1178932.041146, norm of subgrad 40.266720 stepsize= 1.000000
+dualbound = 2709828.173931, lowerbound=1181948.173931, norm of subgrad 1087.853471 dualbound = 2709828.173931, lowerbound=1181948.173931, norm of subgrad 40.523238 stepsize= 1.000000
+dualbound = 2709975.782536, lowerbound=1180443.782536, norm of subgrad 1087.188016 dualbound = 2709975.782536, lowerbound=1180443.782536, norm of subgrad 41.007421 stepsize= 1.000000
+dualbound = 2710169.731915, lowerbound=1182061.731915, norm of subgrad 1087.890956 dualbound = 2710169.731915, lowerbound=1182061.731915, norm of subgrad 40.483940 stepsize= 1.000000
+dualbound = 2710297.689599, lowerbound=1178783.689599, norm of subgrad 1086.427489 dualbound = 2710297.689599, lowerbound=1178783.689599, norm of subgrad 40.852879 stepsize= 1.000000
+dualbound = 2710475.272570, lowerbound=1184178.272570, norm of subgrad 1088.857324 dualbound = 2710475.272570, lowerbound=1184178.272570, norm of subgrad 40.119608 stepsize= 1.000000
+dualbound = 2710665.418058, lowerbound=1185766.418058, norm of subgrad 1089.595530 dualbound = 2710665.418058, lowerbound=1185766.418058, norm of subgrad 40.523394 stepsize= 1.000000
+dualbound = 2710805.412390, lowerbound=1182650.412390, norm of subgrad 1088.183538 dualbound = 2710805.412390, lowerbound=1182650.412390, norm of subgrad 40.410325 stepsize= 1.000000
+dualbound = 2710977.140813, lowerbound=1182392.140813, norm of subgrad 1088.056129 dualbound = 2710977.140813, lowerbound=1182392.140813, norm of subgrad 40.567578 stepsize= 1.000000
+dualbound = 2711129.413794, lowerbound=1180086.413794, norm of subgrad 1086.969371 dualbound = 2711129.413794, lowerbound=1180086.413794, norm of subgrad 39.601426 stepsize= 1.000000
+dualbound = 2711309.883465, lowerbound=1179814.883465, norm of subgrad 1086.868844 dualbound = 2711309.883465, lowerbound=1179814.883465, norm of subgrad 40.613664 stepsize= 1.000000
+dualbound = 2711442.406270, lowerbound=1182269.406270, norm of subgrad 1087.999727 dualbound = 2711442.406270, lowerbound=1182269.406270, norm of subgrad 40.081452 stepsize= 1.000000
+dualbound = 2711642.701673, lowerbound=1183038.701673, norm of subgrad 1088.326560 dualbound = 2711642.701673, lowerbound=1183038.701673, norm of subgrad 40.203177 stepsize= 1.000000
+dualbound = 2711792.680309, lowerbound=1180536.680309, norm of subgrad 1087.179231 dualbound = 2711792.680309, lowerbound=1180536.680309, norm of subgrad 39.648186 stepsize= 1.000000
+dualbound = 2711949.414747, lowerbound=1183914.414747, norm of subgrad 1088.743043 dualbound = 2711949.414747, lowerbound=1183914.414747, norm of subgrad 40.046653 stepsize= 1.000000
+dualbound = 2712125.327963, lowerbound=1179638.327963, norm of subgrad 1086.778877 dualbound = 2712125.327963, lowerbound=1179638.327963, norm of subgrad 40.322614 stepsize= 1.000000
+dualbound = 2712261.355773, lowerbound=1180996.355773, norm of subgrad 1087.395676 dualbound = 2712261.355773, lowerbound=1180996.355773, norm of subgrad 39.610956 stepsize= 1.000000
+dualbound = 2712456.463127, lowerbound=1180826.463127, norm of subgrad 1087.298240 dualbound = 2712456.463127, lowerbound=1180826.463127, norm of subgrad 39.825963 stepsize= 1.000000
+dualbound = 2712591.110965, lowerbound=1183777.110965, norm of subgrad 1088.691467 dualbound = 2712591.110965, lowerbound=1183777.110965, norm of subgrad 40.083012 stepsize= 1.000000
+dualbound = 2712755.274655, lowerbound=1182231.274655, norm of subgrad 1087.992314 dualbound = 2712755.274655, lowerbound=1182231.274655, norm of subgrad 40.745106 stepsize= 1.000000
+dualbound = 2712908.548422, lowerbound=1182472.548422, norm of subgrad 1088.076536 dualbound = 2712908.548422, lowerbound=1182472.548422, norm of subgrad 39.890773 stepsize= 1.000000
+dualbound = 2713096.931621, lowerbound=1182484.931621, norm of subgrad 1088.041328 dualbound = 2713096.931621, lowerbound=1182484.931621, norm of subgrad 39.209478 stepsize= 1.000000
+dualbound = 2713251.633535, lowerbound=1184146.633535, norm of subgrad 1088.838204 dualbound = 2713251.633535, lowerbound=1184146.633535, norm of subgrad 39.707706 stepsize= 1.000000
+dualbound = 2713418.892695, lowerbound=1180429.892695, norm of subgrad 1087.129658 dualbound = 2713418.892695, lowerbound=1180429.892695, norm of subgrad 39.852969 stepsize= 1.000000
+dualbound = 2713566.472114, lowerbound=1179638.472114, norm of subgrad 1086.772502 dualbound = 2713566.472114, lowerbound=1179638.472114, norm of subgrad 39.794213 stepsize= 1.000000
+dualbound = 2713733.378218, lowerbound=1179553.378218, norm of subgrad 1086.782121 dualbound = 2713733.378218, lowerbound=1179553.378218, norm of subgrad 41.338918 stepsize= 1.000000
+dualbound = 2713850.896008, lowerbound=1184923.896008, norm of subgrad 1089.210676 dualbound = 2713850.896008, lowerbound=1184923.896008, norm of subgrad 39.667591 stepsize= 1.000000
+dualbound = 2714063.786930, lowerbound=1183706.786930, norm of subgrad 1088.641257 dualbound = 2714063.786930, lowerbound=1183706.786930, norm of subgrad 40.569581 stepsize= 1.000000
+dualbound = 2714227.885311, lowerbound=1186945.885311, norm of subgrad 1090.145809 dualbound = 2714227.885311, lowerbound=1186945.885311, norm of subgrad 40.448713 stepsize= 1.000000
+dualbound = 2714361.274060, lowerbound=1180697.274060, norm of subgrad 1087.272401 dualbound = 2714361.274060, lowerbound=1180697.274060, norm of subgrad 39.967346 stepsize= 1.000000
+dualbound = 2714530.112734, lowerbound=1184418.112734, norm of subgrad 1088.976176 dualbound = 2714530.112734, lowerbound=1184418.112734, norm of subgrad 40.247219 stepsize= 1.000000
+dualbound = 2714701.395720, lowerbound=1180931.395720, norm of subgrad 1087.375922 dualbound = 2714701.395720, lowerbound=1180931.395720, norm of subgrad 40.327199 stepsize= 1.000000
+dualbound = 2714857.752413, lowerbound=1176229.752413, norm of subgrad 1085.223365 dualbound = 2714857.752413, lowerbound=1176229.752413, norm of subgrad 40.451906 stepsize= 1.000000
+dualbound = 2715017.397358, lowerbound=1186053.397358, norm of subgrad 1089.738224 dualbound = 2715017.397358, lowerbound=1186053.397358, norm of subgrad 40.443108 stepsize= 1.000000
+dualbound = 2715175.221436, lowerbound=1182221.221436, norm of subgrad 1087.984017 dualbound = 2715175.221436, lowerbound=1182221.221436, norm of subgrad 40.568757 stepsize= 1.000000
+dualbound = 2715343.906092, lowerbound=1182050.906092, norm of subgrad 1087.885521 dualbound = 2715343.906092, lowerbound=1182050.906092, norm of subgrad 40.158245 stepsize= 1.000000
+dualbound = 2715527.039331, lowerbound=1181559.039331, norm of subgrad 1087.651617 dualbound = 2715527.039331, lowerbound=1181559.039331, norm of subgrad 40.126466 stepsize= 1.000000
+dualbound = 2715702.348534, lowerbound=1185742.348534, norm of subgrad 1089.580354 dualbound = 2715702.348534, lowerbound=1185742.348534, norm of subgrad 40.228214 stepsize= 1.000000
+dualbound = 2715814.160426, lowerbound=1181797.160426, norm of subgrad 1087.743610 dualbound = 2715814.160426, lowerbound=1181797.160426, norm of subgrad 38.740314 stepsize= 1.000000
+dualbound = 2716020.919896, lowerbound=1183445.919896, norm of subgrad 1088.520519 dualbound = 2716020.919896, lowerbound=1183445.919896, norm of subgrad 40.469241 stepsize= 1.000000
+dualbound = 2716139.823117, lowerbound=1181660.823117, norm of subgrad 1087.717253 dualbound = 2716139.823117, lowerbound=1181660.823117, norm of subgrad 39.835954 stepsize= 1.000000
+dualbound = 2716290.672738, lowerbound=1177381.672738, norm of subgrad 1085.752123 dualbound = 2716290.672738, lowerbound=1177381.672738, norm of subgrad 40.334224 stepsize= 1.000000
+dualbound = 2716492.877189, lowerbound=1187245.877189, norm of subgrad 1090.268718 dualbound = 2716492.877189, lowerbound=1187245.877189, norm of subgrad 40.524122 stepsize= 1.000000
+dualbound = 2716643.357906, lowerbound=1181996.357906, norm of subgrad 1087.865505 dualbound = 2716643.357906, lowerbound=1181996.357906, norm of subgrad 40.068450 stepsize= 1.000000
+dualbound = 2716779.583717, lowerbound=1181092.583717, norm of subgrad 1087.442221 dualbound = 2716779.583717, lowerbound=1181092.583717, norm of subgrad 39.676515 stepsize= 1.000000
+dualbound = 2716957.298695, lowerbound=1178898.298695, norm of subgrad 1086.443417 dualbound = 2716957.298695, lowerbound=1178898.298695, norm of subgrad 40.481045 stepsize= 1.000000
+dualbound = 2717114.889553, lowerbound=1184190.889553, norm of subgrad 1088.854393 dualbound = 2717114.889553, lowerbound=1184190.889553, norm of subgrad 39.630681 stepsize= 1.000000
+dualbound = 2717274.271946, lowerbound=1184017.271946, norm of subgrad 1088.802678 dualbound = 2717274.271946, lowerbound=1184017.271946, norm of subgrad 40.415126 stepsize= 1.000000
+dualbound = 2717430.937588, lowerbound=1181855.937588, norm of subgrad 1087.795448 dualbound = 2717430.937588, lowerbound=1181855.937588, norm of subgrad 39.995820 stepsize= 1.000000
+dualbound = 2717578.767685, lowerbound=1183669.767685, norm of subgrad 1088.649975 dualbound = 2717578.767685, lowerbound=1183669.767685, norm of subgrad 40.457757 stepsize= 1.000000
+dualbound = 2717758.138232, lowerbound=1186902.138232, norm of subgrad 1090.110150 dualbound = 2717758.138232, lowerbound=1186902.138232, norm of subgrad 40.216546 stepsize= 1.000000
+dualbound = 2717930.902354, lowerbound=1184979.902354, norm of subgrad 1089.239598 dualbound = 2717930.902354, lowerbound=1184979.902354, norm of subgrad 40.444581 stepsize= 1.000000
+dualbound = 2718076.545888, lowerbound=1181115.545888, norm of subgrad 1087.432548 dualbound = 2718076.545888, lowerbound=1181115.545888, norm of subgrad 39.238292 stepsize= 1.000000
+dualbound = 2718255.224752, lowerbound=1182037.224752, norm of subgrad 1087.870960 dualbound = 2718255.224752, lowerbound=1182037.224752, norm of subgrad 40.058443 stepsize= 1.000000
+dualbound = 2718391.078608, lowerbound=1183888.078608, norm of subgrad 1088.718090 dualbound = 2718391.078608, lowerbound=1183888.078608, norm of subgrad 39.431635 stepsize= 1.000000
+dualbound = 2718574.821785, lowerbound=1182124.821785, norm of subgrad 1087.941093 dualbound = 2718574.821785, lowerbound=1182124.821785, norm of subgrad 40.923626 stepsize= 1.000000
+dualbound = 2718716.202025, lowerbound=1183596.202025, norm of subgrad 1088.615727 dualbound = 2718716.202025, lowerbound=1183596.202025, norm of subgrad 40.365582 stepsize= 1.000000
+dualbound = 2718888.102931, lowerbound=1183500.102931, norm of subgrad 1088.575263 dualbound = 2718888.102931, lowerbound=1183500.102931, norm of subgrad 40.839943 stepsize= 1.000000
+dualbound = 2719045.903676, lowerbound=1184023.903676, norm of subgrad 1088.792406 dualbound = 2719045.903676, lowerbound=1184023.903676, norm of subgrad 40.034994 stepsize= 1.000000
+dualbound = 2719219.543582, lowerbound=1178567.543582, norm of subgrad 1086.281982 dualbound = 2719219.543582, lowerbound=1178567.543582, norm of subgrad 40.182582 stepsize= 1.000000
+dualbound = 2719375.073447, lowerbound=1183360.073447, norm of subgrad 1088.516915 dualbound = 2719375.073447, lowerbound=1183360.073447, norm of subgrad 40.798650 stepsize= 1.000000
+dualbound = 2719531.699656, lowerbound=1182172.699656, norm of subgrad 1087.948390 dualbound = 2719531.699656, lowerbound=1182172.699656, norm of subgrad 40.194853 stepsize= 1.000000
+dualbound = 2719709.203349, lowerbound=1180677.203349, norm of subgrad 1087.232359 dualbound = 2719709.203349, lowerbound=1180677.203349, norm of subgrad 39.680016 stepsize= 1.000000
+dualbound = 2719890.464543, lowerbound=1179803.464543, norm of subgrad 1086.844269 dualbound = 2719890.464543, lowerbound=1179803.464543, norm of subgrad 40.103132 stepsize= 1.000000
+dualbound = 2720019.554867, lowerbound=1180475.554867, norm of subgrad 1087.168595 dualbound = 2720019.554867, lowerbound=1180475.554867, norm of subgrad 39.863396 stepsize= 1.000000
+dualbound = 2720199.683955, lowerbound=1183411.683955, norm of subgrad 1088.520870 dualbound = 2720199.683955, lowerbound=1183411.683955, norm of subgrad 40.572516 stepsize= 1.000000
+dualbound = 2720338.375939, lowerbound=1182335.375939, norm of subgrad 1087.993739 dualbound = 2720338.375939, lowerbound=1182335.375939, norm of subgrad 39.162380 stepsize= 1.000000
+dualbound = 2720515.901719, lowerbound=1184158.901719, norm of subgrad 1088.850725 dualbound = 2720515.901719, lowerbound=1184158.901719, norm of subgrad 40.181162 stepsize= 1.000000
+dualbound = 2720671.736979, lowerbound=1185562.736979, norm of subgrad 1089.493799 dualbound = 2720671.736979, lowerbound=1185562.736979, norm of subgrad 39.872738 stepsize= 1.000000
+dualbound = 2720832.798000, lowerbound=1183918.798000, norm of subgrad 1088.782255 dualbound = 2720832.798000, lowerbound=1183918.798000, norm of subgrad 41.098188 stepsize= 1.000000
+dualbound = 2720976.579471, lowerbound=1183079.579471, norm of subgrad 1088.378877 dualbound = 2720976.579471, lowerbound=1183079.579471, norm of subgrad 40.407691 stepsize= 1.000000
+dualbound = 2721165.209205, lowerbound=1184759.209205, norm of subgrad 1089.112120 dualbound = 2721165.209205, lowerbound=1184759.209205, norm of subgrad 39.932815 stepsize= 1.000000
+dualbound = 2721327.624521, lowerbound=1179501.624521, norm of subgrad 1086.691136 dualbound = 2721327.624521, lowerbound=1179501.624521, norm of subgrad 39.476769 stepsize= 1.000000
+dualbound = 2721484.140226, lowerbound=1183064.140226, norm of subgrad 1088.360758 dualbound = 2721484.140226, lowerbound=1183064.140226, norm of subgrad 40.268048 stepsize= 1.000000
+dualbound = 2721624.350762, lowerbound=1179702.350762, norm of subgrad 1086.812013 dualbound = 2721624.350762, lowerbound=1179702.350762, norm of subgrad 39.977625 stepsize= 1.000000
+dualbound = 2721800.213939, lowerbound=1184039.213939, norm of subgrad 1088.789793 dualbound = 2721800.213939, lowerbound=1184039.213939, norm of subgrad 39.998290 stepsize= 1.000000
+dualbound = 2721990.831648, lowerbound=1178198.831648, norm of subgrad 1086.092000 dualbound = 2721990.831648, lowerbound=1178198.831648, norm of subgrad 39.844921 stepsize= 1.000000
+dualbound = 2722137.242991, lowerbound=1188895.242991, norm of subgrad 1091.024859 dualbound = 2722137.242991, lowerbound=1188895.242991, norm of subgrad 39.829780 stepsize= 1.000000
+dualbound = 2722294.177516, lowerbound=1185998.177516, norm of subgrad 1089.671133 dualbound = 2722294.177516, lowerbound=1185998.177516, norm of subgrad 39.267474 stepsize= 1.000000
+dualbound = 2722459.838073, lowerbound=1183736.838073, norm of subgrad 1088.686749 dualbound = 2722459.838073, lowerbound=1183736.838073, norm of subgrad 40.837000 stepsize= 1.000000
+dualbound = 2722594.105930, lowerbound=1178259.105930, norm of subgrad 1086.146908 dualbound = 2722594.105930, lowerbound=1178259.105930, norm of subgrad 39.878163 stepsize= 1.000000
+dualbound = 2722773.266647, lowerbound=1179353.266647, norm of subgrad 1086.644959 dualbound = 2722773.266647, lowerbound=1179353.266647, norm of subgrad 40.288469 stepsize= 1.000000
+dualbound = 2722916.082358, lowerbound=1183587.082358, norm of subgrad 1088.602812 dualbound = 2722916.082358, lowerbound=1183587.082358, norm of subgrad 40.147425 stepsize= 1.000000
+dualbound = 2723081.908210, lowerbound=1187802.908210, norm of subgrad 1090.529646 dualbound = 2723081.908210, lowerbound=1187802.908210, norm of subgrad 40.222206 stepsize= 1.000000
+dualbound = 2723253.868644, lowerbound=1181282.868644, norm of subgrad 1087.521434 dualbound = 2723253.868644, lowerbound=1181282.868644, norm of subgrad 39.899379 stepsize= 1.000000
+dualbound = 2723438.931756, lowerbound=1181369.931756, norm of subgrad 1087.573414 dualbound = 2723438.931756, lowerbound=1181369.931756, norm of subgrad 40.386422 stepsize= 1.000000
+dualbound = 2723553.943685, lowerbound=1182192.943685, norm of subgrad 1087.987106 dualbound = 2723553.943685, lowerbound=1182192.943685, norm of subgrad 40.472360 stepsize= 1.000000
+dualbound = 2723735.441522, lowerbound=1182644.441522, norm of subgrad 1088.141738 dualbound = 2723735.441522, lowerbound=1182644.441522, norm of subgrad 39.868507 stepsize= 1.000000
+dualbound = 2723900.753801, lowerbound=1185374.753801, norm of subgrad 1089.392837 dualbound = 2723900.753801, lowerbound=1185374.753801, norm of subgrad 39.589295 stepsize= 1.000000
+dualbound = 2724058.006431, lowerbound=1186914.006431, norm of subgrad 1090.151369 dualbound = 2724058.006431, lowerbound=1186914.006431, norm of subgrad 40.905411 stepsize= 1.000000
+dualbound = 2724196.050772, lowerbound=1183258.050772, norm of subgrad 1088.451217 dualbound = 2724196.050772, lowerbound=1183258.050772, norm of subgrad 40.075483 stepsize= 1.000000
+dualbound = 2724378.341357, lowerbound=1183078.341357, norm of subgrad 1088.373255 dualbound = 2724378.341357, lowerbound=1183078.341357, norm of subgrad 40.746663 stepsize= 1.000000
+dualbound = 2724526.868218, lowerbound=1180102.868218, norm of subgrad 1086.981540 dualbound = 2724526.868218, lowerbound=1180102.868218, norm of subgrad 39.680308 stepsize= 1.000000
+dualbound = 2724722.146031, lowerbound=1188484.146031, norm of subgrad 1090.836443 dualbound = 2724722.146031, lowerbound=1188484.146031, norm of subgrad 40.438568 stepsize= 1.000000
+dualbound = 2724836.167077, lowerbound=1181372.167077, norm of subgrad 1087.589154 dualbound = 2724836.167077, lowerbound=1181372.167077, norm of subgrad 39.900138 stepsize= 1.000000
+dualbound = 2725025.296405, lowerbound=1183704.296405, norm of subgrad 1088.652055 dualbound = 2725025.296405, lowerbound=1183704.296405, norm of subgrad 40.597159 stepsize= 1.000000
+dualbound = 2725206.047284, lowerbound=1177535.047284, norm of subgrad 1085.792359 dualbound = 2725206.047284, lowerbound=1177535.047284, norm of subgrad 39.884218 stepsize= 1.000000
+dualbound = 2725329.117111, lowerbound=1184113.117111, norm of subgrad 1088.841640 dualbound = 2725329.117111, lowerbound=1184113.117111, norm of subgrad 39.825492 stepsize= 1.000000
+dualbound = 2725531.962409, lowerbound=1180861.962409, norm of subgrad 1087.321002 dualbound = 2725531.962409, lowerbound=1180861.962409, norm of subgrad 40.097946 stepsize= 1.000000
+dualbound = 2725672.896298, lowerbound=1185575.896298, norm of subgrad 1089.497084 dualbound = 2725672.896298, lowerbound=1185575.896298, norm of subgrad 39.609770 stepsize= 1.000000
+dualbound = 2725834.154610, lowerbound=1182134.154610, norm of subgrad 1087.956412 dualbound = 2725834.154610, lowerbound=1182134.154610, norm of subgrad 40.942134 stepsize= 1.000000
+dualbound = 2725992.828953, lowerbound=1189924.828953, norm of subgrad 1091.509885 dualbound = 2725992.828953, lowerbound=1189924.828953, norm of subgrad 40.344446 stepsize= 1.000000
+dualbound = 2726141.213353, lowerbound=1181772.213353, norm of subgrad 1087.767536 dualbound = 2726141.213353, lowerbound=1181772.213353, norm of subgrad 40.179403 stepsize= 1.000000
+dualbound = 2726290.383455, lowerbound=1183598.383455, norm of subgrad 1088.608003 dualbound = 2726290.383455, lowerbound=1183598.383455, norm of subgrad 40.226485 stepsize= 1.000000
+dualbound = 2726470.866337, lowerbound=1180881.866337, norm of subgrad 1087.360504 dualbound = 2726470.866337, lowerbound=1180881.866337, norm of subgrad 40.638441 stepsize= 1.000000
+dualbound = 2726628.893636, lowerbound=1185349.893636, norm of subgrad 1089.388771 dualbound = 2726628.893636, lowerbound=1185349.893636, norm of subgrad 39.699210 stepsize= 1.000000
+dualbound = 2726797.995169, lowerbound=1183168.995169, norm of subgrad 1088.404794 dualbound = 2726797.995169, lowerbound=1183168.995169, norm of subgrad 40.312548 stepsize= 1.000000
+dualbound = 2726932.923184, lowerbound=1184756.923184, norm of subgrad 1089.123466 dualbound = 2726932.923184, lowerbound=1184756.923184, norm of subgrad 39.597071 stepsize= 1.000000
+dualbound = 2727125.485496, lowerbound=1181386.485496, norm of subgrad 1087.562635 dualbound = 2727125.485496, lowerbound=1181386.485496, norm of subgrad 39.982025 stepsize= 1.000000
+dualbound = 2727275.641770, lowerbound=1179749.641770, norm of subgrad 1086.819507 dualbound = 2727275.641770, lowerbound=1179749.641770, norm of subgrad 39.713427 stepsize= 1.000000
+dualbound = 2727443.274791, lowerbound=1184519.274791, norm of subgrad 1089.033643 dualbound = 2727443.274791, lowerbound=1184519.274791, norm of subgrad 40.529409 stepsize= 1.000000
+dualbound = 2727575.319732, lowerbound=1181789.319732, norm of subgrad 1087.783673 dualbound = 2727575.319732, lowerbound=1181789.319732, norm of subgrad 40.200061 stepsize= 1.000000
+dualbound = 2727742.795573, lowerbound=1185794.795573, norm of subgrad 1089.613140 dualbound = 2727742.795573, lowerbound=1185794.795573, norm of subgrad 40.366767 stepsize= 1.000000
+dualbound = 2727894.877729, lowerbound=1184071.877729, norm of subgrad 1088.826836 dualbound = 2727894.877729, lowerbound=1184071.877729, norm of subgrad 40.299903 stepsize= 1.000000
+dualbound = 2728066.296619, lowerbound=1179561.296619, norm of subgrad 1086.730554 dualbound = 2728066.296619, lowerbound=1179561.296619, norm of subgrad 39.917651 stepsize= 1.000000
+dualbound = 2728243.214886, lowerbound=1183478.214886, norm of subgrad 1088.564750 dualbound = 2728243.214886, lowerbound=1183478.214886, norm of subgrad 40.889097 stepsize= 1.000000
+dualbound = 2728377.485001, lowerbound=1181540.485001, norm of subgrad 1087.659177 dualbound = 2728377.485001, lowerbound=1181540.485001, norm of subgrad 39.953349 stepsize= 1.000000
+dualbound = 2728559.975157, lowerbound=1185374.975157, norm of subgrad 1089.397987 dualbound = 2728559.975157, lowerbound=1185374.975157, norm of subgrad 39.943587 stepsize= 1.000000
+dualbound = 2728736.626266, lowerbound=1182536.626266, norm of subgrad 1088.104143 dualbound = 2728736.626266, lowerbound=1182536.626266, norm of subgrad 40.132918 stepsize= 1.000000
+dualbound = 2728875.094363, lowerbound=1180388.094363, norm of subgrad 1087.114573 dualbound = 2728875.094363, lowerbound=1180388.094363, norm of subgrad 39.603890 stepsize= 1.000000
+dualbound = 2729049.926049, lowerbound=1188032.926049, norm of subgrad 1090.627767 dualbound = 2729049.926049, lowerbound=1188032.926049, norm of subgrad 40.135168 stepsize= 1.000000
+dualbound = 2729217.735218, lowerbound=1180899.735218, norm of subgrad 1087.358145 dualbound = 2729217.735218, lowerbound=1180899.735218, norm of subgrad 40.197129 stepsize= 1.000000
+dualbound = 2729355.943105, lowerbound=1189740.943105, norm of subgrad 1091.434809 dualbound = 2729355.943105, lowerbound=1189740.943105, norm of subgrad 40.338665 stepsize= 1.000000
+dualbound = 2729521.753452, lowerbound=1178818.753452, norm of subgrad 1086.433041 dualbound = 2729521.753452, lowerbound=1178818.753452, norm of subgrad 41.034258 stepsize= 1.000000
+dualbound = 2729651.416780, lowerbound=1181676.416780, norm of subgrad 1087.729478 dualbound = 2729651.416780, lowerbound=1181676.416780, norm of subgrad 40.108145 stepsize= 1.000000
+dualbound = 2729839.158295, lowerbound=1186833.158295, norm of subgrad 1090.086308 dualbound = 2729839.158295, lowerbound=1186833.158295, norm of subgrad 40.530748 stepsize= 1.000000
+dualbound = 2730012.795983, lowerbound=1185583.795983, norm of subgrad 1089.519525 dualbound = 2730012.795983, lowerbound=1185583.795983, norm of subgrad 40.529467 stepsize= 1.000000
+dualbound = 2730148.882544, lowerbound=1182483.882544, norm of subgrad 1088.078528 dualbound = 2730148.882544, lowerbound=1182483.882544, norm of subgrad 39.586444 stepsize= 1.000000
+dualbound = 2730329.016972, lowerbound=1183605.016972, norm of subgrad 1088.570630 dualbound = 2730329.016972, lowerbound=1183605.016972, norm of subgrad 39.511194 stepsize= 1.000000
+dualbound = 2730459.069585, lowerbound=1185119.069585, norm of subgrad 1089.324134 dualbound = 2730459.069585, lowerbound=1185119.069585, norm of subgrad 40.472863 stepsize= 1.000000
+dualbound = 2730628.478440, lowerbound=1183471.478440, norm of subgrad 1088.546957 dualbound = 2730628.478440, lowerbound=1183471.478440, norm of subgrad 40.403080 stepsize= 1.000000
+dualbound = 2730803.707263, lowerbound=1184939.707263, norm of subgrad 1089.214720 dualbound = 2730803.707263, lowerbound=1184939.707263, norm of subgrad 40.301722 stepsize= 1.000000
+dualbound = 2730973.187876, lowerbound=1183687.187876, norm of subgrad 1088.617099 dualbound = 2730973.187876, lowerbound=1183687.187876, norm of subgrad 39.616671 stepsize= 1.000000
+dualbound = 2731105.378440, lowerbound=1179740.378440, norm of subgrad 1086.844229 dualbound = 2731105.378440, lowerbound=1179740.378440, norm of subgrad 40.276427 stepsize= 1.000000
+dualbound = 2731282.103360, lowerbound=1184988.103360, norm of subgrad 1089.236936 dualbound = 2731282.103360, lowerbound=1184988.103360, norm of subgrad 40.320279 stepsize= 1.000000
+dualbound = 2731443.273314, lowerbound=1182701.273314, norm of subgrad 1088.178420 dualbound = 2731443.273314, lowerbound=1182701.273314, norm of subgrad 39.902004 stepsize= 1.000000
+dualbound = 2731613.675803, lowerbound=1185097.675803, norm of subgrad 1089.256478 dualbound = 2731613.675803, lowerbound=1185097.675803, norm of subgrad 39.400539 stepsize= 1.000000
+dualbound = 2731768.157021, lowerbound=1182404.157021, norm of subgrad 1088.048784 dualbound = 2731768.157021, lowerbound=1182404.157021, norm of subgrad 40.006015 stepsize= 1.000000
+dualbound = 2731930.490903, lowerbound=1185095.490903, norm of subgrad 1089.262361 dualbound = 2731930.490903, lowerbound=1185095.490903, norm of subgrad 39.488402 stepsize= 1.000000
+dualbound = 2732113.172305, lowerbound=1183609.172305, norm of subgrad 1088.567027 dualbound = 2732113.172305, lowerbound=1183609.172305, norm of subgrad 39.391387 stepsize= 1.000000
+dualbound = 2732266.845082, lowerbound=1182663.845082, norm of subgrad 1088.148356 dualbound = 2732266.845082, lowerbound=1182663.845082, norm of subgrad 39.454693 stepsize= 1.000000
+dualbound = 2732408.827399, lowerbound=1179806.827399, norm of subgrad 1086.853637 dualbound = 2732408.827399, lowerbound=1179806.827399, norm of subgrad 39.824393 stepsize= 1.000000
+dualbound = 2732560.943475, lowerbound=1184045.943475, norm of subgrad 1088.820437 dualbound = 2732560.943475, lowerbound=1184045.943475, norm of subgrad 40.448932 stepsize= 1.000000
+dualbound = 2732713.750375, lowerbound=1186016.750375, norm of subgrad 1089.694338 dualbound = 2732713.750375, lowerbound=1186016.750375, norm of subgrad 39.620789 stepsize= 1.000000
+dualbound = 2732888.037510, lowerbound=1183391.037510, norm of subgrad 1088.493931 dualbound = 2732888.037510, lowerbound=1183391.037510, norm of subgrad 40.028579 stepsize= 1.000000
+dualbound = 2733031.124120, lowerbound=1183994.124120, norm of subgrad 1088.817764 dualbound = 2733031.124120, lowerbound=1183994.124120, norm of subgrad 40.903381 stepsize= 1.000000
+dualbound = 2733186.161754, lowerbound=1185375.161754, norm of subgrad 1089.446723 dualbound = 2733186.161754, lowerbound=1185375.161754, norm of subgrad 40.915005 stepsize= 1.000000
+dualbound = 2733351.509107, lowerbound=1184407.509107, norm of subgrad 1089.008498 dualbound = 2733351.509107, lowerbound=1184407.509107, norm of subgrad 41.198876 stepsize= 1.000000
+dualbound = 2733492.918272, lowerbound=1182611.918272, norm of subgrad 1088.166770 dualbound = 2733492.918272, lowerbound=1182611.918272, norm of subgrad 40.452554 stepsize= 1.000000
+dualbound = 2733701.145767, lowerbound=1185285.145767, norm of subgrad 1089.392099 dualbound = 2733701.145767, lowerbound=1185285.145767, norm of subgrad 41.209556 stepsize= 1.000000
+dualbound = 2733829.963032, lowerbound=1180002.963032, norm of subgrad 1086.936964 dualbound = 2733829.963032, lowerbound=1180002.963032, norm of subgrad 39.469194 stepsize= 1.000000
+dualbound = 2734033.814312, lowerbound=1189612.814312, norm of subgrad 1091.363741 dualbound = 2734033.814312, lowerbound=1189612.814312, norm of subgrad 40.814841 stepsize= 1.000000
+dualbound = 2734153.989751, lowerbound=1179727.989751, norm of subgrad 1086.846351 dualbound = 2734153.989751, lowerbound=1179727.989751, norm of subgrad 40.338263 stepsize= 1.000000
+dualbound = 2734314.981075, lowerbound=1182052.981075, norm of subgrad 1087.912212 dualbound = 2734314.981075, lowerbound=1182052.981075, norm of subgrad 40.755261 stepsize= 1.000000
+dualbound = 2734457.775469, lowerbound=1184437.775469, norm of subgrad 1088.988418 dualbound = 2734457.775469, lowerbound=1184437.775469, norm of subgrad 40.009929 stepsize= 1.000000
+dualbound = 2734656.057892, lowerbound=1187258.057892, norm of subgrad 1090.263756 dualbound = 2734656.057892, lowerbound=1187258.057892, norm of subgrad 40.190576 stepsize= 1.000000
+dualbound = 2734835.719016, lowerbound=1182860.719016, norm of subgrad 1088.247085 dualbound = 2734835.719016, lowerbound=1182860.719016, norm of subgrad 40.008263 stepsize= 1.000000
+dualbound = 2734992.501281, lowerbound=1185394.501281, norm of subgrad 1089.425308 dualbound = 2734992.501281, lowerbound=1185394.501281, norm of subgrad 40.122092 stepsize= 1.000000
+dualbound = 2735124.235006, lowerbound=1182812.235006, norm of subgrad 1088.233079 dualbound = 2735124.235006, lowerbound=1182812.235006, norm of subgrad 39.632483 stepsize= 1.000000
+dualbound = 2735292.516685, lowerbound=1184413.516685, norm of subgrad 1088.970852 dualbound = 2735292.516685, lowerbound=1184413.516685, norm of subgrad 40.153228 stepsize= 1.000000
+dualbound = 2735485.970100, lowerbound=1184315.970100, norm of subgrad 1088.940297 dualbound = 2735485.970100, lowerbound=1184315.970100, norm of subgrad 40.846706 stepsize= 1.000000
+dualbound = 2735595.019798, lowerbound=1185563.019798, norm of subgrad 1089.517333 dualbound = 2735595.019798, lowerbound=1185563.019798, norm of subgrad 39.925552 stepsize= 1.000000
+dualbound = 2735761.542780, lowerbound=1183429.542780, norm of subgrad 1088.528614 dualbound = 2735761.542780, lowerbound=1183429.542780, norm of subgrad 40.392115 stepsize= 1.000000
+dualbound = 2735942.297913, lowerbound=1185039.297913, norm of subgrad 1089.261354 dualbound = 2735942.297913, lowerbound=1185039.297913, norm of subgrad 40.394989 stepsize= 1.000000
+dualbound = 2736080.667570, lowerbound=1185083.667570, norm of subgrad 1089.282180 dualbound = 2736080.667570, lowerbound=1185083.667570, norm of subgrad 39.879439 stepsize= 1.000000
+dualbound = 2736270.172118, lowerbound=1185097.172118, norm of subgrad 1089.268641 dualbound = 2736270.172118, lowerbound=1185097.172118, norm of subgrad 39.981302 stepsize= 1.000000
+dualbound = 2736410.433481, lowerbound=1185478.433481, norm of subgrad 1089.489988 dualbound = 2736410.433481, lowerbound=1185478.433481, norm of subgrad 40.623409 stepsize= 1.000000
+dualbound = 2736557.130989, lowerbound=1186499.130989, norm of subgrad 1089.935838 dualbound = 2736557.130989, lowerbound=1186499.130989, norm of subgrad 40.096103 stepsize= 1.000000
+dualbound = 2736728.659518, lowerbound=1183542.659518, norm of subgrad 1088.552552 dualbound = 2736728.659518, lowerbound=1183542.659518, norm of subgrad 39.692928 stepsize= 1.000000
+dualbound = 2736900.162194, lowerbound=1179153.162194, norm of subgrad 1086.550120 dualbound = 2736900.162194, lowerbound=1179153.162194, norm of subgrad 40.118608 stepsize= 1.000000
+dualbound = 2737036.160128, lowerbound=1183310.160128, norm of subgrad 1088.482503 dualbound = 2737036.160128, lowerbound=1183310.160128, norm of subgrad 40.249198 stepsize= 1.000000
+dualbound = 2737211.788010, lowerbound=1182321.788010, norm of subgrad 1087.998983 dualbound = 2737211.788010, lowerbound=1182321.788010, norm of subgrad 39.945311 stepsize= 1.000000
+dualbound = 2737358.541889, lowerbound=1183983.541889, norm of subgrad 1088.780759 dualbound = 2737358.541889, lowerbound=1183983.541889, norm of subgrad 40.084335 stepsize= 1.000000
+dualbound = 2737502.967899, lowerbound=1191598.967899, norm of subgrad 1092.269183 dualbound = 2737502.967899, lowerbound=1191598.967899, norm of subgrad 39.967812 stepsize= 1.000000
+dualbound = 2737677.495262, lowerbound=1185611.495262, norm of subgrad 1089.501489 dualbound = 2737677.495262, lowerbound=1185611.495262, norm of subgrad 39.705508 stepsize= 1.000000
+dualbound = 2737847.343478, lowerbound=1185145.343478, norm of subgrad 1089.313703 dualbound = 2737847.343478, lowerbound=1185145.343478, norm of subgrad 40.358992 stepsize= 1.000000
+dualbound = 2737986.336609, lowerbound=1180211.336609, norm of subgrad 1087.028213 dualbound = 2737986.336609, lowerbound=1180211.336609, norm of subgrad 39.471422 stepsize= 1.000000
+dualbound = 2738178.934373, lowerbound=1183317.934373, norm of subgrad 1088.456216 dualbound = 2738178.934373, lowerbound=1183317.934373, norm of subgrad 40.144710 stepsize= 1.000000
+dualbound = 2738295.437933, lowerbound=1184280.437933, norm of subgrad 1088.946481 dualbound = 2738295.437933, lowerbound=1184280.437933, norm of subgrad 40.503130 stepsize= 1.000000
+dualbound = 2738466.914573, lowerbound=1182667.914573, norm of subgrad 1088.176417 dualbound = 2738466.914573, lowerbound=1182667.914573, norm of subgrad 40.391542 stepsize= 1.000000
+dualbound = 2738653.421899, lowerbound=1182532.421899, norm of subgrad 1088.098535 dualbound = 2738653.421899, lowerbound=1182532.421899, norm of subgrad 40.156037 stepsize= 1.000000
+dualbound = 2738804.523076, lowerbound=1186790.523076, norm of subgrad 1090.061706 dualbound = 2738804.523076, lowerbound=1186790.523076, norm of subgrad 39.938718 stepsize= 1.000000
+dualbound = 2738962.606604, lowerbound=1184398.606604, norm of subgrad 1088.977781 dualbound = 2738962.606604, lowerbound=1184398.606604, norm of subgrad 40.399054 stepsize= 1.000000
+dualbound = 2739099.668367, lowerbound=1184339.668367, norm of subgrad 1088.941995 dualbound = 2739099.668367, lowerbound=1184339.668367, norm of subgrad 39.900649 stepsize= 1.000000
+dualbound = 2739278.414260, lowerbound=1182520.414260, norm of subgrad 1088.100370 dualbound = 2739278.414260, lowerbound=1182520.414260, norm of subgrad 40.258488 stepsize= 1.000000
+dualbound = 2739432.186678, lowerbound=1184375.186678, norm of subgrad 1088.977129 dualbound = 2739432.186678, lowerbound=1184375.186678, norm of subgrad 40.617391 stepsize= 1.000000
+dualbound = 2739574.415393, lowerbound=1182042.415393, norm of subgrad 1087.905518 dualbound = 2739574.415393, lowerbound=1182042.415393, norm of subgrad 40.475038 stepsize= 1.000000
+dualbound = 2739743.254636, lowerbound=1185439.254636, norm of subgrad 1089.452273 dualbound = 2739743.254636, lowerbound=1185439.254636, norm of subgrad 40.445510 stepsize= 1.000000
+dualbound = 2739913.388032, lowerbound=1185502.388032, norm of subgrad 1089.449121 dualbound = 2739913.388032, lowerbound=1185502.388032, norm of subgrad 39.587036 stepsize= 1.000000
+dualbound = 2740098.932132, lowerbound=1187810.932132, norm of subgrad 1090.500771 dualbound = 2740098.932132, lowerbound=1187810.932132, norm of subgrad 39.579592 stepsize= 1.000000
+dualbound = 2740230.668493, lowerbound=1184919.668493, norm of subgrad 1089.191750 dualbound = 2740230.668493, lowerbound=1184919.668493, norm of subgrad 39.379390 stepsize= 1.000000
+dualbound = 2740379.482364, lowerbound=1184252.482364, norm of subgrad 1088.882217 dualbound = 2740379.482364, lowerbound=1184252.482364, norm of subgrad 39.507137 stepsize= 1.000000
+dualbound = 2740573.997909, lowerbound=1179192.997909, norm of subgrad 1086.525194 dualbound = 2740573.997909, lowerbound=1179192.997909, norm of subgrad 39.223915 stepsize= 1.000000
+dualbound = 2740728.269798, lowerbound=1187960.269798, norm of subgrad 1090.567407 dualbound = 2740728.269798, lowerbound=1187960.269798, norm of subgrad 39.131469 stepsize= 1.000000
+dualbound = 2740887.981153, lowerbound=1178687.981153, norm of subgrad 1086.334194 dualbound = 2740887.981153, lowerbound=1178687.981153, norm of subgrad 39.921315 stepsize= 1.000000
+dualbound = 2741023.743466, lowerbound=1189093.743466, norm of subgrad 1091.129114 dualbound = 2741023.743466, lowerbound=1189093.743466, norm of subgrad 40.059485 stepsize= 1.000000
+dualbound = 2741185.114996, lowerbound=1182087.114996, norm of subgrad 1087.915491 dualbound = 2741185.114996, lowerbound=1182087.114996, norm of subgrad 40.427361 stepsize= 1.000000
+dualbound = 2741351.560296, lowerbound=1185790.560296, norm of subgrad 1089.597889 dualbound = 2741351.560296, lowerbound=1185790.560296, norm of subgrad 39.993066 stepsize= 1.000000
+dualbound = 2741508.085690, lowerbound=1182507.085690, norm of subgrad 1088.084135 dualbound = 2741508.085690, lowerbound=1182507.085690, norm of subgrad 39.705483 stepsize= 1.000000
+dualbound = 2741667.670594, lowerbound=1186300.670594, norm of subgrad 1089.852132 dualbound = 2741667.670594, lowerbound=1186300.670594, norm of subgrad 40.454727 stepsize= 1.000000
+dualbound = 2741815.660049, lowerbound=1186778.660049, norm of subgrad 1090.097546 dualbound = 2741815.660049, lowerbound=1186778.660049, norm of subgrad 41.012065 stepsize= 1.000000
+dualbound = 2741974.443867, lowerbound=1182440.443867, norm of subgrad 1088.070514 dualbound = 2741974.443867, lowerbound=1182440.443867, norm of subgrad 40.196814 stepsize= 1.000000
+dualbound = 2742140.972337, lowerbound=1186235.972337, norm of subgrad 1089.842178 dualbound = 2742140.972337, lowerbound=1186235.972337, norm of subgrad 41.067365 stepsize= 1.000000
+dualbound = 2742305.994010, lowerbound=1183529.994010, norm of subgrad 1088.552706 dualbound = 2742305.994010, lowerbound=1183529.994010, norm of subgrad 39.774636 stepsize= 1.000000
+dualbound = 2742495.310190, lowerbound=1184298.310190, norm of subgrad 1088.912903 dualbound = 2742495.310190, lowerbound=1184298.310190, norm of subgrad 40.277986 stepsize= 1.000000
+dualbound = 2742642.369707, lowerbound=1183654.369707, norm of subgrad 1088.609374 dualbound = 2742642.369707, lowerbound=1183654.369707, norm of subgrad 39.535548 stepsize= 1.000000
+dualbound = 2742784.420547, lowerbound=1182637.420547, norm of subgrad 1088.193191 dualbound = 2742784.420547, lowerbound=1182637.420547, norm of subgrad 40.854019 stepsize= 1.000000
+dualbound = 2742956.144607, lowerbound=1187472.144607, norm of subgrad 1090.372021 dualbound = 2742956.144607, lowerbound=1187472.144607, norm of subgrad 40.133827 stepsize= 1.000000
+dualbound = 2743110.566805, lowerbound=1184781.566805, norm of subgrad 1089.160946 dualbound = 2743110.566805, lowerbound=1184781.566805, norm of subgrad 40.551476 stepsize= 1.000000
+dualbound = 2743268.828672, lowerbound=1186368.828672, norm of subgrad 1089.876520 dualbound = 2743268.828672, lowerbound=1186368.828672, norm of subgrad 40.252477 stepsize= 1.000000
+dualbound = 2743444.287987, lowerbound=1182833.287987, norm of subgrad 1088.223455 dualbound = 2743444.287987, lowerbound=1182833.287987, norm of subgrad 39.654247 stepsize= 1.000000
+dualbound = 2743622.657569, lowerbound=1182951.657569, norm of subgrad 1088.311838 dualbound = 2743622.657569, lowerbound=1182951.657569, norm of subgrad 40.612431 stepsize= 1.000000
+dualbound = 2743704.862022, lowerbound=1186101.862022, norm of subgrad 1089.779272 dualbound = 2743704.862022, lowerbound=1186101.862022, norm of subgrad 39.990054 stepsize= 1.000000
+dualbound = 2743903.382252, lowerbound=1179978.382252, norm of subgrad 1086.938537 dualbound = 2743903.382252, lowerbound=1179978.382252, norm of subgrad 40.688085 stepsize= 1.000000
+dualbound = 2744067.797584, lowerbound=1188579.797584, norm of subgrad 1090.890828 dualbound = 2744067.797584, lowerbound=1188579.797584, norm of subgrad 40.341236 stepsize= 1.000000
+dualbound = 2744258.122073, lowerbound=1182969.122073, norm of subgrad 1088.296891 dualbound = 2744258.122073, lowerbound=1182969.122073, norm of subgrad 40.141307 stepsize= 1.000000
+dualbound = 2744390.581864, lowerbound=1185503.581864, norm of subgrad 1089.499693 dualbound = 2744390.581864, lowerbound=1185503.581864, norm of subgrad 40.477893 stepsize= 1.000000
+dualbound = 2744547.090855, lowerbound=1186212.090855, norm of subgrad 1089.770660 dualbound = 2744547.090855, lowerbound=1186212.090855, norm of subgrad 39.300242 stepsize= 1.000000
+dualbound = 2744729.147712, lowerbound=1180942.147712, norm of subgrad 1087.338102 dualbound = 2744729.147712, lowerbound=1180942.147712, norm of subgrad 39.294489 stepsize= 1.000000
+dualbound = 2744913.170251, lowerbound=1183453.170251, norm of subgrad 1088.493073 dualbound = 2744913.170251, lowerbound=1183453.170251, norm of subgrad 39.344918 stepsize= 1.000000
+dualbound = 2745040.533433, lowerbound=1184292.533433, norm of subgrad 1088.912546 dualbound = 2745040.533433, lowerbound=1184292.533433, norm of subgrad 39.564671 stepsize= 1.000000
+dualbound = 2745190.588337, lowerbound=1183354.588337, norm of subgrad 1088.467541 dualbound = 2745190.588337, lowerbound=1183354.588337, norm of subgrad 39.459535 stepsize= 1.000000
+dualbound = 2745354.676613, lowerbound=1186512.676613, norm of subgrad 1089.934712 dualbound = 2745354.676613, lowerbound=1186512.676613, norm of subgrad 40.113443 stepsize= 1.000000
+dualbound = 2745529.247594, lowerbound=1183357.247594, norm of subgrad 1088.494487 dualbound = 2745529.247594, lowerbound=1183357.247594, norm of subgrad 40.466912 stepsize= 1.000000
+dualbound = 2745676.819781, lowerbound=1188462.819781, norm of subgrad 1090.845003 dualbound = 2745676.819781, lowerbound=1188462.819781, norm of subgrad 40.343180 stepsize= 1.000000
+dualbound = 2745849.908436, lowerbound=1182810.908436, norm of subgrad 1088.226037 dualbound = 2745849.908436, lowerbound=1182810.908436, norm of subgrad 39.976101 stepsize= 1.000000
+dualbound = 2746002.087326, lowerbound=1186858.087326, norm of subgrad 1090.097742 dualbound = 2746002.087326, lowerbound=1186858.087326, norm of subgrad 40.089636 stepsize= 1.000000
+dualbound = 2746159.091900, lowerbound=1184784.091900, norm of subgrad 1089.162564 dualbound = 2746159.091900, lowerbound=1184784.091900, norm of subgrad 40.595623 stepsize= 1.000000
+dualbound = 2746300.189713, lowerbound=1183186.189713, norm of subgrad 1088.431068 dualbound = 2746300.189713, lowerbound=1183186.189713, norm of subgrad 40.461065 stepsize= 1.000000
+dualbound = 2746451.541102, lowerbound=1185628.541102, norm of subgrad 1089.553368 dualbound = 2746451.541102, lowerbound=1185628.541102, norm of subgrad 40.612207 stepsize= 1.000000
+dualbound = 2746598.469799, lowerbound=1183125.469799, norm of subgrad 1088.395824 dualbound = 2746598.469799, lowerbound=1183125.469799, norm of subgrad 40.335204 stepsize= 1.000000
+dualbound = 2746794.968156, lowerbound=1186185.968156, norm of subgrad 1089.794920 dualbound = 2746794.968156, lowerbound=1186185.968156, norm of subgrad 40.786007 stepsize= 1.000000
+dualbound = 2746933.253911, lowerbound=1181081.253911, norm of subgrad 1087.425516 dualbound = 2746933.253911, lowerbound=1181081.253911, norm of subgrad 39.386365 stepsize= 1.000000
+dualbound = 2747148.836197, lowerbound=1187935.836197, norm of subgrad 1090.560790 dualbound = 2747148.836197, lowerbound=1187935.836197, norm of subgrad 40.032266 stepsize= 1.000000
+dualbound = 2747272.661747, lowerbound=1182355.661747, norm of subgrad 1088.026958 dualbound = 2747272.661747, lowerbound=1182355.661747, norm of subgrad 39.633642 stepsize= 1.000000
+dualbound = 2747421.638054, lowerbound=1184644.638054, norm of subgrad 1089.063193 dualbound = 2747421.638054, lowerbound=1184644.638054, norm of subgrad 39.534495 stepsize= 1.000000
+dualbound = 2747623.035808, lowerbound=1186532.035808, norm of subgrad 1089.921114 dualbound = 2747623.035808, lowerbound=1186532.035808, norm of subgrad 39.967459 stepsize= 1.000000
+dualbound = 2747753.274814, lowerbound=1185889.274814, norm of subgrad 1089.653282 dualbound = 2747753.274814, lowerbound=1185889.274814, norm of subgrad 39.815060 stepsize= 1.000000
+dualbound = 2747912.732912, lowerbound=1184060.732912, norm of subgrad 1088.797379 dualbound = 2747912.732912, lowerbound=1184060.732912, norm of subgrad 39.729814 stepsize= 1.000000
+dualbound = 2748100.755331, lowerbound=1180154.755331, norm of subgrad 1086.987928 dualbound = 2748100.755331, lowerbound=1180154.755331, norm of subgrad 39.699149 stepsize= 1.000000
+dualbound = 2748236.490134, lowerbound=1183206.490134, norm of subgrad 1088.422937 dualbound = 2748236.490134, lowerbound=1183206.490134, norm of subgrad 39.921608 stepsize= 1.000000
+dualbound = 2748404.594855, lowerbound=1183470.594855, norm of subgrad 1088.558494 dualbound = 2748404.594855, lowerbound=1183470.594855, norm of subgrad 40.707551 stepsize= 1.000000
+dualbound = 2748515.972167, lowerbound=1182624.972167, norm of subgrad 1088.162659 dualbound = 2748515.972167, lowerbound=1182624.972167, norm of subgrad 39.804237 stepsize= 1.000000
+dualbound = 2748734.642403, lowerbound=1191139.642403, norm of subgrad 1092.048370 dualbound = 2748734.642403, lowerbound=1191139.642403, norm of subgrad 40.603820 stepsize= 1.000000
+dualbound = 2748862.422272, lowerbound=1183193.422272, norm of subgrad 1088.410043 dualbound = 2748862.422272, lowerbound=1183193.422272, norm of subgrad 39.633065 stepsize= 1.000000
+dualbound = 2749043.865499, lowerbound=1186090.865499, norm of subgrad 1089.739357 dualbound = 2749043.865499, lowerbound=1186090.865499, norm of subgrad 40.279563 stepsize= 1.000000
+dualbound = 2749165.882468, lowerbound=1181470.882468, norm of subgrad 1087.618445 dualbound = 2749165.882468, lowerbound=1181470.882468, norm of subgrad 39.560295 stepsize= 1.000000
+dualbound = 2749364.120537, lowerbound=1186528.120537, norm of subgrad 1089.936751 dualbound = 2749364.120537, lowerbound=1186528.120537, norm of subgrad 40.400966 stepsize= 1.000000
+dualbound = 2749506.158975, lowerbound=1184128.158975, norm of subgrad 1088.815025 dualbound = 2749506.158975, lowerbound=1184128.158975, norm of subgrad 39.141263 stepsize= 1.000000
+dualbound = 2749688.635123, lowerbound=1186193.635123, norm of subgrad 1089.786509 dualbound = 2749688.635123, lowerbound=1186193.635123, norm of subgrad 40.292383 stepsize= 1.000000
+dualbound = 2749815.642419, lowerbound=1187413.642419, norm of subgrad 1090.386465 dualbound = 2749815.642419, lowerbound=1187413.642419, norm of subgrad 40.694070 stepsize= 1.000000
+dualbound = 2749970.352303, lowerbound=1186168.352303, norm of subgrad 1089.782250 dualbound = 2749970.352303, lowerbound=1186168.352303, norm of subgrad 40.146107 stepsize= 1.000000
+dualbound = 2750138.105714, lowerbound=1184239.105714, norm of subgrad 1088.893983 dualbound = 2750138.105714, lowerbound=1184239.105714, norm of subgrad 40.233735 stepsize= 1.000000
+dualbound = 2750316.400257, lowerbound=1185196.400257, norm of subgrad 1089.327040 dualbound = 2750316.400257, lowerbound=1185196.400257, norm of subgrad 40.190727 stepsize= 1.000000
+dualbound = 2750437.398800, lowerbound=1188030.398800, norm of subgrad 1090.650906 dualbound = 2750437.398800, lowerbound=1188030.398800, norm of subgrad 40.124787 stepsize= 1.000000
+dualbound = 2750603.464388, lowerbound=1183218.464388, norm of subgrad 1088.444516 dualbound = 2750603.464388, lowerbound=1183218.464388, norm of subgrad 40.731629 stepsize= 1.000000
+dualbound = 2750755.574656, lowerbound=1183235.574656, norm of subgrad 1088.436298 dualbound = 2750755.574656, lowerbound=1183235.574656, norm of subgrad 40.126179 stepsize= 1.000000
+dualbound = 2750945.204633, lowerbound=1186836.204633, norm of subgrad 1090.067982 dualbound = 2750945.204633, lowerbound=1186836.204633, norm of subgrad 40.020370 stepsize= 1.000000
+dualbound = 2751104.860383, lowerbound=1183680.860383, norm of subgrad 1088.631646 dualbound = 2751104.860383, lowerbound=1183680.860383, norm of subgrad 39.970686 stepsize= 1.000000
+dualbound = 2751231.144089, lowerbound=1183622.144089, norm of subgrad 1088.630398 dualbound = 2751231.144089, lowerbound=1183622.144089, norm of subgrad 40.252748 stepsize= 1.000000
+dualbound = 2751420.748557, lowerbound=1184651.748557, norm of subgrad 1089.099972 dualbound = 2751420.748557, lowerbound=1184651.748557, norm of subgrad 40.946361 stepsize= 1.000000
+dualbound = 2751574.058697, lowerbound=1184499.058697, norm of subgrad 1089.014260 dualbound = 2751574.058697, lowerbound=1184499.058697, norm of subgrad 40.078799 stepsize= 1.000000
+dualbound = 2751708.351361, lowerbound=1188243.351361, norm of subgrad 1090.721024 dualbound = 2751708.351361, lowerbound=1188243.351361, norm of subgrad 39.538496 stepsize= 1.000000
+dualbound = 2751900.690344, lowerbound=1186112.690344, norm of subgrad 1089.747535 dualbound = 2751900.690344, lowerbound=1186112.690344, norm of subgrad 40.365071 stepsize= 1.000000
+dualbound = 2752030.085240, lowerbound=1184634.085240, norm of subgrad 1089.092322 dualbound = 2752030.085240, lowerbound=1184634.085240, norm of subgrad 40.216848 stepsize= 1.000000
+dualbound = 2752216.327219, lowerbound=1184489.327219, norm of subgrad 1088.983621 dualbound = 2752216.327219, lowerbound=1184489.327219, norm of subgrad 39.777405 stepsize= 1.000000
+dualbound = 2752367.243531, lowerbound=1188949.243531, norm of subgrad 1091.063813 dualbound = 2752367.243531, lowerbound=1188949.243531, norm of subgrad 40.273022 stepsize= 1.000000
+dualbound = 2752540.724677, lowerbound=1184137.724677, norm of subgrad 1088.824928 dualbound = 2752540.724677, lowerbound=1184137.724677, norm of subgrad 39.692331 stepsize= 1.000000
+dualbound = 2752699.825189, lowerbound=1186110.825189, norm of subgrad 1089.735668 dualbound = 2752699.825189, lowerbound=1186110.825189, norm of subgrad 39.649723 stepsize= 1.000000
+dualbound = 2752839.509040, lowerbound=1181635.509040, norm of subgrad 1087.692286 dualbound = 2752839.509040, lowerbound=1181635.509040, norm of subgrad 39.732655 stepsize= 1.000000
+dualbound = 2753005.612200, lowerbound=1184656.612200, norm of subgrad 1089.090727 dualbound = 2753005.612200, lowerbound=1184656.612200, norm of subgrad 40.349760 stepsize= 1.000000
+dualbound = 2753181.211652, lowerbound=1188767.211652, norm of subgrad 1090.977640 dualbound = 2753181.211652, lowerbound=1188767.211652, norm of subgrad 40.504314 stepsize= 1.000000
+dualbound = 2753314.691806, lowerbound=1184931.691806, norm of subgrad 1089.202778 dualbound = 2753314.691806, lowerbound=1184931.691806, norm of subgrad 39.553510 stepsize= 1.000000
+dualbound = 2753489.473704, lowerbound=1187052.473704, norm of subgrad 1090.190109 dualbound = 2753489.473704, lowerbound=1187052.473704, norm of subgrad 40.457161 stepsize= 1.000000
+dualbound = 2753601.322145, lowerbound=1184408.322145, norm of subgrad 1089.003362 dualbound = 2753601.322145, lowerbound=1184408.322145, norm of subgrad 40.396144 stepsize= 1.000000
+dualbound = 2753791.360435, lowerbound=1186170.360435, norm of subgrad 1089.774913 dualbound = 2753791.360435, lowerbound=1186170.360435, norm of subgrad 40.361346 stepsize= 1.000000
+dualbound = 2753951.582163, lowerbound=1183690.582163, norm of subgrad 1088.620954 dualbound = 2753951.582163, lowerbound=1183690.582163, norm of subgrad 39.562883 stepsize= 1.000000
+dualbound = 2754118.798453, lowerbound=1187141.798453, norm of subgrad 1090.218693 dualbound = 2754118.798453, lowerbound=1187141.798453, norm of subgrad 40.027694 stepsize= 1.000000
+dualbound = 2754274.004399, lowerbound=1185399.004399, norm of subgrad 1089.419113 dualbound = 2754274.004399, lowerbound=1185399.004399, norm of subgrad 39.877386 stepsize= 1.000000
+dualbound = 2754406.637403, lowerbound=1188551.637403, norm of subgrad 1090.871504 dualbound = 2754406.637403, lowerbound=1188551.637403, norm of subgrad 39.769750 stepsize= 1.000000
+dualbound = 2754584.772022, lowerbound=1182874.772022, norm of subgrad 1088.259056 dualbound = 2754584.772022, lowerbound=1182874.772022, norm of subgrad 40.138941 stepsize= 1.000000
+dualbound = 2754724.756147, lowerbound=1187287.756147, norm of subgrad 1090.316356 dualbound = 2754724.756147, lowerbound=1187287.756147, norm of subgrad 40.521403 stepsize= 1.000000
+dualbound = 2754897.327448, lowerbound=1182596.327448, norm of subgrad 1088.132495 dualbound = 2754897.327448, lowerbound=1182596.327448, norm of subgrad 40.106998 stepsize= 1.000000
+dualbound = 2755051.905773, lowerbound=1186178.905773, norm of subgrad 1089.780210 dualbound = 2755051.905773, lowerbound=1186178.905773, norm of subgrad 39.957206 stepsize= 1.000000
+dualbound = 2755214.497825, lowerbound=1181321.497825, norm of subgrad 1087.531378 dualbound = 2755214.497825, lowerbound=1181321.497825, norm of subgrad 39.567563 stepsize= 1.000000
+dualbound = 2755396.844422, lowerbound=1189147.844422, norm of subgrad 1091.112663 dualbound = 2755396.844422, lowerbound=1189147.844422, norm of subgrad 39.513879 stepsize= 1.000000
+dualbound = 2755527.737179, lowerbound=1185911.737179, norm of subgrad 1089.657165 dualbound = 2755527.737179, lowerbound=1185911.737179, norm of subgrad 39.647103 stepsize= 1.000000
+dualbound = 2755690.840072, lowerbound=1191394.840072, norm of subgrad 1092.177568 dualbound = 2755690.840072, lowerbound=1191394.840072, norm of subgrad 40.250502 stepsize= 1.000000
+dualbound = 2755855.182845, lowerbound=1184743.182845, norm of subgrad 1089.130930 dualbound = 2755855.182845, lowerbound=1184743.182845, norm of subgrad 40.340337 stepsize= 1.000000
+dualbound = 2756009.871781, lowerbound=1185323.871781, norm of subgrad 1089.381876 dualbound = 2756009.871781, lowerbound=1185323.871781, norm of subgrad 39.795589 stepsize= 1.000000
+dualbound = 2756172.322691, lowerbound=1185242.322691, norm of subgrad 1089.354085 dualbound = 2756172.322691, lowerbound=1185242.322691, norm of subgrad 40.155335 stepsize= 1.000000
+dualbound = 2756314.601063, lowerbound=1184311.601063, norm of subgrad 1088.924516 dualbound = 2756314.601063, lowerbound=1184311.601063, norm of subgrad 39.840662 stepsize= 1.000000
+dualbound = 2756479.638117, lowerbound=1191176.638117, norm of subgrad 1092.041500 dualbound = 2756479.638117, lowerbound=1191176.638117, norm of subgrad 39.281510 stepsize= 1.000000
+dualbound = 2756651.075744, lowerbound=1187010.075744, norm of subgrad 1090.143603 dualbound = 2756651.075744, lowerbound=1187010.075744, norm of subgrad 39.679184 stepsize= 1.000000
+dualbound = 2756784.250293, lowerbound=1183985.250293, norm of subgrad 1088.763175 dualbound = 2756784.250293, lowerbound=1183985.250293, norm of subgrad 39.410336 stepsize= 1.000000
+dualbound = 2756941.752414, lowerbound=1187842.752414, norm of subgrad 1090.550665 dualbound = 2756941.752414, lowerbound=1187842.752414, norm of subgrad 40.193309 stepsize= 1.000000
+dualbound = 2757082.277123, lowerbound=1183378.277123, norm of subgrad 1088.495419 dualbound = 2757082.277123, lowerbound=1183378.277123, norm of subgrad 39.806089 stepsize= 1.000000
+dualbound = 2757245.653414, lowerbound=1185344.653414, norm of subgrad 1089.424001 dualbound = 2757245.653414, lowerbound=1185344.653414, norm of subgrad 40.784510 stepsize= 1.000000
+dualbound = 2757407.948553, lowerbound=1188057.948553, norm of subgrad 1090.628694 dualbound = 2757407.948553, lowerbound=1188057.948553, norm of subgrad 39.689988 stepsize= 1.000000
+dualbound = 2757575.231534, lowerbound=1181600.231534, norm of subgrad 1087.682505 dualbound = 2757575.231534, lowerbound=1181600.231534, norm of subgrad 40.252739 stepsize= 1.000000
+dualbound = 2757727.858124, lowerbound=1188761.858124, norm of subgrad 1090.984353 dualbound = 2757727.858124, lowerbound=1188761.858124, norm of subgrad 40.467599 stepsize= 1.000000
+dualbound = 2757875.943993, lowerbound=1186098.943993, norm of subgrad 1089.734804 dualbound = 2757875.943993, lowerbound=1186098.943993, norm of subgrad 39.636926 stepsize= 1.000000
+dualbound = 2758063.567569, lowerbound=1187871.567569, norm of subgrad 1090.548288 dualbound = 2758063.567569, lowerbound=1187871.567569, norm of subgrad 40.145032 stepsize= 1.000000
+dualbound = 2758191.684935, lowerbound=1183557.684935, norm of subgrad 1088.562669 dualbound = 2758191.684935, lowerbound=1183557.684935, norm of subgrad 39.231586 stepsize= 1.000000
+dualbound = 2758369.616708, lowerbound=1183313.616708, norm of subgrad 1088.460664 dualbound = 2758369.616708, lowerbound=1183313.616708, norm of subgrad 40.136415 stepsize= 1.000000
+dualbound = 2758516.546181, lowerbound=1187110.546181, norm of subgrad 1090.212157 dualbound = 2758516.546181, lowerbound=1187110.546181, norm of subgrad 39.986616 stepsize= 1.000000
+dualbound = 2758692.283891, lowerbound=1184520.283891, norm of subgrad 1089.028137 dualbound = 2758692.283891, lowerbound=1184520.283891, norm of subgrad 40.468972 stepsize= 1.000000
+dualbound = 2758839.569844, lowerbound=1186841.569844, norm of subgrad 1090.095670 dualbound = 2758839.569844, lowerbound=1186841.569844, norm of subgrad 40.178178 stepsize= 1.000000
+dualbound = 2758996.653309, lowerbound=1186909.653309, norm of subgrad 1090.091580 dualbound = 2758996.653309, lowerbound=1186909.653309, norm of subgrad 39.332982 stepsize= 1.000000
+dualbound = 2759165.313162, lowerbound=1187429.313162, norm of subgrad 1090.395943 dualbound = 2759165.313162, lowerbound=1187429.313162, norm of subgrad 41.263299 stepsize= 1.000000
+dualbound = 2759286.793001, lowerbound=1186597.793001, norm of subgrad 1089.987978 dualbound = 2759286.793001, lowerbound=1186597.793001, norm of subgrad 39.968486 stepsize= 1.000000
+dualbound = 2759443.895212, lowerbound=1189537.895212, norm of subgrad 1091.340412 dualbound = 2759443.895212, lowerbound=1189537.895212, norm of subgrad 40.535197 stepsize= 1.000000
+dualbound = 2759620.445945, lowerbound=1181578.445945, norm of subgrad 1087.688579 dualbound = 2759620.445945, lowerbound=1181578.445945, norm of subgrad 40.798906 stepsize= 1.000000
+dualbound = 2759757.250332, lowerbound=1188960.250332, norm of subgrad 1091.046860 dualbound = 2759757.250332, lowerbound=1188960.250332, norm of subgrad 39.494359 stepsize= 1.000000
+dualbound = 2759958.870374, lowerbound=1180462.870374, norm of subgrad 1087.172880 dualbound = 2759958.870374, lowerbound=1180462.870374, norm of subgrad 41.031939 stepsize= 1.000000
+dualbound = 2760059.066404, lowerbound=1191070.066404, norm of subgrad 1092.054058 dualbound = 2760059.066404, lowerbound=1191070.066404, norm of subgrad 40.152161 stepsize= 1.000000
+dualbound = 2760227.599321, lowerbound=1183942.599321, norm of subgrad 1088.749098 dualbound = 2760227.599321, lowerbound=1183942.599321, norm of subgrad 40.006661 stepsize= 1.000000
+dualbound = 2760416.522276, lowerbound=1189137.522276, norm of subgrad 1091.112516 dualbound = 2760416.522276, lowerbound=1189137.522276, norm of subgrad 39.723078 stepsize= 1.000000
+dualbound = 2760587.204834, lowerbound=1185473.204834, norm of subgrad 1089.432056 dualbound = 2760587.204834, lowerbound=1185473.204834, norm of subgrad 39.492817 stepsize= 1.000000
+dualbound = 2760736.235504, lowerbound=1186721.235504, norm of subgrad 1090.029924 dualbound = 2760736.235504, lowerbound=1186721.235504, norm of subgrad 39.912788 stepsize= 1.000000
+dualbound = 2760889.384624, lowerbound=1190465.384624, norm of subgrad 1091.739614 dualbound = 2760889.384624, lowerbound=1190465.384624, norm of subgrad 39.788806 stepsize= 1.000000
+dualbound = 2761049.640610, lowerbound=1181271.640610, norm of subgrad 1087.515352 dualbound = 2761049.640610, lowerbound=1181271.640610, norm of subgrad 39.727270 stepsize= 1.000000
+dualbound = 2761217.718764, lowerbound=1185674.718764, norm of subgrad 1089.533257 dualbound = 2761217.718764, lowerbound=1185674.718764, norm of subgrad 39.699851 stepsize= 1.000000
+dualbound = 2761346.289555, lowerbound=1188872.289555, norm of subgrad 1091.057418 dualbound = 2761346.289555, lowerbound=1188872.289555, norm of subgrad 40.774634 stepsize= 1.000000
+dualbound = 2761500.036978, lowerbound=1184183.036978, norm of subgrad 1088.866400 dualbound = 2761500.036978, lowerbound=1184183.036978, norm of subgrad 40.009342 stepsize= 1.000000
+dualbound = 2761684.584338, lowerbound=1186625.584338, norm of subgrad 1089.982837 dualbound = 2761684.584338, lowerbound=1186625.584338, norm of subgrad 40.268441 stepsize= 1.000000
+dualbound = 2761794.042845, lowerbound=1187788.042845, norm of subgrad 1090.555383 dualbound = 2761794.042845, lowerbound=1187788.042845, norm of subgrad 40.403694 stepsize= 1.000000
+dualbound = 2761978.736318, lowerbound=1189810.736318, norm of subgrad 1091.444793 dualbound = 2761978.736318, lowerbound=1189810.736318, norm of subgrad 40.319889 stepsize= 1.000000
+dualbound = 2762163.389040, lowerbound=1184928.389040, norm of subgrad 1089.204934 dualbound = 2762163.389040, lowerbound=1184928.389040, norm of subgrad 40.294574 stepsize= 1.000000
+dualbound = 2762300.152859, lowerbound=1183523.152859, norm of subgrad 1088.557832 dualbound = 2762300.152859, lowerbound=1183523.152859, norm of subgrad 39.645477 stepsize= 1.000000
+dualbound = 2762470.695952, lowerbound=1186503.695952, norm of subgrad 1089.936097 dualbound = 2762470.695952, lowerbound=1186503.695952, norm of subgrad 40.342820 stepsize= 1.000000
+dualbound = 2762620.807135, lowerbound=1186216.807135, norm of subgrad 1089.757683 dualbound = 2762620.807135, lowerbound=1186216.807135, norm of subgrad 38.795762 stepsize= 1.000000
+dualbound = 2762806.317941, lowerbound=1189597.317941, norm of subgrad 1091.318156 dualbound = 2762806.317941, lowerbound=1189597.317941, norm of subgrad 39.541254 stepsize= 1.000000
+dualbound = 2762945.497242, lowerbound=1187979.497242, norm of subgrad 1090.565678 dualbound = 2762945.497242, lowerbound=1187979.497242, norm of subgrad 38.641678 stepsize= 1.000000
+dualbound = 2763107.240010, lowerbound=1189558.240010, norm of subgrad 1091.326367 dualbound = 2763107.240010, lowerbound=1189558.240010, norm of subgrad 39.959264 stepsize= 1.000000
+dualbound = 2763218.568745, lowerbound=1186496.568745, norm of subgrad 1089.943379 dualbound = 2763218.568745, lowerbound=1186496.568745, norm of subgrad 39.891462 stepsize= 1.000000
+dualbound = 2763374.395515, lowerbound=1188030.395515, norm of subgrad 1090.671534 dualbound = 2763374.395515, lowerbound=1188030.395515, norm of subgrad 41.107503 stepsize= 1.000000
+dualbound = 2763536.703077, lowerbound=1181938.703077, norm of subgrad 1087.857851 dualbound = 2763536.703077, lowerbound=1181938.703077, norm of subgrad 40.722323 stepsize= 1.000000
+dualbound = 2763687.964019, lowerbound=1189651.964019, norm of subgrad 1091.377553 dualbound = 2763687.964019, lowerbound=1189651.964019, norm of subgrad 40.053226 stepsize= 1.000000
+dualbound = 2763870.056653, lowerbound=1183626.056653, norm of subgrad 1088.588562 dualbound = 2763870.056653, lowerbound=1183626.056653, norm of subgrad 39.762956 stepsize= 1.000000
+dualbound = 2764042.986145, lowerbound=1188992.986145, norm of subgrad 1091.076068 dualbound = 2764042.986145, lowerbound=1188992.986145, norm of subgrad 40.335214 stepsize= 1.000000
+dualbound = 2764184.174090, lowerbound=1188884.174090, norm of subgrad 1090.991372 dualbound = 2764184.174090, lowerbound=1188884.174090, norm of subgrad 38.976762 stepsize= 1.000000
+dualbound = 2764353.935450, lowerbound=1185112.935450, norm of subgrad 1089.268073 dualbound = 2764353.935450, lowerbound=1185112.935450, norm of subgrad 39.519127 stepsize= 1.000000
+dualbound = 2764485.635636, lowerbound=1186437.635636, norm of subgrad 1089.887442 dualbound = 2764485.635636, lowerbound=1186437.635636, norm of subgrad 39.353528 stepsize= 1.000000
+dualbound = 2764660.991864, lowerbound=1185020.991864, norm of subgrad 1089.235049 dualbound = 2764660.991864, lowerbound=1185020.991864, norm of subgrad 39.841639 stepsize= 1.000000
+dualbound = 2764809.874966, lowerbound=1187829.874966, norm of subgrad 1090.514042 dualbound = 2764809.874966, lowerbound=1187829.874966, norm of subgrad 39.241344 stepsize= 1.000000
+dualbound = 2764976.938269, lowerbound=1186296.938269, norm of subgrad 1089.845832 dualbound = 2764976.938269, lowerbound=1186296.938269, norm of subgrad 40.423549 stepsize= 1.000000
+dualbound = 2765115.601063, lowerbound=1191905.601063, norm of subgrad 1092.403589 dualbound = 2765115.601063, lowerbound=1191905.601063, norm of subgrad 39.732390 stepsize= 1.000000
+dualbound = 2765266.163172, lowerbound=1188091.163172, norm of subgrad 1090.662717 dualbound = 2765266.163172, lowerbound=1188091.163172, norm of subgrad 40.056986 stepsize= 1.000000
+dualbound = 2765443.784410, lowerbound=1184701.784410, norm of subgrad 1089.104120 dualbound = 2765443.784410, lowerbound=1184701.784410, norm of subgrad 40.294184 stepsize= 1.000000
+dualbound = 2765584.465276, lowerbound=1188711.465276, norm of subgrad 1090.955758 dualbound = 2765584.465276, lowerbound=1188711.465276, norm of subgrad 40.170647 stepsize= 1.000000
+dualbound = 2765738.788058, lowerbound=1186399.788058, norm of subgrad 1089.900816 dualbound = 2765738.788058, lowerbound=1186399.788058, norm of subgrad 40.476200 stepsize= 1.000000
+dualbound = 2765894.175226, lowerbound=1187506.175226, norm of subgrad 1090.384875 dualbound = 2765894.175226, lowerbound=1187506.175226, norm of subgrad 39.854575 stepsize= 1.000000
+dualbound = 2766046.561525, lowerbound=1189719.561525, norm of subgrad 1091.409438 dualbound = 2766046.561525, lowerbound=1189719.561525, norm of subgrad 40.092222 stepsize= 1.000000
+dualbound = 2766221.922679, lowerbound=1182493.922679, norm of subgrad 1088.077168 dualbound = 2766221.922679, lowerbound=1182493.922679, norm of subgrad 39.916928 stepsize= 1.000000
+dualbound = 2766373.248054, lowerbound=1189872.248054, norm of subgrad 1091.478927 dualbound = 2766373.248054, lowerbound=1189872.248054, norm of subgrad 40.066512 stepsize= 1.000000
+dualbound = 2766536.294876, lowerbound=1182586.294876, norm of subgrad 1088.142589 dualbound = 2766536.294876, lowerbound=1182586.294876, norm of subgrad 40.386221 stepsize= 1.000000
+dualbound = 2766687.896081, lowerbound=1187838.896081, norm of subgrad 1090.552106 dualbound = 2766687.896081, lowerbound=1187838.896081, norm of subgrad 40.206980 stepsize= 1.000000
+dualbound = 2766845.667305, lowerbound=1184580.667305, norm of subgrad 1089.030150 dualbound = 2766845.667305, lowerbound=1184580.667305, norm of subgrad 39.544547 stepsize= 1.000000
+dualbound = 2767000.380963, lowerbound=1189132.380963, norm of subgrad 1091.172938 dualbound = 2767000.380963, lowerbound=1189132.380963, norm of subgrad 40.996508 stepsize= 1.000000
+dualbound = 2767132.920508, lowerbound=1184237.920508, norm of subgrad 1088.870020 dualbound = 2767132.920508, lowerbound=1184237.920508, norm of subgrad 39.147663 stepsize= 1.000000
+dualbound = 2767344.467414, lowerbound=1186126.467414, norm of subgrad 1089.745598 dualbound = 2767344.467414, lowerbound=1186126.467414, norm of subgrad 40.380031 stepsize= 1.000000
+dualbound = 2767451.938926, lowerbound=1186209.938926, norm of subgrad 1089.807294 dualbound = 2767451.938926, lowerbound=1186209.938926, norm of subgrad 39.717396 stepsize= 1.000000
+dualbound = 2767630.587825, lowerbound=1187388.587825, norm of subgrad 1090.353423 dualbound = 2767630.587825, lowerbound=1187388.587825, norm of subgrad 40.751060 stepsize= 1.000000
+dualbound = 2767790.876679, lowerbound=1188610.876679, norm of subgrad 1090.872530 dualbound = 2767790.876679, lowerbound=1188610.876679, norm of subgrad 39.399097 stepsize= 1.000000
+dualbound = 2767936.840431, lowerbound=1187957.840431, norm of subgrad 1090.613974 dualbound = 2767936.840431, lowerbound=1187957.840431, norm of subgrad 40.335639 stepsize= 1.000000
+dualbound = 2768081.992891, lowerbound=1185441.992891, norm of subgrad 1089.465003 dualbound = 2768081.992891, lowerbound=1185441.992891, norm of subgrad 40.461741 stepsize= 1.000000
+dualbound = 2768232.658851, lowerbound=1191358.658851, norm of subgrad 1092.160088 dualbound = 2768232.658851, lowerbound=1191358.658851, norm of subgrad 40.070762 stepsize= 1.000000
+dualbound = 2768407.485602, lowerbound=1185865.485602, norm of subgrad 1089.657967 dualbound = 2768407.485602, lowerbound=1185865.485602, norm of subgrad 40.790032 stepsize= 1.000000
+dualbound = 2768526.641461, lowerbound=1187069.641461, norm of subgrad 1090.193855 dualbound = 2768526.641461, lowerbound=1187069.641461, norm of subgrad 39.650421 stepsize= 1.000000
+dualbound = 2768705.730528, lowerbound=1187568.730528, norm of subgrad 1090.469042 dualbound = 2768705.730528, lowerbound=1187568.730528, norm of subgrad 41.630386 stepsize= 1.000000
+dualbound = 2768830.971740, lowerbound=1189561.971740, norm of subgrad 1091.332659 dualbound = 2768830.971740, lowerbound=1189561.971740, norm of subgrad 39.626269 stepsize= 1.000000
+dualbound = 2769041.392340, lowerbound=1187069.392340, norm of subgrad 1090.138245 dualbound = 2769041.392340, lowerbound=1187069.392340, norm of subgrad 39.273663 stepsize= 1.000000
+dualbound = 2769185.019530, lowerbound=1188354.019530, norm of subgrad 1090.774963 dualbound = 2769185.019530, lowerbound=1188354.019530, norm of subgrad 39.744524 stepsize= 1.000000
+dualbound = 2769307.913490, lowerbound=1183602.913490, norm of subgrad 1088.612380 dualbound = 2769307.913490, lowerbound=1183602.913490, norm of subgrad 39.961156 stepsize= 1.000000
+dualbound = 2769496.278922, lowerbound=1189548.278922, norm of subgrad 1091.312640 dualbound = 2769496.278922, lowerbound=1189548.278922, norm of subgrad 40.042046 stepsize= 1.000000
+dualbound = 2769631.380740, lowerbound=1185553.380740, norm of subgrad 1089.493176 dualbound = 2769631.380740, lowerbound=1185553.380740, norm of subgrad 39.712741 stepsize= 1.000000
+dualbound = 2769823.886846, lowerbound=1190659.886846, norm of subgrad 1091.805792 dualbound = 2769823.886846, lowerbound=1190659.886846, norm of subgrad 39.654837 stepsize= 1.000000
+dualbound = 2769949.353943, lowerbound=1187622.353943, norm of subgrad 1090.444567 dualbound = 2769949.353943, lowerbound=1187622.353943, norm of subgrad 39.654345 stepsize= 1.000000
+dualbound = 2770117.432803, lowerbound=1187835.432803, norm of subgrad 1090.519799 dualbound = 2770117.432803, lowerbound=1187835.432803, norm of subgrad 39.573714 stepsize= 1.000000
+dualbound = 2770248.424598, lowerbound=1184600.424598, norm of subgrad 1089.060340 dualbound = 2770248.424598, lowerbound=1184600.424598, norm of subgrad 39.786829 stepsize= 1.000000
+dualbound = 2770429.674696, lowerbound=1182659.674696, norm of subgrad 1088.175388 dualbound = 2770429.674696, lowerbound=1182659.674696, norm of subgrad 40.586329 stepsize= 1.000000
+dualbound = 2770554.497072, lowerbound=1190816.497072, norm of subgrad 1091.926965 dualbound = 2770554.497072, lowerbound=1190816.497072, norm of subgrad 40.159960 stepsize= 1.000000
+dualbound = 2770732.573301, lowerbound=1187907.573301, norm of subgrad 1090.573048 dualbound = 2770732.573301, lowerbound=1187907.573301, norm of subgrad 40.250171 stepsize= 1.000000
+dualbound = 2770879.835494, lowerbound=1189010.835494, norm of subgrad 1091.081498 dualbound = 2770879.835494, lowerbound=1189010.835494, norm of subgrad 39.940734 stepsize= 1.000000
+dualbound = 2771046.149506, lowerbound=1185076.149506, norm of subgrad 1089.286991 dualbound = 2771046.149506, lowerbound=1185076.149506, norm of subgrad 40.451378 stepsize= 1.000000
+dualbound = 2771191.039611, lowerbound=1188614.039611, norm of subgrad 1090.918897 dualbound = 2771191.039611, lowerbound=1188614.039611, norm of subgrad 40.433774 stepsize= 1.000000
+dualbound = 2771341.806680, lowerbound=1187089.806680, norm of subgrad 1090.231079 dualbound = 2771341.806680, lowerbound=1187089.806680, norm of subgrad 40.801557 stepsize= 1.000000
+dualbound = 2771492.526150, lowerbound=1188789.526150, norm of subgrad 1090.975035 dualbound = 2771492.526150, lowerbound=1188789.526150, norm of subgrad 39.846198 stepsize= 1.000000
+dualbound = 2771639.849454, lowerbound=1189113.849454, norm of subgrad 1091.114499 dualbound = 2771639.849454, lowerbound=1189113.849454, norm of subgrad 39.551527 stepsize= 1.000000
+dualbound = 2771841.352846, lowerbound=1188640.352846, norm of subgrad 1090.920874 dualbound = 2771841.352846, lowerbound=1188640.352846, norm of subgrad 40.859557 stepsize= 1.000000
+dualbound = 2771960.314636, lowerbound=1187982.314636, norm of subgrad 1090.616942 dualbound = 2771960.314636, lowerbound=1187982.314636, norm of subgrad 39.773883 stepsize= 1.000000
+dualbound = 2772098.344919, lowerbound=1189952.344919, norm of subgrad 1091.551806 dualbound = 2772098.344919, lowerbound=1189952.344919, norm of subgrad 40.878237 stepsize= 1.000000
+dualbound = 2772248.303141, lowerbound=1180550.303141, norm of subgrad 1087.219528 dualbound = 2772248.303141, lowerbound=1180550.303141, norm of subgrad 40.570411 stepsize= 1.000000
+dualbound = 2772426.011284, lowerbound=1190899.011284, norm of subgrad 1091.947806 dualbound = 2772426.011284, lowerbound=1190899.011284, norm of subgrad 40.357256 stepsize= 1.000000
+dualbound = 2772592.373993, lowerbound=1189739.373993, norm of subgrad 1091.441420 dualbound = 2772592.373993, lowerbound=1189739.373993, norm of subgrad 40.882303 stepsize= 1.000000
+dualbound = 2772743.412174, lowerbound=1188690.412174, norm of subgrad 1090.940609 dualbound = 2772743.412174, lowerbound=1188690.412174, norm of subgrad 40.150195 stepsize= 1.000000
+dualbound = 2772909.649897, lowerbound=1185111.649897, norm of subgrad 1089.297319 dualbound = 2772909.649897, lowerbound=1185111.649897, norm of subgrad 40.289424 stepsize= 1.000000
+dualbound = 2773032.810262, lowerbound=1189028.810262, norm of subgrad 1091.086527 dualbound = 2773032.810262, lowerbound=1189028.810262, norm of subgrad 39.549467 stepsize= 1.000000
+dualbound = 2773233.172279, lowerbound=1189926.172279, norm of subgrad 1091.486222 dualbound = 2773233.172279, lowerbound=1189926.172279, norm of subgrad 40.204005 stepsize= 1.000000
+dualbound = 2773347.124773, lowerbound=1188827.124773, norm of subgrad 1091.023430 dualbound = 2773347.124773, lowerbound=1188827.124773, norm of subgrad 40.236209 stepsize= 1.000000
+dualbound = 2773521.067064, lowerbound=1189463.067064, norm of subgrad 1091.296049 dualbound = 2773521.067064, lowerbound=1189463.067064, norm of subgrad 40.471500 stepsize= 1.000000
+dualbound = 2773679.507003, lowerbound=1182558.507003, norm of subgrad 1088.114198 dualbound = 2773679.507003, lowerbound=1182558.507003, norm of subgrad 39.905387 stepsize= 1.000000
+dualbound = 2773858.072400, lowerbound=1192881.072400, norm of subgrad 1092.822068 dualbound = 2773858.072400, lowerbound=1192881.072400, norm of subgrad 39.466003 stepsize= 1.000000
+dualbound = 2774012.105556, lowerbound=1181850.105556, norm of subgrad 1087.761511 dualbound = 2774012.105556, lowerbound=1181850.105556, norm of subgrad 39.102854 stepsize= 1.000000
+dualbound = 2774164.388352, lowerbound=1188916.388352, norm of subgrad 1091.035924 dualbound = 2774164.388352, lowerbound=1188916.388352, norm of subgrad 39.940991 stepsize= 1.000000
+dualbound = 2774300.178383, lowerbound=1189712.178383, norm of subgrad 1091.389105 dualbound = 2774300.178383, lowerbound=1189712.178383, norm of subgrad 39.418143 stepsize= 1.000000
+dualbound = 2774473.747414, lowerbound=1191351.747414, norm of subgrad 1092.137696 dualbound = 2774473.747414, lowerbound=1191351.747414, norm of subgrad 39.831759 stepsize= 1.000000
+dualbound = 2774625.267470, lowerbound=1188054.267470, norm of subgrad 1090.627923 dualbound = 2774625.267470, lowerbound=1188054.267470, norm of subgrad 39.579288 stepsize= 1.000000
+dualbound = 2774772.289692, lowerbound=1185745.289692, norm of subgrad 1089.610155 dualbound = 2774772.289692, lowerbound=1185745.289692, norm of subgrad 40.645076 stepsize= 1.000000
+dualbound = 2774909.695392, lowerbound=1193996.695392, norm of subgrad 1093.379941 dualbound = 2774909.695392, lowerbound=1193996.695392, norm of subgrad 40.254263 stepsize= 1.000000
+dualbound = 2775065.538106, lowerbound=1189097.538106, norm of subgrad 1091.127187 dualbound = 2775065.538106, lowerbound=1189097.538106, norm of subgrad 40.209983 stepsize= 1.000000
+dualbound = 2775239.540209, lowerbound=1189747.540209, norm of subgrad 1091.403015 dualbound = 2775239.540209, lowerbound=1189747.540209, norm of subgrad 39.837195 stepsize= 1.000000
+dualbound = 2775405.146728, lowerbound=1188120.146728, norm of subgrad 1090.663627 dualbound = 2775405.146728, lowerbound=1188120.146728, norm of subgrad 39.907474 stepsize= 1.000000
+dualbound = 2775560.515457, lowerbound=1187501.515457, norm of subgrad 1090.343760 dualbound = 2775560.515457, lowerbound=1187501.515457, norm of subgrad 38.773299 stepsize= 1.000000
+dualbound = 2775695.037351, lowerbound=1188074.037351, norm of subgrad 1090.668161 dualbound = 2775695.037351, lowerbound=1188074.037351, norm of subgrad 40.218427 stepsize= 1.000000
+dualbound = 2775838.999279, lowerbound=1186994.999279, norm of subgrad 1090.149072 dualbound = 2775838.999279, lowerbound=1186994.999279, norm of subgrad 39.673189 stepsize= 1.000000
+dualbound = 2776014.686836, lowerbound=1182248.686836, norm of subgrad 1087.979635 dualbound = 2776014.686836, lowerbound=1182248.686836, norm of subgrad 40.332215 stepsize= 1.000000
+dualbound = 2776143.001461, lowerbound=1190955.001461, norm of subgrad 1091.961538 dualbound = 2776143.001461, lowerbound=1190955.001461, norm of subgrad 39.412113 stepsize= 1.000000
+dualbound = 2776306.003078, lowerbound=1189968.003078, norm of subgrad 1091.541572 dualbound = 2776306.003078, lowerbound=1189968.003078, norm of subgrad 40.718566 stepsize= 1.000000
+dualbound = 2776451.585362, lowerbound=1190071.585362, norm of subgrad 1091.578025 dualbound = 2776451.585362, lowerbound=1190071.585362, norm of subgrad 40.206744 stepsize= 1.000000
+dualbound = 2776644.506243, lowerbound=1187109.506243, norm of subgrad 1090.202048 dualbound = 2776644.506243, lowerbound=1187109.506243, norm of subgrad 40.297902 stepsize= 1.000000
+dualbound = 2776768.865680, lowerbound=1188598.865680, norm of subgrad 1090.908276 dualbound = 2776768.865680, lowerbound=1188598.865680, norm of subgrad 40.079414 stepsize= 1.000000
+dualbound = 2776908.639504, lowerbound=1189451.639504, norm of subgrad 1091.327009 dualbound = 2776908.639504, lowerbound=1189451.639504, norm of subgrad 41.021626 stepsize= 1.000000
+dualbound = 2777063.547188, lowerbound=1187689.547188, norm of subgrad 1090.479962 dualbound = 2777063.547188, lowerbound=1187689.547188, norm of subgrad 40.148570 stepsize= 1.000000
+dualbound = 2777223.882407, lowerbound=1189379.882407, norm of subgrad 1091.288176 dualbound = 2777223.882407, lowerbound=1189379.882407, norm of subgrad 41.113687 stepsize= 1.000000
+dualbound = 2777347.987361, lowerbound=1190520.987361, norm of subgrad 1091.796221 dualbound = 2777347.987361, lowerbound=1190520.987361, norm of subgrad 40.275364 stepsize= 1.000000
+dualbound = 2777548.527097, lowerbound=1186054.527097, norm of subgrad 1089.702495 dualbound = 2777548.527097, lowerbound=1186054.527097, norm of subgrad 39.969235 stepsize= 1.000000
+dualbound = 2777725.405741, lowerbound=1189083.405741, norm of subgrad 1091.092299 dualbound = 2777725.405741, lowerbound=1189083.405741, norm of subgrad 39.697338 stepsize= 1.000000
+dualbound = 2777844.790686, lowerbound=1185619.790686, norm of subgrad 1089.527324 dualbound = 2777844.790686, lowerbound=1185619.790686, norm of subgrad 39.615463 stepsize= 1.000000
+dualbound = 2778002.313691, lowerbound=1190499.313691, norm of subgrad 1091.777136 dualbound = 2778002.313691, lowerbound=1190499.313691, norm of subgrad 40.441600 stepsize= 1.000000
+dualbound = 2778135.341801, lowerbound=1191734.341801, norm of subgrad 1092.387908 dualbound = 2778135.341801, lowerbound=1191734.341801, norm of subgrad 41.352486 stepsize= 1.000000
+dualbound = 2778289.728587, lowerbound=1186928.728587, norm of subgrad 1090.151241 dualbound = 2778289.728587, lowerbound=1186928.728587, norm of subgrad 40.686445 stepsize= 1.000000
+dualbound = 2778444.726171, lowerbound=1192395.726171, norm of subgrad 1092.641170 dualbound = 2778444.726171, lowerbound=1192395.726171, norm of subgrad 40.298853 stepsize= 1.000000
+dualbound = 2778626.991657, lowerbound=1188905.991657, norm of subgrad 1091.035743 dualbound = 2778626.991657, lowerbound=1188905.991657, norm of subgrad 40.438416 stepsize= 1.000000
+dualbound = 2778790.795754, lowerbound=1187080.795754, norm of subgrad 1090.181084 dualbound = 2778790.795754, lowerbound=1187080.795754, norm of subgrad 39.721582 stepsize= 1.000000
+dualbound = 2778934.838047, lowerbound=1188200.838047, norm of subgrad 1090.728123 dualbound = 2778934.838047, lowerbound=1188200.838047, norm of subgrad 40.386165 stepsize= 1.000000
+dualbound = 2779075.828096, lowerbound=1186857.828096, norm of subgrad 1090.093036 dualbound = 2779075.828096, lowerbound=1186857.828096, norm of subgrad 39.824491 stepsize= 1.000000
+dualbound = 2779252.261280, lowerbound=1187850.261280, norm of subgrad 1090.527974 dualbound = 2779252.261280, lowerbound=1187850.261280, norm of subgrad 39.716913 stepsize= 1.000000
+dualbound = 2779391.603089, lowerbound=1186282.603089, norm of subgrad 1089.797047 dualbound = 2779391.603089, lowerbound=1186282.603089, norm of subgrad 38.914545 stepsize= 1.000000
+dualbound = 2779572.928127, lowerbound=1190764.928127, norm of subgrad 1091.865343 dualbound = 2779572.928127, lowerbound=1190764.928127, norm of subgrad 39.828696 stepsize= 1.000000
+dualbound = 2779703.864457, lowerbound=1189034.864457, norm of subgrad 1091.091593 dualbound = 2779703.864457, lowerbound=1189034.864457, norm of subgrad 39.710658 stepsize= 1.000000
+dualbound = 2779856.249809, lowerbound=1187156.249809, norm of subgrad 1090.246876 dualbound = 2779856.249809, lowerbound=1187156.249809, norm of subgrad 40.427532 stepsize= 1.000000
+dualbound = 2779994.107293, lowerbound=1192768.107293, norm of subgrad 1092.799207 dualbound = 2779994.107293, lowerbound=1192768.107293, norm of subgrad 39.747421 stepsize= 1.000000
+dualbound = 2780191.823208, lowerbound=1185528.823208, norm of subgrad 1089.433258 dualbound = 2780191.823208, lowerbound=1185528.823208, norm of subgrad 39.162685 stepsize= 1.000000
+dualbound = 2780333.861543, lowerbound=1188271.861543, norm of subgrad 1090.739594 dualbound = 2780333.861543, lowerbound=1188271.861543, norm of subgrad 39.787414 stepsize= 1.000000
+dualbound = 2780476.008121, lowerbound=1188296.008121, norm of subgrad 1090.772207 dualbound = 2780476.008121, lowerbound=1188296.008121, norm of subgrad 40.375074 stepsize= 1.000000
+dualbound = 2780605.606572, lowerbound=1184480.606572, norm of subgrad 1089.002574 dualbound = 2780605.606572, lowerbound=1184480.606572, norm of subgrad 39.693809 stepsize= 1.000000
+dualbound = 2780773.452873, lowerbound=1188933.452873, norm of subgrad 1091.064367 dualbound = 2780773.452873, lowerbound=1188933.452873, norm of subgrad 40.692091 stepsize= 1.000000
+dualbound = 2780906.539743, lowerbound=1188593.539743, norm of subgrad 1090.886126 dualbound = 2780906.539743, lowerbound=1188593.539743, norm of subgrad 39.649551 stepsize= 1.000000
+dualbound = 2781085.360701, lowerbound=1189790.360701, norm of subgrad 1091.470275 dualbound = 2781085.360701, lowerbound=1189790.360701, norm of subgrad 41.180347 stepsize= 1.000000
+dualbound = 2781236.148338, lowerbound=1186893.148338, norm of subgrad 1090.131711 dualbound = 2781236.148338, lowerbound=1186893.148338, norm of subgrad 40.555982 stepsize= 1.000000
+dualbound = 2781406.352853, lowerbound=1188471.352853, norm of subgrad 1090.841580 dualbound = 2781406.352853, lowerbound=1188471.352853, norm of subgrad 40.425295 stepsize= 1.000000
+dualbound = 2781527.687496, lowerbound=1192717.687496, norm of subgrad 1092.793067 dualbound = 2781527.687496, lowerbound=1192717.687496, norm of subgrad 40.004183 stepsize= 1.000000
+dualbound = 2781702.820271, lowerbound=1187898.820271, norm of subgrad 1090.572244 dualbound = 2781702.820271, lowerbound=1187898.820271, norm of subgrad 40.300531 stepsize= 1.000000
+dualbound = 2781869.080283, lowerbound=1186467.080283, norm of subgrad 1089.911501 dualbound = 2781869.080283, lowerbound=1186467.080283, norm of subgrad 40.078174 stepsize= 1.000000
+dualbound = 2782024.905127, lowerbound=1186073.905127, norm of subgrad 1089.700833 dualbound = 2782024.905127, lowerbound=1186073.905127, norm of subgrad 39.112975 stepsize= 1.000000
+dualbound = 2782179.909144, lowerbound=1192772.909144, norm of subgrad 1092.801862 dualbound = 2782179.909144, lowerbound=1192772.909144, norm of subgrad 39.975042 stepsize= 1.000000
+dualbound = 2782309.336935, lowerbound=1188450.336935, norm of subgrad 1090.858532 dualbound = 2782309.336935, lowerbound=1188450.336935, norm of subgrad 40.637763 stepsize= 1.000000
+dualbound = 2782445.948884, lowerbound=1191445.948884, norm of subgrad 1092.208748 dualbound = 2782445.948884, lowerbound=1191445.948884, norm of subgrad 40.132430 stepsize= 1.000000
+dualbound = 2782634.575888, lowerbound=1189365.575888, norm of subgrad 1091.244050 dualbound = 2782634.575888, lowerbound=1189365.575888, norm of subgrad 40.455247 stepsize= 1.000000
+dualbound = 2782789.454145, lowerbound=1187571.454145, norm of subgrad 1090.431774 dualbound = 2782789.454145, lowerbound=1187571.454145, norm of subgrad 40.309779 stepsize= 1.000000
+dualbound = 2782933.810214, lowerbound=1190142.810214, norm of subgrad 1091.642254 dualbound = 2782933.810214, lowerbound=1190142.810214, norm of subgrad 41.040907 stepsize= 1.000000
+dualbound = 2783066.494407, lowerbound=1188451.494407, norm of subgrad 1090.826977 dualbound = 2783066.494407, lowerbound=1188451.494407, norm of subgrad 39.808092 stepsize= 1.000000
+dualbound = 2783246.335589, lowerbound=1184308.335589, norm of subgrad 1088.913833 dualbound = 2783246.335589, lowerbound=1184308.335589, norm of subgrad 40.060469 stepsize= 1.000000
+dualbound = 2783403.679916, lowerbound=1188900.679916, norm of subgrad 1091.038349 dualbound = 2783403.679916, lowerbound=1188900.679916, norm of subgrad 40.265920 stepsize= 1.000000
+dualbound = 2783540.733143, lowerbound=1189024.733143, norm of subgrad 1091.120403 dualbound = 2783540.733143, lowerbound=1189024.733143, norm of subgrad 40.694634 stepsize= 1.000000
+dualbound = 2783697.134865, lowerbound=1190165.134865, norm of subgrad 1091.597057 dualbound = 2783697.134865, lowerbound=1190165.134865, norm of subgrad 39.691331 stepsize= 1.000000
+dualbound = 2783869.877340, lowerbound=1181735.877340, norm of subgrad 1087.709923 dualbound = 2783869.877340, lowerbound=1181735.877340, norm of subgrad 39.366769 stepsize= 1.000000
+dualbound = 2784036.999126, lowerbound=1189486.999126, norm of subgrad 1091.254324 dualbound = 2784036.999126, lowerbound=1189486.999126, norm of subgrad 38.937409 stepsize= 1.000000
+dualbound = 2784188.585972, lowerbound=1187828.585972, norm of subgrad 1090.520328 dualbound = 2784188.585972, lowerbound=1187828.585972, norm of subgrad 39.466275 stepsize= 1.000000
+dualbound = 2784325.524933, lowerbound=1189532.524933, norm of subgrad 1091.311379 dualbound = 2784325.524933, lowerbound=1189532.524933, norm of subgrad 39.559309 stepsize= 1.000000
+dualbound = 2784477.099878, lowerbound=1192544.099878, norm of subgrad 1092.707234 dualbound = 2784477.099878, lowerbound=1192544.099878, norm of subgrad 40.206653 stepsize= 1.000000
+dualbound = 2784620.446985, lowerbound=1191451.446985, norm of subgrad 1092.197073 dualbound = 2784620.446985, lowerbound=1191451.446985, norm of subgrad 39.828973 stepsize= 1.000000
+dualbound = 2784800.004198, lowerbound=1187507.004198, norm of subgrad 1090.397177 dualbound = 2784800.004198, lowerbound=1187507.004198, norm of subgrad 40.479096 stepsize= 1.000000
+dualbound = 2784943.135634, lowerbound=1189761.135634, norm of subgrad 1091.399622 dualbound = 2784943.135634, lowerbound=1189761.135634, norm of subgrad 39.180753 stepsize= 1.000000
+dualbound = 2785130.504920, lowerbound=1188258.504920, norm of subgrad 1090.711009 dualbound = 2785130.504920, lowerbound=1188258.504920, norm of subgrad 39.741279 stepsize= 1.000000
+dualbound = 2785239.461426, lowerbound=1188445.461426, norm of subgrad 1090.830171 dualbound = 2785239.461426, lowerbound=1188445.461426, norm of subgrad 39.673121 stepsize= 1.000000
+dualbound = 2785374.497533, lowerbound=1187774.497533, norm of subgrad 1090.527165 dualbound = 2785374.497533, lowerbound=1187774.497533, norm of subgrad 40.125255 stepsize= 1.000000
+dualbound = 2785554.106560, lowerbound=1190608.106560, norm of subgrad 1091.793985 dualbound = 2785554.106560, lowerbound=1190608.106560, norm of subgrad 39.819707 stepsize= 1.000000
+dualbound = 2785702.413014, lowerbound=1187042.413014, norm of subgrad 1090.152931 dualbound = 2785702.413014, lowerbound=1187042.413014, norm of subgrad 39.233996 stepsize= 1.000000
+dualbound = 2785890.899388, lowerbound=1189870.899388, norm of subgrad 1091.458611 dualbound = 2785890.899388, lowerbound=1189870.899388, norm of subgrad 39.993579 stepsize= 1.000000
+dualbound = 2786016.862465, lowerbound=1188186.862465, norm of subgrad 1090.710256 dualbound = 2786016.862465, lowerbound=1188186.862465, norm of subgrad 39.849254 stepsize= 1.000000
+dualbound = 2786146.970963, lowerbound=1193885.970963, norm of subgrad 1093.310098 dualbound = 2786146.970963, lowerbound=1193885.970963, norm of subgrad 39.637211 stepsize= 1.000000
+dualbound = 2786299.735460, lowerbound=1189555.735460, norm of subgrad 1091.359581 dualbound = 2786299.735460, lowerbound=1189555.735460, norm of subgrad 40.777009 stepsize= 1.000000
+dualbound = 2786447.537345, lowerbound=1188138.537345, norm of subgrad 1090.654179 dualbound = 2786447.537345, lowerbound=1188138.537345, norm of subgrad 39.189308 stepsize= 1.000000
+dualbound = 2786651.401923, lowerbound=1185873.401923, norm of subgrad 1089.634527 dualbound = 2786651.401923, lowerbound=1185873.401923, norm of subgrad 40.421091 stepsize= 1.000000
+dualbound = 2786786.281231, lowerbound=1191017.281231, norm of subgrad 1091.999213 dualbound = 2786786.281231, lowerbound=1191017.281231, norm of subgrad 39.747696 stepsize= 1.000000
+dualbound = 2786946.741069, lowerbound=1187916.741069, norm of subgrad 1090.588713 dualbound = 2786946.741069, lowerbound=1187916.741069, norm of subgrad 40.341788 stepsize= 1.000000
+dualbound = 2787086.483933, lowerbound=1189273.483933, norm of subgrad 1091.205519 dualbound = 2787086.483933, lowerbound=1189273.483933, norm of subgrad 39.946750 stepsize= 1.000000
+dualbound = 2787230.076187, lowerbound=1189580.076187, norm of subgrad 1091.357905 dualbound = 2787230.076187, lowerbound=1189580.076187, norm of subgrad 40.318634 stepsize= 1.000000
+dualbound = 2787381.141895, lowerbound=1192010.141895, norm of subgrad 1092.457844 dualbound = 2787381.141895, lowerbound=1192010.141895, norm of subgrad 40.063271 stepsize= 1.000000
+dualbound = 2787561.681105, lowerbound=1191830.681105, norm of subgrad 1092.360600 dualbound = 2787561.681105, lowerbound=1191830.681105, norm of subgrad 40.019235 stepsize= 1.000000
+dualbound = 2787694.854766, lowerbound=1188685.854766, norm of subgrad 1090.918812 dualbound = 2787694.854766, lowerbound=1188685.854766, norm of subgrad 39.384942 stepsize= 1.000000
+dualbound = 2787851.602621, lowerbound=1189832.602621, norm of subgrad 1091.481380 dualbound = 2787851.602621, lowerbound=1189832.602621, norm of subgrad 40.690882 stepsize= 1.000000
+dualbound = 2787999.931632, lowerbound=1189051.931632, norm of subgrad 1091.110412 dualbound = 2787999.931632, lowerbound=1189051.931632, norm of subgrad 40.228460 stepsize= 1.000000
+dualbound = 2788152.176416, lowerbound=1188589.176416, norm of subgrad 1090.883209 dualbound = 2788152.176416, lowerbound=1188589.176416, norm of subgrad 39.865333 stepsize= 1.000000
+dualbound = 2788324.469807, lowerbound=1189498.469807, norm of subgrad 1091.291652 dualbound = 2788324.469807, lowerbound=1189498.469807, norm of subgrad 39.891019 stepsize= 1.000000
+dualbound = 2788474.049846, lowerbound=1189367.049846, norm of subgrad 1091.240601 dualbound = 2788474.049846, lowerbound=1189367.049846, norm of subgrad 39.856995 stepsize= 1.000000
+dualbound = 2788619.679452, lowerbound=1187817.679452, norm of subgrad 1090.525414 dualbound = 2788619.679452, lowerbound=1187817.679452, norm of subgrad 39.669001 stepsize= 1.000000
+dualbound = 2788776.282811, lowerbound=1190189.282811, norm of subgrad 1091.591170 dualbound = 2788776.282811, lowerbound=1190189.282811, norm of subgrad 39.225035 stepsize= 1.000000
+dualbound = 2788940.176625, lowerbound=1189776.176625, norm of subgrad 1091.449576 dualbound = 2788940.176625, lowerbound=1189776.176625, norm of subgrad 40.618885 stepsize= 1.000000
+dualbound = 2789046.223811, lowerbound=1188934.223811, norm of subgrad 1091.087175 dualbound = 2789046.223811, lowerbound=1188934.223811, norm of subgrad 40.534518 stepsize= 1.000000
+dualbound = 2789200.143971, lowerbound=1194244.143971, norm of subgrad 1093.478918 dualbound = 2789200.143971, lowerbound=1194244.143971, norm of subgrad 40.073934 stepsize= 1.000000
+dualbound = 2789397.210253, lowerbound=1184294.210253, norm of subgrad 1088.892194 dualbound = 2789397.210253, lowerbound=1184294.210253, norm of subgrad 39.863094 stepsize= 1.000000
+dualbound = 2789537.540625, lowerbound=1189827.540625, norm of subgrad 1091.452491 dualbound = 2789537.540625, lowerbound=1189827.540625, norm of subgrad 39.765945 stepsize= 1.000000
+dualbound = 2789696.552248, lowerbound=1186433.552248, norm of subgrad 1089.898872 dualbound = 2789696.552248, lowerbound=1186433.552248, norm of subgrad 40.062596 stepsize= 1.000000
+dualbound = 2789854.263899, lowerbound=1190584.263899, norm of subgrad 1091.771159 dualbound = 2789854.263899, lowerbound=1190584.263899, norm of subgrad 39.213667 stepsize= 1.000000
+dualbound = 2790023.613241, lowerbound=1190061.613241, norm of subgrad 1091.520322 dualbound = 2790023.613241, lowerbound=1190061.613241, norm of subgrad 39.042917 stepsize= 1.000000
+dualbound = 2790181.685157, lowerbound=1190760.685157, norm of subgrad 1091.856073 dualbound = 2790181.685157, lowerbound=1190760.685157, norm of subgrad 39.332835 stepsize= 1.000000
+dualbound = 2790322.597006, lowerbound=1189874.597006, norm of subgrad 1091.455266 dualbound = 2790322.597006, lowerbound=1189874.597006, norm of subgrad 39.254450 stepsize= 1.000000
+dualbound = 2790488.155751, lowerbound=1186274.155751, norm of subgrad 1089.801888 dualbound = 2790488.155751, lowerbound=1186274.155751, norm of subgrad 39.491249 stepsize= 1.000000
+dualbound = 2790622.881991, lowerbound=1189516.881991, norm of subgrad 1091.308793 dualbound = 2790622.881991, lowerbound=1189516.881991, norm of subgrad 39.657613 stepsize= 1.000000
+dualbound = 2790762.181737, lowerbound=1192555.181737, norm of subgrad 1092.712763 dualbound = 2790762.181737, lowerbound=1192555.181737, norm of subgrad 40.066192 stepsize= 1.000000
+dualbound = 2790905.364338, lowerbound=1188284.364338, norm of subgrad 1090.764578 dualbound = 2790905.364338, lowerbound=1188284.364338, norm of subgrad 40.325954 stepsize= 1.000000
+dualbound = 2791071.358211, lowerbound=1190414.358211, norm of subgrad 1091.727236 dualbound = 2791071.358211, lowerbound=1190414.358211, norm of subgrad 40.249147 stepsize= 1.000000
+dualbound = 2791215.882672, lowerbound=1192294.882672, norm of subgrad 1092.595480 dualbound = 2791215.882672, lowerbound=1192294.882672, norm of subgrad 40.181146 stepsize= 1.000000
+dualbound = 2791377.759258, lowerbound=1188133.759258, norm of subgrad 1090.673535 dualbound = 2791377.759258, lowerbound=1188133.759258, norm of subgrad 39.960938 stepsize= 1.000000
+dualbound = 2791538.491431, lowerbound=1191229.491431, norm of subgrad 1092.104616 dualbound = 2791538.491431, lowerbound=1191229.491431, norm of subgrad 40.295560 stepsize= 1.000000
+dualbound = 2791704.045811, lowerbound=1191796.045811, norm of subgrad 1092.372668 dualbound = 2791704.045811, lowerbound=1191796.045811, norm of subgrad 40.590077 stepsize= 1.000000
+dualbound = 2791831.855954, lowerbound=1190394.855954, norm of subgrad 1091.696320 dualbound = 2791831.855954, lowerbound=1190394.855954, norm of subgrad 39.163888 stepsize= 1.000000
+dualbound = 2792011.998706, lowerbound=1186420.998706, norm of subgrad 1089.873845 dualbound = 2792011.998706, lowerbound=1186420.998706, norm of subgrad 39.801291 stepsize= 1.000000
+dualbound = 2792155.402156, lowerbound=1188152.402156, norm of subgrad 1090.681623 dualbound = 2792155.402156, lowerbound=1188152.402156, norm of subgrad 39.716539 stepsize= 1.000000
+dualbound = 2792282.813176, lowerbound=1190757.813176, norm of subgrad 1091.895972 dualbound = 2792282.813176, lowerbound=1190757.813176, norm of subgrad 40.080058 stepsize= 1.000000
+dualbound = 2792460.034472, lowerbound=1187698.034472, norm of subgrad 1090.466888 dualbound = 2792460.034472, lowerbound=1187698.034472, norm of subgrad 39.965251 stepsize= 1.000000
+dualbound = 2792627.349121, lowerbound=1191044.349121, norm of subgrad 1092.027174 dualbound = 2792627.349121, lowerbound=1191044.349121, norm of subgrad 40.574803 stepsize= 1.000000
+dualbound = 2792730.399642, lowerbound=1189687.399642, norm of subgrad 1091.437767 dualbound = 2792730.399642, lowerbound=1189687.399642, norm of subgrad 40.645424 stepsize= 1.000000
+dualbound = 2792887.082525, lowerbound=1189926.082525, norm of subgrad 1091.508627 dualbound = 2792887.082525, lowerbound=1189926.082525, norm of subgrad 40.270124 stepsize= 1.000000
+dualbound = 2793081.281259, lowerbound=1193528.281259, norm of subgrad 1093.143761 dualbound = 2793081.281259, lowerbound=1193528.281259, norm of subgrad 40.363334 stepsize= 1.000000
+dualbound = 2793217.331089, lowerbound=1188343.331089, norm of subgrad 1090.786107 dualbound = 2793217.331089, lowerbound=1188343.331089, norm of subgrad 40.088026 stepsize= 1.000000
+dualbound = 2793376.522522, lowerbound=1189821.522522, norm of subgrad 1091.461187 dualbound = 2793376.522522, lowerbound=1189821.522522, norm of subgrad 40.313663 stepsize= 1.000000
+dualbound = 2793507.473501, lowerbound=1189598.473501, norm of subgrad 1091.325558 dualbound = 2793507.473501, lowerbound=1189598.473501, norm of subgrad 39.037815 stepsize= 1.000000
+dualbound = 2793701.574485, lowerbound=1189310.574485, norm of subgrad 1091.215641 dualbound = 2793701.574485, lowerbound=1189310.574485, norm of subgrad 40.436382 stepsize= 1.000000
+dualbound = 2793836.242660, lowerbound=1193145.242660, norm of subgrad 1092.985930 dualbound = 2793836.242660, lowerbound=1193145.242660, norm of subgrad 40.095738 stepsize= 1.000000
+dualbound = 2793980.202272, lowerbound=1188759.202272, norm of subgrad 1090.949221 dualbound = 2793980.202272, lowerbound=1188759.202272, norm of subgrad 39.432976 stepsize= 1.000000
+dualbound = 2794138.081162, lowerbound=1193449.081162, norm of subgrad 1093.106619 dualbound = 2794138.081162, lowerbound=1193449.081162, norm of subgrad 39.885823 stepsize= 1.000000
+dualbound = 2794284.558847, lowerbound=1188585.558847, norm of subgrad 1090.882010 dualbound = 2794284.558847, lowerbound=1188585.558847, norm of subgrad 39.805498 stepsize= 1.000000
+dualbound = 2794442.095763, lowerbound=1187726.095763, norm of subgrad 1090.487091 dualbound = 2794442.095763, lowerbound=1187726.095763, norm of subgrad 39.919130 stepsize= 1.000000
+dualbound = 2794603.829550, lowerbound=1190002.829550, norm of subgrad 1091.518589 dualbound = 2794603.829550, lowerbound=1190002.829550, norm of subgrad 39.645098 stepsize= 1.000000
+dualbound = 2794763.964224, lowerbound=1193632.964224, norm of subgrad 1093.186153 dualbound = 2794763.964224, lowerbound=1193632.964224, norm of subgrad 39.788625 stepsize= 1.000000
+dualbound = 2794879.098063, lowerbound=1192923.098063, norm of subgrad 1092.857309 dualbound = 2794879.098063, lowerbound=1192923.098063, norm of subgrad 39.104141 stepsize= 1.000000
+dualbound = 2795066.555290, lowerbound=1183247.555290, norm of subgrad 1088.416995 dualbound = 2795066.555290, lowerbound=1183247.555290, norm of subgrad 39.893072 stepsize= 1.000000
+dualbound = 2795225.826774, lowerbound=1190480.826774, norm of subgrad 1091.717833 dualbound = 2795225.826774, lowerbound=1190480.826774, norm of subgrad 39.067525 stepsize= 1.000000
+dualbound = 2795354.966605, lowerbound=1189583.966605, norm of subgrad 1091.314330 dualbound = 2795354.966605, lowerbound=1189583.966605, norm of subgrad 38.886242 stepsize= 1.000000
+dualbound = 2795505.254897, lowerbound=1188001.254897, norm of subgrad 1090.640754 dualbound = 2795505.254897, lowerbound=1188001.254897, norm of subgrad 40.574478 stepsize= 1.000000
+dualbound = 2795611.562976, lowerbound=1196576.562976, norm of subgrad 1094.576888 dualbound = 2795611.562976, lowerbound=1196576.562976, norm of subgrad 40.352300 stepsize= 1.000000
+dualbound = 2795797.812897, lowerbound=1185416.812897, norm of subgrad 1089.446104 dualbound = 2795797.812897, lowerbound=1185416.812897, norm of subgrad 40.770699 stepsize= 1.000000
+dualbound = 2795953.501673, lowerbound=1188657.501673, norm of subgrad 1090.942025 dualbound = 2795953.501673, lowerbound=1188657.501673, norm of subgrad 40.653275 stepsize= 1.000000
+dualbound = 2796091.931467, lowerbound=1189482.931467, norm of subgrad 1091.329433 dualbound = 2796091.931467, lowerbound=1189482.931467, norm of subgrad 40.686973 stepsize= 1.000000
+dualbound = 2796236.755150, lowerbound=1193420.755150, norm of subgrad 1093.126139 dualbound = 2796236.755150, lowerbound=1193420.755150, norm of subgrad 40.605710 stepsize= 1.000000
+dualbound = 2796416.222810, lowerbound=1190614.222810, norm of subgrad 1091.833881 dualbound = 2796416.222810, lowerbound=1190614.222810, norm of subgrad 40.822392 stepsize= 1.000000
+dualbound = 2796569.010655, lowerbound=1192470.010655, norm of subgrad 1092.696212 dualbound = 2796569.010655, lowerbound=1192470.010655, norm of subgrad 40.838558 stepsize= 1.000000
+dualbound = 2796706.834411, lowerbound=1187502.834411, norm of subgrad 1090.398934 dualbound = 2796706.834411, lowerbound=1187502.834411, norm of subgrad 40.060252 stepsize= 1.000000
+dualbound = 2796874.189323, lowerbound=1187926.189323, norm of subgrad 1090.607716 dualbound = 2796874.189323, lowerbound=1187926.189323, norm of subgrad 40.821011 stepsize= 1.000000
+dualbound = 2797015.301973, lowerbound=1187979.301973, norm of subgrad 1090.603183 dualbound = 2797015.301973, lowerbound=1187979.301973, norm of subgrad 39.712878 stepsize= 1.000000
+dualbound = 2797208.835433, lowerbound=1188331.835433, norm of subgrad 1090.743707 dualbound = 2797208.835433, lowerbound=1188331.835433, norm of subgrad 39.793636 stepsize= 1.000000
+dualbound = 2797343.223079, lowerbound=1190965.223079, norm of subgrad 1091.974919 dualbound = 2797343.223079, lowerbound=1190965.223079, norm of subgrad 39.728927 stepsize= 1.000000
+dualbound = 2797482.933553, lowerbound=1192501.933553, norm of subgrad 1092.676500 dualbound = 2797482.933553, lowerbound=1192501.933553, norm of subgrad 39.745572 stepsize= 1.000000
+dualbound = 2797652.238631, lowerbound=1189250.238631, norm of subgrad 1091.164167 dualbound = 2797652.238631, lowerbound=1189250.238631, norm of subgrad 39.475373 stepsize= 1.000000
+dualbound = 2797794.509312, lowerbound=1190557.509312, norm of subgrad 1091.786384 dualbound = 2797794.509312, lowerbound=1190557.509312, norm of subgrad 39.777766 stepsize= 1.000000
+dualbound = 2797952.694528, lowerbound=1190258.694528, norm of subgrad 1091.651819 dualbound = 2797952.694528, lowerbound=1190258.694528, norm of subgrad 40.039795 stepsize= 1.000000
+dualbound = 2798092.963091, lowerbound=1182826.963091, norm of subgrad 1088.254089 dualbound = 2798092.963091, lowerbound=1182826.963091, norm of subgrad 40.128152 stepsize= 1.000000
+dualbound = 2798253.545765, lowerbound=1190438.545765, norm of subgrad 1091.761671 dualbound = 2798253.545765, lowerbound=1190438.545765, norm of subgrad 40.811551 stepsize= 1.000000
+dualbound = 2798397.455087, lowerbound=1188135.455087, norm of subgrad 1090.698609 dualbound = 2798397.455087, lowerbound=1188135.455087, norm of subgrad 40.396897 stepsize= 1.000000
+dualbound = 2798562.055858, lowerbound=1190298.055858, norm of subgrad 1091.643740 dualbound = 2798562.055858, lowerbound=1190298.055858, norm of subgrad 39.403055 stepsize= 1.000000
+dualbound = 2798748.945704, lowerbound=1192185.945704, norm of subgrad 1092.531897 dualbound = 2798748.945704, lowerbound=1192185.945704, norm of subgrad 40.334723 stepsize= 1.000000
+dualbound = 2798847.200811, lowerbound=1194170.200811, norm of subgrad 1093.472542 dualbound = 2798847.200811, lowerbound=1194170.200811, norm of subgrad 40.127984 stepsize= 1.000000
+dualbound = 2799002.257793, lowerbound=1188716.257793, norm of subgrad 1090.970787 dualbound = 2799002.257793, lowerbound=1188716.257793, norm of subgrad 40.694680 stepsize= 1.000000
+dualbound = 2799177.867337, lowerbound=1193459.867337, norm of subgrad 1093.111553 dualbound = 2799177.867337, lowerbound=1193459.867337, norm of subgrad 40.107475 stepsize= 1.000000
+dualbound = 2799326.472302, lowerbound=1187356.472302, norm of subgrad 1090.304303 dualbound = 2799326.472302, lowerbound=1187356.472302, norm of subgrad 39.441158 stepsize= 1.000000
+dualbound = 2799504.989495, lowerbound=1191563.989495, norm of subgrad 1092.215175 dualbound = 2799504.989495, lowerbound=1191563.989495, norm of subgrad 39.351203 stepsize= 1.000000
+dualbound = 2799626.455301, lowerbound=1189131.455301, norm of subgrad 1091.147770 dualbound = 2799626.455301, lowerbound=1189131.455301, norm of subgrad 39.918239 stepsize= 1.000000
+dualbound = 2799798.831602, lowerbound=1192104.831602, norm of subgrad 1092.462279 dualbound = 2799798.831602, lowerbound=1192104.831602, norm of subgrad 39.260366 stepsize= 1.000000
+dualbound = 2799966.512886, lowerbound=1188510.512886, norm of subgrad 1090.836153 dualbound = 2799966.512886, lowerbound=1188510.512886, norm of subgrad 39.757783 stepsize= 1.000000
+dualbound = 2800084.529696, lowerbound=1190034.529696, norm of subgrad 1091.534484 dualbound = 2800084.529696, lowerbound=1190034.529696, norm of subgrad 39.128210 stepsize= 1.000000
+dualbound = 2800242.298482, lowerbound=1192273.298482, norm of subgrad 1092.565009 dualbound = 2800242.298482, lowerbound=1192273.298482, norm of subgrad 39.784027 stepsize= 1.000000
+dualbound = 2800390.040695, lowerbound=1189447.040695, norm of subgrad 1091.284583 dualbound = 2800390.040695, lowerbound=1189447.040695, norm of subgrad 40.034263 stepsize= 1.000000
+dualbound = 2800555.659160, lowerbound=1190886.659160, norm of subgrad 1091.945355 dualbound = 2800555.659160, lowerbound=1190886.659160, norm of subgrad 40.294149 stepsize= 1.000000
+dualbound = 2800697.679492, lowerbound=1189994.679492, norm of subgrad 1091.545088 dualbound = 2800697.679492, lowerbound=1189994.679492, norm of subgrad 40.224623 stepsize= 1.000000
+dualbound = 2800857.680395, lowerbound=1188764.680395, norm of subgrad 1090.976480 dualbound = 2800857.680395, lowerbound=1188764.680395, norm of subgrad 40.311300 stepsize= 1.000000
+dualbound = 2800997.283746, lowerbound=1192483.283746, norm of subgrad 1092.695421 dualbound = 2800997.283746, lowerbound=1192483.283746, norm of subgrad 40.492016 stepsize= 1.000000
+dualbound = 2801131.931897, lowerbound=1193486.931897, norm of subgrad 1093.154578 dualbound = 2801131.931897, lowerbound=1193486.931897, norm of subgrad 40.430782 stepsize= 1.000000
+dualbound = 2801297.960837, lowerbound=1189439.960837, norm of subgrad 1091.304248 dualbound = 2801297.960837, lowerbound=1189439.960837, norm of subgrad 40.878221 stepsize= 1.000000
+dualbound = 2801439.156488, lowerbound=1188457.156488, norm of subgrad 1090.835531 dualbound = 2801439.156488, lowerbound=1188457.156488, norm of subgrad 40.077371 stepsize= 1.000000
+dualbound = 2801615.795724, lowerbound=1194197.795724, norm of subgrad 1093.456810 dualbound = 2801615.795724, lowerbound=1194197.795724, norm of subgrad 40.331616 stepsize= 1.000000
+dualbound = 2801771.596349, lowerbound=1188477.596349, norm of subgrad 1090.830233 dualbound = 2801771.596349, lowerbound=1188477.596349, norm of subgrad 39.859762 stepsize= 1.000000
+dualbound = 2801922.876081, lowerbound=1191302.876081, norm of subgrad 1092.146911 dualbound = 2801922.876081, lowerbound=1191302.876081, norm of subgrad 40.413856 stepsize= 1.000000
+dualbound = 2802068.073978, lowerbound=1191805.073978, norm of subgrad 1092.390990 dualbound = 2802068.073978, lowerbound=1191805.073978, norm of subgrad 40.720976 stepsize= 1.000000
+dualbound = 2802210.626894, lowerbound=1187802.626894, norm of subgrad 1090.537311 dualbound = 2802210.626894, lowerbound=1187802.626894, norm of subgrad 40.144152 stepsize= 1.000000
+dualbound = 2802369.904945, lowerbound=1189779.904945, norm of subgrad 1091.418300 dualbound = 2802369.904945, lowerbound=1189779.904945, norm of subgrad 39.664569 stepsize= 1.000000
+dualbound = 2802545.019798, lowerbound=1192517.019798, norm of subgrad 1092.667388 dualbound = 2802545.019798, lowerbound=1192517.019798, norm of subgrad 39.750659 stepsize= 1.000000
+dualbound = 2802676.102297, lowerbound=1191050.102297, norm of subgrad 1091.991347 dualbound = 2802676.102297, lowerbound=1191050.102297, norm of subgrad 39.065106 stepsize= 1.000000
+dualbound = 2802859.883944, lowerbound=1190409.883944, norm of subgrad 1091.697249 dualbound = 2802859.883944, lowerbound=1190409.883944, norm of subgrad 39.708710 stepsize= 1.000000
+dualbound = 2802977.395685, lowerbound=1192766.395685, norm of subgrad 1092.811235 dualbound = 2802977.395685, lowerbound=1192766.395685, norm of subgrad 39.843591 stepsize= 1.000000
+dualbound = 2803132.227500, lowerbound=1182671.227500, norm of subgrad 1088.199535 dualbound = 2803132.227500, lowerbound=1182671.227500, norm of subgrad 40.765571 stepsize= 1.000000
+dualbound = 2803275.528124, lowerbound=1194473.528124, norm of subgrad 1093.605746 dualbound = 2803275.528124, lowerbound=1194473.528124, norm of subgrad 40.537645 stepsize= 1.000000
+dualbound = 2803415.316759, lowerbound=1189489.316759, norm of subgrad 1091.300745 dualbound = 2803415.316759, lowerbound=1189489.316759, norm of subgrad 39.847066 stepsize= 1.000000
+dualbound = 2803596.219779, lowerbound=1192111.219779, norm of subgrad 1092.488087 dualbound = 2803596.219779, lowerbound=1192111.219779, norm of subgrad 39.998788 stepsize= 1.000000
+dualbound = 2803753.617479, lowerbound=1191233.617479, norm of subgrad 1092.076287 dualbound = 2803753.617479, lowerbound=1191233.617479, norm of subgrad 39.425851 stepsize= 1.000000
+dualbound = 2803907.509481, lowerbound=1197290.509481, norm of subgrad 1094.878765 dualbound = 2803907.509481, lowerbound=1197290.509481, norm of subgrad 40.285134 stepsize= 1.000000
+dualbound = 2804055.090565, lowerbound=1189396.090565, norm of subgrad 1091.235580 dualbound = 2804055.090565, lowerbound=1189396.090565, norm of subgrad 39.326595 stepsize= 1.000000
+dualbound = 2804189.235329, lowerbound=1192762.235329, norm of subgrad 1092.852339 dualbound = 2804189.235329, lowerbound=1192762.235329, norm of subgrad 41.208552 stepsize= 1.000000
+dualbound = 2804326.628790, lowerbound=1191250.628790, norm of subgrad 1092.119329 dualbound = 2804326.628790, lowerbound=1191250.628790, norm of subgrad 40.142166 stepsize= 1.000000
+dualbound = 2804490.897060, lowerbound=1187587.897060, norm of subgrad 1090.431519 dualbound = 2804490.897060, lowerbound=1187587.897060, norm of subgrad 40.215274 stepsize= 1.000000
+dualbound = 2804645.582848, lowerbound=1190166.582848, norm of subgrad 1091.605049 dualbound = 2804645.582848, lowerbound=1190166.582848, norm of subgrad 39.870864 stepsize= 1.000000
+dualbound = 2804811.838296, lowerbound=1192130.838296, norm of subgrad 1092.506219 dualbound = 2804811.838296, lowerbound=1192130.838296, norm of subgrad 40.065639 stepsize= 1.000000
+dualbound = 2804944.184539, lowerbound=1186929.184539, norm of subgrad 1090.099163 dualbound = 2804944.184539, lowerbound=1186929.184539, norm of subgrad 38.978792 stepsize= 1.000000
+dualbound = 2805125.686289, lowerbound=1194617.686289, norm of subgrad 1093.631879 dualbound = 2805125.686289, lowerbound=1194617.686289, norm of subgrad 39.931213 stepsize= 1.000000
+dualbound = 2805270.038460, lowerbound=1185524.038460, norm of subgrad 1089.471449 dualbound = 2805270.038460, lowerbound=1185524.038460, norm of subgrad 39.602426 stepsize= 1.000000
+dualbound = 2805427.040122, lowerbound=1191958.040122, norm of subgrad 1092.438117 dualbound = 2805427.040122, lowerbound=1191958.040122, norm of subgrad 40.249244 stepsize= 1.000000
+dualbound = 2805546.858545, lowerbound=1190676.858545, norm of subgrad 1091.848368 dualbound = 2805546.858545, lowerbound=1190676.858545, norm of subgrad 39.696579 stepsize= 1.000000
+dualbound = 2805729.552952, lowerbound=1195785.552952, norm of subgrad 1094.169801 dualbound = 2805729.552952, lowerbound=1195785.552952, norm of subgrad 40.058637 stepsize= 1.000000
+dualbound = 2805854.875878, lowerbound=1188754.875878, norm of subgrad 1090.979320 dualbound = 2805854.875878, lowerbound=1188754.875878, norm of subgrad 40.078959 stepsize= 1.000000
+dualbound = 2806005.317692, lowerbound=1194823.317692, norm of subgrad 1093.734574 dualbound = 2806005.317692, lowerbound=1194823.317692, norm of subgrad 39.779917 stepsize= 1.000000
+dualbound = 2806137.370797, lowerbound=1188839.370797, norm of subgrad 1091.048748 dualbound = 2806137.370797, lowerbound=1188839.370797, norm of subgrad 40.988451 stepsize= 1.000000
+dualbound = 2806300.233690, lowerbound=1192090.233690, norm of subgrad 1092.462921 dualbound = 2806300.233690, lowerbound=1192090.233690, norm of subgrad 39.342889 stepsize= 1.000000
+dualbound = 2806483.535067, lowerbound=1190090.535067, norm of subgrad 1091.555557 dualbound = 2806483.535067, lowerbound=1190090.535067, norm of subgrad 39.828399 stepsize= 1.000000
+dualbound = 2806631.525000, lowerbound=1191471.525000, norm of subgrad 1092.214963 dualbound = 2806631.525000, lowerbound=1191471.525000, norm of subgrad 40.124680 stepsize= 1.000000
+dualbound = 2806779.213601, lowerbound=1188269.213601, norm of subgrad 1090.743422 dualbound = 2806779.213601, lowerbound=1188269.213601, norm of subgrad 39.996107 stepsize= 1.000000
+dualbound = 2806921.787302, lowerbound=1192895.787302, norm of subgrad 1092.869977 dualbound = 2806921.787302, lowerbound=1192895.787302, norm of subgrad 40.144411 stepsize= 1.000000
+dualbound = 2807065.791032, lowerbound=1187347.791032, norm of subgrad 1090.315913 dualbound = 2807065.791032, lowerbound=1187347.791032, norm of subgrad 39.812105 stepsize= 1.000000
+dualbound = 2807234.063709, lowerbound=1191821.063709, norm of subgrad 1092.366268 dualbound = 2807234.063709, lowerbound=1191821.063709, norm of subgrad 40.140661 stepsize= 1.000000
+dualbound = 2807384.124164, lowerbound=1185485.124164, norm of subgrad 1089.469653 dualbound = 2807384.124164, lowerbound=1185485.124164, norm of subgrad 40.113096 stepsize= 1.000000
+dualbound = 2807515.668377, lowerbound=1192054.668377, norm of subgrad 1092.500191 dualbound = 2807515.668377, lowerbound=1192054.668377, norm of subgrad 40.417128 stepsize= 1.000000
+dualbound = 2807677.129011, lowerbound=1186517.129011, norm of subgrad 1089.938131 dualbound = 2807677.129011, lowerbound=1186517.129011, norm of subgrad 40.118084 stepsize= 1.000000
+dualbound = 2807831.378841, lowerbound=1194529.378841, norm of subgrad 1093.642254 dualbound = 2807831.378841, lowerbound=1194529.378841, norm of subgrad 40.966448 stepsize= 1.000000
+dualbound = 2807958.696211, lowerbound=1189298.696211, norm of subgrad 1091.240439 dualbound = 2807958.696211, lowerbound=1189298.696211, norm of subgrad 40.426691 stepsize= 1.000000
+dualbound = 2808136.857049, lowerbound=1194499.857049, norm of subgrad 1093.584408 dualbound = 2808136.857049, lowerbound=1194499.857049, norm of subgrad 40.064459 stepsize= 1.000000
+dualbound = 2808292.625020, lowerbound=1186294.625020, norm of subgrad 1089.868627 dualbound = 2808292.625020, lowerbound=1186294.625020, norm of subgrad 40.923929 stepsize= 1.000000
+dualbound = 2808429.730011, lowerbound=1200273.730011, norm of subgrad 1096.252129 dualbound = 2808429.730011, lowerbound=1200273.730011, norm of subgrad 40.399319 stepsize= 1.000000
+dualbound = 2808593.623767, lowerbound=1186133.623767, norm of subgrad 1089.779622 dualbound = 2808593.623767, lowerbound=1186133.623767, norm of subgrad 40.618884 stepsize= 1.000000
+dualbound = 2808736.845623, lowerbound=1197326.845623, norm of subgrad 1094.873895 dualbound = 2808736.845623, lowerbound=1197326.845623, norm of subgrad 39.562885 stepsize= 1.000000
+dualbound = 2808917.877524, lowerbound=1187578.877524, norm of subgrad 1090.410417 dualbound = 2808917.877524, lowerbound=1187578.877524, norm of subgrad 39.962882 stepsize= 1.000000
+dualbound = 2809063.275574, lowerbound=1193620.275574, norm of subgrad 1093.173946 dualbound = 2809063.275574, lowerbound=1193620.275574, norm of subgrad 39.425855 stepsize= 1.000000
+dualbound = 2809211.406394, lowerbound=1187135.406394, norm of subgrad 1090.213927 dualbound = 2809211.406394, lowerbound=1187135.406394, norm of subgrad 39.738279 stepsize= 1.000000
+dualbound = 2809361.893210, lowerbound=1197438.893210, norm of subgrad 1094.937392 dualbound = 2809361.893210, lowerbound=1197438.893210, norm of subgrad 39.993585 stepsize= 1.000000
+dualbound = 2809501.172883, lowerbound=1185491.172883, norm of subgrad 1089.475182 dualbound = 2809501.172883, lowerbound=1185491.172883, norm of subgrad 40.053460 stepsize= 1.000000
+dualbound = 2809668.862494, lowerbound=1191344.862494, norm of subgrad 1092.153772 dualbound = 2809668.862494, lowerbound=1191344.862494, norm of subgrad 40.282622 stepsize= 1.000000
+dualbound = 2809778.135247, lowerbound=1190728.135247, norm of subgrad 1091.871391 dualbound = 2809778.135247, lowerbound=1190728.135247, norm of subgrad 39.550888 stepsize= 1.000000
+dualbound = 2809970.424598, lowerbound=1192552.424598, norm of subgrad 1092.699604 dualbound = 2809970.424598, lowerbound=1192552.424598, norm of subgrad 40.401601 stepsize= 1.000000
+dualbound = 2810113.322856, lowerbound=1194309.322856, norm of subgrad 1093.511007 dualbound = 2810113.322856, lowerbound=1194309.322856, norm of subgrad 39.998728 stepsize= 1.000000
+dualbound = 2810269.008430, lowerbound=1191872.008430, norm of subgrad 1092.377228 dualbound = 2810269.008430, lowerbound=1191872.008430, norm of subgrad 39.644490 stepsize= 1.000000
+dualbound = 2810412.530210, lowerbound=1191558.530210, norm of subgrad 1092.243805 dualbound = 2810412.530210, lowerbound=1191558.530210, norm of subgrad 39.768351 stepsize= 1.000000
+dualbound = 2810575.850046, lowerbound=1191399.850046, norm of subgrad 1092.169790 dualbound = 2810575.850046, lowerbound=1191399.850046, norm of subgrad 39.978992 stepsize= 1.000000
+dualbound = 2810726.335322, lowerbound=1192232.335322, norm of subgrad 1092.568229 dualbound = 2810726.335322, lowerbound=1192232.335322, norm of subgrad 40.292497 stepsize= 1.000000
+dualbound = 2810872.481690, lowerbound=1189962.481690, norm of subgrad 1091.540417 dualbound = 2810872.481690, lowerbound=1189962.481690, norm of subgrad 40.548075 stepsize= 1.000000
+dualbound = 2810999.581002, lowerbound=1191262.581002, norm of subgrad 1092.153186 dualbound = 2810999.581002, lowerbound=1191262.581002, norm of subgrad 40.781115 stepsize= 1.000000
+dualbound = 2811152.718932, lowerbound=1195929.718932, norm of subgrad 1094.259896 dualbound = 2811152.718932, lowerbound=1195929.718932, norm of subgrad 40.350191 stepsize= 1.000000
+dualbound = 2811290.586313, lowerbound=1190828.586313, norm of subgrad 1091.937080 dualbound = 2811290.586313, lowerbound=1190828.586313, norm of subgrad 40.445857 stepsize= 1.000000
+dualbound = 2811459.501958, lowerbound=1190529.501958, norm of subgrad 1091.805615 dualbound = 2811459.501958, lowerbound=1190529.501958, norm of subgrad 40.974573 stepsize= 1.000000
+dualbound = 2811623.436087, lowerbound=1193660.436087, norm of subgrad 1093.196431 dualbound = 2811623.436087, lowerbound=1193660.436087, norm of subgrad 39.773536 stepsize= 1.000000
+dualbound = 2811782.806318, lowerbound=1192173.806318, norm of subgrad 1092.514442 dualbound = 2811782.806318, lowerbound=1192173.806318, norm of subgrad 39.665731 stepsize= 1.000000
+dualbound = 2811931.643471, lowerbound=1190942.643471, norm of subgrad 1091.936190 dualbound = 2811931.643471, lowerbound=1190942.643471, norm of subgrad 39.125914 stepsize= 1.000000
+dualbound = 2812052.139372, lowerbound=1192396.139372, norm of subgrad 1092.669273 dualbound = 2812052.139372, lowerbound=1192396.139372, norm of subgrad 40.626296 stepsize= 1.000000
+dualbound = 2812218.481403, lowerbound=1186809.481403, norm of subgrad 1090.081410 dualbound = 2812218.481403, lowerbound=1186809.481403, norm of subgrad 40.426996 stepsize= 1.000000
+dualbound = 2812363.995417, lowerbound=1190174.995417, norm of subgrad 1091.630430 dualbound = 2812363.995417, lowerbound=1190174.995417, norm of subgrad 40.342459 stepsize= 1.000000
+dualbound = 2812510.928038, lowerbound=1193144.928038, norm of subgrad 1092.978924 dualbound = 2812510.928038, lowerbound=1193144.928038, norm of subgrad 40.061610 stepsize= 1.000000
+dualbound = 2812681.346413, lowerbound=1189257.346413, norm of subgrad 1091.194917 dualbound = 2812681.346413, lowerbound=1189257.346413, norm of subgrad 40.241998 stepsize= 1.000000
+dualbound = 2812807.557321, lowerbound=1194464.557321, norm of subgrad 1093.608960 dualbound = 2812807.557321, lowerbound=1194464.557321, norm of subgrad 40.524202 stepsize= 1.000000
+dualbound = 2812979.258458, lowerbound=1188227.258458, norm of subgrad 1090.710437 dualbound = 2812979.258458, lowerbound=1188227.258458, norm of subgrad 39.921187 stepsize= 1.000000
+dualbound = 2813124.976266, lowerbound=1198712.976266, norm of subgrad 1095.527716 dualbound = 2813124.976266, lowerbound=1198712.976266, norm of subgrad 40.171107 stepsize= 1.000000
+dualbound = 2813298.897256, lowerbound=1185557.897256, norm of subgrad 1089.509476 dualbound = 2813298.897256, lowerbound=1185557.897256, norm of subgrad 40.582274 stepsize= 1.000000
+dualbound = 2813425.705829, lowerbound=1196163.705829, norm of subgrad 1094.350815 dualbound = 2813425.705829, lowerbound=1196163.705829, norm of subgrad 39.582933 stepsize= 1.000000
+dualbound = 2813589.308416, lowerbound=1187879.308416, norm of subgrad 1090.545876 dualbound = 2813589.308416, lowerbound=1187879.308416, norm of subgrad 39.681262 stepsize= 1.000000
+dualbound = 2813755.013954, lowerbound=1187719.013954, norm of subgrad 1090.493014 dualbound = 2813755.013954, lowerbound=1187719.013954, norm of subgrad 40.270405 stepsize= 1.000000
+dualbound = 2813860.079253, lowerbound=1191853.079253, norm of subgrad 1092.423031 dualbound = 2813860.079253, lowerbound=1191853.079253, norm of subgrad 40.497720 stepsize= 1.000000
+dualbound = 2814019.836264, lowerbound=1196179.836264, norm of subgrad 1094.380115 dualbound = 2814019.836264, lowerbound=1196179.836264, norm of subgrad 40.592573 stepsize= 1.000000
+dualbound = 2814169.823707, lowerbound=1191799.823707, norm of subgrad 1092.372566 dualbound = 2814169.823707, lowerbound=1191799.823707, norm of subgrad 40.348326 stepsize= 1.000000
+dualbound = 2814355.695672, lowerbound=1193019.695672, norm of subgrad 1092.906536 dualbound = 2814355.695672, lowerbound=1193019.695672, norm of subgrad 40.135669 stepsize= 1.000000
+dualbound = 2814471.454658, lowerbound=1190635.454658, norm of subgrad 1091.807426 dualbound = 2814471.454658, lowerbound=1190635.454658, norm of subgrad 39.035356 stepsize= 1.000000
+dualbound = 2814667.224423, lowerbound=1194815.224423, norm of subgrad 1093.734988 dualbound = 2814667.224423, lowerbound=1194815.224423, norm of subgrad 40.457011 stepsize= 1.000000
+dualbound = 2814781.232911, lowerbound=1197072.232911, norm of subgrad 1094.793238 dualbound = 2814781.232911, lowerbound=1197072.232911, norm of subgrad 40.174724 stepsize= 1.000000
+dualbound = 2814943.631025, lowerbound=1192614.631025, norm of subgrad 1092.723492 dualbound = 2814943.631025, lowerbound=1192614.631025, norm of subgrad 39.904863 stepsize= 1.000000
+dualbound = 2815103.839206, lowerbound=1191726.839206, norm of subgrad 1092.335955 dualbound = 2815103.839206, lowerbound=1191726.839206, norm of subgrad 40.388218 stepsize= 1.000000
+dualbound = 2815228.051149, lowerbound=1189987.051149, norm of subgrad 1091.561749 dualbound = 2815228.051149, lowerbound=1189987.051149, norm of subgrad 40.548883 stepsize= 1.000000
+dualbound = 2815367.606929, lowerbound=1193484.606929, norm of subgrad 1093.141165 dualbound = 2815367.606929, lowerbound=1193484.606929, norm of subgrad 40.156641 stepsize= 1.000000
+dualbound = 2815543.320999, lowerbound=1190994.320999, norm of subgrad 1092.007931 dualbound = 2815543.320999, lowerbound=1190994.320999, norm of subgrad 40.776391 stepsize= 1.000000
+dualbound = 2815685.427900, lowerbound=1192070.427900, norm of subgrad 1092.490013 dualbound = 2815685.427900, lowerbound=1192070.427900, norm of subgrad 40.076264 stepsize= 1.000000
+dualbound = 2815838.732627, lowerbound=1191377.732627, norm of subgrad 1092.148677 dualbound = 2815838.732627, lowerbound=1191377.732627, norm of subgrad 39.551292 stepsize= 1.000000
+dualbound = 2816007.906409, lowerbound=1188743.906409, norm of subgrad 1090.939460 dualbound = 2816007.906409, lowerbound=1188743.906409, norm of subgrad 39.675859 stepsize= 1.000000
+dualbound = 2816166.471873, lowerbound=1190944.471873, norm of subgrad 1091.995637 dualbound = 2816166.471873, lowerbound=1190944.471873, norm of subgrad 40.848078 stepsize= 1.000000
+dualbound = 2816292.269639, lowerbound=1190677.269639, norm of subgrad 1091.848556 dualbound = 2816292.269639, lowerbound=1190677.269639, norm of subgrad 39.771821 stepsize= 1.000000
+dualbound = 2816447.841381, lowerbound=1194220.841381, norm of subgrad 1093.473292 dualbound = 2816447.841381, lowerbound=1194220.841381, norm of subgrad 40.231477 stepsize= 1.000000
+dualbound = 2816598.841594, lowerbound=1192579.841594, norm of subgrad 1092.741434 dualbound = 2816598.841594, lowerbound=1192579.841594, norm of subgrad 40.681694 stepsize= 1.000000
+dualbound = 2816736.239921, lowerbound=1192943.239921, norm of subgrad 1092.914562 dualbound = 2816736.239921, lowerbound=1192943.239921, norm of subgrad 40.698874 stepsize= 1.000000
+dualbound = 2816872.591680, lowerbound=1189485.591680, norm of subgrad 1091.310035 dualbound = 2816872.591680, lowerbound=1189485.591680, norm of subgrad 40.104261 stepsize= 1.000000
+dualbound = 2817055.006373, lowerbound=1193382.006373, norm of subgrad 1093.103383 dualbound = 2817055.006373, lowerbound=1193382.006373, norm of subgrad 40.931830 stepsize= 1.000000
+dualbound = 2817200.624017, lowerbound=1193266.624017, norm of subgrad 1093.049232 dualbound = 2817200.624017, lowerbound=1193266.624017, norm of subgrad 40.442770 stepsize= 1.000000
+dualbound = 2817343.415387, lowerbound=1194010.415387, norm of subgrad 1093.375697 dualbound = 2817343.415387, lowerbound=1194010.415387, norm of subgrad 40.034877 stepsize= 1.000000
+dualbound = 2817497.960404, lowerbound=1193511.960404, norm of subgrad 1093.153219 dualbound = 2817497.960404, lowerbound=1193511.960404, norm of subgrad 40.330448 stepsize= 1.000000
+dualbound = 2817627.641331, lowerbound=1190867.641331, norm of subgrad 1091.961831 dualbound = 2817627.641331, lowerbound=1190867.641331, norm of subgrad 40.530000 stepsize= 1.000000
+dualbound = 2817772.645769, lowerbound=1193548.645769, norm of subgrad 1093.175030 dualbound = 2817772.645769, lowerbound=1193548.645769, norm of subgrad 40.348537 stepsize= 1.000000
+dualbound = 2817928.086796, lowerbound=1192204.086796, norm of subgrad 1092.550267 dualbound = 2817928.086796, lowerbound=1192204.086796, norm of subgrad 40.217422 stepsize= 1.000000
+dualbound = 2818094.499732, lowerbound=1194121.499732, norm of subgrad 1093.370248 dualbound = 2818094.499732, lowerbound=1194121.499732, norm of subgrad 38.773869 stepsize= 1.000000
+dualbound = 2818284.846535, lowerbound=1190033.846535, norm of subgrad 1091.519971 dualbound = 2818284.846535, lowerbound=1190033.846535, norm of subgrad 39.652828 stepsize= 1.000000
+dualbound = 2818396.825291, lowerbound=1198593.825291, norm of subgrad 1095.461010 dualbound = 2818396.825291, lowerbound=1198593.825291, norm of subgrad 39.407851 stepsize= 1.000000
+dualbound = 2818539.549888, lowerbound=1189220.549888, norm of subgrad 1091.195010 dualbound = 2818539.549888, lowerbound=1189220.549888, norm of subgrad 40.357460 stepsize= 1.000000
+dualbound = 2818673.001337, lowerbound=1191231.001337, norm of subgrad 1092.087451 dualbound = 2818673.001337, lowerbound=1191231.001337, norm of subgrad 39.464559 stepsize= 1.000000
+dualbound = 2818845.555241, lowerbound=1193736.555241, norm of subgrad 1093.249082 dualbound = 2818845.555241, lowerbound=1193736.555241, norm of subgrad 40.367733 stepsize= 1.000000
+dualbound = 2818994.957534, lowerbound=1193029.957534, norm of subgrad 1092.893846 dualbound = 2818994.957534, lowerbound=1193029.957534, norm of subgrad 39.196968 stepsize= 1.000000
+dualbound = 2819153.108118, lowerbound=1193392.108118, norm of subgrad 1093.054943 dualbound = 2819153.108118, lowerbound=1193392.108118, norm of subgrad 39.180998 stepsize= 1.000000
+dualbound = 2819289.688440, lowerbound=1192605.688440, norm of subgrad 1092.737246 dualbound = 2819289.688440, lowerbound=1192605.688440, norm of subgrad 40.069693 stepsize= 1.000000
+dualbound = 2819419.423893, lowerbound=1193169.423893, norm of subgrad 1092.987385 dualbound = 2819419.423893, lowerbound=1193169.423893, norm of subgrad 39.771038 stepsize= 1.000000
+dualbound = 2819599.594768, lowerbound=1195557.594768, norm of subgrad 1094.093047 dualbound = 2819599.594768, lowerbound=1195557.594768, norm of subgrad 40.769730 stepsize= 1.000000
+dualbound = 2819715.289504, lowerbound=1191427.289504, norm of subgrad 1092.230877 dualbound = 2819715.289504, lowerbound=1191427.289504, norm of subgrad 40.702515 stepsize= 1.000000
+dualbound = 2819837.989631, lowerbound=1194180.989631, norm of subgrad 1093.491650 dualbound = 2819837.989631, lowerbound=1194180.989631, norm of subgrad 40.812990 stepsize= 1.000000
+dualbound = 2820011.832617, lowerbound=1194252.832617, norm of subgrad 1093.524043 dualbound = 2820011.832617, lowerbound=1194252.832617, norm of subgrad 41.422735 stepsize= 1.000000
+dualbound = 2820159.853856, lowerbound=1192317.853856, norm of subgrad 1092.585857 dualbound = 2820159.853856, lowerbound=1192317.853856, norm of subgrad 39.673937 stepsize= 1.000000
+dualbound = 2820314.189815, lowerbound=1192378.189815, norm of subgrad 1092.630857 dualbound = 2820314.189815, lowerbound=1192378.189815, norm of subgrad 40.228547 stepsize= 1.000000
+dualbound = 2820476.568778, lowerbound=1194579.568778, norm of subgrad 1093.591591 dualbound = 2820476.568778, lowerbound=1194579.568778, norm of subgrad 39.056100 stepsize= 1.000000
+dualbound = 2820641.124409, lowerbound=1193966.124409, norm of subgrad 1093.338522 dualbound = 2820641.124409, lowerbound=1193966.124409, norm of subgrad 39.844142 stepsize= 1.000000
+dualbound = 2820750.282724, lowerbound=1196407.282724, norm of subgrad 1094.473975 dualbound = 2820750.282724, lowerbound=1196407.282724, norm of subgrad 39.688264 stepsize= 1.000000
+dualbound = 2820920.037978, lowerbound=1190248.037978, norm of subgrad 1091.631823 dualbound = 2820920.037978, lowerbound=1190248.037978, norm of subgrad 39.771287 stepsize= 1.000000
+dualbound = 2821065.181177, lowerbound=1195049.181177, norm of subgrad 1093.796682 dualbound = 2821065.181177, lowerbound=1195049.181177, norm of subgrad 38.563496 stepsize= 1.000000
+dualbound = 2821236.697147, lowerbound=1190886.697147, norm of subgrad 1091.939420 dualbound = 2821236.697147, lowerbound=1190886.697147, norm of subgrad 40.205920 stepsize= 1.000000
+dualbound = 2821334.694470, lowerbound=1190640.694470, norm of subgrad 1091.856078 dualbound = 2821334.694470, lowerbound=1190640.694470, norm of subgrad 40.087371 stepsize= 1.000000
+dualbound = 2821495.791500, lowerbound=1189269.791500, norm of subgrad 1091.196495 dualbound = 2821495.791500, lowerbound=1189269.791500, norm of subgrad 40.013711 stepsize= 1.000000
+dualbound = 2821664.693947, lowerbound=1197323.693947, norm of subgrad 1094.916752 dualbound = 2821664.693947, lowerbound=1197323.693947, norm of subgrad 41.084090 stepsize= 1.000000
+dualbound = 2821764.611949, lowerbound=1197863.611949, norm of subgrad 1095.153237 dualbound = 2821764.611949, lowerbound=1197863.611949, norm of subgrad 39.961456 stepsize= 1.000000
+dualbound = 2821942.277269, lowerbound=1192435.277269, norm of subgrad 1092.680318 dualbound = 2821942.277269, lowerbound=1192435.277269, norm of subgrad 41.142014 stepsize= 1.000000
+dualbound = 2822057.416602, lowerbound=1193206.416602, norm of subgrad 1093.009797 dualbound = 2822057.416602, lowerbound=1193206.416602, norm of subgrad 39.738386 stepsize= 1.000000
+dualbound = 2822273.941882, lowerbound=1191659.941882, norm of subgrad 1092.310369 dualbound = 2822273.941882, lowerbound=1191659.941882, norm of subgrad 41.213169 stepsize= 1.000000
+dualbound = 2822364.585431, lowerbound=1194212.585431, norm of subgrad 1093.487808 dualbound = 2822364.585431, lowerbound=1194212.585431, norm of subgrad 39.920465 stepsize= 1.000000
+dualbound = 2822520.103346, lowerbound=1196591.103346, norm of subgrad 1094.570739 dualbound = 2822520.103346, lowerbound=1196591.103346, norm of subgrad 40.614258 stepsize= 1.000000
+dualbound = 2822692.824516, lowerbound=1190482.824516, norm of subgrad 1091.721954 dualbound = 2822692.824516, lowerbound=1190482.824516, norm of subgrad 39.328376 stepsize= 1.000000
+dualbound = 2822846.414402, lowerbound=1196324.414402, norm of subgrad 1094.427894 dualbound = 2822846.414402, lowerbound=1196324.414402, norm of subgrad 40.019869 stepsize= 1.000000
+dualbound = 2822974.244928, lowerbound=1195960.244928, norm of subgrad 1094.259679 dualbound = 2822974.244928, lowerbound=1195960.244928, norm of subgrad 39.646318 stepsize= 1.000000
+dualbound = 2823130.961965, lowerbound=1190235.961965, norm of subgrad 1091.645529 dualbound = 2823130.961965, lowerbound=1190235.961965, norm of subgrad 40.133739 stepsize= 1.000000
+dualbound = 2823270.026155, lowerbound=1191703.026155, norm of subgrad 1092.315900 dualbound = 2823270.026155, lowerbound=1191703.026155, norm of subgrad 39.875609 stepsize= 1.000000
+dualbound = 2823431.957207, lowerbound=1195999.957207, norm of subgrad 1094.253150 dualbound = 2823431.957207, lowerbound=1195999.957207, norm of subgrad 39.394556 stepsize= 1.000000
+dualbound = 2823577.343651, lowerbound=1197339.343651, norm of subgrad 1094.875492 dualbound = 2823577.343651, lowerbound=1197339.343651, norm of subgrad 39.476404 stepsize= 1.000000
+dualbound = 2823739.084752, lowerbound=1193350.084752, norm of subgrad 1093.034805 dualbound = 2823739.084752, lowerbound=1193350.084752, norm of subgrad 39.201290 stepsize= 1.000000
+dualbound = 2823893.377307, lowerbound=1197644.377307, norm of subgrad 1095.002912 dualbound = 2823893.377307, lowerbound=1197644.377307, norm of subgrad 39.259299 stepsize= 1.000000
+dualbound = 2824017.537359, lowerbound=1193112.537359, norm of subgrad 1092.952212 dualbound = 2824017.537359, lowerbound=1193112.537359, norm of subgrad 39.448195 stepsize= 1.000000
+dualbound = 2824173.217175, lowerbound=1194412.217175, norm of subgrad 1093.538393 dualbound = 2824173.217175, lowerbound=1194412.217175, norm of subgrad 39.619185 stepsize= 1.000000
+dualbound = 2824305.273014, lowerbound=1192953.273014, norm of subgrad 1092.911375 dualbound = 2824305.273014, lowerbound=1192953.273014, norm of subgrad 40.423457 stepsize= 1.000000
+dualbound = 2824434.074018, lowerbound=1195556.074018, norm of subgrad 1094.093266 dualbound = 2824434.074018, lowerbound=1195556.074018, norm of subgrad 40.159694 stepsize= 1.000000
+dualbound = 2824619.169792, lowerbound=1190841.169792, norm of subgrad 1091.923610 dualbound = 2824619.169792, lowerbound=1190841.169792, norm of subgrad 40.510440 stepsize= 1.000000
+dualbound = 2824727.076574, lowerbound=1195611.076574, norm of subgrad 1094.095552 dualbound = 2824727.076574, lowerbound=1195611.076574, norm of subgrad 39.267121 stepsize= 1.000000
+dualbound = 2824910.495102, lowerbound=1195451.495102, norm of subgrad 1094.019879 dualbound = 2824910.495102, lowerbound=1195451.495102, norm of subgrad 40.142478 stepsize= 1.000000
+dualbound = 2825032.398499, lowerbound=1194897.398499, norm of subgrad 1093.793581 dualbound = 2825032.398499, lowerbound=1194897.398499, norm of subgrad 40.111138 stepsize= 1.000000
+dualbound = 2825195.426933, lowerbound=1189406.426933, norm of subgrad 1091.236192 dualbound = 2825195.426933, lowerbound=1189406.426933, norm of subgrad 39.408482 stepsize= 1.000000
+dualbound = 2825348.206009, lowerbound=1196705.206009, norm of subgrad 1094.604589 dualbound = 2825348.206009, lowerbound=1196705.206009, norm of subgrad 40.084649 stepsize= 1.000000
+dualbound = 2825482.861303, lowerbound=1194287.861303, norm of subgrad 1093.535487 dualbound = 2825482.861303, lowerbound=1194287.861303, norm of subgrad 40.824690 stepsize= 1.000000
+dualbound = 2825601.153805, lowerbound=1197164.153805, norm of subgrad 1094.836131 dualbound = 2825601.153805, lowerbound=1197164.153805, norm of subgrad 40.252857 stepsize= 1.000000
+dualbound = 2825767.301196, lowerbound=1196217.301196, norm of subgrad 1094.383526 dualbound = 2825767.301196, lowerbound=1196217.301196, norm of subgrad 40.300712 stepsize= 1.000000
+dualbound = 2825907.546920, lowerbound=1191463.546920, norm of subgrad 1092.214057 dualbound = 2825907.546920, lowerbound=1191463.546920, norm of subgrad 40.102939 stepsize= 1.000000
+dualbound = 2826076.336843, lowerbound=1192080.336843, norm of subgrad 1092.497751 dualbound = 2826076.336843, lowerbound=1192080.336843, norm of subgrad 40.494320 stepsize= 1.000000
+dualbound = 2826205.187752, lowerbound=1194749.187752, norm of subgrad 1093.713942 dualbound = 2826205.187752, lowerbound=1194749.187752, norm of subgrad 39.872935 stepsize= 1.000000
+dualbound = 2826374.564869, lowerbound=1195526.564869, norm of subgrad 1094.043219 dualbound = 2826374.564869, lowerbound=1195526.564869, norm of subgrad 39.665818 stepsize= 1.000000
+dualbound = 2826503.135674, lowerbound=1195000.135674, norm of subgrad 1093.790261 dualbound = 2826503.135674, lowerbound=1195000.135674, norm of subgrad 38.801686 stepsize= 1.000000
+dualbound = 2826690.017968, lowerbound=1192930.017968, norm of subgrad 1092.852240 dualbound = 2826690.017968, lowerbound=1192930.017968, norm of subgrad 39.785453 stepsize= 1.000000
+dualbound = 2826794.711665, lowerbound=1192591.711665, norm of subgrad 1092.696990 dualbound = 2826794.711665, lowerbound=1192591.711665, norm of subgrad 38.725879 stepsize= 1.000000
+dualbound = 2826978.298381, lowerbound=1194374.298381, norm of subgrad 1093.528828 dualbound = 2826978.298381, lowerbound=1194374.298381, norm of subgrad 40.181920 stepsize= 1.000000
+dualbound = 2827098.050283, lowerbound=1192554.050283, norm of subgrad 1092.699433 dualbound = 2827098.050283, lowerbound=1192554.050283, norm of subgrad 39.468366 stepsize= 1.000000
+dualbound = 2827256.283593, lowerbound=1194733.283593, norm of subgrad 1093.745987 dualbound = 2827256.283593, lowerbound=1194733.283593, norm of subgrad 41.294471 stepsize= 1.000000
+dualbound = 2827365.952610, lowerbound=1196193.952610, norm of subgrad 1094.373315 dualbound = 2827365.952610, lowerbound=1196193.952610, norm of subgrad 39.606426 stepsize= 1.000000
+dualbound = 2827551.769394, lowerbound=1194385.769394, norm of subgrad 1093.536817 dualbound = 2827551.769394, lowerbound=1194385.769394, norm of subgrad 40.284200 stepsize= 1.000000
+dualbound = 2827692.262313, lowerbound=1195177.262313, norm of subgrad 1093.934304 dualbound = 2827692.262313, lowerbound=1195177.262313, norm of subgrad 40.687749 stepsize= 1.000000
+dualbound = 2827817.548403, lowerbound=1189220.548403, norm of subgrad 1091.195468 dualbound = 2827817.548403, lowerbound=1189220.548403, norm of subgrad 40.153282 stepsize= 1.000000
+dualbound = 2827992.258526, lowerbound=1196240.258526, norm of subgrad 1094.362490 dualbound = 2827992.258526, lowerbound=1196240.258526, norm of subgrad 39.543775 stepsize= 1.000000
+dualbound = 2828142.987921, lowerbound=1193335.987921, norm of subgrad 1093.067696 dualbound = 2828142.987921, lowerbound=1193335.987921, norm of subgrad 40.146350 stepsize= 1.000000
+dualbound = 2828265.135054, lowerbound=1196593.135054, norm of subgrad 1094.562075 dualbound = 2828265.135054, lowerbound=1196593.135054, norm of subgrad 39.939293 stepsize= 1.000000
+dualbound = 2828424.417981, lowerbound=1199210.417981, norm of subgrad 1095.752900 dualbound = 2828424.417981, lowerbound=1199210.417981, norm of subgrad 40.289985 stepsize= 1.000000
+dualbound = 2828562.812685, lowerbound=1192330.812685, norm of subgrad 1092.610092 dualbound = 2828562.812685, lowerbound=1192330.812685, norm of subgrad 40.054896 stepsize= 1.000000
+dualbound = 2828715.090990, lowerbound=1196860.090990, norm of subgrad 1094.661176 dualbound = 2828715.090990, lowerbound=1196860.090990, norm of subgrad 39.689776 stepsize= 1.000000
+dualbound = 2828867.546407, lowerbound=1194372.546407, norm of subgrad 1093.513853 dualbound = 2828867.546407, lowerbound=1194372.546407, norm of subgrad 39.401211 stepsize= 1.000000
+dualbound = 2829005.331318, lowerbound=1195623.331318, norm of subgrad 1094.148222 dualbound = 2829005.331318, lowerbound=1195623.331318, norm of subgrad 40.924136 stepsize= 1.000000
+dualbound = 2829137.511323, lowerbound=1197265.511323, norm of subgrad 1094.877396 dualbound = 2829137.511323, lowerbound=1197265.511323, norm of subgrad 40.288708 stepsize= 1.000000
+dualbound = 2829300.415812, lowerbound=1194396.415812, norm of subgrad 1093.538484 dualbound = 2829300.415812, lowerbound=1194396.415812, norm of subgrad 39.911208 stepsize= 1.000000
+dualbound = 2829455.057967, lowerbound=1197579.057967, norm of subgrad 1095.017378 dualbound = 2829455.057967, lowerbound=1197579.057967, norm of subgrad 40.480145 stepsize= 1.000000
+dualbound = 2829607.344886, lowerbound=1193881.344886, norm of subgrad 1093.279628 dualbound = 2829607.344886, lowerbound=1193881.344886, norm of subgrad 39.131661 stepsize= 1.000000
+dualbound = 2829751.983471, lowerbound=1193998.983471, norm of subgrad 1093.356750 dualbound = 2829751.983471, lowerbound=1193998.983471, norm of subgrad 39.681716 stepsize= 1.000000
+dualbound = 2829909.555176, lowerbound=1195975.555176, norm of subgrad 1094.240629 dualbound = 2829909.555176, lowerbound=1195975.555176, norm of subgrad 39.301039 stepsize= 1.000000
+dualbound = 2830025.778213, lowerbound=1193065.778213, norm of subgrad 1092.961929 dualbound = 2830025.778213, lowerbound=1193065.778213, norm of subgrad 40.202277 stepsize= 1.000000
+dualbound = 2830166.131827, lowerbound=1195432.131827, norm of subgrad 1094.023369 dualbound = 2830166.131827, lowerbound=1195432.131827, norm of subgrad 39.941878 stepsize= 1.000000
+dualbound = 2830318.170118, lowerbound=1192484.170118, norm of subgrad 1092.668372 dualbound = 2830318.170118, lowerbound=1192484.170118, norm of subgrad 39.900355 stepsize= 1.000000
+dualbound = 2830489.380037, lowerbound=1196720.380037, norm of subgrad 1094.599644 dualbound = 2830489.380037, lowerbound=1196720.380037, norm of subgrad 39.990123 stepsize= 1.000000
+dualbound = 2830615.359920, lowerbound=1196146.359920, norm of subgrad 1094.331924 dualbound = 2830615.359920, lowerbound=1196146.359920, norm of subgrad 39.268052 stepsize= 1.000000
+dualbound = 2830781.084706, lowerbound=1194575.084706, norm of subgrad 1093.593199 dualbound = 2830781.084706, lowerbound=1194575.084706, norm of subgrad 39.201081 stepsize= 1.000000
+dualbound = 2830926.930922, lowerbound=1196459.930922, norm of subgrad 1094.458739 dualbound = 2830926.930922, lowerbound=1196459.930922, norm of subgrad 39.062082 stepsize= 1.000000
+dualbound = 2831078.693214, lowerbound=1195395.693214, norm of subgrad 1094.005801 dualbound = 2831078.693214, lowerbound=1195395.693214, norm of subgrad 40.059484 stepsize= 1.000000
+dualbound = 2831224.405258, lowerbound=1196076.405258, norm of subgrad 1094.320522 dualbound = 2831224.405258, lowerbound=1196076.405258, norm of subgrad 40.083813 stepsize= 1.000000
+dualbound = 2831331.047857, lowerbound=1190876.047857, norm of subgrad 1091.952402 dualbound = 2831331.047857, lowerbound=1190876.047857, norm of subgrad 39.882861 stepsize= 1.000000
+dualbound = 2831516.227716, lowerbound=1197291.227716, norm of subgrad 1094.850322 dualbound = 2831516.227716, lowerbound=1197291.227716, norm of subgrad 39.889596 stepsize= 1.000000
+dualbound = 2831651.492278, lowerbound=1198410.492278, norm of subgrad 1095.390110 dualbound = 2831651.492278, lowerbound=1198410.492278, norm of subgrad 40.053272 stepsize= 1.000000
+dualbound = 2831804.435225, lowerbound=1193670.435225, norm of subgrad 1093.218384 dualbound = 2831804.435225, lowerbound=1193670.435225, norm of subgrad 40.111631 stepsize= 1.000000
+dualbound = 2831927.890682, lowerbound=1196282.890682, norm of subgrad 1094.389277 dualbound = 2831927.890682, lowerbound=1196282.890682, norm of subgrad 39.095466 stepsize= 1.000000
+dualbound = 2832115.364357, lowerbound=1195874.364357, norm of subgrad 1094.191649 dualbound = 2832115.364357, lowerbound=1195874.364357, norm of subgrad 39.603960 stepsize= 1.000000
+dualbound = 2832255.669438, lowerbound=1194932.669438, norm of subgrad 1093.764449 dualbound = 2832255.669438, lowerbound=1194932.669438, norm of subgrad 39.093543 stepsize= 1.000000
+dualbound = 2832379.622112, lowerbound=1200575.622112, norm of subgrad 1096.406230 dualbound = 2832379.622112, lowerbound=1200575.622112, norm of subgrad 40.681110 stepsize= 1.000000
+dualbound = 2832490.231400, lowerbound=1194689.231400, norm of subgrad 1093.709848 dualbound = 2832490.231400, lowerbound=1194689.231400, norm of subgrad 40.281625 stepsize= 1.000000
+dualbound = 2832678.022275, lowerbound=1192726.022275, norm of subgrad 1092.783612 dualbound = 2832678.022275, lowerbound=1192726.022275, norm of subgrad 40.469629 stepsize= 1.000000
+dualbound = 2832815.722175, lowerbound=1199436.722175, norm of subgrad 1095.828327 dualbound = 2832815.722175, lowerbound=1199436.722175, norm of subgrad 39.251750 stepsize= 1.000000
+dualbound = 2832971.446349, lowerbound=1193168.446349, norm of subgrad 1092.946223 dualbound = 2832971.446349, lowerbound=1193168.446349, norm of subgrad 38.970812 stepsize= 1.000000
+dualbound = 2833122.356386, lowerbound=1194946.356386, norm of subgrad 1093.783505 dualbound = 2833122.356386, lowerbound=1194946.356386, norm of subgrad 39.584214 stepsize= 1.000000
+dualbound = 2833247.148575, lowerbound=1191796.148575, norm of subgrad 1092.334266 dualbound = 2833247.148575, lowerbound=1191796.148575, norm of subgrad 39.022970 stepsize= 1.000000
+dualbound = 2833438.159650, lowerbound=1197348.159650, norm of subgrad 1094.820606 dualbound = 2833438.159650, lowerbound=1197348.159650, norm of subgrad 38.405873 stepsize= 1.000000
+dualbound = 2833595.353927, lowerbound=1193763.353927, norm of subgrad 1093.254021 dualbound = 2833595.353927, lowerbound=1193763.353927, norm of subgrad 39.977422 stepsize= 1.000000
+dualbound = 2833676.611221, lowerbound=1198112.611221, norm of subgrad 1095.249109 dualbound = 2833676.611221, lowerbound=1198112.611221, norm of subgrad 39.233370 stepsize= 1.000000
+dualbound = 2833847.375553, lowerbound=1199161.375553, norm of subgrad 1095.718201 dualbound = 2833847.375553, lowerbound=1199161.375553, norm of subgrad 40.096937 stepsize= 1.000000
+dualbound = 2833973.449098, lowerbound=1192840.449098, norm of subgrad 1092.857012 dualbound = 2833973.449098, lowerbound=1192840.449098, norm of subgrad 40.274974 stepsize= 1.000000
+dualbound = 2834133.281810, lowerbound=1197209.281810, norm of subgrad 1094.843496 dualbound = 2834133.281810, lowerbound=1197209.281810, norm of subgrad 40.408325 stepsize= 1.000000
+dualbound = 2834256.504697, lowerbound=1193466.504697, norm of subgrad 1093.169477 dualbound = 2834256.504697, lowerbound=1193466.504697, norm of subgrad 40.941701 stepsize= 1.000000
+dualbound = 2834410.766577, lowerbound=1195077.766577, norm of subgrad 1093.871458 dualbound = 2834410.766577, lowerbound=1195077.766577, norm of subgrad 40.388883 stepsize= 1.000000
+dualbound = 2834560.493704, lowerbound=1196272.493704, norm of subgrad 1094.404173 dualbound = 2834560.493704, lowerbound=1196272.493704, norm of subgrad 39.971579 stepsize= 1.000000
+dualbound = 2834712.835534, lowerbound=1198576.835534, norm of subgrad 1095.450974 dualbound = 2834712.835534, lowerbound=1198576.835534, norm of subgrad 39.854006 stepsize= 1.000000
+dualbound = 2834843.769247, lowerbound=1194976.769247, norm of subgrad 1093.823463 dualbound = 2834843.769247, lowerbound=1194976.769247, norm of subgrad 40.049141 stepsize= 1.000000
+dualbound = 2835012.486832, lowerbound=1196476.486832, norm of subgrad 1094.468130 dualbound = 2835012.486832, lowerbound=1196476.486832, norm of subgrad 39.404538 stepsize= 1.000000
+dualbound = 2835174.504352, lowerbound=1191549.504352, norm of subgrad 1092.203966 dualbound = 2835174.504352, lowerbound=1191549.504352, norm of subgrad 39.013043 stepsize= 1.000000
+dualbound = 2835292.862738, lowerbound=1192671.862738, norm of subgrad 1092.785369 dualbound = 2835292.862738, lowerbound=1192671.862738, norm of subgrad 40.328134 stepsize= 1.000000
+dualbound = 2835435.494245, lowerbound=1195566.494245, norm of subgrad 1094.077920 dualbound = 2835435.494245, lowerbound=1195566.494245, norm of subgrad 39.782301 stepsize= 1.000000
+dualbound = 2835595.980883, lowerbound=1197732.980883, norm of subgrad 1095.048849 dualbound = 2835595.980883, lowerbound=1197732.980883, norm of subgrad 39.490336 stepsize= 1.000000
+dualbound = 2835731.093828, lowerbound=1193490.093828, norm of subgrad 1093.110284 dualbound = 2835731.093828, lowerbound=1193490.093828, norm of subgrad 39.180517 stepsize= 1.000000
+dualbound = 2835886.713800, lowerbound=1192250.713800, norm of subgrad 1092.566114 dualbound = 2835886.713800, lowerbound=1192250.713800, norm of subgrad 40.070188 stepsize= 1.000000
+dualbound = 2836037.144587, lowerbound=1197122.144587, norm of subgrad 1094.767165 dualbound = 2836037.144587, lowerbound=1197122.144587, norm of subgrad 39.286522 stepsize= 1.000000
+dualbound = 2836178.697072, lowerbound=1196014.697072, norm of subgrad 1094.295982 dualbound = 2836178.697072, lowerbound=1196014.697072, norm of subgrad 40.131689 stepsize= 1.000000
+dualbound = 2836314.336612, lowerbound=1195093.336612, norm of subgrad 1093.856177 dualbound = 2836314.336612, lowerbound=1195093.336612, norm of subgrad 39.542882 stepsize= 1.000000
+dualbound = 2836471.868966, lowerbound=1196401.868966, norm of subgrad 1094.458710 dualbound = 2836471.868966, lowerbound=1196401.868966, norm of subgrad 39.944115 stepsize= 1.000000
+dualbound = 2836606.089885, lowerbound=1197435.089885, norm of subgrad 1094.910083 dualbound = 2836606.089885, lowerbound=1197435.089885, norm of subgrad 39.079674 stepsize= 1.000000
+dualbound = 2836788.968038, lowerbound=1198992.968038, norm of subgrad 1095.629028 dualbound = 2836788.968038, lowerbound=1198992.968038, norm of subgrad 39.910878 stepsize= 1.000000
+dualbound = 2836881.678565, lowerbound=1199599.678565, norm of subgrad 1095.956513 dualbound = 2836881.678565, lowerbound=1199599.678565, norm of subgrad 40.171016 stepsize= 1.000000
+dualbound = 2837038.220893, lowerbound=1191745.220893, norm of subgrad 1092.324687 dualbound = 2837038.220893, lowerbound=1191745.220893, norm of subgrad 39.806310 stepsize= 1.000000
+dualbound = 2837212.544456, lowerbound=1193437.544456, norm of subgrad 1093.109576 dualbound = 2837212.544456, lowerbound=1193437.544456, norm of subgrad 40.315302 stepsize= 1.000000
+dualbound = 2837324.465282, lowerbound=1197044.465282, norm of subgrad 1094.766854 dualbound = 2837324.465282, lowerbound=1197044.465282, norm of subgrad 39.773368 stepsize= 1.000000
+dualbound = 2837488.344066, lowerbound=1195752.344066, norm of subgrad 1094.162394 dualbound = 2837488.344066, lowerbound=1195752.344066, norm of subgrad 40.035969 stepsize= 1.000000
+dualbound = 2837648.863102, lowerbound=1195712.863102, norm of subgrad 1094.129272 dualbound = 2837648.863102, lowerbound=1195712.863102, norm of subgrad 39.579275 stepsize= 1.000000
+dualbound = 2837795.729991, lowerbound=1198119.729991, norm of subgrad 1095.213555 dualbound = 2837795.729991, lowerbound=1198119.729991, norm of subgrad 38.985470 stepsize= 1.000000
+dualbound = 2837946.401354, lowerbound=1194281.401354, norm of subgrad 1093.487723 dualbound = 2837946.401354, lowerbound=1194281.401354, norm of subgrad 39.807931 stepsize= 1.000000
+dualbound = 2838066.088425, lowerbound=1196212.088425, norm of subgrad 1094.393480 dualbound = 2838066.088425, lowerbound=1196212.088425, norm of subgrad 40.058546 stepsize= 1.000000
+dualbound = 2838228.138983, lowerbound=1196153.138983, norm of subgrad 1094.359237 dualbound = 2838228.138983, lowerbound=1196153.138983, norm of subgrad 40.386267 stepsize= 1.000000
+dualbound = 2838371.250719, lowerbound=1193541.250719, norm of subgrad 1093.143289 dualbound = 2838371.250719, lowerbound=1193541.250719, norm of subgrad 39.548853 stepsize= 1.000000
+dualbound = 2838542.962112, lowerbound=1197893.962112, norm of subgrad 1095.113675 dualbound = 2838542.962112, lowerbound=1197893.962112, norm of subgrad 39.391768 stepsize= 1.000000
+dualbound = 2838672.089124, lowerbound=1197814.089124, norm of subgrad 1095.073554 dualbound = 2838672.089124, lowerbound=1197814.089124, norm of subgrad 38.744380 stepsize= 1.000000
+dualbound = 2838844.226765, lowerbound=1196195.226765, norm of subgrad 1094.344199 dualbound = 2838844.226765, lowerbound=1196195.226765, norm of subgrad 39.574457 stepsize= 1.000000
+dualbound = 2838934.956412, lowerbound=1197698.956412, norm of subgrad 1095.062535 dualbound = 2838934.956412, lowerbound=1197698.956412, norm of subgrad 39.417377 stepsize= 1.000000
+dualbound = 2839085.124119, lowerbound=1193878.124119, norm of subgrad 1093.310168 dualbound = 2839085.124119, lowerbound=1193878.124119, norm of subgrad 39.989595 stepsize= 1.000000
+dualbound = 2839222.522704, lowerbound=1197253.522704, norm of subgrad 1094.856850 dualbound = 2839222.522704, lowerbound=1197253.522704, norm of subgrad 39.942441 stepsize= 1.000000
+dualbound = 2839387.085271, lowerbound=1199543.085271, norm of subgrad 1095.932062 dualbound = 2839387.085271, lowerbound=1199543.085271, norm of subgrad 41.092123 stepsize= 1.000000
+dualbound = 2839505.012844, lowerbound=1196204.012844, norm of subgrad 1094.378825 dualbound = 2839505.012844, lowerbound=1196204.012844, norm of subgrad 39.735722 stepsize= 1.000000
+dualbound = 2839716.432825, lowerbound=1197402.432825, norm of subgrad 1094.886493 dualbound = 2839716.432825, lowerbound=1197402.432825, norm of subgrad 39.817333 stepsize= 1.000000
+dualbound = 2839843.577540, lowerbound=1191537.577540, norm of subgrad 1092.227805 dualbound = 2839843.577540, lowerbound=1191537.577540, norm of subgrad 39.384575 stepsize= 1.000000
+dualbound = 2839968.282685, lowerbound=1200112.282685, norm of subgrad 1096.137438 dualbound = 2839968.282685, lowerbound=1200112.282685, norm of subgrad 39.111445 stepsize= 1.000000
+dualbound = 2840133.727205, lowerbound=1198170.727205, norm of subgrad 1095.230445 dualbound = 2840133.727205, lowerbound=1198170.727205, norm of subgrad 39.044136 stepsize= 1.000000
+dualbound = 2840252.647739, lowerbound=1190047.647739, norm of subgrad 1091.562480 dualbound = 2840252.647739, lowerbound=1190047.647739, norm of subgrad 39.748214 stepsize= 1.000000
+dualbound = 2840424.536774, lowerbound=1192378.536774, norm of subgrad 1092.620948 dualbound = 2840424.536774, lowerbound=1192378.536774, norm of subgrad 40.173238 stepsize= 1.000000
+dualbound = 2840522.545206, lowerbound=1195296.545206, norm of subgrad 1093.963228 dualbound = 2840522.545206, lowerbound=1195296.545206, norm of subgrad 39.458946 stepsize= 1.000000
+dualbound = 2840686.070844, lowerbound=1200395.070844, norm of subgrad 1096.312944 dualbound = 2840686.070844, lowerbound=1200395.070844, norm of subgrad 40.872064 stepsize= 1.000000
+dualbound = 2840830.515860, lowerbound=1196526.515860, norm of subgrad 1094.496467 dualbound = 2840830.515860, lowerbound=1196526.515860, norm of subgrad 39.248503 stepsize= 1.000000
+dualbound = 2841014.855204, lowerbound=1196808.855204, norm of subgrad 1094.609453 dualbound = 2841014.855204, lowerbound=1196808.855204, norm of subgrad 39.310804 stepsize= 1.000000
+dualbound = 2841155.517722, lowerbound=1197874.517722, norm of subgrad 1095.107537 dualbound = 2841155.517722, lowerbound=1197874.517722, norm of subgrad 39.072529 stepsize= 1.000000
+dualbound = 2841284.511113, lowerbound=1194192.511113, norm of subgrad 1093.456223 dualbound = 2841284.511113, lowerbound=1194192.511113, norm of subgrad 39.786849 stepsize= 1.000000
+dualbound = 2841415.421661, lowerbound=1195695.421661, norm of subgrad 1094.162886 dualbound = 2841415.421661, lowerbound=1195695.421661, norm of subgrad 40.347373 stepsize= 1.000000
+dualbound = 2841557.937505, lowerbound=1195797.937505, norm of subgrad 1094.175917 dualbound = 2841557.937505, lowerbound=1195797.937505, norm of subgrad 39.566600 stepsize= 1.000000
+dualbound = 2841721.163231, lowerbound=1201975.163231, norm of subgrad 1097.028789 dualbound = 2841721.163231, lowerbound=1201975.163231, norm of subgrad 40.745868 stepsize= 1.000000
+dualbound = 2841848.596729, lowerbound=1199188.596729, norm of subgrad 1095.741574 dualbound = 2841848.596729, lowerbound=1199188.596729, norm of subgrad 39.855156 stepsize= 1.000000
+dualbound = 2841974.841238, lowerbound=1197925.841238, norm of subgrad 1095.192605 dualbound = 2841974.841238, lowerbound=1197925.841238, norm of subgrad 40.586260 stepsize= 1.000000
+dualbound = 2842112.645381, lowerbound=1197214.645381, norm of subgrad 1094.859646 dualbound = 2842112.645381, lowerbound=1197214.645381, norm of subgrad 40.506841 stepsize= 1.000000
+dualbound = 2842269.502650, lowerbound=1196404.502650, norm of subgrad 1094.468594 dualbound = 2842269.502650, lowerbound=1196404.502650, norm of subgrad 40.172842 stepsize= 1.000000
+dualbound = 2842450.914957, lowerbound=1194526.914957, norm of subgrad 1093.548771 dualbound = 2842450.914957, lowerbound=1194526.914957, norm of subgrad 38.773861 stepsize= 1.000000
+dualbound = 2842597.607329, lowerbound=1198051.607329, norm of subgrad 1095.193411 dualbound = 2842597.607329, lowerbound=1198051.607329, norm of subgrad 39.289851 stepsize= 1.000000
+dualbound = 2842715.049908, lowerbound=1195022.049908, norm of subgrad 1093.842790 dualbound = 2842715.049908, lowerbound=1195022.049908, norm of subgrad 39.842723 stepsize= 1.000000
+dualbound = 2842873.694492, lowerbound=1195411.694492, norm of subgrad 1093.989805 dualbound = 2842873.694492, lowerbound=1195411.694492, norm of subgrad 39.504994 stepsize= 1.000000
+dualbound = 2843005.355560, lowerbound=1198316.355560, norm of subgrad 1095.298295 dualbound = 2843005.355560, lowerbound=1198316.355560, norm of subgrad 38.647912 stepsize= 1.000000
+dualbound = 2843172.576435, lowerbound=1193379.576435, norm of subgrad 1093.071625 dualbound = 2843172.576435, lowerbound=1193379.576435, norm of subgrad 39.915171 stepsize= 1.000000
+dualbound = 2843296.619181, lowerbound=1198372.619181, norm of subgrad 1095.355933 dualbound = 2843296.619181, lowerbound=1198372.619181, norm of subgrad 39.446708 stepsize= 1.000000
+dualbound = 2843443.018535, lowerbound=1199514.018535, norm of subgrad 1095.871808 dualbound = 2843443.018535, lowerbound=1199514.018535, norm of subgrad 39.590395 stepsize= 1.000000
+dualbound = 2843604.602459, lowerbound=1197176.602459, norm of subgrad 1094.788839 dualbound = 2843604.602459, lowerbound=1197176.602459, norm of subgrad 39.339343 stepsize= 1.000000
+dualbound = 2843755.324508, lowerbound=1195354.324508, norm of subgrad 1094.012488 dualbound = 2843755.324508, lowerbound=1195354.324508, norm of subgrad 40.739686 stepsize= 1.000000
+dualbound = 2843866.870209, lowerbound=1196193.870209, norm of subgrad 1094.371907 dualbound = 2843866.870209, lowerbound=1196193.870209, norm of subgrad 39.592243 stepsize= 1.000000
+dualbound = 2844017.283174, lowerbound=1198876.283174, norm of subgrad 1095.607267 dualbound = 2844017.283174, lowerbound=1198876.283174, norm of subgrad 40.365988 stepsize= 1.000000
+dualbound = 2844191.511106, lowerbound=1198880.511106, norm of subgrad 1095.588203 dualbound = 2844191.511106, lowerbound=1198880.511106, norm of subgrad 40.090247 stepsize= 1.000000
+dualbound = 2844338.782426, lowerbound=1198848.782426, norm of subgrad 1095.562313 dualbound = 2844338.782426, lowerbound=1198848.782426, norm of subgrad 39.436928 stepsize= 1.000000
+dualbound = 2844441.980632, lowerbound=1190221.980632, norm of subgrad 1091.646454 dualbound = 2844441.980632, lowerbound=1190221.980632, norm of subgrad 39.663563 stepsize= 1.000000
+dualbound = 2844612.156999, lowerbound=1196996.156999, norm of subgrad 1094.745248 dualbound = 2844612.156999, lowerbound=1196996.156999, norm of subgrad 40.511435 stepsize= 1.000000
+dualbound = 2844744.193713, lowerbound=1195761.193713, norm of subgrad 1094.191114 dualbound = 2844744.193713, lowerbound=1195761.193713, norm of subgrad 40.311744 stepsize= 1.000000
+dualbound = 2844900.908956, lowerbound=1202419.908956, norm of subgrad 1097.210057 dualbound = 2844900.908956, lowerbound=1202419.908956, norm of subgrad 40.083853 stepsize= 1.000000
+dualbound = 2845050.828668, lowerbound=1197250.828668, norm of subgrad 1094.829132 dualbound = 2845050.828668, lowerbound=1197250.828668, norm of subgrad 39.369020 stepsize= 1.000000
+dualbound = 2845197.202377, lowerbound=1199179.202377, norm of subgrad 1095.695305 dualbound = 2845197.202377, lowerbound=1199179.202377, norm of subgrad 38.927801 stepsize= 1.000000
+dualbound = 2845343.383556, lowerbound=1194104.383556, norm of subgrad 1093.394432 dualbound = 2845343.383556, lowerbound=1194104.383556, norm of subgrad 39.410420 stepsize= 1.000000
+dualbound = 2845505.491129, lowerbound=1199457.491129, norm of subgrad 1095.838260 dualbound = 2845505.491129, lowerbound=1199457.491129, norm of subgrad 39.574077 stepsize= 1.000000
+dualbound = 2845617.262056, lowerbound=1197996.262056, norm of subgrad 1095.205580 dualbound = 2845617.262056, lowerbound=1197996.262056, norm of subgrad 39.884470 stepsize= 1.000000
+dualbound = 2845736.942295, lowerbound=1200144.942295, norm of subgrad 1096.161914 dualbound = 2845736.942295, lowerbound=1200144.942295, norm of subgrad 39.315140 stepsize= 1.000000
+dualbound = 2845929.671698, lowerbound=1198921.671698, norm of subgrad 1095.572303 dualbound = 2845929.671698, lowerbound=1198921.671698, norm of subgrad 39.366603 stepsize= 1.000000
+dualbound = 2846071.388256, lowerbound=1195911.388256, norm of subgrad 1094.213137 dualbound = 2846071.388256, lowerbound=1195911.388256, norm of subgrad 39.149924 stepsize= 1.000000
+dualbound = 2846209.308099, lowerbound=1196617.308099, norm of subgrad 1094.541597 dualbound = 2846209.308099, lowerbound=1196617.308099, norm of subgrad 39.267287 stepsize= 1.000000
+dualbound = 2846338.616697, lowerbound=1192969.616697, norm of subgrad 1092.878134 dualbound = 2846338.616697, lowerbound=1192969.616697, norm of subgrad 39.272237 stepsize= 1.000000
+dualbound = 2846476.642661, lowerbound=1198837.642661, norm of subgrad 1095.579136 dualbound = 2846476.642661, lowerbound=1198837.642661, norm of subgrad 39.925255 stepsize= 1.000000
+dualbound = 2846640.136139, lowerbound=1191769.136139, norm of subgrad 1092.310000 dualbound = 2846640.136139, lowerbound=1191769.136139, norm of subgrad 39.185373 stepsize= 1.000000
+dualbound = 2846769.698076, lowerbound=1193108.698076, norm of subgrad 1092.946338 dualbound = 2846769.698076, lowerbound=1193108.698076, norm of subgrad 39.402563 stepsize= 1.000000
+dualbound = 2846942.686258, lowerbound=1198428.686258, norm of subgrad 1095.377874 dualbound = 2846942.686258, lowerbound=1198428.686258, norm of subgrad 39.962335 stepsize= 1.000000
+dualbound = 2847052.675890, lowerbound=1196499.675890, norm of subgrad 1094.504763 dualbound = 2847052.675890, lowerbound=1196499.675890, norm of subgrad 39.382606 stepsize= 1.000000
+dualbound = 2847208.142651, lowerbound=1198161.142651, norm of subgrad 1095.246156 dualbound = 2847208.142651, lowerbound=1198161.142651, norm of subgrad 39.477421 stepsize= 1.000000
+dualbound = 2847355.419969, lowerbound=1195502.419969, norm of subgrad 1094.045438 dualbound = 2847355.419969, lowerbound=1195502.419969, norm of subgrad 39.752702 stepsize= 1.000000
+dualbound = 2847509.497543, lowerbound=1203517.497543, norm of subgrad 1097.717859 dualbound = 2847509.497543, lowerbound=1203517.497543, norm of subgrad 40.262608 stepsize= 1.000000
+dualbound = 2847652.972694, lowerbound=1200522.972694, norm of subgrad 1096.359418 dualbound = 2847652.972694, lowerbound=1200522.972694, norm of subgrad 40.304778 stepsize= 1.000000
+dualbound = 2847783.296870, lowerbound=1194775.296870, norm of subgrad 1093.698906 dualbound = 2847783.296870, lowerbound=1194775.296870, norm of subgrad 39.144913 stepsize= 1.000000
+dualbound = 2847925.478451, lowerbound=1196432.478451, norm of subgrad 1094.458075 dualbound = 2847925.478451, lowerbound=1196432.478451, norm of subgrad 39.346939 stepsize= 1.000000
+dualbound = 2848065.649367, lowerbound=1194970.649367, norm of subgrad 1093.811067 dualbound = 2848065.649367, lowerbound=1194970.649367, norm of subgrad 39.902016 stepsize= 1.000000
+dualbound = 2848190.078370, lowerbound=1197723.078370, norm of subgrad 1095.100031 dualbound = 2848190.078370, lowerbound=1197723.078370, norm of subgrad 40.563888 stepsize= 1.000000
+dualbound = 2848350.658965, lowerbound=1199183.658965, norm of subgrad 1095.727000 dualbound = 2848350.658965, lowerbound=1199183.658965, norm of subgrad 39.932200 stepsize= 1.000000
+dualbound = 2848491.439719, lowerbound=1196623.439719, norm of subgrad 1094.547596 dualbound = 2848491.439719, lowerbound=1196623.439719, norm of subgrad 39.392648 stepsize= 1.000000
+dualbound = 2848658.683611, lowerbound=1197976.683611, norm of subgrad 1095.138203 dualbound = 2848658.683611, lowerbound=1197976.683611, norm of subgrad 38.964649 stepsize= 1.000000
+dualbound = 2848816.550923, lowerbound=1200227.550923, norm of subgrad 1096.171771 dualbound = 2848816.550923, lowerbound=1200227.550923, norm of subgrad 39.023933 stepsize= 1.000000
+dualbound = 2848949.823380, lowerbound=1194212.823380, norm of subgrad 1093.437618 dualbound = 2848949.823380, lowerbound=1194212.823380, norm of subgrad 39.067537 stepsize= 1.000000
+dualbound = 2849064.164384, lowerbound=1203023.164384, norm of subgrad 1097.466247 dualbound = 2849064.164384, lowerbound=1203023.164384, norm of subgrad 39.030001 stepsize= 1.000000
+dualbound = 2849222.848900, lowerbound=1197794.848900, norm of subgrad 1095.069335 dualbound = 2849222.848900, lowerbound=1197794.848900, norm of subgrad 39.251554 stepsize= 1.000000
+dualbound = 2849345.728625, lowerbound=1196006.728625, norm of subgrad 1094.264926 dualbound = 2849345.728625, lowerbound=1196006.728625, norm of subgrad 39.139235 stepsize= 1.000000
+dualbound = 2849510.454807, lowerbound=1202103.454807, norm of subgrad 1097.067662 dualbound = 2849510.454807, lowerbound=1202103.454807, norm of subgrad 40.233396 stepsize= 1.000000
+dualbound = 2849637.821863, lowerbound=1195734.821863, norm of subgrad 1094.139763 dualbound = 2849637.821863, lowerbound=1195734.821863, norm of subgrad 39.170998 stepsize= 1.000000
+dualbound = 2849787.633273, lowerbound=1197753.633273, norm of subgrad 1095.079282 dualbound = 2849787.633273, lowerbound=1197753.633273, norm of subgrad 39.935090 stepsize= 1.000000
+dualbound = 2849917.501742, lowerbound=1199287.501742, norm of subgrad 1095.776210 dualbound = 2849917.501742, lowerbound=1199287.501742, norm of subgrad 39.596319 stepsize= 1.000000
+dualbound = 2850084.183725, lowerbound=1196896.183725, norm of subgrad 1094.650713 dualbound = 2850084.183725, lowerbound=1196896.183725, norm of subgrad 39.123931 stepsize= 1.000000
+dualbound = 2850240.210861, lowerbound=1193998.210861, norm of subgrad 1093.328958 dualbound = 2850240.210861, lowerbound=1193998.210861, norm of subgrad 39.064397 stepsize= 1.000000
+dualbound = 2850375.604378, lowerbound=1202719.604378, norm of subgrad 1097.318370 dualbound = 2850375.604378, lowerbound=1202719.604378, norm of subgrad 39.030674 stepsize= 1.000000
+dualbound = 2850502.065636, lowerbound=1191024.065636, norm of subgrad 1092.005067 dualbound = 2850502.065636, lowerbound=1191024.065636, norm of subgrad 39.717266 stepsize= 1.000000
+dualbound = 2850631.048495, lowerbound=1197543.048495, norm of subgrad 1095.014634 dualbound = 2850631.048495, lowerbound=1197543.048495, norm of subgrad 40.533725 stepsize= 1.000000
+dualbound = 2850783.503215, lowerbound=1196445.503215, norm of subgrad 1094.491436 dualbound = 2850783.503215, lowerbound=1196445.503215, norm of subgrad 40.230023 stepsize= 1.000000
+dualbound = 2850947.467585, lowerbound=1197661.467585, norm of subgrad 1095.007976 dualbound = 2850947.467585, lowerbound=1197661.467585, norm of subgrad 39.306035 stepsize= 1.000000
+dualbound = 2851086.757375, lowerbound=1197287.757375, norm of subgrad 1094.888011 dualbound = 2851086.757375, lowerbound=1197287.757375, norm of subgrad 40.389229 stepsize= 1.000000
+dualbound = 2851240.424729, lowerbound=1199981.424729, norm of subgrad 1096.075009 dualbound = 2851240.424729, lowerbound=1199981.424729, norm of subgrad 39.403900 stepsize= 1.000000
+dualbound = 2851372.349912, lowerbound=1197246.349912, norm of subgrad 1094.845811 dualbound = 2851372.349912, lowerbound=1197246.349912, norm of subgrad 39.660121 stepsize= 1.000000
+dualbound = 2851532.750349, lowerbound=1207621.750349, norm of subgrad 1099.557525 dualbound = 2851532.750349, lowerbound=1207621.750349, norm of subgrad 39.565142 stepsize= 1.000000
+dualbound = 2851659.474312, lowerbound=1196407.474311, norm of subgrad 1094.472236 dualbound = 2851659.474312, lowerbound=1196407.474311, norm of subgrad 39.858800 stepsize= 1.000000
+dualbound = 2851799.104535, lowerbound=1193925.104535, norm of subgrad 1093.318849 dualbound = 2851799.104535, lowerbound=1193925.104535, norm of subgrad 39.504813 stepsize= 1.000000
+dualbound = 2851928.874075, lowerbound=1197145.874075, norm of subgrad 1094.833263 dualbound = 2851928.874075, lowerbound=1197145.874075, norm of subgrad 40.543428 stepsize= 1.000000
+dualbound = 2852074.148381, lowerbound=1199391.148381, norm of subgrad 1095.851335 dualbound = 2852074.148381, lowerbound=1199391.148381, norm of subgrad 40.549652 stepsize= 1.000000
+dualbound = 2852218.273030, lowerbound=1196484.273030, norm of subgrad 1094.500924 dualbound = 2852218.273030, lowerbound=1196484.273030, norm of subgrad 39.901437 stepsize= 1.000000
+dualbound = 2852382.375660, lowerbound=1197365.375660, norm of subgrad 1094.912497 dualbound = 2852382.375660, lowerbound=1197365.375660, norm of subgrad 40.399290 stepsize= 1.000000
+dualbound = 2852518.003902, lowerbound=1195742.003902, norm of subgrad 1094.162695 dualbound = 2852518.003902, lowerbound=1195742.003902, norm of subgrad 39.819948 stepsize= 1.000000
+dualbound = 2852663.868814, lowerbound=1197762.868814, norm of subgrad 1095.061582 dualbound = 2852663.868814, lowerbound=1197762.868814, norm of subgrad 39.279319 stepsize= 1.000000
+dualbound = 2852855.306227, lowerbound=1200512.306227, norm of subgrad 1096.294808 dualbound = 2852855.306227, lowerbound=1200512.306227, norm of subgrad 39.261144 stepsize= 1.000000
+dualbound = 2852978.157572, lowerbound=1197157.157572, norm of subgrad 1094.795487 dualbound = 2852978.157572, lowerbound=1197157.157572, norm of subgrad 39.279146 stepsize= 1.000000
+dualbound = 2853082.914339, lowerbound=1195846.914339, norm of subgrad 1094.220688 dualbound = 2853082.914339, lowerbound=1195846.914339, norm of subgrad 39.708397 stepsize= 1.000000
+dualbound = 2853245.077568, lowerbound=1203142.077568, norm of subgrad 1097.513589 dualbound = 2853245.077568, lowerbound=1203142.077568, norm of subgrad 39.448235 stepsize= 1.000000
+dualbound = 2853418.600731, lowerbound=1195466.600731, norm of subgrad 1094.003474 dualbound = 2853418.600731, lowerbound=1195466.600731, norm of subgrad 39.376683 stepsize= 1.000000
+dualbound = 2853551.165272, lowerbound=1196552.165272, norm of subgrad 1094.491738 dualbound = 2853551.165272, lowerbound=1196552.165272, norm of subgrad 38.633723 stepsize= 1.000000
+dualbound = 2853685.794242, lowerbound=1197928.794242, norm of subgrad 1095.142363 dualbound = 2853685.794242, lowerbound=1197928.794242, norm of subgrad 39.276316 stepsize= 1.000000
+dualbound = 2853839.553344, lowerbound=1198366.553344, norm of subgrad 1095.338556 dualbound = 2853839.553344, lowerbound=1198366.553344, norm of subgrad 39.417751 stepsize= 1.000000
+dualbound = 2853988.988341, lowerbound=1194405.988341, norm of subgrad 1093.503538 dualbound = 2853988.988341, lowerbound=1194405.988341, norm of subgrad 38.644987 stepsize= 1.000000
+dualbound = 2854135.407405, lowerbound=1198585.407405, norm of subgrad 1095.446670 dualbound = 2854135.407405, lowerbound=1198585.407405, norm of subgrad 39.552738 stepsize= 1.000000
+dualbound = 2854233.980406, lowerbound=1198391.980406, norm of subgrad 1095.358380 dualbound = 2854233.980406, lowerbound=1198391.980406, norm of subgrad 38.943202 stepsize= 1.000000
+dualbound = 2854407.646123, lowerbound=1199437.646123, norm of subgrad 1095.848368 dualbound = 2854407.646123, lowerbound=1199437.646123, norm of subgrad 40.245071 stepsize= 1.000000
+dualbound = 2854548.036390, lowerbound=1194376.036390, norm of subgrad 1093.549741 dualbound = 2854548.036390, lowerbound=1194376.036390, norm of subgrad 40.191918 stepsize= 1.000000
+dualbound = 2854675.463249, lowerbound=1198239.463249, norm of subgrad 1095.326647 dualbound = 2854675.463249, lowerbound=1198239.463249, norm of subgrad 40.353771 stepsize= 1.000000
+dualbound = 2854803.376617, lowerbound=1196830.376617, norm of subgrad 1094.687799 dualbound = 2854803.376617, lowerbound=1196830.376617, norm of subgrad 40.483495 stepsize= 1.000000
+dualbound = 2854968.569587, lowerbound=1199454.569587, norm of subgrad 1095.836470 dualbound = 2854968.569587, lowerbound=1199454.569587, norm of subgrad 39.600416 stepsize= 1.000000
+dualbound = 2855110.908300, lowerbound=1200461.908300, norm of subgrad 1096.304204 dualbound = 2855110.908300, lowerbound=1200461.908300, norm of subgrad 39.539078 stepsize= 1.000000
+dualbound = 2855264.699816, lowerbound=1196730.699816, norm of subgrad 1094.610296 dualbound = 2855264.699816, lowerbound=1196730.699816, norm of subgrad 39.934841 stepsize= 1.000000
+dualbound = 2855390.404701, lowerbound=1199772.404701, norm of subgrad 1095.965969 dualbound = 2855390.404701, lowerbound=1199772.404701, norm of subgrad 38.661413 stepsize= 1.000000
+dualbound = 2855563.360169, lowerbound=1203127.360169, norm of subgrad 1097.517818 dualbound = 2855563.360169, lowerbound=1203127.360169, norm of subgrad 39.886783 stepsize= 1.000000
+dualbound = 2855670.976034, lowerbound=1196556.976034, norm of subgrad 1094.535964 dualbound = 2855670.976034, lowerbound=1196556.976034, norm of subgrad 39.491972 stepsize= 1.000000
+dualbound = 2855850.825031, lowerbound=1193573.825031, norm of subgrad 1093.182430 dualbound = 2855850.825031, lowerbound=1193573.825031, norm of subgrad 40.667542 stepsize= 1.000000
+dualbound = 2855966.837404, lowerbound=1199790.837404, norm of subgrad 1095.983959 dualbound = 2855966.837404, lowerbound=1199790.837404, norm of subgrad 38.807375 stepsize= 1.000000
+dualbound = 2856133.804141, lowerbound=1196151.804141, norm of subgrad 1094.317963 dualbound = 2856133.804141, lowerbound=1196151.804141, norm of subgrad 39.331498 stepsize= 1.000000
+dualbound = 2856286.761046, lowerbound=1197675.761046, norm of subgrad 1095.014503 dualbound = 2856286.761046, lowerbound=1197675.761046, norm of subgrad 39.165762 stepsize= 1.000000
+dualbound = 2856436.114774, lowerbound=1198194.114774, norm of subgrad 1095.231991 dualbound = 2856436.114774, lowerbound=1198194.114774, norm of subgrad 38.579188 stepsize= 1.000000
+dualbound = 2856578.980656, lowerbound=1196261.980656, norm of subgrad 1094.357794 dualbound = 2856578.980656, lowerbound=1196261.980656, norm of subgrad 38.728102 stepsize= 1.000000
+dualbound = 2856713.275535, lowerbound=1196710.275535, norm of subgrad 1094.617867 dualbound = 2856713.275535, lowerbound=1196710.275535, norm of subgrad 40.153392 stepsize= 1.000000
+dualbound = 2856846.684825, lowerbound=1199110.684825, norm of subgrad 1095.677729 dualbound = 2856846.684825, lowerbound=1199110.684825, norm of subgrad 39.146000 stepsize= 1.000000
+dualbound = 2856990.998665, lowerbound=1195194.998665, norm of subgrad 1093.916815 dualbound = 2856990.998665, lowerbound=1195194.998665, norm of subgrad 40.041402 stepsize= 1.000000
+dualbound = 2857102.318517, lowerbound=1200079.318517, norm of subgrad 1096.142016 dualbound = 2857102.318517, lowerbound=1200079.318517, norm of subgrad 39.488224 stepsize= 1.000000
+dualbound = 2857266.963481, lowerbound=1202767.963481, norm of subgrad 1097.382779 dualbound = 2857266.963481, lowerbound=1202767.963481, norm of subgrad 40.566550 stepsize= 1.000000
+dualbound = 2857407.580826, lowerbound=1198352.580826, norm of subgrad 1095.333091 dualbound = 2857407.580826, lowerbound=1198352.580826, norm of subgrad 39.276168 stepsize= 1.000000
+dualbound = 2857561.432360, lowerbound=1197493.432360, norm of subgrad 1094.974170 dualbound = 2857561.432360, lowerbound=1197493.432360, norm of subgrad 40.359033 stepsize= 1.000000
+dualbound = 2857696.389638, lowerbound=1198356.389638, norm of subgrad 1095.365414 dualbound = 2857696.389638, lowerbound=1198356.389638, norm of subgrad 40.049435 stepsize= 1.000000
+dualbound = 2857851.180431, lowerbound=1196454.180431, norm of subgrad 1094.448802 dualbound = 2857851.180431, lowerbound=1196454.180431, norm of subgrad 38.971667 stepsize= 1.000000
+dualbound = 2857970.124903, lowerbound=1199008.124903, norm of subgrad 1095.661045 dualbound = 2857970.124903, lowerbound=1199008.124903, norm of subgrad 39.798800 stepsize= 1.000000
+dualbound = 2858125.297505, lowerbound=1193753.297505, norm of subgrad 1093.250336 dualbound = 2858125.297505, lowerbound=1193753.297505, norm of subgrad 39.977151 stepsize= 1.000000
+dualbound = 2858279.905288, lowerbound=1196790.905288, norm of subgrad 1094.615414 dualbound = 2858279.905288, lowerbound=1196790.905288, norm of subgrad 39.326935 stepsize= 1.000000
+dualbound = 2858421.598311, lowerbound=1199375.598311, norm of subgrad 1095.817776 dualbound = 2858421.598311, lowerbound=1199375.598311, norm of subgrad 39.783075 stepsize= 1.000000
+dualbound = 2858536.067567, lowerbound=1199665.067567, norm of subgrad 1095.965815 dualbound = 2858536.067567, lowerbound=1199665.067567, norm of subgrad 39.880688 stepsize= 1.000000
+dualbound = 2858685.115496, lowerbound=1200656.115496, norm of subgrad 1096.402807 dualbound = 2858685.115496, lowerbound=1200656.115496, norm of subgrad 39.900475 stepsize= 1.000000
+dualbound = 2858857.144809, lowerbound=1202183.144809, norm of subgrad 1097.080282 dualbound = 2858857.144809, lowerbound=1202183.144809, norm of subgrad 39.674038 stepsize= 1.000000
+dualbound = 2858975.027525, lowerbound=1202288.027525, norm of subgrad 1097.147678 dualbound = 2858975.027525, lowerbound=1202288.027525, norm of subgrad 39.533311 stepsize= 1.000000
+dualbound = 2859105.613132, lowerbound=1196273.613132, norm of subgrad 1094.397831 dualbound = 2859105.613132, lowerbound=1196273.613132, norm of subgrad 39.542200 stepsize= 1.000000
+dualbound = 2859272.520364, lowerbound=1193470.520364, norm of subgrad 1093.086694 dualbound = 2859272.520364, lowerbound=1193470.520364, norm of subgrad 39.177892 stepsize= 1.000000
+dualbound = 2859441.109664, lowerbound=1200050.109664, norm of subgrad 1096.093568 dualbound = 2859441.109664, lowerbound=1200050.109664, norm of subgrad 39.237601 stepsize= 1.000000
+dualbound = 2859575.496408, lowerbound=1197000.496408, norm of subgrad 1094.702469 dualbound = 2859575.496408, lowerbound=1197000.496408, norm of subgrad 38.825079 stepsize= 1.000000
+dualbound = 2859725.955083, lowerbound=1203645.955083, norm of subgrad 1097.742208 dualbound = 2859725.955083, lowerbound=1203645.955083, norm of subgrad 39.274148 stepsize= 1.000000
+dualbound = 2859856.129319, lowerbound=1196727.129319, norm of subgrad 1094.624195 dualbound = 2859856.129319, lowerbound=1196727.129319, norm of subgrad 40.064626 stepsize= 1.000000
+dualbound = 2859973.427643, lowerbound=1196591.427643, norm of subgrad 1094.525663 dualbound = 2859973.427643, lowerbound=1196591.427643, norm of subgrad 38.888280 stepsize= 1.000000
+dualbound = 2860145.525567, lowerbound=1193569.525567, norm of subgrad 1093.120545 dualbound = 2860145.525567, lowerbound=1193569.525567, norm of subgrad 38.924259 stepsize= 1.000000
+dualbound = 2860276.475150, lowerbound=1204685.475150, norm of subgrad 1098.207392 dualbound = 2860276.475150, lowerbound=1204685.475150, norm of subgrad 38.793680 stepsize= 1.000000
+dualbound = 2860427.973255, lowerbound=1192097.973255, norm of subgrad 1092.466006 dualbound = 2860427.973255, lowerbound=1192097.973255, norm of subgrad 39.185432 stepsize= 1.000000
+dualbound = 2860584.253028, lowerbound=1204273.253028, norm of subgrad 1098.029259 dualbound = 2860584.253028, lowerbound=1204273.253028, norm of subgrad 39.386289 stepsize= 1.000000
+dualbound = 2860687.622500, lowerbound=1199402.622500, norm of subgrad 1095.840145 dualbound = 2860687.622500, lowerbound=1199402.622500, norm of subgrad 39.577386 stepsize= 1.000000
+dualbound = 2860841.063058, lowerbound=1197811.063058, norm of subgrad 1095.100024 dualbound = 2860841.063058, lowerbound=1197811.063058, norm of subgrad 39.830146 stepsize= 1.000000
+dualbound = 2860984.026731, lowerbound=1199281.026731, norm of subgrad 1095.768236 dualbound = 2860984.026731, lowerbound=1199281.026731, norm of subgrad 39.622767 stepsize= 1.000000
+dualbound = 2861116.616942, lowerbound=1196239.616942, norm of subgrad 1094.401945 dualbound = 2861116.616942, lowerbound=1196239.616942, norm of subgrad 40.107234 stepsize= 1.000000
+dualbound = 2861269.405943, lowerbound=1198259.405943, norm of subgrad 1095.288732 dualbound = 2861269.405943, lowerbound=1198259.405943, norm of subgrad 39.380058 stepsize= 1.000000
+dualbound = 2861414.858429, lowerbound=1203174.858429, norm of subgrad 1097.555857 dualbound = 2861414.858429, lowerbound=1203174.858429, norm of subgrad 39.993155 stepsize= 1.000000
+dualbound = 2861576.002359, lowerbound=1196052.002359, norm of subgrad 1094.313028 dualbound = 2861576.002359, lowerbound=1196052.002359, norm of subgrad 40.375041 stepsize= 1.000000
+dualbound = 2861693.954798, lowerbound=1198518.954798, norm of subgrad 1095.406753 dualbound = 2861693.954798, lowerbound=1198518.954798, norm of subgrad 38.922390 stepsize= 1.000000
+dualbound = 2861862.210622, lowerbound=1198801.210622, norm of subgrad 1095.546992 dualbound = 2861862.210622, lowerbound=1198801.210622, norm of subgrad 39.878012 stepsize= 1.000000
+dualbound = 2861988.071050, lowerbound=1200669.071050, norm of subgrad 1096.414644 dualbound = 2861988.071050, lowerbound=1200669.071050, norm of subgrad 39.772609 stepsize= 1.000000
+dualbound = 2862133.647077, lowerbound=1195255.647077, norm of subgrad 1093.946364 dualbound = 2862133.647077, lowerbound=1195255.647077, norm of subgrad 40.107057 stepsize= 1.000000
+dualbound = 2862268.214567, lowerbound=1196027.214567, norm of subgrad 1094.300788 dualbound = 2862268.214567, lowerbound=1196027.214567, norm of subgrad 40.019589 stepsize= 1.000000
+dualbound = 2862395.636443, lowerbound=1202705.636443, norm of subgrad 1097.357114 dualbound = 2862395.636443, lowerbound=1202705.636443, norm of subgrad 40.179869 stepsize= 1.000000
+dualbound = 2862540.322928, lowerbound=1200478.322928, norm of subgrad 1096.321268 dualbound = 2862540.322928, lowerbound=1200478.322928, norm of subgrad 39.833233 stepsize= 1.000000
+dualbound = 2862714.734017, lowerbound=1196497.734017, norm of subgrad 1094.489257 dualbound = 2862714.734017, lowerbound=1196497.734017, norm of subgrad 39.792098 stepsize= 1.000000
+dualbound = 2862848.849318, lowerbound=1199390.849318, norm of subgrad 1095.820628 dualbound = 2862848.849318, lowerbound=1199390.849318, norm of subgrad 39.574175 stepsize= 1.000000
+dualbound = 2862972.774831, lowerbound=1197674.774831, norm of subgrad 1095.025468 dualbound = 2862972.774831, lowerbound=1197674.774831, norm of subgrad 39.114262 stepsize= 1.000000
+dualbound = 2863142.439707, lowerbound=1201359.439707, norm of subgrad 1096.668792 dualbound = 2863142.439707, lowerbound=1201359.439707, norm of subgrad 38.635021 stepsize= 1.000000
+dualbound = 2863310.053157, lowerbound=1197996.053157, norm of subgrad 1095.176266 dualbound = 2863310.053157, lowerbound=1197996.053157, norm of subgrad 39.782074 stepsize= 1.000000
+dualbound = 2863407.462920, lowerbound=1195415.462920, norm of subgrad 1094.007067 dualbound = 2863407.462920, lowerbound=1195415.462920, norm of subgrad 39.158776 stepsize= 1.000000
+dualbound = 2863571.192503, lowerbound=1202395.192503, norm of subgrad 1097.174641 dualbound = 2863571.192503, lowerbound=1202395.192503, norm of subgrad 39.506070 stepsize= 1.000000
+dualbound = 2863727.576779, lowerbound=1195645.576779, norm of subgrad 1094.093495 dualbound = 2863727.576779, lowerbound=1195645.576779, norm of subgrad 39.387616 stepsize= 1.000000
+dualbound = 2863848.674980, lowerbound=1200640.674980, norm of subgrad 1096.392573 dualbound = 2863848.674980, lowerbound=1200640.674980, norm of subgrad 39.460084 stepsize= 1.000000
+dualbound = 2864009.145997, lowerbound=1199914.145997, norm of subgrad 1096.033369 dualbound = 2864009.145997, lowerbound=1199914.145997, norm of subgrad 39.185087 stepsize= 1.000000
+dualbound = 2864133.412086, lowerbound=1199588.412086, norm of subgrad 1095.889325 dualbound = 2864133.412086, lowerbound=1199588.412086, norm of subgrad 38.849274 stepsize= 1.000000
+dualbound = 2864298.831233, lowerbound=1200755.831233, norm of subgrad 1096.422287 dualbound = 2864298.831233, lowerbound=1200755.831233, norm of subgrad 39.388058 stepsize= 1.000000
+dualbound = 2864426.410568, lowerbound=1197689.410568, norm of subgrad 1095.013886 dualbound = 2864426.410568, lowerbound=1197689.410568, norm of subgrad 38.646854 stepsize= 1.000000
+dualbound = 2864577.723191, lowerbound=1194743.723191, norm of subgrad 1093.702758 dualbound = 2864577.723191, lowerbound=1194743.723191, norm of subgrad 39.916320 stepsize= 1.000000
+dualbound = 2864689.163988, lowerbound=1198609.163988, norm of subgrad 1095.468468 dualbound = 2864689.163988, lowerbound=1198609.163988, norm of subgrad 39.413713 stepsize= 1.000000
+dualbound = 2864862.147940, lowerbound=1193149.147940, norm of subgrad 1092.935107 dualbound = 2864862.147940, lowerbound=1193149.147940, norm of subgrad 39.127790 stepsize= 1.000000
+dualbound = 2865007.688809, lowerbound=1202252.688809, norm of subgrad 1097.113799 dualbound = 2865007.688809, lowerbound=1202252.688809, norm of subgrad 39.389604 stepsize= 1.000000
+dualbound = 2865143.402286, lowerbound=1199141.402286, norm of subgrad 1095.683076 dualbound = 2865143.402286, lowerbound=1199141.402286, norm of subgrad 38.932165 stepsize= 1.000000
+dualbound = 2865290.954263, lowerbound=1200256.954263, norm of subgrad 1096.192480 dualbound = 2865290.954263, lowerbound=1200256.954263, norm of subgrad 39.096700 stepsize= 1.000000
+dualbound = 2865416.099060, lowerbound=1200535.099060, norm of subgrad 1096.303835 dualbound = 2865416.099060, lowerbound=1200535.099060, norm of subgrad 38.368539 stepsize= 1.000000
+dualbound = 2865590.719609, lowerbound=1196255.719609, norm of subgrad 1094.373209 dualbound = 2865590.719609, lowerbound=1196255.719609, norm of subgrad 39.643670 stepsize= 1.000000
+dualbound = 2865704.296496, lowerbound=1202599.296496, norm of subgrad 1097.283143 dualbound = 2865704.296496, lowerbound=1202599.296496, norm of subgrad 39.301105 stepsize= 1.000000
+dualbound = 2865840.262906, lowerbound=1204248.262906, norm of subgrad 1098.075709 dualbound = 2865840.262906, lowerbound=1204248.262906, norm of subgrad 40.718134 stepsize= 1.000000
+dualbound = 2865959.066542, lowerbound=1197989.066542, norm of subgrad 1095.192251 dualbound = 2865959.066542, lowerbound=1197989.066542, norm of subgrad 39.696393 stepsize= 1.000000
+dualbound = 2866110.595573, lowerbound=1203989.595573, norm of subgrad 1097.894620 dualbound = 2866110.595573, lowerbound=1203989.595573, norm of subgrad 39.173065 stepsize= 1.000000
+dualbound = 2866295.173725, lowerbound=1192492.173725, norm of subgrad 1092.666085 dualbound = 2866295.173725, lowerbound=1192492.173725, norm of subgrad 40.144466 stepsize= 1.000000
+dualbound = 2866389.181149, lowerbound=1202570.181149, norm of subgrad 1097.261218 dualbound = 2866389.181149, lowerbound=1202570.181149, norm of subgrad 38.807311 stepsize= 1.000000
+dualbound = 2866600.434961, lowerbound=1198710.434961, norm of subgrad 1095.477264 dualbound = 2866600.434961, lowerbound=1198710.434961, norm of subgrad 39.639044 stepsize= 1.000000
+dualbound = 2866704.048362, lowerbound=1200046.048362, norm of subgrad 1096.126840 dualbound = 2866704.048362, lowerbound=1200046.048362, norm of subgrad 39.390524 stepsize= 1.000000
+dualbound = 2866842.385892, lowerbound=1196897.385892, norm of subgrad 1094.663138 dualbound = 2866842.385892, lowerbound=1196897.385892, norm of subgrad 39.093958 stepsize= 1.000000
+dualbound = 2866998.240085, lowerbound=1200642.240085, norm of subgrad 1096.376870 dualbound = 2866998.240085, lowerbound=1200642.240085, norm of subgrad 39.444318 stepsize= 1.000000
+dualbound = 2867145.298456, lowerbound=1196995.298456, norm of subgrad 1094.725673 dualbound = 2867145.298456, lowerbound=1196995.298456, norm of subgrad 39.699602 stepsize= 1.000000
+dualbound = 2867276.526777, lowerbound=1197813.526777, norm of subgrad 1095.100236 dualbound = 2867276.526777, lowerbound=1197813.526777, norm of subgrad 39.525034 stepsize= 1.000000
+dualbound = 2867408.513887, lowerbound=1198463.513887, norm of subgrad 1095.370948 dualbound = 2867408.513887, lowerbound=1198463.513887, norm of subgrad 38.807050 stepsize= 1.000000
+dualbound = 2867583.633997, lowerbound=1199096.633997, norm of subgrad 1095.646674 dualbound = 2867583.633997, lowerbound=1199096.633997, norm of subgrad 38.988718 stepsize= 1.000000
+dualbound = 2867713.157211, lowerbound=1199108.157211, norm of subgrad 1095.662428 dualbound = 2867713.157211, lowerbound=1199108.157211, norm of subgrad 38.697845 stepsize= 1.000000
+dualbound = 2867849.076319, lowerbound=1197585.076319, norm of subgrad 1094.959851 dualbound = 2867849.076319, lowerbound=1197585.076319, norm of subgrad 38.573555 stepsize= 1.000000
+dualbound = 2867989.366256, lowerbound=1203480.366256, norm of subgrad 1097.678626 dualbound = 2867989.366256, lowerbound=1203480.366256, norm of subgrad 39.475181 stepsize= 1.000000
+dualbound = 2868122.343457, lowerbound=1200757.343457, norm of subgrad 1096.451250 dualbound = 2868122.343457, lowerbound=1200757.343457, norm of subgrad 39.761504 stepsize= 1.000000
+dualbound = 2868259.688512, lowerbound=1198895.688512, norm of subgrad 1095.612928 dualbound = 2868259.688512, lowerbound=1198895.688512, norm of subgrad 40.116643 stepsize= 1.000000
+dualbound = 2868409.660475, lowerbound=1197869.660475, norm of subgrad 1095.131801 dualbound = 2868409.660475, lowerbound=1197869.660475, norm of subgrad 39.924578 stepsize= 1.000000
+dualbound = 2868561.934168, lowerbound=1197508.934168, norm of subgrad 1095.000427 dualbound = 2868561.934168, lowerbound=1197508.934168, norm of subgrad 40.856746 stepsize= 1.000000
+dualbound = 2868663.486784, lowerbound=1201968.486784, norm of subgrad 1097.009793 dualbound = 2868663.486784, lowerbound=1201968.486784, norm of subgrad 39.541783 stepsize= 1.000000
+dualbound = 2868852.459420, lowerbound=1199154.459420, norm of subgrad 1095.678538 dualbound = 2868852.459420, lowerbound=1199154.459420, norm of subgrad 39.318859 stepsize= 1.000000
+dualbound = 2868997.069743, lowerbound=1201592.069743, norm of subgrad 1096.845053 dualbound = 2868997.069743, lowerbound=1201592.069743, norm of subgrad 40.269223 stepsize= 1.000000
+dualbound = 2869113.886657, lowerbound=1198830.886657, norm of subgrad 1095.572401 dualbound = 2869113.886657, lowerbound=1198830.886657, norm of subgrad 39.557767 stepsize= 1.000000
+dualbound = 2869254.015246, lowerbound=1203531.015246, norm of subgrad 1097.703974 dualbound = 2869254.015246, lowerbound=1203531.015246, norm of subgrad 39.536421 stepsize= 1.000000
+dualbound = 2869429.800160, lowerbound=1196923.800160, norm of subgrad 1094.649624 dualbound = 2869429.800160, lowerbound=1196923.800160, norm of subgrad 38.855951 stepsize= 1.000000
+dualbound = 2869584.970850, lowerbound=1202435.970850, norm of subgrad 1097.173628 dualbound = 2869584.970850, lowerbound=1202435.970850, norm of subgrad 38.848046 stepsize= 1.000000
+dualbound = 2869706.122711, lowerbound=1200093.122711, norm of subgrad 1096.104978 dualbound = 2869706.122711, lowerbound=1200093.122711, norm of subgrad 38.394685 stepsize= 1.000000
+dualbound = 2869871.841117, lowerbound=1200416.841117, norm of subgrad 1096.274984 dualbound = 2869871.841117, lowerbound=1200416.841117, norm of subgrad 39.594424 stepsize= 1.000000
+dualbound = 2869974.629639, lowerbound=1197621.629639, norm of subgrad 1095.024032 dualbound = 2869974.629639, lowerbound=1197621.629639, norm of subgrad 39.481496 stepsize= 1.000000
+dualbound = 2870094.332342, lowerbound=1206279.332342, norm of subgrad 1098.973308 dualbound = 2870094.332342, lowerbound=1206279.332342, norm of subgrad 39.783196 stepsize= 1.000000
+dualbound = 2870258.904570, lowerbound=1201869.904570, norm of subgrad 1096.950730 dualbound = 2870258.904570, lowerbound=1201869.904570, norm of subgrad 39.944615 stepsize= 1.000000
+dualbound = 2870392.933749, lowerbound=1197099.933749, norm of subgrad 1094.791274 dualbound = 2870392.933749, lowerbound=1197099.933749, norm of subgrad 40.025357 stepsize= 1.000000
+dualbound = 2870540.884466, lowerbound=1198635.884466, norm of subgrad 1095.480207 dualbound = 2870540.884466, lowerbound=1198635.884466, norm of subgrad 39.861645 stepsize= 1.000000
+dualbound = 2870658.047048, lowerbound=1199887.047048, norm of subgrad 1096.037886 dualbound = 2870658.047048, lowerbound=1199887.047048, norm of subgrad 39.104508 stepsize= 1.000000
+dualbound = 2870846.649492, lowerbound=1198839.649492, norm of subgrad 1095.527567 dualbound = 2870846.649492, lowerbound=1198839.649492, norm of subgrad 39.110132 stepsize= 1.000000
+dualbound = 2870981.303023, lowerbound=1197072.303023, norm of subgrad 1094.747598 dualbound = 2870981.303023, lowerbound=1197072.303023, norm of subgrad 39.174654 stepsize= 1.000000
+dualbound = 2871109.166653, lowerbound=1197981.166653, norm of subgrad 1095.179970 dualbound = 2871109.166653, lowerbound=1197981.166653, norm of subgrad 39.570995 stepsize= 1.000000
+dualbound = 2871223.845064, lowerbound=1201561.845064, norm of subgrad 1096.819878 dualbound = 2871223.845064, lowerbound=1201561.845064, norm of subgrad 39.581289 stepsize= 1.000000
+dualbound = 2871420.554679, lowerbound=1204055.554679, norm of subgrad 1097.926480 dualbound = 2871420.554679, lowerbound=1204055.554679, norm of subgrad 39.795849 stepsize= 1.000000
+dualbound = 2871517.938185, lowerbound=1197937.938185, norm of subgrad 1095.164343 dualbound = 2871517.938185, lowerbound=1197937.938185, norm of subgrad 39.298645 stepsize= 1.000000
+dualbound = 2871668.246531, lowerbound=1200168.246531, norm of subgrad 1096.154755 dualbound = 2871668.246531, lowerbound=1200168.246531, norm of subgrad 39.208524 stepsize= 1.000000
+dualbound = 2871836.277233, lowerbound=1201190.277233, norm of subgrad 1096.612638 dualbound = 2871836.277233, lowerbound=1201190.277233, norm of subgrad 39.204983 stepsize= 1.000000
+dualbound = 2871969.490329, lowerbound=1201159.490329, norm of subgrad 1096.625501 dualbound = 2871969.490329, lowerbound=1201159.490329, norm of subgrad 39.512189 stepsize= 1.000000
+dualbound = 2872099.105937, lowerbound=1199372.105937, norm of subgrad 1095.821202 dualbound = 2872099.105937, lowerbound=1199372.105937, norm of subgrad 39.769531 stepsize= 1.000000
+dualbound = 2872253.396777, lowerbound=1196272.396777, norm of subgrad 1094.399560 dualbound = 2872253.396777, lowerbound=1196272.396777, norm of subgrad 39.903519 stepsize= 1.000000
+dualbound = 2872378.443035, lowerbound=1198990.443035, norm of subgrad 1095.662559 dualbound = 2872378.443035, lowerbound=1198990.443035, norm of subgrad 40.137841 stepsize= 1.000000
+dualbound = 2872520.838706, lowerbound=1200688.838706, norm of subgrad 1096.400401 dualbound = 2872520.838706, lowerbound=1200688.838706, norm of subgrad 39.336950 stepsize= 1.000000
+dualbound = 2872688.413183, lowerbound=1202847.413183, norm of subgrad 1097.359291 dualbound = 2872688.413183, lowerbound=1202847.413183, norm of subgrad 38.956058 stepsize= 1.000000
+dualbound = 2872836.655057, lowerbound=1199508.655057, norm of subgrad 1095.827384 dualbound = 2872836.655057, lowerbound=1199508.655057, norm of subgrad 38.434904 stepsize= 1.000000
+dualbound = 2872976.148957, lowerbound=1201180.148957, norm of subgrad 1096.620786 dualbound = 2872976.148957, lowerbound=1201180.148957, norm of subgrad 39.198136 stepsize= 1.000000
+dualbound = 2873092.986579, lowerbound=1202943.986579, norm of subgrad 1097.419239 dualbound = 2873092.986579, lowerbound=1202943.986579, norm of subgrad 38.753550 stepsize= 1.000000
+dualbound = 2873255.695982, lowerbound=1198081.695982, norm of subgrad 1095.186603 dualbound = 2873255.695982, lowerbound=1198081.695982, norm of subgrad 38.919268 stepsize= 1.000000
+dualbound = 2873388.109187, lowerbound=1203538.109187, norm of subgrad 1097.723603 dualbound = 2873388.109187, lowerbound=1203538.109187, norm of subgrad 39.892521 stepsize= 1.000000
+dualbound = 2873504.723071, lowerbound=1195922.723071, norm of subgrad 1094.244362 dualbound = 2873504.723071, lowerbound=1195922.723071, norm of subgrad 39.555200 stepsize= 1.000000
+dualbound = 2873659.199200, lowerbound=1199716.199200, norm of subgrad 1095.968612 dualbound = 2873659.199200, lowerbound=1199716.199200, norm of subgrad 39.818038 stepsize= 1.000000
+dualbound = 2873810.812777, lowerbound=1202966.812777, norm of subgrad 1097.436473 dualbound = 2873810.812777, lowerbound=1202966.812777, norm of subgrad 39.390526 stepsize= 1.000000
+dualbound = 2873951.161972, lowerbound=1198938.161972, norm of subgrad 1095.594433 dualbound = 2873951.161972, lowerbound=1198938.161972, norm of subgrad 39.106894 stepsize= 1.000000
+dualbound = 2874111.225088, lowerbound=1203356.225088, norm of subgrad 1097.627999 dualbound = 2874111.225088, lowerbound=1203356.225088, norm of subgrad 39.888133 stepsize= 1.000000
+dualbound = 2874210.408027, lowerbound=1198130.408027, norm of subgrad 1095.257234 dualbound = 2874210.408027, lowerbound=1198130.408027, norm of subgrad 39.461157 stepsize= 1.000000
+dualbound = 2874353.553786, lowerbound=1199882.553786, norm of subgrad 1096.058645 dualbound = 2874353.553786, lowerbound=1199882.553786, norm of subgrad 40.064270 stepsize= 1.000000
+dualbound = 2874517.762337, lowerbound=1203781.762337, norm of subgrad 1097.812717 dualbound = 2874517.762337, lowerbound=1203781.762337, norm of subgrad 39.688897 stepsize= 1.000000
+dualbound = 2874654.154481, lowerbound=1197519.154481, norm of subgrad 1094.974499 dualbound = 2874654.154481, lowerbound=1197519.154481, norm of subgrad 39.829539 stepsize= 1.000000
+dualbound = 2874791.193397, lowerbound=1202036.193397, norm of subgrad 1097.006469 dualbound = 2874791.193397, lowerbound=1202036.193397, norm of subgrad 39.038941 stepsize= 1.000000
+dualbound = 2874944.465383, lowerbound=1202822.465383, norm of subgrad 1097.385741 dualbound = 2874944.465383, lowerbound=1202822.465383, norm of subgrad 39.828030 stepsize= 1.000000
+dualbound = 2875047.700069, lowerbound=1199278.700069, norm of subgrad 1095.789533 dualbound = 2875047.700069, lowerbound=1199278.700069, norm of subgrad 39.739586 stepsize= 1.000000
+dualbound = 2875212.343717, lowerbound=1197050.343717, norm of subgrad 1094.770453 dualbound = 2875212.343717, lowerbound=1197050.343717, norm of subgrad 40.455453 stepsize= 1.000000
+dualbound = 2875346.573313, lowerbound=1205055.573313, norm of subgrad 1098.400461 dualbound = 2875346.573313, lowerbound=1205055.573313, norm of subgrad 39.525050 stepsize= 1.000000
+dualbound = 2875512.388429, lowerbound=1198795.388429, norm of subgrad 1095.535663 dualbound = 2875512.388429, lowerbound=1198795.388429, norm of subgrad 39.608271 stepsize= 1.000000
+dualbound = 2875643.104186, lowerbound=1202235.104186, norm of subgrad 1097.097582 dualbound = 2875643.104186, lowerbound=1202235.104186, norm of subgrad 38.970704 stepsize= 1.000000
+dualbound = 2875801.789917, lowerbound=1197299.789917, norm of subgrad 1094.856516 dualbound = 2875801.789917, lowerbound=1197299.789917, norm of subgrad 39.619260 stepsize= 1.000000
+dualbound = 2875908.045402, lowerbound=1206300.045402, norm of subgrad 1098.986827 dualbound = 2875908.045402, lowerbound=1206300.045402, norm of subgrad 39.727264 stepsize= 1.000000
+dualbound = 2876064.630143, lowerbound=1201983.630143, norm of subgrad 1096.989348 dualbound = 2876064.630143, lowerbound=1201983.630143, norm of subgrad 39.478915 stepsize= 1.000000
+dualbound = 2876220.566038, lowerbound=1200819.566038, norm of subgrad 1096.468680 dualbound = 2876220.566038, lowerbound=1200819.566038, norm of subgrad 39.748407 stepsize= 1.000000
+dualbound = 2876334.948129, lowerbound=1199957.948129, norm of subgrad 1096.079353 dualbound = 2876334.948129, lowerbound=1199957.948129, norm of subgrad 39.324065 stepsize= 1.000000
+dualbound = 2876489.509190, lowerbound=1202731.509190, norm of subgrad 1097.356601 dualbound = 2876489.509190, lowerbound=1202731.509190, norm of subgrad 40.181601 stepsize= 1.000000
+dualbound = 2876607.327252, lowerbound=1196237.327252, norm of subgrad 1094.391761 dualbound = 2876607.327252, lowerbound=1196237.327252, norm of subgrad 39.671376 stepsize= 1.000000
+dualbound = 2876779.639139, lowerbound=1198647.639139, norm of subgrad 1095.431257 dualbound = 2876779.639139, lowerbound=1198647.639139, norm of subgrad 38.656330 stepsize= 1.000000
+dualbound = 2876941.939213, lowerbound=1202065.939213, norm of subgrad 1096.969434 dualbound = 2876941.939213, lowerbound=1202065.939213, norm of subgrad 37.924927 stepsize= 1.000000
+dualbound = 2877094.039033, lowerbound=1201216.039033, norm of subgrad 1096.575597 dualbound = 2877094.039033, lowerbound=1201216.039033, norm of subgrad 37.604519 stepsize= 1.000000
+dualbound = 2877210.906163, lowerbound=1201337.906163, norm of subgrad 1096.687242 dualbound = 2877210.906163, lowerbound=1201337.906163, norm of subgrad 38.753931 stepsize= 1.000000
+dualbound = 2877305.976386, lowerbound=1203745.976386, norm of subgrad 1097.819647 dualbound = 2877305.976386, lowerbound=1203745.976386, norm of subgrad 39.459729 stepsize= 1.000000
+dualbound = 2877476.297378, lowerbound=1200473.297378, norm of subgrad 1096.306662 dualbound = 2877476.297378, lowerbound=1200473.297378, norm of subgrad 39.816090 stepsize= 1.000000
+dualbound = 2877601.070930, lowerbound=1198956.070930, norm of subgrad 1095.633639 dualbound = 2877601.070930, lowerbound=1198956.070930, norm of subgrad 39.771517 stepsize= 1.000000
+dualbound = 2877743.791782, lowerbound=1202511.791782, norm of subgrad 1097.219117 dualbound = 2877743.791782, lowerbound=1202511.791782, norm of subgrad 38.996421 stepsize= 1.000000
+dualbound = 2877905.101149, lowerbound=1200855.101149, norm of subgrad 1096.460260 dualbound = 2877905.101149, lowerbound=1200855.101149, norm of subgrad 39.131948 stepsize= 1.000000
+dualbound = 2878042.973721, lowerbound=1201159.973721, norm of subgrad 1096.635753 dualbound = 2878042.973721, lowerbound=1201159.973721, norm of subgrad 39.848119 stepsize= 1.000000
+dualbound = 2878157.472025, lowerbound=1204178.472025, norm of subgrad 1098.006135 dualbound = 2878157.472025, lowerbound=1204178.472025, norm of subgrad 39.414443 stepsize= 1.000000
+dualbound = 2878325.587689, lowerbound=1199279.587689, norm of subgrad 1095.752521 dualbound = 2878325.587689, lowerbound=1199279.587689, norm of subgrad 39.523609 stepsize= 1.000000
+dualbound = 2878466.107785, lowerbound=1199109.107785, norm of subgrad 1095.674271 dualbound = 2878466.107785, lowerbound=1199109.107785, norm of subgrad 39.160185 stepsize= 1.000000
+dualbound = 2878606.458732, lowerbound=1204508.458732, norm of subgrad 1098.121332 dualbound = 2878606.458732, lowerbound=1204508.458732, norm of subgrad 38.760172 stepsize= 1.000000
+dualbound = 2878747.781058, lowerbound=1198786.781058, norm of subgrad 1095.544513 dualbound = 2878747.781058, lowerbound=1198786.781058, norm of subgrad 39.652520 stepsize= 1.000000
+dualbound = 2878862.228813, lowerbound=1207490.228813, norm of subgrad 1099.502264 dualbound = 2878862.228813, lowerbound=1207490.228813, norm of subgrad 39.108155 stepsize= 1.000000
+dualbound = 2879014.860556, lowerbound=1198844.860556, norm of subgrad 1095.592014 dualbound = 2879014.860556, lowerbound=1198844.860556, norm of subgrad 40.368698 stepsize= 1.000000
+dualbound = 2879118.618243, lowerbound=1200606.618243, norm of subgrad 1096.390723 dualbound = 2879118.618243, lowerbound=1200606.618243, norm of subgrad 39.620168 stepsize= 1.000000
+dualbound = 2879299.906693, lowerbound=1204232.906693, norm of subgrad 1098.013163 dualbound = 2879299.906693, lowerbound=1204232.906693, norm of subgrad 39.765418 stepsize= 1.000000
+dualbound = 2879422.451454, lowerbound=1203215.451454, norm of subgrad 1097.580271 dualbound = 2879422.451454, lowerbound=1203215.451454, norm of subgrad 39.869095 stepsize= 1.000000
+dualbound = 2879561.273615, lowerbound=1203174.273615, norm of subgrad 1097.536001 dualbound = 2879561.273615, lowerbound=1203174.273615, norm of subgrad 39.367781 stepsize= 1.000000
+dualbound = 2879700.068003, lowerbound=1199552.068003, norm of subgrad 1095.911980 dualbound = 2879700.068003, lowerbound=1199552.068003, norm of subgrad 40.122243 stepsize= 1.000000
+dualbound = 2879842.066760, lowerbound=1206370.066760, norm of subgrad 1098.995026 dualbound = 2879842.066760, lowerbound=1206370.066760, norm of subgrad 39.522130 stepsize= 1.000000
+dualbound = 2879989.085933, lowerbound=1198901.085933, norm of subgrad 1095.584358 dualbound = 2879989.085933, lowerbound=1198901.085933, norm of subgrad 39.382981 stepsize= 1.000000
+dualbound = 2880116.075523, lowerbound=1203030.075523, norm of subgrad 1097.495820 dualbound = 2880116.075523, lowerbound=1203030.075523, norm of subgrad 39.924799 stepsize= 1.000000
+dualbound = 2880252.829891, lowerbound=1201243.829891, norm of subgrad 1096.663499 dualbound = 2880252.829891, lowerbound=1201243.829891, norm of subgrad 39.544334 stepsize= 1.000000
+dualbound = 2880404.521430, lowerbound=1202281.521430, norm of subgrad 1097.109621 dualbound = 2880404.521430, lowerbound=1202281.521430, norm of subgrad 38.983221 stepsize= 1.000000
+dualbound = 2880562.017006, lowerbound=1205328.017006, norm of subgrad 1098.508542 dualbound = 2880562.017006, lowerbound=1205328.017006, norm of subgrad 39.376333 stepsize= 1.000000
+dualbound = 2880706.436128, lowerbound=1200675.436128, norm of subgrad 1096.415722 dualbound = 2880706.436128, lowerbound=1200675.436128, norm of subgrad 39.955214 stepsize= 1.000000
+dualbound = 2880805.184939, lowerbound=1200521.184939, norm of subgrad 1096.328046 dualbound = 2880805.184939, lowerbound=1200521.184939, norm of subgrad 38.894072 stepsize= 1.000000
+dualbound = 2881005.220825, lowerbound=1201344.220825, norm of subgrad 1096.721123 dualbound = 2881005.220825, lowerbound=1201344.220825, norm of subgrad 40.657544 stepsize= 1.000000
+dualbound = 2881104.711516, lowerbound=1204079.711516, norm of subgrad 1097.953420 dualbound = 2881104.711516, lowerbound=1204079.711516, norm of subgrad 39.006290 stepsize= 1.000000
+dualbound = 2881279.741107, lowerbound=1202181.741107, norm of subgrad 1097.056398 dualbound = 2881279.741107, lowerbound=1202181.741107, norm of subgrad 39.064429 stepsize= 1.000000
+dualbound = 2881414.644724, lowerbound=1205805.644724, norm of subgrad 1098.737751 dualbound = 2881414.644724, lowerbound=1205805.644724, norm of subgrad 39.419584 stepsize= 1.000000
+dualbound = 2881544.879379, lowerbound=1199282.879379, norm of subgrad 1095.740790 dualbound = 2881544.879379, lowerbound=1199282.879379, norm of subgrad 38.668264 stepsize= 1.000000
+dualbound = 2881653.409986, lowerbound=1201287.409986, norm of subgrad 1096.679265 dualbound = 2881653.409986, lowerbound=1201287.409986, norm of subgrad 39.070841 stepsize= 1.000000
+dualbound = 2881792.819313, lowerbound=1202305.819313, norm of subgrad 1097.144849 dualbound = 2881792.819313, lowerbound=1202305.819313, norm of subgrad 39.502017 stepsize= 1.000000
+dualbound = 2881950.777463, lowerbound=1205589.777463, norm of subgrad 1098.637692 dualbound = 2881950.777463, lowerbound=1205589.777463, norm of subgrad 39.660536 stepsize= 1.000000
+dualbound = 2882070.680009, lowerbound=1203615.680009, norm of subgrad 1097.738439 dualbound = 2882070.680009, lowerbound=1203615.680009, norm of subgrad 39.165068 stepsize= 1.000000
+dualbound = 2882200.989786, lowerbound=1203159.989786, norm of subgrad 1097.544072 dualbound = 2882200.989786, lowerbound=1203159.989786, norm of subgrad 39.664969 stepsize= 1.000000
+dualbound = 2882356.663104, lowerbound=1201538.663104, norm of subgrad 1096.802928 dualbound = 2882356.663104, lowerbound=1201538.663104, norm of subgrad 39.920838 stepsize= 1.000000
+dualbound = 2882467.855873, lowerbound=1205666.855873, norm of subgrad 1098.698255 dualbound = 2882467.855873, lowerbound=1205666.855873, norm of subgrad 39.776787 stepsize= 1.000000
+dualbound = 2882596.038789, lowerbound=1199272.038789, norm of subgrad 1095.768698 dualbound = 2882596.038789, lowerbound=1199272.038789, norm of subgrad 39.562393 stepsize= 1.000000
+dualbound = 2882742.846575, lowerbound=1208413.846575, norm of subgrad 1099.937201 dualbound = 2882742.846575, lowerbound=1208413.846575, norm of subgrad 39.935045 stepsize= 1.000000
+dualbound = 2882905.892451, lowerbound=1198445.892451, norm of subgrad 1095.400791 dualbound = 2882905.892451, lowerbound=1198445.892451, norm of subgrad 40.249793 stepsize= 1.000000
+dualbound = 2883025.350173, lowerbound=1202203.350173, norm of subgrad 1097.114101 dualbound = 2883025.350173, lowerbound=1202203.350173, norm of subgrad 39.692036 stepsize= 1.000000
+dualbound = 2883160.676132, lowerbound=1202536.676132, norm of subgrad 1097.255064 dualbound = 2883160.676132, lowerbound=1202536.676132, norm of subgrad 39.589468 stepsize= 1.000000
+dualbound = 2883339.673991, lowerbound=1203077.673991, norm of subgrad 1097.501104 dualbound = 2883339.673991, lowerbound=1203077.673991, norm of subgrad 40.124779 stepsize= 1.000000
+dualbound = 2883466.581390, lowerbound=1203891.581390, norm of subgrad 1097.860912 dualbound = 2883466.581390, lowerbound=1203891.581390, norm of subgrad 39.165130 stepsize= 1.000000
+dualbound = 2883612.037995, lowerbound=1206849.037995, norm of subgrad 1099.220650 dualbound = 2883612.037995, lowerbound=1206849.037995, norm of subgrad 39.780103 stepsize= 1.000000
+dualbound = 2883731.228459, lowerbound=1200277.228459, norm of subgrad 1096.197167 dualbound = 2883731.228459, lowerbound=1200277.228459, norm of subgrad 38.602985 stepsize= 1.000000
+dualbound = 2883890.010448, lowerbound=1203618.010448, norm of subgrad 1097.731302 dualbound = 2883890.010448, lowerbound=1203618.010448, norm of subgrad 39.430724 stepsize= 1.000000
+dualbound = 2884029.903046, lowerbound=1205986.903046, norm of subgrad 1098.803851 dualbound = 2884029.903046, lowerbound=1205986.903046, norm of subgrad 39.024257 stepsize= 1.000000
+dualbound = 2884168.977455, lowerbound=1202524.977455, norm of subgrad 1097.225126 dualbound = 2884168.977455, lowerbound=1202524.977455, norm of subgrad 38.949639 stepsize= 1.000000
+dualbound = 2884317.973716, lowerbound=1204018.973716, norm of subgrad 1097.897524 dualbound = 2884317.973716, lowerbound=1204018.973716, norm of subgrad 38.845801 stepsize= 1.000000
+dualbound = 2884453.058962, lowerbound=1206640.058962, norm of subgrad 1099.101933 dualbound = 2884453.058962, lowerbound=1206640.058962, norm of subgrad 38.988271 stepsize= 1.000000
+dualbound = 2884595.379781, lowerbound=1199915.379781, norm of subgrad 1096.038950 dualbound = 2884595.379781, lowerbound=1199915.379781, norm of subgrad 39.093744 stepsize= 1.000000
+dualbound = 2884720.057548, lowerbound=1207042.057548, norm of subgrad 1099.288887 dualbound = 2884720.057548, lowerbound=1207042.057548, norm of subgrad 38.970216 stepsize= 1.000000
+dualbound = 2884859.591635, lowerbound=1204945.591635, norm of subgrad 1098.342657 dualbound = 2884859.591635, lowerbound=1204945.591635, norm of subgrad 39.376822 stepsize= 1.000000
+dualbound = 2884992.716210, lowerbound=1202334.716210, norm of subgrad 1097.165765 dualbound = 2884992.716210, lowerbound=1202334.716210, norm of subgrad 39.637414 stepsize= 1.000000
+dualbound = 2885094.654334, lowerbound=1205652.654334, norm of subgrad 1098.678140 dualbound = 2885094.654334, lowerbound=1205652.654334, norm of subgrad 39.280251 stepsize= 1.000000
+dualbound = 2885251.632993, lowerbound=1201862.632993, norm of subgrad 1096.956532 dualbound = 2885251.632993, lowerbound=1201862.632993, norm of subgrad 40.099609 stepsize= 1.000000
+dualbound = 2885402.257599, lowerbound=1205489.257599, norm of subgrad 1098.587847 dualbound = 2885402.257599, lowerbound=1205489.257599, norm of subgrad 39.454082 stepsize= 1.000000
+dualbound = 2885553.904594, lowerbound=1203754.904594, norm of subgrad 1097.780900 dualbound = 2885553.904594, lowerbound=1203754.904594, norm of subgrad 38.982650 stepsize= 1.000000
+dualbound = 2885676.882484, lowerbound=1201503.882484, norm of subgrad 1096.761087 dualbound = 2885676.882484, lowerbound=1201503.882484, norm of subgrad 38.781154 stepsize= 1.000000
+dualbound = 2885846.169635, lowerbound=1204985.169635, norm of subgrad 1098.352935 dualbound = 2885846.169635, lowerbound=1204985.169635, norm of subgrad 39.538426 stepsize= 1.000000
+dualbound = 2885936.885707, lowerbound=1200954.885707, norm of subgrad 1096.517162 dualbound = 2885936.885707, lowerbound=1200954.885707, norm of subgrad 38.544988 stepsize= 1.000000
+dualbound = 2886120.056933, lowerbound=1203374.056933, norm of subgrad 1097.615168 dualbound = 2886120.056933, lowerbound=1203374.056933, norm of subgrad 39.600142 stepsize= 1.000000
+dualbound = 2886215.897651, lowerbound=1201727.897651, norm of subgrad 1096.898764 dualbound = 2886215.897651, lowerbound=1201727.897651, norm of subgrad 39.431469 stepsize= 1.000000
+dualbound = 2886373.610256, lowerbound=1202648.610256, norm of subgrad 1097.303791 dualbound = 2886373.610256, lowerbound=1202648.610256, norm of subgrad 39.808449 stepsize= 1.000000
+dualbound = 2886492.215820, lowerbound=1204658.215820, norm of subgrad 1098.224574 dualbound = 2886492.215820, lowerbound=1204658.215820, norm of subgrad 39.466512 stepsize= 1.000000
+dualbound = 2886648.484519, lowerbound=1203941.484519, norm of subgrad 1097.922349 dualbound = 2886648.484519, lowerbound=1203941.484519, norm of subgrad 40.598876 stepsize= 1.000000
+dualbound = 2886762.925315, lowerbound=1202784.925315, norm of subgrad 1097.367726 dualbound = 2886762.925315, lowerbound=1202784.925315, norm of subgrad 39.312095 stepsize= 1.000000
+dualbound = 2886912.387529, lowerbound=1205374.387529, norm of subgrad 1098.525096 dualbound = 2886912.387529, lowerbound=1205374.387529, norm of subgrad 39.146676 stepsize= 1.000000
+dualbound = 2887066.398271, lowerbound=1204137.398271, norm of subgrad 1098.002458 dualbound = 2887066.398271, lowerbound=1204137.398271, norm of subgrad 40.323823 stepsize= 1.000000
+dualbound = 2887191.022814, lowerbound=1198718.022814, norm of subgrad 1095.508112 dualbound = 2887191.022814, lowerbound=1198718.022814, norm of subgrad 39.301712 stepsize= 1.000000
+dualbound = 2887313.896770, lowerbound=1203003.896770, norm of subgrad 1097.495739 dualbound = 2887313.896770, lowerbound=1203003.896770, norm of subgrad 40.197935 stepsize= 1.000000
+dualbound = 2887456.084594, lowerbound=1206139.084594, norm of subgrad 1098.898123 dualbound = 2887456.084594, lowerbound=1206139.084594, norm of subgrad 39.751576 stepsize= 1.000000
+dualbound = 2887611.055107, lowerbound=1207094.055107, norm of subgrad 1099.315266 dualbound = 2887611.055107, lowerbound=1207094.055107, norm of subgrad 39.433114 stepsize= 1.000000
+dualbound = 2887767.592910, lowerbound=1205776.592910, norm of subgrad 1098.686758 dualbound = 2887767.592910, lowerbound=1205776.592910, norm of subgrad 38.633377 stepsize= 1.000000
+dualbound = 2887899.121284, lowerbound=1207180.121284, norm of subgrad 1099.314387 dualbound = 2887899.121284, lowerbound=1207180.121284, norm of subgrad 37.993794 stepsize= 1.000000
+dualbound = 2888016.149115, lowerbound=1202907.149115, norm of subgrad 1097.414301 dualbound = 2888016.149115, lowerbound=1202907.149115, norm of subgrad 39.089997 stepsize= 1.000000
+dualbound = 2888152.182788, lowerbound=1202121.182788, norm of subgrad 1097.052498 dualbound = 2888152.182788, lowerbound=1202121.182788, norm of subgrad 39.230520 stepsize= 1.000000
+dualbound = 2888288.592182, lowerbound=1207135.592182, norm of subgrad 1099.335068 dualbound = 2888288.592182, lowerbound=1207135.592182, norm of subgrad 39.222562 stepsize= 1.000000
+dualbound = 2888449.435266, lowerbound=1202042.435266, norm of subgrad 1097.014328 dualbound = 2888449.435266, lowerbound=1202042.435266, norm of subgrad 39.482187 stepsize= 1.000000
+dualbound = 2888565.899727, lowerbound=1202137.899727, norm of subgrad 1097.054648 dualbound = 2888565.899727, lowerbound=1202137.899727, norm of subgrad 38.826080 stepsize= 1.000000
+dualbound = 2888727.086750, lowerbound=1203997.086750, norm of subgrad 1097.927177 dualbound = 2888727.086750, lowerbound=1203997.086750, norm of subgrad 40.102207 stepsize= 1.000000
+dualbound = 2888833.951130, lowerbound=1206749.951130, norm of subgrad 1099.172849 dualbound = 2888833.951130, lowerbound=1206749.951130, norm of subgrad 39.215614 stepsize= 1.000000
+dualbound = 2888972.269078, lowerbound=1202830.269078, norm of subgrad 1097.376995 dualbound = 2888972.269078, lowerbound=1202830.269078, norm of subgrad 39.297811 stepsize= 1.000000
+dualbound = 2889107.917631, lowerbound=1202920.917631, norm of subgrad 1097.428776 dualbound = 2889107.917631, lowerbound=1202920.917631, norm of subgrad 39.555639 stepsize= 1.000000
+dualbound = 2889256.517945, lowerbound=1202636.517945, norm of subgrad 1097.269118 dualbound = 2889256.517945, lowerbound=1202636.517945, norm of subgrad 38.879304 stepsize= 1.000000
+dualbound = 2889398.753339, lowerbound=1205236.753339, norm of subgrad 1098.469733 dualbound = 2889398.753339, lowerbound=1205236.753339, norm of subgrad 39.258571 stepsize= 1.000000
+dualbound = 2889529.835968, lowerbound=1201322.835968, norm of subgrad 1096.700887 dualbound = 2889529.835968, lowerbound=1201322.835968, norm of subgrad 39.510538 stepsize= 1.000000
+dualbound = 2889675.799125, lowerbound=1203259.799125, norm of subgrad 1097.562207 dualbound = 2889675.799125, lowerbound=1203259.799125, norm of subgrad 39.101958 stepsize= 1.000000
+dualbound = 2889834.727955, lowerbound=1209158.727955, norm of subgrad 1100.234851 dualbound = 2889834.727955, lowerbound=1209158.727955, norm of subgrad 38.947771 stepsize= 1.000000
+dualbound = 2889950.243618, lowerbound=1201721.243618, norm of subgrad 1096.902568 dualbound = 2889950.243618, lowerbound=1201721.243618, norm of subgrad 39.868730 stepsize= 1.000000
+dualbound = 2890073.469200, lowerbound=1202710.469200, norm of subgrad 1097.348381 dualbound = 2890073.469200, lowerbound=1202710.469200, norm of subgrad 39.827448 stepsize= 1.000000
+dualbound = 2890213.251138, lowerbound=1204608.251138, norm of subgrad 1098.174053 dualbound = 2890213.251138, lowerbound=1204608.251138, norm of subgrad 38.958721 stepsize= 1.000000
+dualbound = 2890364.166251, lowerbound=1203606.166251, norm of subgrad 1097.742304 dualbound = 2890364.166251, lowerbound=1203606.166251, norm of subgrad 39.785866 stepsize= 1.000000
+dualbound = 2890490.914894, lowerbound=1207740.914894, norm of subgrad 1099.636265 dualbound = 2890490.914894, lowerbound=1207740.914894, norm of subgrad 39.821460 stepsize= 1.000000
+dualbound = 2890643.371310, lowerbound=1201446.371310, norm of subgrad 1096.753104 dualbound = 2890643.371310, lowerbound=1201446.371310, norm of subgrad 39.666818 stepsize= 1.000000
+dualbound = 2890761.810951, lowerbound=1208809.810951, norm of subgrad 1100.095819 dualbound = 2890761.810951, lowerbound=1208809.810951, norm of subgrad 38.979990 stepsize= 1.000000
+dualbound = 2890908.472701, lowerbound=1201166.472701, norm of subgrad 1096.594945 dualbound = 2890908.472701, lowerbound=1201166.472701, norm of subgrad 38.738376 stepsize= 1.000000
+dualbound = 2891046.403689, lowerbound=1207860.403689, norm of subgrad 1099.656493 dualbound = 2891046.403689, lowerbound=1207860.403689, norm of subgrad 39.011934 stepsize= 1.000000
+dualbound = 2891191.697087, lowerbound=1206106.697087, norm of subgrad 1098.867916 dualbound = 2891191.697087, lowerbound=1206106.697087, norm of subgrad 39.361064 stepsize= 1.000000
+dualbound = 2891308.264926, lowerbound=1199970.264926, norm of subgrad 1096.076761 dualbound = 2891308.264926, lowerbound=1199970.264926, norm of subgrad 39.122472 stepsize= 1.000000
+dualbound = 2891467.173148, lowerbound=1200915.173148, norm of subgrad 1096.484917 dualbound = 2891467.173148, lowerbound=1200915.173148, norm of subgrad 39.024457 stepsize= 1.000000
+dualbound = 2891608.961169, lowerbound=1209936.961169, norm of subgrad 1100.606179 dualbound = 2891608.961169, lowerbound=1209936.961169, norm of subgrad 39.227389 stepsize= 1.000000
+dualbound = 2891739.469239, lowerbound=1199968.469239, norm of subgrad 1096.072748 dualbound = 2891739.469239, lowerbound=1199968.469239, norm of subgrad 39.211071 stepsize= 1.000000
+dualbound = 2891887.547894, lowerbound=1206799.547894, norm of subgrad 1099.180398 dualbound = 2891887.547894, lowerbound=1206799.547894, norm of subgrad 39.320207 stepsize= 1.000000
+dualbound = 2891993.699735, lowerbound=1205424.699735, norm of subgrad 1098.571663 dualbound = 2891993.699735, lowerbound=1205424.699735, norm of subgrad 39.257507 stepsize= 1.000000
+dualbound = 2892158.419645, lowerbound=1203840.419645, norm of subgrad 1097.834878 dualbound = 2892158.419645, lowerbound=1203840.419645, norm of subgrad 39.569179 stepsize= 1.000000
+dualbound = 2892265.517561, lowerbound=1208837.517561, norm of subgrad 1100.138408 dualbound = 2892265.517561, lowerbound=1208837.517561, norm of subgrad 39.674903 stepsize= 1.000000
+dualbound = 2892403.923929, lowerbound=1201207.923929, norm of subgrad 1096.657615 dualbound = 2892403.923929, lowerbound=1201207.923929, norm of subgrad 39.854816 stepsize= 1.000000
+dualbound = 2892522.019528, lowerbound=1203909.019528, norm of subgrad 1097.888437 dualbound = 2892522.019528, lowerbound=1203909.019528, norm of subgrad 39.599187 stepsize= 1.000000
+dualbound = 2892680.710735, lowerbound=1204497.710735, norm of subgrad 1098.140570 dualbound = 2892680.710735, lowerbound=1204497.710735, norm of subgrad 39.669777 stepsize= 1.000000
+dualbound = 2892833.958639, lowerbound=1202992.958639, norm of subgrad 1097.427428 dualbound = 2892833.958639, lowerbound=1202992.958639, norm of subgrad 38.823291 stepsize= 1.000000
+dualbound = 2892963.028340, lowerbound=1209311.028340, norm of subgrad 1100.319966 dualbound = 2892963.028340, lowerbound=1209311.028340, norm of subgrad 39.013712 stepsize= 1.000000
+dualbound = 2893101.554506, lowerbound=1205918.554506, norm of subgrad 1098.770474 dualbound = 2893101.554506, lowerbound=1205918.554506, norm of subgrad 38.942601 stepsize= 1.000000
+dualbound = 2893240.033435, lowerbound=1206276.033435, norm of subgrad 1098.969533 dualbound = 2893240.033435, lowerbound=1206276.033435, norm of subgrad 39.955962 stepsize= 1.000000
+dualbound = 2893364.947414, lowerbound=1200553.947414, norm of subgrad 1096.377648 dualbound = 2893364.947414, lowerbound=1200553.947414, norm of subgrad 40.185992 stepsize= 1.000000
+dualbound = 2893476.555005, lowerbound=1206791.555005, norm of subgrad 1099.206784 dualbound = 2893476.555005, lowerbound=1206791.555005, norm of subgrad 39.693924 stepsize= 1.000000
+dualbound = 2893628.611764, lowerbound=1202261.611764, norm of subgrad 1097.107384 dualbound = 2893628.611764, lowerbound=1202261.611764, norm of subgrad 39.179800 stepsize= 1.000000
+dualbound = 2893769.261114, lowerbound=1203358.261114, norm of subgrad 1097.619361 dualbound = 2893769.261114, lowerbound=1203358.261114, norm of subgrad 39.378285 stepsize= 1.000000
+dualbound = 2893906.446965, lowerbound=1205715.446965, norm of subgrad 1098.679866 dualbound = 2893906.446965, lowerbound=1205715.446965, norm of subgrad 38.976735 stepsize= 1.000000
+dualbound = 2894037.975332, lowerbound=1208071.975332, norm of subgrad 1099.770419 dualbound = 2894037.975332, lowerbound=1208071.975332, norm of subgrad 39.427508 stepsize= 1.000000
+dualbound = 2894167.787748, lowerbound=1203294.787748, norm of subgrad 1097.569491 dualbound = 2894167.787748, lowerbound=1203294.787748, norm of subgrad 38.649870 stepsize= 1.000000
+dualbound = 2894334.638550, lowerbound=1200027.638550, norm of subgrad 1096.091985 dualbound = 2894334.638550, lowerbound=1200027.638550, norm of subgrad 39.456949 stepsize= 1.000000
+dualbound = 2894463.223702, lowerbound=1209935.223702, norm of subgrad 1100.595849 dualbound = 2894463.223702, lowerbound=1209935.223702, norm of subgrad 38.788982 stepsize= 1.000000
+dualbound = 2894566.714630, lowerbound=1205768.714630, norm of subgrad 1098.741878 dualbound = 2894566.714630, lowerbound=1205768.714630, norm of subgrad 39.604178 stepsize= 1.000000
+dualbound = 2894728.388641, lowerbound=1202540.388641, norm of subgrad 1097.209364 dualbound = 2894728.388641, lowerbound=1202540.388641, norm of subgrad 38.596295 stepsize= 1.000000
+dualbound = 2894856.316567, lowerbound=1199706.316567, norm of subgrad 1095.972772 dualbound = 2894856.316567, lowerbound=1199706.316567, norm of subgrad 39.723141 stepsize= 1.000000
+dualbound = 2894987.101954, lowerbound=1206089.101954, norm of subgrad 1098.884936 dualbound = 2894987.101954, lowerbound=1206089.101954, norm of subgrad 39.872113 stepsize= 1.000000
+dualbound = 2895137.332912, lowerbound=1209102.332912, norm of subgrad 1100.232854 dualbound = 2895137.332912, lowerbound=1209102.332912, norm of subgrad 39.499759 stepsize= 1.000000
+dualbound = 2895271.340645, lowerbound=1204397.340645, norm of subgrad 1098.098511 dualbound = 2895271.340645, lowerbound=1204397.340645, norm of subgrad 39.458937 stepsize= 1.000000
+dualbound = 2895400.003439, lowerbound=1207090.003439, norm of subgrad 1099.316607 dualbound = 2895400.003439, lowerbound=1207090.003439, norm of subgrad 39.187534 stepsize= 1.000000
+dualbound = 2895573.179423, lowerbound=1203819.179423, norm of subgrad 1097.808808 dualbound = 2895573.179423, lowerbound=1203819.179423, norm of subgrad 39.219587 stepsize= 1.000000
+dualbound = 2895695.707288, lowerbound=1205166.707288, norm of subgrad 1098.443311 dualbound = 2895695.707288, lowerbound=1205166.707288, norm of subgrad 39.160284 stepsize= 1.000000
+dualbound = 2895815.209181, lowerbound=1204850.209181, norm of subgrad 1098.336565 dualbound = 2895815.209181, lowerbound=1204850.209181, norm of subgrad 40.155970 stepsize= 1.000000
+dualbound = 2895941.841174, lowerbound=1206761.841174, norm of subgrad 1099.174163 dualbound = 2895941.841174, lowerbound=1206761.841174, norm of subgrad 39.352662 stepsize= 1.000000
+dualbound = 2896089.375609, lowerbound=1200953.375609, norm of subgrad 1096.532889 dualbound = 2896089.375609, lowerbound=1200953.375609, norm of subgrad 39.730774 stepsize= 1.000000
+dualbound = 2896227.686811, lowerbound=1208399.686811, norm of subgrad 1099.906217 dualbound = 2896227.686811, lowerbound=1208399.686811, norm of subgrad 39.144747 stepsize= 1.000000
+dualbound = 2896371.456787, lowerbound=1202592.456787, norm of subgrad 1097.254509 dualbound = 2896371.456787, lowerbound=1202592.456787, norm of subgrad 38.971399 stepsize= 1.000000
+dualbound = 2896516.350138, lowerbound=1207957.350138, norm of subgrad 1099.710121 dualbound = 2896516.350138, lowerbound=1207957.350138, norm of subgrad 39.368685 stepsize= 1.000000
+dualbound = 2896638.212640, lowerbound=1203521.212640, norm of subgrad 1097.666257 dualbound = 2896638.212640, lowerbound=1203521.212640, norm of subgrad 38.364860 stepsize= 1.000000
+dualbound = 2896778.338351, lowerbound=1208358.338351, norm of subgrad 1099.873328 dualbound = 2896778.338351, lowerbound=1208358.338351, norm of subgrad 38.770165 stepsize= 1.000000
+dualbound = 2896909.429800, lowerbound=1202067.429800, norm of subgrad 1096.999284 dualbound = 2896909.429800, lowerbound=1202067.429800, norm of subgrad 38.354810 stepsize= 1.000000
+dualbound = 2897072.415795, lowerbound=1206987.415795, norm of subgrad 1099.254482 dualbound = 2897072.415795, lowerbound=1206987.415795, norm of subgrad 39.191657 stepsize= 1.000000
+dualbound = 2897167.881430, lowerbound=1205307.881430, norm of subgrad 1098.532604 dualbound = 2897167.881430, lowerbound=1205307.881430, norm of subgrad 39.515385 stepsize= 1.000000
+dualbound = 2897306.284298, lowerbound=1204454.284298, norm of subgrad 1098.112601 dualbound = 2897306.284298, lowerbound=1204454.284298, norm of subgrad 39.184217 stepsize= 1.000000
+dualbound = 2897455.039665, lowerbound=1202394.039665, norm of subgrad 1097.176850 dualbound = 2897455.039665, lowerbound=1202394.039665, norm of subgrad 39.392326 stepsize= 1.000000
+dualbound = 2897593.095347, lowerbound=1203585.095347, norm of subgrad 1097.704466 dualbound = 2897593.095347, lowerbound=1203585.095347, norm of subgrad 38.833693 stepsize= 1.000000
+dualbound = 2897728.472836, lowerbound=1202127.472836, norm of subgrad 1097.049895 dualbound = 2897728.472836, lowerbound=1202127.472836, norm of subgrad 39.068881 stepsize= 1.000000
+dualbound = 2897867.643485, lowerbound=1208708.643485, norm of subgrad 1100.049837 dualbound = 2897867.643485, lowerbound=1208708.643485, norm of subgrad 39.245008 stepsize= 1.000000
+dualbound = 2897985.789044, lowerbound=1203358.789044, norm of subgrad 1097.620512 dualbound = 2897985.789044, lowerbound=1203358.789044, norm of subgrad 39.117075 stepsize= 1.000000
+dualbound = 2898114.441525, lowerbound=1205673.441525, norm of subgrad 1098.660294 dualbound = 2898114.441525, lowerbound=1205673.441525, norm of subgrad 38.854247 stepsize= 1.000000
+dualbound = 2898297.857187, lowerbound=1205041.857187, norm of subgrad 1098.381927 dualbound = 2898297.857187, lowerbound=1205041.857187, norm of subgrad 39.804719 stepsize= 1.000000
+dualbound = 2898378.850810, lowerbound=1207188.850810, norm of subgrad 1099.359746 dualbound = 2898378.850810, lowerbound=1207188.850810, norm of subgrad 38.522638 stepsize= 1.000000
+dualbound = 2898574.205678, lowerbound=1205413.205678, norm of subgrad 1098.550047 dualbound = 2898574.205678, lowerbound=1205413.205678, norm of subgrad 39.929373 stepsize= 1.000000
+dualbound = 2898659.873070, lowerbound=1210625.873070, norm of subgrad 1100.920466 dualbound = 2898659.873070, lowerbound=1210625.873070, norm of subgrad 38.544356 stepsize= 1.000000
+dualbound = 2898801.339134, lowerbound=1197491.339134, norm of subgrad 1094.956318 dualbound = 2898801.339134, lowerbound=1197491.339134, norm of subgrad 39.742497 stepsize= 1.000000
+dualbound = 2898928.912183, lowerbound=1213967.912183, norm of subgrad 1102.454494 dualbound = 2898928.912183, lowerbound=1213967.912183, norm of subgrad 39.567323 stepsize= 1.000000
+dualbound = 2899075.119375, lowerbound=1201613.119375, norm of subgrad 1096.825929 dualbound = 2899075.119375, lowerbound=1201613.119375, norm of subgrad 39.499458 stepsize= 1.000000
+dualbound = 2899224.339523, lowerbound=1211758.339523, norm of subgrad 1101.451923 dualbound = 2899224.339523, lowerbound=1211758.339523, norm of subgrad 39.839932 stepsize= 1.000000
+dualbound = 2899333.580688, lowerbound=1206478.580688, norm of subgrad 1099.021192 dualbound = 2899333.580688, lowerbound=1206478.580688, norm of subgrad 38.447902 stepsize= 1.000000
+dualbound = 2899495.349471, lowerbound=1209032.349471, norm of subgrad 1100.221955 dualbound = 2899495.349471, lowerbound=1209032.349471, norm of subgrad 40.221497 stepsize= 1.000000
+dualbound = 2899597.566934, lowerbound=1207402.566934, norm of subgrad 1099.448756 dualbound = 2899597.566934, lowerbound=1207402.566934, norm of subgrad 38.564459 stepsize= 1.000000
+dualbound = 2899754.084078, lowerbound=1202582.084078, norm of subgrad 1097.275756 dualbound = 2899754.084078, lowerbound=1202582.084078, norm of subgrad 39.856206 stepsize= 1.000000
+dualbound = 2899864.977097, lowerbound=1205106.977097, norm of subgrad 1098.421129 dualbound = 2899864.977097, lowerbound=1205106.977097, norm of subgrad 39.152178 stepsize= 1.000000
+dualbound = 2899999.608479, lowerbound=1202994.608479, norm of subgrad 1097.445948 dualbound = 2899999.608479, lowerbound=1202994.608479, norm of subgrad 39.084925 stepsize= 1.000000
+dualbound = 2900167.555320, lowerbound=1205808.555320, norm of subgrad 1098.732704 dualbound = 2900167.555320, lowerbound=1205808.555320, norm of subgrad 39.660394 stepsize= 1.000000
+dualbound = 2900293.851682, lowerbound=1207168.851682, norm of subgrad 1099.362930 dualbound = 2900293.851682, lowerbound=1207168.851682, norm of subgrad 39.449922 stepsize= 1.000000
+dualbound = 2900434.552146, lowerbound=1204447.552146, norm of subgrad 1098.127749 dualbound = 2900434.552146, lowerbound=1204447.552146, norm of subgrad 39.720278 stepsize= 1.000000
+dualbound = 2900556.394270, lowerbound=1205677.394270, norm of subgrad 1098.673470 dualbound = 2900556.394270, lowerbound=1205677.394270, norm of subgrad 39.087621 stepsize= 1.000000
+dualbound = 2900721.866869, lowerbound=1206490.866869, norm of subgrad 1099.041795 dualbound = 2900721.866869, lowerbound=1206490.866869, norm of subgrad 39.591320 stepsize= 1.000000
+dualbound = 2900841.410831, lowerbound=1202385.410831, norm of subgrad 1097.150587 dualbound = 2900841.410831, lowerbound=1202385.410831, norm of subgrad 38.386768 stepsize= 1.000000
+dualbound = 2901008.376315, lowerbound=1201138.376315, norm of subgrad 1096.576206 dualbound = 2901008.376315, lowerbound=1201138.376315, norm of subgrad 38.832531 stepsize= 1.000000
+dualbound = 2901118.543360, lowerbound=1208196.543360, norm of subgrad 1099.812049 dualbound = 2901118.543360, lowerbound=1208196.543360, norm of subgrad 38.731990 stepsize= 1.000000
+dualbound = 2901243.961701, lowerbound=1204933.961701, norm of subgrad 1098.330989 dualbound = 2901243.961701, lowerbound=1204933.961701, norm of subgrad 39.018180 stepsize= 1.000000
+dualbound = 2901380.512656, lowerbound=1206922.512656, norm of subgrad 1099.210404 dualbound = 2901380.512656, lowerbound=1206922.512656, norm of subgrad 38.438925 stepsize= 1.000000
+dualbound = 2901533.979537, lowerbound=1202472.979537, norm of subgrad 1097.219203 dualbound = 2901533.979537, lowerbound=1202472.979537, norm of subgrad 39.629117 stepsize= 1.000000
+dualbound = 2901664.439026, lowerbound=1209054.439026, norm of subgrad 1100.196091 dualbound = 2901664.439026, lowerbound=1209054.439026, norm of subgrad 38.826016 stepsize= 1.000000
+dualbound = 2901799.871911, lowerbound=1208548.871911, norm of subgrad 1099.977214 dualbound = 2901799.871911, lowerbound=1208548.871911, norm of subgrad 39.197358 stepsize= 1.000000
+dualbound = 2901938.130867, lowerbound=1210107.130867, norm of subgrad 1100.693477 dualbound = 2901938.130867, lowerbound=1210107.130867, norm of subgrad 39.462121 stepsize= 1.000000
+dualbound = 2902067.100016, lowerbound=1203559.100016, norm of subgrad 1097.688981 dualbound = 2902067.100016, lowerbound=1203559.100016, norm of subgrad 38.613070 stepsize= 1.000000
+dualbound = 2902221.661335, lowerbound=1210668.661335, norm of subgrad 1100.908562 dualbound = 2902221.661335, lowerbound=1210668.661335, norm of subgrad 38.542980 stepsize= 1.000000
+dualbound = 2902357.264932, lowerbound=1200998.264932, norm of subgrad 1096.493623 dualbound = 2902357.264932, lowerbound=1200998.264932, norm of subgrad 37.889360 stepsize= 1.000000
+dualbound = 2902514.595872, lowerbound=1206354.595872, norm of subgrad 1098.992082 dualbound = 2902514.595872, lowerbound=1206354.595872, norm of subgrad 39.828770 stepsize= 1.000000
+dualbound = 2902589.121872, lowerbound=1201825.121872, norm of subgrad 1096.943536 dualbound = 2902589.121872, lowerbound=1201825.121872, norm of subgrad 39.173026 stepsize= 1.000000
+dualbound = 2902733.036075, lowerbound=1208585.036075, norm of subgrad 1099.996380 dualbound = 2902733.036075, lowerbound=1208585.036075, norm of subgrad 39.381648 stepsize= 1.000000
+dualbound = 2902902.291988, lowerbound=1203739.291988, norm of subgrad 1097.770601 dualbound = 2902902.291988, lowerbound=1203739.291988, norm of subgrad 39.118486 stepsize= 1.000000
+dualbound = 2903029.563121, lowerbound=1209356.563121, norm of subgrad 1100.329752 dualbound = 2903029.563121, lowerbound=1209356.563121, norm of subgrad 38.681664 stepsize= 1.000000
+dualbound = 2903190.234232, lowerbound=1202500.234232, norm of subgrad 1097.214762 dualbound = 2903190.234232, lowerbound=1202500.234232, norm of subgrad 39.251384 stepsize= 1.000000
+dualbound = 2903262.103702, lowerbound=1206817.103702, norm of subgrad 1099.228413 dualbound = 2903262.103702, lowerbound=1206817.103702, norm of subgrad 39.469855 stepsize= 1.000000
+dualbound = 2903419.543042, lowerbound=1208168.543042, norm of subgrad 1099.816141 dualbound = 2903419.543042, lowerbound=1208168.543042, norm of subgrad 39.805017 stepsize= 1.000000
+dualbound = 2903538.903206, lowerbound=1207749.903206, norm of subgrad 1099.621254 dualbound = 2903538.903206, lowerbound=1207749.903206, norm of subgrad 39.196431 stepsize= 1.000000
+dualbound = 2903696.038535, lowerbound=1203913.038535, norm of subgrad 1097.865674 dualbound = 2903696.038535, lowerbound=1203913.038535, norm of subgrad 39.409838 stepsize= 1.000000
+dualbound = 2903804.680402, lowerbound=1207049.680402, norm of subgrad 1099.293264 dualbound = 2903804.680402, lowerbound=1207049.680402, norm of subgrad 38.789713 stepsize= 1.000000
+dualbound = 2903975.177790, lowerbound=1206048.177790, norm of subgrad 1098.799881 dualbound = 2903975.177790, lowerbound=1206048.177790, norm of subgrad 38.516196 stepsize= 1.000000
+dualbound = 2904106.425193, lowerbound=1208463.425193, norm of subgrad 1099.928373 dualbound = 2904106.425193, lowerbound=1208463.425193, norm of subgrad 38.861902 stepsize= 1.000000
+dualbound = 2904222.768012, lowerbound=1208517.768012, norm of subgrad 1099.932165 dualbound = 2904222.768012, lowerbound=1208517.768012, norm of subgrad 38.070235 stepsize= 1.000000
+dualbound = 2904385.677062, lowerbound=1202925.677062, norm of subgrad 1097.415453 dualbound = 2904385.677062, lowerbound=1202925.677062, norm of subgrad 39.470357 stepsize= 1.000000
+dualbound = 2904486.947748, lowerbound=1201483.947748, norm of subgrad 1096.788014 dualbound = 2904486.947748, lowerbound=1201483.947748, norm of subgrad 39.512918 stepsize= 1.000000
+dualbound = 2904605.333356, lowerbound=1210449.333356, norm of subgrad 1100.884796 dualbound = 2904605.333356, lowerbound=1210449.333356, norm of subgrad 40.204298 stepsize= 1.000000
+dualbound = 2904744.684082, lowerbound=1204809.684082, norm of subgrad 1098.320392 dualbound = 2904744.684082, lowerbound=1204809.684082, norm of subgrad 40.464191 stepsize= 1.000000
+dualbound = 2904882.453799, lowerbound=1202459.453799, norm of subgrad 1097.219875 dualbound = 2904882.453799, lowerbound=1202459.453799, norm of subgrad 39.620320 stepsize= 1.000000
+dualbound = 2905023.639035, lowerbound=1206149.639035, norm of subgrad 1098.893370 dualbound = 2905023.639035, lowerbound=1206149.639035, norm of subgrad 39.473855 stepsize= 1.000000
+dualbound = 2905187.337709, lowerbound=1212564.337709, norm of subgrad 1101.776446 dualbound = 2905187.337709, lowerbound=1212564.337709, norm of subgrad 38.867707 stepsize= 1.000000
+dualbound = 2905313.168812, lowerbound=1202966.168812, norm of subgrad 1097.436635 dualbound = 2905313.168812, lowerbound=1202966.168812, norm of subgrad 39.074686 stepsize= 1.000000
+dualbound = 2905463.484645, lowerbound=1210906.484645, norm of subgrad 1101.021564 dualbound = 2905463.484645, lowerbound=1210906.484645, norm of subgrad 38.630504 stepsize= 1.000000
+dualbound = 2905585.554304, lowerbound=1203272.554304, norm of subgrad 1097.583051 dualbound = 2905585.554304, lowerbound=1203272.554304, norm of subgrad 39.218231 stepsize= 1.000000
+dualbound = 2905711.048226, lowerbound=1203262.048226, norm of subgrad 1097.576899 dualbound = 2905711.048226, lowerbound=1203262.048226, norm of subgrad 39.223640 stepsize= 1.000000
+dualbound = 2905840.373058, lowerbound=1205679.373058, norm of subgrad 1098.668455 dualbound = 2905840.373058, lowerbound=1205679.373058, norm of subgrad 39.016981 stepsize= 1.000000
+dualbound = 2905973.069484, lowerbound=1208772.069484, norm of subgrad 1100.079574 dualbound = 2905973.069484, lowerbound=1208772.069484, norm of subgrad 39.187963 stepsize= 1.000000
+dualbound = 2906123.286501, lowerbound=1202706.286501, norm of subgrad 1097.296353 dualbound = 2906123.286501, lowerbound=1202706.286501, norm of subgrad 38.771343 stepsize= 1.000000
+dualbound = 2906263.051205, lowerbound=1211139.051205, norm of subgrad 1101.165315 dualbound = 2906263.051205, lowerbound=1211139.051205, norm of subgrad 39.569745 stepsize= 1.000000
+dualbound = 2906378.880902, lowerbound=1204674.880902, norm of subgrad 1098.215316 dualbound = 2906378.880902, lowerbound=1204674.880902, norm of subgrad 38.959334 stepsize= 1.000000
+dualbound = 2906524.518747, lowerbound=1207134.518747, norm of subgrad 1099.337309 dualbound = 2906524.518747, lowerbound=1207134.518747, norm of subgrad 39.416213 stepsize= 1.000000
+dualbound = 2906662.355490, lowerbound=1206009.355490, norm of subgrad 1098.798596 dualbound = 2906662.355490, lowerbound=1206009.355490, norm of subgrad 38.559522 stepsize= 1.000000
+dualbound = 2906813.952191, lowerbound=1205350.952191, norm of subgrad 1098.541284 dualbound = 2906813.952191, lowerbound=1205350.952191, norm of subgrad 39.919879 stepsize= 1.000000
+dualbound = 2906903.665407, lowerbound=1206873.665407, norm of subgrad 1099.229578 dualbound = 2906903.665407, lowerbound=1206873.665407, norm of subgrad 39.009143 stepsize= 1.000000
+dualbound = 2907077.348699, lowerbound=1211592.348699, norm of subgrad 1101.348877 dualbound = 2907077.348699, lowerbound=1211592.348699, norm of subgrad 39.378716 stepsize= 1.000000
+dualbound = 2907199.951794, lowerbound=1202148.951794, norm of subgrad 1097.077915 dualbound = 2907199.951794, lowerbound=1202148.951794, norm of subgrad 39.415772 stepsize= 1.000000
+dualbound = 2907322.895264, lowerbound=1206510.895264, norm of subgrad 1099.043173 dualbound = 2907322.895264, lowerbound=1206510.895264, norm of subgrad 38.832248 stepsize= 1.000000
+dualbound = 2907469.916905, lowerbound=1207048.916905, norm of subgrad 1099.287004 dualbound = 2907469.916905, lowerbound=1207048.916905, norm of subgrad 39.115491 stepsize= 1.000000
+dualbound = 2907596.688706, lowerbound=1210341.688706, norm of subgrad 1100.802747 dualbound = 2907596.688706, lowerbound=1210341.688706, norm of subgrad 39.392535 stepsize= 1.000000
+dualbound = 2907742.906144, lowerbound=1201943.906144, norm of subgrad 1096.956656 dualbound = 2907742.906144, lowerbound=1201943.906144, norm of subgrad 38.938637 stepsize= 1.000000
+dualbound = 2907886.115786, lowerbound=1210665.115786, norm of subgrad 1100.907406 dualbound = 2907886.115786, lowerbound=1210665.115786, norm of subgrad 38.408458 stepsize= 1.000000
+dualbound = 2908051.216672, lowerbound=1204777.216672, norm of subgrad 1098.215924 dualbound = 2908051.216672, lowerbound=1204777.216672, norm of subgrad 38.289697 stepsize= 1.000000
+dualbound = 2908170.531006, lowerbound=1209668.531006, norm of subgrad 1100.463326 dualbound = 2908170.531006, lowerbound=1209668.531006, norm of subgrad 38.344678 stepsize= 1.000000
+dualbound = 2908274.330085, lowerbound=1207709.330085, norm of subgrad 1099.595985 dualbound = 2908274.330085, lowerbound=1207709.330085, norm of subgrad 38.804627 stepsize= 1.000000
+dualbound = 2908403.441249, lowerbound=1208820.441249, norm of subgrad 1100.103832 dualbound = 2908403.441249, lowerbound=1208820.441249, norm of subgrad 39.206009 stepsize= 1.000000
+dualbound = 2908542.564779, lowerbound=1201446.564779, norm of subgrad 1096.765957 dualbound = 2908542.564779, lowerbound=1201446.564779, norm of subgrad 39.851268 stepsize= 1.000000
+dualbound = 2908653.850539, lowerbound=1212507.850539, norm of subgrad 1101.771233 dualbound = 2908653.850539, lowerbound=1212507.850539, norm of subgrad 38.772229 stepsize= 1.000000
+dualbound = 2908820.989529, lowerbound=1206109.989529, norm of subgrad 1098.871689 dualbound = 2908820.989529, lowerbound=1206109.989529, norm of subgrad 39.700617 stepsize= 1.000000
+dualbound = 2908912.990301, lowerbound=1207625.990301, norm of subgrad 1099.567638 dualbound = 2908912.990301, lowerbound=1207625.990301, norm of subgrad 38.923011 stepsize= 1.000000
+dualbound = 2909074.723124, lowerbound=1205120.723124, norm of subgrad 1098.464257 dualbound = 2909074.723124, lowerbound=1205120.723124, norm of subgrad 40.801138 stepsize= 1.000000
+dualbound = 2909178.606788, lowerbound=1212466.606788, norm of subgrad 1101.741624 dualbound = 2909178.606788, lowerbound=1212466.606788, norm of subgrad 38.365136 stepsize= 1.000000
+dualbound = 2909357.198290, lowerbound=1201524.198290, norm of subgrad 1096.728407 dualbound = 2909357.198290, lowerbound=1201524.198290, norm of subgrad 38.309157 stepsize= 1.000000
+dualbound = 2909488.276429, lowerbound=1210187.276429, norm of subgrad 1100.696269 dualbound = 2909488.276429, lowerbound=1210187.276429, norm of subgrad 38.419762 stepsize= 1.000000
+dualbound = 2909613.855611, lowerbound=1205309.855611, norm of subgrad 1098.481614 dualbound = 2909613.855611, lowerbound=1205309.855611, norm of subgrad 38.439292 stepsize= 1.000000
+dualbound = 2909769.800135, lowerbound=1206956.800135, norm of subgrad 1099.223726 dualbound = 2909769.800135, lowerbound=1206956.800135, norm of subgrad 38.625698 stepsize= 1.000000
+dualbound = 2909870.647187, lowerbound=1208493.647187, norm of subgrad 1099.940293 dualbound = 2909870.647187, lowerbound=1208493.647187, norm of subgrad 38.416755 stepsize= 1.000000
+dualbound = 2910013.485276, lowerbound=1206491.485276, norm of subgrad 1099.051630 dualbound = 2910013.485276, lowerbound=1206491.485276, norm of subgrad 39.570672 stepsize= 1.000000
+dualbound = 2910118.777590, lowerbound=1206566.777590, norm of subgrad 1099.106354 dualbound = 2910118.777590, lowerbound=1206566.777590, norm of subgrad 39.664749 stepsize= 1.000000
+dualbound = 2910258.308259, lowerbound=1204866.308259, norm of subgrad 1098.305198 dualbound = 2910258.308259, lowerbound=1204866.308259, norm of subgrad 39.338666 stepsize= 1.000000
+dualbound = 2910415.575194, lowerbound=1209506.575194, norm of subgrad 1100.380650 dualbound = 2910415.575194, lowerbound=1209506.575194, norm of subgrad 38.578063 stepsize= 1.000000
+dualbound = 2910563.572570, lowerbound=1205759.572570, norm of subgrad 1098.675372 dualbound = 2910563.572570, lowerbound=1205759.572570, norm of subgrad 38.418711 stepsize= 1.000000
+dualbound = 2910680.325809, lowerbound=1205506.325809, norm of subgrad 1098.566487 dualbound = 2910680.325809, lowerbound=1205506.325809, norm of subgrad 38.193628 stepsize= 1.000000
+dualbound = 2910825.122480, lowerbound=1205085.122480, norm of subgrad 1098.407539 dualbound = 2910825.122480, lowerbound=1205085.122480, norm of subgrad 39.481599 stepsize= 1.000000
+dualbound = 2910925.491366, lowerbound=1208590.491366, norm of subgrad 1100.019769 dualbound = 2910925.491366, lowerbound=1208590.491366, norm of subgrad 39.412801 stepsize= 1.000000
+dualbound = 2911038.733339, lowerbound=1207170.733339, norm of subgrad 1099.333313 dualbound = 2911038.733339, lowerbound=1207170.733339, norm of subgrad 38.421894 stepsize= 1.000000
+dualbound = 2911216.105098, lowerbound=1207833.105098, norm of subgrad 1099.623620 dualbound = 2911216.105098, lowerbound=1207833.105098, norm of subgrad 38.940618 stepsize= 1.000000
+dualbound = 2911373.513400, lowerbound=1203380.513400, norm of subgrad 1097.593055 dualbound = 2911373.513400, lowerbound=1203380.513400, norm of subgrad 38.566933 stepsize= 1.000000
+dualbound = 2911463.648428, lowerbound=1206118.648428, norm of subgrad 1098.839228 dualbound = 2911463.648428, lowerbound=1206118.648428, norm of subgrad 37.671409 stepsize= 1.000000
+dualbound = 2911620.147445, lowerbound=1209211.147445, norm of subgrad 1100.279577 dualbound = 2911620.147445, lowerbound=1209211.147445, norm of subgrad 39.503152 stepsize= 1.000000
+dualbound = 2911727.216051, lowerbound=1207195.216051, norm of subgrad 1099.309882 dualbound = 2911727.216051, lowerbound=1207195.216051, norm of subgrad 37.337228 stepsize= 1.000000
+dualbound = 2911908.042617, lowerbound=1206686.042617, norm of subgrad 1099.091917 dualbound = 2911908.042617, lowerbound=1206686.042617, norm of subgrad 38.701764 stepsize= 1.000000
+dualbound = 2912004.619976, lowerbound=1210853.619976, norm of subgrad 1101.046602 dualbound = 2912004.619976, lowerbound=1210853.619976, norm of subgrad 39.326548 stepsize= 1.000000
+dualbound = 2912118.927676, lowerbound=1205469.927676, norm of subgrad 1098.609998 dualbound = 2912118.927676, lowerbound=1205469.927676, norm of subgrad 39.853578 stepsize= 1.000000
+dualbound = 2912258.553501, lowerbound=1207645.553501, norm of subgrad 1099.558799 dualbound = 2912258.553501, lowerbound=1207645.553501, norm of subgrad 39.033650 stepsize= 1.000000
+dualbound = 2912425.732788, lowerbound=1204886.732788, norm of subgrad 1098.339990 dualbound = 2912425.732788, lowerbound=1204886.732788, norm of subgrad 40.387861 stepsize= 1.000000
+dualbound = 2912519.621874, lowerbound=1208768.621874, norm of subgrad 1100.086188 dualbound = 2912519.621874, lowerbound=1208768.621874, norm of subgrad 38.921576 stepsize= 1.000000
+dualbound = 2912675.405993, lowerbound=1210587.405993, norm of subgrad 1100.912533 dualbound = 2912675.405993, lowerbound=1210587.405993, norm of subgrad 39.708741 stepsize= 1.000000
+dualbound = 2912815.574544, lowerbound=1203238.574544, norm of subgrad 1097.550261 dualbound = 2912815.574544, lowerbound=1203238.574544, norm of subgrad 38.963682 stepsize= 1.000000
+dualbound = 2912937.564673, lowerbound=1205930.564673, norm of subgrad 1098.774119 dualbound = 2912937.564673, lowerbound=1205930.564673, norm of subgrad 38.678032 stepsize= 1.000000
+dualbound = 2913095.952356, lowerbound=1207504.952356, norm of subgrad 1099.455298 dualbound = 2913095.952356, lowerbound=1207504.952356, norm of subgrad 38.149544 stepsize= 1.000000
+dualbound = 2913222.586888, lowerbound=1207403.586888, norm of subgrad 1099.416476 dualbound = 2913222.586888, lowerbound=1207403.586888, norm of subgrad 37.942516 stepsize= 1.000000
+dualbound = 2913362.767293, lowerbound=1207932.767293, norm of subgrad 1099.677574 dualbound = 2913362.767293, lowerbound=1207932.767293, norm of subgrad 38.706335 stepsize= 1.000000
+dualbound = 2913485.843905, lowerbound=1208523.843905, norm of subgrad 1099.930381 dualbound = 2913485.843905, lowerbound=1208523.843905, norm of subgrad 38.027314 stepsize= 1.000000
+dualbound = 2913626.778348, lowerbound=1208423.778348, norm of subgrad 1099.898076 dualbound = 2913626.778348, lowerbound=1208423.778348, norm of subgrad 38.638510 stepsize= 1.000000
+dualbound = 2913740.072804, lowerbound=1207761.072804, norm of subgrad 1099.615420 dualbound = 2913740.072804, lowerbound=1207761.072804, norm of subgrad 38.811009 stepsize= 1.000000
+dualbound = 2913879.717575, lowerbound=1205590.717575, norm of subgrad 1098.610357 dualbound = 2913879.717575, lowerbound=1205590.717575, norm of subgrad 38.647701 stepsize= 1.000000
+dualbound = 2914046.601107, lowerbound=1207027.601107, norm of subgrad 1099.270486 dualbound = 2914046.601107, lowerbound=1207027.601107, norm of subgrad 39.177590 stepsize= 1.000000
+dualbound = 2914129.995953, lowerbound=1208511.995953, norm of subgrad 1099.992271 dualbound = 2914129.995953, lowerbound=1208511.995953, norm of subgrad 39.425814 stepsize= 1.000000
+dualbound = 2914260.658689, lowerbound=1207577.658689, norm of subgrad 1099.558393 dualbound = 2914260.658689, lowerbound=1207577.658689, norm of subgrad 39.770124 stepsize= 1.000000
+dualbound = 2914405.502958, lowerbound=1203670.502958, norm of subgrad 1097.769330 dualbound = 2914405.502958, lowerbound=1203670.502958, norm of subgrad 39.646491 stepsize= 1.000000
+dualbound = 2914539.120338, lowerbound=1212223.120338, norm of subgrad 1101.668789 dualbound = 2914539.120338, lowerbound=1212223.120338, norm of subgrad 39.807253 stepsize= 1.000000
+dualbound = 2914674.427758, lowerbound=1206545.427758, norm of subgrad 1099.065707 dualbound = 2914674.427758, lowerbound=1206545.427758, norm of subgrad 39.182999 stepsize= 1.000000
+dualbound = 2914794.747343, lowerbound=1209880.747343, norm of subgrad 1100.616531 dualbound = 2914794.747343, lowerbound=1209880.747343, norm of subgrad 39.953968 stepsize= 1.000000
+dualbound = 2914917.573167, lowerbound=1205460.573167, norm of subgrad 1098.570240 dualbound = 2914917.573167, lowerbound=1205460.573167, norm of subgrad 38.972116 stepsize= 1.000000
+dualbound = 2915082.309100, lowerbound=1207872.309100, norm of subgrad 1099.686459 dualbound = 2915082.309100, lowerbound=1207872.309100, norm of subgrad 40.034185 stepsize= 1.000000
+dualbound = 2915207.555342, lowerbound=1208327.555342, norm of subgrad 1099.867063 dualbound = 2915207.555342, lowerbound=1208327.555342, norm of subgrad 38.797503 stepsize= 1.000000
+dualbound = 2915347.411426, lowerbound=1206391.411426, norm of subgrad 1098.977439 dualbound = 2915347.411426, lowerbound=1206391.411426, norm of subgrad 38.727975 stepsize= 1.000000
+dualbound = 2915467.220880, lowerbound=1203866.220880, norm of subgrad 1097.891261 dualbound = 2915467.220880, lowerbound=1203866.220880, norm of subgrad 40.234431 stepsize= 1.000000
+dualbound = 2915591.347350, lowerbound=1207843.347350, norm of subgrad 1099.651466 dualbound = 2915591.347350, lowerbound=1207843.347350, norm of subgrad 38.911778 stepsize= 1.000000
+dualbound = 2915752.343486, lowerbound=1208670.343486, norm of subgrad 1100.021520 dualbound = 2915752.343486, lowerbound=1208670.343486, norm of subgrad 39.217294 stepsize= 1.000000
+dualbound = 2915876.858454, lowerbound=1208192.858454, norm of subgrad 1099.802645 dualbound = 2915876.858454, lowerbound=1208192.858454, norm of subgrad 38.697739 stepsize= 1.000000
+dualbound = 2916019.785629, lowerbound=1204151.785629, norm of subgrad 1097.975312 dualbound = 2916019.785629, lowerbound=1204151.785629, norm of subgrad 39.254645 stepsize= 1.000000
+dualbound = 2916150.650300, lowerbound=1211326.650300, norm of subgrad 1101.230062 dualbound = 2916150.650300, lowerbound=1211326.650300, norm of subgrad 38.882704 stepsize= 1.000000
+dualbound = 2916297.623452, lowerbound=1205147.623452, norm of subgrad 1098.406857 dualbound = 2916297.623452, lowerbound=1205147.623452, norm of subgrad 38.690737 stepsize= 1.000000
+dualbound = 2916416.682112, lowerbound=1212576.682112, norm of subgrad 1101.796116 dualbound = 2916416.682112, lowerbound=1212576.682112, norm of subgrad 38.691842 stepsize= 1.000000
+dualbound = 2916539.335445, lowerbound=1202363.335445, norm of subgrad 1097.156021 dualbound = 2916539.335445, lowerbound=1202363.335445, norm of subgrad 38.867124 stepsize= 1.000000
+dualbound = 2916679.713442, lowerbound=1206201.713442, norm of subgrad 1098.900229 dualbound = 2916679.713442, lowerbound=1206201.713442, norm of subgrad 38.992025 stepsize= 1.000000
+dualbound = 2916815.274872, lowerbound=1208643.274872, norm of subgrad 1100.016943 dualbound = 2916815.274872, lowerbound=1208643.274872, norm of subgrad 39.109608 stepsize= 1.000000
+dualbound = 2916946.119607, lowerbound=1209753.119607, norm of subgrad 1100.498123 dualbound = 2916946.119607, lowerbound=1209753.119607, norm of subgrad 38.390686 stepsize= 1.000000
+dualbound = 2917098.049849, lowerbound=1206806.049849, norm of subgrad 1099.134227 dualbound = 2917098.049849, lowerbound=1206806.049849, norm of subgrad 37.972757 stepsize= 1.000000
+dualbound = 2917217.640590, lowerbound=1211240.640590, norm of subgrad 1101.185107 dualbound = 2917217.640590, lowerbound=1211240.640590, norm of subgrad 38.569298 stepsize= 1.000000
+dualbound = 2917344.015964, lowerbound=1204241.015964, norm of subgrad 1097.989534 dualbound = 2917344.015964, lowerbound=1204241.015964, norm of subgrad 38.293281 stepsize= 1.000000
+dualbound = 2917464.886515, lowerbound=1206305.886515, norm of subgrad 1098.968101 dualbound = 2917464.886515, lowerbound=1206305.886515, norm of subgrad 39.317560 stepsize= 1.000000
+dualbound = 2917611.887755, lowerbound=1208161.887755, norm of subgrad 1099.791293 dualbound = 2917611.887755, lowerbound=1208161.887755, norm of subgrad 39.064066 stepsize= 1.000000
+dualbound = 2917719.915219, lowerbound=1212630.915219, norm of subgrad 1101.824811 dualbound = 2917719.915219, lowerbound=1212630.915219, norm of subgrad 38.665585 stepsize= 1.000000
+dualbound = 2917887.429077, lowerbound=1207638.429077, norm of subgrad 1099.540099 dualbound = 2917887.429077, lowerbound=1207638.429077, norm of subgrad 38.955280 stepsize= 1.000000
+dualbound = 2917995.792188, lowerbound=1206380.792188, norm of subgrad 1098.959868 dualbound = 2917995.792188, lowerbound=1206380.792188, norm of subgrad 37.952116 stepsize= 1.000000
+dualbound = 2918161.934260, lowerbound=1207151.934260, norm of subgrad 1099.314302 dualbound = 2918161.934260, lowerbound=1207151.934260, norm of subgrad 38.809046 stepsize= 1.000000
+dualbound = 2918271.352908, lowerbound=1209630.352908, norm of subgrad 1100.466425 dualbound = 2918271.352908, lowerbound=1209630.352908, norm of subgrad 38.799725 stepsize= 1.000000
+dualbound = 2918402.801229, lowerbound=1206846.801229, norm of subgrad 1099.195070 dualbound = 2918402.801229, lowerbound=1206846.801229, norm of subgrad 38.915913 stepsize= 1.000000
+dualbound = 2918531.238548, lowerbound=1205365.238548, norm of subgrad 1098.526849 dualbound = 2918531.238548, lowerbound=1205365.238548, norm of subgrad 39.044043 stepsize= 1.000000
+dualbound = 2918679.730955, lowerbound=1207294.730955, norm of subgrad 1099.401533 dualbound = 2918679.730955, lowerbound=1207294.730955, norm of subgrad 39.210871 stepsize= 1.000000
+dualbound = 2918787.521570, lowerbound=1205425.521570, norm of subgrad 1098.550646 dualbound = 2918787.521570, lowerbound=1205425.521570, norm of subgrad 38.675452 stepsize= 1.000000
+dualbound = 2918940.237079, lowerbound=1208999.237079, norm of subgrad 1100.169186 dualbound = 2918940.237079, lowerbound=1208999.237079, norm of subgrad 39.060408 stepsize= 1.000000
+dualbound = 2919072.570833, lowerbound=1206020.570832, norm of subgrad 1098.820536 dualbound = 2919072.570833, lowerbound=1206020.570832, norm of subgrad 38.965802 stepsize= 1.000000
+dualbound = 2919221.989694, lowerbound=1207468.989694, norm of subgrad 1099.463501 dualbound = 2919221.989694, lowerbound=1207468.989694, norm of subgrad 38.735241 stepsize= 1.000000
+dualbound = 2919339.499971, lowerbound=1213134.499971, norm of subgrad 1102.054218 dualbound = 2919339.499971, lowerbound=1213134.499971, norm of subgrad 38.813790 stepsize= 1.000000
+dualbound = 2919472.789510, lowerbound=1205830.789510, norm of subgrad 1098.713698 dualbound = 2919472.789510, lowerbound=1205830.789510, norm of subgrad 38.396478 stepsize= 1.000000
+dualbound = 2919604.365604, lowerbound=1209249.365604, norm of subgrad 1100.301943 dualbound = 2919604.365604, lowerbound=1209249.365604, norm of subgrad 39.326532 stepsize= 1.000000
+dualbound = 2919728.447205, lowerbound=1205734.447205, norm of subgrad 1098.693518 dualbound = 2919728.447205, lowerbound=1205734.447205, norm of subgrad 38.949732 stepsize= 1.000000
+dualbound = 2919870.292908, lowerbound=1210289.292908, norm of subgrad 1100.753511 dualbound = 2919870.292908, lowerbound=1210289.292908, norm of subgrad 38.869599 stepsize= 1.000000
+dualbound = 2920016.701569, lowerbound=1206525.701569, norm of subgrad 1099.052638 dualbound = 2920016.701569, lowerbound=1206525.701569, norm of subgrad 39.209803 stepsize= 1.000000
+dualbound = 2920127.045834, lowerbound=1213016.045834, norm of subgrad 1101.989585 dualbound = 2920127.045834, lowerbound=1213016.045834, norm of subgrad 38.410210 stepsize= 1.000000
+dualbound = 2920269.379446, lowerbound=1207776.379446, norm of subgrad 1099.625109 dualbound = 2920269.379446, lowerbound=1207776.379446, norm of subgrad 39.259822 stepsize= 1.000000
+dualbound = 2920391.961778, lowerbound=1205158.961778, norm of subgrad 1098.376967 dualbound = 2920391.961778, lowerbound=1205158.961778, norm of subgrad 37.357494 stepsize= 1.000000
+dualbound = 2920526.167547, lowerbound=1206889.167547, norm of subgrad 1099.226622 dualbound = 2920526.167547, lowerbound=1206889.167547, norm of subgrad 39.296384 stepsize= 1.000000
+dualbound = 2920644.242512, lowerbound=1209912.242512, norm of subgrad 1100.599038 dualbound = 2920644.242512, lowerbound=1209912.242512, norm of subgrad 39.039403 stepsize= 1.000000
+dualbound = 2920795.639864, lowerbound=1207465.639864, norm of subgrad 1099.488808 dualbound = 2920795.639864, lowerbound=1207465.639864, norm of subgrad 39.514521 stepsize= 1.000000
+dualbound = 2920912.784643, lowerbound=1207190.784643, norm of subgrad 1099.341068 dualbound = 2920912.784643, lowerbound=1207190.784643, norm of subgrad 38.433641 stepsize= 1.000000
+dualbound = 2921067.043509, lowerbound=1207687.043509, norm of subgrad 1099.579485 dualbound = 2921067.043509, lowerbound=1207687.043509, norm of subgrad 39.271604 stepsize= 1.000000
+dualbound = 2921206.439260, lowerbound=1210366.439260, norm of subgrad 1100.783557 dualbound = 2921206.439260, lowerbound=1210366.439260, norm of subgrad 38.696198 stepsize= 1.000000
+dualbound = 2921333.042963, lowerbound=1206289.042963, norm of subgrad 1098.950428 dualbound = 2921333.042963, lowerbound=1206289.042963, norm of subgrad 39.110148 stepsize= 1.000000
+dualbound = 2921472.701328, lowerbound=1207592.701328, norm of subgrad 1099.517486 dualbound = 2921472.701328, lowerbound=1207592.701328, norm of subgrad 38.544239 stepsize= 1.000000
+dualbound = 2921596.627932, lowerbound=1205724.627932, norm of subgrad 1098.697696 dualbound = 2921596.627932, lowerbound=1205724.627932, norm of subgrad 39.190900 stepsize= 1.000000
+dualbound = 2921714.414396, lowerbound=1209868.414396, norm of subgrad 1100.590939 dualbound = 2921714.414396, lowerbound=1209868.414396, norm of subgrad 39.367327 stepsize= 1.000000
+dualbound = 2921836.868952, lowerbound=1206186.868952, norm of subgrad 1098.918045 dualbound = 2921836.868952, lowerbound=1206186.868952, norm of subgrad 39.451927 stepsize= 1.000000
+dualbound = 2921999.492490, lowerbound=1213965.492490, norm of subgrad 1102.449769 dualbound = 2921999.492490, lowerbound=1213965.492490, norm of subgrad 39.907688 stepsize= 1.000000
+dualbound = 2922107.906556, lowerbound=1204933.906556, norm of subgrad 1098.339613 dualbound = 2922107.906556, lowerbound=1204933.906556, norm of subgrad 39.043746 stepsize= 1.000000
+dualbound = 2922238.589932, lowerbound=1207224.589932, norm of subgrad 1099.349621 dualbound = 2922238.589932, lowerbound=1207224.589932, norm of subgrad 38.414625 stepsize= 1.000000
+dualbound = 2922408.645692, lowerbound=1204125.645692, norm of subgrad 1097.947925 dualbound = 2922408.645692, lowerbound=1204125.645692, norm of subgrad 39.167024 stepsize= 1.000000
+dualbound = 2922509.387557, lowerbound=1211042.387557, norm of subgrad 1101.066477 dualbound = 2922509.387557, lowerbound=1211042.387557, norm of subgrad 37.493224 stepsize= 1.000000
+dualbound = 2922676.436837, lowerbound=1212055.436837, norm of subgrad 1101.558186 dualbound = 2922676.436837, lowerbound=1212055.436837, norm of subgrad 39.268935 stepsize= 1.000000
+dualbound = 2922776.073103, lowerbound=1210357.073103, norm of subgrad 1100.820636 dualbound = 2922776.073103, lowerbound=1210357.073103, norm of subgrad 39.352716 stepsize= 1.000000
+dualbound = 2922899.993621, lowerbound=1211350.993621, norm of subgrad 1101.282885 dualbound = 2922899.993621, lowerbound=1211350.993621, norm of subgrad 39.961488 stepsize= 1.000000
+dualbound = 2923044.648539, lowerbound=1206831.648539, norm of subgrad 1099.192271 dualbound = 2923044.648539, lowerbound=1206831.648539, norm of subgrad 39.200190 stepsize= 1.000000
+dualbound = 2923175.289644, lowerbound=1209226.289644, norm of subgrad 1100.294638 dualbound = 2923175.289644, lowerbound=1209226.289644, norm of subgrad 39.403567 stepsize= 1.000000
+dualbound = 2923304.436150, lowerbound=1206679.436150, norm of subgrad 1099.155783 dualbound = 2923304.436150, lowerbound=1206679.436150, norm of subgrad 39.914239 stepsize= 1.000000
+dualbound = 2923427.149095, lowerbound=1209497.149095, norm of subgrad 1100.416353 dualbound = 2923427.149095, lowerbound=1209497.149095, norm of subgrad 39.264653 stepsize= 1.000000
+dualbound = 2923568.273803, lowerbound=1210560.273803, norm of subgrad 1100.876593 dualbound = 2923568.273803, lowerbound=1210560.273803, norm of subgrad 38.860323 stepsize= 1.000000
+dualbound = 2923717.300002, lowerbound=1205840.300002, norm of subgrad 1098.747150 dualbound = 2923717.300002, lowerbound=1205840.300002, norm of subgrad 39.421139 stepsize= 1.000000
+dualbound = 2923843.191221, lowerbound=1209611.191221, norm of subgrad 1100.433638 dualbound = 2923843.191221, lowerbound=1209611.191221, norm of subgrad 38.326117 stepsize= 1.000000
+dualbound = 2923997.460510, lowerbound=1203659.460510, norm of subgrad 1097.714654 dualbound = 2923997.460510, lowerbound=1203659.460510, norm of subgrad 38.370161 stepsize= 1.000000
+dualbound = 2924111.185624, lowerbound=1207227.185624, norm of subgrad 1099.377181 dualbound = 2924111.185624, lowerbound=1207227.185624, norm of subgrad 38.945155 stepsize= 1.000000
+dualbound = 2924227.625869, lowerbound=1203797.625869, norm of subgrad 1097.805823 dualbound = 2924227.625869, lowerbound=1203797.625869, norm of subgrad 38.683850 stepsize= 1.000000
+dualbound = 2924395.689963, lowerbound=1210391.689963, norm of subgrad 1100.825004 dualbound = 2924395.689963, lowerbound=1210391.689963, norm of subgrad 39.900678 stepsize= 1.000000
+dualbound = 2924478.030545, lowerbound=1208750.030545, norm of subgrad 1100.069557 dualbound = 2924478.030545, lowerbound=1208750.030545, norm of subgrad 38.540117 stepsize= 1.000000
+dualbound = 2924650.755028, lowerbound=1207692.755028, norm of subgrad 1099.578444 dualbound = 2924650.755028, lowerbound=1207692.755028, norm of subgrad 39.404625 stepsize= 1.000000
+dualbound = 2924779.024119, lowerbound=1209539.024119, norm of subgrad 1100.428109 dualbound = 2924779.024119, lowerbound=1209539.024119, norm of subgrad 39.131434 stepsize= 1.000000
+dualbound = 2924905.259161, lowerbound=1205153.259161, norm of subgrad 1098.464956 dualbound = 2924905.259161, lowerbound=1205153.259161, norm of subgrad 39.977932 stepsize= 1.000000
+dualbound = 2925040.399806, lowerbound=1207773.399806, norm of subgrad 1099.625118 dualbound = 2925040.399806, lowerbound=1207773.399806, norm of subgrad 39.206385 stepsize= 1.000000
+dualbound = 2925165.202212, lowerbound=1208261.202212, norm of subgrad 1099.872812 dualbound = 2925165.202212, lowerbound=1208261.202212, norm of subgrad 39.797015 stepsize= 1.000000
+dualbound = 2925319.538828, lowerbound=1204590.538828, norm of subgrad 1098.157338 dualbound = 2925319.538828, lowerbound=1204590.538828, norm of subgrad 38.901627 stepsize= 1.000000
+dualbound = 2925447.766860, lowerbound=1206682.766860, norm of subgrad 1099.133644 dualbound = 2925447.766860, lowerbound=1206682.766860, norm of subgrad 39.245739 stepsize= 1.000000
+dualbound = 2925574.141513, lowerbound=1211303.141513, norm of subgrad 1101.234372 dualbound = 2925574.141513, lowerbound=1211303.141513, norm of subgrad 39.247607 stepsize= 1.000000
+dualbound = 2925700.953864, lowerbound=1210095.953864, norm of subgrad 1100.690671 dualbound = 2925700.953864, lowerbound=1210095.953864, norm of subgrad 39.380355 stepsize= 1.000000
+dualbound = 2925824.114906, lowerbound=1209160.114906, norm of subgrad 1100.249115 dualbound = 2925824.114906, lowerbound=1209160.114906, norm of subgrad 38.873655 stepsize= 1.000000
+dualbound = 2925986.735069, lowerbound=1207917.735069, norm of subgrad 1099.670739 dualbound = 2925986.735069, lowerbound=1207917.735069, norm of subgrad 38.995130 stepsize= 1.000000
+dualbound = 2926116.374175, lowerbound=1204692.374175, norm of subgrad 1098.207801 dualbound = 2926116.374175, lowerbound=1204692.374175, norm of subgrad 38.699342 stepsize= 1.000000
+dualbound = 2926231.946275, lowerbound=1208741.946275, norm of subgrad 1100.067701 dualbound = 2926231.946275, lowerbound=1208741.946275, norm of subgrad 39.020150 stepsize= 1.000000
+dualbound = 2926364.681323, lowerbound=1212230.681323, norm of subgrad 1101.624565 dualbound = 2926364.681323, lowerbound=1212230.681323, norm of subgrad 38.454324 stepsize= 1.000000
+dualbound = 2926501.553742, lowerbound=1207404.553742, norm of subgrad 1099.455572 dualbound = 2926501.553742, lowerbound=1207404.553742, norm of subgrad 39.177448 stepsize= 1.000000
+dualbound = 2926604.252000, lowerbound=1210114.252000, norm of subgrad 1100.686718 dualbound = 2926604.252000, lowerbound=1210114.252000, norm of subgrad 38.725938 stepsize= 1.000000
+dualbound = 2926786.123137, lowerbound=1209085.123137, norm of subgrad 1100.188222 dualbound = 2926786.123137, lowerbound=1209085.123137, norm of subgrad 38.869926 stepsize= 1.000000
+dualbound = 2926893.003919, lowerbound=1208301.003919, norm of subgrad 1099.867721 dualbound = 2926893.003919, lowerbound=1208301.003919, norm of subgrad 38.921469 stepsize= 1.000000
+dualbound = 2927020.852014, lowerbound=1208995.852014, norm of subgrad 1100.194915 dualbound = 2927020.852014, lowerbound=1208995.852014, norm of subgrad 39.507570 stepsize= 1.000000
+dualbound = 2927173.131289, lowerbound=1203930.131289, norm of subgrad 1097.860251 dualbound = 2927173.131289, lowerbound=1203930.131289, norm of subgrad 38.977933 stepsize= 1.000000
+dualbound = 2927284.225943, lowerbound=1209287.225943, norm of subgrad 1100.327781 dualbound = 2927284.225943, lowerbound=1209287.225943, norm of subgrad 39.307692 stepsize= 1.000000
+dualbound = 2927424.111471, lowerbound=1205983.111471, norm of subgrad 1098.815322 dualbound = 2927424.111471, lowerbound=1205983.111471, norm of subgrad 39.393978 stepsize= 1.000000
+dualbound = 2927565.295473, lowerbound=1207038.295473, norm of subgrad 1099.273986 dualbound = 2927565.295473, lowerbound=1207038.295473, norm of subgrad 38.809586 stepsize= 1.000000
+dualbound = 2927688.863620, lowerbound=1211129.863620, norm of subgrad 1101.155240 dualbound = 2927688.863620, lowerbound=1211129.863620, norm of subgrad 39.199083 stepsize= 1.000000
+dualbound = 2927839.270059, lowerbound=1209564.270059, norm of subgrad 1100.422314 dualbound = 2927839.270059, lowerbound=1209564.270059, norm of subgrad 38.928222 stepsize= 1.000000
+dualbound = 2927968.911591, lowerbound=1211837.911591, norm of subgrad 1101.460808 dualbound = 2927968.911591, lowerbound=1211837.911591, norm of subgrad 38.828360 stepsize= 1.000000
+dualbound = 2928101.634258, lowerbound=1202805.634258, norm of subgrad 1097.359847 dualbound = 2928101.634258, lowerbound=1202805.634258, norm of subgrad 39.060500 stepsize= 1.000000
+dualbound = 2928224.891161, lowerbound=1208379.891161, norm of subgrad 1099.874489 dualbound = 2928224.891161, lowerbound=1208379.891161, norm of subgrad 38.304790 stepsize= 1.000000
+dualbound = 2928362.937409, lowerbound=1211537.937409, norm of subgrad 1101.328261 dualbound = 2928362.937409, lowerbound=1211537.937409, norm of subgrad 39.039035 stepsize= 1.000000
+dualbound = 2928471.520466, lowerbound=1208755.520466, norm of subgrad 1100.028873 dualbound = 2928471.520466, lowerbound=1208755.520466, norm of subgrad 37.637522 stepsize= 1.000000
+dualbound = 2928637.008109, lowerbound=1210881.008109, norm of subgrad 1101.023618 dualbound = 2928637.008109, lowerbound=1210881.008109, norm of subgrad 39.210810 stepsize= 1.000000
+dualbound = 2928731.071196, lowerbound=1207957.071196, norm of subgrad 1099.744094 dualbound = 2928731.071196, lowerbound=1207957.071196, norm of subgrad 39.674464 stepsize= 1.000000
+dualbound = 2928859.595931, lowerbound=1211101.595931, norm of subgrad 1101.163292 dualbound = 2928859.595931, lowerbound=1211101.595931, norm of subgrad 39.843754 stepsize= 1.000000
+dualbound = 2928983.642317, lowerbound=1210524.642317, norm of subgrad 1100.889478 dualbound = 2928983.642317, lowerbound=1210524.642317, norm of subgrad 39.459427 stepsize= 1.000000
+dualbound = 2929145.490937, lowerbound=1209462.490937, norm of subgrad 1100.375159 dualbound = 2929145.490937, lowerbound=1209462.490937, norm of subgrad 39.049310 stepsize= 1.000000
+dualbound = 2929274.329620, lowerbound=1210121.329620, norm of subgrad 1100.683574 dualbound = 2929274.329620, lowerbound=1210121.329620, norm of subgrad 38.882370 stepsize= 1.000000
+dualbound = 2929426.878681, lowerbound=1203629.878681, norm of subgrad 1097.743995 dualbound = 2929426.878681, lowerbound=1203629.878681, norm of subgrad 39.554381 stepsize= 1.000000
+dualbound = 2929555.818967, lowerbound=1211031.818967, norm of subgrad 1101.087108 dualbound = 2929555.818967, lowerbound=1211031.818967, norm of subgrad 38.599745 stepsize= 1.000000
+dualbound = 2929675.756918, lowerbound=1208436.756918, norm of subgrad 1099.924432 dualbound = 2929675.756918, lowerbound=1208436.756918, norm of subgrad 38.947888 stepsize= 1.000000
+dualbound = 2929799.715245, lowerbound=1212556.715245, norm of subgrad 1101.780702 dualbound = 2929799.715245, lowerbound=1212556.715245, norm of subgrad 38.574063 stepsize= 1.000000
+dualbound = 2929943.860189, lowerbound=1206021.860189, norm of subgrad 1098.810657 dualbound = 2929943.860189, lowerbound=1206021.860189, norm of subgrad 38.821965 stepsize= 1.000000
+dualbound = 2930093.262335, lowerbound=1207975.262335, norm of subgrad 1099.652337 dualbound = 2930093.262335, lowerbound=1207975.262335, norm of subgrad 37.542005 stepsize= 1.000000
+dualbound = 2930196.320557, lowerbound=1211280.320557, norm of subgrad 1101.216745 dualbound = 2930196.320557, lowerbound=1211280.320557, norm of subgrad 38.743493 stepsize= 1.000000
+dualbound = 2930324.630394, lowerbound=1209817.630394, norm of subgrad 1100.568322 dualbound = 2930324.630394, lowerbound=1209817.630394, norm of subgrad 39.513413 stepsize= 1.000000
+dualbound = 2930424.686958, lowerbound=1208011.686958, norm of subgrad 1099.770743 dualbound = 2930424.686958, lowerbound=1208011.686958, norm of subgrad 39.800208 stepsize= 1.000000
+dualbound = 2930587.286088, lowerbound=1205588.286088, norm of subgrad 1098.620174 dualbound = 2930587.286088, lowerbound=1205588.286088, norm of subgrad 39.250467 stepsize= 1.000000
+dualbound = 2930724.716741, lowerbound=1212382.716741, norm of subgrad 1101.700375 dualbound = 2930724.716741, lowerbound=1212382.716741, norm of subgrad 38.709568 stepsize= 1.000000
+dualbound = 2930866.869295, lowerbound=1205610.869295, norm of subgrad 1098.589036 dualbound = 2930866.869295, lowerbound=1205610.869295, norm of subgrad 37.804134 stepsize= 1.000000
+dualbound = 2931001.917289, lowerbound=1211333.917289, norm of subgrad 1101.236540 dualbound = 2931001.917289, lowerbound=1211333.917289, norm of subgrad 39.026247 stepsize= 1.000000
+dualbound = 2931112.504327, lowerbound=1207998.504327, norm of subgrad 1099.754293 dualbound = 2931112.504327, lowerbound=1207998.504327, norm of subgrad 39.643247 stepsize= 1.000000
+dualbound = 2931218.387362, lowerbound=1208721.387362, norm of subgrad 1100.043357 dualbound = 2931218.387362, lowerbound=1208721.387362, norm of subgrad 38.469248 stepsize= 1.000000
+dualbound = 2931394.167580, lowerbound=1212094.167580, norm of subgrad 1101.572135 dualbound = 2931394.167580, lowerbound=1212094.167580, norm of subgrad 39.278241 stepsize= 1.000000
+dualbound = 2931520.078223, lowerbound=1208366.078223, norm of subgrad 1099.908214 dualbound = 2931520.078223, lowerbound=1208366.078223, norm of subgrad 39.470377 stepsize= 1.000000
+dualbound = 2931621.148418, lowerbound=1207795.148418, norm of subgrad 1099.636826 dualbound = 2931621.148418, lowerbound=1207795.148418, norm of subgrad 38.821002 stepsize= 1.000000
+dualbound = 2931770.336680, lowerbound=1209852.336680, norm of subgrad 1100.537749 dualbound = 2931770.336680, lowerbound=1209852.336680, norm of subgrad 38.473215 stepsize= 1.000000
+dualbound = 2931921.442882, lowerbound=1207725.442882, norm of subgrad 1099.569208 dualbound = 2931921.442882, lowerbound=1207725.442882, norm of subgrad 38.446147 stepsize= 1.000000
+dualbound = 2932045.949216, lowerbound=1211536.949216, norm of subgrad 1101.326450 dualbound = 2932045.949216, lowerbound=1211536.949216, norm of subgrad 38.826619 stepsize= 1.000000
+dualbound = 2932165.889759, lowerbound=1207884.889759, norm of subgrad 1099.652622 dualbound = 2932165.889759, lowerbound=1207884.889759, norm of subgrad 38.352843 stepsize= 1.000000
+dualbound = 2932312.419173, lowerbound=1207624.419173, norm of subgrad 1099.562831 dualbound = 2932312.419173, lowerbound=1207624.419173, norm of subgrad 39.503537 stepsize= 1.000000
+dualbound = 2932411.702253, lowerbound=1206653.702253, norm of subgrad 1099.129975 dualbound = 2932411.702253, lowerbound=1206653.702253, norm of subgrad 39.144388 stepsize= 1.000000
+dualbound = 2932543.457187, lowerbound=1204313.457187, norm of subgrad 1098.087636 dualbound = 2932543.457187, lowerbound=1204313.457187, norm of subgrad 40.184013 stepsize= 1.000000
+dualbound = 2932675.081645, lowerbound=1211489.081645, norm of subgrad 1101.304264 dualbound = 2932675.081645, lowerbound=1211489.081645, norm of subgrad 38.905327 stepsize= 1.000000
+dualbound = 2932859.874537, lowerbound=1210289.874537, norm of subgrad 1100.761043 dualbound = 2932859.874537, lowerbound=1210289.874537, norm of subgrad 39.620612 stepsize= 1.000000
+dualbound = 2932955.172052, lowerbound=1211462.172052, norm of subgrad 1101.327459 dualbound = 2932955.172052, lowerbound=1211462.172052, norm of subgrad 39.437260 stepsize= 1.000000
+dualbound = 2933064.648853, lowerbound=1209167.648853, norm of subgrad 1100.260264 dualbound = 2933064.648853, lowerbound=1209167.648853, norm of subgrad 38.916279 stepsize= 1.000000
+dualbound = 2933226.254354, lowerbound=1206680.254354, norm of subgrad 1099.127952 dualbound = 2933226.254354, lowerbound=1206680.254354, norm of subgrad 39.542452 stepsize= 1.000000
+dualbound = 2933343.658046, lowerbound=1213422.658046, norm of subgrad 1102.193567 dualbound = 2933343.658046, lowerbound=1213422.658046, norm of subgrad 39.056417 stepsize= 1.000000
+dualbound = 2933485.469163, lowerbound=1206114.469163, norm of subgrad 1098.839146 dualbound = 2933485.469163, lowerbound=1206114.469163, norm of subgrad 38.403270 stepsize= 1.000000
+dualbound = 2933650.965537, lowerbound=1211718.965537, norm of subgrad 1101.387291 dualbound = 2933650.965537, lowerbound=1211718.965537, norm of subgrad 38.736241 stepsize= 1.000000
+dualbound = 2933772.652601, lowerbound=1210281.652601, norm of subgrad 1100.747770 dualbound = 2933772.652601, lowerbound=1210281.652601, norm of subgrad 38.544611 stepsize= 1.000000
+dualbound = 2933891.138927, lowerbound=1211338.138927, norm of subgrad 1101.244813 dualbound = 2933891.138927, lowerbound=1211338.138927, norm of subgrad 38.993414 stepsize= 1.000000
+dualbound = 2933992.310332, lowerbound=1212469.310332, norm of subgrad 1101.767811 dualbound = 2933992.310332, lowerbound=1212469.310332, norm of subgrad 39.040638 stepsize= 1.000000
+dualbound = 2934122.354915, lowerbound=1207166.354915, norm of subgrad 1099.349969 dualbound = 2934122.354915, lowerbound=1207166.354915, norm of subgrad 39.166881 stepsize= 1.000000
+dualbound = 2934276.437980, lowerbound=1210177.437980, norm of subgrad 1100.699522 dualbound = 2934276.437980, lowerbound=1210177.437980, norm of subgrad 38.936911 stepsize= 1.000000
+dualbound = 2934395.115731, lowerbound=1204433.115731, norm of subgrad 1098.090668 dualbound = 2934395.115731, lowerbound=1204433.115731, norm of subgrad 38.583387 stepsize= 1.000000
+dualbound = 2934548.071411, lowerbound=1212988.071411, norm of subgrad 1101.993680 dualbound = 2934548.071411, lowerbound=1212988.071411, norm of subgrad 39.432926 stepsize= 1.000000
+dualbound = 2934663.325928, lowerbound=1206771.325928, norm of subgrad 1099.163012 dualbound = 2934663.325928, lowerbound=1206771.325928, norm of subgrad 38.771826 stepsize= 1.000000
+dualbound = 2934778.669139, lowerbound=1208451.669139, norm of subgrad 1099.943485 dualbound = 2934778.669139, lowerbound=1208451.669139, norm of subgrad 39.234465 stepsize= 1.000000
+dualbound = 2934927.298044, lowerbound=1215765.298044, norm of subgrad 1103.259851 dualbound = 2934927.298044, lowerbound=1215765.298044, norm of subgrad 39.568029 stepsize= 1.000000
+dualbound = 2935054.086688, lowerbound=1206115.086688, norm of subgrad 1098.877649 dualbound = 2935054.086688, lowerbound=1206115.086688, norm of subgrad 39.291076 stepsize= 1.000000
+dualbound = 2935157.697659, lowerbound=1209910.697659, norm of subgrad 1100.616508 dualbound = 2935157.697659, lowerbound=1209910.697659, norm of subgrad 39.365098 stepsize= 1.000000
+dualbound = 2935323.412393, lowerbound=1208284.412393, norm of subgrad 1099.856087 dualbound = 2935323.412393, lowerbound=1208284.412393, norm of subgrad 39.556475 stepsize= 1.000000
+dualbound = 2935439.949630, lowerbound=1211054.949630, norm of subgrad 1101.103060 dualbound = 2935439.949630, lowerbound=1211054.949630, norm of subgrad 38.594523 stepsize= 1.000000
+dualbound = 2935586.744125, lowerbound=1209013.744125, norm of subgrad 1100.170780 dualbound = 2935586.744125, lowerbound=1209013.744125, norm of subgrad 38.843204 stepsize= 1.000000
+dualbound = 2935716.476728, lowerbound=1210474.476728, norm of subgrad 1100.850797 dualbound = 2935716.476728, lowerbound=1210474.476728, norm of subgrad 39.086220 stepsize= 1.000000
+dualbound = 2935845.176705, lowerbound=1212913.176705, norm of subgrad 1101.959245 dualbound = 2935845.176705, lowerbound=1212913.176705, norm of subgrad 39.111379 stepsize= 1.000000
+dualbound = 2935964.934508, lowerbound=1207788.934508, norm of subgrad 1099.602626 dualbound = 2935964.934508, lowerbound=1207788.934508, norm of subgrad 38.167497 stepsize= 1.000000
+dualbound = 2936133.336587, lowerbound=1211454.336587, norm of subgrad 1101.318908 dualbound = 2936133.336587, lowerbound=1211454.336587, norm of subgrad 40.216938 stepsize= 1.000000
+dualbound = 2936174.165291, lowerbound=1211292.165291, norm of subgrad 1101.248004 dualbound = 2936174.165291, lowerbound=1211292.165291, norm of subgrad 38.675945 stepsize= 1.000000
+dualbound = 2936365.868813, lowerbound=1206995.868813, norm of subgrad 1099.266514 dualbound = 2936365.868813, lowerbound=1206995.868813, norm of subgrad 39.783207 stepsize= 1.000000
+dualbound = 2936484.495641, lowerbound=1210735.495641, norm of subgrad 1101.002042 dualbound = 2936484.495641, lowerbound=1210735.495641, norm of subgrad 39.857582 stepsize= 1.000000
+dualbound = 2936597.208907, lowerbound=1210252.208907, norm of subgrad 1100.770280 dualbound = 2936597.208907, lowerbound=1210252.208907, norm of subgrad 39.442531 stepsize= 1.000000
+dualbound = 2936763.378590, lowerbound=1210503.378590, norm of subgrad 1100.855294 dualbound = 2936763.378590, lowerbound=1210503.378590, norm of subgrad 39.308646 stepsize= 1.000000
+dualbound = 2936910.037946, lowerbound=1210882.037946, norm of subgrad 1101.036347 dualbound = 2936910.037946, lowerbound=1210882.037946, norm of subgrad 39.314874 stepsize= 1.000000
+dualbound = 2937020.509916, lowerbound=1207056.509916, norm of subgrad 1099.265896 dualbound = 2937020.509916, lowerbound=1207056.509916, norm of subgrad 37.940374 stepsize= 1.000000
+dualbound = 2937193.537953, lowerbound=1206178.537953, norm of subgrad 1098.885134 dualbound = 2937193.537953, lowerbound=1206178.537953, norm of subgrad 39.281396 stepsize= 1.000000
+dualbound = 2937256.949222, lowerbound=1205415.949222, norm of subgrad 1098.546744 dualbound = 2937256.949222, lowerbound=1205415.949222, norm of subgrad 38.110514 stepsize= 1.000000
+dualbound = 2937448.837792, lowerbound=1211345.837792, norm of subgrad 1101.197456 dualbound = 2937448.837792, lowerbound=1211345.837792, norm of subgrad 38.495306 stepsize= 1.000000
+dualbound = 2937566.283378, lowerbound=1207269.283378, norm of subgrad 1099.398601 dualbound = 2937566.283378, lowerbound=1207269.283378, norm of subgrad 39.056953 stepsize= 1.000000
+dualbound = 2937678.287062, lowerbound=1213693.287062, norm of subgrad 1102.312246 dualbound = 2937678.287062, lowerbound=1213693.287062, norm of subgrad 38.871631 stepsize= 1.000000
+dualbound = 2937818.276688, lowerbound=1208104.276688, norm of subgrad 1099.770556 dualbound = 2937818.276688, lowerbound=1208104.276688, norm of subgrad 39.127863 stepsize= 1.000000
+dualbound = 2937943.785578, lowerbound=1209660.785578, norm of subgrad 1100.473891 dualbound = 2937943.785578, lowerbound=1209660.785578, norm of subgrad 38.826652 stepsize= 1.000000
+dualbound = 2938101.080301, lowerbound=1211252.080301, norm of subgrad 1101.199383 dualbound = 2938101.080301, lowerbound=1211252.080301, norm of subgrad 39.310237 stepsize= 1.000000
+dualbound = 2938197.823241, lowerbound=1213342.823241, norm of subgrad 1102.165969 dualbound = 2938197.823241, lowerbound=1213342.823241, norm of subgrad 39.035150 stepsize= 1.000000
+dualbound = 2938334.672271, lowerbound=1203155.672271, norm of subgrad 1097.533449 dualbound = 2938334.672271, lowerbound=1203155.672271, norm of subgrad 39.507582 stepsize= 1.000000
+dualbound = 2938460.267106, lowerbound=1209467.267106, norm of subgrad 1100.389143 dualbound = 2938460.267106, lowerbound=1209467.267106, norm of subgrad 38.917796 stepsize= 1.000000
+dualbound = 2938593.315838, lowerbound=1212975.315838, norm of subgrad 1102.004680 dualbound = 2938593.315838, lowerbound=1212975.315838, norm of subgrad 39.649070 stepsize= 1.000000
+dualbound = 2938714.204916, lowerbound=1203681.204916, norm of subgrad 1097.786047 dualbound = 2938714.204916, lowerbound=1203681.204916, norm of subgrad 39.672271 stepsize= 1.000000
+dualbound = 2938823.699941, lowerbound=1211539.699941, norm of subgrad 1101.354938 dualbound = 2938823.699941, lowerbound=1211539.699941, norm of subgrad 39.401713 stepsize= 1.000000
+dualbound = 2938999.045535, lowerbound=1206886.045535, norm of subgrad 1099.201094 dualbound = 2938999.045535, lowerbound=1206886.045535, norm of subgrad 39.145186 stepsize= 1.000000
+dualbound = 2939128.055399, lowerbound=1214504.055399, norm of subgrad 1102.683570 dualbound = 2939128.055399, lowerbound=1214504.055399, norm of subgrad 39.191962 stepsize= 1.000000
+dualbound = 2939261.286408, lowerbound=1206942.286408, norm of subgrad 1099.225767 dualbound = 2939261.286408, lowerbound=1206942.286408, norm of subgrad 38.577597 stepsize= 1.000000
+dualbound = 2939416.907463, lowerbound=1212593.907463, norm of subgrad 1101.777159 dualbound = 2939416.907463, lowerbound=1212593.907463, norm of subgrad 38.400795 stepsize= 1.000000
+dualbound = 2939544.991494, lowerbound=1205083.991494, norm of subgrad 1098.411577 dualbound = 2939544.991494, lowerbound=1205083.991494, norm of subgrad 39.396498 stepsize= 1.000000
+dualbound = 2939640.462729, lowerbound=1214829.462729, norm of subgrad 1102.862849 dualbound = 2939640.462729, lowerbound=1214829.462729, norm of subgrad 39.654397 stepsize= 1.000000
+dualbound = 2939765.240556, lowerbound=1208557.240556, norm of subgrad 1099.988746 dualbound = 2939765.240556, lowerbound=1208557.240556, norm of subgrad 39.278211 stepsize= 1.000000
+dualbound = 2939902.052449, lowerbound=1215693.052449, norm of subgrad 1103.240251 dualbound = 2939902.052449, lowerbound=1215693.052449, norm of subgrad 39.784569 stepsize= 1.000000
+dualbound = 2940052.855767, lowerbound=1206123.855767, norm of subgrad 1098.874358 dualbound = 2940052.855767, lowerbound=1206123.855767, norm of subgrad 39.392935 stepsize= 1.000000
+dualbound = 2940192.621321, lowerbound=1211903.621321, norm of subgrad 1101.482011 dualbound = 2940192.621321, lowerbound=1211903.621321, norm of subgrad 38.713894 stepsize= 1.000000
+dualbound = 2940327.086754, lowerbound=1210824.086754, norm of subgrad 1100.994590 dualbound = 2940327.086754, lowerbound=1210824.086754, norm of subgrad 38.722932 stepsize= 1.000000
+dualbound = 2940449.678935, lowerbound=1208117.678935, norm of subgrad 1099.763010 dualbound = 2940449.678935, lowerbound=1208117.678935, norm of subgrad 38.517427 stepsize= 1.000000
+dualbound = 2940590.037018, lowerbound=1208043.037018, norm of subgrad 1099.737713 dualbound = 2940590.037018, lowerbound=1208043.037018, norm of subgrad 38.991769 stepsize= 1.000000
+dualbound = 2940708.523299, lowerbound=1213204.523299, norm of subgrad 1102.094154 dualbound = 2940708.523299, lowerbound=1213204.523299, norm of subgrad 39.057474 stepsize= 1.000000
+dualbound = 2940852.275594, lowerbound=1207979.275594, norm of subgrad 1099.693719 dualbound = 2940852.275594, lowerbound=1207979.275594, norm of subgrad 38.610262 stepsize= 1.000000
+dualbound = 2940961.935692, lowerbound=1213910.935692, norm of subgrad 1102.401894 dualbound = 2940961.935692, lowerbound=1213910.935692, norm of subgrad 38.583158 stepsize= 1.000000
+dualbound = 2941098.689537, lowerbound=1207798.689537, norm of subgrad 1099.604788 dualbound = 2941098.689537, lowerbound=1207798.689537, norm of subgrad 38.324324 stepsize= 1.000000
+dualbound = 2941254.022735, lowerbound=1210768.022735, norm of subgrad 1100.957775 dualbound = 2941254.022735, lowerbound=1210768.022735, norm of subgrad 38.669538 stepsize= 1.000000
+dualbound = 2941367.153532, lowerbound=1210412.153532, norm of subgrad 1100.817947 dualbound = 2941367.153532, lowerbound=1210412.153532, norm of subgrad 38.744429 stepsize= 1.000000
+dualbound = 2941481.116708, lowerbound=1214235.116708, norm of subgrad 1102.577488 dualbound = 2941481.116708, lowerbound=1214235.116708, norm of subgrad 39.445699 stepsize= 1.000000
+dualbound = 2941589.606710, lowerbound=1208157.606710, norm of subgrad 1099.784800 dualbound = 2941589.606710, lowerbound=1208157.606710, norm of subgrad 38.438132 stepsize= 1.000000
+dualbound = 2941752.418779, lowerbound=1206251.418779, norm of subgrad 1098.902370 dualbound = 2941752.418779, lowerbound=1206251.418779, norm of subgrad 38.701577 stepsize= 1.000000
+dualbound = 2941889.011600, lowerbound=1209000.011600, norm of subgrad 1100.156358 dualbound = 2941889.011600, lowerbound=1209000.011600, norm of subgrad 38.478472 stepsize= 1.000000
+dualbound = 2942035.535895, lowerbound=1213309.535895, norm of subgrad 1102.120472 dualbound = 2942035.535895, lowerbound=1213309.535895, norm of subgrad 38.813970 stepsize= 1.000000
+dualbound = 2942127.513860, lowerbound=1209227.513860, norm of subgrad 1100.313371 dualbound = 2942127.513860, lowerbound=1209227.513860, norm of subgrad 39.420527 stepsize= 1.000000
+dualbound = 2942233.018200, lowerbound=1212550.018200, norm of subgrad 1101.828035 dualbound = 2942233.018200, lowerbound=1212550.018200, norm of subgrad 39.755557 stepsize= 1.000000
+dualbound = 2942399.308578, lowerbound=1210844.308578, norm of subgrad 1101.020576 dualbound = 2942399.308578, lowerbound=1210844.308578, norm of subgrad 39.601646 stepsize= 1.000000
+dualbound = 2942531.532749, lowerbound=1213187.532749, norm of subgrad 1102.086899 dualbound = 2942531.532749, lowerbound=1213187.532749, norm of subgrad 39.245690 stepsize= 1.000000
+dualbound = 2942684.371540, lowerbound=1206589.371540, norm of subgrad 1099.067046 dualbound = 2942684.371540, lowerbound=1206589.371540, norm of subgrad 38.882371 stepsize= 1.000000
+dualbound = 2942793.766164, lowerbound=1207696.766164, norm of subgrad 1099.577540 dualbound = 2942793.766164, lowerbound=1207696.766164, norm of subgrad 38.514862 stepsize= 1.000000
+dualbound = 2942930.917057, lowerbound=1210856.917057, norm of subgrad 1101.042196 dualbound = 2942930.917057, lowerbound=1210856.917057, norm of subgrad 39.675570 stepsize= 1.000000
+dualbound = 2943049.845491, lowerbound=1209587.845491, norm of subgrad 1100.451655 dualbound = 2943049.845491, lowerbound=1209587.845491, norm of subgrad 39.050332 stepsize= 1.000000
+dualbound = 2943197.749117, lowerbound=1212092.749117, norm of subgrad 1101.572852 dualbound = 2943197.749117, lowerbound=1212092.749117, norm of subgrad 38.960283 stepsize= 1.000000
+dualbound = 2943325.769526, lowerbound=1205604.769526, norm of subgrad 1098.623580 dualbound = 2943325.769526, lowerbound=1205604.769526, norm of subgrad 38.691348 stepsize= 1.000000
+dualbound = 2943455.596627, lowerbound=1206740.596627, norm of subgrad 1099.144939 dualbound = 2943455.596627, lowerbound=1206740.596627, norm of subgrad 38.843624 stepsize= 1.000000
+dualbound = 2943590.804951, lowerbound=1215021.804951, norm of subgrad 1102.904259 dualbound = 2943590.804951, lowerbound=1215021.804951, norm of subgrad 38.874263 stepsize= 1.000000
+dualbound = 2943710.522914, lowerbound=1208211.522914, norm of subgrad 1099.824769 dualbound = 2943710.522914, lowerbound=1208211.522914, norm of subgrad 39.022019 stepsize= 1.000000
+dualbound = 2943825.096756, lowerbound=1210463.096756, norm of subgrad 1100.862433 dualbound = 2943825.096756, lowerbound=1210463.096756, norm of subgrad 39.364627 stepsize= 1.000000
+dualbound = 2943974.039566, lowerbound=1208158.039566, norm of subgrad 1099.799545 dualbound = 2943974.039566, lowerbound=1208158.039566, norm of subgrad 39.369313 stepsize= 1.000000
+dualbound = 2944109.486389, lowerbound=1212686.486389, norm of subgrad 1101.806465 dualbound = 2944109.486389, lowerbound=1212686.486389, norm of subgrad 37.768331 stepsize= 1.000000
+dualbound = 2944254.794555, lowerbound=1211576.794555, norm of subgrad 1101.330920 dualbound = 2944254.794555, lowerbound=1211576.794555, norm of subgrad 38.707986 stepsize= 1.000000
+dualbound = 2944345.635671, lowerbound=1212146.635671, norm of subgrad 1101.618190 dualbound = 2944345.635671, lowerbound=1212146.635671, norm of subgrad 38.818051 stepsize= 1.000000
+dualbound = 2944492.775093, lowerbound=1212022.775093, norm of subgrad 1101.541091 dualbound = 2944492.775093, lowerbound=1212022.775093, norm of subgrad 38.950474 stepsize= 1.000000
+dualbound = 2944612.572998, lowerbound=1208911.572998, norm of subgrad 1100.137070 dualbound = 2944612.572998, lowerbound=1208911.572998, norm of subgrad 38.856118 stepsize= 1.000000
+dualbound = 2944747.269670, lowerbound=1208653.269670, norm of subgrad 1100.002395 dualbound = 2944747.269670, lowerbound=1208653.269670, norm of subgrad 38.557706 stepsize= 1.000000
+dualbound = 2944885.103764, lowerbound=1208794.103764, norm of subgrad 1100.064591 dualbound = 2944885.103764, lowerbound=1208794.103764, norm of subgrad 38.546519 stepsize= 1.000000
+dualbound = 2945024.340783, lowerbound=1207900.340783, norm of subgrad 1099.682382 dualbound = 2945024.340783, lowerbound=1207900.340783, norm of subgrad 39.245854 stepsize= 1.000000
+dualbound = 2945125.476629, lowerbound=1216686.476629, norm of subgrad 1103.675893 dualbound = 2945125.476629, lowerbound=1216686.476629, norm of subgrad 38.924746 stepsize= 1.000000
+dualbound = 2945261.963730, lowerbound=1209391.963730, norm of subgrad 1100.360379 dualbound = 2945261.963730, lowerbound=1209391.963730, norm of subgrad 39.210803 stepsize= 1.000000
+dualbound = 2945392.810899, lowerbound=1211483.810899, norm of subgrad 1101.310497 dualbound = 2945392.810899, lowerbound=1211483.810899, norm of subgrad 39.138819 stepsize= 1.000000
+dualbound = 2945535.650145, lowerbound=1216996.650145, norm of subgrad 1103.764309 dualbound = 2945535.650145, lowerbound=1216996.650145, norm of subgrad 37.971558 stepsize= 1.000000
+dualbound = 2945680.086114, lowerbound=1209827.086114, norm of subgrad 1100.557171 dualbound = 2945680.086114, lowerbound=1209827.086114, norm of subgrad 39.286588 stepsize= 1.000000
+dualbound = 2945767.108652, lowerbound=1208660.108652, norm of subgrad 1100.034140 dualbound = 2945767.108652, lowerbound=1208660.108652, norm of subgrad 38.755936 stepsize= 1.000000
+dualbound = 2945921.091145, lowerbound=1207677.091145, norm of subgrad 1099.569048 dualbound = 2945921.091145, lowerbound=1207677.091145, norm of subgrad 39.102206 stepsize= 1.000000
+dualbound = 2946060.404143, lowerbound=1208404.404143, norm of subgrad 1099.928363 dualbound = 2946060.404143, lowerbound=1208404.404143, norm of subgrad 39.715400 stepsize= 1.000000
+dualbound = 2946163.900013, lowerbound=1210241.900013, norm of subgrad 1100.755150 dualbound = 2946163.900013, lowerbound=1210241.900013, norm of subgrad 39.031985 stepsize= 1.000000
+dualbound = 2946301.108830, lowerbound=1213975.108830, norm of subgrad 1102.448688 dualbound = 2946301.108830, lowerbound=1213975.108830, norm of subgrad 39.436136 stepsize= 1.000000
+dualbound = 2946424.616129, lowerbound=1208399.616129, norm of subgrad 1099.918913 dualbound = 2946424.616129, lowerbound=1208399.616129, norm of subgrad 39.312941 stepsize= 1.000000
+dualbound = 2946566.861299, lowerbound=1211339.861299, norm of subgrad 1101.201099 dualbound = 2946566.861299, lowerbound=1211339.861299, norm of subgrad 38.029530 stepsize= 1.000000
+dualbound = 2946724.180214, lowerbound=1211431.180214, norm of subgrad 1101.281608 dualbound = 2946724.180214, lowerbound=1211431.180214, norm of subgrad 39.335975 stepsize= 1.000000
+dualbound = 2946804.918218, lowerbound=1210661.918218, norm of subgrad 1100.916399 dualbound = 2946804.918218, lowerbound=1210661.918218, norm of subgrad 37.891134 stepsize= 1.000000
+dualbound = 2946970.026516, lowerbound=1207784.026516, norm of subgrad 1099.587662 dualbound = 2946970.026516, lowerbound=1207784.026516, norm of subgrad 38.394118 stepsize= 1.000000
+dualbound = 2947078.156093, lowerbound=1211870.156093, norm of subgrad 1101.477715 dualbound = 2947078.156093, lowerbound=1211870.156093, norm of subgrad 38.615147 stepsize= 1.000000
+dualbound = 2947207.728241, lowerbound=1209066.728241, norm of subgrad 1100.206675 dualbound = 2947207.728241, lowerbound=1209066.728241, norm of subgrad 38.956028 stepsize= 1.000000
+dualbound = 2947337.546022, lowerbound=1214118.546022, norm of subgrad 1102.493785 dualbound = 2947337.546022, lowerbound=1214118.546022, norm of subgrad 38.779089 stepsize= 1.000000
+dualbound = 2947472.927627, lowerbound=1208883.927627, norm of subgrad 1100.137231 dualbound = 2947472.927627, lowerbound=1208883.927627, norm of subgrad 39.412962 stepsize= 1.000000
+dualbound = 2947596.598521, lowerbound=1212219.598521, norm of subgrad 1101.636328 dualbound = 2947596.598521, lowerbound=1212219.598521, norm of subgrad 38.815859 stepsize= 1.000000
+dualbound = 2947725.662440, lowerbound=1213455.662440, norm of subgrad 1102.212621 dualbound = 2947725.662440, lowerbound=1213455.662440, norm of subgrad 39.320019 stepsize= 1.000000
+dualbound = 2947866.124950, lowerbound=1211108.124950, norm of subgrad 1101.145370 dualbound = 2947866.124950, lowerbound=1211108.124950, norm of subgrad 39.413989 stepsize= 1.000000
+dualbound = 2947971.039181, lowerbound=1212056.039181, norm of subgrad 1101.578885 dualbound = 2947971.039181, lowerbound=1212056.039181, norm of subgrad 39.050150 stepsize= 1.000000
+dualbound = 2948131.081719, lowerbound=1210639.081719, norm of subgrad 1100.912840 dualbound = 2948131.081719, lowerbound=1210639.081719, norm of subgrad 39.115758 stepsize= 1.000000
+dualbound = 2948273.111946, lowerbound=1215114.111946, norm of subgrad 1102.935226 dualbound = 2948273.111946, lowerbound=1215114.111946, norm of subgrad 38.652687 stepsize= 1.000000
+dualbound = 2948402.988961, lowerbound=1204174.988961, norm of subgrad 1097.942161 dualbound = 2948402.988961, lowerbound=1204174.988961, norm of subgrad 37.840151 stepsize= 1.000000
+dualbound = 2948542.036169, lowerbound=1209786.036169, norm of subgrad 1100.502629 dualbound = 2948542.036169, lowerbound=1209786.036169, norm of subgrad 38.197476 stepsize= 1.000000
+dualbound = 2948659.307094, lowerbound=1213227.307094, norm of subgrad 1102.110388 dualbound = 2948659.307094, lowerbound=1213227.307094, norm of subgrad 39.208047 stepsize= 1.000000
+dualbound = 2948778.829349, lowerbound=1209719.829349, norm of subgrad 1100.517074 dualbound = 2948778.829349, lowerbound=1209719.829349, norm of subgrad 39.211252 stepsize= 1.000000
+dualbound = 2948909.823020, lowerbound=1205830.823020, norm of subgrad 1098.733736 dualbound = 2948909.823020, lowerbound=1205830.823020, norm of subgrad 38.935763 stepsize= 1.000000
+dualbound = 2949065.567956, lowerbound=1214633.567956, norm of subgrad 1102.722344 dualbound = 2949065.567956, lowerbound=1214633.567956, norm of subgrad 38.971078 stepsize= 1.000000
+dualbound = 2949173.671748, lowerbound=1210310.671748, norm of subgrad 1100.806828 dualbound = 2949173.671748, lowerbound=1210310.671748, norm of subgrad 39.662372 stepsize= 1.000000
+dualbound = 2949279.007909, lowerbound=1215575.007909, norm of subgrad 1103.168168 dualbound = 2949279.007909, lowerbound=1215575.007909, norm of subgrad 38.863044 stepsize= 1.000000
+dualbound = 2949438.005633, lowerbound=1206722.005633, norm of subgrad 1099.118286 dualbound = 2949438.005633, lowerbound=1206722.005633, norm of subgrad 38.703976 stepsize= 1.000000
+dualbound = 2949557.516593, lowerbound=1217970.516593, norm of subgrad 1104.255186 dualbound = 2949557.516593, lowerbound=1217970.516593, norm of subgrad 39.096176 stepsize= 1.000000
+dualbound = 2949675.952562, lowerbound=1205884.952562, norm of subgrad 1098.783397 dualbound = 2949675.952562, lowerbound=1205884.952562, norm of subgrad 39.477031 stepsize= 1.000000
+dualbound = 2949790.688900, lowerbound=1213126.688900, norm of subgrad 1102.039332 dualbound = 2949790.688900, lowerbound=1213126.688900, norm of subgrad 38.454341 stepsize= 1.000000
+dualbound = 2949969.136168, lowerbound=1209994.136168, norm of subgrad 1100.614890 dualbound = 2949969.136168, lowerbound=1209994.136168, norm of subgrad 39.210295 stepsize= 1.000000
+dualbound = 2950075.967860, lowerbound=1210743.967860, norm of subgrad 1100.955480 dualbound = 2950075.967860, lowerbound=1210743.967860, norm of subgrad 38.286181 stepsize= 1.000000
+dualbound = 2950212.882337, lowerbound=1209006.882337, norm of subgrad 1100.196747 dualbound = 2950212.882337, lowerbound=1209006.882337, norm of subgrad 39.533713 stepsize= 1.000000
+dualbound = 2950325.344434, lowerbound=1210541.344434, norm of subgrad 1100.876625 dualbound = 2950325.344434, lowerbound=1210541.344434, norm of subgrad 38.735799 stepsize= 1.000000
+dualbound = 2950485.330941, lowerbound=1209311.330941, norm of subgrad 1100.313742 dualbound = 2950485.330941, lowerbound=1209311.330941, norm of subgrad 39.229919 stepsize= 1.000000
+dualbound = 2950603.041446, lowerbound=1211993.041446, norm of subgrad 1101.502629 dualbound = 2950603.041446, lowerbound=1211993.041446, norm of subgrad 37.851163 stepsize= 1.000000
+dualbound = 2950767.706482, lowerbound=1211421.706482, norm of subgrad 1101.227818 dualbound = 2950767.706482, lowerbound=1211421.706482, norm of subgrad 38.021902 stepsize= 1.000000
+dualbound = 2950879.774915, lowerbound=1208485.774915, norm of subgrad 1099.921713 dualbound = 2950879.774915, lowerbound=1208485.774915, norm of subgrad 38.132249 stepsize= 1.000000
+dualbound = 2951003.736004, lowerbound=1212157.736004, norm of subgrad 1101.599626 dualbound = 2951003.736004, lowerbound=1212157.736004, norm of subgrad 38.574099 stepsize= 1.000000
+dualbound = 2951135.836740, lowerbound=1213366.836740, norm of subgrad 1102.164161 dualbound = 2951135.836740, lowerbound=1213366.836740, norm of subgrad 39.129282 stepsize= 1.000000
+dualbound = 2951230.576502, lowerbound=1209314.576502, norm of subgrad 1100.344753 dualbound = 2951230.576502, lowerbound=1209314.576502, norm of subgrad 39.226774 stepsize= 1.000000
+dualbound = 2951387.594180, lowerbound=1212718.594180, norm of subgrad 1101.833742 dualbound = 2951387.594180, lowerbound=1212718.594180, norm of subgrad 38.418976 stepsize= 1.000000
+dualbound = 2951525.696138, lowerbound=1210270.696138, norm of subgrad 1100.715084 dualbound = 2951525.696138, lowerbound=1210270.696138, norm of subgrad 37.961849 stepsize= 1.000000
+dualbound = 2951658.010520, lowerbound=1210451.010520, norm of subgrad 1100.825604 dualbound = 2951658.010520, lowerbound=1210451.010520, norm of subgrad 38.708066 stepsize= 1.000000
+dualbound = 2951776.445566, lowerbound=1208684.445566, norm of subgrad 1100.037020 dualbound = 2951776.445566, lowerbound=1208684.445566, norm of subgrad 38.928589 stepsize= 1.000000
+dualbound = 2951874.453324, lowerbound=1216585.453324, norm of subgrad 1103.634203 dualbound = 2951874.453324, lowerbound=1216585.453324, norm of subgrad 39.000099 stepsize= 1.000000
+dualbound = 2952019.984096, lowerbound=1207178.984096, norm of subgrad 1099.344343 dualbound = 2952019.984096, lowerbound=1207178.984096, norm of subgrad 39.045240 stepsize= 1.000000
+dualbound = 2952172.875371, lowerbound=1211678.875371, norm of subgrad 1101.399962 dualbound = 2952172.875371, lowerbound=1211678.875371, norm of subgrad 39.444788 stepsize= 1.000000
+dualbound = 2952269.965801, lowerbound=1210954.965801, norm of subgrad 1101.089899 dualbound = 2952269.965801, lowerbound=1210954.965801, norm of subgrad 39.256725 stepsize= 1.000000
+dualbound = 2952422.699835, lowerbound=1210351.699835, norm of subgrad 1100.823192 dualbound = 2952422.699835, lowerbound=1210351.699835, norm of subgrad 40.158860 stepsize= 1.000000
+dualbound = 2952514.058595, lowerbound=1210370.058595, norm of subgrad 1100.822901 dualbound = 2952514.058595, lowerbound=1210370.058595, norm of subgrad 39.145354 stepsize= 1.000000
+dualbound = 2952688.085197, lowerbound=1214105.085197, norm of subgrad 1102.505821 dualbound = 2952688.085197, lowerbound=1214105.085197, norm of subgrad 39.850051 stepsize= 1.000000
+dualbound = 2952793.596824, lowerbound=1212760.596824, norm of subgrad 1101.888650 dualbound = 2952793.596824, lowerbound=1212760.596824, norm of subgrad 38.775142 stepsize= 1.000000
+dualbound = 2952943.011481, lowerbound=1204516.011481, norm of subgrad 1098.150723 dualbound = 2952943.011481, lowerbound=1204516.011481, norm of subgrad 39.603215 stepsize= 1.000000
+dualbound = 2953061.692945, lowerbound=1210367.692945, norm of subgrad 1100.774588 dualbound = 2953061.692945, lowerbound=1210367.692945, norm of subgrad 38.153394 stepsize= 1.000000
+dualbound = 2953222.999841, lowerbound=1209404.999841, norm of subgrad 1100.355397 dualbound = 2953222.999841, lowerbound=1209404.999841, norm of subgrad 39.221256 stepsize= 1.000000
+dualbound = 2953313.563618, lowerbound=1214255.563618, norm of subgrad 1102.607167 dualbound = 2953313.563618, lowerbound=1214255.563618, norm of subgrad 39.718557 stepsize= 1.000000
+dualbound = 2953474.782723, lowerbound=1212509.782723, norm of subgrad 1101.765303 dualbound = 2953474.782723, lowerbound=1212509.782723, norm of subgrad 39.220136 stepsize= 1.000000
+dualbound = 2953579.451115, lowerbound=1208840.451115, norm of subgrad 1100.100655 dualbound = 2953579.451115, lowerbound=1208840.451115, norm of subgrad 38.544369 stepsize= 1.000000
+dualbound = 2953721.002615, lowerbound=1210872.002615, norm of subgrad 1101.039056 dualbound = 2953721.002615, lowerbound=1210872.002615, norm of subgrad 39.453156 stepsize= 1.000000
+dualbound = 2953834.660659, lowerbound=1211256.660659, norm of subgrad 1101.176489 dualbound = 2953834.660659, lowerbound=1211256.660659, norm of subgrad 38.034958 stepsize= 1.000000
+dualbound = 2954007.667988, lowerbound=1212202.667988, norm of subgrad 1101.598233 dualbound = 2954007.667988, lowerbound=1212202.667988, norm of subgrad 38.587658 stepsize= 1.000000
+dualbound = 2954126.023876, lowerbound=1209494.023876, norm of subgrad 1100.378582 dualbound = 2954126.023876, lowerbound=1209494.023876, norm of subgrad 38.175331 stepsize= 1.000000
+dualbound = 2954238.910960, lowerbound=1211797.910960, norm of subgrad 1101.443104 dualbound = 2954238.910960, lowerbound=1211797.910960, norm of subgrad 38.624954 stepsize= 1.000000
+dualbound = 2954364.522301, lowerbound=1211407.522301, norm of subgrad 1101.282671 dualbound = 2954364.522301, lowerbound=1211407.522301, norm of subgrad 39.263359 stepsize= 1.000000
+dualbound = 2954495.221369, lowerbound=1212017.221369, norm of subgrad 1101.526768 dualbound = 2954495.221369, lowerbound=1212017.221369, norm of subgrad 38.401811 stepsize= 1.000000
+dualbound = 2954638.670158, lowerbound=1211748.670158, norm of subgrad 1101.453889 dualbound = 2954638.670158, lowerbound=1211748.670158, norm of subgrad 39.943069 stepsize= 1.000000
+dualbound = 2954721.677640, lowerbound=1209077.677640, norm of subgrad 1100.240736 dualbound = 2954721.677640, lowerbound=1209077.677640, norm of subgrad 39.179172 stepsize= 1.000000
+dualbound = 2954898.821450, lowerbound=1212455.821450, norm of subgrad 1101.734460 dualbound = 2954898.821450, lowerbound=1212455.821450, norm of subgrad 39.244666 stepsize= 1.000000
+dualbound = 2955019.653854, lowerbound=1214182.653854, norm of subgrad 1102.466169 dualbound = 2955019.653854, lowerbound=1214182.653854, norm of subgrad 37.011247 stepsize= 1.000000
+dualbound = 2955171.756299, lowerbound=1212915.756299, norm of subgrad 1101.948164 dualbound = 2955171.756299, lowerbound=1212915.756299, norm of subgrad 39.065361 stepsize= 1.000000
+dualbound = 2955255.000647, lowerbound=1208361.000647, norm of subgrad 1099.888631 dualbound = 2955255.000647, lowerbound=1208361.000647, norm of subgrad 38.434937 stepsize= 1.000000
+dualbound = 2955398.600934, lowerbound=1213613.600934, norm of subgrad 1102.299234 dualbound = 2955398.600934, lowerbound=1213613.600934, norm of subgrad 39.919923 stepsize= 1.000000
+dualbound = 2955519.985069, lowerbound=1215180.985069, norm of subgrad 1102.949221 dualbound = 2955519.985069, lowerbound=1215180.985069, norm of subgrad 37.912849 stepsize= 1.000000
+dualbound = 2955678.114129, lowerbound=1203572.114129, norm of subgrad 1097.681700 dualbound = 2955678.114129, lowerbound=1203572.114129, norm of subgrad 38.615140 stepsize= 1.000000
+dualbound = 2955800.173834, lowerbound=1211277.173834, norm of subgrad 1101.220311 dualbound = 2955800.173834, lowerbound=1211277.173834, norm of subgrad 39.128758 stepsize= 1.000000
+dualbound = 2955901.108789, lowerbound=1217064.108789, norm of subgrad 1103.826123 dualbound = 2955901.108789, lowerbound=1217064.108789, norm of subgrad 38.326687 stepsize= 1.000000
+dualbound = 2956052.425520, lowerbound=1207817.425520, norm of subgrad 1099.631495 dualbound = 2956052.425520, lowerbound=1207817.425520, norm of subgrad 39.029690 stepsize= 1.000000
+dualbound = 2956176.810616, lowerbound=1216937.810616, norm of subgrad 1103.777519 dualbound = 2956176.810616, lowerbound=1216937.810616, norm of subgrad 38.876537 stepsize= 1.000000
+dualbound = 2956268.510037, lowerbound=1210351.510037, norm of subgrad 1100.797670 dualbound = 2956268.510037, lowerbound=1210351.510037, norm of subgrad 38.674273 stepsize= 1.000000
+dualbound = 2956430.809582, lowerbound=1212520.809582, norm of subgrad 1101.787552 dualbound = 2956430.809582, lowerbound=1212520.809582, norm of subgrad 39.715231 stepsize= 1.000000
+dualbound = 2956539.137168, lowerbound=1212079.137168, norm of subgrad 1101.570305 dualbound = 2956539.137168, lowerbound=1212079.137168, norm of subgrad 38.552919 stepsize= 1.000000
+dualbound = 2956683.685187, lowerbound=1212650.685187, norm of subgrad 1101.858287 dualbound = 2956683.685187, lowerbound=1212650.685187, norm of subgrad 39.818940 stepsize= 1.000000
+dualbound = 2956803.437712, lowerbound=1207989.437712, norm of subgrad 1099.701977 dualbound = 2956803.437712, lowerbound=1207989.437712, norm of subgrad 38.402507 stepsize= 1.000000
+dualbound = 2956942.867410, lowerbound=1213119.867410, norm of subgrad 1102.083875 dualbound = 2956942.867410, lowerbound=1213119.867410, norm of subgrad 40.105233 stepsize= 1.000000
+dualbound = 2957051.103475, lowerbound=1206807.103475, norm of subgrad 1099.182016 dualbound = 2957051.103475, lowerbound=1206807.103475, norm of subgrad 38.758690 stepsize= 1.000000
+dualbound = 2957216.064540, lowerbound=1215627.064540, norm of subgrad 1103.166834 dualbound = 2957216.064540, lowerbound=1215627.064540, norm of subgrad 38.922501 stepsize= 1.000000
+dualbound = 2957347.236284, lowerbound=1212135.236284, norm of subgrad 1101.573527 dualbound = 2957347.236284, lowerbound=1212135.236284, norm of subgrad 38.212194 stepsize= 1.000000
+dualbound = 2957477.204920, lowerbound=1212313.204920, norm of subgrad 1101.701958 dualbound = 2957477.204920, lowerbound=1212313.204920, norm of subgrad 39.547043 stepsize= 1.000000
+dualbound = 2957578.309810, lowerbound=1205131.309810, norm of subgrad 1098.405804 dualbound = 2957578.309810, lowerbound=1205131.309810, norm of subgrad 38.276689 stepsize= 1.000000
+dualbound = 2957736.609389, lowerbound=1212938.609389, norm of subgrad 1101.927679 dualbound = 2957736.609389, lowerbound=1212938.609389, norm of subgrad 38.266168 stepsize= 1.000000
+dualbound = 2957882.097716, lowerbound=1209806.097716, norm of subgrad 1100.520376 dualbound = 2957882.097716, lowerbound=1209806.097716, norm of subgrad 38.529058 stepsize= 1.000000
+dualbound = 2957976.083520, lowerbound=1216655.083520, norm of subgrad 1103.639472 dualbound = 2957976.083520, lowerbound=1216655.083520, norm of subgrad 38.196673 stepsize= 1.000000
+dualbound = 2958114.897251, lowerbound=1210652.897251, norm of subgrad 1100.923656 dualbound = 2958114.897251, lowerbound=1210652.897251, norm of subgrad 38.971961 stepsize= 1.000000
+dualbound = 2958245.579720, lowerbound=1212928.579720, norm of subgrad 1101.939463 dualbound = 2958245.579720, lowerbound=1212928.579720, norm of subgrad 38.375545 stepsize= 1.000000
+dualbound = 2958357.880631, lowerbound=1210220.880631, norm of subgrad 1100.752416 dualbound = 2958357.880631, lowerbound=1210220.880631, norm of subgrad 39.335746 stepsize= 1.000000
+dualbound = 2958477.022730, lowerbound=1214305.022730, norm of subgrad 1102.585608 dualbound = 2958477.022730, lowerbound=1214305.022730, norm of subgrad 38.847678 stepsize= 1.000000
+dualbound = 2958638.230779, lowerbound=1207137.230779, norm of subgrad 1099.312617 dualbound = 2958638.230779, lowerbound=1207137.230779, norm of subgrad 38.887119 stepsize= 1.000000
+dualbound = 2958763.855385, lowerbound=1211993.855385, norm of subgrad 1101.555652 dualbound = 2958763.855385, lowerbound=1211993.855385, norm of subgrad 39.454082 stepsize= 1.000000
+dualbound = 2958878.097077, lowerbound=1210922.097077, norm of subgrad 1101.049089 dualbound = 2958878.097077, lowerbound=1210922.097077, norm of subgrad 38.745860 stepsize= 1.000000
+dualbound = 2958994.788973, lowerbound=1216259.788973, norm of subgrad 1103.462183 dualbound = 2958994.788973, lowerbound=1216259.788973, norm of subgrad 38.544674 stepsize= 1.000000
+dualbound = 2959136.562964, lowerbound=1211658.562964, norm of subgrad 1101.396188 dualbound = 2959136.562964, lowerbound=1211658.562964, norm of subgrad 39.455975 stepsize= 1.000000
+dualbound = 2959242.101778, lowerbound=1211125.101778, norm of subgrad 1101.140818 dualbound = 2959242.101778, lowerbound=1211125.101778, norm of subgrad 38.620446 stepsize= 1.000000
+dualbound = 2959410.652262, lowerbound=1210331.652262, norm of subgrad 1100.795918 dualbound = 2959410.652262, lowerbound=1210331.652262, norm of subgrad 39.856624 stepsize= 1.000000
+dualbound = 2959505.273280, lowerbound=1213332.273280, norm of subgrad 1102.165266 dualbound = 2959505.273280, lowerbound=1213332.273280, norm of subgrad 39.123152 stepsize= 1.000000
+dualbound = 2959648.272770, lowerbound=1210381.272770, norm of subgrad 1100.812551 dualbound = 2959648.272770, lowerbound=1210381.272770, norm of subgrad 39.370033 stepsize= 1.000000
+dualbound = 2959762.173407, lowerbound=1211736.173407, norm of subgrad 1101.415986 dualbound = 2959762.173407, lowerbound=1211736.173407, norm of subgrad 38.663945 stepsize= 1.000000
+dualbound = 2959914.927124, lowerbound=1211235.927124, norm of subgrad 1101.210210 dualbound = 2959914.927124, lowerbound=1211235.927124, norm of subgrad 39.758694 stepsize= 1.000000
+dualbound = 2960022.247616, lowerbound=1215302.247616, norm of subgrad 1103.022324 dualbound = 2960022.247616, lowerbound=1215302.247616, norm of subgrad 38.253372 stepsize= 1.000000
+dualbound = 2960160.431705, lowerbound=1213524.431705, norm of subgrad 1102.230208 dualbound = 2960160.431705, lowerbound=1213524.431705, norm of subgrad 39.053605 stepsize= 1.000000
+dualbound = 2960290.489586, lowerbound=1209731.489586, norm of subgrad 1100.497837 dualbound = 2960290.489586, lowerbound=1209731.489586, norm of subgrad 38.653045 stepsize= 1.000000
+dualbound = 2960426.870755, lowerbound=1212508.870755, norm of subgrad 1101.771696 dualbound = 2960426.870755, lowerbound=1212508.870755, norm of subgrad 39.094516 stepsize= 1.000000
+dualbound = 2960541.175919, lowerbound=1211753.175919, norm of subgrad 1101.415987 dualbound = 2960541.175919, lowerbound=1211753.175919, norm of subgrad 38.448734 stepsize= 1.000000
+dualbound = 2960666.072691, lowerbound=1212165.072691, norm of subgrad 1101.626558 dualbound = 2960666.072691, lowerbound=1212165.072691, norm of subgrad 39.254258 stepsize= 1.000000
+dualbound = 2960796.487734, lowerbound=1208306.487734, norm of subgrad 1099.874760 dualbound = 2960796.487734, lowerbound=1208306.487734, norm of subgrad 39.349905 stepsize= 1.000000
+dualbound = 2960907.308191, lowerbound=1214429.308191, norm of subgrad 1102.650130 dualbound = 2960907.308191, lowerbound=1214429.308191, norm of subgrad 38.972047 stepsize= 1.000000
+dualbound = 2961076.621339, lowerbound=1210047.621339, norm of subgrad 1100.634191 dualbound = 2961076.621339, lowerbound=1210047.621339, norm of subgrad 38.952704 stepsize= 1.000000
+dualbound = 2961194.383509, lowerbound=1216449.383509, norm of subgrad 1103.565759 dualbound = 2961194.383509, lowerbound=1216449.383509, norm of subgrad 39.061006 stepsize= 1.000000
+dualbound = 2961299.909424, lowerbound=1211157.909424, norm of subgrad 1101.153445 dualbound = 2961299.909424, lowerbound=1211157.909424, norm of subgrad 38.555491 stepsize= 1.000000
+dualbound = 2961446.597076, lowerbound=1210902.597076, norm of subgrad 1101.032060 dualbound = 2961446.597076, lowerbound=1210902.597076, norm of subgrad 38.931833 stepsize= 1.000000
+dualbound = 2961570.963908, lowerbound=1212566.963908, norm of subgrad 1101.823018 dualbound = 2961570.963908, lowerbound=1212566.963908, norm of subgrad 39.640470 stepsize= 1.000000
+dualbound = 2961688.959712, lowerbound=1214299.959712, norm of subgrad 1102.571521 dualbound = 2961688.959712, lowerbound=1214299.959712, norm of subgrad 38.496699 stepsize= 1.000000
+dualbound = 2961840.629758, lowerbound=1214789.629758, norm of subgrad 1102.813053 dualbound = 2961840.629758, lowerbound=1214789.629758, norm of subgrad 39.479996 stepsize= 1.000000
+dualbound = 2961946.189079, lowerbound=1211942.189079, norm of subgrad 1101.504966 dualbound = 2961946.189079, lowerbound=1211942.189079, norm of subgrad 38.426024 stepsize= 1.000000
+dualbound = 2962093.933661, lowerbound=1211516.933661, norm of subgrad 1101.309645 dualbound = 2962093.933661, lowerbound=1211516.933661, norm of subgrad 38.906871 stepsize= 1.000000
+dualbound = 2962227.000289, lowerbound=1213319.000289, norm of subgrad 1102.141098 dualbound = 2962227.000289, lowerbound=1213319.000289, norm of subgrad 39.103282 stepsize= 1.000000
+dualbound = 2962340.730014, lowerbound=1207534.730014, norm of subgrad 1099.552514 dualbound = 2962340.730014, lowerbound=1207534.730014, norm of subgrad 39.934067 stepsize= 1.000000
+dualbound = 2962454.788620, lowerbound=1210876.788620, norm of subgrad 1101.058031 dualbound = 2962454.788620, lowerbound=1210876.788620, norm of subgrad 39.573458 stepsize= 1.000000
+dualbound = 2962589.830735, lowerbound=1209727.830735, norm of subgrad 1100.503444 dualbound = 2962589.830735, lowerbound=1209727.830735, norm of subgrad 38.923542 stepsize= 1.000000
+dualbound = 2962723.841313, lowerbound=1211106.841313, norm of subgrad 1101.157047 dualbound = 2962723.841313, lowerbound=1211106.841313, norm of subgrad 39.673802 stepsize= 1.000000
+dualbound = 2962832.100511, lowerbound=1212127.100511, norm of subgrad 1101.596614 dualbound = 2962832.100511, lowerbound=1212127.100511, norm of subgrad 38.681510 stepsize= 1.000000
+dualbound = 2962968.391790, lowerbound=1212565.391790, norm of subgrad 1101.779194 dualbound = 2962968.391790, lowerbound=1212565.391790, norm of subgrad 38.578378 stepsize= 1.000000
+dualbound = 2963102.191781, lowerbound=1212853.191781, norm of subgrad 1101.888012 dualbound = 2963102.191781, lowerbound=1212853.191781, norm of subgrad 37.918333 stepsize= 1.000000
+dualbound = 2963244.649473, lowerbound=1213240.649473, norm of subgrad 1102.093303 dualbound = 2963244.649473, lowerbound=1213240.649473, norm of subgrad 38.877470 stepsize= 1.000000
+dualbound = 2963360.742101, lowerbound=1214163.742101, norm of subgrad 1102.505212 dualbound = 2963360.742101, lowerbound=1214163.742101, norm of subgrad 38.341787 stepsize= 1.000000
+dualbound = 2963492.778080, lowerbound=1214055.778080, norm of subgrad 1102.466225 dualbound = 2963492.778080, lowerbound=1214055.778080, norm of subgrad 38.833439 stepsize= 1.000000
+dualbound = 2963588.356245, lowerbound=1217464.356245, norm of subgrad 1104.020089 dualbound = 2963588.356245, lowerbound=1217464.356245, norm of subgrad 38.620955 stepsize= 1.000000
+dualbound = 2963742.078689, lowerbound=1212553.078689, norm of subgrad 1101.788128 dualbound = 2963742.078689, lowerbound=1212553.078689, norm of subgrad 39.213804 stepsize= 1.000000
+dualbound = 2963874.193672, lowerbound=1205414.193672, norm of subgrad 1098.561420 dualbound = 2963874.193672, lowerbound=1205414.193672, norm of subgrad 39.434946 stepsize= 1.000000
+dualbound = 2964006.579495, lowerbound=1217417.579495, norm of subgrad 1104.003433 dualbound = 2964006.579495, lowerbound=1217417.579495, norm of subgrad 39.222262 stepsize= 1.000000
+dualbound = 2964129.024248, lowerbound=1209360.024248, norm of subgrad 1100.352682 dualbound = 2964129.024248, lowerbound=1209360.024248, norm of subgrad 39.223013 stepsize= 1.000000
+dualbound = 2964245.790426, lowerbound=1211816.790426, norm of subgrad 1101.460299 dualbound = 2964245.790426, lowerbound=1211816.790426, norm of subgrad 38.919997 stepsize= 1.000000
+dualbound = 2964404.848741, lowerbound=1208201.848741, norm of subgrad 1099.802641 dualbound = 2964404.848741, lowerbound=1208201.848741, norm of subgrad 39.026380 stepsize= 1.000000
+dualbound = 2964513.147881, lowerbound=1214840.147881, norm of subgrad 1102.804673 dualbound = 2964513.147881, lowerbound=1214840.147881, norm of subgrad 38.030240 stepsize= 1.000000
+dualbound = 2964639.017637, lowerbound=1210649.017637, norm of subgrad 1100.897823 dualbound = 2964639.017637, lowerbound=1210649.017637, norm of subgrad 38.116529 stepsize= 1.000000
+dualbound = 2964774.766748, lowerbound=1213392.766748, norm of subgrad 1102.170934 dualbound = 2964774.766748, lowerbound=1213392.766748, norm of subgrad 39.035229 stepsize= 1.000000
+dualbound = 2964875.486473, lowerbound=1213097.486473, norm of subgrad 1102.030620 dualbound = 2964875.486473, lowerbound=1213097.486473, norm of subgrad 38.402080 stepsize= 1.000000
+dualbound = 2965029.746496, lowerbound=1213431.746496, norm of subgrad 1102.172285 dualbound = 2965029.746496, lowerbound=1213431.746496, norm of subgrad 38.810566 stepsize= 1.000000
+dualbound = 2965160.014822, lowerbound=1213235.014822, norm of subgrad 1102.101635 dualbound = 2965160.014822, lowerbound=1213235.014822, norm of subgrad 39.029070 stepsize= 1.000000
+dualbound = 2965252.425270, lowerbound=1212331.425270, norm of subgrad 1101.690258 dualbound = 2965252.425270, lowerbound=1212331.425270, norm of subgrad 38.502084 stepsize= 1.000000
+dualbound = 2965391.137747, lowerbound=1213192.137747, norm of subgrad 1102.106228 dualbound = 2965391.137747, lowerbound=1213192.137747, norm of subgrad 39.808447 stepsize= 1.000000
+dualbound = 2965497.835232, lowerbound=1220218.835232, norm of subgrad 1105.290385 dualbound = 2965497.835232, lowerbound=1220218.835232, norm of subgrad 39.429652 stepsize= 1.000000
+dualbound = 2965653.608028, lowerbound=1207763.608028, norm of subgrad 1099.634761 dualbound = 2965653.608028, lowerbound=1207763.608028, norm of subgrad 39.859413 stepsize= 1.000000
+dualbound = 2965772.218039, lowerbound=1214817.218039, norm of subgrad 1102.829188 dualbound = 2965772.218039, lowerbound=1214817.218039, norm of subgrad 39.161333 stepsize= 1.000000
+dualbound = 2965897.527008, lowerbound=1210004.527008, norm of subgrad 1100.628242 dualbound = 2965897.527008, lowerbound=1210004.527008, norm of subgrad 38.772529 stepsize= 1.000000
+dualbound = 2966056.289750, lowerbound=1210625.289750, norm of subgrad 1100.906576 dualbound = 2966056.289750, lowerbound=1210625.289750, norm of subgrad 39.099396 stepsize= 1.000000
+dualbound = 2966151.726326, lowerbound=1212077.726326, norm of subgrad 1101.550147 dualbound = 2966151.726326, lowerbound=1212077.726326, norm of subgrad 37.821113 stepsize= 1.000000
+dualbound = 2966309.977255, lowerbound=1214779.977255, norm of subgrad 1102.786914 dualbound = 2966309.977255, lowerbound=1214779.977255, norm of subgrad 38.951905 stepsize= 1.000000
+dualbound = 2966429.906579, lowerbound=1208290.906579, norm of subgrad 1099.874496 dualbound = 2966429.906579, lowerbound=1208290.906579, norm of subgrad 39.407224 stepsize= 1.000000
+dualbound = 2966551.270506, lowerbound=1213056.270506, norm of subgrad 1101.980613 dualbound = 2966551.270506, lowerbound=1213056.270506, norm of subgrad 37.767234 stepsize= 1.000000
+dualbound = 2966698.538759, lowerbound=1215441.538759, norm of subgrad 1103.089996 dualbound = 2966698.538759, lowerbound=1215441.538759, norm of subgrad 38.900749 stepsize= 1.000000
+dualbound = 2966802.955333, lowerbound=1213740.955333, norm of subgrad 1102.314817 dualbound = 2966802.955333, lowerbound=1213740.955333, norm of subgrad 38.228479 stepsize= 1.000000
+dualbound = 2966944.291448, lowerbound=1212932.291448, norm of subgrad 1101.967464 dualbound = 2966944.291448, lowerbound=1212932.291448, norm of subgrad 39.259854 stepsize= 1.000000
+dualbound = 2967043.094556, lowerbound=1217016.094556, norm of subgrad 1103.812074 dualbound = 2967043.094556, lowerbound=1217016.094556, norm of subgrad 38.520165 stepsize= 1.000000
+dualbound = 2967183.193526, lowerbound=1209250.193526, norm of subgrad 1100.312771 dualbound = 2967183.193526, lowerbound=1209250.193526, norm of subgrad 39.725294 stepsize= 1.000000
+dualbound = 2967292.466612, lowerbound=1214965.466612, norm of subgrad 1102.868291 dualbound = 2967292.466612, lowerbound=1214965.466612, norm of subgrad 38.239679 stepsize= 1.000000
+dualbound = 2967440.491175, lowerbound=1213357.491175, norm of subgrad 1102.163096 dualbound = 2967440.491175, lowerbound=1213357.491175, norm of subgrad 39.421118 stepsize= 1.000000
+dualbound = 2967575.509445, lowerbound=1209389.509445, norm of subgrad 1100.332454 dualbound = 2967575.509445, lowerbound=1209389.509445, norm of subgrad 38.431995 stepsize= 1.000000
+dualbound = 2967701.904861, lowerbound=1212308.904861, norm of subgrad 1101.696830 dualbound = 2967701.904861, lowerbound=1212308.904861, norm of subgrad 39.413138 stepsize= 1.000000
+dualbound = 2967808.632776, lowerbound=1215124.632776, norm of subgrad 1102.980341 dualbound = 2967808.632776, lowerbound=1215124.632776, norm of subgrad 39.341173 stepsize= 1.000000
+dualbound = 2967943.015214, lowerbound=1209761.015214, norm of subgrad 1100.528516 dualbound = 2967943.015214, lowerbound=1209761.015214, norm of subgrad 39.196715 stepsize= 1.000000
+dualbound = 2968085.093573, lowerbound=1216658.093573, norm of subgrad 1103.656239 dualbound = 2968085.093573, lowerbound=1216658.093573, norm of subgrad 39.256571 stepsize= 1.000000
+dualbound = 2968192.650927, lowerbound=1212396.650927, norm of subgrad 1101.721222 dualbound = 2968192.650927, lowerbound=1212396.650927, norm of subgrad 38.737028 stepsize= 1.000000
+dualbound = 2968328.034707, lowerbound=1213759.034707, norm of subgrad 1102.339800 dualbound = 2968328.034707, lowerbound=1213759.034707, norm of subgrad 39.107337 stepsize= 1.000000
+dualbound = 2968450.535262, lowerbound=1215443.535262, norm of subgrad 1103.141666 dualbound = 2968450.535262, lowerbound=1215443.535262, norm of subgrad 40.006256 stepsize= 1.000000
+dualbound = 2968574.057062, lowerbound=1210581.057062, norm of subgrad 1100.907379 dualbound = 2968574.057062, lowerbound=1210581.057062, norm of subgrad 39.236740 stepsize= 1.000000
+dualbound = 2968721.539936, lowerbound=1210181.539936, norm of subgrad 1100.722281 dualbound = 2968721.539936, lowerbound=1210181.539936, norm of subgrad 39.439610 stepsize= 1.000000
+dualbound = 2968832.181686, lowerbound=1215388.181686, norm of subgrad 1103.093007 dualbound = 2968832.181686, lowerbound=1215388.181686, norm of subgrad 39.200022 stepsize= 1.000000
+dualbound = 2968962.710762, lowerbound=1215319.710762, norm of subgrad 1103.054265 dualbound = 2968962.710762, lowerbound=1215319.710762, norm of subgrad 39.236833 stepsize= 1.000000
+dualbound = 2969087.405922, lowerbound=1208880.405922, norm of subgrad 1100.119723 dualbound = 2969087.405922, lowerbound=1208880.405922, norm of subgrad 38.829050 stepsize= 1.000000
+dualbound = 2969222.277237, lowerbound=1215069.277237, norm of subgrad 1102.927140 dualbound = 2969222.277237, lowerbound=1215069.277237, norm of subgrad 38.908499 stepsize= 1.000000
+dualbound = 2969362.728664, lowerbound=1211274.728664, norm of subgrad 1101.204672 dualbound = 2969362.728664, lowerbound=1211274.728664, norm of subgrad 38.954479 stepsize= 1.000000
+dualbound = 2969483.442302, lowerbound=1212591.442302, norm of subgrad 1101.806899 dualbound = 2969483.442302, lowerbound=1212591.442302, norm of subgrad 38.829288 stepsize= 1.000000
+dualbound = 2969616.785418, lowerbound=1213068.785418, norm of subgrad 1102.018051 dualbound = 2969616.785418, lowerbound=1213068.785418, norm of subgrad 38.837393 stepsize= 1.000000
+dualbound = 2969732.238805, lowerbound=1211142.238805, norm of subgrad 1101.137248 dualbound = 2969732.238805, lowerbound=1211142.238805, norm of subgrad 38.424646 stepsize= 1.000000
+dualbound = 2969875.017244, lowerbound=1216440.017244, norm of subgrad 1103.561968 dualbound = 2969875.017244, lowerbound=1216440.017244, norm of subgrad 39.392619 stepsize= 1.000000
+dualbound = 2969984.051718, lowerbound=1213044.051718, norm of subgrad 1102.012728 dualbound = 2969984.051718, lowerbound=1213044.051718, norm of subgrad 38.691530 stepsize= 1.000000
+dualbound = 2970127.304047, lowerbound=1212024.304047, norm of subgrad 1101.544962 dualbound = 2970127.304047, lowerbound=1212024.304047, norm of subgrad 38.990413 stepsize= 1.000000
+dualbound = 2970245.083291, lowerbound=1213530.083291, norm of subgrad 1102.214173 dualbound = 2970245.083291, lowerbound=1213530.083291, norm of subgrad 38.259368 stepsize= 1.000000
+dualbound = 2970380.183033, lowerbound=1210171.183033, norm of subgrad 1100.681236 dualbound = 2970380.183033, lowerbound=1210171.183033, norm of subgrad 38.250487 stepsize= 1.000000
+dualbound = 2970510.321426, lowerbound=1212171.321426, norm of subgrad 1101.608969 dualbound = 2970510.321426, lowerbound=1212171.321426, norm of subgrad 38.744527 stepsize= 1.000000
+dualbound = 2970640.508803, lowerbound=1214566.508803, norm of subgrad 1102.681962 dualbound = 2970640.508803, lowerbound=1214566.508803, norm of subgrad 38.356060 stepsize= 1.000000
+dualbound = 2970737.263483, lowerbound=1210078.263483, norm of subgrad 1100.652199 dualbound = 2970737.263483, lowerbound=1210078.263483, norm of subgrad 38.128135 stepsize= 1.000000
+dualbound = 2970888.044207, lowerbound=1217633.044207, norm of subgrad 1104.062518 dualbound = 2970888.044207, lowerbound=1217633.044207, norm of subgrad 38.363794 stepsize= 1.000000
+dualbound = 2971031.758899, lowerbound=1214547.758899, norm of subgrad 1102.682075 dualbound = 2971031.758899, lowerbound=1214547.758899, norm of subgrad 38.777760 stepsize= 1.000000
+dualbound = 2971138.661241, lowerbound=1209273.661241, norm of subgrad 1100.308894 dualbound = 2971138.661241, lowerbound=1209273.661241, norm of subgrad 38.896045 stepsize= 1.000000
+dualbound = 2971265.142801, lowerbound=1211441.142801, norm of subgrad 1101.297482 dualbound = 2971265.142801, lowerbound=1211441.142801, norm of subgrad 39.261706 stepsize= 1.000000
+dualbound = 2971390.187355, lowerbound=1212812.187355, norm of subgrad 1101.897993 dualbound = 2971390.187355, lowerbound=1212812.187355, norm of subgrad 38.626993 stepsize= 1.000000
+dualbound = 2971523.878862, lowerbound=1210341.878862, norm of subgrad 1100.805105 dualbound = 2971523.878862, lowerbound=1210341.878862, norm of subgrad 39.543539 stepsize= 1.000000
+dualbound = 2971638.523410, lowerbound=1215090.523410, norm of subgrad 1102.929065 dualbound = 2971638.523410, lowerbound=1215090.523410, norm of subgrad 38.427133 stepsize= 1.000000
+dualbound = 2971777.202473, lowerbound=1217048.202473, norm of subgrad 1103.833412 dualbound = 2971777.202473, lowerbound=1217048.202473, norm of subgrad 39.226000 stepsize= 1.000000
+dualbound = 2971928.975825, lowerbound=1216906.975825, norm of subgrad 1103.772158 dualbound = 2971928.975825, lowerbound=1216906.975825, norm of subgrad 39.468638 stepsize= 1.000000
+dualbound = 2972020.334521, lowerbound=1209847.334521, norm of subgrad 1100.584088 dualbound = 2972020.334521, lowerbound=1209847.334521, norm of subgrad 39.107016 stepsize= 1.000000
+dualbound = 2972165.955415, lowerbound=1209549.955415, norm of subgrad 1100.427170 dualbound = 2972165.955415, lowerbound=1209549.955415, norm of subgrad 39.186999 stepsize= 1.000000
+dualbound = 2972286.648068, lowerbound=1214151.648068, norm of subgrad 1102.496552 dualbound = 2972286.648068, lowerbound=1214151.648068, norm of subgrad 38.310477 stepsize= 1.000000
+dualbound = 2972431.708757, lowerbound=1215110.708757, norm of subgrad 1102.940936 dualbound = 2972431.708757, lowerbound=1215110.708757, norm of subgrad 38.898081 stepsize= 1.000000
+dualbound = 2972547.812003, lowerbound=1209821.812003, norm of subgrad 1100.545688 dualbound = 2972547.812003, lowerbound=1209821.812003, norm of subgrad 38.666565 stepsize= 1.000000
+dualbound = 2972702.496162, lowerbound=1214661.496162, norm of subgrad 1102.744529 dualbound = 2972702.496162, lowerbound=1214661.496162, norm of subgrad 39.226065 stepsize= 1.000000
+dualbound = 2972797.660479, lowerbound=1213193.660479, norm of subgrad 1102.089225 dualbound = 2972797.660479, lowerbound=1213193.660479, norm of subgrad 38.757765 stepsize= 1.000000
+dualbound = 2972936.863110, lowerbound=1212361.863110, norm of subgrad 1101.685465 dualbound = 2972936.863110, lowerbound=1212361.863110, norm of subgrad 38.577229 stepsize= 1.000000
+dualbound = 2973060.134013, lowerbound=1211890.134013, norm of subgrad 1101.506756 dualbound = 2973060.134013, lowerbound=1211890.134013, norm of subgrad 39.373480 stepsize= 1.000000
+dualbound = 2973187.652266, lowerbound=1211721.652266, norm of subgrad 1101.407578 dualbound = 2973187.652266, lowerbound=1211721.652266, norm of subgrad 38.788120 stepsize= 1.000000
+dualbound = 2973332.795807, lowerbound=1212324.795807, norm of subgrad 1101.698596 dualbound = 2973332.795807, lowerbound=1212324.795807, norm of subgrad 39.498652 stepsize= 1.000000
+dualbound = 2973443.246866, lowerbound=1216080.246866, norm of subgrad 1103.358621 dualbound = 2973443.246866, lowerbound=1216080.246866, norm of subgrad 37.821304 stepsize= 1.000000
+dualbound = 2973584.741260, lowerbound=1209091.741260, norm of subgrad 1100.191229 dualbound = 2973584.741260, lowerbound=1209091.741260, norm of subgrad 38.347026 stepsize= 1.000000
+dualbound = 2973684.912656, lowerbound=1219131.912656, norm of subgrad 1104.789986 dualbound = 2973684.912656, lowerbound=1219131.912656, norm of subgrad 39.104621 stepsize= 1.000000
+dualbound = 2973809.139935, lowerbound=1213215.139935, norm of subgrad 1102.083091 dualbound = 2973809.139935, lowerbound=1213215.139935, norm of subgrad 38.681097 stepsize= 1.000000
+dualbound = 2973966.604034, lowerbound=1215012.604034, norm of subgrad 1102.884221 dualbound = 2973966.604034, lowerbound=1215012.604034, norm of subgrad 38.710000 stepsize= 1.000000
+dualbound = 2974063.138687, lowerbound=1209264.138687, norm of subgrad 1100.285481 dualbound = 2974063.138687, lowerbound=1209264.138687, norm of subgrad 38.216942 stepsize= 1.000000
+dualbound = 2974210.621804, lowerbound=1212620.621804, norm of subgrad 1101.821048 dualbound = 2974210.621804, lowerbound=1212620.621804, norm of subgrad 39.197999 stepsize= 1.000000
+dualbound = 2974329.405214, lowerbound=1208858.405214, norm of subgrad 1100.112451 dualbound = 2974329.405214, lowerbound=1208858.405214, norm of subgrad 38.830187 stepsize= 1.000000
+dualbound = 2974464.809980, lowerbound=1217533.809980, norm of subgrad 1104.055619 dualbound = 2974464.809980, lowerbound=1217533.809980, norm of subgrad 39.247991 stepsize= 1.000000
+dualbound = 2974580.080253, lowerbound=1209436.080253, norm of subgrad 1100.381334 dualbound = 2974580.080253, lowerbound=1209436.080253, norm of subgrad 38.964988 stepsize= 1.000000
+dualbound = 2974707.419054, lowerbound=1215496.419054, norm of subgrad 1103.128016 dualbound = 2974707.419054, lowerbound=1215496.419054, norm of subgrad 39.017160 stepsize= 1.000000
+dualbound = 2974845.898271, lowerbound=1208653.898271, norm of subgrad 1100.009499 dualbound = 2974845.898271, lowerbound=1208653.898271, norm of subgrad 38.800505 stepsize= 1.000000
+dualbound = 2974997.347913, lowerbound=1214720.347913, norm of subgrad 1102.745369 dualbound = 2974997.347913, lowerbound=1214720.347913, norm of subgrad 38.450613 stepsize= 1.000000
+dualbound = 2975110.726232, lowerbound=1212858.726232, norm of subgrad 1101.903683 dualbound = 2975110.726232, lowerbound=1212858.726232, norm of subgrad 38.031281 stepsize= 1.000000
+dualbound = 2975245.279987, lowerbound=1211713.279987, norm of subgrad 1101.378809 dualbound = 2975245.279987, lowerbound=1211713.279987, norm of subgrad 38.164824 stepsize= 1.000000
+dualbound = 2975372.368168, lowerbound=1215074.368168, norm of subgrad 1102.894541 dualbound = 2975372.368168, lowerbound=1215074.368168, norm of subgrad 37.803283 stepsize= 1.000000
+dualbound = 2975479.678384, lowerbound=1212940.678384, norm of subgrad 1101.957657 dualbound = 2975479.678384, lowerbound=1212940.678384, norm of subgrad 38.435793 stepsize= 1.000000
+dualbound = 2975613.677913, lowerbound=1214489.677913, norm of subgrad 1102.656192 dualbound = 2975613.677913, lowerbound=1214489.677913, norm of subgrad 38.665224 stepsize= 1.000000
+dualbound = 2975741.953872, lowerbound=1217679.953872, norm of subgrad 1104.119538 dualbound = 2975741.953872, lowerbound=1217679.953872, norm of subgrad 39.093170 stepsize= 1.000000
+dualbound = 2975843.972860, lowerbound=1209018.972860, norm of subgrad 1100.214967 dualbound = 2975843.972860, lowerbound=1209018.972860, norm of subgrad 39.446407 stepsize= 1.000000
+dualbound = 2975951.916028, lowerbound=1216441.916028, norm of subgrad 1103.584576 dualbound = 2975951.916028, lowerbound=1216441.916028, norm of subgrad 39.559363 stepsize= 1.000000
+dualbound = 2976083.713855, lowerbound=1209870.713855, norm of subgrad 1100.586077 dualbound = 2976083.713855, lowerbound=1209870.713855, norm of subgrad 39.380170 stepsize= 1.000000
+dualbound = 2976234.199537, lowerbound=1213134.199537, norm of subgrad 1102.071776 dualbound = 2976234.199537, lowerbound=1213134.199537, norm of subgrad 39.730161 stepsize= 1.000000
+dualbound = 2976346.393443, lowerbound=1215692.393443, norm of subgrad 1103.217745 dualbound = 2976346.393443, lowerbound=1215692.393443, norm of subgrad 38.848345 stepsize= 1.000000
+dualbound = 2976511.076356, lowerbound=1213122.076356, norm of subgrad 1102.031795 dualbound = 2976511.076356, lowerbound=1213122.076356, norm of subgrad 38.944613 stepsize= 1.000000
+dualbound = 2976614.012782, lowerbound=1216466.012782, norm of subgrad 1103.564684 dualbound = 2976614.012782, lowerbound=1216466.012782, norm of subgrad 38.625593 stepsize= 1.000000
+dualbound = 2976793.350426, lowerbound=1208617.350426, norm of subgrad 1099.995614 dualbound = 2976793.350426, lowerbound=1208617.350426, norm of subgrad 39.399716 stepsize= 1.000000
+dualbound = 2976865.535096, lowerbound=1208817.535096, norm of subgrad 1100.102511 dualbound = 2976865.535096, lowerbound=1208817.535096, norm of subgrad 38.473168 stepsize= 1.000000
+dualbound = 2977018.964359, lowerbound=1214427.964359, norm of subgrad 1102.631835 dualbound = 2977018.964359, lowerbound=1214427.964359, norm of subgrad 39.018320 stepsize= 1.000000
+dualbound = 2977142.298371, lowerbound=1212770.298371, norm of subgrad 1101.853120 dualbound = 2977142.298371, lowerbound=1212770.298371, norm of subgrad 37.859398 stepsize= 1.000000
+dualbound = 2977266.428554, lowerbound=1208534.428554, norm of subgrad 1099.977013 dualbound = 2977266.428554, lowerbound=1208534.428554, norm of subgrad 39.231750 stepsize= 1.000000
+dualbound = 2977362.871214, lowerbound=1217111.871214, norm of subgrad 1103.908905 dualbound = 2977362.871214, lowerbound=1217111.871214, norm of subgrad 39.993033 stepsize= 1.000000
+dualbound = 2977486.188349, lowerbound=1212567.188349, norm of subgrad 1101.802246 dualbound = 2977486.188349, lowerbound=1212567.188349, norm of subgrad 39.042504 stepsize= 1.000000
+dualbound = 2977635.382863, lowerbound=1220157.382863, norm of subgrad 1105.244942 dualbound = 2977635.382863, lowerbound=1220157.382863, norm of subgrad 39.473973 stepsize= 1.000000
+dualbound = 2977751.522165, lowerbound=1209455.522165, norm of subgrad 1100.380172 dualbound = 2977751.522165, lowerbound=1209455.522165, norm of subgrad 38.692884 stepsize= 1.000000
+dualbound = 2977901.469148, lowerbound=1210218.469148, norm of subgrad 1100.719523 dualbound = 2977901.469148, lowerbound=1210218.469148, norm of subgrad 38.922320 stepsize= 1.000000
+dualbound = 2978037.209942, lowerbound=1215346.209942, norm of subgrad 1103.051771 dualbound = 2978037.209942, lowerbound=1215346.209942, norm of subgrad 38.893969 stepsize= 1.000000
+dualbound = 2978167.255828, lowerbound=1211849.255828, norm of subgrad 1101.473675 dualbound = 2978167.255828, lowerbound=1211849.255828, norm of subgrad 39.051836 stepsize= 1.000000
+dualbound = 2978279.302846, lowerbound=1214183.302846, norm of subgrad 1102.531770 dualbound = 2978279.302846, lowerbound=1214183.302846, norm of subgrad 38.794935 stepsize= 1.000000
+dualbound = 2978423.542646, lowerbound=1214669.542646, norm of subgrad 1102.735028 dualbound = 2978423.542646, lowerbound=1214669.542646, norm of subgrad 38.720018 stepsize= 1.000000
+dualbound = 2978540.935336, lowerbound=1213991.935336, norm of subgrad 1102.456319 dualbound = 2978540.935336, lowerbound=1213991.935336, norm of subgrad 39.184087 stepsize= 1.000000
+dualbound = 2978658.638912, lowerbound=1211220.638912, norm of subgrad 1101.200998 dualbound = 2978658.638912, lowerbound=1211220.638912, norm of subgrad 39.251797 stepsize= 1.000000
+dualbound = 2978781.339271, lowerbound=1215010.339271, norm of subgrad 1102.910395 dualbound = 2978781.339271, lowerbound=1215010.339271, norm of subgrad 39.034605 stepsize= 1.000000
+dualbound = 2978903.541872, lowerbound=1216007.541872, norm of subgrad 1103.379600 dualbound = 2978903.541872, lowerbound=1216007.541872, norm of subgrad 39.512056 stepsize= 1.000000
+dualbound = 2979034.894594, lowerbound=1214806.894594, norm of subgrad 1102.816800 dualbound = 2979034.894594, lowerbound=1214806.894594, norm of subgrad 39.106940 stepsize= 1.000000
+dualbound = 2979156.993302, lowerbound=1213036.993302, norm of subgrad 1102.009525 dualbound = 2979156.993302, lowerbound=1213036.993302, norm of subgrad 38.859989 stepsize= 1.000000
+dualbound = 2979305.245966, lowerbound=1213754.245966, norm of subgrad 1102.324474 dualbound = 2979305.245966, lowerbound=1213754.245966, norm of subgrad 38.900548 stepsize= 1.000000
+dualbound = 2979411.979874, lowerbound=1214372.979874, norm of subgrad 1102.628215 dualbound = 2979411.979874, lowerbound=1214372.979874, norm of subgrad 39.022223 stepsize= 1.000000
+dualbound = 2979539.502705, lowerbound=1213391.502705, norm of subgrad 1102.174443 dualbound = 2979539.502705, lowerbound=1213391.502705, norm of subgrad 39.045138 stepsize= 1.000000
+dualbound = 2979665.932040, lowerbound=1215580.932040, norm of subgrad 1103.172666 dualbound = 2979665.932040, lowerbound=1215580.932040, norm of subgrad 39.184555 stepsize= 1.000000
+dualbound = 2979802.281971, lowerbound=1211165.281971, norm of subgrad 1101.112747 dualbound = 2979802.281971, lowerbound=1211165.281971, norm of subgrad 37.687530 stepsize= 1.000000
+dualbound = 2979944.942017, lowerbound=1215286.942017, norm of subgrad 1103.041677 dualbound = 2979944.942017, lowerbound=1215286.942017, norm of subgrad 39.454531 stepsize= 1.000000
+dualbound = 2980039.394994, lowerbound=1214858.394994, norm of subgrad 1102.821561 dualbound = 2980039.394994, lowerbound=1214858.394994, norm of subgrad 38.097939 stepsize= 1.000000
+dualbound = 2980185.156731, lowerbound=1210963.156731, norm of subgrad 1101.040034 dualbound = 2980185.156731, lowerbound=1210963.156731, norm of subgrad 38.363547 stepsize= 1.000000
+dualbound = 2980323.022570, lowerbound=1210416.022570, norm of subgrad 1100.824247 dualbound = 2980323.022570, lowerbound=1210416.022570, norm of subgrad 39.190124 stepsize= 1.000000
+dualbound = 2980418.467416, lowerbound=1210958.467416, norm of subgrad 1101.100571 dualbound = 2980418.467416, lowerbound=1210958.467416, norm of subgrad 39.489807 stepsize= 1.000000
+dualbound = 2980546.748703, lowerbound=1215700.748703, norm of subgrad 1103.225158 dualbound = 2980546.748703, lowerbound=1215700.748703, norm of subgrad 39.157136 stepsize= 1.000000
+dualbound = 2980684.924212, lowerbound=1217701.924212, norm of subgrad 1104.154393 dualbound = 2980684.924212, lowerbound=1217701.924212, norm of subgrad 39.914603 stepsize= 1.000000
+dualbound = 2980781.612149, lowerbound=1214203.612149, norm of subgrad 1102.547782 dualbound = 2980781.612149, lowerbound=1214203.612149, norm of subgrad 38.790307 stepsize= 1.000000
+dualbound = 2980933.644252, lowerbound=1212980.644252, norm of subgrad 1101.967170 dualbound = 2980933.644252, lowerbound=1212980.644252, norm of subgrad 38.768958 stepsize= 1.000000
+dualbound = 2981061.266705, lowerbound=1213975.266705, norm of subgrad 1102.449213 dualbound = 2981061.266705, lowerbound=1213975.266705, norm of subgrad 39.327121 stepsize= 1.000000
+dualbound = 2981183.952543, lowerbound=1210404.952543, norm of subgrad 1100.794691 dualbound = 2981183.952543, lowerbound=1210404.952543, norm of subgrad 38.297335 stepsize= 1.000000
+dualbound = 2981317.669587, lowerbound=1216941.669587, norm of subgrad 1103.785156 dualbound = 2981317.669587, lowerbound=1216941.669587, norm of subgrad 39.162700 stepsize= 1.000000
+dualbound = 2981432.336841, lowerbound=1215269.336841, norm of subgrad 1103.011032 dualbound = 2981432.336841, lowerbound=1215269.336841, norm of subgrad 38.453443 stepsize= 1.000000
+dualbound = 2981598.783015, lowerbound=1214883.783015, norm of subgrad 1102.831258 dualbound = 2981598.783015, lowerbound=1214883.783015, norm of subgrad 38.980074 stepsize= 1.000000
+dualbound = 2981692.313356, lowerbound=1213547.313356, norm of subgrad 1102.216092 dualbound = 2981692.313356, lowerbound=1213547.313356, norm of subgrad 37.769437 stepsize= 1.000000
+dualbound = 2981826.038449, lowerbound=1209900.038449, norm of subgrad 1100.622569 dualbound = 2981826.038449, lowerbound=1209900.038449, norm of subgrad 40.046537 stepsize= 1.000000
+dualbound = 2981920.120020, lowerbound=1209232.120020, norm of subgrad 1100.299105 dualbound = 2981920.120020, lowerbound=1209232.120020, norm of subgrad 38.988223 stepsize= 1.000000
+dualbound = 2982090.361348, lowerbound=1212802.361348, norm of subgrad 1101.881283 dualbound = 2982090.361348, lowerbound=1212802.361348, norm of subgrad 38.861824 stepsize= 1.000000
+dualbound = 2982206.329553, lowerbound=1214411.329553, norm of subgrad 1102.633815 dualbound = 2982206.329553, lowerbound=1214411.329553, norm of subgrad 38.806806 stepsize= 1.000000
+dualbound = 2982312.884343, lowerbound=1216777.884343, norm of subgrad 1103.743577 dualbound = 2982312.884343, lowerbound=1216777.884343, norm of subgrad 39.731031 stepsize= 1.000000
+dualbound = 2982435.588504, lowerbound=1216711.588504, norm of subgrad 1103.702219 dualbound = 2982435.588504, lowerbound=1216711.588504, norm of subgrad 39.619492 stepsize= 1.000000
+dualbound = 2982583.967630, lowerbound=1220443.967630, norm of subgrad 1105.368250 dualbound = 2982583.967630, lowerbound=1220443.967630, norm of subgrad 39.285864 stepsize= 1.000000
+dualbound = 2982702.640607, lowerbound=1212378.640607, norm of subgrad 1101.690356 dualbound = 2982702.640607, lowerbound=1212378.640607, norm of subgrad 38.231832 stepsize= 1.000000
+dualbound = 2982840.813574, lowerbound=1214168.813574, norm of subgrad 1102.509779 dualbound = 2982840.813574, lowerbound=1214168.813574, norm of subgrad 38.693319 stepsize= 1.000000
+dualbound = 2982970.620080, lowerbound=1214028.620080, norm of subgrad 1102.452094 dualbound = 2982970.620080, lowerbound=1214028.620080, norm of subgrad 38.753148 stepsize= 1.000000
+dualbound = 2983082.701113, lowerbound=1208986.701113, norm of subgrad 1100.136674 dualbound = 2983082.701113, lowerbound=1208986.701113, norm of subgrad 37.763488 stepsize= 1.000000
+dualbound = 2983235.652532, lowerbound=1216831.652532, norm of subgrad 1103.671895 dualbound = 2983235.652532, lowerbound=1216831.652532, norm of subgrad 37.589246 stepsize= 1.000000
+dualbound = 2983353.645078, lowerbound=1211891.645078, norm of subgrad 1101.498364 dualbound = 2983353.645078, lowerbound=1211891.645078, norm of subgrad 39.051153 stepsize= 1.000000
+dualbound = 2983444.927341, lowerbound=1215828.927341, norm of subgrad 1103.284155 dualbound = 2983444.927341, lowerbound=1215828.927341, norm of subgrad 38.707651 stepsize= 1.000000
+dualbound = 2983581.701951, lowerbound=1211782.701951, norm of subgrad 1101.450272 dualbound = 2983581.701951, lowerbound=1211782.701951, norm of subgrad 39.329056 stepsize= 1.000000
+dualbound = 2983710.436469, lowerbound=1216671.436469, norm of subgrad 1103.656847 dualbound = 2983710.436469, lowerbound=1216671.436469, norm of subgrad 38.932435 stepsize= 1.000000
+dualbound = 2983843.528291, lowerbound=1214769.528291, norm of subgrad 1102.805753 dualbound = 2983843.528291, lowerbound=1214769.528291, norm of subgrad 39.294934 stepsize= 1.000000
+dualbound = 2983956.056702, lowerbound=1217459.056702, norm of subgrad 1104.009084 dualbound = 2983956.056702, lowerbound=1217459.056702, norm of subgrad 38.594409 stepsize= 1.000000
+dualbound = 2984113.602668, lowerbound=1210978.602668, norm of subgrad 1101.062942 dualbound = 2984113.602668, lowerbound=1210978.602668, norm of subgrad 38.968525 stepsize= 1.000000
+dualbound = 2984220.980776, lowerbound=1213667.980776, norm of subgrad 1102.307117 dualbound = 2984220.980776, lowerbound=1213667.980776, norm of subgrad 38.992026 stepsize= 1.000000
+dualbound = 2984344.250482, lowerbound=1215185.250482, norm of subgrad 1103.011446 dualbound = 2984344.250482, lowerbound=1215185.250482, norm of subgrad 39.651856 stepsize= 1.000000
+dualbound = 2984467.901212, lowerbound=1214475.901212, norm of subgrad 1102.678966 dualbound = 2984467.901212, lowerbound=1214475.901212, norm of subgrad 39.352900 stepsize= 1.000000
+dualbound = 2984594.834856, lowerbound=1213666.834856, norm of subgrad 1102.315669 dualbound = 2984594.834856, lowerbound=1213666.834856, norm of subgrad 39.495995 stepsize= 1.000000
+dualbound = 2984711.818550, lowerbound=1214606.818550, norm of subgrad 1102.737874 dualbound = 2984711.818550, lowerbound=1214606.818550, norm of subgrad 39.255365 stepsize= 1.000000
+dualbound = 2984846.851785, lowerbound=1213449.851785, norm of subgrad 1102.208171 dualbound = 2984846.851785, lowerbound=1213449.851785, norm of subgrad 39.345053 stepsize= 1.000000
+dualbound = 2984981.162303, lowerbound=1215421.162303, norm of subgrad 1103.080760 dualbound = 2984981.162303, lowerbound=1215421.162303, norm of subgrad 38.733842 stepsize= 1.000000
+dualbound = 2985114.669218, lowerbound=1215118.669218, norm of subgrad 1102.964945 dualbound = 2985114.669218, lowerbound=1215118.669218, norm of subgrad 39.325652 stepsize= 1.000000
+dualbound = 2985213.177940, lowerbound=1211868.177940, norm of subgrad 1101.478179 dualbound = 2985213.177940, lowerbound=1211868.177940, norm of subgrad 38.529323 stepsize= 1.000000
+dualbound = 2985351.539318, lowerbound=1211885.539318, norm of subgrad 1101.493322 dualbound = 2985351.539318, lowerbound=1211885.539318, norm of subgrad 39.247438 stepsize= 1.000000
+dualbound = 2985504.908574, lowerbound=1213809.908574, norm of subgrad 1102.349268 dualbound = 2985504.908574, lowerbound=1213809.908574, norm of subgrad 38.953424 stepsize= 1.000000
+dualbound = 2985593.527756, lowerbound=1208526.527756, norm of subgrad 1099.962057 dualbound = 2985593.527756, lowerbound=1208526.527756, norm of subgrad 38.452818 stepsize= 1.000000
+dualbound = 2985748.757129, lowerbound=1216432.757129, norm of subgrad 1103.513370 dualbound = 2985748.757129, lowerbound=1216432.757129, norm of subgrad 38.265250 stepsize= 1.000000
+dualbound = 2985885.427073, lowerbound=1213446.427073, norm of subgrad 1102.177584 dualbound = 2985885.427073, lowerbound=1213446.427073, norm of subgrad 38.544389 stepsize= 1.000000
+dualbound = 2986002.193688, lowerbound=1214251.193688, norm of subgrad 1102.535348 dualbound = 2986002.193688, lowerbound=1214251.193688, norm of subgrad 38.075801 stepsize= 1.000000
+dualbound = 2986140.673294, lowerbound=1217498.673294, norm of subgrad 1104.001664 dualbound = 2986140.673294, lowerbound=1217498.673294, norm of subgrad 38.203136 stepsize= 1.000000
+dualbound = 2986272.090209, lowerbound=1214681.090209, norm of subgrad 1102.739811 dualbound = 2986272.090209, lowerbound=1214681.090209, norm of subgrad 38.541107 stepsize= 1.000000
+dualbound = 2986367.800558, lowerbound=1212884.800558, norm of subgrad 1101.949092 dualbound = 2986367.800558, lowerbound=1212884.800558, norm of subgrad 38.764808 stepsize= 1.000000
+dualbound = 2986512.994034, lowerbound=1215595.994034, norm of subgrad 1103.160910 dualbound = 2986512.994034, lowerbound=1215595.994034, norm of subgrad 38.899788 stepsize= 1.000000
+dualbound = 2986632.120657, lowerbound=1212840.120657, norm of subgrad 1101.909761 dualbound = 2986632.120657, lowerbound=1212840.120657, norm of subgrad 38.524364 stepsize= 1.000000
+dualbound = 2986767.244649, lowerbound=1221225.244649, norm of subgrad 1105.706672 dualbound = 2986767.244649, lowerbound=1221225.244649, norm of subgrad 38.692687 stepsize= 1.000000
+dualbound = 2986891.098459, lowerbound=1208219.098459, norm of subgrad 1099.817757 dualbound = 2986891.098459, lowerbound=1208219.098459, norm of subgrad 38.779554 stepsize= 1.000000
+dualbound = 2987012.550958, lowerbound=1216667.550958, norm of subgrad 1103.667319 dualbound = 2987012.550958, lowerbound=1216667.550958, norm of subgrad 39.184850 stepsize= 1.000000
+dualbound = 2987141.126595, lowerbound=1214203.126595, norm of subgrad 1102.538492 dualbound = 2987141.126595, lowerbound=1214203.126595, norm of subgrad 38.943236 stepsize= 1.000000
+dualbound = 2987269.855669, lowerbound=1214921.855669, norm of subgrad 1102.901562 dualbound = 2987269.855669, lowerbound=1214921.855669, norm of subgrad 39.984110 stepsize= 1.000000
+dualbound = 2987353.925569, lowerbound=1211048.925569, norm of subgrad 1101.129386 dualbound = 2987353.925569, lowerbound=1211048.925569, norm of subgrad 39.000896 stepsize= 1.000000
+dualbound = 2987540.456639, lowerbound=1210209.456639, norm of subgrad 1100.710433 dualbound = 2987540.456639, lowerbound=1210209.456639, norm of subgrad 39.249600 stepsize= 1.000000
+dualbound = 2987650.389578, lowerbound=1215216.389578, norm of subgrad 1103.030548 dualbound = 2987650.389578, lowerbound=1215216.389578, norm of subgrad 39.622379 stepsize= 1.000000
+dualbound = 2987752.411224, lowerbound=1213372.411224, norm of subgrad 1102.150358 dualbound = 2987752.411224, lowerbound=1213372.411224, norm of subgrad 38.275601 stepsize= 1.000000
+dualbound = 2987927.453672, lowerbound=1215166.453672, norm of subgrad 1102.959860 dualbound = 2987927.453672, lowerbound=1215166.453672, norm of subgrad 39.102972 stepsize= 1.000000
+dualbound = 2988052.413635, lowerbound=1215481.413635, norm of subgrad 1103.091752 dualbound = 2988052.413635, lowerbound=1215481.413635, norm of subgrad 38.143937 stepsize= 1.000000
+dualbound = 2988158.225350, lowerbound=1213362.225350, norm of subgrad 1102.192463 dualbound = 2988158.225350, lowerbound=1213362.225350, norm of subgrad 39.646081 stepsize= 1.000000
+dualbound = 2988237.670560, lowerbound=1217327.670560, norm of subgrad 1103.967695 dualbound = 2988237.670560, lowerbound=1217327.670560, norm of subgrad 38.683914 stepsize= 1.000000
+dualbound = 2988420.466653, lowerbound=1212211.466653, norm of subgrad 1101.633999 dualbound = 2988420.466653, lowerbound=1212211.466653, norm of subgrad 39.608031 stepsize= 1.000000
+dualbound = 2988521.598756, lowerbound=1219395.598756, norm of subgrad 1104.888501 dualbound = 2988521.598756, lowerbound=1219395.598756, norm of subgrad 38.524435 stepsize= 1.000000
+dualbound = 2988656.546443, lowerbound=1214831.546443, norm of subgrad 1102.804854 dualbound = 2988656.546443, lowerbound=1214831.546443, norm of subgrad 38.496074 stepsize= 1.000000
+dualbound = 2988789.255803, lowerbound=1215834.255803, norm of subgrad 1103.275240 dualbound = 2988789.255803, lowerbound=1215834.255803, norm of subgrad 38.919267 stepsize= 1.000000
+dualbound = 2988906.288590, lowerbound=1210052.288590, norm of subgrad 1100.659933 dualbound = 2988906.288590, lowerbound=1210052.288590, norm of subgrad 38.949105 stepsize= 1.000000
+dualbound = 2989024.734377, lowerbound=1218689.734377, norm of subgrad 1104.594375 dualbound = 2989024.734377, lowerbound=1218689.734377, norm of subgrad 39.464488 stepsize= 1.000000
+dualbound = 2989168.485782, lowerbound=1214902.485782, norm of subgrad 1102.825682 dualbound = 2989168.485782, lowerbound=1214902.485782, norm of subgrad 38.285133 stepsize= 1.000000
+dualbound = 2989316.580342, lowerbound=1212562.580342, norm of subgrad 1101.791078 dualbound = 2989316.580342, lowerbound=1212562.580342, norm of subgrad 39.103639 stepsize= 1.000000
+dualbound = 2989412.920267, lowerbound=1217430.920267, norm of subgrad 1104.024873 dualbound = 2989412.920267, lowerbound=1217430.920267, norm of subgrad 39.196172 stepsize= 1.000000
+dualbound = 2989544.502200, lowerbound=1212220.502200, norm of subgrad 1101.608598 dualbound = 2989544.502200, lowerbound=1212220.502200, norm of subgrad 38.112753 stepsize= 1.000000
+dualbound = 2989694.316850, lowerbound=1215540.316850, norm of subgrad 1103.109386 dualbound = 2989694.316850, lowerbound=1215540.316850, norm of subgrad 38.207521 stepsize= 1.000000
+dualbound = 2989809.305066, lowerbound=1217506.305066, norm of subgrad 1104.009196 dualbound = 2989809.305066, lowerbound=1217506.305066, norm of subgrad 38.013001 stepsize= 1.000000
+dualbound = 2989939.930216, lowerbound=1210948.930216, norm of subgrad 1101.033574 dualbound = 2989939.930216, lowerbound=1210948.930216, norm of subgrad 38.165759 stepsize= 1.000000
+dualbound = 2990052.611893, lowerbound=1212672.611893, norm of subgrad 1101.822859 dualbound = 2990052.611893, lowerbound=1212672.611893, norm of subgrad 38.127178 stepsize= 1.000000
+dualbound = 2990186.164195, lowerbound=1213186.164195, norm of subgrad 1102.030020 dualbound = 2990186.164195, lowerbound=1213186.164195, norm of subgrad 37.650396 stepsize= 1.000000
+dualbound = 2990324.759046, lowerbound=1219115.759046, norm of subgrad 1104.773171 dualbound = 2990324.759046, lowerbound=1219115.759046, norm of subgrad 39.326770 stepsize= 1.000000
+dualbound = 2990399.054811, lowerbound=1215168.054811, norm of subgrad 1102.984159 dualbound = 2990399.054811, lowerbound=1215168.054811, norm of subgrad 38.474612 stepsize= 1.000000
+dualbound = 2990536.881564, lowerbound=1210540.881564, norm of subgrad 1100.883682 dualbound = 2990536.881564, lowerbound=1210540.881564, norm of subgrad 39.266102 stepsize= 1.000000
+dualbound = 2990651.574569, lowerbound=1215419.574569, norm of subgrad 1103.114035 dualbound = 2990651.574569, lowerbound=1215419.574569, norm of subgrad 39.442274 stepsize= 1.000000
+dualbound = 2990789.515913, lowerbound=1216875.515913, norm of subgrad 1103.771043 dualbound = 2990789.515913, lowerbound=1216875.515913, norm of subgrad 39.660325 stepsize= 1.000000
+dualbound = 2990905.620635, lowerbound=1213612.620635, norm of subgrad 1102.282913 dualbound = 2990905.620635, lowerbound=1213612.620635, norm of subgrad 39.129333 stepsize= 1.000000
+dualbound = 2991023.264998, lowerbound=1213866.264998, norm of subgrad 1102.398868 dualbound = 2991023.264998, lowerbound=1213866.264998, norm of subgrad 39.174537 stepsize= 1.000000
+dualbound = 2991160.433970, lowerbound=1216462.433970, norm of subgrad 1103.587529 dualbound = 2991160.433970, lowerbound=1216462.433970, norm of subgrad 39.751339 stepsize= 1.000000
+dualbound = 2991305.302285, lowerbound=1214926.302285, norm of subgrad 1102.850988 dualbound = 2991305.302285, lowerbound=1214926.302285, norm of subgrad 38.715221 stepsize= 1.000000
+dualbound = 2991424.442403, lowerbound=1214663.442403, norm of subgrad 1102.744958 dualbound = 2991424.442403, lowerbound=1214663.442403, norm of subgrad 38.757452 stepsize= 1.000000
+dualbound = 2991567.227568, lowerbound=1217825.227568, norm of subgrad 1104.184870 dualbound = 2991567.227568, lowerbound=1217825.227568, norm of subgrad 39.265572 stepsize= 1.000000
+dualbound = 2991676.453143, lowerbound=1211908.453143, norm of subgrad 1101.482389 dualbound = 2991676.453143, lowerbound=1211908.453143, norm of subgrad 38.265201 stepsize= 1.000000
+dualbound = 2991810.740336, lowerbound=1215216.740336, norm of subgrad 1102.994443 dualbound = 2991810.740336, lowerbound=1215216.740336, norm of subgrad 38.913843 stepsize= 1.000000
+dualbound = 2991921.771793, lowerbound=1215953.771793, norm of subgrad 1103.340279 dualbound = 2991921.771793, lowerbound=1215953.771793, norm of subgrad 38.949088 stepsize= 1.000000
+dualbound = 2992063.822314, lowerbound=1217903.822314, norm of subgrad 1104.204611 dualbound = 2992063.822314, lowerbound=1217903.822314, norm of subgrad 38.807867 stepsize= 1.000000
+dualbound = 2992155.681113, lowerbound=1212152.681113, norm of subgrad 1101.648166 dualbound = 2992155.681113, lowerbound=1212152.681113, norm of subgrad 39.596197 stepsize= 1.000000
+dualbound = 2992301.943313, lowerbound=1217814.943313, norm of subgrad 1104.185194 dualbound = 2992301.943313, lowerbound=1217814.943313, norm of subgrad 39.449489 stepsize= 1.000000
+dualbound = 2992427.873888, lowerbound=1214230.873888, norm of subgrad 1102.550168 dualbound = 2992427.873888, lowerbound=1214230.873888, norm of subgrad 38.883551 stepsize= 1.000000
+dualbound = 2992589.403886, lowerbound=1208894.403886, norm of subgrad 1100.106542 dualbound = 2992589.403886, lowerbound=1208894.403886, norm of subgrad 38.749581 stepsize= 1.000000
+dualbound = 2992686.892773, lowerbound=1216964.892773, norm of subgrad 1103.795222 dualbound = 2992686.892773, lowerbound=1216964.892773, norm of subgrad 38.684479 stepsize= 1.000000
+dualbound = 2992818.958794, lowerbound=1212775.958794, norm of subgrad 1101.912410 dualbound = 2992818.958794, lowerbound=1212775.958794, norm of subgrad 39.586185 stepsize= 1.000000
+dualbound = 2992932.259274, lowerbound=1215103.259274, norm of subgrad 1102.976999 dualbound = 2992932.259274, lowerbound=1215103.259274, norm of subgrad 39.601774 stepsize= 1.000000
+dualbound = 2993057.487996, lowerbound=1221669.487996, norm of subgrad 1105.926077 dualbound = 2993057.487996, lowerbound=1221669.487996, norm of subgrad 39.092566 stepsize= 1.000000
+dualbound = 2993232.063255, lowerbound=1215720.063255, norm of subgrad 1103.199467 dualbound = 2993232.063255, lowerbound=1215720.063255, norm of subgrad 38.775962 stepsize= 1.000000
+dualbound = 2993332.545815, lowerbound=1212164.545815, norm of subgrad 1101.629950 dualbound = 2993332.545815, lowerbound=1212164.545815, norm of subgrad 39.044623 stepsize= 1.000000
+dualbound = 2993439.792043, lowerbound=1215052.792043, norm of subgrad 1102.924654 dualbound = 2993439.792043, lowerbound=1215052.792043, norm of subgrad 38.694266 stepsize= 1.000000
+dualbound = 2993569.838194, lowerbound=1211695.838195, norm of subgrad 1101.401307 dualbound = 2993569.838194, lowerbound=1211695.838195, norm of subgrad 38.974943 stepsize= 1.000000
+dualbound = 2993700.461362, lowerbound=1214967.461362, norm of subgrad 1102.902290 dualbound = 2993700.461362, lowerbound=1214967.461362, norm of subgrad 39.454064 stepsize= 1.000000
+dualbound = 2993785.541117, lowerbound=1216193.541117, norm of subgrad 1103.449836 dualbound = 2993785.541117, lowerbound=1216193.541117, norm of subgrad 38.640390 stepsize= 1.000000
+dualbound = 2993945.066805, lowerbound=1215448.066805, norm of subgrad 1103.118338 dualbound = 2993945.066805, lowerbound=1215448.066805, norm of subgrad 39.768401 stepsize= 1.000000
+dualbound = 2994056.459347, lowerbound=1213859.459347, norm of subgrad 1102.367207 dualbound = 2994056.459347, lowerbound=1213859.459347, norm of subgrad 38.280446 stepsize= 1.000000
+dualbound = 2994204.958081, lowerbound=1221995.958081, norm of subgrad 1106.069599 dualbound = 2994204.958081, lowerbound=1221995.958081, norm of subgrad 39.274658 stepsize= 1.000000
+dualbound = 2994308.877926, lowerbound=1210618.877926, norm of subgrad 1100.920468 dualbound = 2994308.877926, lowerbound=1210618.877926, norm of subgrad 38.870552 stepsize= 1.000000
+dualbound = 2994451.312806, lowerbound=1213603.312806, norm of subgrad 1102.284588 dualbound = 2994451.312806, lowerbound=1213603.312806, norm of subgrad 39.628713 stepsize= 1.000000
+dualbound = 2994571.309121, lowerbound=1214788.309121, norm of subgrad 1102.794319 dualbound = 2994571.309121, lowerbound=1214788.309121, norm of subgrad 38.561591 stepsize= 1.000000
+dualbound = 2994723.296949, lowerbound=1220261.296949, norm of subgrad 1105.266618 dualbound = 2994723.296949, lowerbound=1220261.296949, norm of subgrad 38.794173 stepsize= 1.000000
+dualbound = 2994822.817627, lowerbound=1211888.817627, norm of subgrad 1101.450779 dualbound = 2994822.817627, lowerbound=1211888.817627, norm of subgrad 37.476935 stepsize= 1.000000
+dualbound = 2994978.497635, lowerbound=1215006.497635, norm of subgrad 1102.897773 dualbound = 2994978.497635, lowerbound=1215006.497635, norm of subgrad 39.149457 stepsize= 1.000000
+dualbound = 2995050.672230, lowerbound=1214244.672230, norm of subgrad 1102.566856 dualbound = 2995050.672230, lowerbound=1214244.672230, norm of subgrad 38.486031 stepsize= 1.000000
+dualbound = 2995211.768800, lowerbound=1217000.768800, norm of subgrad 1103.806491 dualbound = 2995211.768800, lowerbound=1217000.768800, norm of subgrad 39.358564 stepsize= 1.000000
+dualbound = 2995326.483843, lowerbound=1217420.483843, norm of subgrad 1104.007013 dualbound = 2995326.483843, lowerbound=1217420.483843, norm of subgrad 39.060402 stepsize= 1.000000
+dualbound = 2995454.506898, lowerbound=1216618.506898, norm of subgrad 1103.636492 dualbound = 2995454.506898, lowerbound=1216618.506898, norm of subgrad 39.025928 stepsize= 1.000000
+dualbound = 2995591.207899, lowerbound=1212647.207899, norm of subgrad 1101.839012 dualbound = 2995591.207899, lowerbound=1212647.207899, norm of subgrad 39.226279 stepsize= 1.000000
+dualbound = 2995707.118879, lowerbound=1214238.118879, norm of subgrad 1102.548012 dualbound = 2995707.118879, lowerbound=1214238.118879, norm of subgrad 38.599365 stepsize= 1.000000
+dualbound = 2995842.339948, lowerbound=1216276.339948, norm of subgrad 1103.480104 dualbound = 2995842.339948, lowerbound=1216276.339948, norm of subgrad 39.079676 stepsize= 1.000000
+dualbound = 2995983.798607, lowerbound=1213953.798607, norm of subgrad 1102.415892 dualbound = 2995983.798607, lowerbound=1213953.798607, norm of subgrad 38.838881 stepsize= 1.000000
+dualbound = 2996086.604506, lowerbound=1214151.604506, norm of subgrad 1102.513766 dualbound = 2996086.604506, lowerbound=1214151.604506, norm of subgrad 38.572087 stepsize= 1.000000
+dualbound = 2996220.773976, lowerbound=1211900.773976, norm of subgrad 1101.499784 dualbound = 2996220.773976, lowerbound=1211900.773976, norm of subgrad 39.181239 stepsize= 1.000000
+dualbound = 2996334.720569, lowerbound=1215314.720569, norm of subgrad 1103.036137 dualbound = 2996334.720569, lowerbound=1215314.720569, norm of subgrad 38.573911 stepsize= 1.000000
+dualbound = 2996465.245269, lowerbound=1218377.245269, norm of subgrad 1104.423037 dualbound = 2996465.245269, lowerbound=1218377.245269, norm of subgrad 38.775310 stepsize= 1.000000
+dualbound = 2996583.195117, lowerbound=1208899.195117, norm of subgrad 1100.157350 dualbound = 2996583.195117, lowerbound=1208899.195117, norm of subgrad 39.559447 stepsize= 1.000000
+dualbound = 2996704.935637, lowerbound=1218535.935637, norm of subgrad 1104.484466 dualbound = 2996704.935637, lowerbound=1218535.935637, norm of subgrad 38.363270 stepsize= 1.000000
+dualbound = 2996861.399480, lowerbound=1213957.399480, norm of subgrad 1102.407547 dualbound = 2996861.399480, lowerbound=1213957.399480, norm of subgrad 38.748727 stepsize= 1.000000
+dualbound = 2996979.958357, lowerbound=1214159.958357, norm of subgrad 1102.527532 dualbound = 2996979.958357, lowerbound=1214159.958357, norm of subgrad 39.058403 stepsize= 1.000000
+dualbound = 2997074.328230, lowerbound=1214887.328230, norm of subgrad 1102.872762 dualbound = 2997074.328230, lowerbound=1214887.328230, norm of subgrad 39.183796 stepsize= 1.000000
+dualbound = 2997206.750765, lowerbound=1217174.750765, norm of subgrad 1103.880768 dualbound = 2997206.750765, lowerbound=1217174.750765, norm of subgrad 38.864155 stepsize= 1.000000
+dualbound = 2997348.843912, lowerbound=1212700.843912, norm of subgrad 1101.862897 dualbound = 2997348.843912, lowerbound=1212700.843912, norm of subgrad 39.282224 stepsize= 1.000000
+dualbound = 2997475.890528, lowerbound=1214203.890528, norm of subgrad 1102.564234 dualbound = 2997475.890528, lowerbound=1214203.890528, norm of subgrad 39.636430 stepsize= 1.000000
+dualbound = 2997562.522028, lowerbound=1215818.522028, norm of subgrad 1103.285784 dualbound = 2997562.522028, lowerbound=1215818.522028, norm of subgrad 38.828231 stepsize= 1.000000
+dualbound = 2997733.554987, lowerbound=1216332.554987, norm of subgrad 1103.490623 dualbound = 2997733.554987, lowerbound=1216332.554987, norm of subgrad 39.115636 stepsize= 1.000000
+dualbound = 2997846.937931, lowerbound=1215454.937931, norm of subgrad 1103.096976 dualbound = 2997846.937931, lowerbound=1215454.937931, norm of subgrad 38.488738 stepsize= 1.000000
+dualbound = 2997995.273393, lowerbound=1211736.273393, norm of subgrad 1101.431466 dualbound = 2997995.273393, lowerbound=1211736.273393, norm of subgrad 39.539037 stepsize= 1.000000
+dualbound = 2998084.188834, lowerbound=1216316.188834, norm of subgrad 1103.508128 dualbound = 2998084.188834, lowerbound=1216316.188834, norm of subgrad 38.767453 stepsize= 1.000000
+dualbound = 2998250.126023, lowerbound=1216009.126023, norm of subgrad 1103.319141 dualbound = 2998250.126023, lowerbound=1216009.126023, norm of subgrad 38.339760 stepsize= 1.000000
+dualbound = 2998355.242839, lowerbound=1219879.242839, norm of subgrad 1105.100558 dualbound = 2998355.242839, lowerbound=1219879.242839, norm of subgrad 38.381204 stepsize= 1.000000
+dualbound = 2998469.414272, lowerbound=1212690.414272, norm of subgrad 1101.883576 dualbound = 2998469.414272, lowerbound=1212690.414272, norm of subgrad 39.638005 stepsize= 1.000000
+dualbound = 2998597.615936, lowerbound=1217231.615936, norm of subgrad 1103.899278 dualbound = 2998597.615936, lowerbound=1217231.615936, norm of subgrad 38.603130 stepsize= 1.000000
+dualbound = 2998703.949437, lowerbound=1217692.949437, norm of subgrad 1104.133574 dualbound = 2998703.949437, lowerbound=1217692.949437, norm of subgrad 39.042714 stepsize= 1.000000
+dualbound = 2998834.434891, lowerbound=1215739.434891, norm of subgrad 1103.217764 dualbound = 2998834.434891, lowerbound=1215739.434891, norm of subgrad 38.477077 stepsize= 1.000000
+dualbound = 2998985.875127, lowerbound=1216911.875127, norm of subgrad 1103.750368 dualbound = 2998985.875127, lowerbound=1216911.875127, norm of subgrad 38.787114 stepsize= 1.000000
+dualbound = 2999084.741198, lowerbound=1212565.741198, norm of subgrad 1101.772091 dualbound = 2999084.741198, lowerbound=1212565.741198, norm of subgrad 37.879626 stepsize= 1.000000
+dualbound = 2999260.885023, lowerbound=1216712.885023, norm of subgrad 1103.643459 dualbound = 2999260.885023, lowerbound=1216712.885023, norm of subgrad 38.628278 stepsize= 1.000000
+dualbound = 2999341.237943, lowerbound=1208403.237943, norm of subgrad 1099.915105 dualbound = 2999341.237943, lowerbound=1208403.237943, norm of subgrad 38.605089 stepsize= 1.000000
+dualbound = 2999451.182825, lowerbound=1215129.182825, norm of subgrad 1102.983764 dualbound = 2999451.182825, lowerbound=1215129.182825, norm of subgrad 39.420108 stepsize= 1.000000
+dualbound = 2999582.429062, lowerbound=1219691.429062, norm of subgrad 1105.018746 dualbound = 2999582.429062, lowerbound=1219691.429062, norm of subgrad 38.810388 stepsize= 1.000000
+dualbound = 2999731.421385, lowerbound=1213836.421385, norm of subgrad 1102.354943 dualbound = 2999731.421385, lowerbound=1213836.421385, norm of subgrad 38.716822 stepsize= 1.000000
+dualbound = 2999844.131104, lowerbound=1215856.131104, norm of subgrad 1103.263854 dualbound = 2999844.131104, lowerbound=1215856.131104, norm of subgrad 38.048781 stepsize= 1.000000
+dualbound = 2999986.552350, lowerbound=1218260.552350, norm of subgrad 1104.373828 dualbound = 2999986.552350, lowerbound=1218260.552350, norm of subgrad 39.031029 stepsize= 1.000000
+dualbound = 3000112.563789, lowerbound=1211277.563789, norm of subgrad 1101.195516 dualbound = 3000112.563789, lowerbound=1211277.563789, norm of subgrad 38.470917 stepsize= 1.000000
+dualbound = 3000211.101098, lowerbound=1214181.101098, norm of subgrad 1102.514445 dualbound = 3000211.101098, lowerbound=1214181.101098, norm of subgrad 38.151505 stepsize= 1.000000
+dualbound = 3000351.982286, lowerbound=1217566.982286, norm of subgrad 1104.033959 dualbound = 3000351.982286, lowerbound=1217566.982286, norm of subgrad 38.273766 stepsize= 1.000000
+dualbound = 3000484.488119, lowerbound=1216943.488119, norm of subgrad 1103.763330 dualbound = 3000484.488119, lowerbound=1216943.488119, norm of subgrad 38.503322 stepsize= 1.000000
+dualbound = 3000607.063895, lowerbound=1216791.063895, norm of subgrad 1103.696998 dualbound = 3000607.063895, lowerbound=1216791.063895, norm of subgrad 38.452253 stepsize= 1.000000
+dualbound = 3000758.413983, lowerbound=1214154.413983, norm of subgrad 1102.515494 dualbound = 3000758.413983, lowerbound=1214154.413983, norm of subgrad 39.209056 stepsize= 1.000000
+dualbound = 3000844.434813, lowerbound=1213252.434813, norm of subgrad 1102.134490 dualbound = 3000844.434813, lowerbound=1213252.434813, norm of subgrad 39.166578 stepsize= 1.000000
+dualbound = 3000971.289288, lowerbound=1211036.289288, norm of subgrad 1101.125465 dualbound = 3000971.289288, lowerbound=1211036.289288, norm of subgrad 39.596142 stepsize= 1.000000
+dualbound = 3001079.705918, lowerbound=1217375.705918, norm of subgrad 1104.003490 dualbound = 3001079.705918, lowerbound=1217375.705918, norm of subgrad 39.451446 stepsize= 1.000000
+dualbound = 3001200.179501, lowerbound=1215503.179501, norm of subgrad 1103.135612 dualbound = 3001200.179501, lowerbound=1215503.179501, norm of subgrad 39.057312 stepsize= 1.000000
+dualbound = 3001347.676489, lowerbound=1216147.676489, norm of subgrad 1103.414553 dualbound = 3001347.676489, lowerbound=1216147.676489, norm of subgrad 39.032000 stepsize= 1.000000
+dualbound = 3001493.572042, lowerbound=1215367.572042, norm of subgrad 1103.042870 dualbound = 3001493.572042, lowerbound=1215367.572042, norm of subgrad 38.495397 stepsize= 1.000000
+dualbound = 3001586.914051, lowerbound=1216708.914051, norm of subgrad 1103.657517 dualbound = 3001586.914051, lowerbound=1216708.914051, norm of subgrad 38.004500 stepsize= 1.000000
+dualbound = 3001727.462324, lowerbound=1219505.462324, norm of subgrad 1104.943647 dualbound = 3001727.462324, lowerbound=1219505.462324, norm of subgrad 39.186072 stepsize= 1.000000
+dualbound = 3001832.506327, lowerbound=1217282.506327, norm of subgrad 1103.950409 dualbound = 3001832.506327, lowerbound=1217282.506327, norm of subgrad 39.102992 stepsize= 1.000000
+dualbound = 3001958.530205, lowerbound=1210722.530205, norm of subgrad 1100.943473 dualbound = 3001958.530205, lowerbound=1210722.530205, norm of subgrad 38.471078 stepsize= 1.000000
+dualbound = 3002101.827850, lowerbound=1216873.827850, norm of subgrad 1103.751706 dualbound = 3002101.827850, lowerbound=1216873.827850, norm of subgrad 39.208387 stepsize= 1.000000
+dualbound = 3002222.603364, lowerbound=1216645.603364, norm of subgrad 1103.628834 dualbound = 3002222.603364, lowerbound=1216645.603364, norm of subgrad 38.363727 stepsize= 1.000000
+dualbound = 3002359.943421, lowerbound=1213986.943421, norm of subgrad 1102.413236 dualbound = 3002359.943421, lowerbound=1213986.943421, norm of subgrad 38.279760 stepsize= 1.000000
+dualbound = 3002475.876414, lowerbound=1208491.876414, norm of subgrad 1099.898121 dualbound = 3002475.876414, lowerbound=1208491.876414, norm of subgrad 37.415678 stepsize= 1.000000
+dualbound = 3002614.910944, lowerbound=1221441.910944, norm of subgrad 1105.803288 dualbound = 3002614.910944, lowerbound=1221441.910944, norm of subgrad 38.704451 stepsize= 1.000000
+dualbound = 3002730.682976, lowerbound=1214816.682976, norm of subgrad 1102.793581 dualbound = 3002730.682976, lowerbound=1214816.682976, norm of subgrad 38.115247 stepsize= 1.000000
+dualbound = 3002861.744237, lowerbound=1212708.744237, norm of subgrad 1101.851507 dualbound = 3002861.744237, lowerbound=1212708.744237, norm of subgrad 38.717713 stepsize= 1.000000
+dualbound = 3002984.924156, lowerbound=1215721.924156, norm of subgrad 1103.227503 dualbound = 3002984.924156, lowerbound=1215721.924156, norm of subgrad 38.886758 stepsize= 1.000000
+dualbound = 3003102.485008, lowerbound=1210893.485008, norm of subgrad 1101.044724 dualbound = 3003102.485008, lowerbound=1210893.485008, norm of subgrad 39.032818 stepsize= 1.000000
+dualbound = 3003218.733117, lowerbound=1216097.733117, norm of subgrad 1103.432251 dualbound = 3003218.733117, lowerbound=1216097.733117, norm of subgrad 39.764911 stepsize= 1.000000
+dualbound = 3003327.506975, lowerbound=1219656.506975, norm of subgrad 1105.000229 dualbound = 3003327.506975, lowerbound=1219656.506975, norm of subgrad 38.441824 stepsize= 1.000000
+dualbound = 3003483.780456, lowerbound=1214439.780456, norm of subgrad 1102.644449 dualbound = 3003483.780456, lowerbound=1214439.780456, norm of subgrad 39.259056 stepsize= 1.000000
+dualbound = 3003611.527310, lowerbound=1216097.527310, norm of subgrad 1103.380953 dualbound = 3003611.527310, lowerbound=1216097.527310, norm of subgrad 38.467478 stepsize= 1.000000
+dualbound = 3003739.793203, lowerbound=1215520.793203, norm of subgrad 1103.125466 dualbound = 3003739.793203, lowerbound=1215520.793203, norm of subgrad 38.642799 stepsize= 1.000000
+dualbound = 3003878.156010, lowerbound=1213069.156010, norm of subgrad 1102.039544 dualbound = 3003878.156010, lowerbound=1213069.156010, norm of subgrad 39.501428 stepsize= 1.000000
+dualbound = 3003949.285963, lowerbound=1215074.285963, norm of subgrad 1102.964771 dualbound = 3003949.285963, lowerbound=1215074.285963, norm of subgrad 39.091303 stepsize= 1.000000
+dualbound = 3004118.448967, lowerbound=1214241.448967, norm of subgrad 1102.556778 dualbound = 3004118.448967, lowerbound=1214241.448967, norm of subgrad 39.486238 stepsize= 1.000000
+dualbound = 3004221.482124, lowerbound=1213249.482124, norm of subgrad 1102.135873 dualbound = 3004221.482124, lowerbound=1213249.482124, norm of subgrad 39.459259 stepsize= 1.000000
+dualbound = 3004350.660328, lowerbound=1216148.660328, norm of subgrad 1103.404577 dualbound = 3004350.660328, lowerbound=1216148.660328, norm of subgrad 38.499068 stepsize= 1.000000
+dualbound = 3004492.995414, lowerbound=1214499.995414, norm of subgrad 1102.668579 dualbound = 3004492.995414, lowerbound=1214499.995414, norm of subgrad 38.991475 stepsize= 1.000000
+dualbound = 3004610.450023, lowerbound=1220200.450023, norm of subgrad 1105.249044 dualbound = 3004610.450023, lowerbound=1220200.450023, norm of subgrad 38.632300 stepsize= 1.000000
+dualbound = 3004747.800241, lowerbound=1213627.800241, norm of subgrad 1102.250335 dualbound = 3004747.800241, lowerbound=1213627.800241, norm of subgrad 38.279893 stepsize= 1.000000
+dualbound = 3004882.289288, lowerbound=1220145.289288, norm of subgrad 1105.203732 dualbound = 3004882.289288, lowerbound=1220145.289288, norm of subgrad 38.268643 stepsize= 1.000000
+dualbound = 3004996.990137, lowerbound=1214941.990137, norm of subgrad 1102.811856 dualbound = 3004996.990137, lowerbound=1214941.990137, norm of subgrad 36.968917 stepsize= 1.000000
+dualbound = 3005125.247512, lowerbound=1214698.247512, norm of subgrad 1102.740335 dualbound = 3005125.247512, lowerbound=1214698.247512, norm of subgrad 38.291740 stepsize= 1.000000
+dualbound = 3005224.306942, lowerbound=1215021.306942, norm of subgrad 1102.929421 dualbound = 3005224.306942, lowerbound=1215021.306942, norm of subgrad 39.128755 stepsize= 1.000000
+dualbound = 3005357.002546, lowerbound=1217243.002546, norm of subgrad 1103.897641 dualbound = 3005357.002546, lowerbound=1217243.002546, norm of subgrad 38.466812 stepsize= 1.000000
+dualbound = 3005483.272530, lowerbound=1212671.272530, norm of subgrad 1101.844940 dualbound = 3005483.272530, lowerbound=1212671.272530, norm of subgrad 38.952150 stepsize= 1.000000
+dualbound = 3005604.514336, lowerbound=1216141.514336, norm of subgrad 1103.391370 dualbound = 3005604.514336, lowerbound=1216141.514336, norm of subgrad 38.108291 stepsize= 1.000000
+dualbound = 3005759.688385, lowerbound=1216409.688385, norm of subgrad 1103.512885 dualbound = 3005759.688385, lowerbound=1216409.688385, norm of subgrad 38.550928 stepsize= 1.000000
+dualbound = 3005858.888026, lowerbound=1214064.888026, norm of subgrad 1102.487137 dualbound = 3005858.888026, lowerbound=1214064.888026, norm of subgrad 38.887011 stepsize= 1.000000
+dualbound = 3005974.804199, lowerbound=1214119.804199, norm of subgrad 1102.496623 dualbound = 3005974.804199, lowerbound=1214119.804199, norm of subgrad 38.664146 stepsize= 1.000000
+dualbound = 3006117.853926, lowerbound=1218807.853926, norm of subgrad 1104.614799 dualbound = 3006117.853926, lowerbound=1218807.853926, norm of subgrad 38.846489 stepsize= 1.000000
+dualbound = 3006239.815587, lowerbound=1213409.815587, norm of subgrad 1102.167326 dualbound = 3006239.815587, lowerbound=1213409.815587, norm of subgrad 38.535200 stepsize= 1.000000
+dualbound = 3006352.176133, lowerbound=1216478.176133, norm of subgrad 1103.608253 dualbound = 3006352.176133, lowerbound=1216478.176133, norm of subgrad 39.816586 stepsize= 1.000000
+dualbound = 3006459.924697, lowerbound=1214658.924697, norm of subgrad 1102.762406 dualbound = 3006459.924697, lowerbound=1214658.924697, norm of subgrad 39.163102 stepsize= 1.000000
+dualbound = 3006618.936986, lowerbound=1222322.936986, norm of subgrad 1106.177173 dualbound = 3006618.936986, lowerbound=1222322.936986, norm of subgrad 38.262414 stepsize= 1.000000
+dualbound = 3006751.841769, lowerbound=1213462.841769, norm of subgrad 1102.185484 dualbound = 3006751.841769, lowerbound=1213462.841769, norm of subgrad 38.508503 stepsize= 1.000000
+dualbound = 3006887.443489, lowerbound=1216611.443489, norm of subgrad 1103.605203 dualbound = 3006887.443489, lowerbound=1216611.443489, norm of subgrad 38.322340 stepsize= 1.000000
+dualbound = 3007003.831769, lowerbound=1215720.831769, norm of subgrad 1103.210239 dualbound = 3007003.831769, lowerbound=1215720.831769, norm of subgrad 38.319555 stepsize= 1.000000
+dualbound = 3007116.089212, lowerbound=1213102.089212, norm of subgrad 1102.020458 dualbound = 3007116.089212, lowerbound=1213102.089212, norm of subgrad 38.200228 stepsize= 1.000000
+dualbound = 3007250.846038, lowerbound=1215462.846038, norm of subgrad 1103.096481 dualbound = 3007250.846038, lowerbound=1215462.846038, norm of subgrad 38.649150 stepsize= 1.000000
+dualbound = 3007350.074917, lowerbound=1214943.074917, norm of subgrad 1102.909368 dualbound = 3007350.074917, lowerbound=1214943.074917, norm of subgrad 39.562974 stepsize= 1.000000
+dualbound = 3007491.509216, lowerbound=1213944.509216, norm of subgrad 1102.447509 dualbound = 3007491.509216, lowerbound=1213944.509216, norm of subgrad 39.842619 stepsize= 1.000000
+dualbound = 3007600.961215, lowerbound=1218094.961215, norm of subgrad 1104.320135 dualbound = 3007600.961215, lowerbound=1218094.961215, norm of subgrad 39.210356 stepsize= 1.000000
+dualbound = 3007741.425832, lowerbound=1211999.425832, norm of subgrad 1101.511428 dualbound = 3007741.425832, lowerbound=1211999.425832, norm of subgrad 38.320551 stepsize= 1.000000
+dualbound = 3007887.980980, lowerbound=1215729.980980, norm of subgrad 1103.189912 dualbound = 3007887.980980, lowerbound=1215729.980980, norm of subgrad 38.007304 stepsize= 1.000000
+dualbound = 3008021.010473, lowerbound=1215783.010473, norm of subgrad 1103.257908 dualbound = 3008021.010473, lowerbound=1215783.010473, norm of subgrad 39.090018 stepsize= 1.000000
+dualbound = 3008094.483856, lowerbound=1214399.483856, norm of subgrad 1102.632524 dualbound = 3008094.483856, lowerbound=1214399.483856, norm of subgrad 38.372821 stepsize= 1.000000
+dualbound = 3008255.873738, lowerbound=1215350.873738, norm of subgrad 1103.036660 dualbound = 3008255.873738, lowerbound=1215350.873738, norm of subgrad 38.734866 stepsize= 1.000000
+dualbound = 3008398.160124, lowerbound=1216067.160124, norm of subgrad 1103.349065 dualbound = 3008398.160124, lowerbound=1216067.160124, norm of subgrad 38.135107 stepsize= 1.000000
+dualbound = 3008512.646310, lowerbound=1217492.646310, norm of subgrad 1104.040600 dualbound = 3008512.646310, lowerbound=1217492.646310, norm of subgrad 39.083068 stepsize= 1.000000
+dualbound = 3008612.201392, lowerbound=1212122.201392, norm of subgrad 1101.573965 dualbound = 3008612.201392, lowerbound=1212122.201392, norm of subgrad 37.980983 stepsize= 1.000000
+dualbound = 3008749.145934, lowerbound=1219339.145934, norm of subgrad 1104.854355 dualbound = 3008749.145934, lowerbound=1219339.145934, norm of subgrad 38.742026 stepsize= 1.000000
+dualbound = 3008887.468222, lowerbound=1215207.468222, norm of subgrad 1102.961227 dualbound = 3008887.468222, lowerbound=1215207.468222, norm of subgrad 38.135578 stepsize= 1.000000
+dualbound = 3009015.145334, lowerbound=1219167.145334, norm of subgrad 1104.815435 dualbound = 3009015.145334, lowerbound=1219167.145334, norm of subgrad 39.719984 stepsize= 1.000000
+dualbound = 3009120.499546, lowerbound=1217482.499546, norm of subgrad 1104.012454 dualbound = 3009120.499546, lowerbound=1217482.499546, norm of subgrad 38.293005 stepsize= 1.000000
+dualbound = 3009246.099988, lowerbound=1215461.099988, norm of subgrad 1103.117446 dualbound = 3009246.099988, lowerbound=1215461.099988, norm of subgrad 39.148441 stepsize= 1.000000
+dualbound = 3009386.938657, lowerbound=1213065.938657, norm of subgrad 1102.008139 dualbound = 3009386.938657, lowerbound=1213065.938657, norm of subgrad 38.688999 stepsize= 1.000000
+dualbound = 3009492.694063, lowerbound=1214517.694063, norm of subgrad 1102.697916 dualbound = 3009492.694063, lowerbound=1214517.694063, norm of subgrad 39.124869 stepsize= 1.000000
+dualbound = 3009598.412324, lowerbound=1213665.412324, norm of subgrad 1102.317746 dualbound = 3009598.412324, lowerbound=1213665.412324, norm of subgrad 39.302904 stepsize= 1.000000
+dualbound = 3009724.429383, lowerbound=1217030.429383, norm of subgrad 1103.813585 dualbound = 3009724.429383, lowerbound=1217030.429383, norm of subgrad 38.730054 stepsize= 1.000000
+dualbound = 3009879.793345, lowerbound=1218350.793345, norm of subgrad 1104.377106 dualbound = 3009879.793345, lowerbound=1218350.793345, norm of subgrad 38.123011 stepsize= 1.000000
+dualbound = 3010038.857865, lowerbound=1215822.857865, norm of subgrad 1103.250587 dualbound = 3010038.857865, lowerbound=1215822.857865, norm of subgrad 38.704838 stepsize= 1.000000
+dualbound = 3010131.351587, lowerbound=1214273.351587, norm of subgrad 1102.581676 dualbound = 3010131.351587, lowerbound=1214273.351587, norm of subgrad 38.800692 stepsize= 1.000000
+dualbound = 3010225.903199, lowerbound=1216401.903199, norm of subgrad 1103.530200 dualbound = 3010225.903199, lowerbound=1216401.903199, norm of subgrad 38.360808 stepsize= 1.000000
+dualbound = 3010386.206647, lowerbound=1213457.206647, norm of subgrad 1102.167050 dualbound = 3010386.206647, lowerbound=1213457.206647, norm of subgrad 38.409679 stepsize= 1.000000
+dualbound = 3010514.375510, lowerbound=1217508.375510, norm of subgrad 1104.035043 dualbound = 3010514.375510, lowerbound=1217508.375510, norm of subgrad 38.899471 stepsize= 1.000000
+dualbound = 3010609.484106, lowerbound=1212208.484106, norm of subgrad 1101.626744 dualbound = 3010609.484106, lowerbound=1212208.484106, norm of subgrad 38.315905 stepsize= 1.000000
+dualbound = 3010749.899234, lowerbound=1219973.899234, norm of subgrad 1105.123929 dualbound = 3010749.899234, lowerbound=1219973.899234, norm of subgrad 38.280741 stepsize= 1.000000
+dualbound = 3010907.162487, lowerbound=1217970.162487, norm of subgrad 1104.213821 dualbound = 3010907.162487, lowerbound=1217970.162487, norm of subgrad 38.409156 stepsize= 1.000000
+dualbound = 3010996.770350, lowerbound=1214340.770350, norm of subgrad 1102.611341 dualbound = 3010996.770350, lowerbound=1214340.770350, norm of subgrad 38.737680 stepsize= 1.000000
+dualbound = 3011121.544471, lowerbound=1213849.544471, norm of subgrad 1102.350917 dualbound = 3011121.544471, lowerbound=1213849.544471, norm of subgrad 38.115274 stepsize= 1.000000
+dualbound = 3011269.736898, lowerbound=1217252.736898, norm of subgrad 1103.871703 dualbound = 3011269.736898, lowerbound=1217252.736898, norm of subgrad 37.791433 stepsize= 1.000000
+dualbound = 3011417.116994, lowerbound=1214744.116994, norm of subgrad 1102.769295 dualbound = 3011417.116994, lowerbound=1214744.116994, norm of subgrad 38.773446 stepsize= 1.000000
+dualbound = 3011500.236693, lowerbound=1216001.236693, norm of subgrad 1103.346381 dualbound = 3011500.236693, lowerbound=1216001.236693, norm of subgrad 38.146031 stepsize= 1.000000
+dualbound = 3011614.962998, lowerbound=1213511.962998, norm of subgrad 1102.234532 dualbound = 3011614.962998, lowerbound=1213511.962998, norm of subgrad 39.034937 stepsize= 1.000000
+dualbound = 3011755.004409, lowerbound=1218383.004409, norm of subgrad 1104.445112 dualbound = 3011755.004409, lowerbound=1218383.004409, norm of subgrad 39.446691 stepsize= 1.000000
+dualbound = 3011875.490566, lowerbound=1216289.490566, norm of subgrad 1103.489234 dualbound = 3011875.490566, lowerbound=1216289.490566, norm of subgrad 38.980587 stepsize= 1.000000
+dualbound = 3011988.114401, lowerbound=1215156.114401, norm of subgrad 1103.004585 dualbound = 3011988.114401, lowerbound=1215156.114401, norm of subgrad 39.694128 stepsize= 1.000000
+dualbound = 3012098.768451, lowerbound=1217255.768451, norm of subgrad 1103.939205 dualbound = 3012098.768451, lowerbound=1217255.768451, norm of subgrad 39.200179 stepsize= 1.000000
+dualbound = 3012247.785319, lowerbound=1214031.785319, norm of subgrad 1102.460786 dualbound = 3012247.785319, lowerbound=1214031.785319, norm of subgrad 39.204807 stepsize= 1.000000
+dualbound = 3012399.924359, lowerbound=1221237.924359, norm of subgrad 1105.685274 dualbound = 3012399.924359, lowerbound=1221237.924359, norm of subgrad 38.133175 stepsize= 1.000000
+dualbound = 3012524.161192, lowerbound=1212020.161192, norm of subgrad 1101.539904 dualbound = 3012524.161192, lowerbound=1212020.161192, norm of subgrad 38.655360 stepsize= 1.000000
+dualbound = 3012618.330821, lowerbound=1210443.330821, norm of subgrad 1100.809852 dualbound = 3012618.330821, lowerbound=1210443.330821, norm of subgrad 37.857227 stepsize= 1.000000
+dualbound = 3012776.742772, lowerbound=1219290.742772, norm of subgrad 1104.809369 dualbound = 3012776.742772, lowerbound=1219290.742772, norm of subgrad 38.358988 stepsize= 1.000000
+dualbound = 3012891.308890, lowerbound=1213637.308890, norm of subgrad 1102.286854 dualbound = 3012891.308890, lowerbound=1213637.308890, norm of subgrad 38.904577 stepsize= 1.000000
+dualbound = 3013013.638789, lowerbound=1213236.638789, norm of subgrad 1102.098743 dualbound = 3013013.638789, lowerbound=1213236.638789, norm of subgrad 38.824347 stepsize= 1.000000
+dualbound = 3013120.007781, lowerbound=1216815.007781, norm of subgrad 1103.728684 dualbound = 3013120.007781, lowerbound=1216815.007781, norm of subgrad 38.837726 stepsize= 1.000000
+dualbound = 3013251.264909, lowerbound=1217996.264909, norm of subgrad 1104.247828 dualbound = 3013251.264909, lowerbound=1217996.264909, norm of subgrad 38.707327 stepsize= 1.000000
+dualbound = 3013389.671977, lowerbound=1222478.671977, norm of subgrad 1106.274682 dualbound = 3013389.671977, lowerbound=1222478.671977, norm of subgrad 38.773794 stepsize= 1.000000
+dualbound = 3013525.532850, lowerbound=1215199.532850, norm of subgrad 1103.009761 dualbound = 3013525.532850, lowerbound=1215199.532850, norm of subgrad 39.583593 stepsize= 1.000000
+dualbound = 3013601.755853, lowerbound=1218886.755853, norm of subgrad 1104.645987 dualbound = 3013601.755853, lowerbound=1218886.755853, norm of subgrad 37.844722 stepsize= 1.000000
+dualbound = 3013755.969568, lowerbound=1212783.969568, norm of subgrad 1101.876114 dualbound = 3013755.969568, lowerbound=1212783.969568, norm of subgrad 38.745499 stepsize= 1.000000
+dualbound = 3013876.303810, lowerbound=1218642.303810, norm of subgrad 1104.505909 dualbound = 3013876.303810, lowerbound=1218642.303810, norm of subgrad 37.567729 stepsize= 1.000000
+dualbound = 3014011.986216, lowerbound=1214758.986216, norm of subgrad 1102.759260 dualbound = 3014011.986216, lowerbound=1214758.986216, norm of subgrad 38.140299 stepsize= 1.000000
+dualbound = 3014115.482118, lowerbound=1220839.482118, norm of subgrad 1105.568850 dualbound = 3014115.482118, lowerbound=1220839.482118, norm of subgrad 39.325512 stepsize= 1.000000
+dualbound = 3014215.040206, lowerbound=1210772.040206, norm of subgrad 1100.989573 dualbound = 3014215.040206, lowerbound=1210772.040206, norm of subgrad 38.801522 stepsize= 1.000000
+dualbound = 3014362.695813, lowerbound=1220942.695813, norm of subgrad 1105.596082 dualbound = 3014362.695813, lowerbound=1220942.695813, norm of subgrad 39.340254 stepsize= 1.000000
+dualbound = 3014473.847160, lowerbound=1212057.847160, norm of subgrad 1101.551564 dualbound = 3014473.847160, lowerbound=1212057.847160, norm of subgrad 38.329510 stepsize= 1.000000
+dualbound = 3014617.065107, lowerbound=1221872.065107, norm of subgrad 1106.009975 dualbound = 3014617.065107, lowerbound=1221872.065107, norm of subgrad 39.105216 stepsize= 1.000000
+dualbound = 3014730.917302, lowerbound=1212571.917302, norm of subgrad 1101.797585 dualbound = 3014730.917302, lowerbound=1212571.917302, norm of subgrad 38.727925 stepsize= 1.000000
+dualbound = 3014861.540342, lowerbound=1220913.540342, norm of subgrad 1105.605961 dualbound = 3014861.540342, lowerbound=1220913.540342, norm of subgrad 39.769625 stepsize= 1.000000
+dualbound = 3014990.063428, lowerbound=1210524.063428, norm of subgrad 1100.852880 dualbound = 3014990.063428, lowerbound=1210524.063428, norm of subgrad 38.490558 stepsize= 1.000000
+dualbound = 3015115.989825, lowerbound=1220071.989825, norm of subgrad 1105.206763 dualbound = 3015115.989825, lowerbound=1220071.989825, norm of subgrad 39.190897 stepsize= 1.000000
+dualbound = 3015242.085318, lowerbound=1215963.085318, norm of subgrad 1103.309152 dualbound = 3015242.085318, lowerbound=1215963.085318, norm of subgrad 38.132604 stepsize= 1.000000
+dualbound = 3015406.540924, lowerbound=1215700.540924, norm of subgrad 1103.206482 dualbound = 3015406.540924, lowerbound=1215700.540924, norm of subgrad 39.095468 stepsize= 1.000000
+dualbound = 3015490.223633, lowerbound=1213202.223633, norm of subgrad 1102.076324 dualbound = 3015490.223633, lowerbound=1213202.223633, norm of subgrad 38.127191 stepsize= 1.000000
+dualbound = 3015622.246977, lowerbound=1219449.246977, norm of subgrad 1104.889246 dualbound = 3015622.246977, lowerbound=1219449.246977, norm of subgrad 38.249488 stepsize= 1.000000
+dualbound = 3015752.101922, lowerbound=1215646.101922, norm of subgrad 1103.184074 dualbound = 3015752.101922, lowerbound=1215646.101922, norm of subgrad 38.715048 stepsize= 1.000000
+dualbound = 3015888.021426, lowerbound=1221202.021426, norm of subgrad 1105.686674 dualbound = 3015888.021426, lowerbound=1221202.021426, norm of subgrad 38.430710 stepsize= 1.000000
+dualbound = 3015989.643223, lowerbound=1216026.643223, norm of subgrad 1103.370130 dualbound = 3015989.643223, lowerbound=1216026.643223, norm of subgrad 38.737860 stepsize= 1.000000
+dualbound = 3016095.460683, lowerbound=1217450.460683, norm of subgrad 1104.027382 dualbound = 3016095.460683, lowerbound=1217450.460683, norm of subgrad 39.138440 stepsize= 1.000000
+dualbound = 3016224.249400, lowerbound=1214006.249400, norm of subgrad 1102.424714 dualbound = 3016224.249400, lowerbound=1214006.249400, norm of subgrad 38.246421 stepsize= 1.000000
+dualbound = 3016373.258714, lowerbound=1215800.258714, norm of subgrad 1103.232187 dualbound = 3016373.258714, lowerbound=1215800.258714, norm of subgrad 38.340700 stepsize= 1.000000
+dualbound = 3016460.327804, lowerbound=1216955.327804, norm of subgrad 1103.794060 dualbound = 3016460.327804, lowerbound=1216955.327804, norm of subgrad 38.640252 stepsize= 1.000000
+dualbound = 3016583.799910, lowerbound=1220681.799910, norm of subgrad 1105.468588 dualbound = 3016583.799910, lowerbound=1220681.799910, norm of subgrad 38.761735 stepsize= 1.000000
+dualbound = 3016700.915403, lowerbound=1213830.915403, norm of subgrad 1102.374671 dualbound = 3016700.915403, lowerbound=1213830.915403, norm of subgrad 38.937328 stepsize= 1.000000
+dualbound = 3016833.526833, lowerbound=1218338.526833, norm of subgrad 1104.427239 dualbound = 3016833.526833, lowerbound=1218338.526833, norm of subgrad 39.415878 stepsize= 1.000000
+dualbound = 3016963.599082, lowerbound=1212665.599082, norm of subgrad 1101.841458 dualbound = 3016963.599082, lowerbound=1212665.599082, norm of subgrad 38.975277 stepsize= 1.000000
+dualbound = 3017093.368026, lowerbound=1216976.368026, norm of subgrad 1103.781395 dualbound = 3017093.368026, lowerbound=1216976.368026, norm of subgrad 38.558643 stepsize= 1.000000
+dualbound = 3017240.315286, lowerbound=1218350.315286, norm of subgrad 1104.393189 dualbound = 3017240.315286, lowerbound=1218350.315286, norm of subgrad 38.483078 stepsize= 1.000000
+dualbound = 3017373.015949, lowerbound=1214882.015949, norm of subgrad 1102.798266 dualbound = 3017373.015949, lowerbound=1214882.015949, norm of subgrad 37.612507 stepsize= 1.000000
+dualbound = 3017509.317929, lowerbound=1214229.317929, norm of subgrad 1102.529055 dualbound = 3017509.317929, lowerbound=1214229.317929, norm of subgrad 38.435686 stepsize= 1.000000
+dualbound = 3017598.384215, lowerbound=1219663.384215, norm of subgrad 1105.008771 dualbound = 3017598.384215, lowerbound=1219663.384215, norm of subgrad 38.341443 stepsize= 1.000000
+dualbound = 3017717.626746, lowerbound=1216208.626746, norm of subgrad 1103.422234 dualbound = 3017717.626746, lowerbound=1216208.626746, norm of subgrad 38.095177 stepsize= 1.000000
+dualbound = 3017831.556313, lowerbound=1217343.556313, norm of subgrad 1103.995270 dualbound = 3017831.556313, lowerbound=1217343.556313, norm of subgrad 39.697979 stepsize= 1.000000
+dualbound = 3017941.996335, lowerbound=1217272.996335, norm of subgrad 1103.935685 dualbound = 3017941.996335, lowerbound=1217272.996335, norm of subgrad 38.877243 stepsize= 1.000000
+dualbound = 3018074.770940, lowerbound=1219596.770940, norm of subgrad 1105.011209 dualbound = 3018074.770940, lowerbound=1219596.770940, norm of subgrad 39.821786 stepsize= 1.000000
+dualbound = 3018200.587091, lowerbound=1217177.587091, norm of subgrad 1103.884318 dualbound = 3018200.587091, lowerbound=1217177.587091, norm of subgrad 38.843483 stepsize= 1.000000
+dualbound = 3018339.113264, lowerbound=1217693.113264, norm of subgrad 1104.101043 dualbound = 3018339.113264, lowerbound=1217693.113264, norm of subgrad 38.529549 stepsize= 1.000000
+dualbound = 3018466.315958, lowerbound=1216899.315958, norm of subgrad 1103.762799 dualbound = 3018466.315958, lowerbound=1216899.315958, norm of subgrad 38.989777 stepsize= 1.000000
+dualbound = 3018587.336992, lowerbound=1216746.336992, norm of subgrad 1103.679907 dualbound = 3018587.336992, lowerbound=1216746.336992, norm of subgrad 38.522994 stepsize= 1.000000
+dualbound = 3018712.773156, lowerbound=1218878.773156, norm of subgrad 1104.660931 dualbound = 3018712.773156, lowerbound=1218878.773156, norm of subgrad 39.018408 stepsize= 1.000000
+dualbound = 3018838.859231, lowerbound=1210234.859231, norm of subgrad 1100.742867 dualbound = 3018838.859231, lowerbound=1210234.859231, norm of subgrad 39.065152 stepsize= 1.000000
+dualbound = 3018939.756956, lowerbound=1215392.756956, norm of subgrad 1103.095534 dualbound = 3018939.756956, lowerbound=1215392.756956, norm of subgrad 39.088332 stepsize= 1.000000
+dualbound = 3019051.352133, lowerbound=1216587.352133, norm of subgrad 1103.603802 dualbound = 3019051.352133, lowerbound=1216587.352133, norm of subgrad 38.283093 stepsize= 1.000000
+dualbound = 3019200.293796, lowerbound=1213949.293796, norm of subgrad 1102.428816 dualbound = 3019200.293796, lowerbound=1213949.293796, norm of subgrad 39.356596 stepsize= 1.000000
+dualbound = 3019316.362809, lowerbound=1218950.362809, norm of subgrad 1104.682924 dualbound = 3019316.362809, lowerbound=1218950.362809, norm of subgrad 38.601412 stepsize= 1.000000
+dualbound = 3019444.831319, lowerbound=1219345.831319, norm of subgrad 1104.886343 dualbound = 3019444.831319, lowerbound=1219345.831319, norm of subgrad 39.452104 stepsize= 1.000000
+dualbound = 3019549.967762, lowerbound=1218775.967762, norm of subgrad 1104.604892 dualbound = 3019549.967762, lowerbound=1218775.967762, norm of subgrad 38.485535 stepsize= 1.000000
+dualbound = 3019692.734786, lowerbound=1217606.734786, norm of subgrad 1104.065548 dualbound = 3019692.734786, lowerbound=1217606.734786, norm of subgrad 38.688073 stepsize= 1.000000
+dualbound = 3019817.985416, lowerbound=1214921.985416, norm of subgrad 1102.859005 dualbound = 3019817.985416, lowerbound=1214921.985416, norm of subgrad 38.745976 stepsize= 1.000000
+dualbound = 3019951.114242, lowerbound=1215047.114242, norm of subgrad 1102.921173 dualbound = 3019951.114242, lowerbound=1215047.114242, norm of subgrad 39.001652 stepsize= 1.000000
+dualbound = 3020050.051216, lowerbound=1217513.051216, norm of subgrad 1104.036707 dualbound = 3020050.051216, lowerbound=1217513.051216, norm of subgrad 38.508921 stepsize= 1.000000
+dualbound = 3020188.842703, lowerbound=1217222.842703, norm of subgrad 1103.931086 dualbound = 3020188.842703, lowerbound=1217222.842703, norm of subgrad 39.746591 stepsize= 1.000000
+dualbound = 3020290.389155, lowerbound=1215713.389155, norm of subgrad 1103.226354 dualbound = 3020290.389155, lowerbound=1215713.389155, norm of subgrad 38.685223 stepsize= 1.000000
+dualbound = 3020437.695082, lowerbound=1214439.695082, norm of subgrad 1102.644864 dualbound = 3020437.695082, lowerbound=1214439.695082, norm of subgrad 39.157450 stepsize= 1.000000
+dualbound = 3020545.611516, lowerbound=1216754.611516, norm of subgrad 1103.706307 dualbound = 3020545.611516, lowerbound=1216754.611516, norm of subgrad 38.998929 stepsize= 1.000000
+dualbound = 3020695.600535, lowerbound=1217191.600535, norm of subgrad 1103.873000 dualbound = 3020695.600535, lowerbound=1217191.600535, norm of subgrad 38.652154 stepsize= 1.000000
+dualbound = 3020834.327827, lowerbound=1220552.327827, norm of subgrad 1105.404147 dualbound = 3020834.327827, lowerbound=1220552.327827, norm of subgrad 38.790815 stepsize= 1.000000
+dualbound = 3020931.700433, lowerbound=1215462.700433, norm of subgrad 1103.123611 dualbound = 3020931.700433, lowerbound=1215462.700433, norm of subgrad 38.940629 stepsize= 1.000000
+dualbound = 3021055.526629, lowerbound=1220437.526629, norm of subgrad 1105.342267 dualbound = 3021055.526629, lowerbound=1220437.526629, norm of subgrad 38.312220 stepsize= 1.000000
+dualbound = 3021202.870611, lowerbound=1216727.870611, norm of subgrad 1103.689209 dualbound = 3021202.870611, lowerbound=1216727.870611, norm of subgrad 39.361707 stepsize= 1.000000
+dualbound = 3021303.072857, lowerbound=1215763.072857, norm of subgrad 1103.252497 dualbound = 3021303.072857, lowerbound=1215763.072857, norm of subgrad 38.771152 stepsize= 1.000000
+dualbound = 3021441.518092, lowerbound=1217429.518092, norm of subgrad 1103.971249 dualbound = 3021441.518092, lowerbound=1217429.518092, norm of subgrad 38.228853 stepsize= 1.000000
+dualbound = 3021574.770849, lowerbound=1215818.770849, norm of subgrad 1103.260065 dualbound = 3021574.770849, lowerbound=1215818.770849, norm of subgrad 38.694350 stepsize= 1.000000
+dualbound = 3021681.554552, lowerbound=1216447.554552, norm of subgrad 1103.543182 dualbound = 3021681.554552, lowerbound=1216447.554552, norm of subgrad 38.298612 stepsize= 1.000000
+dualbound = 3021805.873487, lowerbound=1214735.873487, norm of subgrad 1102.770091 dualbound = 3021805.873487, lowerbound=1214735.873487, norm of subgrad 38.604649 stepsize= 1.000000
+dualbound = 3021915.205484, lowerbound=1220138.205484, norm of subgrad 1105.235362 dualbound = 3021915.205484, lowerbound=1220138.205484, norm of subgrad 38.940108 stepsize= 1.000000
+dualbound = 3022053.560307, lowerbound=1218693.560307, norm of subgrad 1104.557178 dualbound = 3022053.560307, lowerbound=1218693.560307, norm of subgrad 38.618063 stepsize= 1.000000
+dualbound = 3022173.491239, lowerbound=1217232.491239, norm of subgrad 1103.902845 dualbound = 3022173.491239, lowerbound=1217232.491239, norm of subgrad 38.586668 stepsize= 1.000000
+dualbound = 3022295.142438, lowerbound=1216836.142438, norm of subgrad 1103.725121 dualbound = 3022295.142438, lowerbound=1216836.142438, norm of subgrad 38.660719 stepsize= 1.000000
+dualbound = 3022415.536240, lowerbound=1215625.536240, norm of subgrad 1103.212825 dualbound = 3022415.536240, lowerbound=1215625.536240, norm of subgrad 39.666028 stepsize= 1.000000
+dualbound = 3022533.772498, lowerbound=1218391.772498, norm of subgrad 1104.458135 dualbound = 3022533.772498, lowerbound=1218391.772498, norm of subgrad 39.423803 stepsize= 1.000000
+dualbound = 3022670.200642, lowerbound=1213307.200642, norm of subgrad 1102.140282 dualbound = 3022670.200642, lowerbound=1213307.200642, norm of subgrad 39.273759 stepsize= 1.000000
+dualbound = 3022787.860166, lowerbound=1220723.860166, norm of subgrad 1105.490326 dualbound = 3022787.860166, lowerbound=1220723.860166, norm of subgrad 38.764153 stepsize= 1.000000
+dualbound = 3022913.144018, lowerbound=1213193.144018, norm of subgrad 1102.068575 dualbound = 3022913.144018, lowerbound=1213193.144018, norm of subgrad 38.565319 stepsize= 1.000000
+dualbound = 3023040.990542, lowerbound=1221005.990542, norm of subgrad 1105.606617 dualbound = 3023040.990542, lowerbound=1221005.990542, norm of subgrad 38.572614 stepsize= 1.000000
+dualbound = 3023199.663074, lowerbound=1214791.663074, norm of subgrad 1102.804454 dualbound = 3023199.663074, lowerbound=1214791.663074, norm of subgrad 39.302322 stepsize= 1.000000
+dualbound = 3023274.350259, lowerbound=1219908.350259, norm of subgrad 1105.134992 dualbound = 3023274.350259, lowerbound=1219908.350259, norm of subgrad 38.596466 stepsize= 1.000000
+dualbound = 3023421.055866, lowerbound=1217886.055866, norm of subgrad 1104.194302 dualbound = 3023421.055866, lowerbound=1217886.055866, norm of subgrad 38.803423 stepsize= 1.000000
+dualbound = 3023544.705082, lowerbound=1213687.705082, norm of subgrad 1102.282498 dualbound = 3023544.705082, lowerbound=1213687.705082, norm of subgrad 38.244597 stepsize= 1.000000
+dualbound = 3023672.328055, lowerbound=1216328.328055, norm of subgrad 1103.508644 dualbound = 3023672.328055, lowerbound=1216328.328055, norm of subgrad 39.123177 stepsize= 1.000000
+dualbound = 3023759.799539, lowerbound=1214624.799539, norm of subgrad 1102.745120 dualbound = 3023759.799539, lowerbound=1214624.799539, norm of subgrad 38.851917 stepsize= 1.000000
+dualbound = 3023906.992108, lowerbound=1217043.992108, norm of subgrad 1103.804327 dualbound = 3023906.992108, lowerbound=1217043.992108, norm of subgrad 38.564136 stepsize= 1.000000
+dualbound = 3024027.954746, lowerbound=1221029.954746, norm of subgrad 1105.586702 dualbound = 3024027.954746, lowerbound=1221029.954746, norm of subgrad 37.589395 stepsize= 1.000000
+dualbound = 3024178.793288, lowerbound=1215660.793288, norm of subgrad 1103.182575 dualbound = 3024178.793288, lowerbound=1215660.793288, norm of subgrad 38.753562 stepsize= 1.000000
+dualbound = 3024275.847704, lowerbound=1222440.847704, norm of subgrad 1106.249451 dualbound = 3024275.847704, lowerbound=1222440.847704, norm of subgrad 38.000716 stepsize= 1.000000
+dualbound = 3024374.998891, lowerbound=1221422.998891, norm of subgrad 1105.828648 dualbound = 3024374.998891, lowerbound=1221422.998891, norm of subgrad 39.155475 stepsize= 1.000000
+dualbound = 3024507.412772, lowerbound=1215101.412772, norm of subgrad 1102.941709 dualbound = 3024507.412772, lowerbound=1215101.412772, norm of subgrad 38.876907 stepsize= 1.000000
+dualbound = 3024656.750496, lowerbound=1216433.750496, norm of subgrad 1103.536928 dualbound = 3024656.750496, lowerbound=1216433.750496, norm of subgrad 38.850196 stepsize= 1.000000
+dualbound = 3024758.955750, lowerbound=1218337.955750, norm of subgrad 1104.423359 dualbound = 3024758.955750, lowerbound=1218337.955750, norm of subgrad 38.925637 stepsize= 1.000000
+dualbound = 3024891.907952, lowerbound=1215318.907952, norm of subgrad 1103.052994 dualbound = 3024891.907952, lowerbound=1215318.907952, norm of subgrad 39.242225 stepsize= 1.000000
+dualbound = 3025024.575100, lowerbound=1218251.575100, norm of subgrad 1104.369311 dualbound = 3025024.575100, lowerbound=1218251.575100, norm of subgrad 38.893022 stepsize= 1.000000
+dualbound = 3025135.291320, lowerbound=1220892.291320, norm of subgrad 1105.583236 dualbound = 3025135.291320, lowerbound=1220892.291320, norm of subgrad 39.149920 stepsize= 1.000000
+dualbound = 3025242.559903, lowerbound=1220230.559903, norm of subgrad 1105.245927 dualbound = 3025242.559903, lowerbound=1220230.559903, norm of subgrad 38.016688 stepsize= 1.000000
+dualbound = 3025394.309813, lowerbound=1220129.309813, norm of subgrad 1105.196955 dualbound = 3025394.309813, lowerbound=1220129.309813, norm of subgrad 38.506492 stepsize= 1.000000
+dualbound = 3025525.771526, lowerbound=1214980.771526, norm of subgrad 1102.862082 dualbound = 3025525.771526, lowerbound=1214980.771526, norm of subgrad 38.150514 stepsize= 1.000000
+dualbound = 3025626.590953, lowerbound=1224182.590953, norm of subgrad 1107.043175 dualbound = 3025626.590953, lowerbound=1224182.590953, norm of subgrad 38.246822 stepsize= 1.000000
+dualbound = 3025760.710168, lowerbound=1212372.710168, norm of subgrad 1101.683580 dualbound = 3025760.710168, lowerbound=1212372.710168, norm of subgrad 38.316044 stepsize= 1.000000
+dualbound = 3025898.371668, lowerbound=1222087.371668, norm of subgrad 1106.085156 dualbound = 3025898.371668, lowerbound=1222087.371668, norm of subgrad 38.401322 stepsize= 1.000000
+dualbound = 3026003.057476, lowerbound=1212367.057476, norm of subgrad 1101.679199 dualbound = 3026003.057476, lowerbound=1212367.057476, norm of subgrad 37.877247 stepsize= 1.000000
+dualbound = 3026133.421124, lowerbound=1218817.421124, norm of subgrad 1104.627277 dualbound = 3026133.421124, lowerbound=1218817.421124, norm of subgrad 38.914826 stepsize= 1.000000
+dualbound = 3026214.253592, lowerbound=1215060.253592, norm of subgrad 1102.926676 dualbound = 3026214.253592, lowerbound=1215060.253592, norm of subgrad 38.312302 stepsize= 1.000000
+dualbound = 3026370.022046, lowerbound=1221864.022046, norm of subgrad 1106.003627 dualbound = 3026370.022046, lowerbound=1221864.022046, norm of subgrad 39.188882 stepsize= 1.000000
+dualbound = 3026461.897403, lowerbound=1216756.897403, norm of subgrad 1103.708248 dualbound = 3026461.897403, lowerbound=1216756.897403, norm of subgrad 38.818492 stepsize= 1.000000
+dualbound = 3026593.885911, lowerbound=1219821.885911, norm of subgrad 1105.084108 dualbound = 3026593.885911, lowerbound=1219821.885911, norm of subgrad 38.999853 stepsize= 1.000000
+dualbound = 3026722.248203, lowerbound=1215620.248203, norm of subgrad 1103.161479 dualbound = 3026722.248203, lowerbound=1215620.248203, norm of subgrad 38.384402 stepsize= 1.000000
+dualbound = 3026869.841891, lowerbound=1216713.841891, norm of subgrad 1103.685572 dualbound = 3026869.841891, lowerbound=1216713.841891, norm of subgrad 39.441015 stepsize= 1.000000
+dualbound = 3026940.742372, lowerbound=1217884.742372, norm of subgrad 1104.215442 dualbound = 3026940.742372, lowerbound=1217884.742372, norm of subgrad 38.443471 stepsize= 1.000000
+dualbound = 3027094.281032, lowerbound=1215598.281032, norm of subgrad 1103.165573 dualbound = 3027094.281032, lowerbound=1215598.281032, norm of subgrad 39.109317 stepsize= 1.000000
+dualbound = 3027210.039465, lowerbound=1221903.039465, norm of subgrad 1106.030307 dualbound = 3027210.039465, lowerbound=1221903.039465, norm of subgrad 38.932742 stepsize= 1.000000
+dualbound = 3027320.605753, lowerbound=1216358.605753, norm of subgrad 1103.532784 dualbound = 3027320.605753, lowerbound=1216358.605753, norm of subgrad 39.199060 stepsize= 1.000000
+dualbound = 3027437.547468, lowerbound=1218832.547468, norm of subgrad 1104.666713 dualbound = 3027437.547468, lowerbound=1218832.547468, norm of subgrad 39.660329 stepsize= 1.000000
+dualbound = 3027558.676332, lowerbound=1211342.676332, norm of subgrad 1101.272753 dualbound = 3027558.676332, lowerbound=1211342.676332, norm of subgrad 39.750835 stepsize= 1.000000
+dualbound = 3027667.484945, lowerbound=1221529.484945, norm of subgrad 1105.886741 dualbound = 3027667.484945, lowerbound=1221529.484945, norm of subgrad 39.557662 stepsize= 1.000000
+dualbound = 3027814.064985, lowerbound=1213451.064985, norm of subgrad 1102.217794 dualbound = 3027814.064985, lowerbound=1213451.064985, norm of subgrad 39.743931 stepsize= 1.000000
+dualbound = 3027935.339999, lowerbound=1221858.339999, norm of subgrad 1106.014168 dualbound = 3027935.339999, lowerbound=1221858.339999, norm of subgrad 39.118730 stepsize= 1.000000
+dualbound = 3028083.315474, lowerbound=1217020.315474, norm of subgrad 1103.817157 dualbound = 3028083.315474, lowerbound=1217020.315474, norm of subgrad 39.242521 stepsize= 1.000000
+dualbound = 3028194.399912, lowerbound=1219764.399912, norm of subgrad 1105.048596 dualbound = 3028194.399912, lowerbound=1219764.399912, norm of subgrad 38.458867 stepsize= 1.000000
+dualbound = 3028336.244608, lowerbound=1215248.244608, norm of subgrad 1102.980618 dualbound = 3028336.244608, lowerbound=1215248.244608, norm of subgrad 38.207914 stepsize= 1.000000
+dualbound = 3028461.996427, lowerbound=1218278.996427, norm of subgrad 1104.383084 dualbound = 3028461.996427, lowerbound=1218278.996427, norm of subgrad 38.842655 stepsize= 1.000000
+dualbound = 3028559.365782, lowerbound=1217801.365782, norm of subgrad 1104.149612 dualbound = 3028559.365782, lowerbound=1217801.365782, norm of subgrad 37.978538 stepsize= 1.000000
+dualbound = 3028676.840025, lowerbound=1215618.840025, norm of subgrad 1103.187128 dualbound = 3028676.840025, lowerbound=1215618.840025, norm of subgrad 38.993259 stepsize= 1.000000
+dualbound = 3028807.020190, lowerbound=1221404.020190, norm of subgrad 1105.796555 dualbound = 3028807.020190, lowerbound=1221404.020190, norm of subgrad 38.886761 stepsize= 1.000000
+dualbound = 3028910.292072, lowerbound=1219757.292072, norm of subgrad 1105.033163 dualbound = 3028910.292072, lowerbound=1219757.292072, norm of subgrad 38.003577 stepsize= 1.000000
+dualbound = 3029050.429162, lowerbound=1218978.429162, norm of subgrad 1104.712374 dualbound = 3029050.429162, lowerbound=1218978.429162, norm of subgrad 39.384478 stepsize= 1.000000
+dualbound = 3029138.933385, lowerbound=1221501.933385, norm of subgrad 1105.848061 dualbound = 3029138.933385, lowerbound=1221501.933385, norm of subgrad 38.555210 stepsize= 1.000000
+dualbound = 3029297.975561, lowerbound=1212762.975561, norm of subgrad 1101.921946 dualbound = 3029297.975561, lowerbound=1212762.975561, norm of subgrad 40.349005 stepsize= 1.000000
+dualbound = 3029404.774916, lowerbound=1222574.774916, norm of subgrad 1106.323540 dualbound = 3029404.774916, lowerbound=1222574.774916, norm of subgrad 38.520116 stepsize= 1.000000
+dualbound = 3029544.816096, lowerbound=1215956.816096, norm of subgrad 1103.332142 dualbound = 3029544.816096, lowerbound=1215956.816096, norm of subgrad 39.051776 stepsize= 1.000000
+dualbound = 3029658.335251, lowerbound=1220475.335251, norm of subgrad 1105.388771 dualbound = 3029658.335251, lowerbound=1220475.335251, norm of subgrad 39.019471 stepsize= 1.000000
+dualbound = 3029797.934153, lowerbound=1215172.934153, norm of subgrad 1102.952825 dualbound = 3029797.934153, lowerbound=1215172.934153, norm of subgrad 38.361425 stepsize= 1.000000
+dualbound = 3029922.418906, lowerbound=1215701.418906, norm of subgrad 1103.239058 dualbound = 3029922.418906, lowerbound=1215701.418906, norm of subgrad 39.490312 stepsize= 1.000000
+dualbound = 3030014.541492, lowerbound=1218659.541492, norm of subgrad 1104.566676 dualbound = 3030014.541492, lowerbound=1218659.541492, norm of subgrad 38.731416 stepsize= 1.000000
+dualbound = 3030136.747008, lowerbound=1214978.747008, norm of subgrad 1102.887006 dualbound = 3030136.747008, lowerbound=1214978.747008, norm of subgrad 38.771194 stepsize= 1.000000
+dualbound = 3030295.291893, lowerbound=1219513.291893, norm of subgrad 1104.922754 dualbound = 3030295.291893, lowerbound=1219513.291893, norm of subgrad 38.723958 stepsize= 1.000000
+dualbound = 3030402.915085, lowerbound=1215849.915085, norm of subgrad 1103.278711 dualbound = 3030402.915085, lowerbound=1215849.915085, norm of subgrad 38.491859 stepsize= 1.000000
+dualbound = 3030513.731764, lowerbound=1220628.731764, norm of subgrad 1105.458607 dualbound = 3030513.731764, lowerbound=1220628.731764, norm of subgrad 38.997650 stepsize= 1.000000
+dualbound = 3030618.999333, lowerbound=1216438.999333, norm of subgrad 1103.571928 dualbound = 3030618.999333, lowerbound=1216438.999333, norm of subgrad 39.208004 stepsize= 1.000000
+dualbound = 3030759.639910, lowerbound=1220282.639910, norm of subgrad 1105.283059 dualbound = 3030759.639910, lowerbound=1220282.639910, norm of subgrad 38.841223 stepsize= 1.000000
+dualbound = 3030881.402387, lowerbound=1219738.402387, norm of subgrad 1105.067601 dualbound = 3030881.402387, lowerbound=1219738.402387, norm of subgrad 39.468500 stepsize= 1.000000
+dualbound = 3030983.941171, lowerbound=1220610.941171, norm of subgrad 1105.430659 dualbound = 3030983.941171, lowerbound=1220610.941171, norm of subgrad 38.321519 stepsize= 1.000000
+dualbound = 3031158.534355, lowerbound=1217147.534355, norm of subgrad 1103.845340 dualbound = 3031158.534355, lowerbound=1217147.534355, norm of subgrad 38.750396 stepsize= 1.000000
+dualbound = 3031256.815587, lowerbound=1221249.815587, norm of subgrad 1105.701956 dualbound = 3031256.815587, lowerbound=1221249.815587, norm of subgrad 37.752897 stepsize= 1.000000
+dualbound = 3031395.044540, lowerbound=1216408.044540, norm of subgrad 1103.507157 dualbound = 3031395.044540, lowerbound=1216408.044540, norm of subgrad 38.186764 stepsize= 1.000000
+dualbound = 3031511.358339, lowerbound=1219708.358339, norm of subgrad 1105.006497 dualbound = 3031511.358339, lowerbound=1219708.358339, norm of subgrad 38.043578 stepsize= 1.000000
+dualbound = 3031624.543848, lowerbound=1218827.543848, norm of subgrad 1104.629596 dualbound = 3031624.543848, lowerbound=1218827.543848, norm of subgrad 38.628817 stepsize= 1.000000
+dualbound = 3031705.105994, lowerbound=1217466.105994, norm of subgrad 1104.041714 dualbound = 3031705.105994, lowerbound=1217466.105994, norm of subgrad 39.020022 stepsize= 1.000000
+dualbound = 3031821.471707, lowerbound=1223126.471707, norm of subgrad 1106.565620 dualbound = 3031821.471707, lowerbound=1223126.471707, norm of subgrad 38.436515 stepsize= 1.000000
+dualbound = 3031995.079893, lowerbound=1215944.079893, norm of subgrad 1103.306431 dualbound = 3031995.079893, lowerbound=1215944.079893, norm of subgrad 38.917967 stepsize= 1.000000
+dualbound = 3032100.639663, lowerbound=1220807.639663, norm of subgrad 1105.512388 dualbound = 3032100.639663, lowerbound=1220807.639663, norm of subgrad 38.151799 stepsize= 1.000000
+dualbound = 3032234.332525, lowerbound=1219603.332525, norm of subgrad 1105.021417 dualbound = 3032234.332525, lowerbound=1219603.332525, norm of subgrad 40.033647 stepsize= 1.000000
+dualbound = 3032299.821191, lowerbound=1215581.821191, norm of subgrad 1103.184400 dualbound = 3032299.821191, lowerbound=1215581.821191, norm of subgrad 38.723232 stepsize= 1.000000
+dualbound = 3032466.880888, lowerbound=1220407.880888, norm of subgrad 1105.326142 dualbound = 3032466.880888, lowerbound=1220407.880888, norm of subgrad 38.795099 stepsize= 1.000000
+dualbound = 3032586.367442, lowerbound=1215830.367442, norm of subgrad 1103.278916 dualbound = 3032586.367442, lowerbound=1215830.367442, norm of subgrad 38.903555 stepsize= 1.000000
+dualbound = 3032701.167848, lowerbound=1223981.167848, norm of subgrad 1106.968910 dualbound = 3032701.167848, lowerbound=1223981.167848, norm of subgrad 38.907588 stepsize= 1.000000
+dualbound = 3032825.563566, lowerbound=1217118.563566, norm of subgrad 1103.880231 dualbound = 3032825.563566, lowerbound=1217118.563566, norm of subgrad 39.463853 stepsize= 1.000000
+dualbound = 3032939.041128, lowerbound=1218787.041128, norm of subgrad 1104.610810 dualbound = 3032939.041128, lowerbound=1218787.041128, norm of subgrad 38.619653 stepsize= 1.000000
+dualbound = 3033085.691262, lowerbound=1216085.691262, norm of subgrad 1103.368792 dualbound = 3033085.691262, lowerbound=1216085.691262, norm of subgrad 38.518179 stepsize= 1.000000
+dualbound = 3033190.223935, lowerbound=1223603.223935, norm of subgrad 1106.790054 dualbound = 3033190.223935, lowerbound=1223603.223935, norm of subgrad 38.542609 stepsize= 1.000000
+dualbound = 3033343.378980, lowerbound=1212899.378980, norm of subgrad 1101.927121 dualbound = 3033343.378980, lowerbound=1212899.378980, norm of subgrad 38.693088 stepsize= 1.000000
+dualbound = 3033464.042803, lowerbound=1217843.042803, norm of subgrad 1104.180711 dualbound = 3033464.042803, lowerbound=1217843.042803, norm of subgrad 38.635008 stepsize= 1.000000
+dualbound = 3033570.266883, lowerbound=1214911.266883, norm of subgrad 1102.849159 dualbound = 3033570.266883, lowerbound=1214911.266883, norm of subgrad 38.356539 stepsize= 1.000000
+dualbound = 3033698.182081, lowerbound=1216686.182081, norm of subgrad 1103.679837 dualbound = 3033698.182081, lowerbound=1216686.182081, norm of subgrad 39.381661 stepsize= 1.000000
+dualbound = 3033796.662970, lowerbound=1221785.662970, norm of subgrad 1105.975887 dualbound = 3033796.662970, lowerbound=1221785.662970, norm of subgrad 38.671448 stepsize= 1.000000
+dualbound = 3033958.987549, lowerbound=1216877.987549, norm of subgrad 1103.743171 dualbound = 3033958.987549, lowerbound=1216877.987549, norm of subgrad 39.157689 stepsize= 1.000000
+dualbound = 3034047.094204, lowerbound=1217671.094204, norm of subgrad 1104.119149 dualbound = 3034047.094204, lowerbound=1217671.094204, norm of subgrad 38.679538 stepsize= 1.000000
+dualbound = 3034177.143612, lowerbound=1223061.143612, norm of subgrad 1106.558694 dualbound = 3034177.143612, lowerbound=1223061.143612, norm of subgrad 39.256202 stepsize= 1.000000
+dualbound = 3034288.007979, lowerbound=1216306.007979, norm of subgrad 1103.487656 dualbound = 3034288.007979, lowerbound=1216306.007979, norm of subgrad 38.598761 stepsize= 1.000000
+dualbound = 3034406.973045, lowerbound=1221730.973045, norm of subgrad 1105.972411 dualbound = 3034406.973045, lowerbound=1221730.973045, norm of subgrad 39.534353 stepsize= 1.000000
+dualbound = 3034533.531871, lowerbound=1216431.531871, norm of subgrad 1103.526407 dualbound = 3034533.531871, lowerbound=1216431.531871, norm of subgrad 38.282618 stepsize= 1.000000
+dualbound = 3034707.763897, lowerbound=1218972.763897, norm of subgrad 1104.670885 dualbound = 3034707.763897, lowerbound=1218972.763897, norm of subgrad 38.719918 stepsize= 1.000000
+dualbound = 3034799.052281, lowerbound=1217558.052281, norm of subgrad 1104.027197 dualbound = 3034799.052281, lowerbound=1217558.052281, norm of subgrad 37.540490 stepsize= 1.000000
+dualbound = 3034948.649941, lowerbound=1221709.649941, norm of subgrad 1105.917560 dualbound = 3034948.649941, lowerbound=1221709.649941, norm of subgrad 38.647091 stepsize= 1.000000
+dualbound = 3035008.053642, lowerbound=1213545.053642, norm of subgrad 1102.279481 dualbound = 3035008.053642, lowerbound=1213545.053642, norm of subgrad 39.171465 stepsize= 1.000000
+dualbound = 3035139.970638, lowerbound=1221419.970638, norm of subgrad 1105.847625 dualbound = 3035139.970638, lowerbound=1221419.970638, norm of subgrad 40.136230 stepsize= 1.000000
+dualbound = 3035238.006850, lowerbound=1221708.006850, norm of subgrad 1105.952082 dualbound = 3035238.006850, lowerbound=1221708.006850, norm of subgrad 38.987642 stepsize= 1.000000
+dualbound = 3035401.734847, lowerbound=1220101.734847, norm of subgrad 1105.198957 dualbound = 3035401.734847, lowerbound=1220101.734847, norm of subgrad 39.073367 stepsize= 1.000000
+dualbound = 3035517.404516, lowerbound=1214750.404516, norm of subgrad 1102.777586 dualbound = 3035517.404516, lowerbound=1214750.404516, norm of subgrad 38.518433 stepsize= 1.000000
+dualbound = 3035668.444525, lowerbound=1222526.444525, norm of subgrad 1106.277743 dualbound = 3035668.444525, lowerbound=1222526.444525, norm of subgrad 38.406250 stepsize= 1.000000
+dualbound = 3035779.837013, lowerbound=1215688.837013, norm of subgrad 1103.193472 dualbound = 3035779.837013, lowerbound=1215688.837013, norm of subgrad 38.188905 stepsize= 1.000000
+dualbound = 3035886.194338, lowerbound=1218167.194338, norm of subgrad 1104.354651 dualbound = 3035886.194338, lowerbound=1218167.194338, norm of subgrad 39.221899 stepsize= 1.000000
+dualbound = 3036006.424080, lowerbound=1218640.424080, norm of subgrad 1104.531314 dualbound = 3036006.424080, lowerbound=1218640.424080, norm of subgrad 38.330533 stepsize= 1.000000
+dualbound = 3036137.468778, lowerbound=1222204.468778, norm of subgrad 1106.161141 dualbound = 3036137.468778, lowerbound=1222204.468778, norm of subgrad 38.974924 stepsize= 1.000000
+dualbound = 3036254.876704, lowerbound=1216939.876704, norm of subgrad 1103.766677 dualbound = 3036254.876704, lowerbound=1216939.876704, norm of subgrad 38.450071 stepsize= 1.000000
+dualbound = 3036377.373528, lowerbound=1220564.373528, norm of subgrad 1105.457540 dualbound = 3036377.373528, lowerbound=1220564.373528, norm of subgrad 39.931151 stepsize= 1.000000
+dualbound = 3036483.415430, lowerbound=1220931.415430, norm of subgrad 1105.594598 dualbound = 3036483.415430, lowerbound=1220931.415430, norm of subgrad 38.910691 stepsize= 1.000000
+dualbound = 3036612.975264, lowerbound=1217714.975264, norm of subgrad 1104.148982 dualbound = 3036612.975264, lowerbound=1217714.975264, norm of subgrad 39.491263 stepsize= 1.000000
+dualbound = 3036726.861797, lowerbound=1217379.861797, norm of subgrad 1103.999937 dualbound = 3036726.861797, lowerbound=1217379.861797, norm of subgrad 39.368598 stepsize= 1.000000
+dualbound = 3036863.230396, lowerbound=1215840.230396, norm of subgrad 1103.277948 dualbound = 3036863.230396, lowerbound=1215840.230396, norm of subgrad 38.966249 stepsize= 1.000000
+dualbound = 3036997.001669, lowerbound=1218458.001669, norm of subgrad 1104.457786 dualbound = 3036997.001669, lowerbound=1218458.001669, norm of subgrad 38.765594 stepsize= 1.000000
+dualbound = 3037111.460789, lowerbound=1223593.460789, norm of subgrad 1106.795582 dualbound = 3037111.460789, lowerbound=1223593.460789, norm of subgrad 38.954578 stepsize= 1.000000
+dualbound = 3037230.716104, lowerbound=1217520.716104, norm of subgrad 1104.033385 dualbound = 3037230.716104, lowerbound=1217520.716104, norm of subgrad 38.577912 stepsize= 1.000000
+dualbound = 3037378.023778, lowerbound=1219287.023778, norm of subgrad 1104.839818 dualbound = 3037378.023778, lowerbound=1219287.023778, norm of subgrad 39.131927 stepsize= 1.000000
+dualbound = 3037460.467225, lowerbound=1215897.467225, norm of subgrad 1103.322467 dualbound = 3037460.467225, lowerbound=1215897.467225, norm of subgrad 38.800044 stepsize= 1.000000
+dualbound = 3037591.153143, lowerbound=1219942.153143, norm of subgrad 1105.157072 dualbound = 3037591.153143, lowerbound=1219942.153143, norm of subgrad 39.505518 stepsize= 1.000000
+dualbound = 3037699.919561, lowerbound=1224198.919561, norm of subgrad 1107.079003 dualbound = 3037699.919561, lowerbound=1224198.919561, norm of subgrad 39.163330 stepsize= 1.000000
+dualbound = 3037839.486480, lowerbound=1220190.486480, norm of subgrad 1105.237299 dualbound = 3037839.486480, lowerbound=1220190.486480, norm of subgrad 38.711328 stepsize= 1.000000
+dualbound = 3037975.209756, lowerbound=1216259.209756, norm of subgrad 1103.451045 dualbound = 3037975.209756, lowerbound=1216259.209756, norm of subgrad 38.480167 stepsize= 1.000000
+dualbound = 3038090.975479, lowerbound=1217598.975479, norm of subgrad 1104.049807 dualbound = 3038090.975479, lowerbound=1217598.975479, norm of subgrad 37.983756 stepsize= 1.000000
+dualbound = 3038219.955125, lowerbound=1215682.955125, norm of subgrad 1103.183101 dualbound = 3038219.955125, lowerbound=1215682.955125, norm of subgrad 38.196592 stepsize= 1.000000
+dualbound = 3038358.627000, lowerbound=1222413.627000, norm of subgrad 1106.218616 dualbound = 3038358.627000, lowerbound=1222413.627000, norm of subgrad 38.008839 stepsize= 1.000000
+dualbound = 3038477.771503, lowerbound=1215444.771503, norm of subgrad 1103.099167 dualbound = 3038477.771503, lowerbound=1215444.771503, norm of subgrad 38.757509 stepsize= 1.000000
+dualbound = 3038563.246090, lowerbound=1222730.246090, norm of subgrad 1106.396514 dualbound = 3038563.246090, lowerbound=1222730.246090, norm of subgrad 38.320681 stepsize= 1.000000
+dualbound = 3038700.441153, lowerbound=1219413.441153, norm of subgrad 1104.902910 dualbound = 3038700.441153, lowerbound=1219413.441153, norm of subgrad 39.168802 stepsize= 1.000000
+dualbound = 3038829.711155, lowerbound=1223281.711155, norm of subgrad 1106.659709 dualbound = 3038829.711155, lowerbound=1223281.711155, norm of subgrad 39.284475 stepsize= 1.000000
+dualbound = 3038937.366410, lowerbound=1216199.366410, norm of subgrad 1103.423022 dualbound = 3038937.366410, lowerbound=1216199.366410, norm of subgrad 38.087468 stepsize= 1.000000
+dualbound = 3039081.041210, lowerbound=1220522.041210, norm of subgrad 1105.384115 dualbound = 3039081.041210, lowerbound=1220522.041210, norm of subgrad 38.673955 stepsize= 1.000000
+dualbound = 3039170.696778, lowerbound=1216848.696778, norm of subgrad 1103.756629 dualbound = 3039170.696778, lowerbound=1216848.696778, norm of subgrad 38.982760 stepsize= 1.000000
+dualbound = 3039318.362101, lowerbound=1220819.362101, norm of subgrad 1105.528544 dualbound = 3039318.362101, lowerbound=1220819.362101, norm of subgrad 39.008529 stepsize= 1.000000
+dualbound = 3039424.659487, lowerbound=1216824.659487, norm of subgrad 1103.722184 dualbound = 3039424.659487, lowerbound=1216824.659487, norm of subgrad 38.526580 stepsize= 1.000000
+dualbound = 3039569.559277, lowerbound=1220591.559277, norm of subgrad 1105.446317 dualbound = 3039569.559277, lowerbound=1220591.559277, norm of subgrad 39.558814 stepsize= 1.000000
+dualbound = 3039652.819595, lowerbound=1218532.819595, norm of subgrad 1104.530588 dualbound = 3039652.819595, lowerbound=1218532.819595, norm of subgrad 39.220662 stepsize= 1.000000
+dualbound = 3039777.778231, lowerbound=1216771.778231, norm of subgrad 1103.702758 dualbound = 3039777.778231, lowerbound=1216771.778231, norm of subgrad 38.896769 stepsize= 1.000000
+dualbound = 3039921.754644, lowerbound=1222275.754644, norm of subgrad 1106.177542 dualbound = 3039921.754644, lowerbound=1222275.754644, norm of subgrad 38.690779 stepsize= 1.000000
+dualbound = 3040045.753369, lowerbound=1223614.753369, norm of subgrad 1106.828240 dualbound = 3040045.753369, lowerbound=1223614.753369, norm of subgrad 39.724032 stepsize= 1.000000
+dualbound = 3040116.176757, lowerbound=1217941.176757, norm of subgrad 1104.249599 dualbound = 3040116.176757, lowerbound=1217941.176757, norm of subgrad 38.683632 stepsize= 1.000000
+dualbound = 3040300.400021, lowerbound=1220158.400021, norm of subgrad 1105.243593 dualbound = 3040300.400021, lowerbound=1220158.400021, norm of subgrad 39.865063 stepsize= 1.000000
+dualbound = 3040418.195229, lowerbound=1218833.195229, norm of subgrad 1104.638038 dualbound = 3040418.195229, lowerbound=1218833.195229, norm of subgrad 38.856083 stepsize= 1.000000
+dualbound = 3040516.239329, lowerbound=1222462.239329, norm of subgrad 1106.297085 dualbound = 3040516.239329, lowerbound=1222462.239329, norm of subgrad 39.102993 stepsize= 1.000000
+dualbound = 3040645.836476, lowerbound=1216360.836476, norm of subgrad 1103.511593 dualbound = 3040645.836476, lowerbound=1216360.836476, norm of subgrad 38.814909 stepsize= 1.000000
+dualbound = 3040795.270226, lowerbound=1218836.270226, norm of subgrad 1104.619061 dualbound = 3040795.270226, lowerbound=1218836.270226, norm of subgrad 38.683766 stepsize= 1.000000
+dualbound = 3040877.810156, lowerbound=1218251.810156, norm of subgrad 1104.373039 dualbound = 3040877.810156, lowerbound=1218251.810156, norm of subgrad 38.347620 stepsize= 1.000000
+dualbound = 3041025.811413, lowerbound=1224449.811413, norm of subgrad 1107.183730 dualbound = 3041025.811413, lowerbound=1224449.811413, norm of subgrad 39.420823 stepsize= 1.000000
+dualbound = 3041107.023500, lowerbound=1217169.023500, norm of subgrad 1103.922109 dualbound = 3041107.023500, lowerbound=1217169.023500, norm of subgrad 39.448854 stepsize= 1.000000
+dualbound = 3041261.027314, lowerbound=1220478.027314, norm of subgrad 1105.377324 dualbound = 3041261.027314, lowerbound=1220478.027314, norm of subgrad 39.179125 stepsize= 1.000000
+dualbound = 3041388.779662, lowerbound=1215550.779662, norm of subgrad 1103.156281 dualbound = 3041388.779662, lowerbound=1215550.779662, norm of subgrad 39.124830 stepsize= 1.000000
+dualbound = 3041508.516054, lowerbound=1220673.516054, norm of subgrad 1105.457605 dualbound = 3041508.516054, lowerbound=1220673.516054, norm of subgrad 38.506316 stepsize= 1.000000
+dualbound = 3041637.600812, lowerbound=1216925.600812, norm of subgrad 1103.751603 dualbound = 3041637.600812, lowerbound=1216925.600812, norm of subgrad 38.354723 stepsize= 1.000000
+dualbound = 3041753.370578, lowerbound=1219034.370578, norm of subgrad 1104.724568 dualbound = 3041753.370578, lowerbound=1219034.370578, norm of subgrad 38.701031 stepsize= 1.000000
+dualbound = 3041859.449438, lowerbound=1216751.449438, norm of subgrad 1103.680411 dualbound = 3041859.449438, lowerbound=1216751.449438, norm of subgrad 38.276349 stepsize= 1.000000
+dualbound = 3042032.240458, lowerbound=1218502.240458, norm of subgrad 1104.452915 dualbound = 3042032.240458, lowerbound=1218502.240458, norm of subgrad 38.558929 stepsize= 1.000000
+dualbound = 3042109.315518, lowerbound=1222288.315518, norm of subgrad 1106.199040 dualbound = 3042109.315518, lowerbound=1222288.315518, norm of subgrad 38.276299 stepsize= 1.000000
+dualbound = 3042239.410317, lowerbound=1220006.410317, norm of subgrad 1105.174380 dualbound = 3042239.410317, lowerbound=1220006.410317, norm of subgrad 39.167522 stepsize= 1.000000
+dualbound = 3042332.327972, lowerbound=1214708.327972, norm of subgrad 1102.753974 dualbound = 3042332.327972, lowerbound=1214708.327972, norm of subgrad 38.090913 stepsize= 1.000000
+dualbound = 3042498.087088, lowerbound=1221933.087088, norm of subgrad 1106.041630 dualbound = 3042498.087088, lowerbound=1221933.087088, norm of subgrad 39.506444 stepsize= 1.000000
+dualbound = 3042572.840356, lowerbound=1218622.840356, norm of subgrad 1104.551420 dualbound = 3042572.840356, lowerbound=1218622.840356, norm of subgrad 38.545470 stepsize= 1.000000
+dualbound = 3042719.993767, lowerbound=1217993.993767, norm of subgrad 1104.254950 dualbound = 3042719.993767, lowerbound=1217993.993767, norm of subgrad 39.142731 stepsize= 1.000000
+dualbound = 3042836.992520, lowerbound=1220739.992520, norm of subgrad 1105.512547 dualbound = 3042836.992520, lowerbound=1220739.992520, norm of subgrad 39.179060 stepsize= 1.000000
+dualbound = 3042971.110263, lowerbound=1220972.110263, norm of subgrad 1105.589938 dualbound = 3042971.110263, lowerbound=1220972.110263, norm of subgrad 38.614994 stepsize= 1.000000
+dualbound = 3043110.329158, lowerbound=1215496.329158, norm of subgrad 1103.088541 dualbound = 3043110.329158, lowerbound=1215496.329158, norm of subgrad 38.042330 stepsize= 1.000000
+dualbound = 3043240.715638, lowerbound=1221534.715638, norm of subgrad 1105.879160 dualbound = 3043240.715638, lowerbound=1221534.715638, norm of subgrad 39.552326 stepsize= 1.000000
+dualbound = 3043311.223759, lowerbound=1215478.223759, norm of subgrad 1103.136539 dualbound = 3043311.223759, lowerbound=1215478.223759, norm of subgrad 38.762200 stepsize= 1.000000
+dualbound = 3043473.031757, lowerbound=1222248.031757, norm of subgrad 1106.181735 dualbound = 3043473.031757, lowerbound=1222248.031757, norm of subgrad 39.392994 stepsize= 1.000000
+dualbound = 3043567.102827, lowerbound=1217067.102827, norm of subgrad 1103.823855 dualbound = 3043567.102827, lowerbound=1217067.102827, norm of subgrad 38.132284 stepsize= 1.000000
+dualbound = 3043716.671993, lowerbound=1225581.671993, norm of subgrad 1107.696110 dualbound = 3043716.671993, lowerbound=1225581.671993, norm of subgrad 39.478718 stepsize= 1.000000
+dualbound = 3043813.373281, lowerbound=1215880.373281, norm of subgrad 1103.282545 dualbound = 3043813.373281, lowerbound=1215880.373281, norm of subgrad 38.061809 stepsize= 1.000000
+dualbound = 3043949.923007, lowerbound=1220245.923007, norm of subgrad 1105.284544 dualbound = 3043949.923007, lowerbound=1220245.923007, norm of subgrad 39.300760 stepsize= 1.000000
+dualbound = 3044033.028374, lowerbound=1215521.028374, norm of subgrad 1103.167724 dualbound = 3044033.028374, lowerbound=1215521.028374, norm of subgrad 39.256915 stepsize= 1.000000
+dualbound = 3044174.845516, lowerbound=1221929.845516, norm of subgrad 1106.027055 dualbound = 3044174.845516, lowerbound=1221929.845516, norm of subgrad 38.830621 stepsize= 1.000000
+dualbound = 3044325.828417, lowerbound=1221695.828417, norm of subgrad 1105.909051 dualbound = 3044325.828417, lowerbound=1221695.828417, norm of subgrad 38.600297 stepsize= 1.000000
+dualbound = 3044441.385925, lowerbound=1221337.385925, norm of subgrad 1105.745172 dualbound = 3044441.385925, lowerbound=1221337.385925, norm of subgrad 38.086185 stepsize= 1.000000
+dualbound = 3044568.788902, lowerbound=1223239.788902, norm of subgrad 1106.636701 dualbound = 3044568.788902, lowerbound=1223239.788902, norm of subgrad 39.145919 stepsize= 1.000000
+dualbound = 3044680.546183, lowerbound=1213671.546183, norm of subgrad 1102.283333 dualbound = 3044680.546183, lowerbound=1213671.546183, norm of subgrad 38.324369 stepsize= 1.000000
+dualbound = 3044797.663896, lowerbound=1219594.663896, norm of subgrad 1104.957313 dualbound = 3044797.663896, lowerbound=1219594.663896, norm of subgrad 38.119781 stepsize= 1.000000
+dualbound = 3044921.691955, lowerbound=1220488.691955, norm of subgrad 1105.393003 dualbound = 3044921.691955, lowerbound=1220488.691955, norm of subgrad 39.102788 stepsize= 1.000000
+dualbound = 3045033.427921, lowerbound=1220773.427921, norm of subgrad 1105.512744 dualbound = 3045033.427921, lowerbound=1220773.427921, norm of subgrad 38.687672 stepsize= 1.000000
+dualbound = 3045172.884810, lowerbound=1222632.884810, norm of subgrad 1106.346639 dualbound = 3045172.884810, lowerbound=1222632.884810, norm of subgrad 38.851730 stepsize= 1.000000
+dualbound = 3045302.201426, lowerbound=1221510.201426, norm of subgrad 1105.838687 dualbound = 3045302.201426, lowerbound=1221510.201426, norm of subgrad 38.708095 stepsize= 1.000000
+dualbound = 3045404.957019, lowerbound=1216864.957019, norm of subgrad 1103.739533 dualbound = 3045404.957019, lowerbound=1216864.957019, norm of subgrad 38.454591 stepsize= 1.000000
+dualbound = 3045509.539254, lowerbound=1217580.539254, norm of subgrad 1104.108935 dualbound = 3045509.539254, lowerbound=1217580.539254, norm of subgrad 39.756537 stepsize= 1.000000
+dualbound = 3045631.390549, lowerbound=1218582.390549, norm of subgrad 1104.511834 dualbound = 3045631.390549, lowerbound=1218582.390549, norm of subgrad 38.546742 stepsize= 1.000000
+dualbound = 3045770.946980, lowerbound=1219087.946980, norm of subgrad 1104.749721 dualbound = 3045770.946980, lowerbound=1219087.946980, norm of subgrad 39.032761 stepsize= 1.000000
+dualbound = 3045899.262209, lowerbound=1221267.262209, norm of subgrad 1105.735620 dualbound = 3045899.262209, lowerbound=1221267.262209, norm of subgrad 38.888497 stepsize= 1.000000
+dualbound = 3045999.880693, lowerbound=1219289.880693, norm of subgrad 1104.890891 dualbound = 3045999.880693, lowerbound=1219289.880693, norm of subgrad 39.932674 stepsize= 1.000000
+dualbound = 3046118.144854, lowerbound=1220833.144854, norm of subgrad 1105.545632 dualbound = 3046118.144854, lowerbound=1220833.144854, norm of subgrad 38.939237 stepsize= 1.000000
+dualbound = 3046243.032725, lowerbound=1217128.032725, norm of subgrad 1103.903090 dualbound = 3046243.032725, lowerbound=1217128.032725, norm of subgrad 39.986096 stepsize= 1.000000
+dualbound = 3046375.371084, lowerbound=1218676.371084, norm of subgrad 1104.589232 dualbound = 3046375.371084, lowerbound=1218676.371084, norm of subgrad 39.665329 stepsize= 1.000000
+dualbound = 3046494.102262, lowerbound=1219525.102262, norm of subgrad 1104.934433 dualbound = 3046494.102262, lowerbound=1219525.102262, norm of subgrad 38.389207 stepsize= 1.000000
+dualbound = 3046667.196995, lowerbound=1224012.196995, norm of subgrad 1106.964858 dualbound = 3046667.196995, lowerbound=1224012.196995, norm of subgrad 39.141982 stepsize= 1.000000
+dualbound = 3046738.369679, lowerbound=1216863.369679, norm of subgrad 1103.744250 dualbound = 3046738.369679, lowerbound=1216863.369679, norm of subgrad 38.199119 stepsize= 1.000000
+dualbound = 3046882.431026, lowerbound=1221903.431026, norm of subgrad 1105.998839 dualbound = 3046882.431026, lowerbound=1221903.431026, norm of subgrad 38.393507 stepsize= 1.000000
+dualbound = 3047013.630555, lowerbound=1216626.630555, norm of subgrad 1103.650140 dualbound = 3047013.630555, lowerbound=1216626.630555, norm of subgrad 39.347167 stepsize= 1.000000
+dualbound = 3047117.269522, lowerbound=1220364.269522, norm of subgrad 1105.327223 dualbound = 3047117.269522, lowerbound=1220364.269522, norm of subgrad 38.569923 stepsize= 1.000000
+dualbound = 3047242.381625, lowerbound=1221427.381625, norm of subgrad 1105.800787 dualbound = 3047242.381625, lowerbound=1221427.381625, norm of subgrad 38.640809 stepsize= 1.000000
+dualbound = 3047395.829697, lowerbound=1221475.829697, norm of subgrad 1105.794660 dualbound = 3047395.829697, lowerbound=1221475.829697, norm of subgrad 38.202723 stepsize= 1.000000
+dualbound = 3047500.637538, lowerbound=1221054.637538, norm of subgrad 1105.620929 dualbound = 3047500.637538, lowerbound=1221054.637538, norm of subgrad 38.050070 stepsize= 1.000000
+dualbound = 3047621.818000, lowerbound=1222405.818000, norm of subgrad 1106.220963 dualbound = 3047621.818000, lowerbound=1222405.818000, norm of subgrad 37.949710 stepsize= 1.000000
+dualbound = 3047736.150972, lowerbound=1218658.150972, norm of subgrad 1104.545224 dualbound = 3047736.150972, lowerbound=1218658.150972, norm of subgrad 38.423079 stepsize= 1.000000
+dualbound = 3047848.048499, lowerbound=1225716.048499, norm of subgrad 1107.745931 dualbound = 3047848.048499, lowerbound=1225716.048499, norm of subgrad 38.689760 stepsize= 1.000000
+dualbound = 3047978.522222, lowerbound=1215737.522222, norm of subgrad 1103.214178 dualbound = 3047978.522222, lowerbound=1215737.522222, norm of subgrad 38.398877 stepsize= 1.000000
+dualbound = 3048084.669532, lowerbound=1221115.669532, norm of subgrad 1105.661643 dualbound = 3048084.669532, lowerbound=1221115.669532, norm of subgrad 38.446681 stepsize= 1.000000
+dualbound = 3048220.001319, lowerbound=1215192.001319, norm of subgrad 1102.961015 dualbound = 3048220.001319, lowerbound=1215192.001319, norm of subgrad 38.292712 stepsize= 1.000000
+dualbound = 3048322.016986, lowerbound=1220904.016986, norm of subgrad 1105.608890 dualbound = 3048322.016986, lowerbound=1220904.016986, norm of subgrad 39.610802 stepsize= 1.000000
+dualbound = 3048421.875286, lowerbound=1218240.875286, norm of subgrad 1104.402044 dualbound = 3048421.875286, lowerbound=1218240.875286, norm of subgrad 39.533003 stepsize= 1.000000
+dualbound = 3048558.896634, lowerbound=1219956.896634, norm of subgrad 1105.136144 dualbound = 3048558.896634, lowerbound=1219956.896634, norm of subgrad 38.807491 stepsize= 1.000000
+dualbound = 3048698.663807, lowerbound=1218750.663807, norm of subgrad 1104.607470 dualbound = 3048698.663807, lowerbound=1218750.663807, norm of subgrad 39.328961 stepsize= 1.000000
+dualbound = 3048795.114855, lowerbound=1223546.114855, norm of subgrad 1106.786391 dualbound = 3048795.114855, lowerbound=1223546.114855, norm of subgrad 39.069823 stepsize= 1.000000
+dualbound = 3048939.892481, lowerbound=1220874.892481, norm of subgrad 1105.541448 dualbound = 3048939.892481, lowerbound=1220874.892481, norm of subgrad 38.623537 stepsize= 1.000000
+dualbound = 3049052.987052, lowerbound=1221974.987052, norm of subgrad 1106.023954 dualbound = 3049052.987052, lowerbound=1221974.987052, norm of subgrad 37.776905 stepsize= 1.000000
+dualbound = 3049210.986699, lowerbound=1217496.986699, norm of subgrad 1104.007693 dualbound = 3049210.986699, lowerbound=1217496.986699, norm of subgrad 38.652292 stepsize= 1.000000
+dualbound = 3049279.044491, lowerbound=1224082.044491, norm of subgrad 1107.014925 dualbound = 3049279.044491, lowerbound=1224082.044491, norm of subgrad 38.315242 stepsize= 1.000000
+dualbound = 3049418.484931, lowerbound=1220485.484931, norm of subgrad 1105.391100 dualbound = 3049418.484931, lowerbound=1220485.484931, norm of subgrad 39.286645 stepsize= 1.000000
+dualbound = 3049503.380060, lowerbound=1221593.380060, norm of subgrad 1105.898449 dualbound = 3049503.380060, lowerbound=1221593.380060, norm of subgrad 38.767191 stepsize= 1.000000
+dualbound = 3049660.338329, lowerbound=1218765.338329, norm of subgrad 1104.637650 dualbound = 3049660.338329, lowerbound=1218765.338329, norm of subgrad 40.198983 stepsize= 1.000000
+dualbound = 3049745.228390, lowerbound=1225356.228390, norm of subgrad 1107.595246 dualbound = 3049745.228390, lowerbound=1225356.228390, norm of subgrad 38.676738 stepsize= 1.000000
+dualbound = 3049912.218512, lowerbound=1213605.218512, norm of subgrad 1102.299514 dualbound = 3049912.218512, lowerbound=1213605.218512, norm of subgrad 40.323568 stepsize= 1.000000
+dualbound = 3050002.622941, lowerbound=1223391.622941, norm of subgrad 1106.685874 dualbound = 3050002.622941, lowerbound=1223391.622941, norm of subgrad 38.110424 stepsize= 1.000000
+dualbound = 3050167.679132, lowerbound=1222099.679132, norm of subgrad 1106.109253 dualbound = 3050167.679132, lowerbound=1222099.679132, norm of subgrad 39.281754 stepsize= 1.000000
+dualbound = 3050254.578774, lowerbound=1220032.578774, norm of subgrad 1105.175361 dualbound = 3050254.578774, lowerbound=1220032.578774, norm of subgrad 38.300126 stepsize= 1.000000
+dualbound = 3050406.613877, lowerbound=1221816.613877, norm of subgrad 1105.974509 dualbound = 3050406.613877, lowerbound=1221816.613877, norm of subgrad 38.923452 stepsize= 1.000000
+dualbound = 3050498.251632, lowerbound=1217050.251632, norm of subgrad 1103.813051 dualbound = 3050498.251632, lowerbound=1217050.251632, norm of subgrad 38.008391 stepsize= 1.000000
+dualbound = 3050634.829008, lowerbound=1219527.829008, norm of subgrad 1104.920734 dualbound = 3050634.829008, lowerbound=1219527.829008, norm of subgrad 38.191326 stepsize= 1.000000
+dualbound = 3050755.393268, lowerbound=1217832.393268, norm of subgrad 1104.153247 dualbound = 3050755.393268, lowerbound=1217832.393268, norm of subgrad 37.981104 stepsize= 1.000000
+dualbound = 3050874.875606, lowerbound=1223348.875606, norm of subgrad 1106.674241 dualbound = 3050874.875606, lowerbound=1223348.875606, norm of subgrad 38.710236 stepsize= 1.000000
+dualbound = 3050998.721331, lowerbound=1217677.721331, norm of subgrad 1104.094978 dualbound = 3050998.721331, lowerbound=1217677.721331, norm of subgrad 38.364642 stepsize= 1.000000
+dualbound = 3051112.019093, lowerbound=1221526.019093, norm of subgrad 1105.873871 dualbound = 3051112.019093, lowerbound=1221526.019093, norm of subgrad 39.297554 stepsize= 1.000000
+dualbound = 3051202.974605, lowerbound=1216282.974605, norm of subgrad 1103.476314 dualbound = 3051202.974605, lowerbound=1216282.974605, norm of subgrad 38.313908 stepsize= 1.000000
+dualbound = 3051359.891985, lowerbound=1224234.891985, norm of subgrad 1107.061377 dualbound = 3051359.891985, lowerbound=1224234.891985, norm of subgrad 38.819034 stepsize= 1.000000
+dualbound = 3051461.421875, lowerbound=1221914.421875, norm of subgrad 1106.014657 dualbound = 3051461.421875, lowerbound=1221914.421875, norm of subgrad 38.151407 stepsize= 1.000000
+dualbound = 3051594.260418, lowerbound=1219323.260418, norm of subgrad 1104.846261 dualbound = 3051594.260418, lowerbound=1219323.260418, norm of subgrad 38.663142 stepsize= 1.000000
+dualbound = 3051720.312377, lowerbound=1219740.312377, norm of subgrad 1105.063035 dualbound = 3051720.312377, lowerbound=1219740.312377, norm of subgrad 39.370699 stepsize= 1.000000
+dualbound = 3051826.069132, lowerbound=1221432.069132, norm of subgrad 1105.828680 dualbound = 3051826.069132, lowerbound=1221432.069132, norm of subgrad 39.124887 stepsize= 1.000000
+dualbound = 3051943.310879, lowerbound=1223073.310879, norm of subgrad 1106.538888 dualbound = 3051943.310879, lowerbound=1223073.310879, norm of subgrad 38.369803 stepsize= 1.000000
+dualbound = 3052079.515735, lowerbound=1223399.515735, norm of subgrad 1106.696668 dualbound = 3052079.515735, lowerbound=1223399.515735, norm of subgrad 38.912785 stepsize= 1.000000
+dualbound = 3052185.716155, lowerbound=1224793.716155, norm of subgrad 1107.324576 dualbound = 3052185.716155, lowerbound=1224793.716155, norm of subgrad 38.473373 stepsize= 1.000000
+dualbound = 3052303.655909, lowerbound=1218583.655909, norm of subgrad 1104.535041 dualbound = 3052303.655909, lowerbound=1218583.655909, norm of subgrad 39.140002 stepsize= 1.000000
+dualbound = 3052409.145951, lowerbound=1216982.145951, norm of subgrad 1103.801226 dualbound = 3052409.145951, lowerbound=1216982.145951, norm of subgrad 38.736159 stepsize= 1.000000
+dualbound = 3052544.193319, lowerbound=1220122.193319, norm of subgrad 1105.202331 dualbound = 3052544.193319, lowerbound=1220122.193319, norm of subgrad 38.536312 stepsize= 1.000000
+dualbound = 3052688.084547, lowerbound=1220650.084547, norm of subgrad 1105.423487 dualbound = 3052688.084547, lowerbound=1220650.084547, norm of subgrad 38.143036 stepsize= 1.000000
+dualbound = 3052809.988196, lowerbound=1219651.988196, norm of subgrad 1104.995470 dualbound = 3052809.988196, lowerbound=1219651.988196, norm of subgrad 38.534448 stepsize= 1.000000
+dualbound = 3052908.017761, lowerbound=1223362.017761, norm of subgrad 1106.686504 dualbound = 3052908.017761, lowerbound=1223362.017761, norm of subgrad 38.613852 stepsize= 1.000000
+dualbound = 3053014.857935, lowerbound=1224184.857935, norm of subgrad 1107.070846 dualbound = 3053014.857935, lowerbound=1224184.857935, norm of subgrad 39.087596 stepsize= 1.000000
+dualbound = 3053130.334521, lowerbound=1220244.334521, norm of subgrad 1105.275683 dualbound = 3053130.334521, lowerbound=1220244.334521, norm of subgrad 38.800471 stepsize= 1.000000
+dualbound = 3053272.783109, lowerbound=1220743.783109, norm of subgrad 1105.476722 dualbound = 3053272.783109, lowerbound=1220743.783109, norm of subgrad 38.437593 stepsize= 1.000000
+dualbound = 3053415.055221, lowerbound=1222856.055221, norm of subgrad 1106.399139 dualbound = 3053415.055221, lowerbound=1222856.055221, norm of subgrad 37.486959 stepsize= 1.000000
+dualbound = 3053534.384384, lowerbound=1221755.384384, norm of subgrad 1105.940498 dualbound = 3053534.384384, lowerbound=1221755.384384, norm of subgrad 38.318783 stepsize= 1.000000
+dualbound = 3053612.156071, lowerbound=1221925.156071, norm of subgrad 1106.025839 dualbound = 3053612.156071, lowerbound=1221925.156071, norm of subgrad 38.023305 stepsize= 1.000000
+dualbound = 3053739.978826, lowerbound=1217054.978826, norm of subgrad 1103.817004 dualbound = 3053739.978826, lowerbound=1217054.978826, norm of subgrad 38.533398 stepsize= 1.000000
+dualbound = 3053863.002943, lowerbound=1222098.002943, norm of subgrad 1106.086345 dualbound = 3053863.002943, lowerbound=1222098.002943, norm of subgrad 38.105434 stepsize= 1.000000
+dualbound = 3054012.205184, lowerbound=1221164.205184, norm of subgrad 1105.667764 dualbound = 3054012.205184, lowerbound=1221164.205184, norm of subgrad 38.551294 stepsize= 1.000000
+dualbound = 3054104.274353, lowerbound=1221099.274353, norm of subgrad 1105.641567 dualbound = 3054104.274353, lowerbound=1221099.274353, norm of subgrad 37.895503 stepsize= 1.000000
+dualbound = 3054205.034524, lowerbound=1223514.034524, norm of subgrad 1106.741178 dualbound = 3054205.034524, lowerbound=1223514.034524, norm of subgrad 38.246048 stepsize= 1.000000
+dualbound = 3054344.462624, lowerbound=1221612.462624, norm of subgrad 1105.893061 dualbound = 3054344.462624, lowerbound=1221612.462624, norm of subgrad 39.069529 stepsize= 1.000000
+dualbound = 3054470.725503, lowerbound=1224690.725503, norm of subgrad 1107.256396 dualbound = 3054470.725503, lowerbound=1224690.725503, norm of subgrad 38.108567 stepsize= 1.000000
+dualbound = 3054584.404867, lowerbound=1223765.404867, norm of subgrad 1106.859704 dualbound = 3054584.404867, lowerbound=1223765.404867, norm of subgrad 38.557481 stepsize= 1.000000
+dualbound = 3054716.686536, lowerbound=1223342.686536, norm of subgrad 1106.668734 dualbound = 3054716.686536, lowerbound=1223342.686536, norm of subgrad 38.797960 stepsize= 1.000000
+dualbound = 3054812.243117, lowerbound=1222901.243117, norm of subgrad 1106.456616 dualbound = 3054812.243117, lowerbound=1222901.243117, norm of subgrad 37.954665 stepsize= 1.000000
+dualbound = 3054921.275273, lowerbound=1218016.275273, norm of subgrad 1104.265039 dualbound = 3054921.275273, lowerbound=1218016.275273, norm of subgrad 38.652712 stepsize= 1.000000
+dualbound = 3055054.747732, lowerbound=1227919.747732, norm of subgrad 1108.760005 dualbound = 3055054.747732, lowerbound=1227919.747732, norm of subgrad 39.528122 stepsize= 1.000000
+dualbound = 3055161.463220, lowerbound=1214435.463220, norm of subgrad 1102.618004 dualbound = 3055161.463220, lowerbound=1214435.463220, norm of subgrad 37.917219 stepsize= 1.000000
+dualbound = 3055321.590558, lowerbound=1220839.590558, norm of subgrad 1105.501963 dualbound = 3055321.590558, lowerbound=1220839.590558, norm of subgrad 38.146131 stepsize= 1.000000
+dualbound = 3055425.803749, lowerbound=1217998.803749, norm of subgrad 1104.248977 dualbound = 3055425.803749, lowerbound=1217998.803749, norm of subgrad 38.356397 stepsize= 1.000000
+dualbound = 3055541.987978, lowerbound=1222619.987978, norm of subgrad 1106.309174 dualbound = 3055541.987978, lowerbound=1222619.987978, norm of subgrad 37.632223 stepsize= 1.000000
+dualbound = 3055668.282589, lowerbound=1222474.282589, norm of subgrad 1106.260043 dualbound = 3055668.282589, lowerbound=1222474.282589, norm of subgrad 38.253034 stepsize= 1.000000
+dualbound = 3055782.474499, lowerbound=1221555.474499, norm of subgrad 1105.852827 dualbound = 3055782.474499, lowerbound=1221555.474499, norm of subgrad 38.330039 stepsize= 1.000000
+dualbound = 3055879.969097, lowerbound=1217912.969097, norm of subgrad 1104.244071 dualbound = 3055879.969097, lowerbound=1217912.969097, norm of subgrad 39.236394 stepsize= 1.000000
+dualbound = 3055999.431967, lowerbound=1226465.431967, norm of subgrad 1108.087737 dualbound = 3055999.431967, lowerbound=1226465.431967, norm of subgrad 38.890396 stepsize= 1.000000
+dualbound = 3056149.588602, lowerbound=1222485.588602, norm of subgrad 1106.302666 dualbound = 3056149.588602, lowerbound=1222485.588602, norm of subgrad 39.625202 stepsize= 1.000000
+dualbound = 3056225.876901, lowerbound=1224449.876901, norm of subgrad 1107.173373 dualbound = 3056225.876901, lowerbound=1224449.876901, norm of subgrad 38.200632 stepsize= 1.000000
+dualbound = 3056358.945733, lowerbound=1221368.945733, norm of subgrad 1105.789286 dualbound = 3056358.945733, lowerbound=1221368.945733, norm of subgrad 39.167191 stepsize= 1.000000
+dualbound = 3056482.557107, lowerbound=1224757.557107, norm of subgrad 1107.282962 dualbound = 3056482.557107, lowerbound=1224757.557107, norm of subgrad 37.968558 stepsize= 1.000000
+dualbound = 3056608.351681, lowerbound=1220195.351681, norm of subgrad 1105.224571 dualbound = 3056608.351681, lowerbound=1220195.351681, norm of subgrad 38.102422 stepsize= 1.000000
+dualbound = 3056741.027729, lowerbound=1219091.027729, norm of subgrad 1104.732107 dualbound = 3056741.027729, lowerbound=1219091.027729, norm of subgrad 38.401511 stepsize= 1.000000
+dualbound = 3056846.618292, lowerbound=1226282.618292, norm of subgrad 1107.971849 dualbound = 3056846.618292, lowerbound=1226282.618292, norm of subgrad 37.743749 stepsize= 1.000000
+dualbound = 3056962.571455, lowerbound=1221580.571455, norm of subgrad 1105.891302 dualbound = 3056962.571455, lowerbound=1221580.571455, norm of subgrad 39.127397 stepsize= 1.000000
+dualbound = 3057087.304326, lowerbound=1222909.304326, norm of subgrad 1106.507706 dualbound = 3057087.304326, lowerbound=1222909.304326, norm of subgrad 39.682904 stepsize= 1.000000
+dualbound = 3057172.821616, lowerbound=1222012.821616, norm of subgrad 1106.059140 dualbound = 3057172.821616, lowerbound=1222012.821616, norm of subgrad 37.940971 stepsize= 1.000000
+dualbound = 3057331.258801, lowerbound=1217290.258801, norm of subgrad 1103.909987 dualbound = 3057331.258801, lowerbound=1217290.258801, norm of subgrad 38.541370 stepsize= 1.000000
+dualbound = 3057443.528607, lowerbound=1226688.528607, norm of subgrad 1108.170352 dualbound = 3057443.528607, lowerbound=1226688.528607, norm of subgrad 38.278843 stepsize= 1.000000
+dualbound = 3057543.642182, lowerbound=1223117.642182, norm of subgrad 1106.539490 dualbound = 3057543.642182, lowerbound=1223117.642182, norm of subgrad 37.578100 stepsize= 1.000000
+dualbound = 3057685.698999, lowerbound=1222530.698999, norm of subgrad 1106.282378 dualbound = 3057685.698999, lowerbound=1222530.698999, norm of subgrad 38.367393 stepsize= 1.000000
+dualbound = 3057789.101472, lowerbound=1221136.101472, norm of subgrad 1105.677214 dualbound = 3057789.101472, lowerbound=1221136.101472, norm of subgrad 38.592777 stepsize= 1.000000
+dualbound = 3057892.034840, lowerbound=1222931.034840, norm of subgrad 1106.466012 dualbound = 3057892.034840, lowerbound=1222931.034840, norm of subgrad 37.933275 stepsize= 1.000000
+dualbound = 3058055.028405, lowerbound=1223591.028405, norm of subgrad 1106.758342 dualbound = 3058055.028405, lowerbound=1223591.028405, norm of subgrad 38.548587 stepsize= 1.000000
+dualbound = 3058138.634126, lowerbound=1225307.634126, norm of subgrad 1107.563377 dualbound = 3058138.634126, lowerbound=1225307.634126, norm of subgrad 38.374545 stepsize= 1.000000
+dualbound = 3058262.319635, lowerbound=1222519.319635, norm of subgrad 1106.308420 dualbound = 3058262.319635, lowerbound=1222519.319635, norm of subgrad 39.021603 stepsize= 1.000000
+dualbound = 3058376.083629, lowerbound=1216111.083629, norm of subgrad 1103.410660 dualbound = 3058376.083629, lowerbound=1216111.083629, norm of subgrad 38.958491 stepsize= 1.000000
+dualbound = 3058492.154372, lowerbound=1229005.154372, norm of subgrad 1109.234490 dualbound = 3058492.154372, lowerbound=1229005.154372, norm of subgrad 38.885354 stepsize= 1.000000
+dualbound = 3058604.629258, lowerbound=1222129.629258, norm of subgrad 1106.139968 dualbound = 3058604.629258, lowerbound=1222129.629258, norm of subgrad 39.095714 stepsize= 1.000000
+dualbound = 3058736.056127, lowerbound=1223418.056127, norm of subgrad 1106.710466 dualbound = 3058736.056127, lowerbound=1223418.056127, norm of subgrad 39.005472 stepsize= 1.000000
+dualbound = 3058844.081823, lowerbound=1217139.081823, norm of subgrad 1103.899036 dualbound = 3058844.081823, lowerbound=1217139.081823, norm of subgrad 39.522471 stepsize= 1.000000
+dualbound = 3058949.703673, lowerbound=1222048.703673, norm of subgrad 1106.107004 dualbound = 3058949.703673, lowerbound=1222048.703673, norm of subgrad 39.110380 stepsize= 1.000000
+dualbound = 3059093.793035, lowerbound=1220735.793035, norm of subgrad 1105.483059 dualbound = 3059093.793035, lowerbound=1220735.793035, norm of subgrad 38.743895 stepsize= 1.000000
+dualbound = 3059214.846065, lowerbound=1220452.846065, norm of subgrad 1105.346935 dualbound = 3059214.846065, lowerbound=1220452.846065, norm of subgrad 38.210640 stepsize= 1.000000
+dualbound = 3059373.702164, lowerbound=1223670.702164, norm of subgrad 1106.778073 dualbound = 3059373.702164, lowerbound=1223670.702164, norm of subgrad 38.024415 stepsize= 1.000000
+dualbound = 3059458.090818, lowerbound=1225162.090818, norm of subgrad 1107.482772 dualbound = 3059458.090818, lowerbound=1225162.090818, norm of subgrad 37.952453 stepsize= 1.000000
+dualbound = 3059555.109149, lowerbound=1219754.109149, norm of subgrad 1105.043940 dualbound = 3059555.109149, lowerbound=1219754.109149, norm of subgrad 38.275558 stepsize= 1.000000
+dualbound = 3059688.845966, lowerbound=1224913.845966, norm of subgrad 1107.363918 dualbound = 3059688.845966, lowerbound=1224913.845966, norm of subgrad 38.402302 stepsize= 1.000000
+dualbound = 3059789.583613, lowerbound=1225323.583613, norm of subgrad 1107.552520 dualbound = 3059789.583613, lowerbound=1225323.583613, norm of subgrad 38.075421 stepsize= 1.000000
+dualbound = 3059935.857264, lowerbound=1217089.857264, norm of subgrad 1103.839598 dualbound = 3059935.857264, lowerbound=1217089.857264, norm of subgrad 38.965031 stepsize= 1.000000
+dualbound = 3060012.556082, lowerbound=1223971.556082, norm of subgrad 1106.963665 dualbound = 3060012.556082, lowerbound=1223971.556082, norm of subgrad 38.388785 stepsize= 1.000000
+dualbound = 3060151.619503, lowerbound=1219592.619503, norm of subgrad 1104.965438 dualbound = 3060151.619503, lowerbound=1219592.619503, norm of subgrad 38.666050 stepsize= 1.000000
+dualbound = 3060269.949747, lowerbound=1225440.949747, norm of subgrad 1107.584286 dualbound = 3060269.949747, lowerbound=1225440.949747, norm of subgrad 37.687269 stepsize= 1.000000
+dualbound = 3060412.547744, lowerbound=1218721.547744, norm of subgrad 1104.579353 dualbound = 3060412.547744, lowerbound=1218721.547744, norm of subgrad 38.943523 stepsize= 1.000000
+dualbound = 3060478.255553, lowerbound=1228103.255553, norm of subgrad 1108.825620 dualbound = 3060478.255553, lowerbound=1228103.255553, norm of subgrad 38.166842 stepsize= 1.000000
+dualbound = 3060645.590014, lowerbound=1222930.590014, norm of subgrad 1106.478463 dualbound = 3060645.590014, lowerbound=1222930.590014, norm of subgrad 39.132269 stepsize= 1.000000
+dualbound = 3060707.214041, lowerbound=1223531.214041, norm of subgrad 1106.766106 dualbound = 3060707.214041, lowerbound=1223531.214041, norm of subgrad 38.231192 stepsize= 1.000000
+dualbound = 3060858.447130, lowerbound=1222776.447130, norm of subgrad 1106.419652 dualbound = 3060858.447130, lowerbound=1222776.447130, norm of subgrad 39.233061 stepsize= 1.000000
+dualbound = 3060959.349775, lowerbound=1226990.349775, norm of subgrad 1108.309681 dualbound = 3060959.349775, lowerbound=1226990.349775, norm of subgrad 38.221756 stepsize= 1.000000
+dualbound = 3061115.681258, lowerbound=1221664.681258, norm of subgrad 1105.881405 dualbound = 3061115.681258, lowerbound=1221664.681258, norm of subgrad 38.279648 stepsize= 1.000000
+dualbound = 3061219.534483, lowerbound=1221795.534483, norm of subgrad 1105.946895 dualbound = 3061219.534483, lowerbound=1221795.534483, norm of subgrad 37.773711 stepsize= 1.000000
+dualbound = 3061348.640368, lowerbound=1221709.640368, norm of subgrad 1105.935640 dualbound = 3061348.640368, lowerbound=1221709.640368, norm of subgrad 38.898662 stepsize= 1.000000
+dualbound = 3061435.076794, lowerbound=1223958.076794, norm of subgrad 1106.956222 dualbound = 3061435.076794, lowerbound=1223958.076794, norm of subgrad 38.476440 stepsize= 1.000000
+dualbound = 3061586.684497, lowerbound=1218807.684497, norm of subgrad 1104.607027 dualbound = 3061586.684497, lowerbound=1218807.684497, norm of subgrad 38.737678 stepsize= 1.000000
+dualbound = 3061683.610331, lowerbound=1229789.610331, norm of subgrad 1109.587135 dualbound = 3061683.610331, lowerbound=1229789.610331, norm of subgrad 38.612509 stepsize= 1.000000
+dualbound = 3061803.384248, lowerbound=1220457.384248, norm of subgrad 1105.355320 dualbound = 3061803.384248, lowerbound=1220457.384248, norm of subgrad 38.376737 stepsize= 1.000000
+dualbound = 3061912.130736, lowerbound=1222124.130736, norm of subgrad 1106.102676 dualbound = 3061912.130736, lowerbound=1222124.130736, norm of subgrad 38.049264 stepsize= 1.000000
+dualbound = 3062068.083540, lowerbound=1225821.083540, norm of subgrad 1107.748655 dualbound = 3062068.083540, lowerbound=1225821.083540, norm of subgrad 37.973054 stepsize= 1.000000
+dualbound = 3062158.614200, lowerbound=1223481.614200, norm of subgrad 1106.706200 dualbound = 3062158.614200, lowerbound=1223481.614200, norm of subgrad 37.517072 stepsize= 1.000000
+dualbound = 3062271.414396, lowerbound=1221990.414396, norm of subgrad 1106.059860 dualbound = 3062271.414396, lowerbound=1221990.414396, norm of subgrad 38.610882 stepsize= 1.000000
+dualbound = 3062391.375298, lowerbound=1219223.375298, norm of subgrad 1104.772092 dualbound = 3062391.375298, lowerbound=1219223.375298, norm of subgrad 37.655822 stepsize= 1.000000
+dualbound = 3062517.539488, lowerbound=1222336.539488, norm of subgrad 1106.209085 dualbound = 3062517.539488, lowerbound=1222336.539488, norm of subgrad 38.576731 stepsize= 1.000000
+dualbound = 3062590.355481, lowerbound=1226684.355481, norm of subgrad 1108.180200 dualbound = 3062590.355481, lowerbound=1226684.355481, norm of subgrad 38.102703 stepsize= 1.000000
+dualbound = 3062738.789039, lowerbound=1224656.789039, norm of subgrad 1107.254618 dualbound = 3062738.789039, lowerbound=1224656.789039, norm of subgrad 38.787028 stepsize= 1.000000
+dualbound = 3062838.888990, lowerbound=1224512.888990, norm of subgrad 1107.199571 dualbound = 3062838.888990, lowerbound=1224512.888990, norm of subgrad 38.446065 stepsize= 1.000000
+dualbound = 3062990.766838, lowerbound=1221084.766838, norm of subgrad 1105.592044 dualbound = 3062990.766838, lowerbound=1221084.766838, norm of subgrad 37.428303 stepsize= 1.000000
+dualbound = 3063124.434424, lowerbound=1223985.434424, norm of subgrad 1106.920699 dualbound = 3063124.434424, lowerbound=1223985.434424, norm of subgrad 37.705007 stepsize= 1.000000
+dualbound = 3063229.538411, lowerbound=1222654.538411, norm of subgrad 1106.305807 dualbound = 3063229.538411, lowerbound=1222654.538411, norm of subgrad 36.920238 stepsize= 1.000000
+dualbound = 3063341.176049, lowerbound=1224893.176049, norm of subgrad 1107.332008 dualbound = 3063341.176049, lowerbound=1224893.176049, norm of subgrad 37.451804 stepsize= 1.000000
+dualbound = 3063443.171099, lowerbound=1223902.171099, norm of subgrad 1106.916063 dualbound = 3063443.171099, lowerbound=1223902.171099, norm of subgrad 38.249118 stepsize= 1.000000
+dualbound = 3063538.887107, lowerbound=1222167.887107, norm of subgrad 1106.146413 dualbound = 3063538.887107, lowerbound=1222167.887107, norm of subgrad 38.570922 stepsize= 1.000000
+dualbound = 3063675.172921, lowerbound=1226563.172921, norm of subgrad 1108.148083 dualbound = 3063675.172921, lowerbound=1226563.172921, norm of subgrad 39.563693 stepsize= 1.000000
+dualbound = 3063754.336677, lowerbound=1222161.336677, norm of subgrad 1106.160629 dualbound = 3063754.336677, lowerbound=1222161.336677, norm of subgrad 38.847957 stepsize= 1.000000
+dualbound = 3063903.891695, lowerbound=1227821.891695, norm of subgrad 1108.691522 dualbound = 3063903.891695, lowerbound=1227821.891695, norm of subgrad 39.045551 stepsize= 1.000000
+dualbound = 3064011.831869, lowerbound=1223491.831869, norm of subgrad 1106.716238 dualbound = 3064011.831869, lowerbound=1223491.831869, norm of subgrad 37.906994 stepsize= 1.000000
+dualbound = 3064144.228821, lowerbound=1225491.228821, norm of subgrad 1107.656187 dualbound = 3064144.228821, lowerbound=1225491.228821, norm of subgrad 39.286091 stepsize= 1.000000
+dualbound = 3064229.893725, lowerbound=1223020.893725, norm of subgrad 1106.519269 dualbound = 3064229.893725, lowerbound=1223020.893725, norm of subgrad 38.074465 stepsize= 1.000000
+dualbound = 3064352.376442, lowerbound=1226473.376442, norm of subgrad 1108.099895 dualbound = 3064352.376442, lowerbound=1226473.376442, norm of subgrad 39.172474 stepsize= 1.000000
+dualbound = 3064481.725199, lowerbound=1220893.725199, norm of subgrad 1105.546347 dualbound = 3064481.725199, lowerbound=1220893.725199, norm of subgrad 38.319039 stepsize= 1.000000
+dualbound = 3064602.894963, lowerbound=1223563.894963, norm of subgrad 1106.758282 dualbound = 3064602.894963, lowerbound=1223563.894963, norm of subgrad 38.355831 stepsize= 1.000000
+dualbound = 3064730.253344, lowerbound=1224341.253344, norm of subgrad 1107.103091 dualbound = 3064730.253344, lowerbound=1224341.253344, norm of subgrad 38.253868 stepsize= 1.000000
+dualbound = 3064842.905404, lowerbound=1220161.905404, norm of subgrad 1105.211249 dualbound = 3064842.905404, lowerbound=1220161.905404, norm of subgrad 37.982260 stepsize= 1.000000
+dualbound = 3064952.840897, lowerbound=1227853.840897, norm of subgrad 1108.688794 dualbound = 3064952.840897, lowerbound=1227853.840897, norm of subgrad 38.038605 stepsize= 1.000000
+dualbound = 3065084.209569, lowerbound=1225217.209569, norm of subgrad 1107.479666 dualbound = 3065084.209569, lowerbound=1225217.209569, norm of subgrad 37.754055 stepsize= 1.000000
+dualbound = 3065211.523822, lowerbound=1224460.523822, norm of subgrad 1107.162826 dualbound = 3065211.523822, lowerbound=1224460.523822, norm of subgrad 38.422835 stepsize= 1.000000
+dualbound = 3065297.183333, lowerbound=1226570.183333, norm of subgrad 1108.124624 dualbound = 3065297.183333, lowerbound=1226570.183333, norm of subgrad 38.153106 stepsize= 1.000000
+dualbound = 3065403.235625, lowerbound=1217158.235625, norm of subgrad 1103.838863 dualbound = 3065403.235625, lowerbound=1217158.235625, norm of subgrad 37.524023 stepsize= 1.000000
+dualbound = 3065551.764605, lowerbound=1223685.764605, norm of subgrad 1106.795268 dualbound = 3065551.764605, lowerbound=1223685.764605, norm of subgrad 38.190692 stepsize= 1.000000
+dualbound = 3065669.218144, lowerbound=1230165.218144, norm of subgrad 1109.722136 dualbound = 3065669.218144, lowerbound=1230165.218144, norm of subgrad 37.887380 stepsize= 1.000000
+dualbound = 3065766.479363, lowerbound=1225554.479363, norm of subgrad 1107.651786 dualbound = 3065766.479363, lowerbound=1225554.479363, norm of subgrad 37.884842 stepsize= 1.000000
+dualbound = 3065889.930423, lowerbound=1225926.930423, norm of subgrad 1107.819900 dualbound = 3065889.930423, lowerbound=1225926.930423, norm of subgrad 38.228930 stepsize= 1.000000
+dualbound = 3066003.699622, lowerbound=1223039.699622, norm of subgrad 1106.511500 dualbound = 3066003.699622, lowerbound=1223039.699622, norm of subgrad 37.970636 stepsize= 1.000000
+dualbound = 3066121.367276, lowerbound=1221355.367276, norm of subgrad 1105.718937 dualbound = 3066121.367276, lowerbound=1221355.367276, norm of subgrad 37.103472 stepsize= 1.000000
+dualbound = 3066253.819736, lowerbound=1220806.819736, norm of subgrad 1105.526038 dualbound = 3066253.819736, lowerbound=1220806.819736, norm of subgrad 38.903116 stepsize= 1.000000
+dualbound = 3066329.861777, lowerbound=1222618.861777, norm of subgrad 1106.301434 dualbound = 3066329.861777, lowerbound=1222618.861777, norm of subgrad 36.878748 stepsize= 1.000000
+dualbound = 3066510.253637, lowerbound=1222868.253637, norm of subgrad 1106.419565 dualbound = 3066510.253637, lowerbound=1222868.253637, norm of subgrad 38.423845 stepsize= 1.000000
+dualbound = 3066569.503744, lowerbound=1220006.503744, norm of subgrad 1105.169898 dualbound = 3066569.503744, lowerbound=1220006.503744, norm of subgrad 38.121518 stepsize= 1.000000
+dualbound = 3066717.490388, lowerbound=1227837.490388, norm of subgrad 1108.666988 dualbound = 3066717.490388, lowerbound=1227837.490388, norm of subgrad 38.118062 stepsize= 1.000000
+dualbound = 3066799.517118, lowerbound=1223191.517118, norm of subgrad 1106.595462 dualbound = 3066799.517118, lowerbound=1223191.517118, norm of subgrad 38.000352 stepsize= 1.000000
+dualbound = 3066940.323362, lowerbound=1221819.323362, norm of subgrad 1105.961719 dualbound = 3066940.323362, lowerbound=1221819.323362, norm of subgrad 38.377158 stepsize= 1.000000
+dualbound = 3067047.183237, lowerbound=1227921.183237, norm of subgrad 1108.764260 dualbound = 3067047.183237, lowerbound=1227921.183237, norm of subgrad 39.291982 stepsize= 1.000000
+dualbound = 3067165.782165, lowerbound=1219444.782165, norm of subgrad 1104.901707 dualbound = 3067165.782165, lowerbound=1219444.782165, norm of subgrad 38.491544 stepsize= 1.000000
+dualbound = 3067299.416054, lowerbound=1227486.416054, norm of subgrad 1108.520372 dualbound = 3067299.416054, lowerbound=1227486.416054, norm of subgrad 38.270536 stepsize= 1.000000
+dualbound = 3067418.760631, lowerbound=1223018.760631, norm of subgrad 1106.518306 dualbound = 3067418.760631, lowerbound=1223018.760631, norm of subgrad 38.514213 stepsize= 1.000000
+dualbound = 3067505.271849, lowerbound=1223824.271849, norm of subgrad 1106.875003 dualbound = 3067505.271849, lowerbound=1223824.271849, norm of subgrad 37.874942 stepsize= 1.000000
+dualbound = 3067638.145967, lowerbound=1230225.145967, norm of subgrad 1109.782927 dualbound = 3067638.145967, lowerbound=1230225.145967, norm of subgrad 39.062439 stepsize= 1.000000
+dualbound = 3067743.173353, lowerbound=1224423.173353, norm of subgrad 1107.161313 dualbound = 3067743.173353, lowerbound=1224423.173353, norm of subgrad 38.574958 stepsize= 1.000000
+dualbound = 3067848.463514, lowerbound=1223623.463514, norm of subgrad 1106.805522 dualbound = 3067848.463514, lowerbound=1223623.463514, norm of subgrad 38.733579 stepsize= 1.000000
+dualbound = 3067985.751074, lowerbound=1224248.751074, norm of subgrad 1107.048215 dualbound = 3067985.751074, lowerbound=1224248.751074, norm of subgrad 38.003784 stepsize= 1.000000
+dualbound = 3068110.244344, lowerbound=1221183.244344, norm of subgrad 1105.686775 dualbound = 3068110.244344, lowerbound=1221183.244344, norm of subgrad 38.529122 stepsize= 1.000000
+dualbound = 3068211.017082, lowerbound=1224539.017082, norm of subgrad 1107.219498 dualbound = 3068211.017082, lowerbound=1224539.017082, norm of subgrad 38.688147 stepsize= 1.000000
+dualbound = 3068321.493227, lowerbound=1228884.493227, norm of subgrad 1109.151700 dualbound = 3068321.493227, lowerbound=1228884.493227, norm of subgrad 37.993107 stepsize= 1.000000
+dualbound = 3068472.300725, lowerbound=1226096.300725, norm of subgrad 1107.892278 dualbound = 3068472.300725, lowerbound=1226096.300725, norm of subgrad 38.468266 stepsize= 1.000000
+dualbound = 3068582.665368, lowerbound=1221489.665368, norm of subgrad 1105.822619 dualbound = 3068582.665368, lowerbound=1221489.665368, norm of subgrad 38.267018 stepsize= 1.000000
+dualbound = 3068683.516861, lowerbound=1225470.516861, norm of subgrad 1107.618399 dualbound = 3068683.516861, lowerbound=1225470.516861, norm of subgrad 38.063782 stepsize= 1.000000
+dualbound = 3068814.911779, lowerbound=1225070.911779, norm of subgrad 1107.435737 dualbound = 3068814.911779, lowerbound=1225070.911779, norm of subgrad 38.397850 stepsize= 1.000000
+dualbound = 3068906.424472, lowerbound=1220305.424472, norm of subgrad 1105.294723 dualbound = 3068906.424472, lowerbound=1220305.424472, norm of subgrad 38.242812 stepsize= 1.000000
+dualbound = 3069043.588975, lowerbound=1227607.588975, norm of subgrad 1108.579086 dualbound = 3069043.588975, lowerbound=1227607.588975, norm of subgrad 38.433898 stepsize= 1.000000
+dualbound = 3069162.633929, lowerbound=1223807.633929, norm of subgrad 1106.868391 dualbound = 3069162.633929, lowerbound=1223807.633929, norm of subgrad 38.328122 stepsize= 1.000000
+dualbound = 3069293.482192, lowerbound=1221905.482192, norm of subgrad 1106.020109 dualbound = 3069293.482192, lowerbound=1221905.482192, norm of subgrad 38.805261 stepsize= 1.000000
+dualbound = 3069381.956104, lowerbound=1224540.956104, norm of subgrad 1107.221277 dualbound = 3069381.956104, lowerbound=1224540.956104, norm of subgrad 38.554817 stepsize= 1.000000
+dualbound = 3069507.282750, lowerbound=1221477.282750, norm of subgrad 1105.811142 dualbound = 3069507.282750, lowerbound=1221477.282750, norm of subgrad 38.292645 stepsize= 1.000000
+dualbound = 3069640.322346, lowerbound=1226610.322346, norm of subgrad 1108.117468 dualbound = 3069640.322346, lowerbound=1226610.322346, norm of subgrad 38.039974 stepsize= 1.000000
+dualbound = 3069768.730972, lowerbound=1222267.730972, norm of subgrad 1106.175723 dualbound = 3069768.730972, lowerbound=1222267.730972, norm of subgrad 38.540999 stepsize= 1.000000
+dualbound = 3069842.366256, lowerbound=1222507.366256, norm of subgrad 1106.307989 dualbound = 3069842.366256, lowerbound=1222507.366256, norm of subgrad 38.517986 stepsize= 1.000000
+dualbound = 3069953.832484, lowerbound=1223812.832484, norm of subgrad 1106.901456 dualbound = 3069953.832484, lowerbound=1223812.832484, norm of subgrad 39.108391 stepsize= 1.000000
+dualbound = 3070074.469431, lowerbound=1222034.469431, norm of subgrad 1106.101021 dualbound = 3070074.469431, lowerbound=1222034.469431, norm of subgrad 39.314590 stepsize= 1.000000
+dualbound = 3070174.815002, lowerbound=1227288.815002, norm of subgrad 1108.472289 dualbound = 3070174.815002, lowerbound=1227288.815002, norm of subgrad 39.017247 stepsize= 1.000000
+dualbound = 3070322.901392, lowerbound=1223504.901392, norm of subgrad 1106.723498 dualbound = 3070322.901392, lowerbound=1223504.901392, norm of subgrad 38.471891 stepsize= 1.000000
+dualbound = 3070460.877650, lowerbound=1225612.877650, norm of subgrad 1107.656931 dualbound = 3070460.877650, lowerbound=1225612.877650, norm of subgrad 37.801802 stepsize= 1.000000
+dualbound = 3070574.983324, lowerbound=1226017.983324, norm of subgrad 1107.851065 dualbound = 3070574.983324, lowerbound=1226017.983324, norm of subgrad 37.816738 stepsize= 1.000000
+dualbound = 3070685.891592, lowerbound=1225339.891592, norm of subgrad 1107.570716 dualbound = 3070685.891592, lowerbound=1225339.891592, norm of subgrad 38.521530 stepsize= 1.000000
+dualbound = 3070783.688214, lowerbound=1224353.688214, norm of subgrad 1107.130384 dualbound = 3070783.688214, lowerbound=1224353.688214, norm of subgrad 38.494112 stepsize= 1.000000
+dualbound = 3070906.289420, lowerbound=1223256.289420, norm of subgrad 1106.622469 dualbound = 3070906.289420, lowerbound=1223256.289420, norm of subgrad 38.465585 stepsize= 1.000000
+dualbound = 3071043.047693, lowerbound=1223865.047693, norm of subgrad 1106.871739 dualbound = 3071043.047693, lowerbound=1223865.047693, norm of subgrad 37.904594 stepsize= 1.000000
+dualbound = 3071173.697147, lowerbound=1225497.697147, norm of subgrad 1107.608097 dualbound = 3071173.697147, lowerbound=1225497.697147, norm of subgrad 37.797479 stepsize= 1.000000
+dualbound = 3071283.070671, lowerbound=1224418.070671, norm of subgrad 1107.117912 dualbound = 3071283.070671, lowerbound=1224418.070671, norm of subgrad 37.434924 stepsize= 1.000000
+dualbound = 3071398.426373, lowerbound=1230247.426373, norm of subgrad 1109.792966 dualbound = 3071398.426373, lowerbound=1230247.426373, norm of subgrad 38.837555 stepsize= 1.000000
+dualbound = 3071471.978283, lowerbound=1223740.978283, norm of subgrad 1106.851832 dualbound = 3071471.978283, lowerbound=1223740.978283, norm of subgrad 38.125476 stepsize= 1.000000
+dualbound = 3071644.512729, lowerbound=1221133.512729, norm of subgrad 1105.645292 dualbound = 3071644.512729, lowerbound=1221133.512729, norm of subgrad 38.607440 stepsize= 1.000000
+dualbound = 3071724.505457, lowerbound=1222707.505457, norm of subgrad 1106.361833 dualbound = 3071724.505457, lowerbound=1222707.505457, norm of subgrad 37.536552 stepsize= 1.000000
+dualbound = 3071853.328215, lowerbound=1224287.328215, norm of subgrad 1107.120738 dualbound = 3071853.328215, lowerbound=1224287.328215, norm of subgrad 39.469263 stepsize= 1.000000
+dualbound = 3071961.088544, lowerbound=1225366.088544, norm of subgrad 1107.555456 dualbound = 3071961.088544, lowerbound=1225366.088544, norm of subgrad 37.692975 stepsize= 1.000000
+dualbound = 3072106.058077, lowerbound=1223268.058077, norm of subgrad 1106.575374 dualbound = 3072106.058077, lowerbound=1223268.058077, norm of subgrad 37.228612 stepsize= 1.000000
+dualbound = 3072222.061752, lowerbound=1224897.061752, norm of subgrad 1107.365821 dualbound = 3072222.061752, lowerbound=1224897.061752, norm of subgrad 38.444813 stepsize= 1.000000
+dualbound = 3072312.042450, lowerbound=1227818.042450, norm of subgrad 1108.698355 dualbound = 3072312.042450, lowerbound=1227818.042450, norm of subgrad 38.522470 stepsize= 1.000000
+dualbound = 3072412.002130, lowerbound=1222076.002130, norm of subgrad 1106.098550 dualbound = 3072412.002130, lowerbound=1222076.002130, norm of subgrad 38.444241 stepsize= 1.000000
+dualbound = 3072547.062802, lowerbound=1226071.062802, norm of subgrad 1107.919249 dualbound = 3072547.062802, lowerbound=1226071.062802, norm of subgrad 39.358108 stepsize= 1.000000
+dualbound = 3072617.932312, lowerbound=1223406.932312, norm of subgrad 1106.700923 dualbound = 3072617.932312, lowerbound=1223406.932312, norm of subgrad 38.090281 stepsize= 1.000000
+dualbound = 3072784.113636, lowerbound=1226672.113636, norm of subgrad 1108.199492 dualbound = 3072784.113636, lowerbound=1226672.113636, norm of subgrad 40.002266 stepsize= 1.000000
+dualbound = 3072866.918341, lowerbound=1225357.918341, norm of subgrad 1107.581563 dualbound = 3072866.918341, lowerbound=1225357.918341, norm of subgrad 38.233555 stepsize= 1.000000
+dualbound = 3072990.259801, lowerbound=1228233.259801, norm of subgrad 1108.900924 dualbound = 3072990.259801, lowerbound=1228233.259801, norm of subgrad 39.387072 stepsize= 1.000000
+dualbound = 3073123.547228, lowerbound=1222679.547228, norm of subgrad 1106.335639 dualbound = 3073123.547228, lowerbound=1222679.547228, norm of subgrad 37.845573 stepsize= 1.000000
+dualbound = 3073258.701746, lowerbound=1222820.701746, norm of subgrad 1106.417508 dualbound = 3073258.701746, lowerbound=1222820.701746, norm of subgrad 38.394720 stepsize= 1.000000
+dualbound = 3073349.315596, lowerbound=1225632.315596, norm of subgrad 1107.689630 dualbound = 3073349.315596, lowerbound=1225632.315596, norm of subgrad 37.876297 stepsize= 1.000000
+dualbound = 3073491.971990, lowerbound=1221132.971990, norm of subgrad 1105.654997 dualbound = 3073491.971990, lowerbound=1221132.971990, norm of subgrad 38.505277 stepsize= 1.000000
+dualbound = 3073589.477039, lowerbound=1224425.477039, norm of subgrad 1107.156031 dualbound = 3073589.477039, lowerbound=1224425.477039, norm of subgrad 38.294974 stepsize= 1.000000
+dualbound = 3073707.361533, lowerbound=1222098.361533, norm of subgrad 1106.080179 dualbound = 3073707.361533, lowerbound=1222098.361533, norm of subgrad 37.853461 stepsize= 1.000000
+dualbound = 3073836.042717, lowerbound=1227559.042717, norm of subgrad 1108.572525 dualbound = 3073836.042717, lowerbound=1227559.042717, norm of subgrad 38.764432 stepsize= 1.000000
+dualbound = 3073948.821094, lowerbound=1225397.821094, norm of subgrad 1107.607250 dualbound = 3073948.821094, lowerbound=1225397.821094, norm of subgrad 38.842996 stepsize= 1.000000
+dualbound = 3074043.703336, lowerbound=1225375.703336, norm of subgrad 1107.604489 dualbound = 3074043.703336, lowerbound=1225375.703336, norm of subgrad 38.818581 stepsize= 1.000000
+dualbound = 3074185.380997, lowerbound=1227498.380997, norm of subgrad 1108.542458 dualbound = 3074185.380997, lowerbound=1227498.380997, norm of subgrad 38.854571 stepsize= 1.000000
+dualbound = 3074285.875554, lowerbound=1223126.875554, norm of subgrad 1106.599691 dualbound = 3074285.875554, lowerbound=1223126.875554, norm of subgrad 39.198145 stepsize= 1.000000
+dualbound = 3074429.139980, lowerbound=1227550.139980, norm of subgrad 1108.526563 dualbound = 3074429.139980, lowerbound=1227550.139980, norm of subgrad 37.739428 stepsize= 1.000000
+dualbound = 3074562.034146, lowerbound=1223523.034146, norm of subgrad 1106.724913 dualbound = 3074562.034146, lowerbound=1223523.034146, norm of subgrad 38.077476 stepsize= 1.000000
+dualbound = 3074666.896371, lowerbound=1224869.896371, norm of subgrad 1107.328721 dualbound = 3074666.896371, lowerbound=1224869.896371, norm of subgrad 37.574755 stepsize= 1.000000
+dualbound = 3074771.536050, lowerbound=1227882.536050, norm of subgrad 1108.704891 dualbound = 3074771.536050, lowerbound=1227882.536050, norm of subgrad 38.060999 stepsize= 1.000000
+dualbound = 3074893.897926, lowerbound=1226100.897926, norm of subgrad 1107.919626 dualbound = 3074893.897926, lowerbound=1226100.897926, norm of subgrad 38.824759 stepsize= 1.000000
+dualbound = 3074986.903813, lowerbound=1224352.903813, norm of subgrad 1107.107901 dualbound = 3074986.903813, lowerbound=1224352.903813, norm of subgrad 37.788965 stepsize= 1.000000
+dualbound = 3075139.202613, lowerbound=1221428.202613, norm of subgrad 1105.761368 dualbound = 3075139.202613, lowerbound=1221428.202613, norm of subgrad 37.845724 stepsize= 1.000000
+dualbound = 3075231.461010, lowerbound=1229841.461010, norm of subgrad 1109.605994 dualbound = 3075231.461010, lowerbound=1229841.461010, norm of subgrad 38.422108 stepsize= 1.000000
+dualbound = 3075329.810982, lowerbound=1226646.810981, norm of subgrad 1108.152882 dualbound = 3075329.810982, lowerbound=1226646.810981, norm of subgrad 38.135941 stepsize= 1.000000
+dualbound = 3075473.592248, lowerbound=1228337.592248, norm of subgrad 1108.893409 dualbound = 3075473.592248, lowerbound=1228337.592248, norm of subgrad 38.089123 stepsize= 1.000000
+dualbound = 3075581.974575, lowerbound=1224191.974575, norm of subgrad 1107.042445 dualbound = 3075581.974575, lowerbound=1224191.974575, norm of subgrad 38.201863 stepsize= 1.000000
+dualbound = 3075682.242490, lowerbound=1224680.242490, norm of subgrad 1107.283271 dualbound = 3075682.242490, lowerbound=1224680.242490, norm of subgrad 38.681622 stepsize= 1.000000
+dualbound = 3075800.096722, lowerbound=1221603.096722, norm of subgrad 1105.885662 dualbound = 3075800.096722, lowerbound=1221603.096722, norm of subgrad 38.702122 stepsize= 1.000000
+dualbound = 3075921.482274, lowerbound=1224048.482274, norm of subgrad 1106.982603 dualbound = 3075921.482274, lowerbound=1224048.482274, norm of subgrad 38.514745 stepsize= 1.000000
+dualbound = 3076042.150708, lowerbound=1224253.150708, norm of subgrad 1107.080914 dualbound = 3076042.150708, lowerbound=1224253.150708, norm of subgrad 38.673873 stepsize= 1.000000
+dualbound = 3076155.850717, lowerbound=1224912.850717, norm of subgrad 1107.400492 dualbound = 3076155.850717, lowerbound=1224912.850717, norm of subgrad 39.200765 stepsize= 1.000000
+dualbound = 3076265.333669, lowerbound=1223787.333669, norm of subgrad 1106.858769 dualbound = 3076265.333669, lowerbound=1223787.333669, norm of subgrad 38.190090 stepsize= 1.000000
+dualbound = 3076399.206071, lowerbound=1221774.206071, norm of subgrad 1105.957597 dualbound = 3076399.206071, lowerbound=1221774.206071, norm of subgrad 38.753999 stepsize= 1.000000
+dualbound = 3076517.330491, lowerbound=1224159.330491, norm of subgrad 1107.018668 dualbound = 3076517.330491, lowerbound=1224159.330491, norm of subgrad 38.067367 stepsize= 1.000000
+dualbound = 3076624.009667, lowerbound=1230594.009667, norm of subgrad 1109.924777 dualbound = 3076624.009667, lowerbound=1230594.009667, norm of subgrad 38.022088 stepsize= 1.000000
+dualbound = 3076761.140704, lowerbound=1228619.140704, norm of subgrad 1109.041992 dualbound = 3076761.140704, lowerbound=1228619.140704, norm of subgrad 38.628112 stepsize= 1.000000
+dualbound = 3076845.570880, lowerbound=1223319.570880, norm of subgrad 1106.667778 dualbound = 3076845.570880, lowerbound=1223319.570880, norm of subgrad 38.450360 stepsize= 1.000000
+dualbound = 3076961.049334, lowerbound=1226930.049334, norm of subgrad 1108.268040 dualbound = 3076961.049334, lowerbound=1226930.049334, norm of subgrad 37.993137 stepsize= 1.000000
+dualbound = 3077087.142438, lowerbound=1225606.142438, norm of subgrad 1107.680072 dualbound = 3077087.142438, lowerbound=1225606.142438, norm of subgrad 38.406941 stepsize= 1.000000
+dualbound = 3077189.774352, lowerbound=1225659.774352, norm of subgrad 1107.711052 dualbound = 3077189.774352, lowerbound=1225659.774352, norm of subgrad 38.296631 stepsize= 1.000000
+dualbound = 3077324.927039, lowerbound=1221937.927039, norm of subgrad 1106.007652 dualbound = 3077324.927039, lowerbound=1221937.927039, norm of subgrad 38.080870 stepsize= 1.000000
+dualbound = 3077463.518963, lowerbound=1223347.518963, norm of subgrad 1106.670014 dualbound = 3077463.518963, lowerbound=1223347.518963, norm of subgrad 38.853467 stepsize= 1.000000
+dualbound = 3077532.532209, lowerbound=1219586.532209, norm of subgrad 1105.020150 dualbound = 3077532.532209, lowerbound=1219586.532209, norm of subgrad 39.395599 stepsize= 1.000000
+dualbound = 3077650.594453, lowerbound=1230684.594453, norm of subgrad 1110.018286 dualbound = 3077650.594453, lowerbound=1230684.594453, norm of subgrad 39.674453 stepsize= 1.000000
+dualbound = 3077767.896775, lowerbound=1224619.896775, norm of subgrad 1107.231185 dualbound = 3077767.896775, lowerbound=1224619.896775, norm of subgrad 38.187725 stepsize= 1.000000
+dualbound = 3077923.213114, lowerbound=1226924.213114, norm of subgrad 1108.269017 dualbound = 3077923.213114, lowerbound=1226924.213114, norm of subgrad 38.617565 stepsize= 1.000000
+dualbound = 3078019.562638, lowerbound=1226800.562638, norm of subgrad 1108.189317 dualbound = 3078019.562638, lowerbound=1226800.562638, norm of subgrad 37.139595 stepsize= 1.000000
+dualbound = 3078145.726128, lowerbound=1221404.726128, norm of subgrad 1105.782857 dualbound = 3078145.726128, lowerbound=1221404.726128, norm of subgrad 38.433885 stepsize= 1.000000
+dualbound = 3078263.690012, lowerbound=1224658.690012, norm of subgrad 1107.198126 dualbound = 3078263.690012, lowerbound=1224658.690012, norm of subgrad 36.701007 stepsize= 1.000000
+dualbound = 3078407.804416, lowerbound=1223704.804416, norm of subgrad 1106.820584 dualbound = 3078407.804416, lowerbound=1223704.804416, norm of subgrad 38.614951 stepsize= 1.000000
+dualbound = 3078465.613905, lowerbound=1227294.613905, norm of subgrad 1108.458666 dualbound = 3078465.613905, lowerbound=1227294.613905, norm of subgrad 37.997493 stepsize= 1.000000
+dualbound = 3078620.650747, lowerbound=1225410.650747, norm of subgrad 1107.568802 dualbound = 3078620.650747, lowerbound=1225410.650747, norm of subgrad 38.118720 stepsize= 1.000000
+dualbound = 3078723.603619, lowerbound=1223544.603619, norm of subgrad 1106.750470 dualbound = 3078723.603619, lowerbound=1223544.603619, norm of subgrad 38.143844 stepsize= 1.000000
+dualbound = 3078819.353551, lowerbound=1226493.353551, norm of subgrad 1108.088604 dualbound = 3078819.353551, lowerbound=1226493.353551, norm of subgrad 38.245914 stepsize= 1.000000
+dualbound = 3078948.425045, lowerbound=1226519.425045, norm of subgrad 1108.106685 dualbound = 3078948.425045, lowerbound=1226519.425045, norm of subgrad 38.859638 stepsize= 1.000000
+dualbound = 3079080.368491, lowerbound=1235193.368491, norm of subgrad 1112.021748 dualbound = 3079080.368491, lowerbound=1235193.368491, norm of subgrad 39.127272 stepsize= 1.000000
+dualbound = 3079162.782779, lowerbound=1223693.782779, norm of subgrad 1106.830060 dualbound = 3079162.782779, lowerbound=1223693.782779, norm of subgrad 38.228449 stepsize= 1.000000
+dualbound = 3079296.593792, lowerbound=1224322.593792, norm of subgrad 1107.119051 dualbound = 3079296.593792, lowerbound=1224322.593792, norm of subgrad 39.036022 stepsize= 1.000000
+dualbound = 3079405.400522, lowerbound=1227162.400522, norm of subgrad 1108.396770 dualbound = 3079405.400522, lowerbound=1227162.400522, norm of subgrad 38.598015 stepsize= 1.000000
+dualbound = 3079523.832698, lowerbound=1222482.832698, norm of subgrad 1106.297805 dualbound = 3079523.832698, lowerbound=1222482.832698, norm of subgrad 39.120738 stepsize= 1.000000
+dualbound = 3079619.102434, lowerbound=1221923.102434, norm of subgrad 1106.016321 dualbound = 3079619.102434, lowerbound=1221923.102434, norm of subgrad 38.003549 stepsize= 1.000000
+dualbound = 3079778.028917, lowerbound=1229760.028917, norm of subgrad 1109.573354 dualbound = 3079778.028917, lowerbound=1229760.028917, norm of subgrad 39.394498 stepsize= 1.000000
+dualbound = 3079860.637931, lowerbound=1220595.637931, norm of subgrad 1105.408358 dualbound = 3079860.637931, lowerbound=1220595.637931, norm of subgrad 37.611288 stepsize= 1.000000
+dualbound = 3080028.290613, lowerbound=1222535.290613, norm of subgrad 1106.258239 dualbound = 3080028.290613, lowerbound=1222535.290613, norm of subgrad 37.942755 stepsize= 1.000000
+dualbound = 3080131.700262, lowerbound=1220240.700262, norm of subgrad 1105.248705 dualbound = 3080131.700262, lowerbound=1220240.700262, norm of subgrad 37.913186 stepsize= 1.000000
+dualbound = 3080245.158031, lowerbound=1230270.158031, norm of subgrad 1109.762208 dualbound = 3080245.158031, lowerbound=1230270.158031, norm of subgrad 37.622570 stepsize= 1.000000
+dualbound = 3080351.537523, lowerbound=1222021.537523, norm of subgrad 1106.041381 dualbound = 3080351.537523, lowerbound=1222021.537523, norm of subgrad 37.581638 stepsize= 1.000000
+dualbound = 3080481.482360, lowerbound=1235618.482360, norm of subgrad 1112.196692 dualbound = 3080481.482360, lowerbound=1235618.482360, norm of subgrad 38.638644 stepsize= 1.000000
+dualbound = 3080566.459514, lowerbound=1216245.459514, norm of subgrad 1103.452971 dualbound = 3080566.459514, lowerbound=1216245.459514, norm of subgrad 38.052295 stepsize= 1.000000
+dualbound = 3080691.824123, lowerbound=1226034.824123, norm of subgrad 1107.886648 dualbound = 3080691.824123, lowerbound=1226034.824123, norm of subgrad 38.773246 stepsize= 1.000000
+dualbound = 3080786.035649, lowerbound=1226519.035649, norm of subgrad 1108.135838 dualbound = 3080786.035649, lowerbound=1226519.035649, norm of subgrad 39.245529 stepsize= 1.000000
+dualbound = 3080906.148450, lowerbound=1227752.148450, norm of subgrad 1108.650147 dualbound = 3080906.148450, lowerbound=1227752.148450, norm of subgrad 38.381152 stepsize= 1.000000
+dualbound = 3081053.703295, lowerbound=1225874.703295, norm of subgrad 1107.793619 dualbound = 3081053.703295, lowerbound=1225874.703295, norm of subgrad 38.464982 stepsize= 1.000000
+dualbound = 3081155.985008, lowerbound=1226984.985008, norm of subgrad 1108.300043 dualbound = 3081155.985008, lowerbound=1226984.985008, norm of subgrad 38.030011 stepsize= 1.000000
+dualbound = 3081282.619823, lowerbound=1228961.619823, norm of subgrad 1109.176100 dualbound = 3081282.619823, lowerbound=1228961.619823, norm of subgrad 37.902966 stepsize= 1.000000
+dualbound = 3081408.040489, lowerbound=1225637.040489, norm of subgrad 1107.679123 dualbound = 3081408.040489, lowerbound=1225637.040489, norm of subgrad 37.966046 stepsize= 1.000000
+dualbound = 3081516.353933, lowerbound=1226876.353933, norm of subgrad 1108.259155 dualbound = 3081516.353933, lowerbound=1226876.353933, norm of subgrad 38.344666 stepsize= 1.000000
+dualbound = 3081620.947128, lowerbound=1225107.947128, norm of subgrad 1107.464197 dualbound = 3081620.947128, lowerbound=1225107.947128, norm of subgrad 38.387409 stepsize= 1.000000
+dualbound = 3081718.598932, lowerbound=1223325.598932, norm of subgrad 1106.661014 dualbound = 3081718.598932, lowerbound=1223325.598932, norm of subgrad 38.349078 stepsize= 1.000000
+dualbound = 3081845.600282, lowerbound=1230007.600282, norm of subgrad 1109.666436 dualbound = 3081845.600282, lowerbound=1230007.600282, norm of subgrad 38.457787 stepsize= 1.000000
+dualbound = 3081937.694732, lowerbound=1223045.694732, norm of subgrad 1106.523246 dualbound = 3081937.694732, lowerbound=1223045.694732, norm of subgrad 37.948576 stepsize= 1.000000
+dualbound = 3082079.122872, lowerbound=1223354.122872, norm of subgrad 1106.635497 dualbound = 3082079.122872, lowerbound=1223354.122872, norm of subgrad 37.807779 stepsize= 1.000000
+dualbound = 3082178.406547, lowerbound=1222826.406547, norm of subgrad 1106.449911 dualbound = 3082178.406547, lowerbound=1222826.406547, norm of subgrad 38.785096 stepsize= 1.000000
+dualbound = 3082267.631282, lowerbound=1228955.631282, norm of subgrad 1109.199996 dualbound = 3082267.631282, lowerbound=1228955.631282, norm of subgrad 38.186709 stepsize= 1.000000
+dualbound = 3082417.734974, lowerbound=1229765.734974, norm of subgrad 1109.552493 dualbound = 3082417.734974, lowerbound=1229765.734974, norm of subgrad 38.614812 stepsize= 1.000000
+dualbound = 3082542.551970, lowerbound=1224169.551970, norm of subgrad 1107.043609 dualbound = 3082542.551970, lowerbound=1224169.551970, norm of subgrad 38.740379 stepsize= 1.000000
+dualbound = 3082648.736980, lowerbound=1224300.736980, norm of subgrad 1107.076663 dualbound = 3082648.736980, lowerbound=1224300.736980, norm of subgrad 37.738376 stepsize= 1.000000
+dualbound = 3082796.325706, lowerbound=1227595.325706, norm of subgrad 1108.560926 dualbound = 3082796.325706, lowerbound=1227595.325706, norm of subgrad 38.204564 stepsize= 1.000000
+dualbound = 3082887.348887, lowerbound=1227158.348887, norm of subgrad 1108.383665 dualbound = 3082887.348887, lowerbound=1227158.348887, norm of subgrad 38.039758 stepsize= 1.000000
+dualbound = 3082989.764934, lowerbound=1227788.764934, norm of subgrad 1108.700034 dualbound = 3082989.764934, lowerbound=1227788.764934, norm of subgrad 39.107749 stepsize= 1.000000
+dualbound = 3083102.752102, lowerbound=1226348.752102, norm of subgrad 1108.012975 dualbound = 3083102.752102, lowerbound=1226348.752102, norm of subgrad 38.170501 stepsize= 1.000000
+dualbound = 3083217.447625, lowerbound=1222868.447625, norm of subgrad 1106.465746 dualbound = 3083217.447625, lowerbound=1222868.447625, norm of subgrad 38.893387 stepsize= 1.000000
+dualbound = 3083312.358415, lowerbound=1225358.358415, norm of subgrad 1107.594402 dualbound = 3083312.358415, lowerbound=1225358.358415, norm of subgrad 38.754494 stepsize= 1.000000
+dualbound = 3083475.573734, lowerbound=1225934.573734, norm of subgrad 1107.812969 dualbound = 3083475.573734, lowerbound=1225934.573734, norm of subgrad 38.447566 stepsize= 1.000000
+dualbound = 3083561.511942, lowerbound=1227712.511942, norm of subgrad 1108.663390 dualbound = 3083561.511942, lowerbound=1227712.511942, norm of subgrad 38.832180 stepsize= 1.000000
+dualbound = 3083683.648966, lowerbound=1226496.648966, norm of subgrad 1108.079261 dualbound = 3083683.648966, lowerbound=1226496.648966, norm of subgrad 38.277108 stepsize= 1.000000
+dualbound = 3083809.428859, lowerbound=1226535.428859, norm of subgrad 1108.123382 dualbound = 3083809.428859, lowerbound=1226535.428859, norm of subgrad 39.086825 stepsize= 1.000000
+dualbound = 3083892.358156, lowerbound=1225325.358156, norm of subgrad 1107.580859 dualbound = 3083892.358156, lowerbound=1225325.358156, norm of subgrad 38.638443 stepsize= 1.000000
+dualbound = 3084027.612935, lowerbound=1221735.612935, norm of subgrad 1105.946478 dualbound = 3084027.612935, lowerbound=1221735.612935, norm of subgrad 38.951955 stepsize= 1.000000
+dualbound = 3084147.332971, lowerbound=1230659.332971, norm of subgrad 1109.937085 dualbound = 3084147.332971, lowerbound=1230659.332971, norm of subgrad 37.692440 stepsize= 1.000000
+dualbound = 3084268.238044, lowerbound=1224214.238044, norm of subgrad 1107.020433 dualbound = 3084268.238044, lowerbound=1224214.238044, norm of subgrad 37.428666 stepsize= 1.000000
+dualbound = 3084415.160135, lowerbound=1225933.160135, norm of subgrad 1107.796985 dualbound = 3084415.160135, lowerbound=1225933.160135, norm of subgrad 37.787856 stepsize= 1.000000
+dualbound = 3084521.246997, lowerbound=1226780.246997, norm of subgrad 1108.184212 dualbound = 3084521.246997, lowerbound=1226780.246997, norm of subgrad 37.391000 stepsize= 1.000000
+dualbound = 3084633.174489, lowerbound=1224943.174489, norm of subgrad 1107.360454 dualbound = 3084633.174489, lowerbound=1224943.174489, norm of subgrad 37.628812 stepsize= 1.000000
+dualbound = 3084721.951163, lowerbound=1229261.951163, norm of subgrad 1109.315983 dualbound = 3084721.951163, lowerbound=1229261.951163, norm of subgrad 37.533674 stepsize= 1.000000
+dualbound = 3084858.042751, lowerbound=1225536.042751, norm of subgrad 1107.658360 dualbound = 3084858.042751, lowerbound=1225536.042751, norm of subgrad 38.821278 stepsize= 1.000000
+dualbound = 3084945.281901, lowerbound=1220942.281901, norm of subgrad 1105.609914 dualbound = 3084945.281901, lowerbound=1220942.281901, norm of subgrad 38.964588 stepsize= 1.000000
+dualbound = 3085072.691550, lowerbound=1227255.691550, norm of subgrad 1108.418103 dualbound = 3085072.691550, lowerbound=1227255.691550, norm of subgrad 38.241465 stepsize= 1.000000
+dualbound = 3085194.124942, lowerbound=1226288.124942, norm of subgrad 1108.003666 dualbound = 3085194.124942, lowerbound=1226288.124942, norm of subgrad 38.799915 stepsize= 1.000000
+dualbound = 3085290.278182, lowerbound=1225803.278182, norm of subgrad 1107.792976 dualbound = 3085290.278182, lowerbound=1225803.278182, norm of subgrad 38.705985 stepsize= 1.000000
+dualbound = 3085415.590961, lowerbound=1227863.590961, norm of subgrad 1108.707171 dualbound = 3085415.590961, lowerbound=1227863.590961, norm of subgrad 38.643405 stepsize= 1.000000
+dualbound = 3085542.893055, lowerbound=1228923.893055, norm of subgrad 1109.167658 dualbound = 3085542.893055, lowerbound=1228923.893055, norm of subgrad 38.161526 stepsize= 1.000000
+dualbound = 3085656.977192, lowerbound=1229515.977192, norm of subgrad 1109.434981 dualbound = 3085656.977192, lowerbound=1229515.977192, norm of subgrad 38.001107 stepsize= 1.000000
+dualbound = 3085777.980905, lowerbound=1224716.980905, norm of subgrad 1107.274573 dualbound = 3085777.980905, lowerbound=1224716.980905, norm of subgrad 38.223078 stepsize= 1.000000
+dualbound = 3085872.153902, lowerbound=1223192.153902, norm of subgrad 1106.593039 dualbound = 3085872.153902, lowerbound=1223192.153902, norm of subgrad 38.081137 stepsize= 1.000000
+dualbound = 3086004.915449, lowerbound=1225004.915449, norm of subgrad 1107.394201 dualbound = 3086004.915449, lowerbound=1225004.915449, norm of subgrad 38.075734 stepsize= 1.000000
+dualbound = 3086104.822496, lowerbound=1228270.822496, norm of subgrad 1108.907941 dualbound = 3086104.822496, lowerbound=1228270.822496, norm of subgrad 38.806018 stepsize= 1.000000
+dualbound = 3086207.614260, lowerbound=1225144.614260, norm of subgrad 1107.516417 dualbound = 3086207.614260, lowerbound=1225144.614260, norm of subgrad 39.380093 stepsize= 1.000000
+dualbound = 3086332.865010, lowerbound=1221735.865010, norm of subgrad 1105.944784 dualbound = 3086332.865010, lowerbound=1221735.865010, norm of subgrad 38.771778 stepsize= 1.000000
+dualbound = 3086481.991504, lowerbound=1224698.991504, norm of subgrad 1107.256064 dualbound = 3086481.991504, lowerbound=1224698.991504, norm of subgrad 38.290031 stepsize= 1.000000
+dualbound = 3086577.741561, lowerbound=1225824.741561, norm of subgrad 1107.787318 dualbound = 3086577.741561, lowerbound=1225824.741561, norm of subgrad 38.258987 stepsize= 1.000000
+dualbound = 3086697.107703, lowerbound=1231654.107703, norm of subgrad 1110.395924 dualbound = 3086697.107703, lowerbound=1231654.107703, norm of subgrad 38.004817 stepsize= 1.000000
+dualbound = 3086801.923728, lowerbound=1225654.923728, norm of subgrad 1107.736848 dualbound = 3086801.923728, lowerbound=1225654.923728, norm of subgrad 39.125644 stepsize= 1.000000
+dualbound = 3086916.664271, lowerbound=1231202.664271, norm of subgrad 1110.210189 dualbound = 3086916.664271, lowerbound=1231202.664271, norm of subgrad 38.454396 stepsize= 1.000000
+dualbound = 3087039.914926, lowerbound=1220298.914926, norm of subgrad 1105.272779 dualbound = 3087039.914926, lowerbound=1220298.914926, norm of subgrad 38.108407 stepsize= 1.000000
+dualbound = 3087170.948815, lowerbound=1230571.948815, norm of subgrad 1109.928353 dualbound = 3087170.948815, lowerbound=1230571.948815, norm of subgrad 38.730271 stepsize= 1.000000
+dualbound = 3087253.751213, lowerbound=1231681.751213, norm of subgrad 1110.419628 dualbound = 3087253.751213, lowerbound=1231681.751213, norm of subgrad 37.852376 stepsize= 1.000000
+dualbound = 3087386.818173, lowerbound=1228211.818173, norm of subgrad 1108.862849 dualbound = 3087386.818173, lowerbound=1228211.818173, norm of subgrad 38.704870 stepsize= 1.000000
+dualbound = 3087477.720161, lowerbound=1223120.720161, norm of subgrad 1106.576577 dualbound = 3087477.720161, lowerbound=1223120.720161, norm of subgrad 38.495480 stepsize= 1.000000
+dualbound = 3087606.796399, lowerbound=1224933.796399, norm of subgrad 1107.408595 dualbound = 3087606.796399, lowerbound=1224933.796399, norm of subgrad 39.358306 stepsize= 1.000000
+dualbound = 3087724.611104, lowerbound=1228457.611104, norm of subgrad 1108.973224 dualbound = 3087724.611104, lowerbound=1228457.611104, norm of subgrad 38.494346 stepsize= 1.000000
+dualbound = 3087841.594742, lowerbound=1225097.594742, norm of subgrad 1107.465392 dualbound = 3087841.594742, lowerbound=1225097.594742, norm of subgrad 38.716710 stepsize= 1.000000
+dualbound = 3087978.332818, lowerbound=1225335.332818, norm of subgrad 1107.540217 dualbound = 3087978.332818, lowerbound=1225335.332818, norm of subgrad 38.036010 stepsize= 1.000000
+dualbound = 3088069.358553, lowerbound=1224092.358553, norm of subgrad 1107.029069 dualbound = 3088069.358553, lowerbound=1224092.358553, norm of subgrad 38.884775 stepsize= 1.000000
+dualbound = 3088178.996274, lowerbound=1225881.996274, norm of subgrad 1107.821284 dualbound = 3088178.996274, lowerbound=1225881.996274, norm of subgrad 38.673476 stepsize= 1.000000
+dualbound = 3088319.337293, lowerbound=1228199.337293, norm of subgrad 1108.825206 dualbound = 3088319.337293, lowerbound=1228199.337293, norm of subgrad 37.872695 stepsize= 1.000000
+dualbound = 3088458.535934, lowerbound=1224654.535934, norm of subgrad 1107.260374 dualbound = 3088458.535934, lowerbound=1224654.535934, norm of subgrad 38.861274 stepsize= 1.000000
+dualbound = 3088517.330165, lowerbound=1226776.330165, norm of subgrad 1108.218539 dualbound = 3088517.330165, lowerbound=1226776.330165, norm of subgrad 37.825841 stepsize= 1.000000
+dualbound = 3088659.950875, lowerbound=1227483.950875, norm of subgrad 1108.503474 dualbound = 3088659.950875, lowerbound=1227483.950875, norm of subgrad 37.929154 stepsize= 1.000000
+dualbound = 3088825.652855, lowerbound=1230219.652855, norm of subgrad 1109.745310 dualbound = 3088825.652855, lowerbound=1230219.652855, norm of subgrad 38.479891 stepsize= 1.000000
+dualbound = 3088878.133360, lowerbound=1228129.133360, norm of subgrad 1108.821507 dualbound = 3088878.133360, lowerbound=1228129.133360, norm of subgrad 37.529728 stepsize= 1.000000
+dualbound = 3089009.197064, lowerbound=1224592.197064, norm of subgrad 1107.191129 dualbound = 3089009.197064, lowerbound=1224592.197064, norm of subgrad 37.564128 stepsize= 1.000000
+dualbound = 3089115.097010, lowerbound=1227087.097010, norm of subgrad 1108.350169 dualbound = 3089115.097010, lowerbound=1227087.097010, norm of subgrad 38.195549 stepsize= 1.000000
+dualbound = 3089248.354129, lowerbound=1222750.354129, norm of subgrad 1106.379390 dualbound = 3089248.354129, lowerbound=1222750.354129, norm of subgrad 38.187133 stepsize= 1.000000
+dualbound = 3089353.443188, lowerbound=1225945.443188, norm of subgrad 1107.827804 dualbound = 3089353.443188, lowerbound=1225945.443188, norm of subgrad 37.974848 stepsize= 1.000000
+dualbound = 3089458.833502, lowerbound=1225076.833502, norm of subgrad 1107.453310 dualbound = 3089458.833502, lowerbound=1225076.833502, norm of subgrad 38.488834 stepsize= 1.000000
+dualbound = 3089563.195054, lowerbound=1228592.195054, norm of subgrad 1109.050132 dualbound = 3089563.195054, lowerbound=1228592.195054, norm of subgrad 38.786100 stepsize= 1.000000
+dualbound = 3089695.407046, lowerbound=1229315.407046, norm of subgrad 1109.351796 dualbound = 3089695.407046, lowerbound=1229315.407046, norm of subgrad 38.447523 stepsize= 1.000000
+dualbound = 3089821.796100, lowerbound=1222968.796100, norm of subgrad 1106.475393 dualbound = 3089821.796100, lowerbound=1222968.796100, norm of subgrad 38.018273 stepsize= 1.000000
+dualbound = 3089936.908357, lowerbound=1225933.908357, norm of subgrad 1107.832527 dualbound = 3089936.908357, lowerbound=1225933.908357, norm of subgrad 38.394170 stepsize= 1.000000
+dualbound = 3090028.764565, lowerbound=1230921.764565, norm of subgrad 1110.065207 dualbound = 3090028.764565, lowerbound=1230921.764565, norm of subgrad 37.614574 stepsize= 1.000000
+dualbound = 3090181.293160, lowerbound=1221738.293160, norm of subgrad 1105.921920 dualbound = 3090181.293160, lowerbound=1221738.293160, norm of subgrad 38.438634 stepsize= 1.000000
+dualbound = 3090255.084370, lowerbound=1227301.084370, norm of subgrad 1108.452563 dualbound = 3090255.084370, lowerbound=1227301.084370, norm of subgrad 37.944581 stepsize= 1.000000
+dualbound = 3090382.221100, lowerbound=1225579.221100, norm of subgrad 1107.688684 dualbound = 3090382.221100, lowerbound=1225579.221100, norm of subgrad 39.014571 stepsize= 1.000000
+dualbound = 3090463.952847, lowerbound=1230188.952847, norm of subgrad 1109.754907 dualbound = 3090463.952847, lowerbound=1230188.952847, norm of subgrad 38.062209 stepsize= 1.000000
+dualbound = 3090622.320128, lowerbound=1228998.320128, norm of subgrad 1109.228705 dualbound = 3090622.320128, lowerbound=1228998.320128, norm of subgrad 39.349298 stepsize= 1.000000
+dualbound = 3090701.758537, lowerbound=1225508.758537, norm of subgrad 1107.660940 dualbound = 3090701.758537, lowerbound=1225508.758537, norm of subgrad 38.515431 stepsize= 1.000000
+dualbound = 3090838.280924, lowerbound=1224930.280924, norm of subgrad 1107.380369 dualbound = 3090838.280924, lowerbound=1224930.280924, norm of subgrad 38.697834 stepsize= 1.000000
+dualbound = 3090946.710932, lowerbound=1227236.710932, norm of subgrad 1108.428938 dualbound = 3090946.710932, lowerbound=1227236.710932, norm of subgrad 38.554248 stepsize= 1.000000
+dualbound = 3091081.930714, lowerbound=1224486.930714, norm of subgrad 1107.193267 dualbound = 3091081.930714, lowerbound=1224486.930714, norm of subgrad 39.054062 stepsize= 1.000000
+dualbound = 3091165.902713, lowerbound=1225334.902713, norm of subgrad 1107.586522 dualbound = 3091165.902713, lowerbound=1225334.902713, norm of subgrad 38.690722 stepsize= 1.000000
+dualbound = 3091299.134075, lowerbound=1225099.134075, norm of subgrad 1107.452994 dualbound = 3091299.134075, lowerbound=1225099.134075, norm of subgrad 38.551671 stepsize= 1.000000
+dualbound = 3091435.624740, lowerbound=1227177.624740, norm of subgrad 1108.414013 dualbound = 3091435.624740, lowerbound=1227177.624740, norm of subgrad 39.249085 stepsize= 1.000000
+dualbound = 3091518.506665, lowerbound=1226466.506665, norm of subgrad 1108.090026 dualbound = 3091518.506665, lowerbound=1226466.506665, norm of subgrad 38.469233 stepsize= 1.000000
+dualbound = 3091637.927902, lowerbound=1220113.927902, norm of subgrad 1105.204021 dualbound = 3091637.927902, lowerbound=1220113.927902, norm of subgrad 38.489235 stepsize= 1.000000
+dualbound = 3091748.121989, lowerbound=1226504.121989, norm of subgrad 1108.074060 dualbound = 3091748.121989, lowerbound=1226504.121989, norm of subgrad 37.870755 stepsize= 1.000000
+dualbound = 3091896.850628, lowerbound=1227784.850628, norm of subgrad 1108.664896 dualbound = 3091896.850628, lowerbound=1227784.850628, norm of subgrad 38.752144 stepsize= 1.000000
+dualbound = 3092001.907031, lowerbound=1226520.907031, norm of subgrad 1108.093366 dualbound = 3092001.907031, lowerbound=1226520.907031, norm of subgrad 38.145202 stepsize= 1.000000
+dualbound = 3092078.732822, lowerbound=1227952.732822, norm of subgrad 1108.762253 dualbound = 3092078.732822, lowerbound=1227952.732822, norm of subgrad 38.442500 stepsize= 1.000000
+dualbound = 3092237.990924, lowerbound=1228825.990924, norm of subgrad 1109.119016 dualbound = 3092237.990924, lowerbound=1228825.990924, norm of subgrad 38.448122 stepsize= 1.000000
+dualbound = 3092337.366063, lowerbound=1225589.366063, norm of subgrad 1107.675208 dualbound = 3092337.366063, lowerbound=1225589.366063, norm of subgrad 38.136271 stepsize= 1.000000
+dualbound = 3092473.294576, lowerbound=1226619.294576, norm of subgrad 1108.146333 dualbound = 3092473.294576, lowerbound=1226619.294576, norm of subgrad 38.793408 stepsize= 1.000000
+dualbound = 3092541.939648, lowerbound=1227401.939648, norm of subgrad 1108.531434 dualbound = 3092541.939648, lowerbound=1227401.939648, norm of subgrad 38.841281 stepsize= 1.000000
+dualbound = 3092705.844027, lowerbound=1228040.844027, norm of subgrad 1108.759146 dualbound = 3092705.844027, lowerbound=1228040.844027, norm of subgrad 38.339332 stepsize= 1.000000
+dualbound = 3092805.636721, lowerbound=1226105.636721, norm of subgrad 1107.900554 dualbound = 3092805.636721, lowerbound=1226105.636721, norm of subgrad 37.918237 stepsize= 1.000000
+dualbound = 3092931.551201, lowerbound=1225127.551201, norm of subgrad 1107.463115 dualbound = 3092931.551201, lowerbound=1225127.551201, norm of subgrad 38.378568 stepsize= 1.000000
+dualbound = 3093031.708271, lowerbound=1227524.708271, norm of subgrad 1108.543959 dualbound = 3093031.708271, lowerbound=1227524.708271, norm of subgrad 38.015222 stepsize= 1.000000
+dualbound = 3093154.609614, lowerbound=1232703.609614, norm of subgrad 1110.859851 dualbound = 3093154.609614, lowerbound=1232703.609614, norm of subgrad 37.800811 stepsize= 1.000000
+dualbound = 3093260.290360, lowerbound=1225272.290360, norm of subgrad 1107.514917 dualbound = 3093260.290360, lowerbound=1225272.290360, norm of subgrad 37.718440 stepsize= 1.000000
+dualbound = 3093396.069522, lowerbound=1231670.069522, norm of subgrad 1110.383298 dualbound = 3093396.069522, lowerbound=1231670.069522, norm of subgrad 37.640127 stepsize= 1.000000
+dualbound = 3093496.345928, lowerbound=1227741.345928, norm of subgrad 1108.656550 dualbound = 3093496.345928, lowerbound=1227741.345928, norm of subgrad 38.448360 stepsize= 1.000000
+dualbound = 3093591.045686, lowerbound=1226502.045686, norm of subgrad 1108.106965 dualbound = 3093591.045686, lowerbound=1226502.045686, norm of subgrad 38.648412 stepsize= 1.000000
+dualbound = 3093685.810034, lowerbound=1225753.810034, norm of subgrad 1107.793216 dualbound = 3093685.810034, lowerbound=1225753.810034, norm of subgrad 39.328925 stepsize= 1.000000
+dualbound = 3093817.555657, lowerbound=1228843.555657, norm of subgrad 1109.150376 dualbound = 3093817.555657, lowerbound=1228843.555657, norm of subgrad 38.765263 stepsize= 1.000000
+dualbound = 3093924.121673, lowerbound=1225980.121673, norm of subgrad 1107.875499 dualbound = 3093924.121673, lowerbound=1225980.121673, norm of subgrad 38.917426 stepsize= 1.000000
+dualbound = 3094046.006656, lowerbound=1230707.006656, norm of subgrad 1109.977030 dualbound = 3094046.006656, lowerbound=1230707.006656, norm of subgrad 38.260750 stepsize= 1.000000
+dualbound = 3094169.476585, lowerbound=1227906.476585, norm of subgrad 1108.713884 dualbound = 3094169.476585, lowerbound=1227906.476585, norm of subgrad 38.255325 stepsize= 1.000000
+dualbound = 3094303.425527, lowerbound=1229162.425527, norm of subgrad 1109.290956 dualbound = 3094303.425527, lowerbound=1229162.425527, norm of subgrad 38.703345 stepsize= 1.000000
+dualbound = 3094385.183442, lowerbound=1224738.183442, norm of subgrad 1107.279180 dualbound = 3094385.183442, lowerbound=1224738.183442, norm of subgrad 37.560057 stepsize= 1.000000
+dualbound = 3094525.476126, lowerbound=1227525.476126, norm of subgrad 1108.565053 dualbound = 3094525.476126, lowerbound=1227525.476126, norm of subgrad 39.131735 stepsize= 1.000000
+dualbound = 3094603.394017, lowerbound=1231383.394017, norm of subgrad 1110.266362 dualbound = 3094603.394017, lowerbound=1231383.394017, norm of subgrad 37.227918 stepsize= 1.000000
+dualbound = 3094785.359208, lowerbound=1230413.359208, norm of subgrad 1109.833483 dualbound = 3094785.359208, lowerbound=1230413.359208, norm of subgrad 38.716472 stepsize= 1.000000
+dualbound = 3094819.073070, lowerbound=1228264.073070, norm of subgrad 1108.933304 dualbound = 3094819.073070, lowerbound=1228264.073070, norm of subgrad 38.764853 stepsize= 1.000000
+dualbound = 3094955.441352, lowerbound=1229882.441352, norm of subgrad 1109.605534 dualbound = 3094955.441352, lowerbound=1229882.441352, norm of subgrad 38.449555 stepsize= 1.000000
+dualbound = 3095099.825614, lowerbound=1230386.825614, norm of subgrad 1109.844956 dualbound = 3095099.825614, lowerbound=1230386.825614, norm of subgrad 38.902240 stepsize= 1.000000
+dualbound = 3095203.175070, lowerbound=1230302.175070, norm of subgrad 1109.811324 dualbound = 3095203.175070, lowerbound=1230302.175070, norm of subgrad 38.501292 stepsize= 1.000000
+dualbound = 3095284.807882, lowerbound=1224338.807882, norm of subgrad 1107.148955 dualbound = 3095284.807882, lowerbound=1224338.807882, norm of subgrad 39.008112 stepsize= 1.000000
+dualbound = 3095415.001054, lowerbound=1229437.001054, norm of subgrad 1109.425978 dualbound = 3095415.001054, lowerbound=1229437.001054, norm of subgrad 38.976829 stepsize= 1.000000
+dualbound = 3095524.804357, lowerbound=1230538.804357, norm of subgrad 1109.928738 dualbound = 3095524.804357, lowerbound=1230538.804357, norm of subgrad 38.894772 stepsize= 1.000000
+dualbound = 3095663.825138, lowerbound=1228278.825138, norm of subgrad 1108.863303 dualbound = 3095663.825138, lowerbound=1228278.825138, norm of subgrad 37.921244 stepsize= 1.000000
+dualbound = 3095769.048781, lowerbound=1231308.048781, norm of subgrad 1110.244139 dualbound = 3095769.048781, lowerbound=1231308.048781, norm of subgrad 37.937101 stepsize= 1.000000
+dualbound = 3095905.791514, lowerbound=1228391.791514, norm of subgrad 1108.916043 dualbound = 3095905.791514, lowerbound=1228391.791514, norm of subgrad 37.943942 stepsize= 1.000000
+dualbound = 3096009.105584, lowerbound=1229334.105584, norm of subgrad 1109.346251 dualbound = 3096009.105584, lowerbound=1229334.105584, norm of subgrad 37.660511 stepsize= 1.000000
+dualbound = 3096132.410364, lowerbound=1229181.410364, norm of subgrad 1109.302218 dualbound = 3096132.410364, lowerbound=1229181.410364, norm of subgrad 38.643302 stepsize= 1.000000
+dualbound = 3096178.667214, lowerbound=1229803.667214, norm of subgrad 1109.611944 dualbound = 3096178.667214, lowerbound=1229803.667214, norm of subgrad 38.487100 stepsize= 1.000000
+dualbound = 3096342.201881, lowerbound=1228961.201881, norm of subgrad 1109.175460 dualbound = 3096342.201881, lowerbound=1228961.201881, norm of subgrad 38.373619 stepsize= 1.000000
+dualbound = 3096469.831228, lowerbound=1229950.831228, norm of subgrad 1109.639956 dualbound = 3096469.831228, lowerbound=1229950.831228, norm of subgrad 38.439945 stepsize= 1.000000
+dualbound = 3096561.352441, lowerbound=1227341.352441, norm of subgrad 1108.463059 dualbound = 3096561.352441, lowerbound=1227341.352441, norm of subgrad 37.954199 stepsize= 1.000000
+dualbound = 3096676.911366, lowerbound=1221843.911366, norm of subgrad 1105.981425 dualbound = 3096676.911366, lowerbound=1221843.911366, norm of subgrad 38.295678 stepsize= 1.000000
+dualbound = 3096792.493591, lowerbound=1231248.493591, norm of subgrad 1110.215517 dualbound = 3096792.493591, lowerbound=1231248.493591, norm of subgrad 38.020813 stepsize= 1.000000
+dualbound = 3096915.601888, lowerbound=1231511.601888, norm of subgrad 1110.336256 dualbound = 3096915.601888, lowerbound=1231511.601888, norm of subgrad 38.185184 stepsize= 1.000000
+dualbound = 3097045.919554, lowerbound=1230042.919554, norm of subgrad 1109.660723 dualbound = 3097045.919554, lowerbound=1230042.919554, norm of subgrad 37.872387 stepsize= 1.000000
+dualbound = 3097135.240089, lowerbound=1228809.240089, norm of subgrad 1109.128595 dualbound = 3097135.240089, lowerbound=1228809.240089, norm of subgrad 38.030521 stepsize= 1.000000
+dualbound = 3097264.681853, lowerbound=1229448.681853, norm of subgrad 1109.421778 dualbound = 3097264.681853, lowerbound=1229448.681853, norm of subgrad 38.696793 stepsize= 1.000000
+dualbound = 3097358.442890, lowerbound=1225179.442890, norm of subgrad 1107.504150 dualbound = 3097358.442890, lowerbound=1225179.442890, norm of subgrad 38.467662 stepsize= 1.000000
+dualbound = 3097484.636713, lowerbound=1231687.636713, norm of subgrad 1110.402466 dualbound = 3097484.636713, lowerbound=1231687.636713, norm of subgrad 37.844337 stepsize= 1.000000
+dualbound = 3097600.658268, lowerbound=1227176.658268, norm of subgrad 1108.388767 dualbound = 3097600.658268, lowerbound=1227176.658268, norm of subgrad 38.275600 stepsize= 1.000000
+dualbound = 3097715.454200, lowerbound=1228458.454200, norm of subgrad 1108.966390 dualbound = 3097715.454200, lowerbound=1228458.454200, norm of subgrad 38.246515 stepsize= 1.000000
+dualbound = 3097833.595433, lowerbound=1235771.595433, norm of subgrad 1112.274065 dualbound = 3097833.595433, lowerbound=1235771.595433, norm of subgrad 38.731657 stepsize= 1.000000
+dualbound = 3097923.134969, lowerbound=1226490.134969, norm of subgrad 1108.074066 dualbound = 3097923.134969, lowerbound=1226490.134969, norm of subgrad 37.782794 stepsize= 1.000000
+dualbound = 3098064.499086, lowerbound=1231540.499086, norm of subgrad 1110.339812 dualbound = 3098064.499086, lowerbound=1231540.499086, norm of subgrad 38.149235 stepsize= 1.000000
+dualbound = 3098154.292376, lowerbound=1227906.292376, norm of subgrad 1108.749427 dualbound = 3098154.292376, lowerbound=1227906.292376, norm of subgrad 38.843188 stepsize= 1.000000
+dualbound = 3098257.822797, lowerbound=1226616.822797, norm of subgrad 1108.165070 dualbound = 3098257.822797, lowerbound=1226616.822797, norm of subgrad 38.942656 stepsize= 1.000000
+dualbound = 3098369.438148, lowerbound=1229387.438148, norm of subgrad 1109.418514 dualbound = 3098369.438148, lowerbound=1229387.438148, norm of subgrad 39.161401 stepsize= 1.000000
+dualbound = 3098515.797173, lowerbound=1232580.797173, norm of subgrad 1110.850484 dualbound = 3098515.797173, lowerbound=1232580.797173, norm of subgrad 39.425360 stepsize= 1.000000
+dualbound = 3098614.643409, lowerbound=1227706.643409, norm of subgrad 1108.621055 dualbound = 3098614.643409, lowerbound=1227706.643409, norm of subgrad 37.852955 stepsize= 1.000000
+dualbound = 3098740.394992, lowerbound=1231731.394992, norm of subgrad 1110.421269 dualbound = 3098740.394992, lowerbound=1231731.394992, norm of subgrad 37.812056 stepsize= 1.000000
+dualbound = 3098866.146695, lowerbound=1229796.146695, norm of subgrad 1109.549975 dualbound = 3098866.146695, lowerbound=1229796.146695, norm of subgrad 37.825279 stepsize= 1.000000
+dualbound = 3098954.847818, lowerbound=1227172.847818, norm of subgrad 1108.380281 dualbound = 3098954.847818, lowerbound=1227172.847818, norm of subgrad 37.718711 stepsize= 1.000000
+dualbound = 3099066.717265, lowerbound=1234209.717265, norm of subgrad 1111.564536 dualbound = 3099066.717265, lowerbound=1234209.717265, norm of subgrad 38.443068 stepsize= 1.000000
+dualbound = 3099201.794076, lowerbound=1226737.794076, norm of subgrad 1108.170020 dualbound = 3099201.794076, lowerbound=1226737.794076, norm of subgrad 37.921983 stepsize= 1.000000
+dualbound = 3099298.328266, lowerbound=1226277.328266, norm of subgrad 1107.963595 dualbound = 3099298.328266, lowerbound=1226277.328266, norm of subgrad 37.450423 stepsize= 1.000000
+dualbound = 3099416.172159, lowerbound=1233877.172159, norm of subgrad 1111.375352 dualbound = 3099416.172159, lowerbound=1233877.172159, norm of subgrad 37.360994 stepsize= 1.000000
+dualbound = 3099560.466655, lowerbound=1224075.466655, norm of subgrad 1106.975820 dualbound = 3099560.466655, lowerbound=1224075.466655, norm of subgrad 38.266101 stepsize= 1.000000
+dualbound = 3099629.878443, lowerbound=1234111.878443, norm of subgrad 1111.503881 dualbound = 3099629.878443, lowerbound=1234111.878443, norm of subgrad 37.395344 stepsize= 1.000000
+dualbound = 3099756.901698, lowerbound=1230558.901698, norm of subgrad 1109.906258 dualbound = 3099756.901698, lowerbound=1230558.901698, norm of subgrad 38.210251 stepsize= 1.000000
+dualbound = 3099862.002917, lowerbound=1231612.002917, norm of subgrad 1110.423794 dualbound = 3099862.002917, lowerbound=1231612.002917, norm of subgrad 39.167604 stepsize= 1.000000
+dualbound = 3099954.307578, lowerbound=1232025.307578, norm of subgrad 1110.589171 dualbound = 3099954.307578, lowerbound=1232025.307578, norm of subgrad 38.409695 stepsize= 1.000000
+dualbound = 3100096.388907, lowerbound=1224594.388907, norm of subgrad 1107.250825 dualbound = 3100096.388907, lowerbound=1224594.388907, norm of subgrad 39.396463 stepsize= 1.000000
+dualbound = 3100193.838611, lowerbound=1234271.838611, norm of subgrad 1111.622615 dualbound = 3100193.838611, lowerbound=1234271.838611, norm of subgrad 39.120962 stepsize= 1.000000
+dualbound = 3100323.646161, lowerbound=1230746.646161, norm of subgrad 1110.009300 dualbound = 3100323.646161, lowerbound=1230746.646161, norm of subgrad 38.778958 stepsize= 1.000000
+dualbound = 3100421.789792, lowerbound=1227683.789792, norm of subgrad 1108.615709 dualbound = 3100421.789792, lowerbound=1227683.789792, norm of subgrad 37.988730 stepsize= 1.000000
+dualbound = 3100557.932391, lowerbound=1228934.932391, norm of subgrad 1109.189313 dualbound = 3100557.932391, lowerbound=1228934.932391, norm of subgrad 38.757484 stepsize= 1.000000
+dualbound = 3100664.889524, lowerbound=1225577.889524, norm of subgrad 1107.653777 dualbound = 3100664.889524, lowerbound=1225577.889524, norm of subgrad 37.761848 stepsize= 1.000000
+dualbound = 3100782.920191, lowerbound=1233109.920191, norm of subgrad 1111.059818 dualbound = 3100782.920191, lowerbound=1233109.920191, norm of subgrad 38.236510 stepsize= 1.000000
+dualbound = 3100896.695992, lowerbound=1226686.695992, norm of subgrad 1108.146514 dualbound = 3100896.695992, lowerbound=1226686.695992, norm of subgrad 37.626796 stepsize= 1.000000
+dualbound = 3101019.293072, lowerbound=1228611.293072, norm of subgrad 1109.044766 dualbound = 3101019.293072, lowerbound=1228611.293072, norm of subgrad 38.621200 stepsize= 1.000000
+dualbound = 3101119.528944, lowerbound=1229104.528944, norm of subgrad 1109.244576 dualbound = 3101119.528944, lowerbound=1229104.528944, norm of subgrad 37.672747 stepsize= 1.000000
+dualbound = 3101245.470440, lowerbound=1226118.470440, norm of subgrad 1107.907248 dualbound = 3101245.470440, lowerbound=1226118.470440, norm of subgrad 38.287615 stepsize= 1.000000
+dualbound = 3101343.889793, lowerbound=1236041.889793, norm of subgrad 1112.376236 dualbound = 3101343.889793, lowerbound=1236041.889793, norm of subgrad 37.913314 stepsize= 1.000000
+dualbound = 3101449.947176, lowerbound=1227385.947176, norm of subgrad 1108.497157 dualbound = 3101449.947176, lowerbound=1227385.947176, norm of subgrad 38.549415 stepsize= 1.000000
+dualbound = 3101573.196497, lowerbound=1232376.196497, norm of subgrad 1110.729128 dualbound = 3101573.196497, lowerbound=1232376.196497, norm of subgrad 38.291635 stepsize= 1.000000
+dualbound = 3101683.481061, lowerbound=1225280.481061, norm of subgrad 1107.546604 dualbound = 3101683.481061, lowerbound=1225280.481061, norm of subgrad 38.591250 stepsize= 1.000000
+dualbound = 3101791.935508, lowerbound=1233959.935508, norm of subgrad 1111.453524 dualbound = 3101791.935508, lowerbound=1233959.935508, norm of subgrad 38.437670 stepsize= 1.000000
+dualbound = 3101905.175255, lowerbound=1223803.175255, norm of subgrad 1106.877218 dualbound = 3101905.175255, lowerbound=1223803.175255, norm of subgrad 38.564747 stepsize= 1.000000
+dualbound = 3102005.424250, lowerbound=1232081.424250, norm of subgrad 1110.632894 dualbound = 3102005.424250, lowerbound=1232081.424250, norm of subgrad 39.041632 stepsize= 1.000000
+dualbound = 3102116.039635, lowerbound=1231077.039635, norm of subgrad 1110.169374 dualbound = 3102116.039635, lowerbound=1231077.039635, norm of subgrad 38.853769 stepsize= 1.000000
+dualbound = 3102253.400195, lowerbound=1231008.400195, norm of subgrad 1110.110986 dualbound = 3102253.400195, lowerbound=1231008.400195, norm of subgrad 38.410423 stepsize= 1.000000
+dualbound = 3102361.316868, lowerbound=1230122.316868, norm of subgrad 1109.729840 dualbound = 3102361.316868, lowerbound=1230122.316868, norm of subgrad 38.547590 stepsize= 1.000000
+dualbound = 3102495.848479, lowerbound=1228412.848479, norm of subgrad 1108.964313 dualbound = 3102495.848479, lowerbound=1228412.848479, norm of subgrad 39.032443 stepsize= 1.000000
+dualbound = 3102576.701669, lowerbound=1227389.701669, norm of subgrad 1108.500204 dualbound = 3102576.701669, lowerbound=1227389.701669, norm of subgrad 38.260334 stepsize= 1.000000
+dualbound = 3102732.052190, lowerbound=1232526.052190, norm of subgrad 1110.796585 dualbound = 3102732.052190, lowerbound=1232526.052190, norm of subgrad 38.708533 stepsize= 1.000000
+dualbound = 3102820.287207, lowerbound=1233279.287207, norm of subgrad 1111.150884 dualbound = 3102820.287207, lowerbound=1233279.287207, norm of subgrad 38.278388 stepsize= 1.000000
+dualbound = 3102948.012825, lowerbound=1230966.012825, norm of subgrad 1110.088741 dualbound = 3102948.012825, lowerbound=1230966.012825, norm of subgrad 38.193267 stepsize= 1.000000
+dualbound = 3103044.770945, lowerbound=1231085.770945, norm of subgrad 1110.182765 dualbound = 3103044.770945, lowerbound=1231085.770945, norm of subgrad 38.945579 stepsize= 1.000000
+dualbound = 3103151.456518, lowerbound=1231221.456518, norm of subgrad 1110.236667 dualbound = 3103151.456518, lowerbound=1231221.456518, norm of subgrad 38.867539 stepsize= 1.000000
+dualbound = 3103248.351708, lowerbound=1231824.351708, norm of subgrad 1110.511752 dualbound = 3103248.351708, lowerbound=1231824.351708, norm of subgrad 38.844500 stepsize= 1.000000
+dualbound = 3103396.242248, lowerbound=1228708.242248, norm of subgrad 1109.049251 dualbound = 3103396.242248, lowerbound=1228708.242248, norm of subgrad 37.813893 stepsize= 1.000000
+dualbound = 3103520.542358, lowerbound=1231101.542358, norm of subgrad 1110.143478 dualbound = 3103520.542358, lowerbound=1231101.542358, norm of subgrad 37.964459 stepsize= 1.000000
+dualbound = 3103635.388919, lowerbound=1227265.388919, norm of subgrad 1108.407592 dualbound = 3103635.388919, lowerbound=1227265.388919, norm of subgrad 37.641022 stepsize= 1.000000
+dualbound = 3103728.666252, lowerbound=1227861.666252, norm of subgrad 1108.672930 dualbound = 3103728.666252, lowerbound=1227861.666252, norm of subgrad 37.246172 stepsize= 1.000000
+dualbound = 3103854.961131, lowerbound=1232648.961131, norm of subgrad 1110.814999 dualbound = 3103854.961131, lowerbound=1232648.961131, norm of subgrad 37.246408 stepsize= 1.000000
+dualbound = 3103980.823977, lowerbound=1223917.823977, norm of subgrad 1106.891514 dualbound = 3103980.823977, lowerbound=1223917.823977, norm of subgrad 37.641239 stepsize= 1.000000
+dualbound = 3104084.475101, lowerbound=1231807.475101, norm of subgrad 1110.475788 dualbound = 3104084.475101, lowerbound=1231807.475101, norm of subgrad 38.113661 stepsize= 1.000000
+dualbound = 3104198.413142, lowerbound=1231995.413142, norm of subgrad 1110.548699 dualbound = 3104198.413142, lowerbound=1231995.413142, norm of subgrad 37.906966 stepsize= 1.000000
+dualbound = 3104305.465839, lowerbound=1228006.465839, norm of subgrad 1108.777915 dualbound = 3104305.465839, lowerbound=1228006.465839, norm of subgrad 38.588246 stepsize= 1.000000
+dualbound = 3104406.701584, lowerbound=1229059.701584, norm of subgrad 1109.260881 dualbound = 3104406.701584, lowerbound=1229059.701584, norm of subgrad 38.745784 stepsize= 1.000000
+dualbound = 3104529.698515, lowerbound=1232682.698515, norm of subgrad 1110.887797 dualbound = 3104529.698515, lowerbound=1232682.698515, norm of subgrad 38.884405 stepsize= 1.000000
+dualbound = 3104639.468658, lowerbound=1227811.468658, norm of subgrad 1108.712978 dualbound = 3104639.468658, lowerbound=1227811.468658, norm of subgrad 39.278113 stepsize= 1.000000
+dualbound = 3104742.924829, lowerbound=1227494.924829, norm of subgrad 1108.545860 dualbound = 3104742.924829, lowerbound=1227494.924829, norm of subgrad 38.502677 stepsize= 1.000000
+dualbound = 3104867.587526, lowerbound=1229577.587526, norm of subgrad 1109.500603 dualbound = 3104867.587526, lowerbound=1229577.587526, norm of subgrad 39.225791 stepsize= 1.000000
+dualbound = 3104961.440996, lowerbound=1231222.440996, norm of subgrad 1110.247919 dualbound = 3104961.440996, lowerbound=1231222.440996, norm of subgrad 39.010940 stepsize= 1.000000
+dualbound = 3105094.698174, lowerbound=1236182.698174, norm of subgrad 1112.454807 dualbound = 3105094.698174, lowerbound=1236182.698174, norm of subgrad 38.810529 stepsize= 1.000000
+dualbound = 3105214.455682, lowerbound=1227130.455682, norm of subgrad 1108.379202 dualbound = 3105214.455682, lowerbound=1227130.455682, norm of subgrad 38.649159 stepsize= 1.000000
+dualbound = 3105321.075277, lowerbound=1231559.075277, norm of subgrad 1110.371593 dualbound = 3105321.075277, lowerbound=1231559.075277, norm of subgrad 38.374726 stepsize= 1.000000
+dualbound = 3105444.163175, lowerbound=1230863.163175, norm of subgrad 1110.037460 dualbound = 3105444.163175, lowerbound=1230863.163175, norm of subgrad 37.987997 stepsize= 1.000000
+dualbound = 3105569.256791, lowerbound=1228520.256791, norm of subgrad 1108.988844 dualbound = 3105569.256791, lowerbound=1228520.256791, norm of subgrad 38.224254 stepsize= 1.000000
+dualbound = 3105672.642705, lowerbound=1231955.642705, norm of subgrad 1110.510983 dualbound = 3105672.642705, lowerbound=1231955.642705, norm of subgrad 37.180451 stepsize= 1.000000
+dualbound = 3105807.324316, lowerbound=1230780.324316, norm of subgrad 1109.970866 dualbound = 3105807.324316, lowerbound=1230780.324316, norm of subgrad 37.278434 stepsize= 1.000000
+dualbound = 3105920.400686, lowerbound=1229177.400686, norm of subgrad 1109.283733 dualbound = 3105920.400686, lowerbound=1229177.400686, norm of subgrad 38.027311 stepsize= 1.000000
+dualbound = 3106006.204357, lowerbound=1229768.204357, norm of subgrad 1109.542340 dualbound = 3106006.204357, lowerbound=1229768.204357, norm of subgrad 37.440669 stepsize= 1.000000
+dualbound = 3106127.125228, lowerbound=1229282.125228, norm of subgrad 1109.334992 dualbound = 3106127.125228, lowerbound=1229282.125228, norm of subgrad 38.248149 stepsize= 1.000000
+dualbound = 3106234.922053, lowerbound=1229629.922053, norm of subgrad 1109.488586 dualbound = 3106234.922053, lowerbound=1229629.922053, norm of subgrad 37.984165 stepsize= 1.000000
+dualbound = 3106352.589207, lowerbound=1233331.589207, norm of subgrad 1111.146070 dualbound = 3106352.589207, lowerbound=1233331.589207, norm of subgrad 37.837378 stepsize= 1.000000
+dualbound = 3106441.384409, lowerbound=1234169.384409, norm of subgrad 1111.584178 dualbound = 3106441.384409, lowerbound=1234169.384409, norm of subgrad 39.227480 stepsize= 1.000000
+dualbound = 3106575.306084, lowerbound=1229739.306084, norm of subgrad 1109.521656 dualbound = 3106575.306084, lowerbound=1229739.306084, norm of subgrad 37.853952 stepsize= 1.000000
+dualbound = 3106683.724425, lowerbound=1229740.724425, norm of subgrad 1109.557445 dualbound = 3106683.724425, lowerbound=1229740.724425, norm of subgrad 38.541125 stepsize= 1.000000
+dualbound = 3106805.133154, lowerbound=1230413.133154, norm of subgrad 1109.865367 dualbound = 3106805.133154, lowerbound=1230413.133154, norm of subgrad 38.851110 stepsize= 1.000000
+dualbound = 3106914.065374, lowerbound=1227401.065374, norm of subgrad 1108.469695 dualbound = 3106914.065374, lowerbound=1227401.065374, norm of subgrad 37.588991 stepsize= 1.000000
+dualbound = 3107044.759804, lowerbound=1229091.759804, norm of subgrad 1109.246934 dualbound = 3107044.759804, lowerbound=1229091.759804, norm of subgrad 38.310500 stepsize= 1.000000
+dualbound = 3107127.195311, lowerbound=1229501.195311, norm of subgrad 1109.438685 dualbound = 3107127.195311, lowerbound=1229501.195311, norm of subgrad 37.887142 stepsize= 1.000000
+dualbound = 3107246.319177, lowerbound=1234500.319177, norm of subgrad 1111.691198 dualbound = 3107246.319177, lowerbound=1234500.319177, norm of subgrad 38.420357 stepsize= 1.000000
+dualbound = 3107342.448822, lowerbound=1228481.448822, norm of subgrad 1108.976307 dualbound = 3107342.448822, lowerbound=1228481.448822, norm of subgrad 37.988546 stepsize= 1.000000
+dualbound = 3107477.180495, lowerbound=1227446.180495, norm of subgrad 1108.505832 dualbound = 3107477.180495, lowerbound=1227446.180495, norm of subgrad 38.389213 stepsize= 1.000000
+dualbound = 3107601.672903, lowerbound=1228245.672903, norm of subgrad 1108.864136 dualbound = 3107601.672903, lowerbound=1228245.672903, norm of subgrad 38.190214 stepsize= 1.000000
+dualbound = 3107697.345169, lowerbound=1230089.345169, norm of subgrad 1109.732105 dualbound = 3107697.345169, lowerbound=1230089.345169, norm of subgrad 38.880230 stepsize= 1.000000
+dualbound = 3107771.765716, lowerbound=1230762.765716, norm of subgrad 1110.057551 dualbound = 3107771.765716, lowerbound=1230762.765716, norm of subgrad 39.235450 stepsize= 1.000000
+dualbound = 3107915.625320, lowerbound=1231401.625320, norm of subgrad 1110.304294 dualbound = 3107915.625320, lowerbound=1231401.625320, norm of subgrad 38.959718 stepsize= 1.000000
+dualbound = 3108026.933244, lowerbound=1226808.933244, norm of subgrad 1108.217458 dualbound = 3108026.933244, lowerbound=1226808.933244, norm of subgrad 38.056641 stepsize= 1.000000
+dualbound = 3108170.737786, lowerbound=1234191.737786, norm of subgrad 1111.553300 dualbound = 3108170.737786, lowerbound=1234191.737786, norm of subgrad 38.766023 stepsize= 1.000000
+dualbound = 3108266.214097, lowerbound=1234660.214097, norm of subgrad 1111.755915 dualbound = 3108266.214097, lowerbound=1234660.214097, norm of subgrad 37.900875 stepsize= 1.000000
+dualbound = 3108404.435036, lowerbound=1230806.435036, norm of subgrad 1110.007403 dualbound = 3108404.435036, lowerbound=1230806.435036, norm of subgrad 38.055498 stepsize= 1.000000
+dualbound = 3108473.828285, lowerbound=1229869.828285, norm of subgrad 1109.639504 dualbound = 3108473.828285, lowerbound=1229869.828285, norm of subgrad 38.722000 stepsize= 1.000000
+dualbound = 3108603.850054, lowerbound=1232900.850054, norm of subgrad 1110.977880 dualbound = 3108603.850054, lowerbound=1232900.850054, norm of subgrad 38.743022 stepsize= 1.000000
+dualbound = 3108718.701597, lowerbound=1225841.701597, norm of subgrad 1107.816186 dualbound = 3108718.701597, lowerbound=1225841.701597, norm of subgrad 39.113317 stepsize= 1.000000
+dualbound = 3108825.993958, lowerbound=1230902.993958, norm of subgrad 1110.060806 dualbound = 3108825.993958, lowerbound=1230902.993958, norm of subgrad 37.938007 stepsize= 1.000000
+dualbound = 3108960.083724, lowerbound=1230562.083724, norm of subgrad 1109.910845 dualbound = 3108960.083724, lowerbound=1230562.083724, norm of subgrad 38.393877 stepsize= 1.000000
+dualbound = 3109081.496856, lowerbound=1232006.496856, norm of subgrad 1110.548287 dualbound = 3109081.496856, lowerbound=1232006.496856, norm of subgrad 37.847234 stepsize= 1.000000
+dualbound = 3109175.686634, lowerbound=1232974.686634, norm of subgrad 1111.001659 dualbound = 3109175.686634, lowerbound=1232974.686634, norm of subgrad 38.002497 stepsize= 1.000000
+dualbound = 3109288.665387, lowerbound=1229671.665387, norm of subgrad 1109.521818 dualbound = 3109288.665387, lowerbound=1229671.665387, norm of subgrad 38.470492 stepsize= 1.000000
+dualbound = 3109391.666964, lowerbound=1229814.666964, norm of subgrad 1109.575444 dualbound = 3109391.666964, lowerbound=1229814.666964, norm of subgrad 38.026327 stepsize= 1.000000
+dualbound = 3109526.112739, lowerbound=1231471.112739, norm of subgrad 1110.291904 dualbound = 3109526.112739, lowerbound=1231471.112739, norm of subgrad 37.569213 stepsize= 1.000000
+dualbound = 3109629.506134, lowerbound=1228704.506134, norm of subgrad 1109.081830 dualbound = 3109629.506134, lowerbound=1228704.506134, norm of subgrad 38.228175 stepsize= 1.000000
+dualbound = 3109761.774506, lowerbound=1228095.774506, norm of subgrad 1108.786623 dualbound = 3109761.774506, lowerbound=1228095.774506, norm of subgrad 38.003531 stepsize= 1.000000
+dualbound = 3109859.973260, lowerbound=1232309.973260, norm of subgrad 1110.706520 dualbound = 3109859.973260, lowerbound=1232309.973260, norm of subgrad 38.173273 stepsize= 1.000000
+dualbound = 3109953.170257, lowerbound=1233658.170257, norm of subgrad 1111.330810 dualbound = 3109953.170257, lowerbound=1233658.170257, norm of subgrad 38.616020 stepsize= 1.000000
+dualbound = 3110034.372077, lowerbound=1233077.372077, norm of subgrad 1111.094223 dualbound = 3110034.372077, lowerbound=1233077.372077, norm of subgrad 39.168888 stepsize= 1.000000
+dualbound = 3110150.709678, lowerbound=1229547.709678, norm of subgrad 1109.447930 dualbound = 3110150.709678, lowerbound=1229547.709678, norm of subgrad 37.991283 stepsize= 1.000000
+dualbound = 3110311.558304, lowerbound=1226327.558304, norm of subgrad 1107.987165 dualbound = 3110311.558304, lowerbound=1226327.558304, norm of subgrad 38.325561 stepsize= 1.000000
+dualbound = 3110420.848143, lowerbound=1233951.848143, norm of subgrad 1111.410297 dualbound = 3110420.848143, lowerbound=1233951.848143, norm of subgrad 37.286591 stepsize= 1.000000
+dualbound = 3110540.703439, lowerbound=1231506.703439, norm of subgrad 1110.319640 dualbound = 3110540.703439, lowerbound=1231506.703439, norm of subgrad 37.720754 stepsize= 1.000000
+dualbound = 3110623.300826, lowerbound=1230216.300826, norm of subgrad 1109.746503 dualbound = 3110623.300826, lowerbound=1230216.300826, norm of subgrad 37.464615 stepsize= 1.000000
+dualbound = 3110741.369682, lowerbound=1233749.369682, norm of subgrad 1111.343048 dualbound = 3110741.369682, lowerbound=1233749.369682, norm of subgrad 38.106021 stepsize= 1.000000
+dualbound = 3110856.762581, lowerbound=1231355.762581, norm of subgrad 1110.246262 dualbound = 3110856.762581, lowerbound=1231355.762581, norm of subgrad 37.501905 stepsize= 1.000000
+dualbound = 3110982.410716, lowerbound=1224592.410716, norm of subgrad 1107.202064 dualbound = 3110982.410716, lowerbound=1224592.410716, norm of subgrad 37.810688 stepsize= 1.000000
+dualbound = 3111107.336978, lowerbound=1233228.336978, norm of subgrad 1111.096457 dualbound = 3111107.336978, lowerbound=1233228.336978, norm of subgrad 37.840802 stepsize= 1.000000
+dualbound = 3111195.314054, lowerbound=1232810.314054, norm of subgrad 1110.906978 dualbound = 3111195.314054, lowerbound=1232810.314054, norm of subgrad 37.309209 stepsize= 1.000000
+dualbound = 3111303.009096, lowerbound=1230414.009096, norm of subgrad 1109.830171 dualbound = 3111303.009096, lowerbound=1230414.009096, norm of subgrad 37.639010 stepsize= 1.000000
+dualbound = 3111410.874910, lowerbound=1230728.874910, norm of subgrad 1109.983727 dualbound = 3111410.874910, lowerbound=1230728.874910, norm of subgrad 37.985074 stepsize= 1.000000
+dualbound = 3111536.259875, lowerbound=1231356.259875, norm of subgrad 1110.283865 dualbound = 3111536.259875, lowerbound=1231356.259875, norm of subgrad 38.721893 stepsize= 1.000000
+dualbound = 3111605.883672, lowerbound=1232719.883672, norm of subgrad 1110.941890 dualbound = 3111605.883672, lowerbound=1232719.883672, norm of subgrad 39.263517 stepsize= 1.000000
+dualbound = 3111735.409118, lowerbound=1232329.409118, norm of subgrad 1110.722472 dualbound = 3111735.409118, lowerbound=1232329.409118, norm of subgrad 38.788213 stepsize= 1.000000
+dualbound = 3111845.589731, lowerbound=1229183.589731, norm of subgrad 1109.330694 dualbound = 3111845.589731, lowerbound=1229183.589731, norm of subgrad 39.257873 stepsize= 1.000000
+dualbound = 3111956.764505, lowerbound=1227753.764505, norm of subgrad 1108.683798 dualbound = 3111956.764505, lowerbound=1227753.764505, norm of subgrad 39.206821 stepsize= 1.000000
+dualbound = 3112048.735124, lowerbound=1227910.735124, norm of subgrad 1108.753235 dualbound = 3112048.735124, lowerbound=1227910.735124, norm of subgrad 38.922623 stepsize= 1.000000
+dualbound = 3112189.175809, lowerbound=1226683.175809, norm of subgrad 1108.153498 dualbound = 3112189.175809, lowerbound=1226683.175809, norm of subgrad 38.228794 stepsize= 1.000000
+dualbound = 3112328.056224, lowerbound=1233530.056224, norm of subgrad 1111.238524 dualbound = 3112328.056224, lowerbound=1233530.056224, norm of subgrad 38.208381 stepsize= 1.000000
+dualbound = 3112454.088563, lowerbound=1230292.088563, norm of subgrad 1109.783352 dualbound = 3112454.088563, lowerbound=1230292.088563, norm of subgrad 38.118661 stepsize= 1.000000
+dualbound = 3112529.341848, lowerbound=1231560.341848, norm of subgrad 1110.373064 dualbound = 3112529.341848, lowerbound=1231560.341848, norm of subgrad 37.990174 stepsize= 1.000000
+dualbound = 3112650.551060, lowerbound=1232410.551060, norm of subgrad 1110.755397 dualbound = 3112650.551060, lowerbound=1232410.551060, norm of subgrad 38.577315 stepsize= 1.000000
+dualbound = 3112751.734495, lowerbound=1235905.734495, norm of subgrad 1112.285366 dualbound = 3112751.734495, lowerbound=1235905.734495, norm of subgrad 37.069980 stepsize= 1.000000
+dualbound = 3112888.832646, lowerbound=1230537.832646, norm of subgrad 1109.897668 dualbound = 3112888.832646, lowerbound=1230537.832646, norm of subgrad 38.367931 stepsize= 1.000000
+dualbound = 3112985.522558, lowerbound=1228959.522558, norm of subgrad 1109.206258 dualbound = 3112985.522558, lowerbound=1228959.522558, norm of subgrad 38.414710 stepsize= 1.000000
+dualbound = 3113113.090230, lowerbound=1233945.090230, norm of subgrad 1111.437848 dualbound = 3113113.090230, lowerbound=1233945.090230, norm of subgrad 38.426133 stepsize= 1.000000
+dualbound = 3113198.578702, lowerbound=1229373.578702, norm of subgrad 1109.396042 dualbound = 3113198.578702, lowerbound=1229373.578702, norm of subgrad 38.359985 stepsize= 1.000000
+dualbound = 3113335.111999, lowerbound=1230411.111999, norm of subgrad 1109.830218 dualbound = 3113335.111999, lowerbound=1230411.111999, norm of subgrad 38.059602 stepsize= 1.000000
+dualbound = 3113427.456877, lowerbound=1233942.456877, norm of subgrad 1111.463655 dualbound = 3113427.456877, lowerbound=1233942.456877, norm of subgrad 38.747192 stepsize= 1.000000
+dualbound = 3113524.904595, lowerbound=1229265.904595, norm of subgrad 1109.320920 dualbound = 3113524.904595, lowerbound=1229265.904595, norm of subgrad 37.741856 stepsize= 1.000000
+dualbound = 3113696.594451, lowerbound=1231494.594451, norm of subgrad 1110.306081 dualbound = 3113696.594451, lowerbound=1231494.594451, norm of subgrad 38.166607 stepsize= 1.000000
+dualbound = 3113785.159997, lowerbound=1229202.159997, norm of subgrad 1109.284526 dualbound = 3113785.159997, lowerbound=1229202.159997, norm of subgrad 37.397400 stepsize= 1.000000
+dualbound = 3113896.290648, lowerbound=1234247.290648, norm of subgrad 1111.545901 dualbound = 3113896.290648, lowerbound=1234247.290648, norm of subgrad 37.391585 stepsize= 1.000000
+dualbound = 3114005.905865, lowerbound=1229387.905865, norm of subgrad 1109.358781 dualbound = 3114005.905865, lowerbound=1229387.905865, norm of subgrad 37.398064 stepsize= 1.000000
+dualbound = 3114098.263378, lowerbound=1234336.263378, norm of subgrad 1111.642597 dualbound = 3114098.263378, lowerbound=1234336.263378, norm of subgrad 38.798937 stepsize= 1.000000
+dualbound = 3114203.146958, lowerbound=1231793.146958, norm of subgrad 1110.493650 dualbound = 3114203.146958, lowerbound=1231793.146958, norm of subgrad 38.831477 stepsize= 1.000000
+dualbound = 3114317.219211, lowerbound=1229448.219211, norm of subgrad 1109.424274 dualbound = 3114317.219211, lowerbound=1229448.219211, norm of subgrad 38.575540 stepsize= 1.000000
+dualbound = 3114437.229366, lowerbound=1230509.229366, norm of subgrad 1109.910010 dualbound = 3114437.229366, lowerbound=1230509.229366, norm of subgrad 38.871714 stepsize= 1.000000
+dualbound = 3114541.226101, lowerbound=1231310.226101, norm of subgrad 1110.274392 dualbound = 3114541.226101, lowerbound=1231310.226101, norm of subgrad 38.768502 stepsize= 1.000000
+dualbound = 3114670.049920, lowerbound=1233378.049920, norm of subgrad 1111.185426 dualbound = 3114670.049920, lowerbound=1233378.049920, norm of subgrad 38.520434 stepsize= 1.000000
+dualbound = 3114766.255317, lowerbound=1234223.255317, norm of subgrad 1111.597614 dualbound = 3114766.255317, lowerbound=1234223.255317, norm of subgrad 39.015451 stepsize= 1.000000
+dualbound = 3114888.386326, lowerbound=1233904.386326, norm of subgrad 1111.424935 dualbound = 3114888.386326, lowerbound=1233904.386326, norm of subgrad 38.511440 stepsize= 1.000000
+dualbound = 3115009.258642, lowerbound=1228490.258642, norm of subgrad 1108.959990 dualbound = 3115009.258642, lowerbound=1228490.258642, norm of subgrad 37.720980 stepsize= 1.000000
+dualbound = 3115127.114573, lowerbound=1229531.114573, norm of subgrad 1109.486419 dualbound = 3115127.114573, lowerbound=1229531.114573, norm of subgrad 39.330089 stepsize= 1.000000
+dualbound = 3115189.127917, lowerbound=1235580.127917, norm of subgrad 1112.190239 dualbound = 3115189.127917, lowerbound=1235580.127917, norm of subgrad 38.065908 stepsize= 1.000000
+dualbound = 3115352.864691, lowerbound=1229873.864691, norm of subgrad 1109.588602 dualbound = 3115352.864691, lowerbound=1229873.864691, norm of subgrad 38.428333 stepsize= 1.000000
+dualbound = 3115440.213131, lowerbound=1228033.213131, norm of subgrad 1108.761116 dualbound = 3115440.213131, lowerbound=1228033.213131, norm of subgrad 37.487977 stepsize= 1.000000
+dualbound = 3115562.310163, lowerbound=1232335.310163, norm of subgrad 1110.733231 dualbound = 3115562.310163, lowerbound=1232335.310163, norm of subgrad 38.924247 stepsize= 1.000000
+dualbound = 3115645.935781, lowerbound=1229221.935781, norm of subgrad 1109.302905 dualbound = 3115645.935781, lowerbound=1229221.935781, norm of subgrad 37.611509 stepsize= 1.000000
+dualbound = 3115783.438501, lowerbound=1233528.438501, norm of subgrad 1111.283689 dualbound = 3115783.438501, lowerbound=1233528.438501, norm of subgrad 39.503199 stepsize= 1.000000
+dualbound = 3115848.120569, lowerbound=1230054.120569, norm of subgrad 1109.706772 dualbound = 3115848.120569, lowerbound=1230054.120569, norm of subgrad 38.205786 stepsize= 1.000000
+dualbound = 3116011.981836, lowerbound=1231012.981836, norm of subgrad 1110.105843 dualbound = 3116011.981836, lowerbound=1231012.981836, norm of subgrad 38.546871 stepsize= 1.000000
+dualbound = 3116101.272599, lowerbound=1232379.272599, norm of subgrad 1110.757072 dualbound = 3116101.272599, lowerbound=1232379.272599, norm of subgrad 38.617234 stepsize= 1.000000
+dualbound = 3116211.957663, lowerbound=1230529.957663, norm of subgrad 1109.913942 dualbound = 3116211.957663, lowerbound=1230529.957663, norm of subgrad 38.596438 stepsize= 1.000000
+dualbound = 3116321.992229, lowerbound=1230163.992229, norm of subgrad 1109.755825 dualbound = 3116321.992229, lowerbound=1230163.992229, norm of subgrad 38.781885 stepsize= 1.000000
+dualbound = 3116431.688629, lowerbound=1234999.688629, norm of subgrad 1111.928815 dualbound = 3116431.688629, lowerbound=1234999.688629, norm of subgrad 38.674234 stepsize= 1.000000
+dualbound = 3116523.829232, lowerbound=1230475.829232, norm of subgrad 1109.892260 dualbound = 3116523.829232, lowerbound=1230475.829232, norm of subgrad 38.433587 stepsize= 1.000000
+dualbound = 3116666.141781, lowerbound=1235397.141781, norm of subgrad 1112.085492 dualbound = 3116666.141781, lowerbound=1235397.141781, norm of subgrad 38.461832 stepsize= 1.000000
+dualbound = 3116769.485323, lowerbound=1233493.485323, norm of subgrad 1111.213069 dualbound = 3116769.485323, lowerbound=1233493.485323, norm of subgrad 37.474572 stepsize= 1.000000
+dualbound = 3116915.626896, lowerbound=1232284.626896, norm of subgrad 1110.657745 dualbound = 3116915.626896, lowerbound=1232284.626896, norm of subgrad 37.711292 stepsize= 1.000000
+dualbound = 3117015.695277, lowerbound=1227511.695277, norm of subgrad 1108.511477 dualbound = 3117015.695277, lowerbound=1227511.695277, norm of subgrad 37.229939 stepsize= 1.000000
+dualbound = 3117115.148136, lowerbound=1229594.148136, norm of subgrad 1109.480125 dualbound = 3117115.148136, lowerbound=1229594.148136, norm of subgrad 38.097938 stepsize= 1.000000
+dualbound = 3117217.904062, lowerbound=1231805.904062, norm of subgrad 1110.466525 dualbound = 3117217.904062, lowerbound=1231805.904062, norm of subgrad 37.851763 stepsize= 1.000000
+dualbound = 3117326.580935, lowerbound=1236300.580935, norm of subgrad 1112.530261 dualbound = 3117326.580935, lowerbound=1236300.580935, norm of subgrad 39.136644 stepsize= 1.000000
+dualbound = 3117421.804325, lowerbound=1227910.804325, norm of subgrad 1108.731620 dualbound = 3117421.804325, lowerbound=1227910.804325, norm of subgrad 38.343492 stepsize= 1.000000
+dualbound = 3117573.944478, lowerbound=1230095.944478, norm of subgrad 1109.700836 dualbound = 3117573.944478, lowerbound=1230095.944478, norm of subgrad 38.628230 stepsize= 1.000000
+dualbound = 3117650.454321, lowerbound=1230694.454321, norm of subgrad 1110.003358 dualbound = 3117650.454321, lowerbound=1230694.454321, norm of subgrad 38.594169 stepsize= 1.000000
+dualbound = 3117767.694793, lowerbound=1234430.694793, norm of subgrad 1111.670677 dualbound = 3117767.694793, lowerbound=1234430.694793, norm of subgrad 38.707111 stepsize= 1.000000
+dualbound = 3117884.436096, lowerbound=1233011.436096, norm of subgrad 1111.022698 dualbound = 3117884.436096, lowerbound=1233011.436096, norm of subgrad 38.428392 stepsize= 1.000000
+dualbound = 3118001.262051, lowerbound=1231712.262051, norm of subgrad 1110.427513 dualbound = 3118001.262051, lowerbound=1231712.262051, norm of subgrad 38.129070 stepsize= 1.000000
+dualbound = 3118101.306255, lowerbound=1228802.306255, norm of subgrad 1109.092560 dualbound = 3118101.306255, lowerbound=1228802.306255, norm of subgrad 37.202745 stepsize= 1.000000
+dualbound = 3118270.154001, lowerbound=1239114.154001, norm of subgrad 1113.756775 dualbound = 3118270.154001, lowerbound=1239114.154001, norm of subgrad 38.843889 stepsize= 1.000000
+dualbound = 3118333.048471, lowerbound=1231230.048471, norm of subgrad 1110.215767 dualbound = 3118333.048471, lowerbound=1231230.048471, norm of subgrad 37.575184 stepsize= 1.000000
+dualbound = 3118490.109170, lowerbound=1232450.109170, norm of subgrad 1110.736742 dualbound = 3118490.109170, lowerbound=1232450.109170, norm of subgrad 37.987639 stepsize= 1.000000
+dualbound = 3118576.848147, lowerbound=1224975.848147, norm of subgrad 1107.397331 dualbound = 3118576.848147, lowerbound=1224975.848147, norm of subgrad 37.943892 stepsize= 1.000000
+dualbound = 3118668.726133, lowerbound=1232358.726133, norm of subgrad 1110.703257 dualbound = 3118668.726133, lowerbound=1232358.726133, norm of subgrad 37.348065 stepsize= 1.000000
+dualbound = 3118785.284239, lowerbound=1227118.284239, norm of subgrad 1108.365591 dualbound = 3118785.284239, lowerbound=1227118.284239, norm of subgrad 38.373925 stepsize= 1.000000
+dualbound = 3118898.951527, lowerbound=1233365.951527, norm of subgrad 1111.169182 dualbound = 3118898.951527, lowerbound=1233365.951527, norm of subgrad 38.008779 stepsize= 1.000000
+dualbound = 3119015.654700, lowerbound=1231061.654700, norm of subgrad 1110.142178 dualbound = 3119015.654700, lowerbound=1231061.654700, norm of subgrad 38.349748 stepsize= 1.000000
+dualbound = 3119104.343116, lowerbound=1234036.343116, norm of subgrad 1111.483398 dualbound = 3119104.343116, lowerbound=1234036.343116, norm of subgrad 38.048501 stepsize= 1.000000
+dualbound = 3119208.685124, lowerbound=1229316.685124, norm of subgrad 1109.344259 dualbound = 3119208.685124, lowerbound=1229316.685124, norm of subgrad 37.846295 stepsize= 1.000000
+dualbound = 3119371.702136, lowerbound=1234720.702136, norm of subgrad 1111.763330 dualbound = 3119371.702136, lowerbound=1234720.702136, norm of subgrad 38.210169 stepsize= 1.000000
+dualbound = 3119445.158541, lowerbound=1227461.158541, norm of subgrad 1108.521609 dualbound = 3119445.158541, lowerbound=1227461.158541, norm of subgrad 37.847806 stepsize= 1.000000
+dualbound = 3119577.383372, lowerbound=1237082.383372, norm of subgrad 1112.826754 dualbound = 3119577.383372, lowerbound=1237082.383372, norm of subgrad 37.857956 stepsize= 1.000000
+dualbound = 3119670.970548, lowerbound=1228550.970548, norm of subgrad 1108.998183 dualbound = 3119670.970548, lowerbound=1228550.970548, norm of subgrad 37.677409 stepsize= 1.000000
+dualbound = 3119804.950671, lowerbound=1233838.950671, norm of subgrad 1111.381550 dualbound = 3119804.950671, lowerbound=1233838.950671, norm of subgrad 38.261993 stepsize= 1.000000
+dualbound = 3119925.536018, lowerbound=1229942.536018, norm of subgrad 1109.602422 dualbound = 3119925.536018, lowerbound=1229942.536018, norm of subgrad 37.357534 stepsize= 1.000000
+dualbound = 3120055.383630, lowerbound=1237270.383630, norm of subgrad 1112.892800 dualbound = 3120055.383630, lowerbound=1237270.383630, norm of subgrad 37.280660 stepsize= 1.000000
+dualbound = 3120150.725979, lowerbound=1231164.725979, norm of subgrad 1110.170584 dualbound = 3120150.725979, lowerbound=1231164.725979, norm of subgrad 37.541209 stepsize= 1.000000
+dualbound = 3120251.318005, lowerbound=1230527.318005, norm of subgrad 1109.862747 dualbound = 3120251.318005, lowerbound=1230527.318005, norm of subgrad 36.994486 stepsize= 1.000000
+dualbound = 3120345.839300, lowerbound=1230575.839300, norm of subgrad 1109.936412 dualbound = 3120345.839300, lowerbound=1230575.839300, norm of subgrad 38.438539 stepsize= 1.000000
+dualbound = 3120446.810457, lowerbound=1235658.810457, norm of subgrad 1112.231455 dualbound = 3120446.810457, lowerbound=1235658.810457, norm of subgrad 38.742369 stepsize= 1.000000
+dualbound = 3120546.163578, lowerbound=1231460.163578, norm of subgrad 1110.314894 dualbound = 3120546.163578, lowerbound=1231460.163578, norm of subgrad 37.925626 stepsize= 1.000000
+dualbound = 3120689.738402, lowerbound=1228645.738402, norm of subgrad 1109.024679 dualbound = 3120689.738402, lowerbound=1228645.738402, norm of subgrad 37.862578 stepsize= 1.000000
+dualbound = 3120785.476665, lowerbound=1229637.476665, norm of subgrad 1109.503257 dualbound = 3120785.476665, lowerbound=1229637.476665, norm of subgrad 38.154138 stepsize= 1.000000
+dualbound = 3120904.401568, lowerbound=1236243.401568, norm of subgrad 1112.462764 dualbound = 3120904.401568, lowerbound=1236243.401568, norm of subgrad 38.064746 stepsize= 1.000000
+dualbound = 3120994.387994, lowerbound=1231878.387994, norm of subgrad 1110.518072 dualbound = 3120994.387994, lowerbound=1231878.387994, norm of subgrad 38.235931 stepsize= 1.000000
+dualbound = 3121110.087598, lowerbound=1231487.087598, norm of subgrad 1110.305403 dualbound = 3121110.087598, lowerbound=1231487.087598, norm of subgrad 37.505994 stepsize= 1.000000
+dualbound = 3121243.559957, lowerbound=1228985.559957, norm of subgrad 1109.176974 dualbound = 3121243.559957, lowerbound=1228985.559957, norm of subgrad 37.702418 stepsize= 1.000000
+dualbound = 3121348.416349, lowerbound=1234780.416349, norm of subgrad 1111.828411 dualbound = 3121348.416349, lowerbound=1234780.416349, norm of subgrad 38.559777 stepsize= 1.000000
+dualbound = 3121436.946803, lowerbound=1233004.946803, norm of subgrad 1111.035529 dualbound = 3121436.946803, lowerbound=1233004.946803, norm of subgrad 38.516626 stepsize= 1.000000
+dualbound = 3121554.571022, lowerbound=1234848.571022, norm of subgrad 1111.852315 dualbound = 3121554.571022, lowerbound=1234848.571022, norm of subgrad 38.530822 stepsize= 1.000000
+dualbound = 3121674.892001, lowerbound=1230807.892001, norm of subgrad 1110.042743 dualbound = 3121674.892001, lowerbound=1230807.892001, norm of subgrad 38.824232 stepsize= 1.000000
+dualbound = 3121785.208407, lowerbound=1233803.208407, norm of subgrad 1111.378967 dualbound = 3121785.208407, lowerbound=1233803.208407, norm of subgrad 38.344705 stepsize= 1.000000
+dualbound = 3121903.744262, lowerbound=1229853.744262, norm of subgrad 1109.609726 dualbound = 3121903.744262, lowerbound=1229853.744262, norm of subgrad 38.710927 stepsize= 1.000000
+dualbound = 3121994.972325, lowerbound=1234778.972325, norm of subgrad 1111.872282 dualbound = 3121994.972325, lowerbound=1234778.972325, norm of subgrad 39.651331 stepsize= 1.000000
+dualbound = 3122086.960810, lowerbound=1228975.960810, norm of subgrad 1109.211414 dualbound = 3122086.960810, lowerbound=1228975.960810, norm of subgrad 38.288229 stepsize= 1.000000
+dualbound = 3122211.603150, lowerbound=1233755.603150, norm of subgrad 1111.375995 dualbound = 3122211.603150, lowerbound=1233755.603150, norm of subgrad 39.059472 stepsize= 1.000000
+dualbound = 3122335.496565, lowerbound=1231823.496565, norm of subgrad 1110.500561 dualbound = 3122335.496565, lowerbound=1231823.496565, norm of subgrad 38.883074 stepsize= 1.000000
+dualbound = 3122456.913458, lowerbound=1228333.913458, norm of subgrad 1108.894906 dualbound = 3122456.913458, lowerbound=1228333.913458, norm of subgrad 37.886896 stepsize= 1.000000
+dualbound = 3122566.179872, lowerbound=1230672.179872, norm of subgrad 1109.931160 dualbound = 3122566.179872, lowerbound=1230672.179872, norm of subgrad 37.205731 stepsize= 1.000000
+dualbound = 3122698.702422, lowerbound=1238857.702422, norm of subgrad 1113.627273 dualbound = 3122698.702422, lowerbound=1238857.702422, norm of subgrad 37.954217 stepsize= 1.000000
+dualbound = 3122759.801554, lowerbound=1228662.801554, norm of subgrad 1109.058070 dualbound = 3122759.801554, lowerbound=1228662.801554, norm of subgrad 37.524647 stepsize= 1.000000
+dualbound = 3122912.159939, lowerbound=1233458.159939, norm of subgrad 1111.185925 dualbound = 3122912.159939, lowerbound=1233458.159939, norm of subgrad 37.793629 stepsize= 1.000000
+dualbound = 3123015.035394, lowerbound=1230946.035394, norm of subgrad 1110.075239 dualbound = 3123015.035394, lowerbound=1230946.035394, norm of subgrad 37.734274 stepsize= 1.000000
+dualbound = 3123115.545768, lowerbound=1233386.545768, norm of subgrad 1111.162700 dualbound = 3123115.545768, lowerbound=1233386.545768, norm of subgrad 37.369913 stepsize= 1.000000
+dualbound = 3123229.184225, lowerbound=1230486.184225, norm of subgrad 1109.859984 dualbound = 3123229.184225, lowerbound=1230486.184225, norm of subgrad 37.638258 stepsize= 1.000000
+dualbound = 3123347.154845, lowerbound=1239176.154845, norm of subgrad 1113.769794 dualbound = 3123347.154845, lowerbound=1239176.154845, norm of subgrad 37.748783 stepsize= 1.000000
+dualbound = 3123444.103919, lowerbound=1233879.103919, norm of subgrad 1111.407263 dualbound = 3123444.103919, lowerbound=1233879.103919, norm of subgrad 37.999330 stepsize= 1.000000
+dualbound = 3123558.701086, lowerbound=1233437.701086, norm of subgrad 1111.214966 dualbound = 3123558.701086, lowerbound=1233437.701086, norm of subgrad 38.413502 stepsize= 1.000000
+dualbound = 3123643.787280, lowerbound=1231510.787280, norm of subgrad 1110.346697 dualbound = 3123643.787280, lowerbound=1231510.787280, norm of subgrad 38.001134 stepsize= 1.000000
+dualbound = 3123784.113255, lowerbound=1232827.113255, norm of subgrad 1110.924441 dualbound = 3123784.113255, lowerbound=1232827.113255, norm of subgrad 38.292636 stepsize= 1.000000
+dualbound = 3123860.247128, lowerbound=1230069.247128, norm of subgrad 1109.739270 dualbound = 3123860.247128, lowerbound=1230069.247128, norm of subgrad 39.091353 stepsize= 1.000000
+dualbound = 3123988.033528, lowerbound=1238480.033528, norm of subgrad 1113.488677 dualbound = 3123988.033528, lowerbound=1238480.033528, norm of subgrad 38.791576 stepsize= 1.000000
+dualbound = 3124069.970133, lowerbound=1229776.970133, norm of subgrad 1109.592705 dualbound = 3124069.970133, lowerbound=1229776.970133, norm of subgrad 38.741923 stepsize= 1.000000
+dualbound = 3124213.281187, lowerbound=1232974.281187, norm of subgrad 1111.002377 dualbound = 3124213.281187, lowerbound=1232974.281187, norm of subgrad 38.669252 stepsize= 1.000000
+dualbound = 3124327.971463, lowerbound=1234391.971463, norm of subgrad 1111.622675 dualbound = 3124327.971463, lowerbound=1234391.971463, norm of subgrad 37.784789 stepsize= 1.000000
+dualbound = 3124458.529280, lowerbound=1234119.529280, norm of subgrad 1111.493378 dualbound = 3124458.529280, lowerbound=1234119.529280, norm of subgrad 37.796267 stepsize= 1.000000
+dualbound = 3124548.393774, lowerbound=1227604.393774, norm of subgrad 1108.606961 dualbound = 3124548.393774, lowerbound=1227604.393774, norm of subgrad 38.663478 stepsize= 1.000000
+dualbound = 3124666.424904, lowerbound=1233126.424904, norm of subgrad 1111.050145 dualbound = 3124666.424904, lowerbound=1233126.424904, norm of subgrad 37.736337 stepsize= 1.000000
+dualbound = 3124773.997042, lowerbound=1228578.997042, norm of subgrad 1109.032911 dualbound = 3124773.997042, lowerbound=1228578.997042, norm of subgrad 38.504183 stepsize= 1.000000
+dualbound = 3124871.939236, lowerbound=1235445.939236, norm of subgrad 1112.131260 dualbound = 3124871.939236, lowerbound=1235445.939236, norm of subgrad 38.573854 stepsize= 1.000000
+dualbound = 3124984.704333, lowerbound=1235212.704333, norm of subgrad 1112.005263 dualbound = 3124984.704333, lowerbound=1235212.704333, norm of subgrad 38.154490 stepsize= 1.000000
+dualbound = 3125119.466888, lowerbound=1230736.466888, norm of subgrad 1109.970931 dualbound = 3125119.466888, lowerbound=1230736.466888, norm of subgrad 37.865057 stepsize= 1.000000
+dualbound = 3125231.924062, lowerbound=1225959.924062, norm of subgrad 1107.831632 dualbound = 3125231.924062, lowerbound=1225959.924062, norm of subgrad 37.992857 stepsize= 1.000000
+dualbound = 3125332.821883, lowerbound=1238072.821883, norm of subgrad 1113.313443 dualbound = 3125332.821883, lowerbound=1238072.821883, norm of subgrad 38.663909 stepsize= 1.000000
+dualbound = 3125409.455023, lowerbound=1232278.455023, norm of subgrad 1110.711238 dualbound = 3125409.455023, lowerbound=1232278.455023, norm of subgrad 38.439994 stepsize= 1.000000
+dualbound = 3125542.245628, lowerbound=1233891.245628, norm of subgrad 1111.420373 dualbound = 3125542.245628, lowerbound=1233891.245628, norm of subgrad 38.688378 stepsize= 1.000000
+dualbound = 3125656.265940, lowerbound=1225450.265940, norm of subgrad 1107.622348 dualbound = 3125656.265940, lowerbound=1225450.265940, norm of subgrad 38.613732 stepsize= 1.000000
+dualbound = 3125743.422453, lowerbound=1238063.422453, norm of subgrad 1113.279580 dualbound = 3125743.422453, lowerbound=1238063.422453, norm of subgrad 37.618566 stepsize= 1.000000
+dualbound = 3125875.544043, lowerbound=1230723.544043, norm of subgrad 1109.989434 dualbound = 3125875.544043, lowerbound=1230723.544043, norm of subgrad 38.537275 stepsize= 1.000000
+dualbound = 3125980.774340, lowerbound=1235043.774340, norm of subgrad 1111.937846 dualbound = 3125980.774340, lowerbound=1235043.774340, norm of subgrad 38.304442 stepsize= 1.000000
+dualbound = 3126083.610441, lowerbound=1230212.610441, norm of subgrad 1109.737181 dualbound = 3126083.610441, lowerbound=1230212.610441, norm of subgrad 37.507814 stepsize= 1.000000
+dualbound = 3126215.057845, lowerbound=1234809.057845, norm of subgrad 1111.845789 dualbound = 3126215.057845, lowerbound=1234809.057845, norm of subgrad 39.031364 stepsize= 1.000000
+dualbound = 3126291.705550, lowerbound=1230312.705550, norm of subgrad 1109.817420 dualbound = 3126291.705550, lowerbound=1230312.705550, norm of subgrad 38.192247 stepsize= 1.000000
+dualbound = 3126426.083841, lowerbound=1234471.083841, norm of subgrad 1111.701886 dualbound = 3126426.083841, lowerbound=1234471.083841, norm of subgrad 39.298579 stepsize= 1.000000
+dualbound = 3126501.010822, lowerbound=1230680.010822, norm of subgrad 1110.026131 dualbound = 3126501.010822, lowerbound=1230680.010822, norm of subgrad 39.407195 stepsize= 1.000000
+dualbound = 3126625.611137, lowerbound=1234770.611137, norm of subgrad 1111.821304 dualbound = 3126625.611137, lowerbound=1234770.611137, norm of subgrad 38.737583 stepsize= 1.000000
+dualbound = 3126737.608074, lowerbound=1228955.608074, norm of subgrad 1109.204944 dualbound = 3126737.608074, lowerbound=1228955.608074, norm of subgrad 38.626376 stepsize= 1.000000
+dualbound = 3126859.567204, lowerbound=1232472.567204, norm of subgrad 1110.796366 dualbound = 3126859.567204, lowerbound=1232472.567204, norm of subgrad 38.960995 stepsize= 1.000000
+dualbound = 3126961.261252, lowerbound=1230800.261252, norm of subgrad 1110.016334 dualbound = 3126961.261252, lowerbound=1230800.261252, norm of subgrad 37.916936 stepsize= 1.000000
+dualbound = 3127115.027283, lowerbound=1232344.027283, norm of subgrad 1110.699792 dualbound = 3127115.027283, lowerbound=1232344.027283, norm of subgrad 38.259195 stepsize= 1.000000
+dualbound = 3127190.417603, lowerbound=1232547.417603, norm of subgrad 1110.812953 dualbound = 3127190.417603, lowerbound=1232547.417603, norm of subgrad 37.860142 stepsize= 1.000000
+dualbound = 3127299.437553, lowerbound=1232805.437553, norm of subgrad 1110.916935 dualbound = 3127299.437553, lowerbound=1232805.437553, norm of subgrad 37.947595 stepsize= 1.000000
+dualbound = 3127417.026891, lowerbound=1233776.026891, norm of subgrad 1111.370337 dualbound = 3127417.026891, lowerbound=1233776.026891, norm of subgrad 38.543344 stepsize= 1.000000
+dualbound = 3127532.874218, lowerbound=1234728.874218, norm of subgrad 1111.778698 dualbound = 3127532.874218, lowerbound=1234728.874218, norm of subgrad 37.932141 stepsize= 1.000000
+dualbound = 3127652.680576, lowerbound=1231051.680576, norm of subgrad 1110.126425 dualbound = 3127652.680576, lowerbound=1231051.680576, norm of subgrad 38.063189 stepsize= 1.000000
+dualbound = 3127779.362467, lowerbound=1234850.362467, norm of subgrad 1111.842328 dualbound = 3127779.362467, lowerbound=1234850.362467, norm of subgrad 38.336430 stepsize= 1.000000
+dualbound = 3127844.104858, lowerbound=1232665.104858, norm of subgrad 1110.909584 dualbound = 3127844.104858, lowerbound=1232665.104858, norm of subgrad 38.983873 stepsize= 1.000000
+dualbound = 3127952.477004, lowerbound=1236011.477004, norm of subgrad 1112.380995 dualbound = 3127952.477004, lowerbound=1236011.477004, norm of subgrad 38.579426 stepsize= 1.000000
+dualbound = 3128059.304690, lowerbound=1231323.304690, norm of subgrad 1110.269024 dualbound = 3128059.304690, lowerbound=1231323.304690, norm of subgrad 38.481524 stepsize= 1.000000
+dualbound = 3128182.378682, lowerbound=1235331.378682, norm of subgrad 1112.074808 dualbound = 3128182.378682, lowerbound=1235331.378682, norm of subgrad 38.756599 stepsize= 1.000000
+dualbound = 3128289.195284, lowerbound=1231979.195284, norm of subgrad 1110.547250 dualbound = 3128289.195284, lowerbound=1231979.195284, norm of subgrad 37.984426 stepsize= 1.000000
+dualbound = 3128429.108092, lowerbound=1234299.108092, norm of subgrad 1111.592150 dualbound = 3128429.108092, lowerbound=1234299.108092, norm of subgrad 38.443632 stepsize= 1.000000
+dualbound = 3128520.282035, lowerbound=1228594.282035, norm of subgrad 1109.005537 dualbound = 3128520.282035, lowerbound=1228594.282035, norm of subgrad 37.285036 stepsize= 1.000000
+dualbound = 3128648.866169, lowerbound=1234419.866169, norm of subgrad 1111.645117 dualbound = 3128648.866169, lowerbound=1234419.866169, norm of subgrad 38.256818 stepsize= 1.000000
+dualbound = 3128720.840198, lowerbound=1235155.840198, norm of subgrad 1112.001727 dualbound = 3128720.840198, lowerbound=1235155.840198, norm of subgrad 38.261914 stepsize= 1.000000
+dualbound = 3128847.442950, lowerbound=1235434.442950, norm of subgrad 1112.099116 dualbound = 3128847.442950, lowerbound=1235434.442950, norm of subgrad 38.165465 stepsize= 1.000000
+dualbound = 3128954.278343, lowerbound=1232759.278343, norm of subgrad 1110.894360 dualbound = 3128954.278343, lowerbound=1232759.278343, norm of subgrad 37.866019 stepsize= 1.000000
+dualbound = 3129080.079613, lowerbound=1235113.079613, norm of subgrad 1111.943380 dualbound = 3129080.079613, lowerbound=1235113.079613, norm of subgrad 37.825934 stepsize= 1.000000
+dualbound = 3129180.826751, lowerbound=1232348.826751, norm of subgrad 1110.722660 dualbound = 3129180.826751, lowerbound=1232348.826751, norm of subgrad 38.167357 stepsize= 1.000000
+dualbound = 3129295.138534, lowerbound=1235420.138534, norm of subgrad 1112.094033 dualbound = 3129295.138534, lowerbound=1235420.138534, norm of subgrad 38.043551 stepsize= 1.000000
+dualbound = 3129397.884119, lowerbound=1232130.884119, norm of subgrad 1110.621395 dualbound = 3129397.884119, lowerbound=1232130.884119, norm of subgrad 38.101779 stepsize= 1.000000
+dualbound = 3129496.803506, lowerbound=1235540.803506, norm of subgrad 1112.155027 dualbound = 3129496.803506, lowerbound=1235540.803506, norm of subgrad 38.038394 stepsize= 1.000000
+dualbound = 3129591.413470, lowerbound=1226503.413470, norm of subgrad 1108.107582 dualbound = 3129591.413470, lowerbound=1226503.413470, norm of subgrad 38.647250 stepsize= 1.000000
+dualbound = 3129714.876637, lowerbound=1232235.876637, norm of subgrad 1110.684418 dualbound = 3129714.876637, lowerbound=1232235.876637, norm of subgrad 38.826063 stepsize= 1.000000
+dualbound = 3129819.617564, lowerbound=1231959.617564, norm of subgrad 1110.537986 dualbound = 3129819.617564, lowerbound=1231959.617564, norm of subgrad 37.943918 stepsize= 1.000000
+dualbound = 3129967.984602, lowerbound=1234367.984602, norm of subgrad 1111.620882 dualbound = 3129967.984602, lowerbound=1234367.984602, norm of subgrad 38.488531 stepsize= 1.000000
+dualbound = 3130050.979306, lowerbound=1227335.979306, norm of subgrad 1108.449358 dualbound = 3130050.979306, lowerbound=1227335.979306, norm of subgrad 37.509928 stepsize= 1.000000
+dualbound = 3130179.142739, lowerbound=1235880.142739, norm of subgrad 1112.322410 dualbound = 3130179.142739, lowerbound=1235880.142739, norm of subgrad 38.847953 stepsize= 1.000000
+dualbound = 3130253.208064, lowerbound=1233105.208064, norm of subgrad 1111.112599 dualbound = 3130253.208064, lowerbound=1233105.208064, norm of subgrad 39.243666 stepsize= 1.000000
+dualbound = 3130373.688470, lowerbound=1239393.688470, norm of subgrad 1113.895277 dualbound = 3130373.688470, lowerbound=1239393.688470, norm of subgrad 38.593787 stepsize= 1.000000
+dualbound = 3130478.874350, lowerbound=1233017.874350, norm of subgrad 1111.041347 dualbound = 3130478.874350, lowerbound=1233017.874350, norm of subgrad 38.732233 stepsize= 1.000000
+dualbound = 3130615.984759, lowerbound=1235061.984759, norm of subgrad 1111.918156 dualbound = 3130615.984759, lowerbound=1235061.984759, norm of subgrad 37.909239 stepsize= 1.000000
+dualbound = 3130696.022122, lowerbound=1229850.022122, norm of subgrad 1109.602642 dualbound = 3130696.022122, lowerbound=1229850.022122, norm of subgrad 38.053086 stepsize= 1.000000
+dualbound = 3130838.286627, lowerbound=1238844.286627, norm of subgrad 1113.632474 dualbound = 3130838.286627, lowerbound=1238844.286627, norm of subgrad 38.409172 stepsize= 1.000000
+dualbound = 3130909.803696, lowerbound=1232755.803696, norm of subgrad 1110.922951 dualbound = 3130909.803696, lowerbound=1232755.803696, norm of subgrad 38.282072 stepsize= 1.000000
+dualbound = 3131029.178309, lowerbound=1232004.178309, norm of subgrad 1110.567503 dualbound = 3131029.178309, lowerbound=1232004.178309, norm of subgrad 38.410605 stepsize= 1.000000
+dualbound = 3131144.391740, lowerbound=1234911.391740, norm of subgrad 1111.875169 dualbound = 3131144.391740, lowerbound=1234911.391740, norm of subgrad 38.343362 stepsize= 1.000000
+dualbound = 3131276.551692, lowerbound=1232885.551692, norm of subgrad 1110.982696 dualbound = 3131276.551692, lowerbound=1232885.551692, norm of subgrad 39.104475 stepsize= 1.000000
+dualbound = 3131335.208951, lowerbound=1233730.208951, norm of subgrad 1111.349274 dualbound = 3131335.208951, lowerbound=1233730.208951, norm of subgrad 37.757877 stepsize= 1.000000
+dualbound = 3131503.303267, lowerbound=1231371.303267, norm of subgrad 1110.271275 dualbound = 3131503.303267, lowerbound=1231371.303267, norm of subgrad 38.718139 stepsize= 1.000000
+dualbound = 3131590.663880, lowerbound=1230166.663880, norm of subgrad 1109.734952 dualbound = 3131590.663880, lowerbound=1230166.663880, norm of subgrad 37.846540 stepsize= 1.000000
+dualbound = 3131710.845525, lowerbound=1232650.845525, norm of subgrad 1110.841503 dualbound = 3131710.845525, lowerbound=1232650.845525, norm of subgrad 37.923365 stepsize= 1.000000
+dualbound = 3131795.256984, lowerbound=1228540.256984, norm of subgrad 1109.026265 dualbound = 3131795.256984, lowerbound=1228540.256984, norm of subgrad 38.515081 stepsize= 1.000000
+dualbound = 3131905.578131, lowerbound=1238391.578131, norm of subgrad 1113.440424 dualbound = 3131905.578131, lowerbound=1238391.578131, norm of subgrad 38.318679 stepsize= 1.000000
+dualbound = 3132030.960338, lowerbound=1230755.960338, norm of subgrad 1109.999532 dualbound = 3132030.960338, lowerbound=1230755.960338, norm of subgrad 38.319476 stepsize= 1.000000
+dualbound = 3132157.842994, lowerbound=1236477.842994, norm of subgrad 1112.564984 dualbound = 3132157.842994, lowerbound=1236477.842994, norm of subgrad 38.077325 stepsize= 1.000000
+dualbound = 3132247.638961, lowerbound=1229462.638961, norm of subgrad 1109.454208 dualbound = 3132247.638961, lowerbound=1229462.638961, norm of subgrad 38.933224 stepsize= 1.000000
+dualbound = 3132351.616962, lowerbound=1234862.616962, norm of subgrad 1111.868525 dualbound = 3132351.616962, lowerbound=1234862.616962, norm of subgrad 38.639074 stepsize= 1.000000
+dualbound = 3132440.348095, lowerbound=1229918.348095, norm of subgrad 1109.650552 dualbound = 3132440.348095, lowerbound=1229918.348095, norm of subgrad 38.661753 stepsize= 1.000000
+dualbound = 3132571.907488, lowerbound=1233852.907488, norm of subgrad 1111.399077 dualbound = 3132571.907488, lowerbound=1233852.907488, norm of subgrad 38.555926 stepsize= 1.000000
+dualbound = 3132685.058943, lowerbound=1235482.058943, norm of subgrad 1112.147499 dualbound = 3132685.058943, lowerbound=1235482.058943, norm of subgrad 38.770497 stepsize= 1.000000
+dualbound = 3132804.350817, lowerbound=1235838.350817, norm of subgrad 1112.293734 dualbound = 3132804.350817, lowerbound=1235838.350817, norm of subgrad 38.448561 stepsize= 1.000000
+dualbound = 3132886.973546, lowerbound=1233306.973546, norm of subgrad 1111.152093 dualbound = 3132886.973546, lowerbound=1233306.973546, norm of subgrad 37.876414 stepsize= 1.000000
+dualbound = 3133033.757043, lowerbound=1230802.757043, norm of subgrad 1110.031872 dualbound = 3133033.757043, lowerbound=1230802.757043, norm of subgrad 38.920220 stepsize= 1.000000
+dualbound = 3133097.841694, lowerbound=1235079.841694, norm of subgrad 1111.988688 dualbound = 3133097.841694, lowerbound=1235079.841694, norm of subgrad 38.769636 stepsize= 1.000000
+dualbound = 3133251.192223, lowerbound=1235137.192223, norm of subgrad 1111.951524 dualbound = 3133251.192223, lowerbound=1235137.192223, norm of subgrad 38.109717 stepsize= 1.000000
+dualbound = 3133363.017173, lowerbound=1235142.017173, norm of subgrad 1111.982022 dualbound = 3133363.017173, lowerbound=1235142.017173, norm of subgrad 38.390428 stepsize= 1.000000
+dualbound = 3133451.249589, lowerbound=1233337.249589, norm of subgrad 1111.155817 dualbound = 3133451.249589, lowerbound=1233337.249589, norm of subgrad 37.659427 stepsize= 1.000000
+dualbound = 3133580.494850, lowerbound=1225964.494850, norm of subgrad 1107.844978 dualbound = 3133580.494850, lowerbound=1225964.494850, norm of subgrad 38.538880 stepsize= 1.000000
+dualbound = 3133708.159357, lowerbound=1237602.159357, norm of subgrad 1113.042748 dualbound = 3133708.159357, lowerbound=1237602.159357, norm of subgrad 37.278204 stepsize= 1.000000
+dualbound = 3133808.400542, lowerbound=1229435.400542, norm of subgrad 1109.400920 dualbound = 3133808.400542, lowerbound=1229435.400542, norm of subgrad 37.884577 stepsize= 1.000000
+dualbound = 3133925.901161, lowerbound=1235558.901161, norm of subgrad 1112.152373 dualbound = 3133925.901161, lowerbound=1235558.901161, norm of subgrad 37.967099 stepsize= 1.000000
+dualbound = 3133999.737440, lowerbound=1231289.737440, norm of subgrad 1110.262463 dualbound = 3133999.737440, lowerbound=1231289.737440, norm of subgrad 38.299299 stepsize= 1.000000
+dualbound = 3134136.327926, lowerbound=1235732.327926, norm of subgrad 1112.231688 dualbound = 3134136.327926, lowerbound=1235732.327926, norm of subgrad 38.256901 stepsize= 1.000000
+dualbound = 3134235.631393, lowerbound=1228211.631393, norm of subgrad 1108.883958 dualbound = 3134235.631393, lowerbound=1228211.631393, norm of subgrad 38.875487 stepsize= 1.000000
+dualbound = 3134336.234913, lowerbound=1239596.234913, norm of subgrad 1113.998310 dualbound = 3134336.234913, lowerbound=1239596.234913, norm of subgrad 38.685960 stepsize= 1.000000
+dualbound = 3134429.034837, lowerbound=1229945.034837, norm of subgrad 1109.637344 dualbound = 3134429.034837, lowerbound=1229945.034837, norm of subgrad 37.984206 stepsize= 1.000000
+dualbound = 3134574.656505, lowerbound=1231009.656505, norm of subgrad 1110.127315 dualbound = 3134574.656505, lowerbound=1231009.656505, norm of subgrad 38.969497 stepsize= 1.000000
+dualbound = 3134656.553520, lowerbound=1228245.553520, norm of subgrad 1108.873552 dualbound = 3134656.553520, lowerbound=1228245.553520, norm of subgrad 37.906424 stepsize= 1.000000
+dualbound = 3134786.111690, lowerbound=1239645.111690, norm of subgrad 1113.971773 dualbound = 3134786.111690, lowerbound=1239645.111690, norm of subgrad 37.650474 stepsize= 1.000000
+dualbound = 3134900.646316, lowerbound=1234024.646317, norm of subgrad 1111.492081 dualbound = 3134900.646316, lowerbound=1234024.646317, norm of subgrad 38.788331 stepsize= 1.000000
+dualbound = 3134993.911511, lowerbound=1233646.911511, norm of subgrad 1111.287502 dualbound = 3134993.911511, lowerbound=1233646.911511, norm of subgrad 37.500203 stepsize= 1.000000
+dualbound = 3135136.690721, lowerbound=1230764.690721, norm of subgrad 1109.981392 dualbound = 3135136.690721, lowerbound=1230764.690721, norm of subgrad 37.904871 stepsize= 1.000000
+dualbound = 3135241.910345, lowerbound=1236777.910345, norm of subgrad 1112.704323 dualbound = 3135241.910345, lowerbound=1236777.910345, norm of subgrad 37.923866 stepsize= 1.000000
+dualbound = 3135325.754121, lowerbound=1232841.754121, norm of subgrad 1110.960285 dualbound = 3135325.754121, lowerbound=1232841.754121, norm of subgrad 38.403695 stepsize= 1.000000
+dualbound = 3135447.346105, lowerbound=1237535.346105, norm of subgrad 1113.059453 dualbound = 3135447.346105, lowerbound=1237535.346105, norm of subgrad 38.569314 stepsize= 1.000000
+dualbound = 3135564.104530, lowerbound=1237485.104530, norm of subgrad 1113.030595 dualbound = 3135564.104530, lowerbound=1237485.104530, norm of subgrad 38.324384 stepsize= 1.000000
+dualbound = 3135673.488734, lowerbound=1233979.488734, norm of subgrad 1111.460970 dualbound = 3135673.488734, lowerbound=1233979.488734, norm of subgrad 38.410730 stepsize= 1.000000
+dualbound = 3135758.484675, lowerbound=1230621.484675, norm of subgrad 1109.974542 dualbound = 3135758.484675, lowerbound=1230621.484675, norm of subgrad 38.820046 stepsize= 1.000000
+dualbound = 3135884.784727, lowerbound=1235944.784727, norm of subgrad 1112.333037 dualbound = 3135884.784727, lowerbound=1235944.784727, norm of subgrad 38.292298 stepsize= 1.000000
+dualbound = 3135994.384219, lowerbound=1229919.384219, norm of subgrad 1109.617224 dualbound = 3135994.384219, lowerbound=1229919.384219, norm of subgrad 37.955230 stepsize= 1.000000
+dualbound = 3136105.755157, lowerbound=1241194.755157, norm of subgrad 1114.689982 dualbound = 3136105.755157, lowerbound=1241194.755157, norm of subgrad 38.083736 stepsize= 1.000000
+dualbound = 3136229.795920, lowerbound=1227884.795920, norm of subgrad 1108.717185 dualbound = 3136229.795920, lowerbound=1227884.795920, norm of subgrad 38.639886 stepsize= 1.000000
+dualbound = 3136296.264007, lowerbound=1237681.264007, norm of subgrad 1113.163629 dualbound = 3136296.264007, lowerbound=1237681.264007, norm of subgrad 38.967526 stepsize= 1.000000
+dualbound = 3136430.142433, lowerbound=1231935.142433, norm of subgrad 1110.568837 dualbound = 3136430.142433, lowerbound=1231935.142433, norm of subgrad 39.520608 stepsize= 1.000000
+dualbound = 3136516.366011, lowerbound=1238246.366011, norm of subgrad 1113.389135 dualbound = 3136516.366011, lowerbound=1238246.366011, norm of subgrad 38.408639 stepsize= 1.000000
+dualbound = 3136663.720397, lowerbound=1235008.720397, norm of subgrad 1111.905446 dualbound = 3136663.720397, lowerbound=1235008.720397, norm of subgrad 38.371270 stepsize= 1.000000
+dualbound = 3136762.059895, lowerbound=1233783.059895, norm of subgrad 1111.400045 dualbound = 3136762.059895, lowerbound=1233783.059895, norm of subgrad 39.055595 stepsize= 1.000000
+dualbound = 3136854.687043, lowerbound=1235640.687043, norm of subgrad 1112.209822 dualbound = 3136854.687043, lowerbound=1235640.687043, norm of subgrad 38.244309 stepsize= 1.000000
+dualbound = 3136973.017603, lowerbound=1233372.017603, norm of subgrad 1111.180461 dualbound = 3136973.017603, lowerbound=1233372.017603, norm of subgrad 38.318802 stepsize= 1.000000
+dualbound = 3137094.628328, lowerbound=1229536.628328, norm of subgrad 1109.452400 dualbound = 3137094.628328, lowerbound=1229536.628328, norm of subgrad 38.335502 stepsize= 1.000000
+dualbound = 3137212.820325, lowerbound=1234135.820325, norm of subgrad 1111.486761 dualbound = 3137212.820325, lowerbound=1234135.820325, norm of subgrad 37.218168 stepsize= 1.000000
+dualbound = 3137337.706574, lowerbound=1227867.706574, norm of subgrad 1108.681517 dualbound = 3137337.706574, lowerbound=1227867.706574, norm of subgrad 37.840273 stepsize= 1.000000
+dualbound = 3137429.492291, lowerbound=1233803.492291, norm of subgrad 1111.349402 dualbound = 3137429.492291, lowerbound=1233803.492291, norm of subgrad 37.226143 stepsize= 1.000000
+dualbound = 3137549.912922, lowerbound=1236130.912922, norm of subgrad 1112.417598 dualbound = 3137549.912922, lowerbound=1236130.912922, norm of subgrad 38.241609 stepsize= 1.000000
+dualbound = 3137637.734741, lowerbound=1235005.734741, norm of subgrad 1111.898257 dualbound = 3137637.734741, lowerbound=1235005.734741, norm of subgrad 37.414193 stepsize= 1.000000
+dualbound = 3137742.751505, lowerbound=1231566.751505, norm of subgrad 1110.366945 dualbound = 3137742.751505, lowerbound=1231566.751505, norm of subgrad 38.118457 stepsize= 1.000000
+dualbound = 3137869.409536, lowerbound=1235228.409536, norm of subgrad 1112.037504 dualbound = 3137869.409536, lowerbound=1235228.409536, norm of subgrad 39.059673 stepsize= 1.000000
+dualbound = 3137945.795379, lowerbound=1231834.795379, norm of subgrad 1110.499345 dualbound = 3137945.795379, lowerbound=1231834.795379, norm of subgrad 38.083932 stepsize= 1.000000
+dualbound = 3138081.804092, lowerbound=1237264.804092, norm of subgrad 1112.936568 dualbound = 3138081.804092, lowerbound=1237264.804092, norm of subgrad 38.717034 stepsize= 1.000000
+dualbound = 3138176.478138, lowerbound=1233948.478138, norm of subgrad 1111.472212 dualbound = 3138176.478138, lowerbound=1233948.478138, norm of subgrad 38.944500 stepsize= 1.000000
+dualbound = 3138264.170929, lowerbound=1232334.170929, norm of subgrad 1110.743522 dualbound = 3138264.170929, lowerbound=1232334.170929, norm of subgrad 38.790370 stepsize= 1.000000
+dualbound = 3138413.913203, lowerbound=1235111.913203, norm of subgrad 1111.989619 dualbound = 3138413.913203, lowerbound=1235111.913203, norm of subgrad 39.480910 stepsize= 1.000000
+dualbound = 3138505.164796, lowerbound=1230770.164796, norm of subgrad 1110.033857 dualbound = 3138505.164796, lowerbound=1230770.164796, norm of subgrad 38.681411 stepsize= 1.000000
+dualbound = 3138613.933828, lowerbound=1231796.933828, norm of subgrad 1110.482748 dualbound = 3138613.933828, lowerbound=1231796.933828, norm of subgrad 38.519723 stepsize= 1.000000
+dualbound = 3138721.218117, lowerbound=1233679.218117, norm of subgrad 1111.329932 dualbound = 3138721.218117, lowerbound=1233679.218117, norm of subgrad 38.500445 stepsize= 1.000000
+dualbound = 3138834.147723, lowerbound=1234911.147723, norm of subgrad 1111.880905 dualbound = 3138834.147723, lowerbound=1234911.147723, norm of subgrad 38.482848 stepsize= 1.000000
+dualbound = 3138954.476402, lowerbound=1237583.476402, norm of subgrad 1113.067148 dualbound = 3138954.476402, lowerbound=1237583.476402, norm of subgrad 38.148770 stepsize= 1.000000
+dualbound = 3139064.184684, lowerbound=1230632.184684, norm of subgrad 1109.969452 dualbound = 3139064.184684, lowerbound=1230632.184684, norm of subgrad 38.854965 stepsize= 1.000000
+dualbound = 3139162.974706, lowerbound=1235275.974706, norm of subgrad 1112.064285 dualbound = 3139162.974706, lowerbound=1235275.974706, norm of subgrad 38.856017 stepsize= 1.000000
+dualbound = 3139269.581125, lowerbound=1229388.581125, norm of subgrad 1109.376663 dualbound = 3139269.581125, lowerbound=1229388.581125, norm of subgrad 37.876199 stepsize= 1.000000
+dualbound = 3139386.749450, lowerbound=1240311.749450, norm of subgrad 1114.317616 dualbound = 3139386.749450, lowerbound=1240311.749450, norm of subgrad 38.848016 stepsize= 1.000000
+dualbound = 3139501.170813, lowerbound=1232162.170813, norm of subgrad 1110.643584 dualbound = 3139501.170813, lowerbound=1232162.170813, norm of subgrad 38.489237 stepsize= 1.000000
+dualbound = 3139614.994954, lowerbound=1239857.994954, norm of subgrad 1114.093351 dualbound = 3139614.994954, lowerbound=1239857.994954, norm of subgrad 38.207645 stepsize= 1.000000
+dualbound = 3139743.492917, lowerbound=1233445.492917, norm of subgrad 1111.173026 dualbound = 3139743.492917, lowerbound=1233445.492917, norm of subgrad 37.262554 stepsize= 1.000000
+dualbound = 3139868.291195, lowerbound=1230411.291195, norm of subgrad 1109.828046 dualbound = 3139868.291195, lowerbound=1230411.291195, norm of subgrad 37.839110 stepsize= 1.000000
+dualbound = 3139939.599574, lowerbound=1235870.599574, norm of subgrad 1112.310029 dualbound = 3139939.599574, lowerbound=1235870.599574, norm of subgrad 37.872264 stepsize= 1.000000
+dualbound = 3140053.552877, lowerbound=1231284.552877, norm of subgrad 1110.253373 dualbound = 3140053.552877, lowerbound=1231284.552877, norm of subgrad 38.625811 stepsize= 1.000000
+dualbound = 3140164.420770, lowerbound=1230258.420770, norm of subgrad 1109.800172 dualbound = 3140164.420770, lowerbound=1230258.420770, norm of subgrad 38.844149 stepsize= 1.000000
+dualbound = 3140265.606586, lowerbound=1234162.606586, norm of subgrad 1111.562237 dualbound = 3140265.606586, lowerbound=1234162.606586, norm of subgrad 38.848241 stepsize= 1.000000
+dualbound = 3140364.316381, lowerbound=1235435.316382, norm of subgrad 1112.099508 dualbound = 3140364.316381, lowerbound=1235435.316382, norm of subgrad 37.798278 stepsize= 1.000000
+dualbound = 3140496.958220, lowerbound=1236483.958220, norm of subgrad 1112.600538 dualbound = 3140496.958220, lowerbound=1236483.958220, norm of subgrad 39.097850 stepsize= 1.000000
+dualbound = 3140577.169092, lowerbound=1232092.169092, norm of subgrad 1110.667443 dualbound = 3140577.169092, lowerbound=1232092.169092, norm of subgrad 39.625886 stepsize= 1.000000
+dualbound = 3140670.981342, lowerbound=1237487.981342, norm of subgrad 1113.051203 dualbound = 3140670.981342, lowerbound=1237487.981342, norm of subgrad 38.585130 stepsize= 1.000000
+dualbound = 3140812.865701, lowerbound=1230407.865701, norm of subgrad 1109.855786 dualbound = 3140812.865701, lowerbound=1230407.865701, norm of subgrad 38.908667 stepsize= 1.000000
+dualbound = 3140919.716017, lowerbound=1234764.716017, norm of subgrad 1111.813706 dualbound = 3140919.716017, lowerbound=1234764.716017, norm of subgrad 38.364701 stepsize= 1.000000
+dualbound = 3141031.503685, lowerbound=1230997.503685, norm of subgrad 1110.112834 dualbound = 3141031.503685, lowerbound=1230997.503685, norm of subgrad 38.272545 stepsize= 1.000000
+dualbound = 3141127.129577, lowerbound=1232454.129577, norm of subgrad 1110.770512 dualbound = 3141127.129577, lowerbound=1232454.129577, norm of subgrad 38.113330 stepsize= 1.000000
+dualbound = 3141270.883506, lowerbound=1228964.883506, norm of subgrad 1109.167653 dualbound = 3141270.883506, lowerbound=1228964.883506, norm of subgrad 37.838524 stepsize= 1.000000
+dualbound = 3141361.564657, lowerbound=1239663.564657, norm of subgrad 1114.021797 dualbound = 3141361.564657, lowerbound=1239663.564657, norm of subgrad 38.362497 stepsize= 1.000000
+dualbound = 3141452.632776, lowerbound=1233923.632776, norm of subgrad 1111.433144 dualbound = 3141452.632776, lowerbound=1233923.632776, norm of subgrad 38.092888 stepsize= 1.000000
+dualbound = 3141603.960591, lowerbound=1238697.960591, norm of subgrad 1113.551508 dualbound = 3141603.960591, lowerbound=1238697.960591, norm of subgrad 38.083170 stepsize= 1.000000
+dualbound = 3141696.174782, lowerbound=1225565.174782, norm of subgrad 1107.665191 dualbound = 3141696.174782, lowerbound=1225565.174782, norm of subgrad 38.068546 stepsize= 1.000000
+dualbound = 3141801.872816, lowerbound=1236375.872816, norm of subgrad 1112.526796 dualbound = 3141801.872816, lowerbound=1236375.872816, norm of subgrad 38.022336 stepsize= 1.000000
+dualbound = 3141924.152828, lowerbound=1230929.152828, norm of subgrad 1110.044212 dualbound = 3141924.152828, lowerbound=1230929.152828, norm of subgrad 37.299866 stepsize= 1.000000
+dualbound = 3142046.716630, lowerbound=1239148.716630, norm of subgrad 1113.758823 dualbound = 3142046.716630, lowerbound=1239148.716630, norm of subgrad 37.849225 stepsize= 1.000000
+dualbound = 3142124.766774, lowerbound=1233536.766774, norm of subgrad 1111.271689 dualbound = 3142124.766774, lowerbound=1233536.766774, norm of subgrad 38.289034 stepsize= 1.000000
+dualbound = 3142247.811020, lowerbound=1239224.811020, norm of subgrad 1113.805105 dualbound = 3142247.811020, lowerbound=1239224.811020, norm of subgrad 38.210525 stepsize= 1.000000
+dualbound = 3142349.444793, lowerbound=1226924.444793, norm of subgrad 1108.297995 dualbound = 3142349.444793, lowerbound=1226924.444793, norm of subgrad 38.750920 stepsize= 1.000000
+dualbound = 3142457.038045, lowerbound=1239232.038045, norm of subgrad 1113.812838 dualbound = 3142457.038045, lowerbound=1239232.038045, norm of subgrad 38.139130 stepsize= 1.000000
+dualbound = 3142562.487391, lowerbound=1232414.487391, norm of subgrad 1110.753117 dualbound = 3142562.487391, lowerbound=1232414.487391, norm of subgrad 38.255056 stepsize= 1.000000
+dualbound = 3142664.846100, lowerbound=1232799.846100, norm of subgrad 1110.973378 dualbound = 3142664.846100, lowerbound=1232799.846100, norm of subgrad 39.551975 stepsize= 1.000000
+dualbound = 3142774.827486, lowerbound=1233207.827486, norm of subgrad 1111.131328 dualbound = 3142774.827486, lowerbound=1233207.827486, norm of subgrad 38.922762 stepsize= 1.000000
+dualbound = 3142896.761525, lowerbound=1235537.761525, norm of subgrad 1112.167596 dualbound = 3142896.761525, lowerbound=1235537.761525, norm of subgrad 38.741890 stepsize= 1.000000
+dualbound = 3142995.094732, lowerbound=1234076.094732, norm of subgrad 1111.506678 dualbound = 3142995.094732, lowerbound=1234076.094732, norm of subgrad 38.331882 stepsize= 1.000000
+dualbound = 3143118.190348, lowerbound=1232792.190348, norm of subgrad 1110.927626 dualbound = 3143118.190348, lowerbound=1232792.190348, norm of subgrad 38.614707 stepsize= 1.000000
+dualbound = 3143225.678245, lowerbound=1230835.678245, norm of subgrad 1110.048052 dualbound = 3143225.678245, lowerbound=1230835.678245, norm of subgrad 38.451110 stepsize= 1.000000
+dualbound = 3143337.985585, lowerbound=1230442.985585, norm of subgrad 1109.870256 dualbound = 3143337.985585, lowerbound=1230442.985585, norm of subgrad 38.487756 stepsize= 1.000000
+dualbound = 3143462.942709, lowerbound=1228560.942709, norm of subgrad 1109.008991 dualbound = 3143462.942709, lowerbound=1228560.942709, norm of subgrad 38.274758 stepsize= 1.000000
+dualbound = 3143563.297578, lowerbound=1234493.297578, norm of subgrad 1111.683542 dualbound = 3143563.297578, lowerbound=1234493.297578, norm of subgrad 38.044117 stepsize= 1.000000
+dualbound = 3143680.084680, lowerbound=1238650.084680, norm of subgrad 1113.531358 dualbound = 3143680.084680, lowerbound=1238650.084680, norm of subgrad 37.666790 stepsize= 1.000000
+dualbound = 3143819.639591, lowerbound=1236478.639591, norm of subgrad 1112.551859 dualbound = 3143819.639591, lowerbound=1236478.639591, norm of subgrad 37.849107 stepsize= 1.000000
+dualbound = 3143901.301946, lowerbound=1232045.301946, norm of subgrad 1110.591870 dualbound = 3143901.301946, lowerbound=1232045.301946, norm of subgrad 38.087562 stepsize= 1.000000
+dualbound = 3144011.978886, lowerbound=1233215.978886, norm of subgrad 1111.118346 dualbound = 3144011.978886, lowerbound=1233215.978886, norm of subgrad 38.453569 stepsize= 1.000000
+dualbound = 3144123.118898, lowerbound=1232891.118898, norm of subgrad 1110.947847 dualbound = 3144123.118898, lowerbound=1232891.118898, norm of subgrad 37.751027 stepsize= 1.000000
+dualbound = 3144239.907039, lowerbound=1235004.907039, norm of subgrad 1111.906429 dualbound = 3144239.907039, lowerbound=1235004.907039, norm of subgrad 38.049811 stepsize= 1.000000
+dualbound = 3144325.834203, lowerbound=1230938.834203, norm of subgrad 1110.095417 dualbound = 3144325.834203, lowerbound=1230938.834203, norm of subgrad 38.195905 stepsize= 1.000000
+dualbound = 3144445.794837, lowerbound=1237085.794837, norm of subgrad 1112.845360 dualbound = 3144445.794837, lowerbound=1237085.794837, norm of subgrad 38.196343 stepsize= 1.000000
+dualbound = 3144553.766137, lowerbound=1232309.766137, norm of subgrad 1110.713629 dualbound = 3144553.766137, lowerbound=1232309.766137, norm of subgrad 38.509366 stepsize= 1.000000
+dualbound = 3144653.012181, lowerbound=1231063.012181, norm of subgrad 1110.157652 dualbound = 3144653.012181, lowerbound=1231063.012181, norm of subgrad 38.551862 stepsize= 1.000000
+dualbound = 3144773.157181, lowerbound=1236006.157181, norm of subgrad 1112.362422 dualbound = 3144773.157181, lowerbound=1236006.157181, norm of subgrad 38.264148 stepsize= 1.000000
+dualbound = 3144898.864925, lowerbound=1234494.864925, norm of subgrad 1111.698639 dualbound = 3144898.864925, lowerbound=1234494.864925, norm of subgrad 38.790563 stepsize= 1.000000
+dualbound = 3145003.114665, lowerbound=1234671.114665, norm of subgrad 1111.777907 dualbound = 3145003.114665, lowerbound=1234671.114665, norm of subgrad 38.512981 stepsize= 1.000000
+dualbound = 3145103.208833, lowerbound=1231791.208833, norm of subgrad 1110.487825 dualbound = 3145103.208833, lowerbound=1231791.208833, norm of subgrad 38.627635 stepsize= 1.000000
+dualbound = 3145195.317269, lowerbound=1235347.317269, norm of subgrad 1112.099059 dualbound = 3145195.317269, lowerbound=1235347.317269, norm of subgrad 38.847245 stepsize= 1.000000
+dualbound = 3145312.572293, lowerbound=1239814.572293, norm of subgrad 1114.105279 dualbound = 3145312.572293, lowerbound=1239814.572293, norm of subgrad 39.156800 stepsize= 1.000000
+dualbound = 3145405.641470, lowerbound=1233334.641470, norm of subgrad 1111.152393 dualbound = 3145405.641470, lowerbound=1233334.641470, norm of subgrad 37.657259 stepsize= 1.000000
+dualbound = 3145550.220436, lowerbound=1237439.220436, norm of subgrad 1113.000548 dualbound = 3145550.220436, lowerbound=1237439.220436, norm of subgrad 38.413265 stepsize= 1.000000
+dualbound = 3145649.524772, lowerbound=1226050.524772, norm of subgrad 1107.906821 dualbound = 3145649.524772, lowerbound=1226050.524772, norm of subgrad 38.811137 stepsize= 1.000000
+dualbound = 3145751.318505, lowerbound=1236518.318505, norm of subgrad 1112.573736 dualbound = 3145751.318505, lowerbound=1236518.318505, norm of subgrad 37.467235 stepsize= 1.000000
+dualbound = 3145893.775460, lowerbound=1239079.775460, norm of subgrad 1113.712609 dualbound = 3145893.775460, lowerbound=1239079.775460, norm of subgrad 37.662408 stepsize= 1.000000
+dualbound = 3145989.772741, lowerbound=1234879.772741, norm of subgrad 1111.842063 dualbound = 3145989.772741, lowerbound=1234879.772741, norm of subgrad 37.536613 stepsize= 1.000000
+dualbound = 3146108.008788, lowerbound=1232637.008788, norm of subgrad 1110.843827 dualbound = 3146108.008788, lowerbound=1232637.008788, norm of subgrad 38.147556 stepsize= 1.000000
+dualbound = 3146201.972543, lowerbound=1233733.972543, norm of subgrad 1111.340619 dualbound = 3146201.972543, lowerbound=1233733.972543, norm of subgrad 37.920493 stepsize= 1.000000
+dualbound = 3146306.429140, lowerbound=1233552.429140, norm of subgrad 1111.305282 dualbound = 3146306.429140, lowerbound=1233552.429140, norm of subgrad 39.388534 stepsize= 1.000000
+dualbound = 3146399.266811, lowerbound=1239459.266811, norm of subgrad 1113.952542 dualbound = 3146399.266811, lowerbound=1239459.266811, norm of subgrad 39.036363 stepsize= 1.000000
+dualbound = 3146516.806716, lowerbound=1233774.806716, norm of subgrad 1111.373838 dualbound = 3146516.806716, lowerbound=1233774.806716, norm of subgrad 38.659280 stepsize= 1.000000
+dualbound = 3146643.332220, lowerbound=1233126.332220, norm of subgrad 1111.092855 dualbound = 3146643.332220, lowerbound=1233126.332220, norm of subgrad 39.083571 stepsize= 1.000000
+dualbound = 3146733.547901, lowerbound=1235175.547901, norm of subgrad 1112.012387 dualbound = 3146733.547901, lowerbound=1235175.547901, norm of subgrad 38.551468 stepsize= 1.000000
+dualbound = 3146857.759993, lowerbound=1231201.759993, norm of subgrad 1110.209782 dualbound = 3146857.759993, lowerbound=1231201.759993, norm of subgrad 38.577352 stepsize= 1.000000
+dualbound = 3146954.893078, lowerbound=1235499.893078, norm of subgrad 1112.127193 dualbound = 3146954.893078, lowerbound=1235499.893078, norm of subgrad 37.737688 stepsize= 1.000000
+dualbound = 3147089.557570, lowerbound=1236623.557570, norm of subgrad 1112.673158 dualbound = 3147089.557570, lowerbound=1236623.557570, norm of subgrad 39.403864 stepsize= 1.000000
+dualbound = 3147155.042496, lowerbound=1232301.042496, norm of subgrad 1110.687644 dualbound = 3147155.042496, lowerbound=1232301.042496, norm of subgrad 37.302613 stepsize= 1.000000
+dualbound = 3147306.302635, lowerbound=1233216.302635, norm of subgrad 1111.125692 dualbound = 3147306.302635, lowerbound=1233216.302635, norm of subgrad 39.182396 stepsize= 1.000000
+dualbound = 3147394.780122, lowerbound=1234494.780122, norm of subgrad 1111.648677 dualbound = 3147394.780122, lowerbound=1234494.780122, norm of subgrad 36.830388 stepsize= 1.000000
+dualbound = 3147537.318396, lowerbound=1238266.318396, norm of subgrad 1113.368456 dualbound = 3147537.318396, lowerbound=1238266.318396, norm of subgrad 38.282349 stepsize= 1.000000
+dualbound = 3147615.488528, lowerbound=1237753.488528, norm of subgrad 1113.141271 dualbound = 3147615.488528, lowerbound=1237753.488528, norm of subgrad 37.525593 stepsize= 1.000000
+dualbound = 3147741.436976, lowerbound=1235213.436976, norm of subgrad 1112.055051 dualbound = 3147741.436976, lowerbound=1235213.436976, norm of subgrad 39.735984 stepsize= 1.000000
+dualbound = 3147798.870488, lowerbound=1231829.870488, norm of subgrad 1110.502531 dualbound = 3147798.870488, lowerbound=1231829.870488, norm of subgrad 37.992545 stepsize= 1.000000
+dualbound = 3147957.234607, lowerbound=1235660.234607, norm of subgrad 1112.175901 dualbound = 3147957.234607, lowerbound=1235660.234607, norm of subgrad 37.859796 stepsize= 1.000000
+dualbound = 3148093.036438, lowerbound=1240171.036438, norm of subgrad 1114.240565 dualbound = 3148093.036438, lowerbound=1240171.036438, norm of subgrad 38.688523 stepsize= 1.000000
+dualbound = 3148153.071173, lowerbound=1227243.071173, norm of subgrad 1108.431807 dualbound = 3148153.071173, lowerbound=1227243.071173, norm of subgrad 37.921428 stepsize= 1.000000
+dualbound = 3148279.337698, lowerbound=1239170.337698, norm of subgrad 1113.796812 dualbound = 3148279.337698, lowerbound=1239170.337698, norm of subgrad 38.720363 stepsize= 1.000000
+dualbound = 3148384.205144, lowerbound=1232716.205144, norm of subgrad 1110.897927 dualbound = 3148384.205144, lowerbound=1232716.205144, norm of subgrad 38.508018 stepsize= 1.000000
+dualbound = 3148493.427235, lowerbound=1233914.427235, norm of subgrad 1111.409208 dualbound = 3148493.427235, lowerbound=1233914.427235, norm of subgrad 37.752114 stepsize= 1.000000
+dualbound = 3148634.153193, lowerbound=1239328.153193, norm of subgrad 1113.825908 dualbound = 3148634.153193, lowerbound=1239328.153193, norm of subgrad 37.692519 stepsize= 1.000000
+dualbound = 3148714.278390, lowerbound=1229283.278390, norm of subgrad 1109.342273 dualbound = 3148714.278390, lowerbound=1229283.278390, norm of subgrad 37.909434 stepsize= 1.000000
+dualbound = 3148830.622800, lowerbound=1236678.622800, norm of subgrad 1112.682175 dualbound = 3148830.622800, lowerbound=1236678.622800, norm of subgrad 38.721369 stepsize= 1.000000
+dualbound = 3148939.403471, lowerbound=1234353.403471, norm of subgrad 1111.606227 dualbound = 3148939.403471, lowerbound=1234353.403471, norm of subgrad 37.733018 stepsize= 1.000000
+dualbound = 3149041.170323, lowerbound=1234631.170323, norm of subgrad 1111.775234 dualbound = 3149041.170323, lowerbound=1234631.170323, norm of subgrad 38.920006 stepsize= 1.000000
+dualbound = 3149143.174108, lowerbound=1233980.174108, norm of subgrad 1111.457230 dualbound = 3149143.174108, lowerbound=1233980.174108, norm of subgrad 38.196908 stepsize= 1.000000
+dualbound = 3149259.017688, lowerbound=1233706.017688, norm of subgrad 1111.344689 dualbound = 3149259.017688, lowerbound=1233706.017688, norm of subgrad 38.689063 stepsize= 1.000000
+dualbound = 3149366.114993, lowerbound=1231115.114993, norm of subgrad 1110.186523 dualbound = 3149366.114993, lowerbound=1231115.114993, norm of subgrad 38.808470 stepsize= 1.000000
+dualbound = 3149478.121383, lowerbound=1240214.121383, norm of subgrad 1114.275604 dualbound = 3149478.121383, lowerbound=1240214.121383, norm of subgrad 38.833058 stepsize= 1.000000
+dualbound = 3149604.407406, lowerbound=1230582.407406, norm of subgrad 1109.907837 dualbound = 3149604.407406, lowerbound=1230582.407406, norm of subgrad 37.937923 stepsize= 1.000000
+dualbound = 3149735.804664, lowerbound=1238061.804664, norm of subgrad 1113.270320 dualbound = 3149735.804664, lowerbound=1238061.804664, norm of subgrad 37.952566 stepsize= 1.000000
+dualbound = 3149840.000983, lowerbound=1228826.000983, norm of subgrad 1109.137503 dualbound = 3149840.000983, lowerbound=1228826.000983, norm of subgrad 38.264818 stepsize= 1.000000
+dualbound = 3149929.531949, lowerbound=1236946.531949, norm of subgrad 1112.795818 dualbound = 3149929.531949, lowerbound=1236946.531949, norm of subgrad 38.177624 stepsize= 1.000000
+dualbound = 3150040.122776, lowerbound=1231178.122776, norm of subgrad 1110.230662 dualbound = 3150040.122776, lowerbound=1231178.122776, norm of subgrad 39.301283 stepsize= 1.000000
+dualbound = 3150146.045389, lowerbound=1237774.045389, norm of subgrad 1113.195421 dualbound = 3150146.045389, lowerbound=1237774.045389, norm of subgrad 39.190849 stepsize= 1.000000
+dualbound = 3150241.607398, lowerbound=1232603.607398, norm of subgrad 1110.843197 dualbound = 3150241.607398, lowerbound=1232603.607398, norm of subgrad 38.269596 stepsize= 1.000000
+dualbound = 3150373.219102, lowerbound=1238054.219102, norm of subgrad 1113.286225 dualbound = 3150373.219102, lowerbound=1238054.219102, norm of subgrad 38.517680 stepsize= 1.000000
+dualbound = 3150454.114688, lowerbound=1229455.114688, norm of subgrad 1109.395382 dualbound = 3150454.114688, lowerbound=1229455.114688, norm of subgrad 37.200747 stepsize= 1.000000
+dualbound = 3150619.262027, lowerbound=1235124.262027, norm of subgrad 1111.949307 dualbound = 3150619.262027, lowerbound=1235124.262027, norm of subgrad 38.368572 stepsize= 1.000000
+dualbound = 3150682.285143, lowerbound=1235990.285143, norm of subgrad 1112.358883 dualbound = 3150682.285143, lowerbound=1235990.285143, norm of subgrad 37.616793 stepsize= 1.000000
+dualbound = 3150831.634121, lowerbound=1234221.634121, norm of subgrad 1111.522215 dualbound = 3150831.634121, lowerbound=1234221.634121, norm of subgrad 37.541297 stepsize= 1.000000
+dualbound = 3150942.451099, lowerbound=1230095.451099, norm of subgrad 1109.692052 dualbound = 3150942.451099, lowerbound=1230095.451099, norm of subgrad 37.839358 stepsize= 1.000000
+dualbound = 3151024.039806, lowerbound=1234015.039806, norm of subgrad 1111.479212 dualbound = 3151024.039806, lowerbound=1234015.039806, norm of subgrad 38.112842 stepsize= 1.000000
+dualbound = 3151122.309230, lowerbound=1237291.309230, norm of subgrad 1112.971387 dualbound = 3151122.309230, lowerbound=1237291.309230, norm of subgrad 38.887908 stepsize= 1.000000
+dualbound = 3151232.174276, lowerbound=1236902.174276, norm of subgrad 1112.800600 dualbound = 3151232.174276, lowerbound=1236902.174276, norm of subgrad 39.151820 stepsize= 1.000000
+dualbound = 3151333.016152, lowerbound=1231762.016152, norm of subgrad 1110.498994 dualbound = 3151333.016152, lowerbound=1231762.016152, norm of subgrad 39.329911 stepsize= 1.000000
+dualbound = 3151454.847105, lowerbound=1235303.847105, norm of subgrad 1112.070523 dualbound = 3151454.847105, lowerbound=1235303.847105, norm of subgrad 38.972182 stepsize= 1.000000
+dualbound = 3151563.254184, lowerbound=1233670.254184, norm of subgrad 1111.316901 dualbound = 3151563.254184, lowerbound=1233670.254184, norm of subgrad 38.254504 stepsize= 1.000000
+dualbound = 3151689.313023, lowerbound=1235823.313023, norm of subgrad 1112.294616 dualbound = 3151689.313023, lowerbound=1235823.313023, norm of subgrad 38.756404 stepsize= 1.000000
+dualbound = 3151791.941593, lowerbound=1233492.941593, norm of subgrad 1111.225873 dualbound = 3151791.941593, lowerbound=1233492.941593, norm of subgrad 37.850080 stepsize= 1.000000
+dualbound = 3151911.940248, lowerbound=1234396.940248, norm of subgrad 1111.653696 dualbound = 3151911.940248, lowerbound=1234396.940248, norm of subgrad 38.691067 stepsize= 1.000000
+dualbound = 3152004.554402, lowerbound=1237385.554402, norm of subgrad 1112.981381 dualbound = 3152004.554402, lowerbound=1237385.554402, norm of subgrad 37.876301 stepsize= 1.000000
+dualbound = 3152136.553361, lowerbound=1232536.553361, norm of subgrad 1110.804912 dualbound = 3152136.553361, lowerbound=1232536.553361, norm of subgrad 38.509726 stepsize= 1.000000
+dualbound = 3152208.703984, lowerbound=1232881.703984, norm of subgrad 1110.960262 dualbound = 3152208.703984, lowerbound=1232881.703984, norm of subgrad 37.724669 stepsize= 1.000000
+dualbound = 3152346.541835, lowerbound=1231852.541835, norm of subgrad 1110.505084 dualbound = 3152346.541835, lowerbound=1231852.541835, norm of subgrad 38.818009 stepsize= 1.000000
+dualbound = 3152452.350034, lowerbound=1239410.350034, norm of subgrad 1113.903654 dualbound = 3152452.350034, lowerbound=1239410.350034, norm of subgrad 38.429262 stepsize= 1.000000
+dualbound = 3152570.346543, lowerbound=1232577.346543, norm of subgrad 1110.840829 dualbound = 3152570.346543, lowerbound=1232577.346543, norm of subgrad 38.832931 stepsize= 1.000000
+dualbound = 3152660.449189, lowerbound=1236353.449189, norm of subgrad 1112.556268 dualbound = 3152660.449189, lowerbound=1236353.449189, norm of subgrad 38.962837 stepsize= 1.000000
+dualbound = 3152760.758063, lowerbound=1236933.758063, norm of subgrad 1112.806703 dualbound = 3152760.758063, lowerbound=1236933.758063, norm of subgrad 38.798310 stepsize= 1.000000
+dualbound = 3152880.332116, lowerbound=1238270.332116, norm of subgrad 1113.421453 dualbound = 3152880.332116, lowerbound=1238270.332116, norm of subgrad 39.453442 stepsize= 1.000000
+dualbound = 3152975.500956, lowerbound=1236967.500956, norm of subgrad 1112.841633 dualbound = 3152975.500956, lowerbound=1236967.500956, norm of subgrad 39.295914 stepsize= 1.000000
+dualbound = 3153074.367158, lowerbound=1232691.367158, norm of subgrad 1110.898000 dualbound = 3153074.367158, lowerbound=1232691.367158, norm of subgrad 38.753919 stepsize= 1.000000
+dualbound = 3153214.252163, lowerbound=1236493.252163, norm of subgrad 1112.597974 dualbound = 3153214.252163, lowerbound=1236493.252163, norm of subgrad 38.998526 stepsize= 1.000000
+dualbound = 3153327.658665, lowerbound=1234026.658665, norm of subgrad 1111.470944 dualbound = 3153327.658665, lowerbound=1234026.658665, norm of subgrad 38.136682 stepsize= 1.000000
+dualbound = 3153449.271847, lowerbound=1234778.271847, norm of subgrad 1111.786073 dualbound = 3153449.271847, lowerbound=1234778.271847, norm of subgrad 37.571441 stepsize= 1.000000
+dualbound = 3153563.103897, lowerbound=1232202.103897, norm of subgrad 1110.626447 dualbound = 3153563.103897, lowerbound=1232202.103897, norm of subgrad 37.454400 stepsize= 1.000000
+dualbound = 3153659.957756, lowerbound=1234665.957756, norm of subgrad 1111.759397 dualbound = 3153659.957756, lowerbound=1234665.957756, norm of subgrad 37.945406 stepsize= 1.000000
+dualbound = 3153781.061881, lowerbound=1234213.061881, norm of subgrad 1111.551646 dualbound = 3153781.061881, lowerbound=1234213.061881, norm of subgrad 38.145827 stepsize= 1.000000
+dualbound = 3153884.399019, lowerbound=1233510.399019, norm of subgrad 1111.217080 dualbound = 3153884.399019, lowerbound=1233510.399019, norm of subgrad 37.367595 stepsize= 1.000000
+dualbound = 3154009.308711, lowerbound=1233295.308711, norm of subgrad 1111.145944 dualbound = 3154009.308711, lowerbound=1233295.308711, norm of subgrad 38.404553 stepsize= 1.000000
+dualbound = 3154090.189360, lowerbound=1237873.189360, norm of subgrad 1113.207613 dualbound = 3154090.189360, lowerbound=1237873.189360, norm of subgrad 37.932580 stepsize= 1.000000
+dualbound = 3154212.022872, lowerbound=1236654.022872, norm of subgrad 1112.687298 dualbound = 3154212.022872, lowerbound=1236654.022872, norm of subgrad 39.253452 stepsize= 1.000000
+dualbound = 3154321.558034, lowerbound=1243074.558034, norm of subgrad 1115.547201 dualbound = 3154321.558034, lowerbound=1243074.558034, norm of subgrad 38.477723 stepsize= 1.000000
+dualbound = 3154421.260457, lowerbound=1235260.260457, norm of subgrad 1112.040134 dualbound = 3154421.260457, lowerbound=1235260.260457, norm of subgrad 38.375805 stepsize= 1.000000
+dualbound = 3154553.428882, lowerbound=1233167.428882, norm of subgrad 1111.070848 dualbound = 3154553.428882, lowerbound=1233167.428882, norm of subgrad 37.989057 stepsize= 1.000000
+dualbound = 3154661.229022, lowerbound=1233162.229022, norm of subgrad 1111.097309 dualbound = 3154661.229022, lowerbound=1233162.229022, norm of subgrad 38.507144 stepsize= 1.000000
+dualbound = 3154749.313244, lowerbound=1232170.313244, norm of subgrad 1110.640497 dualbound = 3154749.313244, lowerbound=1232170.313244, norm of subgrad 37.948442 stepsize= 1.000000
+dualbound = 3154859.108241, lowerbound=1237615.108241, norm of subgrad 1113.095283 dualbound = 3154859.108241, lowerbound=1237615.108241, norm of subgrad 38.416077 stepsize= 1.000000
+dualbound = 3154959.254697, lowerbound=1236793.254697, norm of subgrad 1112.711218 dualbound = 3154959.254697, lowerbound=1236793.254697, norm of subgrad 37.856921 stepsize= 1.000000
+dualbound = 3155061.271776, lowerbound=1232792.271776, norm of subgrad 1110.972219 dualbound = 3155061.271776, lowerbound=1232792.271776, norm of subgrad 39.610820 stepsize= 1.000000
+dualbound = 3155157.143748, lowerbound=1234455.143748, norm of subgrad 1111.720353 dualbound = 3155157.143748, lowerbound=1234455.143748, norm of subgrad 39.533176 stepsize= 1.000000
+dualbound = 3155290.455882, lowerbound=1237415.455882, norm of subgrad 1112.992568 dualbound = 3155290.455882, lowerbound=1237415.455882, norm of subgrad 38.344649 stepsize= 1.000000
+dualbound = 3155435.654871, lowerbound=1236267.654871, norm of subgrad 1112.474564 dualbound = 3155435.654871, lowerbound=1236267.654871, norm of subgrad 38.434346 stepsize= 1.000000
+dualbound = 3155511.246659, lowerbound=1236308.246659, norm of subgrad 1112.522470 dualbound = 3155511.246659, lowerbound=1236308.246659, norm of subgrad 38.387391 stepsize= 1.000000
+dualbound = 3155614.455487, lowerbound=1234835.455487, norm of subgrad 1111.813139 dualbound = 3155614.455487, lowerbound=1234835.455487, norm of subgrad 37.365878 stepsize= 1.000000
+dualbound = 3155774.922926, lowerbound=1232279.922926, norm of subgrad 1110.663281 dualbound = 3155774.922926, lowerbound=1232279.922926, norm of subgrad 38.124368 stepsize= 1.000000
+dualbound = 3155846.165761, lowerbound=1236295.165761, norm of subgrad 1112.512546 dualbound = 3155846.165761, lowerbound=1236295.165761, norm of subgrad 38.213124 stepsize= 1.000000
+dualbound = 3155941.947518, lowerbound=1236483.947518, norm of subgrad 1112.617161 dualbound = 3155941.947518, lowerbound=1236483.947518, norm of subgrad 39.099639 stepsize= 1.000000
+dualbound = 3156035.728830, lowerbound=1238005.728830, norm of subgrad 1113.289598 dualbound = 3156035.728830, lowerbound=1238005.728830, norm of subgrad 38.752823 stepsize= 1.000000
+dualbound = 3156170.060511, lowerbound=1231445.060511, norm of subgrad 1110.308093 dualbound = 3156170.060511, lowerbound=1231445.060511, norm of subgrad 38.384003 stepsize= 1.000000
+dualbound = 3156310.825082, lowerbound=1236976.825082, norm of subgrad 1112.789210 dualbound = 3156310.825082, lowerbound=1236976.825082, norm of subgrad 38.259176 stepsize= 1.000000
+dualbound = 3156381.013211, lowerbound=1233639.013211, norm of subgrad 1111.327140 dualbound = 3156381.013211, lowerbound=1233639.013211, norm of subgrad 38.460215 stepsize= 1.000000
+dualbound = 3156517.388141, lowerbound=1236026.388141, norm of subgrad 1112.357132 dualbound = 3156517.388141, lowerbound=1236026.388141, norm of subgrad 38.057521 stepsize= 1.000000
+dualbound = 3156612.241944, lowerbound=1234032.241944, norm of subgrad 1111.487401 dualbound = 3156612.241944, lowerbound=1234032.241944, norm of subgrad 38.299527 stepsize= 1.000000
+dualbound = 3156710.571071, lowerbound=1236739.571071, norm of subgrad 1112.702822 dualbound = 3156710.571071, lowerbound=1236739.571071, norm of subgrad 38.292677 stepsize= 1.000000
+dualbound = 3156832.304162, lowerbound=1237548.304162, norm of subgrad 1113.067969 dualbound = 3156832.304162, lowerbound=1237548.304162, norm of subgrad 38.648843 stepsize= 1.000000
+dualbound = 3156939.168920, lowerbound=1232990.168920, norm of subgrad 1110.993775 dualbound = 3156939.168920, lowerbound=1232990.168920, norm of subgrad 37.734133 stepsize= 1.000000
+dualbound = 3157041.458621, lowerbound=1235373.458621, norm of subgrad 1112.077092 dualbound = 3157041.458621, lowerbound=1235373.458621, norm of subgrad 38.003812 stepsize= 1.000000
+dualbound = 3157165.679626, lowerbound=1234186.679626, norm of subgrad 1111.576664 dualbound = 3157165.679626, lowerbound=1234186.679626, norm of subgrad 39.245650 stepsize= 1.000000
+dualbound = 3157242.251011, lowerbound=1234700.251011, norm of subgrad 1111.791460 dualbound = 3157242.251011, lowerbound=1234700.251011, norm of subgrad 38.165054 stepsize= 1.000000
+dualbound = 3157387.014787, lowerbound=1236499.014787, norm of subgrad 1112.585734 dualbound = 3157387.014787, lowerbound=1236499.014787, norm of subgrad 38.636301 stepsize= 1.000000
+dualbound = 3157465.537882, lowerbound=1230917.537882, norm of subgrad 1110.101139 dualbound = 3157465.537882, lowerbound=1230917.537882, norm of subgrad 38.542484 stepsize= 1.000000
+dualbound = 3157571.092404, lowerbound=1234922.092404, norm of subgrad 1111.889874 dualbound = 3157571.092404, lowerbound=1234922.092404, norm of subgrad 38.503955 stepsize= 1.000000
+dualbound = 3157688.863419, lowerbound=1234329.863419, norm of subgrad 1111.624426 dualbound = 3157688.863419, lowerbound=1234329.863419, norm of subgrad 38.688125 stepsize= 1.000000
+dualbound = 3157830.070726, lowerbound=1233271.070726, norm of subgrad 1111.149437 dualbound = 3157830.070726, lowerbound=1233271.070726, norm of subgrad 39.028289 stepsize= 1.000000
+dualbound = 3157933.569721, lowerbound=1237285.569721, norm of subgrad 1112.940955 dualbound = 3157933.569721, lowerbound=1237285.569721, norm of subgrad 38.151003 stepsize= 1.000000
+dualbound = 3158031.472113, lowerbound=1231493.472113, norm of subgrad 1110.337549 dualbound = 3158031.472113, lowerbound=1231493.472113, norm of subgrad 38.130072 stepsize= 1.000000
+dualbound = 3158148.730008, lowerbound=1233818.730008, norm of subgrad 1111.409344 dualbound = 3158148.730008, lowerbound=1233818.730008, norm of subgrad 39.105727 stepsize= 1.000000
+dualbound = 3158244.240005, lowerbound=1233469.240005, norm of subgrad 1111.239956 dualbound = 3158244.240005, lowerbound=1233469.240005, norm of subgrad 38.477396 stepsize= 1.000000
+dualbound = 3158367.671024, lowerbound=1232013.671024, norm of subgrad 1110.578530 dualbound = 3158367.671024, lowerbound=1232013.671024, norm of subgrad 38.657871 stepsize= 1.000000
+dualbound = 3158485.708561, lowerbound=1242217.708561, norm of subgrad 1115.138874 dualbound = 3158485.708561, lowerbound=1242217.708561, norm of subgrad 37.881889 stepsize= 1.000000
+dualbound = 3158595.232920, lowerbound=1232397.232920, norm of subgrad 1110.721492 dualbound = 3158595.232920, lowerbound=1232397.232920, norm of subgrad 37.610163 stepsize= 1.000000
+dualbound = 3158710.318329, lowerbound=1237118.318329, norm of subgrad 1112.838856 dualbound = 3158710.318329, lowerbound=1237118.318329, norm of subgrad 37.511137 stepsize= 1.000000
+dualbound = 3158808.668067, lowerbound=1233154.668067, norm of subgrad 1111.074106 dualbound = 3158808.668067, lowerbound=1233154.668067, norm of subgrad 37.806742 stepsize= 1.000000
+dualbound = 3158926.477754, lowerbound=1236915.477754, norm of subgrad 1112.776922 dualbound = 3158926.477754, lowerbound=1236915.477754, norm of subgrad 38.403251 stepsize= 1.000000
+dualbound = 3159024.578769, lowerbound=1239525.578768, norm of subgrad 1113.972881 dualbound = 3159024.578769, lowerbound=1239525.578768, norm of subgrad 38.834276 stepsize= 1.000000
+dualbound = 3159100.626763, lowerbound=1237636.626763, norm of subgrad 1113.138189 dualbound = 3159100.626763, lowerbound=1237636.626763, norm of subgrad 38.936461 stepsize= 1.000000
+dualbound = 3159216.805954, lowerbound=1240102.805954, norm of subgrad 1114.225653 dualbound = 3159216.805954, lowerbound=1240102.805954, norm of subgrad 38.886748 stepsize= 1.000000
+dualbound = 3159354.143299, lowerbound=1235224.143299, norm of subgrad 1112.022996 dualbound = 3159354.143299, lowerbound=1235224.143299, norm of subgrad 38.837319 stepsize= 1.000000
+dualbound = 3159441.810811, lowerbound=1231125.810811, norm of subgrad 1110.152607 dualbound = 3159441.810811, lowerbound=1231125.810811, norm of subgrad 37.425493 stepsize= 1.000000
+dualbound = 3159582.287019, lowerbound=1234407.287019, norm of subgrad 1111.658800 dualbound = 3159582.287019, lowerbound=1234407.287019, norm of subgrad 38.967630 stepsize= 1.000000
+dualbound = 3159646.747388, lowerbound=1237368.747388, norm of subgrad 1112.990003 dualbound = 3159646.747388, lowerbound=1237368.747388, norm of subgrad 37.979736 stepsize= 1.000000
+dualbound = 3159765.828094, lowerbound=1239823.828094, norm of subgrad 1114.079812 dualbound = 3159765.828094, lowerbound=1239823.828094, norm of subgrad 38.328589 stepsize= 1.000000
+dualbound = 3159903.105356, lowerbound=1233075.105356, norm of subgrad 1111.017149 dualbound = 3159903.105356, lowerbound=1233075.105356, norm of subgrad 37.699831 stepsize= 1.000000
+dualbound = 3160014.767167, lowerbound=1238784.767167, norm of subgrad 1113.592280 dualbound = 3160014.767167, lowerbound=1238784.767167, norm of subgrad 37.611990 stepsize= 1.000000
+dualbound = 3160084.561689, lowerbound=1229808.561689, norm of subgrad 1109.556921 dualbound = 3160084.561689, lowerbound=1229808.561689, norm of subgrad 37.118655 stepsize= 1.000000
+dualbound = 3160225.066553, lowerbound=1240279.066553, norm of subgrad 1114.267502 dualbound = 3160225.066553, lowerbound=1240279.066553, norm of subgrad 38.124859 stepsize= 1.000000
+dualbound = 3160320.634295, lowerbound=1232176.634295, norm of subgrad 1110.619032 dualbound = 3160320.634295, lowerbound=1232176.634295, norm of subgrad 37.330520 stepsize= 1.000000
+dualbound = 3160443.453231, lowerbound=1238268.453231, norm of subgrad 1113.379743 dualbound = 3160443.453231, lowerbound=1238268.453231, norm of subgrad 38.325174 stepsize= 1.000000
+dualbound = 3160514.944391, lowerbound=1239190.944391, norm of subgrad 1113.806511 dualbound = 3160514.944391, lowerbound=1239190.944391, norm of subgrad 38.019615 stepsize= 1.000000
+dualbound = 3160635.707592, lowerbound=1234087.707592, norm of subgrad 1111.511002 dualbound = 3160635.707592, lowerbound=1234087.707592, norm of subgrad 38.597451 stepsize= 1.000000
+dualbound = 3160764.001432, lowerbound=1235249.001432, norm of subgrad 1111.994605 dualbound = 3160764.001432, lowerbound=1235249.001432, norm of subgrad 37.567191 stepsize= 1.000000
+dualbound = 3160891.357630, lowerbound=1235763.357630, norm of subgrad 1112.249234 dualbound = 3160891.357630, lowerbound=1235763.357630, norm of subgrad 38.240766 stepsize= 1.000000
+dualbound = 3160981.294960, lowerbound=1238604.294960, norm of subgrad 1113.534146 dualbound = 3160981.294960, lowerbound=1238604.294960, norm of subgrad 37.999175 stepsize= 1.000000
+dualbound = 3161065.326524, lowerbound=1237536.326524, norm of subgrad 1113.060792 dualbound = 3161065.326524, lowerbound=1237536.326524, norm of subgrad 38.105532 stepsize= 1.000000
+dualbound = 3161195.068555, lowerbound=1230932.068555, norm of subgrad 1110.090117 dualbound = 3161195.068555, lowerbound=1230932.068555, norm of subgrad 38.700672 stepsize= 1.000000
+dualbound = 3161280.709006, lowerbound=1239715.709006, norm of subgrad 1114.066744 dualbound = 3161280.709006, lowerbound=1239715.709006, norm of subgrad 38.918382 stepsize= 1.000000
+dualbound = 3161387.089348, lowerbound=1237911.089348, norm of subgrad 1113.214305 dualbound = 3161387.089348, lowerbound=1237911.089348, norm of subgrad 37.965515 stepsize= 1.000000
+dualbound = 3161531.893069, lowerbound=1231812.893069, norm of subgrad 1110.463819 dualbound = 3161531.893069, lowerbound=1231812.893069, norm of subgrad 38.233542 stepsize= 1.000000
+dualbound = 3161626.258574, lowerbound=1237603.258574, norm of subgrad 1113.076933 dualbound = 3161626.258574, lowerbound=1237603.258574, norm of subgrad 37.833391 stepsize= 1.000000
+dualbound = 3161729.687743, lowerbound=1236804.687743, norm of subgrad 1112.714558 dualbound = 3161729.687743, lowerbound=1236804.687743, norm of subgrad 37.847446 stepsize= 1.000000
+dualbound = 3161839.655484, lowerbound=1240345.655484, norm of subgrad 1114.306805 dualbound = 3161839.655484, lowerbound=1240345.655484, norm of subgrad 37.999576 stepsize= 1.000000
+dualbound = 3161966.856376, lowerbound=1240644.856376, norm of subgrad 1114.448230 dualbound = 3161966.856376, lowerbound=1240644.856376, norm of subgrad 38.434371 stepsize= 1.000000
+dualbound = 3162045.777860, lowerbound=1228788.777860, norm of subgrad 1109.114412 dualbound = 3162045.777860, lowerbound=1228788.777860, norm of subgrad 37.748132 stepsize= 1.000000
+dualbound = 3162161.703454, lowerbound=1235628.703454, norm of subgrad 1112.173864 dualbound = 3162161.703454, lowerbound=1235628.703454, norm of subgrad 37.655353 stepsize= 1.000000
+dualbound = 3162287.783369, lowerbound=1233962.783369, norm of subgrad 1111.421065 dualbound = 3162287.783369, lowerbound=1233962.783369, norm of subgrad 37.683948 stepsize= 1.000000
+dualbound = 3162397.277697, lowerbound=1240374.277697, norm of subgrad 1114.317853 dualbound = 3162397.277697, lowerbound=1240374.277697, norm of subgrad 37.940669 stepsize= 1.000000
+dualbound = 3162475.910063, lowerbound=1233474.910063, norm of subgrad 1111.234408 dualbound = 3162475.910063, lowerbound=1233474.910063, norm of subgrad 38.021472 stepsize= 1.000000
+dualbound = 3162593.452207, lowerbound=1238773.452207, norm of subgrad 1113.606058 dualbound = 3162593.452207, lowerbound=1238773.452207, norm of subgrad 38.243197 stepsize= 1.000000
+dualbound = 3162710.615045, lowerbound=1230482.615045, norm of subgrad 1109.860629 dualbound = 3162710.615045, lowerbound=1230482.615045, norm of subgrad 37.751329 stepsize= 1.000000
+dualbound = 3162813.836331, lowerbound=1238341.836331, norm of subgrad 1113.441438 dualbound = 3162813.836331, lowerbound=1238341.836331, norm of subgrad 38.900145 stepsize= 1.000000
+dualbound = 3162883.056656, lowerbound=1235960.056656, norm of subgrad 1112.366871 dualbound = 3162883.056656, lowerbound=1235960.056656, norm of subgrad 38.330410 stepsize= 1.000000
+dualbound = 3163021.286216, lowerbound=1233270.286216, norm of subgrad 1111.151334 dualbound = 3163021.286216, lowerbound=1233270.286216, norm of subgrad 39.054187 stepsize= 1.000000
+dualbound = 3163141.833543, lowerbound=1235141.833543, norm of subgrad 1111.986436 dualbound = 3163141.833543, lowerbound=1235141.833543, norm of subgrad 38.633500 stepsize= 1.000000
+dualbound = 3163219.245470, lowerbound=1239332.245470, norm of subgrad 1113.862310 dualbound = 3163219.245470, lowerbound=1239332.245470, norm of subgrad 37.873631 stepsize= 1.000000
+dualbound = 3163342.030320, lowerbound=1234258.030320, norm of subgrad 1111.605609 dualbound = 3163342.030320, lowerbound=1234258.030320, norm of subgrad 39.138023 stepsize= 1.000000
+dualbound = 3163435.482904, lowerbound=1242797.482904, norm of subgrad 1115.429282 dualbound = 3163435.482904, lowerbound=1242797.482904, norm of subgrad 38.450651 stepsize= 1.000000
+dualbound = 3163539.470559, lowerbound=1231868.470559, norm of subgrad 1110.502801 dualbound = 3163539.470559, lowerbound=1231868.470559, norm of subgrad 38.104956 stepsize= 1.000000
+dualbound = 3163655.869896, lowerbound=1245018.869896, norm of subgrad 1116.413843 dualbound = 3163655.869896, lowerbound=1245018.869896, norm of subgrad 38.436953 stepsize= 1.000000
+dualbound = 3163776.732538, lowerbound=1235427.732538, norm of subgrad 1112.105540 dualbound = 3163776.732538, lowerbound=1235427.732538, norm of subgrad 38.364862 stepsize= 1.000000
+dualbound = 3163860.277425, lowerbound=1238154.277425, norm of subgrad 1113.349126 dualbound = 3163860.277425, lowerbound=1238154.277425, norm of subgrad 38.412822 stepsize= 1.000000
+dualbound = 3163969.575755, lowerbound=1232466.575755, norm of subgrad 1110.777465 dualbound = 3163969.575755, lowerbound=1232466.575755, norm of subgrad 38.331427 stepsize= 1.000000
+dualbound = 3164079.241760, lowerbound=1242128.241760, norm of subgrad 1115.142700 dualbound = 3164079.241760, lowerbound=1242128.241760, norm of subgrad 39.046972 stepsize= 1.000000
+dualbound = 3164198.631259, lowerbound=1231618.631259, norm of subgrad 1110.389405 dualbound = 3164198.631259, lowerbound=1231618.631259, norm of subgrad 38.280406 stepsize= 1.000000
+dualbound = 3164330.048037, lowerbound=1233658.048037, norm of subgrad 1111.280814 dualbound = 3164330.048037, lowerbound=1233658.048037, norm of subgrad 37.661874 stepsize= 1.000000
+dualbound = 3164441.340194, lowerbound=1234752.340194, norm of subgrad 1111.786104 dualbound = 3164441.340194, lowerbound=1234752.340194, norm of subgrad 37.779520 stepsize= 1.000000
+dualbound = 3164559.825055, lowerbound=1238184.825055, norm of subgrad 1113.322875 dualbound = 3164559.825055, lowerbound=1238184.825055, norm of subgrad 37.702584 stepsize= 1.000000
+dualbound = 3164634.307910, lowerbound=1235144.307910, norm of subgrad 1111.978556 dualbound = 3164634.307910, lowerbound=1235144.307910, norm of subgrad 37.768808 stepsize= 1.000000
+dualbound = 3164752.955498, lowerbound=1236691.955498, norm of subgrad 1112.679179 dualbound = 3164752.955498, lowerbound=1236691.955498, norm of subgrad 38.492176 stepsize= 1.000000
+dualbound = 3164847.718388, lowerbound=1236176.718388, norm of subgrad 1112.475042 dualbound = 3164847.718388, lowerbound=1236176.718388, norm of subgrad 38.971309 stepsize= 1.000000
+dualbound = 3164933.209590, lowerbound=1236539.209590, norm of subgrad 1112.623121 dualbound = 3164933.209590, lowerbound=1236539.209590, norm of subgrad 38.425138 stepsize= 1.000000
+dualbound = 3165072.828457, lowerbound=1234103.828457, norm of subgrad 1111.490813 dualbound = 3165072.828457, lowerbound=1234103.828457, norm of subgrad 38.047587 stepsize= 1.000000
+dualbound = 3165182.740772, lowerbound=1237184.740772, norm of subgrad 1112.898352 dualbound = 3165182.740772, lowerbound=1237184.740772, norm of subgrad 38.313344 stepsize= 1.000000
+dualbound = 3165271.215689, lowerbound=1235942.215689, norm of subgrad 1112.350761 dualbound = 3165271.215689, lowerbound=1235942.215689, norm of subgrad 38.346772 stepsize= 1.000000
+dualbound = 3165387.720205, lowerbound=1241734.720205, norm of subgrad 1114.970726 dualbound = 3165387.720205, lowerbound=1241734.720205, norm of subgrad 39.261998 stepsize= 1.000000
+dualbound = 3165465.762269, lowerbound=1235320.762269, norm of subgrad 1112.108701 dualbound = 3165465.762269, lowerbound=1235320.762269, norm of subgrad 39.281574 stepsize= 1.000000
+dualbound = 3165582.670402, lowerbound=1240110.670402, norm of subgrad 1114.222451 dualbound = 3165582.670402, lowerbound=1240110.670402, norm of subgrad 38.702818 stepsize= 1.000000
+dualbound = 3165733.492569, lowerbound=1237058.492569, norm of subgrad 1112.809729 dualbound = 3165733.492569, lowerbound=1237058.492569, norm of subgrad 37.918626 stepsize= 1.000000
+dualbound = 3165847.754707, lowerbound=1243126.754707, norm of subgrad 1115.526671 dualbound = 3165847.754707, lowerbound=1243126.754707, norm of subgrad 37.245968 stepsize= 1.000000
+dualbound = 3165930.068989, lowerbound=1232871.068989, norm of subgrad 1110.975278 dualbound = 3165930.068989, lowerbound=1232871.068989, norm of subgrad 38.435846 stepsize= 1.000000
+dualbound = 3166023.285346, lowerbound=1238877.285346, norm of subgrad 1113.674677 dualbound = 3166023.285346, lowerbound=1238877.285346, norm of subgrad 38.564444 stepsize= 1.000000
+dualbound = 3166112.241679, lowerbound=1231710.241679, norm of subgrad 1110.427954 dualbound = 3166112.241679, lowerbound=1231710.241679, norm of subgrad 37.801539 stepsize= 1.000000
+dualbound = 3166249.674170, lowerbound=1239207.674170, norm of subgrad 1113.796065 dualbound = 3166249.674170, lowerbound=1239207.674170, norm of subgrad 38.359256 stepsize= 1.000000
+dualbound = 3166370.381686, lowerbound=1235064.381686, norm of subgrad 1111.927328 dualbound = 3166370.381686, lowerbound=1235064.381686, norm of subgrad 37.930298 stepsize= 1.000000
+dualbound = 3166459.132631, lowerbound=1239875.132631, norm of subgrad 1114.104633 dualbound = 3166459.132631, lowerbound=1239875.132631, norm of subgrad 37.983562 stepsize= 1.000000
+dualbound = 3166561.200058, lowerbound=1229438.200058, norm of subgrad 1109.413449 dualbound = 3166561.200058, lowerbound=1229438.200058, norm of subgrad 38.236990 stepsize= 1.000000
+dualbound = 3166692.013588, lowerbound=1237185.013588, norm of subgrad 1112.916445 dualbound = 3166692.013588, lowerbound=1237185.013588, norm of subgrad 39.100045 stepsize= 1.000000
+dualbound = 3166785.429966, lowerbound=1239860.429966, norm of subgrad 1114.077390 dualbound = 3166785.429966, lowerbound=1239860.429966, norm of subgrad 37.435496 stepsize= 1.000000
+dualbound = 3166884.768712, lowerbound=1235599.768712, norm of subgrad 1112.173444 dualbound = 3166884.768712, lowerbound=1235599.768712, norm of subgrad 37.806597 stepsize= 1.000000
+dualbound = 3167015.505074, lowerbound=1238923.505074, norm of subgrad 1113.663551 dualbound = 3167015.505074, lowerbound=1238923.505074, norm of subgrad 38.127895 stepsize= 1.000000
+dualbound = 3167130.270381, lowerbound=1235923.270381, norm of subgrad 1112.310780 dualbound = 3167130.270381, lowerbound=1235923.270381, norm of subgrad 37.772547 stepsize= 1.000000
+dualbound = 3167225.300750, lowerbound=1233184.300750, norm of subgrad 1111.095541 dualbound = 3167225.300750, lowerbound=1233184.300750, norm of subgrad 38.000400 stepsize= 1.000000
+dualbound = 3167335.122470, lowerbound=1241199.122470, norm of subgrad 1114.708986 dualbound = 3167335.122470, lowerbound=1241199.122470, norm of subgrad 38.559327 stepsize= 1.000000
+dualbound = 3167421.602772, lowerbound=1236892.602772, norm of subgrad 1112.752714 dualbound = 3167421.602772, lowerbound=1236892.602772, norm of subgrad 37.582979 stepsize= 1.000000
+dualbound = 3167549.397072, lowerbound=1237044.397072, norm of subgrad 1112.835296 dualbound = 3167549.397072, lowerbound=1237044.397072, norm of subgrad 38.546002 stepsize= 1.000000
+dualbound = 3167641.583372, lowerbound=1238969.583372, norm of subgrad 1113.704891 dualbound = 3167641.583372, lowerbound=1238969.583372, norm of subgrad 38.225467 stepsize= 1.000000
+dualbound = 3167764.914843, lowerbound=1238299.914843, norm of subgrad 1113.411386 dualbound = 3167764.914843, lowerbound=1238299.914843, norm of subgrad 38.837243 stepsize= 1.000000
+dualbound = 3167835.447478, lowerbound=1234676.447478, norm of subgrad 1111.789750 dualbound = 3167835.447478, lowerbound=1234676.447478, norm of subgrad 38.347524 stepsize= 1.000000
+dualbound = 3167972.784730, lowerbound=1237274.784730, norm of subgrad 1112.935211 dualbound = 3167972.784730, lowerbound=1237274.784730, norm of subgrad 38.566012 stepsize= 1.000000
+dualbound = 3168080.664284, lowerbound=1238758.664284, norm of subgrad 1113.612888 dualbound = 3168080.664284, lowerbound=1238758.664284, norm of subgrad 38.508175 stepsize= 1.000000
+dualbound = 3168193.665527, lowerbound=1235829.665527, norm of subgrad 1112.279491 dualbound = 3168193.665527, lowerbound=1235829.665527, norm of subgrad 38.065749 stepsize= 1.000000
+dualbound = 3168295.748907, lowerbound=1237983.748907, norm of subgrad 1113.247389 dualbound = 3168295.748907, lowerbound=1237983.748907, norm of subgrad 37.922070 stepsize= 1.000000
+dualbound = 3168400.855591, lowerbound=1235483.855591, norm of subgrad 1112.116386 dualbound = 3168400.855591, lowerbound=1235483.855591, norm of subgrad 37.737338 stepsize= 1.000000
+dualbound = 3168525.575273, lowerbound=1236109.575273, norm of subgrad 1112.353170 dualbound = 3168525.575273, lowerbound=1236109.575273, norm of subgrad 36.670420 stepsize= 1.000000
+dualbound = 3168647.601003, lowerbound=1237997.601003, norm of subgrad 1113.235645 dualbound = 3168647.601003, lowerbound=1237997.601003, norm of subgrad 37.656682 stepsize= 1.000000
+dualbound = 3168730.960690, lowerbound=1237080.960690, norm of subgrad 1112.849029 dualbound = 3168730.960690, lowerbound=1237080.960690, norm of subgrad 37.886141 stepsize= 1.000000
+dualbound = 3168849.546012, lowerbound=1240550.546012, norm of subgrad 1114.414441 dualbound = 3168849.546012, lowerbound=1240550.546012, norm of subgrad 38.569228 stepsize= 1.000000
+dualbound = 3168928.840337, lowerbound=1237639.840337, norm of subgrad 1113.085280 dualbound = 3168928.840337, lowerbound=1237639.840337, norm of subgrad 37.393774 stepsize= 1.000000
+dualbound = 3169045.510297, lowerbound=1240225.510297, norm of subgrad 1114.256034 dualbound = 3169045.510297, lowerbound=1240225.510297, norm of subgrad 38.179444 stepsize= 1.000000
+dualbound = 3169164.933199, lowerbound=1227214.933199, norm of subgrad 1108.372200 dualbound = 3169164.933199, lowerbound=1227214.933199, norm of subgrad 37.328580 stepsize= 1.000000
+dualbound = 3169267.734351, lowerbound=1245360.734351, norm of subgrad 1116.563807 dualbound = 3169267.734351, lowerbound=1245360.734351, norm of subgrad 38.168065 stepsize= 1.000000
+dualbound = 3169362.872018, lowerbound=1233115.872018, norm of subgrad 1111.077347 dualbound = 3169362.872018, lowerbound=1233115.872018, norm of subgrad 38.368446 stepsize= 1.000000
+dualbound = 3169441.222714, lowerbound=1243146.222714, norm of subgrad 1115.588285 dualbound = 3169441.222714, lowerbound=1243146.222714, norm of subgrad 38.332111 stepsize= 1.000000
+dualbound = 3169575.128522, lowerbound=1232482.128522, norm of subgrad 1110.792568 dualbound = 3169575.128522, lowerbound=1232482.128522, norm of subgrad 38.883233 stepsize= 1.000000
+dualbound = 3169687.551007, lowerbound=1238547.551007, norm of subgrad 1113.509565 dualbound = 3169687.551007, lowerbound=1238547.551007, norm of subgrad 38.320001 stepsize= 1.000000
+dualbound = 3169786.302909, lowerbound=1236773.302909, norm of subgrad 1112.695512 dualbound = 3169786.302909, lowerbound=1236773.302909, norm of subgrad 37.639765 stepsize= 1.000000
+dualbound = 3169914.219255, lowerbound=1237148.219255, norm of subgrad 1112.900364 dualbound = 3169914.219255, lowerbound=1237148.219255, norm of subgrad 39.075777 stepsize= 1.000000
+dualbound = 3169987.915125, lowerbound=1241186.915125, norm of subgrad 1114.674802 dualbound = 3169987.915125, lowerbound=1241186.915125, norm of subgrad 37.238366 stepsize= 1.000000
+dualbound = 3170126.353268, lowerbound=1232913.353268, norm of subgrad 1110.955604 dualbound = 3170126.353268, lowerbound=1232913.353268, norm of subgrad 38.045212 stepsize= 1.000000
+dualbound = 3170220.539073, lowerbound=1238846.539073, norm of subgrad 1113.644710 dualbound = 3170220.539073, lowerbound=1238846.539073, norm of subgrad 38.107556 stepsize= 1.000000
+dualbound = 3170354.739148, lowerbound=1236083.739148, norm of subgrad 1112.383809 dualbound = 3170354.739148, lowerbound=1236083.739148, norm of subgrad 38.055224 stepsize= 1.000000
+dualbound = 3170439.705091, lowerbound=1235009.705091, norm of subgrad 1111.893298 dualbound = 3170439.705091, lowerbound=1235009.705091, norm of subgrad 37.174803 stepsize= 1.000000
+dualbound = 3170546.470645, lowerbound=1239130.470645, norm of subgrad 1113.747939 dualbound = 3170546.470645, lowerbound=1239130.470645, norm of subgrad 37.560159 stepsize= 1.000000
+dualbound = 3170688.197668, lowerbound=1235063.197668, norm of subgrad 1111.933090 dualbound = 3170688.197668, lowerbound=1235063.197668, norm of subgrad 38.389152 stepsize= 1.000000
+dualbound = 3170752.483789, lowerbound=1239644.483789, norm of subgrad 1114.013233 dualbound = 3170752.483789, lowerbound=1239644.483789, norm of subgrad 38.016919 stepsize= 1.000000
+dualbound = 3170872.791563, lowerbound=1237206.791563, norm of subgrad 1112.915896 dualbound = 3170872.791563, lowerbound=1237206.791563, norm of subgrad 38.669210 stepsize= 1.000000
+dualbound = 3170985.060936, lowerbound=1236425.060936, norm of subgrad 1112.565531 dualbound = 3170985.060936, lowerbound=1236425.060936, norm of subgrad 38.591053 stepsize= 1.000000
+dualbound = 3171082.171828, lowerbound=1235988.171828, norm of subgrad 1112.406927 dualbound = 3171082.171828, lowerbound=1235988.171828, norm of subgrad 39.472913 stepsize= 1.000000
+dualbound = 3171144.631572, lowerbound=1234629.631572, norm of subgrad 1111.739012 dualbound = 3171144.631572, lowerbound=1234629.631572, norm of subgrad 37.369235 stepsize= 1.000000
+dualbound = 3171313.879402, lowerbound=1237225.879402, norm of subgrad 1112.924921 dualbound = 3171313.879402, lowerbound=1237225.879402, norm of subgrad 39.309640 stepsize= 1.000000
+dualbound = 3171409.238740, lowerbound=1237108.238740, norm of subgrad 1112.850951 dualbound = 3171409.238740, lowerbound=1237108.238740, norm of subgrad 37.740685 stepsize= 1.000000
+dualbound = 3171539.234704, lowerbound=1236017.234704, norm of subgrad 1112.351669 dualbound = 3171539.234704, lowerbound=1236017.234704, norm of subgrad 37.934100 stepsize= 1.000000
+dualbound = 3171647.593652, lowerbound=1235372.593652, norm of subgrad 1112.090191 dualbound = 3171647.593652, lowerbound=1235372.593652, norm of subgrad 38.475433 stepsize= 1.000000
+dualbound = 3171707.602511, lowerbound=1235168.602511, norm of subgrad 1111.997573 dualbound = 3171707.602511, lowerbound=1235168.602511, norm of subgrad 37.815458 stepsize= 1.000000
+dualbound = 3171840.589882, lowerbound=1237721.589882, norm of subgrad 1113.120654 dualbound = 3171840.589882, lowerbound=1237721.589882, norm of subgrad 38.065567 stepsize= 1.000000
+dualbound = 3171953.002947, lowerbound=1239637.002947, norm of subgrad 1113.986536 dualbound = 3171953.002947, lowerbound=1239637.002947, norm of subgrad 37.965946 stepsize= 1.000000
+dualbound = 3172067.404859, lowerbound=1234925.404859, norm of subgrad 1111.865282 dualbound = 3172067.404859, lowerbound=1234925.404859, norm of subgrad 37.860295 stepsize= 1.000000
+dualbound = 3172160.889336, lowerbound=1239427.889336, norm of subgrad 1113.922300 dualbound = 3172160.889336, lowerbound=1239427.889336, norm of subgrad 38.580882 stepsize= 1.000000
+dualbound = 3172270.398473, lowerbound=1231605.398473, norm of subgrad 1110.411815 dualbound = 3172270.398473, lowerbound=1231605.398473, norm of subgrad 38.968053 stepsize= 1.000000
+dualbound = 3172371.115150, lowerbound=1238621.115150, norm of subgrad 1113.527330 dualbound = 3172371.115150, lowerbound=1238621.115150, norm of subgrad 37.718917 stepsize= 1.000000
+dualbound = 3172505.999631, lowerbound=1239770.999631, norm of subgrad 1114.062835 dualbound = 3172505.999631, lowerbound=1239770.999631, norm of subgrad 38.728342 stepsize= 1.000000
+dualbound = 3172613.691242, lowerbound=1243500.691242, norm of subgrad 1115.693816 dualbound = 3172613.691242, lowerbound=1243500.691242, norm of subgrad 37.144200 stepsize= 1.000000
+dualbound = 3172738.980169, lowerbound=1236210.980169, norm of subgrad 1112.409987 dualbound = 3172738.980169, lowerbound=1236210.980169, norm of subgrad 37.017414 stepsize= 1.000000
+dualbound = 3172833.946208, lowerbound=1235560.946208, norm of subgrad 1112.142053 dualbound = 3172833.946208, lowerbound=1235560.946208, norm of subgrad 37.335855 stepsize= 1.000000
+dualbound = 3172943.301294, lowerbound=1238145.301294, norm of subgrad 1113.327131 dualbound = 3172943.301294, lowerbound=1238145.301294, norm of subgrad 38.227674 stepsize= 1.000000
+dualbound = 3173027.083387, lowerbound=1239690.083387, norm of subgrad 1114.025621 dualbound = 3173027.083387, lowerbound=1239690.083387, norm of subgrad 38.036589 stepsize= 1.000000
+dualbound = 3173142.421328, lowerbound=1234508.421328, norm of subgrad 1111.684947 dualbound = 3173142.421328, lowerbound=1234508.421328, norm of subgrad 38.083303 stepsize= 1.000000
+dualbound = 3173241.622066, lowerbound=1238506.622066, norm of subgrad 1113.509148 dualbound = 3173241.622066, lowerbound=1238506.622066, norm of subgrad 38.667826 stepsize= 1.000000
+dualbound = 3173335.696329, lowerbound=1234783.696329, norm of subgrad 1111.816845 dualbound = 3173335.696329, lowerbound=1234783.696329, norm of subgrad 38.040429 stepsize= 1.000000
+dualbound = 3173438.876436, lowerbound=1237180.876436, norm of subgrad 1112.908746 dualbound = 3173438.876436, lowerbound=1237180.876436, norm of subgrad 38.576938 stepsize= 1.000000
+dualbound = 3173583.363632, lowerbound=1238527.363632, norm of subgrad 1113.482988 dualbound = 3173583.363632, lowerbound=1238527.363632, norm of subgrad 38.229402 stepsize= 1.000000
+dualbound = 3173659.885445, lowerbound=1233405.885445, norm of subgrad 1111.211449 dualbound = 3173659.885445, lowerbound=1233405.885445, norm of subgrad 38.229855 stepsize= 1.000000
+dualbound = 3173763.279645, lowerbound=1237600.279645, norm of subgrad 1113.110632 dualbound = 3173763.279645, lowerbound=1237600.279645, norm of subgrad 38.966578 stepsize= 1.000000
+dualbound = 3173873.031603, lowerbound=1232136.031603, norm of subgrad 1110.605255 dualbound = 3173873.031603, lowerbound=1232136.031603, norm of subgrad 37.653047 stepsize= 1.000000
+dualbound = 3173999.565156, lowerbound=1235284.565156, norm of subgrad 1112.040271 dualbound = 3173999.565156, lowerbound=1235284.565156, norm of subgrad 38.412674 stepsize= 1.000000
+dualbound = 3174088.683194, lowerbound=1240846.683194, norm of subgrad 1114.542814 dualbound = 3174088.683194, lowerbound=1240846.683194, norm of subgrad 38.054146 stepsize= 1.000000
+dualbound = 3174204.797311, lowerbound=1236557.797311, norm of subgrad 1112.614847 dualbound = 3174204.797311, lowerbound=1236557.797311, norm of subgrad 38.342067 stepsize= 1.000000
+dualbound = 3174312.249190, lowerbound=1238290.249190, norm of subgrad 1113.385490 dualbound = 3174312.249190, lowerbound=1238290.249190, norm of subgrad 38.005945 stepsize= 1.000000
+dualbound = 3174431.115605, lowerbound=1232410.115605, norm of subgrad 1110.737645 dualbound = 3174431.115605, lowerbound=1232410.115605, norm of subgrad 38.037697 stepsize= 1.000000
+dualbound = 3174514.360081, lowerbound=1238921.360081, norm of subgrad 1113.681894 dualbound = 3174514.360081, lowerbound=1238921.360081, norm of subgrad 38.068944 stepsize= 1.000000
+dualbound = 3174637.142961, lowerbound=1241009.142961, norm of subgrad 1114.597301 dualbound = 3174637.142961, lowerbound=1241009.142961, norm of subgrad 37.957646 stepsize= 1.000000
+dualbound = 3174749.589647, lowerbound=1238057.589647, norm of subgrad 1113.267977 dualbound = 3174749.589647, lowerbound=1238057.589647, norm of subgrad 37.688814 stepsize= 1.000000
+dualbound = 3174866.462840, lowerbound=1240439.462840, norm of subgrad 1114.361460 dualbound = 3174866.462840, lowerbound=1240439.462840, norm of subgrad 38.456120 stepsize= 1.000000
+dualbound = 3174950.253882, lowerbound=1235368.253882, norm of subgrad 1112.066209 dualbound = 3174950.253882, lowerbound=1235368.253882, norm of subgrad 37.507213 stepsize= 1.000000
+dualbound = 3175074.186078, lowerbound=1237368.186078, norm of subgrad 1112.967738 dualbound = 3175074.186078, lowerbound=1237368.186078, norm of subgrad 38.117348 stepsize= 1.000000
+dualbound = 3175191.670049, lowerbound=1240784.670049, norm of subgrad 1114.487178 dualbound = 3175191.670049, lowerbound=1240784.670049, norm of subgrad 37.609626 stepsize= 1.000000
+dualbound = 3175287.750988, lowerbound=1239308.750988, norm of subgrad 1113.827523 dualbound = 3175287.750988, lowerbound=1239308.750988, norm of subgrad 37.404290 stepsize= 1.000000
+dualbound = 3175406.694115, lowerbound=1239153.694115, norm of subgrad 1113.774526 dualbound = 3175406.694115, lowerbound=1239153.694115, norm of subgrad 38.196114 stepsize= 1.000000
+dualbound = 3175495.152576, lowerbound=1232637.152576, norm of subgrad 1110.831739 dualbound = 3175495.152576, lowerbound=1232637.152576, norm of subgrad 37.395969 stepsize= 1.000000
+dualbound = 3175598.166153, lowerbound=1234470.166153, norm of subgrad 1111.694727 dualbound = 3175598.166153, lowerbound=1234470.166153, norm of subgrad 38.704180 stepsize= 1.000000
+dualbound = 3175696.919047, lowerbound=1238581.919047, norm of subgrad 1113.500749 dualbound = 3175696.919047, lowerbound=1238581.919047, norm of subgrad 37.426633 stepsize= 1.000000
+dualbound = 3175837.610283, lowerbound=1232087.610283, norm of subgrad 1110.575801 dualbound = 3175837.610283, lowerbound=1232087.610283, norm of subgrad 37.837696 stepsize= 1.000000
+dualbound = 3175927.252433, lowerbound=1239312.252433, norm of subgrad 1113.827748 dualbound = 3175927.252433, lowerbound=1239312.252433, norm of subgrad 37.277904 stepsize= 1.000000
+dualbound = 3176029.367086, lowerbound=1235770.367086, norm of subgrad 1112.278458 dualbound = 3176029.367086, lowerbound=1235770.367086, norm of subgrad 38.666712 stepsize= 1.000000
+dualbound = 3176120.950636, lowerbound=1243429.950636, norm of subgrad 1115.690795 dualbound = 3176120.950636, lowerbound=1243429.950636, norm of subgrad 37.783377 stepsize= 1.000000
+dualbound = 3176255.016371, lowerbound=1239435.016371, norm of subgrad 1113.868940 dualbound = 3176255.016371, lowerbound=1239435.016371, norm of subgrad 37.457519 stepsize= 1.000000
+dualbound = 3176361.606960, lowerbound=1237341.606960, norm of subgrad 1112.939624 dualbound = 3176361.606960, lowerbound=1237341.606960, norm of subgrad 37.411102 stepsize= 1.000000
+dualbound = 3176487.158757, lowerbound=1238769.158757, norm of subgrad 1113.584374 dualbound = 3176487.158757, lowerbound=1238769.158757, norm of subgrad 37.769721 stepsize= 1.000000
+dualbound = 3176549.318572, lowerbound=1234457.318572, norm of subgrad 1111.636325 dualbound = 3176549.318572, lowerbound=1234457.318572, norm of subgrad 36.608193 stepsize= 1.000000
+dualbound = 3176731.694004, lowerbound=1240355.694004, norm of subgrad 1114.282143 dualbound = 3176731.694004, lowerbound=1240355.694004, norm of subgrad 38.096922 stepsize= 1.000000
+dualbound = 3176785.286759, lowerbound=1235458.286759, norm of subgrad 1112.105789 dualbound = 3176785.286759, lowerbound=1235458.286759, norm of subgrad 37.075501 stepsize= 1.000000
+dualbound = 3176892.369574, lowerbound=1238455.369574, norm of subgrad 1113.476704 dualbound = 3176892.369574, lowerbound=1238455.369574, norm of subgrad 38.497829 stepsize= 1.000000
+dualbound = 3176966.410340, lowerbound=1241380.410340, norm of subgrad 1114.799718 dualbound = 3176966.410340, lowerbound=1241380.410340, norm of subgrad 38.367183 stepsize= 1.000000
+dualbound = 3177108.230453, lowerbound=1236855.230453, norm of subgrad 1112.785348 dualbound = 3177108.230453, lowerbound=1236855.230453, norm of subgrad 39.721784 stepsize= 1.000000
+dualbound = 3177167.046734, lowerbound=1239003.046734, norm of subgrad 1113.724403 dualbound = 3177167.046734, lowerbound=1239003.046734, norm of subgrad 37.918548 stepsize= 1.000000
+dualbound = 3177314.153096, lowerbound=1235160.153096, norm of subgrad 1112.009511 dualbound = 3177314.153096, lowerbound=1235160.153096, norm of subgrad 39.396781 stepsize= 1.000000
+dualbound = 3177406.195571, lowerbound=1238046.195571, norm of subgrad 1113.299688 dualbound = 3177406.195571, lowerbound=1238046.195571, norm of subgrad 38.497305 stepsize= 1.000000
+dualbound = 3177506.273693, lowerbound=1237250.273693, norm of subgrad 1112.965082 dualbound = 3177506.273693, lowerbound=1237250.273693, norm of subgrad 39.256568 stepsize= 1.000000
+dualbound = 3177605.901359, lowerbound=1234499.901359, norm of subgrad 1111.677967 dualbound = 3177605.901359, lowerbound=1234499.901359, norm of subgrad 37.783960 stepsize= 1.000000
+dualbound = 3177736.407847, lowerbound=1236936.407847, norm of subgrad 1112.771498 dualbound = 3177736.407847, lowerbound=1236936.407847, norm of subgrad 38.137993 stepsize= 1.000000
+dualbound = 3177861.486602, lowerbound=1240770.486602, norm of subgrad 1114.481263 dualbound = 3177861.486602, lowerbound=1240770.486602, norm of subgrad 37.723716 stepsize= 1.000000
+dualbound = 3177964.680978, lowerbound=1239257.680978, norm of subgrad 1113.800557 dualbound = 3177964.680978, lowerbound=1239257.680978, norm of subgrad 37.379063 stepsize= 1.000000
+dualbound = 3178064.702323, lowerbound=1237613.702323, norm of subgrad 1113.096448 dualbound = 3178064.702323, lowerbound=1237613.702323, norm of subgrad 38.340857 stepsize= 1.000000
+dualbound = 3178160.066120, lowerbound=1235856.066120, norm of subgrad 1112.286414 dualbound = 3178160.066120, lowerbound=1235856.066120, norm of subgrad 37.687714 stepsize= 1.000000
+dualbound = 3178266.838810, lowerbound=1239445.838810, norm of subgrad 1113.895794 dualbound = 3178266.838810, lowerbound=1239445.838810, norm of subgrad 37.746161 stepsize= 1.000000
+dualbound = 3178397.266307, lowerbound=1239394.266307, norm of subgrad 1113.867257 dualbound = 3178397.266307, lowerbound=1239394.266307, norm of subgrad 37.900231 stepsize= 1.000000
+dualbound = 3178484.989763, lowerbound=1238718.989763, norm of subgrad 1113.581155 dualbound = 3178484.989763, lowerbound=1238718.989763, norm of subgrad 37.838122 stepsize= 1.000000
+dualbound = 3178574.304172, lowerbound=1235972.304172, norm of subgrad 1112.327876 dualbound = 3178574.304172, lowerbound=1235972.304172, norm of subgrad 37.286920 stepsize= 1.000000
+dualbound = 3178728.588033, lowerbound=1235490.588033, norm of subgrad 1112.106824 dualbound = 3178728.588033, lowerbound=1235490.588033, norm of subgrad 38.016889 stepsize= 1.000000
+dualbound = 3178812.450636, lowerbound=1243796.450636, norm of subgrad 1115.827249 dualbound = 3178812.450636, lowerbound=1243796.450636, norm of subgrad 36.849187 stepsize= 1.000000
+dualbound = 3178930.708455, lowerbound=1239141.708455, norm of subgrad 1113.750739 dualbound = 3178930.708455, lowerbound=1239141.708455, norm of subgrad 37.646485 stepsize= 1.000000
+dualbound = 3179020.699566, lowerbound=1238277.699566, norm of subgrad 1113.348867 dualbound = 3179020.699566, lowerbound=1238277.699566, norm of subgrad 36.850931 stepsize= 1.000000
+dualbound = 3179144.846223, lowerbound=1234432.846223, norm of subgrad 1111.655903 dualbound = 3179144.846223, lowerbound=1234432.846223, norm of subgrad 38.342492 stepsize= 1.000000
+dualbound = 3179207.560847, lowerbound=1234006.560847, norm of subgrad 1111.433561 dualbound = 3179207.560847, lowerbound=1234006.560847, norm of subgrad 36.615770 stepsize= 1.000000
+dualbound = 3179369.887947, lowerbound=1242176.887947, norm of subgrad 1115.130884 dualbound = 3179369.887947, lowerbound=1242176.887947, norm of subgrad 38.759865 stepsize= 1.000000
+dualbound = 3179430.692100, lowerbound=1235702.692100, norm of subgrad 1112.239494 dualbound = 3179430.692100, lowerbound=1235702.692100, norm of subgrad 37.878809 stepsize= 1.000000
+dualbound = 3179547.718809, lowerbound=1240479.718809, norm of subgrad 1114.354844 dualbound = 3179547.718809, lowerbound=1240479.718809, norm of subgrad 37.736278 stepsize= 1.000000
+dualbound = 3179639.961098, lowerbound=1235426.961098, norm of subgrad 1112.106992 dualbound = 3179639.961098, lowerbound=1235426.961098, norm of subgrad 38.042638 stepsize= 1.000000
+dualbound = 3179753.502844, lowerbound=1235882.502844, norm of subgrad 1112.335607 dualbound = 3179753.502844, lowerbound=1235882.502844, norm of subgrad 39.006945 stepsize= 1.000000
+dualbound = 3179838.872135, lowerbound=1244744.872135, norm of subgrad 1116.299186 dualbound = 3179838.872135, lowerbound=1244744.872135, norm of subgrad 38.267078 stepsize= 1.000000
+dualbound = 3179961.810689, lowerbound=1237142.810689, norm of subgrad 1112.885803 dualbound = 3179961.810689, lowerbound=1237142.810689, norm of subgrad 38.664435 stepsize= 1.000000
+dualbound = 3180044.646053, lowerbound=1240770.646053, norm of subgrad 1114.533825 dualbound = 3180044.646053, lowerbound=1240770.646053, norm of subgrad 38.701878 stepsize= 1.000000
+dualbound = 3180163.318844, lowerbound=1237464.318844, norm of subgrad 1113.033835 dualbound = 3180163.318844, lowerbound=1237464.318844, norm of subgrad 38.712695 stepsize= 1.000000
+dualbound = 3180276.710916, lowerbound=1233286.710916, norm of subgrad 1111.132175 dualbound = 3180276.710916, lowerbound=1233286.710916, norm of subgrad 37.965670 stepsize= 1.000000
+dualbound = 3180385.648778, lowerbound=1238707.648778, norm of subgrad 1113.584145 dualbound = 3180385.648778, lowerbound=1238707.648778, norm of subgrad 38.352808 stepsize= 1.000000
+dualbound = 3180493.463019, lowerbound=1240735.463019, norm of subgrad 1114.502339 dualbound = 3180493.463019, lowerbound=1240735.463019, norm of subgrad 38.572195 stepsize= 1.000000
+dualbound = 3180588.040615, lowerbound=1236300.040615, norm of subgrad 1112.476085 dualbound = 3180588.040615, lowerbound=1236300.040615, norm of subgrad 37.384189 stepsize= 1.000000
+dualbound = 3180737.899868, lowerbound=1241328.899868, norm of subgrad 1114.701709 dualbound = 3180737.899868, lowerbound=1241328.899868, norm of subgrad 37.159915 stepsize= 1.000000
+dualbound = 3180816.862570, lowerbound=1236755.862570, norm of subgrad 1112.695764 dualbound = 3180816.862570, lowerbound=1236755.862570, norm of subgrad 37.615990 stepsize= 1.000000
+dualbound = 3180892.600525, lowerbound=1235827.600525, norm of subgrad 1112.292947 dualbound = 3180892.600525, lowerbound=1235827.600525, norm of subgrad 37.996552 stepsize= 1.000000
+dualbound = 3181008.575279, lowerbound=1239370.575279, norm of subgrad 1113.867396 dualbound = 3181008.575279, lowerbound=1239370.575279, norm of subgrad 38.025975 stepsize= 1.000000
+dualbound = 3181150.686700, lowerbound=1238886.686700, norm of subgrad 1113.616041 dualbound = 3181150.686700, lowerbound=1238886.686700, norm of subgrad 37.364574 stepsize= 1.000000
+dualbound = 3181242.633029, lowerbound=1236836.633029, norm of subgrad 1112.706894 dualbound = 3181242.633029, lowerbound=1236836.633029, norm of subgrad 37.039794 stepsize= 1.000000
+dualbound = 3181353.615394, lowerbound=1240539.615394, norm of subgrad 1114.389346 dualbound = 3181353.615394, lowerbound=1240539.615394, norm of subgrad 37.881161 stepsize= 1.000000
+dualbound = 3181452.389988, lowerbound=1238178.389988, norm of subgrad 1113.299775 dualbound = 3181452.389988, lowerbound=1238178.389988, norm of subgrad 36.834421 stepsize= 1.000000
+dualbound = 3181595.710066, lowerbound=1240782.710066, norm of subgrad 1114.505141 dualbound = 3181595.710066, lowerbound=1240782.710066, norm of subgrad 38.500910 stepsize= 1.000000
+dualbound = 3181637.128602, lowerbound=1235080.128602, norm of subgrad 1111.953294 dualbound = 3181637.128602, lowerbound=1235080.128602, norm of subgrad 37.435525 stepsize= 1.000000
+dualbound = 3181780.926719, lowerbound=1233832.926719, norm of subgrad 1111.406733 dualbound = 3181780.926719, lowerbound=1233832.926719, norm of subgrad 39.189260 stepsize= 1.000000
+dualbound = 3181845.911940, lowerbound=1241875.911940, norm of subgrad 1115.025969 dualbound = 3181845.911940, lowerbound=1241875.911940, norm of subgrad 38.366460 stepsize= 1.000000
+dualbound = 3181968.532663, lowerbound=1240901.532663, norm of subgrad 1114.601962 dualbound = 3181968.532663, lowerbound=1240901.532663, norm of subgrad 39.479371 stepsize= 1.000000
+dualbound = 3182075.477052, lowerbound=1240764.477052, norm of subgrad 1114.496064 dualbound = 3182075.477052, lowerbound=1240764.477052, norm of subgrad 37.999268 stepsize= 1.000000
+dualbound = 3182193.924933, lowerbound=1235938.924933, norm of subgrad 1112.339393 dualbound = 3182193.924933, lowerbound=1235938.924933, norm of subgrad 38.450590 stepsize= 1.000000
+dualbound = 3182289.469628, lowerbound=1237312.469628, norm of subgrad 1112.909911 dualbound = 3182289.469628, lowerbound=1237312.469628, norm of subgrad 36.763361 stepsize= 1.000000
+dualbound = 3182452.808261, lowerbound=1239355.808261, norm of subgrad 1113.841465 dualbound = 3182452.808261, lowerbound=1239355.808261, norm of subgrad 38.083312 stepsize= 1.000000
+dualbound = 3182494.001691, lowerbound=1237542.001691, norm of subgrad 1113.041779 dualbound = 3182494.001691, lowerbound=1237542.001691, norm of subgrad 36.894355 stepsize= 1.000000
+dualbound = 3182643.912670, lowerbound=1242163.912670, norm of subgrad 1115.133137 dualbound = 3182643.912670, lowerbound=1242163.912670, norm of subgrad 38.831829 stepsize= 1.000000
+dualbound = 3182716.640300, lowerbound=1236267.640300, norm of subgrad 1112.449837 dualbound = 3182716.640300, lowerbound=1236267.640300, norm of subgrad 36.738639 stepsize= 1.000000
+dualbound = 3182849.385419, lowerbound=1234404.385419, norm of subgrad 1111.640403 dualbound = 3182849.385419, lowerbound=1234404.385419, norm of subgrad 38.376361 stepsize= 1.000000
+dualbound = 3182924.330193, lowerbound=1244843.330193, norm of subgrad 1116.319547 dualbound = 3182924.330193, lowerbound=1244843.330193, norm of subgrad 37.429197 stepsize= 1.000000
+dualbound = 3183048.328060, lowerbound=1237061.328060, norm of subgrad 1112.824931 dualbound = 3183048.328060, lowerbound=1237061.328060, norm of subgrad 37.973647 stepsize= 1.000000
+dualbound = 3183153.801515, lowerbound=1243731.801515, norm of subgrad 1115.874456 dualbound = 3183153.801515, lowerbound=1243731.801515, norm of subgrad 39.363352 stepsize= 1.000000
+dualbound = 3183234.414494, lowerbound=1238652.414494, norm of subgrad 1113.572815 dualbound = 3183234.414494, lowerbound=1238652.414494, norm of subgrad 38.374640 stepsize= 1.000000
+dualbound = 3183372.158419, lowerbound=1234736.158419, norm of subgrad 1111.808058 dualbound = 3183372.158419, lowerbound=1234736.158419, norm of subgrad 38.971065 stepsize= 1.000000
+dualbound = 3183452.081123, lowerbound=1236616.081123, norm of subgrad 1112.643735 dualbound = 3183452.081123, lowerbound=1236616.081123, norm of subgrad 37.946313 stepsize= 1.000000
+dualbound = 3183559.131993, lowerbound=1238274.131993, norm of subgrad 1113.389030 dualbound = 3183559.131993, lowerbound=1238274.131993, norm of subgrad 38.315152 stepsize= 1.000000
+dualbound = 3183697.874872, lowerbound=1244233.874872, norm of subgrad 1116.032202 dualbound = 3183697.874872, lowerbound=1244233.874872, norm of subgrad 37.851590 stepsize= 1.000000
+dualbound = 3183787.927024, lowerbound=1239947.927024, norm of subgrad 1114.122043 dualbound = 3183787.927024, lowerbound=1239947.927024, norm of subgrad 37.550661 stepsize= 1.000000
+dualbound = 3183899.310706, lowerbound=1238343.310706, norm of subgrad 1113.418300 dualbound = 3183899.310706, lowerbound=1238343.310706, norm of subgrad 38.319495 stepsize= 1.000000
+dualbound = 3183979.013094, lowerbound=1240135.013094, norm of subgrad 1114.206899 dualbound = 3183979.013094, lowerbound=1240135.013094, norm of subgrad 37.439316 stepsize= 1.000000
+dualbound = 3184113.731243, lowerbound=1235461.731243, norm of subgrad 1112.104640 dualbound = 3184113.731243, lowerbound=1235461.731243, norm of subgrad 38.075164 stepsize= 1.000000
+dualbound = 3184205.081623, lowerbound=1239256.081623, norm of subgrad 1113.855054 dualbound = 3184205.081623, lowerbound=1239256.081623, norm of subgrad 38.837487 stepsize= 1.000000
+dualbound = 3184320.741894, lowerbound=1237566.741894, norm of subgrad 1113.035373 dualbound = 3184320.741894, lowerbound=1237566.741894, norm of subgrad 37.371918 stepsize= 1.000000
+dualbound = 3184427.517103, lowerbound=1237967.517103, norm of subgrad 1113.217641 dualbound = 3184427.517103, lowerbound=1237967.517103, norm of subgrad 37.319904 stepsize= 1.000000
+dualbound = 3184545.545236, lowerbound=1234769.545236, norm of subgrad 1111.758762 dualbound = 3184545.545236, lowerbound=1234769.545236, norm of subgrad 36.824287 stepsize= 1.000000
+dualbound = 3184633.068151, lowerbound=1242645.068151, norm of subgrad 1115.307163 dualbound = 3184633.068151, lowerbound=1242645.068151, norm of subgrad 36.776663 stepsize= 1.000000
+dualbound = 3184760.489291, lowerbound=1236313.489291, norm of subgrad 1112.458758 dualbound = 3184760.489291, lowerbound=1236313.489291, norm of subgrad 37.127094 stepsize= 1.000000
+dualbound = 3184866.932350, lowerbound=1238462.932350, norm of subgrad 1113.448217 dualbound = 3184866.932350, lowerbound=1238462.932350, norm of subgrad 37.555866 stepsize= 1.000000
+dualbound = 3184952.339360, lowerbound=1234854.339360, norm of subgrad 1111.863454 dualbound = 3184952.339360, lowerbound=1234854.339360, norm of subgrad 38.358923 stepsize= 1.000000
+dualbound = 3185067.110900, lowerbound=1243086.110900, norm of subgrad 1115.512936 dualbound = 3185067.110900, lowerbound=1243086.110900, norm of subgrad 37.386783 stepsize= 1.000000
+dualbound = 3185143.661957, lowerbound=1239872.661957, norm of subgrad 1114.108909 dualbound = 3185143.661957, lowerbound=1239872.661957, norm of subgrad 37.980930 stepsize= 1.000000
+dualbound = 3185286.177639, lowerbound=1240871.177639, norm of subgrad 1114.520156 dualbound = 3185286.177639, lowerbound=1240871.177639, norm of subgrad 37.769243 stepsize= 1.000000
+dualbound = 3185400.529834, lowerbound=1238441.529834, norm of subgrad 1113.414806 dualbound = 3185400.529834, lowerbound=1238441.529834, norm of subgrad 36.950672 stepsize= 1.000000
+dualbound = 3185484.498681, lowerbound=1235531.498681, norm of subgrad 1112.159385 dualbound = 3185484.498681, lowerbound=1235531.498681, norm of subgrad 38.091585 stepsize= 1.000000
+dualbound = 3185558.282430, lowerbound=1240496.282430, norm of subgrad 1114.377531 dualbound = 3185558.282430, lowerbound=1240496.282430, norm of subgrad 37.613611 stepsize= 1.000000
+dualbound = 3185685.362875, lowerbound=1238254.362875, norm of subgrad 1113.375212 dualbound = 3185685.362875, lowerbound=1238254.362875, norm of subgrad 38.432804 stepsize= 1.000000
+dualbound = 3185782.330297, lowerbound=1242119.330297, norm of subgrad 1115.126598 dualbound = 3185782.330297, lowerbound=1242119.330297, norm of subgrad 38.535275 stepsize= 1.000000
+dualbound = 3185883.742343, lowerbound=1236231.742343, norm of subgrad 1112.489435 dualbound = 3185883.742343, lowerbound=1236231.742343, norm of subgrad 38.760960 stepsize= 1.000000
+dualbound = 3185985.451913, lowerbound=1240705.451913, norm of subgrad 1114.500091 dualbound = 3185985.451913, lowerbound=1240705.451913, norm of subgrad 38.816357 stepsize= 1.000000
+dualbound = 3186077.192503, lowerbound=1234610.192503, norm of subgrad 1111.746910 dualbound = 3186077.192503, lowerbound=1234610.192503, norm of subgrad 38.245792 stepsize= 1.000000
+dualbound = 3186226.031275, lowerbound=1239652.031275, norm of subgrad 1113.998668 dualbound = 3186226.031275, lowerbound=1239652.031275, norm of subgrad 38.598430 stepsize= 1.000000
+dualbound = 3186327.997227, lowerbound=1236466.997227, norm of subgrad 1112.575839 dualbound = 3186327.997227, lowerbound=1236466.997227, norm of subgrad 38.209501 stepsize= 1.000000
+dualbound = 3186426.191837, lowerbound=1236579.191837, norm of subgrad 1112.606935 dualbound = 3186426.191837, lowerbound=1236579.191837, norm of subgrad 37.592481 stepsize= 1.000000
+dualbound = 3186536.357980, lowerbound=1242362.357980, norm of subgrad 1115.228388 dualbound = 3186536.357980, lowerbound=1242362.357980, norm of subgrad 38.498911 stepsize= 1.000000
+dualbound = 3186639.149931, lowerbound=1235957.149931, norm of subgrad 1112.340393 dualbound = 3186639.149931, lowerbound=1235957.149931, norm of subgrad 38.036718 stepsize= 1.000000
+dualbound = 3186731.216474, lowerbound=1240463.216474, norm of subgrad 1114.384232 dualbound = 3186731.216474, lowerbound=1240463.216474, norm of subgrad 38.484627 stepsize= 1.000000
+dualbound = 3186827.550844, lowerbound=1240318.550844, norm of subgrad 1114.296438 dualbound = 3186827.550844, lowerbound=1240318.550844, norm of subgrad 37.872607 stepsize= 1.000000
+dualbound = 3186964.294473, lowerbound=1241023.294473, norm of subgrad 1114.584808 dualbound = 3186964.294473, lowerbound=1241023.294473, norm of subgrad 37.586482 stepsize= 1.000000
+dualbound = 3187088.175849, lowerbound=1236246.175849, norm of subgrad 1112.420863 dualbound = 3187088.175849, lowerbound=1236246.175849, norm of subgrad 36.849442 stepsize= 1.000000
+dualbound = 3187185.706973, lowerbound=1245975.706973, norm of subgrad 1116.830653 dualbound = 3187185.706973, lowerbound=1245975.706973, norm of subgrad 37.848793 stepsize= 1.000000
+dualbound = 3187272.301929, lowerbound=1233206.301929, norm of subgrad 1111.068541 dualbound = 3187272.301929, lowerbound=1233206.301929, norm of subgrad 36.791235 stepsize= 1.000000
+dualbound = 3187383.045869, lowerbound=1237954.045869, norm of subgrad 1113.234048 dualbound = 3187383.045869, lowerbound=1237954.045869, norm of subgrad 38.036087 stepsize= 1.000000
+dualbound = 3187472.567228, lowerbound=1237936.567228, norm of subgrad 1113.209130 dualbound = 3187472.567228, lowerbound=1237936.567228, norm of subgrad 37.249448 stepsize= 1.000000
+dualbound = 3187578.224201, lowerbound=1241771.224201, norm of subgrad 1114.974540 dualbound = 3187578.224201, lowerbound=1241771.224201, norm of subgrad 38.764120 stepsize= 1.000000
+dualbound = 3187656.920734, lowerbound=1240070.920734, norm of subgrad 1114.219422 dualbound = 3187656.920734, lowerbound=1240070.920734, norm of subgrad 38.635431 stepsize= 1.000000
+dualbound = 3187792.940314, lowerbound=1240187.940314, norm of subgrad 1114.220328 dualbound = 3187792.940314, lowerbound=1240187.940314, norm of subgrad 37.881652 stepsize= 1.000000
+dualbound = 3187895.783790, lowerbound=1233813.783790, norm of subgrad 1111.390023 dualbound = 3187895.783790, lowerbound=1233813.783790, norm of subgrad 38.429721 stepsize= 1.000000
+dualbound = 3187991.427831, lowerbound=1242832.427831, norm of subgrad 1115.420740 dualbound = 3187991.427831, lowerbound=1242832.427831, norm of subgrad 37.770942 stepsize= 1.000000
+dualbound = 3188117.316003, lowerbound=1243124.316003, norm of subgrad 1115.554712 dualbound = 3188117.316003, lowerbound=1243124.316003, norm of subgrad 38.260792 stepsize= 1.000000
+dualbound = 3188180.919459, lowerbound=1241873.919459, norm of subgrad 1115.034044 dualbound = 3188180.919459, lowerbound=1241873.919459, norm of subgrad 38.608334 stepsize= 1.000000
+dualbound = 3188288.155916, lowerbound=1233469.155916, norm of subgrad 1111.236319 dualbound = 3188288.155916, lowerbound=1233469.155916, norm of subgrad 38.525790 stepsize= 1.000000
+dualbound = 3188419.466212, lowerbound=1245307.466212, norm of subgrad 1116.561000 dualbound = 3188419.466212, lowerbound=1245307.466212, norm of subgrad 39.144735 stepsize= 1.000000
+dualbound = 3188487.922693, lowerbound=1236806.922693, norm of subgrad 1112.756453 dualbound = 3188487.922693, lowerbound=1236806.922693, norm of subgrad 38.580519 stepsize= 1.000000
+dualbound = 3188621.806934, lowerbound=1241258.806934, norm of subgrad 1114.698976 dualbound = 3188621.806934, lowerbound=1241258.806934, norm of subgrad 37.800585 stepsize= 1.000000
+dualbound = 3188737.103326, lowerbound=1234512.103326, norm of subgrad 1111.693799 dualbound = 3188737.103326, lowerbound=1234512.103326, norm of subgrad 38.292250 stepsize= 1.000000
+dualbound = 3188844.035418, lowerbound=1238453.035418, norm of subgrad 1113.440180 dualbound = 3188844.035418, lowerbound=1238453.035418, norm of subgrad 37.455735 stepsize= 1.000000
+dualbound = 3188943.520378, lowerbound=1237547.520378, norm of subgrad 1113.038418 dualbound = 3188943.520378, lowerbound=1237547.520378, norm of subgrad 37.503133 stepsize= 1.000000
+dualbound = 3189070.472732, lowerbound=1243397.472732, norm of subgrad 1115.672655 dualbound = 3189070.472732, lowerbound=1243397.472732, norm of subgrad 38.143838 stepsize= 1.000000
+dualbound = 3189138.289825, lowerbound=1239075.289825, norm of subgrad 1113.746960 dualbound = 3189138.289825, lowerbound=1239075.289825, norm of subgrad 37.746749 stepsize= 1.000000
+dualbound = 3189251.739972, lowerbound=1242582.739972, norm of subgrad 1115.329879 dualbound = 3189251.739972, lowerbound=1242582.739972, norm of subgrad 38.619298 stepsize= 1.000000
+dualbound = 3189366.588574, lowerbound=1239969.588574, norm of subgrad 1114.129072 dualbound = 3189366.588574, lowerbound=1239969.588574, norm of subgrad 37.800114 stepsize= 1.000000
+dualbound = 3189461.756233, lowerbound=1241071.756233, norm of subgrad 1114.650060 dualbound = 3189461.756233, lowerbound=1241071.756233, norm of subgrad 38.316676 stepsize= 1.000000
+dualbound = 3189584.811123, lowerbound=1235881.811123, norm of subgrad 1112.288996 dualbound = 3189584.811123, lowerbound=1235881.811123, norm of subgrad 37.789614 stepsize= 1.000000
+dualbound = 3189692.544891, lowerbound=1238540.544891, norm of subgrad 1113.494295 dualbound = 3189692.544891, lowerbound=1238540.544891, norm of subgrad 37.904271 stepsize= 1.000000
+dualbound = 3189791.262261, lowerbound=1242466.262261, norm of subgrad 1115.253452 dualbound = 3189791.262261, lowerbound=1242466.262261, norm of subgrad 37.718926 stepsize= 1.000000
+dualbound = 3189901.972569, lowerbound=1238704.972569, norm of subgrad 1113.571270 dualbound = 3189901.972569, lowerbound=1238704.972569, norm of subgrad 38.035645 stepsize= 1.000000
+dualbound = 3189994.345425, lowerbound=1241891.345425, norm of subgrad 1115.016747 dualbound = 3189994.345425, lowerbound=1241891.345425, norm of subgrad 38.254057 stepsize= 1.000000
+dualbound = 3190105.747338, lowerbound=1237336.747338, norm of subgrad 1112.943281 dualbound = 3190105.747338, lowerbound=1237336.747338, norm of subgrad 37.648399 stepsize= 1.000000
+dualbound = 3190230.527036, lowerbound=1240404.527036, norm of subgrad 1114.326042 dualbound = 3190230.527036, lowerbound=1240404.527036, norm of subgrad 37.983940 stepsize= 1.000000
+dualbound = 3190320.757729, lowerbound=1236368.757729, norm of subgrad 1112.515958 dualbound = 3190320.757729, lowerbound=1236368.757729, norm of subgrad 37.592961 stepsize= 1.000000
+dualbound = 3190426.195568, lowerbound=1238775.195568, norm of subgrad 1113.587085 dualbound = 3190426.195568, lowerbound=1238775.195568, norm of subgrad 37.502504 stepsize= 1.000000
+dualbound = 3190531.685210, lowerbound=1242662.685210, norm of subgrad 1115.339269 dualbound = 3190531.685210, lowerbound=1242662.685210, norm of subgrad 37.742412 stepsize= 1.000000
+dualbound = 3190616.507720, lowerbound=1235913.507720, norm of subgrad 1112.316280 dualbound = 3190616.507720, lowerbound=1235913.507720, norm of subgrad 37.667260 stepsize= 1.000000
+dualbound = 3190750.558372, lowerbound=1240700.558372, norm of subgrad 1114.459761 dualbound = 3190750.558372, lowerbound=1240700.558372, norm of subgrad 38.132016 stepsize= 1.000000
+dualbound = 3190814.309382, lowerbound=1238914.309382, norm of subgrad 1113.656280 dualbound = 3190814.309382, lowerbound=1238914.309382, norm of subgrad 37.145000 stepsize= 1.000000
+dualbound = 3190952.394522, lowerbound=1241988.394522, norm of subgrad 1115.041432 dualbound = 3190952.394522, lowerbound=1241988.394522, norm of subgrad 38.302547 stepsize= 1.000000
+dualbound = 3191038.790191, lowerbound=1236508.790191, norm of subgrad 1112.598216 dualbound = 3191038.790191, lowerbound=1236508.790191, norm of subgrad 38.110309 stepsize= 1.000000
+dualbound = 3191160.003887, lowerbound=1243028.003887, norm of subgrad 1115.498545 dualbound = 3191160.003887, lowerbound=1243028.003887, norm of subgrad 37.818166 stepsize= 1.000000
+dualbound = 3191239.970031, lowerbound=1238547.970031, norm of subgrad 1113.502568 dualbound = 3191239.970031, lowerbound=1238547.970031, norm of subgrad 37.682438 stepsize= 1.000000
+dualbound = 3191364.950573, lowerbound=1241877.950573, norm of subgrad 1114.990561 dualbound = 3191364.950573, lowerbound=1241877.950573, norm of subgrad 38.091739 stepsize= 1.000000
+dualbound = 3191478.874997, lowerbound=1234452.874997, norm of subgrad 1111.669859 dualbound = 3191478.874997, lowerbound=1234452.874997, norm of subgrad 38.352633 stepsize= 1.000000
+dualbound = 3191566.879333, lowerbound=1241051.879333, norm of subgrad 1114.645629 dualbound = 3191566.879333, lowerbound=1241051.879333, norm of subgrad 38.353674 stepsize= 1.000000
+dualbound = 3191654.274258, lowerbound=1243176.274258, norm of subgrad 1115.583827 dualbound = 3191654.274258, lowerbound=1243176.274258, norm of subgrad 37.926177 stepsize= 1.000000
+dualbound = 3191803.048958, lowerbound=1239719.048958, norm of subgrad 1114.039967 dualbound = 3191803.048958, lowerbound=1239719.048958, norm of subgrad 38.920107 stepsize= 1.000000
+dualbound = 3191863.941254, lowerbound=1237848.941254, norm of subgrad 1113.208849 dualbound = 3191863.941254, lowerbound=1237848.941254, norm of subgrad 38.024890 stepsize= 1.000000
+dualbound = 3191977.063876, lowerbound=1237493.063876, norm of subgrad 1113.051240 dualbound = 3191977.063876, lowerbound=1237493.063876, norm of subgrad 38.770125 stepsize= 1.000000
+dualbound = 3192065.240315, lowerbound=1245300.240315, norm of subgrad 1116.543434 dualbound = 3192065.240315, lowerbound=1245300.240315, norm of subgrad 38.172980 stepsize= 1.000000
+dualbound = 3192202.192192, lowerbound=1239075.192192, norm of subgrad 1113.747365 dualbound = 3192202.192192, lowerbound=1239075.192192, norm of subgrad 38.664608 stepsize= 1.000000
+dualbound = 3192306.038445, lowerbound=1241212.038445, norm of subgrad 1114.677549 dualbound = 3192306.038445, lowerbound=1241212.038445, norm of subgrad 37.387782 stepsize= 1.000000
+dualbound = 3192426.609642, lowerbound=1238209.609642, norm of subgrad 1113.362299 dualbound = 3192426.609642, lowerbound=1238209.609642, norm of subgrad 38.556079 stepsize= 1.000000
+dualbound = 3192500.455273, lowerbound=1237626.455273, norm of subgrad 1113.096337 dualbound = 3192500.455273, lowerbound=1237626.455273, norm of subgrad 37.826520 stepsize= 1.000000
+dualbound = 3192596.784136, lowerbound=1242976.784136, norm of subgrad 1115.496654 dualbound = 3192596.784136, lowerbound=1242976.784136, norm of subgrad 38.109433 stepsize= 1.000000
+dualbound = 3192726.824852, lowerbound=1233922.824852, norm of subgrad 1111.391841 dualbound = 3192726.824852, lowerbound=1233922.824852, norm of subgrad 37.403753 stepsize= 1.000000
+dualbound = 3192844.268374, lowerbound=1241260.268374, norm of subgrad 1114.716676 dualbound = 3192844.268374, lowerbound=1241260.268374, norm of subgrad 38.084689 stepsize= 1.000000
+dualbound = 3192928.518764, lowerbound=1237790.518764, norm of subgrad 1113.147124 dualbound = 3192928.518764, lowerbound=1237790.518764, norm of subgrad 37.286062 stepsize= 1.000000
+dualbound = 3193053.402219, lowerbound=1239341.402219, norm of subgrad 1113.848465 dualbound = 3193053.402219, lowerbound=1239341.402219, norm of subgrad 37.972141 stepsize= 1.000000
+dualbound = 3193149.905318, lowerbound=1245487.905318, norm of subgrad 1116.614932 dualbound = 3193149.905318, lowerbound=1245487.905318, norm of subgrad 37.914418 stepsize= 1.000000
+dualbound = 3193248.081657, lowerbound=1237427.081657, norm of subgrad 1112.991052 dualbound = 3193248.081657, lowerbound=1237427.081657, norm of subgrad 37.685227 stepsize= 1.000000
+dualbound = 3193345.287426, lowerbound=1244278.287426, norm of subgrad 1116.073155 dualbound = 3193345.287426, lowerbound=1244278.287426, norm of subgrad 37.923683 stepsize= 1.000000
+dualbound = 3193455.850035, lowerbound=1235758.850035, norm of subgrad 1112.271932 dualbound = 3193455.850035, lowerbound=1235758.850035, norm of subgrad 38.737096 stepsize= 1.000000
+dualbound = 3193537.441187, lowerbound=1243685.441187, norm of subgrad 1115.806184 dualbound = 3193537.441187, lowerbound=1243685.441187, norm of subgrad 37.677462 stepsize= 1.000000
+dualbound = 3193674.054663, lowerbound=1238099.054663, norm of subgrad 1113.300972 dualbound = 3193674.054663, lowerbound=1238099.054663, norm of subgrad 38.426729 stepsize= 1.000000
+dualbound = 3193776.648502, lowerbound=1238116.648502, norm of subgrad 1113.278783 dualbound = 3193776.648502, lowerbound=1238116.648502, norm of subgrad 37.088999 stepsize= 1.000000
+dualbound = 3193891.270161, lowerbound=1236277.270161, norm of subgrad 1112.448322 dualbound = 3193891.270161, lowerbound=1236277.270161, norm of subgrad 37.129795 stepsize= 1.000000
+dualbound = 3193986.509425, lowerbound=1242680.509425, norm of subgrad 1115.346811 dualbound = 3193986.509425, lowerbound=1242680.509425, norm of subgrad 37.593075 stepsize= 1.000000
+dualbound = 3194047.938722, lowerbound=1243179.938722, norm of subgrad 1115.610568 dualbound = 3194047.938722, lowerbound=1243179.938722, norm of subgrad 38.320090 stepsize= 1.000000
+dualbound = 3194164.690096, lowerbound=1239517.690096, norm of subgrad 1113.928943 dualbound = 3194164.690096, lowerbound=1239517.690096, norm of subgrad 37.904503 stepsize= 1.000000
+dualbound = 3194284.349942, lowerbound=1243489.349942, norm of subgrad 1115.722344 dualbound = 3194284.349942, lowerbound=1243489.349942, norm of subgrad 38.296995 stepsize= 1.000000
+dualbound = 3194377.617550, lowerbound=1240076.617550, norm of subgrad 1114.195054 dualbound = 3194377.617550, lowerbound=1240076.617550, norm of subgrad 38.042971 stepsize= 1.000000
+dualbound = 3194476.599829, lowerbound=1235061.599829, norm of subgrad 1111.977338 dualbound = 3194476.599829, lowerbound=1235061.599829, norm of subgrad 39.127769 stepsize= 1.000000
+dualbound = 3194573.519289, lowerbound=1239014.519289, norm of subgrad 1113.722371 dualbound = 3194573.519289, lowerbound=1239014.519289, norm of subgrad 38.208892 stepsize= 1.000000
+dualbound = 3194703.839308, lowerbound=1239662.839308, norm of subgrad 1114.003519 dualbound = 3194703.839308, lowerbound=1239662.839308, norm of subgrad 38.357790 stepsize= 1.000000
+dualbound = 3194820.086450, lowerbound=1244546.086450, norm of subgrad 1116.194018 dualbound = 3194820.086450, lowerbound=1244546.086450, norm of subgrad 38.200093 stepsize= 1.000000
+dualbound = 3194910.571802, lowerbound=1235907.571802, norm of subgrad 1112.340133 dualbound = 3194910.571802, lowerbound=1235907.571802, norm of subgrad 38.516040 stepsize= 1.000000
+dualbound = 3194998.748491, lowerbound=1239863.748491, norm of subgrad 1114.094138 dualbound = 3194998.748491, lowerbound=1239863.748491, norm of subgrad 37.817677 stepsize= 1.000000
+dualbound = 3195133.093539, lowerbound=1240736.093539, norm of subgrad 1114.487368 dualbound = 3195133.093539, lowerbound=1240736.093539, norm of subgrad 38.475252 stepsize= 1.000000
+dualbound = 3195234.375050, lowerbound=1239181.375050, norm of subgrad 1113.802215 dualbound = 3195234.375050, lowerbound=1239181.375050, norm of subgrad 38.409394 stepsize= 1.000000
+dualbound = 3195312.687950, lowerbound=1243708.687950, norm of subgrad 1115.811672 dualbound = 3195312.687950, lowerbound=1243708.687950, norm of subgrad 37.487503 stepsize= 1.000000
+dualbound = 3195437.016218, lowerbound=1243336.016218, norm of subgrad 1115.641975 dualbound = 3195437.016218, lowerbound=1243336.016218, norm of subgrad 38.017473 stepsize= 1.000000
+dualbound = 3195545.958859, lowerbound=1242756.958859, norm of subgrad 1115.397220 dualbound = 3195545.958859, lowerbound=1242756.958859, norm of subgrad 38.248433 stepsize= 1.000000
+dualbound = 3195660.560908, lowerbound=1241137.560908, norm of subgrad 1114.624852 dualbound = 3195660.560908, lowerbound=1241137.560908, norm of subgrad 36.954053 stepsize= 1.000000
+dualbound = 3195731.210979, lowerbound=1245004.210979, norm of subgrad 1116.388468 dualbound = 3195731.210979, lowerbound=1245004.210979, norm of subgrad 37.278011 stepsize= 1.000000
+dualbound = 3195858.110104, lowerbound=1233413.110104, norm of subgrad 1111.164304 dualbound = 3195858.110104, lowerbound=1233413.110104, norm of subgrad 37.415226 stepsize= 1.000000
+dualbound = 3195960.358264, lowerbound=1237415.358264, norm of subgrad 1113.010044 dualbound = 3195960.358264, lowerbound=1237415.358264, norm of subgrad 38.447993 stepsize= 1.000000
+dualbound = 3196036.767227, lowerbound=1241137.767227, norm of subgrad 1114.665765 dualbound = 3196036.767227, lowerbound=1241137.767227, norm of subgrad 37.661771 stepsize= 1.000000
+dualbound = 3196159.350389, lowerbound=1236928.350389, norm of subgrad 1112.776865 dualbound = 3196159.350389, lowerbound=1236928.350389, norm of subgrad 38.295994 stepsize= 1.000000
+dualbound = 3196260.080992, lowerbound=1242636.080992, norm of subgrad 1115.312549 dualbound = 3196260.080992, lowerbound=1242636.080992, norm of subgrad 37.238832 stepsize= 1.000000
+dualbound = 3196402.810052, lowerbound=1243291.810052, norm of subgrad 1115.597064 dualbound = 3196402.810052, lowerbound=1243291.810052, norm of subgrad 37.519716 stepsize= 1.000000
+dualbound = 3196459.234661, lowerbound=1233675.234661, norm of subgrad 1111.333539 dualbound = 3196459.234661, lowerbound=1233675.234661, norm of subgrad 37.992428 stepsize= 1.000000
+dualbound = 3196587.395327, lowerbound=1241403.395327, norm of subgrad 1114.778182 dualbound = 3196587.395327, lowerbound=1241403.395327, norm of subgrad 38.146568 stepsize= 1.000000
+dualbound = 3196670.029328, lowerbound=1237949.029328, norm of subgrad 1113.231795 dualbound = 3196670.029328, lowerbound=1237949.029328, norm of subgrad 37.664758 stepsize= 1.000000
+dualbound = 3196811.943976, lowerbound=1245331.943976, norm of subgrad 1116.498967 dualbound = 3196811.943976, lowerbound=1245331.943976, norm of subgrad 37.147202 stepsize= 1.000000
+dualbound = 3196895.188214, lowerbound=1236290.188214, norm of subgrad 1112.470309 dualbound = 3196895.188214, lowerbound=1236290.188214, norm of subgrad 37.191992 stepsize= 1.000000
+dualbound = 3197024.988632, lowerbound=1243074.988632, norm of subgrad 1115.505262 dualbound = 3197024.988632, lowerbound=1243074.988632, norm of subgrad 37.507338 stepsize= 1.000000
+dualbound = 3197104.649083, lowerbound=1236936.649083, norm of subgrad 1112.732065 dualbound = 3197104.649083, lowerbound=1236936.649083, norm of subgrad 36.272034 stepsize= 1.000000
+dualbound = 3197229.685654, lowerbound=1241523.685654, norm of subgrad 1114.854110 dualbound = 3197229.685654, lowerbound=1241523.685654, norm of subgrad 38.743213 stepsize= 1.000000
+dualbound = 3197281.813115, lowerbound=1242103.813115, norm of subgrad 1115.116054 dualbound = 3197281.813115, lowerbound=1242103.813115, norm of subgrad 37.843460 stepsize= 1.000000
+dualbound = 3197408.069263, lowerbound=1237990.069263, norm of subgrad 1113.273582 dualbound = 3197408.069263, lowerbound=1237990.069263, norm of subgrad 38.913444 stepsize= 1.000000
+dualbound = 3197505.494310, lowerbound=1241171.494310, norm of subgrad 1114.673268 dualbound = 3197505.494310, lowerbound=1241171.494310, norm of subgrad 37.715051 stepsize= 1.000000
+dualbound = 3197615.719851, lowerbound=1241522.719851, norm of subgrad 1114.861301 dualbound = 3197615.719851, lowerbound=1241522.719851, norm of subgrad 38.771453 stepsize= 1.000000
+dualbound = 3197692.724515, lowerbound=1240225.724515, norm of subgrad 1114.295169 dualbound = 3197692.724515, lowerbound=1240225.724515, norm of subgrad 38.794390 stepsize= 1.000000
+dualbound = 3197809.909200, lowerbound=1246200.909200, norm of subgrad 1116.953853 dualbound = 3197809.909200, lowerbound=1246200.909200, norm of subgrad 38.758027 stepsize= 1.000000
+dualbound = 3197922.175983, lowerbound=1237599.175983, norm of subgrad 1113.084532 dualbound = 3197922.175983, lowerbound=1237599.175983, norm of subgrad 38.344058 stepsize= 1.000000
+dualbound = 3198025.764223, lowerbound=1240925.764223, norm of subgrad 1114.585916 dualbound = 3198025.764223, lowerbound=1240925.764223, norm of subgrad 38.465416 stepsize= 1.000000
+dualbound = 3198153.856884, lowerbound=1241096.856884, norm of subgrad 1114.645171 dualbound = 3198153.856884, lowerbound=1241096.856884, norm of subgrad 38.276529 stepsize= 1.000000
+dualbound = 3198254.775254, lowerbound=1242846.775254, norm of subgrad 1115.420448 dualbound = 3198254.775254, lowerbound=1242846.775254, norm of subgrad 37.641976 stepsize= 1.000000
+dualbound = 3198359.016324, lowerbound=1239558.016324, norm of subgrad 1113.897220 dualbound = 3198359.016324, lowerbound=1239558.016324, norm of subgrad 36.238668 stepsize= 1.000000
+dualbound = 3198496.299658, lowerbound=1241265.299658, norm of subgrad 1114.696506 dualbound = 3198496.299658, lowerbound=1241265.299658, norm of subgrad 37.686647 stepsize= 1.000000
+dualbound = 3198548.618589, lowerbound=1238176.618589, norm of subgrad 1113.347034 dualbound = 3198548.618589, lowerbound=1238176.618589, norm of subgrad 37.647296 stepsize= 1.000000
+dualbound = 3198661.207712, lowerbound=1242484.207712, norm of subgrad 1115.260152 dualbound = 3198661.207712, lowerbound=1242484.207712, norm of subgrad 37.862767 stepsize= 1.000000
+dualbound = 3198756.110070, lowerbound=1236625.110070, norm of subgrad 1112.617234 dualbound = 3198756.110070, lowerbound=1236625.110070, norm of subgrad 37.241138 stepsize= 1.000000
+dualbound = 3198895.625458, lowerbound=1237603.625458, norm of subgrad 1113.080242 dualbound = 3198895.625458, lowerbound=1237603.625458, norm of subgrad 38.516430 stepsize= 1.000000
+dualbound = 3198963.940447, lowerbound=1240473.940447, norm of subgrad 1114.387249 dualbound = 3198963.940447, lowerbound=1240473.940447, norm of subgrad 38.122369 stepsize= 1.000000
+dualbound = 3199085.656889, lowerbound=1246921.656889, norm of subgrad 1117.232589 dualbound = 3199085.656889, lowerbound=1246921.656889, norm of subgrad 37.532871 stepsize= 1.000000
+dualbound = 3199216.430163, lowerbound=1233576.430163, norm of subgrad 1111.249491 dualbound = 3199216.430163, lowerbound=1233576.430163, norm of subgrad 37.812343 stepsize= 1.000000
+dualbound = 3199299.561489, lowerbound=1242788.561489, norm of subgrad 1115.428421 dualbound = 3199299.561489, lowerbound=1242788.561489, norm of subgrad 38.407438 stepsize= 1.000000
+dualbound = 3199378.435782, lowerbound=1239417.435782, norm of subgrad 1113.902795 dualbound = 3199378.435782, lowerbound=1239417.435782, norm of subgrad 37.958850 stepsize= 1.000000
+dualbound = 3199510.611301, lowerbound=1244214.611301, norm of subgrad 1116.042388 dualbound = 3199510.611301, lowerbound=1244214.611301, norm of subgrad 38.316779 stepsize= 1.000000
+dualbound = 3199601.059910, lowerbound=1240238.059910, norm of subgrad 1114.262115 dualbound = 3199601.059910, lowerbound=1240238.059910, norm of subgrad 37.847703 stepsize= 1.000000
+dualbound = 3199734.970639, lowerbound=1245426.970639, norm of subgrad 1116.605110 dualbound = 3199734.970639, lowerbound=1245426.970639, norm of subgrad 38.909006 stepsize= 1.000000
+dualbound = 3199794.972761, lowerbound=1240502.972761, norm of subgrad 1114.402967 dualbound = 3199794.972761, lowerbound=1240502.972761, norm of subgrad 38.092022 stepsize= 1.000000
+dualbound = 3199916.374335, lowerbound=1239296.374335, norm of subgrad 1113.815233 dualbound = 3199916.374335, lowerbound=1239296.374335, norm of subgrad 37.541997 stepsize= 1.000000
+dualbound = 3200011.077370, lowerbound=1237061.077370, norm of subgrad 1112.818528 dualbound = 3200011.077370, lowerbound=1237061.077370, norm of subgrad 37.399238 stepsize= 1.000000
+dualbound = 3200141.797453, lowerbound=1244695.797453, norm of subgrad 1116.252569 dualbound = 3200141.797453, lowerbound=1244695.797453, norm of subgrad 38.140793 stepsize= 1.000000
+dualbound = 3200214.847522, lowerbound=1238061.847522, norm of subgrad 1113.271686 dualbound = 3200214.847522, lowerbound=1238061.847522, norm of subgrad 37.216261 stepsize= 1.000000
+dualbound = 3200347.015030, lowerbound=1238881.015030, norm of subgrad 1113.643576 dualbound = 3200347.015030, lowerbound=1238881.015030, norm of subgrad 38.120434 stepsize= 1.000000
+dualbound = 3200436.669521, lowerbound=1239354.669521, norm of subgrad 1113.836464 dualbound = 3200436.669521, lowerbound=1239354.669521, norm of subgrad 36.968290 stepsize= 1.000000
+dualbound = 3200540.083313, lowerbound=1243936.083313, norm of subgrad 1115.905947 dualbound = 3200540.083313, lowerbound=1243936.083313, norm of subgrad 37.595396 stepsize= 1.000000
+dualbound = 3200636.780885, lowerbound=1245222.780885, norm of subgrad 1116.512777 dualbound = 3200636.780885, lowerbound=1245222.780885, norm of subgrad 38.401791 stepsize= 1.000000
+dualbound = 3200729.223764, lowerbound=1234837.223764, norm of subgrad 1111.848562 dualbound = 3200729.223764, lowerbound=1234837.223764, norm of subgrad 38.241900 stepsize= 1.000000
+dualbound = 3200835.898861, lowerbound=1242183.898861, norm of subgrad 1115.111608 dualbound = 3200835.898861, lowerbound=1242183.898861, norm of subgrad 37.372117 stepsize= 1.000000
+dualbound = 3200972.097030, lowerbound=1240508.097030, norm of subgrad 1114.377448 dualbound = 3200972.097030, lowerbound=1240508.097030, norm of subgrad 38.277907 stepsize= 1.000000
+dualbound = 3201063.452358, lowerbound=1239367.452358, norm of subgrad 1113.848038 dualbound = 3201063.452358, lowerbound=1239367.452358, norm of subgrad 37.166589 stepsize= 1.000000
+dualbound = 3201189.999942, lowerbound=1236702.999942, norm of subgrad 1112.645945 dualbound = 3201189.999942, lowerbound=1236702.999942, norm of subgrad 37.477294 stepsize= 1.000000
+dualbound = 3201284.270434, lowerbound=1242058.270434, norm of subgrad 1115.074110 dualbound = 3201284.270434, lowerbound=1242058.270434, norm of subgrad 37.765997 stepsize= 1.000000
+dualbound = 3201376.045925, lowerbound=1238071.045925, norm of subgrad 1113.309052 dualbound = 3201376.045925, lowerbound=1238071.045925, norm of subgrad 38.441846 stepsize= 1.000000
+dualbound = 3201450.617561, lowerbound=1244780.617561, norm of subgrad 1116.322811 dualbound = 3201450.617561, lowerbound=1244780.617561, norm of subgrad 38.348033 stepsize= 1.000000
+dualbound = 3201581.558583, lowerbound=1237323.558583, norm of subgrad 1112.962514 dualbound = 3201581.558583, lowerbound=1237323.558583, norm of subgrad 38.638595 stepsize= 1.000000
+dualbound = 3201681.671546, lowerbound=1243569.671546, norm of subgrad 1115.769542 dualbound = 3201681.671546, lowerbound=1243569.671546, norm of subgrad 38.368124 stepsize= 1.000000
+dualbound = 3201766.167350, lowerbound=1239954.167350, norm of subgrad 1114.157156 dualbound = 3201766.167350, lowerbound=1239954.167350, norm of subgrad 38.425198 stepsize= 1.000000
+dualbound = 3201888.047797, lowerbound=1242963.047797, norm of subgrad 1115.496772 dualbound = 3201888.047797, lowerbound=1242963.047797, norm of subgrad 38.624868 stepsize= 1.000000
+dualbound = 3201998.181270, lowerbound=1239897.181270, norm of subgrad 1114.099269 dualbound = 3201998.181270, lowerbound=1239897.181270, norm of subgrad 37.817106 stepsize= 1.000000
+dualbound = 3202125.908854, lowerbound=1243531.908854, norm of subgrad 1115.717665 dualbound = 3202125.908854, lowerbound=1243531.908854, norm of subgrad 37.705803 stepsize= 1.000000
+dualbound = 3202215.224748, lowerbound=1238885.224748, norm of subgrad 1113.623017 dualbound = 3202215.224748, lowerbound=1238885.224748, norm of subgrad 36.882461 stepsize= 1.000000
+dualbound = 3202324.419913, lowerbound=1239219.419913, norm of subgrad 1113.788768 dualbound = 3202324.419913, lowerbound=1239219.419913, norm of subgrad 37.619080 stepsize= 1.000000
+dualbound = 3202410.179831, lowerbound=1244170.179831, norm of subgrad 1116.039954 dualbound = 3202410.179831, lowerbound=1244170.179831, norm of subgrad 38.219889 stepsize= 1.000000
+dualbound = 3202504.866007, lowerbound=1235622.866007, norm of subgrad 1112.204058 dualbound = 3202504.866007, lowerbound=1235622.866007, norm of subgrad 38.336486 stepsize= 1.000000
+dualbound = 3202606.219993, lowerbound=1244854.219993, norm of subgrad 1116.331143 dualbound = 3202606.219993, lowerbound=1244854.219993, norm of subgrad 37.978336 stepsize= 1.000000
+dualbound = 3202724.292385, lowerbound=1240368.292385, norm of subgrad 1114.298565 dualbound = 3202724.292385, lowerbound=1240368.292385, norm of subgrad 37.564244 stepsize= 1.000000
+dualbound = 3202821.133414, lowerbound=1239664.133414, norm of subgrad 1113.991532 dualbound = 3202821.133414, lowerbound=1239664.133414, norm of subgrad 37.547850 stepsize= 1.000000
+dualbound = 3202937.648655, lowerbound=1239462.648655, norm of subgrad 1113.896606 dualbound = 3202937.648655, lowerbound=1239462.648655, norm of subgrad 37.676455 stepsize= 1.000000
+dualbound = 3203020.657222, lowerbound=1236088.657222, norm of subgrad 1112.413438 dualbound = 3203020.657222, lowerbound=1236088.657222, norm of subgrad 38.183878 stepsize= 1.000000
+dualbound = 3203156.431454, lowerbound=1242315.431454, norm of subgrad 1115.177309 dualbound = 3203156.431454, lowerbound=1242315.431454, norm of subgrad 37.957532 stepsize= 1.000000
+dualbound = 3203247.288823, lowerbound=1235791.288823, norm of subgrad 1112.264936 dualbound = 3203247.288823, lowerbound=1235791.288823, norm of subgrad 37.853103 stepsize= 1.000000
+dualbound = 3203345.464331, lowerbound=1243726.464331, norm of subgrad 1115.804402 dualbound = 3203345.464331, lowerbound=1243726.464331, norm of subgrad 37.298465 stepsize= 1.000000
+dualbound = 3203454.239196, lowerbound=1242256.239196, norm of subgrad 1115.201434 dualbound = 3203454.239196, lowerbound=1242256.239196, norm of subgrad 39.073967 stepsize= 1.000000
+dualbound = 3203546.728524, lowerbound=1244512.728524, norm of subgrad 1116.186691 dualbound = 3203546.728524, lowerbound=1244512.728524, norm of subgrad 38.111538 stepsize= 1.000000
+dualbound = 3203659.784015, lowerbound=1240623.784015, norm of subgrad 1114.423521 dualbound = 3203659.784015, lowerbound=1240623.784015, norm of subgrad 37.802850 stepsize= 1.000000
+dualbound = 3203777.414165, lowerbound=1238822.414165, norm of subgrad 1113.600204 dualbound = 3203777.414165, lowerbound=1238822.414165, norm of subgrad 37.424994 stepsize= 1.000000
+dualbound = 3203867.313298, lowerbound=1243045.313298, norm of subgrad 1115.500925 dualbound = 3203867.313298, lowerbound=1243045.313298, norm of subgrad 37.241095 stepsize= 1.000000
+dualbound = 3203992.202810, lowerbound=1242871.202810, norm of subgrad 1115.425122 dualbound = 3203992.202810, lowerbound=1242871.202810, norm of subgrad 37.774191 stepsize= 1.000000
+dualbound = 3204085.891054, lowerbound=1240888.891054, norm of subgrad 1114.521373 dualbound = 3204085.891054, lowerbound=1240888.891054, norm of subgrad 36.914607 stepsize= 1.000000
+dualbound = 3204204.007331, lowerbound=1242055.007331, norm of subgrad 1115.046191 dualbound = 3204204.007331, lowerbound=1242055.007331, norm of subgrad 37.297671 stepsize= 1.000000
+dualbound = 3204293.276849, lowerbound=1238587.276849, norm of subgrad 1113.491929 dualbound = 3204293.276849, lowerbound=1238587.276849, norm of subgrad 36.963083 stepsize= 1.000000
+dualbound = 3204408.761762, lowerbound=1240413.761762, norm of subgrad 1114.328390 dualbound = 3204408.761762, lowerbound=1240413.761762, norm of subgrad 37.808530 stepsize= 1.000000
+dualbound = 3204502.947591, lowerbound=1238849.947591, norm of subgrad 1113.669137 dualbound = 3204502.947591, lowerbound=1238849.947591, norm of subgrad 38.770941 stepsize= 1.000000
+dualbound = 3204588.232809, lowerbound=1242147.232809, norm of subgrad 1115.127003 dualbound = 3204588.232809, lowerbound=1242147.232809, norm of subgrad 38.030057 stepsize= 1.000000
+dualbound = 3204703.216279, lowerbound=1238229.216279, norm of subgrad 1113.353141 dualbound = 3204703.216279, lowerbound=1238229.216279, norm of subgrad 37.960288 stepsize= 1.000000
+dualbound = 3204812.954460, lowerbound=1240487.954460, norm of subgrad 1114.408791 dualbound = 3204812.954460, lowerbound=1240487.954460, norm of subgrad 39.099082 stepsize= 1.000000
+dualbound = 3204887.578404, lowerbound=1238860.578404, norm of subgrad 1113.661339 dualbound = 3204887.578404, lowerbound=1238860.578404, norm of subgrad 38.152640 stepsize= 1.000000
+dualbound = 3205013.867358, lowerbound=1239734.867358, norm of subgrad 1114.026870 dualbound = 3205013.867358, lowerbound=1239734.867358, norm of subgrad 38.043251 stepsize= 1.000000
+dualbound = 3205161.497235, lowerbound=1241561.497235, norm of subgrad 1114.836982 dualbound = 3205161.497235, lowerbound=1241561.497235, norm of subgrad 38.047732 stepsize= 1.000000
+dualbound = 3205225.806095, lowerbound=1237948.806095, norm of subgrad 1113.230347 dualbound = 3205225.806095, lowerbound=1237948.806095, norm of subgrad 37.380595 stepsize= 1.000000
+dualbound = 3205344.559299, lowerbound=1243409.559299, norm of subgrad 1115.696446 dualbound = 3205344.559299, lowerbound=1243409.559299, norm of subgrad 38.571404 stepsize= 1.000000
+dualbound = 3205424.806740, lowerbound=1244294.806740, norm of subgrad 1116.080108 dualbound = 3205424.806740, lowerbound=1244294.806740, norm of subgrad 37.686170 stepsize= 1.000000
+dualbound = 3205558.087734, lowerbound=1240972.087734, norm of subgrad 1114.576641 dualbound = 3205558.087734, lowerbound=1240972.087734, norm of subgrad 37.977375 stepsize= 1.000000
+dualbound = 3205656.258053, lowerbound=1241737.258053, norm of subgrad 1114.912668 dualbound = 3205656.258053, lowerbound=1241737.258053, norm of subgrad 37.298396 stepsize= 1.000000
+dualbound = 3205768.291866, lowerbound=1244227.291866, norm of subgrad 1116.029252 dualbound = 3205768.291866, lowerbound=1244227.291866, norm of subgrad 37.497117 stepsize= 1.000000
+dualbound = 3205867.825017, lowerbound=1242611.825017, norm of subgrad 1115.328573 dualbound = 3205867.825017, lowerbound=1242611.825017, norm of subgrad 38.020168 stepsize= 1.000000
+dualbound = 3205956.775120, lowerbound=1239750.775120, norm of subgrad 1114.053758 dualbound = 3205956.775120, lowerbound=1239750.775120, norm of subgrad 38.130698 stepsize= 1.000000
+dualbound = 3206042.051473, lowerbound=1240477.051473, norm of subgrad 1114.392683 dualbound = 3206042.051473, lowerbound=1240477.051473, norm of subgrad 38.461362 stepsize= 1.000000
+dualbound = 3206151.083878, lowerbound=1237507.083878, norm of subgrad 1113.012167 dualbound = 3206151.083878, lowerbound=1237507.083878, norm of subgrad 37.390272 stepsize= 1.000000
+dualbound = 3206269.378156, lowerbound=1237889.378156, norm of subgrad 1113.215782 dualbound = 3206269.378156, lowerbound=1237889.378156, norm of subgrad 38.448593 stepsize= 1.000000
+dualbound = 3206384.753072, lowerbound=1242579.753072, norm of subgrad 1115.268018 dualbound = 3206384.753072, lowerbound=1242579.753072, norm of subgrad 36.856138 stepsize= 1.000000
+dualbound = 3206490.591925, lowerbound=1247304.591925, norm of subgrad 1117.407084 dualbound = 3206490.591925, lowerbound=1247304.591925, norm of subgrad 37.414420 stepsize= 1.000000
+dualbound = 3206581.217982, lowerbound=1239684.217982, norm of subgrad 1114.007728 dualbound = 3206581.217982, lowerbound=1239684.217982, norm of subgrad 37.677925 stepsize= 1.000000
+dualbound = 3206698.614354, lowerbound=1236084.614354, norm of subgrad 1112.390495 dualbound = 3206698.614354, lowerbound=1236084.614354, norm of subgrad 38.018369 stepsize= 1.000000
+dualbound = 3206800.834842, lowerbound=1241238.834842, norm of subgrad 1114.703923 dualbound = 3206800.834842, lowerbound=1241238.834842, norm of subgrad 37.791805 stepsize= 1.000000
+dualbound = 3206905.821142, lowerbound=1243812.821142, norm of subgrad 1115.867295 dualbound = 3206905.821142, lowerbound=1243812.821142, norm of subgrad 38.104938 stepsize= 1.000000
+dualbound = 3206984.319274, lowerbound=1240632.319274, norm of subgrad 1114.439913 dualbound = 3206984.319274, lowerbound=1240632.319274, norm of subgrad 37.716020 stepsize= 1.000000
+dualbound = 3207094.381789, lowerbound=1242879.381789, norm of subgrad 1115.428788 dualbound = 3207094.381789, lowerbound=1242879.381789, norm of subgrad 37.577420 stepsize= 1.000000
+dualbound = 3207204.149444, lowerbound=1237879.149444, norm of subgrad 1113.192324 dualbound = 3207204.149444, lowerbound=1237879.149444, norm of subgrad 37.785813 stepsize= 1.000000
+dualbound = 3207302.929007, lowerbound=1239042.929007, norm of subgrad 1113.711780 dualbound = 3207302.929007, lowerbound=1239042.929007, norm of subgrad 37.547031 stepsize= 1.000000
+dualbound = 3207433.052964, lowerbound=1241606.052964, norm of subgrad 1114.864141 dualbound = 3207433.052964, lowerbound=1241606.052964, norm of subgrad 38.027937 stepsize= 1.000000
+dualbound = 3207515.702144, lowerbound=1242631.702144, norm of subgrad 1115.313724 dualbound = 3207515.702144, lowerbound=1242631.702144, norm of subgrad 37.089745 stepsize= 1.000000
+dualbound = 3207618.750994, lowerbound=1241035.750994, norm of subgrad 1114.616863 dualbound = 3207618.750994, lowerbound=1241035.750994, norm of subgrad 37.921615 stepsize= 1.000000
+dualbound = 3207707.944308, lowerbound=1242313.944308, norm of subgrad 1115.194577 dualbound = 3207707.944308, lowerbound=1242313.944308, norm of subgrad 37.870745 stepsize= 1.000000
+dualbound = 3207821.672595, lowerbound=1241271.672595, norm of subgrad 1114.746461 dualbound = 3207821.672595, lowerbound=1241271.672595, norm of subgrad 38.752139 stepsize= 1.000000
+dualbound = 3207918.185551, lowerbound=1244130.185551, norm of subgrad 1116.011732 dualbound = 3207918.185551, lowerbound=1244130.185551, norm of subgrad 38.059335 stepsize= 1.000000
+dualbound = 3208016.130236, lowerbound=1240102.130236, norm of subgrad 1114.250479 dualbound = 3208016.130236, lowerbound=1240102.130236, norm of subgrad 39.369337 stepsize= 1.000000
+dualbound = 3208093.625924, lowerbound=1241244.625924, norm of subgrad 1114.755859 dualbound = 3208093.625924, lowerbound=1241244.625924, norm of subgrad 38.903672 stepsize= 1.000000
+dualbound = 3208218.739212, lowerbound=1238990.739212, norm of subgrad 1113.700920 dualbound = 3208218.739212, lowerbound=1238990.739212, norm of subgrad 38.263733 stepsize= 1.000000
+dualbound = 3208336.460523, lowerbound=1237736.460523, norm of subgrad 1113.136766 dualbound = 3208336.460523, lowerbound=1237736.460523, norm of subgrad 38.140809 stepsize= 1.000000
+dualbound = 3208465.048726, lowerbound=1245455.048726, norm of subgrad 1116.598875 dualbound = 3208465.048726, lowerbound=1245455.048726, norm of subgrad 38.296060 stepsize= 1.000000
+dualbound = 3208512.634776, lowerbound=1235802.634776, norm of subgrad 1112.298357 dualbound = 3208512.634776, lowerbound=1235802.634776, norm of subgrad 38.112807 stepsize= 1.000000
+dualbound = 3208626.909646, lowerbound=1240872.909646, norm of subgrad 1114.536186 dualbound = 3208626.909646, lowerbound=1240872.909646, norm of subgrad 37.845408 stepsize= 1.000000
+dualbound = 3208757.393559, lowerbound=1238402.393559, norm of subgrad 1113.431809 dualbound = 3208757.393559, lowerbound=1238402.393559, norm of subgrad 38.190102 stepsize= 1.000000
+dualbound = 3208853.999652, lowerbound=1239702.999652, norm of subgrad 1114.039945 dualbound = 3208853.999652, lowerbound=1239702.999652, norm of subgrad 38.452647 stepsize= 1.000000
+dualbound = 3208951.629001, lowerbound=1239872.629001, norm of subgrad 1114.090494 dualbound = 3208951.629001, lowerbound=1239872.629001, norm of subgrad 37.717759 stepsize= 1.000000
+dualbound = 3209069.766881, lowerbound=1241642.766881, norm of subgrad 1114.897649 dualbound = 3209069.766881, lowerbound=1241642.766881, norm of subgrad 38.368449 stepsize= 1.000000
+dualbound = 3209178.507708, lowerbound=1239543.507708, norm of subgrad 1113.938287 dualbound = 3209178.507708, lowerbound=1239543.507708, norm of subgrad 37.732490 stepsize= 1.000000
+dualbound = 3209264.251246, lowerbound=1242491.251246, norm of subgrad 1115.259275 dualbound = 3209264.251246, lowerbound=1242491.251246, norm of subgrad 37.386408 stepsize= 1.000000
+dualbound = 3209393.153470, lowerbound=1242507.153470, norm of subgrad 1115.269991 dualbound = 3209393.153470, lowerbound=1242507.153470, norm of subgrad 38.064448 stepsize= 1.000000
+dualbound = 3209465.369245, lowerbound=1242951.369245, norm of subgrad 1115.484814 dualbound = 3209465.369245, lowerbound=1242951.369245, norm of subgrad 37.778509 stepsize= 1.000000
+dualbound = 3209576.539855, lowerbound=1243220.539855, norm of subgrad 1115.607252 dualbound = 3209576.539855, lowerbound=1243220.539855, norm of subgrad 38.342804 stepsize= 1.000000
+dualbound = 3209664.785322, lowerbound=1238280.785322, norm of subgrad 1113.381240 dualbound = 3209664.785322, lowerbound=1238280.785322, norm of subgrad 37.752423 stepsize= 1.000000
+dualbound = 3209801.582469, lowerbound=1243187.582469, norm of subgrad 1115.549453 dualbound = 3209801.582469, lowerbound=1243187.582469, norm of subgrad 37.413863 stepsize= 1.000000
+dualbound = 3209915.067932, lowerbound=1238491.067932, norm of subgrad 1113.460852 dualbound = 3209915.067932, lowerbound=1238491.067932, norm of subgrad 37.649508 stepsize= 1.000000
+dualbound = 3209998.524180, lowerbound=1238392.524180, norm of subgrad 1113.440849 dualbound = 3209998.524180, lowerbound=1238392.524180, norm of subgrad 37.966515 stepsize= 1.000000
+dualbound = 3210070.934052, lowerbound=1241539.934052, norm of subgrad 1114.884269 dualbound = 3210070.934052, lowerbound=1241539.934052, norm of subgrad 38.722214 stepsize= 1.000000
+dualbound = 3210176.526523, lowerbound=1239332.526523, norm of subgrad 1113.844032 dualbound = 3210176.526523, lowerbound=1239332.526523, norm of subgrad 37.704011 stepsize= 1.000000
+dualbound = 3210299.554825, lowerbound=1237609.554825, norm of subgrad 1113.054606 dualbound = 3210299.554825, lowerbound=1237609.554825, norm of subgrad 37.470366 stepsize= 1.000000
+dualbound = 3210419.689844, lowerbound=1243282.689844, norm of subgrad 1115.626143 dualbound = 3210419.689844, lowerbound=1243282.689844, norm of subgrad 38.198626 stepsize= 1.000000
+dualbound = 3210494.896192, lowerbound=1242262.896192, norm of subgrad 1115.158238 dualbound = 3210494.896192, lowerbound=1242262.896192, norm of subgrad 37.285471 stepsize= 1.000000
+dualbound = 3210633.585398, lowerbound=1245874.585398, norm of subgrad 1116.770158 dualbound = 3210633.585398, lowerbound=1245874.585398, norm of subgrad 37.943237 stepsize= 1.000000
+dualbound = 3210696.231228, lowerbound=1242317.231228, norm of subgrad 1115.228331 dualbound = 3210696.231228, lowerbound=1242317.231228, norm of subgrad 38.466165 stepsize= 1.000000
+dualbound = 3210820.153793, lowerbound=1242187.153793, norm of subgrad 1115.110826 dualbound = 3210820.153793, lowerbound=1242187.153793, norm of subgrad 37.535617 stepsize= 1.000000
+dualbound = 3210925.116687, lowerbound=1240654.116687, norm of subgrad 1114.466741 dualbound = 3210925.116687, lowerbound=1240654.116687, norm of subgrad 38.561158 stepsize= 1.000000
+dualbound = 3211035.898776, lowerbound=1240608.898776, norm of subgrad 1114.419086 dualbound = 3211035.898776, lowerbound=1240608.898776, norm of subgrad 37.838897 stepsize= 1.000000
+dualbound = 3211127.273266, lowerbound=1246134.273266, norm of subgrad 1116.891344 dualbound = 3211127.273266, lowerbound=1246134.273266, norm of subgrad 37.461640 stepsize= 1.000000
+dualbound = 3211224.586634, lowerbound=1238364.586634, norm of subgrad 1113.444919 dualbound = 3211224.586634, lowerbound=1238364.586634, norm of subgrad 38.630472 stepsize= 1.000000
+dualbound = 3211336.126162, lowerbound=1241616.126162, norm of subgrad 1114.889737 dualbound = 3211336.126162, lowerbound=1241616.126162, norm of subgrad 38.399733 stepsize= 1.000000
+dualbound = 3211424.681128, lowerbound=1239715.681128, norm of subgrad 1114.039802 dualbound = 3211424.681128, lowerbound=1239715.681128, norm of subgrad 38.177938 stepsize= 1.000000
+dualbound = 3211545.495849, lowerbound=1241909.495849, norm of subgrad 1114.996186 dualbound = 3211545.495849, lowerbound=1241909.495849, norm of subgrad 37.786436 stepsize= 1.000000
+dualbound = 3211668.464067, lowerbound=1232663.464067, norm of subgrad 1110.847183 dualbound = 3211668.464067, lowerbound=1232663.464067, norm of subgrad 37.960087 stepsize= 1.000000
+dualbound = 3211752.885839, lowerbound=1241306.885839, norm of subgrad 1114.733549 dualbound = 3211752.885839, lowerbound=1241306.885839, norm of subgrad 37.528946 stepsize= 1.000000
+dualbound = 3211879.249643, lowerbound=1243044.249643, norm of subgrad 1115.517929 dualbound = 3211879.249643, lowerbound=1243044.249643, norm of subgrad 38.240866 stepsize= 1.000000
+dualbound = 3211947.816968, lowerbound=1241391.816968, norm of subgrad 1114.793172 dualbound = 3211947.816968, lowerbound=1241391.816968, norm of subgrad 37.954806 stepsize= 1.000000
+dualbound = 3212074.902490, lowerbound=1245009.902490, norm of subgrad 1116.385642 dualbound = 3212074.902490, lowerbound=1245009.902490, norm of subgrad 37.869322 stepsize= 1.000000
+dualbound = 3212165.348756, lowerbound=1243608.348756, norm of subgrad 1115.730410 dualbound = 3212165.348756, lowerbound=1243608.348756, norm of subgrad 36.557438 stepsize= 1.000000
+dualbound = 3212316.090466, lowerbound=1241867.090466, norm of subgrad 1114.956094 dualbound = 3212316.090466, lowerbound=1241867.090466, norm of subgrad 37.559842 stepsize= 1.000000
+dualbound = 3212388.910111, lowerbound=1238628.910111, norm of subgrad 1113.545648 dualbound = 3212388.910111, lowerbound=1238628.910111, norm of subgrad 37.786501 stepsize= 1.000000
+dualbound = 3212472.110075, lowerbound=1243740.110075, norm of subgrad 1115.816342 dualbound = 3212472.110075, lowerbound=1243740.110075, norm of subgrad 37.271973 stepsize= 1.000000
+dualbound = 3212583.493818, lowerbound=1242825.493818, norm of subgrad 1115.395219 dualbound = 3212583.493818, lowerbound=1242825.493818, norm of subgrad 37.314659 stepsize= 1.000000
+dualbound = 3212705.497348, lowerbound=1239117.497348, norm of subgrad 1113.761867 dualbound = 3212705.497348, lowerbound=1239117.497348, norm of subgrad 38.340625 stepsize= 1.000000
+dualbound = 3212784.749807, lowerbound=1245348.749807, norm of subgrad 1116.544558 dualbound = 3212784.749807, lowerbound=1245348.749807, norm of subgrad 37.446662 stepsize= 1.000000
+dualbound = 3212908.487275, lowerbound=1239241.487275, norm of subgrad 1113.786554 dualbound = 3212908.487275, lowerbound=1239241.487275, norm of subgrad 37.453137 stepsize= 1.000000
+dualbound = 3213005.171519, lowerbound=1244281.171519, norm of subgrad 1116.068623 dualbound = 3213005.171519, lowerbound=1244281.171519, norm of subgrad 37.744990 stepsize= 1.000000
+dualbound = 3213099.838461, lowerbound=1240361.838461, norm of subgrad 1114.318553 dualbound = 3213099.838461, lowerbound=1240361.838461, norm of subgrad 37.929763 stepsize= 1.000000
+dualbound = 3213199.268332, lowerbound=1239120.268332, norm of subgrad 1113.753684 dualbound = 3213199.268332, lowerbound=1239120.268332, norm of subgrad 37.768107 stepsize= 1.000000
+dualbound = 3213329.435934, lowerbound=1242927.435934, norm of subgrad 1115.463776 dualbound = 3213329.435934, lowerbound=1242927.435934, norm of subgrad 38.238300 stepsize= 1.000000
+dualbound = 3213403.177591, lowerbound=1241228.177591, norm of subgrad 1114.722915 dualbound = 3213403.177591, lowerbound=1241228.177591, norm of subgrad 38.114848 stepsize= 1.000000
+dualbound = 3213520.452883, lowerbound=1236078.452883, norm of subgrad 1112.391771 dualbound = 3213520.452883, lowerbound=1236078.452883, norm of subgrad 38.134962 stepsize= 1.000000
+dualbound = 3213619.708617, lowerbound=1242260.708617, norm of subgrad 1115.178330 dualbound = 3213619.708617, lowerbound=1242260.708617, norm of subgrad 38.226375 stepsize= 1.000000
+dualbound = 3213731.396794, lowerbound=1241520.396794, norm of subgrad 1114.841871 dualbound = 3213731.396794, lowerbound=1241520.396794, norm of subgrad 38.258178 stepsize= 1.000000
+dualbound = 3213826.204255, lowerbound=1241577.204255, norm of subgrad 1114.861518 dualbound = 3213826.204255, lowerbound=1241577.204255, norm of subgrad 37.865650 stepsize= 1.000000
+dualbound = 3213925.244842, lowerbound=1245952.244842, norm of subgrad 1116.827312 dualbound = 3213925.244842, lowerbound=1245952.244842, norm of subgrad 38.079398 stepsize= 1.000000
+dualbound = 3214031.657384, lowerbound=1240590.657384, norm of subgrad 1114.421669 dualbound = 3214031.657384, lowerbound=1240590.657384, norm of subgrad 38.097409 stepsize= 1.000000
+dualbound = 3214159.470291, lowerbound=1241667.470291, norm of subgrad 1114.866122 dualbound = 3214159.470291, lowerbound=1241667.470291, norm of subgrad 37.239937 stepsize= 1.000000
+dualbound = 3214253.915827, lowerbound=1241892.915827, norm of subgrad 1115.005792 dualbound = 3214253.915827, lowerbound=1241892.915827, norm of subgrad 37.940026 stepsize= 1.000000
+dualbound = 3214329.151106, lowerbound=1239914.151106, norm of subgrad 1114.099256 dualbound = 3214329.151106, lowerbound=1239914.151106, norm of subgrad 37.124591 stepsize= 1.000000
+dualbound = 3214438.782210, lowerbound=1243128.782210, norm of subgrad 1115.556266 dualbound = 3214438.782210, lowerbound=1243128.782210, norm of subgrad 38.034604 stepsize= 1.000000
+dualbound = 3214557.829827, lowerbound=1240098.829827, norm of subgrad 1114.157004 dualbound = 3214557.829827, lowerbound=1240098.829827, norm of subgrad 36.960081 stepsize= 1.000000
+dualbound = 3214663.522677, lowerbound=1243207.522677, norm of subgrad 1115.577215 dualbound = 3214663.522677, lowerbound=1243207.522677, norm of subgrad 37.559191 stepsize= 1.000000
+dualbound = 3214758.463081, lowerbound=1244036.463081, norm of subgrad 1115.950027 dualbound = 3214758.463081, lowerbound=1244036.463081, norm of subgrad 37.455846 stepsize= 1.000000
+dualbound = 3214864.209113, lowerbound=1241843.209113, norm of subgrad 1114.970049 dualbound = 3214864.209113, lowerbound=1241843.209113, norm of subgrad 37.692785 stepsize= 1.000000
+dualbound = 3214979.324030, lowerbound=1241299.324030, norm of subgrad 1114.714907 dualbound = 3214979.324030, lowerbound=1241299.324030, norm of subgrad 37.484863 stepsize= 1.000000
+dualbound = 3215074.666712, lowerbound=1241166.666712, norm of subgrad 1114.686354 dualbound = 3215074.666712, lowerbound=1241166.666712, norm of subgrad 38.135845 stepsize= 1.000000
+dualbound = 3215154.694324, lowerbound=1240894.694324, norm of subgrad 1114.577361 dualbound = 3215154.694324, lowerbound=1240894.694324, norm of subgrad 38.314848 stepsize= 1.000000
+dualbound = 3215266.106153, lowerbound=1240282.106153, norm of subgrad 1114.281430 dualbound = 3215266.106153, lowerbound=1240282.106153, norm of subgrad 38.110521 stepsize= 1.000000
+dualbound = 3215369.223551, lowerbound=1240928.223551, norm of subgrad 1114.582533 dualbound = 3215369.223551, lowerbound=1240928.223551, norm of subgrad 38.329067 stepsize= 1.000000
+dualbound = 3215470.849714, lowerbound=1240155.849714, norm of subgrad 1114.200094 dualbound = 3215470.849714, lowerbound=1240155.849714, norm of subgrad 37.250855 stepsize= 1.000000
+dualbound = 3215618.627995, lowerbound=1241879.627995, norm of subgrad 1114.951850 dualbound = 3215618.627995, lowerbound=1241879.627995, norm of subgrad 37.226043 stepsize= 1.000000
+dualbound = 3215701.138654, lowerbound=1244167.138654, norm of subgrad 1116.035008 dualbound = 3215701.138654, lowerbound=1244167.138654, norm of subgrad 38.072440 stepsize= 1.000000
+dualbound = 3215785.778230, lowerbound=1244736.778230, norm of subgrad 1116.254800 dualbound = 3215785.778230, lowerbound=1244736.778230, norm of subgrad 37.049151 stepsize= 1.000000
+dualbound = 3215896.070753, lowerbound=1239521.070753, norm of subgrad 1113.919688 dualbound = 3215896.070753, lowerbound=1239521.070753, norm of subgrad 37.500567 stepsize= 1.000000
+dualbound = 3216003.632583, lowerbound=1234808.632583, norm of subgrad 1111.800177 dualbound = 3216003.632583, lowerbound=1234808.632583, norm of subgrad 37.397351 stepsize= 1.000000
+dualbound = 3216117.524595, lowerbound=1247998.524595, norm of subgrad 1117.723814 dualbound = 3216117.524595, lowerbound=1247998.524595, norm of subgrad 37.707983 stepsize= 1.000000
+dualbound = 3216205.252502, lowerbound=1238771.252502, norm of subgrad 1113.596090 dualbound = 3216205.252502, lowerbound=1238771.252502, norm of subgrad 37.586273 stepsize= 1.000000
+dualbound = 3216288.683037, lowerbound=1242418.683037, norm of subgrad 1115.250054 dualbound = 3216288.683037, lowerbound=1242418.683037, norm of subgrad 38.045112 stepsize= 1.000000
+dualbound = 3216391.498369, lowerbound=1238431.498369, norm of subgrad 1113.474965 dualbound = 3216391.498369, lowerbound=1238431.498369, norm of subgrad 38.701619 stepsize= 1.000000
+dualbound = 3216499.386999, lowerbound=1246317.386999, norm of subgrad 1116.974658 dualbound = 3216499.386999, lowerbound=1246317.386999, norm of subgrad 37.721196 stepsize= 1.000000
+dualbound = 3216627.104550, lowerbound=1235137.104550, norm of subgrad 1111.956881 dualbound = 3216627.104550, lowerbound=1235137.104550, norm of subgrad 37.930430 stepsize= 1.000000
+dualbound = 3216722.394653, lowerbound=1245865.394653, norm of subgrad 1116.786638 dualbound = 3216722.394653, lowerbound=1245865.394653, norm of subgrad 37.977495 stepsize= 1.000000
+dualbound = 3216837.508825, lowerbound=1244066.508825, norm of subgrad 1115.947807 dualbound = 3216837.508825, lowerbound=1244066.508825, norm of subgrad 37.257404 stepsize= 1.000000
+dualbound = 3216911.431221, lowerbound=1240438.431221, norm of subgrad 1114.363689 dualbound = 3216911.431221, lowerbound=1240438.431221, norm of subgrad 37.972653 stepsize= 1.000000
+dualbound = 3217031.019259, lowerbound=1241350.019259, norm of subgrad 1114.805373 dualbound = 3217031.019259, lowerbound=1241350.019259, norm of subgrad 39.504279 stepsize= 1.000000
+dualbound = 3217115.038576, lowerbound=1235416.038576, norm of subgrad 1112.073306 dualbound = 3217115.038576, lowerbound=1235416.038576, norm of subgrad 37.081253 stepsize= 1.000000
+dualbound = 3217269.084273, lowerbound=1239125.084273, norm of subgrad 1113.741031 dualbound = 3217269.084273, lowerbound=1239125.084273, norm of subgrad 38.053196 stepsize= 1.000000
+dualbound = 3217343.838812, lowerbound=1242761.838812, norm of subgrad 1115.419580 dualbound = 3217343.838812, lowerbound=1242761.838812, norm of subgrad 38.389511 stepsize= 1.000000
+dualbound = 3217430.674241, lowerbound=1237785.674241, norm of subgrad 1113.151685 dualbound = 3217430.674241, lowerbound=1237785.674241, norm of subgrad 37.521133 stepsize= 1.000000
+dualbound = 3217556.656774, lowerbound=1245150.656774, norm of subgrad 1116.470625 dualbound = 3217556.656774, lowerbound=1245150.656774, norm of subgrad 38.496526 stepsize= 1.000000
+dualbound = 3217649.047238, lowerbound=1245072.047238, norm of subgrad 1116.422880 dualbound = 3217649.047238, lowerbound=1245072.047238, norm of subgrad 37.688068 stepsize= 1.000000
+dualbound = 3217770.597072, lowerbound=1243763.597072, norm of subgrad 1115.834933 dualbound = 3217770.597072, lowerbound=1243763.597072, norm of subgrad 38.020387 stepsize= 1.000000
+dualbound = 3217859.676571, lowerbound=1242258.676571, norm of subgrad 1115.150966 dualbound = 3217859.676571, lowerbound=1242258.676571, norm of subgrad 37.310582 stepsize= 1.000000
+dualbound = 3217966.061725, lowerbound=1240093.061725, norm of subgrad 1114.179995 dualbound = 3217966.061725, lowerbound=1240093.061725, norm of subgrad 37.555095 stepsize= 1.000000
+dualbound = 3218069.187697, lowerbound=1246660.187697, norm of subgrad 1117.129888 dualbound = 3218069.187697, lowerbound=1246660.187697, norm of subgrad 37.711086 stepsize= 1.000000
+dualbound = 3218177.516084, lowerbound=1238135.516084, norm of subgrad 1113.292197 dualbound = 3218177.516084, lowerbound=1238135.516084, norm of subgrad 37.313917 stepsize= 1.000000
+dualbound = 3218289.588088, lowerbound=1242224.588088, norm of subgrad 1115.160790 dualbound = 3218289.588088, lowerbound=1242224.588088, norm of subgrad 38.354557 stepsize= 1.000000
+dualbound = 3218368.334768, lowerbound=1241997.334768, norm of subgrad 1115.058893 dualbound = 3218368.334768, lowerbound=1241997.334768, norm of subgrad 37.917630 stepsize= 1.000000
+dualbound = 3218480.744943, lowerbound=1245436.744943, norm of subgrad 1116.579037 dualbound = 3218480.744943, lowerbound=1245436.744943, norm of subgrad 37.741359 stepsize= 1.000000
+dualbound = 3218585.309318, lowerbound=1243885.309318, norm of subgrad 1115.887230 dualbound = 3218585.309318, lowerbound=1243885.309318, norm of subgrad 37.730152 stepsize= 1.000000
+dualbound = 3218699.606994, lowerbound=1238146.606994, norm of subgrad 1113.291340 dualbound = 3218699.606994, lowerbound=1238146.606994, norm of subgrad 37.219587 stepsize= 1.000000
+dualbound = 3218802.756995, lowerbound=1240987.756995, norm of subgrad 1114.575146 dualbound = 3218802.756995, lowerbound=1240987.756995, norm of subgrad 37.324925 stepsize= 1.000000
+dualbound = 3218900.238397, lowerbound=1239621.238397, norm of subgrad 1113.956569 dualbound = 3218900.238397, lowerbound=1239621.238397, norm of subgrad 37.087483 stepsize= 1.000000
+dualbound = 3218996.026723, lowerbound=1245622.026723, norm of subgrad 1116.681256 dualbound = 3218996.026723, lowerbound=1245622.026723, norm of subgrad 38.089215 stepsize= 1.000000
+dualbound = 3219091.177579, lowerbound=1243442.177579, norm of subgrad 1115.699412 dualbound = 3219091.177579, lowerbound=1243442.177579, norm of subgrad 37.922959 stepsize= 1.000000
+dualbound = 3219197.058720, lowerbound=1238757.058720, norm of subgrad 1113.624290 dualbound = 3219197.058720, lowerbound=1238757.058720, norm of subgrad 38.831445 stepsize= 1.000000
+dualbound = 3219286.750550, lowerbound=1243592.750550, norm of subgrad 1115.770474 dualbound = 3219286.750550, lowerbound=1243592.750550, norm of subgrad 37.956446 stepsize= 1.000000
+dualbound = 3219390.639036, lowerbound=1237724.639036, norm of subgrad 1113.120227 dualbound = 3219390.639036, lowerbound=1237724.639036, norm of subgrad 37.628294 stepsize= 1.000000
+dualbound = 3219520.042822, lowerbound=1246514.042822, norm of subgrad 1117.065818 dualbound = 3219520.042822, lowerbound=1246514.042822, norm of subgrad 38.097294 stepsize= 1.000000
+dualbound = 3219613.779901, lowerbound=1239826.779901, norm of subgrad 1114.075751 dualbound = 3219613.779901, lowerbound=1239826.779901, norm of subgrad 37.838302 stepsize= 1.000000
+dualbound = 3219705.718210, lowerbound=1242759.718210, norm of subgrad 1115.416388 dualbound = 3219705.718210, lowerbound=1242759.718210, norm of subgrad 38.547870 stepsize= 1.000000
+dualbound = 3219798.641749, lowerbound=1238314.641749, norm of subgrad 1113.426981 dualbound = 3219798.641749, lowerbound=1238314.641749, norm of subgrad 38.703017 stepsize= 1.000000
+dualbound = 3219914.022055, lowerbound=1244369.022055, norm of subgrad 1116.099020 dualbound = 3219914.022055, lowerbound=1244369.022055, norm of subgrad 37.727713 stepsize= 1.000000
+dualbound = 3220014.086723, lowerbound=1240351.086723, norm of subgrad 1114.324947 dualbound = 3220014.086723, lowerbound=1240351.086723, norm of subgrad 38.328379 stepsize= 1.000000
+dualbound = 3220115.430559, lowerbound=1239794.430559, norm of subgrad 1114.038343 dualbound = 3220115.430559, lowerbound=1239794.430559, norm of subgrad 37.260486 stepsize= 1.000000
+dualbound = 3220249.580586, lowerbound=1243846.580586, norm of subgrad 1115.862259 dualbound = 3220249.580586, lowerbound=1243846.580586, norm of subgrad 37.896570 stepsize= 1.000000
+dualbound = 3220345.574832, lowerbound=1243894.574832, norm of subgrad 1115.890037 dualbound = 3220345.574832, lowerbound=1243894.574832, norm of subgrad 37.576512 stepsize= 1.000000
+dualbound = 3220423.202924, lowerbound=1240792.202924, norm of subgrad 1114.496390 dualbound = 3220423.202924, lowerbound=1240792.202924, norm of subgrad 37.250880 stepsize= 1.000000
+dualbound = 3220549.958055, lowerbound=1241396.958055, norm of subgrad 1114.754214 dualbound = 3220549.958055, lowerbound=1241396.958055, norm of subgrad 37.506734 stepsize= 1.000000
+dualbound = 3220668.916149, lowerbound=1246532.916149, norm of subgrad 1117.071133 dualbound = 3220668.916149, lowerbound=1246532.916149, norm of subgrad 37.867639 stepsize= 1.000000
+dualbound = 3220742.364142, lowerbound=1237921.364142, norm of subgrad 1113.213530 dualbound = 3220742.364142, lowerbound=1237921.364142, norm of subgrad 37.369078 stepsize= 1.000000
+dualbound = 3220865.064848, lowerbound=1250419.064848, norm of subgrad 1118.827540 dualbound = 3220865.064848, lowerbound=1250419.064848, norm of subgrad 38.453878 stepsize= 1.000000
+dualbound = 3220950.323512, lowerbound=1238086.323512, norm of subgrad 1113.293907 dualbound = 3220950.323512, lowerbound=1238086.323512, norm of subgrad 37.712845 stepsize= 1.000000
+dualbound = 3221052.043344, lowerbound=1243867.043344, norm of subgrad 1115.902793 dualbound = 3221052.043344, lowerbound=1243867.043344, norm of subgrad 38.389059 stepsize= 1.000000
+dualbound = 3221149.279658, lowerbound=1238111.279658, norm of subgrad 1113.304217 dualbound = 3221149.279658, lowerbound=1238111.279658, norm of subgrad 37.844898 stepsize= 1.000000
+dualbound = 3221277.875227, lowerbound=1245260.875227, norm of subgrad 1116.524015 dualbound = 3221277.875227, lowerbound=1245260.875227, norm of subgrad 38.647064 stepsize= 1.000000
+dualbound = 3221357.695687, lowerbound=1238341.695687, norm of subgrad 1113.400959 dualbound = 3221357.695687, lowerbound=1238341.695687, norm of subgrad 37.414175 stepsize= 1.000000
+dualbound = 3221465.567787, lowerbound=1240593.567787, norm of subgrad 1114.408618 dualbound = 3221465.567787, lowerbound=1240593.567787, norm of subgrad 37.694457 stepsize= 1.000000
+dualbound = 3221571.092433, lowerbound=1243304.092433, norm of subgrad 1115.631253 dualbound = 3221571.092433, lowerbound=1243304.092433, norm of subgrad 37.875119 stepsize= 1.000000
+dualbound = 3221673.576019, lowerbound=1244403.576019, norm of subgrad 1116.117187 dualbound = 3221673.576019, lowerbound=1244403.576019, norm of subgrad 37.636200 stepsize= 1.000000
+dualbound = 3221786.512814, lowerbound=1235636.512814, norm of subgrad 1112.176925 dualbound = 3221786.512814, lowerbound=1235636.512814, norm of subgrad 37.602351 stepsize= 1.000000
+dualbound = 3221881.890274, lowerbound=1246833.890274, norm of subgrad 1117.221952 dualbound = 3221881.890274, lowerbound=1246833.890274, norm of subgrad 38.031270 stepsize= 1.000000
+dualbound = 3221971.750088, lowerbound=1242165.750088, norm of subgrad 1115.126338 dualbound = 3221971.750088, lowerbound=1242165.750088, norm of subgrad 37.826708 stepsize= 1.000000
+dualbound = 3222061.028574, lowerbound=1242721.028574, norm of subgrad 1115.396803 dualbound = 3222061.028574, lowerbound=1242721.028574, norm of subgrad 38.448387 stepsize= 1.000000
+dualbound = 3222177.403226, lowerbound=1244700.403226, norm of subgrad 1116.279715 dualbound = 3222177.403226, lowerbound=1244700.403226, norm of subgrad 38.683002 stepsize= 1.000000
+dualbound = 3222275.751229, lowerbound=1242204.751229, norm of subgrad 1115.162657 dualbound = 3222275.751229, lowerbound=1242204.751229, norm of subgrad 38.488284 stepsize= 1.000000
+dualbound = 3222371.775634, lowerbound=1241890.775634, norm of subgrad 1115.016940 dualbound = 3222371.775634, lowerbound=1241890.775634, norm of subgrad 38.314807 stepsize= 1.000000
+dualbound = 3222480.738268, lowerbound=1240275.738268, norm of subgrad 1114.279919 dualbound = 3222480.738268, lowerbound=1240275.738268, norm of subgrad 38.117747 stepsize= 1.000000
+dualbound = 3222598.672618, lowerbound=1242817.672618, norm of subgrad 1115.411436 dualbound = 3222598.672618, lowerbound=1242817.672618, norm of subgrad 37.985976 stepsize= 1.000000
+dualbound = 3222679.395888, lowerbound=1239662.395888, norm of subgrad 1114.033391 dualbound = 3222679.395888, lowerbound=1239662.395888, norm of subgrad 38.583977 stepsize= 1.000000
+dualbound = 3222788.943492, lowerbound=1245175.943492, norm of subgrad 1116.444779 dualbound = 3222788.943492, lowerbound=1245175.943492, norm of subgrad 37.182625 stepsize= 1.000000
+dualbound = 3222917.943859, lowerbound=1243572.943859, norm of subgrad 1115.745466 dualbound = 3222917.943859, lowerbound=1243572.943859, norm of subgrad 38.000005 stepsize= 1.000000
+dualbound = 3222987.681187, lowerbound=1246859.681187, norm of subgrad 1117.229914 dualbound = 3222987.681187, lowerbound=1246859.681187, norm of subgrad 37.586398 stepsize= 1.000000
+dualbound = 3223099.173519, lowerbound=1242778.173519, norm of subgrad 1115.379385 dualbound = 3223099.173519, lowerbound=1242778.173519, norm of subgrad 37.476557 stepsize= 1.000000
+dualbound = 3223208.271028, lowerbound=1247443.271028, norm of subgrad 1117.491956 dualbound = 3223208.271028, lowerbound=1247443.271028, norm of subgrad 38.132630 stepsize= 1.000000
+dualbound = 3223293.757999, lowerbound=1231038.757999, norm of subgrad 1110.117903 dualbound = 3223293.757999, lowerbound=1231038.757999, norm of subgrad 37.529814 stepsize= 1.000000
+dualbound = 3223413.799746, lowerbound=1244544.799746, norm of subgrad 1116.171492 dualbound = 3223413.799746, lowerbound=1244544.799746, norm of subgrad 37.603746 stepsize= 1.000000
+dualbound = 3223509.238705, lowerbound=1240697.238705, norm of subgrad 1114.483844 dualbound = 3223509.238705, lowerbound=1240697.238705, norm of subgrad 38.372372 stepsize= 1.000000
+dualbound = 3223611.919655, lowerbound=1247669.919655, norm of subgrad 1117.576807 dualbound = 3223611.919655, lowerbound=1247669.919655, norm of subgrad 37.559033 stepsize= 1.000000
+dualbound = 3223727.728327, lowerbound=1244371.728327, norm of subgrad 1116.085896 dualbound = 3223727.728327, lowerbound=1244371.728327, norm of subgrad 37.306952 stepsize= 1.000000
+dualbound = 3223838.462102, lowerbound=1242885.462102, norm of subgrad 1115.410894 dualbound = 3223838.462102, lowerbound=1242885.462102, norm of subgrad 36.969363 stepsize= 1.000000
+dualbound = 3223927.130305, lowerbound=1240722.130305, norm of subgrad 1114.455531 dualbound = 3223927.130305, lowerbound=1240722.130305, norm of subgrad 37.116953 stepsize= 1.000000
+dualbound = 3224032.017802, lowerbound=1241969.017802, norm of subgrad 1115.041263 dualbound = 3224032.017802, lowerbound=1241969.017802, norm of subgrad 38.116761 stepsize= 1.000000
+dualbound = 3224119.030125, lowerbound=1240245.030125, norm of subgrad 1114.271076 dualbound = 3224119.030125, lowerbound=1240245.030125, norm of subgrad 37.973837 stepsize= 1.000000
+dualbound = 3224243.709468, lowerbound=1245997.709468, norm of subgrad 1116.806478 dualbound = 3224243.709468, lowerbound=1245997.709468, norm of subgrad 37.197841 stepsize= 1.000000
+dualbound = 3224356.273654, lowerbound=1240504.273654, norm of subgrad 1114.369451 dualbound = 3224356.273654, lowerbound=1240504.273654, norm of subgrad 37.783120 stepsize= 1.000000
+dualbound = 3224439.156081, lowerbound=1243746.156081, norm of subgrad 1115.823085 dualbound = 3224439.156081, lowerbound=1243746.156081, norm of subgrad 37.388266 stepsize= 1.000000
+dualbound = 3224521.780336, lowerbound=1239607.780336, norm of subgrad 1113.951875 dualbound = 3224521.780336, lowerbound=1239607.780336, norm of subgrad 36.927283 stepsize= 1.000000
+dualbound = 3224650.376102, lowerbound=1248516.376102, norm of subgrad 1117.964389 dualbound = 3224650.376102, lowerbound=1248516.376102, norm of subgrad 38.165374 stepsize= 1.000000
+dualbound = 3224714.647525, lowerbound=1242564.647525, norm of subgrad 1115.324907 dualbound = 3224714.647525, lowerbound=1242564.647525, norm of subgrad 38.069298 stepsize= 1.000000
+dualbound = 3224832.668916, lowerbound=1246132.668916, norm of subgrad 1116.887939 dualbound = 3224832.668916, lowerbound=1246132.668916, norm of subgrad 37.736208 stepsize= 1.000000
+dualbound = 3224926.863125, lowerbound=1242784.863125, norm of subgrad 1115.389108 dualbound = 3224926.863125, lowerbound=1242784.863125, norm of subgrad 37.445884 stepsize= 1.000000
+dualbound = 3225042.031276, lowerbound=1243300.031276, norm of subgrad 1115.632122 dualbound = 3225042.031276, lowerbound=1243300.031276, norm of subgrad 38.081073 stepsize= 1.000000
+dualbound = 3225133.791373, lowerbound=1238421.791373, norm of subgrad 1113.441867 dualbound = 3225133.791373, lowerbound=1238421.791373, norm of subgrad 37.719492 stepsize= 1.000000
+dualbound = 3225256.921654, lowerbound=1249491.921654, norm of subgrad 1118.405079 dualbound = 3225256.921654, lowerbound=1249491.921654, norm of subgrad 38.224734 stepsize= 1.000000
+dualbound = 3225349.921711, lowerbound=1238060.921711, norm of subgrad 1113.253305 dualbound = 3225349.921711, lowerbound=1238060.921711, norm of subgrad 36.945907 stepsize= 1.000000
+dualbound = 3225466.495344, lowerbound=1247185.495344, norm of subgrad 1117.374823 dualbound = 3225466.495344, lowerbound=1247185.495344, norm of subgrad 38.178183 stepsize= 1.000000
+dualbound = 3225549.214510, lowerbound=1235340.214510, norm of subgrad 1112.058099 dualbound = 3225549.214510, lowerbound=1235340.214510, norm of subgrad 37.626044 stepsize= 1.000000
+dualbound = 3225645.063928, lowerbound=1241260.063928, norm of subgrad 1114.715687 dualbound = 3225645.063928, lowerbound=1241260.063928, norm of subgrad 37.773660 stepsize= 1.000000
+dualbound = 3225748.324561, lowerbound=1247469.324561, norm of subgrad 1117.525536 dualbound = 3225748.324561, lowerbound=1247469.324561, norm of subgrad 38.694452 stepsize= 1.000000
+dualbound = 3225839.118577, lowerbound=1244631.118577, norm of subgrad 1116.213742 dualbound = 3225839.118577, lowerbound=1244631.118577, norm of subgrad 37.320156 stepsize= 1.000000
+dualbound = 3225978.211954, lowerbound=1239211.211954, norm of subgrad 1113.802142 dualbound = 3225978.211954, lowerbound=1239211.211954, norm of subgrad 38.510951 stepsize= 1.000000
+dualbound = 3226056.096379, lowerbound=1241236.096379, norm of subgrad 1114.695069 dualbound = 3226056.096379, lowerbound=1241236.096379, norm of subgrad 37.240897 stepsize= 1.000000
+dualbound = 3226178.186859, lowerbound=1245768.186859, norm of subgrad 1116.731923 dualbound = 3226178.186859, lowerbound=1245768.186859, norm of subgrad 38.001191 stepsize= 1.000000
+dualbound = 3226256.623587, lowerbound=1247916.623587, norm of subgrad 1117.676440 dualbound = 3226256.623587, lowerbound=1247916.623587, norm of subgrad 36.911201 stepsize= 1.000000
+dualbound = 3226381.950886, lowerbound=1241704.950886, norm of subgrad 1114.902664 dualbound = 3226381.950886, lowerbound=1241704.950886, norm of subgrad 37.793218 stepsize= 1.000000
+dualbound = 3226472.076164, lowerbound=1244370.076164, norm of subgrad 1116.103972 dualbound = 3226472.076164, lowerbound=1244370.076164, norm of subgrad 37.524995 stepsize= 1.000000
+dualbound = 3226547.318517, lowerbound=1240641.318517, norm of subgrad 1114.460999 dualbound = 3226547.318517, lowerbound=1240641.318517, norm of subgrad 38.173844 stepsize= 1.000000
+dualbound = 3226658.908576, lowerbound=1244306.908576, norm of subgrad 1116.051929 dualbound = 3226658.908576, lowerbound=1244306.908576, norm of subgrad 37.102427 stepsize= 1.000000
+dualbound = 3226795.504388, lowerbound=1241082.504388, norm of subgrad 1114.627518 dualbound = 3226795.504388, lowerbound=1241082.504388, norm of subgrad 38.060423 stepsize= 1.000000
+dualbound = 3226870.935913, lowerbound=1242526.935913, norm of subgrad 1115.262721 dualbound = 3226870.935913, lowerbound=1242526.935913, norm of subgrad 36.870470 stepsize= 1.000000
+dualbound = 3226982.406399, lowerbound=1241722.406399, norm of subgrad 1114.900626 dualbound = 3226982.406399, lowerbound=1241722.406399, norm of subgrad 37.315821 stepsize= 1.000000
+dualbound = 3227089.063689, lowerbound=1244027.063689, norm of subgrad 1115.973146 dualbound = 3227089.063689, lowerbound=1244027.063689, norm of subgrad 38.414285 stepsize= 1.000000
+dualbound = 3227157.673308, lowerbound=1238748.673308, norm of subgrad 1113.581911 dualbound = 3227157.673308, lowerbound=1238748.673308, norm of subgrad 37.210343 stepsize= 1.000000
+dualbound = 3227288.897529, lowerbound=1245759.897529, norm of subgrad 1116.725972 dualbound = 3227288.897529, lowerbound=1245759.897529, norm of subgrad 38.055541 stepsize= 1.000000
+dualbound = 3227402.416359, lowerbound=1241839.416359, norm of subgrad 1114.944580 dualbound = 3227402.416359, lowerbound=1241839.416359, norm of subgrad 37.087988 stepsize= 1.000000
+dualbound = 3227497.627362, lowerbound=1242513.627362, norm of subgrad 1115.254961 dualbound = 3227497.627362, lowerbound=1242513.627362, norm of subgrad 37.083837 stepsize= 1.000000
+dualbound = 3227586.496281, lowerbound=1243378.496281, norm of subgrad 1115.672665 dualbound = 3227586.496281, lowerbound=1243378.496281, norm of subgrad 37.892861 stepsize= 1.000000
+dualbound = 3227652.582249, lowerbound=1247455.582249, norm of subgrad 1117.497912 dualbound = 3227652.582249, lowerbound=1247455.582249, norm of subgrad 37.577732 stepsize= 1.000000
+dualbound = 3227776.571161, lowerbound=1242552.571161, norm of subgrad 1115.321286 dualbound = 3227776.571161, lowerbound=1242552.571161, norm of subgrad 38.897158 stepsize= 1.000000
+dualbound = 3227858.846434, lowerbound=1245566.846434, norm of subgrad 1116.609532 dualbound = 3227858.846434, lowerbound=1245566.846434, norm of subgrad 36.500346 stepsize= 1.000000
+dualbound = 3227979.879653, lowerbound=1239945.879653, norm of subgrad 1114.131446 dualbound = 3227979.879653, lowerbound=1239945.879653, norm of subgrad 38.262687 stepsize= 1.000000
+dualbound = 3228074.269156, lowerbound=1242777.269156, norm of subgrad 1115.393325 dualbound = 3228074.269156, lowerbound=1242777.269156, norm of subgrad 37.674786 stepsize= 1.000000
+dualbound = 3228186.904650, lowerbound=1243586.904650, norm of subgrad 1115.772784 dualbound = 3228186.904650, lowerbound=1243586.904650, norm of subgrad 38.400983 stepsize= 1.000000
+dualbound = 3228272.799852, lowerbound=1244209.799852, norm of subgrad 1116.076969 dualbound = 3228272.799852, lowerbound=1244209.799852, norm of subgrad 38.780088 stepsize= 1.000000
+dualbound = 3228373.435397, lowerbound=1242696.435397, norm of subgrad 1115.366951 dualbound = 3228373.435397, lowerbound=1242696.435397, norm of subgrad 38.047806 stepsize= 1.000000
+dualbound = 3228505.865718, lowerbound=1247619.865717, norm of subgrad 1117.574993 dualbound = 3228505.865718, lowerbound=1247619.865717, norm of subgrad 38.554252 stepsize= 1.000000
+dualbound = 3228587.511896, lowerbound=1239329.511896, norm of subgrad 1113.844474 dualbound = 3228587.511896, lowerbound=1239329.511896, norm of subgrad 37.438565 stepsize= 1.000000
+dualbound = 3228697.543770, lowerbound=1242425.543770, norm of subgrad 1115.250888 dualbound = 3228697.543770, lowerbound=1242425.543770, norm of subgrad 38.327952 stepsize= 1.000000
+dualbound = 3228800.615804, lowerbound=1243907.615804, norm of subgrad 1115.905290 dualbound = 3228800.615804, lowerbound=1243907.615804, norm of subgrad 37.948281 stepsize= 1.000000
+dualbound = 3228898.278538, lowerbound=1244159.278538, norm of subgrad 1116.006397 dualbound = 3228898.278538, lowerbound=1244159.278538, norm of subgrad 37.532156 stepsize= 1.000000
+dualbound = 3228994.734857, lowerbound=1241566.734857, norm of subgrad 1114.856823 dualbound = 3228994.734857, lowerbound=1241566.734857, norm of subgrad 37.887416 stepsize= 1.000000
+dualbound = 3229076.624898, lowerbound=1245117.624898, norm of subgrad 1116.452697 dualbound = 3229076.624898, lowerbound=1245117.624898, norm of subgrad 37.827107 stepsize= 1.000000
+dualbound = 3229215.979138, lowerbound=1243799.979138, norm of subgrad 1115.825694 dualbound = 3229215.979138, lowerbound=1243799.979138, norm of subgrad 37.501390 stepsize= 1.000000
+dualbound = 3229312.398330, lowerbound=1250766.398330, norm of subgrad 1118.994369 dualbound = 3229312.398330, lowerbound=1250766.398330, norm of subgrad 38.450217 stepsize= 1.000000
+dualbound = 3229379.016804, lowerbound=1239259.016804, norm of subgrad 1113.823153 dualbound = 3229379.016804, lowerbound=1239259.016804, norm of subgrad 37.544886 stepsize= 1.000000
+dualbound = 3229494.937449, lowerbound=1243048.937449, norm of subgrad 1115.510617 dualbound = 3229494.937449, lowerbound=1243048.937449, norm of subgrad 37.827512 stepsize= 1.000000
+dualbound = 3229586.201924, lowerbound=1235405.201924, norm of subgrad 1112.095860 dualbound = 3229586.201924, lowerbound=1235405.201924, norm of subgrad 37.990321 stepsize= 1.000000
+dualbound = 3229715.477704, lowerbound=1247109.477704, norm of subgrad 1117.340359 dualbound = 3229715.477704, lowerbound=1247109.477704, norm of subgrad 38.331133 stepsize= 1.000000
+dualbound = 3229817.908522, lowerbound=1240253.908522, norm of subgrad 1114.251277 dualbound = 3229817.908522, lowerbound=1240253.908522, norm of subgrad 37.475736 stepsize= 1.000000
+dualbound = 3229910.311526, lowerbound=1243477.311526, norm of subgrad 1115.703953 dualbound = 3229910.311526, lowerbound=1243477.311526, norm of subgrad 37.555333 stepsize= 1.000000
+dualbound = 3230037.948042, lowerbound=1241663.948042, norm of subgrad 1114.891900 dualbound = 3230037.948042, lowerbound=1241663.948042, norm of subgrad 38.047819 stepsize= 1.000000
+dualbound = 3230129.131100, lowerbound=1244502.131100, norm of subgrad 1116.136699 dualbound = 3230129.131100, lowerbound=1244502.131100, norm of subgrad 36.744837 stepsize= 1.000000
+dualbound = 3230245.467980, lowerbound=1243888.467980, norm of subgrad 1115.863104 dualbound = 3230245.467980, lowerbound=1243888.467980, norm of subgrad 37.125960 stepsize= 1.000000
+dualbound = 3230320.666049, lowerbound=1245234.666049, norm of subgrad 1116.487199 dualbound = 3230320.666049, lowerbound=1245234.666049, norm of subgrad 37.204812 stepsize= 1.000000
+dualbound = 3230440.193766, lowerbound=1239101.193766, norm of subgrad 1113.737489 dualbound = 3230440.193766, lowerbound=1239101.193766, norm of subgrad 37.809096 stepsize= 1.000000
+dualbound = 3230523.742833, lowerbound=1247337.742833, norm of subgrad 1117.424603 dualbound = 3230523.742833, lowerbound=1247337.742833, norm of subgrad 37.196089 stepsize= 1.000000
+dualbound = 3230640.697829, lowerbound=1239194.697829, norm of subgrad 1113.796524 dualbound = 3230640.697829, lowerbound=1239194.697829, norm of subgrad 38.274731 stepsize= 1.000000
+dualbound = 3230735.805895, lowerbound=1244347.805895, norm of subgrad 1116.114602 dualbound = 3230735.805895, lowerbound=1244347.805895, norm of subgrad 38.198273 stepsize= 1.000000
+dualbound = 3230823.821224, lowerbound=1243836.821224, norm of subgrad 1115.890147 dualbound = 3230823.821224, lowerbound=1243836.821224, norm of subgrad 38.236309 stepsize= 1.000000
+dualbound = 3230948.499460, lowerbound=1247099.499460, norm of subgrad 1117.315309 dualbound = 3230948.499460, lowerbound=1247099.499460, norm of subgrad 37.665345 stepsize= 1.000000
+dualbound = 3231044.171802, lowerbound=1239907.171802, norm of subgrad 1114.090289 dualbound = 3231044.171802, lowerbound=1239907.171802, norm of subgrad 37.224620 stepsize= 1.000000
+dualbound = 3231156.757377, lowerbound=1245606.757377, norm of subgrad 1116.669941 dualbound = 3231156.757377, lowerbound=1245606.757377, norm of subgrad 38.178339 stepsize= 1.000000
+dualbound = 3231245.752831, lowerbound=1243479.752831, norm of subgrad 1115.713562 dualbound = 3231245.752831, lowerbound=1243479.752831, norm of subgrad 37.762355 stepsize= 1.000000
+dualbound = 3231331.797344, lowerbound=1241933.797344, norm of subgrad 1114.993631 dualbound = 3231331.797344, lowerbound=1241933.797344, norm of subgrad 36.919433 stepsize= 1.000000
+dualbound = 3231468.304805, lowerbound=1247824.304805, norm of subgrad 1117.663771 dualbound = 3231468.304805, lowerbound=1247824.304805, norm of subgrad 38.529307 stepsize= 1.000000
+dualbound = 3231514.768946, lowerbound=1244919.768946, norm of subgrad 1116.356022 dualbound = 3231514.768946, lowerbound=1244919.768946, norm of subgrad 37.114204 stepsize= 1.000000
+dualbound = 3231682.384388, lowerbound=1240070.384388, norm of subgrad 1114.177896 dualbound = 3231682.384388, lowerbound=1240070.384388, norm of subgrad 38.595537 stepsize= 1.000000
+dualbound = 3231736.197481, lowerbound=1243906.197481, norm of subgrad 1115.932882 dualbound = 3231736.197481, lowerbound=1243906.197481, norm of subgrad 38.128901 stepsize= 1.000000
+dualbound = 3231858.231227, lowerbound=1242579.231227, norm of subgrad 1115.290200 dualbound = 3231858.231227, lowerbound=1242579.231227, norm of subgrad 37.616934 stepsize= 1.000000
+dualbound = 3231959.645831, lowerbound=1243496.645831, norm of subgrad 1115.718892 dualbound = 3231959.645831, lowerbound=1243496.645831, norm of subgrad 37.860462 stepsize= 1.000000
+dualbound = 3232064.182914, lowerbound=1239977.182914, norm of subgrad 1114.141007 dualbound = 3232064.182914, lowerbound=1239977.182914, norm of subgrad 37.914866 stepsize= 1.000000
+dualbound = 3232125.769935, lowerbound=1242448.769935, norm of subgrad 1115.289097 dualbound = 3232125.769935, lowerbound=1242448.769935, norm of subgrad 38.504377 stepsize= 1.000000
+dualbound = 3232247.445992, lowerbound=1242747.445992, norm of subgrad 1115.386232 dualbound = 3232247.445992, lowerbound=1242747.445992, norm of subgrad 38.218792 stepsize= 1.000000
+dualbound = 3232330.747656, lowerbound=1240969.747656, norm of subgrad 1114.604750 dualbound = 3232330.747656, lowerbound=1240969.747656, norm of subgrad 38.174621 stepsize= 1.000000
+dualbound = 3232439.252132, lowerbound=1245260.252132, norm of subgrad 1116.498657 dualbound = 3232439.252132, lowerbound=1245260.252132, norm of subgrad 37.649761 stepsize= 1.000000
+dualbound = 3232553.430256, lowerbound=1242429.430256, norm of subgrad 1115.210935 dualbound = 3232553.430256, lowerbound=1242429.430256, norm of subgrad 37.150749 stepsize= 1.000000
+dualbound = 3232669.692809, lowerbound=1246657.692809, norm of subgrad 1117.112211 dualbound = 3232669.692809, lowerbound=1246657.692809, norm of subgrad 37.393349 stepsize= 1.000000
+dualbound = 3232753.037348, lowerbound=1242113.037348, norm of subgrad 1115.102254 dualbound = 3232753.037348, lowerbound=1242113.037348, norm of subgrad 37.727239 stepsize= 1.000000
+dualbound = 3232848.857269, lowerbound=1248562.857269, norm of subgrad 1117.978022 dualbound = 3232848.857269, lowerbound=1248562.857269, norm of subgrad 37.520926 stepsize= 1.000000
+dualbound = 3232971.571563, lowerbound=1241739.571563, norm of subgrad 1114.890834 dualbound = 3232971.571563, lowerbound=1241739.571563, norm of subgrad 36.942040 stepsize= 1.000000
+dualbound = 3233069.708085, lowerbound=1250855.708085, norm of subgrad 1119.014168 dualbound = 3233069.708085, lowerbound=1250855.708085, norm of subgrad 37.883196 stepsize= 1.000000
+dualbound = 3233156.820165, lowerbound=1240393.820165, norm of subgrad 1114.314058 dualbound = 3233156.820165, lowerbound=1240393.820165, norm of subgrad 37.270794 stepsize= 1.000000
+dualbound = 3233263.575026, lowerbound=1245782.575026, norm of subgrad 1116.749558 dualbound = 3233263.575026, lowerbound=1245782.575026, norm of subgrad 38.128137 stepsize= 1.000000
+dualbound = 3233359.608584, lowerbound=1237379.608584, norm of subgrad 1112.957595 dualbound = 3233359.608584, lowerbound=1237379.608584, norm of subgrad 37.296562 stepsize= 1.000000
+dualbound = 3233469.916543, lowerbound=1244104.916543, norm of subgrad 1115.992794 dualbound = 3233469.916543, lowerbound=1244104.916543, norm of subgrad 38.017206 stepsize= 1.000000
+dualbound = 3233555.334173, lowerbound=1240833.334173, norm of subgrad 1114.534582 dualbound = 3233555.334173, lowerbound=1240833.334173, norm of subgrad 37.939658 stepsize= 1.000000
+dualbound = 3233659.204025, lowerbound=1244308.204025, norm of subgrad 1116.078942 dualbound = 3233659.204025, lowerbound=1244308.204025, norm of subgrad 37.787165 stepsize= 1.000000
+dualbound = 3233765.074318, lowerbound=1243947.074318, norm of subgrad 1115.921177 dualbound = 3233765.074318, lowerbound=1243947.074318, norm of subgrad 37.932444 stepsize= 1.000000
+dualbound = 3233859.922702, lowerbound=1246993.922702, norm of subgrad 1117.278355 dualbound = 3233859.922702, lowerbound=1246993.922702, norm of subgrad 37.574571 stepsize= 1.000000
+dualbound = 3233971.918186, lowerbound=1244629.918186, norm of subgrad 1116.203798 dualbound = 3233971.918186, lowerbound=1244629.918186, norm of subgrad 37.322855 stepsize= 1.000000
+dualbound = 3234088.389967, lowerbound=1245770.389967, norm of subgrad 1116.737834 dualbound = 3234088.389967, lowerbound=1245770.389967, norm of subgrad 38.071929 stepsize= 1.000000
+dualbound = 3234157.226121, lowerbound=1241607.226121, norm of subgrad 1114.880364 dualbound = 3234157.226121, lowerbound=1241607.226121, norm of subgrad 37.680713 stepsize= 1.000000
+dualbound = 3234264.556433, lowerbound=1245565.556433, norm of subgrad 1116.623731 dualbound = 3234264.556433, lowerbound=1245565.556433, norm of subgrad 37.287133 stepsize= 1.000000
+dualbound = 3234391.736763, lowerbound=1244406.736763, norm of subgrad 1116.106060 dualbound = 3234391.736763, lowerbound=1244406.736763, norm of subgrad 37.592291 stepsize= 1.000000
+dualbound = 3234479.389762, lowerbound=1245492.389762, norm of subgrad 1116.586938 dualbound = 3234479.389762, lowerbound=1245492.389762, norm of subgrad 36.900583 stepsize= 1.000000
+dualbound = 3234581.907734, lowerbound=1240010.907734, norm of subgrad 1114.168258 dualbound = 3234581.907734, lowerbound=1240010.907734, norm of subgrad 38.242881 stepsize= 1.000000
+dualbound = 3234669.199615, lowerbound=1246368.199615, norm of subgrad 1117.006356 dualbound = 3234669.199615, lowerbound=1246368.199615, norm of subgrad 37.713285 stepsize= 1.000000
+dualbound = 3234753.015919, lowerbound=1242737.015919, norm of subgrad 1115.366315 dualbound = 3234753.015919, lowerbound=1242737.015919, norm of subgrad 37.266826 stepsize= 1.000000
+dualbound = 3234900.606247, lowerbound=1243933.606247, norm of subgrad 1115.916039 dualbound = 3234900.606247, lowerbound=1243933.606247, norm of subgrad 38.504420 stepsize= 1.000000
+dualbound = 3234968.851512, lowerbound=1240881.851512, norm of subgrad 1114.549170 dualbound = 3234968.851512, lowerbound=1240881.851512, norm of subgrad 37.499937 stepsize= 1.000000
+dualbound = 3235081.462974, lowerbound=1246791.462974, norm of subgrad 1117.173426 dualbound = 3235081.462974, lowerbound=1246791.462974, norm of subgrad 37.384642 stepsize= 1.000000
+dualbound = 3235203.000928, lowerbound=1240880.000928, norm of subgrad 1114.528152 dualbound = 3235203.000928, lowerbound=1240880.000928, norm of subgrad 37.610344 stepsize= 1.000000
+dualbound = 3235283.696512, lowerbound=1241996.696512, norm of subgrad 1115.068472 dualbound = 3235283.696512, lowerbound=1241996.696512, norm of subgrad 38.232128 stepsize= 1.000000
+dualbound = 3235352.129114, lowerbound=1246735.129114, norm of subgrad 1117.191178 dualbound = 3235352.129114, lowerbound=1246735.129114, norm of subgrad 38.071414 stepsize= 1.000000
+dualbound = 3235501.481231, lowerbound=1245073.481231, norm of subgrad 1116.403369 dualbound = 3235501.481231, lowerbound=1245073.481231, norm of subgrad 37.846428 stepsize= 1.000000
+dualbound = 3235566.326262, lowerbound=1240076.326262, norm of subgrad 1114.170241 dualbound = 3235566.326262, lowerbound=1240076.326262, norm of subgrad 36.930273 stepsize= 1.000000
+dualbound = 3235707.867032, lowerbound=1249066.867032, norm of subgrad 1118.193573 dualbound = 3235707.867032, lowerbound=1249066.867032, norm of subgrad 37.835708 stepsize= 1.000000
+dualbound = 3235785.989035, lowerbound=1242872.989035, norm of subgrad 1115.439370 dualbound = 3235785.989035, lowerbound=1242872.989035, norm of subgrad 37.551591 stepsize= 1.000000
+dualbound = 3235874.524668, lowerbound=1248221.524668, norm of subgrad 1117.814620 dualbound = 3235874.524668, lowerbound=1248221.524668, norm of subgrad 37.101693 stepsize= 1.000000
+dualbound = 3235996.417080, lowerbound=1240314.417080, norm of subgrad 1114.274390 dualbound = 3235996.417080, lowerbound=1240314.417080, norm of subgrad 37.615056 stepsize= 1.000000
+dualbound = 3236105.391124, lowerbound=1246425.391124, norm of subgrad 1117.003308 dualbound = 3236105.391124, lowerbound=1246425.391124, norm of subgrad 37.148002 stepsize= 1.000000
+dualbound = 3236210.758562, lowerbound=1241757.758562, norm of subgrad 1114.923207 dualbound = 3236210.758562, lowerbound=1241757.758562, norm of subgrad 37.434843 stepsize= 1.000000
+dualbound = 3236310.290771, lowerbound=1246866.290771, norm of subgrad 1117.223026 dualbound = 3236310.290771, lowerbound=1246866.290771, norm of subgrad 37.689948 stepsize= 1.000000
+dualbound = 3236384.118340, lowerbound=1242680.118340, norm of subgrad 1115.338567 dualbound = 3236384.118340, lowerbound=1242680.118340, norm of subgrad 37.065180 stepsize= 1.000000
+dualbound = 3236506.066972, lowerbound=1248191.066972, norm of subgrad 1117.806364 dualbound = 3236506.066972, lowerbound=1248191.066972, norm of subgrad 37.708734 stepsize= 1.000000
+dualbound = 3236596.836022, lowerbound=1242370.836022, norm of subgrad 1115.212014 dualbound = 3236596.836022, lowerbound=1242370.836022, norm of subgrad 37.653274 stepsize= 1.000000
+dualbound = 3236701.171555, lowerbound=1245934.171555, norm of subgrad 1116.826831 dualbound = 3236701.171555, lowerbound=1245934.171555, norm of subgrad 38.371025 stepsize= 1.000000
+dualbound = 3236765.219995, lowerbound=1240221.219995, norm of subgrad 1114.246032 dualbound = 3236765.219995, lowerbound=1240221.219995, norm of subgrad 37.243099 stepsize= 1.000000
+dualbound = 3236893.101347, lowerbound=1247871.101347, norm of subgrad 1117.698574 dualbound = 3236893.101347, lowerbound=1247871.101347, norm of subgrad 38.818570 stepsize= 1.000000
+dualbound = 3236997.798341, lowerbound=1241371.798341, norm of subgrad 1114.740238 dualbound = 3236997.798341, lowerbound=1241371.798341, norm of subgrad 37.130809 stepsize= 1.000000
+dualbound = 3237105.404496, lowerbound=1248795.404496, norm of subgrad 1118.098119 dualbound = 3237105.404496, lowerbound=1248795.404496, norm of subgrad 38.152407 stepsize= 1.000000
+dualbound = 3237169.303806, lowerbound=1237693.303806, norm of subgrad 1113.149273 dualbound = 3237169.303806, lowerbound=1237693.303806, norm of subgrad 38.365340 stepsize= 1.000000
+dualbound = 3237277.719269, lowerbound=1247075.719269, norm of subgrad 1117.289452 dualbound = 3237277.719269, lowerbound=1247075.719269, norm of subgrad 36.992100 stepsize= 1.000000
+dualbound = 3237399.775629, lowerbound=1238576.775629, norm of subgrad 1113.483173 dualbound = 3237399.775629, lowerbound=1238576.775629, norm of subgrad 37.283460 stepsize= 1.000000
+dualbound = 3237512.537350, lowerbound=1248265.537350, norm of subgrad 1117.837885 dualbound = 3237512.537350, lowerbound=1248265.537350, norm of subgrad 37.533475 stepsize= 1.000000
+dualbound = 3237583.020188, lowerbound=1238930.020188, norm of subgrad 1113.666027 dualbound = 3237583.020188, lowerbound=1238930.020188, norm of subgrad 37.315986 stepsize= 1.000000
+dualbound = 3237700.997339, lowerbound=1244855.997339, norm of subgrad 1116.338657 dualbound = 3237700.997339, lowerbound=1244855.997339, norm of subgrad 38.392410 stepsize= 1.000000
+dualbound = 3237796.281216, lowerbound=1242930.281216, norm of subgrad 1115.455190 dualbound = 3237796.281216, lowerbound=1242930.281216, norm of subgrad 37.487116 stepsize= 1.000000
+dualbound = 3237896.256307, lowerbound=1242333.256307, norm of subgrad 1115.215341 dualbound = 3237896.256307, lowerbound=1242333.256307, norm of subgrad 38.366328 stepsize= 1.000000
+dualbound = 3238007.473457, lowerbound=1244269.473457, norm of subgrad 1116.045014 dualbound = 3238007.473457, lowerbound=1244269.473457, norm of subgrad 37.392742 stepsize= 1.000000
+dualbound = 3238124.690402, lowerbound=1244244.690402, norm of subgrad 1116.056311 dualbound = 3238124.690402, lowerbound=1244244.690402, norm of subgrad 38.134197 stepsize= 1.000000
+dualbound = 3238207.915646, lowerbound=1242591.915646, norm of subgrad 1115.329510 dualbound = 3238207.915646, lowerbound=1242591.915646, norm of subgrad 38.094950 stepsize= 1.000000
+dualbound = 3238295.181898, lowerbound=1245915.181898, norm of subgrad 1116.808928 dualbound = 3238295.181898, lowerbound=1245915.181898, norm of subgrad 37.871708 stepsize= 1.000000
+dualbound = 3238409.057520, lowerbound=1247847.057520, norm of subgrad 1117.651134 dualbound = 3238409.057520, lowerbound=1247847.057520, norm of subgrad 37.561624 stepsize= 1.000000
+dualbound = 3238514.234119, lowerbound=1242507.234119, norm of subgrad 1115.257026 dualbound = 3238514.234119, lowerbound=1242507.234119, norm of subgrad 37.365447 stepsize= 1.000000
+dualbound = 3238600.842031, lowerbound=1246401.842031, norm of subgrad 1116.995901 dualbound = 3238600.842031, lowerbound=1246401.842031, norm of subgrad 36.940600 stepsize= 1.000000
+dualbound = 3238729.029689, lowerbound=1246185.029689, norm of subgrad 1116.904665 dualbound = 3238729.029689, lowerbound=1246185.029689, norm of subgrad 37.672107 stepsize= 1.000000
+dualbound = 3238830.644223, lowerbound=1242907.644223, norm of subgrad 1115.455801 dualbound = 3238830.644223, lowerbound=1242907.644223, norm of subgrad 37.889504 stepsize= 1.000000
+dualbound = 3238887.166575, lowerbound=1242711.166575, norm of subgrad 1115.350692 dualbound = 3238887.166575, lowerbound=1242711.166575, norm of subgrad 36.776655 stepsize= 1.000000
+dualbound = 3239035.323072, lowerbound=1245769.323072, norm of subgrad 1116.696612 dualbound = 3239035.323072, lowerbound=1245769.323072, norm of subgrad 37.284802 stepsize= 1.000000
+dualbound = 3239126.376898, lowerbound=1242505.376898, norm of subgrad 1115.244985 dualbound = 3239126.376898, lowerbound=1242505.376898, norm of subgrad 36.838212 stepsize= 1.000000
+dualbound = 3239216.519587, lowerbound=1247790.519587, norm of subgrad 1117.629867 dualbound = 3239216.519587, lowerbound=1247790.519587, norm of subgrad 37.364993 stepsize= 1.000000
+dualbound = 3239296.370445, lowerbound=1245046.370445, norm of subgrad 1116.410037 dualbound = 3239296.370445, lowerbound=1245046.370445, norm of subgrad 37.481340 stepsize= 1.000000
+dualbound = 3239406.497693, lowerbound=1245302.497693, norm of subgrad 1116.512202 dualbound = 3239406.497693, lowerbound=1245302.497693, norm of subgrad 37.511695 stepsize= 1.000000
+dualbound = 3239537.889432, lowerbound=1244554.889432, norm of subgrad 1116.175116 dualbound = 3239537.889432, lowerbound=1244554.889432, norm of subgrad 37.727864 stepsize= 1.000000
+dualbound = 3239609.775800, lowerbound=1242482.775800, norm of subgrad 1115.260855 dualbound = 3239609.775800, lowerbound=1242482.775800, norm of subgrad 37.361563 stepsize= 1.000000
+dualbound = 3239714.536198, lowerbound=1246880.536198, norm of subgrad 1117.245960 dualbound = 3239714.536198, lowerbound=1246880.536198, norm of subgrad 38.246051 stepsize= 1.000000
+dualbound = 3239795.627789, lowerbound=1246310.627789, norm of subgrad 1116.965366 dualbound = 3239795.627789, lowerbound=1246310.627789, norm of subgrad 37.176492 stepsize= 1.000000
+dualbound = 3239927.003404, lowerbound=1245777.003404, norm of subgrad 1116.723333 dualbound = 3239927.003404, lowerbound=1245777.003404, norm of subgrad 37.754147 stepsize= 1.000000
+dualbound = 3240033.820226, lowerbound=1245189.820226, norm of subgrad 1116.451889 dualbound = 3240033.820226, lowerbound=1245189.820226, norm of subgrad 37.172797 stepsize= 1.000000
+dualbound = 3240126.921050, lowerbound=1242764.921050, norm of subgrad 1115.398100 dualbound = 3240126.921050, lowerbound=1242764.921050, norm of subgrad 37.961834 stepsize= 1.000000
+dualbound = 3240211.810987, lowerbound=1245278.810987, norm of subgrad 1116.504282 dualbound = 3240211.810987, lowerbound=1245278.810987, norm of subgrad 37.254395 stepsize= 1.000000
+dualbound = 3240325.713931, lowerbound=1247280.713931, norm of subgrad 1117.395505 dualbound = 3240325.713931, lowerbound=1247280.713931, norm of subgrad 37.495372 stepsize= 1.000000
+dualbound = 3240430.176417, lowerbound=1239677.176417, norm of subgrad 1114.003670 dualbound = 3240430.176417, lowerbound=1239677.176417, norm of subgrad 37.834673 stepsize= 1.000000
+dualbound = 3240510.888889, lowerbound=1246737.888889, norm of subgrad 1117.165560 dualbound = 3240510.888889, lowerbound=1246737.888889, norm of subgrad 37.439451 stepsize= 1.000000
+dualbound = 3240608.761150, lowerbound=1246185.761150, norm of subgrad 1116.924689 dualbound = 3240608.761150, lowerbound=1246185.761150, norm of subgrad 37.853299 stepsize= 1.000000
+dualbound = 3240713.848548, lowerbound=1247231.848548, norm of subgrad 1117.427782 dualbound = 3240713.848548, lowerbound=1247231.848548, norm of subgrad 38.962641 stepsize= 1.000000
+dualbound = 3240791.173353, lowerbound=1246733.173353, norm of subgrad 1117.192541 dualbound = 3240791.173353, lowerbound=1246733.173353, norm of subgrad 38.253429 stepsize= 1.000000
+dualbound = 3240910.374085, lowerbound=1246498.374085, norm of subgrad 1117.079842 dualbound = 3240910.374085, lowerbound=1246498.374085, norm of subgrad 38.577205 stepsize= 1.000000
+dualbound = 3241009.968787, lowerbound=1243042.968787, norm of subgrad 1115.521837 dualbound = 3241009.968787, lowerbound=1243042.968787, norm of subgrad 38.020977 stepsize= 1.000000
+dualbound = 3241123.101022, lowerbound=1246579.101022, norm of subgrad 1117.103890 dualbound = 3241123.101022, lowerbound=1246579.101022, norm of subgrad 38.146196 stepsize= 1.000000
+dualbound = 3241202.968592, lowerbound=1244649.968592, norm of subgrad 1116.233832 dualbound = 3241202.968592, lowerbound=1244649.968592, norm of subgrad 37.521561 stepsize= 1.000000
+dualbound = 3241312.589838, lowerbound=1243285.589838, norm of subgrad 1115.616686 dualbound = 3241312.589838, lowerbound=1243285.589838, norm of subgrad 37.744155 stepsize= 1.000000
+dualbound = 3241417.506549, lowerbound=1238986.506549, norm of subgrad 1113.688245 dualbound = 3241417.506549, lowerbound=1238986.506549, norm of subgrad 37.681782 stepsize= 1.000000
+dualbound = 3241547.622653, lowerbound=1247315.622653, norm of subgrad 1117.402623 dualbound = 3241547.622653, lowerbound=1247315.622653, norm of subgrad 37.458191 stepsize= 1.000000
+dualbound = 3241614.539969, lowerbound=1242980.539969, norm of subgrad 1115.492062 dualbound = 3241614.539969, lowerbound=1242980.539969, norm of subgrad 37.535547 stepsize= 1.000000
+dualbound = 3241714.021665, lowerbound=1244759.021665, norm of subgrad 1116.275065 dualbound = 3241714.021665, lowerbound=1244759.021665, norm of subgrad 37.556380 stepsize= 1.000000
+dualbound = 3241810.012523, lowerbound=1243422.012523, norm of subgrad 1115.684997 dualbound = 3241810.012523, lowerbound=1243422.012523, norm of subgrad 37.775533 stepsize= 1.000000
+dualbound = 3241906.207401, lowerbound=1246157.207401, norm of subgrad 1116.903849 dualbound = 3241906.207401, lowerbound=1246157.207401, norm of subgrad 37.592484 stepsize= 1.000000
+dualbound = 3242020.050377, lowerbound=1244140.050377, norm of subgrad 1116.010327 dualbound = 3242020.050377, lowerbound=1244140.050377, norm of subgrad 38.116177 stepsize= 1.000000
+dualbound = 3242099.918268, lowerbound=1248517.918268, norm of subgrad 1117.992361 dualbound = 3242099.918268, lowerbound=1248517.918268, norm of subgrad 38.325812 stepsize= 1.000000
+dualbound = 3242205.628309, lowerbound=1242337.628309, norm of subgrad 1115.197574 dualbound = 3242205.628309, lowerbound=1242337.628309, norm of subgrad 37.864364 stepsize= 1.000000
+dualbound = 3242305.378050, lowerbound=1246971.378050, norm of subgrad 1117.290194 dualbound = 3242305.378050, lowerbound=1246971.378050, norm of subgrad 38.285111 stepsize= 1.000000
+dualbound = 3242389.977345, lowerbound=1245611.977345, norm of subgrad 1116.683025 dualbound = 3242389.977345, lowerbound=1245611.977345, norm of subgrad 38.126097 stepsize= 1.000000
+dualbound = 3242516.822077, lowerbound=1246068.822077, norm of subgrad 1116.855775 dualbound = 3242516.822077, lowerbound=1246068.822077, norm of subgrad 37.747116 stepsize= 1.000000
+dualbound = 3242620.069422, lowerbound=1245803.069422, norm of subgrad 1116.739481 dualbound = 3242620.069422, lowerbound=1245803.069422, norm of subgrad 37.513296 stepsize= 1.000000
+dualbound = 3242722.121053, lowerbound=1244785.121053, norm of subgrad 1116.302433 dualbound = 3242722.121053, lowerbound=1244785.121053, norm of subgrad 38.053274 stepsize= 1.000000
+dualbound = 3242814.950063, lowerbound=1246317.950063, norm of subgrad 1116.991920 dualbound = 3242814.950063, lowerbound=1246317.950063, norm of subgrad 38.024058 stepsize= 1.000000
+dualbound = 3242913.903268, lowerbound=1247510.903268, norm of subgrad 1117.511478 dualbound = 3242913.903268, lowerbound=1247510.903268, norm of subgrad 37.682266 stepsize= 1.000000
+dualbound = 3243029.113270, lowerbound=1247446.113270, norm of subgrad 1117.477567 dualbound = 3243029.113270, lowerbound=1247446.113270, norm of subgrad 37.751954 stepsize= 1.000000
+dualbound = 3243115.287852, lowerbound=1243158.287852, norm of subgrad 1115.531393 dualbound = 3243115.287852, lowerbound=1243158.287852, norm of subgrad 36.581069 stepsize= 1.000000
+dualbound = 3243250.787551, lowerbound=1245442.787551, norm of subgrad 1116.566517 dualbound = 3243250.787551, lowerbound=1245442.787551, norm of subgrad 37.596538 stepsize= 1.000000
+dualbound = 3243328.736174, lowerbound=1247926.736174, norm of subgrad 1117.695279 dualbound = 3243328.736174, lowerbound=1247926.736174, norm of subgrad 37.335621 stepsize= 1.000000
+dualbound = 3243434.852574, lowerbound=1246053.852574, norm of subgrad 1116.853103 dualbound = 3243434.852574, lowerbound=1246053.852574, norm of subgrad 37.591441 stepsize= 1.000000
+dualbound = 3243511.937392, lowerbound=1245580.937392, norm of subgrad 1116.671813 dualbound = 3243511.937392, lowerbound=1245580.937392, norm of subgrad 38.106231 stepsize= 1.000000
+dualbound = 3243583.685796, lowerbound=1244847.685796, norm of subgrad 1116.334934 dualbound = 3243583.685796, lowerbound=1244847.685796, norm of subgrad 37.785558 stepsize= 1.000000
+dualbound = 3243717.047291, lowerbound=1245594.047291, norm of subgrad 1116.691563 dualbound = 3243717.047291, lowerbound=1245594.047291, norm of subgrad 39.234698 stepsize= 1.000000
+dualbound = 3243796.126338, lowerbound=1246887.126338, norm of subgrad 1117.229666 dualbound = 3243796.126338, lowerbound=1246887.126338, norm of subgrad 37.337368 stepsize= 1.000000
+dualbound = 3243934.393793, lowerbound=1242860.393793, norm of subgrad 1115.426104 dualbound = 3243934.393793, lowerbound=1242860.393793, norm of subgrad 38.121745 stepsize= 1.000000
+dualbound = 3244007.579893, lowerbound=1246939.579893, norm of subgrad 1117.265671 dualbound = 3244007.579893, lowerbound=1246939.579893, norm of subgrad 37.632248 stepsize= 1.000000
+dualbound = 3244110.458774, lowerbound=1243784.458774, norm of subgrad 1115.859516 dualbound = 3244110.458774, lowerbound=1243784.458774, norm of subgrad 38.221445 stepsize= 1.000000
+dualbound = 3244213.982417, lowerbound=1246682.982417, norm of subgrad 1117.125321 dualbound = 3244213.982417, lowerbound=1246682.982417, norm of subgrad 37.276315 stepsize= 1.000000
+dualbound = 3244324.599297, lowerbound=1243547.599297, norm of subgrad 1115.733660 dualbound = 3244324.599297, lowerbound=1243547.599297, norm of subgrad 37.744097 stepsize= 1.000000
+dualbound = 3244420.972902, lowerbound=1246846.972902, norm of subgrad 1117.185290 dualbound = 3244420.972902, lowerbound=1246846.972902, norm of subgrad 36.774633 stepsize= 1.000000
+dualbound = 3244539.906078, lowerbound=1245658.906078, norm of subgrad 1116.666873 dualbound = 3244539.906078, lowerbound=1245658.906078, norm of subgrad 37.482438 stepsize= 1.000000
+dualbound = 3244628.958646, lowerbound=1246246.958646, norm of subgrad 1116.927016 dualbound = 3244628.958646, lowerbound=1246246.958646, norm of subgrad 36.987195 stepsize= 1.000000
+dualbound = 3244716.676810, lowerbound=1247679.676810, norm of subgrad 1117.603542 dualbound = 3244716.676810, lowerbound=1247679.676810, norm of subgrad 38.022601 stepsize= 1.000000
+dualbound = 3244808.482401, lowerbound=1248900.482401, norm of subgrad 1118.125432 dualbound = 3244808.482401, lowerbound=1248900.482401, norm of subgrad 37.360482 stepsize= 1.000000
+dualbound = 3244916.455900, lowerbound=1245256.455900, norm of subgrad 1116.494718 dualbound = 3244916.455900, lowerbound=1245256.455900, norm of subgrad 37.576236 stepsize= 1.000000
+dualbound = 3245008.665933, lowerbound=1250497.665933, norm of subgrad 1118.872498 dualbound = 3245008.665933, lowerbound=1250497.665933, norm of subgrad 38.343318 stepsize= 1.000000
+dualbound = 3245095.781956, lowerbound=1239987.781956, norm of subgrad 1114.128261 dualbound = 3245095.781956, lowerbound=1239987.781956, norm of subgrad 37.163369 stepsize= 1.000000
+dualbound = 3245229.750330, lowerbound=1249271.750330, norm of subgrad 1118.277582 dualbound = 3245229.750330, lowerbound=1249271.750330, norm of subgrad 37.509577 stepsize= 1.000000
+dualbound = 3245332.514951, lowerbound=1244891.514951, norm of subgrad 1116.344712 dualbound = 3245332.514951, lowerbound=1244891.514951, norm of subgrad 37.904678 stepsize= 1.000000
+dualbound = 3245392.711191, lowerbound=1247145.711191, norm of subgrad 1117.377605 dualbound = 3245392.711191, lowerbound=1247145.711191, norm of subgrad 38.042033 stepsize= 1.000000
+dualbound = 3245508.183866, lowerbound=1251563.183866, norm of subgrad 1119.326665 dualbound = 3245508.183866, lowerbound=1251563.183866, norm of subgrad 38.006219 stepsize= 1.000000
+dualbound = 3245612.425700, lowerbound=1240435.425700, norm of subgrad 1114.371314 dualbound = 3245612.425700, lowerbound=1240435.425700, norm of subgrad 38.629546 stepsize= 1.000000
+dualbound = 3245678.737321, lowerbound=1245018.737321, norm of subgrad 1116.390047 dualbound = 3245678.737321, lowerbound=1245018.737321, norm of subgrad 37.071709 stepsize= 1.000000
+dualbound = 3245815.083546, lowerbound=1243081.083546, norm of subgrad 1115.507993 dualbound = 3245815.083546, lowerbound=1243081.083546, norm of subgrad 37.594497 stepsize= 1.000000
+dualbound = 3245922.111406, lowerbound=1244318.111406, norm of subgrad 1116.098612 dualbound = 3245922.111406, lowerbound=1244318.111406, norm of subgrad 38.275682 stepsize= 1.000000
+dualbound = 3245989.179886, lowerbound=1246491.179886, norm of subgrad 1117.054690 dualbound = 3245989.179886, lowerbound=1246491.179886, norm of subgrad 37.243368 stepsize= 1.000000
+dualbound = 3246128.394412, lowerbound=1249063.394412, norm of subgrad 1118.173240 dualbound = 3246128.394412, lowerbound=1249063.394412, norm of subgrad 37.245329 stepsize= 1.000000
+dualbound = 3246226.265312, lowerbound=1246298.265312, norm of subgrad 1116.959384 dualbound = 3246226.265312, lowerbound=1246298.265312, norm of subgrad 37.388112 stepsize= 1.000000
+dualbound = 3246324.591990, lowerbound=1250149.591990, norm of subgrad 1118.689676 dualbound = 3246324.591990, lowerbound=1250149.591990, norm of subgrad 37.620828 stepsize= 1.000000
+dualbound = 3246391.233787, lowerbound=1243354.233787, norm of subgrad 1115.648347 dualbound = 3246391.233787, lowerbound=1243354.233787, norm of subgrad 37.197336 stepsize= 1.000000
+dualbound = 3246523.748922, lowerbound=1247025.748922, norm of subgrad 1117.293493 dualbound = 3246523.748922, lowerbound=1247025.748922, norm of subgrad 38.098755 stepsize= 1.000000
+dualbound = 3246607.478873, lowerbound=1246597.478873, norm of subgrad 1117.088841 dualbound = 3246607.478873, lowerbound=1246597.478873, norm of subgrad 37.063863 stepsize= 1.000000
+dualbound = 3246711.211973, lowerbound=1243765.211973, norm of subgrad 1115.868815 dualbound = 3246711.211973, lowerbound=1243765.211973, norm of subgrad 38.752201 stepsize= 1.000000
+dualbound = 3246771.082826, lowerbound=1247160.082826, norm of subgrad 1117.365689 dualbound = 3246771.082826, lowerbound=1247160.082826, norm of subgrad 37.494944 stepsize= 1.000000
+dualbound = 3246899.175761, lowerbound=1247192.175761, norm of subgrad 1117.361703 dualbound = 3246899.175761, lowerbound=1247192.175761, norm of subgrad 37.856214 stepsize= 1.000000
+dualbound = 3247014.638875, lowerbound=1245123.638875, norm of subgrad 1116.425384 dualbound = 3247014.638875, lowerbound=1245123.638875, norm of subgrad 37.382658 stepsize= 1.000000
+dualbound = 3247105.641325, lowerbound=1244752.641325, norm of subgrad 1116.275791 dualbound = 3247105.641325, lowerbound=1244752.641325, norm of subgrad 37.549999 stepsize= 1.000000
+dualbound = 3247215.181853, lowerbound=1243922.181853, norm of subgrad 1115.887621 dualbound = 3247215.181853, lowerbound=1243922.181853, norm of subgrad 37.316759 stepsize= 1.000000
+dualbound = 3247319.834048, lowerbound=1246357.834048, norm of subgrad 1117.008878 dualbound = 3247319.834048, lowerbound=1246357.834048, norm of subgrad 38.153010 stepsize= 1.000000
+dualbound = 3247383.448215, lowerbound=1247482.448215, norm of subgrad 1117.512169 dualbound = 3247383.448215, lowerbound=1247482.448215, norm of subgrad 37.611357 stepsize= 1.000000
+dualbound = 3247492.420955, lowerbound=1252222.420955, norm of subgrad 1119.621106 dualbound = 3247492.420955, lowerbound=1252222.420955, norm of subgrad 37.920611 stepsize= 1.000000
+dualbound = 3247600.383525, lowerbound=1244927.383525, norm of subgrad 1116.344205 dualbound = 3247600.383525, lowerbound=1244927.383525, norm of subgrad 37.482830 stepsize= 1.000000
+dualbound = 3247698.499549, lowerbound=1247747.499549, norm of subgrad 1117.631200 dualbound = 3247698.499549, lowerbound=1247747.499549, norm of subgrad 38.080389 stepsize= 1.000000
+dualbound = 3247783.502798, lowerbound=1244197.502798, norm of subgrad 1116.008290 dualbound = 3247783.502798, lowerbound=1244197.502798, norm of subgrad 36.905328 stepsize= 1.000000
+dualbound = 3247915.313395, lowerbound=1254030.313395, norm of subgrad 1120.425059 dualbound = 3247915.313395, lowerbound=1254030.313395, norm of subgrad 38.128868 stepsize= 1.000000
+dualbound = 3247993.725931, lowerbound=1246007.725931, norm of subgrad 1116.837377 dualbound = 3247993.725931, lowerbound=1246007.725931, norm of subgrad 37.368604 stepsize= 1.000000
+dualbound = 3248093.511023, lowerbound=1249198.511023, norm of subgrad 1118.254672 dualbound = 3248093.511023, lowerbound=1249198.511023, norm of subgrad 37.346822 stepsize= 1.000000
+dualbound = 3248196.531403, lowerbound=1245235.531403, norm of subgrad 1116.492065 dualbound = 3248196.531403, lowerbound=1245235.531403, norm of subgrad 37.709686 stepsize= 1.000000
+dualbound = 3248287.489616, lowerbound=1247013.489616, norm of subgrad 1117.278161 dualbound = 3248287.489616, lowerbound=1247013.489616, norm of subgrad 37.255311 stepsize= 1.000000
+dualbound = 3248389.480396, lowerbound=1246344.480396, norm of subgrad 1116.993501 dualbound = 3248389.480396, lowerbound=1246344.480396, norm of subgrad 37.841654 stepsize= 1.000000
+dualbound = 3248479.369490, lowerbound=1249285.369490, norm of subgrad 1118.313628 dualbound = 3248479.369490, lowerbound=1249285.369490, norm of subgrad 37.813874 stepsize= 1.000000
+dualbound = 3248566.263718, lowerbound=1242955.263718, norm of subgrad 1115.473112 dualbound = 3248566.263718, lowerbound=1242955.263718, norm of subgrad 37.575181 stepsize= 1.000000
+dualbound = 3248702.372272, lowerbound=1249216.372272, norm of subgrad 1118.291273 dualbound = 3248702.372272, lowerbound=1249216.372272, norm of subgrad 38.666634 stepsize= 1.000000
+dualbound = 3248756.599354, lowerbound=1245970.599354, norm of subgrad 1116.852989 dualbound = 3248756.599354, lowerbound=1245970.599354, norm of subgrad 38.002988 stepsize= 1.000000
+dualbound = 3248876.546455, lowerbound=1252152.546455, norm of subgrad 1119.576950 dualbound = 3248876.546455, lowerbound=1252152.546455, norm of subgrad 37.682185 stepsize= 1.000000
+dualbound = 3249002.883240, lowerbound=1246686.883240, norm of subgrad 1117.105583 dualbound = 3249002.883240, lowerbound=1246686.883240, norm of subgrad 36.936930 stepsize= 1.000000
+dualbound = 3249083.640897, lowerbound=1253455.640898, norm of subgrad 1120.169916 dualbound = 3249083.640897, lowerbound=1253455.640898, norm of subgrad 37.493435 stepsize= 1.000000
+dualbound = 3249168.310236, lowerbound=1241542.310236, norm of subgrad 1114.832862 dualbound = 3249168.310236, lowerbound=1241542.310236, norm of subgrad 37.345272 stepsize= 1.000000
+dualbound = 3249292.158029, lowerbound=1249696.158029, norm of subgrad 1118.494595 dualbound = 3249292.158029, lowerbound=1249696.158029, norm of subgrad 38.181773 stepsize= 1.000000
+dualbound = 3249356.834297, lowerbound=1246390.834297, norm of subgrad 1117.043345 dualbound = 3249356.834297, lowerbound=1246390.834297, norm of subgrad 38.205710 stepsize= 1.000000
+dualbound = 3249485.492651, lowerbound=1253463.492651, norm of subgrad 1120.173421 dualbound = 3249485.492651, lowerbound=1253463.492651, norm of subgrad 38.126872 stepsize= 1.000000
+dualbound = 3249567.389841, lowerbound=1247023.389841, norm of subgrad 1117.303625 dualbound = 3249567.389841, lowerbound=1247023.389841, norm of subgrad 37.761054 stepsize= 1.000000
+dualbound = 3249669.541070, lowerbound=1246586.541070, norm of subgrad 1117.089317 dualbound = 3249669.541070, lowerbound=1246586.541070, norm of subgrad 37.472006 stepsize= 1.000000
+dualbound = 3249772.801077, lowerbound=1248906.801077, norm of subgrad 1118.140332 dualbound = 3249772.801077, lowerbound=1248906.801077, norm of subgrad 37.871625 stepsize= 1.000000
+dualbound = 3249868.929226, lowerbound=1251242.929226, norm of subgrad 1119.172877 dualbound = 3249868.929226, lowerbound=1251242.929226, norm of subgrad 37.431646 stepsize= 1.000000
+dualbound = 3249984.639309, lowerbound=1248703.639309, norm of subgrad 1118.021753 dualbound = 3249984.639309, lowerbound=1248703.639309, norm of subgrad 37.211693 stepsize= 1.000000
+dualbound = 3250105.073178, lowerbound=1253524.073178, norm of subgrad 1120.168324 dualbound = 3250105.073178, lowerbound=1253524.073178, norm of subgrad 37.059869 stepsize= 1.000000
+dualbound = 3250170.196877, lowerbound=1242678.196877, norm of subgrad 1115.331877 dualbound = 3250170.196877, lowerbound=1242678.196877, norm of subgrad 36.771235 stepsize= 1.000000
+dualbound = 3250259.025907, lowerbound=1250926.025907, norm of subgrad 1119.047821 dualbound = 3250259.025907, lowerbound=1250926.025907, norm of subgrad 37.826301 stepsize= 1.000000
+dualbound = 3250362.232159, lowerbound=1244593.232159, norm of subgrad 1116.194979 dualbound = 3250362.232159, lowerbound=1244593.232159, norm of subgrad 37.432690 stepsize= 1.000000
+dualbound = 3250463.792968, lowerbound=1251209.792968, norm of subgrad 1119.160754 dualbound = 3250463.792968, lowerbound=1251209.792968, norm of subgrad 37.584050 stepsize= 1.000000
+dualbound = 3250557.672700, lowerbound=1248239.672700, norm of subgrad 1117.830342 dualbound = 3250557.672700, lowerbound=1248239.672700, norm of subgrad 37.401601 stepsize= 1.000000
+dualbound = 3250651.533171, lowerbound=1255194.533171, norm of subgrad 1120.956972 dualbound = 3250651.533171, lowerbound=1255194.533171, norm of subgrad 37.998164 stepsize= 1.000000
+dualbound = 3250716.643660, lowerbound=1251967.643660, norm of subgrad 1119.537692 dualbound = 3250716.643660, lowerbound=1251967.643660, norm of subgrad 38.237553 stepsize= 1.000000
+dualbound = 3250826.603479, lowerbound=1249980.603479, norm of subgrad 1118.622190 dualbound = 3250826.603479, lowerbound=1249980.603479, norm of subgrad 38.012627 stepsize= 1.000000
+dualbound = 3250942.359559, lowerbound=1252248.359559, norm of subgrad 1119.613933 dualbound = 3250942.359559, lowerbound=1252248.359559, norm of subgrad 37.453385 stepsize= 1.000000
+dualbound = 3251043.942158, lowerbound=1248960.942158, norm of subgrad 1118.128321 dualbound = 3251043.942158, lowerbound=1248960.942158, norm of subgrad 36.763876 stepsize= 1.000000
+dualbound = 3251142.745055, lowerbound=1249678.745055, norm of subgrad 1118.482340 dualbound = 3251142.745055, lowerbound=1249678.745055, norm of subgrad 37.720060 stepsize= 1.000000
+dualbound = 3251233.288722, lowerbound=1252166.288722, norm of subgrad 1119.577281 dualbound = 3251233.288722, lowerbound=1252166.288722, norm of subgrad 37.115275 stepsize= 1.000000
+dualbound = 3251323.433149, lowerbound=1248892.433149, norm of subgrad 1118.113784 dualbound = 3251323.433149, lowerbound=1248892.433149, norm of subgrad 37.096421 stepsize= 1.000000
+dualbound = 3251447.833486, lowerbound=1251150.833486, norm of subgrad 1119.104925 dualbound = 3251447.833486, lowerbound=1251150.833486, norm of subgrad 37.005410 stepsize= 1.000000
+dualbound = 3251502.220623, lowerbound=1248861.220623, norm of subgrad 1118.119055 dualbound = 3251502.220623, lowerbound=1248861.220623, norm of subgrad 37.193913 stepsize= 1.000000
+dualbound = 3251606.504822, lowerbound=1248687.504822, norm of subgrad 1118.036451 dualbound = 3251606.504822, lowerbound=1248687.504822, norm of subgrad 37.713183 stepsize= 1.000000
+dualbound = 3251739.269924, lowerbound=1251211.269924, norm of subgrad 1119.125225 dualbound = 3251739.269924, lowerbound=1251211.269924, norm of subgrad 36.915648 stepsize= 1.000000
+dualbound = 3251814.246677, lowerbound=1250392.246677, norm of subgrad 1118.774887 dualbound = 3251814.246677, lowerbound=1250392.246677, norm of subgrad 36.605693 stepsize= 1.000000
+dualbound = 3251928.032579, lowerbound=1249189.032579, norm of subgrad 1118.249987 dualbound = 3251928.032579, lowerbound=1249189.032579, norm of subgrad 37.520473 stepsize= 1.000000
+dualbound = 3251993.260973, lowerbound=1247358.260973, norm of subgrad 1117.456156 dualbound = 3251993.260973, lowerbound=1247358.260973, norm of subgrad 37.619521 stepsize= 1.000000
+dualbound = 3252097.660067, lowerbound=1251661.660067, norm of subgrad 1119.350553 dualbound = 3252097.660067, lowerbound=1251661.660067, norm of subgrad 37.261228 stepsize= 1.000000
+dualbound = 3252214.685534, lowerbound=1254309.685534, norm of subgrad 1120.564450 dualbound = 3252214.685534, lowerbound=1254309.685534, norm of subgrad 38.366984 stepsize= 1.000000
+dualbound = 3252273.047332, lowerbound=1247868.047332, norm of subgrad 1117.675734 dualbound = 3252273.047332, lowerbound=1247868.047332, norm of subgrad 37.274144 stepsize= 1.000000
+dualbound = 3252390.940453, lowerbound=1248984.940453, norm of subgrad 1118.190029 dualbound = 3252390.940453, lowerbound=1248984.940453, norm of subgrad 38.495365 stepsize= 1.000000
+dualbound = 3252486.807969, lowerbound=1249856.807969, norm of subgrad 1118.549868 dualbound = 3252486.807969, lowerbound=1249856.807969, norm of subgrad 37.321140 stepsize= 1.000000
+dualbound = 3252615.061709, lowerbound=1253951.061709, norm of subgrad 1120.386122 dualbound = 3252615.061709, lowerbound=1253951.061709, norm of subgrad 37.977016 stepsize= 1.000000
+dualbound = 3252669.968081, lowerbound=1250525.968081, norm of subgrad 1118.853864 dualbound = 3252669.968081, lowerbound=1250525.968081, norm of subgrad 36.917562 stepsize= 1.000000
+dualbound = 3252806.825587, lowerbound=1254220.825587, norm of subgrad 1120.524353 dualbound = 3252806.825587, lowerbound=1254220.825587, norm of subgrad 38.611624 stepsize= 1.000000
+dualbound = 3252860.145177, lowerbound=1246666.145177, norm of subgrad 1117.144192 dualbound = 3252860.145177, lowerbound=1246666.145177, norm of subgrad 37.394112 stepsize= 1.000000
+dualbound = 3252958.831989, lowerbound=1250929.831989, norm of subgrad 1119.077670 dualbound = 3252958.831989, lowerbound=1250929.831989, norm of subgrad 38.777401 stepsize= 1.000000
+dualbound = 3253089.852859, lowerbound=1253753.852859, norm of subgrad 1120.278917 dualbound = 3253089.852859, lowerbound=1253753.852859, norm of subgrad 37.443569 stepsize= 1.000000
+dualbound = 3253180.181856, lowerbound=1249755.181856, norm of subgrad 1118.505781 dualbound = 3253180.181856, lowerbound=1249755.181856, norm of subgrad 37.287116 stepsize= 1.000000
+dualbound = 3253280.391612, lowerbound=1248254.391612, norm of subgrad 1117.831558 dualbound = 3253280.391612, lowerbound=1248254.391612, norm of subgrad 37.325725 stepsize= 1.000000
+dualbound = 3253361.763159, lowerbound=1252468.763159, norm of subgrad 1119.752992 dualbound = 3253361.763159, lowerbound=1252468.763159, norm of subgrad 38.201722 stepsize= 1.000000
+dualbound = 3253438.723069, lowerbound=1246921.723069, norm of subgrad 1117.280056 dualbound = 3253438.723069, lowerbound=1246921.723069, norm of subgrad 38.340056 stepsize= 1.000000
+dualbound = 3253533.412287, lowerbound=1256634.412287, norm of subgrad 1121.616874 dualbound = 3253533.412287, lowerbound=1256634.412287, norm of subgrad 38.531665 stepsize= 1.000000
+dualbound = 3253633.122495, lowerbound=1249527.122495, norm of subgrad 1118.399804 dualbound = 3253633.122495, lowerbound=1249527.122495, norm of subgrad 37.292227 stepsize= 1.000000
+dualbound = 3253769.695935, lowerbound=1249785.695935, norm of subgrad 1118.502434 dualbound = 3253769.695935, lowerbound=1249785.695935, norm of subgrad 37.397506 stepsize= 1.000000
+dualbound = 3253850.356092, lowerbound=1249147.356092, norm of subgrad 1118.203629 dualbound = 3253850.356092, lowerbound=1249147.356092, norm of subgrad 36.230652 stepsize= 1.000000
+dualbound = 3253961.067052, lowerbound=1253764.067052, norm of subgrad 1120.271872 dualbound = 3253961.067052, lowerbound=1253764.067052, norm of subgrad 36.819980 stepsize= 1.000000
+dualbound = 3254022.466743, lowerbound=1250371.466743, norm of subgrad 1118.790627 dualbound = 3254022.466743, lowerbound=1250371.466743, norm of subgrad 37.180636 stepsize= 1.000000
+dualbound = 3254135.570731, lowerbound=1252338.570731, norm of subgrad 1119.655112 dualbound = 3254135.570731, lowerbound=1252338.570731, norm of subgrad 37.444679 stepsize= 1.000000
+dualbound = 3254237.282441, lowerbound=1250407.282441, norm of subgrad 1118.776243 dualbound = 3254237.282441, lowerbound=1250407.282441, norm of subgrad 36.806409 stepsize= 1.000000
+dualbound = 3254352.341814, lowerbound=1251074.341814, norm of subgrad 1119.070302 dualbound = 3254352.341814, lowerbound=1251074.341814, norm of subgrad 36.865422 stepsize= 1.000000
+dualbound = 3254452.653474, lowerbound=1247816.653474, norm of subgrad 1117.628585 dualbound = 3254452.653474, lowerbound=1247816.653474, norm of subgrad 37.112150 stepsize= 1.000000
+dualbound = 3254523.890927, lowerbound=1253160.890927, norm of subgrad 1120.035219 dualbound = 3254523.890927, lowerbound=1253160.890927, norm of subgrad 37.272476 stepsize= 1.000000
+dualbound = 3254611.395623, lowerbound=1253421.395623, norm of subgrad 1120.164897 dualbound = 3254611.395623, lowerbound=1253421.395623, norm of subgrad 37.888055 stepsize= 1.000000
+dualbound = 3254706.001943, lowerbound=1252878.001943, norm of subgrad 1119.921873 dualbound = 3254706.001943, lowerbound=1252878.001943, norm of subgrad 37.968491 stepsize= 1.000000
+dualbound = 3254816.359812, lowerbound=1249509.359812, norm of subgrad 1118.391416 dualbound = 3254816.359812, lowerbound=1249509.359812, norm of subgrad 37.421356 stepsize= 1.000000
+dualbound = 3254914.721863, lowerbound=1249903.721863, norm of subgrad 1118.579779 dualbound = 3254914.721863, lowerbound=1249903.721863, norm of subgrad 37.621298 stepsize= 1.000000
+dualbound = 3254988.995617, lowerbound=1248179.995617, norm of subgrad 1117.832275 dualbound = 3254988.995617, lowerbound=1248179.995617, norm of subgrad 37.990443 stepsize= 1.000000
+dualbound = 3255094.595267, lowerbound=1249732.595267, norm of subgrad 1118.521164 dualbound = 3255094.595267, lowerbound=1249732.595267, norm of subgrad 38.243949 stepsize= 1.000000
+dualbound = 3255182.204738, lowerbound=1251592.204738, norm of subgrad 1119.321761 dualbound = 3255182.204738, lowerbound=1251592.204738, norm of subgrad 37.102688 stepsize= 1.000000
+dualbound = 3255325.829025, lowerbound=1254058.829025, norm of subgrad 1120.428859 dualbound = 3255325.829025, lowerbound=1254058.829025, norm of subgrad 38.021366 stepsize= 1.000000
+dualbound = 3255395.727930, lowerbound=1244716.727931, norm of subgrad 1116.284340 dualbound = 3255395.727930, lowerbound=1244716.727931, norm of subgrad 37.998670 stepsize= 1.000000
+dualbound = 3255477.607797, lowerbound=1249833.607797, norm of subgrad 1118.541286 dualbound = 3255477.607797, lowerbound=1249833.607797, norm of subgrad 37.187093 stepsize= 1.000000
+dualbound = 3255602.435756, lowerbound=1251766.435756, norm of subgrad 1119.415220 dualbound = 3255602.435756, lowerbound=1251766.435756, norm of subgrad 38.063473 stepsize= 1.000000
+dualbound = 3255707.159425, lowerbound=1251535.159425, norm of subgrad 1119.282877 dualbound = 3255707.159425, lowerbound=1251535.159425, norm of subgrad 36.928629 stepsize= 1.000000
+dualbound = 3255776.888075, lowerbound=1252401.888075, norm of subgrad 1119.700803 dualbound = 3255776.888075, lowerbound=1252401.888075, norm of subgrad 37.386209 stepsize= 1.000000
+dualbound = 3255890.106387, lowerbound=1247175.106387, norm of subgrad 1117.345115 dualbound = 3255890.106387, lowerbound=1247175.106387, norm of subgrad 37.392757 stepsize= 1.000000
+dualbound = 3255986.312413, lowerbound=1255444.312413, norm of subgrad 1121.022441 dualbound = 3255986.312413, lowerbound=1255444.312413, norm of subgrad 36.649775 stepsize= 1.000000
+dualbound = 3256078.111046, lowerbound=1247793.111046, norm of subgrad 1117.643553 dualbound = 3256078.111046, lowerbound=1247793.111046, norm of subgrad 37.759749 stepsize= 1.000000
+dualbound = 3256151.653330, lowerbound=1253903.653330, norm of subgrad 1120.366303 dualbound = 3256151.653330, lowerbound=1253903.653330, norm of subgrad 37.289976 stepsize= 1.000000
+dualbound = 3256269.384245, lowerbound=1248517.384245, norm of subgrad 1117.943820 dualbound = 3256269.384245, lowerbound=1248517.384245, norm of subgrad 37.399611 stepsize= 1.000000
+dualbound = 3256367.639766, lowerbound=1251571.639766, norm of subgrad 1119.306767 dualbound = 3256367.639766, lowerbound=1251571.639766, norm of subgrad 37.070953 stepsize= 1.000000
+dualbound = 3256475.813715, lowerbound=1247898.813715, norm of subgrad 1117.676525 dualbound = 3256475.813715, lowerbound=1247898.813715, norm of subgrad 37.552283 stepsize= 1.000000
+dualbound = 3256550.041067, lowerbound=1254324.041067, norm of subgrad 1120.548545 dualbound = 3256550.041067, lowerbound=1254324.041067, norm of subgrad 37.137950 stepsize= 1.000000
+dualbound = 3256667.843475, lowerbound=1248931.843475, norm of subgrad 1118.155107 dualbound = 3256667.843475, lowerbound=1248931.843475, norm of subgrad 38.168081 stepsize= 1.000000
+dualbound = 3256750.863033, lowerbound=1253861.863033, norm of subgrad 1120.335603 dualbound = 3256750.863033, lowerbound=1253861.863033, norm of subgrad 37.054279 stepsize= 1.000000
+dualbound = 3256866.643145, lowerbound=1246694.643145, norm of subgrad 1117.130540 dualbound = 3256866.643145, lowerbound=1246694.643145, norm of subgrad 37.440354 stepsize= 1.000000
+dualbound = 3256962.259214, lowerbound=1253389.259214, norm of subgrad 1120.130912 dualbound = 3256962.259214, lowerbound=1253389.259214, norm of subgrad 37.411443 stepsize= 1.000000
+dualbound = 3257041.111023, lowerbound=1248723.111023, norm of subgrad 1118.051480 dualbound = 3257041.111023, lowerbound=1248723.111023, norm of subgrad 37.347715 stepsize= 1.000000
+dualbound = 3257140.956664, lowerbound=1254270.956664, norm of subgrad 1120.489606 dualbound = 3257140.956664, lowerbound=1254270.956664, norm of subgrad 36.412163 stepsize= 1.000000
+dualbound = 3257270.523885, lowerbound=1250568.523885, norm of subgrad 1118.868412 dualbound = 3257270.523885, lowerbound=1250568.523885, norm of subgrad 37.783161 stepsize= 1.000000
+dualbound = 3257332.455739, lowerbound=1252495.455739, norm of subgrad 1119.711327 dualbound = 3257332.455739, lowerbound=1252495.455739, norm of subgrad 36.330866 stepsize= 1.000000
+dualbound = 3257468.867064, lowerbound=1250159.867064, norm of subgrad 1118.675497 dualbound = 3257468.867064, lowerbound=1250159.867064, norm of subgrad 37.568755 stepsize= 1.000000
+dualbound = 3257538.072152, lowerbound=1252306.072152, norm of subgrad 1119.660249 dualbound = 3257538.072152, lowerbound=1252306.072152, norm of subgrad 37.446029 stepsize= 1.000000
+dualbound = 3257634.898562, lowerbound=1251001.898562, norm of subgrad 1119.070998 dualbound = 3257634.898562, lowerbound=1251001.898562, norm of subgrad 37.614178 stepsize= 1.000000
+dualbound = 3257710.124971, lowerbound=1251845.124971, norm of subgrad 1119.473146 dualbound = 3257710.124971, lowerbound=1251845.124971, norm of subgrad 38.081838 stepsize= 1.000000
+dualbound = 3257796.456544, lowerbound=1251747.456544, norm of subgrad 1119.419696 dualbound = 3257796.456544, lowerbound=1251747.456544, norm of subgrad 37.938524 stepsize= 1.000000
+dualbound = 3257925.802091, lowerbound=1249946.802091, norm of subgrad 1118.580262 dualbound = 3257925.802091, lowerbound=1249946.802091, norm of subgrad 37.474599 stepsize= 1.000000
+dualbound = 3258023.422742, lowerbound=1250844.422742, norm of subgrad 1119.009125 dualbound = 3258023.422742, lowerbound=1250844.422742, norm of subgrad 37.876386 stepsize= 1.000000
+dualbound = 3258121.587082, lowerbound=1251387.587082, norm of subgrad 1119.225887 dualbound = 3258121.587082, lowerbound=1251387.587082, norm of subgrad 37.110165 stepsize= 1.000000
+dualbound = 3258235.470948, lowerbound=1248928.470948, norm of subgrad 1118.128110 dualbound = 3258235.470948, lowerbound=1248928.470948, norm of subgrad 37.361529 stepsize= 1.000000
+dualbound = 3258314.114999, lowerbound=1252847.114999, norm of subgrad 1119.886206 dualbound = 3258314.114999, lowerbound=1252847.114999, norm of subgrad 37.103154 stepsize= 1.000000
+dualbound = 3258420.067042, lowerbound=1251273.067042, norm of subgrad 1119.180534 dualbound = 3258420.067042, lowerbound=1251273.067042, norm of subgrad 37.389197 stepsize= 1.000000
+dualbound = 3258496.287299, lowerbound=1253656.287299, norm of subgrad 1120.260812 dualbound = 3258496.287299, lowerbound=1253656.287299, norm of subgrad 37.472927 stepsize= 1.000000
+dualbound = 3258599.820096, lowerbound=1250313.820096, norm of subgrad 1118.776484 dualbound = 3258599.820096, lowerbound=1250313.820096, norm of subgrad 38.085861 stepsize= 1.000000
+dualbound = 3258665.374168, lowerbound=1251522.374168, norm of subgrad 1119.341491 dualbound = 3258665.374168, lowerbound=1251522.374168, norm of subgrad 38.321718 stepsize= 1.000000
+dualbound = 3258768.929865, lowerbound=1247587.929865, norm of subgrad 1117.573680 dualbound = 3258768.929865, lowerbound=1247587.929865, norm of subgrad 38.555878 stepsize= 1.000000
+dualbound = 3258886.876660, lowerbound=1252333.876660, norm of subgrad 1119.692760 dualbound = 3258886.876660, lowerbound=1252333.876660, norm of subgrad 38.677471 stepsize= 1.000000
+dualbound = 3258956.743856, lowerbound=1251196.743856, norm of subgrad 1119.162966 dualbound = 3258956.743856, lowerbound=1251196.743856, norm of subgrad 37.401433 stepsize= 1.000000
+dualbound = 3259086.682494, lowerbound=1252075.682494, norm of subgrad 1119.518951 dualbound = 3259086.682494, lowerbound=1252075.682494, norm of subgrad 37.107124 stepsize= 1.000000
+dualbound = 3259180.936273, lowerbound=1250971.936273, norm of subgrad 1119.047781 dualbound = 3259180.936273, lowerbound=1250971.936273, norm of subgrad 37.286107 stepsize= 1.000000
+dualbound = 3259260.032414, lowerbound=1255492.032414, norm of subgrad 1121.079851 dualbound = 3259260.032414, lowerbound=1255492.032414, norm of subgrad 37.511280 stepsize= 1.000000
+dualbound = 3259375.183137, lowerbound=1250765.183137, norm of subgrad 1118.944674 dualbound = 3259375.183137, lowerbound=1250765.183137, norm of subgrad 37.244472 stepsize= 1.000000
+dualbound = 3259479.682482, lowerbound=1252297.682482, norm of subgrad 1119.614524 dualbound = 3259479.682482, lowerbound=1252297.682482, norm of subgrad 36.653777 stepsize= 1.000000
+dualbound = 3259555.704167, lowerbound=1243935.704167, norm of subgrad 1115.894576 dualbound = 3259555.704167, lowerbound=1243935.704167, norm of subgrad 36.892027 stepsize= 1.000000
+dualbound = 3259678.631501, lowerbound=1252931.631501, norm of subgrad 1119.930637 dualbound = 3259678.631501, lowerbound=1252931.631501, norm of subgrad 37.893632 stepsize= 1.000000
+dualbound = 3259749.134490, lowerbound=1246358.134490, norm of subgrad 1116.983498 dualbound = 3259749.134490, lowerbound=1246358.134490, norm of subgrad 36.939180 stepsize= 1.000000
+dualbound = 3259840.190207, lowerbound=1255357.190207, norm of subgrad 1120.983582 dualbound = 3259840.190207, lowerbound=1255357.190207, norm of subgrad 36.579444 stepsize= 1.000000
+dualbound = 3259938.700820, lowerbound=1251713.700820, norm of subgrad 1119.401046 dualbound = 3259938.700820, lowerbound=1251713.700820, norm of subgrad 37.993560 stepsize= 1.000000
+dualbound = 3260040.197366, lowerbound=1255055.197366, norm of subgrad 1120.879653 dualbound = 3260040.197366, lowerbound=1255055.197366, norm of subgrad 37.649655 stepsize= 1.000000
+dualbound = 3260141.134623, lowerbound=1245360.134623, norm of subgrad 1116.555478 dualbound = 3260141.134623, lowerbound=1245360.134623, norm of subgrad 37.906955 stepsize= 1.000000
+dualbound = 3260221.191984, lowerbound=1256257.191984, norm of subgrad 1121.427301 dualbound = 3260221.191984, lowerbound=1256257.191984, norm of subgrad 37.710176 stepsize= 1.000000
+dualbound = 3260334.240039, lowerbound=1250181.240039, norm of subgrad 1118.696670 dualbound = 3260334.240039, lowerbound=1250181.240039, norm of subgrad 37.603830 stepsize= 1.000000
+dualbound = 3260447.011684, lowerbound=1254374.011684, norm of subgrad 1120.578427 dualbound = 3260447.011684, lowerbound=1254374.011684, norm of subgrad 37.878380 stepsize= 1.000000
+dualbound = 3260532.788387, lowerbound=1248767.788387, norm of subgrad 1118.074143 dualbound = 3260532.788387, lowerbound=1248767.788387, norm of subgrad 37.520351 stepsize= 1.000000
+dualbound = 3260610.498064, lowerbound=1251113.498064, norm of subgrad 1119.143645 dualbound = 3260610.498064, lowerbound=1251113.498064, norm of subgrad 38.035637 stepsize= 1.000000
+dualbound = 3260704.854471, lowerbound=1249197.854471, norm of subgrad 1118.274499 dualbound = 3260704.854471, lowerbound=1249197.854471, norm of subgrad 37.872898 stepsize= 1.000000
+dualbound = 3260811.498761, lowerbound=1253384.498761, norm of subgrad 1120.122537 dualbound = 3260811.498761, lowerbound=1253384.498761, norm of subgrad 37.371704 stepsize= 1.000000
+dualbound = 3260933.916289, lowerbound=1255509.916289, norm of subgrad 1121.083813 dualbound = 3260933.916289, lowerbound=1255509.916289, norm of subgrad 37.966005 stepsize= 1.000000
+dualbound = 3261020.896293, lowerbound=1247375.896293, norm of subgrad 1117.418854 dualbound = 3261020.896293, lowerbound=1247375.896293, norm of subgrad 36.551060 stepsize= 1.000000
+dualbound = 3261095.528448, lowerbound=1251013.528448, norm of subgrad 1119.062343 dualbound = 3261095.528448, lowerbound=1251013.528448, norm of subgrad 36.900300 stepsize= 1.000000
+dualbound = 3261213.335766, lowerbound=1251318.335766, norm of subgrad 1119.201651 dualbound = 3261213.335766, lowerbound=1251318.335766, norm of subgrad 37.574025 stepsize= 1.000000
+dualbound = 3261318.629760, lowerbound=1255130.629760, norm of subgrad 1120.882523 dualbound = 3261318.629760, lowerbound=1255130.629760, norm of subgrad 36.773550 stepsize= 1.000000
+dualbound = 3261398.975964, lowerbound=1247672.975964, norm of subgrad 1117.576832 dualbound = 3261398.975964, lowerbound=1247672.975964, norm of subgrad 37.220239 stepsize= 1.000000
+dualbound = 3261482.174704, lowerbound=1249921.174704, norm of subgrad 1118.559866 dualbound = 3261482.174704, lowerbound=1249921.174704, norm of subgrad 36.581399 stepsize= 1.000000
+dualbound = 3261584.957112, lowerbound=1251812.957112, norm of subgrad 1119.433766 dualbound = 3261584.957112, lowerbound=1251812.957112, norm of subgrad 37.706530 stepsize= 1.000000
+dualbound = 3261674.533831, lowerbound=1251573.533831, norm of subgrad 1119.321015 dualbound = 3261674.533831, lowerbound=1251573.533831, norm of subgrad 37.357419 stepsize= 1.000000
+dualbound = 3261781.238130, lowerbound=1245075.238130, norm of subgrad 1116.417591 dualbound = 3261781.238130, lowerbound=1245075.238130, norm of subgrad 37.678964 stepsize= 1.000000
+dualbound = 3261883.930358, lowerbound=1251393.930358, norm of subgrad 1119.231402 dualbound = 3261883.930358, lowerbound=1251393.930358, norm of subgrad 37.251741 stepsize= 1.000000
+dualbound = 3261970.349444, lowerbound=1248321.349444, norm of subgrad 1117.853903 dualbound = 3261970.349444, lowerbound=1248321.349444, norm of subgrad 36.910962 stepsize= 1.000000
+dualbound = 3262088.129691, lowerbound=1254516.129691, norm of subgrad 1120.642731 dualbound = 3262088.129691, lowerbound=1254516.129691, norm of subgrad 37.970781 stepsize= 1.000000
+dualbound = 3262137.462100, lowerbound=1255103.462100, norm of subgrad 1120.910550 dualbound = 3262137.462100, lowerbound=1255103.462100, norm of subgrad 37.233485 stepsize= 1.000000
+dualbound = 3262244.633916, lowerbound=1252880.633916, norm of subgrad 1119.898939 dualbound = 3262244.633916, lowerbound=1252880.633916, norm of subgrad 37.418870 stepsize= 1.000000
+dualbound = 3262361.910195, lowerbound=1249373.910195, norm of subgrad 1118.325494 dualbound = 3262361.910195, lowerbound=1249373.910195, norm of subgrad 37.353397 stepsize= 1.000000
+dualbound = 3262449.305303, lowerbound=1251831.305303, norm of subgrad 1119.408909 dualbound = 3262449.305303, lowerbound=1251831.305303, norm of subgrad 36.501988 stepsize= 1.000000
+dualbound = 3262571.934698, lowerbound=1253603.934698, norm of subgrad 1120.199953 dualbound = 3262571.934698, lowerbound=1253603.934698, norm of subgrad 36.967951 stepsize= 1.000000
+dualbound = 3262650.106211, lowerbound=1252692.106211, norm of subgrad 1119.806727 dualbound = 3262650.106211, lowerbound=1252692.106211, norm of subgrad 36.785480 stepsize= 1.000000
+dualbound = 3262748.034122, lowerbound=1252048.034122, norm of subgrad 1119.513749 dualbound = 3262748.034122, lowerbound=1252048.034122, norm of subgrad 36.890756 stepsize= 1.000000
+dualbound = 3262856.713810, lowerbound=1250524.713810, norm of subgrad 1118.835427 dualbound = 3262856.713810, lowerbound=1250524.713810, norm of subgrad 37.103634 stepsize= 1.000000
+dualbound = 3262941.417957, lowerbound=1249921.417957, norm of subgrad 1118.555952 dualbound = 3262941.417957, lowerbound=1249921.417957, norm of subgrad 36.478818 stepsize= 1.000000
+dualbound = 3263029.624296, lowerbound=1252651.624296, norm of subgrad 1119.823479 dualbound = 3263029.624296, lowerbound=1252651.624296, norm of subgrad 37.963224 stepsize= 1.000000
+dualbound = 3263100.951785, lowerbound=1251035.951785, norm of subgrad 1119.092915 dualbound = 3263100.951785, lowerbound=1251035.951785, norm of subgrad 37.474358 stepsize= 1.000000
+dualbound = 3263224.841798, lowerbound=1251081.841798, norm of subgrad 1119.083930 dualbound = 3263224.841798, lowerbound=1251081.841798, norm of subgrad 37.294638 stepsize= 1.000000
+dualbound = 3263312.413276, lowerbound=1248932.413276, norm of subgrad 1118.141500 dualbound = 3263312.413276, lowerbound=1248932.413276, norm of subgrad 37.357348 stepsize= 1.000000
+dualbound = 3263414.097550, lowerbound=1249385.097550, norm of subgrad 1118.335861 dualbound = 3263414.097550, lowerbound=1249385.097550, norm of subgrad 37.305285 stepsize= 1.000000
+dualbound = 3263516.132247, lowerbound=1250875.132247, norm of subgrad 1119.027315 dualbound = 3263516.132247, lowerbound=1250875.132247, norm of subgrad 38.066188 stepsize= 1.000000
+dualbound = 3263608.958867, lowerbound=1254459.958867, norm of subgrad 1120.586435 dualbound = 3263608.958867, lowerbound=1254459.958867, norm of subgrad 36.699136 stepsize= 1.000000
+dualbound = 3263697.943110, lowerbound=1250167.943110, norm of subgrad 1118.690280 dualbound = 3263697.943110, lowerbound=1250167.943110, norm of subgrad 37.269079 stepsize= 1.000000
+dualbound = 3263795.814676, lowerbound=1251528.814676, norm of subgrad 1119.313099 dualbound = 3263795.814676, lowerbound=1251528.814676, norm of subgrad 37.826863 stepsize= 1.000000
+dualbound = 3263870.948012, lowerbound=1254877.948012, norm of subgrad 1120.832703 dualbound = 3263870.948012, lowerbound=1254877.948012, norm of subgrad 38.250926 stepsize= 1.000000
+dualbound = 3263971.341493, lowerbound=1250399.341493, norm of subgrad 1118.808000 dualbound = 3263971.341493, lowerbound=1250399.341493, norm of subgrad 37.846975 stepsize= 1.000000
+dualbound = 3264067.098547, lowerbound=1252665.098547, norm of subgrad 1119.825477 dualbound = 3264067.098547, lowerbound=1252665.098547, norm of subgrad 37.944131 stepsize= 1.000000
+dualbound = 3264170.066250, lowerbound=1250456.066250, norm of subgrad 1118.804749 dualbound = 3264170.066250, lowerbound=1250456.066250, norm of subgrad 37.026581 stepsize= 1.000000
+dualbound = 3264275.272676, lowerbound=1250765.272676, norm of subgrad 1118.945161 dualbound = 3264275.272676, lowerbound=1250765.272676, norm of subgrad 37.124203 stepsize= 1.000000
+dualbound = 3264375.572105, lowerbound=1256644.572105, norm of subgrad 1121.560329 dualbound = 3264375.572105, lowerbound=1256644.572105, norm of subgrad 36.787218 stepsize= 1.000000
+dualbound = 3264462.454854, lowerbound=1251451.454854, norm of subgrad 1119.244144 dualbound = 3264462.454854, lowerbound=1251451.454854, norm of subgrad 36.645365 stepsize= 1.000000
+dualbound = 3264555.890772, lowerbound=1256590.890772, norm of subgrad 1121.556905 dualbound = 3264555.890772, lowerbound=1256590.890772, norm of subgrad 37.315358 stepsize= 1.000000
+dualbound = 3264672.531790, lowerbound=1247124.531790, norm of subgrad 1117.305031 dualbound = 3264672.531790, lowerbound=1247124.531790, norm of subgrad 36.913968 stepsize= 1.000000
+dualbound = 3264747.930303, lowerbound=1253652.930303, norm of subgrad 1120.240122 dualbound = 3264747.930303, lowerbound=1253652.930303, norm of subgrad 36.883581 stepsize= 1.000000
+dualbound = 3264850.927408, lowerbound=1255448.927408, norm of subgrad 1121.024945 dualbound = 3264850.927408, lowerbound=1255448.927408, norm of subgrad 36.755913 stepsize= 1.000000
+dualbound = 3264936.467578, lowerbound=1255587.467578, norm of subgrad 1121.092087 dualbound = 3264936.467578, lowerbound=1255587.467578, norm of subgrad 36.681605 stepsize= 1.000000
+dualbound = 3265030.871110, lowerbound=1250072.871110, norm of subgrad 1118.655832 dualbound = 3265030.871110, lowerbound=1250072.871110, norm of subgrad 37.581958 stepsize= 1.000000
+dualbound = 3265131.021935, lowerbound=1256740.021935, norm of subgrad 1121.636314 dualbound = 3265131.021935, lowerbound=1256740.021935, norm of subgrad 37.790883 stepsize= 1.000000
+dualbound = 3265214.478506, lowerbound=1247765.478506, norm of subgrad 1117.598979 dualbound = 3265214.478506, lowerbound=1247765.478506, norm of subgrad 36.680466 stepsize= 1.000000
+dualbound = 3265334.138107, lowerbound=1254490.138107, norm of subgrad 1120.601240 dualbound = 3265334.138107, lowerbound=1254490.138107, norm of subgrad 37.103364 stepsize= 1.000000
+dualbound = 3265430.033410, lowerbound=1250883.033410, norm of subgrad 1118.987951 dualbound = 3265430.033410, lowerbound=1250883.033410, norm of subgrad 36.700072 stepsize= 1.000000
+dualbound = 3265517.277392, lowerbound=1255955.277392, norm of subgrad 1121.266372 dualbound = 3265517.277392, lowerbound=1255955.277392, norm of subgrad 37.016807 stepsize= 1.000000
+dualbound = 3265610.991241, lowerbound=1250872.991241, norm of subgrad 1118.983463 dualbound = 3265610.991241, lowerbound=1250872.991241, norm of subgrad 36.670340 stepsize= 1.000000
+dualbound = 3265705.673203, lowerbound=1251422.673203, norm of subgrad 1119.247369 dualbound = 3265705.673203, lowerbound=1251422.673203, norm of subgrad 37.238179 stepsize= 1.000000
+dualbound = 3265797.455557, lowerbound=1246801.455557, norm of subgrad 1117.185506 dualbound = 3265797.455557, lowerbound=1246801.455557, norm of subgrad 37.333395 stepsize= 1.000000
+dualbound = 3265907.585243, lowerbound=1255494.585243, norm of subgrad 1121.091248 dualbound = 3265907.585243, lowerbound=1255494.585243, norm of subgrad 38.224726 stepsize= 1.000000
+dualbound = 3265966.404998, lowerbound=1254269.404998, norm of subgrad 1120.536213 dualbound = 3265966.404998, lowerbound=1254269.404998, norm of subgrad 37.293696 stepsize= 1.000000
+dualbound = 3266064.314087, lowerbound=1256716.314087, norm of subgrad 1121.654276 dualbound = 3266064.314087, lowerbound=1256716.314087, norm of subgrad 38.599341 stepsize= 1.000000
+dualbound = 3266153.512960, lowerbound=1252035.512960, norm of subgrad 1119.549245 dualbound = 3266153.512960, lowerbound=1252035.512960, norm of subgrad 38.002617 stepsize= 1.000000
+dualbound = 3266258.707549, lowerbound=1255259.707549, norm of subgrad 1120.965971 dualbound = 3266258.707549, lowerbound=1255259.707549, norm of subgrad 37.552558 stepsize= 1.000000
+dualbound = 3266358.619629, lowerbound=1251893.619629, norm of subgrad 1119.435402 dualbound = 3266358.619629, lowerbound=1251893.619629, norm of subgrad 36.632118 stepsize= 1.000000
+dualbound = 3266483.233031, lowerbound=1252023.233031, norm of subgrad 1119.503565 dualbound = 3266483.233031, lowerbound=1252023.233031, norm of subgrad 37.277519 stepsize= 1.000000
+dualbound = 3266551.603358, lowerbound=1250086.603358, norm of subgrad 1118.639175 dualbound = 3266551.603358, lowerbound=1250086.603358, norm of subgrad 36.542719 stepsize= 1.000000
+dualbound = 3266652.233574, lowerbound=1252482.233574, norm of subgrad 1119.721498 dualbound = 3266652.233574, lowerbound=1252482.233574, norm of subgrad 37.344748 stepsize= 1.000000
+dualbound = 3266745.675239, lowerbound=1250180.675239, norm of subgrad 1118.676305 dualbound = 3266745.675239, lowerbound=1250180.675239, norm of subgrad 36.734747 stepsize= 1.000000
+dualbound = 3266864.403031, lowerbound=1254266.403031, norm of subgrad 1120.505869 dualbound = 3266864.403031, lowerbound=1254266.403031, norm of subgrad 37.225365 stepsize= 1.000000
+dualbound = 3266904.462580, lowerbound=1250609.462580, norm of subgrad 1118.889835 dualbound = 3266904.462580, lowerbound=1250609.462580, norm of subgrad 36.675054 stepsize= 1.000000
+dualbound = 3267032.358082, lowerbound=1252695.358082, norm of subgrad 1119.809519 dualbound = 3267032.358082, lowerbound=1252695.358082, norm of subgrad 37.495273 stepsize= 1.000000
+dualbound = 3267114.758849, lowerbound=1250274.758849, norm of subgrad 1118.724166 dualbound = 3267114.758849, lowerbound=1250274.758849, norm of subgrad 36.761403 stepsize= 1.000000
+dualbound = 3267228.126665, lowerbound=1253201.126665, norm of subgrad 1120.043806 dualbound = 3267228.126665, lowerbound=1253201.126665, norm of subgrad 37.554864 stepsize= 1.000000
+dualbound = 3267274.299161, lowerbound=1253501.299161, norm of subgrad 1120.211274 dualbound = 3267274.299161, lowerbound=1253501.299161, norm of subgrad 37.658631 stepsize= 1.000000
+dualbound = 3267418.923705, lowerbound=1251071.923705, norm of subgrad 1119.113454 dualbound = 3267418.923705, lowerbound=1251071.923705, norm of subgrad 38.569736 stepsize= 1.000000
+dualbound = 3267466.484863, lowerbound=1254415.484863, norm of subgrad 1120.631289 dualbound = 3267466.484863, lowerbound=1254415.484863, norm of subgrad 38.033685 stepsize= 1.000000
+dualbound = 3267573.449827, lowerbound=1253979.449827, norm of subgrad 1120.398344 dualbound = 3267573.449827, lowerbound=1253979.449827, norm of subgrad 37.682422 stepsize= 1.000000
+dualbound = 3267687.062816, lowerbound=1252638.062816, norm of subgrad 1119.777238 dualbound = 3267687.062816, lowerbound=1252638.062816, norm of subgrad 37.102736 stepsize= 1.000000
+dualbound = 3267800.607562, lowerbound=1250406.607562, norm of subgrad 1118.788455 dualbound = 3267800.607562, lowerbound=1250406.607562, norm of subgrad 37.343604 stepsize= 1.000000
+dualbound = 3267866.896203, lowerbound=1255325.896203, norm of subgrad 1120.980774 dualbound = 3267866.896203, lowerbound=1255325.896203, norm of subgrad 36.582628 stepsize= 1.000000
+dualbound = 3267992.409609, lowerbound=1252720.409609, norm of subgrad 1119.838118 dualbound = 3267992.409609, lowerbound=1252720.409609, norm of subgrad 37.980435 stepsize= 1.000000
+dualbound = 3268065.386304, lowerbound=1254137.386304, norm of subgrad 1120.463469 dualbound = 3268065.386304, lowerbound=1254137.386304, norm of subgrad 37.067192 stepsize= 1.000000
+dualbound = 3268173.374807, lowerbound=1252984.374807, norm of subgrad 1119.940791 dualbound = 3268173.374807, lowerbound=1252984.374807, norm of subgrad 37.295958 stepsize= 1.000000
+dualbound = 3268266.179150, lowerbound=1249043.179150, norm of subgrad 1118.183875 dualbound = 3268266.179150, lowerbound=1249043.179150, norm of subgrad 37.212959 stepsize= 1.000000
+dualbound = 3268362.260497, lowerbound=1253581.260497, norm of subgrad 1120.225986 dualbound = 3268362.260497, lowerbound=1253581.260497, norm of subgrad 37.697233 stepsize= 1.000000
+dualbound = 3268425.070560, lowerbound=1248455.070560, norm of subgrad 1117.950388 dualbound = 3268425.070560, lowerbound=1248455.070560, norm of subgrad 37.693634 stepsize= 1.000000
+dualbound = 3268536.959167, lowerbound=1253428.959167, norm of subgrad 1120.158453 dualbound = 3268536.959167, lowerbound=1253428.959167, norm of subgrad 37.919502 stepsize= 1.000000
+dualbound = 3268633.852017, lowerbound=1251621.852017, norm of subgrad 1119.313563 dualbound = 3268633.852017, lowerbound=1251621.852017, norm of subgrad 36.577218 stepsize= 1.000000
+dualbound = 3268769.199122, lowerbound=1254939.199122, norm of subgrad 1120.810510 dualbound = 3268769.199122, lowerbound=1254939.199122, norm of subgrad 37.581207 stepsize= 1.000000
+dualbound = 3268828.783246, lowerbound=1248208.783246, norm of subgrad 1117.801764 dualbound = 3268828.783246, lowerbound=1248208.783246, norm of subgrad 36.490877 stepsize= 1.000000
+dualbound = 3268938.829898, lowerbound=1254436.829898, norm of subgrad 1120.586824 dualbound = 3268938.829898, lowerbound=1254436.829898, norm of subgrad 37.256498 stepsize= 1.000000
+dualbound = 3269038.241647, lowerbound=1253450.241647, norm of subgrad 1120.141170 dualbound = 3269038.241647, lowerbound=1253450.241647, norm of subgrad 36.951478 stepsize= 1.000000
+dualbound = 3269133.368174, lowerbound=1258250.368174, norm of subgrad 1122.328993 dualbound = 3269133.368174, lowerbound=1258250.368174, norm of subgrad 38.303088 stepsize= 1.000000
+dualbound = 3269163.784085, lowerbound=1245005.784085, norm of subgrad 1116.407535 dualbound = 3269163.784085, lowerbound=1245005.784085, norm of subgrad 37.288281 stepsize= 1.000000
+dualbound = 3269300.645025, lowerbound=1254212.645025, norm of subgrad 1120.489913 dualbound = 3269300.645025, lowerbound=1254212.645025, norm of subgrad 37.707571 stepsize= 1.000000
+dualbound = 3269390.924142, lowerbound=1247424.924142, norm of subgrad 1117.464059 dualbound = 3269390.924142, lowerbound=1247424.924142, norm of subgrad 37.299854 stepsize= 1.000000
+dualbound = 3269515.266483, lowerbound=1250935.266483, norm of subgrad 1119.023801 dualbound = 3269515.266483, lowerbound=1250935.266483, norm of subgrad 37.461211 stepsize= 1.000000
+dualbound = 3269595.432874, lowerbound=1256290.432874, norm of subgrad 1121.452377 dualbound = 3269595.432874, lowerbound=1256290.432874, norm of subgrad 38.015344 stepsize= 1.000000
+dualbound = 3269667.215754, lowerbound=1254063.215754, norm of subgrad 1120.449560 dualbound = 3269667.215754, lowerbound=1254063.215754, norm of subgrad 37.626890 stepsize= 1.000000
+dualbound = 3269772.368669, lowerbound=1252755.368669, norm of subgrad 1119.855512 dualbound = 3269772.368669, lowerbound=1252755.368669, norm of subgrad 37.764440 stepsize= 1.000000
+dualbound = 3269887.369227, lowerbound=1254484.369227, norm of subgrad 1120.610713 dualbound = 3269887.369227, lowerbound=1254484.369227, norm of subgrad 37.403216 stepsize= 1.000000
+dualbound = 3269969.498535, lowerbound=1256869.498535, norm of subgrad 1121.707403 dualbound = 3269969.498535, lowerbound=1256869.498535, norm of subgrad 37.949036 stepsize= 1.000000
+dualbound = 3270055.919365, lowerbound=1255808.919365, norm of subgrad 1121.200214 dualbound = 3270055.919365, lowerbound=1255808.919365, norm of subgrad 36.978654 stepsize= 1.000000
+dualbound = 3270143.909752, lowerbound=1252585.909752, norm of subgrad 1119.770472 dualbound = 3270143.909752, lowerbound=1252585.909752, norm of subgrad 37.255743 stepsize= 1.000000
+dualbound = 3270270.960899, lowerbound=1251366.960899, norm of subgrad 1119.222481 dualbound = 3270270.960899, lowerbound=1251366.960899, norm of subgrad 37.670295 stepsize= 1.000000
+dualbound = 3270357.409918, lowerbound=1253099.409918, norm of subgrad 1119.988576 dualbound = 3270357.409918, lowerbound=1253099.409918, norm of subgrad 36.897819 stepsize= 1.000000
+dualbound = 3270457.995482, lowerbound=1252659.995482, norm of subgrad 1119.810696 dualbound = 3270457.995482, lowerbound=1252659.995482, norm of subgrad 37.637555 stepsize= 1.000000
+dualbound = 3270541.604799, lowerbound=1251640.604799, norm of subgrad 1119.327747 dualbound = 3270541.604799, lowerbound=1251640.604799, norm of subgrad 36.573342 stepsize= 1.000000
+dualbound = 3270666.664058, lowerbound=1254743.664058, norm of subgrad 1120.746922 dualbound = 3270666.664058, lowerbound=1254743.664058, norm of subgrad 38.145239 stepsize= 1.000000
+dualbound = 3270720.078447, lowerbound=1253703.078447, norm of subgrad 1120.254024 dualbound = 3270720.078447, lowerbound=1253703.078447, norm of subgrad 36.323744 stepsize= 1.000000
+dualbound = 3270857.365155, lowerbound=1253260.365155, norm of subgrad 1120.060429 dualbound = 3270857.365155, lowerbound=1253260.365155, norm of subgrad 37.580403 stepsize= 1.000000
+dualbound = 3270911.832521, lowerbound=1252372.832521, norm of subgrad 1119.700778 dualbound = 3270911.832521, lowerbound=1252372.832521, norm of subgrad 37.569500 stepsize= 1.000000
+dualbound = 3271020.122290, lowerbound=1253427.122290, norm of subgrad 1120.157633 dualbound = 3271020.122290, lowerbound=1253427.122290, norm of subgrad 37.872018 stepsize= 1.000000
+dualbound = 3271105.176929, lowerbound=1249691.176929, norm of subgrad 1118.487898 dualbound = 3271105.176929, lowerbound=1249691.176929, norm of subgrad 37.537377 stepsize= 1.000000
+dualbound = 3271202.206766, lowerbound=1253871.206766, norm of subgrad 1120.349145 dualbound = 3271202.206766, lowerbound=1253871.206766, norm of subgrad 37.523724 stepsize= 1.000000
+dualbound = 3271289.951635, lowerbound=1259875.951635, norm of subgrad 1123.011109 dualbound = 3271289.951635, lowerbound=1259875.951635, norm of subgrad 36.955986 stepsize= 1.000000
+dualbound = 3271410.247339, lowerbound=1251588.247339, norm of subgrad 1119.302572 dualbound = 3271410.247339, lowerbound=1251588.247339, norm of subgrad 37.017505 stepsize= 1.000000
+dualbound = 3271493.704555, lowerbound=1251583.704555, norm of subgrad 1119.285801 dualbound = 3271493.704555, lowerbound=1251583.704555, norm of subgrad 36.061853 stepsize= 1.000000
+dualbound = 3271618.848394, lowerbound=1248383.848394, norm of subgrad 1117.866651 dualbound = 3271618.848394, lowerbound=1248383.848394, norm of subgrad 36.974908 stepsize= 1.000000
+dualbound = 3271661.585488, lowerbound=1254660.585488, norm of subgrad 1120.704950 dualbound = 3271661.585488, lowerbound=1254660.585488, norm of subgrad 36.901722 stepsize= 1.000000
+dualbound = 3271777.424076, lowerbound=1250003.424076, norm of subgrad 1118.620322 dualbound = 3271777.424076, lowerbound=1250003.424076, norm of subgrad 37.733786 stepsize= 1.000000
+dualbound = 3271866.531154, lowerbound=1255743.531154, norm of subgrad 1121.210743 dualbound = 3271866.531154, lowerbound=1255743.531154, norm of subgrad 38.198260 stepsize= 1.000000
+dualbound = 3271954.060307, lowerbound=1251906.060307, norm of subgrad 1119.445425 dualbound = 3271954.060307, lowerbound=1251906.060307, norm of subgrad 36.599579 stepsize= 1.000000
+dualbound = 3272074.622118, lowerbound=1249908.622118, norm of subgrad 1118.573923 dualbound = 3272074.622118, lowerbound=1249908.622118, norm of subgrad 37.677073 stepsize= 1.000000
+dualbound = 3272135.596592, lowerbound=1252703.596592, norm of subgrad 1119.835969 dualbound = 3272135.596592, lowerbound=1252703.596592, norm of subgrad 37.282361 stepsize= 1.000000
+dualbound = 3272241.633168, lowerbound=1255632.633168, norm of subgrad 1121.122934 dualbound = 3272241.633168, lowerbound=1255632.633168, norm of subgrad 37.283194 stepsize= 1.000000
+dualbound = 3272335.077176, lowerbound=1252807.077176, norm of subgrad 1119.874581 dualbound = 3272335.077176, lowerbound=1252807.077176, norm of subgrad 37.489252 stepsize= 1.000000
+dualbound = 3272424.707387, lowerbound=1256647.707387, norm of subgrad 1121.592487 dualbound = 3272424.707387, lowerbound=1256647.707387, norm of subgrad 37.571668 stepsize= 1.000000
+dualbound = 3272534.339878, lowerbound=1250971.339878, norm of subgrad 1119.036791 dualbound = 3272534.339878, lowerbound=1250971.339878, norm of subgrad 37.170317 stepsize= 1.000000
+dualbound = 3272625.648022, lowerbound=1253300.648022, norm of subgrad 1120.079751 dualbound = 3272625.648022, lowerbound=1253300.648022, norm of subgrad 37.004164 stepsize= 1.000000
+dualbound = 3272722.835943, lowerbound=1254433.835943, norm of subgrad 1120.600212 dualbound = 3272722.835943, lowerbound=1254433.835943, norm of subgrad 37.525830 stepsize= 1.000000
+dualbound = 3272778.024619, lowerbound=1252907.024619, norm of subgrad 1119.920990 dualbound = 3272778.024619, lowerbound=1252907.024619, norm of subgrad 37.029565 stepsize= 1.000000
+dualbound = 3272924.027727, lowerbound=1254637.027727, norm of subgrad 1120.672578 dualbound = 3272924.027727, lowerbound=1254637.027727, norm of subgrad 37.629817 stepsize= 1.000000
+dualbound = 3272988.014255, lowerbound=1254137.014255, norm of subgrad 1120.462857 dualbound = 3272988.014255, lowerbound=1254137.014255, norm of subgrad 36.932188 stepsize= 1.000000
+dualbound = 3273087.142789, lowerbound=1251495.142789, norm of subgrad 1119.290017 dualbound = 3273087.142789, lowerbound=1251495.142789, norm of subgrad 37.604900 stepsize= 1.000000
+dualbound = 3273186.066534, lowerbound=1255375.066534, norm of subgrad 1121.002706 dualbound = 3273186.066534, lowerbound=1255375.066534, norm of subgrad 37.025987 stepsize= 1.000000
+dualbound = 3273279.866086, lowerbound=1253478.866086, norm of subgrad 1120.164214 dualbound = 3273279.866086, lowerbound=1253478.866086, norm of subgrad 37.186013 stepsize= 1.000000
+dualbound = 3273368.870914, lowerbound=1253447.870914, norm of subgrad 1120.144130 dualbound = 3273368.870914, lowerbound=1253447.870914, norm of subgrad 36.932436 stepsize= 1.000000
+dualbound = 3273465.586678, lowerbound=1252282.586678, norm of subgrad 1119.637703 dualbound = 3273465.586678, lowerbound=1252282.586678, norm of subgrad 37.452847 stepsize= 1.000000
+dualbound = 3273542.186496, lowerbound=1253666.186496, norm of subgrad 1120.279066 dualbound = 3273542.186496, lowerbound=1253666.186496, norm of subgrad 37.889310 stepsize= 1.000000
+dualbound = 3273648.909359, lowerbound=1256180.909359, norm of subgrad 1121.369212 dualbound = 3273648.909359, lowerbound=1256180.909359, norm of subgrad 37.345989 stepsize= 1.000000
+dualbound = 3273743.050478, lowerbound=1252838.050478, norm of subgrad 1119.885731 dualbound = 3273743.050478, lowerbound=1252838.050478, norm of subgrad 37.418460 stepsize= 1.000000
+dualbound = 3273855.623418, lowerbound=1246564.623418, norm of subgrad 1117.061602 dualbound = 3273855.623418, lowerbound=1246564.623418, norm of subgrad 37.075234 stepsize= 1.000000
+dualbound = 3273943.386640, lowerbound=1257865.386640, norm of subgrad 1122.106673 dualbound = 3273943.386640, lowerbound=1257865.386640, norm of subgrad 36.684646 stepsize= 1.000000
+dualbound = 3274045.534063, lowerbound=1250219.534063, norm of subgrad 1118.727194 dualbound = 3274045.534063, lowerbound=1250219.534063, norm of subgrad 37.856934 stepsize= 1.000000
+dualbound = 3274110.379580, lowerbound=1252722.379580, norm of subgrad 1119.855517 dualbound = 3274110.379580, lowerbound=1252722.379580, norm of subgrad 37.667566 stepsize= 1.000000
+dualbound = 3274220.140897, lowerbound=1253159.140897, norm of subgrad 1120.028634 dualbound = 3274220.140897, lowerbound=1253159.140897, norm of subgrad 37.613313 stepsize= 1.000000
+dualbound = 3274310.266097, lowerbound=1257355.266097, norm of subgrad 1121.893607 dualbound = 3274310.266097, lowerbound=1257355.266097, norm of subgrad 37.150036 stepsize= 1.000000
+dualbound = 3274438.811788, lowerbound=1255436.811788, norm of subgrad 1120.992334 dualbound = 3274438.811788, lowerbound=1255436.811788, norm of subgrad 36.270452 stepsize= 1.000000
+dualbound = 3274521.090218, lowerbound=1252514.090218, norm of subgrad 1119.735723 dualbound = 3274521.090218, lowerbound=1252514.090218, norm of subgrad 37.098227 stepsize= 1.000000
+dualbound = 3274590.233900, lowerbound=1251851.233900, norm of subgrad 1119.453989 dualbound = 3274590.233900, lowerbound=1251851.233900, norm of subgrad 37.351622 stepsize= 1.000000
+dualbound = 3274725.578215, lowerbound=1254804.578215, norm of subgrad 1120.736177 dualbound = 3274725.578215, lowerbound=1254804.578215, norm of subgrad 37.152985 stepsize= 1.000000
+dualbound = 3274807.341975, lowerbound=1252315.341975, norm of subgrad 1119.629556 dualbound = 3274807.341975, lowerbound=1252315.341975, norm of subgrad 36.561780 stepsize= 1.000000
+dualbound = 3274889.540597, lowerbound=1251454.540597, norm of subgrad 1119.258031 dualbound = 3274889.540597, lowerbound=1251454.540597, norm of subgrad 36.962124 stepsize= 1.000000
+dualbound = 3275016.524564, lowerbound=1256475.524564, norm of subgrad 1121.489868 dualbound = 3275016.524564, lowerbound=1256475.524564, norm of subgrad 37.295897 stepsize= 1.000000
+dualbound = 3275061.686991, lowerbound=1250522.686991, norm of subgrad 1118.873848 dualbound = 3275061.686991, lowerbound=1250522.686991, norm of subgrad 37.432104 stepsize= 1.000000
+dualbound = 3275166.693716, lowerbound=1257468.693716, norm of subgrad 1121.972680 dualbound = 3275166.693716, lowerbound=1257468.693716, norm of subgrad 38.196947 stepsize= 1.000000
+dualbound = 3275248.329974, lowerbound=1249808.329974, norm of subgrad 1118.534903 dualbound = 3275248.329974, lowerbound=1249808.329974, norm of subgrad 37.331438 stepsize= 1.000000
+dualbound = 3275383.004090, lowerbound=1253762.004090, norm of subgrad 1120.277200 dualbound = 3275383.004090, lowerbound=1253762.004090, norm of subgrad 37.331945 stepsize= 1.000000
+dualbound = 3275446.648795, lowerbound=1251279.648795, norm of subgrad 1119.172305 dualbound = 3275446.648795, lowerbound=1251279.648795, norm of subgrad 36.478003 stepsize= 1.000000
+dualbound = 3275556.713410, lowerbound=1255187.713410, norm of subgrad 1120.933858 dualbound = 3275556.713410, lowerbound=1255187.713410, norm of subgrad 37.617345 stepsize= 1.000000
+dualbound = 3275635.691654, lowerbound=1250712.691654, norm of subgrad 1118.952497 dualbound = 3275635.691654, lowerbound=1250712.691654, norm of subgrad 37.695865 stepsize= 1.000000
+dualbound = 3275720.194968, lowerbound=1254978.194968, norm of subgrad 1120.871177 dualbound = 3275720.194968, lowerbound=1254978.194968, norm of subgrad 38.190356 stepsize= 1.000000
+dualbound = 3275829.803361, lowerbound=1249649.803361, norm of subgrad 1118.442132 dualbound = 3275829.803361, lowerbound=1249649.803361, norm of subgrad 37.048730 stepsize= 1.000000
+dualbound = 3275936.985281, lowerbound=1251519.985281, norm of subgrad 1119.281013 dualbound = 3275936.985281, lowerbound=1251519.985281, norm of subgrad 37.110402 stepsize= 1.000000
+dualbound = 3276037.439461, lowerbound=1255202.439461, norm of subgrad 1120.910094 dualbound = 3276037.439461, lowerbound=1255202.439461, norm of subgrad 36.571221 stepsize= 1.000000
+dualbound = 3276124.475291, lowerbound=1253579.475291, norm of subgrad 1120.195731 dualbound = 3276124.475291, lowerbound=1253579.475291, norm of subgrad 36.688361 stepsize= 1.000000
+dualbound = 3276239.600025, lowerbound=1255161.600025, norm of subgrad 1120.893215 dualbound = 3276239.600025, lowerbound=1255161.600025, norm of subgrad 36.812019 stepsize= 1.000000
+dualbound = 3276312.370003, lowerbound=1254370.370003, norm of subgrad 1120.550476 dualbound = 3276312.370003, lowerbound=1254370.370003, norm of subgrad 36.548187 stepsize= 1.000000
+dualbound = 3276400.113477, lowerbound=1256856.113477, norm of subgrad 1121.656861 dualbound = 3276400.113477, lowerbound=1256856.113477, norm of subgrad 36.684376 stepsize= 1.000000
+dualbound = 3276495.503689, lowerbound=1255394.503689, norm of subgrad 1121.010483 dualbound = 3276495.503689, lowerbound=1255394.503689, norm of subgrad 36.951187 stepsize= 1.000000
+dualbound = 3276612.020938, lowerbound=1252159.020938, norm of subgrad 1119.542327 dualbound = 3276612.020938, lowerbound=1252159.020938, norm of subgrad 36.503661 stepsize= 1.000000
+dualbound = 3276686.665955, lowerbound=1253892.665955, norm of subgrad 1120.344887 dualbound = 3276686.665955, lowerbound=1253892.665955, norm of subgrad 36.805503 stepsize= 1.000000
+dualbound = 3276782.246660, lowerbound=1254275.246660, norm of subgrad 1120.504907 dualbound = 3276782.246660, lowerbound=1254275.246660, norm of subgrad 36.763851 stepsize= 1.000000
+dualbound = 3276879.605843, lowerbound=1256009.605843, norm of subgrad 1121.287477 dualbound = 3276879.605843, lowerbound=1256009.605843, norm of subgrad 37.058861 stepsize= 1.000000
+dualbound = 3276965.779593, lowerbound=1246505.779593, norm of subgrad 1117.034368 dualbound = 3276965.779593, lowerbound=1246505.779593, norm of subgrad 36.690241 stepsize= 1.000000
+dualbound = 3277072.237684, lowerbound=1255038.237684, norm of subgrad 1120.850676 dualbound = 3277072.237684, lowerbound=1255038.237684, norm of subgrad 37.073685 stepsize= 1.000000
+dualbound = 3277126.077738, lowerbound=1255566.077738, norm of subgrad 1121.125808 dualbound = 3277126.077738, lowerbound=1255566.077738, norm of subgrad 37.561151 stepsize= 1.000000
+dualbound = 3277245.779129, lowerbound=1257668.779129, norm of subgrad 1122.039562 dualbound = 3277245.779129, lowerbound=1257668.779129, norm of subgrad 37.731968 stepsize= 1.000000
+dualbound = 3277330.447508, lowerbound=1252833.447508, norm of subgrad 1119.884569 dualbound = 3277330.447508, lowerbound=1252833.447508, norm of subgrad 37.318472 stepsize= 1.000000
+dualbound = 3277445.333899, lowerbound=1252049.333899, norm of subgrad 1119.528621 dualbound = 3277445.333899, lowerbound=1252049.333899, norm of subgrad 37.548454 stepsize= 1.000000
+dualbound = 3277508.958049, lowerbound=1254353.958049, norm of subgrad 1120.570372 dualbound = 3277508.958049, lowerbound=1254353.958049, norm of subgrad 37.250828 stepsize= 1.000000
+dualbound = 3277618.919333, lowerbound=1249513.919333, norm of subgrad 1118.423855 dualbound = 3277618.919333, lowerbound=1249513.919333, norm of subgrad 38.313983 stepsize= 1.000000
+dualbound = 3277698.359040, lowerbound=1251361.359040, norm of subgrad 1119.207469 dualbound = 3277698.359040, lowerbound=1251361.359040, norm of subgrad 36.652963 stepsize= 1.000000
+dualbound = 3277830.729605, lowerbound=1255011.729605, norm of subgrad 1120.853126 dualbound = 3277830.729605, lowerbound=1255011.729605, norm of subgrad 37.846672 stepsize= 1.000000
+dualbound = 3277878.062615, lowerbound=1250174.062615, norm of subgrad 1118.679160 dualbound = 3277878.062615, lowerbound=1250174.062615, norm of subgrad 36.281304 stepsize= 1.000000
+dualbound = 3278020.116952, lowerbound=1257225.116952, norm of subgrad 1121.820448 dualbound = 3278020.116952, lowerbound=1257225.116952, norm of subgrad 37.390565 stepsize= 1.000000
+dualbound = 3278105.023871, lowerbound=1252939.023871, norm of subgrad 1119.887951 dualbound = 3278105.023871, lowerbound=1252939.023871, norm of subgrad 35.984815 stepsize= 1.000000
+dualbound = 3278194.611797, lowerbound=1254736.611797, norm of subgrad 1120.737976 dualbound = 3278194.611797, lowerbound=1254736.611797, norm of subgrad 37.504505 stepsize= 1.000000
+dualbound = 3278257.139402, lowerbound=1250894.139402, norm of subgrad 1119.027765 dualbound = 3278257.139402, lowerbound=1250894.139402, norm of subgrad 37.303185 stepsize= 1.000000
+dualbound = 3278374.759865, lowerbound=1259710.759865, norm of subgrad 1122.951807 dualbound = 3278374.759865, lowerbound=1259710.759865, norm of subgrad 37.783865 stepsize= 1.000000
+dualbound = 3278445.074520, lowerbound=1251044.074520, norm of subgrad 1119.089395 dualbound = 3278445.074520, lowerbound=1251044.074520, norm of subgrad 37.246673 stepsize= 1.000000
+dualbound = 3278567.021814, lowerbound=1257275.021814, norm of subgrad 1121.855615 dualbound = 3278567.021814, lowerbound=1257275.021814, norm of subgrad 37.509296 stepsize= 1.000000
+dualbound = 3278630.271723, lowerbound=1252656.271723, norm of subgrad 1119.822875 dualbound = 3278630.271723, lowerbound=1252656.271723, norm of subgrad 37.553294 stepsize= 1.000000
+dualbound = 3278738.732210, lowerbound=1251371.732210, norm of subgrad 1119.209870 dualbound = 3278738.732210, lowerbound=1251371.732210, norm of subgrad 36.979190 stepsize= 1.000000
+dualbound = 3278834.625686, lowerbound=1249182.625686, norm of subgrad 1118.259641 dualbound = 3278834.625686, lowerbound=1249182.625686, norm of subgrad 37.654926 stepsize= 1.000000
+dualbound = 3278927.365813, lowerbound=1251704.365813, norm of subgrad 1119.384816 dualbound = 3278927.365813, lowerbound=1251704.365813, norm of subgrad 37.559821 stepsize= 1.000000
+dualbound = 3279008.920848, lowerbound=1252386.920848, norm of subgrad 1119.678043 dualbound = 3279008.920848, lowerbound=1252386.920848, norm of subgrad 37.061503 stepsize= 1.000000
+dualbound = 3279121.382414, lowerbound=1260541.382414, norm of subgrad 1123.286866 dualbound = 3279121.382414, lowerbound=1260541.382414, norm of subgrad 36.666900 stepsize= 1.000000
+dualbound = 3279215.999893, lowerbound=1245177.999893, norm of subgrad 1116.477496 dualbound = 3279215.999893, lowerbound=1245177.999893, norm of subgrad 37.929111 stepsize= 1.000000
+dualbound = 3279293.440518, lowerbound=1261905.440518, norm of subgrad 1123.914339 dualbound = 3279293.440518, lowerbound=1261905.440518, norm of subgrad 36.816309 stepsize= 1.000000
+dualbound = 3279401.624702, lowerbound=1249913.624702, norm of subgrad 1118.567667 dualbound = 3279401.624702, lowerbound=1249913.624702, norm of subgrad 37.258344 stepsize= 1.000000
+dualbound = 3279502.616552, lowerbound=1255708.616552, norm of subgrad 1121.152361 dualbound = 3279502.616552, lowerbound=1255708.616552, norm of subgrad 37.080883 stepsize= 1.000000
+dualbound = 3279611.442479, lowerbound=1251346.442479, norm of subgrad 1119.206613 dualbound = 3279611.442479, lowerbound=1251346.442479, norm of subgrad 37.226683 stepsize= 1.000000
+dualbound = 3279687.307651, lowerbound=1260915.307651, norm of subgrad 1123.492460 dualbound = 3279687.307651, lowerbound=1260915.307651, norm of subgrad 37.361279 stepsize= 1.000000
+dualbound = 3279778.535809, lowerbound=1252871.535809, norm of subgrad 1119.893091 dualbound = 3279778.535809, lowerbound=1252871.535809, norm of subgrad 37.151422 stepsize= 1.000000
+dualbound = 3279872.035148, lowerbound=1251349.035148, norm of subgrad 1119.225641 dualbound = 3279872.035148, lowerbound=1251349.035148, norm of subgrad 37.556615 stepsize= 1.000000
+dualbound = 3279975.156993, lowerbound=1253359.156993, norm of subgrad 1120.119707 dualbound = 3279975.156993, lowerbound=1253359.156993, norm of subgrad 37.578210 stepsize= 1.000000
+dualbound = 3280061.839263, lowerbound=1255632.839263, norm of subgrad 1121.123918 dualbound = 3280061.839263, lowerbound=1255632.839263, norm of subgrad 37.049727 stepsize= 1.000000
+dualbound = 3280176.777092, lowerbound=1251999.777092, norm of subgrad 1119.499789 dualbound = 3280176.777092, lowerbound=1251999.777092, norm of subgrad 37.348867 stepsize= 1.000000
+dualbound = 3280253.720946, lowerbound=1254614.720946, norm of subgrad 1120.677349 dualbound = 3280253.720946, lowerbound=1254614.720946, norm of subgrad 37.147596 stepsize= 1.000000
+dualbound = 3280360.247469, lowerbound=1251281.247469, norm of subgrad 1119.172126 dualbound = 3280360.247469, lowerbound=1251281.247469, norm of subgrad 37.034126 stepsize= 1.000000
+dualbound = 3280455.179175, lowerbound=1255561.179175, norm of subgrad 1121.119610 dualbound = 3280455.179175, lowerbound=1255561.179175, norm of subgrad 37.985941 stepsize= 1.000000
+dualbound = 3280524.031635, lowerbound=1255317.031635, norm of subgrad 1120.997338 dualbound = 3280524.031635, lowerbound=1255317.031635, norm of subgrad 37.240468 stepsize= 1.000000
+dualbound = 3280644.199888, lowerbound=1253174.199888, norm of subgrad 1120.013482 dualbound = 3280644.199888, lowerbound=1253174.199888, norm of subgrad 37.096742 stepsize= 1.000000
+dualbound = 3280723.559698, lowerbound=1251510.559698, norm of subgrad 1119.317006 dualbound = 3280723.559698, lowerbound=1251510.559698, norm of subgrad 37.938896 stepsize= 1.000000
+dualbound = 3280816.184932, lowerbound=1254175.184932, norm of subgrad 1120.499525 dualbound = 3280816.184932, lowerbound=1254175.184932, norm of subgrad 37.902839 stepsize= 1.000000
+dualbound = 3280906.853741, lowerbound=1250016.853741, norm of subgrad 1118.592801 dualbound = 3280906.853741, lowerbound=1250016.853741, norm of subgrad 36.382260 stepsize= 1.000000
+dualbound = 3281030.288747, lowerbound=1254281.288747, norm of subgrad 1120.507157 dualbound = 3281030.288747, lowerbound=1254281.288747, norm of subgrad 37.127281 stepsize= 1.000000
+dualbound = 3281098.960074, lowerbound=1249790.960074, norm of subgrad 1118.513281 dualbound = 3281098.960074, lowerbound=1249790.960074, norm of subgrad 36.737873 stepsize= 1.000000
+dualbound = 3281199.193152, lowerbound=1255260.193152, norm of subgrad 1120.966187 dualbound = 3281199.193152, lowerbound=1255260.193152, norm of subgrad 37.486439 stepsize= 1.000000
+dualbound = 3281265.620728, lowerbound=1255079.620728, norm of subgrad 1120.897685 dualbound = 3281265.620728, lowerbound=1255079.620728, norm of subgrad 37.395556 stepsize= 1.000000
+dualbound = 3281376.424954, lowerbound=1255858.424954, norm of subgrad 1121.250385 dualbound = 3281376.424954, lowerbound=1255858.424954, norm of subgrad 38.141896 stepsize= 1.000000
+dualbound = 3281480.055274, lowerbound=1252952.055274, norm of subgrad 1119.897341 dualbound = 3281480.055274, lowerbound=1252952.055274, norm of subgrad 36.354234 stepsize= 1.000000
+dualbound = 3281615.135230, lowerbound=1254260.135230, norm of subgrad 1120.491917 dualbound = 3281615.135230, lowerbound=1254260.135230, norm of subgrad 37.109028 stepsize= 1.000000
+dualbound = 3281659.324194, lowerbound=1248470.324194, norm of subgrad 1117.926797 dualbound = 3281659.324194, lowerbound=1248470.324194, norm of subgrad 36.526551 stepsize= 1.000000
+dualbound = 3281776.275727, lowerbound=1257841.275727, norm of subgrad 1122.113753 dualbound = 3281776.275727, lowerbound=1257841.275727, norm of subgrad 37.615842 stepsize= 1.000000
+dualbound = 3281838.782584, lowerbound=1253076.782584, norm of subgrad 1120.001689 dualbound = 3281838.782584, lowerbound=1253076.782584, norm of subgrad 37.276090 stepsize= 1.000000
+dualbound = 3281950.842868, lowerbound=1256054.842868, norm of subgrad 1121.276881 dualbound = 3281950.842868, lowerbound=1256054.842868, norm of subgrad 36.318870 stepsize= 1.000000
+dualbound = 3282069.689924, lowerbound=1249633.689924, norm of subgrad 1118.448787 dualbound = 3282069.689924, lowerbound=1249633.689924, norm of subgrad 37.587858 stepsize= 1.000000
+dualbound = 3282128.750294, lowerbound=1256659.750294, norm of subgrad 1121.582253 dualbound = 3282128.750294, lowerbound=1256659.750294, norm of subgrad 36.688695 stepsize= 1.000000
+dualbound = 3282230.465917, lowerbound=1252252.465917, norm of subgrad 1119.603709 dualbound = 3282230.465917, lowerbound=1252252.465917, norm of subgrad 36.901431 stepsize= 1.000000
+dualbound = 3282347.684662, lowerbound=1257609.684662, norm of subgrad 1121.969110 dualbound = 3282347.684662, lowerbound=1257609.684662, norm of subgrad 36.362326 stepsize= 1.000000
+dualbound = 3282436.157192, lowerbound=1249827.157192, norm of subgrad 1118.542872 dualbound = 3282436.157192, lowerbound=1249827.157192, norm of subgrad 37.409525 stepsize= 1.000000
+dualbound = 3282534.384638, lowerbound=1256129.384638, norm of subgrad 1121.351142 dualbound = 3282534.384638, lowerbound=1256129.384638, norm of subgrad 37.379506 stepsize= 1.000000
+dualbound = 3282609.793138, lowerbound=1249804.793138, norm of subgrad 1118.526170 dualbound = 3282609.793138, lowerbound=1249804.793138, norm of subgrad 37.032533 stepsize= 1.000000
+dualbound = 3282725.335056, lowerbound=1254919.335056, norm of subgrad 1120.799864 dualbound = 3282725.335056, lowerbound=1254919.335056, norm of subgrad 37.263144 stepsize= 1.000000
+dualbound = 3282798.720444, lowerbound=1256967.720444, norm of subgrad 1121.737813 dualbound = 3282798.720444, lowerbound=1256967.720444, norm of subgrad 37.435082 stepsize= 1.000000
+dualbound = 3282898.808042, lowerbound=1253988.808042, norm of subgrad 1120.396273 dualbound = 3282898.808042, lowerbound=1253988.808042, norm of subgrad 37.404379 stepsize= 1.000000
+dualbound = 3282991.529427, lowerbound=1252347.529427, norm of subgrad 1119.652861 dualbound = 3282991.529427, lowerbound=1252347.529427, norm of subgrad 36.982717 stepsize= 1.000000
+dualbound = 3283087.751116, lowerbound=1251941.751116, norm of subgrad 1119.475659 dualbound = 3283087.751116, lowerbound=1251941.751116, norm of subgrad 37.151335 stepsize= 1.000000
+dualbound = 3283180.669091, lowerbound=1253642.669091, norm of subgrad 1120.254734 dualbound = 3283180.669091, lowerbound=1253642.669091, norm of subgrad 37.695066 stepsize= 1.000000
+dualbound = 3283242.168741, lowerbound=1254459.168741, norm of subgrad 1120.645871 dualbound = 3283242.168741, lowerbound=1254459.168741, norm of subgrad 38.072295 stepsize= 1.000000
+dualbound = 3283325.698840, lowerbound=1254568.698840, norm of subgrad 1120.678678 dualbound = 3283325.698840, lowerbound=1254568.698840, norm of subgrad 37.888390 stepsize= 1.000000
+dualbound = 3283449.102077, lowerbound=1258414.102077, norm of subgrad 1122.376097 dualbound = 3283449.102077, lowerbound=1258414.102077, norm of subgrad 37.913101 stepsize= 1.000000
+dualbound = 3283538.729573, lowerbound=1252691.729573, norm of subgrad 1119.808345 dualbound = 3283538.729573, lowerbound=1252691.729573, norm of subgrad 36.994966 stepsize= 1.000000
+dualbound = 3283651.536471, lowerbound=1252402.536471, norm of subgrad 1119.691268 dualbound = 3283651.536471, lowerbound=1252402.536471, norm of subgrad 37.667053 stepsize= 1.000000
+dualbound = 3283747.800132, lowerbound=1253662.800132, norm of subgrad 1120.244973 dualbound = 3283747.800132, lowerbound=1253662.800132, norm of subgrad 37.178807 stepsize= 1.000000
+dualbound = 3283844.222114, lowerbound=1256097.222114, norm of subgrad 1121.333234 dualbound = 3283844.222114, lowerbound=1256097.222114, norm of subgrad 37.248114 stepsize= 1.000000
+dualbound = 3283934.688545, lowerbound=1255532.688545, norm of subgrad 1121.072562 dualbound = 3283934.688545, lowerbound=1255532.688545, norm of subgrad 36.898055 stepsize= 1.000000
+dualbound = 3284036.831971, lowerbound=1250777.831971, norm of subgrad 1118.962391 dualbound = 3284036.831971, lowerbound=1250777.831971, norm of subgrad 37.431850 stepsize= 1.000000
+dualbound = 3284142.183529, lowerbound=1254482.183529, norm of subgrad 1120.619553 dualbound = 3284142.183529, lowerbound=1254482.183529, norm of subgrad 37.567959 stepsize= 1.000000
+dualbound = 3284220.692191, lowerbound=1252406.692191, norm of subgrad 1119.700715 dualbound = 3284220.692191, lowerbound=1252406.692191, norm of subgrad 37.436729 stepsize= 1.000000
+dualbound = 3284312.062788, lowerbound=1255300.062788, norm of subgrad 1120.958992 dualbound = 3284312.062788, lowerbound=1255300.062788, norm of subgrad 36.611072 stepsize= 1.000000
+dualbound = 3284420.759177, lowerbound=1251486.759177, norm of subgrad 1119.251875 dualbound = 3284420.759177, lowerbound=1251486.759177, norm of subgrad 36.697362 stepsize= 1.000000
+dualbound = 3284508.323972, lowerbound=1251587.323972, norm of subgrad 1119.307073 dualbound = 3284508.323972, lowerbound=1251587.323972, norm of subgrad 36.722810 stepsize= 1.000000
+dualbound = 3284597.953541, lowerbound=1257642.953541, norm of subgrad 1122.027608 dualbound = 3284597.953541, lowerbound=1257642.953541, norm of subgrad 37.317952 stepsize= 1.000000
+dualbound = 3284692.666625, lowerbound=1255863.666625, norm of subgrad 1121.238452 dualbound = 3284692.666625, lowerbound=1255863.666625, norm of subgrad 37.506174 stepsize= 1.000000
+dualbound = 3284778.866023, lowerbound=1258153.866023, norm of subgrad 1122.258823 dualbound = 3284778.866023, lowerbound=1258153.866023, norm of subgrad 37.379131 stepsize= 1.000000
+dualbound = 3284866.366559, lowerbound=1251194.366559, norm of subgrad 1119.151628 dualbound = 3284866.366559, lowerbound=1251194.366559, norm of subgrad 37.329620 stepsize= 1.000000
+dualbound = 3284976.524919, lowerbound=1252199.524919, norm of subgrad 1119.597037 dualbound = 3284976.524919, lowerbound=1252199.524919, norm of subgrad 37.525436 stepsize= 1.000000
+dualbound = 3285038.904966, lowerbound=1252410.904966, norm of subgrad 1119.720458 dualbound = 3285038.904966, lowerbound=1252410.904966, norm of subgrad 37.754206 stepsize= 1.000000
+dualbound = 3285148.033541, lowerbound=1255585.033541, norm of subgrad 1121.125342 dualbound = 3285148.033541, lowerbound=1255585.033541, norm of subgrad 38.027997 stepsize= 1.000000
+dualbound = 3285220.600924, lowerbound=1252660.600924, norm of subgrad 1119.799357 dualbound = 3285220.600924, lowerbound=1252660.600924, norm of subgrad 36.912970 stepsize= 1.000000
+dualbound = 3285348.360091, lowerbound=1256136.360091, norm of subgrad 1121.311447 dualbound = 3285348.360091, lowerbound=1256136.360091, norm of subgrad 36.479572 stepsize= 1.000000
+dualbound = 3285443.018950, lowerbound=1251760.018950, norm of subgrad 1119.396274 dualbound = 3285443.018950, lowerbound=1251760.018950, norm of subgrad 37.184121 stepsize= 1.000000
+dualbound = 3285523.957536, lowerbound=1254523.957536, norm of subgrad 1120.651577 dualbound = 3285523.957536, lowerbound=1254523.957536, norm of subgrad 37.642245 stepsize= 1.000000
+dualbound = 3285589.790135, lowerbound=1251554.790135, norm of subgrad 1119.315322 dualbound = 3285589.790135, lowerbound=1251554.790135, norm of subgrad 37.119168 stepsize= 1.000000
+dualbound = 3285719.490643, lowerbound=1260366.490643, norm of subgrad 1123.209015 dualbound = 3285719.490643, lowerbound=1260366.490643, norm of subgrad 36.901226 stepsize= 1.000000
+dualbound = 3285807.535283, lowerbound=1248689.535283, norm of subgrad 1118.025731 dualbound = 3285807.535283, lowerbound=1248689.535283, norm of subgrad 37.148952 stepsize= 1.000000
+dualbound = 3285890.344076, lowerbound=1255478.344076, norm of subgrad 1121.071962 dualbound = 3285890.344076, lowerbound=1255478.344076, norm of subgrad 37.507450 stepsize= 1.000000
+dualbound = 3285990.647052, lowerbound=1253385.647052, norm of subgrad 1120.110105 dualbound = 3285990.647052, lowerbound=1253385.647052, norm of subgrad 36.895840 stepsize= 1.000000
+dualbound = 3286103.909675, lowerbound=1253869.909675, norm of subgrad 1120.314648 dualbound = 3286103.909675, lowerbound=1253869.909675, norm of subgrad 36.718696 stepsize= 1.000000
+dualbound = 3286198.477297, lowerbound=1252387.477297, norm of subgrad 1119.672487 dualbound = 3286198.477297, lowerbound=1252387.477297, norm of subgrad 37.061673 stepsize= 1.000000
+dualbound = 3286275.464873, lowerbound=1258096.464873, norm of subgrad 1122.232358 dualbound = 3286275.464873, lowerbound=1258096.464873, norm of subgrad 37.228854 stepsize= 1.000000
+dualbound = 3286372.356155, lowerbound=1254099.356155, norm of subgrad 1120.429095 dualbound = 3286372.356155, lowerbound=1254099.356155, norm of subgrad 36.863143 stepsize= 1.000000
+dualbound = 3286491.545350, lowerbound=1250662.545350, norm of subgrad 1118.902384 dualbound = 3286491.545350, lowerbound=1250662.545350, norm of subgrad 37.405737 stepsize= 1.000000
+dualbound = 3286562.431451, lowerbound=1257795.431451, norm of subgrad 1122.085750 dualbound = 3286562.431451, lowerbound=1257795.431451, norm of subgrad 36.768004 stepsize= 1.000000
+dualbound = 3286666.211632, lowerbound=1256046.211632, norm of subgrad 1121.314948 dualbound = 3286666.211632, lowerbound=1256046.211632, norm of subgrad 37.480397 stepsize= 1.000000
+dualbound = 3286749.880767, lowerbound=1253823.880767, norm of subgrad 1120.307494 dualbound = 3286749.880767, lowerbound=1253823.880767, norm of subgrad 36.724231 stepsize= 1.000000
+dualbound = 3286860.224065, lowerbound=1254374.224065, norm of subgrad 1120.578076 dualbound = 3286860.224065, lowerbound=1254374.224065, norm of subgrad 37.833098 stepsize= 1.000000
+dualbound = 3286929.400714, lowerbound=1254631.400714, norm of subgrad 1120.724498 dualbound = 3286929.400714, lowerbound=1254631.400714, norm of subgrad 38.225340 stepsize= 1.000000
+dualbound = 3287012.921781, lowerbound=1256170.921781, norm of subgrad 1121.395970 dualbound = 3287012.921781, lowerbound=1256170.921781, norm of subgrad 37.967368 stepsize= 1.000000
+dualbound = 3287109.586799, lowerbound=1253024.586799, norm of subgrad 1119.982851 dualbound = 3287109.586799, lowerbound=1253024.586799, norm of subgrad 37.863769 stepsize= 1.000000
+dualbound = 3287182.865499, lowerbound=1254707.865499, norm of subgrad 1120.739428 dualbound = 3287182.865499, lowerbound=1254707.865499, norm of subgrad 37.713110 stepsize= 1.000000
+dualbound = 3287308.649860, lowerbound=1251795.649860, norm of subgrad 1119.414423 dualbound = 3287308.649860, lowerbound=1251795.649860, norm of subgrad 37.666754 stepsize= 1.000000
+dualbound = 3287380.302699, lowerbound=1255843.302699, norm of subgrad 1121.236506 dualbound = 3287380.302699, lowerbound=1255843.302699, norm of subgrad 37.411934 stepsize= 1.000000
+dualbound = 3287490.672414, lowerbound=1250920.672414, norm of subgrad 1118.990917 dualbound = 3287490.672414, lowerbound=1250920.672414, norm of subgrad 36.474234 stepsize= 1.000000
+dualbound = 3287598.833561, lowerbound=1256451.833561, norm of subgrad 1121.486885 dualbound = 3287598.833561, lowerbound=1256451.833561, norm of subgrad 37.271452 stepsize= 1.000000
+dualbound = 3287690.510571, lowerbound=1255750.510571, norm of subgrad 1121.171490 dualbound = 3287690.510571, lowerbound=1255750.510571, norm of subgrad 36.968595 stepsize= 1.000000
+dualbound = 3287784.067181, lowerbound=1252980.067181, norm of subgrad 1119.942886 dualbound = 3287784.067181, lowerbound=1252980.067181, norm of subgrad 37.223066 stepsize= 1.000000
+dualbound = 3287872.319240, lowerbound=1251029.319240, norm of subgrad 1119.095760 dualbound = 3287872.319240, lowerbound=1251029.319240, norm of subgrad 37.871520 stepsize= 1.000000
+dualbound = 3287982.111710, lowerbound=1251172.111710, norm of subgrad 1119.106390 dualbound = 3287982.111710, lowerbound=1251172.111710, norm of subgrad 36.562173 stepsize= 1.000000
+dualbound = 3288080.594861, lowerbound=1256995.594861, norm of subgrad 1121.729288 dualbound = 3288080.594861, lowerbound=1256995.594861, norm of subgrad 37.141394 stepsize= 1.000000
+dualbound = 3288166.396292, lowerbound=1253339.396292, norm of subgrad 1120.096155 dualbound = 3288166.396292, lowerbound=1253339.396292, norm of subgrad 36.902594 stepsize= 1.000000
+dualbound = 3288254.378094, lowerbound=1257740.378094, norm of subgrad 1122.054089 dualbound = 3288254.378094, lowerbound=1257740.378094, norm of subgrad 36.782901 stepsize= 1.000000
+dualbound = 3288357.589034, lowerbound=1255422.589034, norm of subgrad 1121.031930 dualbound = 3288357.589034, lowerbound=1255422.589034, norm of subgrad 37.325741 stepsize= 1.000000
+dualbound = 3288439.339803, lowerbound=1250073.339803, norm of subgrad 1118.643974 dualbound = 3288439.339803, lowerbound=1250073.339803, norm of subgrad 37.050651 stepsize= 1.000000
+dualbound = 3288534.760554, lowerbound=1258320.760554, norm of subgrad 1122.319367 dualbound = 3288534.760554, lowerbound=1258320.760554, norm of subgrad 37.086665 stepsize= 1.000000
+dualbound = 3288613.062824, lowerbound=1250631.062824, norm of subgrad 1118.919149 dualbound = 3288613.062824, lowerbound=1250631.062824, norm of subgrad 37.779654 stepsize= 1.000000
+dualbound = 3288725.476039, lowerbound=1258251.476039, norm of subgrad 1122.288945 dualbound = 3288725.476039, lowerbound=1258251.476039, norm of subgrad 37.328450 stepsize= 1.000000
+dualbound = 3288805.196265, lowerbound=1250806.196265, norm of subgrad 1118.965681 dualbound = 3288805.196265, lowerbound=1250806.196265, norm of subgrad 36.847255 stepsize= 1.000000
+dualbound = 3288935.039603, lowerbound=1255284.039603, norm of subgrad 1120.963443 dualbound = 3288935.039603, lowerbound=1255284.039603, norm of subgrad 37.481240 stepsize= 1.000000
+dualbound = 3289015.824393, lowerbound=1250840.824393, norm of subgrad 1118.995453 dualbound = 3289015.824393, lowerbound=1250840.824393, norm of subgrad 37.293227 stepsize= 1.000000
+dualbound = 3289080.208164, lowerbound=1258203.208165, norm of subgrad 1122.287489 dualbound = 3289080.208164, lowerbound=1258203.208165, norm of subgrad 37.287850 stepsize= 1.000000
+dualbound = 3289189.069659, lowerbound=1248833.069659, norm of subgrad 1118.080529 dualbound = 3289189.069659, lowerbound=1248833.069659, norm of subgrad 37.146487 stepsize= 1.000000
+dualbound = 3289295.995152, lowerbound=1258614.995152, norm of subgrad 1122.460688 dualbound = 3289295.995152, lowerbound=1258614.995152, norm of subgrad 37.548975 stepsize= 1.000000
+dualbound = 3289370.843334, lowerbound=1249091.843334, norm of subgrad 1118.189985 dualbound = 3289370.843334, lowerbound=1249091.843334, norm of subgrad 36.494495 stepsize= 1.000000
+dualbound = 3289467.664856, lowerbound=1260212.664856, norm of subgrad 1123.161905 dualbound = 3289467.664856, lowerbound=1260212.664856, norm of subgrad 37.105546 stepsize= 1.000000
+dualbound = 3289566.251867, lowerbound=1253747.251867, norm of subgrad 1120.292485 dualbound = 3289566.251867, lowerbound=1253747.251867, norm of subgrad 37.504493 stepsize= 1.000000
+dualbound = 3289662.676391, lowerbound=1256403.676391, norm of subgrad 1121.451593 dualbound = 3289662.676391, lowerbound=1256403.676391, norm of subgrad 36.693658 stepsize= 1.000000
+dualbound = 3289754.208065, lowerbound=1250026.208065, norm of subgrad 1118.614861 dualbound = 3289754.208065, lowerbound=1250026.208065, norm of subgrad 36.939568 stepsize= 1.000000
+dualbound = 3289830.710389, lowerbound=1254272.710389, norm of subgrad 1120.534565 dualbound = 3289830.710389, lowerbound=1254272.710389, norm of subgrad 37.436644 stepsize= 1.000000
+dualbound = 3289941.335089, lowerbound=1252536.335089, norm of subgrad 1119.738512 dualbound = 3289941.335089, lowerbound=1252536.335089, norm of subgrad 37.264255 stepsize= 1.000000
+dualbound = 3290036.830087, lowerbound=1256838.830087, norm of subgrad 1121.677240 dualbound = 3290036.830087, lowerbound=1256838.830087, norm of subgrad 37.636352 stepsize= 1.000000
+dualbound = 3290137.009801, lowerbound=1252145.009801, norm of subgrad 1119.570904 dualbound = 3290137.009801, lowerbound=1252145.009801, norm of subgrad 37.338716 stepsize= 1.000000
+dualbound = 3290214.675489, lowerbound=1255344.675489, norm of subgrad 1121.006992 dualbound = 3290214.675489, lowerbound=1255344.675489, norm of subgrad 37.278220 stepsize= 1.000000
+dualbound = 3290310.880762, lowerbound=1254259.880762, norm of subgrad 1120.511437 dualbound = 3290310.880762, lowerbound=1254259.880762, norm of subgrad 37.178021 stepsize= 1.000000
+dualbound = 3290402.355693, lowerbound=1258282.355693, norm of subgrad 1122.286218 dualbound = 3290402.355693, lowerbound=1258282.355693, norm of subgrad 36.544150 stepsize= 1.000000
+dualbound = 3290511.377725, lowerbound=1249180.377725, norm of subgrad 1118.230914 dualbound = 3290511.377725, lowerbound=1249180.377725, norm of subgrad 37.000298 stepsize= 1.000000
+dualbound = 3290600.266275, lowerbound=1259108.266275, norm of subgrad 1122.654117 dualbound = 3290600.266275, lowerbound=1259108.266275, norm of subgrad 36.508746 stepsize= 1.000000
+dualbound = 3290703.950569, lowerbound=1252163.950569, norm of subgrad 1119.604372 dualbound = 3290703.950569, lowerbound=1252163.950569, norm of subgrad 38.127212 stepsize= 1.000000
+dualbound = 3290779.522441, lowerbound=1252002.522441, norm of subgrad 1119.506374 dualbound = 3290779.522441, lowerbound=1252002.522441, norm of subgrad 36.980696 stepsize= 1.000000
+dualbound = 3290880.600819, lowerbound=1253243.600819, norm of subgrad 1120.063659 dualbound = 3290880.600819, lowerbound=1253243.600819, norm of subgrad 37.417621 stepsize= 1.000000
+dualbound = 3290968.972453, lowerbound=1258988.972453, norm of subgrad 1122.640179 dualbound = 3290968.972453, lowerbound=1258988.972453, norm of subgrad 37.687818 stepsize= 1.000000
+dualbound = 3291057.810208, lowerbound=1251099.810208, norm of subgrad 1119.119212 dualbound = 3291057.810208, lowerbound=1251099.810208, norm of subgrad 37.640905 stepsize= 1.000000
+dualbound = 3291160.781600, lowerbound=1253571.781600, norm of subgrad 1120.190511 dualbound = 3291160.781600, lowerbound=1253571.781600, norm of subgrad 36.850663 stepsize= 1.000000
+dualbound = 3291271.121933, lowerbound=1252734.121933, norm of subgrad 1119.805841 dualbound = 3291271.121933, lowerbound=1252734.121933, norm of subgrad 36.624313 stepsize= 1.000000
+dualbound = 3291380.034815, lowerbound=1257746.034815, norm of subgrad 1122.044578 dualbound = 3291380.034815, lowerbound=1257746.034815, norm of subgrad 36.700312 stepsize= 1.000000
+dualbound = 3291472.404997, lowerbound=1255013.404997, norm of subgrad 1120.833353 dualbound = 3291472.404997, lowerbound=1255013.404997, norm of subgrad 36.692917 stepsize= 1.000000
+dualbound = 3291557.496938, lowerbound=1256690.496938, norm of subgrad 1121.587935 dualbound = 3291557.496938, lowerbound=1256690.496938, norm of subgrad 36.797988 stepsize= 1.000000
+dualbound = 3291639.775812, lowerbound=1252672.775812, norm of subgrad 1119.827565 dualbound = 3291639.775812, lowerbound=1252672.775812, norm of subgrad 37.726368 stepsize= 1.000000
+dualbound = 3291724.752468, lowerbound=1253979.752468, norm of subgrad 1120.419900 dualbound = 3291724.752468, lowerbound=1253979.752468, norm of subgrad 38.026000 stepsize= 1.000000
+dualbound = 3291815.672566, lowerbound=1251819.672566, norm of subgrad 1119.408180 dualbound = 3291815.672566, lowerbound=1251819.672566, norm of subgrad 36.686784 stepsize= 1.000000
+dualbound = 3291937.610643, lowerbound=1250450.610643, norm of subgrad 1118.795607 dualbound = 3291937.610643, lowerbound=1250450.610643, norm of subgrad 37.080157 stepsize= 1.000000
+dualbound = 3292018.905041, lowerbound=1260782.905041, norm of subgrad 1123.406830 dualbound = 3292018.905041, lowerbound=1260782.905041, norm of subgrad 36.623686 stepsize= 1.000000
+dualbound = 3292108.735961, lowerbound=1255405.735961, norm of subgrad 1121.053405 dualbound = 3292108.735961, lowerbound=1255405.735961, norm of subgrad 38.010932 stepsize= 1.000000
+dualbound = 3292174.323850, lowerbound=1253342.323850, norm of subgrad 1120.112193 dualbound = 3292174.323850, lowerbound=1253342.323850, norm of subgrad 37.075435 stepsize= 1.000000
+dualbound = 3292300.633124, lowerbound=1256759.633124, norm of subgrad 1121.626334 dualbound = 3292300.633124, lowerbound=1256759.633124, norm of subgrad 37.580703 stepsize= 1.000000
+dualbound = 3292386.366251, lowerbound=1252408.366251, norm of subgrad 1119.705928 dualbound = 3292386.366251, lowerbound=1252408.366251, norm of subgrad 37.666074 stepsize= 1.000000
+dualbound = 3292474.470482, lowerbound=1255829.470482, norm of subgrad 1121.211162 dualbound = 3292474.470482, lowerbound=1255829.470482, norm of subgrad 37.055421 stepsize= 1.000000
+dualbound = 3292584.810902, lowerbound=1255225.810902, norm of subgrad 1120.947729 dualbound = 3292584.810902, lowerbound=1255225.810902, norm of subgrad 37.527862 stepsize= 1.000000
+dualbound = 3292672.387432, lowerbound=1253048.387432, norm of subgrad 1119.957761 dualbound = 3292672.387432, lowerbound=1253048.387432, norm of subgrad 36.668468 stepsize= 1.000000
+dualbound = 3292777.253452, lowerbound=1253488.253452, norm of subgrad 1120.142961 dualbound = 3292777.253452, lowerbound=1253488.253452, norm of subgrad 36.563178 stepsize= 1.000000
+dualbound = 3292869.708550, lowerbound=1252478.708550, norm of subgrad 1119.698043 dualbound = 3292869.708550, lowerbound=1252478.708550, norm of subgrad 36.571233 stepsize= 1.000000
+dualbound = 3292951.073901, lowerbound=1255319.073901, norm of subgrad 1120.993789 dualbound = 3292951.073901, lowerbound=1255319.073901, norm of subgrad 37.274191 stepsize= 1.000000
+dualbound = 3293072.529134, lowerbound=1254896.529134, norm of subgrad 1120.792813 dualbound = 3293072.529134, lowerbound=1254896.529134, norm of subgrad 37.436015 stepsize= 1.000000
+dualbound = 3293107.528548, lowerbound=1261056.528548, norm of subgrad 1123.570438 dualbound = 3293107.528548, lowerbound=1261056.528548, norm of subgrad 37.269282 stepsize= 1.000000
+dualbound = 3293228.547948, lowerbound=1249224.547948, norm of subgrad 1118.274362 dualbound = 3293228.547948, lowerbound=1249224.547948, norm of subgrad 37.868449 stepsize= 1.000000
+dualbound = 3293331.151555, lowerbound=1254999.151555, norm of subgrad 1120.832794 dualbound = 3293331.151555, lowerbound=1254999.151555, norm of subgrad 37.008156 stepsize= 1.000000
+dualbound = 3293435.749119, lowerbound=1253168.749119, norm of subgrad 1120.019977 dualbound = 3293435.749119, lowerbound=1253168.749119, norm of subgrad 37.156393 stepsize= 1.000000
+dualbound = 3293522.761964, lowerbound=1250278.761964, norm of subgrad 1118.746514 dualbound = 3293522.761964, lowerbound=1250278.761964, norm of subgrad 37.443462 stepsize= 1.000000
+dualbound = 3293608.053560, lowerbound=1259858.053560, norm of subgrad 1122.983105 dualbound = 3293608.053560, lowerbound=1259858.053560, norm of subgrad 36.308286 stepsize= 1.000000
+dualbound = 3293735.578466, lowerbound=1252321.578466, norm of subgrad 1119.611798 dualbound = 3293735.578466, lowerbound=1252321.578466, norm of subgrad 36.558513 stepsize= 1.000000
+dualbound = 3293820.013216, lowerbound=1259343.013216, norm of subgrad 1122.779592 dualbound = 3293820.013216, lowerbound=1259343.013216, norm of subgrad 37.086854 stepsize= 1.000000
+dualbound = 3293912.473120, lowerbound=1246989.473120, norm of subgrad 1117.258911 dualbound = 3293912.473120, lowerbound=1246989.473120, norm of subgrad 37.019723 stepsize= 1.000000
+dualbound = 3293989.495774, lowerbound=1255473.495774, norm of subgrad 1121.048837 dualbound = 3293989.495774, lowerbound=1255473.495774, norm of subgrad 36.797047 stepsize= 1.000000
+dualbound = 3294091.466141, lowerbound=1251833.466141, norm of subgrad 1119.431760 dualbound = 3294091.466141, lowerbound=1251833.466141, norm of subgrad 37.362687 stepsize= 1.000000
+dualbound = 3294169.761936, lowerbound=1255994.761936, norm of subgrad 1121.300032 dualbound = 3294169.761936, lowerbound=1255994.761936, norm of subgrad 37.380420 stepsize= 1.000000
+dualbound = 3294255.348578, lowerbound=1256116.348578, norm of subgrad 1121.372083 dualbound = 3294255.348578, lowerbound=1256116.348578, norm of subgrad 38.007718 stepsize= 1.000000
+dualbound = 3294335.224481, lowerbound=1254227.224481, norm of subgrad 1120.534348 dualbound = 3294335.224481, lowerbound=1254227.224481, norm of subgrad 38.077236 stepsize= 1.000000
+dualbound = 3294452.542173, lowerbound=1252985.542173, norm of subgrad 1119.959616 dualbound = 3294452.542173, lowerbound=1252985.542173, norm of subgrad 37.964690 stepsize= 1.000000
+dualbound = 3294554.640390, lowerbound=1256164.640390, norm of subgrad 1121.357053 dualbound = 3294554.640390, lowerbound=1256164.640390, norm of subgrad 37.136212 stepsize= 1.000000
+dualbound = 3294655.970923, lowerbound=1252347.970923, norm of subgrad 1119.668688 dualbound = 3294655.970923, lowerbound=1252347.970923, norm of subgrad 37.567679 stepsize= 1.000000
+dualbound = 3294721.001917, lowerbound=1253254.001917, norm of subgrad 1120.083480 dualbound = 3294721.001917, lowerbound=1253254.001917, norm of subgrad 37.390253 stepsize= 1.000000
+dualbound = 3294843.851007, lowerbound=1256241.851007, norm of subgrad 1121.389696 dualbound = 3294843.851007, lowerbound=1256241.851007, norm of subgrad 37.361064 stepsize= 1.000000
+dualbound = 3294929.558144, lowerbound=1254275.558144, norm of subgrad 1120.537174 dualbound = 3294929.558144, lowerbound=1254275.558144, norm of subgrad 37.599297 stepsize= 1.000000
+dualbound = 3295030.200117, lowerbound=1252555.200117, norm of subgrad 1119.731307 dualbound = 3295030.200117, lowerbound=1252555.200117, norm of subgrad 36.655722 stepsize= 1.000000
+dualbound = 3295117.868744, lowerbound=1255809.868744, norm of subgrad 1121.215799 dualbound = 3295117.868744, lowerbound=1255809.868744, norm of subgrad 37.452218 stepsize= 1.000000
+dualbound = 3295208.776833, lowerbound=1253076.776833, norm of subgrad 1120.021329 dualbound = 3295208.776833, lowerbound=1253076.776833, norm of subgrad 38.234907 stepsize= 1.000000
+dualbound = 3295283.074922, lowerbound=1255680.074922, norm of subgrad 1121.166836 dualbound = 3295283.074922, lowerbound=1255680.074922, norm of subgrad 37.540619 stepsize= 1.000000
+dualbound = 3295387.071103, lowerbound=1254071.071103, norm of subgrad 1120.465114 dualbound = 3295387.071103, lowerbound=1254071.071103, norm of subgrad 38.405679 stepsize= 1.000000
+dualbound = 3295489.548554, lowerbound=1252323.548554, norm of subgrad 1119.635007 dualbound = 3295489.548554, lowerbound=1252323.548554, norm of subgrad 36.898204 stepsize= 1.000000
+dualbound = 3295596.289302, lowerbound=1253470.289302, norm of subgrad 1120.167527 dualbound = 3295596.289302, lowerbound=1253470.289302, norm of subgrad 37.573139 stepsize= 1.000000
+dualbound = 3295700.144814, lowerbound=1257505.144814, norm of subgrad 1121.949261 dualbound = 3295700.144814, lowerbound=1257505.144814, norm of subgrad 36.998047 stepsize= 1.000000
+dualbound = 3295777.191962, lowerbound=1254115.191962, norm of subgrad 1120.448657 dualbound = 3295777.191962, lowerbound=1254115.191962, norm of subgrad 36.973601 stepsize= 1.000000
+dualbound = 3295873.058793, lowerbound=1251157.058793, norm of subgrad 1119.144789 dualbound = 3295873.058793, lowerbound=1251157.058793, norm of subgrad 37.734160 stepsize= 1.000000
+dualbound = 3295972.732204, lowerbound=1255037.732204, norm of subgrad 1120.841529 dualbound = 3295972.732204, lowerbound=1255037.732204, norm of subgrad 36.710672 stepsize= 1.000000
+dualbound = 3296080.182489, lowerbound=1257723.182489, norm of subgrad 1122.027265 dualbound = 3296080.182489, lowerbound=1257723.182489, norm of subgrad 36.461628 stepsize= 1.000000
+dualbound = 3296171.866353, lowerbound=1253673.866353, norm of subgrad 1120.223132 dualbound = 3296171.866353, lowerbound=1253673.866353, norm of subgrad 36.299915 stepsize= 1.000000
+dualbound = 3296281.271065, lowerbound=1255583.271065, norm of subgrad 1121.073713 dualbound = 3296281.271065, lowerbound=1255583.271065, norm of subgrad 36.502119 stepsize= 1.000000
+dualbound = 3296347.713307, lowerbound=1253200.713307, norm of subgrad 1120.014604 dualbound = 3296347.713307, lowerbound=1253200.713307, norm of subgrad 36.033904 stepsize= 1.000000
+dualbound = 3296453.532102, lowerbound=1252614.532102, norm of subgrad 1119.779680 dualbound = 3296453.532102, lowerbound=1252614.532102, norm of subgrad 37.387415 stepsize= 1.000000
+dualbound = 3296516.182188, lowerbound=1250621.182188, norm of subgrad 1118.885688 dualbound = 3296516.182188, lowerbound=1250621.182188, norm of subgrad 36.696731 stepsize= 1.000000
+dualbound = 3296622.849888, lowerbound=1257325.849888, norm of subgrad 1121.853310 dualbound = 3296622.849888, lowerbound=1257325.849888, norm of subgrad 36.546788 stepsize= 1.000000
+dualbound = 3296735.202013, lowerbound=1249981.202013, norm of subgrad 1118.592062 dualbound = 3296735.202013, lowerbound=1249981.202013, norm of subgrad 37.139630 stepsize= 1.000000
+dualbound = 3296806.743532, lowerbound=1253273.743532, norm of subgrad 1120.065955 dualbound = 3296806.743532, lowerbound=1253273.743532, norm of subgrad 36.681624 stepsize= 1.000000
+dualbound = 3296912.923622, lowerbound=1253520.923622, norm of subgrad 1120.177630 dualbound = 3296912.923622, lowerbound=1253520.923622, norm of subgrad 37.191129 stepsize= 1.000000
+dualbound = 3297003.456929, lowerbound=1253025.456929, norm of subgrad 1120.015382 dualbound = 3297003.456929, lowerbound=1253025.456929, norm of subgrad 38.723808 stepsize= 1.000000
+dualbound = 3297034.632268, lowerbound=1256931.632268, norm of subgrad 1121.766300 dualbound = 3297034.632268, lowerbound=1256931.632268, norm of subgrad 38.199154 stepsize= 1.000000
+dualbound = 3297170.023707, lowerbound=1253325.023707, norm of subgrad 1120.132592 dualbound = 3297170.023707, lowerbound=1253325.023707, norm of subgrad 38.825139 stepsize= 1.000000
+dualbound = 3297260.422589, lowerbound=1256368.422589, norm of subgrad 1121.493389 dualbound = 3297260.422589, lowerbound=1256368.422589, norm of subgrad 38.332739 stepsize= 1.000000
+dualbound = 3297364.055425, lowerbound=1252742.055425, norm of subgrad 1119.874571 dualbound = 3297364.055425, lowerbound=1252742.055425, norm of subgrad 38.478992 stepsize= 1.000000
+dualbound = 3297445.560534, lowerbound=1259357.560534, norm of subgrad 1122.802993 dualbound = 3297445.560534, lowerbound=1259357.560534, norm of subgrad 37.556692 stepsize= 1.000000
+dualbound = 3297558.470119, lowerbound=1252711.470119, norm of subgrad 1119.843949 dualbound = 3297558.470119, lowerbound=1252711.470119, norm of subgrad 38.103931 stepsize= 1.000000
+dualbound = 3297665.216948, lowerbound=1258351.216948, norm of subgrad 1122.340954 dualbound = 3297665.216948, lowerbound=1258351.216948, norm of subgrad 37.479952 stepsize= 1.000000
+dualbound = 3297777.827945, lowerbound=1252774.827945, norm of subgrad 1119.861522 dualbound = 3297777.827945, lowerbound=1252774.827945, norm of subgrad 37.783740 stepsize= 1.000000
+dualbound = 3297842.182500, lowerbound=1257800.182500, norm of subgrad 1122.097225 dualbound = 3297842.182500, lowerbound=1257800.182500, norm of subgrad 36.964233 stepsize= 1.000000
+dualbound = 3297953.156199, lowerbound=1250077.156199, norm of subgrad 1118.653725 dualbound = 3297953.156199, lowerbound=1250077.156199, norm of subgrad 37.682538 stepsize= 1.000000
+dualbound = 3298034.327592, lowerbound=1259842.327592, norm of subgrad 1123.012612 dualbound = 3298034.327592, lowerbound=1259842.327592, norm of subgrad 37.365377 stepsize= 1.000000
+dualbound = 3298120.916240, lowerbound=1250879.916240, norm of subgrad 1119.002644 dualbound = 3298120.916240, lowerbound=1250879.916240, norm of subgrad 37.061957 stepsize= 1.000000
+dualbound = 3298218.797889, lowerbound=1257385.797889, norm of subgrad 1121.898301 dualbound = 3298218.797889, lowerbound=1257385.797889, norm of subgrad 36.984884 stepsize= 1.000000
+dualbound = 3298346.122034, lowerbound=1255475.122034, norm of subgrad 1121.040642 dualbound = 3298346.122034, lowerbound=1255475.122034, norm of subgrad 37.206507 stepsize= 1.000000
+dualbound = 3298414.213562, lowerbound=1256386.213562, norm of subgrad 1121.445591 dualbound = 3298414.213562, lowerbound=1256386.213562, norm of subgrad 36.360577 stepsize= 1.000000
+dualbound = 3298514.666434, lowerbound=1253076.666434, norm of subgrad 1119.976190 dualbound = 3298514.666434, lowerbound=1253076.666434, norm of subgrad 37.019628 stepsize= 1.000000
+dualbound = 3298624.419524, lowerbound=1256302.419524, norm of subgrad 1121.396192 dualbound = 3298624.419524, lowerbound=1256302.419524, norm of subgrad 36.561634 stepsize= 1.000000
+dualbound = 3298721.888999, lowerbound=1252267.888999, norm of subgrad 1119.628907 dualbound = 3298721.888999, lowerbound=1252267.888999, norm of subgrad 37.396116 stepsize= 1.000000
+dualbound = 3298786.017693, lowerbound=1253228.017693, norm of subgrad 1120.052239 dualbound = 3298786.017693, lowerbound=1253228.017693, norm of subgrad 36.784898 stepsize= 1.000000
+dualbound = 3298907.729107, lowerbound=1254163.729107, norm of subgrad 1120.454697 dualbound = 3298907.729107, lowerbound=1254163.729107, norm of subgrad 37.104062 stepsize= 1.000000
+dualbound = 3298994.191431, lowerbound=1256186.191431, norm of subgrad 1121.359528 dualbound = 3298994.191431, lowerbound=1256186.191431, norm of subgrad 36.707796 stepsize= 1.000000
+dualbound = 3299072.635569, lowerbound=1252031.635569, norm of subgrad 1119.525630 dualbound = 3299072.635569, lowerbound=1252031.635569, norm of subgrad 37.208119 stepsize= 1.000000
+dualbound = 3299180.357245, lowerbound=1256553.357245, norm of subgrad 1121.544184 dualbound = 3299180.357245, lowerbound=1256553.357245, norm of subgrad 37.626077 stepsize= 1.000000
+dualbound = 3299248.020185, lowerbound=1253871.020185, norm of subgrad 1120.389227 dualbound = 3299248.020185, lowerbound=1253871.020185, norm of subgrad 38.323138 stepsize= 1.000000
+dualbound = 3299339.420403, lowerbound=1258137.420403, norm of subgrad 1122.244368 dualbound = 3299339.420403, lowerbound=1258137.420403, norm of subgrad 37.234396 stepsize= 1.000000
+dualbound = 3299450.188632, lowerbound=1253114.188632, norm of subgrad 1120.002763 dualbound = 3299450.188632, lowerbound=1253114.188632, norm of subgrad 37.453548 stepsize= 1.000000
+dualbound = 3299552.541788, lowerbound=1256929.541788, norm of subgrad 1121.736842 dualbound = 3299552.541788, lowerbound=1256929.541788, norm of subgrad 38.292991 stepsize= 1.000000
+dualbound = 3299590.735585, lowerbound=1250604.735585, norm of subgrad 1118.931068 dualbound = 3299590.735585, lowerbound=1250604.735585, norm of subgrad 37.949885 stepsize= 1.000000
+dualbound = 3299717.439043, lowerbound=1256967.439043, norm of subgrad 1121.722086 dualbound = 3299717.439043, lowerbound=1256967.439043, norm of subgrad 37.678952 stepsize= 1.000000
+dualbound = 3299819.035230, lowerbound=1252232.035231, norm of subgrad 1119.605750 dualbound = 3299819.035230, lowerbound=1252232.035231, norm of subgrad 37.237027 stepsize= 1.000000
+dualbound = 3299890.163645, lowerbound=1256823.163645, norm of subgrad 1121.676497 dualbound = 3299890.163645, lowerbound=1256823.163645, norm of subgrad 37.498379 stepsize= 1.000000
+dualbound = 3300011.435125, lowerbound=1256791.435125, norm of subgrad 1121.651655 dualbound = 3300011.435125, lowerbound=1256791.435125, norm of subgrad 37.845363 stepsize= 1.000000
+dualbound = 3300095.873060, lowerbound=1249158.873060, norm of subgrad 1118.257516 dualbound = 3300095.873060, lowerbound=1249158.873060, norm of subgrad 37.754972 stepsize= 1.000000
+dualbound = 3300201.146994, lowerbound=1252252.146994, norm of subgrad 1119.604907 dualbound = 3300201.146994, lowerbound=1252252.146994, norm of subgrad 36.990187 stepsize= 1.000000
+dualbound = 3300295.337714, lowerbound=1252196.337714, norm of subgrad 1119.602312 dualbound = 3300295.337714, lowerbound=1252196.337714, norm of subgrad 37.512541 stepsize= 1.000000
+dualbound = 3300371.147334, lowerbound=1255438.147334, norm of subgrad 1121.051804 dualbound = 3300371.147334, lowerbound=1255438.147334, norm of subgrad 37.347150 stepsize= 1.000000
+dualbound = 3300487.430255, lowerbound=1257889.430255, norm of subgrad 1122.128081 dualbound = 3300487.430255, lowerbound=1257889.430255, norm of subgrad 37.393621 stepsize= 1.000000
+dualbound = 3300585.593165, lowerbound=1254094.593165, norm of subgrad 1120.463115 dualbound = 3300585.593165, lowerbound=1254094.593165, norm of subgrad 37.962652 stepsize= 1.000000
+dualbound = 3300672.946171, lowerbound=1257684.946171, norm of subgrad 1122.039191 dualbound = 3300672.946171, lowerbound=1257684.946171, norm of subgrad 37.072267 stepsize= 1.000000
+dualbound = 3300781.897039, lowerbound=1253894.897039, norm of subgrad 1120.341420 dualbound = 3300781.897039, lowerbound=1253894.897039, norm of subgrad 37.134228 stepsize= 1.000000
+dualbound = 3300851.241022, lowerbound=1258075.241022, norm of subgrad 1122.237605 dualbound = 3300851.241022, lowerbound=1258075.241022, norm of subgrad 37.567858 stepsize= 1.000000
+dualbound = 3300935.069557, lowerbound=1250630.069557, norm of subgrad 1118.892787 dualbound = 3300935.069557, lowerbound=1250630.069557, norm of subgrad 37.078680 stepsize= 1.000000
+dualbound = 3301065.448344, lowerbound=1260685.448344, norm of subgrad 1123.383037 dualbound = 3301065.448344, lowerbound=1260685.448344, norm of subgrad 37.873194 stepsize= 1.000000
+dualbound = 3301149.849862, lowerbound=1253456.849862, norm of subgrad 1120.165992 dualbound = 3301149.849862, lowerbound=1253456.849862, norm of subgrad 37.408575 stepsize= 1.000000
+dualbound = 3301225.497486, lowerbound=1256082.497486, norm of subgrad 1121.360111 dualbound = 3301225.497486, lowerbound=1256082.497486, norm of subgrad 37.969035 stepsize= 1.000000
+dualbound = 3301333.464775, lowerbound=1251504.464775, norm of subgrad 1119.283460 dualbound = 3301333.464775, lowerbound=1251504.464775, norm of subgrad 37.402771 stepsize= 1.000000
+dualbound = 3301403.217300, lowerbound=1252521.217300, norm of subgrad 1119.750962 dualbound = 3301403.217300, lowerbound=1252521.217300, norm of subgrad 37.292795 stepsize= 1.000000
+dualbound = 3301555.952877, lowerbound=1252397.952877, norm of subgrad 1119.667340 dualbound = 3301555.952877, lowerbound=1252397.952877, norm of subgrad 37.546446 stepsize= 1.000000
+dualbound = 3301607.963265, lowerbound=1256117.963265, norm of subgrad 1121.333119 dualbound = 3301607.963265, lowerbound=1256117.963265, norm of subgrad 36.359461 stepsize= 1.000000
+dualbound = 3301747.654838, lowerbound=1260928.654838, norm of subgrad 1123.457901 dualbound = 3301747.654838, lowerbound=1260928.654838, norm of subgrad 36.995832 stepsize= 1.000000
+dualbound = 3301824.353655, lowerbound=1253655.353655, norm of subgrad 1120.225582 dualbound = 3301824.353655, lowerbound=1253655.353655, norm of subgrad 36.423877 stepsize= 1.000000
+dualbound = 3301915.261323, lowerbound=1254078.261323, norm of subgrad 1120.411648 dualbound = 3301915.261323, lowerbound=1254078.261323, norm of subgrad 36.536388 stepsize= 1.000000
+dualbound = 3301984.287867, lowerbound=1255589.287867, norm of subgrad 1121.120104 dualbound = 3301984.287867, lowerbound=1255589.287867, norm of subgrad 37.283060 stepsize= 1.000000
+dualbound = 3302082.235456, lowerbound=1254297.235456, norm of subgrad 1120.527659 dualbound = 3302082.235456, lowerbound=1254297.235456, norm of subgrad 37.188003 stepsize= 1.000000
+dualbound = 3302185.730041, lowerbound=1256543.730041, norm of subgrad 1121.534988 dualbound = 3302185.730041, lowerbound=1256543.730041, norm of subgrad 37.423182 stepsize= 1.000000
+dualbound = 3302297.433781, lowerbound=1254251.433781, norm of subgrad 1120.492050 dualbound = 3302297.433781, lowerbound=1254251.433781, norm of subgrad 36.914817 stepsize= 1.000000
+dualbound = 3302385.723075, lowerbound=1256823.723075, norm of subgrad 1121.662482 dualbound = 3302385.723075, lowerbound=1256823.723075, norm of subgrad 37.299991 stepsize= 1.000000
+dualbound = 3302451.187923, lowerbound=1251223.187923, norm of subgrad 1119.183715 dualbound = 3302451.187923, lowerbound=1251223.187923, norm of subgrad 37.609372 stepsize= 1.000000
+dualbound = 3302542.445042, lowerbound=1255342.445042, norm of subgrad 1121.011349 dualbound = 3302542.445042, lowerbound=1255342.445042, norm of subgrad 37.619903 stepsize= 1.000000
+dualbound = 3302639.186259, lowerbound=1258920.186259, norm of subgrad 1122.631812 dualbound = 3302639.186259, lowerbound=1258920.186259, norm of subgrad 38.454404 stepsize= 1.000000
+dualbound = 3302716.395479, lowerbound=1253591.395479, norm of subgrad 1120.225154 dualbound = 3302716.395479, lowerbound=1253591.395479, norm of subgrad 37.285510 stepsize= 1.000000
+dualbound = 3302853.571663, lowerbound=1256832.571663, norm of subgrad 1121.661523 dualbound = 3302853.571663, lowerbound=1256832.571663, norm of subgrad 37.804447 stepsize= 1.000000
+dualbound = 3302916.434712, lowerbound=1254421.434712, norm of subgrad 1120.579955 dualbound = 3302916.434712, lowerbound=1254421.434712, norm of subgrad 36.617797 stepsize= 1.000000
+dualbound = 3303051.104392, lowerbound=1256097.104392, norm of subgrad 1121.334074 dualbound = 3303051.104392, lowerbound=1256097.104392, norm of subgrad 37.784516 stepsize= 1.000000
+dualbound = 3303109.761709, lowerbound=1252870.761709, norm of subgrad 1119.890067 dualbound = 3303109.761709, lowerbound=1252870.761709, norm of subgrad 36.628641 stepsize= 1.000000
+dualbound = 3303204.472001, lowerbound=1263061.472001, norm of subgrad 1124.456523 dualbound = 3303204.472001, lowerbound=1263061.472001, norm of subgrad 37.890768 stepsize= 1.000000
+dualbound = 3303304.222945, lowerbound=1249114.222945, norm of subgrad 1118.215195 dualbound = 3303304.222945, lowerbound=1249114.222945, norm of subgrad 37.292773 stepsize= 1.000000
+dualbound = 3303392.708447, lowerbound=1259337.708447, norm of subgrad 1122.779011 dualbound = 3303392.708447, lowerbound=1259337.708447, norm of subgrad 37.195235 stepsize= 1.000000
+dualbound = 3303503.460205, lowerbound=1251790.460205, norm of subgrad 1119.396025 dualbound = 3303503.460205, lowerbound=1251790.460205, norm of subgrad 36.983128 stepsize= 1.000000
+dualbound = 3303598.081459, lowerbound=1254457.081459, norm of subgrad 1120.586044 dualbound = 3303598.081459, lowerbound=1254457.081459, norm of subgrad 36.750799 stepsize= 1.000000
+dualbound = 3303679.813109, lowerbound=1256282.813109, norm of subgrad 1121.426686 dualbound = 3303679.813109, lowerbound=1256282.813109, norm of subgrad 37.372873 stepsize= 1.000000
+dualbound = 3303779.332896, lowerbound=1256872.332896, norm of subgrad 1121.671669 dualbound = 3303779.332896, lowerbound=1256872.332896, norm of subgrad 37.074517 stepsize= 1.000000
+dualbound = 3303867.562653, lowerbound=1252005.562653, norm of subgrad 1119.488527 dualbound = 3303867.562653, lowerbound=1252005.562653, norm of subgrad 36.568152 stepsize= 1.000000
+dualbound = 3303973.145388, lowerbound=1259443.145388, norm of subgrad 1122.834425 dualbound = 3303973.145388, lowerbound=1259443.145388, norm of subgrad 37.677350 stepsize= 1.000000
+dualbound = 3304028.141930, lowerbound=1250990.141930, norm of subgrad 1119.059043 dualbound = 3304028.141930, lowerbound=1250990.141930, norm of subgrad 36.851005 stepsize= 1.000000
+dualbound = 3304146.859670, lowerbound=1261660.859670, norm of subgrad 1123.811310 dualbound = 3304146.859670, lowerbound=1261660.859670, norm of subgrad 37.546208 stepsize= 1.000000
+dualbound = 3304245.938332, lowerbound=1246568.938332, norm of subgrad 1117.072038 dualbound = 3304245.938332, lowerbound=1246568.938332, norm of subgrad 37.149410 stepsize= 1.000000
+dualbound = 3304345.107666, lowerbound=1259420.107666, norm of subgrad 1122.818377 dualbound = 3304345.107666, lowerbound=1259420.107666, norm of subgrad 37.418837 stepsize= 1.000000
+dualbound = 3304406.153896, lowerbound=1254432.153896, norm of subgrad 1120.604370 dualbound = 3304406.153896, lowerbound=1254432.153896, norm of subgrad 37.189330 stepsize= 1.000000
+dualbound = 3304522.922585, lowerbound=1256427.922585, norm of subgrad 1121.495396 dualbound = 3304522.922585, lowerbound=1256427.922585, norm of subgrad 37.957459 stepsize= 1.000000
+dualbound = 3304610.522378, lowerbound=1251116.522378, norm of subgrad 1119.094957 dualbound = 3304610.522378, lowerbound=1251116.522378, norm of subgrad 36.668785 stepsize= 1.000000
+dualbound = 3304729.145496, lowerbound=1256207.145496, norm of subgrad 1121.373330 dualbound = 3304729.145496, lowerbound=1256207.145496, norm of subgrad 37.277649 stepsize= 1.000000
+dualbound = 3304793.461508, lowerbound=1251690.461508, norm of subgrad 1119.375478 dualbound = 3304793.461508, lowerbound=1251690.461508, norm of subgrad 37.085253 stepsize= 1.000000
+dualbound = 3304922.952684, lowerbound=1258667.952684, norm of subgrad 1122.474923 dualbound = 3304922.952684, lowerbound=1258667.952684, norm of subgrad 37.569817 stepsize= 1.000000
+dualbound = 3304985.749640, lowerbound=1245933.749640, norm of subgrad 1116.791274 dualbound = 3304985.749640, lowerbound=1245933.749640, norm of subgrad 36.766791 stepsize= 1.000000
+dualbound = 3305099.061323, lowerbound=1258516.061323, norm of subgrad 1122.400134 dualbound = 3305099.061323, lowerbound=1258516.061323, norm of subgrad 37.139086 stepsize= 1.000000
+dualbound = 3305178.399271, lowerbound=1255978.399271, norm of subgrad 1121.274453 dualbound = 3305178.399271, lowerbound=1255978.399271, norm of subgrad 36.842068 stepsize= 1.000000
+dualbound = 3305271.905909, lowerbound=1260983.905909, norm of subgrad 1123.548800 dualbound = 3305271.905909, lowerbound=1260983.905909, norm of subgrad 38.360222 stepsize= 1.000000
+dualbound = 3305333.522564, lowerbound=1261375.522564, norm of subgrad 1123.712829 dualbound = 3305333.522564, lowerbound=1261375.522564, norm of subgrad 37.637968 stepsize= 1.000000
+dualbound = 3305447.925962, lowerbound=1257294.925962, norm of subgrad 1121.879194 dualbound = 3305447.925962, lowerbound=1257294.925962, norm of subgrad 37.847106 stepsize= 1.000000
+dualbound = 3305553.806153, lowerbound=1253712.806153, norm of subgrad 1120.266400 dualbound = 3305553.806153, lowerbound=1253712.806153, norm of subgrad 37.281097 stepsize= 1.000000
+dualbound = 3305647.473358, lowerbound=1253802.473358, norm of subgrad 1120.293923 dualbound = 3305647.473358, lowerbound=1253802.473358, norm of subgrad 36.737817 stepsize= 1.000000
+dualbound = 3305748.725567, lowerbound=1252151.725567, norm of subgrad 1119.580603 dualbound = 3305748.725567, lowerbound=1252151.725567, norm of subgrad 37.553325 stepsize= 1.000000
+dualbound = 3305830.374388, lowerbound=1255580.374388, norm of subgrad 1121.115683 dualbound = 3305830.374388, lowerbound=1255580.374388, norm of subgrad 37.438601 stepsize= 1.000000
+dualbound = 3305910.913142, lowerbound=1255053.913142, norm of subgrad 1120.828673 dualbound = 3305910.913142, lowerbound=1255053.913142, norm of subgrad 35.826509 stepsize= 1.000000
+dualbound = 3306047.422563, lowerbound=1254540.422563, norm of subgrad 1120.620106 dualbound = 3306047.422563, lowerbound=1254540.422563, norm of subgrad 37.222432 stepsize= 1.000000
+dualbound = 3306088.960974, lowerbound=1254780.960974, norm of subgrad 1120.743932 dualbound = 3306088.960974, lowerbound=1254780.960974, norm of subgrad 36.435401 stepsize= 1.000000
+dualbound = 3306198.474658, lowerbound=1252886.474658, norm of subgrad 1119.929228 dualbound = 3306198.474658, lowerbound=1252886.474658, norm of subgrad 38.268965 stepsize= 1.000000
+dualbound = 3306277.120628, lowerbound=1254258.120628, norm of subgrad 1120.504405 dualbound = 3306277.120628, lowerbound=1254258.120628, norm of subgrad 36.751136 stepsize= 1.000000
+dualbound = 3306385.827112, lowerbound=1259908.827112, norm of subgrad 1123.038213 dualbound = 3306385.827112, lowerbound=1259908.827112, norm of subgrad 37.612584 stepsize= 1.000000
+dualbound = 3306471.196557, lowerbound=1252350.196557, norm of subgrad 1119.678613 dualbound = 3306471.196557, lowerbound=1252350.196557, norm of subgrad 37.621396 stepsize= 1.000000
+dualbound = 3306584.161510, lowerbound=1258424.161510, norm of subgrad 1122.369441 dualbound = 3306584.161510, lowerbound=1258424.161510, norm of subgrad 37.442822 stepsize= 1.000000
+dualbound = 3306683.817496, lowerbound=1251155.817496, norm of subgrad 1119.131725 dualbound = 3306683.817496, lowerbound=1251155.817496, norm of subgrad 37.411977 stepsize= 1.000000
+dualbound = 3306754.933910, lowerbound=1259416.933910, norm of subgrad 1122.847244 dualbound = 3306754.933910, lowerbound=1259416.933910, norm of subgrad 37.948866 stepsize= 1.000000
+dualbound = 3306856.270535, lowerbound=1255099.270535, norm of subgrad 1120.872995 dualbound = 3306856.270535, lowerbound=1255099.270535, norm of subgrad 36.855619 stepsize= 1.000000
+dualbound = 3306967.182456, lowerbound=1258471.182456, norm of subgrad 1122.375687 dualbound = 3306967.182456, lowerbound=1258471.182456, norm of subgrad 36.971772 stepsize= 1.000000
+dualbound = 3307047.826812, lowerbound=1253612.826812, norm of subgrad 1120.228917 dualbound = 3307047.826812, lowerbound=1253612.826812, norm of subgrad 37.157023 stepsize= 1.000000
+dualbound = 3307136.805062, lowerbound=1259772.805062, norm of subgrad 1122.990118 dualbound = 3307136.805062, lowerbound=1259772.805062, norm of subgrad 37.722384 stepsize= 1.000000
+dualbound = 3307240.930037, lowerbound=1255910.930037, norm of subgrad 1121.240799 dualbound = 3307240.930037, lowerbound=1255910.930037, norm of subgrad 37.069192 stepsize= 1.000000
+dualbound = 3307318.942516, lowerbound=1259219.942516, norm of subgrad 1122.717214 dualbound = 3307318.942516, lowerbound=1259219.942516, norm of subgrad 36.769722 stepsize= 1.000000
+dualbound = 3307433.387028, lowerbound=1249527.387028, norm of subgrad 1118.388299 dualbound = 3307433.387028, lowerbound=1249527.387028, norm of subgrad 37.140874 stepsize= 1.000000
+dualbound = 3307527.315281, lowerbound=1256454.315281, norm of subgrad 1121.487100 dualbound = 3307527.315281, lowerbound=1256454.315281, norm of subgrad 37.053046 stepsize= 1.000000
+dualbound = 3307604.623346, lowerbound=1256306.623346, norm of subgrad 1121.438640 dualbound = 3307604.623346, lowerbound=1256306.623346, norm of subgrad 37.353823 stepsize= 1.000000
+dualbound = 3307695.124841, lowerbound=1257526.124841, norm of subgrad 1121.969307 dualbound = 3307695.124841, lowerbound=1257526.124841, norm of subgrad 37.141641 stepsize= 1.000000
+dualbound = 3307801.728725, lowerbound=1255414.728725, norm of subgrad 1121.028871 dualbound = 3307801.728725, lowerbound=1255414.728725, norm of subgrad 37.384541 stepsize= 1.000000
+dualbound = 3307884.138844, lowerbound=1256120.138844, norm of subgrad 1121.326954 dualbound = 3307884.138844, lowerbound=1256120.138844, norm of subgrad 36.556944 stepsize= 1.000000
+dualbound = 3307980.888097, lowerbound=1252695.888097, norm of subgrad 1119.806183 dualbound = 3307980.888097, lowerbound=1252695.888097, norm of subgrad 36.969572 stepsize= 1.000000
+dualbound = 3308081.453009, lowerbound=1255964.453009, norm of subgrad 1121.278936 dualbound = 3308081.453009, lowerbound=1255964.453009, norm of subgrad 37.450833 stepsize= 1.000000
+dualbound = 3308158.596296, lowerbound=1254181.596296, norm of subgrad 1120.480967 dualbound = 3308158.596296, lowerbound=1254181.596296, norm of subgrad 37.055948 stepsize= 1.000000
+dualbound = 3308261.739092, lowerbound=1255004.739092, norm of subgrad 1120.827257 dualbound = 3308261.739092, lowerbound=1255004.739092, norm of subgrad 36.771494 stepsize= 1.000000
+dualbound = 3308358.105619, lowerbound=1257714.105619, norm of subgrad 1122.060206 dualbound = 3308358.105619, lowerbound=1257714.105619, norm of subgrad 37.434830 stepsize= 1.000000
+dualbound = 3308462.470654, lowerbound=1256840.470654, norm of subgrad 1121.658357 dualbound = 3308462.470654, lowerbound=1256840.470654, norm of subgrad 37.166719 stepsize= 1.000000
+dualbound = 3308514.639735, lowerbound=1257097.639735, norm of subgrad 1121.789927 dualbound = 3308514.639735, lowerbound=1257097.639735, norm of subgrad 36.975250 stepsize= 1.000000
+dualbound = 3308634.983739, lowerbound=1253927.983739, norm of subgrad 1120.355294 dualbound = 3308634.983739, lowerbound=1253927.983739, norm of subgrad 37.260489 stepsize= 1.000000
+dualbound = 3308745.420285, lowerbound=1256709.420285, norm of subgrad 1121.578540 dualbound = 3308745.420285, lowerbound=1256709.420285, norm of subgrad 36.598313 stepsize= 1.000000
+dualbound = 3308836.714826, lowerbound=1257953.714826, norm of subgrad 1122.170092 dualbound = 3308836.714826, lowerbound=1257953.714826, norm of subgrad 37.460573 stepsize= 1.000000
+dualbound = 3308908.418463, lowerbound=1252703.418463, norm of subgrad 1119.811332 dualbound = 3308908.418463, lowerbound=1252703.418463, norm of subgrad 36.683833 stepsize= 1.000000
+dualbound = 3309006.027313, lowerbound=1256814.027313, norm of subgrad 1121.670641 dualbound = 3309006.027313, lowerbound=1256814.027313, norm of subgrad 37.796942 stepsize= 1.000000
+dualbound = 3309077.377413, lowerbound=1256831.377413, norm of subgrad 1121.661436 dualbound = 3309077.377413, lowerbound=1256831.377413, norm of subgrad 36.937110 stepsize= 1.000000
+dualbound = 3309207.303313, lowerbound=1260452.303313, norm of subgrad 1123.268135 dualbound = 3309207.303313, lowerbound=1260452.303313, norm of subgrad 37.535662 stepsize= 1.000000
+dualbound = 3309266.096726, lowerbound=1257824.096726, norm of subgrad 1122.090949 dualbound = 3309266.096726, lowerbound=1257824.096726, norm of subgrad 36.370227 stepsize= 1.000000
+dualbound = 3309378.418980, lowerbound=1253372.418980, norm of subgrad 1120.117592 dualbound = 3309378.418980, lowerbound=1253372.418980, norm of subgrad 37.460943 stepsize= 1.000000
+dualbound = 3309462.508938, lowerbound=1261729.508938, norm of subgrad 1123.840073 dualbound = 3309462.508938, lowerbound=1261729.508938, norm of subgrad 37.028232 stepsize= 1.000000
+dualbound = 3309573.964203, lowerbound=1255643.964203, norm of subgrad 1121.129325 dualbound = 3309573.964203, lowerbound=1255643.964203, norm of subgrad 37.395926 stepsize= 1.000000
+dualbound = 3309647.626822, lowerbound=1251145.626822, norm of subgrad 1119.108407 dualbound = 3309647.626822, lowerbound=1251145.626822, norm of subgrad 36.491953 stepsize= 1.000000
+dualbound = 3309742.175437, lowerbound=1254971.175437, norm of subgrad 1120.862692 dualbound = 3309742.175437, lowerbound=1254971.175437, norm of subgrad 38.164756 stepsize= 1.000000
+dualbound = 3309829.502987, lowerbound=1255884.502987, norm of subgrad 1121.229460 dualbound = 3309829.502987, lowerbound=1255884.502987, norm of subgrad 36.855496 stepsize= 1.000000
+dualbound = 3309935.000760, lowerbound=1250232.000760, norm of subgrad 1118.713547 dualbound = 3309935.000760, lowerbound=1250232.000760, norm of subgrad 37.329583 stepsize= 1.000000
+dualbound = 3310027.762181, lowerbound=1258164.762181, norm of subgrad 1122.269470 dualbound = 3310027.762181, lowerbound=1258164.762181, norm of subgrad 37.639891 stepsize= 1.000000
+dualbound = 3310079.600831, lowerbound=1256134.600831, norm of subgrad 1121.361494 dualbound = 3310079.600831, lowerbound=1256134.600831, norm of subgrad 36.997820 stepsize= 1.000000
+dualbound = 3310214.281276, lowerbound=1260490.281276, norm of subgrad 1123.255662 dualbound = 3310214.281276, lowerbound=1260490.281276, norm of subgrad 36.710767 stepsize= 1.000000
+dualbound = 3310335.884606, lowerbound=1253813.884606, norm of subgrad 1120.295445 dualbound = 3310335.884606, lowerbound=1253813.884606, norm of subgrad 37.008152 stepsize= 1.000000
+dualbound = 3310386.761126, lowerbound=1253107.761126, norm of subgrad 1120.011500 dualbound = 3310386.761126, lowerbound=1253107.761126, norm of subgrad 36.998331 stepsize= 1.000000
+dualbound = 3310481.069353, lowerbound=1258275.069353, norm of subgrad 1122.302575 dualbound = 3310481.069353, lowerbound=1258275.069353, norm of subgrad 37.179406 stepsize= 1.000000
+dualbound = 3310565.076937, lowerbound=1254695.076937, norm of subgrad 1120.698923 dualbound = 3310565.076937, lowerbound=1254695.076937, norm of subgrad 36.810428 stepsize= 1.000000
+dualbound = 3310700.838208, lowerbound=1257027.838208, norm of subgrad 1121.726722 dualbound = 3310700.838208, lowerbound=1257027.838208, norm of subgrad 37.131675 stepsize= 1.000000
+dualbound = 3310755.981994, lowerbound=1257641.981994, norm of subgrad 1122.032968 dualbound = 3310755.981994, lowerbound=1257641.981994, norm of subgrad 37.028959 stepsize= 1.000000
+dualbound = 3310869.686251, lowerbound=1255719.686251, norm of subgrad 1121.148378 dualbound = 3310869.686251, lowerbound=1255719.686251, norm of subgrad 36.982486 stepsize= 1.000000
+dualbound = 3310962.065684, lowerbound=1254825.065684, norm of subgrad 1120.753794 dualbound = 3310962.065684, lowerbound=1254825.065684, norm of subgrad 36.829057 stepsize= 1.000000
+dualbound = 3311069.971410, lowerbound=1256300.971410, norm of subgrad 1121.436566 dualbound = 3311069.971410, lowerbound=1256300.971410, norm of subgrad 37.774406 stepsize= 1.000000
+dualbound = 3311140.526676, lowerbound=1254881.526676, norm of subgrad 1120.754891 dualbound = 3311140.526676, lowerbound=1254881.526676, norm of subgrad 35.784847 stepsize= 1.000000
+dualbound = 3311287.860093, lowerbound=1257593.860093, norm of subgrad 1121.976765 dualbound = 3311287.860093, lowerbound=1257593.860093, norm of subgrad 37.220067 stepsize= 1.000000
+dualbound = 3311333.791521, lowerbound=1255635.791521, norm of subgrad 1121.127018 dualbound = 3311333.791521, lowerbound=1255635.791521, norm of subgrad 36.550396 stepsize= 1.000000
+dualbound = 3311418.326716, lowerbound=1255601.326716, norm of subgrad 1121.137069 dualbound = 3311418.326716, lowerbound=1255601.326716, norm of subgrad 37.835634 stepsize= 1.000000
+dualbound = 3311520.599371, lowerbound=1254873.599371, norm of subgrad 1120.781245 dualbound = 3311520.599371, lowerbound=1254873.599371, norm of subgrad 37.138560 stepsize= 1.000000
+dualbound = 3311621.546773, lowerbound=1256995.546773, norm of subgrad 1121.732832 dualbound = 3311621.546773, lowerbound=1256995.546773, norm of subgrad 37.281998 stepsize= 1.000000
+dualbound = 3311723.678766, lowerbound=1258317.678766, norm of subgrad 1122.296609 dualbound = 3311723.678766, lowerbound=1258317.678766, norm of subgrad 36.525772 stepsize= 1.000000
+dualbound = 3311802.559138, lowerbound=1255326.559138, norm of subgrad 1120.984192 dualbound = 3311802.559138, lowerbound=1255326.559138, norm of subgrad 36.849428 stepsize= 1.000000
+dualbound = 3311887.073617, lowerbound=1254339.073617, norm of subgrad 1120.537850 dualbound = 3311887.073617, lowerbound=1254339.073617, norm of subgrad 36.749347 stepsize= 1.000000
+dualbound = 3311985.975040, lowerbound=1255488.975040, norm of subgrad 1121.083839 dualbound = 3311985.975040, lowerbound=1255488.975040, norm of subgrad 37.932854 stepsize= 1.000000
+dualbound = 3312068.567939, lowerbound=1261440.567939, norm of subgrad 1123.704840 dualbound = 3312068.567939, lowerbound=1261440.567939, norm of subgrad 36.804795 stepsize= 1.000000
+dualbound = 3312177.418230, lowerbound=1251946.418230, norm of subgrad 1119.466578 dualbound = 3312177.418230, lowerbound=1251946.418230, norm of subgrad 36.984460 stepsize= 1.000000
+dualbound = 3312272.543565, lowerbound=1255089.543565, norm of subgrad 1120.900773 dualbound = 3312272.543565, lowerbound=1255089.543565, norm of subgrad 37.737585 stepsize= 1.000000
+dualbound = 3312329.002117, lowerbound=1253555.002117, norm of subgrad 1120.181236 dualbound = 3312329.002117, lowerbound=1253555.002117, norm of subgrad 36.158796 stepsize= 1.000000
+dualbound = 3312477.070573, lowerbound=1257419.070573, norm of subgrad 1121.895749 dualbound = 3312477.070573, lowerbound=1257419.070573, norm of subgrad 37.135811 stepsize= 1.000000
+dualbound = 3312555.264715, lowerbound=1255693.264715, norm of subgrad 1121.121878 dualbound = 3312555.264715, lowerbound=1255693.264715, norm of subgrad 36.044336 stepsize= 1.000000
+dualbound = 3312641.395527, lowerbound=1256789.395527, norm of subgrad 1121.640493 dualbound = 3312641.395527, lowerbound=1256789.395527, norm of subgrad 37.069270 stepsize= 1.000000
+dualbound = 3312709.906329, lowerbound=1256578.906329, norm of subgrad 1121.540863 dualbound = 3312709.906329, lowerbound=1256578.906329, norm of subgrad 36.653933 stepsize= 1.000000
+dualbound = 3312805.394554, lowerbound=1255777.394554, norm of subgrad 1121.190169 dualbound = 3312805.394554, lowerbound=1255777.394554, norm of subgrad 37.222147 stepsize= 1.000000
+dualbound = 3312903.034697, lowerbound=1258637.034697, norm of subgrad 1122.465605 dualbound = 3312903.034697, lowerbound=1258637.034697, norm of subgrad 37.277877 stepsize= 1.000000
+dualbound = 3312984.565427, lowerbound=1262589.565427, norm of subgrad 1124.260897 dualbound = 3312984.565427, lowerbound=1262589.565427, norm of subgrad 38.138311 stepsize= 1.000000
+dualbound = 3313078.632641, lowerbound=1253626.632641, norm of subgrad 1120.261859 dualbound = 3313078.632641, lowerbound=1253626.632641, norm of subgrad 38.132233 stepsize= 1.000000
+dualbound = 3313156.328361, lowerbound=1254880.328361, norm of subgrad 1120.806106 dualbound = 3313156.328361, lowerbound=1254880.328361, norm of subgrad 37.465927 stepsize= 1.000000
+dualbound = 3313282.392016, lowerbound=1256432.392016, norm of subgrad 1121.483567 dualbound = 3313282.392016, lowerbound=1256432.392016, norm of subgrad 37.670461 stepsize= 1.000000
+dualbound = 3313388.508624, lowerbound=1259432.508624, norm of subgrad 1122.797626 dualbound = 3313388.508624, lowerbound=1259432.508624, norm of subgrad 36.716707 stepsize= 1.000000
+dualbound = 3313468.073500, lowerbound=1252812.073500, norm of subgrad 1119.867882 dualbound = 3313468.073500, lowerbound=1252812.073500, norm of subgrad 37.034644 stepsize= 1.000000
+dualbound = 3313559.836099, lowerbound=1257344.836099, norm of subgrad 1121.874251 dualbound = 3313559.836099, lowerbound=1257344.836099, norm of subgrad 36.725503 stepsize= 1.000000
+dualbound = 3313666.110788, lowerbound=1255274.110788, norm of subgrad 1120.959014 dualbound = 3313666.110788, lowerbound=1255274.110788, norm of subgrad 37.165504 stepsize= 1.000000
+dualbound = 3313748.733643, lowerbound=1254939.733643, norm of subgrad 1120.808964 dualbound = 3313748.733643, lowerbound=1254939.733643, norm of subgrad 36.818784 stepsize= 1.000000
+dualbound = 3313854.715285, lowerbound=1256335.715285, norm of subgrad 1121.453394 dualbound = 3313854.715285, lowerbound=1256335.715285, norm of subgrad 37.788644 stepsize= 1.000000
+dualbound = 3313925.326176, lowerbound=1253051.326176, norm of subgrad 1119.967556 dualbound = 3313925.326176, lowerbound=1253051.326176, norm of subgrad 36.696197 stepsize= 1.000000
+dualbound = 3314024.690135, lowerbound=1262581.690135, norm of subgrad 1124.239605 dualbound = 3314024.690135, lowerbound=1262581.690135, norm of subgrad 37.846585 stepsize= 1.000000
+dualbound = 3314108.314525, lowerbound=1252421.314525, norm of subgrad 1119.667948 dualbound = 3314108.314525, lowerbound=1252421.314525, norm of subgrad 36.312868 stepsize= 1.000000
+dualbound = 3314235.399517, lowerbound=1259786.399517, norm of subgrad 1122.995280 dualbound = 3314235.399517, lowerbound=1259786.399517, norm of subgrad 38.197971 stepsize= 1.000000
+dualbound = 3314274.404487, lowerbound=1257456.404487, norm of subgrad 1121.936899 dualbound = 3314274.404487, lowerbound=1257456.404487, norm of subgrad 36.400618 stepsize= 1.000000
+dualbound = 3314420.742993, lowerbound=1257486.742993, norm of subgrad 1121.937495 dualbound = 3314420.742993, lowerbound=1257486.742993, norm of subgrad 37.461160 stepsize= 1.000000
+dualbound = 3314491.487290, lowerbound=1256758.487290, norm of subgrad 1121.601305 dualbound = 3314491.487290, lowerbound=1256758.487290, norm of subgrad 36.079694 stepsize= 1.000000
+dualbound = 3314608.947861, lowerbound=1255834.947861, norm of subgrad 1121.213605 dualbound = 3314608.947861, lowerbound=1255834.947861, norm of subgrad 37.449440 stepsize= 1.000000
+dualbound = 3314673.870146, lowerbound=1255183.870146, norm of subgrad 1120.913855 dualbound = 3314673.870146, lowerbound=1255183.870146, norm of subgrad 36.454386 stepsize= 1.000000
+dualbound = 3314785.689338, lowerbound=1259148.689338, norm of subgrad 1122.689489 dualbound = 3314785.689338, lowerbound=1259148.689338, norm of subgrad 37.347278 stepsize= 1.000000
+dualbound = 3314850.235493, lowerbound=1253594.235493, norm of subgrad 1120.207675 dualbound = 3314850.235493, lowerbound=1253594.235493, norm of subgrad 36.545125 stepsize= 1.000000
+dualbound = 3314946.741449, lowerbound=1259530.741449, norm of subgrad 1122.888125 dualbound = 3314946.741449, lowerbound=1259530.741449, norm of subgrad 37.993499 stepsize= 1.000000
+dualbound = 3315042.315019, lowerbound=1252215.315019, norm of subgrad 1119.585332 dualbound = 3315042.315019, lowerbound=1252215.315019, norm of subgrad 36.763753 stepsize= 1.000000
+dualbound = 3315181.200200, lowerbound=1255225.200200, norm of subgrad 1120.906865 dualbound = 3315181.200200, lowerbound=1255225.200200, norm of subgrad 36.686308 stepsize= 1.000000
+dualbound = 3315227.171283, lowerbound=1257776.171283, norm of subgrad 1122.096774 dualbound = 3315227.171283, lowerbound=1257776.171283, norm of subgrad 37.026627 stepsize= 1.000000
+dualbound = 3315320.140453, lowerbound=1256160.140453, norm of subgrad 1121.369315 dualbound = 3315320.140453, lowerbound=1256160.140453, norm of subgrad 37.442879 stepsize= 1.000000
+dualbound = 3315399.464916, lowerbound=1255704.464916, norm of subgrad 1121.144712 dualbound = 3315399.464916, lowerbound=1255704.464916, norm of subgrad 36.610442 stepsize= 1.000000
+dualbound = 3315544.253955, lowerbound=1256795.253955, norm of subgrad 1121.631069 dualbound = 3315544.253955, lowerbound=1256795.253955, norm of subgrad 37.493853 stepsize= 1.000000
+dualbound = 3315603.416820, lowerbound=1257845.416820, norm of subgrad 1122.120055 dualbound = 3315603.416820, lowerbound=1257845.416820, norm of subgrad 36.975166 stepsize= 1.000000
+dualbound = 3315701.649748, lowerbound=1259255.649748, norm of subgrad 1122.711294 dualbound = 3315701.649748, lowerbound=1259255.649748, norm of subgrad 36.376269 stepsize= 1.000000
+dualbound = 3315819.079598, lowerbound=1254167.079598, norm of subgrad 1120.455300 dualbound = 3315819.079598, lowerbound=1254167.079598, norm of subgrad 37.019317 stepsize= 1.000000
+dualbound = 3315887.911418, lowerbound=1255976.911418, norm of subgrad 1121.277357 dualbound = 3315887.911418, lowerbound=1255976.911418, norm of subgrad 36.808040 stepsize= 1.000000
+dualbound = 3315984.925274, lowerbound=1257028.925274, norm of subgrad 1121.713388 dualbound = 3315984.925274, lowerbound=1257028.925274, norm of subgrad 36.180297 stepsize= 1.000000
+dualbound = 3316096.401227, lowerbound=1259731.401227, norm of subgrad 1122.922705 dualbound = 3316096.401227, lowerbound=1259731.401227, norm of subgrad 36.544164 stepsize= 1.000000
+dualbound = 3316185.353257, lowerbound=1257234.353257, norm of subgrad 1121.832587 dualbound = 3316185.353257, lowerbound=1257234.353257, norm of subgrad 36.918180 stepsize= 1.000000
+dualbound = 3316222.119441, lowerbound=1259561.119441, norm of subgrad 1122.915010 dualbound = 3316222.119441, lowerbound=1259561.119441, norm of subgrad 37.600082 stepsize= 1.000000
+dualbound = 3316324.940172, lowerbound=1254715.940172, norm of subgrad 1120.712693 dualbound = 3316324.940172, lowerbound=1254715.940172, norm of subgrad 37.199741 stepsize= 1.000000
+dualbound = 3316440.172807, lowerbound=1254205.172807, norm of subgrad 1120.462482 dualbound = 3316440.172807, lowerbound=1254205.172807, norm of subgrad 36.691043 stepsize= 1.000000
+dualbound = 3316538.416812, lowerbound=1257228.416812, norm of subgrad 1121.824147 dualbound = 3316538.416812, lowerbound=1257228.416812, norm of subgrad 36.867927 stepsize= 1.000000
+dualbound = 3316618.498998, lowerbound=1256633.498998, norm of subgrad 1121.589720 dualbound = 3316618.498998, lowerbound=1256633.498998, norm of subgrad 37.551061 stepsize= 1.000000
+dualbound = 3316712.999227, lowerbound=1258172.999227, norm of subgrad 1122.269130 dualbound = 3316712.999227, lowerbound=1258172.999227, norm of subgrad 37.543311 stepsize= 1.000000
+dualbound = 3316819.427123, lowerbound=1255007.427123, norm of subgrad 1120.852099 dualbound = 3316819.427123, lowerbound=1255007.427123, norm of subgrad 37.529027 stepsize= 1.000000
+dualbound = 3316895.862232, lowerbound=1255874.862232, norm of subgrad 1121.225607 dualbound = 3316895.862232, lowerbound=1255874.862232, norm of subgrad 36.721044 stepsize= 1.000000
+dualbound = 3317015.304245, lowerbound=1253604.304245, norm of subgrad 1120.205028 dualbound = 3317015.304245, lowerbound=1253604.304245, norm of subgrad 37.073468 stepsize= 1.000000
+dualbound = 3317084.792268, lowerbound=1261813.792268, norm of subgrad 1123.876680 dualbound = 3317084.792268, lowerbound=1261813.792268, norm of subgrad 36.803370 stepsize= 1.000000
+dualbound = 3317169.429172, lowerbound=1257953.429172, norm of subgrad 1122.194916 dualbound = 3317169.429172, lowerbound=1257953.429172, norm of subgrad 38.113474 stepsize= 1.000000
+dualbound = 3317254.839738, lowerbound=1259468.839738, norm of subgrad 1122.831617 dualbound = 3317254.839738, lowerbound=1259468.839738, norm of subgrad 36.978515 stepsize= 1.000000
+dualbound = 3317385.350048, lowerbound=1253632.350048, norm of subgrad 1120.206387 dualbound = 3317385.350048, lowerbound=1253632.350048, norm of subgrad 36.885096 stepsize= 1.000000
+dualbound = 3317470.157697, lowerbound=1257183.157697, norm of subgrad 1121.816900 dualbound = 3317470.157697, lowerbound=1257183.157697, norm of subgrad 37.078399 stepsize= 1.000000
+dualbound = 3317527.469180, lowerbound=1254006.469180, norm of subgrad 1120.425129 dualbound = 3317527.469180, lowerbound=1254006.469180, norm of subgrad 37.460799 stepsize= 1.000000
+dualbound = 3317637.132507, lowerbound=1261750.132507, norm of subgrad 1123.889733 dualbound = 3317637.132507, lowerbound=1261750.132507, norm of subgrad 38.570239 stepsize= 1.000000
+dualbound = 3317739.806792, lowerbound=1253315.806792, norm of subgrad 1120.077590 dualbound = 3317739.806792, lowerbound=1253315.806792, norm of subgrad 36.887319 stepsize= 1.000000
+dualbound = 3317836.653426, lowerbound=1257212.653426, norm of subgrad 1121.814447 dualbound = 3317836.653426, lowerbound=1257212.653426, norm of subgrad 36.767467 stepsize= 1.000000
+dualbound = 3317943.222332, lowerbound=1256137.222332, norm of subgrad 1121.337247 dualbound = 3317943.222332, lowerbound=1256137.222332, norm of subgrad 36.967133 stepsize= 1.000000
+dualbound = 3318040.923460, lowerbound=1257824.923460, norm of subgrad 1122.108695 dualbound = 3318040.923460, lowerbound=1257824.923460, norm of subgrad 37.425942 stepsize= 1.000000
+dualbound = 3318112.441832, lowerbound=1252911.441832, norm of subgrad 1119.910015 dualbound = 3318112.441832, lowerbound=1252911.441832, norm of subgrad 36.858084 stepsize= 1.000000
+dualbound = 3318209.458282, lowerbound=1257989.458282, norm of subgrad 1122.179334 dualbound = 3318209.458282, lowerbound=1257989.458282, norm of subgrad 37.336530 stepsize= 1.000000
+dualbound = 3318289.369287, lowerbound=1257448.369287, norm of subgrad 1121.928415 dualbound = 3318289.369287, lowerbound=1257448.369287, norm of subgrad 36.809116 stepsize= 1.000000
+dualbound = 3318400.854225, lowerbound=1255712.854225, norm of subgrad 1121.188144 dualbound = 3318400.854225, lowerbound=1255712.854225, norm of subgrad 38.229373 stepsize= 1.000000
+dualbound = 3318480.993184, lowerbound=1260183.993184, norm of subgrad 1123.165613 dualbound = 3318480.993184, lowerbound=1260183.993184, norm of subgrad 37.378322 stepsize= 1.000000
+dualbound = 3318565.634489, lowerbound=1255014.634489, norm of subgrad 1120.849961 dualbound = 3318565.634489, lowerbound=1255014.634489, norm of subgrad 37.076155 stepsize= 1.000000
+dualbound = 3318685.408786, lowerbound=1255280.408786, norm of subgrad 1120.952902 dualbound = 3318685.408786, lowerbound=1255280.408786, norm of subgrad 37.077949 stepsize= 1.000000
+dualbound = 3318742.341898, lowerbound=1256482.341898, norm of subgrad 1121.493353 dualbound = 3318742.341898, lowerbound=1256482.341898, norm of subgrad 36.358398 stepsize= 1.000000
+dualbound = 3318860.889241, lowerbound=1257023.889242, norm of subgrad 1121.726299 dualbound = 3318860.889241, lowerbound=1257023.889242, norm of subgrad 36.939780 stepsize= 1.000000
+dualbound = 3318948.198940, lowerbound=1254365.198940, norm of subgrad 1120.569587 dualbound = 3318948.198940, lowerbound=1254365.198940, norm of subgrad 37.393979 stepsize= 1.000000
+dualbound = 3319031.894042, lowerbound=1257587.894042, norm of subgrad 1122.006192 dualbound = 3319031.894042, lowerbound=1257587.894042, norm of subgrad 37.332226 stepsize= 1.000000
+dualbound = 3319139.683578, lowerbound=1256562.683578, norm of subgrad 1121.533184 dualbound = 3319139.683578, lowerbound=1256562.683578, norm of subgrad 37.172430 stepsize= 1.000000
+dualbound = 3319220.702149, lowerbound=1256623.702149, norm of subgrad 1121.576436 dualbound = 3319220.702149, lowerbound=1256623.702149, norm of subgrad 37.296361 stepsize= 1.000000
+dualbound = 3319307.958254, lowerbound=1257797.958254, norm of subgrad 1122.107819 dualbound = 3319307.958254, lowerbound=1257797.958254, norm of subgrad 37.619890 stepsize= 1.000000
+dualbound = 3319401.643134, lowerbound=1256788.643134, norm of subgrad 1121.652193 dualbound = 3319401.643134, lowerbound=1256788.643134, norm of subgrad 37.532451 stepsize= 1.000000
+dualbound = 3319489.301537, lowerbound=1261065.301537, norm of subgrad 1123.535180 dualbound = 3319489.301537, lowerbound=1261065.301537, norm of subgrad 36.792097 stepsize= 1.000000
+dualbound = 3319604.519594, lowerbound=1254873.519594, norm of subgrad 1120.787455 dualbound = 3319604.519594, lowerbound=1254873.519594, norm of subgrad 37.499574 stepsize= 1.000000
+dualbound = 3319685.233791, lowerbound=1260854.233791, norm of subgrad 1123.425669 dualbound = 3319685.233791, lowerbound=1260854.233791, norm of subgrad 36.217595 stepsize= 1.000000
+dualbound = 3319810.974450, lowerbound=1254387.974450, norm of subgrad 1120.555654 dualbound = 3319810.974450, lowerbound=1254387.974450, norm of subgrad 37.185221 stepsize= 1.000000
+dualbound = 3319879.324206, lowerbound=1255107.324206, norm of subgrad 1120.901568 dualbound = 3319879.324206, lowerbound=1255107.324206, norm of subgrad 37.166514 stepsize= 1.000000
+dualbound = 3319971.709374, lowerbound=1257776.709374, norm of subgrad 1122.054682 dualbound = 3319971.709374, lowerbound=1257776.709374, norm of subgrad 36.364614 stepsize= 1.000000
+dualbound = 3320087.744041, lowerbound=1253779.744041, norm of subgrad 1120.291812 dualbound = 3320087.744041, lowerbound=1253779.744041, norm of subgrad 37.283169 stepsize= 1.000000
+dualbound = 3320144.111063, lowerbound=1258614.111063, norm of subgrad 1122.453167 dualbound = 3320144.111063, lowerbound=1258614.111063, norm of subgrad 36.651972 stepsize= 1.000000
+dualbound = 3320233.865864, lowerbound=1254856.865864, norm of subgrad 1120.772888 dualbound = 3320233.865864, lowerbound=1254856.865864, norm of subgrad 36.942588 stepsize= 1.000000
+dualbound = 3320337.029337, lowerbound=1263223.029337, norm of subgrad 1124.499457 dualbound = 3320337.029337, lowerbound=1263223.029337, norm of subgrad 37.137090 stepsize= 1.000000
+dualbound = 3320423.752268, lowerbound=1258331.752268, norm of subgrad 1122.312680 dualbound = 3320423.752268, lowerbound=1258331.752268, norm of subgrad 36.615884 stepsize= 1.000000
+dualbound = 3320521.659093, lowerbound=1258933.659093, norm of subgrad 1122.606636 dualbound = 3320521.659093, lowerbound=1258933.659093, norm of subgrad 37.548726 stepsize= 1.000000
+dualbound = 3320588.583849, lowerbound=1250450.583849, norm of subgrad 1118.786657 dualbound = 3320588.583849, lowerbound=1250450.583849, norm of subgrad 36.054469 stepsize= 1.000000
+dualbound = 3320718.969697, lowerbound=1253948.969697, norm of subgrad 1120.376709 dualbound = 3320718.969697, lowerbound=1253948.969697, norm of subgrad 37.754283 stepsize= 1.000000
+dualbound = 3320773.229102, lowerbound=1258803.229102, norm of subgrad 1122.534289 dualbound = 3320773.229102, lowerbound=1258803.229102, norm of subgrad 36.527516 stepsize= 1.000000
+dualbound = 3320907.756913, lowerbound=1256936.756913, norm of subgrad 1121.702615 dualbound = 3320907.756913, lowerbound=1256936.756913, norm of subgrad 37.610209 stepsize= 1.000000
+dualbound = 3320957.788888, lowerbound=1258342.788888, norm of subgrad 1122.347446 dualbound = 3320957.788888, lowerbound=1258342.788888, norm of subgrad 37.027449 stepsize= 1.000000
+dualbound = 3321084.055497, lowerbound=1256636.055497, norm of subgrad 1121.549845 dualbound = 3321084.055497, lowerbound=1256636.055497, norm of subgrad 36.935980 stepsize= 1.000000
+dualbound = 3321170.935538, lowerbound=1261913.935538, norm of subgrad 1123.904327 dualbound = 3321170.935538, lowerbound=1261913.935538, norm of subgrad 36.522323 stepsize= 1.000000
+dualbound = 3321264.764389, lowerbound=1255355.764389, norm of subgrad 1120.986960 dualbound = 3321264.764389, lowerbound=1255355.764389, norm of subgrad 36.740017 stepsize= 1.000000
+dualbound = 3321368.503855, lowerbound=1257887.503855, norm of subgrad 1122.093804 dualbound = 3321368.503855, lowerbound=1257887.503855, norm of subgrad 36.204136 stepsize= 1.000000
+dualbound = 3321474.748928, lowerbound=1251704.748928, norm of subgrad 1119.354613 dualbound = 3321474.748928, lowerbound=1251704.748928, norm of subgrad 36.827233 stepsize= 1.000000
+dualbound = 3321560.808724, lowerbound=1263850.808724, norm of subgrad 1124.765668 dualbound = 3321560.808724, lowerbound=1263850.808724, norm of subgrad 36.511091 stepsize= 1.000000
+dualbound = 3321649.981517, lowerbound=1253075.981517, norm of subgrad 1119.975438 dualbound = 3321649.981517, lowerbound=1253075.981517, norm of subgrad 36.853396 stepsize= 1.000000
+dualbound = 3321733.550011, lowerbound=1257463.550011, norm of subgrad 1121.954790 dualbound = 3321733.550011, lowerbound=1257463.550011, norm of subgrad 37.450881 stepsize= 1.000000
+dualbound = 3321812.831370, lowerbound=1253793.831370, norm of subgrad 1120.319076 dualbound = 3321812.831370, lowerbound=1253793.831370, norm of subgrad 37.420333 stepsize= 1.000000
+dualbound = 3321894.575143, lowerbound=1258364.575143, norm of subgrad 1122.353142 dualbound = 3321894.575143, lowerbound=1258364.575143, norm of subgrad 37.332878 stepsize= 1.000000
+dualbound = 3321998.823323, lowerbound=1256767.823323, norm of subgrad 1121.612154 dualbound = 3321998.823323, lowerbound=1256767.823323, norm of subgrad 36.745723 stepsize= 1.000000
+dualbound = 3322111.298854, lowerbound=1259427.298854, norm of subgrad 1122.808665 dualbound = 3322111.298854, lowerbound=1259427.298854, norm of subgrad 37.208541 stepsize= 1.000000
+dualbound = 3322177.614410, lowerbound=1255273.614410, norm of subgrad 1120.966375 dualbound = 3322177.614410, lowerbound=1255273.614410, norm of subgrad 36.855333 stepsize= 1.000000
+dualbound = 3322274.510917, lowerbound=1260015.510917, norm of subgrad 1123.085264 dualbound = 3322274.510917, lowerbound=1260015.510917, norm of subgrad 37.441908 stepsize= 1.000000
+dualbound = 3322374.553610, lowerbound=1252950.553610, norm of subgrad 1119.889527 dualbound = 3322374.553610, lowerbound=1252950.553610, norm of subgrad 36.083829 stepsize= 1.000000
+dualbound = 3322484.682528, lowerbound=1258711.682528, norm of subgrad 1122.482375 dualbound = 3322484.682528, lowerbound=1258711.682528, norm of subgrad 36.947651 stepsize= 1.000000
+dualbound = 3322552.866331, lowerbound=1258160.866331, norm of subgrad 1122.243675 dualbound = 3322552.866331, lowerbound=1258160.866331, norm of subgrad 36.581195 stepsize= 1.000000
+dualbound = 3322651.062521, lowerbound=1256643.062521, norm of subgrad 1121.586404 dualbound = 3322651.062521, lowerbound=1256643.062521, norm of subgrad 37.565891 stepsize= 1.000000
+dualbound = 3322726.445285, lowerbound=1261198.445285, norm of subgrad 1123.602886 dualbound = 3322726.445285, lowerbound=1261198.445285, norm of subgrad 36.883367 stepsize= 1.000000
+dualbound = 3322851.904337, lowerbound=1258673.904337, norm of subgrad 1122.442384 dualbound = 3322851.904337, lowerbound=1258673.904337, norm of subgrad 36.448032 stepsize= 1.000000
+dualbound = 3322946.456528, lowerbound=1255641.456528, norm of subgrad 1121.117057 dualbound = 3322946.456528, lowerbound=1255641.456528, norm of subgrad 36.831402 stepsize= 1.000000
+dualbound = 3323024.708705, lowerbound=1254862.708705, norm of subgrad 1120.767018 dualbound = 3323024.708705, lowerbound=1254862.708705, norm of subgrad 36.527417 stepsize= 1.000000
+dualbound = 3323097.107490, lowerbound=1260860.107490, norm of subgrad 1123.459882 dualbound = 3323097.107490, lowerbound=1260860.107490, norm of subgrad 37.072885 stepsize= 1.000000
+dualbound = 3323189.928267, lowerbound=1260371.928267, norm of subgrad 1123.233247 dualbound = 3323189.928267, lowerbound=1260371.928267, norm of subgrad 37.065088 stepsize= 1.000000
+dualbound = 3323278.471610, lowerbound=1258010.471610, norm of subgrad 1122.203400 dualbound = 3323278.471610, lowerbound=1258010.471610, norm of subgrad 37.663555 stepsize= 1.000000
+dualbound = 3323368.468775, lowerbound=1257126.468775, norm of subgrad 1121.792971 dualbound = 3323368.468775, lowerbound=1257126.468775, norm of subgrad 37.188670 stepsize= 1.000000
+dualbound = 3323459.221822, lowerbound=1254826.221822, norm of subgrad 1120.766355 dualbound = 3323459.221822, lowerbound=1254826.221822, norm of subgrad 37.171939 stepsize= 1.000000
+dualbound = 3323546.671804, lowerbound=1260315.671804, norm of subgrad 1123.230462 dualbound = 3323546.671804, lowerbound=1260315.671804, norm of subgrad 37.662315 stepsize= 1.000000
+dualbound = 3323658.506972, lowerbound=1254722.506972, norm of subgrad 1120.693315 dualbound = 3323658.506972, lowerbound=1254722.506972, norm of subgrad 36.644715 stepsize= 1.000000
+dualbound = 3323770.712175, lowerbound=1253965.712175, norm of subgrad 1120.315006 dualbound = 3323770.712175, lowerbound=1253965.712175, norm of subgrad 35.386512 stepsize= 1.000000
+dualbound = 3323867.442659, lowerbound=1257307.442659, norm of subgrad 1121.838867 dualbound = 3323867.442659, lowerbound=1257307.442659, norm of subgrad 36.217820 stepsize= 1.000000
+dualbound = 3323947.443068, lowerbound=1256221.443068, norm of subgrad 1121.372571 dualbound = 3323947.443068, lowerbound=1256221.443068, norm of subgrad 36.537657 stepsize= 1.000000
+dualbound = 3324041.810461, lowerbound=1256427.810461, norm of subgrad 1121.491779 dualbound = 3324041.810461, lowerbound=1256427.810461, norm of subgrad 37.554858 stepsize= 1.000000
+dualbound = 3324110.590898, lowerbound=1262036.590898, norm of subgrad 1123.986028 dualbound = 3324110.590898, lowerbound=1262036.590898, norm of subgrad 37.104992 stepsize= 1.000000
+dualbound = 3324221.503539, lowerbound=1255236.503539, norm of subgrad 1120.953390 dualbound = 3324221.503539, lowerbound=1255236.503539, norm of subgrad 37.562117 stepsize= 1.000000
+dualbound = 3324304.318266, lowerbound=1260986.318266, norm of subgrad 1123.496915 dualbound = 3324304.318266, lowerbound=1260986.318266, norm of subgrad 36.630789 stepsize= 1.000000
+dualbound = 3324384.344555, lowerbound=1254867.344555, norm of subgrad 1120.804775 dualbound = 3324384.344555, lowerbound=1254867.344555, norm of subgrad 37.630125 stepsize= 1.000000
+dualbound = 3324478.018721, lowerbound=1258362.018721, norm of subgrad 1122.333292 dualbound = 3324478.018721, lowerbound=1258362.018721, norm of subgrad 36.927959 stepsize= 1.000000
+dualbound = 3324591.882457, lowerbound=1258098.882457, norm of subgrad 1122.216059 dualbound = 3324591.882457, lowerbound=1258098.882457, norm of subgrad 37.200319 stepsize= 1.000000
+dualbound = 3324650.294205, lowerbound=1256150.294205, norm of subgrad 1121.371167 dualbound = 3324650.294205, lowerbound=1256150.294205, norm of subgrad 37.167348 stepsize= 1.000000
+dualbound = 3324735.837543, lowerbound=1256932.837543, norm of subgrad 1121.747225 dualbound = 3324735.837543, lowerbound=1256932.837543, norm of subgrad 38.334623 stepsize= 1.000000
+dualbound = 3324839.290891, lowerbound=1256059.290891, norm of subgrad 1121.314983 dualbound = 3324839.290891, lowerbound=1256059.290891, norm of subgrad 37.302190 stepsize= 1.000000
+dualbound = 3324923.827983, lowerbound=1262758.827983, norm of subgrad 1124.317494 dualbound = 3324923.827983, lowerbound=1262758.827983, norm of subgrad 37.623624 stepsize= 1.000000
+dualbound = 3325054.482387, lowerbound=1257543.482387, norm of subgrad 1121.981053 dualbound = 3325054.482387, lowerbound=1257543.482387, norm of subgrad 37.797545 stepsize= 1.000000
+dualbound = 3325128.016452, lowerbound=1260943.016452, norm of subgrad 1123.503456 dualbound = 3325128.016452, lowerbound=1260943.016452, norm of subgrad 37.289865 stepsize= 1.000000
+dualbound = 3325221.930684, lowerbound=1259294.930684, norm of subgrad 1122.764415 dualbound = 3325221.930684, lowerbound=1259294.930684, norm of subgrad 37.402062 stepsize= 1.000000
+dualbound = 3325329.246041, lowerbound=1255678.246041, norm of subgrad 1121.117410 dualbound = 3325329.246041, lowerbound=1255678.246041, norm of subgrad 36.514591 stepsize= 1.000000
+dualbound = 3325440.751216, lowerbound=1256382.751216, norm of subgrad 1121.438697 dualbound = 3325440.751216, lowerbound=1256382.751216, norm of subgrad 36.790015 stepsize= 1.000000
+dualbound = 3325499.903752, lowerbound=1260014.903752, norm of subgrad 1123.064515 dualbound = 3325499.903752, lowerbound=1260014.903752, norm of subgrad 36.306370 stepsize= 1.000000
+dualbound = 3325598.643863, lowerbound=1254566.643863, norm of subgrad 1120.631359 dualbound = 3325598.643863, lowerbound=1254566.643863, norm of subgrad 36.697958 stepsize= 1.000000
+dualbound = 3325687.648314, lowerbound=1256479.648314, norm of subgrad 1121.501515 dualbound = 3325687.648314, lowerbound=1256479.648314, norm of subgrad 37.081052 stepsize= 1.000000
+dualbound = 3325794.808501, lowerbound=1254816.808501, norm of subgrad 1120.736280 dualbound = 3325794.808501, lowerbound=1254816.808501, norm of subgrad 36.608198 stepsize= 1.000000
+dualbound = 3325877.999272, lowerbound=1259822.999273, norm of subgrad 1122.964380 dualbound = 3325877.999272, lowerbound=1259822.999273, norm of subgrad 36.182741 stepsize= 1.000000
+dualbound = 3325977.361023, lowerbound=1254918.361023, norm of subgrad 1120.797645 dualbound = 3325977.361023, lowerbound=1254918.361023, norm of subgrad 36.991374 stepsize= 1.000000
+dualbound = 3326048.501307, lowerbound=1257629.501307, norm of subgrad 1121.995321 dualbound = 3326048.501307, lowerbound=1257629.501307, norm of subgrad 36.264863 stepsize= 1.000000
+dualbound = 3326156.890740, lowerbound=1258261.890740, norm of subgrad 1122.281556 dualbound = 3326156.890740, lowerbound=1258261.890740, norm of subgrad 36.910560 stepsize= 1.000000
+dualbound = 3326237.550958, lowerbound=1255282.550958, norm of subgrad 1120.948059 dualbound = 3326237.550958, lowerbound=1255282.550958, norm of subgrad 36.368396 stepsize= 1.000000
+dualbound = 3326329.554350, lowerbound=1259739.554350, norm of subgrad 1122.943700 dualbound = 3326329.554350, lowerbound=1259739.554350, norm of subgrad 36.810371 stepsize= 1.000000
+dualbound = 3326444.459563, lowerbound=1257976.459563, norm of subgrad 1122.134778 dualbound = 3326444.459563, lowerbound=1257976.459563, norm of subgrad 36.399247 stepsize= 1.000000
+dualbound = 3326512.690627, lowerbound=1259820.690627, norm of subgrad 1122.999862 dualbound = 3326512.690627, lowerbound=1259820.690627, norm of subgrad 37.097588 stepsize= 1.000000
+dualbound = 3326590.186562, lowerbound=1256691.186562, norm of subgrad 1121.593592 dualbound = 3326590.186562, lowerbound=1256691.186562, norm of subgrad 36.857780 stepsize= 1.000000
+dualbound = 3326714.439883, lowerbound=1260399.439883, norm of subgrad 1123.222347 dualbound = 3326714.439883, lowerbound=1260399.439883, norm of subgrad 36.786592 stepsize= 1.000000
+dualbound = 3326779.490988, lowerbound=1252541.490988, norm of subgrad 1119.728758 dualbound = 3326779.490988, lowerbound=1252541.490988, norm of subgrad 36.277419 stepsize= 1.000000
+dualbound = 3326911.926789, lowerbound=1260102.926789, norm of subgrad 1123.090347 dualbound = 3326911.926789, lowerbound=1260102.926789, norm of subgrad 36.897640 stepsize= 1.000000
+dualbound = 3326970.439931, lowerbound=1258003.439931, norm of subgrad 1122.190911 dualbound = 3326970.439931, lowerbound=1258003.439931, norm of subgrad 36.979902 stepsize= 1.000000
+dualbound = 3327068.840587, lowerbound=1259339.840587, norm of subgrad 1122.783969 dualbound = 3327068.840587, lowerbound=1259339.840587, norm of subgrad 37.448640 stepsize= 1.000000
+dualbound = 3327146.325721, lowerbound=1256429.325721, norm of subgrad 1121.505384 dualbound = 3327146.325721, lowerbound=1256429.325721, norm of subgrad 37.715847 stepsize= 1.000000
+dualbound = 3327240.914578, lowerbound=1256303.914578, norm of subgrad 1121.428515 dualbound = 3327240.914578, lowerbound=1256303.914578, norm of subgrad 37.317407 stepsize= 1.000000
+dualbound = 3327350.441240, lowerbound=1260196.441240, norm of subgrad 1123.168928 dualbound = 3327350.441240, lowerbound=1260196.441240, norm of subgrad 37.703139 stepsize= 1.000000
+dualbound = 3327444.542520, lowerbound=1252609.542520, norm of subgrad 1119.766736 dualbound = 3327444.542520, lowerbound=1252609.542520, norm of subgrad 36.906656 stepsize= 1.000000
+dualbound = 3327543.902694, lowerbound=1260111.902694, norm of subgrad 1123.113486 dualbound = 3327543.902694, lowerbound=1260111.902694, norm of subgrad 37.031881 stepsize= 1.000000
+dualbound = 3327630.672129, lowerbound=1250580.672129, norm of subgrad 1118.855072 dualbound = 3327630.672129, lowerbound=1250580.672129, norm of subgrad 36.643819 stepsize= 1.000000
+dualbound = 3327722.309914, lowerbound=1261234.309914, norm of subgrad 1123.604606 dualbound = 3327722.309914, lowerbound=1261234.309914, norm of subgrad 36.669303 stepsize= 1.000000
+dualbound = 3327823.272611, lowerbound=1258393.272611, norm of subgrad 1122.323159 dualbound = 3327823.272611, lowerbound=1258393.272611, norm of subgrad 36.289981 stepsize= 1.000000
+dualbound = 3327919.753122, lowerbound=1256457.753122, norm of subgrad 1121.468570 dualbound = 3327919.753122, lowerbound=1256457.753122, norm of subgrad 36.475752 stepsize= 1.000000
+dualbound = 3328018.688691, lowerbound=1258200.688691, norm of subgrad 1122.241814 dualbound = 3328018.688691, lowerbound=1258200.688691, norm of subgrad 36.399664 stepsize= 1.000000
+dualbound = 3328091.125229, lowerbound=1261171.125229, norm of subgrad 1123.587614 dualbound = 3328091.125229, lowerbound=1261171.125229, norm of subgrad 36.748286 stepsize= 1.000000
+dualbound = 3328173.046005, lowerbound=1264058.046005, norm of subgrad 1124.869791 dualbound = 3328173.046005, lowerbound=1264058.046005, norm of subgrad 36.822830 stepsize= 1.000000
+dualbound = 3328283.094485, lowerbound=1258345.094485, norm of subgrad 1122.319070 dualbound = 3328283.094485, lowerbound=1258345.094485, norm of subgrad 36.946562 stepsize= 1.000000
+dualbound = 3328346.288010, lowerbound=1255995.288010, norm of subgrad 1121.283768 dualbound = 3328346.288010, lowerbound=1255995.288010, norm of subgrad 36.676880 stepsize= 1.000000
+dualbound = 3328437.325119, lowerbound=1258175.325119, norm of subgrad 1122.262592 dualbound = 3328437.325119, lowerbound=1258175.325119, norm of subgrad 37.269788 stepsize= 1.000000
+dualbound = 3328526.773224, lowerbound=1257260.773224, norm of subgrad 1121.834111 dualbound = 3328526.773224, lowerbound=1257260.773224, norm of subgrad 36.612131 stepsize= 1.000000
+dualbound = 3328638.628645, lowerbound=1255738.628645, norm of subgrad 1121.152366 dualbound = 3328638.628645, lowerbound=1255738.628645, norm of subgrad 36.821942 stepsize= 1.000000
+dualbound = 3328721.061964, lowerbound=1257447.061964, norm of subgrad 1121.936300 dualbound = 3328721.061964, lowerbound=1257447.061964, norm of subgrad 37.100314 stepsize= 1.000000
+dualbound = 3328823.780220, lowerbound=1261298.780220, norm of subgrad 1123.649314 dualbound = 3328823.780220, lowerbound=1261298.780220, norm of subgrad 37.305740 stepsize= 1.000000
+dualbound = 3328875.907913, lowerbound=1257956.907913, norm of subgrad 1122.168841 dualbound = 3328875.907913, lowerbound=1257956.907913, norm of subgrad 36.852784 stepsize= 1.000000
+dualbound = 3328995.120987, lowerbound=1259742.120987, norm of subgrad 1122.937274 dualbound = 3328995.120987, lowerbound=1259742.120987, norm of subgrad 36.948790 stepsize= 1.000000
+dualbound = 3329078.470033, lowerbound=1253887.470033, norm of subgrad 1120.344353 dualbound = 3329078.470033, lowerbound=1253887.470033, norm of subgrad 36.977683 stepsize= 1.000000
+dualbound = 3329184.277244, lowerbound=1259995.277244, norm of subgrad 1123.060229 dualbound = 3329184.277244, lowerbound=1259995.277244, norm of subgrad 37.078393 stepsize= 1.000000
+dualbound = 3329260.144366, lowerbound=1255093.144366, norm of subgrad 1120.880522 dualbound = 3329260.144366, lowerbound=1255093.144366, norm of subgrad 36.822101 stepsize= 1.000000
+dualbound = 3329370.856352, lowerbound=1258594.856352, norm of subgrad 1122.428107 dualbound = 3329370.856352, lowerbound=1258594.856352, norm of subgrad 36.887830 stepsize= 1.000000
+dualbound = 3329443.863577, lowerbound=1251793.863577, norm of subgrad 1119.391292 dualbound = 3329443.863577, lowerbound=1251793.863577, norm of subgrad 36.276814 stepsize= 1.000000
+dualbound = 3329567.631134, lowerbound=1256475.631134, norm of subgrad 1121.476095 dualbound = 3329567.631134, lowerbound=1256475.631134, norm of subgrad 36.834326 stepsize= 1.000000
+dualbound = 3329644.440408, lowerbound=1258137.440408, norm of subgrad 1122.239921 dualbound = 3329644.440408, lowerbound=1258137.440408, norm of subgrad 36.902700 stepsize= 1.000000
+dualbound = 3329736.845145, lowerbound=1259130.845145, norm of subgrad 1122.674416 dualbound = 3329736.845145, lowerbound=1259130.845145, norm of subgrad 36.870106 stepsize= 1.000000
+dualbound = 3329814.129014, lowerbound=1255366.129014, norm of subgrad 1121.007194 dualbound = 3329814.129014, lowerbound=1255366.129014, norm of subgrad 36.990321 stepsize= 1.000000
+dualbound = 3329910.320109, lowerbound=1260121.320109, norm of subgrad 1123.128808 dualbound = 3329910.320109, lowerbound=1260121.320109, norm of subgrad 37.325475 stepsize= 1.000000
+dualbound = 3330018.493068, lowerbound=1259913.493068, norm of subgrad 1123.017584 dualbound = 3330018.493068, lowerbound=1259913.493068, norm of subgrad 36.921172 stepsize= 1.000000
+dualbound = 3330105.175909, lowerbound=1257804.175909, norm of subgrad 1122.100787 dualbound = 3330105.175909, lowerbound=1257804.175909, norm of subgrad 37.318666 stepsize= 1.000000
+dualbound = 3330187.138825, lowerbound=1254622.138825, norm of subgrad 1120.675751 dualbound = 3330187.138825, lowerbound=1254622.138825, norm of subgrad 37.067006 stepsize= 1.000000
+dualbound = 3330284.383774, lowerbound=1255003.383774, norm of subgrad 1120.832005 dualbound = 3330284.383774, lowerbound=1255003.383774, norm of subgrad 36.854375 stepsize= 1.000000
+dualbound = 3330371.560158, lowerbound=1259971.560158, norm of subgrad 1123.061690 dualbound = 3330371.560158, lowerbound=1259971.560158, norm of subgrad 37.191079 stepsize= 1.000000
+dualbound = 3330446.100810, lowerbound=1257549.100810, norm of subgrad 1121.976872 dualbound = 3330446.100810, lowerbound=1257549.100810, norm of subgrad 36.844819 stepsize= 1.000000
+dualbound = 3330562.796510, lowerbound=1262448.796510, norm of subgrad 1124.174273 dualbound = 3330562.796510, lowerbound=1262448.796510, norm of subgrad 37.890575 stepsize= 1.000000
+dualbound = 3330643.091165, lowerbound=1259609.091165, norm of subgrad 1122.924793 dualbound = 3330643.091165, lowerbound=1259609.091165, norm of subgrad 37.832455 stepsize= 1.000000
+dualbound = 3330728.284917, lowerbound=1255742.284917, norm of subgrad 1121.162916 dualbound = 3330728.284917, lowerbound=1255742.284917, norm of subgrad 36.731373 stepsize= 1.000000
+dualbound = 3330843.507190, lowerbound=1258831.507190, norm of subgrad 1122.534412 dualbound = 3330843.507190, lowerbound=1258831.507190, norm of subgrad 36.975969 stepsize= 1.000000
+dualbound = 3330940.780194, lowerbound=1255847.780194, norm of subgrad 1121.193016 dualbound = 3330940.780194, lowerbound=1255847.780194, norm of subgrad 36.376820 stepsize= 1.000000
+dualbound = 3331023.817332, lowerbound=1260483.817332, norm of subgrad 1123.276376 dualbound = 3331023.817332, lowerbound=1260483.817332, norm of subgrad 36.729241 stepsize= 1.000000
+dualbound = 3331110.377818, lowerbound=1257781.377818, norm of subgrad 1122.068794 dualbound = 3331110.377818, lowerbound=1257781.377818, norm of subgrad 36.654611 stepsize= 1.000000
+dualbound = 3331217.571533, lowerbound=1255636.571533, norm of subgrad 1121.112649 dualbound = 3331217.571533, lowerbound=1255636.571533, norm of subgrad 36.934993 stepsize= 1.000000
+dualbound = 3331286.986097, lowerbound=1263355.986097, norm of subgrad 1124.567022 dualbound = 3331286.986097, lowerbound=1263355.986097, norm of subgrad 36.937983 stepsize= 1.000000
+dualbound = 3331394.271482, lowerbound=1255028.271482, norm of subgrad 1120.850691 dualbound = 3331394.271482, lowerbound=1255028.271482, norm of subgrad 37.219422 stepsize= 1.000000
+dualbound = 3331464.299088, lowerbound=1259259.299088, norm of subgrad 1122.749437 dualbound = 3331464.299088, lowerbound=1259259.299088, norm of subgrad 37.108323 stepsize= 1.000000
+dualbound = 3331564.356465, lowerbound=1254730.356465, norm of subgrad 1120.731617 dualbound = 3331564.356465, lowerbound=1254730.356465, norm of subgrad 37.537413 stepsize= 1.000000
+dualbound = 3331643.831469, lowerbound=1261909.831469, norm of subgrad 1123.878477 dualbound = 3331643.831469, lowerbound=1261909.831469, norm of subgrad 35.671768 stepsize= 1.000000
+dualbound = 3331791.970757, lowerbound=1258853.970757, norm of subgrad 1122.519920 dualbound = 3331791.970757, lowerbound=1258853.970757, norm of subgrad 36.676141 stepsize= 1.000000
+dualbound = 3331841.338832, lowerbound=1257110.338832, norm of subgrad 1121.800490 dualbound = 3331841.338832, lowerbound=1257110.338832, norm of subgrad 37.085955 stepsize= 1.000000
+dualbound = 3331917.875948, lowerbound=1254292.875948, norm of subgrad 1120.540885 dualbound = 3331917.875948, lowerbound=1254292.875948, norm of subgrad 37.356888 stepsize= 1.000000
+dualbound = 3332049.280087, lowerbound=1254835.280087, norm of subgrad 1120.743628 dualbound = 3332049.280087, lowerbound=1254835.280087, norm of subgrad 36.910759 stepsize= 1.000000
+dualbound = 3332123.789139, lowerbound=1253951.789139, norm of subgrad 1120.356546 dualbound = 3332123.789139, lowerbound=1253951.789139, norm of subgrad 36.352566 stepsize= 1.000000
+dualbound = 3332227.900966, lowerbound=1260818.900966, norm of subgrad 1123.432642 dualbound = 3332227.900966, lowerbound=1260818.900966, norm of subgrad 37.230523 stepsize= 1.000000
+dualbound = 3332298.273024, lowerbound=1256352.273024, norm of subgrad 1121.427337 dualbound = 3332298.273024, lowerbound=1256352.273024, norm of subgrad 36.295620 stepsize= 1.000000
+dualbound = 3332398.199282, lowerbound=1259360.199282, norm of subgrad 1122.779675 dualbound = 3332398.199282, lowerbound=1259360.199282, norm of subgrad 37.066511 stepsize= 1.000000
+dualbound = 3332481.019886, lowerbound=1256266.019886, norm of subgrad 1121.394230 dualbound = 3332481.019886, lowerbound=1256266.019886, norm of subgrad 36.630870 stepsize= 1.000000
+dualbound = 3332553.762211, lowerbound=1259319.762211, norm of subgrad 1122.786606 dualbound = 3332553.762211, lowerbound=1259319.762211, norm of subgrad 37.453202 stepsize= 1.000000
+dualbound = 3332661.239591, lowerbound=1259354.239591, norm of subgrad 1122.764552 dualbound = 3332661.239591, lowerbound=1259354.239591, norm of subgrad 36.789637 stepsize= 1.000000
+dualbound = 3332764.712330, lowerbound=1258916.712330, norm of subgrad 1122.578600 dualbound = 3332764.712330, lowerbound=1258916.712330, norm of subgrad 37.006388 stepsize= 1.000000
+dualbound = 3332844.525860, lowerbound=1258862.525860, norm of subgrad 1122.554019 dualbound = 3332844.525860, lowerbound=1258862.525860, norm of subgrad 36.671699 stepsize= 1.000000
+dualbound = 3332938.409001, lowerbound=1253411.409001, norm of subgrad 1120.135889 dualbound = 3332938.409001, lowerbound=1253411.409001, norm of subgrad 37.240880 stepsize= 1.000000
+dualbound = 3333053.125149, lowerbound=1260572.125149, norm of subgrad 1123.318354 dualbound = 3333053.125149, lowerbound=1260572.125149, norm of subgrad 37.238638 stepsize= 1.000000
+dualbound = 3333098.114617, lowerbound=1256548.114617, norm of subgrad 1121.534714 dualbound = 3333098.114617, lowerbound=1256548.114617, norm of subgrad 36.564867 stepsize= 1.000000
+dualbound = 3333212.002721, lowerbound=1261354.002721, norm of subgrad 1123.685900 dualbound = 3333212.002721, lowerbound=1261354.002721, norm of subgrad 37.813861 stepsize= 1.000000
+dualbound = 3333321.510798, lowerbound=1257040.510798, norm of subgrad 1121.731925 dualbound = 3333321.510798, lowerbound=1257040.510798, norm of subgrad 36.762863 stepsize= 1.000000
+dualbound = 3333405.513793, lowerbound=1256749.513793, norm of subgrad 1121.635196 dualbound = 3333405.513793, lowerbound=1256749.513793, norm of subgrad 37.416614 stepsize= 1.000000
+dualbound = 3333481.728742, lowerbound=1255958.728742, norm of subgrad 1121.282627 dualbound = 3333481.728742, lowerbound=1255958.728742, norm of subgrad 37.312397 stepsize= 1.000000
+dualbound = 3333556.175670, lowerbound=1260404.175670, norm of subgrad 1123.276981 dualbound = 3333556.175670, lowerbound=1260404.175670, norm of subgrad 37.702081 stepsize= 1.000000
+dualbound = 3333651.981581, lowerbound=1254608.981581, norm of subgrad 1120.682373 dualbound = 3333651.981581, lowerbound=1254608.981581, norm of subgrad 37.627196 stepsize= 1.000000
+dualbound = 3333766.883827, lowerbound=1258368.883827, norm of subgrad 1122.331450 dualbound = 3333766.883827, lowerbound=1258368.883827, norm of subgrad 37.066187 stepsize= 1.000000
+dualbound = 3333882.529318, lowerbound=1257241.529318, norm of subgrad 1121.848711 dualbound = 3333882.529318, lowerbound=1257241.529318, norm of subgrad 37.664911 stepsize= 1.000000
+dualbound = 3333916.096523, lowerbound=1259059.096523, norm of subgrad 1122.651369 dualbound = 3333916.096523, lowerbound=1259059.096523, norm of subgrad 36.339609 stepsize= 1.000000
+dualbound = 3334028.831681, lowerbound=1259198.831681, norm of subgrad 1122.718055 dualbound = 3334028.831681, lowerbound=1259198.831681, norm of subgrad 37.546440 stepsize= 1.000000
+dualbound = 3334109.519667, lowerbound=1255957.519667, norm of subgrad 1121.253994 dualbound = 3334109.519667, lowerbound=1255957.519667, norm of subgrad 36.519693 stepsize= 1.000000
+dualbound = 3334219.570970, lowerbound=1261095.570970, norm of subgrad 1123.544646 dualbound = 3334219.570970, lowerbound=1261095.570970, norm of subgrad 36.973657 stepsize= 1.000000
+dualbound = 3334294.416663, lowerbound=1252168.416663, norm of subgrad 1119.599668 dualbound = 3334294.416663, lowerbound=1252168.416663, norm of subgrad 37.547912 stepsize= 1.000000
+dualbound = 3334380.957778, lowerbound=1265361.957778, norm of subgrad 1125.463441 dualbound = 3334380.957778, lowerbound=1265361.957778, norm of subgrad 37.316767 stepsize= 1.000000
+dualbound = 3334486.251584, lowerbound=1256734.251584, norm of subgrad 1121.611007 dualbound = 3334486.251584, lowerbound=1256734.251584, norm of subgrad 37.179212 stepsize= 1.000000
+dualbound = 3334589.443502, lowerbound=1261191.443502, norm of subgrad 1123.558385 dualbound = 3334589.443502, lowerbound=1261191.443502, norm of subgrad 35.988775 stepsize= 1.000000
+dualbound = 3334714.907985, lowerbound=1255203.907985, norm of subgrad 1120.894245 dualbound = 3334714.907985, lowerbound=1255203.907985, norm of subgrad 36.406929 stepsize= 1.000000
+dualbound = 3334768.973388, lowerbound=1260664.973388, norm of subgrad 1123.366358 dualbound = 3334768.973388, lowerbound=1260664.973388, norm of subgrad 36.620560 stepsize= 1.000000
+dualbound = 3334839.008820, lowerbound=1258524.008820, norm of subgrad 1122.413475 dualbound = 3334839.008820, lowerbound=1258524.008820, norm of subgrad 36.851532 stepsize= 1.000000
+dualbound = 3334926.858366, lowerbound=1253543.858366, norm of subgrad 1120.196794 dualbound = 3334926.858366, lowerbound=1253543.858366, norm of subgrad 37.213567 stepsize= 1.000000
+dualbound = 3335026.396052, lowerbound=1259306.396052, norm of subgrad 1122.739683 dualbound = 3335026.396052, lowerbound=1259306.396052, norm of subgrad 36.572362 stepsize= 1.000000
+dualbound = 3335147.818161, lowerbound=1255748.818161, norm of subgrad 1121.140410 dualbound = 3335147.818161, lowerbound=1255748.818161, norm of subgrad 36.447525 stepsize= 1.000000
+dualbound = 3335237.110351, lowerbound=1263479.110351, norm of subgrad 1124.602201 dualbound = 3335237.110351, lowerbound=1263479.110351, norm of subgrad 36.610001 stepsize= 1.000000
+dualbound = 3335314.388499, lowerbound=1254836.388499, norm of subgrad 1120.767767 dualbound = 3335314.388499, lowerbound=1254836.388499, norm of subgrad 36.895503 stepsize= 1.000000
+dualbound = 3335403.459416, lowerbound=1258830.459416, norm of subgrad 1122.556662 dualbound = 3335403.459416, lowerbound=1258830.459416, norm of subgrad 37.310467 stepsize= 1.000000
+dualbound = 3335494.793698, lowerbound=1253823.793698, norm of subgrad 1120.297636 dualbound = 3335494.793698, lowerbound=1253823.793698, norm of subgrad 36.528541 stepsize= 1.000000
+dualbound = 3335589.177352, lowerbound=1260035.177352, norm of subgrad 1123.069088 dualbound = 3335589.177352, lowerbound=1260035.177352, norm of subgrad 36.652198 stepsize= 1.000000
+dualbound = 3335676.842338, lowerbound=1257434.842338, norm of subgrad 1121.968735 dualbound = 3335676.842338, lowerbound=1257434.842338, norm of subgrad 38.297062 stepsize= 1.000000
+dualbound = 3335736.645222, lowerbound=1261155.645222, norm of subgrad 1123.601640 dualbound = 3335736.645222, lowerbound=1261155.645222, norm of subgrad 37.212940 stepsize= 1.000000
+dualbound = 3335850.220988, lowerbound=1258006.220988, norm of subgrad 1122.190813 dualbound = 3335850.220988, lowerbound=1258006.220988, norm of subgrad 37.677258 stepsize= 1.000000
+dualbound = 3335947.392881, lowerbound=1257683.392881, norm of subgrad 1122.036271 dualbound = 3335947.392881, lowerbound=1257683.392881, norm of subgrad 37.137204 stepsize= 1.000000
+dualbound = 3336051.379337, lowerbound=1256120.379337, norm of subgrad 1121.375218 dualbound = 3336051.379337, lowerbound=1256120.379337, norm of subgrad 38.288203 stepsize= 1.000000
+dualbound = 3336129.029079, lowerbound=1258949.029079, norm of subgrad 1122.592548 dualbound = 3336129.029079, lowerbound=1258949.029079, norm of subgrad 36.642185 stepsize= 1.000000
+dualbound = 3336238.207921, lowerbound=1260721.207921, norm of subgrad 1123.386491 dualbound = 3336238.207921, lowerbound=1260721.207921, norm of subgrad 37.217991 stepsize= 1.000000
+dualbound = 3336337.813328, lowerbound=1262565.813328, norm of subgrad 1124.192961 dualbound = 3336337.813328, lowerbound=1262565.813328, norm of subgrad 36.655223 stepsize= 1.000000
+dualbound = 3336415.035078, lowerbound=1258704.035078, norm of subgrad 1122.487877 dualbound = 3336415.035078, lowerbound=1258704.035078, norm of subgrad 36.772568 stepsize= 1.000000
+dualbound = 3336490.305998, lowerbound=1258462.305998, norm of subgrad 1122.400689 dualbound = 3336490.305998, lowerbound=1258462.305998, norm of subgrad 37.366709 stepsize= 1.000000
+dualbound = 3336581.881126, lowerbound=1254006.881126, norm of subgrad 1120.394520 dualbound = 3336581.881126, lowerbound=1254006.881126, norm of subgrad 36.994258 stepsize= 1.000000
+dualbound = 3336702.678083, lowerbound=1253123.678083, norm of subgrad 1119.990481 dualbound = 3336702.678083, lowerbound=1253123.678083, norm of subgrad 37.091737 stepsize= 1.000000
+dualbound = 3336772.019864, lowerbound=1258338.019864, norm of subgrad 1122.326610 dualbound = 3336772.019864, lowerbound=1258338.019864, norm of subgrad 36.719774 stepsize= 1.000000
+dualbound = 3336880.334730, lowerbound=1257745.334730, norm of subgrad 1122.035799 dualbound = 3336880.334730, lowerbound=1257745.334730, norm of subgrad 36.432333 stepsize= 1.000000
+dualbound = 3336958.542975, lowerbound=1252982.542975, norm of subgrad 1119.930151 dualbound = 3336958.542975, lowerbound=1252982.542975, norm of subgrad 36.595194 stepsize= 1.000000
+dualbound = 3337077.968382, lowerbound=1260349.968382, norm of subgrad 1123.200324 dualbound = 3337077.968382, lowerbound=1260349.968382, norm of subgrad 36.720912 stepsize= 1.000000
+dualbound = 3337141.024165, lowerbound=1258359.024165, norm of subgrad 1122.324830 dualbound = 3337141.024165, lowerbound=1258359.024165, norm of subgrad 36.291263 stepsize= 1.000000
+dualbound = 3337252.612216, lowerbound=1260179.612216, norm of subgrad 1123.144075 dualbound = 3337252.612216, lowerbound=1260179.612216, norm of subgrad 37.210053 stepsize= 1.000000
+dualbound = 3337318.959910, lowerbound=1258310.959910, norm of subgrad 1122.345740 dualbound = 3337318.959910, lowerbound=1258310.959910, norm of subgrad 37.621107 stepsize= 1.000000
+dualbound = 3337400.845018, lowerbound=1259849.845018, norm of subgrad 1123.013733 dualbound = 3337400.845018, lowerbound=1259849.845018, norm of subgrad 37.307976 stepsize= 1.000000
+dualbound = 3337508.794320, lowerbound=1253083.794320, norm of subgrad 1119.989194 dualbound = 3337508.794320, lowerbound=1253083.794320, norm of subgrad 37.415896 stepsize= 1.000000
+dualbound = 3337599.666841, lowerbound=1264705.666841, norm of subgrad 1125.158952 dualbound = 3337599.666841, lowerbound=1264705.666841, norm of subgrad 36.984761 stepsize= 1.000000
+dualbound = 3337696.500581, lowerbound=1255917.500581, norm of subgrad 1121.240608 dualbound = 3337696.500581, lowerbound=1255917.500581, norm of subgrad 36.875924 stepsize= 1.000000
+dualbound = 3337769.005665, lowerbound=1262071.005665, norm of subgrad 1123.969753 dualbound = 3337769.005665, lowerbound=1262071.005665, norm of subgrad 36.187085 stepsize= 1.000000
+dualbound = 3337876.674279, lowerbound=1253617.674279, norm of subgrad 1120.205639 dualbound = 3337876.674279, lowerbound=1253617.674279, norm of subgrad 36.751444 stepsize= 1.000000
+dualbound = 3337965.383844, lowerbound=1263429.383844, norm of subgrad 1124.581426 dualbound = 3337965.383844, lowerbound=1263429.383844, norm of subgrad 36.643002 stepsize= 1.000000
+dualbound = 3338049.150818, lowerbound=1257933.150818, norm of subgrad 1122.160484 dualbound = 3338049.150818, lowerbound=1257933.150818, norm of subgrad 37.346579 stepsize= 1.000000
+dualbound = 3338114.797135, lowerbound=1256237.797135, norm of subgrad 1121.415533 dualbound = 3338114.797135, lowerbound=1256237.797135, norm of subgrad 37.425210 stepsize= 1.000000
+dualbound = 3338221.177209, lowerbound=1258156.177209, norm of subgrad 1122.261189 dualbound = 3338221.177209, lowerbound=1258156.177209, norm of subgrad 37.687930 stepsize= 1.000000
+dualbound = 3338319.448475, lowerbound=1260148.448475, norm of subgrad 1123.124414 dualbound = 3338319.448475, lowerbound=1260148.448475, norm of subgrad 36.854732 stepsize= 1.000000
+dualbound = 3338409.303080, lowerbound=1252099.303080, norm of subgrad 1119.544686 dualbound = 3338409.303080, lowerbound=1252099.303080, norm of subgrad 37.025054 stepsize= 1.000000
+dualbound = 3338490.507659, lowerbound=1261348.507659, norm of subgrad 1123.642518 dualbound = 3338490.507659, lowerbound=1261348.507659, norm of subgrad 36.127615 stepsize= 1.000000
+dualbound = 3338608.023967, lowerbound=1259235.023967, norm of subgrad 1122.724376 dualbound = 3338608.023967, lowerbound=1259235.023967, norm of subgrad 37.316435 stepsize= 1.000000
+dualbound = 3338684.059833, lowerbound=1257435.059833, norm of subgrad 1121.932734 dualbound = 3338684.059833, lowerbound=1257435.059833, norm of subgrad 37.067990 stepsize= 1.000000
+dualbound = 3338755.818857, lowerbound=1257882.818857, norm of subgrad 1122.154543 dualbound = 3338755.818857, lowerbound=1257882.818857, norm of subgrad 37.679690 stepsize= 1.000000
+dualbound = 3338829.360021, lowerbound=1255939.360021, norm of subgrad 1121.279341 dualbound = 3338829.360021, lowerbound=1255939.360021, norm of subgrad 37.437163 stepsize= 1.000000
+dualbound = 3338969.200294, lowerbound=1259903.200294, norm of subgrad 1123.027248 dualbound = 3338969.200294, lowerbound=1259903.200294, norm of subgrad 37.773539 stepsize= 1.000000
+dualbound = 3339043.924782, lowerbound=1257960.924782, norm of subgrad 1122.165730 dualbound = 3339043.924782, lowerbound=1257960.924782, norm of subgrad 37.009789 stepsize= 1.000000
+dualbound = 3339126.793127, lowerbound=1256663.793127, norm of subgrad 1121.592080 dualbound = 3339126.793127, lowerbound=1256663.793127, norm of subgrad 37.254105 stepsize= 1.000000
+dualbound = 3339220.322013, lowerbound=1256854.322013, norm of subgrad 1121.673893 dualbound = 3339220.322013, lowerbound=1256854.322013, norm of subgrad 37.303202 stepsize= 1.000000
+dualbound = 3339299.038450, lowerbound=1257280.038450, norm of subgrad 1121.859634 dualbound = 3339299.038450, lowerbound=1257280.038450, norm of subgrad 36.982650 stepsize= 1.000000
+dualbound = 3339405.544748, lowerbound=1265502.544748, norm of subgrad 1125.483694 dualbound = 3339405.544748, lowerbound=1265502.544748, norm of subgrad 36.297470 stepsize= 1.000000
+dualbound = 3339515.532484, lowerbound=1256217.532484, norm of subgrad 1121.348979 dualbound = 3339515.532484, lowerbound=1256217.532484, norm of subgrad 36.276545 stepsize= 1.000000
+dualbound = 3339608.546686, lowerbound=1260293.546686, norm of subgrad 1123.180104 dualbound = 3339608.546686, lowerbound=1260293.546686, norm of subgrad 36.510467 stepsize= 1.000000
+dualbound = 3339704.077640, lowerbound=1254540.077640, norm of subgrad 1120.598535 dualbound = 3339704.077640, lowerbound=1254540.077640, norm of subgrad 36.007374 stepsize= 1.000000
+dualbound = 3339768.560320, lowerbound=1259520.560320, norm of subgrad 1122.844406 dualbound = 3339768.560320, lowerbound=1259520.560320, norm of subgrad 36.379701 stepsize= 1.000000
+dualbound = 3339869.140223, lowerbound=1255402.140224, norm of subgrad 1121.003631 dualbound = 3339869.140223, lowerbound=1255402.140224, norm of subgrad 36.709398 stepsize= 1.000000
+dualbound = 3339958.179724, lowerbound=1262384.179724, norm of subgrad 1124.131300 dualbound = 3339958.179724, lowerbound=1262384.179724, norm of subgrad 37.095006 stepsize= 1.000000
+dualbound = 3340047.301260, lowerbound=1259282.301260, norm of subgrad 1122.742313 dualbound = 3340047.301260, lowerbound=1259282.301260, norm of subgrad 36.839130 stepsize= 1.000000
+dualbound = 3340114.912312, lowerbound=1257790.912312, norm of subgrad 1122.122058 dualbound = 3340114.912312, lowerbound=1257790.912312, norm of subgrad 37.876260 stepsize= 1.000000
+dualbound = 3340212.108699, lowerbound=1255898.108699, norm of subgrad 1121.221704 dualbound = 3340212.108699, lowerbound=1255898.108699, norm of subgrad 36.567696 stepsize= 1.000000
+dualbound = 3340312.953577, lowerbound=1262360.953577, norm of subgrad 1124.134313 dualbound = 3340312.953577, lowerbound=1262360.953577, norm of subgrad 37.654281 stepsize= 1.000000
+dualbound = 3340390.916365, lowerbound=1257983.916365, norm of subgrad 1122.167508 dualbound = 3340390.916365, lowerbound=1257983.916365, norm of subgrad 36.796233 stepsize= 1.000000
+dualbound = 3340497.369271, lowerbound=1263817.369271, norm of subgrad 1124.783254 dualbound = 3340497.369271, lowerbound=1263817.369271, norm of subgrad 37.768411 stepsize= 1.000000
+dualbound = 3340561.374552, lowerbound=1254273.374552, norm of subgrad 1120.526829 dualbound = 3340561.374552, lowerbound=1254273.374552, norm of subgrad 37.027088 stepsize= 1.000000
+dualbound = 3340689.812160, lowerbound=1261181.812160, norm of subgrad 1123.569674 dualbound = 3340689.812160, lowerbound=1261181.812160, norm of subgrad 36.816268 stepsize= 1.000000
+dualbound = 3340797.577820, lowerbound=1256239.577820, norm of subgrad 1121.347216 dualbound = 3340797.577820, lowerbound=1256239.577820, norm of subgrad 35.885452 stepsize= 1.000000
+dualbound = 3340899.124480, lowerbound=1263268.124480, norm of subgrad 1124.491941 dualbound = 3340899.124480, lowerbound=1263268.124480, norm of subgrad 36.270465 stepsize= 1.000000
+dualbound = 3340955.025645, lowerbound=1250711.025645, norm of subgrad 1118.919580 dualbound = 3340955.025645, lowerbound=1250711.025645, norm of subgrad 36.412926 stepsize= 1.000000
+dualbound = 3341029.509619, lowerbound=1257755.509619, norm of subgrad 1122.051028 dualbound = 3341029.509619, lowerbound=1257755.509619, norm of subgrad 36.297162 stepsize= 1.000000
+dualbound = 3341128.787918, lowerbound=1259759.787918, norm of subgrad 1122.966958 dualbound = 3341128.787918, lowerbound=1259759.787918, norm of subgrad 37.340036 stepsize= 1.000000
+dualbound = 3341221.579097, lowerbound=1259882.579097, norm of subgrad 1123.004265 dualbound = 3341221.579097, lowerbound=1259882.579097, norm of subgrad 36.725892 stepsize= 1.000000
+dualbound = 3341298.627041, lowerbound=1260090.627041, norm of subgrad 1123.118260 dualbound = 3341298.627041, lowerbound=1260090.627041, norm of subgrad 37.162453 stepsize= 1.000000
+dualbound = 3341401.996753, lowerbound=1260206.996753, norm of subgrad 1123.157601 dualbound = 3341401.996753, lowerbound=1260206.996753, norm of subgrad 37.139867 stepsize= 1.000000
+dualbound = 3341488.426474, lowerbound=1256629.426474, norm of subgrad 1121.545107 dualbound = 3341488.426474, lowerbound=1256629.426474, norm of subgrad 36.337718 stepsize= 1.000000
+dualbound = 3341603.341775, lowerbound=1261885.341775, norm of subgrad 1123.868917 dualbound = 3341603.341775, lowerbound=1261885.341775, norm of subgrad 36.206564 stepsize= 1.000000
+dualbound = 3341672.621533, lowerbound=1259076.621533, norm of subgrad 1122.682333 dualbound = 3341672.621533, lowerbound=1259076.621533, norm of subgrad 37.527054 stepsize= 1.000000
+dualbound = 3341729.412036, lowerbound=1257471.412036, norm of subgrad 1121.961859 dualbound = 3341729.412036, lowerbound=1257471.412036, norm of subgrad 37.199335 stepsize= 1.000000
+dualbound = 3341843.400872, lowerbound=1260250.400872, norm of subgrad 1123.192504 dualbound = 3341843.400872, lowerbound=1260250.400872, norm of subgrad 37.749024 stepsize= 1.000000
+dualbound = 3341922.110004, lowerbound=1254224.110004, norm of subgrad 1120.506631 dualbound = 3341922.110004, lowerbound=1254224.110004, norm of subgrad 37.278803 stepsize= 1.000000
+dualbound = 3342038.582222, lowerbound=1263131.582222, norm of subgrad 1124.466354 dualbound = 3342038.582222, lowerbound=1263131.582222, norm of subgrad 37.542938 stepsize= 1.000000
+dualbound = 3342115.635278, lowerbound=1258767.635278, norm of subgrad 1122.527788 dualbound = 3342115.635278, lowerbound=1258767.635278, norm of subgrad 37.122137 stepsize= 1.000000
+dualbound = 3342213.395585, lowerbound=1258503.395585, norm of subgrad 1122.412756 dualbound = 3342213.395585, lowerbound=1258503.395585, norm of subgrad 37.480132 stepsize= 1.000000
+dualbound = 3342293.093652, lowerbound=1255912.093652, norm of subgrad 1121.237751 dualbound = 3342293.093652, lowerbound=1255912.093652, norm of subgrad 36.629197 stepsize= 1.000000
+dualbound = 3342402.056753, lowerbound=1261909.056753, norm of subgrad 1123.877688 dualbound = 3342402.056753, lowerbound=1261909.056753, norm of subgrad 36.068866 stepsize= 1.000000
+dualbound = 3342501.015616, lowerbound=1258505.015616, norm of subgrad 1122.387195 dualbound = 3342501.015616, lowerbound=1258505.015616, norm of subgrad 36.700938 stepsize= 1.000000
+dualbound = 3342593.529820, lowerbound=1258467.529820, norm of subgrad 1122.349558 dualbound = 3342593.529820, lowerbound=1258467.529820, norm of subgrad 35.965458 stepsize= 1.000000
+dualbound = 3342681.936107, lowerbound=1259906.936107, norm of subgrad 1123.012438 dualbound = 3342681.936107, lowerbound=1259906.936107, norm of subgrad 36.584236 stepsize= 1.000000
+dualbound = 3342743.119340, lowerbound=1258044.119340, norm of subgrad 1122.232649 dualbound = 3342743.119340, lowerbound=1258044.119340, norm of subgrad 37.725101 stepsize= 1.000000
+dualbound = 3342824.098291, lowerbound=1258249.098291, norm of subgrad 1122.283876 dualbound = 3342824.098291, lowerbound=1258249.098291, norm of subgrad 36.782862 stepsize= 1.000000
+dualbound = 3342946.765409, lowerbound=1255002.765409, norm of subgrad 1120.840205 dualbound = 3342946.765409, lowerbound=1255002.765409, norm of subgrad 37.452198 stepsize= 1.000000
+dualbound = 3343027.897062, lowerbound=1256898.897062, norm of subgrad 1121.689305 dualbound = 3343027.897062, lowerbound=1256898.897062, norm of subgrad 37.001779 stepsize= 1.000000
+dualbound = 3343103.755474, lowerbound=1257178.755474, norm of subgrad 1121.819395 dualbound = 3343103.755474, lowerbound=1257178.755474, norm of subgrad 37.092565 stepsize= 1.000000
+dualbound = 3343219.947819, lowerbound=1258516.947819, norm of subgrad 1122.398302 dualbound = 3343219.947819, lowerbound=1258516.947819, norm of subgrad 37.110542 stepsize= 1.000000
+dualbound = 3343296.511808, lowerbound=1258107.511808, norm of subgrad 1122.212775 dualbound = 3343296.511808, lowerbound=1258107.511808, norm of subgrad 36.476897 stepsize= 1.000000
+dualbound = 3343400.850892, lowerbound=1256167.850892, norm of subgrad 1121.357147 dualbound = 3343400.850892, lowerbound=1256167.850892, norm of subgrad 37.125989 stepsize= 1.000000
+dualbound = 3343489.596633, lowerbound=1264073.596633, norm of subgrad 1124.899372 dualbound = 3343489.596633, lowerbound=1264073.596633, norm of subgrad 37.599810 stepsize= 1.000000
+dualbound = 3343535.289499, lowerbound=1258857.289499, norm of subgrad 1122.585538 dualbound = 3343535.289499, lowerbound=1258857.289499, norm of subgrad 37.238325 stepsize= 1.000000
+dualbound = 3343665.976749, lowerbound=1264123.976749, norm of subgrad 1124.892873 dualbound = 3343665.976749, lowerbound=1264123.976749, norm of subgrad 37.291919 stepsize= 1.000000
+dualbound = 3343749.786719, lowerbound=1257115.786719, norm of subgrad 1121.770826 dualbound = 3343749.786719, lowerbound=1257115.786719, norm of subgrad 36.576085 stepsize= 1.000000
+dualbound = 3343847.232987, lowerbound=1258744.232987, norm of subgrad 1122.514692 dualbound = 3343847.232987, lowerbound=1258744.232987, norm of subgrad 37.315496 stepsize= 1.000000
+dualbound = 3343947.389216, lowerbound=1255858.389216, norm of subgrad 1121.206667 dualbound = 3343947.389216, lowerbound=1255858.389216, norm of subgrad 36.690002 stepsize= 1.000000
+dualbound = 3344024.014700, lowerbound=1260350.014700, norm of subgrad 1123.219486 dualbound = 3344024.014700, lowerbound=1260350.014700, norm of subgrad 36.723637 stepsize= 1.000000
+dualbound = 3344122.397890, lowerbound=1256960.397890, norm of subgrad 1121.704238 dualbound = 3344122.397890, lowerbound=1256960.397890, norm of subgrad 36.856250 stepsize= 1.000000
+dualbound = 3344200.379925, lowerbound=1259421.379925, norm of subgrad 1122.785990 dualbound = 3344200.379925, lowerbound=1259421.379925, norm of subgrad 36.124535 stepsize= 1.000000
+dualbound = 3344313.590652, lowerbound=1259351.590652, norm of subgrad 1122.767380 dualbound = 3344313.590652, lowerbound=1259351.590652, norm of subgrad 36.989333 stepsize= 1.000000
+dualbound = 3344394.020205, lowerbound=1263061.020205, norm of subgrad 1124.419859 dualbound = 3344394.020205, lowerbound=1263061.020205, norm of subgrad 36.598218 stepsize= 1.000000
+dualbound = 3344459.205887, lowerbound=1258139.205887, norm of subgrad 1122.252737 dualbound = 3344459.205887, lowerbound=1258139.205887, norm of subgrad 37.110452 stepsize= 1.000000
+dualbound = 3344551.045268, lowerbound=1257131.045268, norm of subgrad 1121.783422 dualbound = 3344551.045268, lowerbound=1257131.045268, norm of subgrad 36.862439 stepsize= 1.000000
+dualbound = 3344639.327185, lowerbound=1259387.327185, norm of subgrad 1122.774834 dualbound = 3344639.327185, lowerbound=1259387.327185, norm of subgrad 36.390684 stepsize= 1.000000
+dualbound = 3344743.453095, lowerbound=1257249.453095, norm of subgrad 1121.819260 dualbound = 3344743.453095, lowerbound=1257249.453095, norm of subgrad 36.511997 stepsize= 1.000000
+dualbound = 3344851.201449, lowerbound=1258486.201449, norm of subgrad 1122.386832 dualbound = 3344851.201449, lowerbound=1258486.201449, norm of subgrad 37.064111 stepsize= 1.000000
+dualbound = 3344927.946975, lowerbound=1263266.946975, norm of subgrad 1124.511426 dualbound = 3344927.946975, lowerbound=1263266.946975, norm of subgrad 36.547853 stepsize= 1.000000
+dualbound = 3345000.022883, lowerbound=1258255.022883, norm of subgrad 1122.285624 dualbound = 3345000.022883, lowerbound=1258255.022883, norm of subgrad 36.634354 stepsize= 1.000000
+dualbound = 3345088.834911, lowerbound=1260128.834911, norm of subgrad 1123.131263 dualbound = 3345088.834911, lowerbound=1260128.834911, norm of subgrad 37.199624 stepsize= 1.000000
+dualbound = 3345168.815498, lowerbound=1259965.815498, norm of subgrad 1123.041769 dualbound = 3345168.815498, lowerbound=1259965.815498, norm of subgrad 36.564745 stepsize= 1.000000
+dualbound = 3345272.802429, lowerbound=1260404.802429, norm of subgrad 1123.241649 dualbound = 3345272.802429, lowerbound=1260404.802429, norm of subgrad 37.026841 stepsize= 1.000000
+dualbound = 3345363.739010, lowerbound=1257819.739010, norm of subgrad 1122.089898 dualbound = 3345363.739010, lowerbound=1257819.739010, norm of subgrad 36.836620 stepsize= 1.000000
+dualbound = 3345458.055500, lowerbound=1262369.055500, norm of subgrad 1124.116122 dualbound = 3345458.055500, lowerbound=1262369.055500, norm of subgrad 36.909572 stepsize= 1.000000
+dualbound = 3345549.657461, lowerbound=1255677.657461, norm of subgrad 1121.132310 dualbound = 3345549.657461, lowerbound=1255677.657461, norm of subgrad 36.764140 stepsize= 1.000000
+dualbound = 3345643.107676, lowerbound=1255667.107676, norm of subgrad 1121.122700 dualbound = 3345643.107676, lowerbound=1255667.107676, norm of subgrad 36.639463 stepsize= 1.000000
+dualbound = 3345710.541465, lowerbound=1258650.541465, norm of subgrad 1122.493003 dualbound = 3345710.541465, lowerbound=1258650.541465, norm of subgrad 37.515781 stepsize= 1.000000
+dualbound = 3345813.005664, lowerbound=1261504.005664, norm of subgrad 1123.750420 dualbound = 3345813.005664, lowerbound=1261504.005664, norm of subgrad 37.596066 stepsize= 1.000000
+dualbound = 3345886.149549, lowerbound=1258257.149549, norm of subgrad 1122.318203 dualbound = 3345886.149549, lowerbound=1258257.149549, norm of subgrad 37.605104 stepsize= 1.000000
+dualbound = 3345988.123572, lowerbound=1260411.123572, norm of subgrad 1123.262714 dualbound = 3345988.123572, lowerbound=1260411.123572, norm of subgrad 37.549621 stepsize= 1.000000
+dualbound = 3346077.840878, lowerbound=1256122.840878, norm of subgrad 1121.380328 dualbound = 3346077.840878, lowerbound=1256122.840878, norm of subgrad 38.219332 stepsize= 1.000000
+dualbound = 3346155.887592, lowerbound=1256542.887592, norm of subgrad 1121.579639 dualbound = 3346155.887592, lowerbound=1256542.887592, norm of subgrad 38.419353 stepsize= 1.000000
+dualbound = 3346260.917339, lowerbound=1258688.917339, norm of subgrad 1122.496734 dualbound = 3346260.917339, lowerbound=1258688.917339, norm of subgrad 37.616881 stepsize= 1.000000
+dualbound = 3346367.318611, lowerbound=1262313.318611, norm of subgrad 1124.071314 dualbound = 3346367.318611, lowerbound=1262313.318611, norm of subgrad 36.460955 stepsize= 1.000000
+dualbound = 3346459.315824, lowerbound=1254901.315824, norm of subgrad 1120.758366 dualbound = 3346459.315824, lowerbound=1254901.315824, norm of subgrad 35.916531 stepsize= 1.000000
+dualbound = 3346563.392225, lowerbound=1258426.392225, norm of subgrad 1122.333904 dualbound = 3346563.392225, lowerbound=1258426.392225, norm of subgrad 36.208789 stepsize= 1.000000
+dualbound = 3346621.351656, lowerbound=1256238.351656, norm of subgrad 1121.377881 dualbound = 3346621.351656, lowerbound=1256238.351656, norm of subgrad 36.165722 stepsize= 1.000000
+dualbound = 3346713.855447, lowerbound=1259704.855447, norm of subgrad 1122.925579 dualbound = 3346713.855447, lowerbound=1259704.855447, norm of subgrad 36.735593 stepsize= 1.000000
+dualbound = 3346807.404623, lowerbound=1258261.404623, norm of subgrad 1122.286686 dualbound = 3346807.404623, lowerbound=1258261.404623, norm of subgrad 36.872065 stepsize= 1.000000
+dualbound = 3346895.069527, lowerbound=1258645.069527, norm of subgrad 1122.496802 dualbound = 3346895.069527, lowerbound=1258645.069527, norm of subgrad 37.969263 stepsize= 1.000000
+dualbound = 3346970.801588, lowerbound=1257949.801588, norm of subgrad 1122.174586 dualbound = 3346970.801588, lowerbound=1257949.801588, norm of subgrad 37.439712 stepsize= 1.000000
+dualbound = 3347073.037599, lowerbound=1257180.037599, norm of subgrad 1121.814172 dualbound = 3347073.037599, lowerbound=1257180.037599, norm of subgrad 37.272456 stepsize= 1.000000
+dualbound = 3347176.622498, lowerbound=1261698.622498, norm of subgrad 1123.847242 dualbound = 3347176.622498, lowerbound=1261698.622498, norm of subgrad 37.915497 stepsize= 1.000000
+dualbound = 3347252.757346, lowerbound=1259760.757346, norm of subgrad 1122.950915 dualbound = 3347252.757346, lowerbound=1259760.757346, norm of subgrad 36.525811 stepsize= 1.000000
+dualbound = 3347355.948637, lowerbound=1260532.948637, norm of subgrad 1123.302697 dualbound = 3347355.948637, lowerbound=1260532.948637, norm of subgrad 37.137465 stepsize= 1.000000
+dualbound = 3347457.607155, lowerbound=1258447.607155, norm of subgrad 1122.348701 dualbound = 3347457.607155, lowerbound=1258447.607155, norm of subgrad 36.340866 stepsize= 1.000000
+dualbound = 3347539.543504, lowerbound=1256202.543504, norm of subgrad 1121.382871 dualbound = 3347539.543504, lowerbound=1256202.543504, norm of subgrad 37.134032 stepsize= 1.000000
+dualbound = 3347621.344739, lowerbound=1257156.344739, norm of subgrad 1121.804058 dualbound = 3347621.344739, lowerbound=1257156.344739, norm of subgrad 37.010826 stepsize= 1.000000
+dualbound = 3347717.238279, lowerbound=1264606.238279, norm of subgrad 1125.108990 dualbound = 3347717.238279, lowerbound=1264606.238279, norm of subgrad 36.876734 stepsize= 1.000000
+dualbound = 3347786.731901, lowerbound=1257268.731901, norm of subgrad 1121.858160 dualbound = 3347786.731901, lowerbound=1257268.731901, norm of subgrad 36.966115 stepsize= 1.000000
+dualbound = 3347894.417508, lowerbound=1260954.417508, norm of subgrad 1123.458685 dualbound = 3347894.417508, lowerbound=1260954.417508, norm of subgrad 36.231003 stepsize= 1.000000
+dualbound = 3347986.730586, lowerbound=1258995.730586, norm of subgrad 1122.590188 dualbound = 3347986.730586, lowerbound=1258995.730586, norm of subgrad 36.129117 stepsize= 1.000000
+dualbound = 3348067.610226, lowerbound=1260314.610226, norm of subgrad 1123.208178 dualbound = 3348067.610226, lowerbound=1260314.610226, norm of subgrad 36.917200 stepsize= 1.000000
+dualbound = 3348144.118264, lowerbound=1260314.118264, norm of subgrad 1123.195494 dualbound = 3348144.118264, lowerbound=1260314.118264, norm of subgrad 36.476130 stepsize= 1.000000
+dualbound = 3348266.000035, lowerbound=1259558.000035, norm of subgrad 1122.862859 dualbound = 3348266.000035, lowerbound=1259558.000035, norm of subgrad 37.214000 stepsize= 1.000000
+dualbound = 3348351.519742, lowerbound=1262664.519742, norm of subgrad 1124.238195 dualbound = 3348351.519742, lowerbound=1262664.519742, norm of subgrad 36.503694 stepsize= 1.000000
+dualbound = 3348435.778053, lowerbound=1253629.778053, norm of subgrad 1120.190063 dualbound = 3348435.778053, lowerbound=1253629.778053, norm of subgrad 35.780697 stepsize= 1.000000
+dualbound = 3348520.455057, lowerbound=1261529.455057, norm of subgrad 1123.751065 dualbound = 3348520.455057, lowerbound=1261529.455057, norm of subgrad 37.036158 stepsize= 1.000000
+dualbound = 3348595.080960, lowerbound=1256295.080960, norm of subgrad 1121.426806 dualbound = 3348595.080960, lowerbound=1256295.080960, norm of subgrad 37.116383 stepsize= 1.000000
+dualbound = 3348691.656070, lowerbound=1259665.656070, norm of subgrad 1122.953987 dualbound = 3348691.656070, lowerbound=1259665.656070, norm of subgrad 38.165103 stepsize= 1.000000
+dualbound = 3348775.075863, lowerbound=1259122.075863, norm of subgrad 1122.661603 dualbound = 3348775.075863, lowerbound=1259122.075863, norm of subgrad 36.474920 stepsize= 1.000000
+dualbound = 3348873.339868, lowerbound=1256623.339868, norm of subgrad 1121.565575 dualbound = 3348873.339868, lowerbound=1256623.339868, norm of subgrad 37.205699 stepsize= 1.000000
+dualbound = 3348956.477073, lowerbound=1265754.477073, norm of subgrad 1125.618709 dualbound = 3348956.477073, lowerbound=1265754.477073, norm of subgrad 36.689743 stepsize= 1.000000
+dualbound = 3349036.074503, lowerbound=1257932.074503, norm of subgrad 1122.148419 dualbound = 3349036.074503, lowerbound=1257932.074503, norm of subgrad 36.940458 stepsize= 1.000000
+dualbound = 3349135.493256, lowerbound=1259758.493256, norm of subgrad 1122.947235 dualbound = 3349135.493256, lowerbound=1259758.493256, norm of subgrad 36.761648 stepsize= 1.000000
+dualbound = 3349212.558362, lowerbound=1254889.558362, norm of subgrad 1120.824053 dualbound = 3349212.558362, lowerbound=1254889.558362, norm of subgrad 37.869052 stepsize= 1.000000
+dualbound = 3349267.811573, lowerbound=1261711.811573, norm of subgrad 1123.840652 dualbound = 3349267.811573, lowerbound=1261711.811573, norm of subgrad 36.895165 stepsize= 1.000000
+dualbound = 3349374.652240, lowerbound=1260134.652240, norm of subgrad 1123.140086 dualbound = 3349374.652240, lowerbound=1260134.652240, norm of subgrad 37.627658 stepsize= 1.000000
+dualbound = 3349495.260183, lowerbound=1259263.260183, norm of subgrad 1122.728489 dualbound = 3349495.260183, lowerbound=1259263.260183, norm of subgrad 37.102668 stepsize= 1.000000
+dualbound = 3349552.193605, lowerbound=1257777.193605, norm of subgrad 1122.103468 dualbound = 3349552.193605, lowerbound=1257777.193605, norm of subgrad 37.362192 stepsize= 1.000000
+dualbound = 3349669.317327, lowerbound=1261028.317327, norm of subgrad 1123.534297 dualbound = 3349669.317327, lowerbound=1261028.317327, norm of subgrad 37.657984 stepsize= 1.000000
+dualbound = 3349753.289644, lowerbound=1262106.289644, norm of subgrad 1124.011250 dualbound = 3349753.289644, lowerbound=1262106.289644, norm of subgrad 37.134517 stepsize= 1.000000
+dualbound = 3349853.071084, lowerbound=1261522.071084, norm of subgrad 1123.722417 dualbound = 3349853.071084, lowerbound=1261522.071084, norm of subgrad 36.466168 stepsize= 1.000000
+dualbound = 3349951.331693, lowerbound=1256829.331693, norm of subgrad 1121.634669 dualbound = 3349951.331693, lowerbound=1256829.331693, norm of subgrad 36.513841 stepsize= 1.000000
+dualbound = 3350035.709298, lowerbound=1263869.709298, norm of subgrad 1124.785628 dualbound = 3350035.709298, lowerbound=1263869.709298, norm of subgrad 36.842606 stepsize= 1.000000
+dualbound = 3350096.724658, lowerbound=1257706.724658, norm of subgrad 1122.052015 dualbound = 3350096.724658, lowerbound=1257706.724658, norm of subgrad 36.810533 stepsize= 1.000000
+dualbound = 3350221.288498, lowerbound=1261993.288498, norm of subgrad 1123.959647 dualbound = 3350221.288498, lowerbound=1261993.288498, norm of subgrad 37.637267 stepsize= 1.000000
+dualbound = 3350279.172152, lowerbound=1261269.172152, norm of subgrad 1123.645038 dualbound = 3350279.172152, lowerbound=1261269.172152, norm of subgrad 36.971390 stepsize= 1.000000
+dualbound = 3350389.585552, lowerbound=1261280.585552, norm of subgrad 1123.641217 dualbound = 3350389.585552, lowerbound=1261280.585552, norm of subgrad 37.408734 stepsize= 1.000000
+dualbound = 3350483.725311, lowerbound=1257149.725311, norm of subgrad 1121.807348 dualbound = 3350483.725311, lowerbound=1257149.725311, norm of subgrad 37.364954 stepsize= 1.000000
+dualbound = 3350561.836782, lowerbound=1258805.836782, norm of subgrad 1122.534559 dualbound = 3350561.836782, lowerbound=1258805.836782, norm of subgrad 36.825419 stepsize= 1.000000
+dualbound = 3350650.988420, lowerbound=1258170.988420, norm of subgrad 1122.249967 dualbound = 3350650.988420, lowerbound=1258170.988420, norm of subgrad 36.920883 stepsize= 1.000000
+dualbound = 3350743.139524, lowerbound=1256750.139524, norm of subgrad 1121.600704 dualbound = 3350743.139524, lowerbound=1256750.139524, norm of subgrad 36.471237 stepsize= 1.000000
+dualbound = 3350850.072768, lowerbound=1258324.072768, norm of subgrad 1122.317278 dualbound = 3350850.072768, lowerbound=1258324.072768, norm of subgrad 37.133990 stepsize= 1.000000
+dualbound = 3350943.625783, lowerbound=1261129.625783, norm of subgrad 1123.571371 dualbound = 3350943.625783, lowerbound=1261129.625783, norm of subgrad 37.101927 stepsize= 1.000000
+dualbound = 3351028.119482, lowerbound=1258826.119482, norm of subgrad 1122.516868 dualbound = 3351028.119482, lowerbound=1258826.119482, norm of subgrad 36.090078 stepsize= 1.000000
+dualbound = 3351129.721369, lowerbound=1256211.721369, norm of subgrad 1121.367790 dualbound = 3351129.721369, lowerbound=1256211.721369, norm of subgrad 36.818499 stepsize= 1.000000
+dualbound = 3351175.521196, lowerbound=1261247.521196, norm of subgrad 1123.643414 dualbound = 3351175.521196, lowerbound=1261247.521196, norm of subgrad 37.051313 stepsize= 1.000000
+dualbound = 3351293.416997, lowerbound=1263193.416997, norm of subgrad 1124.487180 dualbound = 3351293.416997, lowerbound=1263193.416997, norm of subgrad 37.361689 stepsize= 1.000000
+dualbound = 3351365.009198, lowerbound=1256885.009198, norm of subgrad 1121.679103 dualbound = 3351365.009198, lowerbound=1256885.009198, norm of subgrad 36.750404 stepsize= 1.000000
+dualbound = 3351465.733160, lowerbound=1261619.733160, norm of subgrad 1123.818817 dualbound = 3351465.733160, lowerbound=1261619.733160, norm of subgrad 38.075241 stepsize= 1.000000
+dualbound = 3351531.515869, lowerbound=1256767.515870, norm of subgrad 1121.618258 dualbound = 3351531.515869, lowerbound=1256767.515870, norm of subgrad 36.411299 stepsize= 1.000000
+dualbound = 3351656.292273, lowerbound=1261557.292273, norm of subgrad 1123.734529 dualbound = 3351656.292273, lowerbound=1261557.292273, norm of subgrad 36.698452 stepsize= 1.000000
+dualbound = 3351728.037302, lowerbound=1257026.037302, norm of subgrad 1121.764698 dualbound = 3351728.037302, lowerbound=1257026.037302, norm of subgrad 37.439886 stepsize= 1.000000
+dualbound = 3351825.755090, lowerbound=1264375.755090, norm of subgrad 1125.027891 dualbound = 3351825.755090, lowerbound=1264375.755090, norm of subgrad 37.546209 stepsize= 1.000000
+dualbound = 3351895.781705, lowerbound=1256176.781705, norm of subgrad 1121.385207 dualbound = 3351895.781705, lowerbound=1256176.781705, norm of subgrad 37.390194 stepsize= 1.000000
+dualbound = 3351991.318746, lowerbound=1259464.318746, norm of subgrad 1122.855876 dualbound = 3351991.318746, lowerbound=1259464.318746, norm of subgrad 37.901676 stepsize= 1.000000
+dualbound = 3352087.803524, lowerbound=1259919.803524, norm of subgrad 1123.025291 dualbound = 3352087.803524, lowerbound=1259919.803524, norm of subgrad 36.911851 stepsize= 1.000000
+dualbound = 3352179.785692, lowerbound=1259506.785692, norm of subgrad 1122.826694 dualbound = 3352179.785692, lowerbound=1259506.785692, norm of subgrad 36.400305 stepsize= 1.000000
+dualbound = 3352271.835741, lowerbound=1257807.835741, norm of subgrad 1122.087713 dualbound = 3352271.835741, lowerbound=1257807.835741, norm of subgrad 36.946584 stepsize= 1.000000
+dualbound = 3352365.261567, lowerbound=1260294.261567, norm of subgrad 1123.173745 dualbound = 3352365.261567, lowerbound=1260294.261567, norm of subgrad 36.310134 stepsize= 1.000000
+dualbound = 3352433.423295, lowerbound=1259168.423295, norm of subgrad 1122.691152 dualbound = 3352433.423295, lowerbound=1259168.423295, norm of subgrad 36.539865 stepsize= 1.000000
+dualbound = 3352530.064357, lowerbound=1260383.064357, norm of subgrad 1123.236424 dualbound = 3352530.064357, lowerbound=1260383.064357, norm of subgrad 37.062664 stepsize= 1.000000
+dualbound = 3352618.304281, lowerbound=1258360.304281, norm of subgrad 1122.318718 dualbound = 3352618.304281, lowerbound=1258360.304281, norm of subgrad 36.431304 stepsize= 1.000000
+dualbound = 3352727.420511, lowerbound=1263480.420511, norm of subgrad 1124.629459 dualbound = 3352727.420511, lowerbound=1263480.420511, norm of subgrad 37.684430 stepsize= 1.000000
+dualbound = 3352776.909965, lowerbound=1256873.909965, norm of subgrad 1121.703575 dualbound = 3352776.909965, lowerbound=1256873.909965, norm of subgrad 37.342863 stepsize= 1.000000
+dualbound = 3352881.790148, lowerbound=1264074.790148, norm of subgrad 1124.882123 dualbound = 3352881.790148, lowerbound=1264074.790148, norm of subgrad 37.281097 stepsize= 1.000000
+dualbound = 3352953.962059, lowerbound=1261847.962059, norm of subgrad 1123.901669 dualbound = 3352953.962059, lowerbound=1261847.962059, norm of subgrad 37.137204 stepsize= 1.000000
+dualbound = 3353075.543948, lowerbound=1260393.543948, norm of subgrad 1123.250882 dualbound = 3353075.543948, lowerbound=1260393.543948, norm of subgrad 37.690607 stepsize= 1.000000
+dualbound = 3353128.241741, lowerbound=1260359.241741, norm of subgrad 1123.241845 dualbound = 3353128.241741, lowerbound=1260359.241741, norm of subgrad 36.955349 stepsize= 1.000000
+dualbound = 3353245.972511, lowerbound=1256859.972511, norm of subgrad 1121.693796 dualbound = 3353245.972511, lowerbound=1256859.972511, norm of subgrad 38.140933 stepsize= 1.000000
+dualbound = 3353307.902428, lowerbound=1258304.902428, norm of subgrad 1122.343041 dualbound = 3353307.902428, lowerbound=1258304.902428, norm of subgrad 37.562347 stepsize= 1.000000
+dualbound = 3353415.670730, lowerbound=1256964.670730, norm of subgrad 1121.715503 dualbound = 3353415.670730, lowerbound=1256964.670730, norm of subgrad 37.266182 stepsize= 1.000000
+dualbound = 3353510.662401, lowerbound=1263098.662401, norm of subgrad 1124.456608 dualbound = 3353510.662401, lowerbound=1263098.662401, norm of subgrad 37.403097 stepsize= 1.000000
+dualbound = 3353602.703778, lowerbound=1261292.703778, norm of subgrad 1123.652840 dualbound = 3353602.703778, lowerbound=1261292.703778, norm of subgrad 37.350253 stepsize= 1.000000
+dualbound = 3353664.921621, lowerbound=1255134.921621, norm of subgrad 1120.919677 dualbound = 3353664.921621, lowerbound=1255134.921621, norm of subgrad 37.258796 stepsize= 1.000000
+dualbound = 3353770.958491, lowerbound=1256407.958491, norm of subgrad 1121.456624 dualbound = 3353770.958491, lowerbound=1256407.958491, norm of subgrad 36.919329 stepsize= 1.000000
+dualbound = 3353880.291997, lowerbound=1261084.291997, norm of subgrad 1123.570332 dualbound = 3353880.291997, lowerbound=1261084.291997, norm of subgrad 37.885796 stepsize= 1.000000
+dualbound = 3353943.554850, lowerbound=1262338.554850, norm of subgrad 1124.114565 dualbound = 3353943.554850, lowerbound=1262338.554850, norm of subgrad 36.854618 stepsize= 1.000000
+dualbound = 3354038.112849, lowerbound=1257550.112849, norm of subgrad 1121.981334 dualbound = 3354038.112849, lowerbound=1257550.112849, norm of subgrad 37.236514 stepsize= 1.000000
+dualbound = 3354127.711368, lowerbound=1259770.711368, norm of subgrad 1122.972267 dualbound = 3354127.711368, lowerbound=1259770.711368, norm of subgrad 37.223629 stepsize= 1.000000
+dualbound = 3354221.006802, lowerbound=1262845.006802, norm of subgrad 1124.334918 dualbound = 3354221.006802, lowerbound=1262845.006802, norm of subgrad 37.111931 stepsize= 1.000000
+dualbound = 3354298.191021, lowerbound=1261205.191021, norm of subgrad 1123.596988 dualbound = 3354298.191021, lowerbound=1261205.191021, norm of subgrad 36.635832 stepsize= 1.000000
+dualbound = 3354401.286520, lowerbound=1262113.286520, norm of subgrad 1123.990341 dualbound = 3354401.286520, lowerbound=1262113.286520, norm of subgrad 36.661908 stepsize= 1.000000
+dualbound = 3354514.648124, lowerbound=1260127.648124, norm of subgrad 1123.090668 dualbound = 3354514.648124, lowerbound=1260127.648124, norm of subgrad 36.309250 stepsize= 1.000000
+dualbound = 3354588.821349, lowerbound=1260410.821349, norm of subgrad 1123.233200 dualbound = 3354588.821349, lowerbound=1260410.821349, norm of subgrad 36.279102 stepsize= 1.000000
+dualbound = 3354673.474355, lowerbound=1257276.474355, norm of subgrad 1121.853143 dualbound = 3354673.474355, lowerbound=1257276.474355, norm of subgrad 36.914130 stepsize= 1.000000
+dualbound = 3354743.556772, lowerbound=1261145.556772, norm of subgrad 1123.560215 dualbound = 3354743.556772, lowerbound=1261145.556772, norm of subgrad 36.222678 stepsize= 1.000000
+dualbound = 3354871.127513, lowerbound=1258057.127513, norm of subgrad 1122.175177 dualbound = 3354871.127513, lowerbound=1258057.127513, norm of subgrad 36.709273 stepsize= 1.000000
+dualbound = 3354945.621254, lowerbound=1267482.621254, norm of subgrad 1126.367889 dualbound = 3354945.621254, lowerbound=1267482.621254, norm of subgrad 36.006857 stepsize= 1.000000
+dualbound = 3355014.146792, lowerbound=1257153.146792, norm of subgrad 1121.804861 dualbound = 3355014.146792, lowerbound=1257153.146792, norm of subgrad 36.898856 stepsize= 1.000000
+dualbound = 3355082.258458, lowerbound=1259327.258458, norm of subgrad 1122.780592 dualbound = 3355082.258458, lowerbound=1259327.258458, norm of subgrad 37.109455 stepsize= 1.000000
+dualbound = 3355187.884631, lowerbound=1258313.884631, norm of subgrad 1122.280662 dualbound = 3355187.884631, lowerbound=1258313.884631, norm of subgrad 36.133450 stepsize= 1.000000
+dualbound = 3355290.536967, lowerbound=1258496.536967, norm of subgrad 1122.393664 dualbound = 3355290.536967, lowerbound=1258496.536967, norm of subgrad 37.062816 stepsize= 1.000000
+dualbound = 3355345.544235, lowerbound=1257431.544235, norm of subgrad 1121.928939 dualbound = 3355345.544235, lowerbound=1257431.544235, norm of subgrad 36.715218 stepsize= 1.000000
+dualbound = 3355444.798594, lowerbound=1259675.798594, norm of subgrad 1122.932678 dualbound = 3355444.798594, lowerbound=1259675.798594, norm of subgrad 37.433332 stepsize= 1.000000
+dualbound = 3355544.334521, lowerbound=1262489.334521, norm of subgrad 1124.159835 dualbound = 3355544.334521, lowerbound=1262489.334521, norm of subgrad 36.681548 stepsize= 1.000000
+dualbound = 3355636.672638, lowerbound=1263175.672638, norm of subgrad 1124.459280 dualbound = 3355636.672638, lowerbound=1263175.672638, norm of subgrad 36.405194 stepsize= 1.000000
+dualbound = 3355743.344278, lowerbound=1260920.344278, norm of subgrad 1123.480015 dualbound = 3355743.344278, lowerbound=1260920.344278, norm of subgrad 37.331912 stepsize= 1.000000
+dualbound = 3355783.280388, lowerbound=1262101.280388, norm of subgrad 1124.045497 dualbound = 3355783.280388, lowerbound=1262101.280388, norm of subgrad 37.642212 stepsize= 1.000000
+dualbound = 3355864.891288, lowerbound=1258225.891288, norm of subgrad 1122.284675 dualbound = 3355864.891288, lowerbound=1258225.891288, norm of subgrad 37.129650 stepsize= 1.000000
+dualbound = 3355975.228605, lowerbound=1264015.228605, norm of subgrad 1124.852981 dualbound = 3355975.228605, lowerbound=1264015.228605, norm of subgrad 37.273815 stepsize= 1.000000
+dualbound = 3356074.985090, lowerbound=1257571.985090, norm of subgrad 1121.982168 dualbound = 3356074.985090, lowerbound=1257571.985090, norm of subgrad 37.037231 stepsize= 1.000000
+dualbound = 3356156.526169, lowerbound=1257518.526169, norm of subgrad 1121.979735 dualbound = 3356156.526169, lowerbound=1257518.526169, norm of subgrad 37.437162 stepsize= 1.000000
+dualbound = 3356236.390557, lowerbound=1256300.390557, norm of subgrad 1121.421594 dualbound = 3356236.390557, lowerbound=1256300.390557, norm of subgrad 36.957603 stepsize= 1.000000
+dualbound = 3356330.392590, lowerbound=1260724.392590, norm of subgrad 1123.387018 dualbound = 3356330.392590, lowerbound=1260724.392590, norm of subgrad 36.986512 stepsize= 1.000000
+dualbound = 3356423.365819, lowerbound=1260771.365819, norm of subgrad 1123.419497 dualbound = 3356423.365819, lowerbound=1260771.365819, norm of subgrad 37.322557 stepsize= 1.000000
+dualbound = 3356510.525830, lowerbound=1259168.525830, norm of subgrad 1122.704559 dualbound = 3356510.525830, lowerbound=1259168.525830, norm of subgrad 37.204301 stepsize= 1.000000
+dualbound = 3356599.565765, lowerbound=1258981.565765, norm of subgrad 1122.627082 dualbound = 3356599.565765, lowerbound=1258981.565765, norm of subgrad 37.403742 stepsize= 1.000000
+dualbound = 3356677.897079, lowerbound=1260273.897079, norm of subgrad 1123.206525 dualbound = 3356677.897079, lowerbound=1260273.897079, norm of subgrad 37.380895 stepsize= 1.000000
+dualbound = 3356773.918166, lowerbound=1262274.918166, norm of subgrad 1124.069356 dualbound = 3356773.918166, lowerbound=1262274.918166, norm of subgrad 36.783435 stepsize= 1.000000
+dualbound = 3356888.895718, lowerbound=1264478.895718, norm of subgrad 1125.042620 dualbound = 3356888.895718, lowerbound=1264478.895718, norm of subgrad 36.837176 stepsize= 1.000000
+dualbound = 3356952.053825, lowerbound=1254648.053825, norm of subgrad 1120.665005 dualbound = 3356952.053825, lowerbound=1254648.053825, norm of subgrad 36.126972 stepsize= 1.000000
+dualbound = 3357056.489332, lowerbound=1261317.489332, norm of subgrad 1123.673658 dualbound = 3357056.489332, lowerbound=1261317.489332, norm of subgrad 37.807876 stepsize= 1.000000
+dualbound = 3357131.163676, lowerbound=1258456.163676, norm of subgrad 1122.367214 dualbound = 3357131.163676, lowerbound=1258456.163676, norm of subgrad 36.423541 stepsize= 1.000000
+dualbound = 3357231.842527, lowerbound=1266462.842527, norm of subgrad 1125.919554 dualbound = 3357231.842527, lowerbound=1266462.842527, norm of subgrad 36.505874 stepsize= 1.000000
+dualbound = 3357299.610104, lowerbound=1259270.610104, norm of subgrad 1122.744677 dualbound = 3357299.610104, lowerbound=1259270.610104, norm of subgrad 36.779989 stepsize= 1.000000
+dualbound = 3357379.078029, lowerbound=1258538.078029, norm of subgrad 1122.416179 dualbound = 3357379.078029, lowerbound=1258538.078029, norm of subgrad 36.870963 stepsize= 1.000000
+dualbound = 3357471.217021, lowerbound=1257525.217021, norm of subgrad 1121.985836 dualbound = 3357471.217021, lowerbound=1257525.217021, norm of subgrad 37.671461 stepsize= 1.000000
+dualbound = 3357576.205466, lowerbound=1258529.205466, norm of subgrad 1122.412226 dualbound = 3357576.205466, lowerbound=1258529.205466, norm of subgrad 37.215433 stepsize= 1.000000
+dualbound = 3357662.023984, lowerbound=1266742.023984, norm of subgrad 1126.052851 dualbound = 3357662.023984, lowerbound=1266742.023984, norm of subgrad 36.589869 stepsize= 1.000000
+dualbound = 3357764.676583, lowerbound=1260521.676583, norm of subgrad 1123.297679 dualbound = 3357764.676583, lowerbound=1260521.676583, norm of subgrad 37.130211 stepsize= 1.000000
+dualbound = 3357828.318374, lowerbound=1261145.318374, norm of subgrad 1123.537858 dualbound = 3357828.318374, lowerbound=1261145.318374, norm of subgrad 35.435036 stepsize= 1.000000
+dualbound = 3357947.022184, lowerbound=1260241.022184, norm of subgrad 1123.156722 dualbound = 3357947.022184, lowerbound=1260241.022184, norm of subgrad 36.860600 stepsize= 1.000000
+dualbound = 3358002.147068, lowerbound=1260266.147068, norm of subgrad 1123.199513 dualbound = 3358002.147068, lowerbound=1260266.147068, norm of subgrad 36.961127 stepsize= 1.000000
+dualbound = 3358109.182329, lowerbound=1261267.182329, norm of subgrad 1123.632583 dualbound = 3358109.182329, lowerbound=1261267.182329, norm of subgrad 37.283177 stepsize= 1.000000
+dualbound = 3358187.500884, lowerbound=1258466.500884, norm of subgrad 1122.364692 dualbound = 3358187.500884, lowerbound=1258466.500884, norm of subgrad 36.253532 stepsize= 1.000000
+dualbound = 3358308.325993, lowerbound=1263016.325993, norm of subgrad 1124.397761 dualbound = 3358308.325993, lowerbound=1263016.325993, norm of subgrad 37.078634 stepsize= 1.000000
+dualbound = 3358378.326965, lowerbound=1265572.326965, norm of subgrad 1125.559562 dualbound = 3358378.326965, lowerbound=1265572.326965, norm of subgrad 37.175274 stepsize= 1.000000
+dualbound = 3358428.609780, lowerbound=1259426.609780, norm of subgrad 1122.827061 dualbound = 3358428.609780, lowerbound=1259426.609780, norm of subgrad 36.936199 stepsize= 1.000000
+dualbound = 3358542.488410, lowerbound=1258541.488410, norm of subgrad 1122.432398 dualbound = 3358542.488410, lowerbound=1258541.488410, norm of subgrad 37.774047 stepsize= 1.000000
+dualbound = 3358627.331988, lowerbound=1260275.331988, norm of subgrad 1123.196035 dualbound = 3358627.331988, lowerbound=1260275.331988, norm of subgrad 37.132783 stepsize= 1.000000
+dualbound = 3358722.502649, lowerbound=1263320.502649, norm of subgrad 1124.545910 dualbound = 3358722.502649, lowerbound=1263320.502649, norm of subgrad 37.123721 stepsize= 1.000000
+dualbound = 3358793.555940, lowerbound=1260023.555940, norm of subgrad 1123.102202 dualbound = 3358793.555940, lowerbound=1260023.555940, norm of subgrad 37.497377 stepsize= 1.000000
+dualbound = 3358910.209889, lowerbound=1262829.209889, norm of subgrad 1124.334118 dualbound = 3358910.209889, lowerbound=1262829.209889, norm of subgrad 37.611886 stepsize= 1.000000
+dualbound = 3358971.198739, lowerbound=1258800.198739, norm of subgrad 1122.561445 dualbound = 3358971.198739, lowerbound=1258800.198739, norm of subgrad 37.483181 stepsize= 1.000000
+dualbound = 3359074.852203, lowerbound=1255321.852203, norm of subgrad 1120.961575 dualbound = 3359074.852203, lowerbound=1255321.852203, norm of subgrad 36.560272 stepsize= 1.000000
+dualbound = 3359169.853332, lowerbound=1262195.853332, norm of subgrad 1124.014170 dualbound = 3359169.853332, lowerbound=1262195.853332, norm of subgrad 36.152471 stepsize= 1.000000
+dualbound = 3359293.492300, lowerbound=1258067.492300, norm of subgrad 1122.160636 dualbound = 3359293.492300, lowerbound=1258067.492300, norm of subgrad 36.064373 stepsize= 1.000000
+dualbound = 3359364.410556, lowerbound=1259130.410556, norm of subgrad 1122.678231 dualbound = 3359364.410556, lowerbound=1259130.410556, norm of subgrad 36.700385 stepsize= 1.000000
+dualbound = 3359439.780467, lowerbound=1261044.780467, norm of subgrad 1123.531388 dualbound = 3359439.780467, lowerbound=1261044.780467, norm of subgrad 36.788176 stepsize= 1.000000
+dualbound = 3359540.313883, lowerbound=1260946.313883, norm of subgrad 1123.455079 dualbound = 3359540.313883, lowerbound=1260946.313883, norm of subgrad 36.132166 stepsize= 1.000000
+dualbound = 3359636.731005, lowerbound=1256228.731005, norm of subgrad 1121.367349 dualbound = 3359636.731005, lowerbound=1256228.731005, norm of subgrad 36.502289 stepsize= 1.000000
+dualbound = 3359727.716455, lowerbound=1267176.716455, norm of subgrad 1126.249402 dualbound = 3359727.716455, lowerbound=1267176.716455, norm of subgrad 36.769355 stepsize= 1.000000
+dualbound = 3359780.777251, lowerbound=1255662.777251, norm of subgrad 1121.143959 dualbound = 3359780.777251, lowerbound=1255662.777251, norm of subgrad 36.797565 stepsize= 1.000000
+dualbound = 3359873.583469, lowerbound=1262243.583469, norm of subgrad 1124.076769 dualbound = 3359873.583469, lowerbound=1262243.583469, norm of subgrad 37.387247 stepsize= 1.000000
+dualbound = 3359957.218298, lowerbound=1262533.218298, norm of subgrad 1124.210042 dualbound = 3359957.218298, lowerbound=1262533.218298, norm of subgrad 37.398327 stepsize= 1.000000
+dualbound = 3360036.466463, lowerbound=1262862.466463, norm of subgrad 1124.351576 dualbound = 3360036.466463, lowerbound=1262862.466463, norm of subgrad 37.192044 stepsize= 1.000000
+dualbound = 3360152.241119, lowerbound=1259355.241119, norm of subgrad 1122.777022 dualbound = 3360152.241119, lowerbound=1259355.241119, norm of subgrad 37.266267 stepsize= 1.000000
+dualbound = 3360194.860377, lowerbound=1260425.860377, norm of subgrad 1123.274615 dualbound = 3360194.860377, lowerbound=1260425.860377, norm of subgrad 36.913673 stepsize= 1.000000
+dualbound = 3360315.134382, lowerbound=1259606.134382, norm of subgrad 1122.895870 dualbound = 3360315.134382, lowerbound=1259606.134382, norm of subgrad 37.540298 stepsize= 1.000000
+dualbound = 3360412.152166, lowerbound=1264961.152166, norm of subgrad 1125.269813 dualbound = 3360412.152166, lowerbound=1264961.152166, norm of subgrad 36.986724 stepsize= 1.000000
+dualbound = 3360507.305895, lowerbound=1256262.305895, norm of subgrad 1121.424231 dualbound = 3360507.305895, lowerbound=1256262.305895, norm of subgrad 37.751208 stepsize= 1.000000
+dualbound = 3360563.290503, lowerbound=1261051.290503, norm of subgrad 1123.550751 dualbound = 3360563.290503, lowerbound=1261051.290503, norm of subgrad 37.026809 stepsize= 1.000000
+dualbound = 3360666.874522, lowerbound=1260973.874522, norm of subgrad 1123.508734 dualbound = 3360666.874522, lowerbound=1260973.874522, norm of subgrad 37.437735 stepsize= 1.000000
+dualbound = 3360749.283692, lowerbound=1263784.283692, norm of subgrad 1124.780994 dualbound = 3360749.283692, lowerbound=1263784.283692, norm of subgrad 37.820751 stepsize= 1.000000
+dualbound = 3360851.896187, lowerbound=1258056.896187, norm of subgrad 1122.221857 dualbound = 3360851.896187, lowerbound=1258056.896187, norm of subgrad 37.783760 stepsize= 1.000000
+dualbound = 3360936.303447, lowerbound=1264017.303447, norm of subgrad 1124.843235 dualbound = 3360936.303447, lowerbound=1264017.303447, norm of subgrad 36.597913 stepsize= 1.000000
+dualbound = 3361048.694750, lowerbound=1262139.694750, norm of subgrad 1124.026109 dualbound = 3361048.694750, lowerbound=1262139.694750, norm of subgrad 37.515214 stepsize= 1.000000
+dualbound = 3361102.707939, lowerbound=1263329.707939, norm of subgrad 1124.549113 dualbound = 3361102.707939, lowerbound=1263329.707939, norm of subgrad 36.537832 stepsize= 1.000000
+dualbound = 3361216.981275, lowerbound=1258031.981275, norm of subgrad 1122.199172 dualbound = 3361216.981275, lowerbound=1258031.981275, norm of subgrad 37.593528 stepsize= 1.000000
+dualbound = 3361294.966524, lowerbound=1261337.966524, norm of subgrad 1123.676985 dualbound = 3361294.966524, lowerbound=1261337.966524, norm of subgrad 37.282506 stepsize= 1.000000
+dualbound = 3361364.484373, lowerbound=1259368.484373, norm of subgrad 1122.769114 dualbound = 3361364.484373, lowerbound=1259368.484373, norm of subgrad 36.214884 stepsize= 1.000000
+dualbound = 3361496.328575, lowerbound=1265997.328575, norm of subgrad 1125.694154 dualbound = 3361496.328575, lowerbound=1265997.328575, norm of subgrad 36.357175 stepsize= 1.000000
+dualbound = 3361562.324965, lowerbound=1259976.324965, norm of subgrad 1123.072271 dualbound = 3361562.324965, lowerbound=1259976.324965, norm of subgrad 37.161760 stepsize= 1.000000
+dualbound = 3361628.155044, lowerbound=1262305.155044, norm of subgrad 1124.117945 dualbound = 3361628.155044, lowerbound=1262305.155044, norm of subgrad 37.441021 stepsize= 1.000000
+dualbound = 3361740.290621, lowerbound=1259218.290621, norm of subgrad 1122.713361 dualbound = 3361740.290621, lowerbound=1259218.290621, norm of subgrad 37.136715 stepsize= 1.000000
+dualbound = 3361805.055409, lowerbound=1260291.055409, norm of subgrad 1123.170092 dualbound = 3361805.055409, lowerbound=1260291.055409, norm of subgrad 35.843616 stepsize= 1.000000
+dualbound = 3361943.532888, lowerbound=1256170.532888, norm of subgrad 1121.332035 dualbound = 3361943.532888, lowerbound=1256170.532888, norm of subgrad 36.789638 stepsize= 1.000000
+dualbound = 3362002.647914, lowerbound=1264385.647914, norm of subgrad 1124.997177 dualbound = 3362002.647914, lowerbound=1264385.647914, norm of subgrad 35.946002 stepsize= 1.000000
+dualbound = 3362105.028642, lowerbound=1264187.028642, norm of subgrad 1124.938233 dualbound = 3362105.028642, lowerbound=1264187.028642, norm of subgrad 37.435020 stepsize= 1.000000
+dualbound = 3362135.032034, lowerbound=1259249.032034, norm of subgrad 1122.763569 dualbound = 3362135.032034, lowerbound=1259249.032034, norm of subgrad 37.134935 stepsize= 1.000000
+dualbound = 3362239.723712, lowerbound=1260295.723712, norm of subgrad 1123.213125 dualbound = 3362239.723712, lowerbound=1260295.723712, norm of subgrad 37.638965 stepsize= 1.000000
+dualbound = 3362332.547623, lowerbound=1260885.547623, norm of subgrad 1123.435155 dualbound = 3362332.547623, lowerbound=1260885.547623, norm of subgrad 36.246709 stepsize= 1.000000
+dualbound = 3362449.415848, lowerbound=1258159.415848, norm of subgrad 1122.218524 dualbound = 3362449.415848, lowerbound=1258159.415848, norm of subgrad 36.494770 stepsize= 1.000000
+dualbound = 3362527.637739, lowerbound=1264287.637739, norm of subgrad 1124.977617 dualbound = 3362527.637739, lowerbound=1264287.637739, norm of subgrad 36.948909 stepsize= 1.000000
+dualbound = 3362599.079297, lowerbound=1263013.079297, norm of subgrad 1124.416328 dualbound = 3362599.079297, lowerbound=1263013.079297, norm of subgrad 37.019475 stepsize= 1.000000
+dualbound = 3362692.979211, lowerbound=1260146.979211, norm of subgrad 1123.129102 dualbound = 3362692.979211, lowerbound=1260146.979211, norm of subgrad 36.958083 stepsize= 1.000000
+dualbound = 3362776.367251, lowerbound=1261074.367251, norm of subgrad 1123.551675 dualbound = 3362776.367251, lowerbound=1261074.367251, norm of subgrad 37.113179 stepsize= 1.000000
+dualbound = 3362861.883078, lowerbound=1264221.883078, norm of subgrad 1125.000392 dualbound = 3362861.883078, lowerbound=1264221.883078, norm of subgrad 38.594246 stepsize= 1.000000
+dualbound = 3362917.722983, lowerbound=1259750.722983, norm of subgrad 1122.975834 dualbound = 3362917.722983, lowerbound=1259750.722983, norm of subgrad 37.146196 stepsize= 1.000000
+dualbound = 3363049.980461, lowerbound=1263409.980461, norm of subgrad 1124.563018 dualbound = 3363049.980461, lowerbound=1263409.980461, norm of subgrad 36.935856 stepsize= 1.000000
+dualbound = 3363134.459585, lowerbound=1262408.459585, norm of subgrad 1124.121639 dualbound = 3363134.459585, lowerbound=1262408.459585, norm of subgrad 36.407130 stepsize= 1.000000
+dualbound = 3363255.310716, lowerbound=1262121.310716, norm of subgrad 1123.976117 dualbound = 3363255.310716, lowerbound=1262121.310716, norm of subgrad 36.357271 stepsize= 1.000000
+dualbound = 3363335.053164, lowerbound=1257912.053164, norm of subgrad 1122.126131 dualbound = 3363335.053164, lowerbound=1257912.053164, norm of subgrad 36.534127 stepsize= 1.000000
+dualbound = 3363412.522792, lowerbound=1261319.522792, norm of subgrad 1123.651869 dualbound = 3363412.522792, lowerbound=1261319.522792, norm of subgrad 36.762340 stepsize= 1.000000
+dualbound = 3363503.630913, lowerbound=1257917.630913, norm of subgrad 1122.125943 dualbound = 3363503.630913, lowerbound=1257917.630913, norm of subgrad 36.607487 stepsize= 1.000000
+dualbound = 3363587.477342, lowerbound=1260894.477342, norm of subgrad 1123.448921 dualbound = 3363587.477342, lowerbound=1260894.477342, norm of subgrad 36.425903 stepsize= 1.000000
+dualbound = 3363678.794951, lowerbound=1259134.794951, norm of subgrad 1122.681965 dualbound = 3363678.794951, lowerbound=1259134.794951, norm of subgrad 37.031306 stepsize= 1.000000
+dualbound = 3363755.423284, lowerbound=1258899.423284, norm of subgrad 1122.605640 dualbound = 3363755.423284, lowerbound=1258899.423284, norm of subgrad 37.691224 stepsize= 1.000000
+dualbound = 3363812.821727, lowerbound=1262884.821727, norm of subgrad 1124.397537 dualbound = 3363812.821727, lowerbound=1262884.821727, norm of subgrad 37.978921 stepsize= 1.000000
+dualbound = 3363922.975807, lowerbound=1259994.975807, norm of subgrad 1123.066327 dualbound = 3363922.975807, lowerbound=1259994.975807, norm of subgrad 37.324979 stepsize= 1.000000
+dualbound = 3364033.374257, lowerbound=1259494.374257, norm of subgrad 1122.843878 dualbound = 3364033.374257, lowerbound=1259494.374257, norm of subgrad 37.341645 stepsize= 1.000000
+dualbound = 3364086.047725, lowerbound=1263079.047725, norm of subgrad 1124.456779 dualbound = 3364086.047725, lowerbound=1263079.047725, norm of subgrad 37.103551 stepsize= 1.000000
+dualbound = 3364200.105461, lowerbound=1260550.105461, norm of subgrad 1123.310334 dualbound = 3364200.105461, lowerbound=1260550.105461, norm of subgrad 37.283478 stepsize= 1.000000
+dualbound = 3364292.567923, lowerbound=1258289.567923, norm of subgrad 1122.311707 dualbound = 3364292.567923, lowerbound=1258289.567923, norm of subgrad 37.235231 stepsize= 1.000000
+dualbound = 3364346.784704, lowerbound=1262550.784704, norm of subgrad 1124.245429 dualbound = 3364346.784704, lowerbound=1262550.784704, norm of subgrad 37.831426 stepsize= 1.000000
+dualbound = 3364441.416556, lowerbound=1257572.416556, norm of subgrad 1121.997512 dualbound = 3364441.416556, lowerbound=1257572.416556, norm of subgrad 37.425016 stepsize= 1.000000
+dualbound = 3364531.668757, lowerbound=1262235.668757, norm of subgrad 1124.066577 dualbound = 3364531.668757, lowerbound=1262235.668757, norm of subgrad 37.151746 stepsize= 1.000000
+dualbound = 3364619.260880, lowerbound=1266621.260880, norm of subgrad 1126.031199 dualbound = 3364619.260880, lowerbound=1266621.260880, norm of subgrad 37.584467 stepsize= 1.000000
+dualbound = 3364715.496538, lowerbound=1256824.496538, norm of subgrad 1121.659706 dualbound = 3364715.496538, lowerbound=1256824.496538, norm of subgrad 37.312674 stepsize= 1.000000
+dualbound = 3364785.799353, lowerbound=1263379.799353, norm of subgrad 1124.562937 dualbound = 3364785.799353, lowerbound=1263379.799353, norm of subgrad 36.500723 stepsize= 1.000000
+dualbound = 3364904.369047, lowerbound=1262819.369047, norm of subgrad 1124.322627 dualbound = 3364904.369047, lowerbound=1262819.369047, norm of subgrad 37.424186 stepsize= 1.000000
+dualbound = 3364971.769218, lowerbound=1262843.769218, norm of subgrad 1124.333922 dualbound = 3364971.769218, lowerbound=1262843.769218, norm of subgrad 36.747791 stepsize= 1.000000
+dualbound = 3365097.291405, lowerbound=1260644.291405, norm of subgrad 1123.352701 dualbound = 3365097.291405, lowerbound=1260644.291405, norm of subgrad 37.450263 stepsize= 1.000000
+dualbound = 3365142.206598, lowerbound=1258560.206598, norm of subgrad 1122.451873 dualbound = 3365142.206598, lowerbound=1258560.206598, norm of subgrad 37.187568 stepsize= 1.000000
+dualbound = 3365247.318315, lowerbound=1257861.318315, norm of subgrad 1122.114218 dualbound = 3365247.318315, lowerbound=1257861.318315, norm of subgrad 37.203652 stepsize= 1.000000
+dualbound = 3365333.494948, lowerbound=1261647.494948, norm of subgrad 1123.778668 dualbound = 3365333.494948, lowerbound=1261647.494948, norm of subgrad 36.292928 stepsize= 1.000000
+dualbound = 3365420.732557, lowerbound=1260039.732557, norm of subgrad 1123.075123 dualbound = 3365420.732557, lowerbound=1260039.732557, norm of subgrad 36.677481 stepsize= 1.000000
+dualbound = 3365521.461123, lowerbound=1265176.461123, norm of subgrad 1125.351261 dualbound = 3365521.461123, lowerbound=1265176.461123, norm of subgrad 36.602303 stepsize= 1.000000
+dualbound = 3365602.952752, lowerbound=1258343.952752, norm of subgrad 1122.304305 dualbound = 3365602.952752, lowerbound=1258343.952752, norm of subgrad 36.117747 stepsize= 1.000000
+dualbound = 3365691.763086, lowerbound=1267089.763086, norm of subgrad 1126.205915 dualbound = 3365691.763086, lowerbound=1267089.763086, norm of subgrad 36.589757 stepsize= 1.000000
+dualbound = 3365771.978719, lowerbound=1258226.978719, norm of subgrad 1122.296297 dualbound = 3365771.978719, lowerbound=1258226.978719, norm of subgrad 37.446170 stepsize= 1.000000
+dualbound = 3365856.871999, lowerbound=1264644.871999, norm of subgrad 1125.120381 dualbound = 3365856.871999, lowerbound=1264644.871999, norm of subgrad 36.549874 stepsize= 1.000000
+dualbound = 3365938.093010, lowerbound=1255684.093010, norm of subgrad 1121.154357 dualbound = 3365938.093010, lowerbound=1255684.093010, norm of subgrad 37.205121 stepsize= 1.000000
+dualbound = 3366048.225260, lowerbound=1263729.225260, norm of subgrad 1124.689391 dualbound = 3366048.225260, lowerbound=1263729.225260, norm of subgrad 36.154284 stepsize= 1.000000
+dualbound = 3366155.492474, lowerbound=1263302.492474, norm of subgrad 1124.489436 dualbound = 3366155.492474, lowerbound=1263302.492474, norm of subgrad 35.794793 stepsize= 1.000000
+dualbound = 3366240.456742, lowerbound=1263885.456742, norm of subgrad 1124.772624 dualbound = 3366240.456742, lowerbound=1263885.456742, norm of subgrad 36.234849 stepsize= 1.000000
+dualbound = 3366303.178624, lowerbound=1262925.178624, norm of subgrad 1124.377685 dualbound = 3366303.178624, lowerbound=1262925.178624, norm of subgrad 36.915063 stepsize= 1.000000
+dualbound = 3366386.918818, lowerbound=1258799.918818, norm of subgrad 1122.515888 dualbound = 3366386.918818, lowerbound=1258799.918818, norm of subgrad 36.410715 stepsize= 1.000000
+dualbound = 3366489.294987, lowerbound=1255384.294987, norm of subgrad 1120.975600 dualbound = 3366489.294987, lowerbound=1255384.294987, norm of subgrad 36.116148 stepsize= 1.000000
+dualbound = 3366579.029158, lowerbound=1261922.029158, norm of subgrad 1123.897695 dualbound = 3366579.029158, lowerbound=1261922.029158, norm of subgrad 36.245471 stepsize= 1.000000
+dualbound = 3366665.631229, lowerbound=1263013.631229, norm of subgrad 1124.399676 dualbound = 3366665.631229, lowerbound=1263013.631229, norm of subgrad 36.709700 stepsize= 1.000000
+dualbound = 3366721.337531, lowerbound=1266046.337531, norm of subgrad 1125.761226 dualbound = 3366721.337531, lowerbound=1266046.337531, norm of subgrad 36.711120 stepsize= 1.000000
+dualbound = 3366829.827786, lowerbound=1265376.827786, norm of subgrad 1125.446502 dualbound = 3366829.827786, lowerbound=1265376.827786, norm of subgrad 36.898377 stepsize= 1.000000
+dualbound = 3366909.941147, lowerbound=1264546.941147, norm of subgrad 1125.091970 dualbound = 3366909.941147, lowerbound=1264546.941147, norm of subgrad 36.947441 stepsize= 1.000000
+dualbound = 3366982.745285, lowerbound=1258073.745285, norm of subgrad 1122.229809 dualbound = 3366982.745285, lowerbound=1258073.745285, norm of subgrad 37.400590 stepsize= 1.000000
+dualbound = 3367066.247787, lowerbound=1263859.247787, norm of subgrad 1124.795647 dualbound = 3367066.247787, lowerbound=1263859.247787, norm of subgrad 37.276031 stepsize= 1.000000
+dualbound = 3367160.626913, lowerbound=1258665.626913, norm of subgrad 1122.496159 dualbound = 3367160.626913, lowerbound=1258665.626913, norm of subgrad 37.767435 stepsize= 1.000000
+dualbound = 3367251.099765, lowerbound=1261836.099765, norm of subgrad 1123.898171 dualbound = 3367251.099765, lowerbound=1261836.099765, norm of subgrad 37.436251 stepsize= 1.000000
+dualbound = 3367329.111709, lowerbound=1259481.111709, norm of subgrad 1122.832629 dualbound = 3367329.111709, lowerbound=1259481.111709, norm of subgrad 36.742509 stepsize= 1.000000
+dualbound = 3367448.983604, lowerbound=1258970.983604, norm of subgrad 1122.592082 dualbound = 3367448.983604, lowerbound=1258970.983604, norm of subgrad 36.903549 stepsize= 1.000000
+dualbound = 3367526.499406, lowerbound=1263099.499406, norm of subgrad 1124.440972 dualbound = 3367526.499406, lowerbound=1263099.499406, norm of subgrad 36.681273 stepsize= 1.000000
+dualbound = 3367631.713693, lowerbound=1263766.713693, norm of subgrad 1124.728284 dualbound = 3367631.713693, lowerbound=1263766.713693, norm of subgrad 36.772466 stepsize= 1.000000
+dualbound = 3367699.318917, lowerbound=1262848.318917, norm of subgrad 1124.350621 dualbound = 3367699.318917, lowerbound=1262848.318917, norm of subgrad 37.196844 stepsize= 1.000000
+dualbound = 3367769.080882, lowerbound=1263738.080882, norm of subgrad 1124.704886 dualbound = 3367769.080882, lowerbound=1263738.080882, norm of subgrad 35.954999 stepsize= 1.000000
+dualbound = 3367877.520744, lowerbound=1263408.520744, norm of subgrad 1124.592602 dualbound = 3367877.520744, lowerbound=1263408.520744, norm of subgrad 37.529187 stepsize= 1.000000
+dualbound = 3367942.901081, lowerbound=1260912.901081, norm of subgrad 1123.477148 dualbound = 3367942.901081, lowerbound=1260912.901081, norm of subgrad 36.788318 stepsize= 1.000000
+dualbound = 3368061.890552, lowerbound=1263694.890552, norm of subgrad 1124.698133 dualbound = 3368061.890552, lowerbound=1263694.890552, norm of subgrad 37.013369 stepsize= 1.000000
+dualbound = 3368140.699287, lowerbound=1261312.699287, norm of subgrad 1123.650613 dualbound = 3368140.699287, lowerbound=1261312.699287, norm of subgrad 36.834885 stepsize= 1.000000
+dualbound = 3368223.717378, lowerbound=1263573.717378, norm of subgrad 1124.647819 dualbound = 3368223.717378, lowerbound=1263573.717378, norm of subgrad 36.633565 stepsize= 1.000000
+dualbound = 3368284.215412, lowerbound=1262363.215412, norm of subgrad 1124.176239 dualbound = 3368284.215412, lowerbound=1262363.215412, norm of subgrad 38.334032 stepsize= 1.000000
+dualbound = 3368364.483357, lowerbound=1264349.483357, norm of subgrad 1125.018437 dualbound = 3368364.483357, lowerbound=1264349.483357, norm of subgrad 37.380047 stepsize= 1.000000
+dualbound = 3368455.876321, lowerbound=1258258.876321, norm of subgrad 1122.289123 dualbound = 3368455.876321, lowerbound=1258258.876321, norm of subgrad 36.951224 stepsize= 1.000000
+dualbound = 3368563.127413, lowerbound=1259488.127413, norm of subgrad 1122.851338 dualbound = 3368563.127413, lowerbound=1259488.127413, norm of subgrad 37.606530 stepsize= 1.000000
+dualbound = 3368637.092107, lowerbound=1260324.092107, norm of subgrad 1123.212398 dualbound = 3368637.092107, lowerbound=1260324.092107, norm of subgrad 36.823426 stepsize= 1.000000
+dualbound = 3368755.870476, lowerbound=1259790.870476, norm of subgrad 1122.959425 dualbound = 3368755.870476, lowerbound=1259790.870476, norm of subgrad 36.956439 stepsize= 1.000000
+dualbound = 3368859.453756, lowerbound=1257906.453756, norm of subgrad 1122.122745 dualbound = 3368859.453756, lowerbound=1257906.453756, norm of subgrad 36.831824 stepsize= 1.000000
+dualbound = 3368942.754739, lowerbound=1265524.754739, norm of subgrad 1125.510442 dualbound = 3368942.754739, lowerbound=1265524.754739, norm of subgrad 36.500698 stepsize= 1.000000
+dualbound = 3369014.000869, lowerbound=1262779.000869, norm of subgrad 1124.292222 dualbound = 3369014.000869, lowerbound=1262779.000869, norm of subgrad 36.403930 stepsize= 1.000000
+dualbound = 3369103.762982, lowerbound=1260051.762982, norm of subgrad 1123.080479 dualbound = 3369103.762982, lowerbound=1260051.762982, norm of subgrad 36.711880 stepsize= 1.000000
+dualbound = 3369183.542707, lowerbound=1259915.542707, norm of subgrad 1123.012708 dualbound = 3369183.542707, lowerbound=1259915.542707, norm of subgrad 36.356289 stepsize= 1.000000
+dualbound = 3369283.678389, lowerbound=1262001.678389, norm of subgrad 1123.957596 dualbound = 3369283.678389, lowerbound=1262001.678389, norm of subgrad 37.136716 stepsize= 1.000000
+dualbound = 3369338.645995, lowerbound=1262664.645995, norm of subgrad 1124.296067 dualbound = 3369338.645995, lowerbound=1262664.645995, norm of subgrad 37.841348 stepsize= 1.000000
+dualbound = 3369450.218278, lowerbound=1263036.218278, norm of subgrad 1124.403050 dualbound = 3369450.218278, lowerbound=1263036.218278, norm of subgrad 36.845248 stepsize= 1.000000
+dualbound = 3369528.737775, lowerbound=1264716.737775, norm of subgrad 1125.171426 dualbound = 3369528.737775, lowerbound=1264716.737775, norm of subgrad 37.047530 stepsize= 1.000000
+dualbound = 3369641.277477, lowerbound=1261692.277477, norm of subgrad 1123.794144 dualbound = 3369641.277477, lowerbound=1261692.277477, norm of subgrad 36.517663 stepsize= 1.000000
+dualbound = 3369689.401733, lowerbound=1259235.401733, norm of subgrad 1122.757499 dualbound = 3369689.401733, lowerbound=1259235.401733, norm of subgrad 37.378125 stepsize= 1.000000
+dualbound = 3369783.318360, lowerbound=1260323.318360, norm of subgrad 1123.230750 dualbound = 3369783.318360, lowerbound=1260323.318360, norm of subgrad 37.655234 stepsize= 1.000000
+dualbound = 3369863.590149, lowerbound=1263220.590149, norm of subgrad 1124.482365 dualbound = 3369863.590149, lowerbound=1263220.590149, norm of subgrad 36.335544 stepsize= 1.000000
+dualbound = 3370005.365145, lowerbound=1261774.365145, norm of subgrad 1123.842678 dualbound = 3370005.365145, lowerbound=1261774.365145, norm of subgrad 37.279686 stepsize= 1.000000
+dualbound = 3370058.847824, lowerbound=1264958.847824, norm of subgrad 1125.299892 dualbound = 3370058.847824, lowerbound=1264958.847824, norm of subgrad 37.342773 stepsize= 1.000000
+dualbound = 3370122.434114, lowerbound=1264112.434114, norm of subgrad 1124.920635 dualbound = 3370122.434114, lowerbound=1264112.434114, norm of subgrad 37.384305 stepsize= 1.000000
+dualbound = 3370219.416363, lowerbound=1257796.416363, norm of subgrad 1122.088417 dualbound = 3370219.416363, lowerbound=1257796.416363, norm of subgrad 37.188469 stepsize= 1.000000
+dualbound = 3370304.524777, lowerbound=1258431.524777, norm of subgrad 1122.333518 dualbound = 3370304.524777, lowerbound=1258431.524777, norm of subgrad 35.862354 stepsize= 1.000000
+dualbound = 3370419.091839, lowerbound=1263261.091839, norm of subgrad 1124.487924 dualbound = 3370419.091839, lowerbound=1263261.091839, norm of subgrad 36.422068 stepsize= 1.000000
+dualbound = 3370511.147009, lowerbound=1261405.147009, norm of subgrad 1123.669056 dualbound = 3370511.147009, lowerbound=1261405.147009, norm of subgrad 36.318799 stepsize= 1.000000
+dualbound = 3370574.855891, lowerbound=1262446.855891, norm of subgrad 1124.140941 dualbound = 3370574.855891, lowerbound=1262446.855891, norm of subgrad 36.189900 stepsize= 1.000000
+dualbound = 3370678.377289, lowerbound=1262090.377289, norm of subgrad 1123.993940 dualbound = 3370678.377289, lowerbound=1262090.377289, norm of subgrad 37.088022 stepsize= 1.000000
+dualbound = 3370762.022150, lowerbound=1261715.022150, norm of subgrad 1123.853648 dualbound = 3370762.022150, lowerbound=1261715.022150, norm of subgrad 37.625056 stepsize= 1.000000
+dualbound = 3370833.029050, lowerbound=1264228.029050, norm of subgrad 1124.955568 dualbound = 3370833.029050, lowerbound=1264228.029050, norm of subgrad 36.986577 stepsize= 1.000000
+dualbound = 3370935.427384, lowerbound=1269241.427384, norm of subgrad 1127.181630 dualbound = 3370935.427384, lowerbound=1269241.427384, norm of subgrad 37.408533 stepsize= 1.000000
+dualbound = 3371016.745293, lowerbound=1260527.745293, norm of subgrad 1123.299936 dualbound = 3371016.745293, lowerbound=1260527.745293, norm of subgrad 36.828222 stepsize= 1.000000
+dualbound = 3371101.996290, lowerbound=1260903.996290, norm of subgrad 1123.486981 dualbound = 3371101.996290, lowerbound=1260903.996290, norm of subgrad 37.473337 stepsize= 1.000000
+dualbound = 3371170.033891, lowerbound=1260150.033891, norm of subgrad 1123.132242 dualbound = 3371170.033891, lowerbound=1260150.033891, norm of subgrad 36.661118 stepsize= 1.000000
+dualbound = 3371255.456326, lowerbound=1262599.456326, norm of subgrad 1124.225714 dualbound = 3371255.456326, lowerbound=1262599.456326, norm of subgrad 37.005708 stepsize= 1.000000
+dualbound = 3371360.600583, lowerbound=1259437.600583, norm of subgrad 1122.816815 dualbound = 3371360.600583, lowerbound=1259437.600583, norm of subgrad 37.217526 stepsize= 1.000000
+dualbound = 3371437.017637, lowerbound=1264305.017637, norm of subgrad 1124.992008 dualbound = 3371437.017637, lowerbound=1264305.017637, norm of subgrad 37.127039 stepsize= 1.000000
+dualbound = 3371543.471934, lowerbound=1258598.471934, norm of subgrad 1122.453327 dualbound = 3371543.471934, lowerbound=1258598.471934, norm of subgrad 37.542700 stepsize= 1.000000
+dualbound = 3371636.726097, lowerbound=1263646.726097, norm of subgrad 1124.675832 dualbound = 3371636.726097, lowerbound=1263646.726097, norm of subgrad 36.636787 stepsize= 1.000000
+dualbound = 3371726.650295, lowerbound=1261584.650295, norm of subgrad 1123.754266 dualbound = 3371726.650295, lowerbound=1261584.650295, norm of subgrad 36.454413 stepsize= 1.000000
+dualbound = 3371820.596179, lowerbound=1267854.596179, norm of subgrad 1126.534330 dualbound = 3371820.596179, lowerbound=1267854.596179, norm of subgrad 36.317295 stepsize= 1.000000
+dualbound = 3371913.100600, lowerbound=1262741.100600, norm of subgrad 1124.285151 dualbound = 3371913.100600, lowerbound=1262741.100600, norm of subgrad 36.993302 stepsize= 1.000000
+dualbound = 3371962.374634, lowerbound=1264316.374634, norm of subgrad 1124.996166 dualbound = 3371962.374634, lowerbound=1264316.374634, norm of subgrad 36.732466 stepsize= 1.000000
+dualbound = 3372062.118130, lowerbound=1261939.118130, norm of subgrad 1123.946671 dualbound = 3372062.118130, lowerbound=1261939.118130, norm of subgrad 37.639653 stepsize= 1.000000
+dualbound = 3372130.874906, lowerbound=1260274.874906, norm of subgrad 1123.195831 dualbound = 3372130.874906, lowerbound=1260274.874906, norm of subgrad 36.915536 stepsize= 1.000000
+dualbound = 3372225.689708, lowerbound=1263374.689708, norm of subgrad 1124.595345 dualbound = 3372225.689708, lowerbound=1263374.689708, norm of subgrad 37.878949 stepsize= 1.000000
+dualbound = 3372318.549642, lowerbound=1260863.549642, norm of subgrad 1123.468980 dualbound = 3372318.549642, lowerbound=1260863.549642, norm of subgrad 37.574725 stepsize= 1.000000
+dualbound = 3372414.597880, lowerbound=1264038.597880, norm of subgrad 1124.869591 dualbound = 3372414.597880, lowerbound=1264038.597880, norm of subgrad 37.269937 stepsize= 1.000000
+dualbound = 3372489.920777, lowerbound=1265050.920777, norm of subgrad 1125.334582 dualbound = 3372489.920777, lowerbound=1265050.920777, norm of subgrad 37.447602 stepsize= 1.000000
+dualbound = 3372569.696240, lowerbound=1259467.696240, norm of subgrad 1122.869848 dualbound = 3372569.696240, lowerbound=1259467.696240, norm of subgrad 38.062783 stepsize= 1.000000
+dualbound = 3372656.348047, lowerbound=1263852.348047, norm of subgrad 1124.787690 dualbound = 3372656.348047, lowerbound=1263852.348047, norm of subgrad 37.170577 stepsize= 1.000000
+dualbound = 3372779.923761, lowerbound=1263370.923761, norm of subgrad 1124.544318 dualbound = 3372779.923761, lowerbound=1263370.923761, norm of subgrad 36.777380 stepsize= 1.000000
+dualbound = 3372862.838341, lowerbound=1262309.838341, norm of subgrad 1124.057311 dualbound = 3372862.838341, lowerbound=1262309.838341, norm of subgrad 35.747931 stepsize= 1.000000
+dualbound = 3372952.244599, lowerbound=1262656.244599, norm of subgrad 1124.253194 dualbound = 3372952.244599, lowerbound=1262656.244599, norm of subgrad 37.126894 stepsize= 1.000000
+dualbound = 3373023.898899, lowerbound=1261951.898899, norm of subgrad 1123.929223 dualbound = 3373023.898899, lowerbound=1261951.898899, norm of subgrad 36.560283 stepsize= 1.000000
+dualbound = 3373110.128859, lowerbound=1259847.128859, norm of subgrad 1123.010298 dualbound = 3373110.128859, lowerbound=1259847.128859, norm of subgrad 37.299195 stepsize= 1.000000
+dualbound = 3373194.653225, lowerbound=1265286.653225, norm of subgrad 1125.398886 dualbound = 3373194.653225, lowerbound=1265286.653225, norm of subgrad 36.339020 stepsize= 1.000000
+dualbound = 3373310.991410, lowerbound=1258332.991410, norm of subgrad 1122.319469 dualbound = 3373310.991410, lowerbound=1258332.991410, norm of subgrad 37.206695 stepsize= 1.000000
+dualbound = 3373361.094567, lowerbound=1270315.094567, norm of subgrad 1127.660895 dualbound = 3373361.094567, lowerbound=1270315.094567, norm of subgrad 36.798141 stepsize= 1.000000
+dualbound = 3373454.847957, lowerbound=1257978.847957, norm of subgrad 1122.181290 dualbound = 3373454.847957, lowerbound=1257978.847957, norm of subgrad 37.493378 stepsize= 1.000000
+dualbound = 3373537.159528, lowerbound=1265425.159528, norm of subgrad 1125.482634 dualbound = 3373537.159528, lowerbound=1265425.159528, norm of subgrad 36.990696 stepsize= 1.000000
+dualbound = 3373640.065763, lowerbound=1261416.065763, norm of subgrad 1123.708621 dualbound = 3373640.065763, lowerbound=1261416.065763, norm of subgrad 37.522077 stepsize= 1.000000
+dualbound = 3373697.499895, lowerbound=1266240.499895, norm of subgrad 1125.856785 dualbound = 3373697.499895, lowerbound=1266240.499895, norm of subgrad 37.019375 stepsize= 1.000000
+dualbound = 3373812.334425, lowerbound=1260337.334425, norm of subgrad 1123.218293 dualbound = 3373812.334425, lowerbound=1260337.334425, norm of subgrad 37.374250 stepsize= 1.000000
+dualbound = 3373903.525026, lowerbound=1266222.525026, norm of subgrad 1125.859016 dualbound = 3373903.525026, lowerbound=1266222.525026, norm of subgrad 37.778176 stepsize= 1.000000
+dualbound = 3373958.588313, lowerbound=1260222.588313, norm of subgrad 1123.182349 dualbound = 3373958.588313, lowerbound=1260222.588313, norm of subgrad 37.027872 stepsize= 1.000000
+dualbound = 3374061.657429, lowerbound=1266646.657429, norm of subgrad 1126.010505 dualbound = 3374061.657429, lowerbound=1266646.657429, norm of subgrad 36.824844 stepsize= 1.000000
+dualbound = 3374154.894423, lowerbound=1261594.894423, norm of subgrad 1123.765943 dualbound = 3374154.894423, lowerbound=1261594.894423, norm of subgrad 36.718347 stepsize= 1.000000
+dualbound = 3374244.874519, lowerbound=1265223.874519, norm of subgrad 1125.359442 dualbound = 3374244.874519, lowerbound=1265223.874519, norm of subgrad 36.055237 stepsize= 1.000000
+dualbound = 3374347.366251, lowerbound=1258737.366251, norm of subgrad 1122.478225 dualbound = 3374347.366251, lowerbound=1258737.366251, norm of subgrad 36.366079 stepsize= 1.000000
+dualbound = 3374443.498543, lowerbound=1265616.498543, norm of subgrad 1125.535205 dualbound = 3374443.498543, lowerbound=1265616.498543, norm of subgrad 36.181933 stepsize= 1.000000
+dualbound = 3374520.737076, lowerbound=1257226.737076, norm of subgrad 1121.799776 dualbound = 3374520.737076, lowerbound=1257226.737076, norm of subgrad 35.850224 stepsize= 1.000000
+dualbound = 3374599.854596, lowerbound=1268109.854596, norm of subgrad 1126.656937 dualbound = 3374599.854596, lowerbound=1268109.854596, norm of subgrad 36.402164 stepsize= 1.000000
+dualbound = 3374684.471628, lowerbound=1263273.471628, norm of subgrad 1124.530334 dualbound = 3374684.471628, lowerbound=1263273.471628, norm of subgrad 37.143196 stepsize= 1.000000
+dualbound = 3374760.678172, lowerbound=1262117.678172, norm of subgrad 1124.022988 dualbound = 3374760.678172, lowerbound=1262117.678172, norm of subgrad 37.231795 stepsize= 1.000000
+dualbound = 3374835.833036, lowerbound=1264185.833036, norm of subgrad 1124.928368 dualbound = 3374835.833036, lowerbound=1264185.833036, norm of subgrad 36.785253 stepsize= 1.000000
+dualbound = 3374945.354938, lowerbound=1260048.354938, norm of subgrad 1123.080298 dualbound = 3374945.354938, lowerbound=1260048.354938, norm of subgrad 37.020561 stepsize= 1.000000
+dualbound = 3375004.837484, lowerbound=1261837.837484, norm of subgrad 1123.916740 dualbound = 3375004.837484, lowerbound=1261837.837484, norm of subgrad 37.556392 stepsize= 1.000000
+dualbound = 3375098.761628, lowerbound=1263295.761628, norm of subgrad 1124.539800 dualbound = 3375098.761628, lowerbound=1263295.761628, norm of subgrad 37.254854 stepsize= 1.000000
+dualbound = 3375198.009814, lowerbound=1265978.009814, norm of subgrad 1125.716665 dualbound = 3375198.009814, lowerbound=1265978.009814, norm of subgrad 36.867983 stepsize= 1.000000
+dualbound = 3375301.153940, lowerbound=1265496.153940, norm of subgrad 1125.537273 dualbound = 3375301.153940, lowerbound=1265496.153940, norm of subgrad 37.962404 stepsize= 1.000000
+dualbound = 3375362.226912, lowerbound=1266153.226912, norm of subgrad 1125.829129 dualbound = 3375362.226912, lowerbound=1266153.226912, norm of subgrad 37.404184 stepsize= 1.000000
+dualbound = 3375445.067922, lowerbound=1265280.067922, norm of subgrad 1125.435946 dualbound = 3375445.067922, lowerbound=1265280.067922, norm of subgrad 37.534531 stepsize= 1.000000
+dualbound = 3375541.145875, lowerbound=1256237.145875, norm of subgrad 1121.413459 dualbound = 3375541.145875, lowerbound=1256237.145875, norm of subgrad 37.776685 stepsize= 1.000000
+dualbound = 3375623.178465, lowerbound=1269857.178465, norm of subgrad 1127.447195 dualbound = 3375623.178465, lowerbound=1269857.178465, norm of subgrad 36.905726 stepsize= 1.000000
+dualbound = 3375727.075232, lowerbound=1261624.075232, norm of subgrad 1123.798503 dualbound = 3375727.075232, lowerbound=1261624.075232, norm of subgrad 37.455264 stepsize= 1.000000
+dualbound = 3375802.504924, lowerbound=1264211.504924, norm of subgrad 1124.906443 dualbound = 3375802.504924, lowerbound=1264211.504924, norm of subgrad 35.755135 stepsize= 1.000000
+dualbound = 3375906.955106, lowerbound=1263464.955106, norm of subgrad 1124.626585 dualbound = 3375906.955106, lowerbound=1263464.955106, norm of subgrad 37.741889 stepsize= 1.000000
+dualbound = 3375947.354510, lowerbound=1266550.354510, norm of subgrad 1125.958416 dualbound = 3375947.354510, lowerbound=1266550.354510, norm of subgrad 35.670708 stepsize= 1.000000
+dualbound = 3376067.507113, lowerbound=1255467.507113, norm of subgrad 1121.072035 dualbound = 3376067.507113, lowerbound=1255467.507113, norm of subgrad 38.146463 stepsize= 1.000000
+dualbound = 3376119.294545, lowerbound=1262731.294545, norm of subgrad 1124.283903 dualbound = 3376119.294545, lowerbound=1262731.294545, norm of subgrad 36.534743 stepsize= 1.000000
+dualbound = 3376243.238033, lowerbound=1267535.238033, norm of subgrad 1126.396572 dualbound = 3376243.238033, lowerbound=1267535.238033, norm of subgrad 36.850285 stepsize= 1.000000
+dualbound = 3376328.937824, lowerbound=1261616.937824, norm of subgrad 1123.785984 dualbound = 3376328.937824, lowerbound=1261616.937824, norm of subgrad 36.928306 stepsize= 1.000000
+dualbound = 3376382.678457, lowerbound=1265648.678457, norm of subgrad 1125.587259 dualbound = 3376382.678457, lowerbound=1265648.678457, norm of subgrad 36.766026 stepsize= 1.000000
+dualbound = 3376476.882970, lowerbound=1265319.882970, norm of subgrad 1125.415871 dualbound = 3376476.882970, lowerbound=1265319.882970, norm of subgrad 36.540450 stepsize= 1.000000
+dualbound = 3376575.446649, lowerbound=1265092.446649, norm of subgrad 1125.301491 dualbound = 3376575.446649, lowerbound=1265092.446649, norm of subgrad 36.187894 stepsize= 1.000000
+dualbound = 3376688.207904, lowerbound=1264299.207904, norm of subgrad 1124.948536 dualbound = 3376688.207904, lowerbound=1264299.207904, norm of subgrad 36.369785 stepsize= 1.000000
+dualbound = 3376767.801738, lowerbound=1257289.801738, norm of subgrad 1121.831004 dualbound = 3376767.801738, lowerbound=1257289.801738, norm of subgrad 35.980465 stepsize= 1.000000
+dualbound = 3376840.529648, lowerbound=1266985.529648, norm of subgrad 1126.168517 dualbound = 3376840.529648, lowerbound=1266985.529648, norm of subgrad 36.643252 stepsize= 1.000000
+dualbound = 3376928.092809, lowerbound=1263204.092809, norm of subgrad 1124.499930 dualbound = 3376928.092809, lowerbound=1263204.092809, norm of subgrad 37.196279 stepsize= 1.000000
+dualbound = 3376996.461607, lowerbound=1262406.461607, norm of subgrad 1124.167453 dualbound = 3376996.461607, lowerbound=1262406.461607, norm of subgrad 37.608095 stepsize= 1.000000
+dualbound = 3377077.167835, lowerbound=1262906.167835, norm of subgrad 1124.353222 dualbound = 3377077.167835, lowerbound=1262906.167835, norm of subgrad 36.670236 stepsize= 1.000000
+dualbound = 3377173.948240, lowerbound=1261914.948240, norm of subgrad 1123.894990 dualbound = 3377173.948240, lowerbound=1261914.948240, norm of subgrad 36.356298 stepsize= 1.000000
+dualbound = 3377275.118893, lowerbound=1266813.118893, norm of subgrad 1126.081311 dualbound = 3377275.118893, lowerbound=1266813.118893, norm of subgrad 36.703823 stepsize= 1.000000
+dualbound = 3377339.346337, lowerbound=1264337.346337, norm of subgrad 1125.001932 dualbound = 3377339.346337, lowerbound=1264337.346337, norm of subgrad 36.826993 stepsize= 1.000000
+dualbound = 3377438.631855, lowerbound=1263228.631855, norm of subgrad 1124.509952 dualbound = 3377438.631855, lowerbound=1263228.631855, norm of subgrad 37.326740 stepsize= 1.000000
+dualbound = 3377517.723012, lowerbound=1261463.723012, norm of subgrad 1123.711584 dualbound = 3377517.723012, lowerbound=1261463.723012, norm of subgrad 36.648208 stepsize= 1.000000
+dualbound = 3377606.409477, lowerbound=1264102.409477, norm of subgrad 1124.910845 dualbound = 3377606.409477, lowerbound=1264102.409477, norm of subgrad 37.559106 stepsize= 1.000000
+dualbound = 3377661.718278, lowerbound=1261431.718278, norm of subgrad 1123.744508 dualbound = 3377661.718278, lowerbound=1261431.718278, norm of subgrad 37.753262 stepsize= 1.000000
+dualbound = 3377752.139064, lowerbound=1266190.139064, norm of subgrad 1125.814878 dualbound = 3377752.139064, lowerbound=1266190.139064, norm of subgrad 36.870324 stepsize= 1.000000
+dualbound = 3377878.670261, lowerbound=1262581.670261, norm of subgrad 1124.222251 dualbound = 3377878.670261, lowerbound=1262581.670261, norm of subgrad 37.689935 stepsize= 1.000000
+dualbound = 3377942.212650, lowerbound=1263927.212650, norm of subgrad 1124.804966 dualbound = 3377942.212650, lowerbound=1263927.212650, norm of subgrad 36.366776 stepsize= 1.000000
+dualbound = 3378053.059990, lowerbound=1266987.059990, norm of subgrad 1126.182516 dualbound = 3378053.059990, lowerbound=1266987.059990, norm of subgrad 37.561248 stepsize= 1.000000
+dualbound = 3378112.310912, lowerbound=1261177.310912, norm of subgrad 1123.607276 dualbound = 3378112.310912, lowerbound=1261177.310912, norm of subgrad 37.084376 stepsize= 1.000000
+dualbound = 3378218.061640, lowerbound=1260521.061640, norm of subgrad 1123.295625 dualbound = 3378218.061640, lowerbound=1260521.061640, norm of subgrad 37.118065 stepsize= 1.000000
+dualbound = 3378307.315729, lowerbound=1264889.315729, norm of subgrad 1125.235671 dualbound = 3378307.315729, lowerbound=1264889.315729, norm of subgrad 36.813776 stepsize= 1.000000
+dualbound = 3378395.555294, lowerbound=1266018.555294, norm of subgrad 1125.739115 dualbound = 3378395.555294, lowerbound=1266018.555294, norm of subgrad 36.854302 stepsize= 1.000000
+dualbound = 3378455.369458, lowerbound=1257088.369458, norm of subgrad 1121.808080 dualbound = 3378455.369458, lowerbound=1257088.369458, norm of subgrad 37.746711 stepsize= 1.000000
+dualbound = 3378512.946345, lowerbound=1265053.946345, norm of subgrad 1125.347922 dualbound = 3378512.946345, lowerbound=1265053.946345, norm of subgrad 37.570958 stepsize= 1.000000
+dualbound = 3378614.975365, lowerbound=1261766.975365, norm of subgrad 1123.871423 dualbound = 3378614.975365, lowerbound=1261766.975365, norm of subgrad 37.709800 stepsize= 1.000000
+dualbound = 3378707.231589, lowerbound=1268007.231589, norm of subgrad 1126.633584 dualbound = 3378707.231589, lowerbound=1268007.231589, norm of subgrad 37.259311 stepsize= 1.000000
+dualbound = 3378788.615089, lowerbound=1263007.615089, norm of subgrad 1124.416122 dualbound = 3378788.615089, lowerbound=1263007.615089, norm of subgrad 37.220740 stepsize= 1.000000
+dualbound = 3378873.757982, lowerbound=1267243.757982, norm of subgrad 1126.312904 dualbound = 3378873.757982, lowerbound=1267243.757982, norm of subgrad 37.711310 stepsize= 1.000000
+dualbound = 3378969.175621, lowerbound=1260584.175621, norm of subgrad 1123.331285 dualbound = 3378969.175621, lowerbound=1260584.175621, norm of subgrad 37.207763 stepsize= 1.000000
+dualbound = 3379060.317061, lowerbound=1266723.317061, norm of subgrad 1126.054314 dualbound = 3379060.317061, lowerbound=1266723.317061, norm of subgrad 36.961351 stepsize= 1.000000
+dualbound = 3379151.817815, lowerbound=1261054.817815, norm of subgrad 1123.538525 dualbound = 3379151.817815, lowerbound=1261054.817815, norm of subgrad 37.087744 stepsize= 1.000000
+dualbound = 3379247.405975, lowerbound=1266941.405975, norm of subgrad 1126.142267 dualbound = 3379247.405975, lowerbound=1266941.405975, norm of subgrad 36.750349 stepsize= 1.000000
+dualbound = 3379344.388064, lowerbound=1265169.388064, norm of subgrad 1125.357005 dualbound = 3379344.388064, lowerbound=1265169.388064, norm of subgrad 36.823662 stepsize= 1.000000
+dualbound = 3379393.540201, lowerbound=1263745.540201, norm of subgrad 1124.745989 dualbound = 3379393.540201, lowerbound=1263745.540201, norm of subgrad 36.839546 stepsize= 1.000000
+dualbound = 3379489.019765, lowerbound=1264855.019765, norm of subgrad 1125.211989 dualbound = 3379489.019765, lowerbound=1264855.019765, norm of subgrad 36.639863 stepsize= 1.000000
+dualbound = 3379580.954953, lowerbound=1262827.954953, norm of subgrad 1124.319330 dualbound = 3379580.954953, lowerbound=1262827.954953, norm of subgrad 36.850172 stepsize= 1.000000
+dualbound = 3379671.555252, lowerbound=1267649.555252, norm of subgrad 1126.450423 dualbound = 3379671.555252, lowerbound=1267649.555252, norm of subgrad 36.491099 stepsize= 1.000000
+dualbound = 3379753.344228, lowerbound=1265421.344228, norm of subgrad 1125.459170 dualbound = 3379753.344228, lowerbound=1265421.344228, norm of subgrad 36.315134 stepsize= 1.000000
+dualbound = 3379843.282190, lowerbound=1264373.282190, norm of subgrad 1124.996125 dualbound = 3379843.282190, lowerbound=1264373.282190, norm of subgrad 36.509423 stepsize= 1.000000
+dualbound = 3379924.749449, lowerbound=1259266.749449, norm of subgrad 1122.759881 dualbound = 3379924.749449, lowerbound=1259266.749449, norm of subgrad 37.476223 stepsize= 1.000000
+dualbound = 3379988.031929, lowerbound=1264367.031929, norm of subgrad 1124.996459 dualbound = 3379988.031929, lowerbound=1264367.031929, norm of subgrad 36.239240 stepsize= 1.000000
+dualbound = 3380080.399035, lowerbound=1263813.399035, norm of subgrad 1124.767264 dualbound = 3380080.399035, lowerbound=1263813.399035, norm of subgrad 37.153292 stepsize= 1.000000
+dualbound = 3380154.940420, lowerbound=1261390.940420, norm of subgrad 1123.702781 dualbound = 3380154.940420, lowerbound=1261390.940420, norm of subgrad 37.303370 stepsize= 1.000000
+dualbound = 3380221.062413, lowerbound=1267341.062413, norm of subgrad 1126.345889 dualbound = 3380221.062413, lowerbound=1267341.062413, norm of subgrad 37.149993 stepsize= 1.000000
+dualbound = 3380325.619330, lowerbound=1266834.619330, norm of subgrad 1126.109062 dualbound = 3380325.619330, lowerbound=1266834.619330, norm of subgrad 37.303578 stepsize= 1.000000
+dualbound = 3380407.347063, lowerbound=1266499.347063, norm of subgrad 1125.948643 dualbound = 3380407.347063, lowerbound=1266499.347063, norm of subgrad 36.643249 stepsize= 1.000000
+dualbound = 3380515.425876, lowerbound=1257791.425876, norm of subgrad 1122.070152 dualbound = 3380515.425876, lowerbound=1257791.425876, norm of subgrad 36.852121 stepsize= 1.000000
+dualbound = 3380592.877896, lowerbound=1267294.877896, norm of subgrad 1126.308074 dualbound = 3380592.877896, lowerbound=1267294.877896, norm of subgrad 36.775699 stepsize= 1.000000
+dualbound = 3380671.473352, lowerbound=1264459.473352, norm of subgrad 1125.018432 dualbound = 3380671.473352, lowerbound=1264459.473352, norm of subgrad 35.855201 stepsize= 1.000000
+dualbound = 3380794.288022, lowerbound=1263712.288022, norm of subgrad 1124.677860 dualbound = 3380794.288022, lowerbound=1263712.288022, norm of subgrad 36.205175 stepsize= 1.000000
+dualbound = 3380848.985427, lowerbound=1261907.985427, norm of subgrad 1123.909687 dualbound = 3380848.985427, lowerbound=1261907.985427, norm of subgrad 36.327640 stepsize= 1.000000
+dualbound = 3380923.077164, lowerbound=1270177.077164, norm of subgrad 1127.588612 dualbound = 3380923.077164, lowerbound=1270177.077164, norm of subgrad 36.784395 stepsize= 1.000000
+dualbound = 3381025.503662, lowerbound=1262555.503662, norm of subgrad 1124.191934 dualbound = 3381025.503662, lowerbound=1262555.503662, norm of subgrad 36.802534 stepsize= 1.000000
+dualbound = 3381113.700897, lowerbound=1265344.700897, norm of subgrad 1125.419789 dualbound = 3381113.700897, lowerbound=1265344.700897, norm of subgrad 36.238063 stepsize= 1.000000
+dualbound = 3381202.981777, lowerbound=1263106.981777, norm of subgrad 1124.442076 dualbound = 3381202.981777, lowerbound=1263106.981777, norm of subgrad 36.773372 stepsize= 1.000000
+dualbound = 3381262.310101, lowerbound=1264667.310101, norm of subgrad 1125.138796 dualbound = 3381262.310101, lowerbound=1264667.310101, norm of subgrad 36.459955 stepsize= 1.000000
+dualbound = 3381378.532212, lowerbound=1264667.532212, norm of subgrad 1125.129562 dualbound = 3381378.532212, lowerbound=1264667.532212, norm of subgrad 36.948912 stepsize= 1.000000
+dualbound = 3381453.643369, lowerbound=1269907.643369, norm of subgrad 1127.459819 dualbound = 3381453.643369, lowerbound=1269907.643369, norm of subgrad 36.511795 stepsize= 1.000000
+dualbound = 3381552.987194, lowerbound=1260069.987194, norm of subgrad 1123.074791 dualbound = 3381552.987194, lowerbound=1260069.987194, norm of subgrad 36.419004 stepsize= 1.000000
+dualbound = 3381629.280298, lowerbound=1265016.280298, norm of subgrad 1125.308082 dualbound = 3381629.280298, lowerbound=1265016.280298, norm of subgrad 37.125370 stepsize= 1.000000
+dualbound = 3381687.669461, lowerbound=1259339.669461, norm of subgrad 1122.804377 dualbound = 3381687.669461, lowerbound=1259339.669461, norm of subgrad 37.528511 stepsize= 1.000000
+dualbound = 3381789.157985, lowerbound=1264827.157985, norm of subgrad 1125.228936 dualbound = 3381789.157985, lowerbound=1264827.157985, norm of subgrad 37.609687 stepsize= 1.000000
+dualbound = 3381860.015725, lowerbound=1263791.015725, norm of subgrad 1124.766205 dualbound = 3381860.015725, lowerbound=1263791.015725, norm of subgrad 37.132974 stepsize= 1.000000
+dualbound = 3381966.599579, lowerbound=1263810.599579, norm of subgrad 1124.775355 dualbound = 3381966.599579, lowerbound=1263810.599579, norm of subgrad 37.624246 stepsize= 1.000000
+dualbound = 3382055.947863, lowerbound=1267735.947863, norm of subgrad 1126.487882 dualbound = 3382055.947863, lowerbound=1267735.947863, norm of subgrad 36.446513 stepsize= 1.000000
+dualbound = 3382158.974054, lowerbound=1263392.974054, norm of subgrad 1124.579021 dualbound = 3382158.974054, lowerbound=1263392.974054, norm of subgrad 37.256224 stepsize= 1.000000
+dualbound = 3382221.609438, lowerbound=1266194.609438, norm of subgrad 1125.833296 dualbound = 3382221.609438, lowerbound=1266194.609438, norm of subgrad 36.995072 stepsize= 1.000000
+dualbound = 3382314.604924, lowerbound=1260561.604924, norm of subgrad 1123.320793 dualbound = 3382314.604924, lowerbound=1260561.604924, norm of subgrad 37.161748 stepsize= 1.000000
+dualbound = 3382390.483257, lowerbound=1267032.483257, norm of subgrad 1126.197355 dualbound = 3382390.483257, lowerbound=1267032.483257, norm of subgrad 36.930723 stepsize= 1.000000
+dualbound = 3382479.208076, lowerbound=1261431.208076, norm of subgrad 1123.725593 dualbound = 3382479.208076, lowerbound=1261431.208076, norm of subgrad 37.639405 stepsize= 1.000000
+dualbound = 3382537.242416, lowerbound=1264816.242416, norm of subgrad 1125.202756 dualbound = 3382537.242416, lowerbound=1264816.242416, norm of subgrad 36.373539 stepsize= 1.000000
+dualbound = 3382672.188288, lowerbound=1262422.188288, norm of subgrad 1124.141534 dualbound = 3382672.188288, lowerbound=1262422.188288, norm of subgrad 37.509277 stepsize= 1.000000
+dualbound = 3382719.615447, lowerbound=1267488.615447, norm of subgrad 1126.416715 dualbound = 3382719.615447, lowerbound=1267488.615447, norm of subgrad 37.059778 stepsize= 1.000000
+dualbound = 3382813.872851, lowerbound=1260401.872851, norm of subgrad 1123.256370 dualbound = 3382813.872851, lowerbound=1260401.872851, norm of subgrad 37.379906 stepsize= 1.000000
+dualbound = 3382903.504655, lowerbound=1265199.504655, norm of subgrad 1125.378383 dualbound = 3382903.504655, lowerbound=1265199.504655, norm of subgrad 36.967984 stepsize= 1.000000
+dualbound = 3382980.969575, lowerbound=1266426.969575, norm of subgrad 1125.935597 dualbound = 3382980.969575, lowerbound=1266426.969575, norm of subgrad 37.168063 stepsize= 1.000000
+dualbound = 3383060.705345, lowerbound=1261132.705345, norm of subgrad 1123.578972 dualbound = 3383060.705345, lowerbound=1261132.705345, norm of subgrad 37.104390 stepsize= 1.000000
+dualbound = 3383160.581156, lowerbound=1264178.581156, norm of subgrad 1124.927812 dualbound = 3383160.581156, lowerbound=1264178.581156, norm of subgrad 37.200481 stepsize= 1.000000
+dualbound = 3383254.630942, lowerbound=1261590.630942, norm of subgrad 1123.793411 dualbound = 3383254.630942, lowerbound=1261590.630942, norm of subgrad 37.617147 stepsize= 1.000000
+dualbound = 3383318.209803, lowerbound=1259252.209803, norm of subgrad 1122.727576 dualbound = 3383318.209803, lowerbound=1259252.209803, norm of subgrad 36.449676 stepsize= 1.000000
+dualbound = 3383431.177866, lowerbound=1268518.177866, norm of subgrad 1126.847451 dualbound = 3383431.177866, lowerbound=1268518.177866, norm of subgrad 37.147921 stepsize= 1.000000
+dualbound = 3383492.476736, lowerbound=1257495.476736, norm of subgrad 1121.965898 dualbound = 3383492.476736, lowerbound=1257495.476736, norm of subgrad 37.058047 stepsize= 1.000000
+dualbound = 3383599.091965, lowerbound=1268294.091965, norm of subgrad 1126.732041 dualbound = 3383599.091965, lowerbound=1268294.091965, norm of subgrad 36.573422 stepsize= 1.000000
+dualbound = 3383681.206317, lowerbound=1263060.206317, norm of subgrad 1124.428391 dualbound = 3383681.206317, lowerbound=1263060.206317, norm of subgrad 36.893283 stepsize= 1.000000
+dualbound = 3383750.664669, lowerbound=1264811.664669, norm of subgrad 1125.214942 dualbound = 3383750.664669, lowerbound=1264811.664669, norm of subgrad 36.965637 stepsize= 1.000000
+dualbound = 3383812.265236, lowerbound=1265071.265236, norm of subgrad 1125.343621 dualbound = 3383812.265236, lowerbound=1265071.265236, norm of subgrad 37.263931 stepsize= 1.000000
+dualbound = 3383923.841859, lowerbound=1262507.841859, norm of subgrad 1124.163619 dualbound = 3383923.841859, lowerbound=1262507.841859, norm of subgrad 36.709353 stepsize= 1.000000
+dualbound = 3384034.197420, lowerbound=1264234.197420, norm of subgrad 1124.924974 dualbound = 3384034.197420, lowerbound=1264234.197420, norm of subgrad 36.501446 stepsize= 1.000000
+dualbound = 3384102.415190, lowerbound=1265336.415190, norm of subgrad 1125.448984 dualbound = 3384102.415190, lowerbound=1265336.415190, norm of subgrad 36.975908 stepsize= 1.000000
+dualbound = 3384183.001584, lowerbound=1262487.001584, norm of subgrad 1124.202829 dualbound = 3384183.001584, lowerbound=1262487.001584, norm of subgrad 37.756938 stepsize= 1.000000
+dualbound = 3384245.313425, lowerbound=1268821.313425, norm of subgrad 1127.016998 dualbound = 3384245.313425, lowerbound=1268821.313425, norm of subgrad 37.527481 stepsize= 1.000000
+dualbound = 3384342.881856, lowerbound=1263026.881856, norm of subgrad 1124.407347 dualbound = 3384342.881856, lowerbound=1263026.881856, norm of subgrad 36.912985 stepsize= 1.000000
+dualbound = 3384435.565064, lowerbound=1263891.565064, norm of subgrad 1124.771784 dualbound = 3384435.565064, lowerbound=1263891.565064, norm of subgrad 36.230970 stepsize= 1.000000
+dualbound = 3384525.478582, lowerbound=1264540.478582, norm of subgrad 1125.060656 dualbound = 3384525.478582, lowerbound=1264540.478582, norm of subgrad 36.206540 stepsize= 1.000000
+dualbound = 3384635.101084, lowerbound=1266100.101084, norm of subgrad 1125.729142 dualbound = 3384635.101084, lowerbound=1266100.101084, norm of subgrad 35.715858 stepsize= 1.000000
+dualbound = 3384714.028722, lowerbound=1268748.028722, norm of subgrad 1126.950322 dualbound = 3384714.028722, lowerbound=1268748.028722, norm of subgrad 36.714134 stepsize= 1.000000
+dualbound = 3384784.016172, lowerbound=1269445.016172, norm of subgrad 1127.255524 dualbound = 3384784.016172, lowerbound=1269445.016172, norm of subgrad 36.468993 stepsize= 1.000000
+dualbound = 3384879.432761, lowerbound=1262347.432761, norm of subgrad 1124.092715 dualbound = 3384879.432761, lowerbound=1262347.432761, norm of subgrad 36.502282 stepsize= 1.000000
+dualbound = 3384963.071895, lowerbound=1267662.071895, norm of subgrad 1126.449321 dualbound = 3384963.071895, lowerbound=1267662.071895, norm of subgrad 36.188937 stepsize= 1.000000
+dualbound = 3385018.079169, lowerbound=1257634.079169, norm of subgrad 1121.994688 dualbound = 3385018.079169, lowerbound=1257634.079169, norm of subgrad 35.958410 stepsize= 1.000000
+dualbound = 3385125.061876, lowerbound=1263324.061876, norm of subgrad 1124.542157 dualbound = 3385125.061876, lowerbound=1263324.061876, norm of subgrad 37.121189 stepsize= 1.000000
+dualbound = 3385192.476416, lowerbound=1262025.476416, norm of subgrad 1123.984642 dualbound = 3385192.476416, lowerbound=1262025.476416, norm of subgrad 37.194281 stepsize= 1.000000
+dualbound = 3385274.281918, lowerbound=1264278.281918, norm of subgrad 1124.992125 dualbound = 3385274.281918, lowerbound=1264278.281918, norm of subgrad 37.560691 stepsize= 1.000000
+dualbound = 3385354.397509, lowerbound=1263056.397509, norm of subgrad 1124.444929 dualbound = 3385354.397509, lowerbound=1263056.397509, norm of subgrad 37.418118 stepsize= 1.000000
+dualbound = 3385462.550036, lowerbound=1264980.550036, norm of subgrad 1125.269990 dualbound = 3385462.550036, lowerbound=1264980.550036, norm of subgrad 36.880246 stepsize= 1.000000
+dualbound = 3385527.591887, lowerbound=1257938.591887, norm of subgrad 1122.149541 dualbound = 3385527.591887, lowerbound=1257938.591887, norm of subgrad 36.688443 stepsize= 1.000000
+dualbound = 3385633.614976, lowerbound=1271887.614976, norm of subgrad 1128.325580 dualbound = 3385633.614976, lowerbound=1271887.614976, norm of subgrad 36.565326 stepsize= 1.000000
+dualbound = 3385730.582629, lowerbound=1263737.582629, norm of subgrad 1124.711333 dualbound = 3385730.582629, lowerbound=1263737.582629, norm of subgrad 36.537209 stepsize= 1.000000
+dualbound = 3385817.366368, lowerbound=1264595.366368, norm of subgrad 1125.089493 dualbound = 3385817.366368, lowerbound=1264595.366368, norm of subgrad 36.301291 stepsize= 1.000000
+dualbound = 3385908.004623, lowerbound=1269117.004623, norm of subgrad 1127.122001 dualbound = 3385908.004623, lowerbound=1269117.004623, norm of subgrad 37.116550 stepsize= 1.000000
+dualbound = 3385961.933464, lowerbound=1267801.933464, norm of subgrad 1126.547351 dualbound = 3385961.933464, lowerbound=1267801.933464, norm of subgrad 36.890769 stepsize= 1.000000
+dualbound = 3386076.051965, lowerbound=1266364.051965, norm of subgrad 1125.910766 dualbound = 3386076.051965, lowerbound=1266364.051965, norm of subgrad 37.750742 stepsize= 1.000000
+dualbound = 3386138.274197, lowerbound=1265952.274197, norm of subgrad 1125.745208 dualbound = 3386138.274197, lowerbound=1265952.274197, norm of subgrad 37.579545 stepsize= 1.000000
+dualbound = 3386237.521949, lowerbound=1262127.521949, norm of subgrad 1124.000677 dualbound = 3386237.521949, lowerbound=1262127.521949, norm of subgrad 36.732108 stepsize= 1.000000
+dualbound = 3386319.753468, lowerbound=1267406.753468, norm of subgrad 1126.382596 dualbound = 3386319.753468, lowerbound=1267406.753468, norm of subgrad 37.592972 stepsize= 1.000000
+dualbound = 3386407.752053, lowerbound=1261936.752053, norm of subgrad 1123.930048 dualbound = 3386407.752053, lowerbound=1261936.752053, norm of subgrad 37.013492 stepsize= 1.000000
+dualbound = 3386478.983015, lowerbound=1268084.983015, norm of subgrad 1126.661876 dualbound = 3386478.983015, lowerbound=1268084.983015, norm of subgrad 36.786288 stepsize= 1.000000
+dualbound = 3386571.695551, lowerbound=1256277.695551, norm of subgrad 1121.397653 dualbound = 3386571.695551, lowerbound=1256277.695551, norm of subgrad 36.711205 stepsize= 1.000000
+dualbound = 3386659.681488, lowerbound=1268484.681488, norm of subgrad 1126.836138 dualbound = 3386659.681488, lowerbound=1268484.681488, norm of subgrad 36.918639 stepsize= 1.000000
+dualbound = 3386737.251268, lowerbound=1261376.251268, norm of subgrad 1123.676667 dualbound = 3386737.251268, lowerbound=1261376.251268, norm of subgrad 36.750099 stepsize= 1.000000
+dualbound = 3386814.804099, lowerbound=1269435.804099, norm of subgrad 1127.249220 dualbound = 3386814.804099, lowerbound=1269435.804099, norm of subgrad 36.504148 stepsize= 1.000000
+dualbound = 3386921.260069, lowerbound=1262376.260069, norm of subgrad 1124.125109 dualbound = 3386921.260069, lowerbound=1262376.260069, norm of subgrad 37.248570 stepsize= 1.000000
+dualbound = 3386999.060966, lowerbound=1268770.060966, norm of subgrad 1126.992485 dualbound = 3386999.060966, lowerbound=1268770.060966, norm of subgrad 37.680245 stepsize= 1.000000
+dualbound = 3387046.397283, lowerbound=1263822.397283, norm of subgrad 1124.782822 dualbound = 3387046.397283, lowerbound=1263822.397283, norm of subgrad 36.896291 stepsize= 1.000000
+dualbound = 3387160.994564, lowerbound=1266524.994564, norm of subgrad 1125.985788 dualbound = 3387160.994564, lowerbound=1266524.994564, norm of subgrad 37.862875 stepsize= 1.000000
+dualbound = 3387215.313217, lowerbound=1270588.313217, norm of subgrad 1127.785136 dualbound = 3387215.313217, lowerbound=1270588.313217, norm of subgrad 36.950219 stepsize= 1.000000
+dualbound = 3387326.903628, lowerbound=1263063.903628, norm of subgrad 1124.426478 dualbound = 3387326.903628, lowerbound=1263063.903628, norm of subgrad 37.183201 stepsize= 1.000000
+dualbound = 3387412.098780, lowerbound=1263300.098780, norm of subgrad 1124.521720 dualbound = 3387412.098780, lowerbound=1263300.098780, norm of subgrad 36.526636 stepsize= 1.000000
+dualbound = 3387484.896443, lowerbound=1266832.896443, norm of subgrad 1126.118953 dualbound = 3387484.896443, lowerbound=1266832.896443, norm of subgrad 37.199431 stepsize= 1.000000
+dualbound = 3387564.729230, lowerbound=1261713.729230, norm of subgrad 1123.842840 dualbound = 3387564.729230, lowerbound=1261713.729230, norm of subgrad 37.267047 stepsize= 1.000000
+dualbound = 3387650.462518, lowerbound=1262180.462518, norm of subgrad 1124.059813 dualbound = 3387650.462518, lowerbound=1262180.462518, norm of subgrad 37.626231 stepsize= 1.000000
+dualbound = 3387746.295760, lowerbound=1267572.295760, norm of subgrad 1126.426338 dualbound = 3387746.295760, lowerbound=1267572.295760, norm of subgrad 36.875917 stepsize= 1.000000
+dualbound = 3387828.680304, lowerbound=1265962.680304, norm of subgrad 1125.708968 dualbound = 3387828.680304, lowerbound=1265962.680304, norm of subgrad 36.611263 stepsize= 1.000000
+dualbound = 3387920.292230, lowerbound=1263341.292230, norm of subgrad 1124.548928 dualbound = 3387920.292230, lowerbound=1263341.292230, norm of subgrad 36.886473 stepsize= 1.000000
+dualbound = 3387997.050385, lowerbound=1262739.050385, norm of subgrad 1124.281571 dualbound = 3387997.050385, lowerbound=1262739.050385, norm of subgrad 36.698204 stepsize= 1.000000
+dualbound = 3388073.882447, lowerbound=1268138.882447, norm of subgrad 1126.686683 dualbound = 3388073.882447, lowerbound=1268138.882447, norm of subgrad 36.889457 stepsize= 1.000000
+dualbound = 3388159.616372, lowerbound=1264589.616372, norm of subgrad 1125.096714 dualbound = 3388159.616372, lowerbound=1264589.616372, norm of subgrad 36.588713 stepsize= 1.000000
+dualbound = 3388263.711641, lowerbound=1259293.711641, norm of subgrad 1122.724682 dualbound = 3388263.711641, lowerbound=1259293.711641, norm of subgrad 36.346874 stepsize= 1.000000
+dualbound = 3388336.295808, lowerbound=1264566.295808, norm of subgrad 1125.108571 dualbound = 3388336.295808, lowerbound=1264566.295808, norm of subgrad 37.088869 stepsize= 1.000000
+dualbound = 3388403.739420, lowerbound=1263030.739420, norm of subgrad 1124.442413 dualbound = 3388403.739420, lowerbound=1263030.739420, norm of subgrad 37.515911 stepsize= 1.000000
+dualbound = 3388478.628806, lowerbound=1265730.628806, norm of subgrad 1125.665416 dualbound = 3388478.628806, lowerbound=1265730.628806, norm of subgrad 38.299992 stepsize= 1.000000
+dualbound = 3388566.721174, lowerbound=1266810.721174, norm of subgrad 1126.133083 dualbound = 3388566.721174, lowerbound=1266810.721174, norm of subgrad 38.119449 stepsize= 1.000000
+dualbound = 3388643.330487, lowerbound=1263125.330487, norm of subgrad 1124.492032 dualbound = 3388643.330487, lowerbound=1263125.330487, norm of subgrad 37.863034 stepsize= 1.000000
+dualbound = 3388737.503036, lowerbound=1261965.503036, norm of subgrad 1123.962857 dualbound = 3388737.503036, lowerbound=1261965.503036, norm of subgrad 37.698442 stepsize= 1.000000
+dualbound = 3388851.356953, lowerbound=1268521.356953, norm of subgrad 1126.852855 dualbound = 3388851.356953, lowerbound=1268521.356953, norm of subgrad 37.280745 stepsize= 1.000000
+dualbound = 3388938.451058, lowerbound=1261892.451058, norm of subgrad 1123.911229 dualbound = 3388938.451058, lowerbound=1261892.451058, norm of subgrad 37.028288 stepsize= 1.000000
+dualbound = 3389014.523975, lowerbound=1271210.523975, norm of subgrad 1128.052979 dualbound = 3389014.523975, lowerbound=1271210.523975, norm of subgrad 37.000985 stepsize= 1.000000
+dualbound = 3389102.962200, lowerbound=1258333.962200, norm of subgrad 1122.315892 dualbound = 3389102.962200, lowerbound=1258333.962200, norm of subgrad 36.707468 stepsize= 1.000000
+dualbound = 3389213.229335, lowerbound=1270157.229335, norm of subgrad 1127.567838 dualbound = 3389213.229335, lowerbound=1270157.229335, norm of subgrad 36.908903 stepsize= 1.000000
+dualbound = 3389264.798169, lowerbound=1262089.798169, norm of subgrad 1124.013700 dualbound = 3389264.798169, lowerbound=1262089.798169, norm of subgrad 36.994173 stepsize= 1.000000
+dualbound = 3389358.613424, lowerbound=1268364.613424, norm of subgrad 1126.775316 dualbound = 3389358.613424, lowerbound=1268364.613424, norm of subgrad 36.767040 stepsize= 1.000000
+dualbound = 3389442.823100, lowerbound=1264071.823100, norm of subgrad 1124.879915 dualbound = 3389442.823100, lowerbound=1264071.823100, norm of subgrad 36.975799 stepsize= 1.000000
+dualbound = 3389532.288626, lowerbound=1267301.288626, norm of subgrad 1126.306481 dualbound = 3389532.288626, lowerbound=1267301.288626, norm of subgrad 36.803064 stepsize= 1.000000
+dualbound = 3389618.977359, lowerbound=1264625.977359, norm of subgrad 1125.133760 dualbound = 3389618.977359, lowerbound=1264625.977359, norm of subgrad 37.238270 stepsize= 1.000000
+dualbound = 3389710.369343, lowerbound=1267418.369343, norm of subgrad 1126.370884 dualbound = 3389710.369343, lowerbound=1267418.369343, norm of subgrad 37.207418 stepsize= 1.000000
+dualbound = 3389793.724153, lowerbound=1262819.724153, norm of subgrad 1124.299215 dualbound = 3389793.724153, lowerbound=1262819.724153, norm of subgrad 36.226438 stepsize= 1.000000
+dualbound = 3389899.401954, lowerbound=1265746.401954, norm of subgrad 1125.574699 dualbound = 3389899.401954, lowerbound=1265746.401954, norm of subgrad 35.744619 stepsize= 1.000000
+dualbound = 3389989.653427, lowerbound=1264571.653427, norm of subgrad 1125.070510 dualbound = 3389989.653427, lowerbound=1264571.653427, norm of subgrad 36.086722 stepsize= 1.000000
+dualbound = 3390045.888244, lowerbound=1262416.888244, norm of subgrad 1124.147183 dualbound = 3390045.888244, lowerbound=1262416.888244, norm of subgrad 36.691073 stepsize= 1.000000
+dualbound = 3390139.048328, lowerbound=1266258.048328, norm of subgrad 1125.821499 dualbound = 3390139.048328, lowerbound=1266258.048328, norm of subgrad 36.182317 stepsize= 1.000000
+dualbound = 3390222.269002, lowerbound=1265173.269002, norm of subgrad 1125.350732 dualbound = 3390222.269002, lowerbound=1265173.269002, norm of subgrad 36.389843 stepsize= 1.000000
+dualbound = 3390306.467843, lowerbound=1264354.467843, norm of subgrad 1125.010430 dualbound = 3390306.467843, lowerbound=1264354.467843, norm of subgrad 37.124101 stepsize= 1.000000
+dualbound = 3390355.129369, lowerbound=1266825.129369, norm of subgrad 1126.097300 dualbound = 3390355.129369, lowerbound=1266825.129369, norm of subgrad 36.313379 stepsize= 1.000000
+dualbound = 3390458.255142, lowerbound=1266524.255142, norm of subgrad 1125.949935 dualbound = 3390458.255142, lowerbound=1266524.255142, norm of subgrad 36.635035 stepsize= 1.000000
+dualbound = 3390559.878718, lowerbound=1263766.878718, norm of subgrad 1124.713243 dualbound = 3390559.878718, lowerbound=1263766.878718, norm of subgrad 36.257738 stepsize= 1.000000
+dualbound = 3390634.016793, lowerbound=1268936.016793, norm of subgrad 1127.043041 dualbound = 3390634.016793, lowerbound=1268936.016793, norm of subgrad 36.934240 stepsize= 1.000000
+dualbound = 3390711.793247, lowerbound=1264166.793247, norm of subgrad 1124.915460 dualbound = 3390711.793247, lowerbound=1264166.793247, norm of subgrad 36.684826 stepsize= 1.000000
+dualbound = 3390794.276844, lowerbound=1272289.276844, norm of subgrad 1128.510202 dualbound = 3390794.276844, lowerbound=1272289.276844, norm of subgrad 36.448369 stepsize= 1.000000
+dualbound = 3390904.873628, lowerbound=1264523.873628, norm of subgrad 1125.061720 dualbound = 3390904.873628, lowerbound=1264523.873628, norm of subgrad 36.750466 stepsize= 1.000000
+dualbound = 3390960.273738, lowerbound=1265181.273738, norm of subgrad 1125.382723 dualbound = 3390960.273738, lowerbound=1265181.273738, norm of subgrad 36.883602 stepsize= 1.000000
+dualbound = 3391056.398459, lowerbound=1266075.398459, norm of subgrad 1125.767471 dualbound = 3391056.398459, lowerbound=1266075.398459, norm of subgrad 37.055698 stepsize= 1.000000
+dualbound = 3391140.602780, lowerbound=1264713.602780, norm of subgrad 1125.142037 dualbound = 3391140.602780, lowerbound=1264713.602780, norm of subgrad 36.265746 stepsize= 1.000000
+dualbound = 3391248.107766, lowerbound=1263305.107766, norm of subgrad 1124.531951 dualbound = 3391248.107766, lowerbound=1263305.107766, norm of subgrad 37.074317 stepsize= 1.000000
+dualbound = 3391310.105995, lowerbound=1261814.105995, norm of subgrad 1123.883493 dualbound = 3391310.105995, lowerbound=1261814.105995, norm of subgrad 36.905260 stepsize= 1.000000
+dualbound = 3391407.457832, lowerbound=1268211.457832, norm of subgrad 1126.708240 dualbound = 3391407.457832, lowerbound=1268211.457832, norm of subgrad 36.842256 stepsize= 1.000000
+dualbound = 3391509.858436, lowerbound=1261719.858436, norm of subgrad 1123.819762 dualbound = 3391509.858436, lowerbound=1261719.858436, norm of subgrad 36.788593 stepsize= 1.000000
+dualbound = 3391595.426280, lowerbound=1265413.426280, norm of subgrad 1125.504077 dualbound = 3391595.426280, lowerbound=1265413.426280, norm of subgrad 37.836065 stepsize= 1.000000
+dualbound = 3391631.573338, lowerbound=1264463.573338, norm of subgrad 1125.066475 dualbound = 3391631.573338, lowerbound=1264463.573338, norm of subgrad 36.703502 stepsize= 1.000000
+dualbound = 3391734.007682, lowerbound=1266923.007682, norm of subgrad 1126.163402 dualbound = 3391734.007682, lowerbound=1266923.007682, norm of subgrad 37.728429 stepsize= 1.000000
+dualbound = 3391814.718609, lowerbound=1261166.718609, norm of subgrad 1123.619027 dualbound = 3391814.718609, lowerbound=1261166.718609, norm of subgrad 37.864375 stepsize= 1.000000
+dualbound = 3391887.461368, lowerbound=1264923.461368, norm of subgrad 1125.271728 dualbound = 3391887.461368, lowerbound=1264923.461368, norm of subgrad 37.225566 stepsize= 1.000000
+dualbound = 3391992.296062, lowerbound=1263498.296062, norm of subgrad 1124.612509 dualbound = 3391992.296062, lowerbound=1263498.296062, norm of subgrad 36.875937 stepsize= 1.000000
+dualbound = 3392093.229148, lowerbound=1265723.229148, norm of subgrad 1125.614156 dualbound = 3392093.229148, lowerbound=1265723.229148, norm of subgrad 37.214689 stepsize= 1.000000
+dualbound = 3392169.743477, lowerbound=1265917.743477, norm of subgrad 1125.657916 dualbound = 3392169.743477, lowerbound=1265917.743477, norm of subgrad 35.560010 stepsize= 1.000000
+dualbound = 3392275.424278, lowerbound=1264869.424278, norm of subgrad 1125.220611 dualbound = 3392275.424278, lowerbound=1264869.424278, norm of subgrad 36.846720 stepsize= 1.000000
+dualbound = 3392343.202399, lowerbound=1266005.202399, norm of subgrad 1125.729631 dualbound = 3392343.202399, lowerbound=1266005.202399, norm of subgrad 36.466123 stepsize= 1.000000
+dualbound = 3392405.677790, lowerbound=1266362.677790, norm of subgrad 1125.923478 dualbound = 3392405.677790, lowerbound=1266362.677790, norm of subgrad 37.462987 stepsize= 1.000000
+dualbound = 3392473.004195, lowerbound=1263689.004195, norm of subgrad 1124.726191 dualbound = 3392473.004195, lowerbound=1263689.004195, norm of subgrad 37.246831 stepsize= 1.000000
+dualbound = 3392579.769732, lowerbound=1265199.769732, norm of subgrad 1125.384721 dualbound = 3392579.769732, lowerbound=1265199.769732, norm of subgrad 37.386703 stepsize= 1.000000
+dualbound = 3392653.039819, lowerbound=1261917.039819, norm of subgrad 1123.935514 dualbound = 3392653.039819, lowerbound=1261917.039819, norm of subgrad 37.246075 stepsize= 1.000000
+dualbound = 3392724.982189, lowerbound=1267838.982189, norm of subgrad 1126.570451 dualbound = 3392724.982189, lowerbound=1267838.982189, norm of subgrad 37.335538 stepsize= 1.000000
+dualbound = 3392813.907652, lowerbound=1266514.907652, norm of subgrad 1125.975536 dualbound = 3392813.907652, lowerbound=1266514.907652, norm of subgrad 37.348701 stepsize= 1.000000
+dualbound = 3392913.034538, lowerbound=1268525.034538, norm of subgrad 1126.897082 dualbound = 3392913.034538, lowerbound=1268525.034538, norm of subgrad 38.355272 stepsize= 1.000000
+dualbound = 3392990.299603, lowerbound=1267731.299603, norm of subgrad 1126.548401 dualbound = 3392990.299603, lowerbound=1267731.299603, norm of subgrad 38.174141 stepsize= 1.000000
+dualbound = 3393062.292925, lowerbound=1263109.292925, norm of subgrad 1124.508467 dualbound = 3393062.292925, lowerbound=1263109.292925, norm of subgrad 38.496666 stepsize= 1.000000
+dualbound = 3393154.926284, lowerbound=1257687.926284, norm of subgrad 1122.060572 dualbound = 3393154.926284, lowerbound=1257687.926284, norm of subgrad 37.744316 stepsize= 1.000000
+dualbound = 3393245.896555, lowerbound=1266658.896555, norm of subgrad 1126.049687 dualbound = 3393245.896555, lowerbound=1266658.896555, norm of subgrad 37.682493 stepsize= 1.000000
+dualbound = 3393329.792312, lowerbound=1264549.792312, norm of subgrad 1125.123901 dualbound = 3393329.792312, lowerbound=1264549.792312, norm of subgrad 37.919596 stepsize= 1.000000
+dualbound = 3393424.909306, lowerbound=1265916.909306, norm of subgrad 1125.685973 dualbound = 3393424.909306, lowerbound=1265916.909306, norm of subgrad 36.703092 stepsize= 1.000000
+dualbound = 3393536.261828, lowerbound=1263346.261828, norm of subgrad 1124.550249 dualbound = 3393536.261828, lowerbound=1263346.261828, norm of subgrad 37.126170 stepsize= 1.000000
+dualbound = 3393597.456196, lowerbound=1265939.456196, norm of subgrad 1125.691546 dualbound = 3393597.456196, lowerbound=1265939.456196, norm of subgrad 36.099783 stepsize= 1.000000
+dualbound = 3393713.201201, lowerbound=1263247.201201, norm of subgrad 1124.505759 dualbound = 3393713.201201, lowerbound=1263247.201201, norm of subgrad 37.171831 stepsize= 1.000000
+dualbound = 3393768.226519, lowerbound=1270925.226519, norm of subgrad 1127.906125 dualbound = 3393768.226519, lowerbound=1270925.226519, norm of subgrad 36.083588 stepsize= 1.000000
+dualbound = 3393860.930673, lowerbound=1261956.930673, norm of subgrad 1123.935466 dualbound = 3393860.930673, lowerbound=1261956.930673, norm of subgrad 36.968962 stepsize= 1.000000
+dualbound = 3393957.839340, lowerbound=1269655.839340, norm of subgrad 1127.336613 dualbound = 3393957.839340, lowerbound=1269655.839340, norm of subgrad 36.454200 stepsize= 1.000000
+dualbound = 3394025.881613, lowerbound=1263040.881613, norm of subgrad 1124.435361 dualbound = 3394025.881613, lowerbound=1263040.881613, norm of subgrad 37.175829 stepsize= 1.000000
+dualbound = 3394105.431828, lowerbound=1269473.431828, norm of subgrad 1127.268571 dualbound = 3394105.431828, lowerbound=1269473.431828, norm of subgrad 36.613525 stepsize= 1.000000
+dualbound = 3394209.757368, lowerbound=1263275.757368, norm of subgrad 1124.500226 dualbound = 3394209.757368, lowerbound=1263275.757368, norm of subgrad 36.459917 stepsize= 1.000000
+dualbound = 3394291.624236, lowerbound=1268566.624236, norm of subgrad 1126.852974 dualbound = 3394291.624236, lowerbound=1268566.624236, norm of subgrad 36.233505 stepsize= 1.000000
+dualbound = 3394365.212038, lowerbound=1261786.212038, norm of subgrad 1123.854622 dualbound = 3394365.212038, lowerbound=1261786.212038, norm of subgrad 36.559374 stepsize= 1.000000
+dualbound = 3394446.082572, lowerbound=1268934.082572, norm of subgrad 1127.023994 dualbound = 3394446.082572, lowerbound=1268934.082572, norm of subgrad 36.467390 stepsize= 1.000000
+dualbound = 3394550.059939, lowerbound=1269569.059939, norm of subgrad 1127.310099 dualbound = 3394550.059939, lowerbound=1269569.059939, norm of subgrad 36.918523 stepsize= 1.000000
+dualbound = 3394628.969156, lowerbound=1261710.969156, norm of subgrad 1123.812248 dualbound = 3394628.969156, lowerbound=1261710.969156, norm of subgrad 36.358069 stepsize= 1.000000
+dualbound = 3394714.257402, lowerbound=1266112.257402, norm of subgrad 1125.782065 dualbound = 3394714.257402, lowerbound=1266112.257402, norm of subgrad 36.854962 stepsize= 1.000000
+dualbound = 3394796.039212, lowerbound=1266806.039212, norm of subgrad 1126.099480 dualbound = 3394796.039212, lowerbound=1266806.039212, norm of subgrad 37.091533 stepsize= 1.000000
+dualbound = 3394883.288252, lowerbound=1265832.288252, norm of subgrad 1125.635060 dualbound = 3394883.288252, lowerbound=1265832.288252, norm of subgrad 36.183547 stepsize= 1.000000
+dualbound = 3394976.112720, lowerbound=1266883.112720, norm of subgrad 1126.115497 dualbound = 3394976.112720, lowerbound=1266883.112720, norm of subgrad 36.685480 stepsize= 1.000000
+dualbound = 3395036.017553, lowerbound=1261989.017553, norm of subgrad 1123.972427 dualbound = 3395036.017553, lowerbound=1261989.017553, norm of subgrad 37.214310 stepsize= 1.000000
+dualbound = 3395117.436386, lowerbound=1268520.436386, norm of subgrad 1126.838248 dualbound = 3395117.436386, lowerbound=1268520.436386, norm of subgrad 36.406302 stepsize= 1.000000
+dualbound = 3395230.041718, lowerbound=1264794.041718, norm of subgrad 1125.212443 dualbound = 3395230.041718, lowerbound=1264794.041718, norm of subgrad 37.704182 stepsize= 1.000000
+dualbound = 3395298.249650, lowerbound=1270780.249650, norm of subgrad 1127.866237 dualbound = 3395298.249650, lowerbound=1270780.249650, norm of subgrad 37.016320 stepsize= 1.000000
+dualbound = 3395378.506625, lowerbound=1261509.506625, norm of subgrad 1123.747528 dualbound = 3395378.506625, lowerbound=1261509.506625, norm of subgrad 37.138349 stepsize= 1.000000
+dualbound = 3395461.209201, lowerbound=1264673.209201, norm of subgrad 1125.132530 dualbound = 3395461.209201, lowerbound=1264673.209201, norm of subgrad 36.506199 stepsize= 1.000000
+dualbound = 3395576.974245, lowerbound=1264348.974245, norm of subgrad 1124.973766 dualbound = 3395576.974245, lowerbound=1264348.974245, norm of subgrad 36.507055 stepsize= 1.000000
+dualbound = 3395659.502169, lowerbound=1268698.502169, norm of subgrad 1126.898621 dualbound = 3395659.502169, lowerbound=1268698.502169, norm of subgrad 35.840311 stepsize= 1.000000
+dualbound = 3395734.645357, lowerbound=1264523.645357, norm of subgrad 1125.069174 dualbound = 3395734.645357, lowerbound=1264523.645357, norm of subgrad 36.498537 stepsize= 1.000000
+dualbound = 3395806.251628, lowerbound=1265746.251628, norm of subgrad 1125.643928 dualbound = 3395806.251628, lowerbound=1265746.251628, norm of subgrad 37.411312 stepsize= 1.000000
+dualbound = 3395874.220208, lowerbound=1265114.220208, norm of subgrad 1125.366260 dualbound = 3395874.220208, lowerbound=1265114.220208, norm of subgrad 37.456222 stepsize= 1.000000
+dualbound = 3395957.319593, lowerbound=1265423.319593, norm of subgrad 1125.514691 dualbound = 3395957.319593, lowerbound=1265423.319593, norm of subgrad 37.988148 stepsize= 1.000000
+dualbound = 3396062.756539, lowerbound=1261130.756539, norm of subgrad 1123.579884 dualbound = 3396062.756539, lowerbound=1261130.756539, norm of subgrad 37.502493 stepsize= 1.000000
+dualbound = 3396166.073631, lowerbound=1265089.073631, norm of subgrad 1125.323986 dualbound = 3396166.073631, lowerbound=1265089.073631, norm of subgrad 36.990770 stepsize= 1.000000
+dualbound = 3396227.228392, lowerbound=1264802.228392, norm of subgrad 1125.223190 dualbound = 3396227.228392, lowerbound=1264802.228392, norm of subgrad 37.231099 stepsize= 1.000000
+dualbound = 3396330.088548, lowerbound=1265772.088548, norm of subgrad 1125.633639 dualbound = 3396330.088548, lowerbound=1265772.088548, norm of subgrad 37.173380 stepsize= 1.000000
+dualbound = 3396398.201697, lowerbound=1269651.201697, norm of subgrad 1127.383786 dualbound = 3396398.201697, lowerbound=1269651.201697, norm of subgrad 37.564786 stepsize= 1.000000
+dualbound = 3396478.155642, lowerbound=1266182.155642, norm of subgrad 1125.817550 dualbound = 3396478.155642, lowerbound=1266182.155642, norm of subgrad 36.918206 stepsize= 1.000000
+dualbound = 3396581.918091, lowerbound=1263347.918091, norm of subgrad 1124.549207 dualbound = 3396581.918091, lowerbound=1263347.918091, norm of subgrad 36.969750 stepsize= 1.000000
+dualbound = 3396652.857722, lowerbound=1267784.857722, norm of subgrad 1126.520687 dualbound = 3396652.857722, lowerbound=1267784.857722, norm of subgrad 36.536826 stepsize= 1.000000
+dualbound = 3396755.103057, lowerbound=1265139.103057, norm of subgrad 1125.336884 dualbound = 3396755.103057, lowerbound=1265139.103057, norm of subgrad 36.691216 stepsize= 1.000000
+dualbound = 3396841.390068, lowerbound=1273807.390068, norm of subgrad 1129.171550 dualbound = 3396841.390068, lowerbound=1273807.390068, norm of subgrad 36.156424 stepsize= 1.000000
+dualbound = 3396941.578796, lowerbound=1262341.578796, norm of subgrad 1124.090112 dualbound = 3396941.578796, lowerbound=1262341.578796, norm of subgrad 36.567591 stepsize= 1.000000
+dualbound = 3396996.291563, lowerbound=1270221.291563, norm of subgrad 1127.583829 dualbound = 3396996.291563, lowerbound=1270221.291563, norm of subgrad 35.759093 stepsize= 1.000000
+dualbound = 3397092.593275, lowerbound=1264215.593275, norm of subgrad 1124.939373 dualbound = 3397092.593275, lowerbound=1264215.593275, norm of subgrad 37.004077 stepsize= 1.000000
+dualbound = 3397167.135991, lowerbound=1270861.135991, norm of subgrad 1127.896775 dualbound = 3397167.135991, lowerbound=1270861.135991, norm of subgrad 36.939717 stepsize= 1.000000
+dualbound = 3397242.884783, lowerbound=1265098.884783, norm of subgrad 1125.354560 dualbound = 3397242.884783, lowerbound=1265098.884783, norm of subgrad 37.413217 stepsize= 1.000000
+dualbound = 3397331.403629, lowerbound=1268674.403629, norm of subgrad 1126.923424 dualbound = 3397331.403629, lowerbound=1268674.403629, norm of subgrad 37.020519 stepsize= 1.000000
+dualbound = 3397410.581281, lowerbound=1263454.581281, norm of subgrad 1124.604633 dualbound = 3397410.581281, lowerbound=1263454.581281, norm of subgrad 36.880586 stepsize= 1.000000
+dualbound = 3397510.970981, lowerbound=1267249.970981, norm of subgrad 1126.271713 dualbound = 3397510.970981, lowerbound=1267249.970981, norm of subgrad 36.584009 stepsize= 1.000000
+dualbound = 3397583.473686, lowerbound=1262467.473686, norm of subgrad 1124.157673 dualbound = 3397583.473686, lowerbound=1262467.473686, norm of subgrad 36.544530 stepsize= 1.000000
+dualbound = 3397655.659707, lowerbound=1268499.659707, norm of subgrad 1126.853433 dualbound = 3397655.659707, lowerbound=1268499.659707, norm of subgrad 37.029529 stepsize= 1.000000
+dualbound = 3397759.868410, lowerbound=1264898.868410, norm of subgrad 1125.249247 dualbound = 3397759.868410, lowerbound=1264898.868410, norm of subgrad 37.298910 stepsize= 1.000000
+dualbound = 3397829.560717, lowerbound=1264317.560717, norm of subgrad 1124.976249 dualbound = 3397829.560717, lowerbound=1264317.560717, norm of subgrad 36.382582 stepsize= 1.000000
+dualbound = 3397903.245339, lowerbound=1266434.245339, norm of subgrad 1125.922842 dualbound = 3397903.245339, lowerbound=1266434.245339, norm of subgrad 36.629013 stepsize= 1.000000
+dualbound = 3398011.055917, lowerbound=1261801.055918, norm of subgrad 1123.853663 dualbound = 3398011.055917, lowerbound=1261801.055918, norm of subgrad 36.794165 stepsize= 1.000000
+dualbound = 3398084.911088, lowerbound=1268628.911088, norm of subgrad 1126.870849 dualbound = 3398084.911088, lowerbound=1268628.911088, norm of subgrad 35.816968 stepsize= 1.000000
+dualbound = 3398176.248039, lowerbound=1263806.248039, norm of subgrad 1124.775643 dualbound = 3398176.248039, lowerbound=1263806.248039, norm of subgrad 37.487824 stepsize= 1.000000
+dualbound = 3398222.073157, lowerbound=1268332.073157, norm of subgrad 1126.788389 dualbound = 3398222.073157, lowerbound=1268332.073157, norm of subgrad 36.957071 stepsize= 1.000000
+dualbound = 3398336.857955, lowerbound=1264302.857955, norm of subgrad 1124.980826 dualbound = 3398336.857955, lowerbound=1264302.857955, norm of subgrad 37.333427 stepsize= 1.000000
+dualbound = 3398424.642293, lowerbound=1265145.642293, norm of subgrad 1125.338901 dualbound = 3398424.642293, lowerbound=1265145.642293, norm of subgrad 36.466208 stepsize= 1.000000
+dualbound = 3398511.265859, lowerbound=1266677.265859, norm of subgrad 1126.022764 dualbound = 3398511.265859, lowerbound=1266677.265859, norm of subgrad 36.559863 stepsize= 1.000000
+dualbound = 3398573.404271, lowerbound=1265339.404271, norm of subgrad 1125.459641 dualbound = 3398573.404271, lowerbound=1265339.404271, norm of subgrad 37.177122 stepsize= 1.000000
+dualbound = 3398673.996655, lowerbound=1270788.996655, norm of subgrad 1127.871888 dualbound = 3398673.996655, lowerbound=1270788.996655, norm of subgrad 37.504565 stepsize= 1.000000
+dualbound = 3398736.369202, lowerbound=1264144.369202, norm of subgrad 1124.911716 dualbound = 3398736.369202, lowerbound=1264144.369202, norm of subgrad 36.665686 stepsize= 1.000000
+dualbound = 3398864.447340, lowerbound=1264228.447340, norm of subgrad 1124.904639 dualbound = 3398864.447340, lowerbound=1264228.447340, norm of subgrad 36.195002 stepsize= 1.000000
+dualbound = 3398945.680022, lowerbound=1268790.680022, norm of subgrad 1126.959928 dualbound = 3398945.680022, lowerbound=1268790.680022, norm of subgrad 36.458643 stepsize= 1.000000
+dualbound = 3399011.579102, lowerbound=1269924.579102, norm of subgrad 1127.496155 dualbound = 3399011.579102, lowerbound=1269924.579102, norm of subgrad 37.267936 stepsize= 1.000000
+dualbound = 3399073.729477, lowerbound=1268044.729477, norm of subgrad 1126.643568 dualbound = 3399073.729477, lowerbound=1268044.729477, norm of subgrad 36.649016 stepsize= 1.000000
+dualbound = 3399202.835595, lowerbound=1268386.835595, norm of subgrad 1126.798489 dualbound = 3399202.835595, lowerbound=1268386.835595, norm of subgrad 37.644470 stepsize= 1.000000
+dualbound = 3399281.182422, lowerbound=1267591.182422, norm of subgrad 1126.423181 dualbound = 3399281.182422, lowerbound=1267591.182422, norm of subgrad 36.281494 stepsize= 1.000000
+dualbound = 3399342.076393, lowerbound=1265923.076393, norm of subgrad 1125.706479 dualbound = 3399342.076393, lowerbound=1265923.076393, norm of subgrad 36.781707 stepsize= 1.000000
+dualbound = 3399454.392824, lowerbound=1261284.392824, norm of subgrad 1123.631787 dualbound = 3399454.392824, lowerbound=1261284.392824, norm of subgrad 37.098739 stepsize= 1.000000
+dualbound = 3399510.129197, lowerbound=1264671.129197, norm of subgrad 1125.131161 dualbound = 3399510.129197, lowerbound=1264671.129197, norm of subgrad 36.121135 stepsize= 1.000000
+dualbound = 3399623.711876, lowerbound=1270290.711876, norm of subgrad 1127.603083 dualbound = 3399623.711876, lowerbound=1270290.711876, norm of subgrad 36.215779 stepsize= 1.000000
+dualbound = 3399703.578959, lowerbound=1263769.578959, norm of subgrad 1124.743339 dualbound = 3399703.578959, lowerbound=1263769.578959, norm of subgrad 36.849248 stepsize= 1.000000
+dualbound = 3399756.191904, lowerbound=1267383.191904, norm of subgrad 1126.384567 dualbound = 3399756.191904, lowerbound=1267383.191904, norm of subgrad 37.571438 stepsize= 1.000000
+dualbound = 3399847.799453, lowerbound=1264814.799453, norm of subgrad 1125.203892 dualbound = 3399847.799453, lowerbound=1264814.799453, norm of subgrad 36.886414 stepsize= 1.000000
+dualbound = 3399917.688932, lowerbound=1268966.688932, norm of subgrad 1127.035354 dualbound = 3399917.688932, lowerbound=1268966.688932, norm of subgrad 36.220015 stepsize= 1.000000
+dualbound = 3400050.771675, lowerbound=1264191.771675, norm of subgrad 1124.923451 dualbound = 3400050.771675, lowerbound=1264191.771675, norm of subgrad 37.337417 stepsize= 1.000000
+dualbound = 3400092.237638, lowerbound=1267239.237638, norm of subgrad 1126.259401 dualbound = 3400092.237638, lowerbound=1267239.237638, norm of subgrad 35.531197 stepsize= 1.000000
+dualbound = 3400216.897212, lowerbound=1266215.897212, norm of subgrad 1125.807220 dualbound = 3400216.897212, lowerbound=1266215.897212, norm of subgrad 36.751321 stepsize= 1.000000
+dualbound = 3400276.882325, lowerbound=1268800.882325, norm of subgrad 1126.957356 dualbound = 3400276.882325, lowerbound=1268800.882325, norm of subgrad 35.944194 stepsize= 1.000000
+dualbound = 3400371.663117, lowerbound=1263953.663117, norm of subgrad 1124.821614 dualbound = 3400371.663117, lowerbound=1263953.663117, norm of subgrad 36.942940 stepsize= 1.000000
+dualbound = 3400417.114929, lowerbound=1269165.114929, norm of subgrad 1127.150884 dualbound = 3400417.114929, lowerbound=1269165.114929, norm of subgrad 36.734885 stepsize= 1.000000
+dualbound = 3400529.751351, lowerbound=1267737.751351, norm of subgrad 1126.497116 dualbound = 3400529.751351, lowerbound=1267737.751351, norm of subgrad 37.022107 stepsize= 1.000000
+dualbound = 3400621.251551, lowerbound=1268158.251551, norm of subgrad 1126.708148 dualbound = 3400621.251551, lowerbound=1268158.251551, norm of subgrad 37.476662 stepsize= 1.000000
+dualbound = 3400695.234002, lowerbound=1264087.234002, norm of subgrad 1124.906767 dualbound = 3400695.234002, lowerbound=1264087.234002, norm of subgrad 37.443056 stepsize= 1.000000
+dualbound = 3400759.174772, lowerbound=1262220.174772, norm of subgrad 1124.104610 dualbound = 3400759.174772, lowerbound=1262220.174772, norm of subgrad 38.143686 stepsize= 1.000000
+dualbound = 3400836.162721, lowerbound=1269860.162721, norm of subgrad 1127.447632 dualbound = 3400836.162721, lowerbound=1269860.162721, norm of subgrad 36.810161 stepsize= 1.000000
+dualbound = 3400963.153511, lowerbound=1263048.153511, norm of subgrad 1124.425699 dualbound = 3400963.153511, lowerbound=1263048.153511, norm of subgrad 37.576466 stepsize= 1.000000
+dualbound = 3401026.886924, lowerbound=1263073.886924, norm of subgrad 1124.414019 dualbound = 3401026.886924, lowerbound=1263073.886924, norm of subgrad 36.010185 stepsize= 1.000000
+dualbound = 3401139.723874, lowerbound=1267164.723874, norm of subgrad 1126.228540 dualbound = 3401139.723874, lowerbound=1267164.723874, norm of subgrad 36.590121 stepsize= 1.000000
+dualbound = 3401203.353687, lowerbound=1264865.353687, norm of subgrad 1125.228578 dualbound = 3401203.353687, lowerbound=1264865.353687, norm of subgrad 36.573622 stepsize= 1.000000
+dualbound = 3401268.115358, lowerbound=1267224.115358, norm of subgrad 1126.287315 dualbound = 3401268.115358, lowerbound=1267224.115358, norm of subgrad 36.929144 stepsize= 1.000000
+dualbound = 3401349.160149, lowerbound=1265414.160149, norm of subgrad 1125.486188 dualbound = 3401349.160149, lowerbound=1265414.160149, norm of subgrad 37.229622 stepsize= 1.000000
+dualbound = 3401451.499528, lowerbound=1266872.499528, norm of subgrad 1126.131209 dualbound = 3401451.499528, lowerbound=1266872.499528, norm of subgrad 37.434468 stepsize= 1.000000
+dualbound = 3401550.199929, lowerbound=1266386.199929, norm of subgrad 1125.902394 dualbound = 3401550.199929, lowerbound=1266386.199929, norm of subgrad 36.995951 stepsize= 1.000000
+dualbound = 3401609.777812, lowerbound=1264584.777812, norm of subgrad 1125.101230 dualbound = 3401609.777812, lowerbound=1264584.777812, norm of subgrad 36.435942 stepsize= 1.000000
+dualbound = 3401707.932012, lowerbound=1268990.932012, norm of subgrad 1127.043891 dualbound = 3401707.932012, lowerbound=1268990.932012, norm of subgrad 36.539762 stepsize= 1.000000
+dualbound = 3401786.086906, lowerbound=1266699.086906, norm of subgrad 1126.029790 dualbound = 3401786.086906, lowerbound=1266699.086906, norm of subgrad 36.361448 stepsize= 1.000000
+dualbound = 3401876.556214, lowerbound=1263871.556214, norm of subgrad 1124.772669 dualbound = 3401876.556214, lowerbound=1263871.556214, norm of subgrad 36.503004 stepsize= 1.000000
+dualbound = 3401978.851947, lowerbound=1267463.851947, norm of subgrad 1126.409718 dualbound = 3401978.851947, lowerbound=1267463.851947, norm of subgrad 37.911683 stepsize= 1.000000
+dualbound = 3402015.324892, lowerbound=1264419.324892, norm of subgrad 1125.063254 dualbound = 3402015.324892, lowerbound=1264419.324892, norm of subgrad 37.208506 stepsize= 1.000000
+dualbound = 3402133.127902, lowerbound=1270988.127902, norm of subgrad 1127.962822 dualbound = 3402133.127902, lowerbound=1270988.127902, norm of subgrad 37.812736 stepsize= 1.000000
+dualbound = 3402217.858906, lowerbound=1265448.858906, norm of subgrad 1125.483833 dualbound = 3402217.858906, lowerbound=1265448.858906, norm of subgrad 36.738685 stepsize= 1.000000
+dualbound = 3402312.632661, lowerbound=1270351.632661, norm of subgrad 1127.673992 dualbound = 3402312.632661, lowerbound=1270351.632661, norm of subgrad 37.306484 stepsize= 1.000000
+dualbound = 3402391.072744, lowerbound=1267423.072744, norm of subgrad 1126.376524 dualbound = 3402391.072744, lowerbound=1267423.072744, norm of subgrad 37.140814 stepsize= 1.000000
+dualbound = 3402457.347974, lowerbound=1268269.347974, norm of subgrad 1126.743692 dualbound = 3402457.347974, lowerbound=1268269.347974, norm of subgrad 36.718867 stepsize= 1.000000
+dualbound = 3402534.617926, lowerbound=1266106.617927, norm of subgrad 1125.763571 dualbound = 3402534.617926, lowerbound=1266106.617927, norm of subgrad 36.252861 stepsize= 1.000000
+dualbound = 3402633.655587, lowerbound=1269750.655587, norm of subgrad 1127.410598 dualbound = 3402633.655587, lowerbound=1269750.655587, norm of subgrad 37.457144 stepsize= 1.000000
+dualbound = 3402699.686272, lowerbound=1263683.686272, norm of subgrad 1124.704711 dualbound = 3402699.686272, lowerbound=1263683.686272, norm of subgrad 36.647383 stepsize= 1.000000
+dualbound = 3402783.766338, lowerbound=1267266.766338, norm of subgrad 1126.312464 dualbound = 3402783.766338, lowerbound=1267266.766338, norm of subgrad 37.377534 stepsize= 1.000000
+dualbound = 3402884.579754, lowerbound=1269292.579754, norm of subgrad 1127.183472 dualbound = 3402884.579754, lowerbound=1269292.579754, norm of subgrad 36.753414 stepsize= 1.000000
+dualbound = 3402952.712457, lowerbound=1265150.712457, norm of subgrad 1125.339821 dualbound = 3402952.712457, lowerbound=1265150.712457, norm of subgrad 36.154290 stepsize= 1.000000
+dualbound = 3403069.603761, lowerbound=1259258.603761, norm of subgrad 1122.708156 dualbound = 3403069.603761, lowerbound=1259258.603761, norm of subgrad 36.495086 stepsize= 1.000000
+dualbound = 3403134.492271, lowerbound=1268597.492271, norm of subgrad 1126.892405 dualbound = 3403134.492271, lowerbound=1268597.492271, norm of subgrad 36.795224 stepsize= 1.000000
+dualbound = 3403213.331821, lowerbound=1263189.331821, norm of subgrad 1124.473358 dualbound = 3403213.331821, lowerbound=1263189.331821, norm of subgrad 36.466965 stepsize= 1.000000
+dualbound = 3403303.858399, lowerbound=1267294.858399, norm of subgrad 1126.278766 dualbound = 3403303.858399, lowerbound=1267294.858399, norm of subgrad 36.048947 stepsize= 1.000000
+dualbound = 3403408.714543, lowerbound=1266798.714543, norm of subgrad 1126.077135 dualbound = 3403408.714543, lowerbound=1266798.714543, norm of subgrad 36.821952 stepsize= 1.000000
+dualbound = 3403461.250148, lowerbound=1270632.250148, norm of subgrad 1127.808162 dualbound = 3403461.250148, lowerbound=1270632.250148, norm of subgrad 37.034249 stepsize= 1.000000
+dualbound = 3403537.568095, lowerbound=1262230.568095, norm of subgrad 1124.069646 dualbound = 3403537.568095, lowerbound=1262230.568095, norm of subgrad 37.125705 stepsize= 1.000000
+dualbound = 3403645.879353, lowerbound=1267064.879353, norm of subgrad 1126.213514 dualbound = 3403645.879353, lowerbound=1267064.879353, norm of subgrad 37.420733 stepsize= 1.000000
+dualbound = 3403716.019622, lowerbound=1267008.019622, norm of subgrad 1126.181610 dualbound = 3403716.019622, lowerbound=1267008.019622, norm of subgrad 36.703410 stepsize= 1.000000
+dualbound = 3403788.120910, lowerbound=1269299.120910, norm of subgrad 1127.204117 dualbound = 3403788.120910, lowerbound=1269299.120910, norm of subgrad 36.906656 stepsize= 1.000000
+dualbound = 3403893.119081, lowerbound=1263874.119081, norm of subgrad 1124.796034 dualbound = 3403893.119081, lowerbound=1263874.119081, norm of subgrad 37.376439 stepsize= 1.000000
+dualbound = 3403965.411377, lowerbound=1269783.411377, norm of subgrad 1127.389645 dualbound = 3403965.411377, lowerbound=1269783.411377, norm of subgrad 36.004059 stepsize= 1.000000
+dualbound = 3404086.116703, lowerbound=1261830.116703, norm of subgrad 1123.864812 dualbound = 3404086.116703, lowerbound=1261830.116703, norm of subgrad 36.914839 stepsize= 1.000000
+dualbound = 3404156.590648, lowerbound=1268772.590648, norm of subgrad 1126.941254 dualbound = 3404156.590648, lowerbound=1268772.590648, norm of subgrad 35.978799 stepsize= 1.000000
+dualbound = 3404231.881898, lowerbound=1268979.881898, norm of subgrad 1127.040320 dualbound = 3404231.881898, lowerbound=1268979.881898, norm of subgrad 36.266944 stepsize= 1.000000
+dualbound = 3404312.905396, lowerbound=1266920.905396, norm of subgrad 1126.116293 dualbound = 3404312.905396, lowerbound=1266920.905396, norm of subgrad 36.028093 stepsize= 1.000000
+dualbound = 3404414.166885, lowerbound=1267857.166885, norm of subgrad 1126.535471 dualbound = 3404414.166885, lowerbound=1267857.166885, norm of subgrad 36.417873 stepsize= 1.000000
+dualbound = 3404469.705650, lowerbound=1263398.705650, norm of subgrad 1124.547334 dualbound = 3404469.705650, lowerbound=1263398.705650, norm of subgrad 35.546290 stepsize= 1.000000
+dualbound = 3404578.103070, lowerbound=1265884.103070, norm of subgrad 1125.650080 dualbound = 3404578.103070, lowerbound=1265884.103070, norm of subgrad 36.227026 stepsize= 1.000000
+dualbound = 3404664.666979, lowerbound=1264662.666979, norm of subgrad 1125.113180 dualbound = 3404664.666979, lowerbound=1264662.666979, norm of subgrad 36.104901 stepsize= 1.000000
+dualbound = 3404716.620637, lowerbound=1267560.620637, norm of subgrad 1126.426926 dualbound = 3404716.620637, lowerbound=1267560.620637, norm of subgrad 36.454817 stepsize= 1.000000
+dualbound = 3404793.495892, lowerbound=1269034.495892, norm of subgrad 1127.070315 dualbound = 3404793.495892, lowerbound=1269034.495892, norm of subgrad 36.467455 stepsize= 1.000000
+dualbound = 3404923.513860, lowerbound=1264997.513860, norm of subgrad 1125.265086 dualbound = 3404923.513860, lowerbound=1264997.513860, norm of subgrad 36.796983 stepsize= 1.000000
+dualbound = 3404967.687391, lowerbound=1268987.687391, norm of subgrad 1127.039346 dualbound = 3404967.687391, lowerbound=1268987.687391, norm of subgrad 35.695567 stepsize= 1.000000
+dualbound = 3405090.834045, lowerbound=1266353.834045, norm of subgrad 1125.868036 dualbound = 3405090.834045, lowerbound=1266353.834045, norm of subgrad 36.717117 stepsize= 1.000000
+dualbound = 3405154.175476, lowerbound=1270332.175476, norm of subgrad 1127.623685 dualbound = 3405154.175476, lowerbound=1270332.175476, norm of subgrad 35.585691 stepsize= 1.000000
+dualbound = 3405240.295691, lowerbound=1267011.295691, norm of subgrad 1126.175517 dualbound = 3405240.295691, lowerbound=1267011.295691, norm of subgrad 36.689511 stepsize= 1.000000
+dualbound = 3405320.861784, lowerbound=1269048.861784, norm of subgrad 1127.074027 dualbound = 3405320.861784, lowerbound=1269048.861784, norm of subgrad 36.435780 stepsize= 1.000000
+dualbound = 3405408.147739, lowerbound=1268160.147739, norm of subgrad 1126.697896 dualbound = 3405408.147739, lowerbound=1268160.147739, norm of subgrad 37.084848 stepsize= 1.000000
+dualbound = 3405461.885712, lowerbound=1269827.885712, norm of subgrad 1127.440413 dualbound = 3405461.885712, lowerbound=1269827.885712, norm of subgrad 36.711551 stepsize= 1.000000
+dualbound = 3405558.153156, lowerbound=1264494.153156, norm of subgrad 1125.090287 dualbound = 3405558.153156, lowerbound=1264494.153156, norm of subgrad 37.818877 stepsize= 1.000000
+dualbound = 3405623.144800, lowerbound=1265355.144800, norm of subgrad 1125.458638 dualbound = 3405623.144800, lowerbound=1265355.144800, norm of subgrad 36.972850 stepsize= 1.000000
+dualbound = 3405739.464812, lowerbound=1265823.464812, norm of subgrad 1125.656459 dualbound = 3405739.464812, lowerbound=1265823.464812, norm of subgrad 37.353983 stepsize= 1.000000
+dualbound = 3405815.653879, lowerbound=1267327.653879, norm of subgrad 1126.317297 dualbound = 3405815.653879, lowerbound=1267327.653879, norm of subgrad 36.594932 stepsize= 1.000000
+dualbound = 3405908.805780, lowerbound=1266779.805780, norm of subgrad 1126.070959 dualbound = 3405908.805780, lowerbound=1266779.805780, norm of subgrad 36.730803 stepsize= 1.000000
+dualbound = 3405974.495154, lowerbound=1261555.495154, norm of subgrad 1123.771104 dualbound = 3405974.495154, lowerbound=1261555.495154, norm of subgrad 37.036325 stepsize= 1.000000
+dualbound = 3406080.610509, lowerbound=1266323.610509, norm of subgrad 1125.907461 dualbound = 3406080.610509, lowerbound=1266323.610509, norm of subgrad 38.080380 stepsize= 1.000000
+dualbound = 3406121.022737, lowerbound=1264766.022737, norm of subgrad 1125.215989 dualbound = 3406121.022737, lowerbound=1264766.022737, norm of subgrad 37.221126 stepsize= 1.000000
+dualbound = 3406246.107646, lowerbound=1267063.107646, norm of subgrad 1126.201628 dualbound = 3406246.107646, lowerbound=1267063.107646, norm of subgrad 37.310654 stepsize= 1.000000
+dualbound = 3406319.595630, lowerbound=1265285.595630, norm of subgrad 1125.425073 dualbound = 3406319.595630, lowerbound=1265285.595630, norm of subgrad 37.006594 stepsize= 1.000000
+dualbound = 3406399.840746, lowerbound=1266907.840746, norm of subgrad 1126.120260 dualbound = 3406399.840746, lowerbound=1266907.840746, norm of subgrad 36.321414 stepsize= 1.000000
+dualbound = 3406511.882234, lowerbound=1268494.882234, norm of subgrad 1126.780761 dualbound = 3406511.882234, lowerbound=1268494.882234, norm of subgrad 35.384198 stepsize= 1.000000
+dualbound = 3406594.608785, lowerbound=1263298.608785, norm of subgrad 1124.504161 dualbound = 3406594.608785, lowerbound=1263298.608785, norm of subgrad 35.968410 stepsize= 1.000000
+dualbound = 3406673.854351, lowerbound=1264705.854351, norm of subgrad 1125.112374 dualbound = 3406673.854351, lowerbound=1264705.854351, norm of subgrad 35.372950 stepsize= 1.000000
+dualbound = 3406767.810719, lowerbound=1269107.810719, norm of subgrad 1127.084651 dualbound = 3406767.810719, lowerbound=1269107.810719, norm of subgrad 36.138018 stepsize= 1.000000
+dualbound = 3406843.390934, lowerbound=1267287.390934, norm of subgrad 1126.314073 dualbound = 3406843.390934, lowerbound=1267287.390934, norm of subgrad 37.034851 stepsize= 1.000000
+dualbound = 3406905.033289, lowerbound=1263966.033289, norm of subgrad 1124.811999 dualbound = 3406905.033289, lowerbound=1263966.033289, norm of subgrad 36.022803 stepsize= 1.000000
+dualbound = 3407002.586796, lowerbound=1272160.586796, norm of subgrad 1128.450082 dualbound = 3407002.586796, lowerbound=1272160.586796, norm of subgrad 36.558905 stepsize= 1.000000
+dualbound = 3407091.598822, lowerbound=1268131.598822, norm of subgrad 1126.675463 dualbound = 3407091.598822, lowerbound=1268131.598822, norm of subgrad 36.810488 stepsize= 1.000000
+dualbound = 3407147.640580, lowerbound=1268582.640580, norm of subgrad 1126.883597 dualbound = 3407147.640580, lowerbound=1268582.640580, norm of subgrad 36.606581 stepsize= 1.000000
+dualbound = 3407242.998636, lowerbound=1262705.998636, norm of subgrad 1124.251306 dualbound = 3407242.998636, lowerbound=1262705.998636, norm of subgrad 36.474074 stepsize= 1.000000
+dualbound = 3407359.533714, lowerbound=1269260.533714, norm of subgrad 1127.122679 dualbound = 3407359.533714, lowerbound=1269260.533714, norm of subgrad 35.518095 stepsize= 1.000000
+dualbound = 3407440.979794, lowerbound=1268189.979794, norm of subgrad 1126.700927 dualbound = 3407440.979794, lowerbound=1268189.979794, norm of subgrad 36.693952 stepsize= 1.000000
+dualbound = 3407510.633306, lowerbound=1267328.633306, norm of subgrad 1126.299531 dualbound = 3407510.633306, lowerbound=1267328.633306, norm of subgrad 35.939581 stepsize= 1.000000
+dualbound = 3407598.716776, lowerbound=1272040.716776, norm of subgrad 1128.396968 dualbound = 3407598.716776, lowerbound=1272040.716776, norm of subgrad 36.429157 stepsize= 1.000000
+dualbound = 3407683.306991, lowerbound=1264464.306991, norm of subgrad 1125.037469 dualbound = 3407683.306991, lowerbound=1264464.306991, norm of subgrad 36.463546 stepsize= 1.000000
+dualbound = 3407745.319582, lowerbound=1271398.319582, norm of subgrad 1128.106520 dualbound = 3407745.319582, lowerbound=1271398.319582, norm of subgrad 35.888892 stepsize= 1.000000
+dualbound = 3407850.541870, lowerbound=1266066.541870, norm of subgrad 1125.739997 dualbound = 3407850.541870, lowerbound=1266066.541870, norm of subgrad 36.458501 stepsize= 1.000000
+dualbound = 3407921.045603, lowerbound=1269102.045603, norm of subgrad 1127.095402 dualbound = 3407921.045603, lowerbound=1269102.045603, norm of subgrad 36.228493 stepsize= 1.000000
+dualbound = 3408016.876096, lowerbound=1269368.876096, norm of subgrad 1127.200903 dualbound = 3408016.876096, lowerbound=1269368.876096, norm of subgrad 36.177762 stepsize= 1.000000
+dualbound = 3408094.836783, lowerbound=1268280.836783, norm of subgrad 1126.727490 dualbound = 3408094.836783, lowerbound=1268280.836783, norm of subgrad 36.220998 stepsize= 1.000000
+dualbound = 3408150.648749, lowerbound=1267641.648749, norm of subgrad 1126.463337 dualbound = 3408150.648749, lowerbound=1267641.648749, norm of subgrad 36.521391 stepsize= 1.000000
+dualbound = 3408259.261985, lowerbound=1270748.261985, norm of subgrad 1127.823684 dualbound = 3408259.261985, lowerbound=1270748.261985, norm of subgrad 36.696229 stepsize= 1.000000
+dualbound = 3408345.082385, lowerbound=1261155.082385, norm of subgrad 1123.540423 dualbound = 3408345.082385, lowerbound=1261155.082385, norm of subgrad 35.690621 stepsize= 1.000000
+dualbound = 3408433.014205, lowerbound=1265890.014205, norm of subgrad 1125.641601 dualbound = 3408433.014205, lowerbound=1265890.014205, norm of subgrad 35.593986 stepsize= 1.000000
+dualbound = 3408540.143824, lowerbound=1268311.143824, norm of subgrad 1126.722301 dualbound = 3408540.143824, lowerbound=1268311.143824, norm of subgrad 36.043441 stepsize= 1.000000
+dualbound = 3408575.457367, lowerbound=1267864.457367, norm of subgrad 1126.548471 dualbound = 3408575.457367, lowerbound=1267864.457367, norm of subgrad 35.809406 stepsize= 1.000000
+dualbound = 3408678.452832, lowerbound=1266474.452832, norm of subgrad 1125.949578 dualbound = 3408678.452832, lowerbound=1266474.452832, norm of subgrad 37.296052 stepsize= 1.000000
+dualbound = 3408724.665321, lowerbound=1266175.665321, norm of subgrad 1125.821773 dualbound = 3408724.665321, lowerbound=1266175.665321, norm of subgrad 36.677139 stepsize= 1.000000
+dualbound = 3408844.465389, lowerbound=1263124.465389, norm of subgrad 1124.462301 dualbound = 3408844.465389, lowerbound=1263124.465389, norm of subgrad 37.560619 stepsize= 1.000000
+dualbound = 3408899.295904, lowerbound=1266654.295904, norm of subgrad 1126.047644 dualbound = 3408899.295904, lowerbound=1266654.295904, norm of subgrad 37.199873 stepsize= 1.000000
+dualbound = 3408999.383647, lowerbound=1268621.383647, norm of subgrad 1126.899456 dualbound = 3408999.383647, lowerbound=1268621.383647, norm of subgrad 37.162989 stepsize= 1.000000
+dualbound = 3409078.697793, lowerbound=1265669.697793, norm of subgrad 1125.624581 dualbound = 3409078.697793, lowerbound=1265669.697793, norm of subgrad 37.951471 stepsize= 1.000000
+dualbound = 3409138.584235, lowerbound=1267730.584235, norm of subgrad 1126.517458 dualbound = 3409138.584235, lowerbound=1267730.584235, norm of subgrad 37.025484 stepsize= 1.000000
+dualbound = 3409229.499235, lowerbound=1265904.499235, norm of subgrad 1125.712441 dualbound = 3409229.499235, lowerbound=1265904.499235, norm of subgrad 37.615356 stepsize= 1.000000
+dualbound = 3409333.018086, lowerbound=1267802.018086, norm of subgrad 1126.522089 dualbound = 3409333.018086, lowerbound=1267802.018086, norm of subgrad 36.790200 stepsize= 1.000000
+dualbound = 3409429.286521, lowerbound=1264845.286521, norm of subgrad 1125.214774 dualbound = 3409429.286521, lowerbound=1264845.286521, norm of subgrad 36.868258 stepsize= 1.000000
+dualbound = 3409501.882209, lowerbound=1271666.882209, norm of subgrad 1128.239284 dualbound = 3409501.882209, lowerbound=1271666.882209, norm of subgrad 36.463621 stepsize= 1.000000
+dualbound = 3409582.498184, lowerbound=1265910.498184, norm of subgrad 1125.671577 dualbound = 3409582.498184, lowerbound=1265910.498184, norm of subgrad 36.147143 stepsize= 1.000000
+dualbound = 3409694.097973, lowerbound=1268308.097973, norm of subgrad 1126.718731 dualbound = 3409694.097973, lowerbound=1268308.097973, norm of subgrad 36.036090 stepsize= 1.000000
+dualbound = 3409756.045637, lowerbound=1271526.045637, norm of subgrad 1128.163572 dualbound = 3409756.045637, lowerbound=1271526.045637, norm of subgrad 35.901917 stepsize= 1.000000
+dualbound = 3409857.713121, lowerbound=1267008.713121, norm of subgrad 1126.138852 dualbound = 3409857.713121, lowerbound=1267008.713121, norm of subgrad 35.800384 stepsize= 1.000000
+dualbound = 3409946.018422, lowerbound=1274389.018422, norm of subgrad 1129.416672 dualbound = 3409946.018422, lowerbound=1274389.018422, norm of subgrad 35.795325 stepsize= 1.000000
+dualbound = 3409990.315729, lowerbound=1267665.315729, norm of subgrad 1126.455199 dualbound = 3409990.315729, lowerbound=1267665.315729, norm of subgrad 35.781242 stepsize= 1.000000
+dualbound = 3410080.995662, lowerbound=1267094.995662, norm of subgrad 1126.199803 dualbound = 3410080.995662, lowerbound=1267094.995662, norm of subgrad 36.354916 stepsize= 1.000000
+dualbound = 3410171.218119, lowerbound=1262574.218119, norm of subgrad 1124.185580 dualbound = 3410171.218119, lowerbound=1262574.218119, norm of subgrad 36.183179 stepsize= 1.000000
+dualbound = 3410250.885427, lowerbound=1263141.885427, norm of subgrad 1124.432695 dualbound = 3410250.885427, lowerbound=1263141.885427, norm of subgrad 35.870145 stepsize= 1.000000
+dualbound = 3410351.174837, lowerbound=1263665.174837, norm of subgrad 1124.653802 dualbound = 3410351.174837, lowerbound=1263665.174837, norm of subgrad 35.795103 stepsize= 1.000000
+dualbound = 3410422.295531, lowerbound=1268594.295531, norm of subgrad 1126.858596 dualbound = 3410422.295531, lowerbound=1268594.295531, norm of subgrad 35.876464 stepsize= 1.000000
+dualbound = 3410518.756581, lowerbound=1268660.756581, norm of subgrad 1126.889860 dualbound = 3410518.756581, lowerbound=1268660.756581, norm of subgrad 36.283068 stepsize= 1.000000
+dualbound = 3410597.026156, lowerbound=1271233.026156, norm of subgrad 1128.034586 dualbound = 3410597.026156, lowerbound=1271233.026156, norm of subgrad 36.156183 stepsize= 1.000000
+dualbound = 3410687.464692, lowerbound=1268535.464692, norm of subgrad 1126.822286 dualbound = 3410687.464692, lowerbound=1268535.464692, norm of subgrad 35.825110 stepsize= 1.000000
+dualbound = 3410759.524514, lowerbound=1263253.524514, norm of subgrad 1124.483670 dualbound = 3410759.524514, lowerbound=1263253.524514, norm of subgrad 35.805863 stepsize= 1.000000
+dualbound = 3410859.252238, lowerbound=1275291.252238, norm of subgrad 1129.846119 dualbound = 3410859.252238, lowerbound=1275291.252238, norm of subgrad 36.888043 stepsize= 1.000000
+dualbound = 3410926.529939, lowerbound=1269353.529939, norm of subgrad 1127.186999 dualbound = 3410926.529939, lowerbound=1269353.529939, norm of subgrad 35.556683 stepsize= 1.000000
+dualbound = 3411037.475883, lowerbound=1270798.475883, norm of subgrad 1127.825109 dualbound = 3411037.475883, lowerbound=1270798.475883, norm of subgrad 36.082488 stepsize= 1.000000
+dualbound = 3411113.053169, lowerbound=1272075.053169, norm of subgrad 1128.413955 dualbound = 3411113.053169, lowerbound=1272075.053169, norm of subgrad 36.312220 stepsize= 1.000000
+dualbound = 3411178.728513, lowerbound=1264524.728513, norm of subgrad 1125.057211 dualbound = 3411178.728513, lowerbound=1264524.728513, norm of subgrad 35.981597 stepsize= 1.000000
+dualbound = 3411293.927728, lowerbound=1270995.927728, norm of subgrad 1127.933477 dualbound = 3411293.927728, lowerbound=1270995.927728, norm of subgrad 36.785856 stepsize= 1.000000
+dualbound = 3411334.164524, lowerbound=1264789.164524, norm of subgrad 1125.189391 dualbound = 3411334.164524, lowerbound=1264789.164524, norm of subgrad 36.086518 stepsize= 1.000000
+dualbound = 3411428.000685, lowerbound=1270230.000685, norm of subgrad 1127.595673 dualbound = 3411428.000685, lowerbound=1270230.000685, norm of subgrad 36.549092 stepsize= 1.000000
+dualbound = 3411522.989271, lowerbound=1268532.989271, norm of subgrad 1126.844261 dualbound = 3411522.989271, lowerbound=1268532.989271, norm of subgrad 36.605855 stepsize= 1.000000
+dualbound = 3411598.682863, lowerbound=1271802.682863, norm of subgrad 1128.287057 dualbound = 3411598.682863, lowerbound=1271802.682863, norm of subgrad 36.120543 stepsize= 1.000000
+dualbound = 3411680.827047, lowerbound=1263684.827047, norm of subgrad 1124.676321 dualbound = 3411680.827047, lowerbound=1263684.827047, norm of subgrad 35.974216 stepsize= 1.000000
+dualbound = 3411761.428293, lowerbound=1269012.428293, norm of subgrad 1127.049435 dualbound = 3411761.428293, lowerbound=1269012.428293, norm of subgrad 36.174594 stepsize= 1.000000
+dualbound = 3411830.873006, lowerbound=1263547.873006, norm of subgrad 1124.626548 dualbound = 3411830.873006, lowerbound=1263547.873006, norm of subgrad 36.144774 stepsize= 1.000000
+dualbound = 3411928.570615, lowerbound=1264525.570615, norm of subgrad 1125.037586 dualbound = 3411928.570615, lowerbound=1264525.570615, norm of subgrad 35.800805 stepsize= 1.000000
+dualbound = 3412029.290410, lowerbound=1266052.290410, norm of subgrad 1125.739886 dualbound = 3412029.290410, lowerbound=1266052.290410, norm of subgrad 36.588520 stepsize= 1.000000
+dualbound = 3412090.095430, lowerbound=1265452.095430, norm of subgrad 1125.468834 dualbound = 3412090.095430, lowerbound=1265452.095430, norm of subgrad 35.899931 stepsize= 1.000000
+dualbound = 3412159.026713, lowerbound=1268376.026713, norm of subgrad 1126.778162 dualbound = 3412159.026713, lowerbound=1268376.026713, norm of subgrad 36.358373 stepsize= 1.000000
+dualbound = 3412272.764153, lowerbound=1266105.764153, norm of subgrad 1125.720997 dualbound = 3412272.764153, lowerbound=1266105.764153, norm of subgrad 35.436386 stepsize= 1.000000
+dualbound = 3412343.747863, lowerbound=1271424.747863, norm of subgrad 1128.117347 dualbound = 3412343.747863, lowerbound=1271424.747863, norm of subgrad 35.985882 stepsize= 1.000000
+dualbound = 3412431.150081, lowerbound=1268493.150081, norm of subgrad 1126.788423 dualbound = 3412431.150081, lowerbound=1268493.150081, norm of subgrad 35.304422 stepsize= 1.000000
+dualbound = 3412524.155075, lowerbound=1267159.155075, norm of subgrad 1126.205201 dualbound = 3412524.155075, lowerbound=1267159.155075, norm of subgrad 35.665179 stepsize= 1.000000
+dualbound = 3412581.371690, lowerbound=1263682.371690, norm of subgrad 1124.694346 dualbound = 3412581.371690, lowerbound=1263682.371690, norm of subgrad 36.224531 stepsize= 1.000000
+dualbound = 3412658.688179, lowerbound=1271584.688179, norm of subgrad 1128.203301 dualbound = 3412658.688179, lowerbound=1271584.688179, norm of subgrad 36.541983 stepsize= 1.000000
+dualbound = 3412754.539977, lowerbound=1265457.539977, norm of subgrad 1125.493021 dualbound = 3412754.539977, lowerbound=1265457.539977, norm of subgrad 37.052015 stepsize= 1.000000
+dualbound = 3412815.637006, lowerbound=1271390.637006, norm of subgrad 1128.125719 dualbound = 3412815.637006, lowerbound=1271390.637006, norm of subgrad 36.580009 stepsize= 1.000000
+dualbound = 3412929.773133, lowerbound=1263235.773133, norm of subgrad 1124.490006 dualbound = 3412929.773133, lowerbound=1263235.773133, norm of subgrad 36.825754 stepsize= 1.000000
+dualbound = 3412986.941702, lowerbound=1267216.941702, norm of subgrad 1126.285462 dualbound = 3412986.941702, lowerbound=1267216.941702, norm of subgrad 36.866903 stepsize= 1.000000
+dualbound = 3413088.610997, lowerbound=1272441.610997, norm of subgrad 1128.598516 dualbound = 3413088.610997, lowerbound=1272441.610997, norm of subgrad 37.345271 stepsize= 1.000000
+dualbound = 3413141.407494, lowerbound=1267772.407494, norm of subgrad 1126.504952 dualbound = 3413141.407494, lowerbound=1267772.407494, norm of subgrad 35.969383 stepsize= 1.000000
+dualbound = 3413263.067288, lowerbound=1266340.067288, norm of subgrad 1125.843269 dualbound = 3413263.067288, lowerbound=1266340.067288, norm of subgrad 36.120075 stepsize= 1.000000
+dualbound = 3413340.391546, lowerbound=1274510.391546, norm of subgrad 1129.489438 dualbound = 3413340.391546, lowerbound=1274510.391546, norm of subgrad 36.239816 stepsize= 1.000000
+dualbound = 3413409.350668, lowerbound=1267226.350668, norm of subgrad 1126.235477 dualbound = 3413409.350668, lowerbound=1267226.350668, norm of subgrad 35.340616 stepsize= 1.000000
+dualbound = 3413522.813299, lowerbound=1270717.813299, norm of subgrad 1127.780481 dualbound = 3413522.813299, lowerbound=1270717.813299, norm of subgrad 35.839401 stepsize= 1.000000
+dualbound = 3413586.746086, lowerbound=1263563.746086, norm of subgrad 1124.623380 dualbound = 3413586.746086, lowerbound=1263563.746086, norm of subgrad 35.748186 stepsize= 1.000000
+dualbound = 3413672.300100, lowerbound=1269527.300100, norm of subgrad 1127.257424 dualbound = 3413672.300100, lowerbound=1269527.300100, norm of subgrad 35.602725 stepsize= 1.000000
+dualbound = 3413780.051656, lowerbound=1265457.051656, norm of subgrad 1125.443935 dualbound = 3413780.051656, lowerbound=1265457.051656, norm of subgrad 35.703663 stepsize= 1.000000
+dualbound = 3413840.835616, lowerbound=1274172.835616, norm of subgrad 1129.303695 dualbound = 3413840.835616, lowerbound=1274172.835616, norm of subgrad 34.853751 stepsize= 1.000000
+dualbound = 3413918.883580, lowerbound=1261387.883580, norm of subgrad 1123.666269 dualbound = 3413918.883580, lowerbound=1261387.883580, norm of subgrad 36.277375 stepsize= 1.000000
+dualbound = 3413982.302635, lowerbound=1270521.302635, norm of subgrad 1127.726608 dualbound = 3413982.302635, lowerbound=1270521.302635, norm of subgrad 36.185896 stepsize= 1.000000
+dualbound = 3414083.318855, lowerbound=1268984.318855, norm of subgrad 1127.015669 dualbound = 3414083.318855, lowerbound=1268984.318855, norm of subgrad 35.791287 stepsize= 1.000000
+dualbound = 3414193.046309, lowerbound=1271244.046309, norm of subgrad 1128.021297 dualbound = 3414193.046309, lowerbound=1271244.046309, norm of subgrad 36.023984 stepsize= 1.000000
+dualbound = 3414234.477064, lowerbound=1264487.477064, norm of subgrad 1125.051322 dualbound = 3414234.477064, lowerbound=1264487.477064, norm of subgrad 35.978198 stepsize= 1.000000
+dualbound = 3414321.729926, lowerbound=1266115.729926, norm of subgrad 1125.760068 dualbound = 3414321.729926, lowerbound=1266115.729926, norm of subgrad 36.155952 stepsize= 1.000000
+dualbound = 3414418.539085, lowerbound=1268068.539085, norm of subgrad 1126.612417 dualbound = 3414418.539085, lowerbound=1268068.539085, norm of subgrad 35.830283 stepsize= 1.000000
+dualbound = 3414506.856038, lowerbound=1270900.856038, norm of subgrad 1127.860300 dualbound = 3414506.856038, lowerbound=1270900.856038, norm of subgrad 35.444562 stepsize= 1.000000
+dualbound = 3414592.948109, lowerbound=1266060.948109, norm of subgrad 1125.762829 dualbound = 3414592.948109, lowerbound=1266060.948109, norm of subgrad 36.974208 stepsize= 1.000000
+dualbound = 3414627.100656, lowerbound=1270105.100656, norm of subgrad 1127.556695 dualbound = 3414627.100656, lowerbound=1270105.100656, norm of subgrad 36.237447 stepsize= 1.000000
+dualbound = 3414724.896346, lowerbound=1271124.896346, norm of subgrad 1128.019014 dualbound = 3414724.896346, lowerbound=1271124.896346, norm of subgrad 37.413844 stepsize= 1.000000
+dualbound = 3414799.935449, lowerbound=1269117.935449, norm of subgrad 1127.088255 dualbound = 3414799.935449, lowerbound=1269117.935449, norm of subgrad 35.847442 stepsize= 1.000000
+dualbound = 3414929.937985, lowerbound=1262919.937985, norm of subgrad 1124.328216 dualbound = 3414929.937985, lowerbound=1262919.937985, norm of subgrad 36.386846 stepsize= 1.000000
+dualbound = 3415007.238075, lowerbound=1265295.238075, norm of subgrad 1125.400479 dualbound = 3415007.238075, lowerbound=1265295.238075, norm of subgrad 36.170431 stepsize= 1.000000
+dualbound = 3415072.611699, lowerbound=1270064.611699, norm of subgrad 1127.512577 dualbound = 3415072.611699, lowerbound=1270064.611699, norm of subgrad 35.852108 stepsize= 1.000000
+dualbound = 3415165.524380, lowerbound=1273599.524380, norm of subgrad 1129.071089 dualbound = 3415165.524380, lowerbound=1273599.524380, norm of subgrad 35.984895 stepsize= 1.000000
+dualbound = 3415231.111195, lowerbound=1264572.111195, norm of subgrad 1125.065825 dualbound = 3415231.111195, lowerbound=1264572.111195, norm of subgrad 35.589139 stepsize= 1.000000
+dualbound = 3415309.577199, lowerbound=1266804.577199, norm of subgrad 1126.065086 dualbound = 3415309.577199, lowerbound=1266804.577199, norm of subgrad 36.006472 stepsize= 1.000000
+dualbound = 3415392.079588, lowerbound=1262191.079588, norm of subgrad 1124.021388 dualbound = 3415392.079588, lowerbound=1262191.079588, norm of subgrad 36.269855 stepsize= 1.000000
+dualbound = 3415503.323126, lowerbound=1274816.323126, norm of subgrad 1129.592990 dualbound = 3415503.323126, lowerbound=1274816.323126, norm of subgrad 35.710552 stepsize= 1.000000
+dualbound = 3415575.587441, lowerbound=1265800.587441, norm of subgrad 1125.616981 dualbound = 3415575.587441, lowerbound=1265800.587441, norm of subgrad 35.850583 stepsize= 1.000000
+dualbound = 3415650.116796, lowerbound=1271604.116796, norm of subgrad 1128.201718 dualbound = 3415650.116796, lowerbound=1271604.116796, norm of subgrad 36.187420 stepsize= 1.000000
+dualbound = 3415728.072868, lowerbound=1267159.072868, norm of subgrad 1126.226475 dualbound = 3415728.072868, lowerbound=1267159.072868, norm of subgrad 36.124176 stepsize= 1.000000
+dualbound = 3415811.177064, lowerbound=1273015.177064, norm of subgrad 1128.853036 dualbound = 3415811.177064, lowerbound=1273015.177064, norm of subgrad 37.109355 stepsize= 1.000000
+dualbound = 3415888.820842, lowerbound=1265951.820842, norm of subgrad 1125.683268 dualbound = 3415888.820842, lowerbound=1265951.820842, norm of subgrad 35.897685 stepsize= 1.000000
+dualbound = 3415992.369788, lowerbound=1274356.369788, norm of subgrad 1129.410629 dualbound = 3415992.369788, lowerbound=1274356.369788, norm of subgrad 36.270497 stepsize= 1.000000
+dualbound = 3416043.275337, lowerbound=1265166.275337, norm of subgrad 1125.349401 dualbound = 3416043.275337, lowerbound=1265166.275337, norm of subgrad 35.998688 stepsize= 1.000000
+dualbound = 3416130.582811, lowerbound=1269513.582811, norm of subgrad 1127.262872 dualbound = 3416130.582811, lowerbound=1269513.582811, norm of subgrad 35.990380 stepsize= 1.000000
+dualbound = 3416231.886021, lowerbound=1264334.886021, norm of subgrad 1124.981283 dualbound = 3416231.886021, lowerbound=1264334.886021, norm of subgrad 36.732863 stepsize= 1.000000
+dualbound = 3416289.082943, lowerbound=1274082.082943, norm of subgrad 1129.291407 dualbound = 3416289.082943, lowerbound=1274082.082943, norm of subgrad 35.695895 stepsize= 1.000000
+dualbound = 3416401.503865, lowerbound=1264189.503865, norm of subgrad 1124.885551 dualbound = 3416401.503865, lowerbound=1264189.503865, norm of subgrad 35.922429 stepsize= 1.000000
+dualbound = 3416487.321407, lowerbound=1267493.321407, norm of subgrad 1126.353995 dualbound = 3416487.321407, lowerbound=1267493.321407, norm of subgrad 35.578330 stepsize= 1.000000
+dualbound = 3416578.573859, lowerbound=1268156.573859, norm of subgrad 1126.659919 dualbound = 3416578.573859, lowerbound=1268156.573859, norm of subgrad 36.017391 stepsize= 1.000000
+dualbound = 3416639.412401, lowerbound=1269013.412401, norm of subgrad 1127.037449 dualbound = 3416639.412401, lowerbound=1269013.412401, norm of subgrad 35.508288 stepsize= 1.000000
+dualbound = 3416728.254653, lowerbound=1270162.254653, norm of subgrad 1127.540800 dualbound = 3416728.254653, lowerbound=1270162.254653, norm of subgrad 35.704933 stepsize= 1.000000
+dualbound = 3416794.610424, lowerbound=1271865.610424, norm of subgrad 1128.306966 dualbound = 3416794.610424, lowerbound=1271865.610424, norm of subgrad 35.740114 stepsize= 1.000000
+dualbound = 3416896.827165, lowerbound=1264851.827165, norm of subgrad 1125.202572 dualbound = 3416896.827165, lowerbound=1264851.827165, norm of subgrad 36.485843 stepsize= 1.000000
+dualbound = 3416975.273266, lowerbound=1269650.273266, norm of subgrad 1127.325717 dualbound = 3416975.273266, lowerbound=1269650.273266, norm of subgrad 35.936696 stepsize= 1.000000
+dualbound = 3417045.178761, lowerbound=1262669.178761, norm of subgrad 1124.253165 dualbound = 3417045.178761, lowerbound=1262669.178761, norm of subgrad 36.686585 stepsize= 1.000000
+dualbound = 3417106.569537, lowerbound=1276891.569537, norm of subgrad 1130.529774 dualbound = 3417106.569537, lowerbound=1276891.569537, norm of subgrad 35.600432 stepsize= 1.000000
+dualbound = 3417217.446090, lowerbound=1264579.446090, norm of subgrad 1125.064641 dualbound = 3417217.446090, lowerbound=1264579.446090, norm of subgrad 36.081526 stepsize= 1.000000
+dualbound = 3417274.225967, lowerbound=1270917.225967, norm of subgrad 1127.917207 dualbound = 3417274.225967, lowerbound=1270917.225967, norm of subgrad 36.562000 stepsize= 1.000000
+dualbound = 3417362.439109, lowerbound=1265066.439109, norm of subgrad 1125.265942 dualbound = 3417362.439109, lowerbound=1265066.439109, norm of subgrad 35.287578 stepsize= 1.000000
+dualbound = 3417477.510322, lowerbound=1267787.510322, norm of subgrad 1126.469933 dualbound = 3417477.510322, lowerbound=1267787.510322, norm of subgrad 35.525642 stepsize= 1.000000
+dualbound = 3417578.076329, lowerbound=1267946.076329, norm of subgrad 1126.552740 dualbound = 3417578.076329, lowerbound=1267946.076329, norm of subgrad 35.715067 stepsize= 1.000000
+dualbound = 3417614.497374, lowerbound=1275261.497374, norm of subgrad 1129.815249 dualbound = 3417614.497374, lowerbound=1275261.497374, norm of subgrad 35.460133 stepsize= 1.000000
+dualbound = 3417730.413433, lowerbound=1267333.413433, norm of subgrad 1126.284340 dualbound = 3417730.413433, lowerbound=1267333.413433, norm of subgrad 36.040478 stepsize= 1.000000
+dualbound = 3417806.658987, lowerbound=1271020.658987, norm of subgrad 1127.944883 dualbound = 3417806.658987, lowerbound=1271020.658987, norm of subgrad 36.266314 stepsize= 1.000000
+dualbound = 3417851.540971, lowerbound=1266160.540971, norm of subgrad 1125.811059 dualbound = 3417851.540971, lowerbound=1266160.540971, norm of subgrad 36.536037 stepsize= 1.000000
+dualbound = 3417947.469429, lowerbound=1277111.469429, norm of subgrad 1130.643387 dualbound = 3417947.469429, lowerbound=1277111.469429, norm of subgrad 36.591371 stepsize= 1.000000
+dualbound = 3418033.839528, lowerbound=1268575.839528, norm of subgrad 1126.863718 dualbound = 3418033.839528, lowerbound=1268575.839528, norm of subgrad 36.501645 stepsize= 1.000000
+dualbound = 3418079.957665, lowerbound=1268722.957665, norm of subgrad 1126.943636 dualbound = 3418079.957665, lowerbound=1268722.957665, norm of subgrad 36.402172 stepsize= 1.000000
+dualbound = 3418204.659807, lowerbound=1268159.659807, norm of subgrad 1126.695904 dualbound = 3418204.659807, lowerbound=1268159.659807, norm of subgrad 37.532681 stepsize= 1.000000
+dualbound = 3418251.065183, lowerbound=1273171.065183, norm of subgrad 1128.878233 dualbound = 3418251.065183, lowerbound=1273171.065183, norm of subgrad 35.233583 stepsize= 1.000000
+dualbound = 3418376.622438, lowerbound=1264468.622438, norm of subgrad 1125.006054 dualbound = 3418376.622438, lowerbound=1264468.622438, norm of subgrad 35.993850 stepsize= 1.000000
+dualbound = 3418450.961304, lowerbound=1273066.961304, norm of subgrad 1128.812190 dualbound = 3418450.961304, lowerbound=1273066.961304, norm of subgrad 34.990554 stepsize= 1.000000
+dualbound = 3418548.997596, lowerbound=1263047.997596, norm of subgrad 1124.408288 dualbound = 3418548.997596, lowerbound=1263047.997596, norm of subgrad 36.661101 stepsize= 1.000000
+dualbound = 3418598.000297, lowerbound=1272417.000297, norm of subgrad 1128.564132 dualbound = 3418598.000297, lowerbound=1272417.000297, norm of subgrad 35.902684 stepsize= 1.000000
+dualbound = 3418680.334213, lowerbound=1266041.334213, norm of subgrad 1125.712812 dualbound = 3418680.334213, lowerbound=1266041.334213, norm of subgrad 35.641744 stepsize= 1.000000
+dualbound = 3418775.990874, lowerbound=1271343.990874, norm of subgrad 1128.066927 dualbound = 3418775.990874, lowerbound=1271343.990874, norm of subgrad 35.869997 stepsize= 1.000000
+dualbound = 3418863.763579, lowerbound=1264794.763579, norm of subgrad 1125.157662 dualbound = 3418863.763579, lowerbound=1264794.763579, norm of subgrad 35.675940 stepsize= 1.000000
+dualbound = 3418960.298817, lowerbound=1268326.298817, norm of subgrad 1126.753877 dualbound = 3418960.298817, lowerbound=1268326.298817, norm of subgrad 36.667905 stepsize= 1.000000
+dualbound = 3418994.006238, lowerbound=1269352.006238, norm of subgrad 1127.226244 dualbound = 3418994.006238, lowerbound=1269352.006238, norm of subgrad 36.341539 stepsize= 1.000000
+dualbound = 3419080.622615, lowerbound=1269290.622615, norm of subgrad 1127.183935 dualbound = 3419080.622615, lowerbound=1269290.622615, norm of subgrad 36.600770 stepsize= 1.000000
+dualbound = 3419194.412269, lowerbound=1267442.412269, norm of subgrad 1126.366464 dualbound = 3419194.412269, lowerbound=1267442.412269, norm of subgrad 37.051176 stepsize= 1.000000
+dualbound = 3419264.778718, lowerbound=1273386.778718, norm of subgrad 1128.978644 dualbound = 3419264.778718, lowerbound=1273386.778718, norm of subgrad 35.726271 stepsize= 1.000000
+dualbound = 3419350.156710, lowerbound=1273068.156710, norm of subgrad 1128.880045 dualbound = 3419350.156710, lowerbound=1273068.156710, norm of subgrad 37.247523 stepsize= 1.000000
+dualbound = 3419404.851109, lowerbound=1268535.851109, norm of subgrad 1126.842425 dualbound = 3419404.851109, lowerbound=1268535.851109, norm of subgrad 35.954060 stepsize= 1.000000
+dualbound = 3419517.948561, lowerbound=1267054.948561, norm of subgrad 1126.180247 dualbound = 3419517.948561, lowerbound=1267054.948561, norm of subgrad 36.607342 stepsize= 1.000000
+dualbound = 3419571.075015, lowerbound=1275481.075015, norm of subgrad 1129.902241 dualbound = 3419571.075015, lowerbound=1275481.075015, norm of subgrad 35.371266 stepsize= 1.000000
+dualbound = 3419701.647876, lowerbound=1266642.647876, norm of subgrad 1125.952329 dualbound = 3419701.647876, lowerbound=1266642.647876, norm of subgrad 35.448171 stepsize= 1.000000
+dualbound = 3419774.361980, lowerbound=1265976.361980, norm of subgrad 1125.667074 dualbound = 3419774.361980, lowerbound=1265976.361980, norm of subgrad 34.967329 stepsize= 1.000000
+dualbound = 3419869.737316, lowerbound=1269206.737316, norm of subgrad 1127.113897 dualbound = 3419869.737316, lowerbound=1269206.737316, norm of subgrad 35.698394 stepsize= 1.000000
+dualbound = 3419905.357237, lowerbound=1267184.357237, norm of subgrad 1126.224381 dualbound = 3419905.357237, lowerbound=1267184.357237, norm of subgrad 35.108687 stepsize= 1.000000
+dualbound = 3420026.196295, lowerbound=1269914.196295, norm of subgrad 1127.412611 dualbound = 3420026.196295, lowerbound=1269914.196295, norm of subgrad 35.578632 stepsize= 1.000000
+dualbound = 3420083.757767, lowerbound=1271633.757767, norm of subgrad 1128.186491 dualbound = 3420083.757767, lowerbound=1271633.757767, norm of subgrad 35.050841 stepsize= 1.000000
+dualbound = 3420179.191576, lowerbound=1267075.191576, norm of subgrad 1126.183463 dualbound = 3420179.191576, lowerbound=1267075.191576, norm of subgrad 36.186100 stepsize= 1.000000
+dualbound = 3420242.250940, lowerbound=1273315.250940, norm of subgrad 1128.938108 dualbound = 3420242.250940, lowerbound=1273315.250940, norm of subgrad 35.342034 stepsize= 1.000000
+dualbound = 3420332.189667, lowerbound=1272845.189667, norm of subgrad 1128.746291 dualbound = 3420332.189667, lowerbound=1272845.189667, norm of subgrad 36.234496 stepsize= 1.000000
+dualbound = 3420389.014723, lowerbound=1270561.014723, norm of subgrad 1127.749535 dualbound = 3420389.014723, lowerbound=1270561.014723, norm of subgrad 36.260516 stepsize= 1.000000
+dualbound = 3420482.290921, lowerbound=1267551.290921, norm of subgrad 1126.396596 dualbound = 3420482.290921, lowerbound=1267551.290921, norm of subgrad 36.211548 stepsize= 1.000000
+dualbound = 3420583.467092, lowerbound=1267931.467092, norm of subgrad 1126.573773 dualbound = 3420583.467092, lowerbound=1267931.467092, norm of subgrad 36.581090 stepsize= 1.000000
+dualbound = 3420632.421173, lowerbound=1268600.421173, norm of subgrad 1126.868413 dualbound = 3420632.421173, lowerbound=1268600.421173, norm of subgrad 35.790419 stepsize= 1.000000
+dualbound = 3420730.400151, lowerbound=1269571.400151, norm of subgrad 1127.308920 dualbound = 3420730.400151, lowerbound=1269571.400151, norm of subgrad 36.769267 stepsize= 1.000000
+dualbound = 3420816.758490, lowerbound=1270244.758490, norm of subgrad 1127.577828 dualbound = 3420816.758490, lowerbound=1270244.758490, norm of subgrad 35.684147 stepsize= 1.000000
+dualbound = 3420900.526717, lowerbound=1265214.526717, norm of subgrad 1125.326853 dualbound = 3420900.526717, lowerbound=1265214.526717, norm of subgrad 35.068051 stepsize= 1.000000
+dualbound = 3420992.442974, lowerbound=1274480.442974, norm of subgrad 1129.461572 dualbound = 3420992.442974, lowerbound=1274480.442974, norm of subgrad 35.984945 stepsize= 1.000000
+dualbound = 3421049.394255, lowerbound=1270451.394255, norm of subgrad 1127.703593 dualbound = 3421049.394255, lowerbound=1270451.394255, norm of subgrad 36.344893 stepsize= 1.000000
+dualbound = 3421131.093670, lowerbound=1270782.093670, norm of subgrad 1127.814299 dualbound = 3421131.093670, lowerbound=1270782.093670, norm of subgrad 35.562613 stepsize= 1.000000
+dualbound = 3421222.289257, lowerbound=1267785.289257, norm of subgrad 1126.491140 dualbound = 3421222.289257, lowerbound=1267785.289257, norm of subgrad 35.891442 stepsize= 1.000000
+dualbound = 3421311.554945, lowerbound=1270005.554945, norm of subgrad 1127.474414 dualbound = 3421311.554945, lowerbound=1270005.554945, norm of subgrad 35.808738 stepsize= 1.000000
+dualbound = 3421376.674298, lowerbound=1268594.674298, norm of subgrad 1126.859652 dualbound = 3421376.674298, lowerbound=1268594.674298, norm of subgrad 35.820655 stepsize= 1.000000
+dualbound = 3421476.380282, lowerbound=1270145.380282, norm of subgrad 1127.536421 dualbound = 3421476.380282, lowerbound=1270145.380282, norm of subgrad 35.954221 stepsize= 1.000000
+dualbound = 3421521.308830, lowerbound=1272028.308830, norm of subgrad 1128.381278 dualbound = 3421521.308830, lowerbound=1272028.308830, norm of subgrad 35.509556 stepsize= 1.000000
+dualbound = 3421626.824366, lowerbound=1266978.824366, norm of subgrad 1126.156217 dualbound = 3421626.824366, lowerbound=1266978.824366, norm of subgrad 36.803744 stepsize= 1.000000
+dualbound = 3421693.229964, lowerbound=1267166.229964, norm of subgrad 1126.209674 dualbound = 3421693.229964, lowerbound=1267166.229964, norm of subgrad 35.332784 stepsize= 1.000000
+dualbound = 3421805.942555, lowerbound=1269437.942555, norm of subgrad 1127.216458 dualbound = 3421805.942555, lowerbound=1269437.942555, norm of subgrad 35.940403 stepsize= 1.000000
+dualbound = 3421857.662298, lowerbound=1268130.662298, norm of subgrad 1126.666172 dualbound = 3421857.662298, lowerbound=1268130.662298, norm of subgrad 36.023877 stepsize= 1.000000
+dualbound = 3421943.934264, lowerbound=1270358.934264, norm of subgrad 1127.650626 dualbound = 3421943.934264, lowerbound=1270358.934264, norm of subgrad 36.376805 stepsize= 1.000000
+dualbound = 3422007.090394, lowerbound=1267420.090394, norm of subgrad 1126.340575 dualbound = 3422007.090394, lowerbound=1267420.090394, norm of subgrad 35.863019 stepsize= 1.000000
+dualbound = 3422139.790784, lowerbound=1274173.790784, norm of subgrad 1129.307660 dualbound = 3422139.790784, lowerbound=1274173.790784, norm of subgrad 35.981945 stepsize= 1.000000
+dualbound = 3422207.031966, lowerbound=1265891.031966, norm of subgrad 1125.670037 dualbound = 3422207.031966, lowerbound=1265891.031966, norm of subgrad 36.183438 stepsize= 1.000000
+dualbound = 3422267.920423, lowerbound=1269416.920423, norm of subgrad 1127.227981 dualbound = 3422267.920423, lowerbound=1269416.920423, norm of subgrad 35.873228 stepsize= 1.000000
+dualbound = 3422348.880067, lowerbound=1269817.880067, norm of subgrad 1127.417793 dualbound = 3422348.880067, lowerbound=1269817.880067, norm of subgrad 36.523412 stepsize= 1.000000
+dualbound = 3422441.487593, lowerbound=1271181.487593, norm of subgrad 1128.024595 dualbound = 3422441.487593, lowerbound=1271181.487593, norm of subgrad 36.750613 stepsize= 1.000000
+dualbound = 3422499.263737, lowerbound=1271463.263737, norm of subgrad 1128.157021 dualbound = 3422499.263737, lowerbound=1271463.263737, norm of subgrad 36.507207 stepsize= 1.000000
+dualbound = 3422632.276411, lowerbound=1271003.276411, norm of subgrad 1127.923436 dualbound = 3422632.276411, lowerbound=1271003.276411, norm of subgrad 36.619840 stepsize= 1.000000
+dualbound = 3422699.513435, lowerbound=1272213.513435, norm of subgrad 1128.471760 dualbound = 3422699.513435, lowerbound=1272213.513435, norm of subgrad 36.086521 stepsize= 1.000000
+dualbound = 3422776.296624, lowerbound=1273393.296624, norm of subgrad 1128.996588 dualbound = 3422776.296624, lowerbound=1273393.296624, norm of subgrad 36.287507 stepsize= 1.000000
+dualbound = 3422852.732595, lowerbound=1269681.732595, norm of subgrad 1127.341888 dualbound = 3422852.732595, lowerbound=1269681.732595, norm of subgrad 35.978271 stepsize= 1.000000
+dualbound = 3422935.873279, lowerbound=1268285.873279, norm of subgrad 1126.723956 dualbound = 3422935.873279, lowerbound=1268285.873279, norm of subgrad 36.112888 stepsize= 1.000000
+dualbound = 3423010.243536, lowerbound=1268105.243536, norm of subgrad 1126.652228 dualbound = 3423010.243536, lowerbound=1268105.243536, norm of subgrad 36.254245 stepsize= 1.000000
+dualbound = 3423097.368981, lowerbound=1271007.368981, norm of subgrad 1127.912837 dualbound = 3423097.368981, lowerbound=1271007.368981, norm of subgrad 35.596706 stepsize= 1.000000
+dualbound = 3423182.008530, lowerbound=1265011.008530, norm of subgrad 1125.259529 dualbound = 3423182.008530, lowerbound=1265011.008530, norm of subgrad 35.813957 stepsize= 1.000000
+dualbound = 3423267.470394, lowerbound=1273284.470394, norm of subgrad 1128.930233 dualbound = 3423267.470394, lowerbound=1273284.470394, norm of subgrad 35.839390 stepsize= 1.000000
+dualbound = 3423352.737179, lowerbound=1271630.737179, norm of subgrad 1128.212629 dualbound = 3423352.737179, lowerbound=1271630.737179, norm of subgrad 36.307944 stepsize= 1.000000
+dualbound = 3423405.588002, lowerbound=1267721.588002, norm of subgrad 1126.481508 dualbound = 3423405.588002, lowerbound=1267721.588002, norm of subgrad 35.942326 stepsize= 1.000000
+dualbound = 3423489.941615, lowerbound=1268272.941615, norm of subgrad 1126.695585 dualbound = 3423489.941615, lowerbound=1268272.941615, norm of subgrad 35.416855 stepsize= 1.000000
+dualbound = 3423613.288152, lowerbound=1267506.288152, norm of subgrad 1126.325125 dualbound = 3423613.288152, lowerbound=1267506.288152, norm of subgrad 35.004950 stepsize= 1.000000
+dualbound = 3423673.406839, lowerbound=1267185.406839, norm of subgrad 1126.231507 dualbound = 3423673.406839, lowerbound=1267185.406839, norm of subgrad 35.666773 stepsize= 1.000000
+dualbound = 3423737.357190, lowerbound=1271903.357190, norm of subgrad 1128.342748 dualbound = 3423737.357190, lowerbound=1271903.357190, norm of subgrad 36.303586 stepsize= 1.000000
+dualbound = 3423799.161312, lowerbound=1266154.161312, norm of subgrad 1125.811779 dualbound = 3423799.161312, lowerbound=1266154.161312, norm of subgrad 36.875522 stepsize= 1.000000
+dualbound = 3423884.715616, lowerbound=1272598.715616, norm of subgrad 1128.626473 dualbound = 3423884.715616, lowerbound=1272598.715616, norm of subgrad 35.840679 stepsize= 1.000000
+dualbound = 3423971.560629, lowerbound=1269856.560629, norm of subgrad 1127.415877 dualbound = 3423971.560629, lowerbound=1269856.560629, norm of subgrad 36.011734 stepsize= 1.000000
+dualbound = 3424051.163531, lowerbound=1276438.163531, norm of subgrad 1130.324362 dualbound = 3424051.163531, lowerbound=1276438.163531, norm of subgrad 35.701581 stepsize= 1.000000
+dualbound = 3424134.645637, lowerbound=1271652.645637, norm of subgrad 1128.213918 dualbound = 3424134.645637, lowerbound=1271652.645637, norm of subgrad 36.020579 stepsize= 1.000000
+dualbound = 3424226.303702, lowerbound=1266389.303702, norm of subgrad 1125.880679 dualbound = 3424226.303702, lowerbound=1266389.303702, norm of subgrad 36.189198 stepsize= 1.000000
+dualbound = 3424293.968432, lowerbound=1270203.968432, norm of subgrad 1127.563288 dualbound = 3424293.968432, lowerbound=1270203.968432, norm of subgrad 35.533994 stepsize= 1.000000
+dualbound = 3424389.432027, lowerbound=1273124.432027, norm of subgrad 1128.878396 dualbound = 3424389.432027, lowerbound=1273124.432027, norm of subgrad 36.571349 stepsize= 1.000000
+dualbound = 3424429.777449, lowerbound=1272443.777449, norm of subgrad 1128.568021 dualbound = 3424429.777449, lowerbound=1272443.777449, norm of subgrad 35.529501 stepsize= 1.000000
+dualbound = 3424576.949341, lowerbound=1267032.949341, norm of subgrad 1126.147836 dualbound = 3424576.949341, lowerbound=1267032.949341, norm of subgrad 36.375430 stepsize= 1.000000
+dualbound = 3424621.652024, lowerbound=1268902.652024, norm of subgrad 1127.000289 dualbound = 3424621.652024, lowerbound=1268902.652024, norm of subgrad 35.660941 stepsize= 1.000000
+dualbound = 3424703.984094, lowerbound=1271597.984094, norm of subgrad 1128.177727 dualbound = 3424703.984094, lowerbound=1271597.984094, norm of subgrad 35.627687 stepsize= 1.000000
+dualbound = 3424765.267168, lowerbound=1266035.267168, norm of subgrad 1125.726107 dualbound = 3424765.267168, lowerbound=1266035.267168, norm of subgrad 35.850845 stepsize= 1.000000
+dualbound = 3424894.517871, lowerbound=1273089.517871, norm of subgrad 1128.848315 dualbound = 3424894.517871, lowerbound=1273089.517871, norm of subgrad 36.582109 stepsize= 1.000000
+dualbound = 3424931.065700, lowerbound=1272849.065700, norm of subgrad 1128.736934 dualbound = 3424931.065700, lowerbound=1272849.065700, norm of subgrad 35.136133 stepsize= 1.000000
+dualbound = 3425036.191182, lowerbound=1266383.191182, norm of subgrad 1125.874856 dualbound = 3425036.191182, lowerbound=1266383.191182, norm of subgrad 36.278444 stepsize= 1.000000
+dualbound = 3425091.110928, lowerbound=1268925.110928, norm of subgrad 1127.023563 dualbound = 3425091.110928, lowerbound=1268925.110928, norm of subgrad 36.220433 stepsize= 1.000000
+dualbound = 3425195.868614, lowerbound=1273198.868614, norm of subgrad 1128.900292 dualbound = 3425195.868614, lowerbound=1273198.868614, norm of subgrad 36.355986 stepsize= 1.000000
+dualbound = 3425267.357015, lowerbound=1269953.357015, norm of subgrad 1127.453927 dualbound = 3425267.357015, lowerbound=1269953.357015, norm of subgrad 35.643911 stepsize= 1.000000
+dualbound = 3425358.941199, lowerbound=1269289.941199, norm of subgrad 1127.160122 dualbound = 3425358.941199, lowerbound=1269289.941199, norm of subgrad 35.938617 stepsize= 1.000000
+dualbound = 3425435.756776, lowerbound=1262840.756776, norm of subgrad 1124.302787 dualbound = 3425435.756776, lowerbound=1262840.756776, norm of subgrad 35.955745 stepsize= 1.000000
+dualbound = 3425515.406237, lowerbound=1275296.406237, norm of subgrad 1129.844417 dualbound = 3425515.406237, lowerbound=1275296.406237, norm of subgrad 36.491773 stepsize= 1.000000
+dualbound = 3425584.918229, lowerbound=1267973.918229, norm of subgrad 1126.572198 dualbound = 3425584.918229, lowerbound=1267973.918229, norm of subgrad 35.503690 stepsize= 1.000000
+dualbound = 3425690.434450, lowerbound=1275650.434450, norm of subgrad 1129.956386 dualbound = 3425690.434450, lowerbound=1275650.434450, norm of subgrad 35.447373 stepsize= 1.000000
+dualbound = 3425777.003161, lowerbound=1271418.003161, norm of subgrad 1128.119233 dualbound = 3425777.003161, lowerbound=1271418.003161, norm of subgrad 36.353387 stepsize= 1.000000
+dualbound = 3425817.702998, lowerbound=1271846.702998, norm of subgrad 1128.299031 dualbound = 3425817.702998, lowerbound=1271846.702998, norm of subgrad 35.393500 stepsize= 1.000000
+dualbound = 3425935.610116, lowerbound=1267542.610116, norm of subgrad 1126.371435 dualbound = 3425935.610116, lowerbound=1267542.610116, norm of subgrad 35.887423 stepsize= 1.000000
+dualbound = 3426010.176729, lowerbound=1277517.176729, norm of subgrad 1130.779455 dualbound = 3426010.176729, lowerbound=1277517.176729, norm of subgrad 34.922294 stepsize= 1.000000
+dualbound = 3426100.319671, lowerbound=1270230.319671, norm of subgrad 1127.559453 dualbound = 3426100.319671, lowerbound=1270230.319671, norm of subgrad 35.357361 stepsize= 1.000000
+dualbound = 3426151.630435, lowerbound=1267670.630435, norm of subgrad 1126.464216 dualbound = 3426151.630435, lowerbound=1267670.630435, norm of subgrad 36.087543 stepsize= 1.000000
+dualbound = 3426211.478359, lowerbound=1266457.478359, norm of subgrad 1125.929606 dualbound = 3426211.478359, lowerbound=1266457.478359, norm of subgrad 36.329711 stepsize= 1.000000
+dualbound = 3426306.847348, lowerbound=1271262.847348, norm of subgrad 1128.061101 dualbound = 3426306.847348, lowerbound=1271262.847348, norm of subgrad 36.801753 stepsize= 1.000000
+dualbound = 3426399.753174, lowerbound=1268885.753174, norm of subgrad 1127.001221 dualbound = 3426399.753174, lowerbound=1268885.753174, norm of subgrad 36.591062 stepsize= 1.000000
+dualbound = 3426486.649880, lowerbound=1271976.649880, norm of subgrad 1128.343321 dualbound = 3426486.649880, lowerbound=1271976.649880, norm of subgrad 35.621576 stepsize= 1.000000
+dualbound = 3426573.530158, lowerbound=1271286.530158, norm of subgrad 1128.054755 dualbound = 3426573.530158, lowerbound=1271286.530158, norm of subgrad 36.164627 stepsize= 1.000000
+dualbound = 3426621.796617, lowerbound=1273220.796617, norm of subgrad 1128.943221 dualbound = 3426621.796617, lowerbound=1273220.796617, norm of subgrad 36.609650 stepsize= 1.000000
+dualbound = 3426718.841563, lowerbound=1268692.841563, norm of subgrad 1126.893891 dualbound = 3426718.841563, lowerbound=1268692.841563, norm of subgrad 35.972836 stepsize= 1.000000
+dualbound = 3426828.714826, lowerbound=1272364.714826, norm of subgrad 1128.521916 dualbound = 3426828.714826, lowerbound=1272364.714826, norm of subgrad 36.150702 stepsize= 1.000000
+dualbound = 3426874.511086, lowerbound=1271148.511086, norm of subgrad 1128.007319 dualbound = 3426874.511086, lowerbound=1271148.511086, norm of subgrad 36.024939 stepsize= 1.000000
+dualbound = 3426959.376785, lowerbound=1270840.376785, norm of subgrad 1127.876047 dualbound = 3426959.376785, lowerbound=1270840.376785, norm of subgrad 36.726907 stepsize= 1.000000
+dualbound = 3427035.658800, lowerbound=1269873.658800, norm of subgrad 1127.408382 dualbound = 3427035.658800, lowerbound=1269873.658800, norm of subgrad 35.387597 stepsize= 1.000000
+dualbound = 3427134.142890, lowerbound=1266195.142890, norm of subgrad 1125.770022 dualbound = 3427134.142890, lowerbound=1266195.142890, norm of subgrad 35.517377 stepsize= 1.000000
+dualbound = 3427233.681730, lowerbound=1271297.681730, norm of subgrad 1128.046401 dualbound = 3427233.681730, lowerbound=1271297.681730, norm of subgrad 35.924070 stepsize= 1.000000
+dualbound = 3427271.826131, lowerbound=1268454.826131, norm of subgrad 1126.810022 dualbound = 3427271.826131, lowerbound=1268454.826131, norm of subgrad 35.834961 stepsize= 1.000000
+dualbound = 3427358.677467, lowerbound=1271585.677467, norm of subgrad 1128.204183 dualbound = 3427358.677467, lowerbound=1271585.677467, norm of subgrad 36.685847 stepsize= 1.000000
+dualbound = 3427450.555756, lowerbound=1272879.555756, norm of subgrad 1128.736708 dualbound = 3427450.555756, lowerbound=1272879.555756, norm of subgrad 35.480675 stepsize= 1.000000
+dualbound = 3427533.302693, lowerbound=1269715.302693, norm of subgrad 1127.345246 dualbound = 3427533.302693, lowerbound=1269715.302693, norm of subgrad 35.703598 stepsize= 1.000000
+dualbound = 3427612.046823, lowerbound=1269888.046823, norm of subgrad 1127.428511 dualbound = 3427612.046823, lowerbound=1269888.046823, norm of subgrad 35.857274 stepsize= 1.000000
+dualbound = 3427694.603058, lowerbound=1272728.603058, norm of subgrad 1128.677369 dualbound = 3427694.603058, lowerbound=1272728.603058, norm of subgrad 35.588709 stepsize= 1.000000
+dualbound = 3427771.677593, lowerbound=1264537.677593, norm of subgrad 1125.025190 dualbound = 3427771.677593, lowerbound=1264537.677593, norm of subgrad 34.943877 stepsize= 1.000000
+dualbound = 3427884.243847, lowerbound=1272799.243847, norm of subgrad 1128.697587 dualbound = 3427884.243847, lowerbound=1272799.243847, norm of subgrad 35.659028 stepsize= 1.000000
+dualbound = 3427940.403848, lowerbound=1269238.403848, norm of subgrad 1127.124840 dualbound = 3427940.403848, lowerbound=1269238.403848, norm of subgrad 35.045114 stepsize= 1.000000
+dualbound = 3428044.874198, lowerbound=1271354.874198, norm of subgrad 1128.046929 dualbound = 3428044.874198, lowerbound=1271354.874198, norm of subgrad 35.206112 stepsize= 1.000000
+dualbound = 3428108.694587, lowerbound=1267975.694587, norm of subgrad 1126.557897 dualbound = 3428108.694587, lowerbound=1267975.694587, norm of subgrad 34.940240 stepsize= 1.000000
+dualbound = 3428169.842740, lowerbound=1272923.842740, norm of subgrad 1128.763413 dualbound = 3428169.842740, lowerbound=1272923.842740, norm of subgrad 35.272484 stepsize= 1.000000
+dualbound = 3428262.053843, lowerbound=1271947.053843, norm of subgrad 1128.341284 dualbound = 3428262.053843, lowerbound=1271947.053843, norm of subgrad 36.044571 stepsize= 1.000000
+dualbound = 3428339.000520, lowerbound=1274815.000520, norm of subgrad 1129.609225 dualbound = 3428339.000520, lowerbound=1274815.000520, norm of subgrad 35.762364 stepsize= 1.000000
+dualbound = 3428415.410109, lowerbound=1269404.410109, norm of subgrad 1127.214891 dualbound = 3428415.410109, lowerbound=1269404.410109, norm of subgrad 35.852609 stepsize= 1.000000
+dualbound = 3428486.458988, lowerbound=1270302.458988, norm of subgrad 1127.624254 dualbound = 3428486.458988, lowerbound=1270302.458988, norm of subgrad 36.125460 stepsize= 1.000000
+dualbound = 3428567.709048, lowerbound=1270834.709048, norm of subgrad 1127.856688 dualbound = 3428567.709048, lowerbound=1270834.709048, norm of subgrad 36.155913 stepsize= 1.000000
+dualbound = 3428649.479624, lowerbound=1268003.479624, norm of subgrad 1126.602627 dualbound = 3428649.479624, lowerbound=1268003.479624, norm of subgrad 36.218373 stepsize= 1.000000
+dualbound = 3428730.767340, lowerbound=1271298.767340, norm of subgrad 1128.068600 dualbound = 3428730.767340, lowerbound=1271298.767340, norm of subgrad 36.349522 stepsize= 1.000000
+dualbound = 3428819.965287, lowerbound=1270534.965287, norm of subgrad 1127.753947 dualbound = 3428819.965287, lowerbound=1270534.965287, norm of subgrad 37.191369 stepsize= 1.000000
+dualbound = 3428894.908706, lowerbound=1271845.908706, norm of subgrad 1128.295577 dualbound = 3428894.908706, lowerbound=1271845.908706, norm of subgrad 35.776297 stepsize= 1.000000
+dualbound = 3428986.261434, lowerbound=1265794.261434, norm of subgrad 1125.619057 dualbound = 3428986.261434, lowerbound=1265794.261434, norm of subgrad 36.267792 stepsize= 1.000000
+dualbound = 3429065.627738, lowerbound=1273436.627738, norm of subgrad 1128.985663 dualbound = 3429065.627738, lowerbound=1273436.627738, norm of subgrad 35.374656 stepsize= 1.000000
+dualbound = 3429150.958592, lowerbound=1270930.958592, norm of subgrad 1127.899357 dualbound = 3429150.958592, lowerbound=1270930.958592, norm of subgrad 36.212303 stepsize= 1.000000
+dualbound = 3429224.673893, lowerbound=1276823.673893, norm of subgrad 1130.520532 dualbound = 3429224.673893, lowerbound=1276823.673893, norm of subgrad 36.424103 stepsize= 1.000000
+dualbound = 3429293.591528, lowerbound=1267196.591528, norm of subgrad 1126.242244 dualbound = 3429293.591528, lowerbound=1267196.591528, norm of subgrad 35.971067 stepsize= 1.000000
+dualbound = 3429407.382926, lowerbound=1273353.382926, norm of subgrad 1128.995298 dualbound = 3429407.382926, lowerbound=1273353.382926, norm of subgrad 37.293316 stepsize= 1.000000
+dualbound = 3429448.948263, lowerbound=1266241.948263, norm of subgrad 1125.841440 dualbound = 3429448.948263, lowerbound=1266241.948263, norm of subgrad 36.312055 stepsize= 1.000000
+dualbound = 3429541.268650, lowerbound=1267626.268650, norm of subgrad 1126.417893 dualbound = 3429541.268650, lowerbound=1267626.268650, norm of subgrad 35.823461 stepsize= 1.000000
+dualbound = 3429636.833160, lowerbound=1272277.833160, norm of subgrad 1128.469686 dualbound = 3429636.833160, lowerbound=1272277.833160, norm of subgrad 35.518509 stepsize= 1.000000
+dualbound = 3429701.689705, lowerbound=1272028.689705, norm of subgrad 1128.388094 dualbound = 3429701.689705, lowerbound=1272028.689705, norm of subgrad 35.998008 stepsize= 1.000000
+dualbound = 3429790.928249, lowerbound=1269745.928249, norm of subgrad 1127.354393 dualbound = 3429790.928249, lowerbound=1269745.928249, norm of subgrad 35.654432 stepsize= 1.000000
+dualbound = 3429887.467333, lowerbound=1269875.467333, norm of subgrad 1127.400757 dualbound = 3429887.467333, lowerbound=1269875.467333, norm of subgrad 35.405354 stepsize= 1.000000
+dualbound = 3429956.184634, lowerbound=1265408.184634, norm of subgrad 1125.406675 dualbound = 3429956.184634, lowerbound=1265408.184634, norm of subgrad 34.651368 stepsize= 1.000000
+dualbound = 3430073.533951, lowerbound=1274266.533951, norm of subgrad 1129.365988 dualbound = 3430073.533951, lowerbound=1274266.533951, norm of subgrad 36.309080 stepsize= 1.000000
+dualbound = 3430091.546982, lowerbound=1264570.546982, norm of subgrad 1125.087795 dualbound = 3430091.546982, lowerbound=1264570.546982, norm of subgrad 35.637242 stepsize= 1.000000
+dualbound = 3430201.324380, lowerbound=1276003.324380, norm of subgrad 1130.117394 dualbound = 3430201.324380, lowerbound=1276003.324380, norm of subgrad 35.661988 stepsize= 1.000000
+dualbound = 3430288.776643, lowerbound=1268580.776643, norm of subgrad 1126.832630 dualbound = 3430288.776643, lowerbound=1268580.776643, norm of subgrad 35.474671 stepsize= 1.000000
+dualbound = 3430358.293203, lowerbound=1276072.293203, norm of subgrad 1130.170913 dualbound = 3430358.293203, lowerbound=1276072.293203, norm of subgrad 35.826199 stepsize= 1.000000
+dualbound = 3430424.966539, lowerbound=1269111.966539, norm of subgrad 1127.108676 dualbound = 3430424.966539, lowerbound=1269111.966539, norm of subgrad 36.450972 stepsize= 1.000000
+dualbound = 3430520.447325, lowerbound=1270190.447325, norm of subgrad 1127.572812 dualbound = 3430520.447325, lowerbound=1270190.447325, norm of subgrad 36.407153 stepsize= 1.000000
+dualbound = 3430609.189764, lowerbound=1269741.189764, norm of subgrad 1127.350074 dualbound = 3430609.189764, lowerbound=1269741.189764, norm of subgrad 35.577274 stepsize= 1.000000
+dualbound = 3430689.486225, lowerbound=1273419.486225, norm of subgrad 1128.998887 dualbound = 3430689.486225, lowerbound=1273419.486225, norm of subgrad 36.045755 stepsize= 1.000000
+dualbound = 3430743.675469, lowerbound=1266675.675469, norm of subgrad 1125.996748 dualbound = 3430743.675469, lowerbound=1266675.675469, norm of subgrad 35.315567 stepsize= 1.000000
+dualbound = 3430860.674750, lowerbound=1273754.674750, norm of subgrad 1129.141123 dualbound = 3430860.674750, lowerbound=1273754.674750, norm of subgrad 36.359308 stepsize= 1.000000
+dualbound = 3430907.308475, lowerbound=1270037.308475, norm of subgrad 1127.497365 dualbound = 3430907.308475, lowerbound=1270037.308475, norm of subgrad 35.491319 stepsize= 1.000000
+dualbound = 3430992.515918, lowerbound=1271928.515918, norm of subgrad 1128.338830 dualbound = 3430992.515918, lowerbound=1271928.515918, norm of subgrad 36.127655 stepsize= 1.000000
+dualbound = 3431063.885185, lowerbound=1270146.885185, norm of subgrad 1127.583649 dualbound = 3431063.885185, lowerbound=1270146.885185, norm of subgrad 37.004990 stepsize= 1.000000
+dualbound = 3431150.833429, lowerbound=1272365.833429, norm of subgrad 1128.538362 dualbound = 3431150.833429, lowerbound=1272365.833429, norm of subgrad 36.331092 stepsize= 1.000000
+dualbound = 3431240.498045, lowerbound=1272655.498045, norm of subgrad 1128.633465 dualbound = 3431240.498045, lowerbound=1272655.498045, norm of subgrad 35.322296 stepsize= 1.000000
+dualbound = 3431340.425570, lowerbound=1269786.425570, norm of subgrad 1127.362597 dualbound = 3431340.425570, lowerbound=1269786.425570, norm of subgrad 35.495458 stepsize= 1.000000
+dualbound = 3431395.045276, lowerbound=1272107.045276, norm of subgrad 1128.406418 dualbound = 3431395.045276, lowerbound=1272107.045276, norm of subgrad 35.335813 stepsize= 1.000000
+dualbound = 3431486.790318, lowerbound=1270159.790318, norm of subgrad 1127.551236 dualbound = 3431486.790318, lowerbound=1270159.790318, norm of subgrad 36.107410 stepsize= 1.000000
+dualbound = 3431551.725473, lowerbound=1269222.725473, norm of subgrad 1127.137403 dualbound = 3431551.725473, lowerbound=1269222.725473, norm of subgrad 35.790154 stepsize= 1.000000
+dualbound = 3431636.889009, lowerbound=1271409.889009, norm of subgrad 1128.107658 dualbound = 3431636.889009, lowerbound=1271409.889009, norm of subgrad 36.085503 stepsize= 1.000000
+dualbound = 3431703.540142, lowerbound=1270261.540142, norm of subgrad 1127.593251 dualbound = 3431703.540142, lowerbound=1270261.540142, norm of subgrad 35.660218 stepsize= 1.000000
+dualbound = 3431796.085188, lowerbound=1271702.085188, norm of subgrad 1128.246908 dualbound = 3431796.085188, lowerbound=1271702.085188, norm of subgrad 36.490342 stepsize= 1.000000
+dualbound = 3431858.196021, lowerbound=1268370.196021, norm of subgrad 1126.784893 dualbound = 3431858.196021, lowerbound=1268370.196021, norm of subgrad 36.552850 stepsize= 1.000000
+dualbound = 3431960.082205, lowerbound=1267108.082205, norm of subgrad 1126.202949 dualbound = 3431960.082205, lowerbound=1267108.082205, norm of subgrad 36.426449 stepsize= 1.000000
+dualbound = 3432023.719397, lowerbound=1271455.719397, norm of subgrad 1128.114675 dualbound = 3432023.719397, lowerbound=1271455.719397, norm of subgrad 35.364349 stepsize= 1.000000
+dualbound = 3432127.415866, lowerbound=1269295.415866, norm of subgrad 1127.163438 dualbound = 3432127.415866, lowerbound=1269295.415866, norm of subgrad 36.134422 stepsize= 1.000000
+dualbound = 3432189.370939, lowerbound=1269006.370939, norm of subgrad 1127.026784 dualbound = 3432189.370939, lowerbound=1269006.370939, norm of subgrad 35.283921 stepsize= 1.000000
+dualbound = 3432296.170773, lowerbound=1272483.170773, norm of subgrad 1128.560663 dualbound = 3432296.170773, lowerbound=1272483.170773, norm of subgrad 35.676320 stepsize= 1.000000
+dualbound = 3432362.962379, lowerbound=1273129.962379, norm of subgrad 1128.871987 dualbound = 3432362.962379, lowerbound=1273129.962379, norm of subgrad 35.899744 stepsize= 1.000000
+dualbound = 3432453.078087, lowerbound=1271646.078087, norm of subgrad 1128.194167 dualbound = 3432453.078087, lowerbound=1271646.078087, norm of subgrad 35.582520 stepsize= 1.000000
+dualbound = 3432509.065300, lowerbound=1273112.065300, norm of subgrad 1128.874247 dualbound = 3432509.065300, lowerbound=1273112.065300, norm of subgrad 36.069200 stepsize= 1.000000
+dualbound = 3432594.103835, lowerbound=1270389.103835, norm of subgrad 1127.642720 dualbound = 3432594.103835, lowerbound=1270389.103835, norm of subgrad 35.693676 stepsize= 1.000000
+dualbound = 3432677.236491, lowerbound=1274619.236491, norm of subgrad 1129.517701 dualbound = 3432677.236491, lowerbound=1274619.236491, norm of subgrad 35.694995 stepsize= 1.000000
+dualbound = 3432791.414141, lowerbound=1270660.414141, norm of subgrad 1127.742619 dualbound = 3432791.414141, lowerbound=1270660.414141, norm of subgrad 35.456701 stepsize= 1.000000
+dualbound = 3432862.357805, lowerbound=1270556.357805, norm of subgrad 1127.703134 dualbound = 3432862.357805, lowerbound=1270556.357805, norm of subgrad 35.056293 stepsize= 1.000000
+dualbound = 3432931.142607, lowerbound=1277335.142607, norm of subgrad 1130.756005 dualbound = 3432931.142607, lowerbound=1277335.142607, norm of subgrad 36.644028 stepsize= 1.000000
+dualbound = 3432984.547867, lowerbound=1265232.547867, norm of subgrad 1125.357076 dualbound = 3432984.547867, lowerbound=1265232.547867, norm of subgrad 35.346927 stepsize= 1.000000
+dualbound = 3433096.909472, lowerbound=1275405.909472, norm of subgrad 1129.872962 dualbound = 3433096.909472, lowerbound=1275405.909472, norm of subgrad 36.323018 stepsize= 1.000000
+dualbound = 3433153.783030, lowerbound=1270951.783030, norm of subgrad 1127.887753 dualbound = 3433153.783030, lowerbound=1270951.783030, norm of subgrad 35.154993 stepsize= 1.000000
+dualbound = 3433269.194229, lowerbound=1268635.194229, norm of subgrad 1126.847458 dualbound = 3433269.194229, lowerbound=1268635.194229, norm of subgrad 35.572619 stepsize= 1.000000
+dualbound = 3433339.359687, lowerbound=1271028.359687, norm of subgrad 1127.924359 dualbound = 3433339.359687, lowerbound=1271028.359687, norm of subgrad 35.428314 stepsize= 1.000000
+dualbound = 3433415.569700, lowerbound=1267150.569700, norm of subgrad 1126.200502 dualbound = 3433415.569700, lowerbound=1267150.569700, norm of subgrad 35.400706 stepsize= 1.000000
+dualbound = 3433484.818961, lowerbound=1270371.818961, norm of subgrad 1127.640377 dualbound = 3433484.818961, lowerbound=1270371.818961, norm of subgrad 35.640556 stepsize= 1.000000
+dualbound = 3433587.607323, lowerbound=1267774.607323, norm of subgrad 1126.472196 dualbound = 3433587.607323, lowerbound=1267774.607323, norm of subgrad 35.606016 stepsize= 1.000000
+dualbound = 3433651.585384, lowerbound=1271778.585384, norm of subgrad 1128.233391 dualbound = 3433651.585384, lowerbound=1271778.585384, norm of subgrad 34.582916 stepsize= 1.000000
+dualbound = 3433775.567859, lowerbound=1273547.567859, norm of subgrad 1129.046309 dualbound = 3433775.567859, lowerbound=1273547.567859, norm of subgrad 36.359077 stepsize= 1.000000
+dualbound = 3433814.698692, lowerbound=1271300.698692, norm of subgrad 1128.059705 dualbound = 3433814.698692, lowerbound=1271300.698692, norm of subgrad 35.456041 stepsize= 1.000000
+dualbound = 3433897.491141, lowerbound=1273462.491141, norm of subgrad 1129.001103 dualbound = 3433897.491141, lowerbound=1273462.491141, norm of subgrad 35.549859 stepsize= 1.000000
+dualbound = 3433974.615801, lowerbound=1268537.615801, norm of subgrad 1126.827234 dualbound = 3433974.615801, lowerbound=1268537.615801, norm of subgrad 35.764852 stepsize= 1.000000
+dualbound = 3434066.954319, lowerbound=1271247.954319, norm of subgrad 1128.038543 dualbound = 3434066.954319, lowerbound=1271247.954319, norm of subgrad 36.267596 stepsize= 1.000000
+dualbound = 3434111.766584, lowerbound=1269288.766584, norm of subgrad 1127.174240 dualbound = 3434111.766584, lowerbound=1269288.766584, norm of subgrad 35.746500 stepsize= 1.000000
+dualbound = 3434226.814570, lowerbound=1269834.814570, norm of subgrad 1127.402242 dualbound = 3434226.814570, lowerbound=1269834.814570, norm of subgrad 36.277376 stepsize= 1.000000
+dualbound = 3434283.870283, lowerbound=1268611.870283, norm of subgrad 1126.889023 dualbound = 3434283.870283, lowerbound=1268611.870283, norm of subgrad 36.387576 stepsize= 1.000000
+dualbound = 3434361.036056, lowerbound=1271036.036056, norm of subgrad 1127.948153 dualbound = 3434361.036056, lowerbound=1271036.036056, norm of subgrad 36.168574 stepsize= 1.000000
+dualbound = 3434426.204971, lowerbound=1272559.204971, norm of subgrad 1128.633778 dualbound = 3434426.204971, lowerbound=1272559.204971, norm of subgrad 36.334129 stepsize= 1.000000
+dualbound = 3434538.650381, lowerbound=1268658.650381, norm of subgrad 1126.875614 dualbound = 3434538.650381, lowerbound=1268658.650381, norm of subgrad 36.089409 stepsize= 1.000000
+dualbound = 3434597.138783, lowerbound=1270878.138783, norm of subgrad 1127.860869 dualbound = 3434597.138783, lowerbound=1270878.138783, norm of subgrad 35.362245 stepsize= 1.000000
+dualbound = 3434701.682691, lowerbound=1274232.682691, norm of subgrad 1129.347459 dualbound = 3434701.682691, lowerbound=1274232.682691, norm of subgrad 36.021437 stepsize= 1.000000
+dualbound = 3434751.427945, lowerbound=1270744.427945, norm of subgrad 1127.796714 dualbound = 3434751.427945, lowerbound=1270744.427945, norm of subgrad 35.081979 stepsize= 1.000000
+dualbound = 3434851.067866, lowerbound=1273573.067866, norm of subgrad 1129.054502 dualbound = 3434851.067866, lowerbound=1273573.067866, norm of subgrad 35.925477 stepsize= 1.000000
+dualbound = 3434939.293366, lowerbound=1275346.293366, norm of subgrad 1129.851447 dualbound = 3434939.293366, lowerbound=1275346.293366, norm of subgrad 36.141742 stepsize= 1.000000
+dualbound = 3434998.462154, lowerbound=1270973.462154, norm of subgrad 1127.911992 dualbound = 3434998.462154, lowerbound=1270973.462154, norm of subgrad 35.653454 stepsize= 1.000000
+dualbound = 3435078.240694, lowerbound=1272169.240694, norm of subgrad 1128.437522 dualbound = 3435078.240694, lowerbound=1272169.240694, norm of subgrad 35.801935 stepsize= 1.000000
+dualbound = 3435178.137134, lowerbound=1266992.137134, norm of subgrad 1126.101744 dualbound = 3435178.137134, lowerbound=1266992.137134, norm of subgrad 34.826663 stepsize= 1.000000
+dualbound = 3435248.733468, lowerbound=1271149.733468, norm of subgrad 1128.000768 dualbound = 3435248.733468, lowerbound=1271149.733468, norm of subgrad 36.146872 stepsize= 1.000000
+dualbound = 3435311.935904, lowerbound=1268517.935904, norm of subgrad 1126.824714 dualbound = 3435311.935904, lowerbound=1268517.935904, norm of subgrad 35.765940 stepsize= 1.000000
+dualbound = 3435400.295751, lowerbound=1273393.295751, norm of subgrad 1128.974001 dualbound = 3435400.295751, lowerbound=1273393.295751, norm of subgrad 35.740171 stepsize= 1.000000
+dualbound = 3435506.533693, lowerbound=1270750.533693, norm of subgrad 1127.792771 dualbound = 3435506.533693, lowerbound=1270750.533693, norm of subgrad 35.668445 stepsize= 1.000000
+dualbound = 3435560.462473, lowerbound=1268748.462473, norm of subgrad 1126.901266 dualbound = 3435560.462473, lowerbound=1268748.462473, norm of subgrad 34.812767 stepsize= 1.000000
+dualbound = 3435676.121866, lowerbound=1269605.121866, norm of subgrad 1127.250248 dualbound = 3435676.121866, lowerbound=1269605.121866, norm of subgrad 34.693795 stepsize= 1.000000
+dualbound = 3435753.446678, lowerbound=1270738.446678, norm of subgrad 1127.790515 dualbound = 3435753.446678, lowerbound=1270738.446678, norm of subgrad 35.359932 stepsize= 1.000000
+dualbound = 3435813.163997, lowerbound=1276012.163997, norm of subgrad 1130.140772 dualbound = 3435813.163997, lowerbound=1276012.163997, norm of subgrad 35.576921 stepsize= 1.000000
+dualbound = 3435884.093913, lowerbound=1271318.093913, norm of subgrad 1128.053232 dualbound = 3435884.093913, lowerbound=1271318.093913, norm of subgrad 35.453207 stepsize= 1.000000
+dualbound = 3435964.606854, lowerbound=1276156.606854, norm of subgrad 1130.200693 dualbound = 3435964.606854, lowerbound=1276156.606854, norm of subgrad 35.742313 stepsize= 1.000000
+dualbound = 3436052.295705, lowerbound=1269119.295705, norm of subgrad 1127.095513 dualbound = 3436052.295705, lowerbound=1269119.295705, norm of subgrad 36.231048 stepsize= 1.000000
+dualbound = 3436141.130997, lowerbound=1277562.130997, norm of subgrad 1130.832937 dualbound = 3436141.130997, lowerbound=1277562.130997, norm of subgrad 36.191647 stepsize= 1.000000
+dualbound = 3436206.409428, lowerbound=1268732.409428, norm of subgrad 1126.900355 dualbound = 3436206.409428, lowerbound=1268732.409428, norm of subgrad 35.174969 stepsize= 1.000000
+dualbound = 3436325.666614, lowerbound=1272946.666614, norm of subgrad 1128.764664 dualbound = 3436325.666614, lowerbound=1272946.666614, norm of subgrad 35.808619 stepsize= 1.000000
+dualbound = 3436375.430683, lowerbound=1267805.430683, norm of subgrad 1126.495642 dualbound = 3436375.430683, lowerbound=1267805.430683, norm of subgrad 35.167657 stepsize= 1.000000
+dualbound = 3436448.287719, lowerbound=1277619.287719, norm of subgrad 1130.865725 dualbound = 3436448.287719, lowerbound=1277619.287719, norm of subgrad 36.205760 stepsize= 1.000000
+dualbound = 3436510.713756, lowerbound=1268725.713756, norm of subgrad 1126.932435 dualbound = 3436510.713756, lowerbound=1268725.713756, norm of subgrad 36.241220 stepsize= 1.000000
+dualbound = 3436591.786802, lowerbound=1270952.786802, norm of subgrad 1127.888198 dualbound = 3436591.786802, lowerbound=1270952.786802, norm of subgrad 35.497508 stepsize= 1.000000
+dualbound = 3436701.396206, lowerbound=1266649.396206, norm of subgrad 1125.963319 dualbound = 3436701.396206, lowerbound=1266649.396206, norm of subgrad 35.406347 stepsize= 1.000000
+dualbound = 3436801.814397, lowerbound=1271893.814397, norm of subgrad 1128.294649 dualbound = 3436801.814397, lowerbound=1271893.814397, norm of subgrad 35.431881 stepsize= 1.000000
+dualbound = 3436848.227819, lowerbound=1271276.227819, norm of subgrad 1128.039107 dualbound = 3436848.227819, lowerbound=1271276.227819, norm of subgrad 35.247885 stepsize= 1.000000
+dualbound = 3436945.598436, lowerbound=1273886.598436, norm of subgrad 1129.186698 dualbound = 3436945.598436, lowerbound=1273886.598436, norm of subgrad 35.684319 stepsize= 1.000000
+dualbound = 3436995.712054, lowerbound=1267726.712055, norm of subgrad 1126.463809 dualbound = 3436995.712054, lowerbound=1267726.712055, norm of subgrad 35.271995 stepsize= 1.000000
+dualbound = 3437089.890947, lowerbound=1274590.890947, norm of subgrad 1129.485675 dualbound = 3437089.890947, lowerbound=1274590.890947, norm of subgrad 35.230369 stepsize= 1.000000
+dualbound = 3437173.130411, lowerbound=1272971.130411, norm of subgrad 1128.779930 dualbound = 3437173.130411, lowerbound=1272971.130411, norm of subgrad 35.443469 stepsize= 1.000000
+dualbound = 3437247.426567, lowerbound=1268770.426567, norm of subgrad 1126.924322 dualbound = 3437247.426567, lowerbound=1268770.426567, norm of subgrad 35.528807 stepsize= 1.000000
+dualbound = 3437305.403309, lowerbound=1267827.403309, norm of subgrad 1126.512940 dualbound = 3437305.403309, lowerbound=1267827.403309, norm of subgrad 35.524312 stepsize= 1.000000
+dualbound = 3437404.086732, lowerbound=1268505.086732, norm of subgrad 1126.819456 dualbound = 3437404.086732, lowerbound=1268505.086732, norm of subgrad 36.272351 stepsize= 1.000000
+dualbound = 3437465.456921, lowerbound=1276368.456921, norm of subgrad 1130.297951 dualbound = 3437465.456921, lowerbound=1276368.456921, norm of subgrad 35.586095 stepsize= 1.000000
+dualbound = 3437583.566322, lowerbound=1276382.566322, norm of subgrad 1130.276765 dualbound = 3437583.566322, lowerbound=1276382.566322, norm of subgrad 35.512102 stepsize= 1.000000
+dualbound = 3437619.059871, lowerbound=1273032.059871, norm of subgrad 1128.850770 dualbound = 3437619.059871, lowerbound=1273032.059871, norm of subgrad 36.159280 stepsize= 1.000000
+dualbound = 3437702.758691, lowerbound=1267026.758691, norm of subgrad 1126.165067 dualbound = 3437702.758691, lowerbound=1267026.758691, norm of subgrad 36.120615 stepsize= 1.000000
+dualbound = 3437787.271562, lowerbound=1268591.271562, norm of subgrad 1126.859029 dualbound = 3437787.271562, lowerbound=1268591.271562, norm of subgrad 36.118041 stepsize= 1.000000
+dualbound = 3437848.448980, lowerbound=1270689.448980, norm of subgrad 1127.803817 dualbound = 3437848.448980, lowerbound=1270689.448980, norm of subgrad 36.237790 stepsize= 1.000000
+dualbound = 3437938.384934, lowerbound=1270141.384934, norm of subgrad 1127.540857 dualbound = 3437938.384934, lowerbound=1270141.384934, norm of subgrad 36.012997 stepsize= 1.000000
+dualbound = 3438032.225102, lowerbound=1275567.225102, norm of subgrad 1129.945231 dualbound = 3438032.225102, lowerbound=1275567.225102, norm of subgrad 36.094877 stepsize= 1.000000
+dualbound = 3438094.211771, lowerbound=1271661.211771, norm of subgrad 1128.225692 dualbound = 3438094.211771, lowerbound=1271661.211771, norm of subgrad 35.972026 stepsize= 1.000000
+dualbound = 3438206.834327, lowerbound=1276909.834327, norm of subgrad 1130.540063 dualbound = 3438206.834327, lowerbound=1276909.834327, norm of subgrad 36.381624 stepsize= 1.000000
+dualbound = 3438254.526513, lowerbound=1265372.526513, norm of subgrad 1125.437038 dualbound = 3438254.526513, lowerbound=1265372.526513, norm of subgrad 35.828650 stepsize= 1.000000
+dualbound = 3438360.651295, lowerbound=1276517.651295, norm of subgrad 1130.374120 dualbound = 3438360.651295, lowerbound=1276517.651295, norm of subgrad 36.525673 stepsize= 1.000000
+dualbound = 3438417.612163, lowerbound=1268295.612163, norm of subgrad 1126.714965 dualbound = 3438417.612163, lowerbound=1268295.612163, norm of subgrad 35.326490 stepsize= 1.000000
+dualbound = 3438520.844130, lowerbound=1272555.844130, norm of subgrad 1128.595518 dualbound = 3438520.844130, lowerbound=1272555.844130, norm of subgrad 35.710390 stepsize= 1.000000
+dualbound = 3438580.964080, lowerbound=1269049.964080, norm of subgrad 1127.054996 dualbound = 3438580.964080, lowerbound=1269049.964080, norm of subgrad 35.540399 stepsize= 1.000000
+dualbound = 3438672.660984, lowerbound=1270094.660984, norm of subgrad 1127.515260 dualbound = 3438672.660984, lowerbound=1270094.660984, norm of subgrad 35.884494 stepsize= 1.000000
+dualbound = 3438768.440195, lowerbound=1267428.440195, norm of subgrad 1126.315871 dualbound = 3438768.440195, lowerbound=1267428.440195, norm of subgrad 35.422863 stepsize= 1.000000
+dualbound = 3438844.637936, lowerbound=1274973.637936, norm of subgrad 1129.656425 dualbound = 3438844.637936, lowerbound=1274973.637936, norm of subgrad 35.017106 stepsize= 1.000000
+dualbound = 3438911.800177, lowerbound=1266937.800177, norm of subgrad 1126.122018 dualbound = 3438911.800177, lowerbound=1266937.800177, norm of subgrad 35.779355 stepsize= 1.000000
+dualbound = 3438987.911612, lowerbound=1272165.911612, norm of subgrad 1128.449782 dualbound = 3438987.911612, lowerbound=1272165.911612, norm of subgrad 36.181645 stepsize= 1.000000
+dualbound = 3439055.443735, lowerbound=1267240.443735, norm of subgrad 1126.253721 dualbound = 3439055.443735, lowerbound=1267240.443735, norm of subgrad 35.700590 stepsize= 1.000000
+dualbound = 3439142.552008, lowerbound=1272430.552008, norm of subgrad 1128.564377 dualbound = 3439142.552008, lowerbound=1272430.552008, norm of subgrad 36.250631 stepsize= 1.000000
+dualbound = 3439233.151534, lowerbound=1270858.151534, norm of subgrad 1127.851564 dualbound = 3439233.151534, lowerbound=1270858.151534, norm of subgrad 35.799435 stepsize= 1.000000
+dualbound = 3439320.352401, lowerbound=1270810.352401, norm of subgrad 1127.825054 dualbound = 3439320.352401, lowerbound=1270810.352401, norm of subgrad 35.583716 stepsize= 1.000000
+dualbound = 3439400.484976, lowerbound=1275141.484976, norm of subgrad 1129.754613 dualbound = 3439400.484976, lowerbound=1275141.484976, norm of subgrad 35.834796 stepsize= 1.000000
+dualbound = 3439479.864310, lowerbound=1269834.864310, norm of subgrad 1127.398272 dualbound = 3439479.864310, lowerbound=1269834.864310, norm of subgrad 35.656407 stepsize= 1.000000
+dualbound = 3439552.780616, lowerbound=1271266.780616, norm of subgrad 1128.053093 dualbound = 3439552.780616, lowerbound=1271266.780616, norm of subgrad 36.192766 stepsize= 1.000000
+dualbound = 3439653.760090, lowerbound=1273546.760090, norm of subgrad 1129.038866 dualbound = 3439653.760090, lowerbound=1273546.760090, norm of subgrad 35.818703 stepsize= 1.000000
+dualbound = 3439708.541202, lowerbound=1269360.541202, norm of subgrad 1127.199867 dualbound = 3439708.541202, lowerbound=1269360.541202, norm of subgrad 35.690070 stepsize= 1.000000
+dualbound = 3439790.965581, lowerbound=1272802.965581, norm of subgrad 1128.725815 dualbound = 3439790.965581, lowerbound=1272802.965581, norm of subgrad 36.075260 stepsize= 1.000000
+dualbound = 3439867.476824, lowerbound=1267177.476824, norm of subgrad 1126.215111 dualbound = 3439867.476824, lowerbound=1267177.476824, norm of subgrad 35.489593 stepsize= 1.000000
+dualbound = 3439959.713378, lowerbound=1271202.713378, norm of subgrad 1128.023366 dualbound = 3439959.713378, lowerbound=1271202.713378, norm of subgrad 36.417531 stepsize= 1.000000
+dualbound = 3440021.621784, lowerbound=1274702.621784, norm of subgrad 1129.582499 dualbound = 3440021.621784, lowerbound=1274702.621784, norm of subgrad 36.275452 stepsize= 1.000000
+dualbound = 3440108.412281, lowerbound=1273160.412281, norm of subgrad 1128.884588 dualbound = 3440108.412281, lowerbound=1273160.412281, norm of subgrad 36.149557 stepsize= 1.000000
+dualbound = 3440193.079575, lowerbound=1272982.079575, norm of subgrad 1128.817558 dualbound = 3440193.079575, lowerbound=1272982.079575, norm of subgrad 36.492017 stepsize= 1.000000
+dualbound = 3440255.000294, lowerbound=1275197.000294, norm of subgrad 1129.798655 dualbound = 3440255.000294, lowerbound=1275197.000294, norm of subgrad 36.192827 stepsize= 1.000000
+dualbound = 3440337.433610, lowerbound=1266902.433610, norm of subgrad 1126.125408 dualbound = 3440337.433610, lowerbound=1266902.433610, norm of subgrad 36.584605 stepsize= 1.000000
+dualbound = 3440400.457296, lowerbound=1272724.457296, norm of subgrad 1128.675975 dualbound = 3440400.457296, lowerbound=1272724.457296, norm of subgrad 35.327379 stepsize= 1.000000
+dualbound = 3440503.705895, lowerbound=1270918.705895, norm of subgrad 1127.877079 dualbound = 3440503.705895, lowerbound=1270918.705895, norm of subgrad 35.933948 stepsize= 1.000000
+dualbound = 3440607.544150, lowerbound=1273332.544150, norm of subgrad 1128.968797 dualbound = 3440607.544150, lowerbound=1273332.544150, norm of subgrad 36.631110 stepsize= 1.000000
+dualbound = 3440639.659295, lowerbound=1271958.659295, norm of subgrad 1128.380990 dualbound = 3440639.659295, lowerbound=1271958.659295, norm of subgrad 36.292081 stepsize= 1.000000
+dualbound = 3440737.319507, lowerbound=1269416.319507, norm of subgrad 1127.207753 dualbound = 3440737.319507, lowerbound=1269416.319507, norm of subgrad 35.758359 stepsize= 1.000000
+dualbound = 3440821.909805, lowerbound=1273771.909805, norm of subgrad 1129.156725 dualbound = 3440821.909805, lowerbound=1273771.909805, norm of subgrad 36.160618 stepsize= 1.000000
+dualbound = 3440914.546468, lowerbound=1272563.546468, norm of subgrad 1128.611778 dualbound = 3440914.546468, lowerbound=1272563.546468, norm of subgrad 35.967161 stepsize= 1.000000
+dualbound = 3441005.153127, lowerbound=1274115.153127, norm of subgrad 1129.295423 dualbound = 3441005.153127, lowerbound=1274115.153127, norm of subgrad 35.827457 stepsize= 1.000000
+dualbound = 3441070.195626, lowerbound=1277915.195626, norm of subgrad 1130.967814 dualbound = 3441070.195626, lowerbound=1277915.195626, norm of subgrad 35.185828 stepsize= 1.000000
+dualbound = 3441146.661964, lowerbound=1269698.661964, norm of subgrad 1127.340970 dualbound = 3441146.661964, lowerbound=1269698.661964, norm of subgrad 35.713672 stepsize= 1.000000
+dualbound = 3441213.978439, lowerbound=1274245.978439, norm of subgrad 1129.377695 dualbound = 3441213.978439, lowerbound=1274245.978439, norm of subgrad 36.267292 stepsize= 1.000000
+dualbound = 3441282.929395, lowerbound=1267632.929395, norm of subgrad 1126.429727 dualbound = 3441282.929395, lowerbound=1267632.929395, norm of subgrad 35.776402 stepsize= 1.000000
+dualbound = 3441375.335951, lowerbound=1272031.335951, norm of subgrad 1128.387494 dualbound = 3441375.335951, lowerbound=1272031.335951, norm of subgrad 36.323636 stepsize= 1.000000
+dualbound = 3441452.434009, lowerbound=1271480.434009, norm of subgrad 1128.141584 dualbound = 3441452.434009, lowerbound=1271480.434009, norm of subgrad 36.056873 stepsize= 1.000000
+dualbound = 3441553.630632, lowerbound=1271362.630632, norm of subgrad 1128.072972 dualbound = 3441553.630632, lowerbound=1271362.630632, norm of subgrad 35.877523 stepsize= 1.000000
+dualbound = 3441612.548188, lowerbound=1267878.548188, norm of subgrad 1126.521881 dualbound = 3441612.548188, lowerbound=1267878.548188, norm of subgrad 35.098683 stepsize= 1.000000
+dualbound = 3441702.820863, lowerbound=1273479.820863, norm of subgrad 1128.996378 dualbound = 3441702.820863, lowerbound=1273479.820863, norm of subgrad 35.260072 stepsize= 1.000000
+dualbound = 3441780.823285, lowerbound=1270497.823285, norm of subgrad 1127.700680 dualbound = 3441780.823285, lowerbound=1270497.823285, norm of subgrad 35.902680 stepsize= 1.000000
+dualbound = 3441859.248748, lowerbound=1271028.248748, norm of subgrad 1127.927856 dualbound = 3441859.248748, lowerbound=1271028.248748, norm of subgrad 35.657053 stepsize= 1.000000
+dualbound = 3441928.332975, lowerbound=1266840.332975, norm of subgrad 1126.069417 dualbound = 3441928.332975, lowerbound=1266840.332975, norm of subgrad 35.511748 stepsize= 1.000000
+dualbound = 3442032.669728, lowerbound=1270665.669728, norm of subgrad 1127.788398 dualbound = 3442032.669728, lowerbound=1270665.669728, norm of subgrad 36.678832 stepsize= 1.000000
+dualbound = 3442075.989526, lowerbound=1268332.989526, norm of subgrad 1126.751965 dualbound = 3442075.989526, lowerbound=1268332.989526, norm of subgrad 35.781557 stepsize= 1.000000
+dualbound = 3442187.079663, lowerbound=1278042.079663, norm of subgrad 1131.048664 dualbound = 3442187.079663, lowerbound=1278042.079663, norm of subgrad 36.607242 stepsize= 1.000000
+dualbound = 3442254.112163, lowerbound=1267509.112163, norm of subgrad 1126.357897 dualbound = 3442254.112163, lowerbound=1267509.112163, norm of subgrad 35.214095 stepsize= 1.000000
+dualbound = 3442358.448630, lowerbound=1277261.448630, norm of subgrad 1130.661509 dualbound = 3442358.448630, lowerbound=1277261.448630, norm of subgrad 35.190005 stepsize= 1.000000
+dualbound = 3442441.237997, lowerbound=1262806.237997, norm of subgrad 1124.255415 dualbound = 3442441.237997, lowerbound=1262806.237997, norm of subgrad 35.025553 stepsize= 1.000000
+dualbound = 3442519.716926, lowerbound=1280071.716926, norm of subgrad 1131.946870 dualbound = 3442519.716926, lowerbound=1280071.716926, norm of subgrad 36.200538 stepsize= 1.000000
+dualbound = 3442570.489111, lowerbound=1267815.489111, norm of subgrad 1126.525849 dualbound = 3442570.489111, lowerbound=1267815.489111, norm of subgrad 35.996836 stepsize= 1.000000
+dualbound = 3442672.907033, lowerbound=1272451.907033, norm of subgrad 1128.549470 dualbound = 3442672.907033, lowerbound=1272451.907033, norm of subgrad 35.698990 stepsize= 1.000000
+dualbound = 3442731.455510, lowerbound=1270613.455510, norm of subgrad 1127.723129 dualbound = 3442731.455510, lowerbound=1270613.455510, norm of subgrad 34.706606 stepsize= 1.000000
+dualbound = 3442851.558607, lowerbound=1272654.558607, norm of subgrad 1128.637922 dualbound = 3442851.558607, lowerbound=1272654.558607, norm of subgrad 35.904082 stepsize= 1.000000
+dualbound = 3442909.276658, lowerbound=1268369.276658, norm of subgrad 1126.753423 dualbound = 3442909.276658, lowerbound=1268369.276658, norm of subgrad 35.520671 stepsize= 1.000000
+dualbound = 3442992.367413, lowerbound=1272746.367413, norm of subgrad 1128.731309 dualbound = 3442992.367413, lowerbound=1272746.367413, norm of subgrad 37.028243 stepsize= 1.000000
+dualbound = 3443023.111671, lowerbound=1268317.111671, norm of subgrad 1126.748912 dualbound = 3443023.111671, lowerbound=1268317.111671, norm of subgrad 35.731558 stepsize= 1.000000
+dualbound = 3443131.674523, lowerbound=1274063.674523, norm of subgrad 1129.267760 dualbound = 3443131.674523, lowerbound=1274063.674523, norm of subgrad 35.924405 stepsize= 1.000000
+dualbound = 3443217.848641, lowerbound=1275285.848641, norm of subgrad 1129.814520 dualbound = 3443217.848641, lowerbound=1275285.848641, norm of subgrad 35.793493 stepsize= 1.000000
+dualbound = 3443299.552634, lowerbound=1278520.552634, norm of subgrad 1131.246018 dualbound = 3443299.552634, lowerbound=1278520.552634, norm of subgrad 35.758971 stepsize= 1.000000
+dualbound = 3443381.335895, lowerbound=1264836.335895, norm of subgrad 1125.195688 dualbound = 3443381.335895, lowerbound=1264836.335895, norm of subgrad 36.204741 stepsize= 1.000000
+dualbound = 3443451.916893, lowerbound=1270921.916893, norm of subgrad 1127.867863 dualbound = 3443451.916893, lowerbound=1270921.916893, norm of subgrad 35.136605 stepsize= 1.000000
+dualbound = 3443543.982574, lowerbound=1272778.982574, norm of subgrad 1128.705445 dualbound = 3443543.982574, lowerbound=1272778.982574, norm of subgrad 35.903561 stepsize= 1.000000
+dualbound = 3443618.122106, lowerbound=1276892.122106, norm of subgrad 1130.519404 dualbound = 3443618.122106, lowerbound=1276892.122106, norm of subgrad 35.442059 stepsize= 1.000000
+dualbound = 3443706.073459, lowerbound=1270888.073459, norm of subgrad 1127.863056 dualbound = 3443706.073459, lowerbound=1270888.073459, norm of subgrad 35.706461 stepsize= 1.000000
+dualbound = 3443768.923495, lowerbound=1273577.923495, norm of subgrad 1129.048681 dualbound = 3443768.923495, lowerbound=1273577.923495, norm of subgrad 35.154659 stepsize= 1.000000
+dualbound = 3443849.025287, lowerbound=1268338.025287, norm of subgrad 1126.746655 dualbound = 3443849.025287, lowerbound=1268338.025287, norm of subgrad 36.056924 stepsize= 1.000000
+dualbound = 3443910.266758, lowerbound=1274254.266758, norm of subgrad 1129.363213 dualbound = 3443910.266758, lowerbound=1274254.266758, norm of subgrad 35.612378 stepsize= 1.000000
+dualbound = 3444007.086038, lowerbound=1269255.086038, norm of subgrad 1127.149984 dualbound = 3444007.086038, lowerbound=1269255.086038, norm of subgrad 36.177607 stepsize= 1.000000
+dualbound = 3444066.769176, lowerbound=1271117.769176, norm of subgrad 1127.989703 dualbound = 3444066.769176, lowerbound=1271117.769176, norm of subgrad 36.092702 stepsize= 1.000000
+dualbound = 3444157.632211, lowerbound=1271654.632211, norm of subgrad 1128.220117 dualbound = 3444157.632211, lowerbound=1271654.632211, norm of subgrad 36.288608 stepsize= 1.000000
+dualbound = 3444232.006586, lowerbound=1275802.006586, norm of subgrad 1130.039825 dualbound = 3444232.006586, lowerbound=1275802.006586, norm of subgrad 35.529908 stepsize= 1.000000
+dualbound = 3444337.130829, lowerbound=1267572.130829, norm of subgrad 1126.402739 dualbound = 3444337.130829, lowerbound=1267572.130829, norm of subgrad 36.278427 stepsize= 1.000000
+dualbound = 3444420.630562, lowerbound=1274422.630562, norm of subgrad 1129.438192 dualbound = 3444420.630562, lowerbound=1274422.630562, norm of subgrad 35.937442 stepsize= 1.000000
+dualbound = 3444477.822411, lowerbound=1271595.822411, norm of subgrad 1128.190508 dualbound = 3444477.822411, lowerbound=1271595.822411, norm of subgrad 35.709828 stepsize= 1.000000
+dualbound = 3444538.440101, lowerbound=1274360.440101, norm of subgrad 1129.425713 dualbound = 3444538.440101, lowerbound=1274360.440101, norm of subgrad 36.091795 stepsize= 1.000000
+dualbound = 3444626.127912, lowerbound=1266340.127912, norm of subgrad 1125.845517 dualbound = 3444626.127912, lowerbound=1266340.127912, norm of subgrad 35.716772 stepsize= 1.000000
+dualbound = 3444730.626949, lowerbound=1275545.626949, norm of subgrad 1129.951161 dualbound = 3444730.626949, lowerbound=1275545.626949, norm of subgrad 36.721915 stepsize= 1.000000
+dualbound = 3444787.725329, lowerbound=1270667.725329, norm of subgrad 1127.784875 dualbound = 3444787.725329, lowerbound=1270667.725329, norm of subgrad 35.890087 stepsize= 1.000000
+dualbound = 3444874.709124, lowerbound=1278052.709124, norm of subgrad 1131.079886 dualbound = 3444874.709124, lowerbound=1278052.709124, norm of subgrad 37.094256 stepsize= 1.000000
+dualbound = 3444935.800396, lowerbound=1266498.800396, norm of subgrad 1125.952841 dualbound = 3444935.800396, lowerbound=1266498.800396, norm of subgrad 36.497826 stepsize= 1.000000
+dualbound = 3445041.677890, lowerbound=1273783.677890, norm of subgrad 1129.136253 dualbound = 3445041.677890, lowerbound=1273783.677890, norm of subgrad 35.649369 stepsize= 1.000000
+dualbound = 3445133.910598, lowerbound=1269711.910598, norm of subgrad 1127.331766 dualbound = 3445133.910598, lowerbound=1269711.910598, norm of subgrad 35.457477 stepsize= 1.000000
+dualbound = 3445194.179124, lowerbound=1273573.179124, norm of subgrad 1129.054551 dualbound = 3445194.179124, lowerbound=1273573.179124, norm of subgrad 35.373274 stepsize= 1.000000
+dualbound = 3445275.300250, lowerbound=1272568.300250, norm of subgrad 1128.603695 dualbound = 3445275.300250, lowerbound=1272568.300250, norm of subgrad 35.484097 stepsize= 1.000000
+dualbound = 3445358.767318, lowerbound=1271923.767318, norm of subgrad 1128.313240 dualbound = 3445358.767318, lowerbound=1271923.767318, norm of subgrad 35.361944 stepsize= 1.000000
+dualbound = 3445432.451153, lowerbound=1272488.451153, norm of subgrad 1128.566547 dualbound = 3445432.451153, lowerbound=1272488.451153, norm of subgrad 35.322568 stepsize= 1.000000
+dualbound = 3445504.371639, lowerbound=1275230.371639, norm of subgrad 1129.796164 dualbound = 3445504.371639, lowerbound=1275230.371639, norm of subgrad 35.789950 stepsize= 1.000000
+dualbound = 3445577.600488, lowerbound=1271683.600488, norm of subgrad 1128.205035 dualbound = 3445577.600488, lowerbound=1271683.600488, norm of subgrad 35.160046 stepsize= 1.000000
+dualbound = 3445650.475977, lowerbound=1269615.475977, norm of subgrad 1127.309397 dualbound = 3445650.475977, lowerbound=1269615.475977, norm of subgrad 35.831208 stepsize= 1.000000
+dualbound = 3445745.687781, lowerbound=1269897.687781, norm of subgrad 1127.418151 dualbound = 3445745.687781, lowerbound=1269897.687781, norm of subgrad 35.625999 stepsize= 1.000000
+dualbound = 3445828.016909, lowerbound=1272944.016909, norm of subgrad 1128.788739 dualbound = 3445828.016909, lowerbound=1272944.016909, norm of subgrad 36.087797 stepsize= 1.000000
+dualbound = 3445908.961179, lowerbound=1268172.961179, norm of subgrad 1126.663198 dualbound = 3445908.961179, lowerbound=1268172.961179, norm of subgrad 35.748346 stepsize= 1.000000
+dualbound = 3445963.927798, lowerbound=1276136.927798, norm of subgrad 1130.198623 dualbound = 3445963.927798, lowerbound=1276136.927798, norm of subgrad 35.594475 stepsize= 1.000000
+dualbound = 3446056.519730, lowerbound=1269310.519730, norm of subgrad 1127.204737 dualbound = 3446056.519730, lowerbound=1269310.519730, norm of subgrad 37.048508 stepsize= 1.000000
+dualbound = 3446106.338053, lowerbound=1273750.338053, norm of subgrad 1129.138759 dualbound = 3446106.338053, lowerbound=1273750.338053, norm of subgrad 35.409297 stepsize= 1.000000
+dualbound = 3446248.546454, lowerbound=1268814.546454, norm of subgrad 1126.921713 dualbound = 3446248.546454, lowerbound=1268814.546454, norm of subgrad 35.780000 stepsize= 1.000000
+dualbound = 3446318.969468, lowerbound=1272044.969468, norm of subgrad 1128.375810 dualbound = 3446318.969468, lowerbound=1272044.969468, norm of subgrad 35.460161 stepsize= 1.000000
+dualbound = 3446375.925757, lowerbound=1273280.925757, norm of subgrad 1128.943278 dualbound = 3446375.925757, lowerbound=1273280.925757, norm of subgrad 35.902037 stepsize= 1.000000
+dualbound = 3446446.585687, lowerbound=1272142.585687, norm of subgrad 1128.432801 dualbound = 3446446.585687, lowerbound=1272142.585687, norm of subgrad 35.897910 stepsize= 1.000000
+dualbound = 3446532.222545, lowerbound=1271300.222545, norm of subgrad 1128.060824 dualbound = 3446532.222545, lowerbound=1271300.222545, norm of subgrad 36.147432 stepsize= 1.000000
+dualbound = 3446620.198882, lowerbound=1272479.198882, norm of subgrad 1128.549157 dualbound = 3446620.198882, lowerbound=1272479.198882, norm of subgrad 35.099520 stepsize= 1.000000
+dualbound = 3446714.148558, lowerbound=1270412.148558, norm of subgrad 1127.639193 dualbound = 3446714.148558, lowerbound=1270412.148558, norm of subgrad 35.382901 stepsize= 1.000000
+dualbound = 3446788.325786, lowerbound=1270722.325786, norm of subgrad 1127.786472 dualbound = 3446788.325786, lowerbound=1270722.325786, norm of subgrad 35.414365 stepsize= 1.000000
+dualbound = 3446868.919239, lowerbound=1273233.919239, norm of subgrad 1128.901200 dualbound = 3446868.919239, lowerbound=1273233.919239, norm of subgrad 35.561123 stepsize= 1.000000
+dualbound = 3446947.107684, lowerbound=1274436.107684, norm of subgrad 1129.443273 dualbound = 3446947.107684, lowerbound=1274436.107684, norm of subgrad 35.835575 stepsize= 1.000000
+dualbound = 3447002.509028, lowerbound=1273844.509028, norm of subgrad 1129.172046 dualbound = 3447002.509028, lowerbound=1273844.509028, norm of subgrad 35.219332 stepsize= 1.000000
+dualbound = 3447096.605111, lowerbound=1269814.605111, norm of subgrad 1127.397270 dualbound = 3447096.605111, lowerbound=1269814.605111, norm of subgrad 36.112271 stepsize= 1.000000
+dualbound = 3447164.126095, lowerbound=1274685.126095, norm of subgrad 1129.545982 dualbound = 3447164.126095, lowerbound=1274685.126095, norm of subgrad 35.447440 stepsize= 1.000000
+dualbound = 3447253.267706, lowerbound=1268619.267706, norm of subgrad 1126.867902 dualbound = 3447253.267706, lowerbound=1268619.267706, norm of subgrad 36.071341 stepsize= 1.000000
+dualbound = 3447330.901368, lowerbound=1273260.901368, norm of subgrad 1128.933081 dualbound = 3447330.901368, lowerbound=1273260.901368, norm of subgrad 36.147388 stepsize= 1.000000
+dualbound = 3447401.318775, lowerbound=1270934.318775, norm of subgrad 1127.885331 dualbound = 3447401.318775, lowerbound=1270934.318775, norm of subgrad 35.516439 stepsize= 1.000000
+dualbound = 3447493.016771, lowerbound=1272426.016771, norm of subgrad 1128.542873 dualbound = 3447493.016771, lowerbound=1272426.016771, norm of subgrad 35.702913 stepsize= 1.000000
+dualbound = 3447581.423583, lowerbound=1279517.423583, norm of subgrad 1131.696259 dualbound = 3447581.423583, lowerbound=1279517.423583, norm of subgrad 36.158081 stepsize= 1.000000
+dualbound = 3447641.371666, lowerbound=1267778.371666, norm of subgrad 1126.513813 dualbound = 3447641.371666, lowerbound=1267778.371666, norm of subgrad 36.262213 stepsize= 1.000000
+dualbound = 3447747.348519, lowerbound=1275296.348519, norm of subgrad 1129.807660 dualbound = 3447747.348519, lowerbound=1275296.348519, norm of subgrad 35.706818 stepsize= 1.000000
+dualbound = 3447802.535022, lowerbound=1269036.535022, norm of subgrad 1127.058355 dualbound = 3447802.535022, lowerbound=1269036.535022, norm of subgrad 35.765717 stepsize= 1.000000
+dualbound = 3447881.380263, lowerbound=1270713.380263, norm of subgrad 1127.784722 dualbound = 3447881.380263, lowerbound=1270713.380263, norm of subgrad 35.550601 stepsize= 1.000000
+dualbound = 3447960.961383, lowerbound=1273701.961383, norm of subgrad 1129.110252 dualbound = 3447960.961383, lowerbound=1273701.961383, norm of subgrad 35.603105 stepsize= 1.000000
+dualbound = 3448050.572100, lowerbound=1271635.572100, norm of subgrad 1128.180204 dualbound = 3448050.572100, lowerbound=1271635.572100, norm of subgrad 35.279041 stepsize= 1.000000
+dualbound = 3448134.975542, lowerbound=1271943.975542, norm of subgrad 1128.347010 dualbound = 3448134.975542, lowerbound=1271943.975542, norm of subgrad 36.158034 stepsize= 1.000000
+dualbound = 3448203.689261, lowerbound=1267571.689261, norm of subgrad 1126.415860 dualbound = 3448203.689261, lowerbound=1267571.689261, norm of subgrad 36.189967 stepsize= 1.000000
+dualbound = 3448279.387323, lowerbound=1279867.387323, norm of subgrad 1131.832756 dualbound = 3448279.387323, lowerbound=1279867.387323, norm of subgrad 35.407599 stepsize= 1.000000
+dualbound = 3448376.671434, lowerbound=1268428.671434, norm of subgrad 1126.785104 dualbound = 3448376.671434, lowerbound=1268428.671434, norm of subgrad 36.239262 stepsize= 1.000000
+dualbound = 3448424.909566, lowerbound=1272947.909566, norm of subgrad 1128.809510 dualbound = 3448424.909566, lowerbound=1272947.909566, norm of subgrad 36.211022 stepsize= 1.000000
+dualbound = 3448510.322369, lowerbound=1267598.322369, norm of subgrad 1126.413921 dualbound = 3448510.322369, lowerbound=1267598.322369, norm of subgrad 35.991844 stepsize= 1.000000
+dualbound = 3448588.927594, lowerbound=1276024.927594, norm of subgrad 1130.143322 dualbound = 3448588.927594, lowerbound=1276024.927594, norm of subgrad 35.743604 stepsize= 1.000000
+dualbound = 3448674.439632, lowerbound=1274754.439632, norm of subgrad 1129.581533 dualbound = 3448674.439632, lowerbound=1274754.439632, norm of subgrad 35.854038 stepsize= 1.000000
+dualbound = 3448756.165963, lowerbound=1270670.165963, norm of subgrad 1127.768667 dualbound = 3448756.165963, lowerbound=1270670.165963, norm of subgrad 35.689303 stepsize= 1.000000
+dualbound = 3448840.911734, lowerbound=1266119.911734, norm of subgrad 1125.748601 dualbound = 3448840.911734, lowerbound=1266119.911734, norm of subgrad 35.703582 stepsize= 1.000000
+dualbound = 3448899.896895, lowerbound=1275474.896895, norm of subgrad 1129.908800 dualbound = 3448899.896895, lowerbound=1275474.896895, norm of subgrad 35.748918 stepsize= 1.000000
+dualbound = 3449008.900322, lowerbound=1270798.900322, norm of subgrad 1127.796037 dualbound = 3449008.900322, lowerbound=1270798.900322, norm of subgrad 35.128385 stepsize= 1.000000
+dualbound = 3449064.343732, lowerbound=1274983.343732, norm of subgrad 1129.689933 dualbound = 3449064.343732, lowerbound=1274983.343732, norm of subgrad 35.657305 stepsize= 1.000000
+dualbound = 3449145.312013, lowerbound=1271012.312013, norm of subgrad 1127.925224 dualbound = 3449145.312013, lowerbound=1271012.312013, norm of subgrad 35.832503 stepsize= 1.000000
+dualbound = 3449235.403877, lowerbound=1272160.403877, norm of subgrad 1128.435379 dualbound = 3449235.403877, lowerbound=1272160.403877, norm of subgrad 36.001276 stepsize= 1.000000
+dualbound = 3449307.543291, lowerbound=1270427.543291, norm of subgrad 1127.663755 dualbound = 3449307.543291, lowerbound=1270427.543291, norm of subgrad 35.639015 stepsize= 1.000000
+dualbound = 3449386.623499, lowerbound=1277353.623499, norm of subgrad 1130.734108 dualbound = 3449386.623499, lowerbound=1277353.623499, norm of subgrad 35.848015 stepsize= 1.000000
+dualbound = 3449473.152874, lowerbound=1268260.152874, norm of subgrad 1126.687691 dualbound = 3449473.152874, lowerbound=1268260.152874, norm of subgrad 35.376961 stepsize= 1.000000
+dualbound = 3449543.853508, lowerbound=1276121.853508, norm of subgrad 1130.215844 dualbound = 3449543.853508, lowerbound=1276121.853508, norm of subgrad 36.560917 stepsize= 1.000000
+dualbound = 3449610.892952, lowerbound=1269637.892952, norm of subgrad 1127.312243 dualbound = 3449610.892952, lowerbound=1269637.892952, norm of subgrad 35.525194 stepsize= 1.000000
+dualbound = 3449711.075557, lowerbound=1276306.075557, norm of subgrad 1130.271682 dualbound = 3449711.075557, lowerbound=1276306.075557, norm of subgrad 36.168807 stepsize= 1.000000
+dualbound = 3449770.187354, lowerbound=1269876.187354, norm of subgrad 1127.414381 dualbound = 3449770.187354, lowerbound=1269876.187354, norm of subgrad 35.300309 stepsize= 1.000000
+dualbound = 3449858.241320, lowerbound=1275343.241320, norm of subgrad 1129.818234 dualbound = 3449858.241320, lowerbound=1275343.241320, norm of subgrad 35.129104 stepsize= 1.000000
+dualbound = 3449947.281704, lowerbound=1274637.281704, norm of subgrad 1129.546494 dualbound = 3449947.281704, lowerbound=1274637.281704, norm of subgrad 36.428565 stepsize= 1.000000
+dualbound = 3449986.297124, lowerbound=1274261.297124, norm of subgrad 1129.385805 dualbound = 3449986.297124, lowerbound=1274261.297124, norm of subgrad 35.916785 stepsize= 1.000000
+dualbound = 3450084.753223, lowerbound=1270486.753223, norm of subgrad 1127.717940 dualbound = 3450084.753223, lowerbound=1270486.753223, norm of subgrad 36.870803 stepsize= 1.000000
+dualbound = 3450169.396027, lowerbound=1270844.396027, norm of subgrad 1127.843250 dualbound = 3450169.396027, lowerbound=1270844.396027, norm of subgrad 35.646077 stepsize= 1.000000
+dualbound = 3450282.013206, lowerbound=1266115.013206, norm of subgrad 1125.739318 dualbound = 3450282.013206, lowerbound=1266115.013206, norm of subgrad 35.869446 stepsize= 1.000000
+dualbound = 3450328.475390, lowerbound=1275754.475390, norm of subgrad 1130.044457 dualbound = 3450328.475390, lowerbound=1275754.475390, norm of subgrad 35.950830 stepsize= 1.000000
+dualbound = 3450412.244464, lowerbound=1262126.244464, norm of subgrad 1124.000109 dualbound = 3450412.244464, lowerbound=1262126.244464, norm of subgrad 36.520803 stepsize= 1.000000
+dualbound = 3450474.114326, lowerbound=1275544.114326, norm of subgrad 1129.932349 dualbound = 3450474.114326, lowerbound=1275544.114326, norm of subgrad 35.565009 stepsize= 1.000000
+dualbound = 3450565.464830, lowerbound=1269338.464830, norm of subgrad 1127.200721 dualbound = 3450565.464830, lowerbound=1269338.464830, norm of subgrad 36.528763 stepsize= 1.000000
+dualbound = 3450640.010366, lowerbound=1274116.010366, norm of subgrad 1129.303772 dualbound = 3450640.010366, lowerbound=1274116.010366, norm of subgrad 35.854505 stepsize= 1.000000
+dualbound = 3450727.865263, lowerbound=1269055.865263, norm of subgrad 1127.056283 dualbound = 3450727.865263, lowerbound=1269055.865263, norm of subgrad 35.886695 stepsize= 1.000000
+dualbound = 3450791.891728, lowerbound=1270246.891728, norm of subgrad 1127.588973 dualbound = 3450791.891728, lowerbound=1270246.891728, norm of subgrad 35.693507 stepsize= 1.000000
+dualbound = 3450891.969923, lowerbound=1275842.969923, norm of subgrad 1130.052640 dualbound = 3450891.969923, lowerbound=1275842.969923, norm of subgrad 35.722237 stepsize= 1.000000
+dualbound = 3450975.555312, lowerbound=1274391.555312, norm of subgrad 1129.387690 dualbound = 3450975.555312, lowerbound=1274391.555312, norm of subgrad 34.764715 stepsize= 1.000000
+dualbound = 3451094.487810, lowerbound=1268962.487811, norm of subgrad 1126.966498 dualbound = 3451094.487810, lowerbound=1268962.487811, norm of subgrad 34.784084 stepsize= 1.000000
+dualbound = 3451157.676829, lowerbound=1271179.676829, norm of subgrad 1127.987445 dualbound = 3451157.676829, lowerbound=1271179.676829, norm of subgrad 35.202117 stepsize= 1.000000
+dualbound = 3451214.240047, lowerbound=1272723.240047, norm of subgrad 1128.675879 dualbound = 3451214.240047, lowerbound=1272723.240047, norm of subgrad 35.250010 stepsize= 1.000000
+dualbound = 3451308.001173, lowerbound=1273391.001173, norm of subgrad 1128.971656 dualbound = 3451308.001173, lowerbound=1273391.001173, norm of subgrad 35.773749 stepsize= 1.000000
+dualbound = 3451399.270998, lowerbound=1276576.270998, norm of subgrad 1130.386337 dualbound = 3451399.270998, lowerbound=1276576.270998, norm of subgrad 35.892476 stepsize= 1.000000
+dualbound = 3451436.496900, lowerbound=1268988.496900, norm of subgrad 1127.046360 dualbound = 3451436.496900, lowerbound=1268988.496900, norm of subgrad 35.808182 stepsize= 1.000000
+dualbound = 3451519.009162, lowerbound=1273410.009162, norm of subgrad 1129.043847 dualbound = 3451519.009162, lowerbound=1273410.009162, norm of subgrad 37.583404 stepsize= 1.000000
+dualbound = 3451595.489855, lowerbound=1271205.489855, norm of subgrad 1128.015288 dualbound = 3451595.489855, lowerbound=1271205.489855, norm of subgrad 35.909340 stepsize= 1.000000
+dualbound = 3451699.955743, lowerbound=1270941.955743, norm of subgrad 1127.909551 dualbound = 3451699.955743, lowerbound=1270941.955743, norm of subgrad 36.639676 stepsize= 1.000000
+dualbound = 3451753.983582, lowerbound=1273151.983582, norm of subgrad 1128.866238 dualbound = 3451753.983582, lowerbound=1273151.983582, norm of subgrad 35.228225 stepsize= 1.000000
+dualbound = 3451861.338080, lowerbound=1272633.338080, norm of subgrad 1128.666177 dualbound = 3451861.338080, lowerbound=1272633.338080, norm of subgrad 36.896538 stepsize= 1.000000
+dualbound = 3451907.235842, lowerbound=1272945.235842, norm of subgrad 1128.783077 dualbound = 3451907.235842, lowerbound=1272945.235842, norm of subgrad 35.382167 stepsize= 1.000000
+dualbound = 3452000.890079, lowerbound=1269566.890079, norm of subgrad 1127.313129 dualbound = 3452000.890079, lowerbound=1269566.890079, norm of subgrad 36.900599 stepsize= 1.000000
+dualbound = 3452058.108473, lowerbound=1272632.108473, norm of subgrad 1128.657215 dualbound = 3452058.108473, lowerbound=1272632.108473, norm of subgrad 35.947439 stepsize= 1.000000
+dualbound = 3452152.307269, lowerbound=1271636.307269, norm of subgrad 1128.224848 dualbound = 3452152.307269, lowerbound=1271636.307269, norm of subgrad 36.731442 stepsize= 1.000000
+dualbound = 3452226.670297, lowerbound=1271434.670297, norm of subgrad 1128.107561 dualbound = 3452226.670297, lowerbound=1271434.670297, norm of subgrad 35.585995 stepsize= 1.000000
+dualbound = 3452321.706531, lowerbound=1274996.706531, norm of subgrad 1129.678585 dualbound = 3452321.706531, lowerbound=1274996.706531, norm of subgrad 35.665617 stepsize= 1.000000
+dualbound = 3452380.133618, lowerbound=1267982.133618, norm of subgrad 1126.577620 dualbound = 3452380.133618, lowerbound=1267982.133618, norm of subgrad 35.403772 stepsize= 1.000000
+dualbound = 3452482.889292, lowerbound=1271377.889292, norm of subgrad 1128.101010 dualbound = 3452482.889292, lowerbound=1271377.889292, norm of subgrad 36.561669 stepsize= 1.000000
+dualbound = 3452540.614439, lowerbound=1271841.614439, norm of subgrad 1128.302537 dualbound = 3452540.614439, lowerbound=1271841.614439, norm of subgrad 35.815152 stepsize= 1.000000
+dualbound = 3452636.625197, lowerbound=1270312.625197, norm of subgrad 1127.617677 dualbound = 3452636.625197, lowerbound=1270312.625197, norm of subgrad 36.124933 stepsize= 1.000000
+dualbound = 3452725.196839, lowerbound=1274505.196839, norm of subgrad 1129.470760 dualbound = 3452725.196839, lowerbound=1274505.196839, norm of subgrad 35.882749 stepsize= 1.000000
+dualbound = 3452801.329088, lowerbound=1272231.329088, norm of subgrad 1128.464146 dualbound = 3452801.329088, lowerbound=1272231.329088, norm of subgrad 35.722993 stepsize= 1.000000
+dualbound = 3452880.071410, lowerbound=1272975.071410, norm of subgrad 1128.798065 dualbound = 3452880.071410, lowerbound=1272975.071410, norm of subgrad 35.899057 stepsize= 1.000000
+dualbound = 3452957.370524, lowerbound=1266072.370524, norm of subgrad 1125.727929 dualbound = 3452957.370524, lowerbound=1266072.370524, norm of subgrad 35.613187 stepsize= 1.000000
+dualbound = 3453041.846260, lowerbound=1272662.846260, norm of subgrad 1128.653555 dualbound = 3453041.846260, lowerbound=1272662.846260, norm of subgrad 35.783736 stepsize= 1.000000
+dualbound = 3453121.000833, lowerbound=1273650.000833, norm of subgrad 1129.091671 dualbound = 3453121.000833, lowerbound=1273650.000833, norm of subgrad 35.737299 stepsize= 1.000000
+dualbound = 3453184.019258, lowerbound=1272365.019258, norm of subgrad 1128.493695 dualbound = 3453184.019258, lowerbound=1272365.019258, norm of subgrad 34.583499 stepsize= 1.000000
+dualbound = 3453284.093661, lowerbound=1274181.093661, norm of subgrad 1129.321076 dualbound = 3453284.093661, lowerbound=1274181.093661, norm of subgrad 35.847934 stepsize= 1.000000
+dualbound = 3453362.067471, lowerbound=1272386.067472, norm of subgrad 1128.513211 dualbound = 3453362.067471, lowerbound=1272386.067472, norm of subgrad 35.127963 stepsize= 1.000000
+dualbound = 3453449.317328, lowerbound=1269976.317329, norm of subgrad 1127.451248 dualbound = 3453449.317328, lowerbound=1269976.317329, norm of subgrad 35.457719 stepsize= 1.000000
+dualbound = 3453519.803347, lowerbound=1274075.803347, norm of subgrad 1129.261619 dualbound = 3453519.803347, lowerbound=1274075.803347, norm of subgrad 35.021222 stepsize= 1.000000
+dualbound = 3453619.436902, lowerbound=1271020.436902, norm of subgrad 1127.926610 dualbound = 3453619.436902, lowerbound=1271020.436902, norm of subgrad 36.022681 stepsize= 1.000000
+dualbound = 3453660.881782, lowerbound=1276504.881782, norm of subgrad 1130.363606 dualbound = 3453660.881782, lowerbound=1276504.881782, norm of subgrad 35.474567 stepsize= 1.000000
+dualbound = 3453751.502471, lowerbound=1271546.502471, norm of subgrad 1128.152251 dualbound = 3453751.502471, lowerbound=1271546.502471, norm of subgrad 35.659791 stepsize= 1.000000
+dualbound = 3453813.697007, lowerbound=1271672.697007, norm of subgrad 1128.229895 dualbound = 3453813.697007, lowerbound=1271672.697007, norm of subgrad 35.947107 stepsize= 1.000000
+dualbound = 3453887.155949, lowerbound=1267729.155949, norm of subgrad 1126.480872 dualbound = 3453887.155949, lowerbound=1267729.155949, norm of subgrad 36.103448 stepsize= 1.000000
+dualbound = 3453960.198154, lowerbound=1275659.198154, norm of subgrad 1130.046104 dualbound = 3453960.198154, lowerbound=1275659.198154, norm of subgrad 37.656901 stepsize= 1.000000
+dualbound = 3454010.144798, lowerbound=1269607.144798, norm of subgrad 1127.356263 dualbound = 3454010.144798, lowerbound=1269607.144798, norm of subgrad 37.080273 stepsize= 1.000000
+dualbound = 3454085.497670, lowerbound=1271517.497670, norm of subgrad 1128.191694 dualbound = 3454085.497670, lowerbound=1271517.497670, norm of subgrad 37.072266 stepsize= 1.000000
+dualbound = 3454192.769382, lowerbound=1271516.769382, norm of subgrad 1128.178962 dualbound = 3454192.769382, lowerbound=1271516.769382, norm of subgrad 37.125082 stepsize= 1.000000
+dualbound = 3454286.069192, lowerbound=1276869.069192, norm of subgrad 1130.529553 dualbound = 3454286.069192, lowerbound=1276869.069192, norm of subgrad 36.349688 stepsize= 1.000000
+dualbound = 3454385.655674, lowerbound=1267472.655674, norm of subgrad 1126.314190 dualbound = 3454385.655674, lowerbound=1267472.655674, norm of subgrad 34.793483 stepsize= 1.000000
+dualbound = 3454464.496101, lowerbound=1272393.496101, norm of subgrad 1128.516059 dualbound = 3454464.496101, lowerbound=1272393.496101, norm of subgrad 35.126065 stepsize= 1.000000
+dualbound = 3454549.920983, lowerbound=1266756.920983, norm of subgrad 1126.015951 dualbound = 3454549.920983, lowerbound=1266756.920983, norm of subgrad 35.219666 stepsize= 1.000000
+dualbound = 3454621.758648, lowerbound=1272567.758648, norm of subgrad 1128.614088 dualbound = 3454621.758648, lowerbound=1272567.758648, norm of subgrad 35.690862 stepsize= 1.000000
+dualbound = 3454702.789299, lowerbound=1276598.789299, norm of subgrad 1130.369758 dualbound = 3454702.789299, lowerbound=1276598.789299, norm of subgrad 34.900296 stepsize= 1.000000
+dualbound = 3454798.112187, lowerbound=1274492.112187, norm of subgrad 1129.444603 dualbound = 3454798.112187, lowerbound=1274492.112187, norm of subgrad 35.331613 stepsize= 1.000000
+dualbound = 3454848.660940, lowerbound=1270314.660940, norm of subgrad 1127.609711 dualbound = 3454848.660940, lowerbound=1270314.660940, norm of subgrad 35.207226 stepsize= 1.000000
+dualbound = 3454919.976275, lowerbound=1273828.976275, norm of subgrad 1129.176681 dualbound = 3454919.976275, lowerbound=1273828.976275, norm of subgrad 35.809431 stepsize= 1.000000
+dualbound = 3455013.601374, lowerbound=1271448.601374, norm of subgrad 1128.108417 dualbound = 3455013.601374, lowerbound=1271448.601374, norm of subgrad 35.687884 stepsize= 1.000000
+dualbound = 3455113.535531, lowerbound=1274718.535531, norm of subgrad 1129.530670 dualbound = 3455113.535531, lowerbound=1274718.535531, norm of subgrad 34.941868 stepsize= 1.000000
+dualbound = 3455179.036811, lowerbound=1272699.036811, norm of subgrad 1128.657626 dualbound = 3455179.036811, lowerbound=1272699.036811, norm of subgrad 35.135470 stepsize= 1.000000
+dualbound = 3455244.797514, lowerbound=1274881.797514, norm of subgrad 1129.664020 dualbound = 3455244.797514, lowerbound=1274881.797514, norm of subgrad 36.397262 stepsize= 1.000000
+dualbound = 3455298.782044, lowerbound=1266847.782044, norm of subgrad 1126.103362 dualbound = 3455298.782044, lowerbound=1266847.782044, norm of subgrad 36.262715 stepsize= 1.000000
+dualbound = 3455384.681972, lowerbound=1274611.681972, norm of subgrad 1129.529407 dualbound = 3455384.681972, lowerbound=1274611.681972, norm of subgrad 36.206352 stepsize= 1.000000
+dualbound = 3455478.019492, lowerbound=1261147.019492, norm of subgrad 1123.547960 dualbound = 3455478.019492, lowerbound=1261147.019492, norm of subgrad 36.143292 stepsize= 1.000000
+dualbound = 3455560.859123, lowerbound=1272453.859123, norm of subgrad 1128.550335 dualbound = 3455560.859123, lowerbound=1272453.859123, norm of subgrad 35.423716 stepsize= 1.000000
+dualbound = 3455660.086570, lowerbound=1269285.086570, norm of subgrad 1127.177487 dualbound = 3455660.086570, lowerbound=1269285.086570, norm of subgrad 36.650067 stepsize= 1.000000
+dualbound = 3455694.449489, lowerbound=1274272.449489, norm of subgrad 1129.373919 dualbound = 3455694.449489, lowerbound=1274272.449489, norm of subgrad 35.318025 stepsize= 1.000000
+dualbound = 3455812.724886, lowerbound=1270833.724886, norm of subgrad 1127.838076 dualbound = 3455812.724886, lowerbound=1270833.724886, norm of subgrad 36.100906 stepsize= 1.000000
+dualbound = 3455899.588453, lowerbound=1274610.588453, norm of subgrad 1129.492624 dualbound = 3455899.588453, lowerbound=1274610.588453, norm of subgrad 35.069411 stepsize= 1.000000
+dualbound = 3455958.639174, lowerbound=1273050.639174, norm of subgrad 1128.857670 dualbound = 3455958.639174, lowerbound=1273050.639174, norm of subgrad 36.442430 stepsize= 1.000000
+dualbound = 3456001.518216, lowerbound=1277123.518216, norm of subgrad 1130.664193 dualbound = 3456001.518216, lowerbound=1277123.518216, norm of subgrad 36.343900 stepsize= 1.000000
+dualbound = 3456112.698074, lowerbound=1269912.698074, norm of subgrad 1127.427469 dualbound = 3456112.698074, lowerbound=1269912.698074, norm of subgrad 35.932991 stepsize= 1.000000
+dualbound = 3456197.703603, lowerbound=1276964.703603, norm of subgrad 1130.557696 dualbound = 3456197.703603, lowerbound=1276964.703603, norm of subgrad 35.791138 stepsize= 1.000000
+dualbound = 3456286.929219, lowerbound=1271773.929219, norm of subgrad 1128.248168 dualbound = 3456286.929219, lowerbound=1271773.929219, norm of subgrad 35.485569 stepsize= 1.000000
+dualbound = 3456355.736014, lowerbound=1275351.736014, norm of subgrad 1129.846333 dualbound = 3456355.736014, lowerbound=1275351.736014, norm of subgrad 35.634349 stepsize= 1.000000
+dualbound = 3456434.782034, lowerbound=1270665.782034, norm of subgrad 1127.776034 dualbound = 3456434.782034, lowerbound=1270665.782034, norm of subgrad 35.945042 stepsize= 1.000000
+dualbound = 3456525.246202, lowerbound=1271361.246202, norm of subgrad 1128.036899 dualbound = 3456525.246202, lowerbound=1271361.246202, norm of subgrad 34.589943 stepsize= 1.000000
+dualbound = 3456599.085903, lowerbound=1273533.085903, norm of subgrad 1129.061152 dualbound = 3456599.085903, lowerbound=1273533.085903, norm of subgrad 36.329598 stepsize= 1.000000
+dualbound = 3456679.569999, lowerbound=1268270.569999, norm of subgrad 1126.663468 dualbound = 3456679.569999, lowerbound=1268270.569999, norm of subgrad 34.358174 stepsize= 1.000000
+dualbound = 3456769.746553, lowerbound=1271472.746553, norm of subgrad 1128.104050 dualbound = 3456769.746553, lowerbound=1271472.746553, norm of subgrad 35.159303 stepsize= 1.000000
+dualbound = 3456831.833278, lowerbound=1270877.833278, norm of subgrad 1127.840784 dualbound = 3456831.833278, lowerbound=1270877.833278, norm of subgrad 34.771924 stepsize= 1.000000
+dualbound = 3456916.346833, lowerbound=1274919.346833, norm of subgrad 1129.656738 dualbound = 3456916.346833, lowerbound=1274919.346833, norm of subgrad 35.909797 stepsize= 1.000000
+dualbound = 3456962.781868, lowerbound=1272349.781868, norm of subgrad 1128.529478 dualbound = 3456962.781868, lowerbound=1272349.781868, norm of subgrad 35.713233 stepsize= 1.000000
+dualbound = 3457074.803642, lowerbound=1271678.803642, norm of subgrad 1128.186068 dualbound = 3457074.803642, lowerbound=1271678.803642, norm of subgrad 35.171320 stepsize= 1.000000
+dualbound = 3457155.687251, lowerbound=1268826.687251, norm of subgrad 1126.937748 dualbound = 3457155.687251, lowerbound=1268826.687251, norm of subgrad 35.254554 stepsize= 1.000000
+dualbound = 3457237.079832, lowerbound=1272748.079832, norm of subgrad 1128.675808 dualbound = 3457237.079832, lowerbound=1272748.079832, norm of subgrad 35.247590 stepsize= 1.000000
+dualbound = 3457311.168954, lowerbound=1270063.168954, norm of subgrad 1127.497303 dualbound = 3457311.168954, lowerbound=1270063.168954, norm of subgrad 35.511817 stepsize= 1.000000
+dualbound = 3457390.222390, lowerbound=1271455.222390, norm of subgrad 1128.151241 dualbound = 3457390.222390, lowerbound=1271455.222390, norm of subgrad 36.729463 stepsize= 1.000000
+dualbound = 3457441.631705, lowerbound=1268019.631705, norm of subgrad 1126.636424 dualbound = 3457441.631705, lowerbound=1268019.631705, norm of subgrad 36.625255 stepsize= 1.000000
+dualbound = 3457534.817142, lowerbound=1274034.817142, norm of subgrad 1129.260739 dualbound = 3457534.817142, lowerbound=1274034.817142, norm of subgrad 35.891300 stepsize= 1.000000
+dualbound = 3457623.177236, lowerbound=1272590.177236, norm of subgrad 1128.679395 dualbound = 3457623.177236, lowerbound=1272590.177236, norm of subgrad 37.621272 stepsize= 1.000000
+dualbound = 3457679.839044, lowerbound=1277189.839044, norm of subgrad 1130.691310 dualbound = 3457679.839044, lowerbound=1277189.839044, norm of subgrad 36.464528 stepsize= 1.000000
+dualbound = 3457752.459456, lowerbound=1266764.459456, norm of subgrad 1126.058373 dualbound = 3457752.459456, lowerbound=1266764.459456, norm of subgrad 36.271482 stepsize= 1.000000
+dualbound = 3457849.701900, lowerbound=1274300.701900, norm of subgrad 1129.389969 dualbound = 3457849.701900, lowerbound=1274300.701900, norm of subgrad 36.307609 stepsize= 1.000000
+dualbound = 3457933.125216, lowerbound=1275427.125216, norm of subgrad 1129.891201 dualbound = 3457933.125216, lowerbound=1275427.125216, norm of subgrad 36.199770 stepsize= 1.000000
+dualbound = 3458035.303231, lowerbound=1276572.303231, norm of subgrad 1130.398736 dualbound = 3458035.303231, lowerbound=1276572.303231, norm of subgrad 36.485312 stepsize= 1.000000
+dualbound = 3458093.160417, lowerbound=1275493.160417, norm of subgrad 1129.944317 dualbound = 3458093.160417, lowerbound=1275493.160417, norm of subgrad 36.590397 stepsize= 1.000000
+dualbound = 3458163.031997, lowerbound=1273783.031997, norm of subgrad 1129.162536 dualbound = 3458163.031997, lowerbound=1273783.031997, norm of subgrad 35.984324 stepsize= 1.000000
+dualbound = 3458252.432581, lowerbound=1267659.432581, norm of subgrad 1126.428175 dualbound = 3458252.432581, lowerbound=1267659.432581, norm of subgrad 35.642679 stepsize= 1.000000
+dualbound = 3458345.894556, lowerbound=1276728.894556, norm of subgrad 1130.427306 dualbound = 3458345.894556, lowerbound=1276728.894556, norm of subgrad 35.077941 stepsize= 1.000000
+dualbound = 3458451.213050, lowerbound=1269041.213050, norm of subgrad 1127.047565 dualbound = 3458451.213050, lowerbound=1269041.213050, norm of subgrad 36.059929 stepsize= 1.000000
+dualbound = 3458495.614188, lowerbound=1273318.614188, norm of subgrad 1128.943583 dualbound = 3458495.614188, lowerbound=1273318.614188, norm of subgrad 35.205129 stepsize= 1.000000
+dualbound = 3458601.277023, lowerbound=1271810.277023, norm of subgrad 1128.266492 dualbound = 3458601.277023, lowerbound=1271810.277023, norm of subgrad 35.786350 stepsize= 1.000000
+dualbound = 3458648.428896, lowerbound=1272854.428896, norm of subgrad 1128.716275 dualbound = 3458648.428896, lowerbound=1272854.428896, norm of subgrad 34.542031 stepsize= 1.000000
+dualbound = 3458743.868220, lowerbound=1271853.868220, norm of subgrad 1128.278719 dualbound = 3458743.868220, lowerbound=1271853.868220, norm of subgrad 35.418065 stepsize= 1.000000
+dualbound = 3458836.743856, lowerbound=1264956.743856, norm of subgrad 1125.195869 dualbound = 3458836.743856, lowerbound=1264956.743856, norm of subgrad 34.668078 stepsize= 1.000000
+dualbound = 3458896.309978, lowerbound=1270133.309978, norm of subgrad 1127.512887 dualbound = 3458896.309978, lowerbound=1270133.309978, norm of subgrad 34.807558 stepsize= 1.000000
+dualbound = 3458980.503775, lowerbound=1276691.503775, norm of subgrad 1130.426249 dualbound = 3458980.503775, lowerbound=1276691.503775, norm of subgrad 35.442824 stepsize= 1.000000
+dualbound = 3459039.184191, lowerbound=1275867.184191, norm of subgrad 1130.091228 dualbound = 3459039.184191, lowerbound=1275867.184191, norm of subgrad 36.023332 stepsize= 1.000000
+dualbound = 3459121.261352, lowerbound=1273611.261352, norm of subgrad 1129.090015 dualbound = 3459121.261352, lowerbound=1273611.261352, norm of subgrad 36.263993 stepsize= 1.000000
+dualbound = 3459182.171123, lowerbound=1273887.171123, norm of subgrad 1129.200235 dualbound = 3459182.171123, lowerbound=1273887.171123, norm of subgrad 35.593676 stepsize= 1.000000
+dualbound = 3459285.731606, lowerbound=1269707.731606, norm of subgrad 1127.326364 dualbound = 3459285.731606, lowerbound=1269707.731606, norm of subgrad 35.504373 stepsize= 1.000000
+dualbound = 3459383.822005, lowerbound=1271853.822005, norm of subgrad 1128.308833 dualbound = 3459383.822005, lowerbound=1271853.822005, norm of subgrad 36.401791 stepsize= 1.000000
+dualbound = 3459427.224580, lowerbound=1270006.224580, norm of subgrad 1127.476042 dualbound = 3459427.224580, lowerbound=1270006.224580, norm of subgrad 35.205150 stepsize= 1.000000
+dualbound = 3459514.710570, lowerbound=1270922.710570, norm of subgrad 1127.901906 dualbound = 3459514.710570, lowerbound=1270922.710570, norm of subgrad 36.434681 stepsize= 1.000000
+dualbound = 3459594.017429, lowerbound=1272297.017429, norm of subgrad 1128.479959 dualbound = 3459594.017429, lowerbound=1272297.017429, norm of subgrad 35.345535 stepsize= 1.000000
+dualbound = 3459683.028993, lowerbound=1271631.028993, norm of subgrad 1128.227384 dualbound = 3459683.028993, lowerbound=1271631.028993, norm of subgrad 36.810482 stepsize= 1.000000
+dualbound = 3459769.296638, lowerbound=1276391.296638, norm of subgrad 1130.305400 dualbound = 3459769.296638, lowerbound=1276391.296638, norm of subgrad 35.850630 stepsize= 1.000000
+dualbound = 3459844.885235, lowerbound=1268496.885235, norm of subgrad 1126.831347 dualbound = 3459844.885235, lowerbound=1268496.885235, norm of subgrad 36.436089 stepsize= 1.000000
+dualbound = 3459924.117827, lowerbound=1274155.117827, norm of subgrad 1129.334369 dualbound = 3459924.117827, lowerbound=1274155.117827, norm of subgrad 36.335005 stepsize= 1.000000
+dualbound = 3459982.603994, lowerbound=1272388.603994, norm of subgrad 1128.551994 dualbound = 3459982.603994, lowerbound=1272388.603994, norm of subgrad 36.048386 stepsize= 1.000000
+dualbound = 3460076.133827, lowerbound=1271772.133827, norm of subgrad 1128.231862 dualbound = 3460076.133827, lowerbound=1271772.133827, norm of subgrad 35.050390 stepsize= 1.000000
+dualbound = 3460177.666015, lowerbound=1270840.666015, norm of subgrad 1127.824750 dualbound = 3460177.666015, lowerbound=1270840.666015, norm of subgrad 35.348723 stepsize= 1.000000
+dualbound = 3460239.013055, lowerbound=1276710.013055, norm of subgrad 1130.449474 dualbound = 3460239.013055, lowerbound=1276710.013055, norm of subgrad 35.599818 stepsize= 1.000000
+dualbound = 3460314.762966, lowerbound=1272212.762966, norm of subgrad 1128.441741 dualbound = 3460314.762966, lowerbound=1272212.762966, norm of subgrad 35.266839 stepsize= 1.000000
+dualbound = 3460399.362115, lowerbound=1269736.362115, norm of subgrad 1127.363456 dualbound = 3460399.362115, lowerbound=1269736.362115, norm of subgrad 36.008321 stepsize= 1.000000
+dualbound = 3460432.461096, lowerbound=1270289.461096, norm of subgrad 1127.626029 dualbound = 3460432.461096, lowerbound=1270289.461096, norm of subgrad 35.834327 stepsize= 1.000000
+dualbound = 3460529.963671, lowerbound=1275362.963671, norm of subgrad 1129.851744 dualbound = 3460529.963671, lowerbound=1275362.963671, norm of subgrad 36.048614 stepsize= 1.000000
+dualbound = 3460616.013315, lowerbound=1269924.013315, norm of subgrad 1127.437809 dualbound = 3460616.013315, lowerbound=1269924.013315, norm of subgrad 35.749820 stepsize= 1.000000
+dualbound = 3460695.271040, lowerbound=1266543.271040, norm of subgrad 1125.956159 dualbound = 3460695.271040, lowerbound=1266543.271040, norm of subgrad 36.238898 stepsize= 1.000000
+dualbound = 3460770.096259, lowerbound=1274682.096259, norm of subgrad 1129.567659 dualbound = 3460770.096259, lowerbound=1274682.096259, norm of subgrad 36.274305 stepsize= 1.000000
+dualbound = 3460844.303490, lowerbound=1270197.303490, norm of subgrad 1127.578957 dualbound = 3460844.303490, lowerbound=1270197.303490, norm of subgrad 36.210596 stepsize= 1.000000
+dualbound = 3460931.549717, lowerbound=1275229.549717, norm of subgrad 1129.807306 dualbound = 3460931.549717, lowerbound=1275229.549717, norm of subgrad 36.362704 stepsize= 1.000000
+dualbound = 3461001.471457, lowerbound=1272276.471457, norm of subgrad 1128.480603 dualbound = 3461001.471457, lowerbound=1272276.471457, norm of subgrad 35.523538 stepsize= 1.000000
+dualbound = 3461095.787010, lowerbound=1270399.787010, norm of subgrad 1127.660759 dualbound = 3461095.787010, lowerbound=1270399.787010, norm of subgrad 36.239696 stepsize= 1.000000
+dualbound = 3461164.225379, lowerbound=1273914.225379, norm of subgrad 1129.228155 dualbound = 3461164.225379, lowerbound=1273914.225379, norm of subgrad 36.199977 stepsize= 1.000000
+dualbound = 3461228.024401, lowerbound=1271949.024401, norm of subgrad 1128.379380 dualbound = 3461228.024401, lowerbound=1271949.024401, norm of subgrad 36.807595 stepsize= 1.000000
+dualbound = 3461319.781850, lowerbound=1272653.781850, norm of subgrad 1128.659285 dualbound = 3461319.781850, lowerbound=1272653.781850, norm of subgrad 36.190571 stepsize= 1.000000
+dualbound = 3461421.875695, lowerbound=1275242.875695, norm of subgrad 1129.769390 dualbound = 3461421.875695, lowerbound=1275242.875695, norm of subgrad 35.186558 stepsize= 1.000000
+dualbound = 3461481.844576, lowerbound=1273679.844576, norm of subgrad 1129.148726 dualbound = 3461481.844576, lowerbound=1273679.844576, norm of subgrad 36.837059 stepsize= 1.000000
+dualbound = 3461519.281854, lowerbound=1269060.281854, norm of subgrad 1127.101274 dualbound = 3461519.281854, lowerbound=1269060.281854, norm of subgrad 36.529950 stepsize= 1.000000
+dualbound = 3461612.612287, lowerbound=1273888.612287, norm of subgrad 1129.235853 dualbound = 3461612.612287, lowerbound=1273888.612287, norm of subgrad 37.125873 stepsize= 1.000000
+dualbound = 3461701.712438, lowerbound=1269086.712438, norm of subgrad 1127.083720 dualbound = 3461701.712438, lowerbound=1269086.712438, norm of subgrad 36.333183 stepsize= 1.000000
+dualbound = 3461803.216859, lowerbound=1266820.216859, norm of subgrad 1126.046721 dualbound = 3461803.216859, lowerbound=1266820.216859, norm of subgrad 35.531738 stepsize= 1.000000
+dualbound = 3461883.443820, lowerbound=1280152.443820, norm of subgrad 1131.945424 dualbound = 3461883.443820, lowerbound=1280152.443820, norm of subgrad 35.046069 stepsize= 1.000000
+dualbound = 3461975.041128, lowerbound=1270647.041128, norm of subgrad 1127.741567 dualbound = 3461975.041128, lowerbound=1270647.041128, norm of subgrad 35.293021 stepsize= 1.000000
+dualbound = 3462041.391206, lowerbound=1274161.391206, norm of subgrad 1129.295529 dualbound = 3462041.391206, lowerbound=1274161.391206, norm of subgrad 34.833175 stepsize= 1.000000
+dualbound = 3462105.454827, lowerbound=1265346.454827, norm of subgrad 1125.403241 dualbound = 3462105.454827, lowerbound=1265346.454827, norm of subgrad 35.356239 stepsize= 1.000000
+dualbound = 3462205.223725, lowerbound=1276969.223725, norm of subgrad 1130.534486 dualbound = 3462205.223725, lowerbound=1276969.223725, norm of subgrad 35.196149 stepsize= 1.000000
+dualbound = 3462293.304156, lowerbound=1269723.304156, norm of subgrad 1127.343029 dualbound = 3462293.304156, lowerbound=1269723.304156, norm of subgrad 35.596073 stepsize= 1.000000
+dualbound = 3462340.565403, lowerbound=1275461.565403, norm of subgrad 1129.909096 dualbound = 3462340.565403, lowerbound=1275461.565403, norm of subgrad 35.780738 stepsize= 1.000000
+dualbound = 3462431.801392, lowerbound=1275187.801392, norm of subgrad 1129.799009 dualbound = 3462431.801392, lowerbound=1275187.801392, norm of subgrad 36.731948 stepsize= 1.000000
+dualbound = 3462502.930110, lowerbound=1274411.930110, norm of subgrad 1129.432127 dualbound = 3462502.930110, lowerbound=1274411.930110, norm of subgrad 35.722944 stepsize= 1.000000
+dualbound = 3462592.002826, lowerbound=1274728.002826, norm of subgrad 1129.538845 dualbound = 3462592.002826, lowerbound=1274728.002826, norm of subgrad 34.915222 stepsize= 1.000000
+dualbound = 3462682.532353, lowerbound=1272379.532353, norm of subgrad 1128.516518 dualbound = 3462682.532353, lowerbound=1272379.532353, norm of subgrad 35.503937 stepsize= 1.000000
+dualbound = 3462755.329631, lowerbound=1273716.329631, norm of subgrad 1129.120157 dualbound = 3462755.329631, lowerbound=1273716.329631, norm of subgrad 35.620181 stepsize= 1.000000
+dualbound = 3462809.282312, lowerbound=1274701.282312, norm of subgrad 1129.588988 dualbound = 3462809.282312, lowerbound=1274701.282312, norm of subgrad 36.386161 stepsize= 1.000000
+dualbound = 3462887.183038, lowerbound=1266607.183038, norm of subgrad 1125.997417 dualbound = 3462887.183038, lowerbound=1266607.183038, norm of subgrad 36.618311 stepsize= 1.000000
+dualbound = 3462981.307546, lowerbound=1278600.307546, norm of subgrad 1131.288782 dualbound = 3462981.307546, lowerbound=1278600.307546, norm of subgrad 36.168004 stepsize= 1.000000
+dualbound = 3463069.726007, lowerbound=1268913.726007, norm of subgrad 1127.010970 dualbound = 3463069.726007, lowerbound=1268913.726007, norm of subgrad 36.447475 stepsize= 1.000000
+dualbound = 3463122.268796, lowerbound=1273084.268796, norm of subgrad 1128.865479 dualbound = 3463122.268796, lowerbound=1273084.268796, norm of subgrad 36.132296 stepsize= 1.000000
+dualbound = 3463209.681827, lowerbound=1275451.681827, norm of subgrad 1129.908705 dualbound = 3463209.681827, lowerbound=1275451.681827, norm of subgrad 36.461117 stepsize= 1.000000
+dualbound = 3463280.907191, lowerbound=1270024.907191, norm of subgrad 1127.476344 dualbound = 3463280.907191, lowerbound=1270024.907191, norm of subgrad 35.344382 stepsize= 1.000000
+dualbound = 3463377.304795, lowerbound=1273841.304795, norm of subgrad 1129.172398 dualbound = 3463377.304795, lowerbound=1273841.304795, norm of subgrad 35.852442 stepsize= 1.000000
+dualbound = 3463466.942328, lowerbound=1273934.942328, norm of subgrad 1129.228915 dualbound = 3463466.942328, lowerbound=1273934.942328, norm of subgrad 36.230340 stepsize= 1.000000
+dualbound = 3463519.486797, lowerbound=1268194.486797, norm of subgrad 1126.708253 dualbound = 3463519.486797, lowerbound=1268194.486797, norm of subgrad 36.462919 stepsize= 1.000000
+dualbound = 3463588.503184, lowerbound=1272666.503184, norm of subgrad 1128.679983 dualbound = 3463588.503184, lowerbound=1272666.503184, norm of subgrad 36.345789 stepsize= 1.000000
+dualbound = 3463705.092600, lowerbound=1269159.092600, norm of subgrad 1127.090100 dualbound = 3463705.092600, lowerbound=1269159.092600, norm of subgrad 35.910854 stepsize= 1.000000
+dualbound = 3463770.508764, lowerbound=1273145.508764, norm of subgrad 1128.882859 dualbound = 3463770.508764, lowerbound=1273145.508764, norm of subgrad 36.005780 stepsize= 1.000000
+dualbound = 3463838.248075, lowerbound=1268680.248075, norm of subgrad 1126.919806 dualbound = 3463838.248075, lowerbound=1268680.248075, norm of subgrad 36.547768 stepsize= 1.000000
+dualbound = 3463904.933098, lowerbound=1275343.933098, norm of subgrad 1129.863679 dualbound = 3463904.933098, lowerbound=1275343.933098, norm of subgrad 36.258586 stepsize= 1.000000
+dualbound = 3464000.264765, lowerbound=1272053.264765, norm of subgrad 1128.378600 dualbound = 3464000.264765, lowerbound=1272053.264765, norm of subgrad 35.781723 stepsize= 1.000000
+dualbound = 3464103.504187, lowerbound=1271501.504187, norm of subgrad 1128.129649 dualbound = 3464103.504187, lowerbound=1271501.504187, norm of subgrad 35.752474 stepsize= 1.000000
+dualbound = 3464175.260710, lowerbound=1270192.260710, norm of subgrad 1127.547454 dualbound = 3464175.260710, lowerbound=1270192.260710, norm of subgrad 35.252752 stepsize= 1.000000
+dualbound = 3464244.858067, lowerbound=1273866.858067, norm of subgrad 1129.180614 dualbound = 3464244.858067, lowerbound=1273866.858067, norm of subgrad 35.377922 stepsize= 1.000000
+dualbound = 3464335.227929, lowerbound=1272667.227929, norm of subgrad 1128.635117 dualbound = 3464335.227929, lowerbound=1272667.227929, norm of subgrad 35.218885 stepsize= 1.000000
+dualbound = 3464435.617650, lowerbound=1273009.617650, norm of subgrad 1128.826212 dualbound = 3464435.617650, lowerbound=1273009.617650, norm of subgrad 36.597674 stepsize= 1.000000
+dualbound = 3464459.074818, lowerbound=1273522.074818, norm of subgrad 1129.068676 dualbound = 3464459.074818, lowerbound=1273522.074818, norm of subgrad 36.020233 stepsize= 1.000000
+dualbound = 3464547.879920, lowerbound=1271916.879920, norm of subgrad 1128.337662 dualbound = 3464547.879920, lowerbound=1271916.879920, norm of subgrad 36.301585 stepsize= 1.000000
+dualbound = 3464655.490525, lowerbound=1269853.490525, norm of subgrad 1127.398106 dualbound = 3464655.490525, lowerbound=1269853.490525, norm of subgrad 35.785620 stepsize= 1.000000
+dualbound = 3464734.187121, lowerbound=1272605.187121, norm of subgrad 1128.621809 dualbound = 3464734.187121, lowerbound=1272605.187121, norm of subgrad 35.506290 stepsize= 1.000000
+dualbound = 3464817.657840, lowerbound=1276319.657840, norm of subgrad 1130.246724 dualbound = 3464817.657840, lowerbound=1276319.657840, norm of subgrad 34.949545 stepsize= 1.000000
+dualbound = 3464908.470334, lowerbound=1270833.470334, norm of subgrad 1127.818456 dualbound = 3464908.470334, lowerbound=1270833.470334, norm of subgrad 35.097186 stepsize= 1.000000
+dualbound = 3464973.942105, lowerbound=1273323.942105, norm of subgrad 1128.945500 dualbound = 3464973.942105, lowerbound=1273323.942105, norm of subgrad 35.489037 stepsize= 1.000000
+dualbound = 3465037.076600, lowerbound=1274915.076600, norm of subgrad 1129.632718 dualbound = 3465037.076600, lowerbound=1274915.076600, norm of subgrad 34.901784 stepsize= 1.000000
+dualbound = 3465121.154504, lowerbound=1272305.154504, norm of subgrad 1128.495970 dualbound = 3465121.154504, lowerbound=1272305.154504, norm of subgrad 35.806115 stepsize= 1.000000
+dualbound = 3465176.862506, lowerbound=1277325.862506, norm of subgrad 1130.740847 dualbound = 3465176.862506, lowerbound=1277325.862506, norm of subgrad 36.120742 stepsize= 1.000000
+dualbound = 3465265.297168, lowerbound=1273331.297168, norm of subgrad 1128.937685 dualbound = 3465265.297168, lowerbound=1273331.297168, norm of subgrad 35.460325 stepsize= 1.000000
+dualbound = 3465357.922484, lowerbound=1275809.922484, norm of subgrad 1130.012355 dualbound = 3465357.922484, lowerbound=1275809.922484, norm of subgrad 34.794041 stepsize= 1.000000
+dualbound = 3465453.164616, lowerbound=1272426.164616, norm of subgrad 1128.522115 dualbound = 3465453.164616, lowerbound=1272426.164616, norm of subgrad 35.089060 stepsize= 1.000000
+dualbound = 3465520.579600, lowerbound=1269283.579600, norm of subgrad 1127.129354 dualbound = 3465520.579600, lowerbound=1269283.579600, norm of subgrad 34.704682 stepsize= 1.000000
+dualbound = 3465615.817640, lowerbound=1271689.817640, norm of subgrad 1128.174994 dualbound = 3465615.817640, lowerbound=1271689.817640, norm of subgrad 34.412760 stepsize= 1.000000
+dualbound = 3465677.943201, lowerbound=1270531.943201, norm of subgrad 1127.708270 dualbound = 3465677.943201, lowerbound=1270531.943201, norm of subgrad 35.441862 stepsize= 1.000000
+dualbound = 3465760.636045, lowerbound=1276075.636045, norm of subgrad 1130.168410 dualbound = 3465760.636045, lowerbound=1276075.636045, norm of subgrad 35.884437 stepsize= 1.000000
+dualbound = 3465826.021591, lowerbound=1273410.021591, norm of subgrad 1128.976980 dualbound = 3465826.021591, lowerbound=1273410.021591, norm of subgrad 35.275849 stepsize= 1.000000
+dualbound = 3465916.968042, lowerbound=1278037.968042, norm of subgrad 1131.039331 dualbound = 3465916.968042, lowerbound=1278037.968042, norm of subgrad 36.096350 stepsize= 1.000000
+dualbound = 3465974.676531, lowerbound=1266762.676531, norm of subgrad 1126.068682 dualbound = 3465974.676531, lowerbound=1266762.676531, norm of subgrad 36.410280 stepsize= 1.000000
+dualbound = 3466041.593988, lowerbound=1272683.593988, norm of subgrad 1128.663632 dualbound = 3466041.593988, lowerbound=1272683.593988, norm of subgrad 35.565678 stepsize= 1.000000
+dualbound = 3466154.842153, lowerbound=1267752.842153, norm of subgrad 1126.470524 dualbound = 3466154.842153, lowerbound=1267752.842153, norm of subgrad 36.003447 stepsize= 1.000000
+dualbound = 3466220.019659, lowerbound=1271239.019659, norm of subgrad 1128.034139 dualbound = 3466220.019659, lowerbound=1271239.019659, norm of subgrad 35.877256 stepsize= 1.000000
+dualbound = 3466292.898044, lowerbound=1274580.898044, norm of subgrad 1129.510026 dualbound = 3466292.898044, lowerbound=1274580.898044, norm of subgrad 35.845200 stepsize= 1.000000
+dualbound = 3466372.357351, lowerbound=1276132.357351, norm of subgrad 1130.185984 dualbound = 3466372.357351, lowerbound=1276132.357351, norm of subgrad 35.601395 stepsize= 1.000000
+dualbound = 3466450.752924, lowerbound=1267510.752924, norm of subgrad 1126.355518 dualbound = 3466450.752924, lowerbound=1267510.752924, norm of subgrad 35.275991 stepsize= 1.000000
+dualbound = 3466542.276431, lowerbound=1276981.276431, norm of subgrad 1130.549546 dualbound = 3466542.276431, lowerbound=1276981.276431, norm of subgrad 35.391009 stepsize= 1.000000
+dualbound = 3466606.576325, lowerbound=1272237.576325, norm of subgrad 1128.470016 dualbound = 3466606.576325, lowerbound=1272237.576325, norm of subgrad 35.655293 stepsize= 1.000000
+dualbound = 3466674.226553, lowerbound=1274150.226553, norm of subgrad 1129.331761 dualbound = 3466674.226553, lowerbound=1274150.226553, norm of subgrad 36.161447 stepsize= 1.000000
+dualbound = 3466752.761990, lowerbound=1268243.761990, norm of subgrad 1126.694618 dualbound = 3466752.761990, lowerbound=1268243.761990, norm of subgrad 35.714639 stepsize= 1.000000
+dualbound = 3466859.730296, lowerbound=1275926.730296, norm of subgrad 1130.094567 dualbound = 3466859.730296, lowerbound=1275926.730296, norm of subgrad 35.971771 stepsize= 1.000000
+dualbound = 3466916.679801, lowerbound=1272928.679801, norm of subgrad 1128.781502 dualbound = 3466916.679801, lowerbound=1272928.679801, norm of subgrad 35.720435 stepsize= 1.000000
+dualbound = 3466994.400688, lowerbound=1273006.400688, norm of subgrad 1128.827888 dualbound = 3466994.400688, lowerbound=1273006.400688, norm of subgrad 36.382975 stepsize= 1.000000
+dualbound = 3467066.124920, lowerbound=1278502.124920, norm of subgrad 1131.236105 dualbound = 3467066.124920, lowerbound=1278502.124920, norm of subgrad 35.562962 stepsize= 1.000000
+dualbound = 3467154.386661, lowerbound=1274323.386661, norm of subgrad 1129.412850 dualbound = 3467154.386661, lowerbound=1274323.386661, norm of subgrad 36.582260 stepsize= 1.000000
+dualbound = 3467213.249527, lowerbound=1273053.249527, norm of subgrad 1128.864584 dualbound = 3467213.249527, lowerbound=1273053.249527, norm of subgrad 36.617794 stepsize= 1.000000
+dualbound = 3467293.744309, lowerbound=1272026.744309, norm of subgrad 1128.393435 dualbound = 3467293.744309, lowerbound=1272026.744309, norm of subgrad 36.407345 stepsize= 1.000000
+dualbound = 3467397.850215, lowerbound=1275031.850215, norm of subgrad 1129.710074 dualbound = 3467397.850215, lowerbound=1275031.850215, norm of subgrad 36.291954 stepsize= 1.000000
+dualbound = 3467453.614029, lowerbound=1271147.614029, norm of subgrad 1127.996283 dualbound = 3467453.614029, lowerbound=1271147.614029, norm of subgrad 35.829650 stepsize= 1.000000
+dualbound = 3467547.279979, lowerbound=1271639.279979, norm of subgrad 1128.205336 dualbound = 3467547.279979, lowerbound=1271639.279979, norm of subgrad 36.078608 stepsize= 1.000000
+dualbound = 3467621.075847, lowerbound=1270571.075847, norm of subgrad 1127.746016 dualbound = 3467621.075847, lowerbound=1270571.075847, norm of subgrad 36.246322 stepsize= 1.000000
+dualbound = 3467689.315250, lowerbound=1272460.315250, norm of subgrad 1128.568259 dualbound = 3467689.315250, lowerbound=1272460.315250, norm of subgrad 35.696490 stepsize= 1.000000
+dualbound = 3467784.775879, lowerbound=1272323.775879, norm of subgrad 1128.504221 dualbound = 3467784.775879, lowerbound=1272323.775879, norm of subgrad 35.964714 stepsize= 1.000000
+dualbound = 3467857.514777, lowerbound=1272794.514777, norm of subgrad 1128.706124 dualbound = 3467857.514777, lowerbound=1272794.514777, norm of subgrad 35.436406 stepsize= 1.000000
+dualbound = 3467926.078348, lowerbound=1269447.078348, norm of subgrad 1127.233817 dualbound = 3467926.078348, lowerbound=1269447.078348, norm of subgrad 35.743021 stepsize= 1.000000
+dualbound = 3468005.269324, lowerbound=1275325.269324, norm of subgrad 1129.847011 dualbound = 3468005.269324, lowerbound=1275325.269324, norm of subgrad 36.168923 stepsize= 1.000000
+dualbound = 3468074.474920, lowerbound=1268744.474920, norm of subgrad 1126.942534 dualbound = 3468074.474920, lowerbound=1268744.474920, norm of subgrad 36.389636 stepsize= 1.000000
+dualbound = 3468158.291241, lowerbound=1279263.291241, norm of subgrad 1131.586184 dualbound = 3468158.291241, lowerbound=1279263.291241, norm of subgrad 36.163743 stepsize= 1.000000
+dualbound = 3468219.718815, lowerbound=1272404.718815, norm of subgrad 1128.552931 dualbound = 3468219.718815, lowerbound=1272404.718815, norm of subgrad 35.894673 stepsize= 1.000000
+dualbound = 3468340.405202, lowerbound=1273663.405202, norm of subgrad 1129.098049 dualbound = 3468340.405202, lowerbound=1273663.405202, norm of subgrad 36.327488 stepsize= 1.000000
+dualbound = 3468392.923574, lowerbound=1269652.923574, norm of subgrad 1127.331328 dualbound = 3468392.923574, lowerbound=1269652.923574, norm of subgrad 35.714400 stepsize= 1.000000
+dualbound = 3468499.511308, lowerbound=1276465.511308, norm of subgrad 1130.340883 dualbound = 3468499.511308, lowerbound=1276465.511308, norm of subgrad 36.215849 stepsize= 1.000000
+dualbound = 3468532.837863, lowerbound=1270747.837863, norm of subgrad 1127.827929 dualbound = 3468532.837863, lowerbound=1270747.837863, norm of subgrad 35.795622 stepsize= 1.000000
+dualbound = 3468633.775843, lowerbound=1275394.775843, norm of subgrad 1129.856529 dualbound = 3468633.775843, lowerbound=1275394.775843, norm of subgrad 35.804161 stepsize= 1.000000
+dualbound = 3468732.879225, lowerbound=1274029.879225, norm of subgrad 1129.238628 dualbound = 3468732.879225, lowerbound=1274029.879225, norm of subgrad 35.342657 stepsize= 1.000000
+dualbound = 3468817.786099, lowerbound=1272957.786099, norm of subgrad 1128.774462 dualbound = 3468817.786099, lowerbound=1272957.786099, norm of subgrad 35.481078 stepsize= 1.000000
+dualbound = 3468899.041073, lowerbound=1271507.041073, norm of subgrad 1128.124125 dualbound = 3468899.041073, lowerbound=1271507.041073, norm of subgrad 35.188847 stepsize= 1.000000
+dualbound = 3468973.362713, lowerbound=1274499.362713, norm of subgrad 1129.461979 dualbound = 3468973.362713, lowerbound=1274499.362713, norm of subgrad 35.486922 stepsize= 1.000000
+dualbound = 3469026.851199, lowerbound=1271834.851199, norm of subgrad 1128.298653 dualbound = 3469026.851199, lowerbound=1271834.851199, norm of subgrad 35.727979 stepsize= 1.000000
+dualbound = 3469102.817801, lowerbound=1277995.817801, norm of subgrad 1130.998593 dualbound = 3469102.817801, lowerbound=1277995.817801, norm of subgrad 35.184750 stepsize= 1.000000
+dualbound = 3469220.258607, lowerbound=1273784.258607, norm of subgrad 1129.135182 dualbound = 3469220.258607, lowerbound=1273784.258607, norm of subgrad 35.769272 stepsize= 1.000000
+dualbound = 3469277.888404, lowerbound=1277055.888404, norm of subgrad 1130.594927 dualbound = 3469277.888404, lowerbound=1277055.888404, norm of subgrad 35.307645 stepsize= 1.000000
+dualbound = 3469355.223731, lowerbound=1272626.223731, norm of subgrad 1128.628027 dualbound = 3469355.223731, lowerbound=1272626.223731, norm of subgrad 35.388350 stepsize= 1.000000
+dualbound = 3469417.486867, lowerbound=1272342.486867, norm of subgrad 1128.539094 dualbound = 3469417.486867, lowerbound=1272342.486867, norm of subgrad 36.335425 stepsize= 1.000000
+dualbound = 3469509.908240, lowerbound=1276456.908240, norm of subgrad 1130.333538 dualbound = 3469509.908240, lowerbound=1276456.908240, norm of subgrad 35.908514 stepsize= 1.000000
+dualbound = 3469579.416382, lowerbound=1273152.416382, norm of subgrad 1128.874402 dualbound = 3469579.416382, lowerbound=1273152.416382, norm of subgrad 35.700254 stepsize= 1.000000
+dualbound = 3469677.502038, lowerbound=1273281.502038, norm of subgrad 1128.947077 dualbound = 3469677.502038, lowerbound=1273281.502038, norm of subgrad 36.579853 stepsize= 1.000000
+dualbound = 3469740.937516, lowerbound=1275370.937516, norm of subgrad 1129.837571 dualbound = 3469740.937516, lowerbound=1275370.937516, norm of subgrad 35.006221 stepsize= 1.000000
+dualbound = 3469847.502931, lowerbound=1275970.502931, norm of subgrad 1130.120570 dualbound = 3469847.502931, lowerbound=1275970.502931, norm of subgrad 36.174099 stepsize= 1.000000
+dualbound = 3469879.414268, lowerbound=1272954.414268, norm of subgrad 1128.785814 dualbound = 3469879.414268, lowerbound=1272954.414268, norm of subgrad 35.141305 stepsize= 1.000000
+dualbound = 3469959.644742, lowerbound=1272386.644742, norm of subgrad 1128.541822 dualbound = 3469959.644742, lowerbound=1272386.644742, norm of subgrad 36.058709 stepsize= 1.000000
+dualbound = 3470050.167383, lowerbound=1267611.167383, norm of subgrad 1126.422286 dualbound = 3470050.167383, lowerbound=1267611.167383, norm of subgrad 36.145852 stepsize= 1.000000
+dualbound = 3470114.885215, lowerbound=1275682.885215, norm of subgrad 1129.974728 dualbound = 3470114.885215, lowerbound=1275682.885215, norm of subgrad 34.995969 stepsize= 1.000000
+dualbound = 3470216.961323, lowerbound=1272016.961323, norm of subgrad 1128.352765 dualbound = 3470216.961323, lowerbound=1272016.961323, norm of subgrad 35.567908 stepsize= 1.000000
+dualbound = 3470285.440349, lowerbound=1273353.440349, norm of subgrad 1128.951478 dualbound = 3470285.440349, lowerbound=1273353.440349, norm of subgrad 35.305510 stepsize= 1.000000
+dualbound = 3470358.076074, lowerbound=1277134.076074, norm of subgrad 1130.652942 dualbound = 3470358.076074, lowerbound=1277134.076074, norm of subgrad 36.257906 stepsize= 1.000000
+dualbound = 3470425.018646, lowerbound=1276500.018646, norm of subgrad 1130.388437 dualbound = 3470425.018646, lowerbound=1276500.018646, norm of subgrad 36.673459 stepsize= 1.000000
+dualbound = 3470501.738172, lowerbound=1273591.738172, norm of subgrad 1129.070298 dualbound = 3470501.738172, lowerbound=1273591.738172, norm of subgrad 35.842984 stepsize= 1.000000
+dualbound = 3470577.413627, lowerbound=1275449.413627, norm of subgrad 1129.877167 dualbound = 3470577.413627, lowerbound=1275449.413627, norm of subgrad 35.336602 stepsize= 1.000000
+dualbound = 3470684.882895, lowerbound=1275145.882895, norm of subgrad 1129.733988 dualbound = 3470684.882895, lowerbound=1275145.882895, norm of subgrad 35.503088 stepsize= 1.000000
+dualbound = 3470785.274488, lowerbound=1272274.274488, norm of subgrad 1128.459248 dualbound = 3470785.274488, lowerbound=1272274.274488, norm of subgrad 35.304272 stepsize= 1.000000
+dualbound = 3470832.781291, lowerbound=1276767.781291, norm of subgrad 1130.479890 dualbound = 3470832.781291, lowerbound=1276767.781291, norm of subgrad 35.559904 stepsize= 1.000000
+dualbound = 3470886.100045, lowerbound=1276499.100045, norm of subgrad 1130.396877 dualbound = 3470886.100045, lowerbound=1276499.100045, norm of subgrad 36.760288 stepsize= 1.000000
+dualbound = 3470977.813648, lowerbound=1273524.813648, norm of subgrad 1129.020289 dualbound = 3470977.813648, lowerbound=1273524.813648, norm of subgrad 35.407818 stepsize= 1.000000
+dualbound = 3471074.184597, lowerbound=1269449.184598, norm of subgrad 1127.216565 dualbound = 3471074.184597, lowerbound=1269449.184598, norm of subgrad 35.557994 stepsize= 1.000000
+dualbound = 3471134.272634, lowerbound=1273075.272634, norm of subgrad 1128.816758 dualbound = 3471134.272634, lowerbound=1273075.272634, norm of subgrad 34.815055 stepsize= 1.000000
+dualbound = 3471246.077310, lowerbound=1272340.077310, norm of subgrad 1128.500367 dualbound = 3471246.077310, lowerbound=1272340.077310, norm of subgrad 35.844172 stepsize= 1.000000
+dualbound = 3471264.656808, lowerbound=1274488.656808, norm of subgrad 1129.489113 dualbound = 3471264.656808, lowerbound=1274488.656808, norm of subgrad 35.715256 stepsize= 1.000000
+dualbound = 3471381.326637, lowerbound=1270455.326637, norm of subgrad 1127.674300 dualbound = 3471381.326637, lowerbound=1270455.326637, norm of subgrad 36.203174 stepsize= 1.000000
+dualbound = 3471440.093505, lowerbound=1272994.093505, norm of subgrad 1128.821108 dualbound = 3471440.093505, lowerbound=1272994.093505, norm of subgrad 36.080006 stepsize= 1.000000
+dualbound = 3471508.005375, lowerbound=1277117.005375, norm of subgrad 1130.630800 dualbound = 3471508.005375, lowerbound=1277117.005375, norm of subgrad 35.733904 stepsize= 1.000000
+dualbound = 3471630.561423, lowerbound=1274957.561423, norm of subgrad 1129.643112 dualbound = 3471630.561423, lowerbound=1274957.561423, norm of subgrad 35.476134 stepsize= 1.000000
+dualbound = 3471681.837178, lowerbound=1272468.837178, norm of subgrad 1128.595958 dualbound = 3471681.837178, lowerbound=1272468.837178, norm of subgrad 36.211542 stepsize= 1.000000
+dualbound = 3471739.853733, lowerbound=1270047.853733, norm of subgrad 1127.510024 dualbound = 3471739.853733, lowerbound=1270047.853733, norm of subgrad 35.902877 stepsize= 1.000000
+dualbound = 3471834.475340, lowerbound=1273618.475340, norm of subgrad 1129.125979 dualbound = 3471834.475340, lowerbound=1273618.475340, norm of subgrad 37.438237 stepsize= 1.000000
+dualbound = 3471912.058718, lowerbound=1273102.058718, norm of subgrad 1128.852984 dualbound = 3471912.058718, lowerbound=1273102.058718, norm of subgrad 35.841085 stepsize= 1.000000
+dualbound = 3471999.170862, lowerbound=1275894.170862, norm of subgrad 1130.090337 dualbound = 3471999.170862, lowerbound=1275894.170862, norm of subgrad 36.015443 stepsize= 1.000000
+dualbound = 3472078.041626, lowerbound=1273508.041626, norm of subgrad 1129.021719 dualbound = 3472078.041626, lowerbound=1273508.041626, norm of subgrad 35.508742 stepsize= 1.000000
+dualbound = 3472168.538565, lowerbound=1264443.538565, norm of subgrad 1124.998906 dualbound = 3472168.538565, lowerbound=1264443.538565, norm of subgrad 35.630001 stepsize= 1.000000
+dualbound = 3472226.523883, lowerbound=1271738.523883, norm of subgrad 1128.246216 dualbound = 3472226.523883, lowerbound=1271738.523883, norm of subgrad 35.482183 stepsize= 1.000000
+dualbound = 3472333.839975, lowerbound=1271643.839975, norm of subgrad 1128.194061 dualbound = 3472333.839975, lowerbound=1271643.839975, norm of subgrad 35.851305 stepsize= 1.000000
+dualbound = 3472394.840452, lowerbound=1274903.840452, norm of subgrad 1129.667580 dualbound = 3472394.840452, lowerbound=1274903.840452, norm of subgrad 36.138629 stepsize= 1.000000
+dualbound = 3472468.490829, lowerbound=1274633.490829, norm of subgrad 1129.542602 dualbound = 3472468.490829, lowerbound=1274633.490829, norm of subgrad 36.147619 stepsize= 1.000000
+dualbound = 3472556.495930, lowerbound=1271486.495930, norm of subgrad 1128.135850 dualbound = 3472556.495930, lowerbound=1271486.495930, norm of subgrad 35.944472 stepsize= 1.000000
+dualbound = 3472624.918041, lowerbound=1277927.918041, norm of subgrad 1130.986701 dualbound = 3472624.918041, lowerbound=1277927.918041, norm of subgrad 35.657006 stepsize= 1.000000
+dualbound = 3472713.168804, lowerbound=1273209.168804, norm of subgrad 1128.898653 dualbound = 3472713.168804, lowerbound=1273209.168804, norm of subgrad 35.933978 stepsize= 1.000000
+dualbound = 3472771.364731, lowerbound=1271956.364731, norm of subgrad 1128.369782 dualbound = 3472771.364731, lowerbound=1271956.364731, norm of subgrad 36.334501 stepsize= 1.000000
+dualbound = 3472862.442135, lowerbound=1273858.442135, norm of subgrad 1129.194156 dualbound = 3472862.442135, lowerbound=1273858.442135, norm of subgrad 36.222609 stepsize= 1.000000
+dualbound = 3472931.604627, lowerbound=1269833.604627, norm of subgrad 1127.413236 dualbound = 3472931.604627, lowerbound=1269833.604627, norm of subgrad 36.002257 stepsize= 1.000000
+dualbound = 3473015.129046, lowerbound=1277418.129046, norm of subgrad 1130.771475 dualbound = 3473015.129046, lowerbound=1277418.129046, norm of subgrad 36.187352 stepsize= 1.000000
+dualbound = 3473090.752847, lowerbound=1273289.752847, norm of subgrad 1128.945416 dualbound = 3473090.752847, lowerbound=1273289.752847, norm of subgrad 36.105731 stepsize= 1.000000
+dualbound = 3473183.173890, lowerbound=1278654.173890, norm of subgrad 1131.327616 dualbound = 3473183.173890, lowerbound=1278654.173890, norm of subgrad 36.611761 stepsize= 1.000000
+dualbound = 3473222.954284, lowerbound=1272342.954284, norm of subgrad 1128.539301 dualbound = 3473222.954284, lowerbound=1272342.954284, norm of subgrad 36.024719 stepsize= 1.000000
+dualbound = 3473330.913885, lowerbound=1270275.913885, norm of subgrad 1127.575680 dualbound = 3473330.913885, lowerbound=1270275.913885, norm of subgrad 35.481821 stepsize= 1.000000
+dualbound = 3473427.433826, lowerbound=1274446.433826, norm of subgrad 1129.429251 dualbound = 3473427.433826, lowerbound=1274446.433826, norm of subgrad 35.503802 stepsize= 1.000000
+dualbound = 3473469.726020, lowerbound=1269544.726020, norm of subgrad 1127.292653 dualbound = 3473469.726020, lowerbound=1269544.726020, norm of subgrad 35.864916 stepsize= 1.000000
+dualbound = 3473543.707276, lowerbound=1277653.707276, norm of subgrad 1130.880943 dualbound = 3473543.707276, lowerbound=1277653.707276, norm of subgrad 36.221282 stepsize= 1.000000
+dualbound = 3473617.026080, lowerbound=1274665.026080, norm of subgrad 1129.553020 dualbound = 3473617.026080, lowerbound=1274665.026080, norm of subgrad 36.032191 stepsize= 1.000000
+dualbound = 3473724.740159, lowerbound=1273493.740159, norm of subgrad 1129.016271 dualbound = 3473724.740159, lowerbound=1273493.740159, norm of subgrad 35.940424 stepsize= 1.000000
+dualbound = 3473787.633460, lowerbound=1275370.633460, norm of subgrad 1129.863989 dualbound = 3473787.633460, lowerbound=1275370.633460, norm of subgrad 35.845408 stepsize= 1.000000
+dualbound = 3473879.699917, lowerbound=1270007.699917, norm of subgrad 1127.497539 dualbound = 3473879.699917, lowerbound=1270007.699917, norm of subgrad 36.538561 stepsize= 1.000000
+dualbound = 3473924.882872, lowerbound=1273682.882872, norm of subgrad 1129.141658 dualbound = 3473924.882872, lowerbound=1273682.882872, norm of subgrad 36.375582 stepsize= 1.000000
+dualbound = 3474049.565909, lowerbound=1274314.565909, norm of subgrad 1129.403633 dualbound = 3474049.565909, lowerbound=1274314.565909, norm of subgrad 36.914537 stepsize= 1.000000
+dualbound = 3474093.380087, lowerbound=1272467.380087, norm of subgrad 1128.591769 dualbound = 3474093.380087, lowerbound=1272467.380087, norm of subgrad 35.997419 stepsize= 1.000000
+dualbound = 3474172.088094, lowerbound=1278414.088094, norm of subgrad 1131.226365 dualbound = 3474172.088094, lowerbound=1278414.088094, norm of subgrad 36.574691 stepsize= 1.000000
+dualbound = 3474248.163954, lowerbound=1271301.163954, norm of subgrad 1128.074982 dualbound = 3474248.163954, lowerbound=1271301.163954, norm of subgrad 36.442775 stepsize= 1.000000
+dualbound = 3474335.194232, lowerbound=1270994.194232, norm of subgrad 1127.932708 dualbound = 3474335.194232, lowerbound=1270994.194232, norm of subgrad 36.400965 stepsize= 1.000000
+dualbound = 3474418.628586, lowerbound=1271986.628586, norm of subgrad 1128.327802 dualbound = 3474418.628586, lowerbound=1271986.628586, norm of subgrad 34.934716 stepsize= 1.000000
+dualbound = 3474509.889478, lowerbound=1273683.889478, norm of subgrad 1129.088522 dualbound = 3474509.889478, lowerbound=1273683.889478, norm of subgrad 35.330736 stepsize= 1.000000
+dualbound = 3474577.152725, lowerbound=1272734.152725, norm of subgrad 1128.698433 dualbound = 3474577.152725, lowerbound=1272734.152725, norm of subgrad 35.961969 stepsize= 1.000000
+dualbound = 3474653.738633, lowerbound=1274298.738633, norm of subgrad 1129.375375 dualbound = 3474653.738633, lowerbound=1274298.738633, norm of subgrad 35.589126 stepsize= 1.000000
+dualbound = 3474720.779722, lowerbound=1270531.779722, norm of subgrad 1127.735244 dualbound = 3474720.779722, lowerbound=1270531.779722, norm of subgrad 36.359883 stepsize= 1.000000
+dualbound = 3474803.988832, lowerbound=1279479.988832, norm of subgrad 1131.685464 dualbound = 3474803.988832, lowerbound=1279479.988832, norm of subgrad 36.265812 stepsize= 1.000000
+dualbound = 3474887.585805, lowerbound=1272153.585805, norm of subgrad 1128.441219 dualbound = 3474887.585805, lowerbound=1272153.585805, norm of subgrad 36.188354 stepsize= 1.000000
+dualbound = 3474962.723084, lowerbound=1271959.723084, norm of subgrad 1128.333161 dualbound = 3474962.723084, lowerbound=1271959.723084, norm of subgrad 35.371419 stepsize= 1.000000
+dualbound = 3475063.323706, lowerbound=1270322.323706, norm of subgrad 1127.599363 dualbound = 3475063.323706, lowerbound=1270322.323706, norm of subgrad 35.476762 stepsize= 1.000000
+dualbound = 3475128.004462, lowerbound=1276487.004462, norm of subgrad 1130.367641 dualbound = 3475128.004462, lowerbound=1276487.004462, norm of subgrad 36.175693 stepsize= 1.000000
+dualbound = 3475199.420987, lowerbound=1269416.420987, norm of subgrad 1127.206911 dualbound = 3475199.420987, lowerbound=1269416.420987, norm of subgrad 35.361229 stepsize= 1.000000
+dualbound = 3475268.223325, lowerbound=1275851.223325, norm of subgrad 1130.071778 dualbound = 3475268.223325, lowerbound=1275851.223325, norm of subgrad 35.774325 stepsize= 1.000000
+dualbound = 3475355.415349, lowerbound=1274475.415349, norm of subgrad 1129.460675 dualbound = 3475355.415349, lowerbound=1274475.415349, norm of subgrad 35.960979 stepsize= 1.000000
+dualbound = 3475435.238795, lowerbound=1274556.238795, norm of subgrad 1129.486715 dualbound = 3475435.238795, lowerbound=1274556.238795, norm of subgrad 35.550295 stepsize= 1.000000
+dualbound = 3475521.597505, lowerbound=1272765.597505, norm of subgrad 1128.690656 dualbound = 3475521.597505, lowerbound=1272765.597505, norm of subgrad 35.543758 stepsize= 1.000000
+dualbound = 3475604.727501, lowerbound=1276672.727501, norm of subgrad 1130.455098 dualbound = 3475604.727501, lowerbound=1276672.727501, norm of subgrad 36.594125 stepsize= 1.000000
+dualbound = 3475645.121001, lowerbound=1272797.121001, norm of subgrad 1128.745375 dualbound = 3475645.121001, lowerbound=1272797.121001, norm of subgrad 36.185543 stepsize= 1.000000
+dualbound = 3475740.057311, lowerbound=1279031.057311, norm of subgrad 1131.475611 dualbound = 3475740.057311, lowerbound=1279031.057311, norm of subgrad 36.068495 stepsize= 1.000000
+dualbound = 3475843.118425, lowerbound=1271794.118425, norm of subgrad 1128.246479 dualbound = 3475843.118425, lowerbound=1271794.118425, norm of subgrad 35.342059 stepsize= 1.000000
+dualbound = 3475901.801033, lowerbound=1270767.801033, norm of subgrad 1127.807519 dualbound = 3475901.801033, lowerbound=1270767.801033, norm of subgrad 35.223325 stepsize= 1.000000
+dualbound = 3475976.638119, lowerbound=1273894.638119, norm of subgrad 1129.222139 dualbound = 3475976.638119, lowerbound=1273894.638119, norm of subgrad 36.370827 stepsize= 1.000000
+dualbound = 3476036.671275, lowerbound=1267255.671275, norm of subgrad 1126.233844 dualbound = 3476036.671275, lowerbound=1267255.671275, norm of subgrad 34.742383 stepsize= 1.000000
+dualbound = 3476161.821297, lowerbound=1277842.821297, norm of subgrad 1130.936701 dualbound = 3476161.821297, lowerbound=1277842.821297, norm of subgrad 36.057593 stepsize= 1.000000
+dualbound = 3476208.711809, lowerbound=1269614.711809, norm of subgrad 1127.308171 dualbound = 3476208.711809, lowerbound=1269614.711809, norm of subgrad 35.438546 stepsize= 1.000000
+dualbound = 3476285.921581, lowerbound=1278444.921581, norm of subgrad 1131.233363 dualbound = 3476285.921581, lowerbound=1278444.921581, norm of subgrad 36.348449 stepsize= 1.000000
+dualbound = 3476355.025018, lowerbound=1271553.025018, norm of subgrad 1128.191927 dualbound = 3476355.025018, lowerbound=1271553.025018, norm of subgrad 36.511689 stepsize= 1.000000
+dualbound = 3476447.306219, lowerbound=1276031.306219, norm of subgrad 1130.171361 dualbound = 3476447.306219, lowerbound=1276031.306219, norm of subgrad 36.718949 stepsize= 1.000000
+dualbound = 3476517.887199, lowerbound=1276339.887199, norm of subgrad 1130.302564 dualbound = 3476517.887199, lowerbound=1276339.887199, norm of subgrad 36.257151 stepsize= 1.000000
+dualbound = 3476614.077466, lowerbound=1271483.077466, norm of subgrad 1128.104639 dualbound = 3476614.077466, lowerbound=1271483.077466, norm of subgrad 35.116809 stepsize= 1.000000
+dualbound = 3476694.426274, lowerbound=1271161.426274, norm of subgrad 1128.000632 dualbound = 3476694.426274, lowerbound=1271161.426274, norm of subgrad 36.115770 stepsize= 1.000000
+dualbound = 3476768.219818, lowerbound=1274487.219818, norm of subgrad 1129.451734 dualbound = 3476768.219818, lowerbound=1274487.219818, norm of subgrad 35.324121 stepsize= 1.000000
+dualbound = 3476861.188651, lowerbound=1273645.188651, norm of subgrad 1129.070498 dualbound = 3476861.188651, lowerbound=1273645.188651, norm of subgrad 35.326602 stepsize= 1.000000
+dualbound = 3476938.720189, lowerbound=1281231.720189, norm of subgrad 1132.451641 dualbound = 3476938.720189, lowerbound=1281231.720189, norm of subgrad 35.951795 stepsize= 1.000000
+dualbound = 3476994.440008, lowerbound=1270495.440008, norm of subgrad 1127.688982 dualbound = 3476994.440008, lowerbound=1270495.440008, norm of subgrad 35.252231 stepsize= 1.000000
+dualbound = 3477071.282596, lowerbound=1273372.282596, norm of subgrad 1128.993925 dualbound = 3477071.282596, lowerbound=1273372.282596, norm of subgrad 36.494419 stepsize= 1.000000
+dualbound = 3477157.941943, lowerbound=1271967.941943, norm of subgrad 1128.366493 dualbound = 3477157.941943, lowerbound=1271967.941943, norm of subgrad 36.464494 stepsize= 1.000000
+dualbound = 3477219.086637, lowerbound=1275394.086637, norm of subgrad 1129.869500 dualbound = 3477219.086637, lowerbound=1275394.086637, norm of subgrad 35.667137 stepsize= 1.000000
+dualbound = 3477327.145066, lowerbound=1265916.145066, norm of subgrad 1125.622559 dualbound = 3477327.145066, lowerbound=1265916.145066, norm of subgrad 34.900694 stepsize= 1.000000
+dualbound = 3477416.995435, lowerbound=1280414.995435, norm of subgrad 1132.055650 dualbound = 3477416.995435, lowerbound=1280414.995435, norm of subgrad 34.997862 stepsize= 1.000000
+dualbound = 3477457.057666, lowerbound=1275523.057666, norm of subgrad 1129.904004 dualbound = 3477457.057666, lowerbound=1275523.057666, norm of subgrad 34.641914 stepsize= 1.000000
+dualbound = 3477553.160568, lowerbound=1279496.160568, norm of subgrad 1131.651519 dualbound = 3477553.160568, lowerbound=1279496.160568, norm of subgrad 35.144031 stepsize= 1.000000
+dualbound = 3477625.622706, lowerbound=1266711.622706, norm of subgrad 1126.019370 dualbound = 3477625.622706, lowerbound=1266711.622706, norm of subgrad 35.783546 stepsize= 1.000000
+dualbound = 3477691.617914, lowerbound=1282089.617914, norm of subgrad 1132.814026 dualbound = 3477691.617914, lowerbound=1282089.617914, norm of subgrad 35.270316 stepsize= 1.000000
+dualbound = 3477778.343922, lowerbound=1274038.343922, norm of subgrad 1129.244590 dualbound = 3477778.343922, lowerbound=1274038.343922, norm of subgrad 35.238133 stepsize= 1.000000
+dualbound = 3477854.241037, lowerbound=1274572.241037, norm of subgrad 1129.507079 dualbound = 3477854.241037, lowerbound=1274572.241037, norm of subgrad 35.915138 stepsize= 1.000000
+dualbound = 3477917.224720, lowerbound=1275039.224720, norm of subgrad 1129.736352 dualbound = 3477917.224720, lowerbound=1275039.224720, norm of subgrad 36.441510 stepsize= 1.000000
+dualbound = 3477978.426906, lowerbound=1270945.426906, norm of subgrad 1127.913750 dualbound = 3477978.426906, lowerbound=1270945.426906, norm of subgrad 36.127582 stepsize= 1.000000
+dualbound = 3478062.162433, lowerbound=1282849.162433, norm of subgrad 1133.167314 dualbound = 3478062.162433, lowerbound=1282849.162433, norm of subgrad 36.093428 stepsize= 1.000000
+dualbound = 3478151.746949, lowerbound=1272122.746949, norm of subgrad 1128.422238 dualbound = 3478151.746949, lowerbound=1272122.746949, norm of subgrad 36.105187 stepsize= 1.000000
+dualbound = 3478232.956842, lowerbound=1276473.956842, norm of subgrad 1130.349042 dualbound = 3478232.956842, lowerbound=1276473.956842, norm of subgrad 36.002915 stepsize= 1.000000
+dualbound = 3478318.142519, lowerbound=1275296.142519, norm of subgrad 1129.817747 dualbound = 3478318.142519, lowerbound=1275296.142519, norm of subgrad 35.737735 stepsize= 1.000000
+dualbound = 3478374.406805, lowerbound=1274181.406805, norm of subgrad 1129.381427 dualbound = 3478374.406805, lowerbound=1274181.406805, norm of subgrad 37.111512 stepsize= 1.000000
+dualbound = 3478437.724464, lowerbound=1273199.724464, norm of subgrad 1128.923259 dualbound = 3478437.724464, lowerbound=1273199.724464, norm of subgrad 36.487226 stepsize= 1.000000
+dualbound = 3478539.893472, lowerbound=1268000.893472, norm of subgrad 1126.591272 dualbound = 3478539.893472, lowerbound=1268000.893472, norm of subgrad 36.182441 stepsize= 1.000000
+dualbound = 3478613.143741, lowerbound=1276358.143741, norm of subgrad 1130.296485 dualbound = 3478613.143741, lowerbound=1276358.143741, norm of subgrad 35.850387 stepsize= 1.000000
+dualbound = 3478711.660472, lowerbound=1267660.660472, norm of subgrad 1126.450026 dualbound = 3478711.660472, lowerbound=1267660.660472, norm of subgrad 36.435103 stepsize= 1.000000
+dualbound = 3478789.406367, lowerbound=1276295.406367, norm of subgrad 1130.253691 dualbound = 3478789.406367, lowerbound=1276295.406367, norm of subgrad 35.436505 stepsize= 1.000000
+dualbound = 3478867.936083, lowerbound=1273759.936083, norm of subgrad 1129.122640 dualbound = 3478867.936083, lowerbound=1273759.936083, norm of subgrad 35.164324 stepsize= 1.000000
+dualbound = 3478964.902307, lowerbound=1272106.902307, norm of subgrad 1128.411229 dualbound = 3478964.902307, lowerbound=1272106.902307, norm of subgrad 36.082769 stepsize= 1.000000
+dualbound = 3479004.259103, lowerbound=1278263.259103, norm of subgrad 1131.145994 dualbound = 3479004.259103, lowerbound=1278263.259103, norm of subgrad 35.599955 stepsize= 1.000000
+dualbound = 3479099.623695, lowerbound=1271294.623695, norm of subgrad 1128.046818 dualbound = 3479099.623695, lowerbound=1271294.623695, norm of subgrad 35.921645 stepsize= 1.000000
+dualbound = 3479165.584945, lowerbound=1276497.584945, norm of subgrad 1130.378514 dualbound = 3479165.584945, lowerbound=1276497.584945, norm of subgrad 36.386278 stepsize= 1.000000
+dualbound = 3479235.825246, lowerbound=1269735.825246, norm of subgrad 1127.345034 dualbound = 3479235.825246, lowerbound=1269735.825246, norm of subgrad 35.231240 stepsize= 1.000000
+dualbound = 3479328.927020, lowerbound=1276152.927020, norm of subgrad 1130.177387 dualbound = 3479328.927020, lowerbound=1276152.927020, norm of subgrad 35.229274 stepsize= 1.000000
+dualbound = 3479407.114861, lowerbound=1267915.114861, norm of subgrad 1126.542105 dualbound = 3479407.114861, lowerbound=1267915.114861, norm of subgrad 35.499125 stepsize= 1.000000
+dualbound = 3479474.186000, lowerbound=1277777.186000, norm of subgrad 1130.909451 dualbound = 3479474.186000, lowerbound=1277777.186000, norm of subgrad 35.299733 stepsize= 1.000000
+dualbound = 3479542.530971, lowerbound=1273943.530971, norm of subgrad 1129.223419 dualbound = 3479542.530971, lowerbound=1273943.530971, norm of subgrad 35.641899 stepsize= 1.000000
+dualbound = 3479614.303756, lowerbound=1273459.303756, norm of subgrad 1129.012092 dualbound = 3479614.303756, lowerbound=1273459.303756, norm of subgrad 35.787886 stepsize= 1.000000
+dualbound = 3479695.765753, lowerbound=1272072.765753, norm of subgrad 1128.399648 dualbound = 3479695.765753, lowerbound=1272072.765753, norm of subgrad 35.978633 stepsize= 1.000000
+dualbound = 3479752.721846, lowerbound=1274969.721846, norm of subgrad 1129.667970 dualbound = 3479752.721846, lowerbound=1274969.721846, norm of subgrad 35.170387 stepsize= 1.000000
+dualbound = 3479878.709923, lowerbound=1269397.709923, norm of subgrad 1127.187078 dualbound = 3479878.709923, lowerbound=1269397.709923, norm of subgrad 35.762943 stepsize= 1.000000
+dualbound = 3479944.049592, lowerbound=1275609.049592, norm of subgrad 1129.952676 dualbound = 3479944.049592, lowerbound=1275609.049592, norm of subgrad 35.345999 stepsize= 1.000000
+dualbound = 3480020.497642, lowerbound=1272858.497642, norm of subgrad 1128.736682 dualbound = 3480020.497642, lowerbound=1272858.497642, norm of subgrad 35.559078 stepsize= 1.000000
+dualbound = 3480085.906396, lowerbound=1272591.906396, norm of subgrad 1128.634089 dualbound = 3480085.906396, lowerbound=1272591.906396, norm of subgrad 35.894411 stepsize= 1.000000
+dualbound = 3480157.070093, lowerbound=1279105.070093, norm of subgrad 1131.533062 dualbound = 3480157.070093, lowerbound=1279105.070093, norm of subgrad 36.512514 stepsize= 1.000000
+dualbound = 3480248.736628, lowerbound=1272386.736628, norm of subgrad 1128.523255 dualbound = 3480248.736628, lowerbound=1272386.736628, norm of subgrad 35.632380 stepsize= 1.000000
+dualbound = 3480335.481831, lowerbound=1277963.481831, norm of subgrad 1131.022317 dualbound = 3480335.481831, lowerbound=1277963.481831, norm of subgrad 36.534165 stepsize= 1.000000
+dualbound = 3480401.291295, lowerbound=1275261.291295, norm of subgrad 1129.808520 dualbound = 3480401.291295, lowerbound=1275261.291295, norm of subgrad 35.662438 stepsize= 1.000000
+dualbound = 3480477.821897, lowerbound=1279241.821897, norm of subgrad 1131.583767 dualbound = 3480477.821897, lowerbound=1279241.821897, norm of subgrad 36.284027 stepsize= 1.000000
+dualbound = 3480553.082608, lowerbound=1272070.082608, norm of subgrad 1128.395357 dualbound = 3480553.082608, lowerbound=1272070.082608, norm of subgrad 35.794702 stepsize= 1.000000
+dualbound = 3480643.119489, lowerbound=1271828.119489, norm of subgrad 1128.316055 dualbound = 3480643.119489, lowerbound=1271828.119489, norm of subgrad 36.865117 stepsize= 1.000000
+dualbound = 3480676.205567, lowerbound=1277616.205567, norm of subgrad 1130.859941 dualbound = 3480676.205567, lowerbound=1277616.205567, norm of subgrad 35.511774 stepsize= 1.000000
+dualbound = 3480798.195072, lowerbound=1273917.195072, norm of subgrad 1129.217957 dualbound = 3480798.195072, lowerbound=1273917.195072, norm of subgrad 36.578539 stepsize= 1.000000
+dualbound = 3480864.399232, lowerbound=1277040.399232, norm of subgrad 1130.589403 dualbound = 3480864.399232, lowerbound=1277040.399232, norm of subgrad 35.471174 stepsize= 1.000000
+dualbound = 3480962.707516, lowerbound=1276859.707516, norm of subgrad 1130.501971 dualbound = 3480962.707516, lowerbound=1276859.707516, norm of subgrad 35.683446 stepsize= 1.000000
+dualbound = 3481036.677843, lowerbound=1273828.677843, norm of subgrad 1129.191161 dualbound = 3481036.677843, lowerbound=1273828.677843, norm of subgrad 36.303861 stepsize= 1.000000
+dualbound = 3481077.587636, lowerbound=1270610.587636, norm of subgrad 1127.767967 dualbound = 3481077.587636, lowerbound=1270610.587636, norm of subgrad 35.929233 stepsize= 1.000000
+dualbound = 3481174.515194, lowerbound=1270677.515194, norm of subgrad 1127.741333 dualbound = 3481174.515194, lowerbound=1270677.515194, norm of subgrad 34.927461 stepsize= 1.000000
+dualbound = 3481276.363713, lowerbound=1275857.363713, norm of subgrad 1130.049717 dualbound = 3481276.363713, lowerbound=1275857.363713, norm of subgrad 35.452059 stepsize= 1.000000
+dualbound = 3481340.710240, lowerbound=1276018.710240, norm of subgrad 1130.129068 dualbound = 3481340.710240, lowerbound=1276018.710240, norm of subgrad 35.175937 stepsize= 1.000000
+dualbound = 3481411.116655, lowerbound=1278318.116655, norm of subgrad 1131.171568 dualbound = 3481411.116655, lowerbound=1278318.116655, norm of subgrad 36.075011 stepsize= 1.000000
+dualbound = 3481485.740685, lowerbound=1273257.740685, norm of subgrad 1128.911751 dualbound = 3481485.740685, lowerbound=1273257.740685, norm of subgrad 35.477092 stepsize= 1.000000
+dualbound = 3481577.357673, lowerbound=1271375.357673, norm of subgrad 1128.099888 dualbound = 3481577.357673, lowerbound=1271375.357673, norm of subgrad 36.409023 stepsize= 1.000000
+dualbound = 3481643.697628, lowerbound=1279743.697628, norm of subgrad 1131.814339 dualbound = 3481643.697628, lowerbound=1279743.697628, norm of subgrad 36.418950 stepsize= 1.000000
+dualbound = 3481697.005509, lowerbound=1268630.005509, norm of subgrad 1126.882871 dualbound = 3481697.005509, lowerbound=1268630.005509, norm of subgrad 35.893006 stepsize= 1.000000
+dualbound = 3481825.948055, lowerbound=1277005.948055, norm of subgrad 1130.569303 dualbound = 3481825.948055, lowerbound=1277005.948055, norm of subgrad 36.193128 stepsize= 1.000000
+dualbound = 3481871.057238, lowerbound=1271612.057238, norm of subgrad 1128.193714 dualbound = 3481871.057238, lowerbound=1271612.057238, norm of subgrad 35.413404 stepsize= 1.000000
+dualbound = 3481971.266399, lowerbound=1275628.266399, norm of subgrad 1129.954099 dualbound = 3481971.266399, lowerbound=1275628.266399, norm of subgrad 35.611924 stepsize= 1.000000
+dualbound = 3482055.840031, lowerbound=1272382.840031, norm of subgrad 1128.524187 dualbound = 3482055.840031, lowerbound=1272382.840031, norm of subgrad 35.617041 stepsize= 1.000000
+dualbound = 3482111.916570, lowerbound=1276758.916570, norm of subgrad 1130.483046 dualbound = 3482111.916570, lowerbound=1276758.916570, norm of subgrad 35.903712 stepsize= 1.000000
+dualbound = 3482187.050942, lowerbound=1275179.050942, norm of subgrad 1129.802660 dualbound = 3482187.050942, lowerbound=1275179.050942, norm of subgrad 36.744175 stepsize= 1.000000
+dualbound = 3482249.241947, lowerbound=1270117.241947, norm of subgrad 1127.523943 dualbound = 3482249.241947, lowerbound=1270117.241947, norm of subgrad 35.428675 stepsize= 1.000000
+dualbound = 3482347.791607, lowerbound=1277466.791607, norm of subgrad 1130.806699 dualbound = 3482347.791607, lowerbound=1277466.791607, norm of subgrad 36.817790 stepsize= 1.000000
+dualbound = 3482405.582550, lowerbound=1276493.582550, norm of subgrad 1130.367897 dualbound = 3482405.582550, lowerbound=1276493.582550, norm of subgrad 35.997096 stepsize= 1.000000
+dualbound = 3482504.392863, lowerbound=1279433.392863, norm of subgrad 1131.674597 dualbound = 3482504.392863, lowerbound=1279433.392863, norm of subgrad 36.780570 stepsize= 1.000000
+dualbound = 3482564.433516, lowerbound=1276201.433516, norm of subgrad 1130.232026 dualbound = 3482564.433516, lowerbound=1276201.433516, norm of subgrad 35.819557 stepsize= 1.000000
+dualbound = 3482665.701092, lowerbound=1270315.701092, norm of subgrad 1127.615493 dualbound = 3482665.701092, lowerbound=1270315.701092, norm of subgrad 36.086945 stepsize= 1.000000
+dualbound = 3482756.636314, lowerbound=1277258.636314, norm of subgrad 1130.652748 dualbound = 3482756.636314, lowerbound=1277258.636314, norm of subgrad 34.755362 stepsize= 1.000000
+dualbound = 3482810.006349, lowerbound=1269103.006349, norm of subgrad 1127.089174 dualbound = 3482810.006349, lowerbound=1269103.006349, norm of subgrad 35.782259 stepsize= 1.000000
+dualbound = 3482887.886520, lowerbound=1271378.886520, norm of subgrad 1128.092588 dualbound = 3482887.886520, lowerbound=1271378.886520, norm of subgrad 35.942735 stepsize= 1.000000
+dualbound = 3482946.124967, lowerbound=1273214.124967, norm of subgrad 1128.915907 dualbound = 3482946.124967, lowerbound=1273214.124967, norm of subgrad 35.989421 stepsize= 1.000000
+dualbound = 3483053.125970, lowerbound=1274407.125970, norm of subgrad 1129.424688 dualbound = 3483053.125970, lowerbound=1274407.125970, norm of subgrad 36.055527 stepsize= 1.000000
+dualbound = 3483126.677747, lowerbound=1270973.677747, norm of subgrad 1127.925830 dualbound = 3483126.677747, lowerbound=1270973.677747, norm of subgrad 36.284319 stepsize= 1.000000
+dualbound = 3483185.189099, lowerbound=1273869.189099, norm of subgrad 1129.221054 dualbound = 3483185.189099, lowerbound=1273869.189099, norm of subgrad 36.462465 stepsize= 1.000000
+dualbound = 3483274.415376, lowerbound=1273077.415376, norm of subgrad 1128.846941 dualbound = 3483274.415376, lowerbound=1273077.415376, norm of subgrad 36.155584 stepsize= 1.000000
+dualbound = 3483354.254122, lowerbound=1273659.254122, norm of subgrad 1129.090897 dualbound = 3483354.254122, lowerbound=1273659.254122, norm of subgrad 35.592678 stepsize= 1.000000
+dualbound = 3483423.066345, lowerbound=1273762.066345, norm of subgrad 1129.187348 dualbound = 3483423.066345, lowerbound=1273762.066345, norm of subgrad 37.024481 stepsize= 1.000000
+dualbound = 3483478.681946, lowerbound=1281008.681946, norm of subgrad 1132.351837 dualbound = 3483478.681946, lowerbound=1281008.681946, norm of subgrad 35.603590 stepsize= 1.000000
+dualbound = 3483578.269844, lowerbound=1274381.269844, norm of subgrad 1129.404387 dualbound = 3483578.269844, lowerbound=1274381.269844, norm of subgrad 35.673350 stepsize= 1.000000
+dualbound = 3483665.367373, lowerbound=1276509.367373, norm of subgrad 1130.354089 dualbound = 3483665.367373, lowerbound=1276509.367373, norm of subgrad 35.750490 stepsize= 1.000000
+dualbound = 3483745.767898, lowerbound=1272191.767898, norm of subgrad 1128.459910 dualbound = 3483745.767898, lowerbound=1272191.767898, norm of subgrad 36.199455 stepsize= 1.000000
+dualbound = 3483816.567222, lowerbound=1277631.567222, norm of subgrad 1130.851700 dualbound = 3483816.567222, lowerbound=1277631.567222, norm of subgrad 35.564017 stepsize= 1.000000
+dualbound = 3483888.601176, lowerbound=1272289.601176, norm of subgrad 1128.503257 dualbound = 3483888.601176, lowerbound=1272289.601176, norm of subgrad 36.083708 stepsize= 1.000000
+dualbound = 3483986.561949, lowerbound=1279729.561949, norm of subgrad 1131.769218 dualbound = 3483986.561949, lowerbound=1279729.561949, norm of subgrad 35.636509 stepsize= 1.000000
+dualbound = 3484050.635964, lowerbound=1273457.635964, norm of subgrad 1129.014453 dualbound = 3484050.635964, lowerbound=1273457.635964, norm of subgrad 35.778122 stepsize= 1.000000
+dualbound = 3484117.090475, lowerbound=1280251.090475, norm of subgrad 1132.044209 dualbound = 3484117.090475, lowerbound=1280251.090475, norm of subgrad 36.598559 stepsize= 1.000000
+dualbound = 3484192.788280, lowerbound=1270505.788280, norm of subgrad 1127.709088 dualbound = 3484192.788280, lowerbound=1270505.788280, norm of subgrad 36.023573 stepsize= 1.000000
+dualbound = 3484277.649311, lowerbound=1274816.649311, norm of subgrad 1129.602430 dualbound = 3484277.649311, lowerbound=1274816.649311, norm of subgrad 35.635110 stepsize= 1.000000
+dualbound = 3484355.615874, lowerbound=1269356.615874, norm of subgrad 1127.198570 dualbound = 3484355.615874, lowerbound=1269356.615874, norm of subgrad 36.027303 stepsize= 1.000000
+dualbound = 3484416.209398, lowerbound=1278333.209398, norm of subgrad 1131.163211 dualbound = 3484416.209398, lowerbound=1278333.209398, norm of subgrad 35.462565 stepsize= 1.000000
+dualbound = 3484525.950000, lowerbound=1275559.950000, norm of subgrad 1129.934932 dualbound = 3484525.950000, lowerbound=1275559.950000, norm of subgrad 36.093498 stepsize= 1.000000
+dualbound = 3484567.618994, lowerbound=1278331.618994, norm of subgrad 1131.173116 dualbound = 3484567.618994, lowerbound=1278331.618994, norm of subgrad 35.534054 stepsize= 1.000000
+dualbound = 3484662.035825, lowerbound=1270174.035825, norm of subgrad 1127.554449 dualbound = 3484662.035825, lowerbound=1270174.035825, norm of subgrad 36.047425 stepsize= 1.000000
+dualbound = 3484739.227225, lowerbound=1279560.227225, norm of subgrad 1131.707218 dualbound = 3484739.227225, lowerbound=1279560.227225, norm of subgrad 35.751803 stepsize= 1.000000
+dualbound = 3484826.766255, lowerbound=1273052.766255, norm of subgrad 1128.809446 dualbound = 3484826.766255, lowerbound=1273052.766255, norm of subgrad 35.292195 stepsize= 1.000000
+dualbound = 3484908.720508, lowerbound=1282041.720508, norm of subgrad 1132.808775 dualbound = 3484908.720508, lowerbound=1282041.720508, norm of subgrad 35.999365 stepsize= 1.000000
+dualbound = 3484960.839684, lowerbound=1269688.839684, norm of subgrad 1127.336613 dualbound = 3484960.839684, lowerbound=1269688.839684, norm of subgrad 35.371163 stepsize= 1.000000
+dualbound = 3485041.710486, lowerbound=1275100.710486, norm of subgrad 1129.767990 dualbound = 3485041.710486, lowerbound=1275100.710486, norm of subgrad 36.822151 stepsize= 1.000000
+dualbound = 3485094.483891, lowerbound=1275963.483891, norm of subgrad 1130.127641 dualbound = 3485094.483891, lowerbound=1275963.483891, norm of subgrad 35.745956 stepsize= 1.000000
+dualbound = 3485203.327841, lowerbound=1271638.327841, norm of subgrad 1128.185414 dualbound = 3485203.327841, lowerbound=1271638.327841, norm of subgrad 35.676939 stepsize= 1.000000
+dualbound = 3485291.398477, lowerbound=1276787.398477, norm of subgrad 1130.462913 dualbound = 3485291.398477, lowerbound=1276787.398477, norm of subgrad 35.313887 stepsize= 1.000000
+dualbound = 3485342.733805, lowerbound=1271904.733805, norm of subgrad 1128.310123 dualbound = 3485342.733805, lowerbound=1271904.733805, norm of subgrad 35.076136 stepsize= 1.000000
+dualbound = 3485422.959342, lowerbound=1273354.959342, norm of subgrad 1128.979610 dualbound = 3485422.959342, lowerbound=1273354.959342, norm of subgrad 36.334908 stepsize= 1.000000
+dualbound = 3485470.240891, lowerbound=1276572.240891, norm of subgrad 1130.444267 dualbound = 3485470.240891, lowerbound=1276572.240891, norm of subgrad 37.138680 stepsize= 1.000000
+dualbound = 3485557.690529, lowerbound=1277661.690529, norm of subgrad 1130.862808 dualbound = 3485557.690529, lowerbound=1277661.690529, norm of subgrad 35.727435 stepsize= 1.000000
+dualbound = 3485647.312272, lowerbound=1270280.312272, norm of subgrad 1127.641482 dualbound = 3485647.312272, lowerbound=1270280.312272, norm of subgrad 37.210506 stepsize= 1.000000
+dualbound = 3485731.966598, lowerbound=1280607.966598, norm of subgrad 1132.168259 dualbound = 3485731.966598, lowerbound=1280607.966598, norm of subgrad 35.800200 stepsize= 1.000000
+dualbound = 3485793.818841, lowerbound=1272343.818841, norm of subgrad 1128.548102 dualbound = 3485793.818841, lowerbound=1272343.818841, norm of subgrad 36.590330 stepsize= 1.000000
+dualbound = 3485875.129974, lowerbound=1278714.129974, norm of subgrad 1131.330690 dualbound = 3485875.129974, lowerbound=1278714.129974, norm of subgrad 35.725497 stepsize= 1.000000
+dualbound = 3485985.426507, lowerbound=1272976.426507, norm of subgrad 1128.796450 dualbound = 3485985.426507, lowerbound=1272976.426507, norm of subgrad 36.267017 stepsize= 1.000000
+dualbound = 3486027.819324, lowerbound=1273421.819324, norm of subgrad 1129.026492 dualbound = 3486027.819324, lowerbound=1273421.819324, norm of subgrad 36.350967 stepsize= 1.000000
+dualbound = 3486095.350514, lowerbound=1269623.350514, norm of subgrad 1127.352807 dualbound = 3486095.350514, lowerbound=1269623.350514, norm of subgrad 36.993664 stepsize= 1.000000
+dualbound = 3486174.921767, lowerbound=1279654.921767, norm of subgrad 1131.765400 dualbound = 3486174.921767, lowerbound=1279654.921767, norm of subgrad 36.298364 stepsize= 1.000000
+dualbound = 3486272.077255, lowerbound=1269903.077255, norm of subgrad 1127.453803 dualbound = 3486272.077255, lowerbound=1269903.077255, norm of subgrad 36.689992 stepsize= 1.000000
+dualbound = 3486343.429588, lowerbound=1276539.429588, norm of subgrad 1130.356329 dualbound = 3486343.429588, lowerbound=1276539.429588, norm of subgrad 35.176019 stepsize= 1.000000
+dualbound = 3486433.878134, lowerbound=1268811.878134, norm of subgrad 1126.943157 dualbound = 3486433.878134, lowerbound=1268811.878134, norm of subgrad 35.769380 stepsize= 1.000000
+dualbound = 3486504.425466, lowerbound=1278039.425466, norm of subgrad 1131.038649 dualbound = 3486504.425466, lowerbound=1278039.425466, norm of subgrad 35.770761 stepsize= 1.000000
+dualbound = 3486572.277870, lowerbound=1272933.277870, norm of subgrad 1128.786197 dualbound = 3486572.277870, lowerbound=1272933.277870, norm of subgrad 35.956257 stepsize= 1.000000
+dualbound = 3486649.070947, lowerbound=1276898.070947, norm of subgrad 1130.564050 dualbound = 3486649.070947, lowerbound=1276898.070947, norm of subgrad 36.793927 stepsize= 1.000000
+dualbound = 3486715.671043, lowerbound=1277672.671043, norm of subgrad 1130.887117 dualbound = 3486715.671043, lowerbound=1277672.671043, norm of subgrad 36.049967 stepsize= 1.000000
+dualbound = 3486814.544247, lowerbound=1275560.544247, norm of subgrad 1129.928115 dualbound = 3486814.544247, lowerbound=1275560.544247, norm of subgrad 35.719367 stepsize= 1.000000
+dualbound = 3486905.898785, lowerbound=1274122.898785, norm of subgrad 1129.273173 dualbound = 3486905.898785, lowerbound=1274122.898785, norm of subgrad 35.019345 stepsize= 1.000000
+dualbound = 3486971.698735, lowerbound=1275775.698735, norm of subgrad 1130.031725 dualbound = 3486971.698735, lowerbound=1275775.698735, norm of subgrad 35.521824 stepsize= 1.000000
+dualbound = 3487048.305513, lowerbound=1280010.305513, norm of subgrad 1131.885730 dualbound = 3487048.305513, lowerbound=1280010.305513, norm of subgrad 35.094256 stepsize= 1.000000
+dualbound = 3487124.619468, lowerbound=1272764.619468, norm of subgrad 1128.707057 dualbound = 3487124.619468, lowerbound=1272764.619468, norm of subgrad 35.934857 stepsize= 1.000000
+dualbound = 3487204.792871, lowerbound=1280692.792871, norm of subgrad 1132.212344 dualbound = 3487204.792871, lowerbound=1280692.792871, norm of subgrad 35.946814 stepsize= 1.000000
+dualbound = 3487264.738154, lowerbound=1275207.738154, norm of subgrad 1129.790573 dualbound = 3487264.738154, lowerbound=1275207.738154, norm of subgrad 35.762344 stepsize= 1.000000
+dualbound = 3487350.926141, lowerbound=1278303.926141, norm of subgrad 1131.152035 dualbound = 3487350.926141, lowerbound=1278303.926141, norm of subgrad 35.877402 stepsize= 1.000000
+dualbound = 3487445.805776, lowerbound=1273360.805776, norm of subgrad 1128.936139 dualbound = 3487445.805776, lowerbound=1273360.805776, norm of subgrad 35.083894 stepsize= 1.000000
+dualbound = 3487527.525491, lowerbound=1278300.525491, norm of subgrad 1131.145227 dualbound = 3487527.525491, lowerbound=1278300.525491, norm of subgrad 35.647156 stepsize= 1.000000
+dualbound = 3487573.512242, lowerbound=1272173.512242, norm of subgrad 1128.435870 dualbound = 3487573.512242, lowerbound=1272173.512242, norm of subgrad 35.213446 stepsize= 1.000000
+dualbound = 3487635.446297, lowerbound=1273784.446297, norm of subgrad 1129.160062 dualbound = 3487635.446297, lowerbound=1273784.446297, norm of subgrad 35.776166 stepsize= 1.000000
+dualbound = 3487729.056228, lowerbound=1276207.056228, norm of subgrad 1130.228763 dualbound = 3487729.056228, lowerbound=1276207.056228, norm of subgrad 36.105539 stepsize= 1.000000
+dualbound = 3487806.199722, lowerbound=1278174.199722, norm of subgrad 1131.084966 dualbound = 3487806.199722, lowerbound=1278174.199722, norm of subgrad 35.442115 stepsize= 1.000000
+dualbound = 3487895.321077, lowerbound=1270263.321077, norm of subgrad 1127.585172 dualbound = 3487895.321077, lowerbound=1270263.321077, norm of subgrad 35.694837 stepsize= 1.000000
+dualbound = 3487949.326826, lowerbound=1278272.326826, norm of subgrad 1131.139835 dualbound = 3487949.326826, lowerbound=1278272.326826, norm of subgrad 35.482471 stepsize= 1.000000
+dualbound = 3488031.275798, lowerbound=1269885.275798, norm of subgrad 1127.443691 dualbound = 3488031.275798, lowerbound=1269885.275798, norm of subgrad 36.413582 stepsize= 1.000000
+dualbound = 3488110.579003, lowerbound=1281802.579003, norm of subgrad 1132.683353 dualbound = 3488110.579003, lowerbound=1281802.579003, norm of subgrad 35.331335 stepsize= 1.000000
+dualbound = 3488205.345589, lowerbound=1274088.345589, norm of subgrad 1129.276027 dualbound = 3488205.345589, lowerbound=1274088.345589, norm of subgrad 35.647813 stepsize= 1.000000
+dualbound = 3488274.047889, lowerbound=1280525.047889, norm of subgrad 1132.098957 dualbound = 3488274.047889, lowerbound=1280525.047889, norm of subgrad 34.521041 stepsize= 1.000000
+dualbound = 3488358.409120, lowerbound=1276858.409120, norm of subgrad 1130.518646 dualbound = 3488358.409120, lowerbound=1276858.409120, norm of subgrad 36.032780 stepsize= 1.000000
+dualbound = 3488415.250617, lowerbound=1275092.250617, norm of subgrad 1129.707595 dualbound = 3488415.250617, lowerbound=1275092.250617, norm of subgrad 34.696419 stepsize= 1.000000
+dualbound = 3488501.864821, lowerbound=1273168.864821, norm of subgrad 1128.866186 dualbound = 3488501.864821, lowerbound=1273168.864821, norm of subgrad 35.448755 stepsize= 1.000000
+dualbound = 3488563.024952, lowerbound=1273812.024952, norm of subgrad 1129.204598 dualbound = 3488563.024952, lowerbound=1273812.024952, norm of subgrad 36.771730 stepsize= 1.000000
+dualbound = 3488600.157542, lowerbound=1278180.157542, norm of subgrad 1131.158768 dualbound = 3488600.157542, lowerbound=1278180.157542, norm of subgrad 37.109737 stepsize= 1.000000
+dualbound = 3488690.591220, lowerbound=1279609.591220, norm of subgrad 1131.775416 dualbound = 3488690.591220, lowerbound=1279609.591220, norm of subgrad 37.368886 stepsize= 1.000000
+dualbound = 3488746.957350, lowerbound=1272968.957350, norm of subgrad 1128.822819 dualbound = 3488746.957350, lowerbound=1272968.957350, norm of subgrad 36.446757 stepsize= 1.000000
+dualbound = 3488856.394297, lowerbound=1277792.394297, norm of subgrad 1130.959944 dualbound = 3488856.394297, lowerbound=1277792.394297, norm of subgrad 37.248315 stepsize= 1.000000
+dualbound = 3488924.667486, lowerbound=1275559.667486, norm of subgrad 1129.952949 dualbound = 3488924.667486, lowerbound=1275559.667486, norm of subgrad 36.087022 stepsize= 1.000000
+dualbound = 3488998.601990, lowerbound=1274106.601990, norm of subgrad 1129.283225 dualbound = 3488998.601990, lowerbound=1274106.601990, norm of subgrad 35.326116 stepsize= 1.000000
+dualbound = 3489077.181225, lowerbound=1274129.181225, norm of subgrad 1129.317573 dualbound = 3489077.181225, lowerbound=1274129.181225, norm of subgrad 36.160465 stepsize= 1.000000
+dualbound = 3489133.898718, lowerbound=1274310.898718, norm of subgrad 1129.408207 dualbound = 3489133.898718, lowerbound=1274310.898718, norm of subgrad 36.176201 stepsize= 1.000000
+dualbound = 3489229.377486, lowerbound=1276934.377486, norm of subgrad 1130.557994 dualbound = 3489229.377486, lowerbound=1276934.377486, norm of subgrad 36.365901 stepsize= 1.000000
+dualbound = 3489309.587154, lowerbound=1279031.587154, norm of subgrad 1131.470984 dualbound = 3489309.587154, lowerbound=1279031.587154, norm of subgrad 35.710078 stepsize= 1.000000
+dualbound = 3489387.505937, lowerbound=1280583.505937, norm of subgrad 1132.156573 dualbound = 3489387.505937, lowerbound=1280583.505937, norm of subgrad 35.677987 stepsize= 1.000000
+dualbound = 3489483.794601, lowerbound=1274516.794601, norm of subgrad 1129.471024 dualbound = 3489483.794601, lowerbound=1274516.794601, norm of subgrad 35.836973 stepsize= 1.000000
+dualbound = 3489537.047252, lowerbound=1275018.047252, norm of subgrad 1129.703964 dualbound = 3489537.047252, lowerbound=1275018.047252, norm of subgrad 35.584444 stepsize= 1.000000
+dualbound = 3489607.371760, lowerbound=1272384.371760, norm of subgrad 1128.557651 dualbound = 3489607.371760, lowerbound=1272384.371760, norm of subgrad 36.446186 stepsize= 1.000000
+dualbound = 3489674.267625, lowerbound=1275830.267625, norm of subgrad 1130.070470 dualbound = 3489674.267625, lowerbound=1275830.267625, norm of subgrad 35.998554 stepsize= 1.000000
+dualbound = 3489762.633369, lowerbound=1278394.633369, norm of subgrad 1131.214672 dualbound = 3489762.633369, lowerbound=1278394.633369, norm of subgrad 36.611006 stepsize= 1.000000
+dualbound = 3489835.738151, lowerbound=1273635.738151, norm of subgrad 1129.103068 dualbound = 3489835.738151, lowerbound=1273635.738151, norm of subgrad 36.209181 stepsize= 1.000000
+dualbound = 3489904.904758, lowerbound=1277889.904758, norm of subgrad 1130.987579 dualbound = 3489904.904758, lowerbound=1277889.904758, norm of subgrad 36.223840 stepsize= 1.000000
+dualbound = 3489980.839522, lowerbound=1273361.839522, norm of subgrad 1128.985757 dualbound = 3489980.839522, lowerbound=1273361.839522, norm of subgrad 36.372170 stepsize= 1.000000
+dualbound = 3490062.467857, lowerbound=1276960.467857, norm of subgrad 1130.570417 dualbound = 3490062.467857, lowerbound=1276960.467857, norm of subgrad 36.202601 stepsize= 1.000000
+dualbound = 3490143.257725, lowerbound=1274232.257725, norm of subgrad 1129.351698 dualbound = 3490143.257725, lowerbound=1274232.257725, norm of subgrad 35.830014 stepsize= 1.000000
+dualbound = 3490219.046096, lowerbound=1271398.046096, norm of subgrad 1128.103296 dualbound = 3490219.046096, lowerbound=1271398.046096, norm of subgrad 35.983168 stepsize= 1.000000
+dualbound = 3490291.907769, lowerbound=1280281.907769, norm of subgrad 1132.036619 dualbound = 3490291.907769, lowerbound=1280281.907769, norm of subgrad 36.025847 stepsize= 1.000000
+dualbound = 3490354.049191, lowerbound=1269918.049191, norm of subgrad 1127.418312 dualbound = 3490354.049191, lowerbound=1269918.049191, norm of subgrad 34.873219 stepsize= 1.000000
+dualbound = 3490479.743449, lowerbound=1277596.743449, norm of subgrad 1130.819501 dualbound = 3490479.743449, lowerbound=1277596.743449, norm of subgrad 35.800758 stepsize= 1.000000
+dualbound = 3490516.499000, lowerbound=1276169.499000, norm of subgrad 1130.218341 dualbound = 3490516.499000, lowerbound=1276169.499000, norm of subgrad 35.507120 stepsize= 1.000000
+dualbound = 3490616.566790, lowerbound=1275795.566790, norm of subgrad 1130.017950 dualbound = 3490616.566790, lowerbound=1275795.566790, norm of subgrad 35.285518 stepsize= 1.000000
+dualbound = 3490688.510388, lowerbound=1279810.510388, norm of subgrad 1131.804095 dualbound = 3490688.510388, lowerbound=1279810.510388, norm of subgrad 35.241220 stepsize= 1.000000
+dualbound = 3490769.734882, lowerbound=1277594.734882, norm of subgrad 1130.846910 dualbound = 3490769.734882, lowerbound=1277594.734882, norm of subgrad 36.072489 stepsize= 1.000000
+dualbound = 3490810.198935, lowerbound=1275627.198935, norm of subgrad 1129.999203 dualbound = 3490810.198935, lowerbound=1275627.198935, norm of subgrad 36.214142 stepsize= 1.000000
+dualbound = 3490902.706260, lowerbound=1275163.706260, norm of subgrad 1129.809146 dualbound = 3490902.706260, lowerbound=1275163.706260, norm of subgrad 37.383249 stepsize= 1.000000
+dualbound = 3490973.992018, lowerbound=1274328.992018, norm of subgrad 1129.401165 dualbound = 3490973.992018, lowerbound=1274328.992018, norm of subgrad 35.906626 stepsize= 1.000000
+dualbound = 3491052.095251, lowerbound=1279011.095251, norm of subgrad 1131.504351 dualbound = 3491052.095251, lowerbound=1279011.095251, norm of subgrad 37.001395 stepsize= 1.000000
+dualbound = 3491126.123475, lowerbound=1274393.123475, norm of subgrad 1129.437525 dualbound = 3491126.123475, lowerbound=1274393.123475, norm of subgrad 36.194312 stepsize= 1.000000
+dualbound = 3491209.449758, lowerbound=1278446.449758, norm of subgrad 1131.219895 dualbound = 3491209.449758, lowerbound=1278446.449758, norm of subgrad 35.990642 stepsize= 1.000000
+dualbound = 3491283.133886, lowerbound=1281777.133886, norm of subgrad 1132.687130 dualbound = 3491283.133886, lowerbound=1281777.133886, norm of subgrad 35.730717 stepsize= 1.000000
+dualbound = 3491351.900297, lowerbound=1277650.900297, norm of subgrad 1130.905345 dualbound = 3491351.900297, lowerbound=1277650.900297, norm of subgrad 36.942745 stepsize= 1.000000
+dualbound = 3491419.970843, lowerbound=1272727.970843, norm of subgrad 1128.699238 dualbound = 3491419.970843, lowerbound=1272727.970843, norm of subgrad 36.084215 stepsize= 1.000000
+dualbound = 3491491.709097, lowerbound=1280338.709097, norm of subgrad 1132.087324 dualbound = 3491491.709097, lowerbound=1280338.709097, norm of subgrad 36.806769 stepsize= 1.000000
+dualbound = 3491602.787607, lowerbound=1275481.787607, norm of subgrad 1129.901229 dualbound = 3491602.787607, lowerbound=1275481.787607, norm of subgrad 36.139708 stepsize= 1.000000
+dualbound = 3491658.946894, lowerbound=1275974.946894, norm of subgrad 1130.118997 dualbound = 3491658.946894, lowerbound=1275974.946894, norm of subgrad 35.357592 stepsize= 1.000000
+dualbound = 3491746.353798, lowerbound=1276157.353798, norm of subgrad 1130.234203 dualbound = 3491746.353798, lowerbound=1276157.353798, norm of subgrad 36.870136 stepsize= 1.000000
+dualbound = 3491797.256540, lowerbound=1276310.256540, norm of subgrad 1130.282379 dualbound = 3491797.256540, lowerbound=1276310.256540, norm of subgrad 35.761750 stepsize= 1.000000
+dualbound = 3491891.358887, lowerbound=1281085.358887, norm of subgrad 1132.409537 dualbound = 3491891.358887, lowerbound=1281085.358887, norm of subgrad 36.879565 stepsize= 1.000000
+dualbound = 3491945.691993, lowerbound=1282437.691993, norm of subgrad 1133.003395 dualbound = 3491945.691993, lowerbound=1282437.691993, norm of subgrad 36.239938 stepsize= 1.000000
+dualbound = 3492029.499455, lowerbound=1270651.499455, norm of subgrad 1127.752411 dualbound = 3492029.499455, lowerbound=1270651.499455, norm of subgrad 35.465581 stepsize= 1.000000
+dualbound = 3492105.929105, lowerbound=1272469.929105, norm of subgrad 1128.577835 dualbound = 3492105.929105, lowerbound=1272469.929105, norm of subgrad 35.978183 stepsize= 1.000000
+dualbound = 3492180.380793, lowerbound=1274701.380793, norm of subgrad 1129.540783 dualbound = 3492180.380793, lowerbound=1274701.380793, norm of subgrad 35.148993 stepsize= 1.000000
+dualbound = 3492276.870389, lowerbound=1278135.870389, norm of subgrad 1131.061833 dualbound = 3492276.870389, lowerbound=1278135.870389, norm of subgrad 35.517455 stepsize= 1.000000
+dualbound = 3492359.747374, lowerbound=1274866.747374, norm of subgrad 1129.606457 dualbound = 3492359.747374, lowerbound=1274866.747374, norm of subgrad 35.026804 stepsize= 1.000000
+dualbound = 3492419.717947, lowerbound=1281619.717947, norm of subgrad 1132.618964 dualbound = 3492419.717947, lowerbound=1281619.717947, norm of subgrad 35.580480 stepsize= 1.000000
+dualbound = 3492467.734091, lowerbound=1273443.734091, norm of subgrad 1129.017597 dualbound = 3492467.734091, lowerbound=1273443.734091, norm of subgrad 35.847122 stepsize= 1.000000
+dualbound = 3492554.306596, lowerbound=1274841.306596, norm of subgrad 1129.647426 dualbound = 3492554.306596, lowerbound=1274841.306596, norm of subgrad 36.722915 stepsize= 1.000000
+dualbound = 3492613.542748, lowerbound=1279236.542748, norm of subgrad 1131.563318 dualbound = 3492613.542748, lowerbound=1279236.542748, norm of subgrad 35.471625 stepsize= 1.000000
+dualbound = 3492706.456049, lowerbound=1274090.456049, norm of subgrad 1129.282718 dualbound = 3492706.456049, lowerbound=1274090.456049, norm of subgrad 35.803817 stepsize= 1.000000
+dualbound = 3492792.841619, lowerbound=1280623.841619, norm of subgrad 1132.178803 dualbound = 3492792.841619, lowerbound=1280623.841619, norm of subgrad 35.935854 stepsize= 1.000000
+dualbound = 3492848.750207, lowerbound=1268971.750207, norm of subgrad 1127.003882 dualbound = 3492848.750207, lowerbound=1268971.750207, norm of subgrad 34.955809 stepsize= 1.000000
+dualbound = 3492964.978253, lowerbound=1281776.978253, norm of subgrad 1132.711339 dualbound = 3492964.978253, lowerbound=1281776.978253, norm of subgrad 37.070582 stepsize= 1.000000
+dualbound = 3493000.359053, lowerbound=1276427.359053, norm of subgrad 1130.326660 dualbound = 3493000.359053, lowerbound=1276427.359053, norm of subgrad 35.304119 stepsize= 1.000000
+dualbound = 3493089.600046, lowerbound=1270165.600046, norm of subgrad 1127.553812 dualbound = 3493089.600046, lowerbound=1270165.600046, norm of subgrad 36.072718 stepsize= 1.000000
+dualbound = 3493144.431931, lowerbound=1276822.431931, norm of subgrad 1130.526175 dualbound = 3493144.431931, lowerbound=1276822.431931, norm of subgrad 36.357006 stepsize= 1.000000
+dualbound = 3493215.847001, lowerbound=1275385.847001, norm of subgrad 1129.913646 dualbound = 3493215.847001, lowerbound=1275385.847001, norm of subgrad 37.288270 stepsize= 1.000000
+dualbound = 3493281.852562, lowerbound=1273153.852562, norm of subgrad 1128.881682 dualbound = 3493281.852562, lowerbound=1273153.852562, norm of subgrad 35.860920 stepsize= 1.000000
+dualbound = 3493399.571506, lowerbound=1276332.571506, norm of subgrad 1130.277652 dualbound = 3493399.571506, lowerbound=1276332.571506, norm of subgrad 36.231463 stepsize= 1.000000
+dualbound = 3493464.569587, lowerbound=1279142.569587, norm of subgrad 1131.504118 dualbound = 3493464.569587, lowerbound=1279142.569587, norm of subgrad 34.985684 stepsize= 1.000000
+dualbound = 3493570.115190, lowerbound=1278334.115190, norm of subgrad 1131.134437 dualbound = 3493570.115190, lowerbound=1278334.115190, norm of subgrad 35.164550 stepsize= 1.000000
+dualbound = 3493621.148082, lowerbound=1280278.148082, norm of subgrad 1132.055718 dualbound = 3493621.148082, lowerbound=1280278.148082, norm of subgrad 36.373519 stepsize= 1.000000
+dualbound = 3493652.853331, lowerbound=1275613.853331, norm of subgrad 1129.981351 dualbound = 3493652.853331, lowerbound=1275613.853331, norm of subgrad 35.717016 stepsize= 1.000000
+dualbound = 3493763.788279, lowerbound=1279656.788279, norm of subgrad 1131.760924 dualbound = 3493763.788279, lowerbound=1279656.788279, norm of subgrad 36.564121 stepsize= 1.000000
+dualbound = 3493813.684435, lowerbound=1275754.684435, norm of subgrad 1130.049417 dualbound = 3493813.684435, lowerbound=1275754.684435, norm of subgrad 36.151019 stepsize= 1.000000
+dualbound = 3493893.236726, lowerbound=1277075.236726, norm of subgrad 1130.639747 dualbound = 3493893.236726, lowerbound=1277075.236726, norm of subgrad 36.749861 stepsize= 1.000000
+dualbound = 3493970.721378, lowerbound=1277920.721378, norm of subgrad 1130.981751 dualbound = 3493970.721378, lowerbound=1277920.721378, norm of subgrad 35.727925 stepsize= 1.000000
+dualbound = 3494075.179336, lowerbound=1277054.179336, norm of subgrad 1130.595055 dualbound = 3494075.179336, lowerbound=1277054.179336, norm of subgrad 35.992471 stepsize= 1.000000
+dualbound = 3494124.413636, lowerbound=1275554.413636, norm of subgrad 1129.932039 dualbound = 3494124.413636, lowerbound=1275554.413636, norm of subgrad 35.231155 stepsize= 1.000000
+dualbound = 3494217.993770, lowerbound=1276888.993770, norm of subgrad 1130.505636 dualbound = 3494217.993770, lowerbound=1276888.993770, norm of subgrad 35.321100 stepsize= 1.000000
+dualbound = 3494290.678584, lowerbound=1279389.678584, norm of subgrad 1131.648213 dualbound = 3494290.678584, lowerbound=1279389.678584, norm of subgrad 36.203381 stepsize= 1.000000
+dualbound = 3494373.330643, lowerbound=1275039.330643, norm of subgrad 1129.681075 dualbound = 3494373.330643, lowerbound=1275039.330643, norm of subgrad 34.966442 stepsize= 1.000000
+dualbound = 3494455.355802, lowerbound=1278375.355802, norm of subgrad 1131.188913 dualbound = 3494455.355802, lowerbound=1278375.355802, norm of subgrad 35.986458 stepsize= 1.000000
+dualbound = 3494534.846980, lowerbound=1272319.846980, norm of subgrad 1128.495834 dualbound = 3494534.846980, lowerbound=1272319.846980, norm of subgrad 35.531552 stepsize= 1.000000
+dualbound = 3494587.734631, lowerbound=1283845.734631, norm of subgrad 1133.632540 dualbound = 3494587.734631, lowerbound=1283845.734631, norm of subgrad 36.467625 stepsize= 1.000000
+dualbound = 3494646.467529, lowerbound=1271881.467529, norm of subgrad 1128.332162 dualbound = 3494646.467529, lowerbound=1271881.467529, norm of subgrad 36.204045 stepsize= 1.000000
+dualbound = 3494744.215860, lowerbound=1278072.215860, norm of subgrad 1131.074364 dualbound = 3494744.215860, lowerbound=1278072.215860, norm of subgrad 36.806906 stepsize= 1.000000
+dualbound = 3494803.062593, lowerbound=1272411.062593, norm of subgrad 1128.566375 dualbound = 3494803.062593, lowerbound=1272411.062593, norm of subgrad 36.191805 stepsize= 1.000000
+dualbound = 3494882.252787, lowerbound=1277711.252787, norm of subgrad 1130.920533 dualbound = 3494882.252787, lowerbound=1277711.252787, norm of subgrad 36.731324 stepsize= 1.000000
+dualbound = 3494960.724533, lowerbound=1271880.724533, norm of subgrad 1128.316766 dualbound = 3494960.724533, lowerbound=1271880.724533, norm of subgrad 36.006551 stepsize= 1.000000
+dualbound = 3495039.420963, lowerbound=1281171.420963, norm of subgrad 1132.436939 dualbound = 3495039.420963, lowerbound=1281171.420963, norm of subgrad 36.341387 stepsize= 1.000000
+dualbound = 3495115.175914, lowerbound=1277789.175914, norm of subgrad 1130.929342 dualbound = 3495115.175914, lowerbound=1277789.175914, norm of subgrad 35.885303 stepsize= 1.000000
+dualbound = 3495185.929464, lowerbound=1278184.929464, norm of subgrad 1131.121094 dualbound = 3495185.929464, lowerbound=1278184.929464, norm of subgrad 36.342173 stepsize= 1.000000
+dualbound = 3495266.241073, lowerbound=1276497.241073, norm of subgrad 1130.355803 dualbound = 3495266.241073, lowerbound=1276497.241073, norm of subgrad 35.879125 stepsize= 1.000000
+dualbound = 3495334.920715, lowerbound=1276141.920715, norm of subgrad 1130.231357 dualbound = 3495334.920715, lowerbound=1276141.920715, norm of subgrad 36.737986 stepsize= 1.000000
+dualbound = 3495400.786587, lowerbound=1270858.786587, norm of subgrad 1127.842980 dualbound = 3495400.786587, lowerbound=1270858.786587, norm of subgrad 35.169104 stepsize= 1.000000
+dualbound = 3495515.288637, lowerbound=1283301.288637, norm of subgrad 1133.380469 dualbound = 3495515.288637, lowerbound=1283301.288637, norm of subgrad 36.939167 stepsize= 1.000000
+dualbound = 3495562.634199, lowerbound=1273655.634199, norm of subgrad 1129.090180 dualbound = 3495562.634199, lowerbound=1273655.634199, norm of subgrad 35.161706 stepsize= 1.000000
+dualbound = 3495658.848744, lowerbound=1274585.848744, norm of subgrad 1129.502921 dualbound = 3495658.848744, lowerbound=1274585.848744, norm of subgrad 35.877772 stepsize= 1.000000
+dualbound = 3495739.658177, lowerbound=1273119.658177, norm of subgrad 1128.858121 dualbound = 3495739.658177, lowerbound=1273119.658177, norm of subgrad 35.802366 stepsize= 1.000000
+dualbound = 3495796.866362, lowerbound=1281128.866362, norm of subgrad 1132.411527 dualbound = 3495796.866362, lowerbound=1281128.866362, norm of subgrad 35.835851 stepsize= 1.000000
+dualbound = 3495879.802698, lowerbound=1279614.802698, norm of subgrad 1131.760930 dualbound = 3495879.802698, lowerbound=1279614.802698, norm of subgrad 36.755086 stepsize= 1.000000
+dualbound = 3495937.751862, lowerbound=1278033.751862, norm of subgrad 1131.051171 dualbound = 3495937.751862, lowerbound=1278033.751862, norm of subgrad 36.068673 stepsize= 1.000000
+dualbound = 3496007.506519, lowerbound=1275423.506519, norm of subgrad 1129.904202 dualbound = 3496007.506519, lowerbound=1275423.506519, norm of subgrad 36.465801 stepsize= 1.000000
+dualbound = 3496101.206759, lowerbound=1279707.206759, norm of subgrad 1131.786732 dualbound = 3496101.206759, lowerbound=1279707.206759, norm of subgrad 36.437621 stepsize= 1.000000
+dualbound = 3496198.911445, lowerbound=1277325.911445, norm of subgrad 1130.705493 dualbound = 3496198.911445, lowerbound=1277325.911445, norm of subgrad 35.590795 stepsize= 1.000000
+dualbound = 3496256.066035, lowerbound=1283240.066035, norm of subgrad 1133.351254 dualbound = 3496256.066035, lowerbound=1283240.066035, norm of subgrad 36.085379 stepsize= 1.000000
+dualbound = 3496297.018265, lowerbound=1277665.018265, norm of subgrad 1130.881965 dualbound = 3496297.018265, lowerbound=1277665.018265, norm of subgrad 35.636389 stepsize= 1.000000
+dualbound = 3496406.380311, lowerbound=1279793.380311, norm of subgrad 1131.806689 dualbound = 3496406.380311, lowerbound=1279793.380311, norm of subgrad 36.088254 stepsize= 1.000000
+dualbound = 3496460.351114, lowerbound=1274572.351114, norm of subgrad 1129.493847 dualbound = 3496460.351114, lowerbound=1274572.351114, norm of subgrad 35.184809 stepsize= 1.000000
+dualbound = 3496551.675545, lowerbound=1276047.675545, norm of subgrad 1130.133034 dualbound = 3496551.675545, lowerbound=1276047.675545, norm of subgrad 35.274983 stepsize= 1.000000
+dualbound = 3496645.803457, lowerbound=1278217.803457, norm of subgrad 1131.085233 dualbound = 3496645.803457, lowerbound=1278217.803457, norm of subgrad 35.073179 stepsize= 1.000000
+dualbound = 3496709.698901, lowerbound=1280823.698901, norm of subgrad 1132.241449 dualbound = 3496709.698901, lowerbound=1280823.698901, norm of subgrad 34.797923 stepsize= 1.000000
+dualbound = 3496773.011738, lowerbound=1274728.011738, norm of subgrad 1129.592410 dualbound = 3496773.011738, lowerbound=1274728.011738, norm of subgrad 36.253453 stepsize= 1.000000
+dualbound = 3496803.457915, lowerbound=1275532.457915, norm of subgrad 1129.928519 dualbound = 3496803.457915, lowerbound=1275532.457915, norm of subgrad 35.163137 stepsize= 1.000000
+dualbound = 3496928.970271, lowerbound=1280025.970271, norm of subgrad 1131.901043 dualbound = 3496928.970271, lowerbound=1280025.970271, norm of subgrad 36.048750 stepsize= 1.000000
+dualbound = 3496990.896154, lowerbound=1273797.896154, norm of subgrad 1129.182844 dualbound = 3496990.896154, lowerbound=1273797.896154, norm of subgrad 36.303249 stepsize= 1.000000
+dualbound = 3497053.718802, lowerbound=1275423.718802, norm of subgrad 1129.919342 dualbound = 3497053.718802, lowerbound=1275423.718802, norm of subgrad 36.835074 stepsize= 1.000000
+dualbound = 3497115.584595, lowerbound=1275286.584595, norm of subgrad 1129.834760 dualbound = 3497115.584595, lowerbound=1275286.584595, norm of subgrad 36.081377 stepsize= 1.000000
+dualbound = 3497210.493201, lowerbound=1275975.493201, norm of subgrad 1130.134281 dualbound = 3497210.493201, lowerbound=1275975.493201, norm of subgrad 36.371811 stepsize= 1.000000
+dualbound = 3497294.078573, lowerbound=1277226.078573, norm of subgrad 1130.664883 dualbound = 3497294.078573, lowerbound=1277226.078573, norm of subgrad 35.504723 stepsize= 1.000000
+dualbound = 3497365.250899, lowerbound=1279862.250899, norm of subgrad 1131.838439 dualbound = 3497365.250899, lowerbound=1279862.250899, norm of subgrad 35.597364 stepsize= 1.000000
+dualbound = 3497453.823658, lowerbound=1279131.823658, norm of subgrad 1131.519697 dualbound = 3497453.823658, lowerbound=1279131.823658, norm of subgrad 35.966273 stepsize= 1.000000
+dualbound = 3497522.753702, lowerbound=1279335.753702, norm of subgrad 1131.607155 dualbound = 3497522.753702, lowerbound=1279335.753702, norm of subgrad 35.608005 stepsize= 1.000000
+dualbound = 3497593.805803, lowerbound=1276840.805803, norm of subgrad 1130.499361 dualbound = 3497593.805803, lowerbound=1276840.805803, norm of subgrad 35.483124 stepsize= 1.000000
+dualbound = 3497663.791455, lowerbound=1273667.791455, norm of subgrad 1129.076079 dualbound = 3497663.791455, lowerbound=1273667.791455, norm of subgrad 34.856644 stepsize= 1.000000
+dualbound = 3497755.443124, lowerbound=1277825.443124, norm of subgrad 1130.928576 dualbound = 3497755.443124, lowerbound=1277825.443124, norm of subgrad 35.575999 stepsize= 1.000000
+dualbound = 3497816.326139, lowerbound=1277280.326139, norm of subgrad 1130.697274 dualbound = 3497816.326139, lowerbound=1277280.326139, norm of subgrad 35.452546 stepsize= 1.000000
+dualbound = 3497860.252553, lowerbound=1281135.252553, norm of subgrad 1132.419204 dualbound = 3497860.252553, lowerbound=1281135.252553, norm of subgrad 35.804000 stepsize= 1.000000
+dualbound = 3497961.913163, lowerbound=1275799.913163, norm of subgrad 1130.038456 dualbound = 3497961.913163, lowerbound=1275799.913163, norm of subgrad 35.897919 stepsize= 1.000000
+dualbound = 3498029.547973, lowerbound=1277018.547973, norm of subgrad 1130.592123 dualbound = 3498029.547973, lowerbound=1277018.547973, norm of subgrad 35.883629 stepsize= 1.000000
+dualbound = 3498107.645973, lowerbound=1273852.645973, norm of subgrad 1129.204873 dualbound = 3498107.645973, lowerbound=1273852.645973, norm of subgrad 36.456796 stepsize= 1.000000
+dualbound = 3498178.762351, lowerbound=1277599.762351, norm of subgrad 1130.869472 dualbound = 3498178.762351, lowerbound=1277599.762351, norm of subgrad 36.566602 stepsize= 1.000000
+dualbound = 3498231.694498, lowerbound=1275512.694498, norm of subgrad 1129.948536 dualbound = 3498231.694498, lowerbound=1275512.694498, norm of subgrad 36.385878 stepsize= 1.000000
+dualbound = 3498334.228505, lowerbound=1282746.228505, norm of subgrad 1133.130279 dualbound = 3498334.228505, lowerbound=1282746.228505, norm of subgrad 36.613304 stepsize= 1.000000
+dualbound = 3498402.072843, lowerbound=1276016.072843, norm of subgrad 1130.147368 dualbound = 3498402.072843, lowerbound=1276016.072843, norm of subgrad 35.844725 stepsize= 1.000000
+dualbound = 3498502.450989, lowerbound=1286155.450989, norm of subgrad 1134.623925 dualbound = 3498502.450989, lowerbound=1286155.450989, norm of subgrad 36.281926 stepsize= 1.000000
+dualbound = 3498551.717768, lowerbound=1274657.717768, norm of subgrad 1129.597591 dualbound = 3498551.717768, lowerbound=1274657.717768, norm of subgrad 37.178849 stepsize= 1.000000
+dualbound = 3498610.631544, lowerbound=1275892.631544, norm of subgrad 1130.136554 dualbound = 3498610.631544, lowerbound=1275892.631544, norm of subgrad 37.079830 stepsize= 1.000000
+dualbound = 3498695.172255, lowerbound=1278875.172255, norm of subgrad 1131.445170 dualbound = 3498695.172255, lowerbound=1278875.172255, norm of subgrad 37.115236 stepsize= 1.000000
+dualbound = 3498789.023765, lowerbound=1276287.023765, norm of subgrad 1130.280507 dualbound = 3498789.023765, lowerbound=1276287.023765, norm of subgrad 36.617639 stepsize= 1.000000
+dualbound = 3498850.344669, lowerbound=1276749.344669, norm of subgrad 1130.488542 dualbound = 3498850.344669, lowerbound=1276749.344669, norm of subgrad 36.281137 stepsize= 1.000000
+dualbound = 3498935.170659, lowerbound=1280694.170659, norm of subgrad 1132.198380 dualbound = 3498935.170659, lowerbound=1280694.170659, norm of subgrad 35.550330 stepsize= 1.000000
+dualbound = 3499016.412986, lowerbound=1276396.412986, norm of subgrad 1130.310317 dualbound = 3499016.412986, lowerbound=1276396.412986, norm of subgrad 35.864221 stepsize= 1.000000
+dualbound = 3499094.918897, lowerbound=1276478.918897, norm of subgrad 1130.344159 dualbound = 3499094.918897, lowerbound=1276478.918897, norm of subgrad 35.742215 stepsize= 1.000000
+dualbound = 3499138.719043, lowerbound=1277690.719043, norm of subgrad 1130.867242 dualbound = 3499138.719043, lowerbound=1277690.719043, norm of subgrad 34.839635 stepsize= 1.000000
+dualbound = 3499260.499527, lowerbound=1273757.499527, norm of subgrad 1129.121118 dualbound = 3499260.499527, lowerbound=1273757.499527, norm of subgrad 35.760040 stepsize= 1.000000
+dualbound = 3499298.023895, lowerbound=1280703.023895, norm of subgrad 1132.230111 dualbound = 3499298.023895, lowerbound=1280703.023895, norm of subgrad 35.770440 stepsize= 1.000000
+dualbound = 3499382.791702, lowerbound=1275493.791702, norm of subgrad 1129.919374 dualbound = 3499382.791702, lowerbound=1275493.791702, norm of subgrad 36.176896 stepsize= 1.000000
+dualbound = 3499436.532086, lowerbound=1277390.532086, norm of subgrad 1130.787129 dualbound = 3499436.532086, lowerbound=1277390.532086, norm of subgrad 36.643422 stepsize= 1.000000
+dualbound = 3499542.815740, lowerbound=1284607.815740, norm of subgrad 1133.957149 dualbound = 3499542.815740, lowerbound=1284607.815740, norm of subgrad 36.841331 stepsize= 1.000000
+dualbound = 3499597.031143, lowerbound=1276332.031143, norm of subgrad 1130.280952 dualbound = 3499597.031143, lowerbound=1276332.031143, norm of subgrad 35.457233 stepsize= 1.000000
+dualbound = 3499689.296035, lowerbound=1273851.296035, norm of subgrad 1129.169737 dualbound = 3499689.296035, lowerbound=1273851.296035, norm of subgrad 35.570562 stepsize= 1.000000
+dualbound = 3499769.234920, lowerbound=1279146.234920, norm of subgrad 1131.527832 dualbound = 3499769.234920, lowerbound=1279146.234920, norm of subgrad 35.901795 stepsize= 1.000000
+dualbound = 3499853.617005, lowerbound=1276528.617005, norm of subgrad 1130.377644 dualbound = 3499853.617005, lowerbound=1276528.617005, norm of subgrad 36.185385 stepsize= 1.000000
+dualbound = 3499904.339612, lowerbound=1278243.339612, norm of subgrad 1131.133210 dualbound = 3499904.339612, lowerbound=1278243.339612, norm of subgrad 35.633167 stepsize= 1.000000
+dualbound = 3499994.371913, lowerbound=1276006.371913, norm of subgrad 1130.151482 dualbound = 3499994.371913, lowerbound=1276006.371913, norm of subgrad 36.414726 stepsize= 1.000000
+dualbound = 3500069.089072, lowerbound=1273103.089072, norm of subgrad 1128.841924 dualbound = 3500069.089072, lowerbound=1273103.089072, norm of subgrad 35.436100 stepsize= 1.000000
+dualbound = 3500153.950314, lowerbound=1282920.950314, norm of subgrad 1133.180458 dualbound = 3500153.950314, lowerbound=1282920.950314, norm of subgrad 35.522686 stepsize= 1.000000
+dualbound = 3500232.196358, lowerbound=1278248.196358, norm of subgrad 1131.140220 dualbound = 3500232.196358, lowerbound=1278248.196358, norm of subgrad 36.169684 stepsize= 1.000000
+dualbound = 3500292.700127, lowerbound=1279921.700127, norm of subgrad 1131.868676 dualbound = 3500292.700127, lowerbound=1279921.700127, norm of subgrad 35.573920 stepsize= 1.000000
+dualbound = 3500374.650030, lowerbound=1273340.650030, norm of subgrad 1128.962200 dualbound = 3500374.650030, lowerbound=1273340.650030, norm of subgrad 36.013191 stepsize= 1.000000
+dualbound = 3500426.864244, lowerbound=1278522.864244, norm of subgrad 1131.274442 dualbound = 3500426.864244, lowerbound=1278522.864244, norm of subgrad 36.210692 stepsize= 1.000000
+dualbound = 3500502.778236, lowerbound=1278656.778236, norm of subgrad 1131.305785 dualbound = 3500502.778236, lowerbound=1278656.778236, norm of subgrad 35.663903 stepsize= 1.000000
+dualbound = 3500580.509233, lowerbound=1280017.509233, norm of subgrad 1131.929110 dualbound = 3500580.509233, lowerbound=1280017.509233, norm of subgrad 36.383114 stepsize= 1.000000
+dualbound = 3500653.305901, lowerbound=1276252.305901, norm of subgrad 1130.256301 dualbound = 3500653.305901, lowerbound=1276252.305901, norm of subgrad 36.052693 stepsize= 1.000000
+dualbound = 3500742.458300, lowerbound=1274090.458301, norm of subgrad 1129.297329 dualbound = 3500742.458300, lowerbound=1274090.458301, norm of subgrad 36.209838 stepsize= 1.000000
+dualbound = 3500806.039409, lowerbound=1283265.039409, norm of subgrad 1133.353007 dualbound = 3500806.039409, lowerbound=1283265.039409, norm of subgrad 35.882880 stepsize= 1.000000
+dualbound = 3500897.073714, lowerbound=1276380.073714, norm of subgrad 1130.288049 dualbound = 3500897.073714, lowerbound=1276380.073714, norm of subgrad 35.525122 stepsize= 1.000000
+dualbound = 3500979.428674, lowerbound=1277575.428674, norm of subgrad 1130.821130 dualbound = 3500979.428674, lowerbound=1277575.428674, norm of subgrad 35.543705 stepsize= 1.000000
+dualbound = 3501035.423949, lowerbound=1275447.423949, norm of subgrad 1129.856816 dualbound = 3501035.423949, lowerbound=1275447.423949, norm of subgrad 34.423760 stepsize= 1.000000
+dualbound = 3501154.233239, lowerbound=1282639.233239, norm of subgrad 1133.066297 dualbound = 3501154.233239, lowerbound=1282639.233239, norm of subgrad 36.315414 stepsize= 1.000000
+dualbound = 3501172.432484, lowerbound=1274882.432484, norm of subgrad 1129.642613 dualbound = 3501172.432484, lowerbound=1274882.432484, norm of subgrad 35.045674 stepsize= 1.000000
+dualbound = 3501264.039223, lowerbound=1278101.039223, norm of subgrad 1131.080474 dualbound = 3501264.039223, lowerbound=1278101.039223, norm of subgrad 36.518581 stepsize= 1.000000
+dualbound = 3501339.938609, lowerbound=1273061.938609, norm of subgrad 1128.842300 dualbound = 3501339.938609, lowerbound=1273061.938609, norm of subgrad 36.040247 stepsize= 1.000000
+dualbound = 3501399.318997, lowerbound=1280078.318997, norm of subgrad 1131.955087 dualbound = 3501399.318997, lowerbound=1280078.318997, norm of subgrad 36.102360 stepsize= 1.000000
+dualbound = 3501476.799230, lowerbound=1277216.799230, norm of subgrad 1130.705001 dualbound = 3501476.799230, lowerbound=1277216.799230, norm of subgrad 36.803264 stepsize= 1.000000
+dualbound = 3501541.829542, lowerbound=1282415.829542, norm of subgrad 1132.999042 dualbound = 3501541.829542, lowerbound=1282415.829542, norm of subgrad 36.551748 stepsize= 1.000000
+dualbound = 3501605.069608, lowerbound=1281676.069608, norm of subgrad 1132.664588 dualbound = 3501605.069608, lowerbound=1281676.069608, norm of subgrad 36.280023 stepsize= 1.000000
+dualbound = 3501686.497703, lowerbound=1271213.497703, norm of subgrad 1128.034795 dualbound = 3501686.497703, lowerbound=1271213.497703, norm of subgrad 36.475034 stepsize= 1.000000
+dualbound = 3501762.860594, lowerbound=1280420.860594, norm of subgrad 1132.104616 dualbound = 3501762.860594, lowerbound=1280420.860594, norm of subgrad 36.281716 stepsize= 1.000000
+dualbound = 3501860.486608, lowerbound=1272763.486608, norm of subgrad 1128.695923 dualbound = 3501860.486608, lowerbound=1272763.486608, norm of subgrad 35.897437 stepsize= 1.000000
+dualbound = 3501916.216485, lowerbound=1277069.216485, norm of subgrad 1130.603917 dualbound = 3501916.216485, lowerbound=1277069.216485, norm of subgrad 35.379795 stepsize= 1.000000
+dualbound = 3501994.877221, lowerbound=1277863.877221, norm of subgrad 1130.959715 dualbound = 3501994.877221, lowerbound=1277863.877221, norm of subgrad 35.842164 stepsize= 1.000000
+dualbound = 3502086.331422, lowerbound=1282762.331422, norm of subgrad 1133.110909 dualbound = 3502086.331422, lowerbound=1282762.331422, norm of subgrad 35.629401 stepsize= 1.000000
+dualbound = 3502163.488212, lowerbound=1276596.488212, norm of subgrad 1130.394837 dualbound = 3502163.488212, lowerbound=1276596.488212, norm of subgrad 35.681323 stepsize= 1.000000
+dualbound = 3502229.626196, lowerbound=1281816.626196, norm of subgrad 1132.676311 dualbound = 3502229.626196, lowerbound=1281816.626196, norm of subgrad 34.715097 stepsize= 1.000000
+dualbound = 3502311.433988, lowerbound=1278138.433988, norm of subgrad 1131.089932 dualbound = 3502311.433988, lowerbound=1278138.433988, norm of subgrad 36.163625 stepsize= 1.000000
+dualbound = 3502367.408634, lowerbound=1277270.408634, norm of subgrad 1130.698195 dualbound = 3502367.408634, lowerbound=1277270.408634, norm of subgrad 35.552421 stepsize= 1.000000
+dualbound = 3502436.694334, lowerbound=1275529.694334, norm of subgrad 1129.928624 dualbound = 3502436.694334, lowerbound=1275529.694334, norm of subgrad 35.753122 stepsize= 1.000000
+dualbound = 3502525.361773, lowerbound=1281493.361773, norm of subgrad 1132.531395 dualbound = 3502525.361773, lowerbound=1281493.361773, norm of subgrad 34.966662 stepsize= 1.000000
+dualbound = 3502597.518573, lowerbound=1280197.518573, norm of subgrad 1131.986978 dualbound = 3502597.518573, lowerbound=1280197.518573, norm of subgrad 35.625227 stepsize= 1.000000
+dualbound = 3502672.060161, lowerbound=1278180.060161, norm of subgrad 1131.115847 dualbound = 3502672.060161, lowerbound=1278180.060161, norm of subgrad 36.297956 stepsize= 1.000000
+dualbound = 3502732.501036, lowerbound=1281253.501036, norm of subgrad 1132.454194 dualbound = 3502732.501036, lowerbound=1281253.501036, norm of subgrad 35.488602 stepsize= 1.000000
+dualbound = 3502780.160417, lowerbound=1273433.160417, norm of subgrad 1129.035943 dualbound = 3502780.160417, lowerbound=1273433.160417, norm of subgrad 36.560353 stepsize= 1.000000
+dualbound = 3502870.728037, lowerbound=1275073.728037, norm of subgrad 1129.722855 dualbound = 3502870.728037, lowerbound=1275073.728037, norm of subgrad 35.924471 stepsize= 1.000000
+dualbound = 3502954.339224, lowerbound=1278339.339224, norm of subgrad 1131.207028 dualbound = 3502954.339224, lowerbound=1278339.339224, norm of subgrad 37.062261 stepsize= 1.000000
+dualbound = 3503010.744613, lowerbound=1273325.744613, norm of subgrad 1128.971100 dualbound = 3503010.744613, lowerbound=1273325.744613, norm of subgrad 36.144230 stepsize= 1.000000
+dualbound = 3503081.942885, lowerbound=1277445.942885, norm of subgrad 1130.810304 dualbound = 3503081.942885, lowerbound=1277445.942885, norm of subgrad 36.840172 stepsize= 1.000000
+dualbound = 3503183.023876, lowerbound=1278512.023876, norm of subgrad 1131.246668 dualbound = 3503183.023876, lowerbound=1278512.023876, norm of subgrad 36.167402 stepsize= 1.000000
+dualbound = 3503267.411171, lowerbound=1285601.411171, norm of subgrad 1134.381951 dualbound = 3503267.411171, lowerbound=1285601.411171, norm of subgrad 36.130144 stepsize= 1.000000
+dualbound = 3503345.354861, lowerbound=1270490.354861, norm of subgrad 1127.720867 dualbound = 3503345.354861, lowerbound=1270490.354861, norm of subgrad 36.632550 stepsize= 1.000000
+dualbound = 3503382.810196, lowerbound=1277616.810196, norm of subgrad 1130.906632 dualbound = 3503382.810196, lowerbound=1277616.810196, norm of subgrad 37.019661 stepsize= 1.000000
+dualbound = 3503457.154411, lowerbound=1273269.154411, norm of subgrad 1128.981911 dualbound = 3503457.154411, lowerbound=1273269.154411, norm of subgrad 37.487921 stepsize= 1.000000
+dualbound = 3503541.368256, lowerbound=1282014.368256, norm of subgrad 1132.807295 dualbound = 3503541.368256, lowerbound=1282014.368256, norm of subgrad 36.362259 stepsize= 1.000000
+dualbound = 3503628.092147, lowerbound=1275497.092147, norm of subgrad 1129.906674 dualbound = 3503628.092147, lowerbound=1275497.092147, norm of subgrad 35.759249 stepsize= 1.000000
+dualbound = 3503708.763720, lowerbound=1276852.763720, norm of subgrad 1130.506419 dualbound = 3503708.763720, lowerbound=1276852.763720, norm of subgrad 35.674523 stepsize= 1.000000
+dualbound = 3503789.416970, lowerbound=1277858.416970, norm of subgrad 1130.940501 dualbound = 3503789.416970, lowerbound=1277858.416970, norm of subgrad 35.336288 stepsize= 1.000000
+dualbound = 3503841.422947, lowerbound=1279596.422947, norm of subgrad 1131.744858 dualbound = 3503841.422947, lowerbound=1279596.422947, norm of subgrad 36.083320 stepsize= 1.000000
+dualbound = 3503913.556905, lowerbound=1278546.556906, norm of subgrad 1131.257069 dualbound = 3503913.556905, lowerbound=1278546.556906, norm of subgrad 35.610869 stepsize= 1.000000
+dualbound = 3504009.082246, lowerbound=1278306.082246, norm of subgrad 1131.162271 dualbound = 3504009.082246, lowerbound=1278306.082246, norm of subgrad 36.297732 stepsize= 1.000000
+dualbound = 3504060.276212, lowerbound=1273703.276212, norm of subgrad 1129.097549 dualbound = 3504060.276212, lowerbound=1273703.276212, norm of subgrad 34.773466 stepsize= 1.000000
+dualbound = 3504157.899734, lowerbound=1276664.899734, norm of subgrad 1130.434385 dualbound = 3504157.899734, lowerbound=1276664.899734, norm of subgrad 36.257737 stepsize= 1.000000
+dualbound = 3504209.209971, lowerbound=1277964.209971, norm of subgrad 1131.014682 dualbound = 3504209.209971, lowerbound=1277964.209971, norm of subgrad 35.795394 stepsize= 1.000000
+dualbound = 3504277.643726, lowerbound=1282054.643726, norm of subgrad 1132.825955 dualbound = 3504277.643726, lowerbound=1282054.643726, norm of subgrad 36.172279 stepsize= 1.000000
+dualbound = 3504349.578573, lowerbound=1280625.578573, norm of subgrad 1132.211367 dualbound = 3504349.578573, lowerbound=1280625.578573, norm of subgrad 36.727848 stepsize= 1.000000
+dualbound = 3504422.570187, lowerbound=1277877.570187, norm of subgrad 1130.949411 dualbound = 3504422.570187, lowerbound=1277877.570187, norm of subgrad 35.241901 stepsize= 1.000000
+dualbound = 3504527.054542, lowerbound=1272054.054542, norm of subgrad 1128.379393 dualbound = 3504527.054542, lowerbound=1272054.054542, norm of subgrad 35.923312 stepsize= 1.000000
+dualbound = 3504576.023133, lowerbound=1279933.023133, norm of subgrad 1131.913434 dualbound = 3504576.023133, lowerbound=1279933.023133, norm of subgrad 36.660177 stepsize= 1.000000
+dualbound = 3504673.368317, lowerbound=1279069.368317, norm of subgrad 1131.473980 dualbound = 3504673.368317, lowerbound=1279069.368317, norm of subgrad 35.515422 stepsize= 1.000000
+dualbound = 3504731.522116, lowerbound=1279805.522116, norm of subgrad 1131.818679 dualbound = 3504731.522116, lowerbound=1279805.522116, norm of subgrad 35.583055 stepsize= 1.000000
+dualbound = 3504809.185177, lowerbound=1277490.185177, norm of subgrad 1130.791840 dualbound = 3504809.185177, lowerbound=1277490.185177, norm of subgrad 35.744413 stepsize= 1.000000
+dualbound = 3504889.545438, lowerbound=1279644.545438, norm of subgrad 1131.734309 dualbound = 3504889.545438, lowerbound=1279644.545438, norm of subgrad 35.473374 stepsize= 1.000000
+dualbound = 3504962.429475, lowerbound=1282242.429475, norm of subgrad 1132.890740 dualbound = 3504962.429475, lowerbound=1282242.429475, norm of subgrad 35.663483 stepsize= 1.000000
+dualbound = 3505012.686025, lowerbound=1275437.686025, norm of subgrad 1129.902069 dualbound = 3505012.686025, lowerbound=1275437.686025, norm of subgrad 35.934058 stepsize= 1.000000
+dualbound = 3505111.911995, lowerbound=1275220.911995, norm of subgrad 1129.804369 dualbound = 3505111.911995, lowerbound=1275220.911995, norm of subgrad 36.554425 stepsize= 1.000000
+dualbound = 3505148.507331, lowerbound=1286111.507331, norm of subgrad 1134.623509 dualbound = 3505148.507331, lowerbound=1286111.507331, norm of subgrad 35.994379 stepsize= 1.000000
+dualbound = 3505246.312562, lowerbound=1279604.312562, norm of subgrad 1131.722719 dualbound = 3505246.312562, lowerbound=1279604.312562, norm of subgrad 35.913858 stepsize= 1.000000
+dualbound = 3505343.161121, lowerbound=1284872.161121, norm of subgrad 1134.045044 dualbound = 3505343.161121, lowerbound=1284872.161121, norm of subgrad 35.816875 stepsize= 1.000000
+dualbound = 3505400.640090, lowerbound=1275399.640090, norm of subgrad 1129.879038 dualbound = 3505400.640090, lowerbound=1275399.640090, norm of subgrad 35.839628 stepsize= 1.000000
+dualbound = 3505455.907092, lowerbound=1282442.907092, norm of subgrad 1132.985396 dualbound = 3505455.907092, lowerbound=1282442.907092, norm of subgrad 35.612737 stepsize= 1.000000
+dualbound = 3505545.076693, lowerbound=1275147.076693, norm of subgrad 1129.739827 dualbound = 3505545.076693, lowerbound=1275147.076693, norm of subgrad 35.414257 stepsize= 1.000000
+dualbound = 3505638.571340, lowerbound=1280330.571340, norm of subgrad 1131.996719 dualbound = 3505638.571340, lowerbound=1280330.571340, norm of subgrad 34.343772 stepsize= 1.000000
+dualbound = 3505718.636319, lowerbound=1273642.636319, norm of subgrad 1129.082210 dualbound = 3505718.636319, lowerbound=1273642.636319, norm of subgrad 35.553691 stepsize= 1.000000
+dualbound = 3505756.677246, lowerbound=1280229.677246, norm of subgrad 1132.003391 dualbound = 3505756.677246, lowerbound=1280229.677246, norm of subgrad 35.214215 stepsize= 1.000000
+dualbound = 3505831.352225, lowerbound=1278268.352225, norm of subgrad 1131.169904 dualbound = 3505831.352225, lowerbound=1278268.352225, norm of subgrad 36.765133 stepsize= 1.000000
+dualbound = 3505882.892905, lowerbound=1278772.892905, norm of subgrad 1131.403506 dualbound = 3505882.892905, lowerbound=1278772.892905, norm of subgrad 36.776904 stepsize= 1.000000
+dualbound = 3505972.288669, lowerbound=1279071.288669, norm of subgrad 1131.486318 dualbound = 3505972.288669, lowerbound=1279071.288669, norm of subgrad 35.768642 stepsize= 1.000000
+dualbound = 3506068.824914, lowerbound=1282098.824914, norm of subgrad 1132.816324 dualbound = 3506068.824914, lowerbound=1282098.824914, norm of subgrad 35.644582 stepsize= 1.000000
+dualbound = 3506111.202735, lowerbound=1278213.202735, norm of subgrad 1131.129172 dualbound = 3506111.202735, lowerbound=1278213.202735, norm of subgrad 35.810303 stepsize= 1.000000
+dualbound = 3506187.070957, lowerbound=1282422.070957, norm of subgrad 1132.972670 dualbound = 3506187.070957, lowerbound=1282422.070957, norm of subgrad 35.789219 stepsize= 1.000000
+dualbound = 3506276.779794, lowerbound=1276392.779794, norm of subgrad 1130.313576 dualbound = 3506276.779794, lowerbound=1276392.779794, norm of subgrad 36.134593 stepsize= 1.000000
+dualbound = 3506342.347023, lowerbound=1278645.347023, norm of subgrad 1131.330786 dualbound = 3506342.347023, lowerbound=1278645.347023, norm of subgrad 36.463231 stepsize= 1.000000
+dualbound = 3506396.268407, lowerbound=1277745.268407, norm of subgrad 1130.923635 dualbound = 3506396.268407, lowerbound=1277745.268407, norm of subgrad 36.012795 stepsize= 1.000000
+dualbound = 3506493.285607, lowerbound=1279954.285607, norm of subgrad 1131.912225 dualbound = 3506493.285607, lowerbound=1279954.285607, norm of subgrad 36.986717 stepsize= 1.000000
+dualbound = 3506548.270713, lowerbound=1277624.270713, norm of subgrad 1130.872349 dualbound = 3506548.270713, lowerbound=1277624.270713, norm of subgrad 36.096885 stepsize= 1.000000
+dualbound = 3506627.854293, lowerbound=1281588.854293, norm of subgrad 1132.654340 dualbound = 3506627.854293, lowerbound=1281588.854293, norm of subgrad 37.370892 stepsize= 1.000000
+dualbound = 3506693.014256, lowerbound=1275826.014256, norm of subgrad 1130.045138 dualbound = 3506693.014256, lowerbound=1275826.014256, norm of subgrad 35.230100 stepsize= 1.000000
+dualbound = 3506793.422041, lowerbound=1279551.422041, norm of subgrad 1131.707746 dualbound = 3506793.422041, lowerbound=1279551.422041, norm of subgrad 36.213365 stepsize= 1.000000
+dualbound = 3506853.256735, lowerbound=1277752.256735, norm of subgrad 1130.895334 dualbound = 3506853.256735, lowerbound=1277752.256735, norm of subgrad 35.097503 stepsize= 1.000000
+dualbound = 3506931.503856, lowerbound=1288167.503856, norm of subgrad 1135.524330 dualbound = 3506931.503856, lowerbound=1288167.503856, norm of subgrad 36.417676 stepsize= 1.000000
+dualbound = 3506971.147625, lowerbound=1274623.147625, norm of subgrad 1129.569452 dualbound = 3506971.147625, lowerbound=1274623.147625, norm of subgrad 36.655747 stepsize= 1.000000
+dualbound = 3507053.271624, lowerbound=1287234.271624, norm of subgrad 1135.082936 dualbound = 3507053.271624, lowerbound=1287234.271624, norm of subgrad 35.512308 stepsize= 1.000000
+dualbound = 3507167.779582, lowerbound=1273441.779582, norm of subgrad 1128.985288 dualbound = 3507167.779582, lowerbound=1273441.779582, norm of subgrad 35.784186 stepsize= 1.000000
+dualbound = 3507233.214403, lowerbound=1282765.214403, norm of subgrad 1133.108651 dualbound = 3507233.214403, lowerbound=1282765.214403, norm of subgrad 35.148753 stepsize= 1.000000
+dualbound = 3507283.969444, lowerbound=1277210.969444, norm of subgrad 1130.690041 dualbound = 3507283.969444, lowerbound=1277210.969444, norm of subgrad 36.052116 stepsize= 1.000000
+dualbound = 3507361.835358, lowerbound=1284209.835358, norm of subgrad 1133.762248 dualbound = 3507361.835358, lowerbound=1284209.835358, norm of subgrad 35.845026 stepsize= 1.000000
+dualbound = 3507436.385162, lowerbound=1274774.385162, norm of subgrad 1129.604083 dualbound = 3507436.385162, lowerbound=1274774.385162, norm of subgrad 36.132393 stepsize= 1.000000
+dualbound = 3507513.285976, lowerbound=1280017.285976, norm of subgrad 1131.883513 dualbound = 3507513.285976, lowerbound=1280017.285976, norm of subgrad 34.927079 stepsize= 1.000000
+dualbound = 3507603.386015, lowerbound=1276040.386015, norm of subgrad 1130.143967 dualbound = 3507603.386015, lowerbound=1276040.386015, norm of subgrad 35.708543 stepsize= 1.000000
+dualbound = 3507653.919614, lowerbound=1284005.919614, norm of subgrad 1133.693045 dualbound = 3507653.919614, lowerbound=1284005.919614, norm of subgrad 36.118328 stepsize= 1.000000
+dualbound = 3507719.528513, lowerbound=1274783.528513, norm of subgrad 1129.616098 dualbound = 3507719.528513, lowerbound=1274783.528513, norm of subgrad 36.257536 stepsize= 1.000000
+dualbound = 3507815.790948, lowerbound=1278888.790948, norm of subgrad 1131.389319 dualbound = 3507815.790948, lowerbound=1278888.790948, norm of subgrad 35.344907 stepsize= 1.000000
+dualbound = 3507880.843665, lowerbound=1280878.843665, norm of subgrad 1132.323648 dualbound = 3507880.843665, lowerbound=1280878.843665, norm of subgrad 36.647684 stepsize= 1.000000
+dualbound = 3507944.814811, lowerbound=1281554.814811, norm of subgrad 1132.596051 dualbound = 3507944.814811, lowerbound=1281554.814811, norm of subgrad 35.818587 stepsize= 1.000000
+dualbound = 3508025.392625, lowerbound=1277500.392625, norm of subgrad 1130.803428 dualbound = 3508025.392625, lowerbound=1277500.392625, norm of subgrad 36.008024 stepsize= 1.000000
+dualbound = 3508089.477759, lowerbound=1281716.477759, norm of subgrad 1132.669183 dualbound = 3508089.477759, lowerbound=1281716.477759, norm of subgrad 35.875969 stepsize= 1.000000
+dualbound = 3508154.590697, lowerbound=1278823.590697, norm of subgrad 1131.376414 dualbound = 3508154.590697, lowerbound=1278823.590697, norm of subgrad 35.413457 stepsize= 1.000000
+dualbound = 3508245.762532, lowerbound=1283381.762532, norm of subgrad 1133.378473 dualbound = 3508245.762532, lowerbound=1283381.762532, norm of subgrad 35.442515 stepsize= 1.000000
+dualbound = 3508306.178338, lowerbound=1277261.178338, norm of subgrad 1130.686154 dualbound = 3508306.178338, lowerbound=1277261.178338, norm of subgrad 35.361219 stepsize= 1.000000
+dualbound = 3508380.651618, lowerbound=1277508.651618, norm of subgrad 1130.822997 dualbound = 3508380.651618, lowerbound=1277508.651618, norm of subgrad 36.420781 stepsize= 1.000000
+dualbound = 3508429.283283, lowerbound=1282464.283283, norm of subgrad 1133.012923 dualbound = 3508429.283283, lowerbound=1282464.283283, norm of subgrad 36.091989 stepsize= 1.000000
+dualbound = 3508549.568034, lowerbound=1278541.568034, norm of subgrad 1131.228787 dualbound = 3508549.568034, lowerbound=1278541.568034, norm of subgrad 35.458211 stepsize= 1.000000
+dualbound = 3508597.686715, lowerbound=1288211.686715, norm of subgrad 1135.526172 dualbound = 3508597.686715, lowerbound=1288211.686715, norm of subgrad 35.441765 stepsize= 1.000000
+dualbound = 3508676.873820, lowerbound=1275371.873820, norm of subgrad 1129.855245 dualbound = 3508676.873820, lowerbound=1275371.873820, norm of subgrad 35.779702 stepsize= 1.000000
+dualbound = 3508740.576317, lowerbound=1282108.576317, norm of subgrad 1132.838283 dualbound = 3508740.576317, lowerbound=1282108.576317, norm of subgrad 35.744965 stepsize= 1.000000
+dualbound = 3508835.696467, lowerbound=1277108.696467, norm of subgrad 1130.616954 dualbound = 3508835.696467, lowerbound=1277108.696467, norm of subgrad 35.792739 stepsize= 1.000000
+dualbound = 3508884.916105, lowerbound=1282459.916105, norm of subgrad 1132.988489 dualbound = 3508884.916105, lowerbound=1282459.916105, norm of subgrad 35.386716 stepsize= 1.000000
+dualbound = 3508984.260016, lowerbound=1274606.260016, norm of subgrad 1129.500890 dualbound = 3508984.260016, lowerbound=1274606.260016, norm of subgrad 35.571673 stepsize= 1.000000
+dualbound = 3509030.397864, lowerbound=1277623.397864, norm of subgrad 1130.845435 dualbound = 3509030.397864, lowerbound=1277623.397864, norm of subgrad 35.130298 stepsize= 1.000000
+dualbound = 3509130.604229, lowerbound=1279127.604229, norm of subgrad 1131.532856 dualbound = 3509130.604229, lowerbound=1279127.604229, norm of subgrad 36.595169 stepsize= 1.000000
+dualbound = 3509171.113967, lowerbound=1278903.113967, norm of subgrad 1131.444702 dualbound = 3509171.113967, lowerbound=1278903.113967, norm of subgrad 36.117997 stepsize= 1.000000
+dualbound = 3509264.814192, lowerbound=1279137.814192, norm of subgrad 1131.532949 dualbound = 3509264.814192, lowerbound=1279137.814192, norm of subgrad 36.368946 stepsize= 1.000000
+dualbound = 3509332.624727, lowerbound=1281378.624727, norm of subgrad 1132.508554 dualbound = 3509332.624727, lowerbound=1281378.624727, norm of subgrad 35.564175 stepsize= 1.000000
+dualbound = 3509417.819014, lowerbound=1278992.819014, norm of subgrad 1131.474180 dualbound = 3509417.819014, lowerbound=1278992.819014, norm of subgrad 36.416951 stepsize= 1.000000
+dualbound = 3509451.953285, lowerbound=1276144.953285, norm of subgrad 1130.237565 dualbound = 3509451.953285, lowerbound=1276144.953285, norm of subgrad 36.416127 stepsize= 1.000000
+dualbound = 3509545.214977, lowerbound=1280238.214977, norm of subgrad 1132.025271 dualbound = 3509545.214977, lowerbound=1280238.214977, norm of subgrad 36.554913 stepsize= 1.000000
+dualbound = 3509612.161846, lowerbound=1278000.161846, norm of subgrad 1131.036764 dualbound = 3509612.161846, lowerbound=1278000.161846, norm of subgrad 36.207000 stepsize= 1.000000
+dualbound = 3509686.129691, lowerbound=1283156.129691, norm of subgrad 1133.307165 dualbound = 3509686.129691, lowerbound=1283156.129691, norm of subgrad 36.096646 stepsize= 1.000000
+dualbound = 3509755.512989, lowerbound=1280944.512989, norm of subgrad 1132.325268 dualbound = 3509755.512989, lowerbound=1280944.512989, norm of subgrad 35.852243 stepsize= 1.000000
+dualbound = 3509852.809961, lowerbound=1280608.809961, norm of subgrad 1132.162890 dualbound = 3509852.809961, lowerbound=1280608.809961, norm of subgrad 35.795209 stepsize= 1.000000
+dualbound = 3509893.787028, lowerbound=1280775.787028, norm of subgrad 1132.267984 dualbound = 3509893.787028, lowerbound=1280775.787028, norm of subgrad 35.999681 stepsize= 1.000000
+dualbound = 3510000.616962, lowerbound=1278249.616962, norm of subgrad 1131.131565 dualbound = 3510000.616962, lowerbound=1278249.616962, norm of subgrad 36.274370 stepsize= 1.000000
+dualbound = 3510057.437547, lowerbound=1284924.437547, norm of subgrad 1134.068092 dualbound = 3510057.437547, lowerbound=1284924.437547, norm of subgrad 35.253661 stepsize= 1.000000
+dualbound = 3510141.755217, lowerbound=1276257.755217, norm of subgrad 1130.262693 dualbound = 3510141.755217, lowerbound=1276257.755217, norm of subgrad 36.336176 stepsize= 1.000000
+dualbound = 3510192.538805, lowerbound=1276101.538805, norm of subgrad 1130.189161 dualbound = 3510192.538805, lowerbound=1276101.538805, norm of subgrad 35.732109 stepsize= 1.000000
+dualbound = 3510291.969414, lowerbound=1279048.969414, norm of subgrad 1131.464082 dualbound = 3510291.969414, lowerbound=1279048.969414, norm of subgrad 35.516624 stepsize= 1.000000
+dualbound = 3510372.987513, lowerbound=1276053.987513, norm of subgrad 1130.146445 dualbound = 3510372.987513, lowerbound=1276053.987513, norm of subgrad 35.468551 stepsize= 1.000000
+dualbound = 3510456.798264, lowerbound=1276057.798264, norm of subgrad 1130.161846 dualbound = 3510456.798264, lowerbound=1276057.798264, norm of subgrad 35.941769 stepsize= 1.000000
+dualbound = 3510502.985043, lowerbound=1284344.985043, norm of subgrad 1133.831551 dualbound = 3510502.985043, lowerbound=1284344.985043, norm of subgrad 35.709757 stepsize= 1.000000
+dualbound = 3510582.502700, lowerbound=1276166.502700, norm of subgrad 1130.204186 dualbound = 3510582.502700, lowerbound=1276166.502700, norm of subgrad 35.700387 stepsize= 1.000000
+dualbound = 3510655.034204, lowerbound=1287479.034204, norm of subgrad 1135.203521 dualbound = 3510655.034204, lowerbound=1287479.034204, norm of subgrad 35.784515 stepsize= 1.000000
+dualbound = 3510709.543665, lowerbound=1281915.543665, norm of subgrad 1132.776476 dualbound = 3510709.543665, lowerbound=1281915.543665, norm of subgrad 36.352572 stepsize= 1.000000
+dualbound = 3510778.143999, lowerbound=1281369.143999, norm of subgrad 1132.537480 dualbound = 3510778.143999, lowerbound=1281369.143999, norm of subgrad 36.614209 stepsize= 1.000000
+dualbound = 3510870.824098, lowerbound=1278795.824098, norm of subgrad 1131.364585 dualbound = 3510870.824098, lowerbound=1278795.824098, norm of subgrad 35.814524 stepsize= 1.000000
+dualbound = 3510938.929742, lowerbound=1283996.929742, norm of subgrad 1133.666146 dualbound = 3510938.929742, lowerbound=1283996.929742, norm of subgrad 35.638542 stepsize= 1.000000
+dualbound = 3511030.304005, lowerbound=1277787.304005, norm of subgrad 1130.915693 dualbound = 3511030.304005, lowerbound=1277787.304005, norm of subgrad 35.698379 stepsize= 1.000000
+dualbound = 3511091.403527, lowerbound=1274708.403527, norm of subgrad 1129.566024 dualbound = 3511091.403527, lowerbound=1274708.403527, norm of subgrad 35.666504 stepsize= 1.000000
+dualbound = 3511171.058370, lowerbound=1281157.058370, norm of subgrad 1132.420001 dualbound = 3511171.058370, lowerbound=1281157.058370, norm of subgrad 36.022977 stepsize= 1.000000
+dualbound = 3511217.047353, lowerbound=1286041.047353, norm of subgrad 1134.548830 dualbound = 3511217.047353, lowerbound=1286041.047353, norm of subgrad 34.727352 stepsize= 1.000000
+dualbound = 3511314.078076, lowerbound=1282443.078076, norm of subgrad 1132.967819 dualbound = 3511314.078076, lowerbound=1282443.078076, norm of subgrad 35.637490 stepsize= 1.000000
+dualbound = 3511362.913882, lowerbound=1278138.913882, norm of subgrad 1131.106058 dualbound = 3511362.913882, lowerbound=1278138.913882, norm of subgrad 36.205467 stepsize= 1.000000
+dualbound = 3511433.416258, lowerbound=1281206.416258, norm of subgrad 1132.475349 dualbound = 3511433.416258, lowerbound=1281206.416258, norm of subgrad 36.939171 stepsize= 1.000000
+dualbound = 3511509.704588, lowerbound=1277732.704588, norm of subgrad 1130.927365 dualbound = 3511509.704588, lowerbound=1277732.704588, norm of subgrad 36.609949 stepsize= 1.000000
+dualbound = 3511582.113924, lowerbound=1279233.113924, norm of subgrad 1131.578152 dualbound = 3511582.113924, lowerbound=1279233.113924, norm of subgrad 36.171941 stepsize= 1.000000
+dualbound = 3511655.860723, lowerbound=1281261.860723, norm of subgrad 1132.468040 dualbound = 3511655.860723, lowerbound=1281261.860723, norm of subgrad 35.996483 stepsize= 1.000000
+dualbound = 3511729.349229, lowerbound=1278940.349229, norm of subgrad 1131.441271 dualbound = 3511729.349229, lowerbound=1278940.349229, norm of subgrad 35.951196 stepsize= 1.000000
+dualbound = 3511809.367405, lowerbound=1281075.367405, norm of subgrad 1132.387905 dualbound = 3511809.367405, lowerbound=1281075.367405, norm of subgrad 36.152706 stepsize= 1.000000
+dualbound = 3511870.967289, lowerbound=1279348.967289, norm of subgrad 1131.630667 dualbound = 3511870.967289, lowerbound=1279348.967289, norm of subgrad 36.063831 stepsize= 1.000000
+dualbound = 3511944.342518, lowerbound=1280874.342518, norm of subgrad 1132.312387 dualbound = 3511944.342518, lowerbound=1280874.342518, norm of subgrad 36.474309 stepsize= 1.000000
+dualbound = 3512013.387733, lowerbound=1281205.387733, norm of subgrad 1132.432951 dualbound = 3512013.387733, lowerbound=1281205.387733, norm of subgrad 35.609622 stepsize= 1.000000
+dualbound = 3512113.355867, lowerbound=1277262.355867, norm of subgrad 1130.685348 dualbound = 3512113.355867, lowerbound=1277262.355867, norm of subgrad 35.874338 stepsize= 1.000000
+dualbound = 3512175.913048, lowerbound=1281047.913048, norm of subgrad 1132.354588 dualbound = 3512175.913048, lowerbound=1281047.913048, norm of subgrad 35.235737 stepsize= 1.000000
+dualbound = 3512252.660168, lowerbound=1279575.660168, norm of subgrad 1131.717571 dualbound = 3512252.660168, lowerbound=1279575.660168, norm of subgrad 35.857316 stepsize= 1.000000
+dualbound = 3512310.448199, lowerbound=1282810.448199, norm of subgrad 1133.143172 dualbound = 3512310.448199, lowerbound=1282810.448199, norm of subgrad 35.507577 stepsize= 1.000000
+dualbound = 3512395.023467, lowerbound=1277055.023467, norm of subgrad 1130.600293 dualbound = 3512395.023467, lowerbound=1277055.023467, norm of subgrad 35.868862 stepsize= 1.000000
+dualbound = 3512489.157566, lowerbound=1281274.157566, norm of subgrad 1132.435940 dualbound = 3512489.157566, lowerbound=1281274.157566, norm of subgrad 35.087521 stepsize= 1.000000
+dualbound = 3512534.908224, lowerbound=1279506.908224, norm of subgrad 1131.699124 dualbound = 3512534.908224, lowerbound=1279506.908224, norm of subgrad 35.801545 stepsize= 1.000000
+dualbound = 3512592.535392, lowerbound=1277056.535392, norm of subgrad 1130.603616 dualbound = 3512592.535392, lowerbound=1277056.535392, norm of subgrad 35.575654 stepsize= 1.000000
+dualbound = 3512674.650328, lowerbound=1282766.650328, norm of subgrad 1133.140614 dualbound = 3512674.650328, lowerbound=1282766.650328, norm of subgrad 36.374647 stepsize= 1.000000
+dualbound = 3512739.097945, lowerbound=1283029.097945, norm of subgrad 1133.264355 dualbound = 3512739.097945, lowerbound=1283029.097945, norm of subgrad 36.379220 stepsize= 1.000000
+dualbound = 3512788.463985, lowerbound=1278759.463985, norm of subgrad 1131.351609 dualbound = 3512788.463985, lowerbound=1278759.463985, norm of subgrad 35.303910 stepsize= 1.000000
+dualbound = 3512901.094894, lowerbound=1283524.094894, norm of subgrad 1133.437292 dualbound = 3512901.094894, lowerbound=1283524.094894, norm of subgrad 35.617845 stepsize= 1.000000
+dualbound = 3512966.421617, lowerbound=1280920.421617, norm of subgrad 1132.316838 dualbound = 3512966.421617, lowerbound=1280920.421617, norm of subgrad 35.865397 stepsize= 1.000000
+dualbound = 3513047.560601, lowerbound=1280623.560601, norm of subgrad 1132.185745 dualbound = 3513047.560601, lowerbound=1280623.560601, norm of subgrad 36.085163 stepsize= 1.000000
+dualbound = 3513109.592443, lowerbound=1280728.592443, norm of subgrad 1132.227712 dualbound = 3513109.592443, lowerbound=1280728.592443, norm of subgrad 35.679572 stepsize= 1.000000
+dualbound = 3513191.471453, lowerbound=1279507.471453, norm of subgrad 1131.685677 dualbound = 3513191.471453, lowerbound=1279507.471453, norm of subgrad 35.873096 stepsize= 1.000000
+dualbound = 3513247.889550, lowerbound=1280823.889550, norm of subgrad 1132.297615 dualbound = 3513247.889550, lowerbound=1280823.889550, norm of subgrad 36.474897 stepsize= 1.000000
+dualbound = 3513321.631736, lowerbound=1282016.631736, norm of subgrad 1132.801232 dualbound = 3513321.631736, lowerbound=1282016.631736, norm of subgrad 35.996419 stepsize= 1.000000
+dualbound = 3513385.767654, lowerbound=1274076.767654, norm of subgrad 1129.289054 dualbound = 3513385.767654, lowerbound=1274076.767654, norm of subgrad 35.792959 stepsize= 1.000000
+dualbound = 3513436.251599, lowerbound=1279230.251599, norm of subgrad 1131.604282 dualbound = 3513436.251599, lowerbound=1279230.251599, norm of subgrad 36.721709 stepsize= 1.000000
+dualbound = 3513536.494848, lowerbound=1276060.494848, norm of subgrad 1130.169233 dualbound = 3513536.494848, lowerbound=1276060.494848, norm of subgrad 36.362663 stepsize= 1.000000
+dualbound = 3513606.484676, lowerbound=1283368.484676, norm of subgrad 1133.378791 dualbound = 3513606.484676, lowerbound=1283368.484676, norm of subgrad 35.341050 stepsize= 1.000000
+dualbound = 3513701.893395, lowerbound=1278923.893395, norm of subgrad 1131.421183 dualbound = 3513701.893395, lowerbound=1278923.893395, norm of subgrad 35.852597 stepsize= 1.000000
+dualbound = 3513734.351035, lowerbound=1281897.351035, norm of subgrad 1132.768445 dualbound = 3513734.351035, lowerbound=1281897.351035, norm of subgrad 36.047991 stepsize= 1.000000
+dualbound = 3513823.750969, lowerbound=1287239.750969, norm of subgrad 1135.092838 dualbound = 3513823.750969, lowerbound=1287239.750969, norm of subgrad 35.852475 stepsize= 1.000000
+dualbound = 3513896.018580, lowerbound=1278431.018580, norm of subgrad 1131.243572 dualbound = 3513896.018580, lowerbound=1278431.018580, norm of subgrad 36.786786 stepsize= 1.000000
+dualbound = 3513950.830618, lowerbound=1282600.830618, norm of subgrad 1133.068767 dualbound = 3513950.830618, lowerbound=1282600.830618, norm of subgrad 36.039035 stepsize= 1.000000
+dualbound = 3514049.092311, lowerbound=1278683.092311, norm of subgrad 1131.319624 dualbound = 3514049.092311, lowerbound=1278683.092311, norm of subgrad 36.045273 stepsize= 1.000000
+dualbound = 3514132.955020, lowerbound=1277192.955020, norm of subgrad 1130.669251 dualbound = 3514132.955020, lowerbound=1277192.955020, norm of subgrad 36.109039 stepsize= 1.000000
+dualbound = 3514207.293876, lowerbound=1283762.293876, norm of subgrad 1133.569713 dualbound = 3514207.293876, lowerbound=1283762.293876, norm of subgrad 35.949115 stepsize= 1.000000
+dualbound = 3514257.102907, lowerbound=1280578.102907, norm of subgrad 1132.165669 dualbound = 3514257.102907, lowerbound=1280578.102907, norm of subgrad 35.648409 stepsize= 1.000000
+dualbound = 3514365.732479, lowerbound=1282455.732479, norm of subgrad 1132.991056 dualbound = 3514365.732479, lowerbound=1282455.732479, norm of subgrad 36.354224 stepsize= 1.000000
+dualbound = 3514408.464418, lowerbound=1281849.464418, norm of subgrad 1132.711113 dualbound = 3514408.464418, lowerbound=1281849.464418, norm of subgrad 35.039006 stepsize= 1.000000
+dualbound = 3514506.230588, lowerbound=1275619.230588, norm of subgrad 1129.958066 dualbound = 3514506.230588, lowerbound=1275619.230588, norm of subgrad 35.829683 stepsize= 1.000000
+dualbound = 3514576.336147, lowerbound=1278468.336147, norm of subgrad 1131.231336 dualbound = 3514576.336147, lowerbound=1278468.336147, norm of subgrad 35.862314 stepsize= 1.000000
+dualbound = 3514652.522938, lowerbound=1285989.522938, norm of subgrad 1134.533174 dualbound = 3514652.522938, lowerbound=1285989.522938, norm of subgrad 35.386251 stepsize= 1.000000
+dualbound = 3514721.115177, lowerbound=1281801.115177, norm of subgrad 1132.688887 dualbound = 3514721.115177, lowerbound=1281801.115177, norm of subgrad 35.377850 stepsize= 1.000000
+dualbound = 3514794.747217, lowerbound=1280289.747217, norm of subgrad 1132.014906 dualbound = 3514794.747217, lowerbound=1280289.747217, norm of subgrad 35.236800 stepsize= 1.000000
+dualbound = 3514859.573332, lowerbound=1279210.573332, norm of subgrad 1131.586750 dualbound = 3514859.573332, lowerbound=1279210.573332, norm of subgrad 36.644592 stepsize= 1.000000
+dualbound = 3514911.182301, lowerbound=1280342.182301, norm of subgrad 1132.069425 dualbound = 3514911.182301, lowerbound=1280342.182301, norm of subgrad 35.925047 stepsize= 1.000000
+dualbound = 3514995.298813, lowerbound=1279733.298813, norm of subgrad 1131.782797 dualbound = 3514995.298813, lowerbound=1279733.298813, norm of subgrad 35.820616 stepsize= 1.000000
+dualbound = 3515072.350195, lowerbound=1277087.350195, norm of subgrad 1130.618570 dualbound = 3515072.350195, lowerbound=1277087.350195, norm of subgrad 35.889433 stepsize= 1.000000
+dualbound = 3515147.196491, lowerbound=1286375.196491, norm of subgrad 1134.725604 dualbound = 3515147.196491, lowerbound=1286375.196491, norm of subgrad 36.081107 stepsize= 1.000000
+dualbound = 3515204.962696, lowerbound=1280470.962696, norm of subgrad 1132.111285 dualbound = 3515204.962696, lowerbound=1280470.962696, norm of subgrad 35.535422 stepsize= 1.000000
+dualbound = 3515298.286319, lowerbound=1282741.286319, norm of subgrad 1133.109565 dualbound = 3515298.286319, lowerbound=1282741.286319, norm of subgrad 35.907153 stepsize= 1.000000
+dualbound = 3515380.030319, lowerbound=1274961.030319, norm of subgrad 1129.670762 dualbound = 3515380.030319, lowerbound=1274961.030319, norm of subgrad 35.731555 stepsize= 1.000000
+dualbound = 3515439.448580, lowerbound=1285063.448580, norm of subgrad 1134.127175 dualbound = 3515439.448580, lowerbound=1285063.448580, norm of subgrad 35.219572 stepsize= 1.000000
+dualbound = 3515536.903260, lowerbound=1285624.903260, norm of subgrad 1134.364537 dualbound = 3515536.903260, lowerbound=1285624.903260, norm of subgrad 35.432396 stepsize= 1.000000
+dualbound = 3515578.322909, lowerbound=1281923.322909, norm of subgrad 1132.745922 dualbound = 3515578.322909, lowerbound=1281923.322909, norm of subgrad 35.091589 stepsize= 1.000000
+dualbound = 3515667.987464, lowerbound=1275356.987464, norm of subgrad 1129.842904 dualbound = 3515667.987464, lowerbound=1275356.987464, norm of subgrad 35.744434 stepsize= 1.000000
+dualbound = 3515715.087574, lowerbound=1284467.087574, norm of subgrad 1133.849676 dualbound = 3515715.087574, lowerbound=1284467.087574, norm of subgrad 34.570220 stepsize= 1.000000
+dualbound = 3515812.014074, lowerbound=1279029.014074, norm of subgrad 1131.453938 dualbound = 3515812.014074, lowerbound=1279029.014074, norm of subgrad 35.439053 stepsize= 1.000000
+dualbound = 3515861.941710, lowerbound=1285152.941710, norm of subgrad 1134.178973 dualbound = 3515861.941710, lowerbound=1285152.941710, norm of subgrad 35.481370 stepsize= 1.000000
+dualbound = 3515939.201968, lowerbound=1283883.201968, norm of subgrad 1133.604076 dualbound = 3515939.201968, lowerbound=1283883.201968, norm of subgrad 35.387289 stepsize= 1.000000
+dualbound = 3515990.688038, lowerbound=1281261.688038, norm of subgrad 1132.447654 dualbound = 3515990.688038, lowerbound=1281261.688038, norm of subgrad 35.035497 stepsize= 1.000000
+dualbound = 3516076.815118, lowerbound=1276241.815118, norm of subgrad 1130.231310 dualbound = 3516076.815118, lowerbound=1276241.815118, norm of subgrad 35.596729 stepsize= 1.000000
+dualbound = 3516165.333097, lowerbound=1283935.333097, norm of subgrad 1133.630157 dualbound = 3516165.333097, lowerbound=1283935.333097, norm of subgrad 35.644326 stepsize= 1.000000
+dualbound = 3516226.715494, lowerbound=1278935.715494, norm of subgrad 1131.441433 dualbound = 3516226.715494, lowerbound=1278935.715494, norm of subgrad 35.852230 stepsize= 1.000000
+dualbound = 3516260.369983, lowerbound=1286286.369983, norm of subgrad 1134.684701 dualbound = 3516260.369983, lowerbound=1286286.369983, norm of subgrad 35.449323 stepsize= 1.000000
+dualbound = 3516365.837102, lowerbound=1279167.837102, norm of subgrad 1131.532517 dualbound = 3516365.837102, lowerbound=1279167.837102, norm of subgrad 36.103561 stepsize= 1.000000
+dualbound = 3516426.851315, lowerbound=1284008.851315, norm of subgrad 1133.688604 dualbound = 3516426.851315, lowerbound=1284008.851315, norm of subgrad 36.083434 stepsize= 1.000000
+dualbound = 3516508.087396, lowerbound=1280362.087396, norm of subgrad 1132.080424 dualbound = 3516508.087396, lowerbound=1280362.087396, norm of subgrad 36.403792 stepsize= 1.000000
+dualbound = 3516566.046141, lowerbound=1282981.046141, norm of subgrad 1133.224182 dualbound = 3516566.046141, lowerbound=1282981.046141, norm of subgrad 35.692559 stepsize= 1.000000
+dualbound = 3516653.851421, lowerbound=1276114.851421, norm of subgrad 1130.199917 dualbound = 3516653.851421, lowerbound=1276114.851421, norm of subgrad 36.397875 stepsize= 1.000000
+dualbound = 3516722.849329, lowerbound=1284157.849329, norm of subgrad 1133.740204 dualbound = 3516722.849329, lowerbound=1284157.849329, norm of subgrad 35.749097 stepsize= 1.000000
+dualbound = 3516798.819984, lowerbound=1279321.819984, norm of subgrad 1131.576696 dualbound = 3516798.819984, lowerbound=1279321.819984, norm of subgrad 34.928078 stepsize= 1.000000
+dualbound = 3516884.352546, lowerbound=1286479.352546, norm of subgrad 1134.743739 dualbound = 3516884.352546, lowerbound=1286479.352546, norm of subgrad 35.348728 stepsize= 1.000000
+dualbound = 3516939.409106, lowerbound=1278551.409106, norm of subgrad 1131.267612 dualbound = 3516939.409106, lowerbound=1278551.409106, norm of subgrad 35.637853 stepsize= 1.000000
+dualbound = 3517004.796580, lowerbound=1287705.796580, norm of subgrad 1135.291943 dualbound = 3517004.796580, lowerbound=1287705.796580, norm of subgrad 35.318373 stepsize= 1.000000
+dualbound = 3517086.470896, lowerbound=1275141.470896, norm of subgrad 1129.726281 dualbound = 3517086.470896, lowerbound=1275141.470896, norm of subgrad 34.952458 stepsize= 1.000000
+dualbound = 3517171.492691, lowerbound=1280162.492691, norm of subgrad 1131.979016 dualbound = 3517171.492691, lowerbound=1280162.492691, norm of subgrad 36.041945 stepsize= 1.000000
+dualbound = 3517202.694029, lowerbound=1280569.694029, norm of subgrad 1132.161072 dualbound = 3517202.694029, lowerbound=1280569.694029, norm of subgrad 35.358186 stepsize= 1.000000
+dualbound = 3517310.809192, lowerbound=1281834.809192, norm of subgrad 1132.698905 dualbound = 3517310.809192, lowerbound=1281834.809192, norm of subgrad 35.778697 stepsize= 1.000000
+dualbound = 3517387.157041, lowerbound=1280435.157041, norm of subgrad 1132.089730 dualbound = 3517387.157041, lowerbound=1280435.157041, norm of subgrad 35.613872 stepsize= 1.000000
+dualbound = 3517438.633404, lowerbound=1281810.633404, norm of subgrad 1132.700593 dualbound = 3517438.633404, lowerbound=1281810.633404, norm of subgrad 35.376212 stepsize= 1.000000
+dualbound = 3517513.242703, lowerbound=1281063.242703, norm of subgrad 1132.371513 dualbound = 3517513.242703, lowerbound=1281063.242703, norm of subgrad 35.729670 stepsize= 1.000000
+dualbound = 3517582.620420, lowerbound=1282300.620420, norm of subgrad 1132.908920 dualbound = 3517582.620420, lowerbound=1282300.620420, norm of subgrad 35.374818 stepsize= 1.000000
+dualbound = 3517660.882967, lowerbound=1282300.882967, norm of subgrad 1132.938164 dualbound = 3517660.882967, lowerbound=1282300.882967, norm of subgrad 36.417888 stepsize= 1.000000
+dualbound = 3517741.211302, lowerbound=1279135.211302, norm of subgrad 1131.511472 dualbound = 3517741.211302, lowerbound=1279135.211302, norm of subgrad 35.543330 stepsize= 1.000000
+dualbound = 3517813.935409, lowerbound=1283566.935409, norm of subgrad 1133.463689 dualbound = 3517813.935409, lowerbound=1283566.935409, norm of subgrad 35.294817 stepsize= 1.000000
+dualbound = 3517862.696486, lowerbound=1276040.696486, norm of subgrad 1130.156934 dualbound = 3517862.696486, lowerbound=1276040.696486, norm of subgrad 35.535350 stepsize= 1.000000
+dualbound = 3517927.453682, lowerbound=1280088.453682, norm of subgrad 1131.959564 dualbound = 3517927.453682, lowerbound=1280088.453682, norm of subgrad 36.176749 stepsize= 1.000000
+dualbound = 3518010.716024, lowerbound=1279233.716024, norm of subgrad 1131.579302 dualbound = 3518010.716024, lowerbound=1279233.716024, norm of subgrad 36.349173 stepsize= 1.000000
+dualbound = 3518065.631796, lowerbound=1278683.631796, norm of subgrad 1131.306162 dualbound = 3518065.631796, lowerbound=1278683.631796, norm of subgrad 34.998797 stepsize= 1.000000
+dualbound = 3518178.992008, lowerbound=1276263.992008, norm of subgrad 1130.257932 dualbound = 3518178.992008, lowerbound=1276263.992008, norm of subgrad 36.501510 stepsize= 1.000000
+dualbound = 3518205.092797, lowerbound=1284236.092797, norm of subgrad 1133.802493 dualbound = 3518205.092797, lowerbound=1284236.092797, norm of subgrad 36.029166 stepsize= 1.000000
+dualbound = 3518301.924363, lowerbound=1284231.924363, norm of subgrad 1133.793599 dualbound = 3518301.924363, lowerbound=1284231.924363, norm of subgrad 36.780859 stepsize= 1.000000
+dualbound = 3518370.127043, lowerbound=1284642.127043, norm of subgrad 1133.944499 dualbound = 3518370.127043, lowerbound=1284642.127043, norm of subgrad 35.442950 stepsize= 1.000000
+dualbound = 3518459.189984, lowerbound=1278539.189984, norm of subgrad 1131.273703 dualbound = 3518459.189984, lowerbound=1278539.189984, norm of subgrad 36.470028 stepsize= 1.000000
+dualbound = 3518500.764761, lowerbound=1284380.764761, norm of subgrad 1133.817783 dualbound = 3518500.764761, lowerbound=1284380.764761, norm of subgrad 34.692575 stepsize= 1.000000
+dualbound = 3518590.692015, lowerbound=1286179.692015, norm of subgrad 1134.614336 dualbound = 3518590.692015, lowerbound=1286179.692015, norm of subgrad 35.495454 stepsize= 1.000000
+dualbound = 3518662.932878, lowerbound=1280613.932878, norm of subgrad 1132.184584 dualbound = 3518662.932878, lowerbound=1280613.932878, norm of subgrad 36.058853 stepsize= 1.000000
+dualbound = 3518727.867690, lowerbound=1280624.867690, norm of subgrad 1132.181906 dualbound = 3518727.867690, lowerbound=1280624.867690, norm of subgrad 35.720230 stepsize= 1.000000
+dualbound = 3518823.228331, lowerbound=1283671.228331, norm of subgrad 1133.500873 dualbound = 3518823.228331, lowerbound=1283671.228331, norm of subgrad 35.332147 stepsize= 1.000000
+dualbound = 3518885.693365, lowerbound=1281691.693365, norm of subgrad 1132.660008 dualbound = 3518885.693365, lowerbound=1281691.693365, norm of subgrad 35.909122 stepsize= 1.000000
+dualbound = 3518968.548288, lowerbound=1284387.548288, norm of subgrad 1133.830476 dualbound = 3518968.548288, lowerbound=1284387.548288, norm of subgrad 35.592906 stepsize= 1.000000
+dualbound = 3519007.429202, lowerbound=1280671.429202, norm of subgrad 1132.209534 dualbound = 3519007.429202, lowerbound=1280671.429202, norm of subgrad 35.579220 stepsize= 1.000000
+dualbound = 3519108.062268, lowerbound=1281691.062268, norm of subgrad 1132.638540 dualbound = 3519108.062268, lowerbound=1281691.062268, norm of subgrad 35.771959 stepsize= 1.000000
+dualbound = 3519158.467682, lowerbound=1279345.467682, norm of subgrad 1131.596424 dualbound = 3519158.467682, lowerbound=1279345.467682, norm of subgrad 34.862665 stepsize= 1.000000
+dualbound = 3519255.447016, lowerbound=1281794.447016, norm of subgrad 1132.680205 dualbound = 3519255.447016, lowerbound=1281794.447016, norm of subgrad 35.594653 stepsize= 1.000000
+dualbound = 3519312.040265, lowerbound=1280718.040265, norm of subgrad 1132.244249 dualbound = 3519312.040265, lowerbound=1280718.040265, norm of subgrad 36.271108 stepsize= 1.000000
+dualbound = 3519388.035993, lowerbound=1282345.035993, norm of subgrad 1132.917047 dualbound = 3519388.035993, lowerbound=1282345.035993, norm of subgrad 35.099797 stepsize= 1.000000
+dualbound = 3519450.903770, lowerbound=1280495.903770, norm of subgrad 1132.109934 dualbound = 3519450.903770, lowerbound=1280495.903770, norm of subgrad 35.211756 stepsize= 1.000000
+dualbound = 3519541.123768, lowerbound=1276149.123768, norm of subgrad 1130.204019 dualbound = 3519541.123768, lowerbound=1276149.123768, norm of subgrad 36.086285 stepsize= 1.000000
+dualbound = 3519588.320473, lowerbound=1279390.320473, norm of subgrad 1131.648497 dualbound = 3519588.320473, lowerbound=1279390.320473, norm of subgrad 35.849640 stepsize= 1.000000
+dualbound = 3519656.713075, lowerbound=1285357.713075, norm of subgrad 1134.278940 dualbound = 3519656.713075, lowerbound=1285357.713075, norm of subgrad 36.047089 stepsize= 1.000000
+dualbound = 3519731.337697, lowerbound=1283621.337697, norm of subgrad 1133.501803 dualbound = 3519731.337697, lowerbound=1283621.337697, norm of subgrad 35.771841 stepsize= 1.000000
+dualbound = 3519822.578393, lowerbound=1284727.578393, norm of subgrad 1133.977327 dualbound = 3519822.578393, lowerbound=1284727.578393, norm of subgrad 35.612367 stepsize= 1.000000
+dualbound = 3519895.948975, lowerbound=1277729.948975, norm of subgrad 1130.930126 dualbound = 3519895.948975, lowerbound=1277729.948975, norm of subgrad 36.692923 stepsize= 1.000000
+dualbound = 3519924.241508, lowerbound=1286914.241508, norm of subgrad 1134.974996 dualbound = 3519924.241508, lowerbound=1286914.241508, norm of subgrad 35.809112 stepsize= 1.000000
+dualbound = 3520014.657445, lowerbound=1282494.657445, norm of subgrad 1132.981314 dualbound = 3520014.657445, lowerbound=1282494.657445, norm of subgrad 35.247921 stepsize= 1.000000
+dualbound = 3520100.775588, lowerbound=1284393.775588, norm of subgrad 1133.827930 dualbound = 3520100.775588, lowerbound=1284393.775588, norm of subgrad 35.469961 stepsize= 1.000000
+dualbound = 3520180.395221, lowerbound=1276155.395221, norm of subgrad 1130.211659 dualbound = 3520180.395221, lowerbound=1276155.395221, norm of subgrad 36.091822 stepsize= 1.000000
+dualbound = 3520235.252234, lowerbound=1288290.252234, norm of subgrad 1135.562086 dualbound = 3520235.252234, lowerbound=1288290.252234, norm of subgrad 35.578884 stepsize= 1.000000
+dualbound = 3520312.376458, lowerbound=1280374.376458, norm of subgrad 1132.058910 dualbound = 3520312.376458, lowerbound=1280374.376458, norm of subgrad 35.498228 stepsize= 1.000000
+dualbound = 3520398.998893, lowerbound=1287212.998893, norm of subgrad 1135.083256 dualbound = 3520398.998893, lowerbound=1287212.998893, norm of subgrad 35.883456 stepsize= 1.000000
+dualbound = 3520435.447559, lowerbound=1280325.447559, norm of subgrad 1132.050550 dualbound = 3520435.447559, lowerbound=1280325.447559, norm of subgrad 35.347541 stepsize= 1.000000
+dualbound = 3520529.945509, lowerbound=1283981.945509, norm of subgrad 1133.681589 dualbound = 3520529.945509, lowerbound=1283981.945509, norm of subgrad 36.694658 stepsize= 1.000000
+dualbound = 3520581.210714, lowerbound=1281519.210714, norm of subgrad 1132.573711 dualbound = 3520581.210714, lowerbound=1281519.210714, norm of subgrad 35.429722 stepsize= 1.000000
+dualbound = 3520686.723243, lowerbound=1280171.723243, norm of subgrad 1131.964983 dualbound = 3520686.723243, lowerbound=1280171.723243, norm of subgrad 35.756294 stepsize= 1.000000
+dualbound = 3520763.017825, lowerbound=1275607.017825, norm of subgrad 1129.955759 dualbound = 3520763.017825, lowerbound=1275607.017825, norm of subgrad 35.627161 stepsize= 1.000000
+dualbound = 3520815.599037, lowerbound=1280452.599037, norm of subgrad 1132.108475 dualbound = 3520815.599037, lowerbound=1280452.599037, norm of subgrad 35.631183 stepsize= 1.000000
+dualbound = 3520897.465003, lowerbound=1281113.465003, norm of subgrad 1132.382650 dualbound = 3520897.465003, lowerbound=1281113.465003, norm of subgrad 35.480501 stepsize= 1.000000
+dualbound = 3520976.885772, lowerbound=1282478.885772, norm of subgrad 1132.996419 dualbound = 3520976.885772, lowerbound=1282478.885772, norm of subgrad 35.796938 stepsize= 1.000000
+dualbound = 3521033.145299, lowerbound=1282115.145299, norm of subgrad 1132.861044 dualbound = 3521033.145299, lowerbound=1282115.145299, norm of subgrad 36.266507 stepsize= 1.000000
+dualbound = 3521094.104180, lowerbound=1283790.104180, norm of subgrad 1133.582421 dualbound = 3521094.104180, lowerbound=1283790.104180, norm of subgrad 35.776513 stepsize= 1.000000
+dualbound = 3521182.738368, lowerbound=1280090.738368, norm of subgrad 1131.939812 dualbound = 3521182.738368, lowerbound=1280090.738368, norm of subgrad 35.855741 stepsize= 1.000000
+dualbound = 3521246.317744, lowerbound=1283454.317744, norm of subgrad 1133.433861 dualbound = 3521246.317744, lowerbound=1283454.317744, norm of subgrad 35.799153 stepsize= 1.000000
+dualbound = 3521337.742188, lowerbound=1282952.742188, norm of subgrad 1133.220077 dualbound = 3521337.742188, lowerbound=1282952.742188, norm of subgrad 36.420110 stepsize= 1.000000
+dualbound = 3521377.670465, lowerbound=1288864.670465, norm of subgrad 1135.803535 dualbound = 3521377.670465, lowerbound=1288864.670465, norm of subgrad 34.998975 stepsize= 1.000000
+dualbound = 3521492.320485, lowerbound=1278723.320485, norm of subgrad 1131.306024 dualbound = 3521492.320485, lowerbound=1278723.320485, norm of subgrad 35.279598 stepsize= 1.000000
+dualbound = 3521528.655673, lowerbound=1287696.655673, norm of subgrad 1135.314342 dualbound = 3521528.655673, lowerbound=1287696.655673, norm of subgrad 35.753814 stepsize= 1.000000
+dualbound = 3521600.372581, lowerbound=1279429.372581, norm of subgrad 1131.656915 dualbound = 3521600.372581, lowerbound=1279429.372581, norm of subgrad 35.912629 stepsize= 1.000000
+dualbound = 3521649.618258, lowerbound=1280997.618258, norm of subgrad 1132.365497 dualbound = 3521649.618258, lowerbound=1280997.618258, norm of subgrad 36.100494 stepsize= 1.000000
+dualbound = 3521747.277938, lowerbound=1277370.277938, norm of subgrad 1130.747221 dualbound = 3521747.277938, lowerbound=1277370.277938, norm of subgrad 36.285805 stepsize= 1.000000
+dualbound = 3521812.821265, lowerbound=1288191.821265, norm of subgrad 1135.505976 dualbound = 3521812.821265, lowerbound=1288191.821265, norm of subgrad 35.320579 stepsize= 1.000000
+dualbound = 3521906.581611, lowerbound=1275850.581611, norm of subgrad 1130.065742 dualbound = 3521906.581611, lowerbound=1275850.581611, norm of subgrad 35.941068 stepsize= 1.000000
+dualbound = 3521963.928169, lowerbound=1285618.928169, norm of subgrad 1134.379534 dualbound = 3521963.928169, lowerbound=1285618.928169, norm of subgrad 35.430870 stepsize= 1.000000
+dualbound = 3522041.714687, lowerbound=1280377.714687, norm of subgrad 1132.062151 dualbound = 3522041.714687, lowerbound=1280377.714687, norm of subgrad 35.563837 stepsize= 1.000000
+dualbound = 3522105.059904, lowerbound=1283255.059904, norm of subgrad 1133.320811 dualbound = 3522105.059904, lowerbound=1283255.059904, norm of subgrad 34.990645 stepsize= 1.000000
+dualbound = 3522197.093370, lowerbound=1277610.093370, norm of subgrad 1130.847953 dualbound = 3522197.093370, lowerbound=1277610.093370, norm of subgrad 36.042107 stepsize= 1.000000
+dualbound = 3522261.248729, lowerbound=1276304.248729, norm of subgrad 1130.260699 dualbound = 3522261.248729, lowerbound=1276304.248729, norm of subgrad 35.343392 stepsize= 1.000000
+dualbound = 3522333.590582, lowerbound=1278868.590582, norm of subgrad 1131.409559 dualbound = 3522333.590582, lowerbound=1278868.590582, norm of subgrad 35.935245 stepsize= 1.000000
+dualbound = 3522384.042761, lowerbound=1283735.042761, norm of subgrad 1133.571808 dualbound = 3522384.042761, lowerbound=1283735.042761, norm of subgrad 36.061783 stepsize= 1.000000
+dualbound = 3522477.211326, lowerbound=1279455.211326, norm of subgrad 1131.673191 dualbound = 3522477.211326, lowerbound=1279455.211326, norm of subgrad 36.361636 stepsize= 1.000000
+dualbound = 3522549.584776, lowerbound=1288722.584776, norm of subgrad 1135.750670 dualbound = 3522549.584776, lowerbound=1288722.584776, norm of subgrad 35.768330 stepsize= 1.000000
+dualbound = 3522610.566641, lowerbound=1274249.566641, norm of subgrad 1129.393008 dualbound = 3522610.566641, lowerbound=1274249.566641, norm of subgrad 36.605763 stepsize= 1.000000
+dualbound = 3522674.278656, lowerbound=1281910.278656, norm of subgrad 1132.740605 dualbound = 3522674.278656, lowerbound=1281910.278656, norm of subgrad 35.421914 stepsize= 1.000000
+dualbound = 3522768.781926, lowerbound=1283207.781926, norm of subgrad 1133.294658 dualbound = 3522768.781926, lowerbound=1283207.781926, norm of subgrad 35.263342 stepsize= 1.000000
+dualbound = 3522842.386683, lowerbound=1285613.386683, norm of subgrad 1134.352409 dualbound = 3522842.386683, lowerbound=1285613.386683, norm of subgrad 34.865524 stepsize= 1.000000
+dualbound = 3522898.526185, lowerbound=1281724.526185, norm of subgrad 1132.640069 dualbound = 3522898.526185, lowerbound=1281724.526185, norm of subgrad 34.715119 stepsize= 1.000000
+dualbound = 3522962.235701, lowerbound=1289654.235701, norm of subgrad 1136.173946 dualbound = 3522962.235701, lowerbound=1289654.235701, norm of subgrad 36.065351 stepsize= 1.000000
+dualbound = 3523042.589409, lowerbound=1281167.589409, norm of subgrad 1132.401249 dualbound = 3523042.589409, lowerbound=1281167.589409, norm of subgrad 35.289569 stepsize= 1.000000
+dualbound = 3523120.086568, lowerbound=1286854.086568, norm of subgrad 1134.893866 dualbound = 3523120.086568, lowerbound=1286854.086568, norm of subgrad 34.749060 stepsize= 1.000000
+dualbound = 3523194.345768, lowerbound=1276381.345768, norm of subgrad 1130.280649 dualbound = 3523194.345768, lowerbound=1276381.345768, norm of subgrad 35.032259 stepsize= 1.000000
+dualbound = 3523252.850471, lowerbound=1288487.850471, norm of subgrad 1135.662736 dualbound = 3523252.850471, lowerbound=1288487.850471, norm of subgrad 36.062511 stepsize= 1.000000
+dualbound = 3523282.835825, lowerbound=1278901.835825, norm of subgrad 1131.432647 dualbound = 3523282.835825, lowerbound=1278901.835825, norm of subgrad 35.608782 stepsize= 1.000000
+dualbound = 3523388.786212, lowerbound=1287020.786212, norm of subgrad 1135.006954 dualbound = 3523388.786212, lowerbound=1287020.786212, norm of subgrad 36.413602 stepsize= 1.000000
+dualbound = 3523458.021026, lowerbound=1281770.021026, norm of subgrad 1132.681783 dualbound = 3523458.021026, lowerbound=1281770.021026, norm of subgrad 35.598242 stepsize= 1.000000
+dualbound = 3523537.320030, lowerbound=1288663.320030, norm of subgrad 1135.726781 dualbound = 3523537.320030, lowerbound=1288663.320030, norm of subgrad 35.934649 stepsize= 1.000000
+dualbound = 3523603.305060, lowerbound=1278985.305060, norm of subgrad 1131.465556 dualbound = 3523603.305060, lowerbound=1278985.305060, norm of subgrad 35.985900 stepsize= 1.000000
+dualbound = 3523670.539128, lowerbound=1285120.539128, norm of subgrad 1134.144849 dualbound = 3523670.539128, lowerbound=1285120.539128, norm of subgrad 35.088945 stepsize= 1.000000
+dualbound = 3523744.656608, lowerbound=1279853.656608, norm of subgrad 1131.843035 dualbound = 3523744.656608, lowerbound=1279853.656608, norm of subgrad 35.904282 stepsize= 1.000000
+dualbound = 3523815.808740, lowerbound=1286285.808740, norm of subgrad 1134.681809 dualbound = 3523815.808740, lowerbound=1286285.808740, norm of subgrad 35.890836 stepsize= 1.000000
+dualbound = 3523878.806198, lowerbound=1279255.806198, norm of subgrad 1131.587737 dualbound = 3523878.806198, lowerbound=1279255.806198, norm of subgrad 36.027732 stepsize= 1.000000
+dualbound = 3523966.755583, lowerbound=1279961.755583, norm of subgrad 1131.882395 dualbound = 3523966.755583, lowerbound=1279961.755583, norm of subgrad 35.832239 stepsize= 1.000000
+dualbound = 3524022.282861, lowerbound=1277578.282861, norm of subgrad 1130.856880 dualbound = 3524022.282861, lowerbound=1277578.282861, norm of subgrad 36.256410 stepsize= 1.000000
+dualbound = 3524089.419909, lowerbound=1281083.419909, norm of subgrad 1132.381305 dualbound = 3524089.419909, lowerbound=1281083.419909, norm of subgrad 35.653009 stepsize= 1.000000
+dualbound = 3524184.245930, lowerbound=1285808.245930, norm of subgrad 1134.449314 dualbound = 3524184.245930, lowerbound=1285808.245930, norm of subgrad 35.522191 stepsize= 1.000000
+dualbound = 3524256.020711, lowerbound=1282044.020711, norm of subgrad 1132.826121 dualbound = 3524256.020711, lowerbound=1282044.020711, norm of subgrad 36.369971 stepsize= 1.000000
+dualbound = 3524288.861409, lowerbound=1287370.861409, norm of subgrad 1135.178339 dualbound = 3524288.861409, lowerbound=1287370.861409, norm of subgrad 35.942185 stepsize= 1.000000
+dualbound = 3524386.784421, lowerbound=1284390.784421, norm of subgrad 1133.811177 dualbound = 3524386.784421, lowerbound=1284390.784421, norm of subgrad 35.141471 stepsize= 1.000000
+dualbound = 3524472.615126, lowerbound=1279643.615126, norm of subgrad 1131.725062 dualbound = 3524472.615126, lowerbound=1279643.615126, norm of subgrad 35.267984 stepsize= 1.000000
+dualbound = 3524541.022004, lowerbound=1286625.022004, norm of subgrad 1134.821582 dualbound = 3524541.022004, lowerbound=1286625.022004, norm of subgrad 35.544435 stepsize= 1.000000
+dualbound = 3524599.381557, lowerbound=1283725.381557, norm of subgrad 1133.547697 dualbound = 3524599.381557, lowerbound=1283725.381557, norm of subgrad 35.543770 stepsize= 1.000000
+dualbound = 3524661.829694, lowerbound=1281892.829694, norm of subgrad 1132.754532 dualbound = 3524661.829694, lowerbound=1281892.829694, norm of subgrad 36.089446 stepsize= 1.000000
+dualbound = 3524720.358719, lowerbound=1284737.358719, norm of subgrad 1134.012504 dualbound = 3524720.358719, lowerbound=1284737.358719, norm of subgrad 36.132105 stepsize= 1.000000
+dualbound = 3524793.311717, lowerbound=1281345.311717, norm of subgrad 1132.530049 dualbound = 3524793.311717, lowerbound=1281345.311717, norm of subgrad 36.768913 stepsize= 1.000000
+dualbound = 3524850.532443, lowerbound=1281988.532443, norm of subgrad 1132.815313 dualbound = 3524850.532443, lowerbound=1281988.532443, norm of subgrad 36.595365 stepsize= 1.000000
+dualbound = 3524953.849771, lowerbound=1280561.849771, norm of subgrad 1132.132876 dualbound = 3524953.849771, lowerbound=1280561.849771, norm of subgrad 35.585353 stepsize= 1.000000
+dualbound = 3525024.269422, lowerbound=1283830.269422, norm of subgrad 1133.586022 dualbound = 3525024.269422, lowerbound=1283830.269422, norm of subgrad 35.460114 stepsize= 1.000000
+dualbound = 3525119.367094, lowerbound=1283731.367094, norm of subgrad 1133.538869 dualbound = 3525119.367094, lowerbound=1283731.367094, norm of subgrad 35.694505 stepsize= 1.000000
+dualbound = 3525167.749544, lowerbound=1279800.749544, norm of subgrad 1131.832474 dualbound = 3525167.749544, lowerbound=1279800.749544, norm of subgrad 35.949721 stepsize= 1.000000
+dualbound = 3525245.748251, lowerbound=1285550.748251, norm of subgrad 1134.362265 dualbound = 3525245.748251, lowerbound=1285550.748251, norm of subgrad 36.124766 stepsize= 1.000000
+dualbound = 3525306.866521, lowerbound=1279335.866521, norm of subgrad 1131.608089 dualbound = 3525306.866521, lowerbound=1279335.866521, norm of subgrad 35.526304 stepsize= 1.000000
+dualbound = 3525412.362889, lowerbound=1284527.362889, norm of subgrad 1133.888162 dualbound = 3525412.362889, lowerbound=1284527.362889, norm of subgrad 35.784024 stepsize= 1.000000
+dualbound = 3525461.017627, lowerbound=1284175.017627, norm of subgrad 1133.733222 dualbound = 3525461.017627, lowerbound=1284175.017627, norm of subgrad 34.995067 stepsize= 1.000000
+dualbound = 3525537.445858, lowerbound=1282007.445858, norm of subgrad 1132.790557 dualbound = 3525537.445858, lowerbound=1282007.445858, norm of subgrad 35.824967 stepsize= 1.000000
+dualbound = 3525605.682067, lowerbound=1283766.682067, norm of subgrad 1133.562386 dualbound = 3525605.682067, lowerbound=1283766.682067, norm of subgrad 35.570159 stepsize= 1.000000
+dualbound = 3525659.671474, lowerbound=1278136.671474, norm of subgrad 1131.094015 dualbound = 3525659.671474, lowerbound=1278136.671474, norm of subgrad 35.930341 stepsize= 1.000000
+dualbound = 3525731.586077, lowerbound=1285489.586077, norm of subgrad 1134.329135 dualbound = 3525731.586077, lowerbound=1285489.586077, norm of subgrad 35.845706 stepsize= 1.000000
+dualbound = 3525819.706676, lowerbound=1282420.706676, norm of subgrad 1132.956180 dualbound = 3525819.706676, lowerbound=1282420.706676, norm of subgrad 35.455897 stepsize= 1.000000
+dualbound = 3525868.575964, lowerbound=1283381.575964, norm of subgrad 1133.398242 dualbound = 3525868.575964, lowerbound=1283381.575964, norm of subgrad 35.480548 stepsize= 1.000000
+dualbound = 3525958.159878, lowerbound=1280313.159878, norm of subgrad 1132.058373 dualbound = 3525958.159878, lowerbound=1280313.159878, norm of subgrad 36.504574 stepsize= 1.000000
+dualbound = 3526005.656163, lowerbound=1284138.656163, norm of subgrad 1133.736590 dualbound = 3526005.656163, lowerbound=1284138.656163, norm of subgrad 35.601914 stepsize= 1.000000
+dualbound = 3526090.061627, lowerbound=1284009.061627, norm of subgrad 1133.672819 dualbound = 3526090.061627, lowerbound=1284009.061627, norm of subgrad 35.908292 stepsize= 1.000000
+dualbound = 3526160.176346, lowerbound=1278961.176346, norm of subgrad 1131.437217 dualbound = 3526160.176346, lowerbound=1278961.176346, norm of subgrad 35.484007 stepsize= 1.000000
+dualbound = 3526250.601754, lowerbound=1281690.601754, norm of subgrad 1132.644517 dualbound = 3526250.601754, lowerbound=1281690.601754, norm of subgrad 35.824927 stepsize= 1.000000
+dualbound = 3526305.613864, lowerbound=1285536.613864, norm of subgrad 1134.318568 dualbound = 3526305.613864, lowerbound=1285536.613864, norm of subgrad 34.597863 stepsize= 1.000000
+dualbound = 3526399.932348, lowerbound=1283378.932348, norm of subgrad 1133.384724 dualbound = 3526399.932348, lowerbound=1283378.932348, norm of subgrad 35.725600 stepsize= 1.000000
+dualbound = 3526435.242865, lowerbound=1281302.242865, norm of subgrad 1132.491167 dualbound = 3526435.242865, lowerbound=1281302.242865, norm of subgrad 35.627384 stepsize= 1.000000
+dualbound = 3526505.853518, lowerbound=1285040.853518, norm of subgrad 1134.141902 dualbound = 3526505.853518, lowerbound=1285040.853518, norm of subgrad 36.160900 stepsize= 1.000000
+dualbound = 3526576.168380, lowerbound=1282585.168380, norm of subgrad 1133.057443 dualbound = 3526576.168380, lowerbound=1282585.168380, norm of subgrad 36.115300 stepsize= 1.000000
+dualbound = 3526646.814209, lowerbound=1282810.814209, norm of subgrad 1133.138921 dualbound = 3526646.814209, lowerbound=1282810.814209, norm of subgrad 35.547796 stepsize= 1.000000
+dualbound = 3526747.621761, lowerbound=1283475.621761, norm of subgrad 1133.413703 dualbound = 3526747.621761, lowerbound=1283475.621761, norm of subgrad 35.380892 stepsize= 1.000000
+dualbound = 3526809.998493, lowerbound=1284568.998493, norm of subgrad 1133.924159 dualbound = 3526809.998493, lowerbound=1284568.998493, norm of subgrad 35.740408 stepsize= 1.000000
+dualbound = 3526876.251967, lowerbound=1280872.251967, norm of subgrad 1132.291593 dualbound = 3526876.251967, lowerbound=1280872.251967, norm of subgrad 35.752671 stepsize= 1.000000
+dualbound = 3526939.802231, lowerbound=1282638.802231, norm of subgrad 1133.033010 dualbound = 3526939.802231, lowerbound=1282638.802231, norm of subgrad 34.475357 stepsize= 1.000000
+dualbound = 3527023.309837, lowerbound=1280577.309837, norm of subgrad 1132.132638 dualbound = 3527023.309837, lowerbound=1280577.309837, norm of subgrad 35.078592 stepsize= 1.000000
+dualbound = 3527109.297641, lowerbound=1286740.297641, norm of subgrad 1134.827431 dualbound = 3527109.297641, lowerbound=1286740.297641, norm of subgrad 34.336392 stepsize= 1.000000
+dualbound = 3527161.790520, lowerbound=1278244.790520, norm of subgrad 1131.113076 dualbound = 3527161.790520, lowerbound=1278244.790520, norm of subgrad 34.992755 stepsize= 1.000000
+dualbound = 3527216.172574, lowerbound=1286046.172574, norm of subgrad 1134.581497 dualbound = 3527216.172574, lowerbound=1286046.172574, norm of subgrad 35.824322 stepsize= 1.000000
+dualbound = 3527279.553259, lowerbound=1278875.553259, norm of subgrad 1131.428545 dualbound = 3527279.553259, lowerbound=1278875.553259, norm of subgrad 36.309512 stepsize= 1.000000
+dualbound = 3527356.681790, lowerbound=1287939.681790, norm of subgrad 1135.384817 dualbound = 3527356.681790, lowerbound=1287939.681790, norm of subgrad 35.158620 stepsize= 1.000000
+dualbound = 3527434.932007, lowerbound=1279194.932007, norm of subgrad 1131.542722 dualbound = 3527434.932007, lowerbound=1279194.932007, norm of subgrad 35.668617 stepsize= 1.000000
+dualbound = 3527515.275781, lowerbound=1284907.275781, norm of subgrad 1134.067139 dualbound = 3527515.275781, lowerbound=1284907.275781, norm of subgrad 35.795863 stepsize= 1.000000
+dualbound = 3527575.965750, lowerbound=1287022.965750, norm of subgrad 1135.013201 dualbound = 3527575.965750, lowerbound=1287022.965750, norm of subgrad 35.953998 stepsize= 1.000000
+dualbound = 3527621.878243, lowerbound=1286775.878243, norm of subgrad 1134.892893 dualbound = 3527621.878243, lowerbound=1286775.878243, norm of subgrad 35.382375 stepsize= 1.000000
+dualbound = 3527725.710013, lowerbound=1284850.710013, norm of subgrad 1134.032940 dualbound = 3527725.710013, lowerbound=1284850.710013, norm of subgrad 35.830598 stepsize= 1.000000
+dualbound = 3527799.906608, lowerbound=1282792.906608, norm of subgrad 1133.123077 dualbound = 3527799.906608, lowerbound=1282792.906608, norm of subgrad 35.343975 stepsize= 1.000000
+dualbound = 3527858.081693, lowerbound=1284306.081693, norm of subgrad 1133.786171 dualbound = 3527858.081693, lowerbound=1284306.081693, norm of subgrad 34.973920 stepsize= 1.000000
+dualbound = 3527950.699471, lowerbound=1280195.699471, norm of subgrad 1131.971157 dualbound = 3527950.699471, lowerbound=1280195.699471, norm of subgrad 35.434697 stepsize= 1.000000
+dualbound = 3528006.950174, lowerbound=1285166.950174, norm of subgrad 1134.178976 dualbound = 3528006.950174, lowerbound=1285166.950174, norm of subgrad 35.373022 stepsize= 1.000000
+dualbound = 3528074.658075, lowerbound=1286433.658075, norm of subgrad 1134.733298 dualbound = 3528074.658075, lowerbound=1286433.658075, norm of subgrad 35.407738 stepsize= 1.000000
+dualbound = 3528140.203572, lowerbound=1281694.203572, norm of subgrad 1132.661116 dualbound = 3528140.203572, lowerbound=1281694.203572, norm of subgrad 35.951989 stepsize= 1.000000
+dualbound = 3528221.223495, lowerbound=1288016.223495, norm of subgrad 1135.462119 dualbound = 3528221.223495, lowerbound=1288016.223495, norm of subgrad 36.592621 stepsize= 1.000000
+dualbound = 3528278.303406, lowerbound=1277898.303406, norm of subgrad 1130.984661 dualbound = 3528278.303406, lowerbound=1277898.303406, norm of subgrad 35.848011 stepsize= 1.000000
+dualbound = 3528360.691695, lowerbound=1288476.691695, norm of subgrad 1135.615556 dualbound = 3528360.691695, lowerbound=1288476.691695, norm of subgrad 35.048371 stepsize= 1.000000
+dualbound = 3528429.138580, lowerbound=1280133.138580, norm of subgrad 1131.925854 dualbound = 3528429.138580, lowerbound=1280133.138580, norm of subgrad 34.517342 stepsize= 1.000000
+dualbound = 3528531.537810, lowerbound=1282098.537810, norm of subgrad 1132.814874 dualbound = 3528531.537810, lowerbound=1282098.537810, norm of subgrad 35.684720 stepsize= 1.000000
+dualbound = 3528562.865881, lowerbound=1280950.865881, norm of subgrad 1132.312618 dualbound = 3528562.865881, lowerbound=1280950.865881, norm of subgrad 34.818502 stepsize= 1.000000
+dualbound = 3528650.661942, lowerbound=1285442.661942, norm of subgrad 1134.286852 dualbound = 3528650.661942, lowerbound=1285442.661942, norm of subgrad 35.380730 stepsize= 1.000000
+dualbound = 3528704.036002, lowerbound=1277990.036002, norm of subgrad 1130.994269 dualbound = 3528704.036002, lowerbound=1277990.036002, norm of subgrad 34.804799 stepsize= 1.000000
+dualbound = 3528792.261442, lowerbound=1287047.261442, norm of subgrad 1135.002318 dualbound = 3528792.261442, lowerbound=1287047.261442, norm of subgrad 35.654249 stepsize= 1.000000
+dualbound = 3528835.320023, lowerbound=1283979.320023, norm of subgrad 1133.691016 dualbound = 3528835.320023, lowerbound=1283979.320023, norm of subgrad 36.318846 stepsize= 1.000000
+dualbound = 3528888.169502, lowerbound=1286435.169502, norm of subgrad 1134.752030 dualbound = 3528888.169502, lowerbound=1286435.169502, norm of subgrad 35.774984 stepsize= 1.000000
+dualbound = 3528987.070366, lowerbound=1279602.070366, norm of subgrad 1131.734982 dualbound = 3528987.070366, lowerbound=1279602.070366, norm of subgrad 36.344200 stepsize= 1.000000
+dualbound = 3529038.613335, lowerbound=1284551.613335, norm of subgrad 1133.946477 dualbound = 3529038.613335, lowerbound=1284551.613335, norm of subgrad 36.531397 stepsize= 1.000000
+dualbound = 3529090.603633, lowerbound=1281279.603633, norm of subgrad 1132.471900 dualbound = 3529090.603633, lowerbound=1281279.603633, norm of subgrad 35.566702 stepsize= 1.000000
+dualbound = 3529184.646869, lowerbound=1287164.646869, norm of subgrad 1135.097197 dualbound = 3529184.646869, lowerbound=1287164.646869, norm of subgrad 37.081575 stepsize= 1.000000
+dualbound = 3529261.310557, lowerbound=1287872.310557, norm of subgrad 1135.378047 dualbound = 3529261.310557, lowerbound=1287872.310557, norm of subgrad 35.884031 stepsize= 1.000000
+dualbound = 3529321.622765, lowerbound=1284442.622765, norm of subgrad 1133.852999 dualbound = 3529321.622765, lowerbound=1284442.622765, norm of subgrad 35.218066 stepsize= 1.000000
+dualbound = 3529405.624050, lowerbound=1280741.624050, norm of subgrad 1132.197255 dualbound = 3529405.624050, lowerbound=1280741.624050, norm of subgrad 34.828168 stepsize= 1.000000
+dualbound = 3529481.431012, lowerbound=1287828.431012, norm of subgrad 1135.331859 dualbound = 3529481.431012, lowerbound=1287828.431012, norm of subgrad 35.011526 stepsize= 1.000000
+dualbound = 3529543.493376, lowerbound=1282939.493376, norm of subgrad 1133.193493 dualbound = 3529543.493376, lowerbound=1282939.493376, norm of subgrad 35.356221 stepsize= 1.000000
+dualbound = 3529604.989329, lowerbound=1292554.989329, norm of subgrad 1137.454610 dualbound = 3529604.989329, lowerbound=1292554.989329, norm of subgrad 36.186958 stepsize= 1.000000
+dualbound = 3529669.403660, lowerbound=1282368.403660, norm of subgrad 1132.951633 dualbound = 3529669.403660, lowerbound=1282368.403660, norm of subgrad 35.712943 stepsize= 1.000000
+dualbound = 3529744.475219, lowerbound=1282671.475219, norm of subgrad 1133.082731 dualbound = 3529744.475219, lowerbound=1282671.475219, norm of subgrad 35.778088 stepsize= 1.000000
+dualbound = 3529806.732052, lowerbound=1281469.732052, norm of subgrad 1132.540830 dualbound = 3529806.732052, lowerbound=1281469.732052, norm of subgrad 35.231475 stepsize= 1.000000
+dualbound = 3529892.273158, lowerbound=1281961.273158, norm of subgrad 1132.750755 dualbound = 3529892.273158, lowerbound=1281961.273158, norm of subgrad 35.334701 stepsize= 1.000000
+dualbound = 3529950.458092, lowerbound=1283665.458092, norm of subgrad 1133.518618 dualbound = 3529950.458092, lowerbound=1283665.458092, norm of subgrad 35.456804 stepsize= 1.000000
+dualbound = 3530017.833604, lowerbound=1285149.833604, norm of subgrad 1134.181129 dualbound = 3530017.833604, lowerbound=1285149.833604, norm of subgrad 35.838185 stepsize= 1.000000
+dualbound = 3530091.836327, lowerbound=1283093.836327, norm of subgrad 1133.280123 dualbound = 3530091.836327, lowerbound=1283093.836327, norm of subgrad 36.110978 stepsize= 1.000000
+dualbound = 3530149.200673, lowerbound=1282933.200673, norm of subgrad 1133.207484 dualbound = 3530149.200673, lowerbound=1282933.200673, norm of subgrad 35.824075 stepsize= 1.000000
+dualbound = 3530244.041522, lowerbound=1282390.041522, norm of subgrad 1132.931172 dualbound = 3530244.041522, lowerbound=1282390.041522, norm of subgrad 35.182962 stepsize= 1.000000
+dualbound = 3530306.928370, lowerbound=1285711.928370, norm of subgrad 1134.425374 dualbound = 3530306.928370, lowerbound=1285711.928370, norm of subgrad 35.663523 stepsize= 1.000000
+dualbound = 3530362.065202, lowerbound=1285739.065202, norm of subgrad 1134.459812 dualbound = 3530362.065202, lowerbound=1285739.065202, norm of subgrad 36.264815 stepsize= 1.000000
+dualbound = 3530439.522308, lowerbound=1283943.522308, norm of subgrad 1133.644354 dualbound = 3530439.522308, lowerbound=1283943.522308, norm of subgrad 35.825370 stepsize= 1.000000
+dualbound = 3530529.703599, lowerbound=1286035.703599, norm of subgrad 1134.567628 dualbound = 3530529.703599, lowerbound=1286035.703599, norm of subgrad 36.030283 stepsize= 1.000000
+dualbound = 3530585.830537, lowerbound=1281518.830537, norm of subgrad 1132.566480 dualbound = 3530585.830537, lowerbound=1281518.830537, norm of subgrad 35.272184 stepsize= 1.000000
+dualbound = 3530659.983949, lowerbound=1284679.983949, norm of subgrad 1133.951491 dualbound = 3530659.983949, lowerbound=1284679.983949, norm of subgrad 35.215812 stepsize= 1.000000
+dualbound = 3530741.649999, lowerbound=1277356.649999, norm of subgrad 1130.741195 dualbound = 3530741.649999, lowerbound=1277356.649999, norm of subgrad 36.064748 stepsize= 1.000000
+dualbound = 3530776.109062, lowerbound=1288490.109062, norm of subgrad 1135.663290 dualbound = 3530776.109062, lowerbound=1288490.109062, norm of subgrad 35.713570 stepsize= 1.000000
+dualbound = 3530878.880101, lowerbound=1281079.880101, norm of subgrad 1132.369145 dualbound = 3530878.880101, lowerbound=1281079.880101, norm of subgrad 35.815793 stepsize= 1.000000
+dualbound = 3530963.164294, lowerbound=1279894.164294, norm of subgrad 1131.840609 dualbound = 3530963.164294, lowerbound=1279894.164294, norm of subgrad 35.401754 stepsize= 1.000000
+dualbound = 3531019.165215, lowerbound=1281412.165215, norm of subgrad 1132.555590 dualbound = 3531019.165215, lowerbound=1281412.165215, norm of subgrad 36.414296 stepsize= 1.000000
+dualbound = 3531076.917962, lowerbound=1286466.917962, norm of subgrad 1134.758528 dualbound = 3531076.917962, lowerbound=1286466.917962, norm of subgrad 35.605516 stepsize= 1.000000
+dualbound = 3531146.939700, lowerbound=1286302.939700, norm of subgrad 1134.704781 dualbound = 3531146.939700, lowerbound=1286302.939700, norm of subgrad 36.359617 stepsize= 1.000000
+dualbound = 3531213.997307, lowerbound=1282218.997307, norm of subgrad 1132.887901 dualbound = 3531213.997307, lowerbound=1282218.997307, norm of subgrad 35.819794 stepsize= 1.000000
+dualbound = 3531304.934176, lowerbound=1287986.934176, norm of subgrad 1135.408268 dualbound = 3531304.934176, lowerbound=1287986.934176, norm of subgrad 35.439200 stepsize= 1.000000
+dualbound = 3531379.538323, lowerbound=1283345.538323, norm of subgrad 1133.377492 dualbound = 3531379.538323, lowerbound=1283345.538323, norm of subgrad 35.687591 stepsize= 1.000000
+dualbound = 3531442.527850, lowerbound=1284036.527850, norm of subgrad 1133.692872 dualbound = 3531442.527850, lowerbound=1284036.527850, norm of subgrad 35.860696 stepsize= 1.000000
+dualbound = 3531522.713530, lowerbound=1281225.713530, norm of subgrad 1132.426030 dualbound = 3531522.713530, lowerbound=1281225.713530, norm of subgrad 35.258838 stepsize= 1.000000
+dualbound = 3531584.365785, lowerbound=1282629.365785, norm of subgrad 1133.038554 dualbound = 3531584.365785, lowerbound=1282629.365785, norm of subgrad 34.765676 stepsize= 1.000000
+dualbound = 3531676.877014, lowerbound=1283155.877014, norm of subgrad 1133.251904 dualbound = 3531676.877014, lowerbound=1283155.877014, norm of subgrad 34.590623 stepsize= 1.000000
+dualbound = 3531747.092962, lowerbound=1288568.092962, norm of subgrad 1135.677812 dualbound = 3531747.092962, lowerbound=1288568.092962, norm of subgrad 35.583928 stepsize= 1.000000
+dualbound = 3531784.177222, lowerbound=1287420.177222, norm of subgrad 1135.161741 dualbound = 3531784.177222, lowerbound=1287420.177222, norm of subgrad 34.771889 stepsize= 1.000000
+dualbound = 3531878.308949, lowerbound=1284001.308949, norm of subgrad 1133.681308 dualbound = 3531878.308949, lowerbound=1284001.308949, norm of subgrad 36.416092 stepsize= 1.000000
+dualbound = 3531907.040758, lowerbound=1280455.040758, norm of subgrad 1132.124128 dualbound = 3531907.040758, lowerbound=1280455.040758, norm of subgrad 35.759360 stepsize= 1.000000
+dualbound = 3531998.724581, lowerbound=1285218.724581, norm of subgrad 1134.197833 dualbound = 3531998.724581, lowerbound=1285218.724581, norm of subgrad 35.744703 stepsize= 1.000000
+dualbound = 3532079.023738, lowerbound=1281836.023738, norm of subgrad 1132.707387 dualbound = 3532079.023738, lowerbound=1281836.023738, norm of subgrad 35.641256 stepsize= 1.000000
+dualbound = 3532136.784523, lowerbound=1288121.784523, norm of subgrad 1135.494071 dualbound = 3532136.784523, lowerbound=1288121.784523, norm of subgrad 35.815650 stepsize= 1.000000
+dualbound = 3532223.258471, lowerbound=1281500.258471, norm of subgrad 1132.555632 dualbound = 3532223.258471, lowerbound=1281500.258471, norm of subgrad 35.615642 stepsize= 1.000000
+dualbound = 3532278.777397, lowerbound=1285763.777397, norm of subgrad 1134.443378 dualbound = 3532278.777397, lowerbound=1285763.777397, norm of subgrad 35.405069 stepsize= 1.000000
+dualbound = 3532357.072735, lowerbound=1285167.072735, norm of subgrad 1134.171095 dualbound = 3532357.072735, lowerbound=1285167.072735, norm of subgrad 35.430147 stepsize= 1.000000
+dualbound = 3532427.157277, lowerbound=1280021.157277, norm of subgrad 1131.885664 dualbound = 3532427.157277, lowerbound=1280021.157277, norm of subgrad 34.843716 stepsize= 1.000000
+dualbound = 3532522.689243, lowerbound=1283189.689243, norm of subgrad 1133.297264 dualbound = 3532522.689243, lowerbound=1283189.689243, norm of subgrad 35.616456 stepsize= 1.000000
+dualbound = 3532591.221210, lowerbound=1285010.221210, norm of subgrad 1134.110321 dualbound = 3532591.221210, lowerbound=1285010.221210, norm of subgrad 35.560258 stepsize= 1.000000
+dualbound = 3532638.862290, lowerbound=1279241.862290, norm of subgrad 1131.586878 dualbound = 3532638.862290, lowerbound=1279241.862290, norm of subgrad 35.981121 stepsize= 1.000000
+dualbound = 3532712.386624, lowerbound=1286710.386624, norm of subgrad 1134.855668 dualbound = 3532712.386624, lowerbound=1286710.386624, norm of subgrad 35.503864 stepsize= 1.000000
+dualbound = 3532796.896738, lowerbound=1283487.896738, norm of subgrad 1133.422206 dualbound = 3532796.896738, lowerbound=1283487.896738, norm of subgrad 35.249257 stepsize= 1.000000
+dualbound = 3532852.427777, lowerbound=1287889.427777, norm of subgrad 1135.367530 dualbound = 3532852.427777, lowerbound=1287889.427777, norm of subgrad 35.007585 stepsize= 1.000000
+dualbound = 3532936.704832, lowerbound=1281420.704832, norm of subgrad 1132.531105 dualbound = 3532936.704832, lowerbound=1281420.704832, norm of subgrad 35.920427 stepsize= 1.000000
+dualbound = 3532989.450277, lowerbound=1285720.450277, norm of subgrad 1134.423400 dualbound = 3532989.450277, lowerbound=1285720.450277, norm of subgrad 35.337593 stepsize= 1.000000
+dualbound = 3533063.359305, lowerbound=1287764.359305, norm of subgrad 1135.330507 dualbound = 3533063.359305, lowerbound=1287764.359305, norm of subgrad 35.845628 stepsize= 1.000000
+dualbound = 3533115.394189, lowerbound=1283626.394189, norm of subgrad 1133.533588 dualbound = 3533115.394189, lowerbound=1283626.394189, norm of subgrad 36.387290 stepsize= 1.000000
+dualbound = 3533170.470577, lowerbound=1286478.470577, norm of subgrad 1134.764500 dualbound = 3533170.470577, lowerbound=1286478.470577, norm of subgrad 35.596016 stepsize= 1.000000
+dualbound = 3533261.627859, lowerbound=1280491.627859, norm of subgrad 1132.116879 dualbound = 3533261.627859, lowerbound=1280491.627859, norm of subgrad 35.890908 stepsize= 1.000000
+dualbound = 3533359.551727, lowerbound=1285307.551727, norm of subgrad 1134.226852 dualbound = 3533359.551727, lowerbound=1285307.551727, norm of subgrad 35.509490 stepsize= 1.000000
+dualbound = 3533413.880954, lowerbound=1288530.880954, norm of subgrad 1135.665832 dualbound = 3533413.880954, lowerbound=1288530.880954, norm of subgrad 35.501116 stepsize= 1.000000
+dualbound = 3533467.092883, lowerbound=1283983.092883, norm of subgrad 1133.673274 dualbound = 3533467.092883, lowerbound=1283983.092883, norm of subgrad 35.849853 stepsize= 1.000000
+dualbound = 3533556.982959, lowerbound=1281672.982959, norm of subgrad 1132.635856 dualbound = 3533556.982959, lowerbound=1281672.982959, norm of subgrad 35.789525 stepsize= 1.000000
+dualbound = 3533624.869139, lowerbound=1285789.869139, norm of subgrad 1134.445622 dualbound = 3533624.869139, lowerbound=1285789.869139, norm of subgrad 35.282945 stepsize= 1.000000
+dualbound = 3533685.291092, lowerbound=1280514.291092, norm of subgrad 1132.144996 dualbound = 3533685.291092, lowerbound=1280514.291092, norm of subgrad 36.033623 stepsize= 1.000000
+dualbound = 3533751.233856, lowerbound=1279764.233856, norm of subgrad 1131.769514 dualbound = 3533751.233856, lowerbound=1279764.233856, norm of subgrad 34.697878 stepsize= 1.000000
+dualbound = 3533848.480857, lowerbound=1288629.480857, norm of subgrad 1135.681945 dualbound = 3533848.480857, lowerbound=1288629.480857, norm of subgrad 35.231336 stepsize= 1.000000
+dualbound = 3533899.597706, lowerbound=1280602.597706, norm of subgrad 1132.134532 dualbound = 3533899.597706, lowerbound=1280602.597706, norm of subgrad 34.309137 stepsize= 1.000000
+dualbound = 3533971.721415, lowerbound=1285826.721415, norm of subgrad 1134.467594 dualbound = 3533971.721415, lowerbound=1285826.721415, norm of subgrad 35.526380 stepsize= 1.000000
+dualbound = 3534036.996077, lowerbound=1282033.996077, norm of subgrad 1132.808455 dualbound = 3534036.996077, lowerbound=1282033.996077, norm of subgrad 35.864671 stepsize= 1.000000
+dualbound = 3534101.943563, lowerbound=1285453.943563, norm of subgrad 1134.294029 dualbound = 3534101.943563, lowerbound=1285453.943563, norm of subgrad 35.127589 stepsize= 1.000000
+dualbound = 3534187.490453, lowerbound=1283197.490453, norm of subgrad 1133.293206 dualbound = 3534187.490453, lowerbound=1283197.490453, norm of subgrad 35.235591 stepsize= 1.000000
+dualbound = 3534234.251951, lowerbound=1285597.251951, norm of subgrad 1134.375269 dualbound = 3534234.251951, lowerbound=1285597.251951, norm of subgrad 35.450832 stepsize= 1.000000
+dualbound = 3534328.369546, lowerbound=1286845.369546, norm of subgrad 1134.912935 dualbound = 3534328.369546, lowerbound=1286845.369546, norm of subgrad 35.722788 stepsize= 1.000000
+dualbound = 3534387.431035, lowerbound=1284882.431035, norm of subgrad 1134.042517 dualbound = 3534387.431035, lowerbound=1284882.431035, norm of subgrad 35.057973 stepsize= 1.000000
+dualbound = 3534472.257243, lowerbound=1282845.257243, norm of subgrad 1133.144411 dualbound = 3534472.257243, lowerbound=1282845.257243, norm of subgrad 35.437638 stepsize= 1.000000
+dualbound = 3534525.547393, lowerbound=1283542.547393, norm of subgrad 1133.458225 dualbound = 3534525.547393, lowerbound=1283542.547393, norm of subgrad 35.189347 stepsize= 1.000000
+dualbound = 3534576.031005, lowerbound=1288756.031005, norm of subgrad 1135.787406 dualbound = 3534576.031005, lowerbound=1288756.031005, norm of subgrad 36.159143 stepsize= 1.000000
+dualbound = 3534668.682185, lowerbound=1281858.682185, norm of subgrad 1132.753143 dualbound = 3534668.682185, lowerbound=1281858.682185, norm of subgrad 36.927648 stepsize= 1.000000
+dualbound = 3534718.218721, lowerbound=1282614.218721, norm of subgrad 1133.060113 dualbound = 3534718.218721, lowerbound=1282614.218721, norm of subgrad 35.504035 stepsize= 1.000000
+dualbound = 3534832.191446, lowerbound=1283372.191446, norm of subgrad 1133.368956 dualbound = 3534832.191446, lowerbound=1283372.191446, norm of subgrad 35.594560 stepsize= 1.000000
+dualbound = 3534872.596802, lowerbound=1284462.596802, norm of subgrad 1133.899289 dualbound = 3534872.596802, lowerbound=1284462.596802, norm of subgrad 36.130394 stepsize= 1.000000
+dualbound = 3534929.871243, lowerbound=1284422.871243, norm of subgrad 1133.861928 dualbound = 3534929.871243, lowerbound=1284422.871243, norm of subgrad 35.738976 stepsize= 1.000000
+dualbound = 3535006.593126, lowerbound=1286803.593126, norm of subgrad 1134.938586 dualbound = 3535006.593126, lowerbound=1286803.593126, norm of subgrad 36.860845 stepsize= 1.000000
+dualbound = 3535081.865630, lowerbound=1284491.865630, norm of subgrad 1133.922778 dualbound = 3535081.865630, lowerbound=1284491.865630, norm of subgrad 36.936060 stepsize= 1.000000
+dualbound = 3535143.537263, lowerbound=1290664.537263, norm of subgrad 1136.630343 dualbound = 3535143.537263, lowerbound=1290664.537263, norm of subgrad 36.409774 stepsize= 1.000000
+dualbound = 3535226.518555, lowerbound=1281765.518555, norm of subgrad 1132.689065 dualbound = 3535226.518555, lowerbound=1281765.518555, norm of subgrad 36.082978 stepsize= 1.000000
+dualbound = 3535300.763176, lowerbound=1281943.763176, norm of subgrad 1132.758475 dualbound = 3535300.763176, lowerbound=1281943.763176, norm of subgrad 35.668538 stepsize= 1.000000
+dualbound = 3535363.781961, lowerbound=1278555.781961, norm of subgrad 1131.224903 dualbound = 3535363.781961, lowerbound=1278555.781961, norm of subgrad 34.307707 stepsize= 1.000000
+dualbound = 3535450.522658, lowerbound=1285614.522658, norm of subgrad 1134.354672 dualbound = 3535450.522658, lowerbound=1285614.522658, norm of subgrad 35.110407 stepsize= 1.000000
+dualbound = 3535535.144501, lowerbound=1283672.144501, norm of subgrad 1133.488926 dualbound = 3535535.144501, lowerbound=1283672.144501, norm of subgrad 34.779618 stepsize= 1.000000
+dualbound = 3535590.621074, lowerbound=1289260.621074, norm of subgrad 1135.978266 dualbound = 3535590.621074, lowerbound=1289260.621074, norm of subgrad 35.234593 stepsize= 1.000000
+dualbound = 3535641.098838, lowerbound=1286059.098838, norm of subgrad 1134.563836 dualbound = 3535641.098838, lowerbound=1286059.098838, norm of subgrad 35.021105 stepsize= 1.000000
+dualbound = 3535693.832427, lowerbound=1278384.832427, norm of subgrad 1131.208572 dualbound = 3535693.832427, lowerbound=1278384.832427, norm of subgrad 36.065684 stepsize= 1.000000
+dualbound = 3535770.527694, lowerbound=1282025.527694, norm of subgrad 1132.803393 dualbound = 3535770.527694, lowerbound=1282025.527694, norm of subgrad 35.981874 stepsize= 1.000000
+dualbound = 3535845.316062, lowerbound=1286783.316062, norm of subgrad 1134.911590 dualbound = 3535845.316062, lowerbound=1286783.316062, norm of subgrad 36.273797 stepsize= 1.000000
+dualbound = 3535930.463397, lowerbound=1286649.463397, norm of subgrad 1134.833672 dualbound = 3535930.463397, lowerbound=1286649.463397, norm of subgrad 35.821046 stepsize= 1.000000
+dualbound = 3536010.413608, lowerbound=1287131.413608, norm of subgrad 1135.062736 dualbound = 3536010.413608, lowerbound=1287131.413608, norm of subgrad 36.276028 stepsize= 1.000000
+dualbound = 3536075.249265, lowerbound=1284105.249265, norm of subgrad 1133.698041 dualbound = 3536075.249265, lowerbound=1284105.249265, norm of subgrad 35.083267 stepsize= 1.000000
+dualbound = 3536157.416367, lowerbound=1285181.416367, norm of subgrad 1134.157139 dualbound = 3536157.416367, lowerbound=1285181.416367, norm of subgrad 34.830548 stepsize= 1.000000
+dualbound = 3536212.429286, lowerbound=1281978.429286, norm of subgrad 1132.768480 dualbound = 3536212.429286, lowerbound=1281978.429286, norm of subgrad 35.228013 stepsize= 1.000000
+dualbound = 3536302.573812, lowerbound=1288092.573812, norm of subgrad 1135.431889 dualbound = 3536302.573812, lowerbound=1288092.573812, norm of subgrad 34.686374 stepsize= 1.000000
+dualbound = 3536377.448086, lowerbound=1283796.448086, norm of subgrad 1133.561400 dualbound = 3536377.448086, lowerbound=1283796.448086, norm of subgrad 35.211848 stepsize= 1.000000
+dualbound = 3536437.523208, lowerbound=1286622.523208, norm of subgrad 1134.835901 dualbound = 3536437.523208, lowerbound=1286622.523208, norm of subgrad 35.917616 stepsize= 1.000000
+dualbound = 3536489.962655, lowerbound=1284350.962655, norm of subgrad 1133.845652 dualbound = 3536489.962655, lowerbound=1284350.962655, norm of subgrad 36.158532 stepsize= 1.000000
+dualbound = 3536552.028748, lowerbound=1287691.028748, norm of subgrad 1135.306139 dualbound = 3536552.028748, lowerbound=1287691.028748, norm of subgrad 35.931408 stepsize= 1.000000
+dualbound = 3536626.477921, lowerbound=1278753.477921, norm of subgrad 1131.375039 dualbound = 3536626.477921, lowerbound=1278753.477921, norm of subgrad 36.475323 stepsize= 1.000000
+dualbound = 3536685.143287, lowerbound=1291837.143287, norm of subgrad 1137.124507 dualbound = 3536685.143287, lowerbound=1291837.143287, norm of subgrad 35.688449 stepsize= 1.000000
+dualbound = 3536762.767276, lowerbound=1281211.767276, norm of subgrad 1132.440183 dualbound = 3536762.767276, lowerbound=1281211.767276, norm of subgrad 35.869541 stepsize= 1.000000
+dualbound = 3536842.340857, lowerbound=1288453.340857, norm of subgrad 1135.610559 dualbound = 3536842.340857, lowerbound=1288453.340857, norm of subgrad 35.179164 stepsize= 1.000000
+dualbound = 3536880.341624, lowerbound=1278797.341624, norm of subgrad 1131.387795 dualbound = 3536880.341624, lowerbound=1278797.341624, norm of subgrad 35.763120 stepsize= 1.000000
+dualbound = 3536965.497953, lowerbound=1289941.497953, norm of subgrad 1136.255912 dualbound = 3536965.497953, lowerbound=1289941.497953, norm of subgrad 34.945047 stepsize= 1.000000
+dualbound = 3537046.665630, lowerbound=1279628.665630, norm of subgrad 1131.725968 dualbound = 3537046.665630, lowerbound=1279628.665630, norm of subgrad 35.442456 stepsize= 1.000000
+dualbound = 3537112.650419, lowerbound=1293522.650419, norm of subgrad 1137.860558 dualbound = 3537112.650419, lowerbound=1293522.650419, norm of subgrad 35.636846 stepsize= 1.000000
+dualbound = 3537180.110300, lowerbound=1283766.110300, norm of subgrad 1133.553312 dualbound = 3537180.110300, lowerbound=1283766.110300, norm of subgrad 35.276903 stepsize= 1.000000
+dualbound = 3537223.712312, lowerbound=1284419.712312, norm of subgrad 1133.864944 dualbound = 3537223.712312, lowerbound=1284419.712312, norm of subgrad 35.687561 stepsize= 1.000000
+dualbound = 3537324.591835, lowerbound=1282455.591835, norm of subgrad 1132.984815 dualbound = 3537324.591835, lowerbound=1282455.591835, norm of subgrad 36.053842 stepsize= 1.000000
+dualbound = 3537384.852830, lowerbound=1287246.852830, norm of subgrad 1135.095966 dualbound = 3537384.852830, lowerbound=1287246.852830, norm of subgrad 35.443772 stepsize= 1.000000
+dualbound = 3537456.300637, lowerbound=1286160.300637, norm of subgrad 1134.639723 dualbound = 3537456.300637, lowerbound=1286160.300637, norm of subgrad 36.310437 stepsize= 1.000000
+dualbound = 3537497.664416, lowerbound=1289187.664416, norm of subgrad 1135.977405 dualbound = 3537497.664416, lowerbound=1289187.664416, norm of subgrad 36.032815 stepsize= 1.000000
+dualbound = 3537603.197975, lowerbound=1283779.197975, norm of subgrad 1133.563936 dualbound = 3537603.197975, lowerbound=1283779.197975, norm of subgrad 35.965728 stepsize= 1.000000
+dualbound = 3537660.943599, lowerbound=1286040.943599, norm of subgrad 1134.532478 dualbound = 3537660.943599, lowerbound=1286040.943599, norm of subgrad 34.361979 stepsize= 1.000000
+dualbound = 3537762.851220, lowerbound=1278131.851220, norm of subgrad 1131.058730 dualbound = 3537762.851220, lowerbound=1278131.851220, norm of subgrad 35.551478 stepsize= 1.000000
+dualbound = 3537790.403047, lowerbound=1282757.403047, norm of subgrad 1133.094613 dualbound = 3537790.403047, lowerbound=1282757.403047, norm of subgrad 34.257143 stepsize= 1.000000
+dualbound = 3537904.784783, lowerbound=1283261.784783, norm of subgrad 1133.314072 dualbound = 3537904.784783, lowerbound=1283261.784783, norm of subgrad 35.403132 stepsize= 1.000000
+dualbound = 3537951.365480, lowerbound=1284640.365480, norm of subgrad 1133.960037 dualbound = 3537951.365480, lowerbound=1284640.365480, norm of subgrad 35.659230 stepsize= 1.000000
+dualbound = 3538033.854756, lowerbound=1283632.854756, norm of subgrad 1133.518793 dualbound = 3538033.854756, lowerbound=1283632.854756, norm of subgrad 36.255886 stepsize= 1.000000
+dualbound = 3538088.428366, lowerbound=1284191.428366, norm of subgrad 1133.744428 dualbound = 3538088.428366, lowerbound=1284191.428366, norm of subgrad 35.207579 stepsize= 1.000000
+dualbound = 3538204.124820, lowerbound=1283321.124820, norm of subgrad 1133.363633 dualbound = 3538204.124820, lowerbound=1283321.124820, norm of subgrad 36.162086 stepsize= 1.000000
+dualbound = 3538238.759532, lowerbound=1290046.759532, norm of subgrad 1136.360752 dualbound = 3538238.759532, lowerbound=1290046.759532, norm of subgrad 36.105882 stepsize= 1.000000
+dualbound = 3538298.748530, lowerbound=1284674.748530, norm of subgrad 1133.954915 dualbound = 3538298.748530, lowerbound=1284674.748530, norm of subgrad 35.199276 stepsize= 1.000000
+dualbound = 3538402.563701, lowerbound=1287525.563701, norm of subgrad 1135.186577 dualbound = 3538402.563701, lowerbound=1287525.563701, norm of subgrad 35.025921 stepsize= 1.000000
+dualbound = 3538431.316753, lowerbound=1286564.316753, norm of subgrad 1134.825677 dualbound = 3538431.316753, lowerbound=1286564.316753, norm of subgrad 35.968779 stepsize= 1.000000
+dualbound = 3538519.004173, lowerbound=1287414.004173, norm of subgrad 1135.155057 dualbound = 3538519.004173, lowerbound=1287414.004173, norm of subgrad 35.365059 stepsize= 1.000000
+dualbound = 3538598.598561, lowerbound=1277448.598561, norm of subgrad 1130.770798 dualbound = 3538598.598561, lowerbound=1277448.598561, norm of subgrad 35.687454 stepsize= 1.000000
+dualbound = 3538656.471131, lowerbound=1288000.471131, norm of subgrad 1135.428761 dualbound = 3538656.471131, lowerbound=1288000.471131, norm of subgrad 35.438292 stepsize= 1.000000
+dualbound = 3538715.604003, lowerbound=1282077.604003, norm of subgrad 1132.843592 dualbound = 3538715.604003, lowerbound=1282077.604003, norm of subgrad 36.278546 stepsize= 1.000000
+dualbound = 3538778.449405, lowerbound=1287847.449405, norm of subgrad 1135.368420 dualbound = 3538778.449405, lowerbound=1287847.449405, norm of subgrad 35.732974 stepsize= 1.000000
+dualbound = 3538867.335881, lowerbound=1282424.335881, norm of subgrad 1132.947632 dualbound = 3538867.335881, lowerbound=1282424.335881, norm of subgrad 35.140952 stepsize= 1.000000
+dualbound = 3538948.883746, lowerbound=1288183.883746, norm of subgrad 1135.517012 dualbound = 3538948.883746, lowerbound=1288183.883746, norm of subgrad 36.007608 stepsize= 1.000000
+dualbound = 3538983.666339, lowerbound=1287339.666339, norm of subgrad 1135.159754 dualbound = 3538983.666339, lowerbound=1287339.666339, norm of subgrad 35.815954 stepsize= 1.000000
+dualbound = 3539086.312911, lowerbound=1284272.312911, norm of subgrad 1133.781422 dualbound = 3539086.312911, lowerbound=1284272.312911, norm of subgrad 35.925570 stepsize= 1.000000
+dualbound = 3539147.462759, lowerbound=1282118.462759, norm of subgrad 1132.849709 dualbound = 3539147.462759, lowerbound=1282118.462759, norm of subgrad 35.932574 stepsize= 1.000000
+dualbound = 3539208.633788, lowerbound=1285951.633789, norm of subgrad 1134.526612 dualbound = 3539208.633788, lowerbound=1285951.633789, norm of subgrad 35.498888 stepsize= 1.000000
+dualbound = 3539281.059331, lowerbound=1287311.059331, norm of subgrad 1135.133058 dualbound = 3539281.059331, lowerbound=1287311.059331, norm of subgrad 35.894645 stepsize= 1.000000
+dualbound = 3539366.725358, lowerbound=1286989.725358, norm of subgrad 1134.980936 dualbound = 3539366.725358, lowerbound=1286989.725358, norm of subgrad 35.744455 stepsize= 1.000000
+dualbound = 3539442.364866, lowerbound=1285587.364866, norm of subgrad 1134.354162 dualbound = 3539442.364866, lowerbound=1285587.364866, norm of subgrad 35.321941 stepsize= 1.000000
+dualbound = 3539520.878675, lowerbound=1286967.878675, norm of subgrad 1134.980563 dualbound = 3539520.878675, lowerbound=1286967.878675, norm of subgrad 35.937638 stepsize= 1.000000
+dualbound = 3539547.973872, lowerbound=1279419.973872, norm of subgrad 1131.652320 dualbound = 3539547.973872, lowerbound=1279419.973872, norm of subgrad 35.271734 stepsize= 1.000000
+dualbound = 3539625.597740, lowerbound=1287591.597740, norm of subgrad 1135.258824 dualbound = 3539625.597740, lowerbound=1287591.597740, norm of subgrad 36.036424 stepsize= 1.000000
+dualbound = 3539706.051039, lowerbound=1283106.051039, norm of subgrad 1133.281982 dualbound = 3539706.051039, lowerbound=1283106.051039, norm of subgrad 36.089518 stepsize= 1.000000
+dualbound = 3539793.272129, lowerbound=1282723.272129, norm of subgrad 1133.083965 dualbound = 3539793.272129, lowerbound=1282723.272129, norm of subgrad 35.259340 stepsize= 1.000000
+dualbound = 3539859.135732, lowerbound=1282700.135732, norm of subgrad 1133.082140 dualbound = 3539859.135732, lowerbound=1282700.135732, norm of subgrad 35.225894 stepsize= 1.000000
+dualbound = 3539883.888675, lowerbound=1279387.888675, norm of subgrad 1131.653166 dualbound = 3539883.888675, lowerbound=1279387.888675, norm of subgrad 35.717684 stepsize= 1.000000
+dualbound = 3540001.417448, lowerbound=1284686.417448, norm of subgrad 1133.961383 dualbound = 3540001.417448, lowerbound=1284686.417448, norm of subgrad 36.048977 stepsize= 1.000000
+dualbound = 3540059.484904, lowerbound=1288655.484904, norm of subgrad 1135.706161 dualbound = 3540059.484904, lowerbound=1288655.484904, norm of subgrad 35.086571 stepsize= 1.000000
+dualbound = 3540114.929886, lowerbound=1282479.929886, norm of subgrad 1133.003941 dualbound = 3540114.929886, lowerbound=1282479.929886, norm of subgrad 35.685361 stepsize= 1.000000
+dualbound = 3540214.415658, lowerbound=1283484.415658, norm of subgrad 1133.429052 dualbound = 3540214.415658, lowerbound=1283484.415658, norm of subgrad 35.727941 stepsize= 1.000000
+dualbound = 3540278.419102, lowerbound=1283840.419102, norm of subgrad 1133.571973 dualbound = 3540278.419102, lowerbound=1283840.419102, norm of subgrad 34.770727 stepsize= 1.000000
+dualbound = 3540356.153525, lowerbound=1286897.153525, norm of subgrad 1134.913280 dualbound = 3540356.153525, lowerbound=1286897.153525, norm of subgrad 34.766858 stepsize= 1.000000
+dualbound = 3540401.795322, lowerbound=1284835.795322, norm of subgrad 1134.007405 dualbound = 3540401.795322, lowerbound=1284835.795322, norm of subgrad 34.389559 stepsize= 1.000000
+dualbound = 3540493.979353, lowerbound=1282577.979353, norm of subgrad 1133.014113 dualbound = 3540493.979353, lowerbound=1282577.979353, norm of subgrad 35.145185 stepsize= 1.000000
+dualbound = 3540548.872795, lowerbound=1285975.872795, norm of subgrad 1134.533328 dualbound = 3540548.872795, lowerbound=1285975.872795, norm of subgrad 35.283048 stepsize= 1.000000
+dualbound = 3540613.020996, lowerbound=1285720.020996, norm of subgrad 1134.435111 dualbound = 3540613.020996, lowerbound=1285720.020996, norm of subgrad 35.876848 stepsize= 1.000000
+dualbound = 3540666.432629, lowerbound=1280596.432629, norm of subgrad 1132.157424 dualbound = 3540666.432629, lowerbound=1280596.432629, norm of subgrad 35.176862 stepsize= 1.000000
+dualbound = 3540787.272204, lowerbound=1286463.272204, norm of subgrad 1134.749872 dualbound = 3540787.272204, lowerbound=1286463.272204, norm of subgrad 36.260717 stepsize= 1.000000
+dualbound = 3540825.275668, lowerbound=1285712.275668, norm of subgrad 1134.408337 dualbound = 3540825.275668, lowerbound=1285712.275668, norm of subgrad 34.756344 stepsize= 1.000000
+dualbound = 3540935.525591, lowerbound=1289411.525591, norm of subgrad 1136.036762 dualbound = 3540935.525591, lowerbound=1289411.525591, norm of subgrad 35.752621 stepsize= 1.000000
+dualbound = 3540990.221295, lowerbound=1282099.221295, norm of subgrad 1132.809879 dualbound = 3540990.221295, lowerbound=1282099.221295, norm of subgrad 34.838136 stepsize= 1.000000
+dualbound = 3541035.431653, lowerbound=1283594.431653, norm of subgrad 1133.509785 dualbound = 3541035.431653, lowerbound=1283594.431653, norm of subgrad 35.989031 stepsize= 1.000000
+dualbound = 3541105.725755, lowerbound=1286469.725755, norm of subgrad 1134.748309 dualbound = 3541105.725755, lowerbound=1286469.725755, norm of subgrad 35.416015 stepsize= 1.000000
+dualbound = 3541175.953365, lowerbound=1279381.953365, norm of subgrad 1131.632870 dualbound = 3541175.953365, lowerbound=1279381.953365, norm of subgrad 35.794240 stepsize= 1.000000
+dualbound = 3541261.702414, lowerbound=1289520.702414, norm of subgrad 1136.098896 dualbound = 3541261.702414, lowerbound=1289520.702414, norm of subgrad 35.857343 stepsize= 1.000000
+dualbound = 3541307.151368, lowerbound=1285727.151368, norm of subgrad 1134.448391 dualbound = 3541307.151368, lowerbound=1285727.151368, norm of subgrad 35.936735 stepsize= 1.000000
+dualbound = 3541386.669702, lowerbound=1284951.669702, norm of subgrad 1134.087153 dualbound = 3541386.669702, lowerbound=1284951.669702, norm of subgrad 35.798301 stepsize= 1.000000
+dualbound = 3541471.730963, lowerbound=1280535.730963, norm of subgrad 1132.166388 dualbound = 3541471.730963, lowerbound=1280535.730963, norm of subgrad 36.743180 stepsize= 1.000000
+dualbound = 3541510.758775, lowerbound=1285774.758775, norm of subgrad 1134.474662 dualbound = 3541510.758775, lowerbound=1285774.758775, norm of subgrad 36.014272 stepsize= 1.000000
+dualbound = 3541580.124558, lowerbound=1290572.124558, norm of subgrad 1136.598049 dualbound = 3541580.124558, lowerbound=1290572.124558, norm of subgrad 36.774526 stepsize= 1.000000
+dualbound = 3541647.606216, lowerbound=1279601.606216, norm of subgrad 1131.742288 dualbound = 3541647.606216, lowerbound=1279601.606216, norm of subgrad 36.145285 stepsize= 1.000000
+dualbound = 3541752.567625, lowerbound=1286588.567625, norm of subgrad 1134.795386 dualbound = 3541752.567625, lowerbound=1286588.567625, norm of subgrad 35.734597 stepsize= 1.000000
+dualbound = 3541815.906886, lowerbound=1282480.906886, norm of subgrad 1133.000400 dualbound = 3541815.906886, lowerbound=1282480.906886, norm of subgrad 35.669865 stepsize= 1.000000
+dualbound = 3541866.210644, lowerbound=1282905.210644, norm of subgrad 1133.169542 dualbound = 3541866.210644, lowerbound=1282905.210644, norm of subgrad 34.904208 stepsize= 1.000000
+dualbound = 3541980.271610, lowerbound=1282648.271610, norm of subgrad 1133.054841 dualbound = 3541980.271610, lowerbound=1282648.271610, norm of subgrad 35.763962 stepsize= 1.000000
+dualbound = 3542031.988933, lowerbound=1290543.988933, norm of subgrad 1136.520562 dualbound = 3542031.988933, lowerbound=1290543.988933, norm of subgrad 34.448764 stepsize= 1.000000
+dualbound = 3542102.783992, lowerbound=1282785.783992, norm of subgrad 1133.106255 dualbound = 3542102.783992, lowerbound=1282785.783992, norm of subgrad 34.853910 stepsize= 1.000000
+dualbound = 3542171.877324, lowerbound=1283491.877324, norm of subgrad 1133.423962 dualbound = 3542171.877324, lowerbound=1283491.877324, norm of subgrad 35.029892 stepsize= 1.000000
+dualbound = 3542229.029655, lowerbound=1286225.029655, norm of subgrad 1134.636519 dualbound = 3542229.029655, lowerbound=1286225.029655, norm of subgrad 35.102027 stepsize= 1.000000
+dualbound = 3542291.863674, lowerbound=1282419.863674, norm of subgrad 1132.973020 dualbound = 3542291.863674, lowerbound=1282419.863674, norm of subgrad 35.648759 stepsize= 1.000000
+dualbound = 3542371.153335, lowerbound=1284730.153335, norm of subgrad 1133.955975 dualbound = 3542371.153335, lowerbound=1284730.153335, norm of subgrad 34.717282 stepsize= 1.000000
+dualbound = 3542447.696106, lowerbound=1291338.696106, norm of subgrad 1136.878488 dualbound = 3542447.696106, lowerbound=1291338.696106, norm of subgrad 35.079093 stepsize= 1.000000
+dualbound = 3542523.517982, lowerbound=1286415.517982, norm of subgrad 1134.702832 dualbound = 3542523.517982, lowerbound=1286415.517982, norm of subgrad 34.796866 stepsize= 1.000000
+dualbound = 3542578.042220, lowerbound=1285150.042220, norm of subgrad 1134.192683 dualbound = 3542578.042220, lowerbound=1285150.042220, norm of subgrad 36.021164 stepsize= 1.000000
+dualbound = 3542640.832183, lowerbound=1283802.832183, norm of subgrad 1133.577008 dualbound = 3542640.832183, lowerbound=1283802.832183, norm of subgrad 35.451234 stepsize= 1.000000
+dualbound = 3542711.580452, lowerbound=1291285.580452, norm of subgrad 1136.882395 dualbound = 3542711.580452, lowerbound=1291285.580452, norm of subgrad 35.871274 stepsize= 1.000000
+dualbound = 3542787.315331, lowerbound=1286405.315331, norm of subgrad 1134.714200 dualbound = 3542787.315331, lowerbound=1286405.315331, norm of subgrad 35.309133 stepsize= 1.000000
+dualbound = 3542884.469657, lowerbound=1283564.469657, norm of subgrad 1133.450250 dualbound = 3542884.469657, lowerbound=1283564.469657, norm of subgrad 35.244210 stepsize= 1.000000
+dualbound = 3542933.799903, lowerbound=1284884.799903, norm of subgrad 1134.056789 dualbound = 3542933.799903, lowerbound=1284884.799903, norm of subgrad 35.345866 stepsize= 1.000000
+dualbound = 3542997.313656, lowerbound=1282661.313656, norm of subgrad 1133.064126 dualbound = 3542997.313656, lowerbound=1282661.313656, norm of subgrad 35.164098 stepsize= 1.000000
+dualbound = 3543083.748979, lowerbound=1282861.748979, norm of subgrad 1133.141540 dualbound = 3543083.748979, lowerbound=1282861.748979, norm of subgrad 35.134532 stepsize= 1.000000
+dualbound = 3543146.033836, lowerbound=1280747.033836, norm of subgrad 1132.189045 dualbound = 3543146.033836, lowerbound=1280747.033836, norm of subgrad 34.165551 stepsize= 1.000000
+dualbound = 3543245.761553, lowerbound=1290273.761553, norm of subgrad 1136.410472 dualbound = 3543245.761553, lowerbound=1290273.761553, norm of subgrad 35.422136 stepsize= 1.000000
+dualbound = 3543272.596384, lowerbound=1292192.596384, norm of subgrad 1137.267161 dualbound = 3543272.596384, lowerbound=1292192.596384, norm of subgrad 34.797052 stepsize= 1.000000
+dualbound = 3543375.666306, lowerbound=1282132.666306, norm of subgrad 1132.798599 dualbound = 3543375.666306, lowerbound=1282132.666306, norm of subgrad 34.685298 stepsize= 1.000000
+dualbound = 3543425.876406, lowerbound=1285997.876406, norm of subgrad 1134.525397 dualbound = 3543425.876406, lowerbound=1285997.876406, norm of subgrad 34.644049 stepsize= 1.000000
+dualbound = 3543488.248985, lowerbound=1283076.248985, norm of subgrad 1133.241479 dualbound = 3543488.248985, lowerbound=1283076.248985, norm of subgrad 34.962445 stepsize= 1.000000
+dualbound = 3543556.198665, lowerbound=1285852.198665, norm of subgrad 1134.516725 dualbound = 3543556.198665, lowerbound=1285852.198665, norm of subgrad 36.659919 stepsize= 1.000000
+dualbound = 3543620.196689, lowerbound=1280659.196689, norm of subgrad 1132.216056 dualbound = 3543620.196689, lowerbound=1280659.196689, norm of subgrad 36.304243 stepsize= 1.000000
+dualbound = 3543672.031299, lowerbound=1283072.031299, norm of subgrad 1133.264767 dualbound = 3543672.031299, lowerbound=1283072.031299, norm of subgrad 35.620705 stepsize= 1.000000
+dualbound = 3543776.549780, lowerbound=1285516.549780, norm of subgrad 1134.330000 dualbound = 3543776.549780, lowerbound=1285516.549780, norm of subgrad 35.951613 stepsize= 1.000000
+dualbound = 3543835.351765, lowerbound=1288745.351765, norm of subgrad 1135.761573 dualbound = 3543835.351765, lowerbound=1288745.351765, norm of subgrad 35.606207 stepsize= 1.000000
+dualbound = 3543900.635549, lowerbound=1284891.635549, norm of subgrad 1134.059362 dualbound = 3543900.635549, lowerbound=1284891.635549, norm of subgrad 35.556768 stepsize= 1.000000
+dualbound = 3543963.491564, lowerbound=1286279.491564, norm of subgrad 1134.671975 dualbound = 3543963.491564, lowerbound=1286279.491564, norm of subgrad 35.550753 stepsize= 1.000000
+dualbound = 3544059.903331, lowerbound=1282689.903331, norm of subgrad 1133.091745 dualbound = 3544059.903331, lowerbound=1282689.903331, norm of subgrad 36.102794 stepsize= 1.000000
+dualbound = 3544110.373855, lowerbound=1282231.373855, norm of subgrad 1132.864235 dualbound = 3544110.373855, lowerbound=1282231.373855, norm of subgrad 34.647807 stepsize= 1.000000
+dualbound = 3544213.952513, lowerbound=1281402.952513, norm of subgrad 1132.527683 dualbound = 3544213.952513, lowerbound=1281402.952513, norm of subgrad 36.326005 stepsize= 1.000000
+dualbound = 3544242.014829, lowerbound=1287693.014829, norm of subgrad 1135.278827 dualbound = 3544242.014829, lowerbound=1287693.014829, norm of subgrad 34.540734 stepsize= 1.000000
+dualbound = 3544342.273680, lowerbound=1282978.273680, norm of subgrad 1133.230018 dualbound = 3544342.273680, lowerbound=1282978.273680, norm of subgrad 36.500121 stepsize= 1.000000
+dualbound = 3544377.824307, lowerbound=1293628.824307, norm of subgrad 1137.912925 dualbound = 3544377.824307, lowerbound=1293628.824307, norm of subgrad 35.391392 stepsize= 1.000000
+dualbound = 3544453.747509, lowerbound=1284558.747509, norm of subgrad 1133.942127 dualbound = 3544453.747509, lowerbound=1284558.747509, norm of subgrad 36.632270 stepsize= 1.000000
+dualbound = 3544517.128333, lowerbound=1283143.128333, norm of subgrad 1133.268780 dualbound = 3544517.128333, lowerbound=1283143.128333, norm of subgrad 34.905312 stepsize= 1.000000
+dualbound = 3544607.948501, lowerbound=1282861.948501, norm of subgrad 1133.169426 dualbound = 3544607.948501, lowerbound=1282861.948501, norm of subgrad 36.080745 stepsize= 1.000000
+dualbound = 3544673.427721, lowerbound=1279890.427721, norm of subgrad 1131.853095 dualbound = 3544673.427721, lowerbound=1279890.427721, norm of subgrad 35.587627 stepsize= 1.000000
+dualbound = 3544759.961338, lowerbound=1283736.961338, norm of subgrad 1133.554569 dualbound = 3544759.961338, lowerbound=1283736.961338, norm of subgrad 35.993522 stepsize= 1.000000
+dualbound = 3544818.535583, lowerbound=1286607.535583, norm of subgrad 1134.831942 dualbound = 3544818.535583, lowerbound=1286607.535583, norm of subgrad 35.980192 stepsize= 1.000000
+dualbound = 3544902.851472, lowerbound=1284500.851472, norm of subgrad 1133.892346 dualbound = 3544902.851472, lowerbound=1284500.851472, norm of subgrad 35.990497 stepsize= 1.000000
+dualbound = 3544937.123112, lowerbound=1286395.123112, norm of subgrad 1134.760822 dualbound = 3544937.123112, lowerbound=1286395.123112, norm of subgrad 36.349300 stepsize= 1.000000
+dualbound = 3545005.344542, lowerbound=1284189.344542, norm of subgrad 1133.781436 dualbound = 3545005.344542, lowerbound=1284189.344542, norm of subgrad 36.595374 stepsize= 1.000000
+dualbound = 3545088.022632, lowerbound=1288747.022632, norm of subgrad 1135.734574 dualbound = 3545088.022632, lowerbound=1288747.022632, norm of subgrad 35.052505 stepsize= 1.000000
+dualbound = 3545195.610590, lowerbound=1284651.610590, norm of subgrad 1133.930161 dualbound = 3545195.610590, lowerbound=1284651.610590, norm of subgrad 35.406044 stepsize= 1.000000
+dualbound = 3545261.995378, lowerbound=1288006.995378, norm of subgrad 1135.403450 dualbound = 3545261.995378, lowerbound=1288006.995378, norm of subgrad 34.646570 stepsize= 1.000000
+dualbound = 3545329.376835, lowerbound=1281462.376835, norm of subgrad 1132.530078 dualbound = 3545329.376835, lowerbound=1281462.376835, norm of subgrad 35.062536 stepsize= 1.000000
+dualbound = 3545386.961168, lowerbound=1291719.961168, norm of subgrad 1137.060667 dualbound = 3545386.961168, lowerbound=1291719.961168, norm of subgrad 35.278667 stepsize= 1.000000
+dualbound = 3545452.362540, lowerbound=1277905.362540, norm of subgrad 1130.986898 dualbound = 3545452.362540, lowerbound=1277905.362540, norm of subgrad 35.936073 stepsize= 1.000000
+dualbound = 3545522.851751, lowerbound=1291534.851751, norm of subgrad 1136.963435 dualbound = 3545522.851751, lowerbound=1291534.851751, norm of subgrad 34.949810 stepsize= 1.000000
+dualbound = 3545601.439789, lowerbound=1277146.439789, norm of subgrad 1130.636299 dualbound = 3545601.439789, lowerbound=1277146.439789, norm of subgrad 35.645309 stepsize= 1.000000
+dualbound = 3545633.032460, lowerbound=1287569.032460, norm of subgrad 1135.262539 dualbound = 3545633.032460, lowerbound=1287569.032460, norm of subgrad 35.827262 stepsize= 1.000000
+dualbound = 3545721.553672, lowerbound=1286118.553672, norm of subgrad 1134.593123 dualbound = 3545721.553672, lowerbound=1286118.553672, norm of subgrad 35.658396 stepsize= 1.000000
+dualbound = 3545793.804415, lowerbound=1282589.804415, norm of subgrad 1133.044926 dualbound = 3545793.804415, lowerbound=1282589.804415, norm of subgrad 35.682639 stepsize= 1.000000
+dualbound = 3545855.914336, lowerbound=1288662.914336, norm of subgrad 1135.734967 dualbound = 3545855.914336, lowerbound=1288662.914336, norm of subgrad 35.959838 stepsize= 1.000000
+dualbound = 3545920.129906, lowerbound=1287665.129906, norm of subgrad 1135.292090 dualbound = 3545920.129906, lowerbound=1287665.129906, norm of subgrad 35.877787 stepsize= 1.000000
+dualbound = 3545999.239881, lowerbound=1280315.239881, norm of subgrad 1132.043833 dualbound = 3545999.239881, lowerbound=1280315.239881, norm of subgrad 35.876315 stepsize= 1.000000
+dualbound = 3546057.319780, lowerbound=1285454.319780, norm of subgrad 1134.291550 dualbound = 3546057.319780, lowerbound=1285454.319780, norm of subgrad 34.943954 stepsize= 1.000000
+dualbound = 3546154.343763, lowerbound=1285064.343763, norm of subgrad 1134.127569 dualbound = 3546154.343763, lowerbound=1285064.343763, norm of subgrad 35.749461 stepsize= 1.000000
+dualbound = 3546185.977379, lowerbound=1285089.977379, norm of subgrad 1134.185601 dualbound = 3546185.977379, lowerbound=1285089.977379, norm of subgrad 36.312995 stepsize= 1.000000
+dualbound = 3546287.508399, lowerbound=1289498.508399, norm of subgrad 1136.098371 dualbound = 3546287.508399, lowerbound=1289498.508399, norm of subgrad 36.366620 stepsize= 1.000000
+dualbound = 3546332.437281, lowerbound=1289548.437281, norm of subgrad 1136.141029 dualbound = 3546332.437281, lowerbound=1289548.437281, norm of subgrad 36.234361 stepsize= 1.000000
+dualbound = 3546424.073232, lowerbound=1282699.073232, norm of subgrad 1133.108588 dualbound = 3546424.073232, lowerbound=1282699.073232, norm of subgrad 36.436739 stepsize= 1.000000
+dualbound = 3546483.183654, lowerbound=1287242.183654, norm of subgrad 1135.105803 dualbound = 3546483.183654, lowerbound=1287242.183654, norm of subgrad 35.806570 stepsize= 1.000000
+dualbound = 3546578.167706, lowerbound=1282238.167706, norm of subgrad 1132.875619 dualbound = 3546578.167706, lowerbound=1282238.167706, norm of subgrad 35.552553 stepsize= 1.000000
+dualbound = 3546646.193133, lowerbound=1283476.193133, norm of subgrad 1133.420572 dualbound = 3546646.193133, lowerbound=1283476.193133, norm of subgrad 35.128698 stepsize= 1.000000
+dualbound = 3546717.913124, lowerbound=1285454.913124, norm of subgrad 1134.297101 dualbound = 3546717.913124, lowerbound=1285454.913124, norm of subgrad 35.308922 stepsize= 1.000000
+dualbound = 3546790.171980, lowerbound=1283223.171980, norm of subgrad 1133.312919 dualbound = 3546790.171980, lowerbound=1283223.171980, norm of subgrad 35.316552 stepsize= 1.000000
+dualbound = 3546852.146118, lowerbound=1285315.146118, norm of subgrad 1134.246951 dualbound = 3546852.146118, lowerbound=1285315.146118, norm of subgrad 35.538347 stepsize= 1.000000
+dualbound = 3546917.046300, lowerbound=1286837.046300, norm of subgrad 1134.909708 dualbound = 3546917.046300, lowerbound=1286837.046300, norm of subgrad 35.325631 stepsize= 1.000000
+dualbound = 3547007.001024, lowerbound=1282964.001024, norm of subgrad 1133.178274 dualbound = 3547007.001024, lowerbound=1282964.001024, norm of subgrad 34.913532 stepsize= 1.000000
+dualbound = 3547056.473767, lowerbound=1287732.473767, norm of subgrad 1135.299288 dualbound = 3547056.473767, lowerbound=1287732.473767, norm of subgrad 34.949574 stepsize= 1.000000
+dualbound = 3547127.287049, lowerbound=1284606.287049, norm of subgrad 1133.916349 dualbound = 3547127.287049, lowerbound=1284606.287049, norm of subgrad 35.082949 stepsize= 1.000000
+dualbound = 3547197.338107, lowerbound=1289410.338107, norm of subgrad 1136.021716 dualbound = 3547197.338107, lowerbound=1289410.338107, norm of subgrad 34.713845 stepsize= 1.000000
+dualbound = 3547278.977482, lowerbound=1287018.977482, norm of subgrad 1134.994263 dualbound = 3547278.977482, lowerbound=1287018.977482, norm of subgrad 35.702092 stepsize= 1.000000
+dualbound = 3547339.988857, lowerbound=1287489.988857, norm of subgrad 1135.188085 dualbound = 3547339.988857, lowerbound=1287489.988857, norm of subgrad 34.971580 stepsize= 1.000000
+dualbound = 3547424.093757, lowerbound=1287195.093757, norm of subgrad 1135.059071 dualbound = 3547424.093757, lowerbound=1287195.093757, norm of subgrad 35.328528 stepsize= 1.000000
+dualbound = 3547474.749573, lowerbound=1284726.749573, norm of subgrad 1133.980930 dualbound = 3547474.749573, lowerbound=1284726.749573, norm of subgrad 35.166117 stepsize= 1.000000
+dualbound = 3547533.506508, lowerbound=1281809.506508, norm of subgrad 1132.704951 dualbound = 3547533.506508, lowerbound=1281809.506508, norm of subgrad 35.633649 stepsize= 1.000000
+dualbound = 3547616.848499, lowerbound=1283954.848499, norm of subgrad 1133.651555 dualbound = 3547616.848499, lowerbound=1283954.848499, norm of subgrad 35.976965 stepsize= 1.000000
+dualbound = 3547669.810854, lowerbound=1285195.810854, norm of subgrad 1134.201839 dualbound = 3547669.810854, lowerbound=1285195.810854, norm of subgrad 35.650559 stepsize= 1.000000
+dualbound = 3547772.052197, lowerbound=1285392.052197, norm of subgrad 1134.275563 dualbound = 3547772.052197, lowerbound=1285392.052197, norm of subgrad 35.933847 stepsize= 1.000000
+dualbound = 3547830.864914, lowerbound=1287652.864914, norm of subgrad 1135.283605 dualbound = 3547830.864914, lowerbound=1287652.864914, norm of subgrad 35.704520 stepsize= 1.000000
+dualbound = 3547878.992529, lowerbound=1282126.992529, norm of subgrad 1132.880838 dualbound = 3547878.992529, lowerbound=1282126.992529, norm of subgrad 36.607753 stepsize= 1.000000
+dualbound = 3547961.532987, lowerbound=1286520.532987, norm of subgrad 1134.790964 dualbound = 3547961.532987, lowerbound=1286520.532987, norm of subgrad 36.229000 stepsize= 1.000000
+dualbound = 3548024.898301, lowerbound=1283443.898301, norm of subgrad 1133.428383 dualbound = 3548024.898301, lowerbound=1283443.898301, norm of subgrad 35.768217 stepsize= 1.000000
+dualbound = 3548085.834978, lowerbound=1288484.834978, norm of subgrad 1135.659207 dualbound = 3548085.834978, lowerbound=1288484.834978, norm of subgrad 36.026888 stepsize= 1.000000
+dualbound = 3548156.848799, lowerbound=1284732.848799, norm of subgrad 1134.012279 dualbound = 3548156.848799, lowerbound=1284732.848799, norm of subgrad 36.359508 stepsize= 1.000000
+dualbound = 3548250.829442, lowerbound=1285643.829442, norm of subgrad 1134.379491 dualbound = 3548250.829442, lowerbound=1285643.829442, norm of subgrad 35.594672 stepsize= 1.000000
+dualbound = 3548288.641796, lowerbound=1281861.641796, norm of subgrad 1132.763718 dualbound = 3548288.641796, lowerbound=1281861.641796, norm of subgrad 36.466592 stepsize= 1.000000
+dualbound = 3548366.866783, lowerbound=1283135.866783, norm of subgrad 1133.286754 dualbound = 3548366.866783, lowerbound=1283135.866783, norm of subgrad 35.794203 stepsize= 1.000000
+dualbound = 3548450.373058, lowerbound=1286991.373058, norm of subgrad 1134.968446 dualbound = 3548450.373058, lowerbound=1286991.373058, norm of subgrad 35.291731 stepsize= 1.000000
+dualbound = 3548546.686546, lowerbound=1285079.686546, norm of subgrad 1134.102591 dualbound = 3548546.686546, lowerbound=1285079.686546, norm of subgrad 34.717625 stepsize= 1.000000
+dualbound = 3548601.909414, lowerbound=1283078.909414, norm of subgrad 1133.270007 dualbound = 3548601.909414, lowerbound=1283078.909414, norm of subgrad 35.738255 stepsize= 1.000000
+dualbound = 3548631.552583, lowerbound=1286061.552583, norm of subgrad 1134.598851 dualbound = 3548631.552583, lowerbound=1286061.552583, norm of subgrad 35.814008 stepsize= 1.000000
+dualbound = 3548723.036057, lowerbound=1286452.036057, norm of subgrad 1134.748887 dualbound = 3548723.036057, lowerbound=1286452.036057, norm of subgrad 35.978931 stepsize= 1.000000
+dualbound = 3548816.125105, lowerbound=1286800.125105, norm of subgrad 1134.889477 dualbound = 3548816.125105, lowerbound=1286800.125105, norm of subgrad 35.596194 stepsize= 1.000000
+dualbound = 3548875.542502, lowerbound=1287907.542502, norm of subgrad 1135.389599 dualbound = 3548875.542502, lowerbound=1287907.542502, norm of subgrad 35.516438 stepsize= 1.000000
+dualbound = 3548946.622799, lowerbound=1286673.622799, norm of subgrad 1134.816559 dualbound = 3548946.622799, lowerbound=1286673.622799, norm of subgrad 34.728667 stepsize= 1.000000
+dualbound = 3549030.873078, lowerbound=1283835.873078, norm of subgrad 1133.569968 dualbound = 3549030.873078, lowerbound=1283835.873078, norm of subgrad 35.060666 stepsize= 1.000000
+dualbound = 3549074.232769, lowerbound=1284408.232769, norm of subgrad 1133.838275 dualbound = 3549074.232769, lowerbound=1284408.232769, norm of subgrad 34.990852 stepsize= 1.000000
+dualbound = 3549157.613482, lowerbound=1282381.613482, norm of subgrad 1132.963200 dualbound = 3549157.613482, lowerbound=1282381.613482, norm of subgrad 36.157720 stepsize= 1.000000
+dualbound = 3549201.035081, lowerbound=1289124.035081, norm of subgrad 1135.926510 dualbound = 3549201.035081, lowerbound=1289124.035081, norm of subgrad 35.333010 stepsize= 1.000000
+dualbound = 3549281.637976, lowerbound=1281862.637976, norm of subgrad 1132.727080 dualbound = 3549281.637976, lowerbound=1281862.637976, norm of subgrad 35.897115 stepsize= 1.000000
+dualbound = 3549334.467059, lowerbound=1282727.467059, norm of subgrad 1133.110969 dualbound = 3549334.467059, lowerbound=1282727.467059, norm of subgrad 35.578492 stepsize= 1.000000
+dualbound = 3549425.276861, lowerbound=1283284.276861, norm of subgrad 1133.335465 dualbound = 3549425.276861, lowerbound=1283284.276861, norm of subgrad 35.437407 stepsize= 1.000000
+dualbound = 3549506.108904, lowerbound=1287744.108904, norm of subgrad 1135.332158 dualbound = 3549506.108904, lowerbound=1287744.108904, norm of subgrad 36.274399 stepsize= 1.000000
+dualbound = 3549545.203886, lowerbound=1286091.203886, norm of subgrad 1134.603545 dualbound = 3549545.203886, lowerbound=1286091.203886, norm of subgrad 35.680457 stepsize= 1.000000
+dualbound = 3549645.852593, lowerbound=1289743.852593, norm of subgrad 1136.180819 dualbound = 3549645.852593, lowerbound=1289743.852593, norm of subgrad 35.547837 stepsize= 1.000000
+dualbound = 3549715.292898, lowerbound=1281212.292898, norm of subgrad 1132.430701 dualbound = 3549715.292898, lowerbound=1281212.292898, norm of subgrad 35.446302 stepsize= 1.000000
+dualbound = 3549767.522843, lowerbound=1286666.522843, norm of subgrad 1134.845154 dualbound = 3549767.522843, lowerbound=1286666.522843, norm of subgrad 35.485630 stepsize= 1.000000
+dualbound = 3549842.604008, lowerbound=1283128.604008, norm of subgrad 1133.272961 dualbound = 3549842.604008, lowerbound=1283128.604008, norm of subgrad 35.413008 stepsize= 1.000000
+dualbound = 3549923.712642, lowerbound=1285269.712642, norm of subgrad 1134.238384 dualbound = 3549923.712642, lowerbound=1285269.712642, norm of subgrad 36.167784 stepsize= 1.000000
+dualbound = 3549976.628883, lowerbound=1285303.628883, norm of subgrad 1134.254658 dualbound = 3549976.628883, lowerbound=1285303.628883, norm of subgrad 35.817820 stepsize= 1.000000
+dualbound = 3550043.177932, lowerbound=1285303.177932, norm of subgrad 1134.247847 dualbound = 3550043.177932, lowerbound=1285303.177932, norm of subgrad 35.798730 stepsize= 1.000000
+dualbound = 3550106.282560, lowerbound=1282782.282560, norm of subgrad 1133.125449 dualbound = 3550106.282560, lowerbound=1282782.282560, norm of subgrad 35.413340 stepsize= 1.000000
+dualbound = 3550208.516114, lowerbound=1288182.516114, norm of subgrad 1135.499677 dualbound = 3550208.516114, lowerbound=1288182.516114, norm of subgrad 35.766375 stepsize= 1.000000
+dualbound = 3550259.537936, lowerbound=1281483.537936, norm of subgrad 1132.535888 dualbound = 3550259.537936, lowerbound=1281483.537936, norm of subgrad 34.713424 stepsize= 1.000000
+dualbound = 3550358.866703, lowerbound=1284756.866703, norm of subgrad 1133.973927 dualbound = 3550358.866703, lowerbound=1284756.866703, norm of subgrad 35.204102 stepsize= 1.000000
+dualbound = 3550407.091678, lowerbound=1286015.091678, norm of subgrad 1134.551494 dualbound = 3550407.091678, lowerbound=1286015.091678, norm of subgrad 35.216828 stepsize= 1.000000
+dualbound = 3550476.899384, lowerbound=1280948.899384, norm of subgrad 1132.317491 dualbound = 3550476.899384, lowerbound=1280948.899384, norm of subgrad 35.550073 stepsize= 1.000000
+dualbound = 3550522.755276, lowerbound=1287334.755276, norm of subgrad 1135.126757 dualbound = 3550522.755276, lowerbound=1287334.755276, norm of subgrad 34.983652 stepsize= 1.000000
+dualbound = 3550651.561369, lowerbound=1286718.561369, norm of subgrad 1134.831512 dualbound = 3550651.561369, lowerbound=1286718.561369, norm of subgrad 35.395001 stepsize= 1.000000
+dualbound = 3550707.691400, lowerbound=1283103.691400, norm of subgrad 1133.239468 dualbound = 3550707.691400, lowerbound=1283103.691400, norm of subgrad 34.411190 stepsize= 1.000000
+dualbound = 3550776.267640, lowerbound=1285269.267640, norm of subgrad 1134.211738 dualbound = 3550776.267640, lowerbound=1285269.267640, norm of subgrad 35.150764 stepsize= 1.000000
+dualbound = 3550810.914124, lowerbound=1286035.914124, norm of subgrad 1134.564636 dualbound = 3550810.914124, lowerbound=1286035.914124, norm of subgrad 35.151764 stepsize= 1.000000
+dualbound = 3550900.361129, lowerbound=1289248.361129, norm of subgrad 1135.974190 dualbound = 3550900.361129, lowerbound=1289248.361129, norm of subgrad 35.755377 stepsize= 1.000000
+dualbound = 3550977.384560, lowerbound=1287017.384560, norm of subgrad 1134.983870 dualbound = 3550977.384560, lowerbound=1287017.384560, norm of subgrad 35.327375 stepsize= 1.000000
+dualbound = 3551005.772943, lowerbound=1285207.772943, norm of subgrad 1134.204908 dualbound = 3551005.772943, lowerbound=1285207.772943, norm of subgrad 35.233342 stepsize= 1.000000
+dualbound = 3551093.809147, lowerbound=1287563.809147, norm of subgrad 1135.241740 dualbound = 3551093.809147, lowerbound=1287563.809147, norm of subgrad 36.028270 stepsize= 1.000000
+dualbound = 3551166.618385, lowerbound=1287019.618385, norm of subgrad 1135.007321 dualbound = 3551166.618385, lowerbound=1287019.618385, norm of subgrad 35.983458 stepsize= 1.000000
+dualbound = 3551231.196319, lowerbound=1284188.196319, norm of subgrad 1133.744767 dualbound = 3551231.196319, lowerbound=1284188.196319, norm of subgrad 35.405903 stepsize= 1.000000
+dualbound = 3551313.150951, lowerbound=1285692.150951, norm of subgrad 1134.418860 dualbound = 3551313.150951, lowerbound=1285692.150951, norm of subgrad 35.999370 stepsize= 1.000000
+dualbound = 3551362.274340, lowerbound=1282403.274340, norm of subgrad 1133.026158 dualbound = 3551362.274340, lowerbound=1282403.274340, norm of subgrad 37.337962 stepsize= 1.000000
+dualbound = 3551404.647801, lowerbound=1290933.647801, norm of subgrad 1136.761474 dualbound = 3551404.647801, lowerbound=1290933.647801, norm of subgrad 36.542762 stepsize= 1.000000
+dualbound = 3551505.505538, lowerbound=1287878.505538, norm of subgrad 1135.408960 dualbound = 3551505.505538, lowerbound=1287878.505538, norm of subgrad 37.092556 stepsize= 1.000000
+dualbound = 3551577.802968, lowerbound=1290465.802968, norm of subgrad 1136.524000 dualbound = 3551577.802968, lowerbound=1290465.802968, norm of subgrad 35.962445 stepsize= 1.000000
+dualbound = 3551665.050733, lowerbound=1285162.050733, norm of subgrad 1134.153451 dualbound = 3551665.050733, lowerbound=1285162.050733, norm of subgrad 35.060630 stepsize= 1.000000
+dualbound = 3551749.731383, lowerbound=1286419.731383, norm of subgrad 1134.706452 dualbound = 3551749.731383, lowerbound=1286419.731383, norm of subgrad 34.981147 stepsize= 1.000000
+dualbound = 3551795.940419, lowerbound=1280935.940419, norm of subgrad 1132.305586 dualbound = 3551795.940419, lowerbound=1280935.940419, norm of subgrad 35.017268 stepsize= 1.000000
+dualbound = 3551888.484309, lowerbound=1284279.484309, norm of subgrad 1133.749745 dualbound = 3551888.484309, lowerbound=1284279.484309, norm of subgrad 34.663293 stepsize= 1.000000
+dualbound = 3551956.106033, lowerbound=1285834.106033, norm of subgrad 1134.478341 dualbound = 3551956.106033, lowerbound=1285834.106033, norm of subgrad 35.701845 stepsize= 1.000000
+dualbound = 3552029.109250, lowerbound=1284458.109250, norm of subgrad 1133.852331 dualbound = 3552029.109250, lowerbound=1284458.109250, norm of subgrad 35.156837 stepsize= 1.000000
+dualbound = 3552090.920631, lowerbound=1282182.920631, norm of subgrad 1132.832256 dualbound = 3552090.920631, lowerbound=1282182.920631, norm of subgrad 34.464640 stepsize= 1.000000
+dualbound = 3552165.378527, lowerbound=1286967.378527, norm of subgrad 1134.971091 dualbound = 3552165.378527, lowerbound=1286967.378527, norm of subgrad 35.587328 stepsize= 1.000000
+dualbound = 3552229.441014, lowerbound=1283839.441014, norm of subgrad 1133.605064 dualbound = 3552229.441014, lowerbound=1283839.441014, norm of subgrad 35.847768 stepsize= 1.000000
+dualbound = 3552299.053261, lowerbound=1280844.053261, norm of subgrad 1132.273842 dualbound = 3552299.053261, lowerbound=1280844.053261, norm of subgrad 35.631619 stepsize= 1.000000
+dualbound = 3552376.348200, lowerbound=1288300.348200, norm of subgrad 1135.534829 dualbound = 3552376.348200, lowerbound=1288300.348200, norm of subgrad 34.875420 stepsize= 1.000000
+dualbound = 3552453.493826, lowerbound=1280829.493826, norm of subgrad 1132.271829 dualbound = 3552453.493826, lowerbound=1280829.493826, norm of subgrad 35.876812 stepsize= 1.000000
+dualbound = 3552509.978297, lowerbound=1285928.978297, norm of subgrad 1134.517068 dualbound = 3552509.978297, lowerbound=1285928.978297, norm of subgrad 35.446925 stepsize= 1.000000
+dualbound = 3552578.832397, lowerbound=1280925.832397, norm of subgrad 1132.322760 dualbound = 3552578.832397, lowerbound=1280925.832397, norm of subgrad 36.025742 stepsize= 1.000000
+dualbound = 3552642.551187, lowerbound=1291827.551187, norm of subgrad 1137.129083 dualbound = 3552642.551187, lowerbound=1291827.551187, norm of subgrad 36.037741 stepsize= 1.000000
+dualbound = 3552719.764775, lowerbound=1283280.764775, norm of subgrad 1133.333475 dualbound = 3552719.764775, lowerbound=1283280.764775, norm of subgrad 35.230861 stepsize= 1.000000
+dualbound = 3552808.708628, lowerbound=1291867.708628, norm of subgrad 1137.106287 dualbound = 3552808.708628, lowerbound=1291867.708628, norm of subgrad 35.099058 stepsize= 1.000000
+dualbound = 3552863.358319, lowerbound=1281429.358319, norm of subgrad 1132.553468 dualbound = 3552863.358319, lowerbound=1281429.358319, norm of subgrad 36.092239 stepsize= 1.000000
+dualbound = 3552908.087004, lowerbound=1291159.087004, norm of subgrad 1136.810489 dualbound = 3552908.087004, lowerbound=1291159.087004, norm of subgrad 34.981834 stepsize= 1.000000
+dualbound = 3552999.365170, lowerbound=1288192.365170, norm of subgrad 1135.523829 dualbound = 3552999.365170, lowerbound=1288192.365170, norm of subgrad 36.239180 stepsize= 1.000000
+dualbound = 3553061.760265, lowerbound=1288417.760265, norm of subgrad 1135.619109 dualbound = 3553061.760265, lowerbound=1288417.760265, norm of subgrad 35.712674 stepsize= 1.000000
+dualbound = 3553140.647906, lowerbound=1286510.647906, norm of subgrad 1134.767222 dualbound = 3553140.647906, lowerbound=1286510.647906, norm of subgrad 35.565259 stepsize= 1.000000
+dualbound = 3553215.903434, lowerbound=1282415.903434, norm of subgrad 1132.989807 dualbound = 3553215.903434, lowerbound=1282415.903434, norm of subgrad 36.404059 stepsize= 1.000000
+dualbound = 3553265.953122, lowerbound=1286333.953122, norm of subgrad 1134.706549 dualbound = 3553265.953122, lowerbound=1286333.953122, norm of subgrad 35.707838 stepsize= 1.000000
+dualbound = 3553352.023551, lowerbound=1287598.023551, norm of subgrad 1135.241394 dualbound = 3553352.023551, lowerbound=1287598.023551, norm of subgrad 35.511553 stepsize= 1.000000
+dualbound = 3553414.003898, lowerbound=1283928.003898, norm of subgrad 1133.643685 dualbound = 3553414.003898, lowerbound=1283928.003898, norm of subgrad 35.804753 stepsize= 1.000000
+dualbound = 3553479.599407, lowerbound=1281362.599407, norm of subgrad 1132.499271 dualbound = 3553479.599407, lowerbound=1281362.599407, norm of subgrad 35.462593 stepsize= 1.000000
+dualbound = 3553545.931372, lowerbound=1283557.931372, norm of subgrad 1133.470305 dualbound = 3553545.931372, lowerbound=1283557.931372, norm of subgrad 35.543381 stepsize= 1.000000
+dualbound = 3553656.361845, lowerbound=1290067.361845, norm of subgrad 1136.328017 dualbound = 3553656.361845, lowerbound=1290067.361845, norm of subgrad 35.838952 stepsize= 1.000000
+dualbound = 3553712.871452, lowerbound=1282511.871452, norm of subgrad 1133.009211 dualbound = 3553712.871452, lowerbound=1282511.871452, norm of subgrad 35.419057 stepsize= 1.000000
+dualbound = 3553765.219763, lowerbound=1286750.219763, norm of subgrad 1134.901855 dualbound = 3553765.219763, lowerbound=1286750.219763, norm of subgrad 36.115763 stepsize= 1.000000
+dualbound = 3553853.068607, lowerbound=1283235.068607, norm of subgrad 1133.302726 dualbound = 3553853.068607, lowerbound=1283235.068607, norm of subgrad 35.040674 stepsize= 1.000000
+dualbound = 3553897.289940, lowerbound=1283654.289940, norm of subgrad 1133.527366 dualbound = 3553897.289940, lowerbound=1283654.289940, norm of subgrad 35.696237 stepsize= 1.000000
+dualbound = 3553993.165508, lowerbound=1280772.165508, norm of subgrad 1132.220458 dualbound = 3553993.165508, lowerbound=1280772.165508, norm of subgrad 35.311125 stepsize= 1.000000
+dualbound = 3554053.949829, lowerbound=1288855.949829, norm of subgrad 1135.812903 dualbound = 3554053.949829, lowerbound=1288855.949829, norm of subgrad 35.718123 stepsize= 1.000000
+dualbound = 3554091.903468, lowerbound=1281694.903468, norm of subgrad 1132.675109 dualbound = 3554091.903468, lowerbound=1281694.903468, norm of subgrad 35.999356 stepsize= 1.000000
+dualbound = 3554196.542027, lowerbound=1285714.542027, norm of subgrad 1134.415066 dualbound = 3554196.542027, lowerbound=1285714.542027, norm of subgrad 35.883681 stepsize= 1.000000
+dualbound = 3554242.913672, lowerbound=1284589.913672, norm of subgrad 1133.943523 dualbound = 3554242.913672, lowerbound=1284589.913672, norm of subgrad 35.838131 stepsize= 1.000000
+dualbound = 3554307.092499, lowerbound=1284776.092499, norm of subgrad 1134.015914 dualbound = 3554307.092499, lowerbound=1284776.092499, norm of subgrad 35.779587 stepsize= 1.000000
+dualbound = 3554393.690607, lowerbound=1284347.690607, norm of subgrad 1133.816868 dualbound = 3554393.690607, lowerbound=1284347.690607, norm of subgrad 35.771471 stepsize= 1.000000
+dualbound = 3554482.269790, lowerbound=1289307.269790, norm of subgrad 1136.012883 dualbound = 3554482.269790, lowerbound=1289307.269790, norm of subgrad 36.146634 stepsize= 1.000000
+dualbound = 3554519.421211, lowerbound=1284483.421211, norm of subgrad 1133.876722 dualbound = 3554519.421211, lowerbound=1284483.421211, norm of subgrad 35.073515 stepsize= 1.000000
+dualbound = 3554624.958183, lowerbound=1284297.958183, norm of subgrad 1133.778179 dualbound = 3554624.958183, lowerbound=1284297.958183, norm of subgrad 35.504042 stepsize= 1.000000
+dualbound = 3554691.145365, lowerbound=1281858.145365, norm of subgrad 1132.690666 dualbound = 3554691.145365, lowerbound=1281858.145365, norm of subgrad 34.585939 stepsize= 1.000000
+dualbound = 3554750.067287, lowerbound=1287864.067287, norm of subgrad 1135.397317 dualbound = 3554750.067287, lowerbound=1287864.067287, norm of subgrad 36.358244 stepsize= 1.000000
+dualbound = 3554799.914852, lowerbound=1288182.914852, norm of subgrad 1135.508659 dualbound = 3554799.914852, lowerbound=1288182.914852, norm of subgrad 35.310729 stepsize= 1.000000
+dualbound = 3554903.240787, lowerbound=1280382.240787, norm of subgrad 1132.061500 dualbound = 3554903.240787, lowerbound=1280382.240787, norm of subgrad 35.837493 stepsize= 1.000000
+dualbound = 3554954.788279, lowerbound=1284668.788279, norm of subgrad 1133.981388 dualbound = 3554954.788279, lowerbound=1284668.788279, norm of subgrad 36.007603 stepsize= 1.000000
+dualbound = 3555029.185414, lowerbound=1289953.185414, norm of subgrad 1136.265456 dualbound = 3555029.185414, lowerbound=1289953.185414, norm of subgrad 34.934183 stepsize= 1.000000
+dualbound = 3555122.321797, lowerbound=1286106.321797, norm of subgrad 1134.582003 dualbound = 3555122.321797, lowerbound=1286106.321797, norm of subgrad 35.540630 stepsize= 1.000000
+dualbound = 3555176.709979, lowerbound=1290431.709979, norm of subgrad 1136.502402 dualbound = 3555176.709979, lowerbound=1290431.709979, norm of subgrad 35.501946 stepsize= 1.000000
+dualbound = 3555262.135517, lowerbound=1282962.135517, norm of subgrad 1133.184070 dualbound = 3555262.135517, lowerbound=1282962.135517, norm of subgrad 35.063165 stepsize= 1.000000
+dualbound = 3555308.737652, lowerbound=1286500.737652, norm of subgrad 1134.767261 dualbound = 3555308.737652, lowerbound=1286500.737652, norm of subgrad 35.250562 stepsize= 1.000000
+dualbound = 3555402.656422, lowerbound=1280556.656422, norm of subgrad 1132.154873 dualbound = 3555402.656422, lowerbound=1280556.656422, norm of subgrad 36.220419 stepsize= 1.000000
+dualbound = 3555440.717672, lowerbound=1290572.717673, norm of subgrad 1136.563116 dualbound = 3555440.717672, lowerbound=1290572.717673, norm of subgrad 35.228699 stepsize= 1.000000
+dualbound = 3555541.590412, lowerbound=1282520.590412, norm of subgrad 1133.023650 dualbound = 3555541.590412, lowerbound=1282520.590412, norm of subgrad 36.371318 stepsize= 1.000000
+dualbound = 3555573.225447, lowerbound=1289508.225447, norm of subgrad 1136.117611 dualbound = 3555573.225447, lowerbound=1289508.225447, norm of subgrad 35.869695 stepsize= 1.000000
+dualbound = 3555670.891991, lowerbound=1282943.891991, norm of subgrad 1133.186610 dualbound = 3555670.891991, lowerbound=1282943.891991, norm of subgrad 35.576208 stepsize= 1.000000
+dualbound = 3555731.083077, lowerbound=1286452.083077, norm of subgrad 1134.744942 dualbound = 3555731.083077, lowerbound=1286452.083077, norm of subgrad 35.414560 stepsize= 1.000000
+dualbound = 3555801.095102, lowerbound=1288481.095102, norm of subgrad 1135.644793 dualbound = 3555801.095102, lowerbound=1288481.095102, norm of subgrad 35.749294 stepsize= 1.000000
+dualbound = 3555875.151897, lowerbound=1282121.151897, norm of subgrad 1132.838096 dualbound = 3555875.151897, lowerbound=1282121.151897, norm of subgrad 35.707937 stepsize= 1.000000
+dualbound = 3555933.830247, lowerbound=1286189.830247, norm of subgrad 1134.640397 dualbound = 3555933.830247, lowerbound=1286189.830247, norm of subgrad 35.744627 stepsize= 1.000000
+dualbound = 3556012.065267, lowerbound=1288958.065267, norm of subgrad 1135.834524 dualbound = 3556012.065267, lowerbound=1288958.065267, norm of subgrad 35.216971 stepsize= 1.000000
+dualbound = 3556085.292884, lowerbound=1283879.292884, norm of subgrad 1133.586473 dualbound = 3556085.292884, lowerbound=1283879.292884, norm of subgrad 34.817059 stepsize= 1.000000
+dualbound = 3556167.522678, lowerbound=1287914.522678, norm of subgrad 1135.366691 dualbound = 3556167.522678, lowerbound=1287914.522678, norm of subgrad 35.003283 stepsize= 1.000000
+dualbound = 3556218.626445, lowerbound=1283985.626445, norm of subgrad 1133.640872 dualbound = 3556218.626445, lowerbound=1283985.626445, norm of subgrad 34.743399 stepsize= 1.000000
+dualbound = 3556274.391138, lowerbound=1285682.391138, norm of subgrad 1134.411033 dualbound = 3556274.391138, lowerbound=1285682.391138, norm of subgrad 35.521327 stepsize= 1.000000
+dualbound = 3556352.984991, lowerbound=1283131.984991, norm of subgrad 1133.287689 dualbound = 3556352.984991, lowerbound=1283131.984991, norm of subgrad 35.883058 stepsize= 1.000000
+dualbound = 3556404.811992, lowerbound=1287666.811992, norm of subgrad 1135.314411 dualbound = 3556404.811992, lowerbound=1287666.811992, norm of subgrad 36.384434 stepsize= 1.000000
+dualbound = 3556479.680705, lowerbound=1284471.680705, norm of subgrad 1133.887861 dualbound = 3556479.680705, lowerbound=1284471.680705, norm of subgrad 36.122967 stepsize= 1.000000
+dualbound = 3556549.775312, lowerbound=1287587.775312, norm of subgrad 1135.239083 dualbound = 3556549.775312, lowerbound=1287587.775312, norm of subgrad 35.356677 stepsize= 1.000000
+dualbound = 3556627.640790, lowerbound=1281032.640790, norm of subgrad 1132.367714 dualbound = 3556627.640790, lowerbound=1281032.640790, norm of subgrad 36.081373 stepsize= 1.000000
+dualbound = 3556674.234606, lowerbound=1287149.234606, norm of subgrad 1135.059133 dualbound = 3556674.234606, lowerbound=1287149.234606, norm of subgrad 35.448467 stepsize= 1.000000
+dualbound = 3556772.969017, lowerbound=1282178.969017, norm of subgrad 1132.852139 dualbound = 3556772.969017, lowerbound=1282178.969017, norm of subgrad 35.689416 stepsize= 1.000000
+dualbound = 3556831.730653, lowerbound=1290997.730653, norm of subgrad 1136.778224 dualbound = 3556831.730653, lowerbound=1290997.730653, norm of subgrad 36.411010 stepsize= 1.000000
+dualbound = 3556891.769263, lowerbound=1284289.769263, norm of subgrad 1133.790002 dualbound = 3556891.769263, lowerbound=1284289.769263, norm of subgrad 35.355885 stepsize= 1.000000
+dualbound = 3556971.022364, lowerbound=1285952.022364, norm of subgrad 1134.524139 dualbound = 3556971.022364, lowerbound=1285952.022364, norm of subgrad 35.668657 stepsize= 1.000000
+dualbound = 3557052.123046, lowerbound=1291369.123046, norm of subgrad 1136.893189 dualbound = 3557052.123046, lowerbound=1291369.123046, norm of subgrad 35.186655 stepsize= 1.000000
+dualbound = 3557137.433649, lowerbound=1287061.433649, norm of subgrad 1135.001953 dualbound = 3557137.433649, lowerbound=1287061.433649, norm of subgrad 35.402127 stepsize= 1.000000
+dualbound = 3557190.538371, lowerbound=1279138.538371, norm of subgrad 1131.504988 dualbound = 3557190.538371, lowerbound=1279138.538371, norm of subgrad 34.901357 stepsize= 1.000000
+dualbound = 3557258.970994, lowerbound=1289292.970994, norm of subgrad 1135.970938 dualbound = 3557258.970994, lowerbound=1289292.970994, norm of subgrad 34.719341 stepsize= 1.000000
+dualbound = 3557331.126920, lowerbound=1285757.126920, norm of subgrad 1134.429428 dualbound = 3557331.126920, lowerbound=1285757.126920, norm of subgrad 35.286767 stepsize= 1.000000
+dualbound = 3557394.956152, lowerbound=1286218.956152, norm of subgrad 1134.650588 dualbound = 3557394.956152, lowerbound=1286218.956152, norm of subgrad 35.732747 stepsize= 1.000000
+dualbound = 3557464.352452, lowerbound=1283615.352452, norm of subgrad 1133.509308 dualbound = 3557464.352452, lowerbound=1283615.352452, norm of subgrad 36.019388 stepsize= 1.000000
+dualbound = 3557528.993694, lowerbound=1289861.993694, norm of subgrad 1136.269772 dualbound = 3557528.993694, lowerbound=1289861.993694, norm of subgrad 36.216588 stepsize= 1.000000
+dualbound = 3557603.539389, lowerbound=1283709.539389, norm of subgrad 1133.510714 dualbound = 3557603.539389, lowerbound=1283709.539389, norm of subgrad 34.807265 stepsize= 1.000000
+dualbound = 3557718.246591, lowerbound=1284864.246591, norm of subgrad 1134.013336 dualbound = 3557718.246591, lowerbound=1284864.246591, norm of subgrad 35.166848 stepsize= 1.000000
+dualbound = 3557742.297338, lowerbound=1281510.297338, norm of subgrad 1132.564478 dualbound = 3557742.297338, lowerbound=1281510.297338, norm of subgrad 34.871919 stepsize= 1.000000
+dualbound = 3557824.181334, lowerbound=1288437.181334, norm of subgrad 1135.608727 dualbound = 3557824.181334, lowerbound=1288437.181334, norm of subgrad 35.381973 stepsize= 1.000000
+dualbound = 3557896.343190, lowerbound=1284296.343190, norm of subgrad 1133.777907 dualbound = 3557896.343190, lowerbound=1284296.343190, norm of subgrad 35.045140 stepsize= 1.000000
+dualbound = 3557953.382561, lowerbound=1283497.382561, norm of subgrad 1133.456388 dualbound = 3557953.382561, lowerbound=1283497.382561, norm of subgrad 35.819539 stepsize= 1.000000
+dualbound = 3558014.340608, lowerbound=1285535.340608, norm of subgrad 1134.336079 dualbound = 3558014.340608, lowerbound=1285535.340608, norm of subgrad 35.269789 stepsize= 1.000000
+dualbound = 3558103.952307, lowerbound=1289242.952307, norm of subgrad 1135.958165 dualbound = 3558103.952307, lowerbound=1289242.952307, norm of subgrad 35.321547 stepsize= 1.000000
+dualbound = 3558171.509396, lowerbound=1284459.509396, norm of subgrad 1133.871470 dualbound = 3558171.509396, lowerbound=1284459.509396, norm of subgrad 35.672918 stepsize= 1.000000
+dualbound = 3558219.767014, lowerbound=1286068.767014, norm of subgrad 1134.599827 dualbound = 3558219.767014, lowerbound=1286068.767014, norm of subgrad 36.003578 stepsize= 1.000000
+dualbound = 3558293.259791, lowerbound=1287525.259791, norm of subgrad 1135.246784 dualbound = 3558293.259791, lowerbound=1287525.259791, norm of subgrad 36.517020 stepsize= 1.000000
+dualbound = 3558348.696525, lowerbound=1288697.696525, norm of subgrad 1135.773611 dualbound = 3558348.696525, lowerbound=1288697.696525, norm of subgrad 36.598316 stepsize= 1.000000
+dualbound = 3558429.000819, lowerbound=1288095.000819, norm of subgrad 1135.509578 dualbound = 3558429.000819, lowerbound=1288095.000819, norm of subgrad 36.977078 stepsize= 1.000000
+dualbound = 3558490.000858, lowerbound=1285343.000858, norm of subgrad 1134.281271 dualbound = 3558490.000858, lowerbound=1285343.000858, norm of subgrad 36.221541 stepsize= 1.000000
+dualbound = 3558581.982965, lowerbound=1283676.982965, norm of subgrad 1133.524143 dualbound = 3558581.982965, lowerbound=1283676.982965, norm of subgrad 35.944153 stepsize= 1.000000
+dualbound = 3558647.132806, lowerbound=1290157.132806, norm of subgrad 1136.356517 dualbound = 3558647.132806, lowerbound=1290157.132806, norm of subgrad 34.844653 stepsize= 1.000000
+dualbound = 3558718.137812, lowerbound=1282842.137812, norm of subgrad 1133.158037 dualbound = 3558718.137812, lowerbound=1282842.137812, norm of subgrad 35.721212 stepsize= 1.000000
+dualbound = 3558800.802605, lowerbound=1285552.802605, norm of subgrad 1134.342013 dualbound = 3558800.802605, lowerbound=1285552.802605, norm of subgrad 35.519921 stepsize= 1.000000
+dualbound = 3558867.126168, lowerbound=1281057.126168, norm of subgrad 1132.347617 dualbound = 3558867.126168, lowerbound=1281057.126168, norm of subgrad 34.933130 stepsize= 1.000000
+dualbound = 3558943.286500, lowerbound=1284106.286500, norm of subgrad 1133.694971 dualbound = 3558943.286500, lowerbound=1284106.286500, norm of subgrad 35.130618 stepsize= 1.000000
+dualbound = 3559020.907987, lowerbound=1283300.907987, norm of subgrad 1133.332214 dualbound = 3559020.907987, lowerbound=1283300.907987, norm of subgrad 34.908759 stepsize= 1.000000
+dualbound = 3559096.650655, lowerbound=1280824.650655, norm of subgrad 1132.267040 dualbound = 3559096.650655, lowerbound=1280824.650655, norm of subgrad 35.773491 stepsize= 1.000000
+dualbound = 3559159.538941, lowerbound=1288637.538941, norm of subgrad 1135.709267 dualbound = 3559159.538941, lowerbound=1288637.538941, norm of subgrad 35.508989 stepsize= 1.000000
+dualbound = 3559228.364076, lowerbound=1281732.364076, norm of subgrad 1132.659421 dualbound = 3559228.364076, lowerbound=1281732.364076, norm of subgrad 35.409393 stepsize= 1.000000
+dualbound = 3559320.658200, lowerbound=1286807.658200, norm of subgrad 1134.877816 dualbound = 3559320.658200, lowerbound=1286807.658200, norm of subgrad 35.104047 stepsize= 1.000000
+dualbound = 3559350.183665, lowerbound=1285316.183665, norm of subgrad 1134.256666 dualbound = 3559350.183665, lowerbound=1285316.183665, norm of subgrad 35.376906 stepsize= 1.000000
+dualbound = 3559430.498666, lowerbound=1286280.498666, norm of subgrad 1134.685198 dualbound = 3559430.498666, lowerbound=1286280.498666, norm of subgrad 36.198273 stepsize= 1.000000
+dualbound = 3559496.802409, lowerbound=1289737.802409, norm of subgrad 1136.201480 dualbound = 3559496.802409, lowerbound=1289737.802409, norm of subgrad 35.809269 stepsize= 1.000000
+dualbound = 3559585.833984, lowerbound=1285668.833984, norm of subgrad 1134.416958 dualbound = 3559585.833984, lowerbound=1285668.833984, norm of subgrad 36.359752 stepsize= 1.000000
+dualbound = 3559596.263121, lowerbound=1286450.263121, norm of subgrad 1134.776746 dualbound = 3559596.263121, lowerbound=1286450.263121, norm of subgrad 35.755127 stepsize= 1.000000
+dualbound = 3559711.532579, lowerbound=1288216.532579, norm of subgrad 1135.536231 dualbound = 3559711.532579, lowerbound=1288216.532579, norm of subgrad 36.623346 stepsize= 1.000000
+dualbound = 3559754.008192, lowerbound=1288717.008192, norm of subgrad 1135.760102 dualbound = 3559754.008192, lowerbound=1288717.008192, norm of subgrad 35.727799 stepsize= 1.000000
+dualbound = 3559866.073735, lowerbound=1286545.073735, norm of subgrad 1134.803540 dualbound = 3559866.073735, lowerbound=1286545.073735, norm of subgrad 36.688766 stepsize= 1.000000
+dualbound = 3559903.678139, lowerbound=1287115.678139, norm of subgrad 1135.073424 dualbound = 3559903.678139, lowerbound=1287115.678139, norm of subgrad 36.243681 stepsize= 1.000000
+dualbound = 3559961.393237, lowerbound=1286903.393237, norm of subgrad 1134.949952 dualbound = 3559961.393237, lowerbound=1286903.393237, norm of subgrad 35.576890 stepsize= 1.000000
+dualbound = 3560044.413181, lowerbound=1286528.413181, norm of subgrad 1134.787387 dualbound = 3560044.413181, lowerbound=1286528.413181, norm of subgrad 36.014163 stepsize= 1.000000
+dualbound = 3560110.362735, lowerbound=1287330.362735, norm of subgrad 1135.145084 dualbound = 3560110.362735, lowerbound=1287330.362735, norm of subgrad 35.915868 stepsize= 1.000000
+dualbound = 3560188.911899, lowerbound=1281298.911899, norm of subgrad 1132.486164 dualbound = 3560188.911899, lowerbound=1281298.911899, norm of subgrad 36.118543 stepsize= 1.000000
+dualbound = 3560258.075261, lowerbound=1286377.075261, norm of subgrad 1134.688096 dualbound = 3560258.075261, lowerbound=1286377.075261, norm of subgrad 34.773026 stepsize= 1.000000
+dualbound = 3560371.810276, lowerbound=1286118.810276, norm of subgrad 1134.553573 dualbound = 3560371.810276, lowerbound=1286118.810276, norm of subgrad 34.738092 stepsize= 1.000000
+dualbound = 3560422.239177, lowerbound=1280611.239177, norm of subgrad 1132.166613 dualbound = 3560422.239177, lowerbound=1280611.239177, norm of subgrad 35.219723 stepsize= 1.000000
+dualbound = 3560461.350505, lowerbound=1284755.350505, norm of subgrad 1134.010737 dualbound = 3560461.350505, lowerbound=1284755.350505, norm of subgrad 35.554343 stepsize= 1.000000
+dualbound = 3560521.918424, lowerbound=1289528.918424, norm of subgrad 1136.121436 dualbound = 3560521.918424, lowerbound=1289528.918424, norm of subgrad 36.104957 stepsize= 1.000000
+dualbound = 3560610.422937, lowerbound=1280632.422937, norm of subgrad 1132.166252 dualbound = 3560610.422937, lowerbound=1280632.422937, norm of subgrad 35.447207 stepsize= 1.000000
+dualbound = 3560702.350581, lowerbound=1288533.350581, norm of subgrad 1135.639182 dualbound = 3560702.350581, lowerbound=1288533.350581, norm of subgrad 35.141537 stepsize= 1.000000
+dualbound = 3560748.965356, lowerbound=1286750.965356, norm of subgrad 1134.887204 dualbound = 3560748.965356, lowerbound=1286750.965356, norm of subgrad 35.561423 stepsize= 1.000000
+dualbound = 3560821.317300, lowerbound=1283078.317300, norm of subgrad 1133.264452 dualbound = 3560821.317300, lowerbound=1283078.317300, norm of subgrad 35.809942 stepsize= 1.000000
+dualbound = 3560887.862619, lowerbound=1290885.862619, norm of subgrad 1136.721981 dualbound = 3560887.862619, lowerbound=1290885.862619, norm of subgrad 36.298007 stepsize= 1.000000
+dualbound = 3560956.062065, lowerbound=1288820.062065, norm of subgrad 1135.780376 dualbound = 3560956.062065, lowerbound=1288820.062065, norm of subgrad 35.287384 stepsize= 1.000000
+dualbound = 3561026.476335, lowerbound=1290475.476335, norm of subgrad 1136.509778 dualbound = 3561026.476335, lowerbound=1290475.476335, norm of subgrad 35.347055 stepsize= 1.000000
+dualbound = 3561123.447063, lowerbound=1282454.447063, norm of subgrad 1132.976808 dualbound = 3561123.447063, lowerbound=1282454.447063, norm of subgrad 35.762700 stepsize= 1.000000
+dualbound = 3561173.190185, lowerbound=1287823.190185, norm of subgrad 1135.351571 dualbound = 3561173.190185, lowerbound=1287823.190185, norm of subgrad 35.351706 stepsize= 1.000000
+dualbound = 3561228.350999, lowerbound=1281931.350999, norm of subgrad 1132.751672 dualbound = 3561228.350999, lowerbound=1281931.350999, norm of subgrad 35.357613 stepsize= 1.000000
+dualbound = 3561310.796693, lowerbound=1287987.796693, norm of subgrad 1135.403363 dualbound = 3561310.796693, lowerbound=1287987.796693, norm of subgrad 35.148907 stepsize= 1.000000
+dualbound = 3561399.774681, lowerbound=1288333.774681, norm of subgrad 1135.572884 dualbound = 3561399.774681, lowerbound=1288333.774681, norm of subgrad 35.790753 stepsize= 1.000000
+dualbound = 3561439.528500, lowerbound=1282783.528500, norm of subgrad 1133.151591 dualbound = 3561439.528500, lowerbound=1282783.528500, norm of subgrad 35.899218 stepsize= 1.000000
+dualbound = 3561506.835336, lowerbound=1287384.835336, norm of subgrad 1135.160709 dualbound = 3561506.835336, lowerbound=1287384.835336, norm of subgrad 35.669410 stepsize= 1.000000
+dualbound = 3561586.765655, lowerbound=1284596.765655, norm of subgrad 1133.930230 dualbound = 3561586.765655, lowerbound=1284596.765655, norm of subgrad 35.790087 stepsize= 1.000000
+dualbound = 3561671.529428, lowerbound=1288500.529428, norm of subgrad 1135.661274 dualbound = 3561671.529428, lowerbound=1288500.529428, norm of subgrad 36.204472 stepsize= 1.000000
+dualbound = 3561744.358317, lowerbound=1282726.358317, norm of subgrad 1133.117981 dualbound = 3561744.358317, lowerbound=1282726.358317, norm of subgrad 36.094721 stepsize= 1.000000
+dualbound = 3561759.962397, lowerbound=1291154.962397, norm of subgrad 1136.857494 dualbound = 3561759.962397, lowerbound=1291154.962397, norm of subgrad 36.133144 stepsize= 1.000000
+dualbound = 3561855.138423, lowerbound=1282670.138423, norm of subgrad 1133.101998 dualbound = 3561855.138423, lowerbound=1282670.138423, norm of subgrad 36.676641 stepsize= 1.000000
+dualbound = 3561916.839411, lowerbound=1288414.839411, norm of subgrad 1135.622666 dualbound = 3561916.839411, lowerbound=1288414.839411, norm of subgrad 35.856673 stepsize= 1.000000
+dualbound = 3562007.303011, lowerbound=1284420.303011, norm of subgrad 1133.836542 dualbound = 3562007.303011, lowerbound=1284420.303011, norm of subgrad 35.432522 stepsize= 1.000000
+dualbound = 3562077.460542, lowerbound=1287724.460542, norm of subgrad 1135.319101 dualbound = 3562077.460542, lowerbound=1287724.460542, norm of subgrad 35.988297 stepsize= 1.000000
+dualbound = 3562138.842580, lowerbound=1283108.842580, norm of subgrad 1133.306156 dualbound = 3562138.842580, lowerbound=1283108.842580, norm of subgrad 36.542879 stepsize= 1.000000
+dualbound = 3562199.771422, lowerbound=1287078.771422, norm of subgrad 1135.050559 dualbound = 3562199.771422, lowerbound=1287078.771422, norm of subgrad 36.358339 stepsize= 1.000000
+dualbound = 3562285.141516, lowerbound=1284139.141516, norm of subgrad 1133.744743 dualbound = 3562285.141516, lowerbound=1284139.141516, norm of subgrad 36.378154 stepsize= 1.000000
+dualbound = 3562347.395811, lowerbound=1288197.395811, norm of subgrad 1135.525163 dualbound = 3562347.395811, lowerbound=1288197.395811, norm of subgrad 35.808579 stepsize= 1.000000
+dualbound = 3562418.247883, lowerbound=1285885.247883, norm of subgrad 1134.503966 dualbound = 3562418.247883, lowerbound=1285885.247883, norm of subgrad 35.844833 stepsize= 1.000000
+dualbound = 3562501.724725, lowerbound=1286039.724725, norm of subgrad 1134.550891 dualbound = 3562501.724725, lowerbound=1286039.724725, norm of subgrad 35.347940 stepsize= 1.000000
+dualbound = 3562580.657416, lowerbound=1288508.657416, norm of subgrad 1135.638876 dualbound = 3562580.657416, lowerbound=1288508.657416, norm of subgrad 35.297772 stepsize= 1.000000
+dualbound = 3562652.697820, lowerbound=1286490.697820, norm of subgrad 1134.780462 dualbound = 3562652.697820, lowerbound=1286490.697820, norm of subgrad 36.166841 stepsize= 1.000000
+dualbound = 3562702.225216, lowerbound=1285502.225216, norm of subgrad 1134.323686 dualbound = 3562702.225216, lowerbound=1285502.225216, norm of subgrad 35.178508 stepsize= 1.000000
+dualbound = 3562801.784092, lowerbound=1292409.784092, norm of subgrad 1137.388141 dualbound = 3562801.784092, lowerbound=1292409.784092, norm of subgrad 36.627297 stepsize= 1.000000
+dualbound = 3562839.766160, lowerbound=1286115.766160, norm of subgrad 1134.598064 dualbound = 3562839.766160, lowerbound=1286115.766160, norm of subgrad 35.142312 stepsize= 1.000000
+dualbound = 3562908.497161, lowerbound=1285762.497161, norm of subgrad 1134.440610 dualbound = 3562908.497161, lowerbound=1285762.497161, norm of subgrad 35.520853 stepsize= 1.000000
+dualbound = 3562995.100584, lowerbound=1284917.100584, norm of subgrad 1134.044135 dualbound = 3562995.100584, lowerbound=1284917.100584, norm of subgrad 35.008619 stepsize= 1.000000
+dualbound = 3563086.562104, lowerbound=1287035.562104, norm of subgrad 1135.012582 dualbound = 3563086.562104, lowerbound=1287035.562104, norm of subgrad 36.186483 stepsize= 1.000000
+dualbound = 3563116.740872, lowerbound=1286162.740872, norm of subgrad 1134.624493 dualbound = 3563116.740872, lowerbound=1286162.740872, norm of subgrad 35.216172 stepsize= 1.000000
+dualbound = 3563206.471443, lowerbound=1288387.471443, norm of subgrad 1135.593885 dualbound = 3563206.471443, lowerbound=1288387.471443, norm of subgrad 35.717371 stepsize= 1.000000
+dualbound = 3563275.085177, lowerbound=1286015.085177, norm of subgrad 1134.535625 dualbound = 3563275.085177, lowerbound=1286015.085177, norm of subgrad 34.994481 stepsize= 1.000000
+dualbound = 3563363.091217, lowerbound=1286807.091217, norm of subgrad 1134.878007 dualbound = 3563363.091217, lowerbound=1286807.091217, norm of subgrad 35.057182 stepsize= 1.000000
+dualbound = 3563411.622449, lowerbound=1283712.622449, norm of subgrad 1133.518691 dualbound = 3563411.622449, lowerbound=1283712.622449, norm of subgrad 34.648683 stepsize= 1.000000
+dualbound = 3563475.386472, lowerbound=1285087.386472, norm of subgrad 1134.155363 dualbound = 3563475.386472, lowerbound=1285087.386472, norm of subgrad 35.843605 stepsize= 1.000000
+dualbound = 3563534.468619, lowerbound=1284115.468619, norm of subgrad 1133.711810 dualbound = 3563534.468619, lowerbound=1284115.468619, norm of subgrad 35.299889 stepsize= 1.000000
+dualbound = 3563595.756170, lowerbound=1284358.756170, norm of subgrad 1133.834537 dualbound = 3563595.756170, lowerbound=1284358.756170, norm of subgrad 35.823003 stepsize= 1.000000
+dualbound = 3563664.507387, lowerbound=1282859.507387, norm of subgrad 1133.152023 dualbound = 3563664.507387, lowerbound=1282859.507387, norm of subgrad 35.252677 stepsize= 1.000000
+dualbound = 3563746.381475, lowerbound=1288724.381475, norm of subgrad 1135.738694 dualbound = 3563746.381475, lowerbound=1288724.381475, norm of subgrad 35.494705 stepsize= 1.000000
+dualbound = 3563792.356086, lowerbound=1283160.356086, norm of subgrad 1133.284764 dualbound = 3563792.356086, lowerbound=1283160.356086, norm of subgrad 34.928135 stepsize= 1.000000
+dualbound = 3563899.617584, lowerbound=1289196.617584, norm of subgrad 1135.961539 dualbound = 3563899.617584, lowerbound=1289196.617584, norm of subgrad 36.321640 stepsize= 1.000000
+dualbound = 3563946.683914, lowerbound=1285398.683914, norm of subgrad 1134.305816 dualbound = 3563946.683914, lowerbound=1285398.683914, norm of subgrad 36.028688 stepsize= 1.000000
+dualbound = 3564013.034368, lowerbound=1287307.034368, norm of subgrad 1135.156392 dualbound = 3564013.034368, lowerbound=1287307.034368, norm of subgrad 36.597137 stepsize= 1.000000
+dualbound = 3564080.442121, lowerbound=1286921.442121, norm of subgrad 1134.979049 dualbound = 3564080.442121, lowerbound=1286921.442121, norm of subgrad 36.378672 stepsize= 1.000000
+dualbound = 3564174.280662, lowerbound=1287115.280662, norm of subgrad 1135.039330 dualbound = 3564174.280662, lowerbound=1287115.280662, norm of subgrad 35.956064 stepsize= 1.000000
+dualbound = 3564234.501905, lowerbound=1284251.501905, norm of subgrad 1133.785915 dualbound = 3564234.501905, lowerbound=1284251.501905, norm of subgrad 35.766203 stepsize= 1.000000
+dualbound = 3564295.329005, lowerbound=1280286.329005, norm of subgrad 1132.066398 dualbound = 3564295.329005, lowerbound=1280286.329005, norm of subgrad 36.726382 stepsize= 1.000000
+dualbound = 3564363.051347, lowerbound=1288319.051347, norm of subgrad 1135.581372 dualbound = 3564363.051347, lowerbound=1288319.051347, norm of subgrad 35.968352 stepsize= 1.000000
+dualbound = 3564442.581715, lowerbound=1287929.581715, norm of subgrad 1135.392259 dualbound = 3564442.581715, lowerbound=1287929.581715, norm of subgrad 35.574294 stepsize= 1.000000
+dualbound = 3564517.434653, lowerbound=1289228.434653, norm of subgrad 1135.973783 dualbound = 3564517.434653, lowerbound=1289228.434653, norm of subgrad 35.816936 stepsize= 1.000000
+dualbound = 3564609.355202, lowerbound=1290092.355202, norm of subgrad 1136.331974 dualbound = 3564609.355202, lowerbound=1290092.355202, norm of subgrad 35.354215 stepsize= 1.000000
+dualbound = 3564662.423144, lowerbound=1284701.423144, norm of subgrad 1133.963590 dualbound = 3564662.423144, lowerbound=1284701.423144, norm of subgrad 35.000971 stepsize= 1.000000
+dualbound = 3564740.125232, lowerbound=1283677.125232, norm of subgrad 1133.547584 dualbound = 3564740.125232, lowerbound=1283677.125232, norm of subgrad 36.478790 stepsize= 1.000000
+dualbound = 3564783.912630, lowerbound=1289408.912630, norm of subgrad 1136.077864 dualbound = 3564783.912630, lowerbound=1289408.912630, norm of subgrad 36.163343 stepsize= 1.000000
+dualbound = 3564857.051651, lowerbound=1286416.051651, norm of subgrad 1134.734794 dualbound = 3564857.051651, lowerbound=1286416.051651, norm of subgrad 35.779030 stepsize= 1.000000
+dualbound = 3564934.856601, lowerbound=1288546.856601, norm of subgrad 1135.627957 dualbound = 3564934.856601, lowerbound=1288546.856601, norm of subgrad 34.377390 stepsize= 1.000000
+dualbound = 3565043.088605, lowerbound=1283987.088605, norm of subgrad 1133.654307 dualbound = 3565043.088605, lowerbound=1283987.088605, norm of subgrad 35.961535 stepsize= 1.000000
+dualbound = 3565067.315621, lowerbound=1285509.315621, norm of subgrad 1134.307858 dualbound = 3565067.315621, lowerbound=1285509.315621, norm of subgrad 34.193962 stepsize= 1.000000
+dualbound = 3565162.320552, lowerbound=1284219.320552, norm of subgrad 1133.770400 dualbound = 3565162.320552, lowerbound=1284219.320552, norm of subgrad 36.207802 stepsize= 1.000000
+dualbound = 3565215.898840, lowerbound=1290474.898840, norm of subgrad 1136.500725 dualbound = 3565215.898840, lowerbound=1290474.898840, norm of subgrad 34.822095 stepsize= 1.000000
+dualbound = 3565299.899066, lowerbound=1286987.899066, norm of subgrad 1134.997753 dualbound = 3565299.899066, lowerbound=1286987.899066, norm of subgrad 36.276717 stepsize= 1.000000
+dualbound = 3565350.652768, lowerbound=1289072.652768, norm of subgrad 1135.900371 dualbound = 3565350.652768, lowerbound=1289072.652768, norm of subgrad 35.323557 stepsize= 1.000000
+dualbound = 3565457.885274, lowerbound=1290370.885274, norm of subgrad 1136.452764 dualbound = 3565457.885274, lowerbound=1290370.885274, norm of subgrad 35.513835 stepsize= 1.000000
+dualbound = 3565497.963825, lowerbound=1282821.963825, norm of subgrad 1133.136339 dualbound = 3565497.963825, lowerbound=1282821.963825, norm of subgrad 34.872318 stepsize= 1.000000
+dualbound = 3565584.879978, lowerbound=1285397.879978, norm of subgrad 1134.272842 dualbound = 3565584.879978, lowerbound=1285397.879978, norm of subgrad 35.551598 stepsize= 1.000000
+dualbound = 3565639.071980, lowerbound=1288239.071980, norm of subgrad 1135.524580 dualbound = 3565639.071980, lowerbound=1288239.071980, norm of subgrad 35.088346 stepsize= 1.000000
+dualbound = 3565731.029646, lowerbound=1284892.029646, norm of subgrad 1134.041018 dualbound = 3565731.029646, lowerbound=1284892.029646, norm of subgrad 35.340595 stepsize= 1.000000
+dualbound = 3565770.316874, lowerbound=1282970.316874, norm of subgrad 1133.209741 dualbound = 3565770.316874, lowerbound=1282970.316874, norm of subgrad 35.118189 stepsize= 1.000000
+dualbound = 3565861.772398, lowerbound=1285081.772398, norm of subgrad 1134.123791 dualbound = 3565861.772398, lowerbound=1285081.772398, norm of subgrad 35.305177 stepsize= 1.000000
+dualbound = 3565905.385927, lowerbound=1285577.385927, norm of subgrad 1134.390755 dualbound = 3565905.385927, lowerbound=1285577.385927, norm of subgrad 36.174764 stepsize= 1.000000
+dualbound = 3565958.524656, lowerbound=1286405.524656, norm of subgrad 1134.757474 dualbound = 3565958.524656, lowerbound=1286405.524656, norm of subgrad 36.361226 stepsize= 1.000000
+dualbound = 3566043.075370, lowerbound=1286087.075370, norm of subgrad 1134.604370 dualbound = 3566043.075370, lowerbound=1286087.075370, norm of subgrad 36.394378 stepsize= 1.000000
+dualbound = 3566129.273171, lowerbound=1288587.273171, norm of subgrad 1135.689338 dualbound = 3566129.273171, lowerbound=1288587.273171, norm of subgrad 35.905401 stepsize= 1.000000
+dualbound = 3566200.167152, lowerbound=1285708.167152, norm of subgrad 1134.425920 dualbound = 3566200.167152, lowerbound=1285708.167152, norm of subgrad 35.845418 stepsize= 1.000000
+dualbound = 3566249.924254, lowerbound=1285826.924254, norm of subgrad 1134.483550 dualbound = 3566249.924254, lowerbound=1285826.924254, norm of subgrad 35.717742 stepsize= 1.000000
+dualbound = 3566355.818510, lowerbound=1286150.818510, norm of subgrad 1134.589273 dualbound = 3566355.818510, lowerbound=1286150.818510, norm of subgrad 35.325547 stepsize= 1.000000
+dualbound = 3566415.403723, lowerbound=1288526.403723, norm of subgrad 1135.652854 dualbound = 3566415.403723, lowerbound=1288526.403723, norm of subgrad 35.221942 stepsize= 1.000000
+dualbound = 3566467.384219, lowerbound=1288279.384219, norm of subgrad 1135.563025 dualbound = 3566467.384219, lowerbound=1288279.384219, norm of subgrad 35.720869 stepsize= 1.000000
+dualbound = 3566534.095046, lowerbound=1287732.095046, norm of subgrad 1135.308370 dualbound = 3566534.095046, lowerbound=1287732.095046, norm of subgrad 35.492405 stepsize= 1.000000
+dualbound = 3566596.136533, lowerbound=1289728.136533, norm of subgrad 1136.180063 dualbound = 3566596.136533, lowerbound=1289728.136533, norm of subgrad 35.200021 stepsize= 1.000000
+dualbound = 3566676.849884, lowerbound=1288713.849884, norm of subgrad 1135.761793 dualbound = 3566676.849884, lowerbound=1288713.849884, norm of subgrad 36.355376 stepsize= 1.000000
+dualbound = 3566724.509000, lowerbound=1292202.509000, norm of subgrad 1137.282950 dualbound = 3566724.509000, lowerbound=1292202.509000, norm of subgrad 35.463490 stepsize= 1.000000
+dualbound = 3566824.401727, lowerbound=1280676.401727, norm of subgrad 1132.207314 dualbound = 3566824.401727, lowerbound=1280676.401727, norm of subgrad 36.289017 stepsize= 1.000000
+dualbound = 3566860.401847, lowerbound=1290459.401847, norm of subgrad 1136.511945 dualbound = 3566860.401847, lowerbound=1290459.401847, norm of subgrad 35.156793 stepsize= 1.000000
+dualbound = 3566976.976374, lowerbound=1288884.976374, norm of subgrad 1135.812474 dualbound = 3566976.976374, lowerbound=1288884.976374, norm of subgrad 36.077341 stepsize= 1.000000
+dualbound = 3567020.417059, lowerbound=1290492.417059, norm of subgrad 1136.501833 dualbound = 3567020.417059, lowerbound=1290492.417059, norm of subgrad 34.459261 stepsize= 1.000000
+dualbound = 3567106.696160, lowerbound=1283219.696160, norm of subgrad 1133.321974 dualbound = 3567106.696160, lowerbound=1283219.696160, norm of subgrad 35.850789 stepsize= 1.000000
+dualbound = 3567141.107845, lowerbound=1283634.107845, norm of subgrad 1133.526845 dualbound = 3567141.107845, lowerbound=1283634.107845, norm of subgrad 35.824736 stepsize= 1.000000
+dualbound = 3567239.440664, lowerbound=1288090.440664, norm of subgrad 1135.461774 dualbound = 3567239.440664, lowerbound=1288090.440664, norm of subgrad 35.795709 stepsize= 1.000000
+dualbound = 3567298.585943, lowerbound=1286064.585943, norm of subgrad 1134.598425 dualbound = 3567298.585943, lowerbound=1286064.585943, norm of subgrad 36.168291 stepsize= 1.000000
+dualbound = 3567357.055842, lowerbound=1283161.055842, norm of subgrad 1133.289043 dualbound = 3567357.055842, lowerbound=1283161.055842, norm of subgrad 35.234499 stepsize= 1.000000
+dualbound = 3567443.121698, lowerbound=1285745.121698, norm of subgrad 1134.454989 dualbound = 3567443.121698, lowerbound=1285745.121698, norm of subgrad 36.456355 stepsize= 1.000000
+dualbound = 3567484.325281, lowerbound=1287088.325281, norm of subgrad 1135.040231 dualbound = 3567484.325281, lowerbound=1287088.325281, norm of subgrad 35.625884 stepsize= 1.000000
+dualbound = 3567557.068282, lowerbound=1285712.068282, norm of subgrad 1134.434250 dualbound = 3567557.068282, lowerbound=1285712.068282, norm of subgrad 36.079676 stepsize= 1.000000
+dualbound = 3567635.138263, lowerbound=1286675.138263, norm of subgrad 1134.870538 dualbound = 3567635.138263, lowerbound=1286675.138263, norm of subgrad 36.524923 stepsize= 1.000000
+dualbound = 3567690.379914, lowerbound=1288066.379914, norm of subgrad 1135.451179 dualbound = 3567690.379914, lowerbound=1288066.379914, norm of subgrad 35.188658 stepsize= 1.000000
+dualbound = 3567784.559968, lowerbound=1283810.559968, norm of subgrad 1133.562773 dualbound = 3567784.559968, lowerbound=1283810.559968, norm of subgrad 35.329592 stepsize= 1.000000
+dualbound = 3567864.929071, lowerbound=1282280.929071, norm of subgrad 1132.921855 dualbound = 3567864.929071, lowerbound=1282280.929071, norm of subgrad 36.212831 stepsize= 1.000000
+dualbound = 3567912.045761, lowerbound=1285662.045761, norm of subgrad 1134.383994 dualbound = 3567912.045761, lowerbound=1285662.045761, norm of subgrad 34.815466 stepsize= 1.000000
+dualbound = 3567990.535471, lowerbound=1290416.535471, norm of subgrad 1136.495726 dualbound = 3567990.535471, lowerbound=1290416.535471, norm of subgrad 35.839778 stepsize= 1.000000
+dualbound = 3568065.111682, lowerbound=1284634.111682, norm of subgrad 1133.979326 dualbound = 3568065.111682, lowerbound=1284634.111682, norm of subgrad 36.736579 stepsize= 1.000000
+dualbound = 3568110.893029, lowerbound=1286684.893029, norm of subgrad 1134.858094 dualbound = 3568110.893029, lowerbound=1286684.893029, norm of subgrad 35.549702 stepsize= 1.000000
+dualbound = 3568185.678048, lowerbound=1284451.678048, norm of subgrad 1133.890505 dualbound = 3568185.678048, lowerbound=1284451.678048, norm of subgrad 36.479926 stepsize= 1.000000
+dualbound = 3568279.074497, lowerbound=1285673.074497, norm of subgrad 1134.417945 dualbound = 3568279.074497, lowerbound=1285673.074497, norm of subgrad 36.392258 stepsize= 1.000000
+dualbound = 3568336.095915, lowerbound=1290854.095915, norm of subgrad 1136.724723 dualbound = 3568336.095915, lowerbound=1290854.095915, norm of subgrad 36.688165 stepsize= 1.000000
+dualbound = 3568408.674938, lowerbound=1288700.674938, norm of subgrad 1135.743666 dualbound = 3568408.674938, lowerbound=1288700.674938, norm of subgrad 35.854972 stepsize= 1.000000
+dualbound = 3568502.607050, lowerbound=1283319.607050, norm of subgrad 1133.352375 dualbound = 3568502.607050, lowerbound=1283319.607050, norm of subgrad 35.523684 stepsize= 1.000000
+dualbound = 3568558.702816, lowerbound=1288191.702816, norm of subgrad 1135.510327 dualbound = 3568558.702816, lowerbound=1288191.702816, norm of subgrad 35.328399 stepsize= 1.000000
+dualbound = 3568654.256926, lowerbound=1287808.256926, norm of subgrad 1135.326058 dualbound = 3568654.256926, lowerbound=1287808.256926, norm of subgrad 35.391441 stepsize= 1.000000
+dualbound = 3568702.934454, lowerbound=1286054.934454, norm of subgrad 1134.572137 dualbound = 3568702.934454, lowerbound=1286054.934454, norm of subgrad 35.322479 stepsize= 1.000000
+dualbound = 3568773.607124, lowerbound=1289653.607124, norm of subgrad 1136.163988 dualbound = 3568773.607124, lowerbound=1289653.607124, norm of subgrad 35.856278 stepsize= 1.000000
+dualbound = 3568817.059977, lowerbound=1285127.059977, norm of subgrad 1134.190487 dualbound = 3568817.059977, lowerbound=1285127.059977, norm of subgrad 36.117210 stepsize= 1.000000
+dualbound = 3568904.299952, lowerbound=1286720.299952, norm of subgrad 1134.849902 dualbound = 3568904.299952, lowerbound=1286720.299952, norm of subgrad 35.372871 stepsize= 1.000000
+dualbound = 3568977.775729, lowerbound=1286854.775729, norm of subgrad 1134.914435 dualbound = 3568977.775729, lowerbound=1286854.775729, norm of subgrad 35.347925 stepsize= 1.000000
+dualbound = 3569045.874793, lowerbound=1286805.874793, norm of subgrad 1134.887164 dualbound = 3569045.874793, lowerbound=1286805.874793, norm of subgrad 35.087021 stepsize= 1.000000
+dualbound = 3569102.962778, lowerbound=1283697.962778, norm of subgrad 1133.559422 dualbound = 3569102.962778, lowerbound=1283697.962778, norm of subgrad 36.277927 stepsize= 1.000000
+dualbound = 3569184.730982, lowerbound=1283831.730982, norm of subgrad 1133.589313 dualbound = 3569184.730982, lowerbound=1283831.730982, norm of subgrad 35.703896 stepsize= 1.000000
+dualbound = 3569249.603998, lowerbound=1289798.603998, norm of subgrad 1136.233516 dualbound = 3569249.603998, lowerbound=1289798.603998, norm of subgrad 35.956543 stepsize= 1.000000
+dualbound = 3569318.246358, lowerbound=1286370.246358, norm of subgrad 1134.749861 dualbound = 3569318.246358, lowerbound=1286370.246358, norm of subgrad 36.819049 stepsize= 1.000000
+dualbound = 3569366.105099, lowerbound=1293003.105099, norm of subgrad 1137.644103 dualbound = 3569366.105099, lowerbound=1293003.105099, norm of subgrad 35.761135 stepsize= 1.000000
+dualbound = 3569453.134911, lowerbound=1284523.134911, norm of subgrad 1133.891589 dualbound = 3569453.134911, lowerbound=1284523.134911, norm of subgrad 35.693554 stepsize= 1.000000
+dualbound = 3569531.395144, lowerbound=1287694.395144, norm of subgrad 1135.293969 dualbound = 3569531.395144, lowerbound=1287694.395144, norm of subgrad 35.724785 stepsize= 1.000000
+dualbound = 3569594.121700, lowerbound=1284544.121700, norm of subgrad 1133.904371 dualbound = 3569594.121700, lowerbound=1284544.121700, norm of subgrad 35.464441 stepsize= 1.000000
+dualbound = 3569657.350840, lowerbound=1289221.350840, norm of subgrad 1135.982989 dualbound = 3569657.350840, lowerbound=1289221.350840, norm of subgrad 36.044821 stepsize= 1.000000
+dualbound = 3569744.230649, lowerbound=1283566.230649, norm of subgrad 1133.484994 dualbound = 3569744.230649, lowerbound=1283566.230649, norm of subgrad 36.178444 stepsize= 1.000000
+dualbound = 3569775.249619, lowerbound=1285753.249619, norm of subgrad 1134.459012 dualbound = 3569775.249619, lowerbound=1285753.249619, norm of subgrad 35.707408 stepsize= 1.000000
+dualbound = 3569869.698319, lowerbound=1283107.698319, norm of subgrad 1133.265943 dualbound = 3569869.698319, lowerbound=1283107.698319, norm of subgrad 35.755401 stepsize= 1.000000
+dualbound = 3569971.715480, lowerbound=1289329.715480, norm of subgrad 1136.017480 dualbound = 3569971.715480, lowerbound=1289329.715480, norm of subgrad 36.166520 stepsize= 1.000000
+dualbound = 3570029.470548, lowerbound=1285448.470548, norm of subgrad 1134.315419 dualbound = 3570029.470548, lowerbound=1285448.470548, norm of subgrad 35.787638 stepsize= 1.000000
+dualbound = 3570076.607002, lowerbound=1284960.607002, norm of subgrad 1134.086684 dualbound = 3570076.607002, lowerbound=1284960.607002, norm of subgrad 35.201370 stepsize= 1.000000
+dualbound = 3570176.921584, lowerbound=1285242.921584, norm of subgrad 1134.231864 dualbound = 3570176.921584, lowerbound=1285242.921584, norm of subgrad 36.596647 stepsize= 1.000000
+dualbound = 3570227.589854, lowerbound=1284263.589854, norm of subgrad 1133.783308 dualbound = 3570227.589854, lowerbound=1284263.589854, norm of subgrad 35.378924 stepsize= 1.000000
+dualbound = 3570316.919886, lowerbound=1286090.919886, norm of subgrad 1134.618403 dualbound = 3570316.919886, lowerbound=1286090.919886, norm of subgrad 36.841960 stepsize= 1.000000
+dualbound = 3570355.205266, lowerbound=1285674.205266, norm of subgrad 1134.410069 dualbound = 3570355.205266, lowerbound=1285674.205266, norm of subgrad 35.359375 stepsize= 1.000000
+dualbound = 3570461.337403, lowerbound=1287434.337403, norm of subgrad 1135.182072 dualbound = 3570461.337403, lowerbound=1287434.337403, norm of subgrad 36.195748 stepsize= 1.000000
+dualbound = 3570513.985479, lowerbound=1285595.985479, norm of subgrad 1134.359725 dualbound = 3570513.985479, lowerbound=1285595.985479, norm of subgrad 35.052077 stepsize= 1.000000
+dualbound = 3570599.141061, lowerbound=1285534.141061, norm of subgrad 1134.339518 dualbound = 3570599.141061, lowerbound=1285534.141061, norm of subgrad 35.737314 stepsize= 1.000000
+dualbound = 3570670.415974, lowerbound=1281804.415974, norm of subgrad 1132.662534 dualbound = 3570670.415974, lowerbound=1281804.415974, norm of subgrad 34.514851 stepsize= 1.000000
+dualbound = 3570744.511123, lowerbound=1291574.511123, norm of subgrad 1136.995387 dualbound = 3570744.511123, lowerbound=1291574.511123, norm of subgrad 35.469637 stepsize= 1.000000
+dualbound = 3570761.292006, lowerbound=1286676.292006, norm of subgrad 1134.840205 dualbound = 3570761.292006, lowerbound=1286676.292006, norm of subgrad 34.681132 stepsize= 1.000000
+dualbound = 3570878.338468, lowerbound=1284308.338468, norm of subgrad 1133.796868 dualbound = 3570878.338468, lowerbound=1284308.338468, norm of subgrad 36.111583 stepsize= 1.000000
+dualbound = 3570940.324937, lowerbound=1284507.324937, norm of subgrad 1133.888586 dualbound = 3570940.324937, lowerbound=1284507.324937, norm of subgrad 35.468105 stepsize= 1.000000
+dualbound = 3570996.531295, lowerbound=1288172.531295, norm of subgrad 1135.518177 dualbound = 3570996.531295, lowerbound=1288172.531295, norm of subgrad 35.849775 stepsize= 1.000000
+dualbound = 3571047.591063, lowerbound=1290511.591063, norm of subgrad 1136.563501 dualbound = 3571047.591063, lowerbound=1290511.591063, norm of subgrad 36.277538 stepsize= 1.000000
+dualbound = 3571131.732650, lowerbound=1285293.732650, norm of subgrad 1134.245446 dualbound = 3571131.732650, lowerbound=1285293.732650, norm of subgrad 36.099052 stepsize= 1.000000
+dualbound = 3571209.857894, lowerbound=1286510.857894, norm of subgrad 1134.782295 dualbound = 3571209.857894, lowerbound=1286510.857894, norm of subgrad 36.029505 stepsize= 1.000000
+dualbound = 3571271.686824, lowerbound=1285801.686824, norm of subgrad 1134.468019 dualbound = 3571271.686824, lowerbound=1285801.686824, norm of subgrad 35.746733 stepsize= 1.000000
+dualbound = 3571362.377079, lowerbound=1289245.377079, norm of subgrad 1136.000166 dualbound = 3571362.377079, lowerbound=1289245.377079, norm of subgrad 36.629090 stepsize= 1.000000
+dualbound = 3571396.354566, lowerbound=1291055.354566, norm of subgrad 1136.791694 dualbound = 3571396.354566, lowerbound=1291055.354566, norm of subgrad 35.692821 stepsize= 1.000000
+dualbound = 3571485.429901, lowerbound=1284341.429901, norm of subgrad 1133.818958 dualbound = 3571485.429901, lowerbound=1284341.429901, norm of subgrad 35.959357 stepsize= 1.000000
+dualbound = 3571563.881141, lowerbound=1284753.881141, norm of subgrad 1134.008325 dualbound = 3571563.881141, lowerbound=1284753.881141, norm of subgrad 36.047902 stepsize= 1.000000
+dualbound = 3571611.370586, lowerbound=1287978.370586, norm of subgrad 1135.411542 dualbound = 3571611.370586, lowerbound=1287978.370586, norm of subgrad 35.049814 stepsize= 1.000000
+dualbound = 3571708.611247, lowerbound=1290099.611247, norm of subgrad 1136.362447 dualbound = 3571708.611247, lowerbound=1290099.611247, norm of subgrad 36.293810 stepsize= 1.000000
+dualbound = 3571749.189829, lowerbound=1289114.189829, norm of subgrad 1135.914693 dualbound = 3571749.189829, lowerbound=1289114.189829, norm of subgrad 35.051085 stepsize= 1.000000
+dualbound = 3571832.856222, lowerbound=1282930.856222, norm of subgrad 1133.209979 dualbound = 3571832.856222, lowerbound=1282930.856222, norm of subgrad 36.299675 stepsize= 1.000000
+dualbound = 3571900.018600, lowerbound=1289022.018600, norm of subgrad 1135.873681 dualbound = 3571900.018600, lowerbound=1289022.018600, norm of subgrad 35.414155 stepsize= 1.000000
+dualbound = 3571983.610026, lowerbound=1285360.610026, norm of subgrad 1134.265670 dualbound = 3571983.610026, lowerbound=1285360.610026, norm of subgrad 35.799322 stepsize= 1.000000
+dualbound = 3572023.886919, lowerbound=1287554.886919, norm of subgrad 1135.274807 dualbound = 3572023.886919, lowerbound=1287554.886919, norm of subgrad 36.527755 stepsize= 1.000000
+dualbound = 3572086.630971, lowerbound=1286459.630971, norm of subgrad 1134.755318 dualbound = 3572086.630971, lowerbound=1286459.630971, norm of subgrad 35.675539 stepsize= 1.000000
+dualbound = 3572190.116781, lowerbound=1286594.116781, norm of subgrad 1134.809287 dualbound = 3572190.116781, lowerbound=1286594.116781, norm of subgrad 36.076111 stepsize= 1.000000
+dualbound = 3572250.605814, lowerbound=1281584.605814, norm of subgrad 1132.604347 dualbound = 3572250.605814, lowerbound=1281584.605814, norm of subgrad 35.615854 stepsize= 1.000000
+dualbound = 3572319.034513, lowerbound=1291187.034513, norm of subgrad 1136.826739 dualbound = 3572319.034513, lowerbound=1291187.034513, norm of subgrad 35.446138 stepsize= 1.000000
+dualbound = 3572403.864790, lowerbound=1288641.864790, norm of subgrad 1135.728781 dualbound = 3572403.864790, lowerbound=1288641.864790, norm of subgrad 36.370734 stepsize= 1.000000
+dualbound = 3572451.493448, lowerbound=1288302.493448, norm of subgrad 1135.549864 dualbound = 3572451.493448, lowerbound=1288302.493448, norm of subgrad 34.908862 stepsize= 1.000000
+dualbound = 3572532.297610, lowerbound=1283587.297610, norm of subgrad 1133.500903 dualbound = 3572532.297610, lowerbound=1283587.297610, norm of subgrad 36.301572 stepsize= 1.000000
+dualbound = 3572597.346839, lowerbound=1291460.346839, norm of subgrad 1136.951339 dualbound = 3572597.346839, lowerbound=1291460.346839, norm of subgrad 35.539404 stepsize= 1.000000
+dualbound = 3572680.194584, lowerbound=1282721.194584, norm of subgrad 1133.108642 dualbound = 3572680.194584, lowerbound=1282721.194584, norm of subgrad 36.011772 stepsize= 1.000000
+dualbound = 3572721.859968, lowerbound=1290228.859968, norm of subgrad 1136.428555 dualbound = 3572721.859968, lowerbound=1290228.859968, norm of subgrad 35.814318 stepsize= 1.000000
+dualbound = 3572805.853875, lowerbound=1287334.853875, norm of subgrad 1135.130765 dualbound = 3572805.853875, lowerbound=1287334.853875, norm of subgrad 35.651001 stepsize= 1.000000
+dualbound = 3572873.632107, lowerbound=1285361.632107, norm of subgrad 1134.275378 dualbound = 3572873.632107, lowerbound=1285361.632107, norm of subgrad 35.871691 stepsize= 1.000000
+dualbound = 3572944.897246, lowerbound=1282980.897246, norm of subgrad 1133.234705 dualbound = 3572944.897246, lowerbound=1282980.897246, norm of subgrad 36.211395 stepsize= 1.000000
+dualbound = 3573002.717780, lowerbound=1292613.717780, norm of subgrad 1137.467238 dualbound = 3573002.717780, lowerbound=1292613.717780, norm of subgrad 35.718630 stepsize= 1.000000
+dualbound = 3573087.127602, lowerbound=1285592.127602, norm of subgrad 1134.378300 dualbound = 3573087.127602, lowerbound=1285592.127602, norm of subgrad 36.144292 stepsize= 1.000000
+dualbound = 3573142.194383, lowerbound=1285905.194383, norm of subgrad 1134.535673 dualbound = 3573142.194383, lowerbound=1285905.194383, norm of subgrad 36.346482 stepsize= 1.000000
+dualbound = 3573229.706042, lowerbound=1284616.706042, norm of subgrad 1133.950928 dualbound = 3573229.706042, lowerbound=1284616.706042, norm of subgrad 36.269983 stepsize= 1.000000
+dualbound = 3573263.668505, lowerbound=1287764.668505, norm of subgrad 1135.337249 dualbound = 3573263.668505, lowerbound=1287764.668505, norm of subgrad 35.495950 stepsize= 1.000000
+dualbound = 3573364.724654, lowerbound=1282953.724654, norm of subgrad 1133.207273 dualbound = 3573364.724654, lowerbound=1282953.724654, norm of subgrad 36.139399 stepsize= 1.000000
+dualbound = 3573425.920197, lowerbound=1290181.920197, norm of subgrad 1136.408342 dualbound = 3573425.920197, lowerbound=1290181.920197, norm of subgrad 36.099800 stepsize= 1.000000
+dualbound = 3573491.398363, lowerbound=1286647.398363, norm of subgrad 1134.874618 dualbound = 3573491.398363, lowerbound=1286647.398363, norm of subgrad 36.857539 stepsize= 1.000000
+dualbound = 3573542.965137, lowerbound=1286774.965137, norm of subgrad 1134.915400 dualbound = 3573542.965137, lowerbound=1286774.965137, norm of subgrad 36.187937 stepsize= 1.000000
+dualbound = 3573664.892036, lowerbound=1286748.892036, norm of subgrad 1134.903032 dualbound = 3573664.892036, lowerbound=1286748.892036, norm of subgrad 37.120438 stepsize= 1.000000
+dualbound = 3573701.686369, lowerbound=1287960.686369, norm of subgrad 1135.425773 dualbound = 3573701.686369, lowerbound=1287960.686369, norm of subgrad 35.606100 stepsize= 1.000000
+dualbound = 3573788.024334, lowerbound=1280503.024334, norm of subgrad 1132.117937 dualbound = 3573788.024334, lowerbound=1280503.024334, norm of subgrad 35.697871 stepsize= 1.000000
+dualbound = 3573857.358846, lowerbound=1290898.358846, norm of subgrad 1136.713402 dualbound = 3573857.358846, lowerbound=1290898.358846, norm of subgrad 35.893377 stepsize= 1.000000
+dualbound = 3573920.530478, lowerbound=1284215.530478, norm of subgrad 1133.753734 dualbound = 3573920.530478, lowerbound=1284215.530478, norm of subgrad 35.286990 stepsize= 1.000000
+dualbound = 3573980.304396, lowerbound=1283704.304396, norm of subgrad 1133.560455 dualbound = 3573980.304396, lowerbound=1283704.304396, norm of subgrad 36.259811 stepsize= 1.000000
+dualbound = 3574038.993514, lowerbound=1283827.993514, norm of subgrad 1133.601338 dualbound = 3574038.993514, lowerbound=1283827.993514, norm of subgrad 35.814649 stepsize= 1.000000
+dualbound = 3574148.155816, lowerbound=1289904.155816, norm of subgrad 1136.234199 dualbound = 3574148.155816, lowerbound=1289904.155816, norm of subgrad 35.116411 stepsize= 1.000000
+dualbound = 3574219.920670, lowerbound=1287546.920670, norm of subgrad 1135.238706 dualbound = 3574219.920670, lowerbound=1287546.920670, norm of subgrad 35.941130 stepsize= 1.000000
+dualbound = 3574272.515242, lowerbound=1288227.515242, norm of subgrad 1135.541948 dualbound = 3574272.515242, lowerbound=1288227.515242, norm of subgrad 35.785396 stepsize= 1.000000
+dualbound = 3574346.801249, lowerbound=1285997.801249, norm of subgrad 1134.557976 dualbound = 3574346.801249, lowerbound=1285997.801249, norm of subgrad 36.031736 stepsize= 1.000000
+dualbound = 3574399.785442, lowerbound=1284282.785442, norm of subgrad 1133.811618 dualbound = 3574399.785442, lowerbound=1284282.785442, norm of subgrad 36.041423 stepsize= 1.000000
+dualbound = 3574485.121845, lowerbound=1287407.121845, norm of subgrad 1135.148062 dualbound = 3574485.121845, lowerbound=1287407.121845, norm of subgrad 35.204210 stepsize= 1.000000
+dualbound = 3574578.176563, lowerbound=1285822.176563, norm of subgrad 1134.465150 dualbound = 3574578.176563, lowerbound=1285822.176563, norm of subgrad 35.805792 stepsize= 1.000000
+dualbound = 3574642.518862, lowerbound=1289580.518862, norm of subgrad 1136.126982 dualbound = 3574642.518862, lowerbound=1289580.518862, norm of subgrad 35.613794 stepsize= 1.000000
+dualbound = 3574694.390527, lowerbound=1290086.390527, norm of subgrad 1136.332430 dualbound = 3574694.390527, lowerbound=1290086.390527, norm of subgrad 34.883688 stepsize= 1.000000
+dualbound = 3574778.704081, lowerbound=1285875.704081, norm of subgrad 1134.516507 dualbound = 3574778.704081, lowerbound=1285875.704081, norm of subgrad 36.555623 stepsize= 1.000000
+dualbound = 3574814.877980, lowerbound=1286988.877980, norm of subgrad 1134.999946 dualbound = 3574814.877980, lowerbound=1286988.877980, norm of subgrad 35.667547 stepsize= 1.000000
+dualbound = 3574910.056402, lowerbound=1284787.056402, norm of subgrad 1134.027802 dualbound = 3574910.056402, lowerbound=1284787.056402, norm of subgrad 36.430460 stepsize= 1.000000
+dualbound = 3574936.358850, lowerbound=1285690.358850, norm of subgrad 1134.433938 dualbound = 3574936.358850, lowerbound=1285690.358850, norm of subgrad 35.725375 stepsize= 1.000000
+dualbound = 3575054.088888, lowerbound=1289719.088888, norm of subgrad 1136.187524 dualbound = 3575054.088888, lowerbound=1289719.088888, norm of subgrad 36.341850 stepsize= 1.000000
+dualbound = 3575101.904245, lowerbound=1283999.904245, norm of subgrad 1133.690833 dualbound = 3575101.904245, lowerbound=1283999.904245, norm of subgrad 36.094534 stepsize= 1.000000
+dualbound = 3575176.665858, lowerbound=1291850.665858, norm of subgrad 1137.101871 dualbound = 3575176.665858, lowerbound=1291850.665858, norm of subgrad 34.996594 stepsize= 1.000000
+dualbound = 3575276.910435, lowerbound=1286432.910435, norm of subgrad 1134.739578 dualbound = 3575276.910435, lowerbound=1286432.910435, norm of subgrad 36.072768 stepsize= 1.000000
+dualbound = 3575324.782873, lowerbound=1281226.782873, norm of subgrad 1132.434891 dualbound = 3575324.782873, lowerbound=1281226.782873, norm of subgrad 35.069537 stepsize= 1.000000
+dualbound = 3575409.042843, lowerbound=1286936.042843, norm of subgrad 1134.933497 dualbound = 3575409.042843, lowerbound=1286936.042843, norm of subgrad 34.960835 stepsize= 1.000000
+dualbound = 3575491.468319, lowerbound=1288452.468319, norm of subgrad 1135.592122 dualbound = 3575491.468319, lowerbound=1288452.468319, norm of subgrad 34.632723 stepsize= 1.000000
+dualbound = 3575560.537967, lowerbound=1284545.537967, norm of subgrad 1133.900145 dualbound = 3575560.537967, lowerbound=1284545.537967, norm of subgrad 35.398724 stepsize= 1.000000
+dualbound = 3575611.580581, lowerbound=1284186.580581, norm of subgrad 1133.768751 dualbound = 3575611.580581, lowerbound=1284186.580581, norm of subgrad 36.000592 stepsize= 1.000000
+dualbound = 3575669.351803, lowerbound=1288427.351803, norm of subgrad 1135.647988 dualbound = 3575669.351803, lowerbound=1288427.351803, norm of subgrad 36.424871 stepsize= 1.000000
+dualbound = 3575736.390702, lowerbound=1288110.390702, norm of subgrad 1135.471880 dualbound = 3575736.390702, lowerbound=1288110.390702, norm of subgrad 35.398289 stepsize= 1.000000
+dualbound = 3575824.661741, lowerbound=1280534.661741, norm of subgrad 1132.131027 dualbound = 3575824.661741, lowerbound=1280534.661741, norm of subgrad 35.696933 stepsize= 1.000000
+dualbound = 3575898.962646, lowerbound=1288746.962646, norm of subgrad 1135.737189 dualbound = 3575898.962646, lowerbound=1288746.962646, norm of subgrad 35.018579 stepsize= 1.000000
+dualbound = 3575938.781896, lowerbound=1286427.781896, norm of subgrad 1134.772568 dualbound = 3575938.781896, lowerbound=1286427.781896, norm of subgrad 36.343077 stepsize= 1.000000
+dualbound = 3576024.988747, lowerbound=1289777.988747, norm of subgrad 1136.202882 dualbound = 3576024.988747, lowerbound=1289777.988747, norm of subgrad 35.569746 stepsize= 1.000000
+dualbound = 3576087.427536, lowerbound=1286043.427536, norm of subgrad 1134.588219 dualbound = 3576087.427536, lowerbound=1286043.427536, norm of subgrad 36.186168 stepsize= 1.000000
+dualbound = 3576173.048111, lowerbound=1288078.048111, norm of subgrad 1135.436061 dualbound = 3576173.048111, lowerbound=1288078.048111, norm of subgrad 34.965992 stepsize= 1.000000
+dualbound = 3576234.425289, lowerbound=1285173.425289, norm of subgrad 1134.198583 dualbound = 3576234.425289, lowerbound=1285173.425289, norm of subgrad 35.977454 stepsize= 1.000000
+dualbound = 3576304.200792, lowerbound=1291587.200792, norm of subgrad 1137.038346 dualbound = 3576304.200792, lowerbound=1291587.200792, norm of subgrad 36.589281 stepsize= 1.000000
+dualbound = 3576357.241407, lowerbound=1282109.241407, norm of subgrad 1132.835046 dualbound = 3576357.241407, lowerbound=1282109.241407, norm of subgrad 35.482962 stepsize= 1.000000
+dualbound = 3576468.906984, lowerbound=1291353.906984, norm of subgrad 1136.888256 dualbound = 3576468.906984, lowerbound=1291353.906984, norm of subgrad 35.674439 stepsize= 1.000000
+dualbound = 3576512.956123, lowerbound=1287412.956123, norm of subgrad 1135.189833 dualbound = 3576512.956123, lowerbound=1287412.956123, norm of subgrad 35.875467 stepsize= 1.000000
+dualbound = 3576570.570807, lowerbound=1290691.570807, norm of subgrad 1136.624639 dualbound = 3576570.570807, lowerbound=1290691.570807, norm of subgrad 35.799646 stepsize= 1.000000
+dualbound = 3576626.754203, lowerbound=1284413.754203, norm of subgrad 1133.841591 dualbound = 3576626.754203, lowerbound=1284413.754203, norm of subgrad 35.202037 stepsize= 1.000000
+dualbound = 3576739.640503, lowerbound=1291975.640503, norm of subgrad 1137.149348 dualbound = 3576739.640503, lowerbound=1291975.640503, norm of subgrad 35.297115 stepsize= 1.000000
+dualbound = 3576815.028127, lowerbound=1283664.028127, norm of subgrad 1133.484904 dualbound = 3576815.028127, lowerbound=1283664.028127, norm of subgrad 34.632176 stepsize= 1.000000
+dualbound = 3576862.294814, lowerbound=1288598.294814, norm of subgrad 1135.718845 dualbound = 3576862.294814, lowerbound=1288598.294814, norm of subgrad 36.142312 stepsize= 1.000000
+dualbound = 3576892.647629, lowerbound=1287765.647629, norm of subgrad 1135.351773 dualbound = 3576892.647629, lowerbound=1287765.647629, norm of subgrad 35.893632 stepsize= 1.000000
+dualbound = 3576993.260091, lowerbound=1290095.260091, norm of subgrad 1136.370653 dualbound = 3576993.260091, lowerbound=1290095.260091, norm of subgrad 36.655320 stepsize= 1.000000
+dualbound = 3577040.519157, lowerbound=1289267.519157, norm of subgrad 1135.989225 dualbound = 3577040.519157, lowerbound=1289267.519157, norm of subgrad 35.373140 stepsize= 1.000000
+dualbound = 3577148.039726, lowerbound=1290157.039726, norm of subgrad 1136.367476 dualbound = 3577148.039726, lowerbound=1290157.039726, norm of subgrad 35.798332 stepsize= 1.000000
+dualbound = 3577205.068566, lowerbound=1284567.068566, norm of subgrad 1133.908757 dualbound = 3577205.068566, lowerbound=1284567.068566, norm of subgrad 35.199841 stepsize= 1.000000
+dualbound = 3577274.702070, lowerbound=1291582.702070, norm of subgrad 1137.052638 dualbound = 3577274.702070, lowerbound=1291582.702070, norm of subgrad 37.089534 stepsize= 1.000000
+dualbound = 3577295.377301, lowerbound=1291676.377301, norm of subgrad 1137.065248 dualbound = 3577295.377301, lowerbound=1291676.377301, norm of subgrad 35.520068 stepsize= 1.000000
+dualbound = 3577408.707560, lowerbound=1287126.707560, norm of subgrad 1135.044364 dualbound = 3577408.707560, lowerbound=1287126.707560, norm of subgrad 36.226099 stepsize= 1.000000
+dualbound = 3577473.170077, lowerbound=1290106.170077, norm of subgrad 1136.367973 dualbound = 3577473.170077, lowerbound=1290106.170077, norm of subgrad 35.923008 stepsize= 1.000000
+dualbound = 3577536.914820, lowerbound=1283093.914820, norm of subgrad 1133.281481 dualbound = 3577536.914820, lowerbound=1283093.914820, norm of subgrad 36.010342 stepsize= 1.000000
+dualbound = 3577568.392000, lowerbound=1285376.392000, norm of subgrad 1134.318029 dualbound = 3577568.392000, lowerbound=1285376.392000, norm of subgrad 36.503112 stepsize= 1.000000
+dualbound = 3577690.189340, lowerbound=1285661.189340, norm of subgrad 1134.392873 dualbound = 3577690.189340, lowerbound=1285661.189340, norm of subgrad 36.163481 stepsize= 1.000000
+dualbound = 3577767.311429, lowerbound=1285523.311429, norm of subgrad 1134.319757 dualbound = 3577767.311429, lowerbound=1285523.311429, norm of subgrad 35.144304 stepsize= 1.000000
+dualbound = 3577841.058448, lowerbound=1283019.058448, norm of subgrad 1133.212715 dualbound = 3577841.058448, lowerbound=1283019.058448, norm of subgrad 35.010670 stepsize= 1.000000
+dualbound = 3577909.549779, lowerbound=1285159.549779, norm of subgrad 1134.203487 dualbound = 3577909.549779, lowerbound=1285159.549779, norm of subgrad 36.421029 stepsize= 1.000000
+dualbound = 3577952.547519, lowerbound=1289978.547519, norm of subgrad 1136.340859 dualbound = 3577952.547519, lowerbound=1289978.547519, norm of subgrad 36.537621 stepsize= 1.000000
+dualbound = 3578014.672304, lowerbound=1286847.672304, norm of subgrad 1134.925844 dualbound = 3578014.672304, lowerbound=1286847.672304, norm of subgrad 35.652837 stepsize= 1.000000
+dualbound = 3578112.776693, lowerbound=1290868.776693, norm of subgrad 1136.687634 dualbound = 3578112.776693, lowerbound=1290868.776693, norm of subgrad 35.890171 stepsize= 1.000000
+dualbound = 3578162.369375, lowerbound=1285335.369375, norm of subgrad 1134.247490 dualbound = 3578162.369375, lowerbound=1285335.369375, norm of subgrad 35.094055 stepsize= 1.000000
+dualbound = 3578267.294943, lowerbound=1283703.294943, norm of subgrad 1133.540601 dualbound = 3578267.294943, lowerbound=1283703.294943, norm of subgrad 36.275688 stepsize= 1.000000
+dualbound = 3578299.810017, lowerbound=1286859.810017, norm of subgrad 1134.919737 dualbound = 3578299.810017, lowerbound=1286859.810017, norm of subgrad 34.864238 stepsize= 1.000000
+dualbound = 3578381.465604, lowerbound=1287872.465604, norm of subgrad 1135.378996 dualbound = 3578381.465604, lowerbound=1287872.465604, norm of subgrad 35.981323 stepsize= 1.000000
+dualbound = 3578460.547345, lowerbound=1284617.547345, norm of subgrad 1133.936307 dualbound = 3578460.547345, lowerbound=1284617.547345, norm of subgrad 35.680271 stepsize= 1.000000
+dualbound = 3578528.227080, lowerbound=1288944.227080, norm of subgrad 1135.847801 dualbound = 3578528.227080, lowerbound=1288944.227080, norm of subgrad 35.688650 stepsize= 1.000000
+dualbound = 3578577.173241, lowerbound=1291978.173241, norm of subgrad 1137.194431 dualbound = 3578577.173241, lowerbound=1291978.173241, norm of subgrad 35.804276 stepsize= 1.000000
+dualbound = 3578654.005517, lowerbound=1286575.005517, norm of subgrad 1134.825099 dualbound = 3578654.005517, lowerbound=1286575.005517, norm of subgrad 36.466865 stepsize= 1.000000
+dualbound = 3578720.936611, lowerbound=1287050.936611, norm of subgrad 1135.051513 dualbound = 3578720.936611, lowerbound=1287050.936611, norm of subgrad 36.850117 stepsize= 1.000000
+dualbound = 3578793.601272, lowerbound=1287442.601272, norm of subgrad 1135.202890 dualbound = 3578793.601272, lowerbound=1287442.601272, norm of subgrad 36.272092 stepsize= 1.000000
+dualbound = 3578866.573500, lowerbound=1284471.573500, norm of subgrad 1133.891782 dualbound = 3578866.573500, lowerbound=1284471.573500, norm of subgrad 36.221157 stepsize= 1.000000
+dualbound = 3578926.835747, lowerbound=1287016.835747, norm of subgrad 1135.003452 dualbound = 3578926.835747, lowerbound=1287016.835747, norm of subgrad 35.724813 stepsize= 1.000000
+dualbound = 3579027.461982, lowerbound=1288705.461982, norm of subgrad 1135.714076 dualbound = 3579027.461982, lowerbound=1288705.461982, norm of subgrad 35.236717 stepsize= 1.000000
+dualbound = 3579097.244622, lowerbound=1281304.244622, norm of subgrad 1132.478805 dualbound = 3579097.244622, lowerbound=1281304.244622, norm of subgrad 35.690092 stepsize= 1.000000
+dualbound = 3579154.696009, lowerbound=1292787.696009, norm of subgrad 1137.541074 dualbound = 3579154.696009, lowerbound=1292787.696009, norm of subgrad 35.629361 stepsize= 1.000000
+dualbound = 3579226.168456, lowerbound=1285275.168456, norm of subgrad 1134.238145 dualbound = 3579226.168456, lowerbound=1285275.168456, norm of subgrad 35.950973 stepsize= 1.000000
+dualbound = 3579286.843352, lowerbound=1290906.843352, norm of subgrad 1136.685024 dualbound = 3579286.843352, lowerbound=1290906.843352, norm of subgrad 34.737226 stepsize= 1.000000
+dualbound = 3579383.892888, lowerbound=1278878.892888, norm of subgrad 1131.433115 dualbound = 3579383.892888, lowerbound=1278878.892888, norm of subgrad 36.865289 stepsize= 1.000000
+dualbound = 3579381.421664, lowerbound=1291080.421664, norm of subgrad 1136.849780 dualbound = 3579381.421664, lowerbound=1291080.421664, norm of subgrad 36.667817 stepsize= 1.000000
+dualbound = 3579464.978454, lowerbound=1281807.978454, norm of subgrad 1132.716636 dualbound = 3579464.978454, lowerbound=1281807.978454, norm of subgrad 36.366974 stepsize= 1.000000
+dualbound = 3579562.563369, lowerbound=1292412.563369, norm of subgrad 1137.371339 dualbound = 3579562.563369, lowerbound=1292412.563369, norm of subgrad 36.035884 stepsize= 1.000000
+dualbound = 3579629.638696, lowerbound=1282262.638696, norm of subgrad 1132.920403 dualbound = 3579629.638696, lowerbound=1282262.638696, norm of subgrad 36.236381 stepsize= 1.000000
+dualbound = 3579685.150170, lowerbound=1289248.150170, norm of subgrad 1136.017672 dualbound = 3579685.150170, lowerbound=1289248.150170, norm of subgrad 36.653942 stepsize= 1.000000
+dualbound = 3579750.039507, lowerbound=1278539.039507, norm of subgrad 1131.270984 dualbound = 3579750.039507, lowerbound=1278539.039507, norm of subgrad 36.053978 stepsize= 1.000000
+dualbound = 3579835.734836, lowerbound=1288219.734836, norm of subgrad 1135.548649 dualbound = 3579835.734836, lowerbound=1288219.734836, norm of subgrad 36.560844 stepsize= 1.000000
+dualbound = 3579913.706510, lowerbound=1282398.706510, norm of subgrad 1132.966772 dualbound = 3579913.706510, lowerbound=1282398.706510, norm of subgrad 35.957915 stepsize= 1.000000
+dualbound = 3580012.018138, lowerbound=1289942.018138, norm of subgrad 1136.286944 dualbound = 3580012.018138, lowerbound=1289942.018138, norm of subgrad 36.115255 stepsize= 1.000000
+dualbound = 3580072.153821, lowerbound=1283579.153821, norm of subgrad 1133.477020 dualbound = 3580072.153821, lowerbound=1283579.153821, norm of subgrad 35.371396 stepsize= 1.000000
+dualbound = 3580149.065795, lowerbound=1287142.065795, norm of subgrad 1135.007958 dualbound = 3580149.065795, lowerbound=1287142.065795, norm of subgrad 34.320722 stepsize= 1.000000
+dualbound = 3580232.795372, lowerbound=1284985.795372, norm of subgrad 1134.080154 dualbound = 3580232.795372, lowerbound=1284985.795372, norm of subgrad 35.152945 stepsize= 1.000000
+dualbound = 3580278.806186, lowerbound=1284741.806186, norm of subgrad 1134.002560 dualbound = 3580278.806186, lowerbound=1284741.806186, norm of subgrad 35.581046 stepsize= 1.000000
+dualbound = 3580341.761881, lowerbound=1286242.761881, norm of subgrad 1134.659756 dualbound = 3580341.761881, lowerbound=1286242.761881, norm of subgrad 35.678505 stepsize= 1.000000
+dualbound = 3580426.137683, lowerbound=1286346.137683, norm of subgrad 1134.685480 dualbound = 3580426.137683, lowerbound=1286346.137683, norm of subgrad 35.346510 stepsize= 1.000000
+dualbound = 3580491.213546, lowerbound=1288799.213546, norm of subgrad 1135.792769 dualbound = 3580491.213546, lowerbound=1288799.213546, norm of subgrad 35.931544 stepsize= 1.000000
+dualbound = 3580543.781696, lowerbound=1287942.781696, norm of subgrad 1135.429778 dualbound = 3580543.781696, lowerbound=1287942.781696, norm of subgrad 36.201770 stepsize= 1.000000
+dualbound = 3580618.771965, lowerbound=1287325.771965, norm of subgrad 1135.107383 dualbound = 3580618.771965, lowerbound=1287325.771965, norm of subgrad 34.899717 stepsize= 1.000000
+dualbound = 3580706.910581, lowerbound=1289859.910581, norm of subgrad 1136.231451 dualbound = 3580706.910581, lowerbound=1289859.910581, norm of subgrad 35.357299 stepsize= 1.000000
+dualbound = 3580760.214479, lowerbound=1285693.214479, norm of subgrad 1134.417566 dualbound = 3580760.214479, lowerbound=1285693.214479, norm of subgrad 35.542987 stepsize= 1.000000
+dualbound = 3580825.463008, lowerbound=1288597.463008, norm of subgrad 1135.697347 dualbound = 3580825.463008, lowerbound=1288597.463008, norm of subgrad 35.724621 stepsize= 1.000000
+dualbound = 3580885.480047, lowerbound=1292604.480047, norm of subgrad 1137.456584 dualbound = 3580885.480047, lowerbound=1292604.480047, norm of subgrad 35.538951 stepsize= 1.000000
+dualbound = 3580981.993510, lowerbound=1288309.993510, norm of subgrad 1135.563293 dualbound = 3580981.993510, lowerbound=1288309.993510, norm of subgrad 35.923717 stepsize= 1.000000
+dualbound = 3581021.724152, lowerbound=1285102.724152, norm of subgrad 1134.168296 dualbound = 3581021.724152, lowerbound=1285102.724152, norm of subgrad 35.703370 stepsize= 1.000000
+dualbound = 3581109.318606, lowerbound=1291003.318606, norm of subgrad 1136.760009 dualbound = 3581109.318606, lowerbound=1291003.318606, norm of subgrad 36.160676 stepsize= 1.000000
+dualbound = 3581153.114261, lowerbound=1290110.114261, norm of subgrad 1136.379388 dualbound = 3581153.114261, lowerbound=1290110.114261, norm of subgrad 35.941559 stepsize= 1.000000
+dualbound = 3581240.958730, lowerbound=1282405.958730, norm of subgrad 1132.976592 dualbound = 3581240.958730, lowerbound=1282405.958730, norm of subgrad 36.302128 stepsize= 1.000000
+dualbound = 3581299.672800, lowerbound=1286029.672800, norm of subgrad 1134.615209 dualbound = 3581299.672800, lowerbound=1286029.672800, norm of subgrad 37.157961 stepsize= 1.000000
+dualbound = 3581349.467849, lowerbound=1284448.467849, norm of subgrad 1133.893058 dualbound = 3581349.467849, lowerbound=1284448.467849, norm of subgrad 36.260103 stepsize= 1.000000
+dualbound = 3581464.348649, lowerbound=1289938.348649, norm of subgrad 1136.276968 dualbound = 3581464.348649, lowerbound=1289938.348649, norm of subgrad 36.081585 stepsize= 1.000000
+dualbound = 3581539.211490, lowerbound=1283691.211490, norm of subgrad 1133.534389 dualbound = 3581539.211490, lowerbound=1283691.211490, norm of subgrad 35.831032 stepsize= 1.000000
+dualbound = 3581591.138180, lowerbound=1288601.138180, norm of subgrad 1135.713053 dualbound = 3581591.138180, lowerbound=1288601.138180, norm of subgrad 35.985090 stepsize= 1.000000
+dualbound = 3581654.562114, lowerbound=1285577.562114, norm of subgrad 1134.351163 dualbound = 3581654.562114, lowerbound=1285577.562114, norm of subgrad 35.191248 stepsize= 1.000000
+dualbound = 3581754.166873, lowerbound=1287289.166873, norm of subgrad 1135.109760 dualbound = 3581754.166873, lowerbound=1287289.166873, norm of subgrad 35.841383 stepsize= 1.000000
+dualbound = 3581801.361883, lowerbound=1285467.361883, norm of subgrad 1134.286719 dualbound = 3581801.361883, lowerbound=1285467.361883, norm of subgrad 34.441182 stepsize= 1.000000
+dualbound = 3581892.141776, lowerbound=1289692.141776, norm of subgrad 1136.147500 dualbound = 3581892.141776, lowerbound=1289692.141776, norm of subgrad 35.068218 stepsize= 1.000000
+dualbound = 3581969.339384, lowerbound=1285152.339384, norm of subgrad 1134.164600 dualbound = 3581969.339384, lowerbound=1285152.339384, norm of subgrad 35.414652 stepsize= 1.000000
+dualbound = 3582007.886984, lowerbound=1288471.886984, norm of subgrad 1135.618724 dualbound = 3582007.886984, lowerbound=1288471.886984, norm of subgrad 34.591149 stepsize= 1.000000
+dualbound = 3582091.816209, lowerbound=1289468.816209, norm of subgrad 1136.072100 dualbound = 3582091.816209, lowerbound=1289468.816209, norm of subgrad 35.706151 stepsize= 1.000000
+dualbound = 3582127.521482, lowerbound=1290051.521482, norm of subgrad 1136.353608 dualbound = 3582127.521482, lowerbound=1290051.521482, norm of subgrad 35.828833 stepsize= 1.000000
+dualbound = 3582214.320948, lowerbound=1285049.320948, norm of subgrad 1134.124914 dualbound = 3582214.320948, lowerbound=1285049.320948, norm of subgrad 35.732331 stepsize= 1.000000
+dualbound = 3582279.734401, lowerbound=1286485.734401, norm of subgrad 1134.776513 dualbound = 3582279.734401, lowerbound=1286485.734401, norm of subgrad 36.019626 stepsize= 1.000000
+dualbound = 3582359.451182, lowerbound=1288113.451182, norm of subgrad 1135.497887 dualbound = 3582359.451182, lowerbound=1288113.451182, norm of subgrad 36.355423 stepsize= 1.000000
+dualbound = 3582411.235155, lowerbound=1288929.235155, norm of subgrad 1135.876857 dualbound = 3582411.235155, lowerbound=1288929.235155, norm of subgrad 36.589397 stepsize= 1.000000
+dualbound = 3582488.495987, lowerbound=1284784.495987, norm of subgrad 1134.027555 dualbound = 3582488.495987, lowerbound=1284784.495987, norm of subgrad 36.211336 stepsize= 1.000000
+dualbound = 3582525.423493, lowerbound=1291004.423493, norm of subgrad 1136.784247 dualbound = 3582525.423493, lowerbound=1291004.423493, norm of subgrad 36.206733 stepsize= 1.000000
+dualbound = 3582625.341468, lowerbound=1281666.341468, norm of subgrad 1132.651465 dualbound = 3582625.341468, lowerbound=1281666.341468, norm of subgrad 36.509149 stepsize= 1.000000
+dualbound = 3582700.314840, lowerbound=1290550.314840, norm of subgrad 1136.589334 dualbound = 3582700.314840, lowerbound=1290550.314840, norm of subgrad 36.877817 stepsize= 1.000000
+dualbound = 3582751.221981, lowerbound=1285254.221981, norm of subgrad 1134.242136 dualbound = 3582751.221981, lowerbound=1285254.221981, norm of subgrad 36.081950 stepsize= 1.000000
+dualbound = 3582844.632584, lowerbound=1285671.632584, norm of subgrad 1134.397916 dualbound = 3582844.632584, lowerbound=1285671.632584, norm of subgrad 35.782826 stepsize= 1.000000
+dualbound = 3582914.170031, lowerbound=1285946.170031, norm of subgrad 1134.521560 dualbound = 3582914.170031, lowerbound=1285946.170031, norm of subgrad 35.532203 stepsize= 1.000000
+dualbound = 3582984.310510, lowerbound=1293618.310510, norm of subgrad 1137.896441 dualbound = 3582984.310510, lowerbound=1293618.310510, norm of subgrad 35.498457 stepsize= 1.000000
+dualbound = 3583060.928379, lowerbound=1285990.928379, norm of subgrad 1134.544370 dualbound = 3583060.928379, lowerbound=1285990.928379, norm of subgrad 35.729790 stepsize= 1.000000
+dualbound = 3583133.078743, lowerbound=1289653.078743, norm of subgrad 1136.144392 dualbound = 3583133.078743, lowerbound=1289653.078743, norm of subgrad 35.258338 stepsize= 1.000000
+dualbound = 3583193.962789, lowerbound=1286875.962789, norm of subgrad 1134.941832 dualbound = 3583193.962789, lowerbound=1286875.962789, norm of subgrad 35.747504 stepsize= 1.000000
+dualbound = 3583244.853949, lowerbound=1289581.853949, norm of subgrad 1136.133731 dualbound = 3583244.853949, lowerbound=1289581.853949, norm of subgrad 35.621499 stepsize= 1.000000
+dualbound = 3583324.464821, lowerbound=1289876.464821, norm of subgrad 1136.282740 dualbound = 3583324.464821, lowerbound=1289876.464821, norm of subgrad 36.628007 stepsize= 1.000000
+dualbound = 3583385.546711, lowerbound=1291475.546711, norm of subgrad 1136.987487 dualbound = 3583385.546711, lowerbound=1291475.546711, norm of subgrad 36.415407 stepsize= 1.000000
+dualbound = 3583461.074450, lowerbound=1288295.074450, norm of subgrad 1135.607800 dualbound = 3583461.074450, lowerbound=1288295.074450, norm of subgrad 37.222678 stepsize= 1.000000
+dualbound = 3583504.130180, lowerbound=1290746.130180, norm of subgrad 1136.664916 dualbound = 3583504.130180, lowerbound=1290746.130180, norm of subgrad 36.111712 stepsize= 1.000000
+dualbound = 3583613.790822, lowerbound=1284125.790822, norm of subgrad 1133.703132 dualbound = 3583613.790822, lowerbound=1284125.790822, norm of subgrad 35.590176 stepsize= 1.000000
+dualbound = 3583698.076542, lowerbound=1289282.076542, norm of subgrad 1136.017199 dualbound = 3583698.076542, lowerbound=1289282.076542, norm of subgrad 36.568917 stepsize= 1.000000
+dualbound = 3583734.594466, lowerbound=1287519.594466, norm of subgrad 1135.233718 dualbound = 3583734.594466, lowerbound=1287519.594466, norm of subgrad 35.672369 stepsize= 1.000000
+dualbound = 3583807.444786, lowerbound=1285034.444786, norm of subgrad 1134.133345 dualbound = 3583807.444786, lowerbound=1285034.444786, norm of subgrad 36.011808 stepsize= 1.000000
+dualbound = 3583888.409586, lowerbound=1285115.409586, norm of subgrad 1134.153609 dualbound = 3583888.409586, lowerbound=1285115.409586, norm of subgrad 35.636565 stepsize= 1.000000
+dualbound = 3583965.204831, lowerbound=1291602.204831, norm of subgrad 1137.007566 dualbound = 3583965.204831, lowerbound=1291602.204831, norm of subgrad 35.507679 stepsize= 1.000000
+dualbound = 3584029.620181, lowerbound=1289069.620181, norm of subgrad 1135.888032 dualbound = 3584029.620181, lowerbound=1289069.620181, norm of subgrad 35.162698 stepsize= 1.000000
+dualbound = 3584104.698282, lowerbound=1286694.698282, norm of subgrad 1134.846112 dualbound = 3584104.698282, lowerbound=1286694.698282, norm of subgrad 35.441192 stepsize= 1.000000
+dualbound = 3584165.389054, lowerbound=1285371.389054, norm of subgrad 1134.277034 dualbound = 3584165.389054, lowerbound=1285371.389054, norm of subgrad 35.688805 stepsize= 1.000000
+dualbound = 3584236.224135, lowerbound=1286983.224135, norm of subgrad 1134.966618 dualbound = 3584236.224135, lowerbound=1286983.224135, norm of subgrad 35.168666 stepsize= 1.000000
+dualbound = 3584307.566179, lowerbound=1284467.566179, norm of subgrad 1133.856061 dualbound = 3584307.566179, lowerbound=1284467.566179, norm of subgrad 35.118970 stepsize= 1.000000
+dualbound = 3584394.364692, lowerbound=1286712.364692, norm of subgrad 1134.875044 dualbound = 3584394.364692, lowerbound=1286712.364692, norm of subgrad 36.273937 stepsize= 1.000000
+dualbound = 3584424.068804, lowerbound=1284988.068804, norm of subgrad 1134.121717 dualbound = 3584424.068804, lowerbound=1284988.068804, norm of subgrad 35.688991 stepsize= 1.000000
+dualbound = 3584510.053631, lowerbound=1284933.053631, norm of subgrad 1134.074095 dualbound = 3584510.053631, lowerbound=1284933.053631, norm of subgrad 35.734924 stepsize= 1.000000
+dualbound = 3584582.746001, lowerbound=1287556.746001, norm of subgrad 1135.251843 dualbound = 3584582.746001, lowerbound=1287556.746001, norm of subgrad 36.231097 stepsize= 1.000000
+dualbound = 3584628.471187, lowerbound=1287601.471187, norm of subgrad 1135.263173 dualbound = 3584628.471187, lowerbound=1287601.471187, norm of subgrad 35.591083 stepsize= 1.000000
+dualbound = 3584725.784261, lowerbound=1290604.784261, norm of subgrad 1136.569305 dualbound = 3584725.784261, lowerbound=1290604.784261, norm of subgrad 35.809399 stepsize= 1.000000
+dualbound = 3584790.727067, lowerbound=1285759.727067, norm of subgrad 1134.435863 dualbound = 3584790.727067, lowerbound=1285759.727067, norm of subgrad 35.354530 stepsize= 1.000000
+dualbound = 3584830.267603, lowerbound=1290783.267603, norm of subgrad 1136.695767 dualbound = 3584830.267603, lowerbound=1290783.267603, norm of subgrad 36.517674 stepsize= 1.000000
+dualbound = 3584915.466534, lowerbound=1291991.466534, norm of subgrad 1137.220500 dualbound = 3584915.466534, lowerbound=1291991.466534, norm of subgrad 36.935064 stepsize= 1.000000
+dualbound = 3585006.863936, lowerbound=1285108.863936, norm of subgrad 1134.146315 dualbound = 3585006.863936, lowerbound=1285108.863936, norm of subgrad 35.642635 stepsize= 1.000000
+dualbound = 3585065.753919, lowerbound=1291622.753919, norm of subgrad 1137.025397 dualbound = 3585065.753919, lowerbound=1291622.753919, norm of subgrad 35.537163 stepsize= 1.000000
+dualbound = 3585159.607152, lowerbound=1282664.607152, norm of subgrad 1133.070433 dualbound = 3585159.607152, lowerbound=1282664.607152, norm of subgrad 35.747073 stepsize= 1.000000
+dualbound = 3585201.990911, lowerbound=1289430.990911, norm of subgrad 1136.067336 dualbound = 3585201.990911, lowerbound=1289430.990911, norm of subgrad 35.501884 stepsize= 1.000000
+dualbound = 3585271.793765, lowerbound=1284699.793765, norm of subgrad 1133.982713 dualbound = 3585271.793765, lowerbound=1284699.793765, norm of subgrad 35.872034 stepsize= 1.000000
+dualbound = 3585341.850356, lowerbound=1290379.850356, norm of subgrad 1136.490585 dualbound = 3585341.850356, lowerbound=1290379.850356, norm of subgrad 36.070162 stepsize= 1.000000
+dualbound = 3585407.596355, lowerbound=1281436.596355, norm of subgrad 1132.550041 dualbound = 3585407.596355, lowerbound=1281436.596355, norm of subgrad 36.038119 stepsize= 1.000000
+dualbound = 3585444.344225, lowerbound=1287815.344225, norm of subgrad 1135.382466 dualbound = 3585444.344225, lowerbound=1287815.344225, norm of subgrad 36.259452 stepsize= 1.000000
+dualbound = 3585557.818341, lowerbound=1282581.818341, norm of subgrad 1133.052434 dualbound = 3585557.818341, lowerbound=1282581.818341, norm of subgrad 36.598827 stepsize= 1.000000
+dualbound = 3585609.483758, lowerbound=1295011.483758, norm of subgrad 1138.518987 dualbound = 3585609.483758, lowerbound=1295011.483758, norm of subgrad 35.576192 stepsize= 1.000000
+dualbound = 3585677.072646, lowerbound=1285730.072646, norm of subgrad 1134.461578 dualbound = 3585677.072646, lowerbound=1285730.072646, norm of subgrad 36.614053 stepsize= 1.000000
+dualbound = 3585730.140067, lowerbound=1291165.140067, norm of subgrad 1136.802595 dualbound = 3585730.140067, lowerbound=1291165.140067, norm of subgrad 34.757264 stepsize= 1.000000
+dualbound = 3585871.894337, lowerbound=1289459.894337, norm of subgrad 1136.027242 dualbound = 3585871.894337, lowerbound=1289459.894337, norm of subgrad 35.210144 stepsize= 1.000000
+dualbound = 3585913.756253, lowerbound=1288079.756253, norm of subgrad 1135.476004 dualbound = 3585913.756253, lowerbound=1288079.756253, norm of subgrad 35.607049 stepsize= 1.000000
+dualbound = 3585966.882429, lowerbound=1286727.882429, norm of subgrad 1134.879678 dualbound = 3585966.882429, lowerbound=1286727.882429, norm of subgrad 35.736902 stepsize= 1.000000
+dualbound = 3586034.444912, lowerbound=1287654.444912, norm of subgrad 1135.307203 dualbound = 3586034.444912, lowerbound=1287654.444912, norm of subgrad 36.545348 stepsize= 1.000000
+dualbound = 3586088.987364, lowerbound=1283698.987364, norm of subgrad 1133.548846 dualbound = 3586088.987364, lowerbound=1283698.987364, norm of subgrad 35.896274 stepsize= 1.000000
+dualbound = 3586154.910848, lowerbound=1291266.910848, norm of subgrad 1136.871545 dualbound = 3586154.910848, lowerbound=1291266.910848, norm of subgrad 35.720071 stepsize= 1.000000
+dualbound = 3586245.267999, lowerbound=1283816.267999, norm of subgrad 1133.598813 dualbound = 3586245.267999, lowerbound=1283816.267999, norm of subgrad 36.336719 stepsize= 1.000000
+dualbound = 3586297.928561, lowerbound=1290294.928561, norm of subgrad 1136.454103 dualbound = 3586297.928561, lowerbound=1290294.928561, norm of subgrad 35.856109 stepsize= 1.000000
+dualbound = 3586391.154920, lowerbound=1286433.154920, norm of subgrad 1134.722942 dualbound = 3586391.154920, lowerbound=1286433.154920, norm of subgrad 35.443284 stepsize= 1.000000
+dualbound = 3586473.999549, lowerbound=1293087.999549, norm of subgrad 1137.652407 dualbound = 3586473.999549, lowerbound=1293087.999549, norm of subgrad 35.324844 stepsize= 1.000000
+dualbound = 3586520.875097, lowerbound=1281267.875097, norm of subgrad 1132.479084 dualbound = 3586520.875097, lowerbound=1281267.875097, norm of subgrad 35.886983 stepsize= 1.000000
+dualbound = 3586581.040850, lowerbound=1288618.040850, norm of subgrad 1135.666782 dualbound = 3586581.040850, lowerbound=1288618.040850, norm of subgrad 34.368092 stepsize= 1.000000
+dualbound = 3586684.583015, lowerbound=1286677.583015, norm of subgrad 1134.830200 dualbound = 3586684.583015, lowerbound=1286677.583015, norm of subgrad 35.574459 stepsize= 1.000000
+dualbound = 3586717.478664, lowerbound=1286148.478664, norm of subgrad 1134.610276 dualbound = 3586717.478664, lowerbound=1286148.478664, norm of subgrad 34.998509 stepsize= 1.000000
+dualbound = 3586802.799526, lowerbound=1290721.799526, norm of subgrad 1136.632658 dualbound = 3586802.799526, lowerbound=1290721.799526, norm of subgrad 36.018341 stepsize= 1.000000
+dualbound = 3586857.412309, lowerbound=1292028.412309, norm of subgrad 1137.200252 dualbound = 3586857.412309, lowerbound=1292028.412309, norm of subgrad 35.364004 stepsize= 1.000000
+dualbound = 3586934.900539, lowerbound=1283548.900539, norm of subgrad 1133.488377 dualbound = 3586934.900539, lowerbound=1283548.900539, norm of subgrad 36.393519 stepsize= 1.000000
+dualbound = 3586992.018051, lowerbound=1289811.018051, norm of subgrad 1136.220057 dualbound = 3586992.018051, lowerbound=1289811.018051, norm of subgrad 35.243688 stepsize= 1.000000
+dualbound = 3587084.038782, lowerbound=1287973.038782, norm of subgrad 1135.405671 dualbound = 3587084.038782, lowerbound=1287973.038782, norm of subgrad 35.567130 stepsize= 1.000000
+dualbound = 3587128.252602, lowerbound=1287455.252602, norm of subgrad 1135.211986 dualbound = 3587128.252602, lowerbound=1287455.252602, norm of subgrad 35.989079 stepsize= 1.000000
+dualbound = 3587191.357393, lowerbound=1284266.357393, norm of subgrad 1133.798641 dualbound = 3587191.357393, lowerbound=1284266.357393, norm of subgrad 36.001455 stepsize= 1.000000
+dualbound = 3587261.068107, lowerbound=1287900.068107, norm of subgrad 1135.395996 dualbound = 3587261.068107, lowerbound=1287900.068107, norm of subgrad 35.968190 stepsize= 1.000000
+dualbound = 3587330.333593, lowerbound=1286943.333593, norm of subgrad 1134.970191 dualbound = 3587330.333593, lowerbound=1286943.333593, norm of subgrad 35.822695 stepsize= 1.000000
+dualbound = 3587422.779916, lowerbound=1289368.779916, norm of subgrad 1136.040395 dualbound = 3587422.779916, lowerbound=1289368.779916, norm of subgrad 36.213897 stepsize= 1.000000
+dualbound = 3587467.614680, lowerbound=1287705.614680, norm of subgrad 1135.310361 dualbound = 3587467.614680, lowerbound=1287705.614680, norm of subgrad 35.620707 stepsize= 1.000000
+dualbound = 3587541.176349, lowerbound=1290457.176349, norm of subgrad 1136.572117 dualbound = 3587541.176349, lowerbound=1290457.176349, norm of subgrad 37.584061 stepsize= 1.000000
+dualbound = 3587589.224912, lowerbound=1286927.224912, norm of subgrad 1134.960010 dualbound = 3587589.224912, lowerbound=1286927.224912, norm of subgrad 35.426665 stepsize= 1.000000
+dualbound = 3587685.436905, lowerbound=1290389.436905, norm of subgrad 1136.482484 dualbound = 3587685.436905, lowerbound=1290389.436905, norm of subgrad 36.044583 stepsize= 1.000000
+dualbound = 3587768.806444, lowerbound=1289783.806444, norm of subgrad 1136.208962 dualbound = 3587768.806444, lowerbound=1289783.806444, norm of subgrad 35.642244 stepsize= 1.000000
+dualbound = 3587841.504446, lowerbound=1289390.504446, norm of subgrad 1136.036753 dualbound = 3587841.504446, lowerbound=1289390.504446, norm of subgrad 35.520389 stepsize= 1.000000
+dualbound = 3587883.794391, lowerbound=1288065.794391, norm of subgrad 1135.483947 dualbound = 3587883.794391, lowerbound=1288065.794391, norm of subgrad 36.059533 stepsize= 1.000000
+dualbound = 3587942.808837, lowerbound=1287351.808837, norm of subgrad 1135.160257 dualbound = 3587942.808837, lowerbound=1287351.808837, norm of subgrad 36.000201 stepsize= 1.000000
+dualbound = 3588050.525399, lowerbound=1288337.525399, norm of subgrad 1135.585103 dualbound = 3588050.525399, lowerbound=1288337.525399, norm of subgrad 36.382916 stepsize= 1.000000
+dualbound = 3588110.596846, lowerbound=1285020.596846, norm of subgrad 1134.091529 dualbound = 3588110.596846, lowerbound=1285020.596846, norm of subgrad 34.685320 stepsize= 1.000000
+dualbound = 3588192.170794, lowerbound=1287899.170794, norm of subgrad 1135.385032 dualbound = 3588192.170794, lowerbound=1287899.170794, norm of subgrad 35.799077 stepsize= 1.000000
+dualbound = 3588252.416847, lowerbound=1291309.416847, norm of subgrad 1136.917946 dualbound = 3588252.416847, lowerbound=1291309.416847, norm of subgrad 36.513642 stepsize= 1.000000
+dualbound = 3588282.483057, lowerbound=1284612.483057, norm of subgrad 1133.977285 dualbound = 3588282.483057, lowerbound=1284612.483057, norm of subgrad 36.360228 stepsize= 1.000000
+dualbound = 3588383.232832, lowerbound=1290977.232832, norm of subgrad 1136.730501 dualbound = 3588383.232832, lowerbound=1290977.232832, norm of subgrad 35.773590 stepsize= 1.000000
+dualbound = 3588486.097992, lowerbound=1286783.097992, norm of subgrad 1134.859065 dualbound = 3588486.097992, lowerbound=1286783.097992, norm of subgrad 34.998074 stepsize= 1.000000
+dualbound = 3588533.091099, lowerbound=1286746.091099, norm of subgrad 1134.906644 dualbound = 3588533.091099, lowerbound=1286746.091099, norm of subgrad 36.249043 stepsize= 1.000000
+dualbound = 3588604.663364, lowerbound=1286139.663364, norm of subgrad 1134.605951 dualbound = 3588604.663364, lowerbound=1286139.663364, norm of subgrad 35.532693 stepsize= 1.000000
+dualbound = 3588674.670497, lowerbound=1287311.670497, norm of subgrad 1135.108660 dualbound = 3588674.670497, lowerbound=1287311.670497, norm of subgrad 35.071458 stepsize= 1.000000
+dualbound = 3588760.192475, lowerbound=1289579.192475, norm of subgrad 1136.094711 dualbound = 3588760.192475, lowerbound=1289579.192475, norm of subgrad 34.893008 stepsize= 1.000000
+dualbound = 3588780.211402, lowerbound=1286506.211402, norm of subgrad 1134.785095 dualbound = 3588780.211402, lowerbound=1286506.211402, norm of subgrad 35.369746 stepsize= 1.000000
+dualbound = 3588873.144126, lowerbound=1290526.144126, norm of subgrad 1136.550106 dualbound = 3588873.144126, lowerbound=1290526.144126, norm of subgrad 36.234414 stepsize= 1.000000
+dualbound = 3588945.268393, lowerbound=1286104.268393, norm of subgrad 1134.599607 dualbound = 3588945.268393, lowerbound=1286104.268393, norm of subgrad 35.834680 stepsize= 1.000000
+dualbound = 3589003.709358, lowerbound=1288518.709358, norm of subgrad 1135.675882 dualbound = 3589003.709358, lowerbound=1288518.709358, norm of subgrad 36.047759 stepsize= 1.000000
+dualbound = 3589082.307248, lowerbound=1287673.307248, norm of subgrad 1135.273671 dualbound = 3589082.307248, lowerbound=1287673.307248, norm of subgrad 35.377929 stepsize= 1.000000
+dualbound = 3589147.289469, lowerbound=1289418.289469, norm of subgrad 1136.072308 dualbound = 3589147.289469, lowerbound=1289418.289469, norm of subgrad 36.152209 stepsize= 1.000000
+dualbound = 3589210.233796, lowerbound=1284669.233796, norm of subgrad 1133.970561 dualbound = 3589210.233796, lowerbound=1284669.233796, norm of subgrad 35.818212 stepsize= 1.000000
+dualbound = 3589296.732858, lowerbound=1289434.732858, norm of subgrad 1136.057539 dualbound = 3589296.732858, lowerbound=1289434.732858, norm of subgrad 35.756105 stepsize= 1.000000
+dualbound = 3589344.232058, lowerbound=1290893.232058, norm of subgrad 1136.711587 dualbound = 3589344.232058, lowerbound=1290893.232058, norm of subgrad 35.601955 stepsize= 1.000000
+dualbound = 3589416.311491, lowerbound=1293151.311491, norm of subgrad 1137.723302 dualbound = 3589416.311491, lowerbound=1293151.311491, norm of subgrad 36.538739 stepsize= 1.000000
+dualbound = 3589469.359826, lowerbound=1286445.359826, norm of subgrad 1134.784279 dualbound = 3589469.359826, lowerbound=1286445.359826, norm of subgrad 36.647624 stepsize= 1.000000
+dualbound = 3589559.576218, lowerbound=1292788.576218, norm of subgrad 1137.567394 dualbound = 3589559.576218, lowerbound=1292788.576218, norm of subgrad 36.894666 stepsize= 1.000000
+dualbound = 3589609.415925, lowerbound=1286997.415925, norm of subgrad 1135.026174 dualbound = 3589609.415925, lowerbound=1286997.415925, norm of subgrad 36.562819 stepsize= 1.000000
+dualbound = 3589692.542118, lowerbound=1286402.542118, norm of subgrad 1134.742060 dualbound = 3589692.542118, lowerbound=1286402.542118, norm of subgrad 36.333541 stepsize= 1.000000
+dualbound = 3589765.315563, lowerbound=1293864.315563, norm of subgrad 1138.006290 dualbound = 3589765.315563, lowerbound=1293864.315563, norm of subgrad 35.591761 stepsize= 1.000000
+dualbound = 3589844.648258, lowerbound=1287942.648258, norm of subgrad 1135.394050 dualbound = 3589844.648258, lowerbound=1287942.648258, norm of subgrad 35.444784 stepsize= 1.000000
+dualbound = 3589917.476741, lowerbound=1285017.476741, norm of subgrad 1134.119252 dualbound = 3589917.476741, lowerbound=1285017.476741, norm of subgrad 35.802632 stepsize= 1.000000
+dualbound = 3589971.144346, lowerbound=1285090.144346, norm of subgrad 1134.123073 dualbound = 3589971.144346, lowerbound=1285090.144346, norm of subgrad 34.621779 stepsize= 1.000000
+dualbound = 3590075.320739, lowerbound=1288290.320739, norm of subgrad 1135.525130 dualbound = 3590075.320739, lowerbound=1288290.320739, norm of subgrad 35.088123 stepsize= 1.000000
+dualbound = 3590120.857260, lowerbound=1281714.857260, norm of subgrad 1132.664936 dualbound = 3590120.857260, lowerbound=1281714.857260, norm of subgrad 35.504035 stepsize= 1.000000
+dualbound = 3590197.747834, lowerbound=1287976.747834, norm of subgrad 1135.404663 dualbound = 3590197.747834, lowerbound=1287976.747834, norm of subgrad 35.268833 stepsize= 1.000000
+dualbound = 3590271.885176, lowerbound=1290405.885176, norm of subgrad 1136.486641 dualbound = 3590271.885176, lowerbound=1290405.885176, norm of subgrad 35.638986 stepsize= 1.000000
+dualbound = 3590335.141737, lowerbound=1287952.141737, norm of subgrad 1135.425533 dualbound = 3590335.141737, lowerbound=1287952.141737, norm of subgrad 36.086792 stepsize= 1.000000
+dualbound = 3590373.290023, lowerbound=1287370.290023, norm of subgrad 1135.193063 dualbound = 3590373.290023, lowerbound=1287370.290023, norm of subgrad 36.484905 stepsize= 1.000000
+dualbound = 3590445.976428, lowerbound=1285158.976428, norm of subgrad 1134.225276 dualbound = 3590445.976428, lowerbound=1285158.976428, norm of subgrad 37.157589 stepsize= 1.000000
+dualbound = 3590533.393937, lowerbound=1292222.393937, norm of subgrad 1137.300925 dualbound = 3590533.393937, lowerbound=1292222.393937, norm of subgrad 36.310019 stepsize= 1.000000
+dualbound = 3590580.738530, lowerbound=1288351.738530, norm of subgrad 1135.605010 dualbound = 3590580.738530, lowerbound=1288351.738530, norm of subgrad 35.977001 stepsize= 1.000000
+dualbound = 3590647.383868, lowerbound=1290957.383868, norm of subgrad 1136.763557 dualbound = 3590647.383868, lowerbound=1290957.383868, norm of subgrad 36.614824 stepsize= 1.000000
+dualbound = 3590732.597237, lowerbound=1284371.597237, norm of subgrad 1133.833143 dualbound = 3590732.597237, lowerbound=1284371.597237, norm of subgrad 35.933458 stepsize= 1.000000
+dualbound = 3590786.930937, lowerbound=1289140.930937, norm of subgrad 1135.942750 dualbound = 3590786.930937, lowerbound=1289140.930937, norm of subgrad 35.767775 stepsize= 1.000000
+dualbound = 3590867.772569, lowerbound=1283949.772569, norm of subgrad 1133.647993 dualbound = 3590867.772569, lowerbound=1283949.772569, norm of subgrad 35.900441 stepsize= 1.000000
+dualbound = 3590940.324861, lowerbound=1287791.324861, norm of subgrad 1135.330932 dualbound = 3590940.324861, lowerbound=1287791.324861, norm of subgrad 35.461984 stepsize= 1.000000
+dualbound = 3590998.892080, lowerbound=1287361.892080, norm of subgrad 1135.139591 dualbound = 3590998.892080, lowerbound=1287361.892080, norm of subgrad 35.193284 stepsize= 1.000000
+dualbound = 3591091.645075, lowerbound=1287680.645075, norm of subgrad 1135.274260 dualbound = 3591091.645075, lowerbound=1287680.645075, norm of subgrad 35.492999 stepsize= 1.000000
+dualbound = 3591145.337729, lowerbound=1285803.337729, norm of subgrad 1134.502242 dualbound = 3591145.337729, lowerbound=1285803.337729, norm of subgrad 36.683684 stepsize= 1.000000
+dualbound = 3591186.970383, lowerbound=1293350.970383, norm of subgrad 1137.816317 dualbound = 3591186.970383, lowerbound=1293350.970383, norm of subgrad 36.285433 stepsize= 1.000000
+dualbound = 3591266.352359, lowerbound=1282751.352359, norm of subgrad 1133.116654 dualbound = 3591266.352359, lowerbound=1282751.352359, norm of subgrad 35.796396 stepsize= 1.000000
+dualbound = 3591358.948969, lowerbound=1287008.948969, norm of subgrad 1135.001299 dualbound = 3591358.948969, lowerbound=1287008.948969, norm of subgrad 36.215972 stepsize= 1.000000
+dualbound = 3591424.911322, lowerbound=1288051.911322, norm of subgrad 1135.435560 dualbound = 3591424.911322, lowerbound=1288051.911322, norm of subgrad 35.042294 stepsize= 1.000000
+dualbound = 3591491.178445, lowerbound=1290932.178445, norm of subgrad 1136.730917 dualbound = 3591491.178445, lowerbound=1290932.178445, norm of subgrad 35.934205 stepsize= 1.000000
+dualbound = 3591559.707272, lowerbound=1286927.707272, norm of subgrad 1134.961544 dualbound = 3591559.707272, lowerbound=1286927.707272, norm of subgrad 35.756521 stepsize= 1.000000
+dualbound = 3591641.912810, lowerbound=1292698.912810, norm of subgrad 1137.489302 dualbound = 3591641.912810, lowerbound=1292698.912810, norm of subgrad 35.569728 stepsize= 1.000000
+dualbound = 3591701.837559, lowerbound=1285490.837559, norm of subgrad 1134.333213 dualbound = 3591701.837559, lowerbound=1285490.837559, norm of subgrad 35.790009 stepsize= 1.000000
+dualbound = 3591775.021379, lowerbound=1290338.021379, norm of subgrad 1136.482301 dualbound = 3591775.021379, lowerbound=1290338.021379, norm of subgrad 36.430534 stepsize= 1.000000
+dualbound = 3591826.302010, lowerbound=1292705.302010, norm of subgrad 1137.536945 dualbound = 3591826.302010, lowerbound=1292705.302010, norm of subgrad 36.555172 stepsize= 1.000000
+dualbound = 3591878.518220, lowerbound=1286302.518220, norm of subgrad 1134.720458 dualbound = 3591878.518220, lowerbound=1286302.518220, norm of subgrad 36.608964 stepsize= 1.000000
+dualbound = 3591970.480320, lowerbound=1287128.480320, norm of subgrad 1135.074658 dualbound = 3591970.480320, lowerbound=1287128.480320, norm of subgrad 36.850537 stepsize= 1.000000
+dualbound = 3592016.811631, lowerbound=1293075.811631, norm of subgrad 1137.690561 dualbound = 3592016.811631, lowerbound=1293075.811631, norm of subgrad 36.198499 stepsize= 1.000000
+dualbound = 3592093.798463, lowerbound=1292641.798463, norm of subgrad 1137.493208 dualbound = 3592093.798463, lowerbound=1292641.798463, norm of subgrad 36.414102 stepsize= 1.000000
+dualbound = 3592155.111743, lowerbound=1289192.111743, norm of subgrad 1135.987725 dualbound = 3592155.111743, lowerbound=1289192.111743, norm of subgrad 36.569294 stepsize= 1.000000
+dualbound = 3592232.801527, lowerbound=1284191.801527, norm of subgrad 1133.770171 dualbound = 3592232.801527, lowerbound=1284191.801527, norm of subgrad 36.341296 stepsize= 1.000000
+dualbound = 3592308.958290, lowerbound=1284588.958290, norm of subgrad 1133.943984 dualbound = 3592308.958290, lowerbound=1284588.958290, norm of subgrad 36.278875 stepsize= 1.000000
+dualbound = 3592377.582034, lowerbound=1289342.582034, norm of subgrad 1135.988812 dualbound = 3592377.582034, lowerbound=1289342.582034, norm of subgrad 34.592250 stepsize= 1.000000
+dualbound = 3592468.614331, lowerbound=1287658.614331, norm of subgrad 1135.264997 dualbound = 3592468.614331, lowerbound=1287658.614331, norm of subgrad 35.482845 stepsize= 1.000000
+dualbound = 3592535.238244, lowerbound=1288544.238244, norm of subgrad 1135.646177 dualbound = 3592535.238244, lowerbound=1288544.238244, norm of subgrad 34.851455 stepsize= 1.000000
+dualbound = 3592596.307025, lowerbound=1290484.307025, norm of subgrad 1136.536540 dualbound = 3592596.307025, lowerbound=1290484.307025, norm of subgrad 35.945358 stepsize= 1.000000
+dualbound = 3592640.229456, lowerbound=1288743.229456, norm of subgrad 1135.746552 dualbound = 3592640.229456, lowerbound=1288743.229456, norm of subgrad 34.941700 stepsize= 1.000000
+dualbound = 3592731.379049, lowerbound=1284955.379049, norm of subgrad 1134.081293 dualbound = 3592731.379049, lowerbound=1284955.379049, norm of subgrad 35.723236 stepsize= 1.000000
+dualbound = 3592785.697043, lowerbound=1289895.697043, norm of subgrad 1136.272281 dualbound = 3592785.697043, lowerbound=1289895.697043, norm of subgrad 35.683582 stepsize= 1.000000
+dualbound = 3592867.524163, lowerbound=1287637.524163, norm of subgrad 1135.263196 dualbound = 3592867.524163, lowerbound=1287637.524163, norm of subgrad 35.592515 stepsize= 1.000000
+dualbound = 3592957.268041, lowerbound=1290954.268041, norm of subgrad 1136.714242 dualbound = 3592957.268041, lowerbound=1290954.268041, norm of subgrad 35.422364 stepsize= 1.000000
+dualbound = 3593003.505150, lowerbound=1287123.505150, norm of subgrad 1135.054847 dualbound = 3593003.505150, lowerbound=1287123.505150, norm of subgrad 35.668433 stepsize= 1.000000
+dualbound = 3593060.990903, lowerbound=1290355.990903, norm of subgrad 1136.477448 dualbound = 3593060.990903, lowerbound=1290355.990903, norm of subgrad 35.811810 stepsize= 1.000000
+dualbound = 3593133.268599, lowerbound=1285470.268599, norm of subgrad 1134.324587 dualbound = 3593133.268599, lowerbound=1285470.268599, norm of subgrad 35.976071 stepsize= 1.000000
+dualbound = 3593216.403469, lowerbound=1292078.403469, norm of subgrad 1137.236301 dualbound = 3593216.403469, lowerbound=1292078.403469, norm of subgrad 36.209596 stepsize= 1.000000
+dualbound = 3593254.316513, lowerbound=1284669.316513, norm of subgrad 1133.984266 dualbound = 3593254.316513, lowerbound=1284669.316513, norm of subgrad 35.901435 stepsize= 1.000000
+dualbound = 3593344.260969, lowerbound=1286970.260969, norm of subgrad 1135.018617 dualbound = 3593344.260969, lowerbound=1286970.260969, norm of subgrad 37.241703 stepsize= 1.000000
+dualbound = 3593401.693360, lowerbound=1284059.693360, norm of subgrad 1133.724258 dualbound = 3593401.693360, lowerbound=1284059.693360, norm of subgrad 36.447666 stepsize= 1.000000
+dualbound = 3593477.210268, lowerbound=1293472.210268, norm of subgrad 1137.853334 dualbound = 3593477.210268, lowerbound=1293472.210268, norm of subgrad 36.242474 stepsize= 1.000000
+dualbound = 3593543.926824, lowerbound=1287292.926824, norm of subgrad 1135.145333 dualbound = 3593543.926824, lowerbound=1287292.926824, norm of subgrad 36.451565 stepsize= 1.000000
+dualbound = 3593614.444117, lowerbound=1286906.444117, norm of subgrad 1134.980812 dualbound = 3593614.444117, lowerbound=1286906.444117, norm of subgrad 36.681294 stepsize= 1.000000
+dualbound = 3593686.785222, lowerbound=1291427.785222, norm of subgrad 1136.938338 dualbound = 3593686.785222, lowerbound=1291427.785222, norm of subgrad 35.683905 stepsize= 1.000000
+dualbound = 3593767.675074, lowerbound=1292013.675074, norm of subgrad 1137.210480 dualbound = 3593767.675074, lowerbound=1292013.675074, norm of subgrad 36.261410 stepsize= 1.000000
+dualbound = 3593845.463499, lowerbound=1285217.463499, norm of subgrad 1134.183611 dualbound = 3593845.463499, lowerbound=1285217.463499, norm of subgrad 35.111087 stepsize= 1.000000
+dualbound = 3593916.513307, lowerbound=1290352.513307, norm of subgrad 1136.481638 dualbound = 3593916.513307, lowerbound=1290352.513307, norm of subgrad 36.180793 stepsize= 1.000000
+dualbound = 3593957.498336, lowerbound=1291731.498336, norm of subgrad 1137.093003 dualbound = 3593957.498336, lowerbound=1291731.498336, norm of subgrad 35.916362 stepsize= 1.000000
+dualbound = 3594042.036736, lowerbound=1286554.036736, norm of subgrad 1134.807489 dualbound = 3594042.036736, lowerbound=1286554.036736, norm of subgrad 36.311684 stepsize= 1.000000
+dualbound = 3594116.263100, lowerbound=1291169.263100, norm of subgrad 1136.826840 dualbound = 3594116.263100, lowerbound=1291169.263100, norm of subgrad 35.780251 stepsize= 1.000000
+dualbound = 3594201.972822, lowerbound=1284874.972822, norm of subgrad 1134.047165 dualbound = 3594201.972822, lowerbound=1284874.972822, norm of subgrad 35.689070 stepsize= 1.000000
+dualbound = 3594243.928875, lowerbound=1287320.928875, norm of subgrad 1135.144453 dualbound = 3594243.928875, lowerbound=1287320.928875, norm of subgrad 35.692521 stepsize= 1.000000
+dualbound = 3594326.531793, lowerbound=1290357.531793, norm of subgrad 1136.480326 dualbound = 3594326.531793, lowerbound=1290357.531793, norm of subgrad 36.229862 stepsize= 1.000000
+dualbound = 3594376.682719, lowerbound=1285414.682719, norm of subgrad 1134.333145 dualbound = 3594376.682719, lowerbound=1285414.682719, norm of subgrad 36.703555 stepsize= 1.000000
+dualbound = 3594442.697895, lowerbound=1292994.697895, norm of subgrad 1137.655351 dualbound = 3594442.697895, lowerbound=1292994.697895, norm of subgrad 36.483081 stepsize= 1.000000
+dualbound = 3594521.058272, lowerbound=1288186.058272, norm of subgrad 1135.519290 dualbound = 3594521.058272, lowerbound=1288186.058272, norm of subgrad 36.005005 stepsize= 1.000000
+dualbound = 3594610.254671, lowerbound=1286827.254671, norm of subgrad 1134.900108 dualbound = 3594610.254671, lowerbound=1286827.254671, norm of subgrad 35.499245 stepsize= 1.000000
+dualbound = 3594674.616923, lowerbound=1287229.616923, norm of subgrad 1135.102470 dualbound = 3594674.616923, lowerbound=1287229.616923, norm of subgrad 35.949440 stepsize= 1.000000
+dualbound = 3594736.131882, lowerbound=1288388.131882, norm of subgrad 1135.621914 dualbound = 3594736.131882, lowerbound=1288388.131882, norm of subgrad 36.201035 stepsize= 1.000000
+dualbound = 3594795.255101, lowerbound=1285837.255101, norm of subgrad 1134.498680 dualbound = 3594795.255101, lowerbound=1285837.255101, norm of subgrad 36.181808 stepsize= 1.000000
+dualbound = 3594885.948244, lowerbound=1289794.948244, norm of subgrad 1136.231908 dualbound = 3594885.948244, lowerbound=1289794.948244, norm of subgrad 36.313815 stepsize= 1.000000
+dualbound = 3594926.049595, lowerbound=1284015.049595, norm of subgrad 1133.723092 dualbound = 3594926.049595, lowerbound=1284015.049595, norm of subgrad 36.784526 stepsize= 1.000000
+dualbound = 3595008.869052, lowerbound=1289984.869052, norm of subgrad 1136.325600 dualbound = 3595008.869052, lowerbound=1289984.869052, norm of subgrad 36.521493 stepsize= 1.000000
+dualbound = 3595078.276764, lowerbound=1291075.276764, norm of subgrad 1136.779344 dualbound = 3595078.276764, lowerbound=1291075.276764, norm of subgrad 35.516302 stepsize= 1.000000
+dualbound = 3595169.587773, lowerbound=1290373.587773, norm of subgrad 1136.457913 dualbound = 3595169.587773, lowerbound=1290373.587773, norm of subgrad 35.416253 stepsize= 1.000000
+dualbound = 3595199.032751, lowerbound=1286361.032751, norm of subgrad 1134.747123 dualbound = 3595199.032751, lowerbound=1286361.032751, norm of subgrad 36.324165 stepsize= 1.000000
+dualbound = 3595276.896457, lowerbound=1290766.896457, norm of subgrad 1136.687247 dualbound = 3595276.896457, lowerbound=1290766.896457, norm of subgrad 36.998158 stepsize= 1.000000
+dualbound = 3595332.850755, lowerbound=1288223.850755, norm of subgrad 1135.533729 dualbound = 3595332.850755, lowerbound=1288223.850755, norm of subgrad 35.622385 stepsize= 1.000000
+dualbound = 3595424.445001, lowerbound=1290401.445001, norm of subgrad 1136.486447 dualbound = 3595424.445001, lowerbound=1290401.445001, norm of subgrad 35.938757 stepsize= 1.000000
+dualbound = 3595499.624379, lowerbound=1286654.624379, norm of subgrad 1134.828456 dualbound = 3595499.624379, lowerbound=1286654.624379, norm of subgrad 35.442621 stepsize= 1.000000
+dualbound = 3595561.452124, lowerbound=1286520.452124, norm of subgrad 1134.779032 dualbound = 3595561.452124, lowerbound=1286520.452124, norm of subgrad 35.564417 stepsize= 1.000000
+dualbound = 3595622.429934, lowerbound=1285415.429934, norm of subgrad 1134.305704 dualbound = 3595622.429934, lowerbound=1285415.429934, norm of subgrad 35.985800 stepsize= 1.000000
+dualbound = 3595714.291056, lowerbound=1287895.291056, norm of subgrad 1135.387727 dualbound = 3595714.291056, lowerbound=1287895.291056, norm of subgrad 36.081313 stepsize= 1.000000
+dualbound = 3595775.505150, lowerbound=1285598.505150, norm of subgrad 1134.363921 dualbound = 3595775.505150, lowerbound=1285598.505150, norm of subgrad 35.273419 stepsize= 1.000000
+dualbound = 3595841.046040, lowerbound=1287341.046040, norm of subgrad 1135.144945 dualbound = 3595841.046040, lowerbound=1287341.046040, norm of subgrad 35.756690 stepsize= 1.000000
+dualbound = 3595911.024506, lowerbound=1286916.024506, norm of subgrad 1134.985473 dualbound = 3595911.024506, lowerbound=1286916.024506, norm of subgrad 36.687579 stepsize= 1.000000
+dualbound = 3595971.093262, lowerbound=1293937.093262, norm of subgrad 1138.045734 dualbound = 3595971.093262, lowerbound=1293937.093262, norm of subgrad 35.652051 stepsize= 1.000000
+dualbound = 3596052.845275, lowerbound=1290189.845275, norm of subgrad 1136.380590 dualbound = 3596052.845275, lowerbound=1290189.845275, norm of subgrad 35.394237 stepsize= 1.000000
+dualbound = 3596110.014877, lowerbound=1292461.014877, norm of subgrad 1137.414179 dualbound = 3596110.014877, lowerbound=1292461.014877, norm of subgrad 36.154801 stepsize= 1.000000
+dualbound = 3596182.535643, lowerbound=1290591.535643, norm of subgrad 1136.606588 dualbound = 3596182.535643, lowerbound=1290591.535643, norm of subgrad 36.817398 stepsize= 1.000000
+dualbound = 3596231.624228, lowerbound=1286159.624228, norm of subgrad 1134.642069 dualbound = 3596231.624228, lowerbound=1286159.624228, norm of subgrad 36.084465 stepsize= 1.000000
+dualbound = 3596309.841602, lowerbound=1288496.841602, norm of subgrad 1135.719966 dualbound = 3596309.841602, lowerbound=1288496.841602, norm of subgrad 37.963369 stepsize= 1.000000
+dualbound = 3596365.555536, lowerbound=1290838.555536, norm of subgrad 1136.685777 dualbound = 3596365.555536, lowerbound=1290838.555536, norm of subgrad 35.661098 stepsize= 1.000000
+dualbound = 3596467.165640, lowerbound=1288406.165640, norm of subgrad 1135.619728 dualbound = 3596467.165640, lowerbound=1288406.165640, norm of subgrad 36.436384 stepsize= 1.000000
+dualbound = 3596528.582065, lowerbound=1288997.582065, norm of subgrad 1135.887134 dualbound = 3596528.582065, lowerbound=1288997.582065, norm of subgrad 36.102859 stepsize= 1.000000
+dualbound = 3596600.369158, lowerbound=1288720.369158, norm of subgrad 1135.769065 dualbound = 3596600.369158, lowerbound=1288720.369158, norm of subgrad 36.370140 stepsize= 1.000000
+dualbound = 3596661.669502, lowerbound=1289818.669502, norm of subgrad 1136.258188 dualbound = 3596661.669502, lowerbound=1289818.669502, norm of subgrad 36.404675 stepsize= 1.000000
+dualbound = 3596735.538595, lowerbound=1288008.538595, norm of subgrad 1135.447726 dualbound = 3596735.538595, lowerbound=1288008.538595, norm of subgrad 36.150644 stepsize= 1.000000
+dualbound = 3596815.030294, lowerbound=1285301.030294, norm of subgrad 1134.240729 dualbound = 3596815.030294, lowerbound=1285301.030294, norm of subgrad 35.783959 stepsize= 1.000000
+dualbound = 3596877.985870, lowerbound=1287456.985870, norm of subgrad 1135.206142 dualbound = 3596877.985870, lowerbound=1287456.985870, norm of subgrad 36.041026 stepsize= 1.000000
+dualbound = 3596956.821552, lowerbound=1286531.821552, norm of subgrad 1134.789329 dualbound = 3596956.821552, lowerbound=1286531.821552, norm of subgrad 35.969927 stepsize= 1.000000
+dualbound = 3597030.511266, lowerbound=1288382.511266, norm of subgrad 1135.595223 dualbound = 3597030.511266, lowerbound=1288382.511266, norm of subgrad 35.604631 stepsize= 1.000000
+dualbound = 3597082.616488, lowerbound=1285719.616488, norm of subgrad 1134.430084 dualbound = 3597082.616488, lowerbound=1285719.616488, norm of subgrad 35.554257 stepsize= 1.000000
+dualbound = 3597163.267397, lowerbound=1290746.267397, norm of subgrad 1136.635063 dualbound = 3597163.267397, lowerbound=1290746.267397, norm of subgrad 35.688246 stepsize= 1.000000
+dualbound = 3597224.890332, lowerbound=1288090.890332, norm of subgrad 1135.511290 dualbound = 3597224.890332, lowerbound=1288090.890332, norm of subgrad 36.832363 stepsize= 1.000000
+dualbound = 3597279.649719, lowerbound=1292300.649719, norm of subgrad 1137.327855 dualbound = 3597279.649719, lowerbound=1292300.649719, norm of subgrad 35.619649 stepsize= 1.000000
+dualbound = 3597361.250613, lowerbound=1282574.250613, norm of subgrad 1133.048212 dualbound = 3597361.250613, lowerbound=1282574.250613, norm of subgrad 36.133100 stepsize= 1.000000
+dualbound = 3597433.997496, lowerbound=1291927.997496, norm of subgrad 1137.173688 dualbound = 3597433.997496, lowerbound=1291927.997496, norm of subgrad 36.176607 stepsize= 1.000000
+dualbound = 3597515.347461, lowerbound=1283258.347461, norm of subgrad 1133.324908 dualbound = 3597515.347461, lowerbound=1283258.347461, norm of subgrad 35.331996 stepsize= 1.000000
+dualbound = 3597580.866640, lowerbound=1287092.866640, norm of subgrad 1135.026813 dualbound = 3597580.866640, lowerbound=1287092.866640, norm of subgrad 35.475614 stepsize= 1.000000
+dualbound = 3597640.961723, lowerbound=1293110.961723, norm of subgrad 1137.704690 dualbound = 3597640.961723, lowerbound=1293110.961723, norm of subgrad 36.346872 stepsize= 1.000000
+dualbound = 3597692.965040, lowerbound=1286737.965040, norm of subgrad 1134.892491 dualbound = 3597692.965040, lowerbound=1286737.965040, norm of subgrad 35.986155 stepsize= 1.000000
+dualbound = 3597776.899430, lowerbound=1290750.899430, norm of subgrad 1136.637101 dualbound = 3597776.899430, lowerbound=1290750.899430, norm of subgrad 35.734219 stepsize= 1.000000
+dualbound = 3597867.673308, lowerbound=1292786.673308, norm of subgrad 1137.516010 dualbound = 3597867.673308, lowerbound=1292786.673308, norm of subgrad 35.309685 stepsize= 1.000000
+dualbound = 3597910.609794, lowerbound=1289690.609794, norm of subgrad 1136.180712 dualbound = 3597910.609794, lowerbound=1289690.609794, norm of subgrad 35.481495 stepsize= 1.000000
+dualbound = 3597967.895006, lowerbound=1285808.895006, norm of subgrad 1134.498521 dualbound = 3597967.895006, lowerbound=1285808.895006, norm of subgrad 36.541555 stepsize= 1.000000
+dualbound = 3598023.566429, lowerbound=1286393.566429, norm of subgrad 1134.739867 dualbound = 3598023.566429, lowerbound=1286393.566429, norm of subgrad 36.009324 stepsize= 1.000000
+dualbound = 3598113.823662, lowerbound=1292548.823662, norm of subgrad 1137.452779 dualbound = 3598113.823662, lowerbound=1292548.823662, norm of subgrad 36.609524 stepsize= 1.000000
+dualbound = 3598174.066453, lowerbound=1285308.066453, norm of subgrad 1134.223993 dualbound = 3598174.066453, lowerbound=1285308.066453, norm of subgrad 34.874673 stepsize= 1.000000
+dualbound = 3598273.790393, lowerbound=1287754.790393, norm of subgrad 1135.321448 dualbound = 3598273.790393, lowerbound=1287754.790393, norm of subgrad 36.051684 stepsize= 1.000000
+dualbound = 3598320.047903, lowerbound=1287056.047903, norm of subgrad 1135.019845 dualbound = 3598320.047903, lowerbound=1287056.047903, norm of subgrad 35.500106 stepsize= 1.000000
+dualbound = 3598417.313084, lowerbound=1293213.313084, norm of subgrad 1137.729455 dualbound = 3598417.313084, lowerbound=1293213.313084, norm of subgrad 36.225201 stepsize= 1.000000
+dualbound = 3598440.489292, lowerbound=1291370.489292, norm of subgrad 1136.962396 dualbound = 3598440.489292, lowerbound=1291370.489292, norm of subgrad 36.553744 stepsize= 1.000000
+dualbound = 3598521.399595, lowerbound=1287669.399595, norm of subgrad 1135.301458 dualbound = 3598521.399595, lowerbound=1287669.399595, norm of subgrad 36.344330 stepsize= 1.000000
+dualbound = 3598575.936459, lowerbound=1286459.936459, norm of subgrad 1134.767349 dualbound = 3598575.936459, lowerbound=1286459.936459, norm of subgrad 35.937959 stepsize= 1.000000
+dualbound = 3598693.285721, lowerbound=1284802.285721, norm of subgrad 1134.001890 dualbound = 3598693.285721, lowerbound=1284802.285721, norm of subgrad 35.712032 stepsize= 1.000000
+dualbound = 3598748.123787, lowerbound=1285073.123787, norm of subgrad 1134.145107 dualbound = 3598748.123787, lowerbound=1285073.123787, norm of subgrad 35.592669 stepsize= 1.000000
+dualbound = 3598827.294057, lowerbound=1286705.294057, norm of subgrad 1134.877656 dualbound = 3598827.294057, lowerbound=1286705.294057, norm of subgrad 36.347906 stepsize= 1.000000
+dualbound = 3598862.050131, lowerbound=1291376.050131, norm of subgrad 1136.919544 dualbound = 3598862.050131, lowerbound=1291376.050131, norm of subgrad 35.281101 stepsize= 1.000000
+dualbound = 3598950.912281, lowerbound=1287021.912281, norm of subgrad 1135.013177 dualbound = 3598950.912281, lowerbound=1287021.912281, norm of subgrad 36.357422 stepsize= 1.000000
+dualbound = 3599009.512891, lowerbound=1285993.512891, norm of subgrad 1134.545069 dualbound = 3599009.512891, lowerbound=1285993.512891, norm of subgrad 35.462665 stepsize= 1.000000
+dualbound = 3599107.924882, lowerbound=1288964.924882, norm of subgrad 1135.840185 dualbound = 3599107.924882, lowerbound=1288964.924882, norm of subgrad 35.586683 stepsize= 1.000000
+dualbound = 3599168.141551, lowerbound=1290539.141551, norm of subgrad 1136.521949 dualbound = 3599168.141551, lowerbound=1290539.141551, norm of subgrad 34.687414 stepsize= 1.000000
+dualbound = 3599256.227697, lowerbound=1284222.227697, norm of subgrad 1133.761098 dualbound = 3599256.227697, lowerbound=1284222.227697, norm of subgrad 35.778292 stepsize= 1.000000
+dualbound = 3599297.137605, lowerbound=1286830.137605, norm of subgrad 1134.936623 dualbound = 3599297.137605, lowerbound=1286830.137605, norm of subgrad 35.943148 stepsize= 1.000000
+dualbound = 3599361.545578, lowerbound=1286440.545578, norm of subgrad 1134.753518 dualbound = 3599361.545578, lowerbound=1286440.545578, norm of subgrad 35.908327 stepsize= 1.000000
+dualbound = 3599429.913663, lowerbound=1284458.913663, norm of subgrad 1133.886641 dualbound = 3599429.913663, lowerbound=1284458.913663, norm of subgrad 36.171371 stepsize= 1.000000
+dualbound = 3599494.176027, lowerbound=1292465.176027, norm of subgrad 1137.408535 dualbound = 3599494.176027, lowerbound=1292465.176027, norm of subgrad 36.017529 stepsize= 1.000000
+dualbound = 3599552.313926, lowerbound=1286492.313926, norm of subgrad 1134.804967 dualbound = 3599552.313926, lowerbound=1286492.313926, norm of subgrad 36.716997 stepsize= 1.000000
+dualbound = 3599642.293756, lowerbound=1295331.293756, norm of subgrad 1138.652403 dualbound = 3599642.293756, lowerbound=1295331.293756, norm of subgrad 35.888436 stepsize= 1.000000
+dualbound = 3599710.535849, lowerbound=1286833.535849, norm of subgrad 1134.909924 dualbound = 3599710.535849, lowerbound=1286833.535849, norm of subgrad 35.429396 stepsize= 1.000000
+dualbound = 3599769.952771, lowerbound=1294131.952771, norm of subgrad 1138.129146 dualbound = 3599769.952771, lowerbound=1294131.952771, norm of subgrad 35.572699 stepsize= 1.000000
+dualbound = 3599845.718956, lowerbound=1291186.718956, norm of subgrad 1136.838035 dualbound = 3599845.718956, lowerbound=1291186.718956, norm of subgrad 35.913315 stepsize= 1.000000
+dualbound = 3599938.240776, lowerbound=1287696.240776, norm of subgrad 1135.268356 dualbound = 3599938.240776, lowerbound=1287696.240776, norm of subgrad 35.078794 stepsize= 1.000000
+dualbound = 3600006.213404, lowerbound=1286622.213404, norm of subgrad 1134.820785 dualbound = 3600006.213404, lowerbound=1286622.213404, norm of subgrad 35.552393 stepsize= 1.000000
+dualbound = 3600049.846312, lowerbound=1290148.846312, norm of subgrad 1136.392910 dualbound = 3600049.846312, lowerbound=1290148.846312, norm of subgrad 35.827823 stepsize= 1.000000
+dualbound = 3600107.790219, lowerbound=1284934.790219, norm of subgrad 1134.118508 dualbound = 3600107.790219, lowerbound=1284934.790219, norm of subgrad 36.714356 stepsize= 1.000000
+dualbound = 3600177.906217, lowerbound=1290151.906217, norm of subgrad 1136.370057 dualbound = 3600177.906217, lowerbound=1290151.906217, norm of subgrad 35.427616 stepsize= 1.000000
+dualbound = 3600287.383434, lowerbound=1285362.383434, norm of subgrad 1134.261603 dualbound = 3600287.383434, lowerbound=1285362.383434, norm of subgrad 36.006627 stepsize= 1.000000
+dualbound = 3600347.088422, lowerbound=1293140.088422, norm of subgrad 1137.698153 dualbound = 3600347.088422, lowerbound=1293140.088422, norm of subgrad 35.731009 stepsize= 1.000000
+dualbound = 3600412.522796, lowerbound=1286077.522796, norm of subgrad 1134.575481 dualbound = 3600412.522796, lowerbound=1286077.522796, norm of subgrad 35.347339 stepsize= 1.000000
+dualbound = 3600483.784177, lowerbound=1290658.784177, norm of subgrad 1136.591300 dualbound = 3600483.784177, lowerbound=1290658.784177, norm of subgrad 35.387305 stepsize= 1.000000
+dualbound = 3600556.787096, lowerbound=1289471.787096, norm of subgrad 1136.076048 dualbound = 3600556.787096, lowerbound=1289471.787096, norm of subgrad 35.637100 stepsize= 1.000000
+dualbound = 3600638.806111, lowerbound=1286116.806111, norm of subgrad 1134.590590 dualbound = 3600638.806111, lowerbound=1286116.806111, norm of subgrad 35.510830 stepsize= 1.000000
+dualbound = 3600688.665631, lowerbound=1290685.665631, norm of subgrad 1136.602686 dualbound = 3600688.665631, lowerbound=1290685.665631, norm of subgrad 35.069353 stepsize= 1.000000
+dualbound = 3600769.017433, lowerbound=1289429.017433, norm of subgrad 1136.062946 dualbound = 3600769.017433, lowerbound=1289429.017433, norm of subgrad 35.921467 stepsize= 1.000000
+dualbound = 3600818.075165, lowerbound=1290336.075165, norm of subgrad 1136.458127 dualbound = 3600818.075165, lowerbound=1290336.075165, norm of subgrad 35.356156 stepsize= 1.000000
+dualbound = 3600889.561421, lowerbound=1292183.561421, norm of subgrad 1137.268465 dualbound = 3600889.561421, lowerbound=1292183.561421, norm of subgrad 35.601773 stepsize= 1.000000
+dualbound = 3600972.648721, lowerbound=1288223.648721, norm of subgrad 1135.532760 dualbound = 3600972.648721, lowerbound=1288223.648721, norm of subgrad 35.973425 stepsize= 1.000000
+dualbound = 3601027.771743, lowerbound=1287508.771743, norm of subgrad 1135.225428 dualbound = 3601027.771743, lowerbound=1287508.771743, norm of subgrad 35.820707 stepsize= 1.000000
+dualbound = 3601099.347003, lowerbound=1290629.347003, norm of subgrad 1136.593748 dualbound = 3601099.347003, lowerbound=1290629.347003, norm of subgrad 35.882799 stepsize= 1.000000
+dualbound = 3601180.597536, lowerbound=1287122.597536, norm of subgrad 1135.063257 dualbound = 3601180.597536, lowerbound=1287122.597536, norm of subgrad 36.431450 stepsize= 1.000000
+dualbound = 3601207.210613, lowerbound=1286002.210613, norm of subgrad 1134.558157 dualbound = 3601207.210613, lowerbound=1286002.210613, norm of subgrad 35.307408 stepsize= 1.000000
+dualbound = 3601311.574849, lowerbound=1288654.574849, norm of subgrad 1135.688591 dualbound = 3601311.574849, lowerbound=1288654.574849, norm of subgrad 35.190400 stepsize= 1.000000
+dualbound = 3601405.950640, lowerbound=1287332.950640, norm of subgrad 1135.121558 dualbound = 3601405.950640, lowerbound=1287332.950640, norm of subgrad 35.529928 stepsize= 1.000000
+dualbound = 3601458.849198, lowerbound=1287990.849198, norm of subgrad 1135.431570 dualbound = 3601458.849198, lowerbound=1287990.849198, norm of subgrad 35.593518 stepsize= 1.000000
+dualbound = 3601520.969912, lowerbound=1282872.969912, norm of subgrad 1133.198557 dualbound = 3601520.969912, lowerbound=1282872.969912, norm of subgrad 36.443391 stepsize= 1.000000
+dualbound = 3601569.842994, lowerbound=1290600.842994, norm of subgrad 1136.603204 dualbound = 3601569.842994, lowerbound=1290600.842994, norm of subgrad 36.261179 stepsize= 1.000000
+dualbound = 3601643.776466, lowerbound=1287751.776466, norm of subgrad 1135.350949 dualbound = 3601643.776466, lowerbound=1287751.776466, norm of subgrad 36.659698 stepsize= 1.000000
+dualbound = 3601735.333591, lowerbound=1290268.333591, norm of subgrad 1136.444162 dualbound = 3601735.333591, lowerbound=1290268.333591, norm of subgrad 36.449378 stepsize= 1.000000
+dualbound = 3601769.889157, lowerbound=1287906.889157, norm of subgrad 1135.415734 dualbound = 3601769.889157, lowerbound=1287906.889157, norm of subgrad 36.007715 stepsize= 1.000000
+dualbound = 3601874.039770, lowerbound=1290726.039770, norm of subgrad 1136.630564 dualbound = 3601874.039770, lowerbound=1290726.039770, norm of subgrad 36.154538 stepsize= 1.000000
+dualbound = 3601939.216277, lowerbound=1288406.216277, norm of subgrad 1135.632518 dualbound = 3601939.216277, lowerbound=1288406.216277, norm of subgrad 36.334233 stepsize= 1.000000
+dualbound = 3601999.387059, lowerbound=1291114.387059, norm of subgrad 1136.804463 dualbound = 3601999.387059, lowerbound=1291114.387059, norm of subgrad 35.639455 stepsize= 1.000000
+dualbound = 3602069.359052, lowerbound=1287697.359052, norm of subgrad 1135.308046 dualbound = 3602069.359052, lowerbound=1287697.359052, norm of subgrad 36.013497 stepsize= 1.000000
+dualbound = 3602134.852365, lowerbound=1290414.852365, norm of subgrad 1136.494546 dualbound = 3602134.852365, lowerbound=1290414.852365, norm of subgrad 35.643980 stepsize= 1.000000
+dualbound = 3602216.056948, lowerbound=1290710.056948, norm of subgrad 1136.591420 dualbound = 3602216.056948, lowerbound=1290710.056948, norm of subgrad 34.802365 stepsize= 1.000000
+dualbound = 3602311.253657, lowerbound=1287107.253657, norm of subgrad 1135.007601 dualbound = 3602311.253657, lowerbound=1287107.253657, norm of subgrad 35.074160 stepsize= 1.000000
+dualbound = 3602365.242460, lowerbound=1292426.242460, norm of subgrad 1137.366362 dualbound = 3602365.242460, lowerbound=1292426.242460, norm of subgrad 35.071196 stepsize= 1.000000
+dualbound = 3602429.948810, lowerbound=1290490.948810, norm of subgrad 1136.537702 dualbound = 3602429.948810, lowerbound=1290490.948810, norm of subgrad 35.940316 stepsize= 1.000000
+dualbound = 3602495.307057, lowerbound=1288443.307057, norm of subgrad 1135.614506 dualbound = 3602495.307057, lowerbound=1288443.307057, norm of subgrad 35.247103 stepsize= 1.000000
+dualbound = 3602581.775826, lowerbound=1288071.775826, norm of subgrad 1135.462362 dualbound = 3602581.775826, lowerbound=1288071.775826, norm of subgrad 35.909174 stepsize= 1.000000
+dualbound = 3602630.960196, lowerbound=1294056.960196, norm of subgrad 1138.101472 dualbound = 3602630.960196, lowerbound=1294056.960196, norm of subgrad 35.597533 stepsize= 1.000000
+dualbound = 3602691.392028, lowerbound=1287790.392028, norm of subgrad 1135.369716 dualbound = 3602691.392028, lowerbound=1287790.392028, norm of subgrad 36.529876 stepsize= 1.000000
+dualbound = 3602751.078862, lowerbound=1292471.078862, norm of subgrad 1137.451133 dualbound = 3602751.078862, lowerbound=1292471.078862, norm of subgrad 37.197941 stepsize= 1.000000
+dualbound = 3602825.048821, lowerbound=1288440.048821, norm of subgrad 1135.636847 dualbound = 3602825.048821, lowerbound=1288440.048821, norm of subgrad 36.124368 stepsize= 1.000000
+dualbound = 3602902.478167, lowerbound=1288852.478167, norm of subgrad 1135.825021 dualbound = 3602902.478167, lowerbound=1288852.478167, norm of subgrad 36.378968 stepsize= 1.000000
+dualbound = 3602958.653409, lowerbound=1288847.653409, norm of subgrad 1135.825978 dualbound = 3602958.653409, lowerbound=1288847.653409, norm of subgrad 36.182527 stepsize= 1.000000
+dualbound = 3603040.746509, lowerbound=1286556.746509, norm of subgrad 1134.794143 dualbound = 3603040.746509, lowerbound=1286556.746509, norm of subgrad 35.820289 stepsize= 1.000000
+dualbound = 3603100.763857, lowerbound=1290401.763857, norm of subgrad 1136.507265 dualbound = 3603100.763857, lowerbound=1290401.763857, norm of subgrad 36.152695 stepsize= 1.000000
+dualbound = 3603159.268569, lowerbound=1284839.268569, norm of subgrad 1134.069781 dualbound = 3603159.268569, lowerbound=1284839.268569, norm of subgrad 36.517184 stepsize= 1.000000
+dualbound = 3603230.126193, lowerbound=1290110.126194, norm of subgrad 1136.360034 dualbound = 3603230.126193, lowerbound=1290110.126194, norm of subgrad 35.705148 stepsize= 1.000000
+dualbound = 3603300.116463, lowerbound=1285497.116463, norm of subgrad 1134.350085 dualbound = 3603300.116463, lowerbound=1285497.116463, norm of subgrad 36.372933 stepsize= 1.000000
+dualbound = 3603363.034766, lowerbound=1286599.034766, norm of subgrad 1134.812335 dualbound = 3603363.034766, lowerbound=1286599.034766, norm of subgrad 35.537562 stepsize= 1.000000
+dualbound = 3603453.164750, lowerbound=1289558.164750, norm of subgrad 1136.109222 dualbound = 3603453.164750, lowerbound=1289558.164750, norm of subgrad 35.722962 stepsize= 1.000000
+dualbound = 3603525.671617, lowerbound=1289204.671617, norm of subgrad 1135.957601 dualbound = 3603525.671617, lowerbound=1289204.671617, norm of subgrad 35.602063 stepsize= 1.000000
+dualbound = 3603598.512203, lowerbound=1290893.512203, norm of subgrad 1136.703353 dualbound = 3603598.512203, lowerbound=1290893.512203, norm of subgrad 35.690903 stepsize= 1.000000
+dualbound = 3603669.015486, lowerbound=1286993.015486, norm of subgrad 1135.000447 dualbound = 3603669.015486, lowerbound=1286993.015486, norm of subgrad 36.104062 stepsize= 1.000000
+dualbound = 3603708.489774, lowerbound=1293566.489774, norm of subgrad 1137.909702 dualbound = 3603708.489774, lowerbound=1293566.489774, norm of subgrad 36.214283 stepsize= 1.000000
+dualbound = 3603780.444673, lowerbound=1285968.444673, norm of subgrad 1134.551649 dualbound = 3603780.444673, lowerbound=1285968.444673, norm of subgrad 36.207111 stepsize= 1.000000
+dualbound = 3603881.620468, lowerbound=1291567.620468, norm of subgrad 1136.998074 dualbound = 3603881.620468, lowerbound=1291567.620468, norm of subgrad 36.030207 stepsize= 1.000000
+dualbound = 3603932.153103, lowerbound=1284958.153103, norm of subgrad 1134.128808 dualbound = 3603932.153103, lowerbound=1284958.153103, norm of subgrad 36.613285 stepsize= 1.000000
+dualbound = 3603999.092138, lowerbound=1293926.092138, norm of subgrad 1138.063308 dualbound = 3603999.092138, lowerbound=1293926.092138, norm of subgrad 36.454616 stepsize= 1.000000
+dualbound = 3604077.266475, lowerbound=1289009.266475, norm of subgrad 1135.901962 dualbound = 3604077.266475, lowerbound=1289009.266475, norm of subgrad 36.635698 stepsize= 1.000000
+dualbound = 3604128.180228, lowerbound=1288508.180228, norm of subgrad 1135.675649 dualbound = 3604128.180228, lowerbound=1288508.180228, norm of subgrad 36.082042 stepsize= 1.000000
+dualbound = 3604218.421573, lowerbound=1287609.421573, norm of subgrad 1135.271959 dualbound = 3604218.421573, lowerbound=1287609.421573, norm of subgrad 36.376384 stepsize= 1.000000
+dualbound = 3604275.138037, lowerbound=1290626.138037, norm of subgrad 1136.596735 dualbound = 3604275.138037, lowerbound=1290626.138037, norm of subgrad 35.815031 stepsize= 1.000000
+dualbound = 3604358.264818, lowerbound=1285894.264818, norm of subgrad 1134.508821 dualbound = 3604358.264818, lowerbound=1285894.264818, norm of subgrad 36.043401 stepsize= 1.000000
+dualbound = 3604412.931574, lowerbound=1290581.931574, norm of subgrad 1136.599284 dualbound = 3604412.931574, lowerbound=1290581.931574, norm of subgrad 36.478305 stepsize= 1.000000
+dualbound = 3604469.248709, lowerbound=1283509.248709, norm of subgrad 1133.448388 dualbound = 3604469.248709, lowerbound=1283509.248709, norm of subgrad 35.388093 stepsize= 1.000000
+dualbound = 3604584.989357, lowerbound=1287530.989357, norm of subgrad 1135.221560 dualbound = 3604584.989357, lowerbound=1287530.989357, norm of subgrad 36.231763 stepsize= 1.000000
+dualbound = 3604630.750385, lowerbound=1285628.750385, norm of subgrad 1134.397087 dualbound = 3604630.750385, lowerbound=1285628.750385, norm of subgrad 35.689789 stepsize= 1.000000
+dualbound = 3604701.883403, lowerbound=1296266.883403, norm of subgrad 1139.052186 dualbound = 3604701.883403, lowerbound=1296266.883403, norm of subgrad 35.272270 stepsize= 1.000000
+dualbound = 3604768.712279, lowerbound=1286139.712279, norm of subgrad 1134.640786 dualbound = 3604768.712279, lowerbound=1286139.712279, norm of subgrad 36.562671 stepsize= 1.000000
+dualbound = 3604806.166427, lowerbound=1291121.166427, norm of subgrad 1136.831635 dualbound = 3604806.166427, lowerbound=1291121.166427, norm of subgrad 36.089530 stepsize= 1.000000
+dualbound = 3604879.999493, lowerbound=1285306.999493, norm of subgrad 1134.276862 dualbound = 3604879.999493, lowerbound=1285306.999493, norm of subgrad 36.753681 stepsize= 1.000000
+dualbound = 3604944.761584, lowerbound=1292904.761584, norm of subgrad 1137.591210 dualbound = 3604944.761584, lowerbound=1292904.761584, norm of subgrad 35.689804 stepsize= 1.000000
+dualbound = 3605063.293122, lowerbound=1286920.293122, norm of subgrad 1134.956957 dualbound = 3605063.293122, lowerbound=1286920.293122, norm of subgrad 36.407850 stepsize= 1.000000
+dualbound = 3605104.113972, lowerbound=1292393.113972, norm of subgrad 1137.375538 dualbound = 3605104.113972, lowerbound=1292393.113972, norm of subgrad 35.648574 stepsize= 1.000000
+dualbound = 3605178.022016, lowerbound=1285647.022016, norm of subgrad 1134.373405 dualbound = 3605178.022016, lowerbound=1285647.022016, norm of subgrad 35.070045 stepsize= 1.000000
+dualbound = 3605261.106225, lowerbound=1289609.106225, norm of subgrad 1136.165088 dualbound = 3605261.106225, lowerbound=1289609.106225, norm of subgrad 36.675390 stepsize= 1.000000
+dualbound = 3605276.064525, lowerbound=1287313.064525, norm of subgrad 1135.163893 dualbound = 3605276.064525, lowerbound=1287313.064525, norm of subgrad 36.041064 stepsize= 1.000000
+dualbound = 3605360.396139, lowerbound=1294059.396139, norm of subgrad 1138.116600 dualbound = 3605360.396139, lowerbound=1294059.396139, norm of subgrad 36.528504 stepsize= 1.000000
+dualbound = 3605460.920368, lowerbound=1284767.920368, norm of subgrad 1134.002610 dualbound = 3605460.920368, lowerbound=1284767.920368, norm of subgrad 35.979497 stepsize= 1.000000
+dualbound = 3605524.122100, lowerbound=1291816.122100, norm of subgrad 1137.128015 dualbound = 3605524.122100, lowerbound=1291816.122100, norm of subgrad 36.155245 stepsize= 1.000000
+dualbound = 3605572.797513, lowerbound=1285665.797513, norm of subgrad 1134.438098 dualbound = 3605572.797513, lowerbound=1285665.797513, norm of subgrad 36.505827 stepsize= 1.000000
+dualbound = 3605652.988370, lowerbound=1291281.988370, norm of subgrad 1136.914679 dualbound = 3605652.988370, lowerbound=1291281.988370, norm of subgrad 37.056590 stepsize= 1.000000
+dualbound = 3605710.337665, lowerbound=1291279.337665, norm of subgrad 1136.870414 dualbound = 3605710.337665, lowerbound=1291279.337665, norm of subgrad 35.388547 stepsize= 1.000000
+dualbound = 3605816.443436, lowerbound=1289101.443436, norm of subgrad 1135.905561 dualbound = 3605816.443436, lowerbound=1289101.443436, norm of subgrad 35.862317 stepsize= 1.000000
+dualbound = 3605861.923376, lowerbound=1287329.923376, norm of subgrad 1135.144010 dualbound = 3605861.923376, lowerbound=1287329.923376, norm of subgrad 35.601685 stepsize= 1.000000
+dualbound = 3605945.435187, lowerbound=1284519.435187, norm of subgrad 1133.886430 dualbound = 3605945.435187, lowerbound=1284519.435187, norm of subgrad 35.531842 stepsize= 1.000000
+dualbound = 3606008.984299, lowerbound=1290241.984299, norm of subgrad 1136.416730 dualbound = 3606008.984299, lowerbound=1290241.984299, norm of subgrad 35.560499 stepsize= 1.000000
+dualbound = 3606094.672662, lowerbound=1289610.672662, norm of subgrad 1136.129250 dualbound = 3606094.672662, lowerbound=1289610.672662, norm of subgrad 35.562457 stepsize= 1.000000
+dualbound = 3606144.774001, lowerbound=1290909.774001, norm of subgrad 1136.697310 dualbound = 3606144.774001, lowerbound=1290909.774001, norm of subgrad 34.944260 stepsize= 1.000000
+dualbound = 3606223.241566, lowerbound=1289152.241566, norm of subgrad 1135.940686 dualbound = 3606223.241566, lowerbound=1289152.241566, norm of subgrad 35.881298 stepsize= 1.000000
+dualbound = 3606268.779216, lowerbound=1289423.779216, norm of subgrad 1136.069883 dualbound = 3606268.779216, lowerbound=1289423.779216, norm of subgrad 35.728667 stepsize= 1.000000
+dualbound = 3606334.878781, lowerbound=1289262.878781, norm of subgrad 1135.970897 dualbound = 3606334.878781, lowerbound=1289262.878781, norm of subgrad 35.115517 stepsize= 1.000000
+dualbound = 3606434.794259, lowerbound=1286311.794259, norm of subgrad 1134.672549 dualbound = 3606434.794259, lowerbound=1286311.794259, norm of subgrad 35.635873 stepsize= 1.000000
+dualbound = 3606493.985320, lowerbound=1293437.985320, norm of subgrad 1137.823354 dualbound = 3606493.985320, lowerbound=1293437.985320, norm of subgrad 35.541399 stepsize= 1.000000
+dualbound = 3606539.912790, lowerbound=1285370.912790, norm of subgrad 1134.289607 dualbound = 3606539.912790, lowerbound=1285370.912790, norm of subgrad 35.887706 stepsize= 1.000000
+dualbound = 3606616.482076, lowerbound=1290224.482076, norm of subgrad 1136.409909 dualbound = 3606616.482076, lowerbound=1290224.482076, norm of subgrad 35.771068 stepsize= 1.000000
+dualbound = 3606698.251362, lowerbound=1284452.251362, norm of subgrad 1133.888994 dualbound = 3606698.251362, lowerbound=1284452.251362, norm of subgrad 36.520806 stepsize= 1.000000
+dualbound = 3606723.566772, lowerbound=1292961.566772, norm of subgrad 1137.631121 dualbound = 3606723.566772, lowerbound=1292961.566772, norm of subgrad 35.613416 stepsize= 1.000000
+dualbound = 3606818.113131, lowerbound=1287695.113131, norm of subgrad 1135.321590 dualbound = 3606818.113131, lowerbound=1287695.113131, norm of subgrad 36.804162 stepsize= 1.000000
+dualbound = 3606884.210061, lowerbound=1292931.210061, norm of subgrad 1137.650302 dualbound = 3606884.210061, lowerbound=1292931.210061, norm of subgrad 37.190011 stepsize= 1.000000
+dualbound = 3606916.252958, lowerbound=1287063.252958, norm of subgrad 1135.079844 dualbound = 3606916.252958, lowerbound=1287063.252958, norm of subgrad 37.081571 stepsize= 1.000000
+dualbound = 3607014.750994, lowerbound=1288987.750994, norm of subgrad 1135.892491 dualbound = 3607014.750994, lowerbound=1288987.750994, norm of subgrad 36.912031 stepsize= 1.000000
+dualbound = 3607098.887559, lowerbound=1292093.887559, norm of subgrad 1137.228600 dualbound = 3607098.887559, lowerbound=1292093.887559, norm of subgrad 35.765019 stepsize= 1.000000
+dualbound = 3607182.372973, lowerbound=1290298.372973, norm of subgrad 1136.438020 dualbound = 3607182.372973, lowerbound=1290298.372973, norm of subgrad 35.727936 stepsize= 1.000000
+dualbound = 3607235.628206, lowerbound=1289103.628206, norm of subgrad 1135.930292 dualbound = 3607235.628206, lowerbound=1289103.628206, norm of subgrad 35.878339 stepsize= 1.000000
+dualbound = 3607315.792043, lowerbound=1291854.792043, norm of subgrad 1137.125671 dualbound = 3607315.792043, lowerbound=1291854.792043, norm of subgrad 35.779377 stepsize= 1.000000
+dualbound = 3607365.771808, lowerbound=1285187.771808, norm of subgrad 1134.201381 dualbound = 3607365.771808, lowerbound=1285187.771808, norm of subgrad 35.706859 stepsize= 1.000000
+dualbound = 3607448.534782, lowerbound=1291344.534782, norm of subgrad 1136.889412 dualbound = 3607448.534782, lowerbound=1291344.534782, norm of subgrad 35.436746 stepsize= 1.000000
+dualbound = 3607512.002957, lowerbound=1284641.002957, norm of subgrad 1133.939153 dualbound = 3607512.002957, lowerbound=1284641.002957, norm of subgrad 35.220281 stepsize= 1.000000
+dualbound = 3607588.393256, lowerbound=1294257.393256, norm of subgrad 1138.194357 dualbound = 3607588.393256, lowerbound=1294257.393256, norm of subgrad 36.130185 stepsize= 1.000000
+dualbound = 3607627.658509, lowerbound=1282410.658509, norm of subgrad 1132.997201 dualbound = 3607627.658509, lowerbound=1282410.658509, norm of subgrad 36.211397 stepsize= 1.000000
+dualbound = 3607719.557485, lowerbound=1291742.557485, norm of subgrad 1137.065767 dualbound = 3607719.557485, lowerbound=1291742.557485, norm of subgrad 35.607569 stepsize= 1.000000
+dualbound = 3607804.596915, lowerbound=1288177.596916, norm of subgrad 1135.493988 dualbound = 3607804.596915, lowerbound=1288177.596916, norm of subgrad 35.412419 stepsize= 1.000000
+dualbound = 3607853.230531, lowerbound=1291512.230531, norm of subgrad 1137.007137 dualbound = 3607853.230531, lowerbound=1291512.230531, norm of subgrad 36.354279 stepsize= 1.000000
+dualbound = 3607915.794045, lowerbound=1285125.794045, norm of subgrad 1134.185961 dualbound = 3607915.794045, lowerbound=1285125.794045, norm of subgrad 36.256910 stepsize= 1.000000
+dualbound = 3607989.016483, lowerbound=1292542.016483, norm of subgrad 1137.434841 dualbound = 3607989.016483, lowerbound=1292542.016483, norm of subgrad 35.905744 stepsize= 1.000000
+dualbound = 3608055.909502, lowerbound=1286448.909502, norm of subgrad 1134.775268 dualbound = 3608055.909502, lowerbound=1286448.909502, norm of subgrad 36.508807 stepsize= 1.000000
+dualbound = 3608141.775860, lowerbound=1290161.775860, norm of subgrad 1136.374840 dualbound = 3608141.775860, lowerbound=1290161.775860, norm of subgrad 35.663235 stepsize= 1.000000
+dualbound = 3608206.723006, lowerbound=1289803.723006, norm of subgrad 1136.234009 dualbound = 3608206.723006, lowerbound=1289803.723006, norm of subgrad 35.901910 stepsize= 1.000000
+dualbound = 3608259.922059, lowerbound=1292032.922059, norm of subgrad 1137.242244 dualbound = 3608259.922059, lowerbound=1292032.922059, norm of subgrad 36.608729 stepsize= 1.000000
+dualbound = 3608311.048856, lowerbound=1288331.048856, norm of subgrad 1135.631564 dualbound = 3608311.048856, lowerbound=1288331.048856, norm of subgrad 37.136596 stepsize= 1.000000
+dualbound = 3608390.208837, lowerbound=1291478.208837, norm of subgrad 1136.979423 dualbound = 3608390.208837, lowerbound=1291478.208837, norm of subgrad 36.375266 stepsize= 1.000000
+dualbound = 3608438.407848, lowerbound=1292124.407848, norm of subgrad 1137.263122 dualbound = 3608438.407848, lowerbound=1292124.407848, norm of subgrad 35.933258 stepsize= 1.000000
+dualbound = 3608536.244565, lowerbound=1295048.244565, norm of subgrad 1138.543036 dualbound = 3608536.244565, lowerbound=1295048.244565, norm of subgrad 36.466926 stepsize= 1.000000
+dualbound = 3608611.783574, lowerbound=1287698.783574, norm of subgrad 1135.314399 dualbound = 3608611.783574, lowerbound=1287698.783574, norm of subgrad 36.270360 stepsize= 1.000000
+dualbound = 3608665.463607, lowerbound=1290567.463607, norm of subgrad 1136.589400 dualbound = 3608665.463607, lowerbound=1290567.463607, norm of subgrad 36.354918 stepsize= 1.000000
+dualbound = 3608726.228822, lowerbound=1286898.228822, norm of subgrad 1134.944152 dualbound = 3608726.228822, lowerbound=1286898.228822, norm of subgrad 35.507256 stepsize= 1.000000
+dualbound = 3608823.311067, lowerbound=1292958.311067, norm of subgrad 1137.606395 dualbound = 3608823.311067, lowerbound=1292958.311067, norm of subgrad 35.875928 stepsize= 1.000000
+dualbound = 3608885.453231, lowerbound=1284703.453231, norm of subgrad 1133.989618 dualbound = 3608885.453231, lowerbound=1284703.453231, norm of subgrad 35.932467 stepsize= 1.000000
+dualbound = 3608938.105858, lowerbound=1294772.105858, norm of subgrad 1138.430545 dualbound = 3608938.105858, lowerbound=1294772.105858, norm of subgrad 36.119975 stepsize= 1.000000
+dualbound = 3609006.784737, lowerbound=1287762.784737, norm of subgrad 1135.340383 dualbound = 3609006.784737, lowerbound=1287762.784737, norm of subgrad 36.106494 stepsize= 1.000000
+dualbound = 3609091.582728, lowerbound=1296648.582728, norm of subgrad 1139.238159 dualbound = 3609091.582728, lowerbound=1296648.582728, norm of subgrad 36.052711 stepsize= 1.000000
+dualbound = 3609141.988800, lowerbound=1284681.988800, norm of subgrad 1133.989413 dualbound = 3609141.988800, lowerbound=1284681.988800, norm of subgrad 36.061144 stepsize= 1.000000
+dualbound = 3609220.799668, lowerbound=1292408.799668, norm of subgrad 1137.367926 dualbound = 3609220.799668, lowerbound=1292408.799668, norm of subgrad 35.718495 stepsize= 1.000000
+dualbound = 3609279.541866, lowerbound=1286707.541866, norm of subgrad 1134.878206 dualbound = 3609279.541866, lowerbound=1286707.541866, norm of subgrad 36.051938 stepsize= 1.000000
+dualbound = 3609351.707281, lowerbound=1286581.707281, norm of subgrad 1134.836864 dualbound = 3609351.707281, lowerbound=1286581.707281, norm of subgrad 36.676497 stepsize= 1.000000
+dualbound = 3609401.818834, lowerbound=1284834.818834, norm of subgrad 1134.047979 dualbound = 3609401.818834, lowerbound=1284834.818834, norm of subgrad 35.778647 stepsize= 1.000000
+dualbound = 3609500.534932, lowerbound=1291387.534932, norm of subgrad 1136.914480 dualbound = 3609500.534932, lowerbound=1291387.534932, norm of subgrad 35.856884 stepsize= 1.000000
+dualbound = 3609568.704372, lowerbound=1288286.704372, norm of subgrad 1135.579898 dualbound = 3609568.704372, lowerbound=1288286.704372, norm of subgrad 36.375396 stepsize= 1.000000
+dualbound = 3609602.723820, lowerbound=1290290.723820, norm of subgrad 1136.467652 dualbound = 3609602.723820, lowerbound=1290290.723820, norm of subgrad 36.083507 stepsize= 1.000000
+dualbound = 3609701.961275, lowerbound=1289098.961275, norm of subgrad 1135.898306 dualbound = 3609701.961275, lowerbound=1289098.961275, norm of subgrad 35.570176 stepsize= 1.000000
+dualbound = 3609782.912009, lowerbound=1288950.912009, norm of subgrad 1135.867911 dualbound = 3609782.912009, lowerbound=1288950.912009, norm of subgrad 36.413606 stepsize= 1.000000
+dualbound = 3609821.337357, lowerbound=1288096.337357, norm of subgrad 1135.489911 dualbound = 3609821.337357, lowerbound=1288096.337357, norm of subgrad 35.769056 stepsize= 1.000000
+dualbound = 3609893.919216, lowerbound=1288543.919216, norm of subgrad 1135.691824 dualbound = 3609893.919216, lowerbound=1288543.919216, norm of subgrad 36.394805 stepsize= 1.000000
+dualbound = 3609963.773602, lowerbound=1285955.773602, norm of subgrad 1134.544743 dualbound = 3609963.773602, lowerbound=1285955.773602, norm of subgrad 36.136607 stepsize= 1.000000
+dualbound = 3610066.925383, lowerbound=1291075.925383, norm of subgrad 1136.795463 dualbound = 3610066.925383, lowerbound=1291075.925383, norm of subgrad 36.484953 stepsize= 1.000000
+dualbound = 3610100.904603, lowerbound=1288133.904603, norm of subgrad 1135.534193 dualbound = 3610100.904603, lowerbound=1288133.904603, norm of subgrad 36.578398 stepsize= 1.000000
+dualbound = 3610181.277263, lowerbound=1291446.277263, norm of subgrad 1136.978134 dualbound = 3610181.277263, lowerbound=1291446.277263, norm of subgrad 36.788214 stepsize= 1.000000
+dualbound = 3610234.258696, lowerbound=1296010.258696, norm of subgrad 1138.968067 dualbound = 3610234.258696, lowerbound=1296010.258696, norm of subgrad 35.930230 stepsize= 1.000000
+dualbound = 3610327.702382, lowerbound=1289206.702382, norm of subgrad 1135.977422 dualbound = 3610327.702382, lowerbound=1289206.702382, norm of subgrad 36.488953 stepsize= 1.000000
+dualbound = 3610386.364014, lowerbound=1287017.364014, norm of subgrad 1135.032318 dualbound = 3610386.364014, lowerbound=1287017.364014, norm of subgrad 36.601388 stepsize= 1.000000
+dualbound = 3610446.296347, lowerbound=1293271.296347, norm of subgrad 1137.789654 dualbound = 3610446.296347, lowerbound=1293271.296347, norm of subgrad 36.795820 stepsize= 1.000000
+dualbound = 3610497.690121, lowerbound=1286725.690121, norm of subgrad 1134.885320 dualbound = 3610497.690121, lowerbound=1286725.690121, norm of subgrad 35.922051 stepsize= 1.000000
+dualbound = 3610599.550846, lowerbound=1291453.550846, norm of subgrad 1136.951429 dualbound = 3610599.550846, lowerbound=1291453.550846, norm of subgrad 36.150529 stepsize= 1.000000
+dualbound = 3610651.633222, lowerbound=1291598.633222, norm of subgrad 1137.049970 dualbound = 3610651.633222, lowerbound=1291598.633222, norm of subgrad 36.552461 stepsize= 1.000000
+dualbound = 3610713.229751, lowerbound=1291971.229751, norm of subgrad 1137.161479 dualbound = 3610713.229751, lowerbound=1291971.229751, norm of subgrad 35.022800 stepsize= 1.000000
+dualbound = 3610803.704621, lowerbound=1291745.704621, norm of subgrad 1137.069349 dualbound = 3610803.704621, lowerbound=1291745.704621, norm of subgrad 35.657746 stepsize= 1.000000
+dualbound = 3610851.442862, lowerbound=1287522.442862, norm of subgrad 1135.230128 dualbound = 3610851.442862, lowerbound=1287522.442862, norm of subgrad 35.675457 stepsize= 1.000000
+dualbound = 3610928.430585, lowerbound=1290416.430585, norm of subgrad 1136.491720 dualbound = 3610928.430585, lowerbound=1290416.430585, norm of subgrad 35.692965 stepsize= 1.000000
+dualbound = 3611020.590959, lowerbound=1288099.590959, norm of subgrad 1135.449511 dualbound = 3611020.590959, lowerbound=1288099.590959, norm of subgrad 35.187503 stepsize= 1.000000
+dualbound = 3611084.993239, lowerbound=1286116.993239, norm of subgrad 1134.609181 dualbound = 3611084.993239, lowerbound=1286116.993239, norm of subgrad 35.852507 stepsize= 1.000000
+dualbound = 3611135.409264, lowerbound=1292886.409264, norm of subgrad 1137.568200 dualbound = 3611135.409264, lowerbound=1292886.409264, norm of subgrad 35.005943 stepsize= 1.000000
+dualbound = 3611211.383352, lowerbound=1286175.383352, norm of subgrad 1134.669724 dualbound = 3611211.383352, lowerbound=1286175.383352, norm of subgrad 37.094125 stepsize= 1.000000
+dualbound = 3611255.161291, lowerbound=1289883.161291, norm of subgrad 1136.293607 dualbound = 3611255.161291, lowerbound=1289883.161291, norm of subgrad 36.383759 stepsize= 1.000000
+dualbound = 3611320.766285, lowerbound=1289953.766285, norm of subgrad 1136.302234 dualbound = 3611320.766285, lowerbound=1289953.766285, norm of subgrad 35.980620 stepsize= 1.000000
+dualbound = 3611444.719832, lowerbound=1287400.719832, norm of subgrad 1135.196776 dualbound = 3611444.719832, lowerbound=1287400.719832, norm of subgrad 37.349077 stepsize= 1.000000
+dualbound = 3611449.198134, lowerbound=1288479.198134, norm of subgrad 1135.666411 dualbound = 3611449.198134, lowerbound=1288479.198134, norm of subgrad 35.545440 stepsize= 1.000000
+dualbound = 3611563.727337, lowerbound=1290844.727337, norm of subgrad 1136.684973 dualbound = 3611563.727337, lowerbound=1290844.727337, norm of subgrad 36.366595 stepsize= 1.000000
+dualbound = 3611638.439345, lowerbound=1286465.439345, norm of subgrad 1134.780349 dualbound = 3611638.439345, lowerbound=1286465.439345, norm of subgrad 36.547394 stepsize= 1.000000
+dualbound = 3611684.803722, lowerbound=1289256.803722, norm of subgrad 1135.980107 dualbound = 3611684.803722, lowerbound=1289256.803722, norm of subgrad 35.218807 stepsize= 1.000000
+dualbound = 3611771.297238, lowerbound=1287348.297239, norm of subgrad 1135.162234 dualbound = 3611771.297238, lowerbound=1287348.297239, norm of subgrad 36.489636 stepsize= 1.000000
+dualbound = 3611832.384775, lowerbound=1290938.384775, norm of subgrad 1136.732328 dualbound = 3611832.384775, lowerbound=1290938.384775, norm of subgrad 35.820211 stepsize= 1.000000
+dualbound = 3611895.258453, lowerbound=1288886.258453, norm of subgrad 1135.839891 dualbound = 3611895.258453, lowerbound=1288886.258453, norm of subgrad 36.178359 stepsize= 1.000000
+dualbound = 3611973.875467, lowerbound=1288038.875467, norm of subgrad 1135.436425 dualbound = 3611973.875467, lowerbound=1288038.875467, norm of subgrad 35.434687 stepsize= 1.000000
+dualbound = 3612044.429201, lowerbound=1291282.429201, norm of subgrad 1136.887166 dualbound = 3612044.429201, lowerbound=1291282.429201, norm of subgrad 36.063191 stepsize= 1.000000
+dualbound = 3612101.473170, lowerbound=1289850.473170, norm of subgrad 1136.252381 dualbound = 3612101.473170, lowerbound=1289850.473170, norm of subgrad 35.721758 stepsize= 1.000000
+dualbound = 3612181.944503, lowerbound=1284671.944504, norm of subgrad 1133.984543 dualbound = 3612181.944503, lowerbound=1284671.944504, norm of subgrad 36.461916 stepsize= 1.000000
+dualbound = 3612239.238950, lowerbound=1293940.238950, norm of subgrad 1138.068644 dualbound = 3612239.238950, lowerbound=1293940.238950, norm of subgrad 36.294551 stepsize= 1.000000
+dualbound = 3612308.274703, lowerbound=1286545.274703, norm of subgrad 1134.797460 dualbound = 3612308.274703, lowerbound=1286545.274703, norm of subgrad 35.903144 stepsize= 1.000000
+dualbound = 3612391.162250, lowerbound=1295148.162250, norm of subgrad 1138.566275 dualbound = 3612391.162250, lowerbound=1295148.162250, norm of subgrad 35.607409 stepsize= 1.000000
+dualbound = 3612471.255154, lowerbound=1286738.255154, norm of subgrad 1134.855169 dualbound = 3612471.255154, lowerbound=1286738.255154, norm of subgrad 35.186544 stepsize= 1.000000
+dualbound = 3612538.939460, lowerbound=1291193.939460, norm of subgrad 1136.839012 dualbound = 3612538.939460, lowerbound=1291193.939460, norm of subgrad 35.730719 stepsize= 1.000000
+dualbound = 3612579.723376, lowerbound=1288656.723376, norm of subgrad 1135.745448 dualbound = 3612579.723376, lowerbound=1288656.723376, norm of subgrad 36.080243 stepsize= 1.000000
+dualbound = 3612625.074924, lowerbound=1294231.074924, norm of subgrad 1138.182356 dualbound = 3612625.074924, lowerbound=1294231.074924, norm of subgrad 35.684052 stepsize= 1.000000
+dualbound = 3612728.636240, lowerbound=1287561.636240, norm of subgrad 1135.276458 dualbound = 3612728.636240, lowerbound=1287561.636240, norm of subgrad 37.343826 stepsize= 1.000000
+dualbound = 3612769.386276, lowerbound=1294503.386276, norm of subgrad 1138.335797 dualbound = 3612769.386276, lowerbound=1294503.386276, norm of subgrad 36.684466 stepsize= 1.000000
+dualbound = 3612838.716764, lowerbound=1288948.716764, norm of subgrad 1135.879711 dualbound = 3612838.716764, lowerbound=1288948.716764, norm of subgrad 36.651473 stepsize= 1.000000
+dualbound = 3612887.339689, lowerbound=1291297.339689, norm of subgrad 1136.905598 dualbound = 3612887.339689, lowerbound=1291297.339689, norm of subgrad 36.133405 stepsize= 1.000000
+dualbound = 3612994.942858, lowerbound=1282396.942858, norm of subgrad 1132.951430 dualbound = 3612994.942858, lowerbound=1282396.942858, norm of subgrad 35.911045 stepsize= 1.000000
+dualbound = 3613065.805764, lowerbound=1292071.805764, norm of subgrad 1137.246150 dualbound = 3613065.805764, lowerbound=1292071.805764, norm of subgrad 36.439853 stepsize= 1.000000
+dualbound = 3613101.745622, lowerbound=1285705.745622, norm of subgrad 1134.443805 dualbound = 3613101.745622, lowerbound=1285705.745622, norm of subgrad 35.957473 stepsize= 1.000000
+dualbound = 3613206.862761, lowerbound=1292078.862761, norm of subgrad 1137.225951 dualbound = 3613206.862761, lowerbound=1292078.862761, norm of subgrad 36.181724 stepsize= 1.000000
+dualbound = 3613245.891561, lowerbound=1289337.891561, norm of subgrad 1136.042205 dualbound = 3613245.891561, lowerbound=1289337.891561, norm of subgrad 35.958710 stepsize= 1.000000
+dualbound = 3613328.093197, lowerbound=1295218.093197, norm of subgrad 1138.603572 dualbound = 3613328.093197, lowerbound=1295218.093197, norm of subgrad 35.807843 stepsize= 1.000000
+dualbound = 3613400.805915, lowerbound=1290232.805915, norm of subgrad 1136.396852 dualbound = 3613400.805915, lowerbound=1290232.805915, norm of subgrad 35.181141 stepsize= 1.000000
+dualbound = 3613505.222816, lowerbound=1286729.222816, norm of subgrad 1134.882471 dualbound = 3613505.222816, lowerbound=1286729.222816, norm of subgrad 36.515981 stepsize= 1.000000
+dualbound = 3613512.995381, lowerbound=1289178.995381, norm of subgrad 1135.957744 dualbound = 3613512.995381, lowerbound=1289178.995381, norm of subgrad 35.053852 stepsize= 1.000000
+dualbound = 3613610.691438, lowerbound=1291864.691438, norm of subgrad 1137.181468 dualbound = 3613610.691438, lowerbound=1291864.691438, norm of subgrad 37.612446 stepsize= 1.000000
+dualbound = 3613652.033307, lowerbound=1289919.033307, norm of subgrad 1136.284750 dualbound = 3613652.033307, lowerbound=1289919.033307, norm of subgrad 35.571644 stepsize= 1.000000
+dualbound = 3613723.500972, lowerbound=1292561.500972, norm of subgrad 1137.473297 dualbound = 3613723.500972, lowerbound=1292561.500972, norm of subgrad 36.816676 stepsize= 1.000000
+dualbound = 3613798.848599, lowerbound=1289482.848599, norm of subgrad 1136.109523 dualbound = 3613798.848599, lowerbound=1289482.848599, norm of subgrad 36.569764 stepsize= 1.000000
+dualbound = 3613856.892748, lowerbound=1285624.892748, norm of subgrad 1134.408609 dualbound = 3613856.892748, lowerbound=1285624.892748, norm of subgrad 36.277323 stepsize= 1.000000
+dualbound = 3613909.836005, lowerbound=1291474.836005, norm of subgrad 1136.986735 dualbound = 3613909.836005, lowerbound=1291474.836005, norm of subgrad 36.289713 stepsize= 1.000000
+dualbound = 3614010.954210, lowerbound=1294131.954210, norm of subgrad 1138.136176 dualbound = 3614010.954210, lowerbound=1294131.954210, norm of subgrad 36.374692 stepsize= 1.000000
+dualbound = 3614085.052883, lowerbound=1287059.052883, norm of subgrad 1134.996499 dualbound = 3614085.052883, lowerbound=1287059.052883, norm of subgrad 35.101263 stepsize= 1.000000
+dualbound = 3614164.867581, lowerbound=1294312.867581, norm of subgrad 1138.198519 dualbound = 3614164.867581, lowerbound=1294312.867581, norm of subgrad 35.536104 stepsize= 1.000000
+dualbound = 3614213.235931, lowerbound=1289058.235931, norm of subgrad 1135.904149 dualbound = 3614213.235931, lowerbound=1289058.235931, norm of subgrad 35.614159 stepsize= 1.000000
+dualbound = 3614269.326296, lowerbound=1289202.326296, norm of subgrad 1135.996182 dualbound = 3614269.326296, lowerbound=1289202.326296, norm of subgrad 36.620901 stepsize= 1.000000
+dualbound = 3614307.942268, lowerbound=1288200.942268, norm of subgrad 1135.553144 dualbound = 3614307.942268, lowerbound=1288200.942268, norm of subgrad 36.312752 stepsize= 1.000000
+dualbound = 3614410.048211, lowerbound=1289192.048211, norm of subgrad 1135.979334 dualbound = 3614410.048211, lowerbound=1289192.048211, norm of subgrad 36.866054 stepsize= 1.000000
+dualbound = 3614464.107982, lowerbound=1291786.107982, norm of subgrad 1137.124931 dualbound = 3614464.107982, lowerbound=1291786.107982, norm of subgrad 36.346386 stepsize= 1.000000
+dualbound = 3614536.902244, lowerbound=1289126.902244, norm of subgrad 1135.930853 dualbound = 3614536.902244, lowerbound=1289126.902244, norm of subgrad 35.844027 stepsize= 1.000000
+dualbound = 3614595.970429, lowerbound=1294317.970429, norm of subgrad 1138.217014 dualbound = 3614595.970429, lowerbound=1294317.970429, norm of subgrad 35.764063 stepsize= 1.000000
+dualbound = 3614686.988750, lowerbound=1287576.988750, norm of subgrad 1135.251509 dualbound = 3614686.988750, lowerbound=1287576.988750, norm of subgrad 36.194175 stepsize= 1.000000
+dualbound = 3614750.726991, lowerbound=1289052.726991, norm of subgrad 1135.911408 dualbound = 3614750.726991, lowerbound=1289052.726991, norm of subgrad 36.135000 stepsize= 1.000000
+dualbound = 3614790.374570, lowerbound=1290711.374570, norm of subgrad 1136.643469 dualbound = 3614790.374570, lowerbound=1290711.374570, norm of subgrad 35.869870 stepsize= 1.000000
+dualbound = 3614881.244744, lowerbound=1290909.244744, norm of subgrad 1136.717311 dualbound = 3614881.244744, lowerbound=1290909.244744, norm of subgrad 36.164488 stepsize= 1.000000
+dualbound = 3614954.009351, lowerbound=1295649.009351, norm of subgrad 1138.801128 dualbound = 3614954.009351, lowerbound=1295649.009351, norm of subgrad 35.941127 stepsize= 1.000000
+dualbound = 3615000.345564, lowerbound=1291623.345564, norm of subgrad 1137.038410 dualbound = 3615000.345564, lowerbound=1291623.345564, norm of subgrad 35.767810 stepsize= 1.000000
+dualbound = 3615089.224468, lowerbound=1285897.224468, norm of subgrad 1134.503515 dualbound = 3615089.224468, lowerbound=1285897.224468, norm of subgrad 35.914884 stepsize= 1.000000
+dualbound = 3615135.461273, lowerbound=1293918.461273, norm of subgrad 1138.050289 dualbound = 3615135.461273, lowerbound=1293918.461273, norm of subgrad 35.864144 stepsize= 1.000000
+dualbound = 3615211.174136, lowerbound=1296369.174136, norm of subgrad 1139.136153 dualbound = 3615211.174136, lowerbound=1296369.174136, norm of subgrad 36.574757 stepsize= 1.000000
+dualbound = 3615269.942411, lowerbound=1288493.942411, norm of subgrad 1135.677306 dualbound = 3615269.942411, lowerbound=1288493.942411, norm of subgrad 36.438555 stepsize= 1.000000
+dualbound = 3615332.410340, lowerbound=1291576.410340, norm of subgrad 1137.038878 dualbound = 3615332.410340, lowerbound=1291576.410340, norm of subgrad 36.653348 stepsize= 1.000000
+dualbound = 3615389.462823, lowerbound=1296529.462823, norm of subgrad 1139.211334 dualbound = 3615389.462823, lowerbound=1296529.462823, norm of subgrad 36.469885 stepsize= 1.000000
+dualbound = 3615482.389711, lowerbound=1285916.389711, norm of subgrad 1134.513283 dualbound = 3615482.389711, lowerbound=1285916.389711, norm of subgrad 36.012871 stepsize= 1.000000
+dualbound = 3615548.047166, lowerbound=1294752.047166, norm of subgrad 1138.420857 dualbound = 3615548.047166, lowerbound=1294752.047166, norm of subgrad 36.271993 stepsize= 1.000000
+dualbound = 3615624.936528, lowerbound=1286977.936528, norm of subgrad 1134.985875 dualbound = 3615624.936528, lowerbound=1286977.936528, norm of subgrad 35.942862 stepsize= 1.000000
+dualbound = 3615691.853152, lowerbound=1289494.853152, norm of subgrad 1136.133290 dualbound = 3615691.853152, lowerbound=1289494.853152, norm of subgrad 37.025891 stepsize= 1.000000
+dualbound = 3615738.612348, lowerbound=1287982.612348, norm of subgrad 1135.419575 dualbound = 3615738.612348, lowerbound=1287982.612348, norm of subgrad 35.238604 stepsize= 1.000000
+dualbound = 3615861.175353, lowerbound=1297517.175353, norm of subgrad 1139.560519 dualbound = 3615861.175353, lowerbound=1297517.175353, norm of subgrad 34.692406 stepsize= 1.000000
+dualbound = 3615939.035771, lowerbound=1285952.035771, norm of subgrad 1134.499906 dualbound = 3615939.035771, lowerbound=1285952.035771, norm of subgrad 34.869190 stepsize= 1.000000
+dualbound = 3615966.454209, lowerbound=1293737.454209, norm of subgrad 1137.987458 dualbound = 3615966.454209, lowerbound=1293737.454209, norm of subgrad 36.130575 stepsize= 1.000000
+dualbound = 3616025.809157, lowerbound=1292366.809157, norm of subgrad 1137.347708 dualbound = 3616025.809157, lowerbound=1292366.809157, norm of subgrad 35.388627 stepsize= 1.000000
+dualbound = 3616091.749285, lowerbound=1292684.749285, norm of subgrad 1137.501099 dualbound = 3616091.749285, lowerbound=1292684.749285, norm of subgrad 35.915736 stepsize= 1.000000
+dualbound = 3616173.149417, lowerbound=1285843.149417, norm of subgrad 1134.481886 dualbound = 3616173.149417, lowerbound=1285843.149417, norm of subgrad 35.880359 stepsize= 1.000000
+dualbound = 3616244.602429, lowerbound=1296890.602429, norm of subgrad 1139.361489 dualbound = 3616244.602429, lowerbound=1296890.602429, norm of subgrad 36.406772 stepsize= 1.000000
+dualbound = 3616283.362272, lowerbound=1284557.362272, norm of subgrad 1133.919910 dualbound = 3616283.362272, lowerbound=1284557.362272, norm of subgrad 35.436702 stepsize= 1.000000
+dualbound = 3616355.640444, lowerbound=1295186.640444, norm of subgrad 1138.606008 dualbound = 3616355.640444, lowerbound=1295186.640444, norm of subgrad 36.183949 stepsize= 1.000000
+dualbound = 3616427.673746, lowerbound=1292851.673746, norm of subgrad 1137.565679 dualbound = 3616427.673746, lowerbound=1292851.673746, norm of subgrad 35.721608 stepsize= 1.000000
+dualbound = 3616500.213011, lowerbound=1291297.213011, norm of subgrad 1136.890150 dualbound = 3616500.213011, lowerbound=1291297.213011, norm of subgrad 35.979706 stepsize= 1.000000
+dualbound = 3616554.191906, lowerbound=1287881.191906, norm of subgrad 1135.424675 dualbound = 3616554.191906, lowerbound=1287881.191906, norm of subgrad 36.904998 stepsize= 1.000000
+dualbound = 3616601.242455, lowerbound=1292942.242455, norm of subgrad 1137.616035 dualbound = 3616601.242455, lowerbound=1292942.242455, norm of subgrad 35.707850 stepsize= 1.000000
+dualbound = 3616712.256039, lowerbound=1284007.256039, norm of subgrad 1133.698486 dualbound = 3616712.256039, lowerbound=1284007.256039, norm of subgrad 37.094657 stepsize= 1.000000
+dualbound = 3616736.278461, lowerbound=1287594.278461, norm of subgrad 1135.322984 dualbound = 3616736.278461, lowerbound=1287594.278461, norm of subgrad 37.256173 stepsize= 1.000000
+dualbound = 3616815.761067, lowerbound=1294230.761067, norm of subgrad 1138.189686 dualbound = 3616815.761067, lowerbound=1294230.761067, norm of subgrad 36.393442 stepsize= 1.000000
+dualbound = 3616915.252253, lowerbound=1293267.252253, norm of subgrad 1137.731186 dualbound = 3616915.252253, lowerbound=1293267.252253, norm of subgrad 35.559685 stepsize= 1.000000
+dualbound = 3616983.852136, lowerbound=1290232.852136, norm of subgrad 1136.430751 dualbound = 3616983.852136, lowerbound=1290232.852136, norm of subgrad 36.202208 stepsize= 1.000000
+dualbound = 3617038.679851, lowerbound=1294824.679851, norm of subgrad 1138.429480 dualbound = 3617038.679851, lowerbound=1294824.679851, norm of subgrad 35.381177 stepsize= 1.000000
+dualbound = 3617126.491778, lowerbound=1287387.491778, norm of subgrad 1135.167605 dualbound = 3617126.491778, lowerbound=1287387.491778, norm of subgrad 36.136020 stepsize= 1.000000
+dualbound = 3617163.650933, lowerbound=1294214.650933, norm of subgrad 1138.170308 dualbound = 3617163.650933, lowerbound=1294214.650933, norm of subgrad 35.414110 stepsize= 1.000000
+dualbound = 3617258.278705, lowerbound=1289738.278705, norm of subgrad 1136.194208 dualbound = 3617258.278705, lowerbound=1289738.278705, norm of subgrad 35.967037 stepsize= 1.000000
+dualbound = 3617313.460211, lowerbound=1289518.460211, norm of subgrad 1136.090868 dualbound = 3617313.460211, lowerbound=1289518.460211, norm of subgrad 35.202010 stepsize= 1.000000
+dualbound = 3617378.712747, lowerbound=1289513.712747, norm of subgrad 1136.112544 dualbound = 3617378.712747, lowerbound=1289513.712747, norm of subgrad 36.100589 stepsize= 1.000000
+dualbound = 3617443.472252, lowerbound=1288639.472252, norm of subgrad 1135.685023 dualbound = 3617443.472252, lowerbound=1288639.472252, norm of subgrad 34.724048 stepsize= 1.000000
+dualbound = 3617523.909736, lowerbound=1290739.909736, norm of subgrad 1136.638865 dualbound = 3617523.909736, lowerbound=1290739.909736, norm of subgrad 35.894811 stepsize= 1.000000
+dualbound = 3617558.089463, lowerbound=1290002.089463, norm of subgrad 1136.316017 dualbound = 3617558.089463, lowerbound=1290002.089463, norm of subgrad 35.301271 stepsize= 1.000000
+dualbound = 3617658.552377, lowerbound=1285741.552377, norm of subgrad 1134.408900 dualbound = 3617658.552377, lowerbound=1285741.552377, norm of subgrad 35.248587 stepsize= 1.000000
+dualbound = 3617728.709110, lowerbound=1290892.709110, norm of subgrad 1136.736869 dualbound = 3617728.709110, lowerbound=1290892.709110, norm of subgrad 36.717254 stepsize= 1.000000
+dualbound = 3617728.095813, lowerbound=1289593.095813, norm of subgrad 1136.153641 dualbound = 3617728.095813, lowerbound=1289593.095813, norm of subgrad 35.374945 stepsize= 1.000000
+dualbound = 3617838.697185, lowerbound=1291065.697185, norm of subgrad 1136.798442 dualbound = 3617838.697185, lowerbound=1291065.697185, norm of subgrad 36.818492 stepsize= 1.000000
+dualbound = 3617916.650149, lowerbound=1295688.650149, norm of subgrad 1138.820728 dualbound = 3617916.650149, lowerbound=1295688.650149, norm of subgrad 36.082585 stepsize= 1.000000
+dualbound = 3617950.419798, lowerbound=1293130.419798, norm of subgrad 1137.736973 dualbound = 3617950.419798, lowerbound=1293130.419798, norm of subgrad 36.725599 stepsize= 1.000000
+dualbound = 3618006.104136, lowerbound=1290909.104136, norm of subgrad 1136.741881 dualbound = 3618006.104136, lowerbound=1290909.104136, norm of subgrad 36.451123 stepsize= 1.000000
+dualbound = 3618092.278411, lowerbound=1291220.278411, norm of subgrad 1136.885341 dualbound = 3618092.278411, lowerbound=1291220.278411, norm of subgrad 37.069857 stepsize= 1.000000
+dualbound = 3618162.972838, lowerbound=1290914.972838, norm of subgrad 1136.741823 dualbound = 3618162.972838, lowerbound=1290914.972838, norm of subgrad 36.574505 stepsize= 1.000000
+dualbound = 3618235.315259, lowerbound=1293150.315259, norm of subgrad 1137.709680 dualbound = 3618235.315259, lowerbound=1293150.315259, norm of subgrad 36.129523 stepsize= 1.000000
+dualbound = 3618297.560960, lowerbound=1292725.560960, norm of subgrad 1137.527829 dualbound = 3618297.560960, lowerbound=1292725.560960, norm of subgrad 36.142021 stepsize= 1.000000
+dualbound = 3618363.133664, lowerbound=1295429.133664, norm of subgrad 1138.732248 dualbound = 3618363.133664, lowerbound=1295429.133664, norm of subgrad 36.709300 stepsize= 1.000000
+dualbound = 3618425.082621, lowerbound=1292086.082621, norm of subgrad 1137.256824 dualbound = 3618425.082621, lowerbound=1292086.082621, norm of subgrad 36.454752 stepsize= 1.000000
+dualbound = 3618491.389556, lowerbound=1291036.389556, norm of subgrad 1136.750804 dualbound = 3618491.389556, lowerbound=1291036.389556, norm of subgrad 35.104230 stepsize= 1.000000
+dualbound = 3618586.868290, lowerbound=1293536.868290, norm of subgrad 1137.867685 dualbound = 3618586.868290, lowerbound=1293536.868290, norm of subgrad 36.076013 stepsize= 1.000000
+dualbound = 3618653.055952, lowerbound=1293076.055952, norm of subgrad 1137.660782 dualbound = 3618653.055952, lowerbound=1293076.055952, norm of subgrad 35.527281 stepsize= 1.000000
+dualbound = 3618734.587450, lowerbound=1290978.587450, norm of subgrad 1136.735496 dualbound = 3618734.587450, lowerbound=1290978.587450, norm of subgrad 35.644516 stepsize= 1.000000
+dualbound = 3618788.049604, lowerbound=1288489.049604, norm of subgrad 1135.631124 dualbound = 3618788.049604, lowerbound=1288489.049604, norm of subgrad 34.963726 stepsize= 1.000000
+dualbound = 3618865.989290, lowerbound=1296664.989290, norm of subgrad 1139.232632 dualbound = 3618865.989290, lowerbound=1296664.989290, norm of subgrad 35.551929 stepsize= 1.000000
+dualbound = 3618928.774561, lowerbound=1287769.774561, norm of subgrad 1135.322322 dualbound = 3618928.774561, lowerbound=1287769.774561, norm of subgrad 35.352302 stepsize= 1.000000
+dualbound = 3618997.506428, lowerbound=1297320.506428, norm of subgrad 1139.570755 dualbound = 3618997.506428, lowerbound=1297320.506428, norm of subgrad 37.009889 stepsize= 1.000000
+dualbound = 3619042.096514, lowerbound=1286278.096514, norm of subgrad 1134.693834 dualbound = 3619042.096514, lowerbound=1286278.096514, norm of subgrad 36.008195 stepsize= 1.000000
+dualbound = 3619141.801312, lowerbound=1294652.801312, norm of subgrad 1138.331587 dualbound = 3619141.801312, lowerbound=1294652.801312, norm of subgrad 35.294543 stepsize= 1.000000
+dualbound = 3619204.200750, lowerbound=1287379.200750, norm of subgrad 1135.168798 dualbound = 3619204.200750, lowerbound=1287379.200750, norm of subgrad 35.936046 stepsize= 1.000000
+dualbound = 3619252.019284, lowerbound=1290075.019284, norm of subgrad 1136.370107 dualbound = 3619252.019284, lowerbound=1290075.019284, norm of subgrad 36.191415 stepsize= 1.000000
+dualbound = 3619325.982609, lowerbound=1288340.982609, norm of subgrad 1135.587946 dualbound = 3619325.982609, lowerbound=1288340.982609, norm of subgrad 35.957799 stepsize= 1.000000
+dualbound = 3619391.825900, lowerbound=1291489.825900, norm of subgrad 1136.966502 dualbound = 3619391.825900, lowerbound=1291489.825900, norm of subgrad 35.620827 stepsize= 1.000000
+dualbound = 3619461.085425, lowerbound=1287229.085425, norm of subgrad 1135.070080 dualbound = 3619461.085425, lowerbound=1287229.085425, norm of subgrad 34.989420 stepsize= 1.000000
+dualbound = 3619538.336253, lowerbound=1295600.336253, norm of subgrad 1138.789856 dualbound = 3619538.336253, lowerbound=1295600.336253, norm of subgrad 36.321493 stepsize= 1.000000
+dualbound = 3619574.965845, lowerbound=1289737.965845, norm of subgrad 1136.218714 dualbound = 3619574.965845, lowerbound=1289737.965845, norm of subgrad 35.939249 stepsize= 1.000000
+dualbound = 3619636.919455, lowerbound=1290965.919455, norm of subgrad 1136.762473 dualbound = 3619636.919455, lowerbound=1290965.919455, norm of subgrad 36.399912 stepsize= 1.000000
+dualbound = 3619726.775463, lowerbound=1288867.775463, norm of subgrad 1135.804462 dualbound = 3619726.775463, lowerbound=1288867.775463, norm of subgrad 35.691119 stepsize= 1.000000
+dualbound = 3619761.303267, lowerbound=1295198.303267, norm of subgrad 1138.626499 dualbound = 3619761.303267, lowerbound=1295198.303267, norm of subgrad 36.145924 stepsize= 1.000000
+dualbound = 3619823.443761, lowerbound=1288194.443761, norm of subgrad 1135.541036 dualbound = 3619823.443761, lowerbound=1288194.443761, norm of subgrad 36.347496 stepsize= 1.000000
+dualbound = 3619923.339546, lowerbound=1293377.339546, norm of subgrad 1137.803735 dualbound = 3619923.339546, lowerbound=1293377.339546, norm of subgrad 36.330370 stepsize= 1.000000
+dualbound = 3619990.878188, lowerbound=1294087.878188, norm of subgrad 1138.115934 dualbound = 3619990.878188, lowerbound=1294087.878188, norm of subgrad 35.882289 stepsize= 1.000000
+dualbound = 3620074.005087, lowerbound=1286312.005087, norm of subgrad 1134.700403 dualbound = 3620074.005087, lowerbound=1286312.005087, norm of subgrad 36.278463 stepsize= 1.000000
+dualbound = 3620098.935334, lowerbound=1288840.935334, norm of subgrad 1135.808494 dualbound = 3620098.935334, lowerbound=1288840.935334, norm of subgrad 35.283569 stepsize= 1.000000
+dualbound = 3620203.051362, lowerbound=1296303.051362, norm of subgrad 1139.065429 dualbound = 3620203.051362, lowerbound=1296303.051362, norm of subgrad 35.652714 stepsize= 1.000000
+dualbound = 3620280.435380, lowerbound=1297149.435380, norm of subgrad 1139.443037 dualbound = 3620280.435380, lowerbound=1297149.435380, norm of subgrad 35.473709 stepsize= 1.000000
+dualbound = 3620346.023906, lowerbound=1290743.023906, norm of subgrad 1136.643314 dualbound = 3620346.023906, lowerbound=1290743.023906, norm of subgrad 35.785312 stepsize= 1.000000
+dualbound = 3620390.388291, lowerbound=1291509.388291, norm of subgrad 1136.968508 dualbound = 3620390.388291, lowerbound=1291509.388291, norm of subgrad 35.105048 stepsize= 1.000000
+dualbound = 3620492.461079, lowerbound=1294184.461079, norm of subgrad 1138.171543 dualbound = 3620492.461079, lowerbound=1294184.461079, norm of subgrad 36.770542 stepsize= 1.000000
+dualbound = 3620524.477460, lowerbound=1293231.477460, norm of subgrad 1137.744909 dualbound = 3620524.477460, lowerbound=1293231.477460, norm of subgrad 35.553008 stepsize= 1.000000
+dualbound = 3620600.715142, lowerbound=1295713.715142, norm of subgrad 1138.834806 dualbound = 3620600.715142, lowerbound=1295713.715142, norm of subgrad 36.155742 stepsize= 1.000000
+dualbound = 3620666.168647, lowerbound=1289115.168647, norm of subgrad 1135.938453 dualbound = 3620666.168647, lowerbound=1289115.168647, norm of subgrad 36.144896 stepsize= 1.000000
+dualbound = 3620732.083620, lowerbound=1289738.083620, norm of subgrad 1136.201603 dualbound = 3620732.083620, lowerbound=1289738.083620, norm of subgrad 35.803840 stepsize= 1.000000
+dualbound = 3620793.880080, lowerbound=1294986.880080, norm of subgrad 1138.545950 dualbound = 3620793.880080, lowerbound=1294986.880080, norm of subgrad 36.902526 stepsize= 1.000000
+dualbound = 3620839.090311, lowerbound=1297838.090311, norm of subgrad 1139.776333 dualbound = 3620839.090311, lowerbound=1297838.090311, norm of subgrad 36.016805 stepsize= 1.000000
+dualbound = 3620934.080184, lowerbound=1287747.080184, norm of subgrad 1135.329503 dualbound = 3620934.080184, lowerbound=1287747.080184, norm of subgrad 36.345424 stepsize= 1.000000
+dualbound = 3620988.653962, lowerbound=1290662.653962, norm of subgrad 1136.617638 dualbound = 3620988.653962, lowerbound=1290662.653962, norm of subgrad 35.938472 stepsize= 1.000000
+dualbound = 3621058.860908, lowerbound=1294184.860908, norm of subgrad 1138.167765 dualbound = 3621058.860908, lowerbound=1294184.860908, norm of subgrad 36.210592 stepsize= 1.000000
+dualbound = 3621127.685003, lowerbound=1292929.685003, norm of subgrad 1137.603483 dualbound = 3621127.685003, lowerbound=1292929.685003, norm of subgrad 35.788603 stepsize= 1.000000
+dualbound = 3621219.444882, lowerbound=1291068.444882, norm of subgrad 1136.770621 dualbound = 3621219.444882, lowerbound=1291068.444882, norm of subgrad 35.647719 stepsize= 1.000000
+dualbound = 3621253.593478, lowerbound=1293565.593478, norm of subgrad 1137.893490 dualbound = 3621253.593478, lowerbound=1293565.593478, norm of subgrad 35.639144 stepsize= 1.000000
+dualbound = 3621327.083106, lowerbound=1288637.083106, norm of subgrad 1135.729318 dualbound = 3621327.083106, lowerbound=1288637.083106, norm of subgrad 36.297240 stepsize= 1.000000
+dualbound = 3621388.858467, lowerbound=1294557.858467, norm of subgrad 1138.331612 dualbound = 3621388.858467, lowerbound=1294557.858467, norm of subgrad 36.093980 stepsize= 1.000000
+dualbound = 3621460.212883, lowerbound=1287710.212883, norm of subgrad 1135.308862 dualbound = 3621460.212883, lowerbound=1287710.212883, norm of subgrad 35.879722 stepsize= 1.000000
+dualbound = 3621539.861389, lowerbound=1294057.861389, norm of subgrad 1138.089567 dualbound = 3621539.861389, lowerbound=1294057.861389, norm of subgrad 35.632127 stepsize= 1.000000
+dualbound = 3621603.232404, lowerbound=1287130.232404, norm of subgrad 1135.041071 dualbound = 3621603.232404, lowerbound=1287130.232404, norm of subgrad 35.374723 stepsize= 1.000000
+dualbound = 3621664.306451, lowerbound=1293046.306451, norm of subgrad 1137.674077 dualbound = 3621664.306451, lowerbound=1293046.306451, norm of subgrad 36.291515 stepsize= 1.000000
+dualbound = 3621726.394215, lowerbound=1291103.394215, norm of subgrad 1136.838332 dualbound = 3621726.394215, lowerbound=1291103.394215, norm of subgrad 36.879368 stepsize= 1.000000
+dualbound = 3621800.744665, lowerbound=1288563.744665, norm of subgrad 1135.703194 dualbound = 3621800.744665, lowerbound=1288563.744665, norm of subgrad 36.501376 stepsize= 1.000000
+dualbound = 3621882.767447, lowerbound=1294912.767447, norm of subgrad 1138.476512 dualbound = 3621882.767447, lowerbound=1294912.767447, norm of subgrad 36.028083 stepsize= 1.000000
+dualbound = 3621937.072658, lowerbound=1290513.072658, norm of subgrad 1136.552714 dualbound = 3621937.072658, lowerbound=1290513.072658, norm of subgrad 35.962553 stepsize= 1.000000
+dualbound = 3621997.404618, lowerbound=1289193.404618, norm of subgrad 1135.982572 dualbound = 3621997.404618, lowerbound=1289193.404618, norm of subgrad 36.377630 stepsize= 1.000000
+dualbound = 3622062.317757, lowerbound=1290371.317757, norm of subgrad 1136.483752 dualbound = 3622062.317757, lowerbound=1290371.317757, norm of subgrad 35.901436 stepsize= 1.000000
+dualbound = 3622161.727742, lowerbound=1288486.727742, norm of subgrad 1135.639788 dualbound = 3622161.727742, lowerbound=1288486.727742, norm of subgrad 35.922277 stepsize= 1.000000
+dualbound = 3622218.695709, lowerbound=1291443.695709, norm of subgrad 1136.943137 dualbound = 3622218.695709, lowerbound=1291443.695709, norm of subgrad 35.397288 stepsize= 1.000000
+dualbound = 3622287.547418, lowerbound=1290656.547418, norm of subgrad 1136.613192 dualbound = 3622287.547418, lowerbound=1290656.547418, norm of subgrad 36.081182 stepsize= 1.000000
+dualbound = 3622341.627783, lowerbound=1296470.627783, norm of subgrad 1139.170149 dualbound = 3622341.627783, lowerbound=1296470.627783, norm of subgrad 35.945519 stepsize= 1.000000
+dualbound = 3622418.252577, lowerbound=1292123.252577, norm of subgrad 1137.256019 dualbound = 3622418.252577, lowerbound=1292123.252577, norm of subgrad 36.119590 stepsize= 1.000000
+dualbound = 3622471.151950, lowerbound=1293316.151950, norm of subgrad 1137.789590 dualbound = 3622471.151950, lowerbound=1293316.151950, norm of subgrad 36.081843 stepsize= 1.000000
+dualbound = 3622559.217595, lowerbound=1287613.217595, norm of subgrad 1135.255133 dualbound = 3622559.217595, lowerbound=1287613.217595, norm of subgrad 35.764027 stepsize= 1.000000
+dualbound = 3622611.378322, lowerbound=1295434.378322, norm of subgrad 1138.734990 dualbound = 3622611.378322, lowerbound=1295434.378322, norm of subgrad 36.539851 stepsize= 1.000000
+dualbound = 3622675.151675, lowerbound=1284764.151675, norm of subgrad 1134.044158 dualbound = 3622675.151675, lowerbound=1284764.151675, norm of subgrad 36.820828 stepsize= 1.000000
+dualbound = 3622741.793902, lowerbound=1293303.793902, norm of subgrad 1137.770097 dualbound = 3622741.793902, lowerbound=1293303.793902, norm of subgrad 35.827953 stepsize= 1.000000
+dualbound = 3622827.164820, lowerbound=1292571.164820, norm of subgrad 1137.440181 dualbound = 3622827.164820, lowerbound=1292571.164820, norm of subgrad 35.838121 stepsize= 1.000000
+dualbound = 3622898.177723, lowerbound=1288765.177723, norm of subgrad 1135.773383 dualbound = 3622898.177723, lowerbound=1288765.177723, norm of subgrad 35.874962 stepsize= 1.000000
+dualbound = 3622964.762290, lowerbound=1294136.762290, norm of subgrad 1138.130819 dualbound = 3622964.762290, lowerbound=1294136.762290, norm of subgrad 35.659284 stepsize= 1.000000
+dualbound = 3623022.768377, lowerbound=1287255.768377, norm of subgrad 1135.085798 dualbound = 3623022.768377, lowerbound=1287255.768377, norm of subgrad 34.957204 stepsize= 1.000000
+dualbound = 3623099.355555, lowerbound=1296682.355555, norm of subgrad 1139.241131 dualbound = 3623099.355555, lowerbound=1296682.355555, norm of subgrad 35.561035 stepsize= 1.000000
+dualbound = 3623165.504219, lowerbound=1291188.504219, norm of subgrad 1136.826066 dualbound = 3623165.504219, lowerbound=1291188.504219, norm of subgrad 35.371580 stepsize= 1.000000
+dualbound = 3623249.276350, lowerbound=1291938.276350, norm of subgrad 1137.137316 dualbound = 3623249.276350, lowerbound=1291938.276350, norm of subgrad 35.025307 stepsize= 1.000000
+dualbound = 3623311.969014, lowerbound=1292679.969014, norm of subgrad 1137.513503 dualbound = 3623311.969014, lowerbound=1292679.969014, norm of subgrad 36.327574 stepsize= 1.000000
+dualbound = 3623368.662484, lowerbound=1295020.662484, norm of subgrad 1138.510282 dualbound = 3623368.662484, lowerbound=1295020.662484, norm of subgrad 35.237671 stepsize= 1.000000
+dualbound = 3623417.621759, lowerbound=1289531.621759, norm of subgrad 1136.123066 dualbound = 3623417.621759, lowerbound=1289531.621759, norm of subgrad 35.957743 stepsize= 1.000000
+dualbound = 3623472.298388, lowerbound=1291365.298388, norm of subgrad 1136.922292 dualbound = 3623472.298388, lowerbound=1291365.298388, norm of subgrad 35.800512 stepsize= 1.000000
+dualbound = 3623562.244179, lowerbound=1299007.244179, norm of subgrad 1140.258850 dualbound = 3623562.244179, lowerbound=1299007.244179, norm of subgrad 35.678366 stepsize= 1.000000
+dualbound = 3623639.218486, lowerbound=1292959.218486, norm of subgrad 1137.641516 dualbound = 3623639.218486, lowerbound=1292959.218486, norm of subgrad 36.687522 stepsize= 1.000000
+dualbound = 3623682.160358, lowerbound=1296585.160358, norm of subgrad 1139.206373 dualbound = 3623682.160358, lowerbound=1296585.160358, norm of subgrad 35.340372 stepsize= 1.000000
+dualbound = 3623763.222705, lowerbound=1289692.222705, norm of subgrad 1136.163379 dualbound = 3623763.222705, lowerbound=1289692.222705, norm of subgrad 35.440970 stepsize= 1.000000
+dualbound = 3623826.003076, lowerbound=1288644.003076, norm of subgrad 1135.721358 dualbound = 3623826.003076, lowerbound=1288644.003076, norm of subgrad 35.801960 stepsize= 1.000000
+dualbound = 3623880.836279, lowerbound=1289146.836279, norm of subgrad 1135.951511 dualbound = 3623880.836279, lowerbound=1289146.836279, norm of subgrad 35.969893 stepsize= 1.000000
+dualbound = 3623940.088715, lowerbound=1297317.088715, norm of subgrad 1139.562674 dualbound = 3623940.088715, lowerbound=1297317.088715, norm of subgrad 36.677683 stepsize= 1.000000
+dualbound = 3624009.987350, lowerbound=1288007.987350, norm of subgrad 1135.439557 dualbound = 3624009.987350, lowerbound=1288007.987350, norm of subgrad 35.845483 stepsize= 1.000000
+dualbound = 3624097.866318, lowerbound=1290355.866318, norm of subgrad 1136.502911 dualbound = 3624097.866318, lowerbound=1290355.866318, norm of subgrad 37.025383 stepsize= 1.000000
+dualbound = 3624149.914877, lowerbound=1291676.914877, norm of subgrad 1137.071200 dualbound = 3624149.914877, lowerbound=1291676.914877, norm of subgrad 36.139294 stepsize= 1.000000
+dualbound = 3624243.608362, lowerbound=1289288.608362, norm of subgrad 1135.997627 dualbound = 3624243.608362, lowerbound=1289288.608362, norm of subgrad 35.995743 stepsize= 1.000000
+dualbound = 3624307.067629, lowerbound=1287328.067629, norm of subgrad 1135.140990 dualbound = 3624307.067629, lowerbound=1287328.067629, norm of subgrad 35.783506 stepsize= 1.000000
+dualbound = 3624368.940277, lowerbound=1294867.940277, norm of subgrad 1138.468243 dualbound = 3624368.940277, lowerbound=1294867.940277, norm of subgrad 36.109177 stepsize= 1.000000
+dualbound = 3624415.627188, lowerbound=1287342.627188, norm of subgrad 1135.165903 dualbound = 3624415.627188, lowerbound=1287342.627188, norm of subgrad 36.134290 stepsize= 1.000000
+dualbound = 3624494.768200, lowerbound=1298029.768200, norm of subgrad 1139.850327 dualbound = 3624494.768200, lowerbound=1298029.768200, norm of subgrad 36.168232 stepsize= 1.000000
+dualbound = 3624580.941271, lowerbound=1285169.941271, norm of subgrad 1134.165306 dualbound = 3624580.941271, lowerbound=1285169.941271, norm of subgrad 35.315338 stepsize= 1.000000
+dualbound = 3624647.071679, lowerbound=1299570.071679, norm of subgrad 1140.493784 dualbound = 3624647.071679, lowerbound=1299570.071679, norm of subgrad 34.958982 stepsize= 1.000000
+dualbound = 3624738.813197, lowerbound=1287578.813197, norm of subgrad 1135.206507 dualbound = 3624738.813197, lowerbound=1287578.813197, norm of subgrad 34.738185 stepsize= 1.000000
+dualbound = 3624776.065769, lowerbound=1303179.065769, norm of subgrad 1142.098098 dualbound = 3624776.065769, lowerbound=1303179.065769, norm of subgrad 35.302303 stepsize= 1.000000
+dualbound = 3624818.934385, lowerbound=1288943.934385, norm of subgrad 1135.868361 dualbound = 3624818.934385, lowerbound=1288943.934385, norm of subgrad 35.998175 stepsize= 1.000000
+dualbound = 3624897.833360, lowerbound=1290946.833360, norm of subgrad 1136.714051 dualbound = 3624897.833360, lowerbound=1290946.833360, norm of subgrad 35.368050 stepsize= 1.000000
+dualbound = 3624999.546948, lowerbound=1287093.546948, norm of subgrad 1135.028434 dualbound = 3624999.546948, lowerbound=1287093.546948, norm of subgrad 36.023792 stepsize= 1.000000
+dualbound = 3625033.469391, lowerbound=1289992.469391, norm of subgrad 1136.309143 dualbound = 3625033.469391, lowerbound=1289992.469391, norm of subgrad 35.212532 stepsize= 1.000000
+dualbound = 3625118.224433, lowerbound=1291889.224433, norm of subgrad 1137.137733 dualbound = 3625118.224433, lowerbound=1291889.224433, norm of subgrad 35.745700 stepsize= 1.000000
+dualbound = 3625177.286834, lowerbound=1290398.286834, norm of subgrad 1136.487258 dualbound = 3625177.286834, lowerbound=1290398.286834, norm of subgrad 35.553655 stepsize= 1.000000
+dualbound = 3625228.173954, lowerbound=1294364.173955, norm of subgrad 1138.268498 dualbound = 3625228.173954, lowerbound=1294364.173955, norm of subgrad 36.631777 stepsize= 1.000000
+dualbound = 3625293.169834, lowerbound=1294698.169834, norm of subgrad 1138.406856 dualbound = 3625293.169834, lowerbound=1294698.169834, norm of subgrad 36.564954 stepsize= 1.000000
+dualbound = 3625344.906112, lowerbound=1287119.906112, norm of subgrad 1135.084096 dualbound = 3625344.906112, lowerbound=1287119.906112, norm of subgrad 36.711528 stepsize= 1.000000
+dualbound = 3625434.182540, lowerbound=1290850.182540, norm of subgrad 1136.707167 dualbound = 3625434.182540, lowerbound=1290850.182540, norm of subgrad 36.637091 stepsize= 1.000000
+dualbound = 3625485.676649, lowerbound=1292650.676649, norm of subgrad 1137.488759 dualbound = 3625485.676649, lowerbound=1292650.676649, norm of subgrad 35.797962 stepsize= 1.000000
+dualbound = 3625579.733806, lowerbound=1294964.733806, norm of subgrad 1138.508557 dualbound = 3625579.733806, lowerbound=1294964.733806, norm of subgrad 36.483656 stepsize= 1.000000
+dualbound = 3625608.453470, lowerbound=1290227.453470, norm of subgrad 1136.417816 dualbound = 3625608.453470, lowerbound=1290227.453470, norm of subgrad 35.308918 stepsize= 1.000000
+dualbound = 3625726.456471, lowerbound=1293730.456471, norm of subgrad 1137.938687 dualbound = 3625726.456471, lowerbound=1293730.456471, norm of subgrad 35.944443 stepsize= 1.000000
+dualbound = 3625760.173022, lowerbound=1290938.173022, norm of subgrad 1136.761265 dualbound = 3625760.173022, lowerbound=1290938.173022, norm of subgrad 36.355420 stepsize= 1.000000
+dualbound = 3625809.185513, lowerbound=1291035.185513, norm of subgrad 1136.829884 dualbound = 3625809.185513, lowerbound=1291035.185513, norm of subgrad 37.363251 stepsize= 1.000000
+dualbound = 3625879.090835, lowerbound=1293673.090835, norm of subgrad 1137.952148 dualbound = 3625879.090835, lowerbound=1293673.090835, norm of subgrad 36.495278 stepsize= 1.000000
+dualbound = 3625991.681232, lowerbound=1293907.681232, norm of subgrad 1138.020071 dualbound = 3625991.681232, lowerbound=1293907.681232, norm of subgrad 35.980417 stepsize= 1.000000
+dualbound = 3626027.750950, lowerbound=1295035.750950, norm of subgrad 1138.530962 dualbound = 3626027.750950, lowerbound=1295035.750950, norm of subgrad 35.398725 stepsize= 1.000000
+dualbound = 3626150.726845, lowerbound=1290218.726845, norm of subgrad 1136.395498 dualbound = 3626150.726845, lowerbound=1290218.726845, norm of subgrad 36.041308 stepsize= 1.000000
+dualbound = 3626170.016879, lowerbound=1291360.016879, norm of subgrad 1136.935802 dualbound = 3626170.016879, lowerbound=1291360.016879, norm of subgrad 35.809078 stepsize= 1.000000
+dualbound = 3626226.091446, lowerbound=1285292.091446, norm of subgrad 1134.285719 dualbound = 3626226.091446, lowerbound=1285292.091446, norm of subgrad 36.987492 stepsize= 1.000000
+dualbound = 3626291.782692, lowerbound=1293774.782692, norm of subgrad 1137.992875 dualbound = 3626291.782692, lowerbound=1293774.782692, norm of subgrad 36.313789 stepsize= 1.000000
+dualbound = 3626397.054483, lowerbound=1298335.054483, norm of subgrad 1139.966251 dualbound = 3626397.054483, lowerbound=1298335.054483, norm of subgrad 35.962088 stepsize= 1.000000
+dualbound = 3626463.286235, lowerbound=1289349.286235, norm of subgrad 1136.020372 dualbound = 3626463.286235, lowerbound=1289349.286235, norm of subgrad 35.485656 stepsize= 1.000000
+dualbound = 3626519.630548, lowerbound=1297121.630548, norm of subgrad 1139.443562 dualbound = 3626519.630548, lowerbound=1297121.630548, norm of subgrad 35.585732 stepsize= 1.000000
+dualbound = 3626599.718120, lowerbound=1288011.718120, norm of subgrad 1135.422705 dualbound = 3626599.718120, lowerbound=1288011.718120, norm of subgrad 35.398977 stepsize= 1.000000
+dualbound = 3626656.940075, lowerbound=1295338.940075, norm of subgrad 1138.671129 dualbound = 3626656.940075, lowerbound=1295338.940075, norm of subgrad 35.919660 stepsize= 1.000000
+dualbound = 3626723.467532, lowerbound=1292465.467532, norm of subgrad 1137.415697 dualbound = 3626723.467532, lowerbound=1292465.467532, norm of subgrad 36.270201 stepsize= 1.000000
+dualbound = 3626785.991830, lowerbound=1293586.991830, norm of subgrad 1137.883119 dualbound = 3626785.991830, lowerbound=1293586.991830, norm of subgrad 35.405145 stepsize= 1.000000
+dualbound = 3626867.138724, lowerbound=1287266.138724, norm of subgrad 1135.096092 dualbound = 3626867.138724, lowerbound=1287266.138724, norm of subgrad 35.470366 stepsize= 1.000000
+dualbound = 3626937.064182, lowerbound=1293976.064182, norm of subgrad 1138.063295 dualbound = 3626937.064182, lowerbound=1293976.064182, norm of subgrad 35.803987 stepsize= 1.000000
+dualbound = 3627009.351975, lowerbound=1291086.351975, norm of subgrad 1136.782456 dualbound = 3627009.351975, lowerbound=1291086.351975, norm of subgrad 35.500532 stepsize= 1.000000
+dualbound = 3627059.162747, lowerbound=1292916.162747, norm of subgrad 1137.593145 dualbound = 3627059.162747, lowerbound=1292916.162747, norm of subgrad 35.380938 stepsize= 1.000000
+dualbound = 3627118.690527, lowerbound=1295437.690527, norm of subgrad 1138.719759 dualbound = 3627118.690527, lowerbound=1295437.690527, norm of subgrad 36.118247 stepsize= 1.000000
+dualbound = 3627187.514084, lowerbound=1286789.514084, norm of subgrad 1134.894495 dualbound = 3627187.514084, lowerbound=1286789.514084, norm of subgrad 35.564358 stepsize= 1.000000
+dualbound = 3627257.890876, lowerbound=1296230.890876, norm of subgrad 1139.085111 dualbound = 3627257.890876, lowerbound=1296230.890876, norm of subgrad 36.801859 stepsize= 1.000000
+dualbound = 3627312.976573, lowerbound=1292020.976573, norm of subgrad 1137.225561 dualbound = 3627312.976573, lowerbound=1292020.976573, norm of subgrad 36.277895 stepsize= 1.000000
+dualbound = 3627402.684909, lowerbound=1292320.684909, norm of subgrad 1137.337103 dualbound = 3627402.684909, lowerbound=1292320.684909, norm of subgrad 36.120747 stepsize= 1.000000
+dualbound = 3627451.499731, lowerbound=1290534.499731, norm of subgrad 1136.595134 dualbound = 3627451.499731, lowerbound=1290534.499731, norm of subgrad 36.916322 stepsize= 1.000000
+dualbound = 3627515.366481, lowerbound=1292209.366481, norm of subgrad 1137.288163 dualbound = 3627515.366481, lowerbound=1292209.366481, norm of subgrad 35.761246 stepsize= 1.000000
+dualbound = 3627583.262475, lowerbound=1293266.262475, norm of subgrad 1137.756240 dualbound = 3627583.262475, lowerbound=1293266.262475, norm of subgrad 35.929041 stepsize= 1.000000
+dualbound = 3627672.870918, lowerbound=1295058.870918, norm of subgrad 1138.570099 dualbound = 3627672.870918, lowerbound=1295058.870918, norm of subgrad 37.048731 stepsize= 1.000000
+dualbound = 3627692.774967, lowerbound=1294898.774967, norm of subgrad 1138.506379 dualbound = 3627692.774967, lowerbound=1294898.774967, norm of subgrad 36.302948 stepsize= 1.000000
+dualbound = 3627775.481410, lowerbound=1294098.481410, norm of subgrad 1138.135089 dualbound = 3627775.481410, lowerbound=1294098.481410, norm of subgrad 36.547318 stepsize= 1.000000
+dualbound = 3627859.730746, lowerbound=1292361.730746, norm of subgrad 1137.374050 dualbound = 3627859.730746, lowerbound=1292361.730746, norm of subgrad 36.636721 stepsize= 1.000000
+dualbound = 3627904.353224, lowerbound=1293136.353224, norm of subgrad 1137.715849 dualbound = 3627904.353224, lowerbound=1293136.353224, norm of subgrad 36.133398 stepsize= 1.000000
+dualbound = 3627996.639021, lowerbound=1291833.639021, norm of subgrad 1137.134838 dualbound = 3627996.639021, lowerbound=1291833.639021, norm of subgrad 36.527877 stepsize= 1.000000
+dualbound = 3628063.827775, lowerbound=1296595.827775, norm of subgrad 1139.212811 dualbound = 3628063.827775, lowerbound=1296595.827775, norm of subgrad 35.737778 stepsize= 1.000000
+dualbound = 3628105.537230, lowerbound=1292093.537230, norm of subgrad 1137.256584 dualbound = 3628105.537230, lowerbound=1292093.537230, norm of subgrad 36.065350 stepsize= 1.000000
+dualbound = 3628186.467808, lowerbound=1289116.467808, norm of subgrad 1135.914375 dualbound = 3628186.467808, lowerbound=1289116.467808, norm of subgrad 35.579918 stepsize= 1.000000
+dualbound = 3628260.944674, lowerbound=1288529.944674, norm of subgrad 1135.679948 dualbound = 3628260.944674, lowerbound=1288529.944674, norm of subgrad 36.241921 stepsize= 1.000000
+dualbound = 3628342.591647, lowerbound=1294166.591647, norm of subgrad 1138.126351 dualbound = 3628342.591647, lowerbound=1294166.591647, norm of subgrad 35.307888 stepsize= 1.000000
+dualbound = 3628409.886783, lowerbound=1284311.886783, norm of subgrad 1133.786967 dualbound = 3628409.886783, lowerbound=1284311.886783, norm of subgrad 35.047042 stepsize= 1.000000
+dualbound = 3628490.166468, lowerbound=1293944.166468, norm of subgrad 1138.058507 dualbound = 3628490.166468, lowerbound=1293944.166468, norm of subgrad 36.239201 stepsize= 1.000000
+dualbound = 3628518.902110, lowerbound=1292452.902110, norm of subgrad 1137.391710 dualbound = 3628518.902110, lowerbound=1292452.902110, norm of subgrad 35.153032 stepsize= 1.000000
+dualbound = 3628621.613142, lowerbound=1295312.613142, norm of subgrad 1138.624878 dualbound = 3628621.613142, lowerbound=1295312.613142, norm of subgrad 35.450120 stepsize= 1.000000
+dualbound = 3628687.246563, lowerbound=1291200.246563, norm of subgrad 1136.863777 dualbound = 3628687.246563, lowerbound=1291200.246563, norm of subgrad 36.395514 stepsize= 1.000000
+dualbound = 3628712.025550, lowerbound=1297650.025550, norm of subgrad 1139.711378 dualbound = 3628712.025550, lowerbound=1297650.025550, norm of subgrad 36.287449 stepsize= 1.000000
+dualbound = 3628795.929553, lowerbound=1289404.929553, norm of subgrad 1136.063348 dualbound = 3628795.929553, lowerbound=1289404.929553, norm of subgrad 36.316718 stepsize= 1.000000
+dualbound = 3628851.325639, lowerbound=1293833.325639, norm of subgrad 1137.995310 dualbound = 3628851.325639, lowerbound=1293833.325639, norm of subgrad 35.431569 stepsize= 1.000000
+dualbound = 3628946.875365, lowerbound=1288114.875365, norm of subgrad 1135.451838 dualbound = 3628946.875365, lowerbound=1288114.875365, norm of subgrad 35.093443 stepsize= 1.000000
+dualbound = 3629012.545271, lowerbound=1298227.545271, norm of subgrad 1139.948484 dualbound = 3629012.545271, lowerbound=1298227.545271, norm of subgrad 36.341022 stepsize= 1.000000
+dualbound = 3629030.401776, lowerbound=1290504.401776, norm of subgrad 1136.580574 dualbound = 3629030.401776, lowerbound=1290504.401776, norm of subgrad 36.453484 stepsize= 1.000000
+dualbound = 3629115.725050, lowerbound=1290513.725050, norm of subgrad 1136.542443 dualbound = 3629115.725050, lowerbound=1290513.725050, norm of subgrad 36.059995 stepsize= 1.000000
+dualbound = 3629169.768635, lowerbound=1291958.768635, norm of subgrad 1137.197331 dualbound = 3629169.768635, lowerbound=1291958.768635, norm of subgrad 36.235943 stepsize= 1.000000
+dualbound = 3629265.459653, lowerbound=1291631.459653, norm of subgrad 1137.062645 dualbound = 3629265.459653, lowerbound=1291631.459653, norm of subgrad 37.090309 stepsize= 1.000000
+dualbound = 3629332.423018, lowerbound=1293439.423018, norm of subgrad 1137.848594 dualbound = 3629332.423018, lowerbound=1293439.423018, norm of subgrad 36.427508 stepsize= 1.000000
+dualbound = 3629391.496489, lowerbound=1291543.496489, norm of subgrad 1136.992742 dualbound = 3629391.496489, lowerbound=1291543.496489, norm of subgrad 35.610019 stepsize= 1.000000
+dualbound = 3629463.190333, lowerbound=1291060.190333, norm of subgrad 1136.788542 dualbound = 3629463.190333, lowerbound=1291060.190333, norm of subgrad 36.051267 stepsize= 1.000000
+dualbound = 3629521.109377, lowerbound=1293781.109377, norm of subgrad 1137.999169 dualbound = 3629521.109377, lowerbound=1293781.109377, norm of subgrad 36.316925 stepsize= 1.000000
+dualbound = 3629577.379684, lowerbound=1287277.379684, norm of subgrad 1135.122187 dualbound = 3629577.379684, lowerbound=1287277.379684, norm of subgrad 35.794836 stepsize= 1.000000
+dualbound = 3629663.626499, lowerbound=1297078.626499, norm of subgrad 1139.427763 dualbound = 3629663.626499, lowerbound=1297078.626499, norm of subgrad 36.100510 stepsize= 1.000000
+dualbound = 3629722.325182, lowerbound=1292162.325182, norm of subgrad 1137.288145 dualbound = 3629722.325182, lowerbound=1292162.325182, norm of subgrad 36.341418 stepsize= 1.000000
+dualbound = 3629786.903585, lowerbound=1290605.903585, norm of subgrad 1136.600151 dualbound = 3629786.903585, lowerbound=1290605.903585, norm of subgrad 36.312235 stepsize= 1.000000
+dualbound = 3629846.769511, lowerbound=1290750.769511, norm of subgrad 1136.659918 dualbound = 3629846.769511, lowerbound=1290750.769511, norm of subgrad 36.122928 stepsize= 1.000000
+dualbound = 3629925.245184, lowerbound=1289709.245184, norm of subgrad 1136.169990 dualbound = 3629925.245184, lowerbound=1289709.245184, norm of subgrad 35.376202 stepsize= 1.000000
+dualbound = 3630009.708034, lowerbound=1289380.708034, norm of subgrad 1136.025399 dualbound = 3630009.708034, lowerbound=1289380.708034, norm of subgrad 35.460723 stepsize= 1.000000
+dualbound = 3630072.327862, lowerbound=1293682.327862, norm of subgrad 1137.944343 dualbound = 3630072.327862, lowerbound=1293682.327862, norm of subgrad 36.022491 stepsize= 1.000000
+dualbound = 3630138.655861, lowerbound=1292902.655861, norm of subgrad 1137.585450 dualbound = 3630138.655861, lowerbound=1292902.655861, norm of subgrad 35.557390 stepsize= 1.000000
+dualbound = 3630201.348555, lowerbound=1293042.348555, norm of subgrad 1137.667943 dualbound = 3630201.348555, lowerbound=1293042.348555, norm of subgrad 36.175858 stepsize= 1.000000
+dualbound = 3630277.654728, lowerbound=1290914.654728, norm of subgrad 1136.713532 dualbound = 3630277.654728, lowerbound=1290914.654728, norm of subgrad 35.767390 stepsize= 1.000000
+dualbound = 3630356.435396, lowerbound=1294703.435396, norm of subgrad 1138.392039 dualbound = 3630356.435396, lowerbound=1294703.435396, norm of subgrad 36.218513 stepsize= 1.000000
+dualbound = 3630394.237902, lowerbound=1293679.237902, norm of subgrad 1137.939910 dualbound = 3630394.237902, lowerbound=1293679.237902, norm of subgrad 35.578118 stepsize= 1.000000
+dualbound = 3630504.198168, lowerbound=1293625.198168, norm of subgrad 1137.903862 dualbound = 3630504.198168, lowerbound=1293625.198168, norm of subgrad 36.193373 stepsize= 1.000000
+dualbound = 3630557.980030, lowerbound=1288605.980030, norm of subgrad 1135.705939 dualbound = 3630557.980030, lowerbound=1288605.980030, norm of subgrad 35.718089 stepsize= 1.000000
+dualbound = 3630605.357496, lowerbound=1294928.357496, norm of subgrad 1138.472379 dualbound = 3630605.357496, lowerbound=1294928.357496, norm of subgrad 35.190588 stepsize= 1.000000
+dualbound = 3630688.545638, lowerbound=1287548.545638, norm of subgrad 1135.249993 dualbound = 3630688.545638, lowerbound=1287548.545638, norm of subgrad 36.430593 stepsize= 1.000000
+dualbound = 3630747.496423, lowerbound=1297905.496423, norm of subgrad 1139.789672 dualbound = 3630747.496423, lowerbound=1297905.496423, norm of subgrad 35.692447 stepsize= 1.000000
+dualbound = 3630828.345595, lowerbound=1288479.345595, norm of subgrad 1135.655470 dualbound = 3630828.345595, lowerbound=1288479.345595, norm of subgrad 36.260849 stepsize= 1.000000
+dualbound = 3630879.305750, lowerbound=1294712.305750, norm of subgrad 1138.371778 dualbound = 3630879.305750, lowerbound=1294712.305750, norm of subgrad 35.056528 stepsize= 1.000000
+dualbound = 3630955.144610, lowerbound=1290719.144610, norm of subgrad 1136.635889 dualbound = 3630955.144610, lowerbound=1290719.144610, norm of subgrad 36.025531 stepsize= 1.000000
+dualbound = 3631018.616958, lowerbound=1290346.616958, norm of subgrad 1136.472444 dualbound = 3631018.616958, lowerbound=1290346.616958, norm of subgrad 35.867427 stepsize= 1.000000
+dualbound = 3631090.821572, lowerbound=1294273.821572, norm of subgrad 1138.199816 dualbound = 3631090.821572, lowerbound=1294273.821572, norm of subgrad 36.016727 stepsize= 1.000000
+dualbound = 3631157.708224, lowerbound=1295543.708224, norm of subgrad 1138.757089 dualbound = 3631157.708224, lowerbound=1295543.708224, norm of subgrad 35.928911 stepsize= 1.000000
+dualbound = 3631224.708798, lowerbound=1287308.708798, norm of subgrad 1135.151403 dualbound = 3631224.708798, lowerbound=1287308.708798, norm of subgrad 36.428019 stepsize= 1.000000
+dualbound = 3631262.249217, lowerbound=1296950.249217, norm of subgrad 1139.379765 dualbound = 3631262.249217, lowerbound=1296950.249217, norm of subgrad 35.686698 stepsize= 1.000000
+dualbound = 3631354.553798, lowerbound=1294512.553798, norm of subgrad 1138.303366 dualbound = 3631354.553798, lowerbound=1294512.553798, norm of subgrad 36.253339 stepsize= 1.000000
+dualbound = 3631416.813472, lowerbound=1291977.813472, norm of subgrad 1137.156899 dualbound = 3631416.813472, lowerbound=1291977.813472, norm of subgrad 34.788787 stepsize= 1.000000
+dualbound = 3631503.869049, lowerbound=1295267.869049, norm of subgrad 1138.616208 dualbound = 3631503.869049, lowerbound=1295267.869049, norm of subgrad 35.581675 stepsize= 1.000000
+dualbound = 3631559.804427, lowerbound=1292012.804427, norm of subgrad 1137.210976 dualbound = 3631559.804427, lowerbound=1292012.804427, norm of subgrad 35.943503 stepsize= 1.000000
+dualbound = 3631624.442245, lowerbound=1295061.442245, norm of subgrad 1138.563763 dualbound = 3631624.442245, lowerbound=1295061.442245, norm of subgrad 36.477909 stepsize= 1.000000
+dualbound = 3631656.533489, lowerbound=1293848.533489, norm of subgrad 1138.023081 dualbound = 3631656.533489, lowerbound=1293848.533489, norm of subgrad 35.778363 stepsize= 1.000000
+dualbound = 3631762.213317, lowerbound=1290655.213317, norm of subgrad 1136.602927 dualbound = 3631762.213317, lowerbound=1290655.213317, norm of subgrad 36.286083 stepsize= 1.000000
+dualbound = 3631832.643607, lowerbound=1290348.643607, norm of subgrad 1136.464537 dualbound = 3631832.643607, lowerbound=1290348.643607, norm of subgrad 35.685155 stepsize= 1.000000
+dualbound = 3631897.221535, lowerbound=1293371.221535, norm of subgrad 1137.802365 dualbound = 3631897.221535, lowerbound=1293371.221535, norm of subgrad 35.882836 stepsize= 1.000000
+dualbound = 3631946.237709, lowerbound=1288634.237709, norm of subgrad 1135.728946 dualbound = 3631946.237709, lowerbound=1288634.237709, norm of subgrad 35.986333 stepsize= 1.000000
+dualbound = 3632036.072407, lowerbound=1295202.072407, norm of subgrad 1138.578092 dualbound = 3632036.072407, lowerbound=1295202.072407, norm of subgrad 35.324704 stepsize= 1.000000
+dualbound = 3632108.636916, lowerbound=1291735.636916, norm of subgrad 1137.069759 dualbound = 3632108.636916, lowerbound=1291735.636916, norm of subgrad 35.560716 stepsize= 1.000000
+dualbound = 3632166.322410, lowerbound=1294919.322410, norm of subgrad 1138.474559 dualbound = 3632166.322410, lowerbound=1294919.322410, norm of subgrad 35.534286 stepsize= 1.000000
+dualbound = 3632248.654733, lowerbound=1290041.654733, norm of subgrad 1136.349266 dualbound = 3632248.654733, lowerbound=1290041.654733, norm of subgrad 36.473721 stepsize= 1.000000
+dualbound = 3632284.561939, lowerbound=1297562.561939, norm of subgrad 1139.673007 dualbound = 3632284.561939, lowerbound=1297562.561939, norm of subgrad 36.440461 stepsize= 1.000000
+dualbound = 3632360.695390, lowerbound=1290006.695390, norm of subgrad 1136.309243 dualbound = 3632360.695390, lowerbound=1290006.695390, norm of subgrad 35.610861 stepsize= 1.000000
+dualbound = 3632432.012843, lowerbound=1296026.012843, norm of subgrad 1138.992104 dualbound = 3632432.012843, lowerbound=1296026.012843, norm of subgrad 36.719442 stepsize= 1.000000
+dualbound = 3632504.101501, lowerbound=1289403.101501, norm of subgrad 1136.081028 dualbound = 3632504.101501, lowerbound=1289403.101501, norm of subgrad 36.729942 stepsize= 1.000000
+dualbound = 3632542.022537, lowerbound=1296935.022537, norm of subgrad 1139.386687 dualbound = 3632542.022537, lowerbound=1296935.022537, norm of subgrad 36.123691 stepsize= 1.000000
+dualbound = 3632630.870311, lowerbound=1294923.870311, norm of subgrad 1138.458111 dualbound = 3632630.870311, lowerbound=1294923.870311, norm of subgrad 35.381461 stepsize= 1.000000
+dualbound = 3632711.266303, lowerbound=1291672.266303, norm of subgrad 1137.035737 dualbound = 3632711.266303, lowerbound=1291672.266303, norm of subgrad 35.473878 stepsize= 1.000000
+dualbound = 3632798.496260, lowerbound=1295286.496261, norm of subgrad 1138.616483 dualbound = 3632798.496260, lowerbound=1295286.496261, norm of subgrad 35.330298 stepsize= 1.000000
+dualbound = 3632873.019030, lowerbound=1294590.019030, norm of subgrad 1138.293468 dualbound = 3632873.019030, lowerbound=1294590.019030, norm of subgrad 34.590790 stepsize= 1.000000
+dualbound = 3632929.363731, lowerbound=1289211.363731, norm of subgrad 1135.973751 dualbound = 3632929.363731, lowerbound=1289211.363731, norm of subgrad 35.795875 stepsize= 1.000000
+dualbound = 3632962.428251, lowerbound=1291859.428251, norm of subgrad 1137.146177 dualbound = 3632962.428251, lowerbound=1291859.428251, norm of subgrad 35.708046 stepsize= 1.000000
+dualbound = 3633039.143445, lowerbound=1296923.143445, norm of subgrad 1139.370064 dualbound = 3633039.143445, lowerbound=1296923.143445, norm of subgrad 36.300347 stepsize= 1.000000
+dualbound = 3633098.749917, lowerbound=1293662.749917, norm of subgrad 1137.932226 dualbound = 3633098.749917, lowerbound=1293662.749917, norm of subgrad 35.869297 stepsize= 1.000000
+dualbound = 3633159.107430, lowerbound=1290260.107430, norm of subgrad 1136.446702 dualbound = 3633159.107430, lowerbound=1290260.107430, norm of subgrad 36.212671 stepsize= 1.000000
+dualbound = 3633221.329622, lowerbound=1296795.329622, norm of subgrad 1139.329772 dualbound = 3633221.329622, lowerbound=1296795.329622, norm of subgrad 36.595385 stepsize= 1.000000
+dualbound = 3633278.577490, lowerbound=1297982.577490, norm of subgrad 1139.820415 dualbound = 3633278.577490, lowerbound=1297982.577490, norm of subgrad 35.570323 stepsize= 1.000000
+dualbound = 3633374.522591, lowerbound=1291709.522591, norm of subgrad 1137.054758 dualbound = 3633374.522591, lowerbound=1291709.522591, norm of subgrad 35.776320 stepsize= 1.000000
+dualbound = 3633424.522397, lowerbound=1291864.522397, norm of subgrad 1137.146219 dualbound = 3633424.522397, lowerbound=1291864.522397, norm of subgrad 35.874780 stepsize= 1.000000
+dualbound = 3633491.644886, lowerbound=1293102.644886, norm of subgrad 1137.661920 dualbound = 3633491.644886, lowerbound=1293102.644886, norm of subgrad 35.201172 stepsize= 1.000000
+dualbound = 3633575.537523, lowerbound=1288576.537523, norm of subgrad 1135.652912 dualbound = 3633575.537523, lowerbound=1288576.537523, norm of subgrad 34.855310 stepsize= 1.000000
+dualbound = 3633647.554067, lowerbound=1289692.554067, norm of subgrad 1136.184208 dualbound = 3633647.554067, lowerbound=1289692.554067, norm of subgrad 35.972441 stepsize= 1.000000
+dualbound = 3633675.675580, lowerbound=1293228.675580, norm of subgrad 1137.759059 dualbound = 3633675.675580, lowerbound=1293228.675580, norm of subgrad 35.987797 stepsize= 1.000000
+dualbound = 3633759.469288, lowerbound=1292202.469288, norm of subgrad 1137.307553 dualbound = 3633759.469288, lowerbound=1292202.469288, norm of subgrad 36.739539 stepsize= 1.000000
+dualbound = 3633821.371939, lowerbound=1291940.371939, norm of subgrad 1137.162861 dualbound = 3633821.371939, lowerbound=1291940.371939, norm of subgrad 35.509191 stepsize= 1.000000
+dualbound = 3633906.366335, lowerbound=1296123.366335, norm of subgrad 1138.986552 dualbound = 3633906.366335, lowerbound=1296123.366335, norm of subgrad 35.383533 stepsize= 1.000000
+dualbound = 3633969.537782, lowerbound=1292650.537782, norm of subgrad 1137.505401 dualbound = 3633969.537782, lowerbound=1292650.537782, norm of subgrad 36.485222 stepsize= 1.000000
+dualbound = 3634021.674042, lowerbound=1294167.674042, norm of subgrad 1138.162850 dualbound = 3634021.674042, lowerbound=1294167.674042, norm of subgrad 36.043533 stepsize= 1.000000
+dualbound = 3634086.051455, lowerbound=1294504.051455, norm of subgrad 1138.306660 dualbound = 3634086.051455, lowerbound=1294504.051455, norm of subgrad 36.088466 stepsize= 1.000000
+dualbound = 3634167.277387, lowerbound=1290535.277387, norm of subgrad 1136.566882 dualbound = 3634167.277387, lowerbound=1290535.277387, norm of subgrad 36.472263 stepsize= 1.000000
+dualbound = 3634228.903672, lowerbound=1297136.903672, norm of subgrad 1139.455529 dualbound = 3634228.903672, lowerbound=1297136.903672, norm of subgrad 35.827731 stepsize= 1.000000
+dualbound = 3634311.716230, lowerbound=1292162.716230, norm of subgrad 1137.272490 dualbound = 3634311.716230, lowerbound=1292162.716230, norm of subgrad 36.177515 stepsize= 1.000000
+dualbound = 3634376.333717, lowerbound=1295088.333717, norm of subgrad 1138.562398 dualbound = 3634376.333717, lowerbound=1295088.333717, norm of subgrad 36.064075 stepsize= 1.000000
+dualbound = 3634427.667060, lowerbound=1285865.667060, norm of subgrad 1134.517813 dualbound = 3634427.667060, lowerbound=1285865.667060, norm of subgrad 36.281308 stepsize= 1.000000
+dualbound = 3634477.543597, lowerbound=1299045.543597, norm of subgrad 1140.307653 dualbound = 3634477.543597, lowerbound=1299045.543597, norm of subgrad 36.136914 stepsize= 1.000000
+dualbound = 3634566.800158, lowerbound=1288568.800158, norm of subgrad 1135.667557 dualbound = 3634566.800158, lowerbound=1288568.800158, norm of subgrad 35.514174 stepsize= 1.000000
+dualbound = 3634664.728109, lowerbound=1292448.728109, norm of subgrad 1137.378885 dualbound = 3634664.728109, lowerbound=1292448.728109, norm of subgrad 35.776081 stepsize= 1.000000
+dualbound = 3634716.054584, lowerbound=1292173.054584, norm of subgrad 1137.266923 dualbound = 3634716.054584, lowerbound=1292173.054584, norm of subgrad 35.416472 stepsize= 1.000000
+dualbound = 3634777.170685, lowerbound=1291027.170685, norm of subgrad 1136.770940 dualbound = 3634777.170685, lowerbound=1291027.170685, norm of subgrad 35.806649 stepsize= 1.000000
+dualbound = 3634851.982863, lowerbound=1294002.982863, norm of subgrad 1138.068092 dualbound = 3634851.982863, lowerbound=1294002.982863, norm of subgrad 35.648453 stepsize= 1.000000
+dualbound = 3634911.822634, lowerbound=1293675.822634, norm of subgrad 1137.922591 dualbound = 3634911.822634, lowerbound=1293675.822634, norm of subgrad 35.381348 stepsize= 1.000000
+dualbound = 3634961.214941, lowerbound=1298267.214941, norm of subgrad 1139.947023 dualbound = 3634961.214941, lowerbound=1298267.214941, norm of subgrad 35.516085 stepsize= 1.000000
+dualbound = 3635039.537375, lowerbound=1293796.537375, norm of subgrad 1137.972116 dualbound = 3635039.537375, lowerbound=1293796.537375, norm of subgrad 35.529177 stepsize= 1.000000
+dualbound = 3635108.134927, lowerbound=1289745.134927, norm of subgrad 1136.214388 dualbound = 3635108.134927, lowerbound=1289745.134927, norm of subgrad 36.146889 stepsize= 1.000000
+dualbound = 3635167.342270, lowerbound=1297842.342270, norm of subgrad 1139.754071 dualbound = 3635167.342270, lowerbound=1297842.342270, norm of subgrad 35.443015 stepsize= 1.000000
+dualbound = 3635244.845089, lowerbound=1284456.845089, norm of subgrad 1133.872499 dualbound = 3635244.845089, lowerbound=1284456.845089, norm of subgrad 35.881790 stepsize= 1.000000
+dualbound = 3635297.511884, lowerbound=1295658.511884, norm of subgrad 1138.799593 dualbound = 3635297.511884, lowerbound=1295658.511884, norm of subgrad 35.477694 stepsize= 1.000000
+dualbound = 3635377.007139, lowerbound=1294380.007139, norm of subgrad 1138.231965 dualbound = 3635377.007139, lowerbound=1294380.007139, norm of subgrad 35.658032 stepsize= 1.000000
+dualbound = 3635436.494574, lowerbound=1298558.494574, norm of subgrad 1140.088371 dualbound = 3635436.494574, lowerbound=1298558.494574, norm of subgrad 36.089991 stepsize= 1.000000
+dualbound = 3635497.747421, lowerbound=1294635.747421, norm of subgrad 1138.358796 dualbound = 3635497.747421, lowerbound=1294635.747421, norm of subgrad 35.864367 stepsize= 1.000000
+dualbound = 3635541.300450, lowerbound=1298547.300450, norm of subgrad 1140.084339 dualbound = 3635541.300450, lowerbound=1298547.300450, norm of subgrad 35.896421 stepsize= 1.000000
+dualbound = 3635643.774025, lowerbound=1291330.774025, norm of subgrad 1136.898313 dualbound = 3635643.774025, lowerbound=1291330.774025, norm of subgrad 36.186649 stepsize= 1.000000
+dualbound = 3635686.156560, lowerbound=1297985.156560, norm of subgrad 1139.832074 dualbound = 3635686.156560, lowerbound=1297985.156560, norm of subgrad 35.698495 stepsize= 1.000000
+dualbound = 3635769.624807, lowerbound=1292793.624807, norm of subgrad 1137.550274 dualbound = 3635769.624807, lowerbound=1292793.624807, norm of subgrad 36.200390 stepsize= 1.000000
+dualbound = 3635805.506960, lowerbound=1295749.506960, norm of subgrad 1138.855349 dualbound = 3635805.506960, lowerbound=1295749.506960, norm of subgrad 35.747478 stepsize= 1.000000
+dualbound = 3635901.070020, lowerbound=1286701.070020, norm of subgrad 1134.885928 dualbound = 3635901.070020, lowerbound=1286701.070020, norm of subgrad 36.885811 stepsize= 1.000000
+dualbound = 3635952.710165, lowerbound=1293782.710165, norm of subgrad 1138.006024 dualbound = 3635952.710165, lowerbound=1293782.710165, norm of subgrad 36.423072 stepsize= 1.000000
+dualbound = 3636047.370339, lowerbound=1295216.370339, norm of subgrad 1138.632237 dualbound = 3636047.370339, lowerbound=1295216.370339, norm of subgrad 36.900680 stepsize= 1.000000
+dualbound = 3636095.377114, lowerbound=1296610.377114, norm of subgrad 1139.260452 dualbound = 3636095.377114, lowerbound=1296610.377114, norm of subgrad 36.769645 stepsize= 1.000000
+dualbound = 3636151.258715, lowerbound=1292699.258715, norm of subgrad 1137.537805 dualbound = 3636151.258715, lowerbound=1292699.258715, norm of subgrad 36.727124 stepsize= 1.000000
+dualbound = 3636235.828870, lowerbound=1294507.828870, norm of subgrad 1138.288992 dualbound = 3636235.828870, lowerbound=1294507.828870, norm of subgrad 35.757099 stepsize= 1.000000
+dualbound = 3636302.662564, lowerbound=1292121.662564, norm of subgrad 1137.246966 dualbound = 3636302.662564, lowerbound=1292121.662564, norm of subgrad 35.718814 stepsize= 1.000000
+dualbound = 3636385.138503, lowerbound=1295132.138503, norm of subgrad 1138.566704 dualbound = 3636385.138503, lowerbound=1295132.138503, norm of subgrad 35.839586 stepsize= 1.000000
+dualbound = 3636427.670900, lowerbound=1290219.670900, norm of subgrad 1136.390193 dualbound = 3636427.670900, lowerbound=1290219.670900, norm of subgrad 34.720778 stepsize= 1.000000
+dualbound = 3636530.373783, lowerbound=1296777.373783, norm of subgrad 1139.288538 dualbound = 3636530.373783, lowerbound=1296777.373783, norm of subgrad 36.106826 stepsize= 1.000000
+dualbound = 3636571.843491, lowerbound=1286401.843491, norm of subgrad 1134.743074 dualbound = 3636571.843491, lowerbound=1286401.843491, norm of subgrad 35.797622 stepsize= 1.000000
+dualbound = 3636618.506393, lowerbound=1294406.506393, norm of subgrad 1138.269962 dualbound = 3636618.506393, lowerbound=1294406.506393, norm of subgrad 36.036966 stepsize= 1.000000
+dualbound = 3636703.670780, lowerbound=1292193.670780, norm of subgrad 1137.262358 dualbound = 3636703.670780, lowerbound=1292193.670780, norm of subgrad 35.456514 stepsize= 1.000000
+dualbound = 3636789.521429, lowerbound=1291010.521429, norm of subgrad 1136.753941 dualbound = 3636789.521429, lowerbound=1291010.521429, norm of subgrad 35.844813 stepsize= 1.000000
+dualbound = 3636846.482517, lowerbound=1293571.482517, norm of subgrad 1137.870591 dualbound = 3636846.482517, lowerbound=1293571.482517, norm of subgrad 35.142013 stepsize= 1.000000
+dualbound = 3636925.022043, lowerbound=1289649.022043, norm of subgrad 1136.167251 dualbound = 3636925.022043, lowerbound=1289649.022043, norm of subgrad 36.132250 stepsize= 1.000000
+dualbound = 3636940.884581, lowerbound=1292269.884581, norm of subgrad 1137.348181 dualbound = 3636940.884581, lowerbound=1292269.884581, norm of subgrad 36.150554 stepsize= 1.000000
+dualbound = 3637038.355972, lowerbound=1295961.355972, norm of subgrad 1138.954940 dualbound = 3637038.355972, lowerbound=1295961.355972, norm of subgrad 36.803144 stepsize= 1.000000
+dualbound = 3637099.726350, lowerbound=1284358.726350, norm of subgrad 1133.834082 dualbound = 3637099.726350, lowerbound=1284358.726350, norm of subgrad 35.810199 stepsize= 1.000000
+dualbound = 3637172.663260, lowerbound=1293006.663260, norm of subgrad 1137.661928 dualbound = 3637172.663260, lowerbound=1293006.663260, norm of subgrad 36.618805 stepsize= 1.000000
+dualbound = 3637233.657336, lowerbound=1290462.657336, norm of subgrad 1136.515577 dualbound = 3637233.657336, lowerbound=1290462.657336, norm of subgrad 35.580811 stepsize= 1.000000
+dualbound = 3637309.769050, lowerbound=1297541.769051, norm of subgrad 1139.652477 dualbound = 3637309.769050, lowerbound=1297541.769051, norm of subgrad 36.634843 stepsize= 1.000000
+dualbound = 3637341.113328, lowerbound=1294533.113328, norm of subgrad 1138.340509 dualbound = 3637341.113328, lowerbound=1294533.113328, norm of subgrad 36.295238 stepsize= 1.000000
+dualbound = 3637442.688946, lowerbound=1298227.688946, norm of subgrad 1139.945915 dualbound = 3637442.688946, lowerbound=1298227.688946, norm of subgrad 36.750178 stepsize= 1.000000
+dualbound = 3637502.754682, lowerbound=1293557.754682, norm of subgrad 1137.904106 dualbound = 3637502.754682, lowerbound=1293557.754682, norm of subgrad 36.442636 stepsize= 1.000000
+dualbound = 3637559.556063, lowerbound=1294658.556063, norm of subgrad 1138.389896 dualbound = 3637559.556063, lowerbound=1294658.556063, norm of subgrad 36.466442 stepsize= 1.000000
+dualbound = 3637644.824363, lowerbound=1292517.824363, norm of subgrad 1137.426844 dualbound = 3637644.824363, lowerbound=1292517.824363, norm of subgrad 36.156165 stepsize= 1.000000
+dualbound = 3637703.697958, lowerbound=1290296.697958, norm of subgrad 1136.456202 dualbound = 3637703.697958, lowerbound=1290296.697958, norm of subgrad 35.984352 stepsize= 1.000000
+dualbound = 3637763.141284, lowerbound=1295165.141284, norm of subgrad 1138.607106 dualbound = 3637763.141284, lowerbound=1295165.141284, norm of subgrad 36.337905 stepsize= 1.000000
+dualbound = 3637814.199236, lowerbound=1295926.199236, norm of subgrad 1138.923702 dualbound = 3637814.199236, lowerbound=1295926.199236, norm of subgrad 35.665921 stepsize= 1.000000
+dualbound = 3637925.555859, lowerbound=1285519.555859, norm of subgrad 1134.347634 dualbound = 3637925.555859, lowerbound=1285519.555859, norm of subgrad 36.556212 stepsize= 1.000000
+dualbound = 3637969.743023, lowerbound=1294597.743023, norm of subgrad 1138.349570 dualbound = 3637969.743023, lowerbound=1294597.743023, norm of subgrad 35.863452 stepsize= 1.000000
+dualbound = 3638033.661768, lowerbound=1290684.661768, norm of subgrad 1136.653272 dualbound = 3638033.661768, lowerbound=1290684.661768, norm of subgrad 36.877076 stepsize= 1.000000
+dualbound = 3638081.339843, lowerbound=1291924.339843, norm of subgrad 1137.203297 dualbound = 3638081.339843, lowerbound=1291924.339843, norm of subgrad 36.805952 stepsize= 1.000000
+dualbound = 3638163.167797, lowerbound=1294388.167797, norm of subgrad 1138.256635 dualbound = 3638163.167797, lowerbound=1294388.167797, norm of subgrad 36.356952 stepsize= 1.000000
+dualbound = 3638256.801001, lowerbound=1295303.801001, norm of subgrad 1138.660968 dualbound = 3638256.801001, lowerbound=1295303.801001, norm of subgrad 36.587337 stepsize= 1.000000
+dualbound = 3638314.862828, lowerbound=1293865.862828, norm of subgrad 1138.016196 dualbound = 3638314.862828, lowerbound=1293865.862828, norm of subgrad 35.679992 stepsize= 1.000000
+dualbound = 3638387.108117, lowerbound=1291078.108117, norm of subgrad 1136.781909 dualbound = 3638387.108117, lowerbound=1291078.108117, norm of subgrad 35.598389 stepsize= 1.000000
+dualbound = 3638453.885273, lowerbound=1292709.885273, norm of subgrad 1137.475224 dualbound = 3638453.885273, lowerbound=1292709.885273, norm of subgrad 34.738698 stepsize= 1.000000
+dualbound = 3638542.152540, lowerbound=1296768.152540, norm of subgrad 1139.283175 dualbound = 3638542.152540, lowerbound=1296768.152540, norm of subgrad 35.864568 stepsize= 1.000000
+dualbound = 3638576.474383, lowerbound=1294067.474383, norm of subgrad 1138.135086 dualbound = 3638576.474383, lowerbound=1294067.474383, norm of subgrad 36.308702 stepsize= 1.000000
+dualbound = 3638635.048830, lowerbound=1293703.048830, norm of subgrad 1137.945099 dualbound = 3638635.048830, lowerbound=1293703.048830, norm of subgrad 35.701183 stepsize= 1.000000
+dualbound = 3638751.997161, lowerbound=1295038.997161, norm of subgrad 1138.522726 dualbound = 3638751.997161, lowerbound=1295038.997161, norm of subgrad 36.220827 stepsize= 1.000000
+dualbound = 3638792.002500, lowerbound=1290235.002500, norm of subgrad 1136.414978 dualbound = 3638792.002500, lowerbound=1290235.002500, norm of subgrad 35.270460 stepsize= 1.000000
+dualbound = 3638881.517955, lowerbound=1295970.517955, norm of subgrad 1138.908038 dualbound = 3638881.517955, lowerbound=1295970.517955, norm of subgrad 35.078704 stepsize= 1.000000
+dualbound = 3638959.307087, lowerbound=1290658.307087, norm of subgrad 1136.591530 dualbound = 3638959.307087, lowerbound=1290658.307087, norm of subgrad 35.493508 stepsize= 1.000000
+dualbound = 3638991.805350, lowerbound=1296973.805350, norm of subgrad 1139.396246 dualbound = 3638991.805350, lowerbound=1296973.805350, norm of subgrad 35.811985 stepsize= 1.000000
+dualbound = 3639056.152849, lowerbound=1292181.152849, norm of subgrad 1137.274880 dualbound = 3639056.152849, lowerbound=1292181.152849, norm of subgrad 35.739999 stepsize= 1.000000
+dualbound = 3639118.751076, lowerbound=1296843.751076, norm of subgrad 1139.314158 dualbound = 3639118.751076, lowerbound=1296843.751076, norm of subgrad 35.434421 stepsize= 1.000000
+dualbound = 3639191.989415, lowerbound=1295475.989415, norm of subgrad 1138.731746 dualbound = 3639191.989415, lowerbound=1295475.989415, norm of subgrad 36.155751 stepsize= 1.000000
+dualbound = 3639234.262437, lowerbound=1294488.262437, norm of subgrad 1138.314220 dualbound = 3639234.262437, lowerbound=1294488.262437, norm of subgrad 36.239109 stepsize= 1.000000
+dualbound = 3639322.021910, lowerbound=1288291.021910, norm of subgrad 1135.574754 dualbound = 3639322.021910, lowerbound=1288291.021910, norm of subgrad 36.424710 stepsize= 1.000000
+dualbound = 3639387.921953, lowerbound=1294630.921953, norm of subgrad 1138.329004 dualbound = 3639387.921953, lowerbound=1294630.921953, norm of subgrad 35.041405 stepsize= 1.000000
+dualbound = 3639451.625916, lowerbound=1283469.625916, norm of subgrad 1133.458701 dualbound = 3639451.625916, lowerbound=1283469.625916, norm of subgrad 36.368997 stepsize= 1.000000
+dualbound = 3639510.189619, lowerbound=1293553.189619, norm of subgrad 1137.902979 dualbound = 3639510.189619, lowerbound=1293553.189619, norm of subgrad 36.449468 stepsize= 1.000000
+dualbound = 3639578.054058, lowerbound=1295624.054058, norm of subgrad 1138.787976 dualbound = 3639578.054058, lowerbound=1295624.054058, norm of subgrad 35.803134 stepsize= 1.000000
+dualbound = 3639657.089031, lowerbound=1296101.089031, norm of subgrad 1138.993015 dualbound = 3639657.089031, lowerbound=1296101.089031, norm of subgrad 35.819478 stepsize= 1.000000
+dualbound = 3639699.545620, lowerbound=1287998.545620, norm of subgrad 1135.476352 dualbound = 3639699.545620, lowerbound=1287998.545620, norm of subgrad 36.748559 stepsize= 1.000000
+dualbound = 3639766.527005, lowerbound=1296345.527005, norm of subgrad 1139.094170 dualbound = 3639766.527005, lowerbound=1296345.527005, norm of subgrad 35.453933 stepsize= 1.000000
+dualbound = 3639858.359916, lowerbound=1294827.359916, norm of subgrad 1138.432413 dualbound = 3639858.359916, lowerbound=1294827.359916, norm of subgrad 35.955986 stepsize= 1.000000
+dualbound = 3639931.613532, lowerbound=1291771.613532, norm of subgrad 1137.094813 dualbound = 3639931.613532, lowerbound=1291771.613532, norm of subgrad 35.864378 stepsize= 1.000000
+dualbound = 3639946.714067, lowerbound=1293277.714067, norm of subgrad 1137.793792 dualbound = 3639946.714067, lowerbound=1293277.714067, norm of subgrad 36.222928 stepsize= 1.000000
+dualbound = 3640050.273231, lowerbound=1292165.273231, norm of subgrad 1137.298674 dualbound = 3640050.273231, lowerbound=1292165.273231, norm of subgrad 37.236530 stepsize= 1.000000
+dualbound = 3640087.313137, lowerbound=1291680.313137, norm of subgrad 1137.088525 dualbound = 3640087.313137, lowerbound=1291680.313137, norm of subgrad 36.428559 stepsize= 1.000000
+dualbound = 3640182.022423, lowerbound=1296651.022423, norm of subgrad 1139.238791 dualbound = 3640182.022423, lowerbound=1296651.022423, norm of subgrad 36.176087 stepsize= 1.000000
+dualbound = 3640258.716358, lowerbound=1294937.716358, norm of subgrad 1138.456726 dualbound = 3640258.716358, lowerbound=1294937.716358, norm of subgrad 34.967041 stepsize= 1.000000
+dualbound = 3640342.584409, lowerbound=1289399.584409, norm of subgrad 1136.016542 dualbound = 3640342.584409, lowerbound=1289399.584409, norm of subgrad 34.897966 stepsize= 1.000000
+dualbound = 3640409.446351, lowerbound=1294273.446351, norm of subgrad 1138.192623 dualbound = 3640409.446351, lowerbound=1294273.446351, norm of subgrad 35.719210 stepsize= 1.000000
+dualbound = 3640455.904565, lowerbound=1292353.904565, norm of subgrad 1137.352586 dualbound = 3640455.904565, lowerbound=1292353.904565, norm of subgrad 35.545157 stepsize= 1.000000
+dualbound = 3640526.002082, lowerbound=1295910.002082, norm of subgrad 1138.905616 dualbound = 3640526.002082, lowerbound=1295910.002082, norm of subgrad 35.582264 stepsize= 1.000000
+dualbound = 3640577.263651, lowerbound=1297416.263651, norm of subgrad 1139.596535 dualbound = 3640577.263651, lowerbound=1297416.263651, norm of subgrad 36.266535 stepsize= 1.000000
+dualbound = 3640638.339287, lowerbound=1293077.339287, norm of subgrad 1137.698703 dualbound = 3640638.339287, lowerbound=1293077.339287, norm of subgrad 36.634350 stepsize= 1.000000
+dualbound = 3640704.966510, lowerbound=1290986.966510, norm of subgrad 1136.772170 dualbound = 3640704.966510, lowerbound=1290986.966510, norm of subgrad 36.477763 stepsize= 1.000000
+dualbound = 3640777.066368, lowerbound=1297606.066368, norm of subgrad 1139.681125 dualbound = 3640777.066368, lowerbound=1297606.066368, norm of subgrad 36.593713 stepsize= 1.000000
+dualbound = 3640842.854746, lowerbound=1291031.854747, norm of subgrad 1136.786196 dualbound = 3640842.854746, lowerbound=1291031.854747, norm of subgrad 36.287579 stepsize= 1.000000
+dualbound = 3640904.431489, lowerbound=1295458.431489, norm of subgrad 1138.753016 dualbound = 3640904.431489, lowerbound=1295458.431489, norm of subgrad 36.899549 stepsize= 1.000000
+dualbound = 3640977.457059, lowerbound=1295676.457059, norm of subgrad 1138.818887 dualbound = 3640977.457059, lowerbound=1295676.457059, norm of subgrad 36.125138 stepsize= 1.000000
+dualbound = 3641040.937319, lowerbound=1293382.937319, norm of subgrad 1137.806195 dualbound = 3641040.937319, lowerbound=1293382.937319, norm of subgrad 35.825693 stepsize= 1.000000
+dualbound = 3641107.131628, lowerbound=1291080.131628, norm of subgrad 1136.788957 dualbound = 3641107.131628, lowerbound=1291080.131628, norm of subgrad 35.709863 stepsize= 1.000000
+dualbound = 3641179.813870, lowerbound=1291290.813870, norm of subgrad 1136.881618 dualbound = 3641179.813870, lowerbound=1291290.813870, norm of subgrad 35.800590 stepsize= 1.000000
+dualbound = 3641263.273873, lowerbound=1293905.273873, norm of subgrad 1138.025603 dualbound = 3641263.273873, lowerbound=1293905.273873, norm of subgrad 35.783516 stepsize= 1.000000
+dualbound = 3641308.314976, lowerbound=1295378.314976, norm of subgrad 1138.689297 dualbound = 3641308.314976, lowerbound=1295378.314976, norm of subgrad 35.777662 stepsize= 1.000000
+dualbound = 3641379.689498, lowerbound=1294536.689498, norm of subgrad 1138.319678 dualbound = 3641379.689498, lowerbound=1294536.689498, norm of subgrad 36.143803 stepsize= 1.000000
+dualbound = 3641464.520786, lowerbound=1292683.520786, norm of subgrad 1137.487372 dualbound = 3641464.520786, lowerbound=1292683.520786, norm of subgrad 35.760751 stepsize= 1.000000
+dualbound = 3641520.694336, lowerbound=1290679.694336, norm of subgrad 1136.623814 dualbound = 3641520.694336, lowerbound=1290679.694336, norm of subgrad 35.918986 stepsize= 1.000000
+dualbound = 3641599.520334, lowerbound=1299413.520334, norm of subgrad 1140.446632 dualbound = 3641599.520334, lowerbound=1299413.520334, norm of subgrad 35.830518 stepsize= 1.000000
+dualbound = 3641657.245761, lowerbound=1290294.245761, norm of subgrad 1136.424765 dualbound = 3641657.245761, lowerbound=1290294.245761, norm of subgrad 34.996077 stepsize= 1.000000
+dualbound = 3641735.814233, lowerbound=1292983.814233, norm of subgrad 1137.647491 dualbound = 3641735.814233, lowerbound=1292983.814233, norm of subgrad 36.559109 stepsize= 1.000000
+dualbound = 3641772.073858, lowerbound=1293243.073858, norm of subgrad 1137.746929 dualbound = 3641772.073858, lowerbound=1293243.073858, norm of subgrad 35.514217 stepsize= 1.000000
+dualbound = 3641857.166009, lowerbound=1291657.166009, norm of subgrad 1137.055041 dualbound = 3641857.166009, lowerbound=1291657.166009, norm of subgrad 36.360585 stepsize= 1.000000
+dualbound = 3641931.636652, lowerbound=1285986.636652, norm of subgrad 1134.550412 dualbound = 3641931.636652, lowerbound=1285986.636652, norm of subgrad 35.950948 stepsize= 1.000000
+dualbound = 3641984.591210, lowerbound=1295230.591210, norm of subgrad 1138.619599 dualbound = 3641984.591210, lowerbound=1295230.591210, norm of subgrad 35.734501 stepsize= 1.000000
+dualbound = 3642045.144392, lowerbound=1296852.144392, norm of subgrad 1139.330130 dualbound = 3642045.144392, lowerbound=1296852.144392, norm of subgrad 35.798787 stepsize= 1.000000
+dualbound = 3642147.690807, lowerbound=1287924.690807, norm of subgrad 1135.399793 dualbound = 3642147.690807, lowerbound=1287924.690807, norm of subgrad 36.201470 stepsize= 1.000000
+dualbound = 3642165.622404, lowerbound=1295820.622404, norm of subgrad 1138.878230 dualbound = 3642165.622404, lowerbound=1295820.622404, norm of subgrad 35.226859 stepsize= 1.000000
+dualbound = 3642296.625685, lowerbound=1295827.625685, norm of subgrad 1138.844865 dualbound = 3642296.625685, lowerbound=1295827.625685, norm of subgrad 35.651133 stepsize= 1.000000
+dualbound = 3642338.680975, lowerbound=1297138.680975, norm of subgrad 1139.439635 dualbound = 3642338.680975, lowerbound=1297138.680975, norm of subgrad 35.015072 stepsize= 1.000000
+dualbound = 3642397.236574, lowerbound=1291970.236574, norm of subgrad 1137.175992 dualbound = 3642397.236574, lowerbound=1291970.236574, norm of subgrad 35.462030 stepsize= 1.000000
+dualbound = 3642466.818077, lowerbound=1293399.818077, norm of subgrad 1137.830751 dualbound = 3642466.818077, lowerbound=1293399.818077, norm of subgrad 36.449712 stepsize= 1.000000
+dualbound = 3642511.335010, lowerbound=1295265.335010, norm of subgrad 1138.679645 dualbound = 3642511.335010, lowerbound=1295265.335010, norm of subgrad 37.020493 stepsize= 1.000000
+dualbound = 3642548.401165, lowerbound=1296316.401165, norm of subgrad 1139.147225 dualbound = 3642548.401165, lowerbound=1296316.401165, norm of subgrad 37.108842 stepsize= 1.000000
+dualbound = 3642661.039578, lowerbound=1294881.039578, norm of subgrad 1138.496394 dualbound = 3642661.039578, lowerbound=1294881.039578, norm of subgrad 37.491845 stepsize= 1.000000
+dualbound = 3642697.197238, lowerbound=1291217.197238, norm of subgrad 1136.882227 dualbound = 3642697.197238, lowerbound=1291217.197238, norm of subgrad 36.333974 stepsize= 1.000000
+dualbound = 3642777.171620, lowerbound=1293987.171620, norm of subgrad 1138.094096 dualbound = 3642777.171620, lowerbound=1293987.171620, norm of subgrad 36.755603 stepsize= 1.000000
+dualbound = 3642862.090367, lowerbound=1294817.090367, norm of subgrad 1138.439761 dualbound = 3642862.090367, lowerbound=1294817.090367, norm of subgrad 36.234221 stepsize= 1.000000
+dualbound = 3642926.922118, lowerbound=1293710.922118, norm of subgrad 1137.926150 dualbound = 3642926.922118, lowerbound=1293710.922118, norm of subgrad 35.068957 stepsize= 1.000000
+dualbound = 3643003.779207, lowerbound=1290013.779207, norm of subgrad 1136.319840 dualbound = 3643003.779207, lowerbound=1290013.779207, norm of subgrad 35.858850 stepsize= 1.000000
+dualbound = 3643066.475558, lowerbound=1294821.475558, norm of subgrad 1138.427194 dualbound = 3643066.475558, lowerbound=1294821.475558, norm of subgrad 35.464015 stepsize= 1.000000
+dualbound = 3643111.161776, lowerbound=1292333.161776, norm of subgrad 1137.344786 dualbound = 3643111.161776, lowerbound=1292333.161776, norm of subgrad 35.562427 stepsize= 1.000000
+dualbound = 3643194.500147, lowerbound=1287148.500147, norm of subgrad 1135.031057 dualbound = 3643194.500147, lowerbound=1287148.500147, norm of subgrad 35.076180 stepsize= 1.000000
+dualbound = 3643280.561626, lowerbound=1292262.561626, norm of subgrad 1137.306714 dualbound = 3643280.561626, lowerbound=1292262.561626, norm of subgrad 35.917426 stepsize= 1.000000
+dualbound = 3643305.454495, lowerbound=1290618.454495, norm of subgrad 1136.599954 dualbound = 3643305.454495, lowerbound=1290618.454495, norm of subgrad 35.579388 stepsize= 1.000000
+dualbound = 3643388.542541, lowerbound=1288953.542541, norm of subgrad 1135.852342 dualbound = 3643388.542541, lowerbound=1288953.542541, norm of subgrad 35.917796 stepsize= 1.000000
+dualbound = 3643457.800523, lowerbound=1295355.800523, norm of subgrad 1138.708830 dualbound = 3643457.800523, lowerbound=1295355.800523, norm of subgrad 37.030501 stepsize= 1.000000
+dualbound = 3643501.672472, lowerbound=1291026.672472, norm of subgrad 1136.797111 dualbound = 3643501.672472, lowerbound=1291026.672472, norm of subgrad 36.398790 stepsize= 1.000000
+dualbound = 3643579.776041, lowerbound=1294513.776041, norm of subgrad 1138.322352 dualbound = 3643579.776041, lowerbound=1294513.776041, norm of subgrad 36.634732 stepsize= 1.000000
+dualbound = 3643645.452840, lowerbound=1292644.452840, norm of subgrad 1137.485584 dualbound = 3643645.452840, lowerbound=1292644.452840, norm of subgrad 35.981618 stepsize= 1.000000
+dualbound = 3643725.822837, lowerbound=1292248.822837, norm of subgrad 1137.321337 dualbound = 3643725.822837, lowerbound=1292248.822837, norm of subgrad 36.487943 stepsize= 1.000000
+dualbound = 3643791.118788, lowerbound=1298006.118788, norm of subgrad 1139.840830 dualbound = 3643791.118788, lowerbound=1298006.118788, norm of subgrad 36.004110 stepsize= 1.000000
+dualbound = 3643874.938272, lowerbound=1297141.938272, norm of subgrad 1139.442819 dualbound = 3643874.938272, lowerbound=1297141.938272, norm of subgrad 35.662578 stepsize= 1.000000
+dualbound = 3643921.582050, lowerbound=1294224.582050, norm of subgrad 1138.198832 dualbound = 3643921.582050, lowerbound=1294224.582050, norm of subgrad 36.313135 stepsize= 1.000000
+dualbound = 3643987.337283, lowerbound=1295655.337283, norm of subgrad 1138.828054 dualbound = 3643987.337283, lowerbound=1295655.337283, norm of subgrad 36.602667 stepsize= 1.000000
+dualbound = 3644070.629669, lowerbound=1295546.629669, norm of subgrad 1138.754859 dualbound = 3644070.629669, lowerbound=1295546.629669, norm of subgrad 36.045699 stepsize= 1.000000
+dualbound = 3644121.441918, lowerbound=1293995.441918, norm of subgrad 1138.099047 dualbound = 3644121.441918, lowerbound=1293995.441918, norm of subgrad 36.397970 stepsize= 1.000000
+dualbound = 3644193.915570, lowerbound=1290200.915570, norm of subgrad 1136.406580 dualbound = 3644193.915570, lowerbound=1290200.915570, norm of subgrad 35.937079 stepsize= 1.000000
+dualbound = 3644256.530810, lowerbound=1292131.530810, norm of subgrad 1137.267572 dualbound = 3644256.530810, lowerbound=1292131.530810, norm of subgrad 36.174787 stepsize= 1.000000
+dualbound = 3644340.797069, lowerbound=1296959.797069, norm of subgrad 1139.408968 dualbound = 3644340.797069, lowerbound=1296959.797069, norm of subgrad 37.111538 stepsize= 1.000000
+dualbound = 3644388.460048, lowerbound=1293626.460048, norm of subgrad 1137.889037 dualbound = 3644388.460048, lowerbound=1293626.460048, norm of subgrad 34.823311 stepsize= 1.000000
+dualbound = 3644488.280143, lowerbound=1293810.280143, norm of subgrad 1137.978594 dualbound = 3644488.280143, lowerbound=1293810.280143, norm of subgrad 35.844387 stepsize= 1.000000
+dualbound = 3644547.487788, lowerbound=1291960.487788, norm of subgrad 1137.187534 dualbound = 3644547.487788, lowerbound=1291960.487788, norm of subgrad 35.975098 stepsize= 1.000000
+dualbound = 3644598.278778, lowerbound=1299471.278778, norm of subgrad 1140.482915 dualbound = 3644598.278778, lowerbound=1299471.278778, norm of subgrad 35.788140 stepsize= 1.000000
+dualbound = 3644666.932948, lowerbound=1292685.932948, norm of subgrad 1137.491069 dualbound = 3644666.932948, lowerbound=1292685.932948, norm of subgrad 35.618172 stepsize= 1.000000
+dualbound = 3644748.879619, lowerbound=1296626.879619, norm of subgrad 1139.223806 dualbound = 3644748.879619, lowerbound=1296626.879619, norm of subgrad 35.860099 stepsize= 1.000000
+dualbound = 3644808.068708, lowerbound=1288766.068708, norm of subgrad 1135.768933 dualbound = 3644808.068708, lowerbound=1288766.068708, norm of subgrad 35.555437 stepsize= 1.000000
+dualbound = 3644872.793784, lowerbound=1298566.793784, norm of subgrad 1140.066136 dualbound = 3644872.793784, lowerbound=1298566.793784, norm of subgrad 35.337304 stepsize= 1.000000
+dualbound = 3644926.735047, lowerbound=1284187.735047, norm of subgrad 1133.783813 dualbound = 3644926.735047, lowerbound=1284187.735047, norm of subgrad 36.495770 stepsize= 1.000000
+dualbound = 3644989.876203, lowerbound=1295469.876203, norm of subgrad 1138.735209 dualbound = 3644989.876203, lowerbound=1295469.876203, norm of subgrad 36.209683 stepsize= 1.000000
+dualbound = 3645039.910785, lowerbound=1288942.910785, norm of subgrad 1135.879356 dualbound = 3645039.910785, lowerbound=1288942.910785, norm of subgrad 36.455927 stepsize= 1.000000
+dualbound = 3645130.489950, lowerbound=1295115.489950, norm of subgrad 1138.562466 dualbound = 3645130.489950, lowerbound=1295115.489950, norm of subgrad 36.049676 stepsize= 1.000000
+dualbound = 3645207.877138, lowerbound=1289879.877138, norm of subgrad 1136.282481 dualbound = 3645207.877138, lowerbound=1289879.877138, norm of subgrad 36.542950 stepsize= 1.000000
+dualbound = 3645237.221629, lowerbound=1298496.221629, norm of subgrad 1140.085620 dualbound = 3645237.221629, lowerbound=1298496.221629, norm of subgrad 36.446461 stepsize= 1.000000
+dualbound = 3645325.640779, lowerbound=1295335.640779, norm of subgrad 1138.671437 dualbound = 3645325.640779, lowerbound=1295335.640779, norm of subgrad 36.406306 stepsize= 1.000000
+dualbound = 3645414.895927, lowerbound=1296689.895927, norm of subgrad 1139.256291 dualbound = 3645414.895927, lowerbound=1296689.895927, norm of subgrad 36.114473 stepsize= 1.000000
+dualbound = 3645460.174354, lowerbound=1290684.174354, norm of subgrad 1136.607309 dualbound = 3645460.174354, lowerbound=1290684.174354, norm of subgrad 35.174969 stepsize= 1.000000
+dualbound = 3645532.925258, lowerbound=1292807.925258, norm of subgrad 1137.564031 dualbound = 3645532.925258, lowerbound=1292807.925258, norm of subgrad 36.287062 stepsize= 1.000000
+dualbound = 3645598.895539, lowerbound=1291984.895539, norm of subgrad 1137.171445 dualbound = 3645598.895539, lowerbound=1291984.895539, norm of subgrad 35.213212 stepsize= 1.000000
+dualbound = 3645698.479644, lowerbound=1297552.479644, norm of subgrad 1139.592681 dualbound = 3645698.479644, lowerbound=1297552.479644, norm of subgrad 34.908224 stepsize= 1.000000
+dualbound = 3645763.789289, lowerbound=1293444.789289, norm of subgrad 1137.817995 dualbound = 3645763.789289, lowerbound=1293444.789289, norm of subgrad 35.359718 stepsize= 1.000000
+dualbound = 3645810.749213, lowerbound=1295089.749213, norm of subgrad 1138.558628 dualbound = 3645810.749213, lowerbound=1295089.749213, norm of subgrad 35.678564 stepsize= 1.000000
+dualbound = 3645860.176269, lowerbound=1286725.176269, norm of subgrad 1134.907122 dualbound = 3645860.176269, lowerbound=1286725.176269, norm of subgrad 36.584519 stepsize= 1.000000
+dualbound = 3645931.160445, lowerbound=1296703.160445, norm of subgrad 1139.281423 dualbound = 3645931.160445, lowerbound=1296703.160445, norm of subgrad 36.468948 stepsize= 1.000000
+dualbound = 3646010.124565, lowerbound=1293515.124565, norm of subgrad 1137.880101 dualbound = 3646010.124565, lowerbound=1293515.124565, norm of subgrad 36.537161 stepsize= 1.000000
+dualbound = 3646066.193123, lowerbound=1297481.193123, norm of subgrad 1139.606596 dualbound = 3646066.193123, lowerbound=1297481.193123, norm of subgrad 35.750085 stepsize= 1.000000
+dualbound = 3646137.549585, lowerbound=1291230.549585, norm of subgrad 1136.898214 dualbound = 3646137.549585, lowerbound=1291230.549585, norm of subgrad 37.126223 stepsize= 1.000000
+dualbound = 3646191.110716, lowerbound=1297409.110716, norm of subgrad 1139.591642 dualbound = 3646191.110716, lowerbound=1297409.110716, norm of subgrad 36.243084 stepsize= 1.000000
+dualbound = 3646267.751362, lowerbound=1291637.751362, norm of subgrad 1137.053979 dualbound = 3646267.751362, lowerbound=1291637.751362, norm of subgrad 36.477947 stepsize= 1.000000
+dualbound = 3646333.632039, lowerbound=1296722.632039, norm of subgrad 1139.307962 dualbound = 3646333.632039, lowerbound=1296722.632039, norm of subgrad 36.957823 stepsize= 1.000000
+dualbound = 3646380.394177, lowerbound=1292513.394177, norm of subgrad 1137.430611 dualbound = 3646380.394177, lowerbound=1292513.394177, norm of subgrad 35.801706 stepsize= 1.000000
+dualbound = 3646473.971531, lowerbound=1292995.971531, norm of subgrad 1137.663382 dualbound = 3646473.971531, lowerbound=1292995.971531, norm of subgrad 37.088777 stepsize= 1.000000
+dualbound = 3646517.603692, lowerbound=1295993.603692, norm of subgrad 1138.964268 dualbound = 3646517.603692, lowerbound=1295993.603692, norm of subgrad 35.911449 stepsize= 1.000000
+dualbound = 3646604.013642, lowerbound=1285261.013642, norm of subgrad 1134.208981 dualbound = 3646604.013642, lowerbound=1285261.013642, norm of subgrad 35.431765 stepsize= 1.000000
+dualbound = 3646675.223296, lowerbound=1302310.223296, norm of subgrad 1141.736057 dualbound = 3646675.223296, lowerbound=1302310.223296, norm of subgrad 36.362201 stepsize= 1.000000
+dualbound = 3646728.629923, lowerbound=1293804.629923, norm of subgrad 1138.004670 dualbound = 3646728.629923, lowerbound=1293804.629923, norm of subgrad 36.102723 stepsize= 1.000000
+dualbound = 3646778.881341, lowerbound=1288595.881341, norm of subgrad 1135.718223 dualbound = 3646778.881341, lowerbound=1288595.881341, norm of subgrad 36.197395 stepsize= 1.000000
+dualbound = 3646873.922044, lowerbound=1292830.922044, norm of subgrad 1137.536778 dualbound = 3646873.922044, lowerbound=1292830.922044, norm of subgrad 35.412437 stepsize= 1.000000
+dualbound = 3646937.850016, lowerbound=1294138.850016, norm of subgrad 1138.157217 dualbound = 3646937.850016, lowerbound=1294138.850016, norm of subgrad 36.427023 stepsize= 1.000000
+dualbound = 3646994.536215, lowerbound=1293711.536215, norm of subgrad 1137.967283 dualbound = 3646994.536215, lowerbound=1293711.536215, norm of subgrad 36.258602 stepsize= 1.000000
+dualbound = 3647066.600392, lowerbound=1291379.600392, norm of subgrad 1136.908792 dualbound = 3647066.600392, lowerbound=1291379.600392, norm of subgrad 35.412769 stepsize= 1.000000
+dualbound = 3647146.970355, lowerbound=1298359.970355, norm of subgrad 1139.983759 dualbound = 3647146.970355, lowerbound=1298359.970355, norm of subgrad 35.824153 stepsize= 1.000000
+dualbound = 3647201.340347, lowerbound=1291148.340347, norm of subgrad 1136.808841 dualbound = 3647201.340347, lowerbound=1291148.340347, norm of subgrad 35.218887 stepsize= 1.000000
+dualbound = 3647280.827156, lowerbound=1292035.827156, norm of subgrad 1137.210107 dualbound = 3647280.827156, lowerbound=1292035.827156, norm of subgrad 35.923346 stepsize= 1.000000
+dualbound = 3647322.063349, lowerbound=1299489.063349, norm of subgrad 1140.488081 dualbound = 3647322.063349, lowerbound=1299489.063349, norm of subgrad 35.570159 stepsize= 1.000000
+dualbound = 3647405.714603, lowerbound=1293539.714603, norm of subgrad 1137.896179 dualbound = 3647405.714603, lowerbound=1293539.714603, norm of subgrad 36.764810 stepsize= 1.000000
+dualbound = 3647451.105503, lowerbound=1295561.105503, norm of subgrad 1138.779656 dualbound = 3647451.105503, lowerbound=1295561.105503, norm of subgrad 36.102505 stepsize= 1.000000
+dualbound = 3647525.808073, lowerbound=1293169.808073, norm of subgrad 1137.730991 dualbound = 3647525.808073, lowerbound=1293169.808073, norm of subgrad 36.560943 stepsize= 1.000000
+dualbound = 3647610.071168, lowerbound=1291887.071168, norm of subgrad 1137.141183 dualbound = 3647610.071168, lowerbound=1291887.071168, norm of subgrad 35.878449 stepsize= 1.000000
+dualbound = 3647689.685155, lowerbound=1292388.685155, norm of subgrad 1137.363040 dualbound = 3647689.685155, lowerbound=1292388.685155, norm of subgrad 35.855460 stepsize= 1.000000
+dualbound = 3647724.096033, lowerbound=1296627.096033, norm of subgrad 1139.232240 dualbound = 3647724.096033, lowerbound=1296627.096033, norm of subgrad 35.459990 stepsize= 1.000000
+dualbound = 3647821.729272, lowerbound=1291424.729272, norm of subgrad 1136.911487 dualbound = 3647821.729272, lowerbound=1291424.729272, norm of subgrad 35.222624 stepsize= 1.000000
+dualbound = 3647872.606052, lowerbound=1294708.606052, norm of subgrad 1138.402656 dualbound = 3647872.606052, lowerbound=1294708.606052, norm of subgrad 36.095384 stepsize= 1.000000
+dualbound = 3647925.544951, lowerbound=1291409.544951, norm of subgrad 1136.961541 dualbound = 3647925.544951, lowerbound=1291409.544951, norm of subgrad 36.399710 stepsize= 1.000000
+dualbound = 3647971.105888, lowerbound=1297158.105888, norm of subgrad 1139.474926 dualbound = 3647971.105888, lowerbound=1297158.105888, norm of subgrad 35.924378 stepsize= 1.000000
+dualbound = 3648064.911767, lowerbound=1296194.911767, norm of subgrad 1139.039908 dualbound = 3648064.911767, lowerbound=1296194.911767, norm of subgrad 36.205053 stepsize= 1.000000
+dualbound = 3648118.640018, lowerbound=1298506.640018, norm of subgrad 1140.063437 dualbound = 3648118.640018, lowerbound=1298506.640018, norm of subgrad 35.940621 stepsize= 1.000000
+dualbound = 3648198.924197, lowerbound=1293229.924197, norm of subgrad 1137.749500 dualbound = 3648198.924197, lowerbound=1293229.924197, norm of subgrad 36.390716 stepsize= 1.000000
+dualbound = 3648237.157624, lowerbound=1294819.157624, norm of subgrad 1138.467021 dualbound = 3648237.157624, lowerbound=1294819.157624, norm of subgrad 36.417488 stepsize= 1.000000
+dualbound = 3648302.014088, lowerbound=1292766.014088, norm of subgrad 1137.542533 dualbound = 3648302.014088, lowerbound=1292766.014088, norm of subgrad 36.081248 stepsize= 1.000000
+dualbound = 3648391.050849, lowerbound=1293599.050849, norm of subgrad 1137.909070 dualbound = 3648391.050849, lowerbound=1293599.050849, norm of subgrad 36.428516 stepsize= 1.000000
+dualbound = 3648480.228249, lowerbound=1293513.228249, norm of subgrad 1137.870040 dualbound = 3648480.228249, lowerbound=1293513.228249, norm of subgrad 36.389248 stepsize= 1.000000
+dualbound = 3648517.980329, lowerbound=1293715.980329, norm of subgrad 1137.972311 dualbound = 3648517.980329, lowerbound=1293715.980329, norm of subgrad 36.093657 stepsize= 1.000000
+dualbound = 3648606.176450, lowerbound=1289509.176450, norm of subgrad 1136.075339 dualbound = 3648606.176450, lowerbound=1289509.176450, norm of subgrad 35.301503 stepsize= 1.000000
+dualbound = 3648692.338391, lowerbound=1290840.338391, norm of subgrad 1136.680843 dualbound = 3648692.338391, lowerbound=1290840.338391, norm of subgrad 35.904901 stepsize= 1.000000
+dualbound = 3648733.715862, lowerbound=1295203.715862, norm of subgrad 1138.597258 dualbound = 3648733.715862, lowerbound=1295203.715862, norm of subgrad 35.233187 stepsize= 1.000000
+dualbound = 3648822.964096, lowerbound=1293803.964096, norm of subgrad 1137.963956 dualbound = 3648822.964096, lowerbound=1293803.964096, norm of subgrad 35.316402 stepsize= 1.000000
+dualbound = 3648887.991940, lowerbound=1299423.991940, norm of subgrad 1140.447716 dualbound = 3648887.991940, lowerbound=1299423.991940, norm of subgrad 35.525031 stepsize= 1.000000
+dualbound = 3648935.190157, lowerbound=1289213.190157, norm of subgrad 1135.959150 dualbound = 3648935.190157, lowerbound=1289213.190157, norm of subgrad 35.173829 stepsize= 1.000000
+dualbound = 3648996.277341, lowerbound=1297771.277341, norm of subgrad 1139.727282 dualbound = 3648996.277341, lowerbound=1297771.277341, norm of subgrad 35.610212 stepsize= 1.000000
+dualbound = 3649061.605833, lowerbound=1291767.605833, norm of subgrad 1137.096568 dualbound = 3649061.605833, lowerbound=1291767.605833, norm of subgrad 35.865422 stepsize= 1.000000
+dualbound = 3649129.608894, lowerbound=1295680.608894, norm of subgrad 1138.840906 dualbound = 3649129.608894, lowerbound=1295680.608894, norm of subgrad 36.687914 stepsize= 1.000000
+dualbound = 3649191.984780, lowerbound=1299589.984780, norm of subgrad 1140.551176 dualbound = 3649191.984780, lowerbound=1299589.984780, norm of subgrad 36.460607 stepsize= 1.000000
+dualbound = 3649242.776743, lowerbound=1287844.776743, norm of subgrad 1135.380895 dualbound = 3649242.776743, lowerbound=1287844.776743, norm of subgrad 35.997110 stepsize= 1.000000
+dualbound = 3649322.475320, lowerbound=1295828.475320, norm of subgrad 1138.889141 dualbound = 3649322.475320, lowerbound=1295828.475320, norm of subgrad 36.327656 stepsize= 1.000000
+dualbound = 3649395.185128, lowerbound=1293850.185128, norm of subgrad 1138.018535 dualbound = 3649395.185128, lowerbound=1293850.185128, norm of subgrad 36.176094 stepsize= 1.000000
+dualbound = 3649452.687725, lowerbound=1295868.687725, norm of subgrad 1138.919087 dualbound = 3649452.687725, lowerbound=1295868.687725, norm of subgrad 36.407452 stepsize= 1.000000
+dualbound = 3649509.395040, lowerbound=1293692.395040, norm of subgrad 1137.965024 dualbound = 3649509.395040, lowerbound=1293692.395040, norm of subgrad 36.451438 stepsize= 1.000000
+dualbound = 3649587.922219, lowerbound=1299563.922219, norm of subgrad 1140.504240 dualbound = 3649587.922219, lowerbound=1299563.922219, norm of subgrad 35.560191 stepsize= 1.000000
+dualbound = 3649675.508019, lowerbound=1292090.508019, norm of subgrad 1137.230631 dualbound = 3649675.508019, lowerbound=1292090.508019, norm of subgrad 35.924724 stepsize= 1.000000
+dualbound = 3649726.453411, lowerbound=1297931.453411, norm of subgrad 1139.798865 dualbound = 3649726.453411, lowerbound=1297931.453411, norm of subgrad 35.509793 stepsize= 1.000000
+dualbound = 3649794.663723, lowerbound=1297294.663723, norm of subgrad 1139.505886 dualbound = 3649794.663723, lowerbound=1297294.663723, norm of subgrad 35.315865 stepsize= 1.000000
+dualbound = 3649856.713439, lowerbound=1291193.713439, norm of subgrad 1136.864422 dualbound = 3649856.713439, lowerbound=1291193.713439, norm of subgrad 36.456134 stepsize= 1.000000
+dualbound = 3649954.048219, lowerbound=1292228.048219, norm of subgrad 1137.296816 dualbound = 3649954.048219, lowerbound=1292228.048219, norm of subgrad 36.239961 stepsize= 1.000000
+dualbound = 3649979.955993, lowerbound=1298208.955993, norm of subgrad 1139.905240 dualbound = 3649979.955993, lowerbound=1298208.955993, norm of subgrad 34.654116 stepsize= 1.000000
+dualbound = 3650084.878699, lowerbound=1291849.878699, norm of subgrad 1137.145056 dualbound = 3650084.878699, lowerbound=1291849.878699, norm of subgrad 36.795689 stepsize= 1.000000
+dualbound = 3650113.296478, lowerbound=1298586.296478, norm of subgrad 1140.104950 dualbound = 3650113.296478, lowerbound=1298586.296478, norm of subgrad 35.796896 stepsize= 1.000000
+dualbound = 3650178.786518, lowerbound=1291257.786518, norm of subgrad 1136.897879 dualbound = 3650178.786518, lowerbound=1291257.786518, norm of subgrad 36.667288 stepsize= 1.000000
+dualbound = 3650253.767808, lowerbound=1294833.767808, norm of subgrad 1138.438741 dualbound = 3650253.767808, lowerbound=1294833.767808, norm of subgrad 35.832685 stepsize= 1.000000
+dualbound = 3650347.880154, lowerbound=1292483.880154, norm of subgrad 1137.415439 dualbound = 3650347.880154, lowerbound=1292483.880154, norm of subgrad 36.388355 stepsize= 1.000000
+dualbound = 3650393.669154, lowerbound=1295205.669154, norm of subgrad 1138.585381 dualbound = 3650393.669154, lowerbound=1295205.669154, norm of subgrad 34.882503 stepsize= 1.000000
+dualbound = 3650484.689322, lowerbound=1296942.689322, norm of subgrad 1139.357139 dualbound = 3650484.689322, lowerbound=1296942.689322, norm of subgrad 35.819271 stepsize= 1.000000
+dualbound = 3650527.634432, lowerbound=1294567.634432, norm of subgrad 1138.317458 dualbound = 3650527.634432, lowerbound=1294567.634432, norm of subgrad 35.241242 stepsize= 1.000000
+dualbound = 3650592.019743, lowerbound=1295786.019743, norm of subgrad 1138.883673 dualbound = 3650592.019743, lowerbound=1295786.019743, norm of subgrad 36.529239 stepsize= 1.000000
+dualbound = 3650657.395082, lowerbound=1293450.395082, norm of subgrad 1137.834960 dualbound = 3650657.395082, lowerbound=1293450.395082, norm of subgrad 35.824228 stepsize= 1.000000
+dualbound = 3650735.796530, lowerbound=1291460.796530, norm of subgrad 1136.966049 dualbound = 3650735.796530, lowerbound=1291460.796530, norm of subgrad 36.185653 stepsize= 1.000000
+dualbound = 3650781.099719, lowerbound=1291620.099719, norm of subgrad 1137.052813 dualbound = 3650781.099719, lowerbound=1291620.099719, norm of subgrad 36.253320 stepsize= 1.000000
+dualbound = 3650850.111978, lowerbound=1293871.111978, norm of subgrad 1138.014548 dualbound = 3650850.111978, lowerbound=1293871.111978, norm of subgrad 35.707314 stepsize= 1.000000
+dualbound = 3650912.694139, lowerbound=1293954.694139, norm of subgrad 1138.073677 dualbound = 3650912.694139, lowerbound=1293954.694139, norm of subgrad 36.326053 stepsize= 1.000000
+dualbound = 3650975.601043, lowerbound=1294658.601043, norm of subgrad 1138.387281 dualbound = 3650975.601043, lowerbound=1294658.601043, norm of subgrad 36.467889 stepsize= 1.000000
+dualbound = 3651058.354204, lowerbound=1294216.354204, norm of subgrad 1138.161392 dualbound = 3651058.354204, lowerbound=1294216.354204, norm of subgrad 35.745673 stepsize= 1.000000
+dualbound = 3651146.498090, lowerbound=1296890.498090, norm of subgrad 1139.361443 dualbound = 3651146.498090, lowerbound=1296890.498090, norm of subgrad 36.635282 stepsize= 1.000000
+dualbound = 3651180.351859, lowerbound=1287760.351859, norm of subgrad 1135.367056 dualbound = 3651180.351859, lowerbound=1287760.351859, norm of subgrad 36.494572 stepsize= 1.000000
+dualbound = 3651249.727369, lowerbound=1298501.727369, norm of subgrad 1140.053388 dualbound = 3651249.727369, lowerbound=1298501.727369, norm of subgrad 35.907875 stepsize= 1.000000
+dualbound = 3651334.805191, lowerbound=1292665.805191, norm of subgrad 1137.501123 dualbound = 3651334.805191, lowerbound=1292665.805191, norm of subgrad 36.442802 stepsize= 1.000000
+dualbound = 3651370.815407, lowerbound=1296253.815407, norm of subgrad 1139.092101 dualbound = 3651370.815407, lowerbound=1296253.815407, norm of subgrad 36.235483 stepsize= 1.000000
+dualbound = 3651473.527881, lowerbound=1297250.527881, norm of subgrad 1139.491785 dualbound = 3651473.527881, lowerbound=1297250.527881, norm of subgrad 35.968215 stepsize= 1.000000
+dualbound = 3651514.940323, lowerbound=1291277.940323, norm of subgrad 1136.904983 dualbound = 3651514.940323, lowerbound=1291277.940323, norm of subgrad 36.282399 stepsize= 1.000000
+dualbound = 3651587.314268, lowerbound=1295594.314268, norm of subgrad 1138.776235 dualbound = 3651587.314268, lowerbound=1295594.314268, norm of subgrad 35.907854 stepsize= 1.000000
+dualbound = 3651673.383356, lowerbound=1292316.383356, norm of subgrad 1137.315428 dualbound = 3651673.383356, lowerbound=1292316.383356, norm of subgrad 35.441065 stepsize= 1.000000
+dualbound = 3651744.710106, lowerbound=1294186.710106, norm of subgrad 1138.150126 dualbound = 3651744.710106, lowerbound=1294186.710106, norm of subgrad 35.641643 stepsize= 1.000000
+dualbound = 3651784.386263, lowerbound=1292985.386263, norm of subgrad 1137.602033 dualbound = 3651784.386263, lowerbound=1292985.386263, norm of subgrad 34.535144 stepsize= 1.000000
+dualbound = 3651902.070449, lowerbound=1298313.070449, norm of subgrad 1139.920204 dualbound = 3651902.070449, lowerbound=1298313.070449, norm of subgrad 34.966901 stepsize= 1.000000
+dualbound = 3651949.590398, lowerbound=1291533.590398, norm of subgrad 1136.969916 dualbound = 3651949.590398, lowerbound=1291533.590398, norm of subgrad 34.849963 stepsize= 1.000000
+dualbound = 3652022.614989, lowerbound=1299652.614989, norm of subgrad 1140.537862 dualbound = 3652022.614989, lowerbound=1299652.614989, norm of subgrad 35.313235 stepsize= 1.000000
+dualbound = 3652062.795415, lowerbound=1293885.795415, norm of subgrad 1138.012212 dualbound = 3652062.795415, lowerbound=1293885.795415, norm of subgrad 35.016859 stepsize= 1.000000
+dualbound = 3652146.468821, lowerbound=1293378.468821, norm of subgrad 1137.802474 dualbound = 3652146.468821, lowerbound=1293378.468821, norm of subgrad 36.050983 stepsize= 1.000000
+dualbound = 3652159.500801, lowerbound=1296344.500801, norm of subgrad 1139.127956 dualbound = 3652159.500801, lowerbound=1296344.500801, norm of subgrad 35.791507 stepsize= 1.000000
+dualbound = 3652279.550978, lowerbound=1296805.550978, norm of subgrad 1139.308365 dualbound = 3652279.550978, lowerbound=1296805.550978, norm of subgrad 36.579368 stepsize= 1.000000
+dualbound = 3652317.136735, lowerbound=1296495.136735, norm of subgrad 1139.198023 dualbound = 3652317.136735, lowerbound=1296495.136735, norm of subgrad 36.257217 stepsize= 1.000000
+dualbound = 3652370.990042, lowerbound=1294531.990042, norm of subgrad 1138.316735 dualbound = 3652370.990042, lowerbound=1294531.990042, norm of subgrad 35.872738 stepsize= 1.000000
+dualbound = 3652459.619000, lowerbound=1297897.619000, norm of subgrad 1139.808589 dualbound = 3652459.619000, lowerbound=1297897.619000, norm of subgrad 36.805284 stepsize= 1.000000
+dualbound = 3652501.970061, lowerbound=1297721.970061, norm of subgrad 1139.753030 dualbound = 3652501.970061, lowerbound=1297721.970061, norm of subgrad 36.842246 stepsize= 1.000000
+dualbound = 3652572.858361, lowerbound=1296394.858361, norm of subgrad 1139.135136 dualbound = 3652572.858361, lowerbound=1296394.858361, norm of subgrad 36.123238 stepsize= 1.000000
+dualbound = 3652663.274927, lowerbound=1295359.274927, norm of subgrad 1138.676106 dualbound = 3652663.274927, lowerbound=1295359.274927, norm of subgrad 36.254883 stepsize= 1.000000
+dualbound = 3652703.581520, lowerbound=1293078.581520, norm of subgrad 1137.680351 dualbound = 3652703.581520, lowerbound=1293078.581520, norm of subgrad 35.753414 stepsize= 1.000000
+dualbound = 3652798.503386, lowerbound=1289968.503386, norm of subgrad 1136.265155 dualbound = 3652798.503386, lowerbound=1289968.503386, norm of subgrad 34.998884 stepsize= 1.000000
+dualbound = 3652858.369496, lowerbound=1292239.369496, norm of subgrad 1137.293880 dualbound = 3652858.369496, lowerbound=1292239.369496, norm of subgrad 35.466408 stepsize= 1.000000
+dualbound = 3652924.619730, lowerbound=1295423.619730, norm of subgrad 1138.702165 dualbound = 3652924.619730, lowerbound=1295423.619730, norm of subgrad 35.850387 stepsize= 1.000000
+dualbound = 3652961.670531, lowerbound=1291850.670531, norm of subgrad 1137.149362 dualbound = 3652961.670531, lowerbound=1291850.670531, norm of subgrad 35.986814 stepsize= 1.000000
+dualbound = 3653051.925407, lowerbound=1298757.925407, norm of subgrad 1140.163114 dualbound = 3653051.925407, lowerbound=1298757.925407, norm of subgrad 36.114469 stepsize= 1.000000
+dualbound = 3653095.163610, lowerbound=1294650.163610, norm of subgrad 1138.387967 dualbound = 3653095.163610, lowerbound=1294650.163610, norm of subgrad 36.335082 stepsize= 1.000000
+dualbound = 3653169.812311, lowerbound=1292036.812311, norm of subgrad 1137.239558 dualbound = 3653169.812311, lowerbound=1292036.812311, norm of subgrad 36.764775 stepsize= 1.000000
+dualbound = 3653250.655706, lowerbound=1295239.655706, norm of subgrad 1138.606893 dualbound = 3653250.655706, lowerbound=1295239.655706, norm of subgrad 35.592744 stepsize= 1.000000
+dualbound = 3653324.476361, lowerbound=1291806.476361, norm of subgrad 1137.107944 dualbound = 3653324.476361, lowerbound=1291806.476361, norm of subgrad 35.802523 stepsize= 1.000000
+dualbound = 3653379.984507, lowerbound=1293948.984507, norm of subgrad 1138.067654 dualbound = 3653379.984507, lowerbound=1293948.984507, norm of subgrad 36.117975 stepsize= 1.000000
+dualbound = 3653449.093873, lowerbound=1292646.093873, norm of subgrad 1137.497294 dualbound = 3653449.093873, lowerbound=1292646.093873, norm of subgrad 36.374570 stepsize= 1.000000
+dualbound = 3653496.747180, lowerbound=1295250.747180, norm of subgrad 1138.658749 dualbound = 3653496.747180, lowerbound=1295250.747180, norm of subgrad 36.614933 stepsize= 1.000000
+dualbound = 3653558.865409, lowerbound=1298709.865409, norm of subgrad 1140.158702 dualbound = 3653558.865409, lowerbound=1298709.865409, norm of subgrad 36.250769 stepsize= 1.000000
+dualbound = 3653644.836444, lowerbound=1291579.836444, norm of subgrad 1137.037307 dualbound = 3653644.836444, lowerbound=1291579.836444, norm of subgrad 36.877785 stepsize= 1.000000
+dualbound = 3653708.313977, lowerbound=1297088.313977, norm of subgrad 1139.431136 dualbound = 3653708.313977, lowerbound=1297088.313977, norm of subgrad 35.755804 stepsize= 1.000000
+dualbound = 3653782.663290, lowerbound=1294257.663290, norm of subgrad 1138.160210 dualbound = 3653782.663290, lowerbound=1294257.663290, norm of subgrad 35.004990 stepsize= 1.000000
+dualbound = 3653866.720672, lowerbound=1293304.720672, norm of subgrad 1137.752487 dualbound = 3653866.720672, lowerbound=1293304.720672, norm of subgrad 35.497287 stepsize= 1.000000
+dualbound = 3653917.207832, lowerbound=1292005.207832, norm of subgrad 1137.219507 dualbound = 3653917.207832, lowerbound=1292005.207832, norm of subgrad 36.242063 stepsize= 1.000000
+dualbound = 3653949.363414, lowerbound=1293659.363414, norm of subgrad 1137.955343 dualbound = 3653949.363414, lowerbound=1293659.363414, norm of subgrad 36.265074 stepsize= 1.000000
+dualbound = 3654013.859215, lowerbound=1293482.859215, norm of subgrad 1137.868999 dualbound = 3654013.859215, lowerbound=1293482.859215, norm of subgrad 36.434816 stepsize= 1.000000
+dualbound = 3654105.671554, lowerbound=1296471.671554, norm of subgrad 1139.187286 dualbound = 3654105.671554, lowerbound=1296471.671554, norm of subgrad 36.983947 stepsize= 1.000000
+dualbound = 3654169.853259, lowerbound=1296287.853259, norm of subgrad 1139.088167 dualbound = 3654169.853259, lowerbound=1296287.853259, norm of subgrad 36.030289 stepsize= 1.000000
+dualbound = 3654243.200157, lowerbound=1290525.200157, norm of subgrad 1136.550131 dualbound = 3654243.200157, lowerbound=1290525.200157, norm of subgrad 35.977033 stepsize= 1.000000
+dualbound = 3654336.413998, lowerbound=1296080.413998, norm of subgrad 1138.981305 dualbound = 3654336.413998, lowerbound=1296080.413998, norm of subgrad 35.933464 stepsize= 1.000000
+dualbound = 3654378.373110, lowerbound=1290858.373110, norm of subgrad 1136.708570 dualbound = 3654378.373110, lowerbound=1290858.373110, norm of subgrad 35.916001 stepsize= 1.000000
+dualbound = 3654424.039187, lowerbound=1295405.039187, norm of subgrad 1138.729572 dualbound = 3654424.039187, lowerbound=1295405.039187, norm of subgrad 36.683322 stepsize= 1.000000
+dualbound = 3654477.640536, lowerbound=1293618.640536, norm of subgrad 1137.941405 dualbound = 3654477.640536, lowerbound=1293618.640536, norm of subgrad 36.682439 stepsize= 1.000000
+dualbound = 3654556.425873, lowerbound=1295453.425873, norm of subgrad 1138.720960 dualbound = 3654556.425873, lowerbound=1295453.425873, norm of subgrad 36.204770 stepsize= 1.000000
+dualbound = 3654635.029290, lowerbound=1293484.029290, norm of subgrad 1137.860725 dualbound = 3654635.029290, lowerbound=1293484.029290, norm of subgrad 36.353864 stepsize= 1.000000
+dualbound = 3654711.490133, lowerbound=1291759.490133, norm of subgrad 1137.104872 dualbound = 3654711.490133, lowerbound=1291759.490133, norm of subgrad 36.393143 stepsize= 1.000000
+dualbound = 3654762.104237, lowerbound=1297119.104237, norm of subgrad 1139.450791 dualbound = 3654762.104237, lowerbound=1297119.104237, norm of subgrad 35.771694 stepsize= 1.000000
+dualbound = 3654842.628135, lowerbound=1300068.628135, norm of subgrad 1140.760110 dualbound = 3654842.628135, lowerbound=1300068.628135, norm of subgrad 36.681384 stepsize= 1.000000
+dualbound = 3654884.413276, lowerbound=1290885.413276, norm of subgrad 1136.708148 dualbound = 3654884.413276, lowerbound=1290885.413276, norm of subgrad 35.521615 stepsize= 1.000000
+dualbound = 3654979.785548, lowerbound=1296852.785548, norm of subgrad 1139.331289 dualbound = 3654979.785548, lowerbound=1296852.785548, norm of subgrad 36.309396 stepsize= 1.000000
+dualbound = 3655034.789923, lowerbound=1296762.789923, norm of subgrad 1139.284771 dualbound = 3655034.789923, lowerbound=1296762.789923, norm of subgrad 35.524701 stepsize= 1.000000
+dualbound = 3655115.655194, lowerbound=1289319.655194, norm of subgrad 1136.013052 dualbound = 3655115.655194, lowerbound=1289319.655194, norm of subgrad 35.872904 stepsize= 1.000000
+dualbound = 3655188.876308, lowerbound=1290809.876308, norm of subgrad 1136.632252 dualbound = 3655188.876308, lowerbound=1290809.876308, norm of subgrad 34.586430 stepsize= 1.000000
+dualbound = 3655264.412849, lowerbound=1298191.412849, norm of subgrad 1139.890088 dualbound = 3655264.412849, lowerbound=1298191.412849, norm of subgrad 35.121739 stepsize= 1.000000
+dualbound = 3655322.772201, lowerbound=1289707.772201, norm of subgrad 1136.183424 dualbound = 3655322.772201, lowerbound=1289707.772201, norm of subgrad 35.543767 stepsize= 1.000000
+dualbound = 3655373.003985, lowerbound=1297039.003985, norm of subgrad 1139.443287 dualbound = 3655373.003985, lowerbound=1297039.003985, norm of subgrad 36.636482 stepsize= 1.000000
+dualbound = 3655426.839409, lowerbound=1296246.839409, norm of subgrad 1139.050411 dualbound = 3655426.839409, lowerbound=1296246.839409, norm of subgrad 35.253871 stepsize= 1.000000
+dualbound = 3655520.625347, lowerbound=1291237.625347, norm of subgrad 1136.845471 dualbound = 3655520.625347, lowerbound=1291237.625347, norm of subgrad 35.690138 stepsize= 1.000000
+dualbound = 3655580.981427, lowerbound=1296021.981427, norm of subgrad 1138.958727 dualbound = 3655580.981427, lowerbound=1296021.981427, norm of subgrad 35.571844 stepsize= 1.000000
+dualbound = 3655634.756788, lowerbound=1295101.756788, norm of subgrad 1138.577954 dualbound = 3655634.756788, lowerbound=1295101.756788, norm of subgrad 36.218440 stepsize= 1.000000
+dualbound = 3655706.144645, lowerbound=1290528.144645, norm of subgrad 1136.536469 dualbound = 3655706.144645, lowerbound=1290528.144645, norm of subgrad 35.473763 stepsize= 1.000000
+dualbound = 3655796.573691, lowerbound=1293959.573691, norm of subgrad 1138.050339 dualbound = 3655796.573691, lowerbound=1293959.573691, norm of subgrad 35.908621 stepsize= 1.000000
+dualbound = 3655847.160699, lowerbound=1298103.160699, norm of subgrad 1139.900505 dualbound = 3655847.160699, lowerbound=1298103.160699, norm of subgrad 36.339882 stepsize= 1.000000
+dualbound = 3655889.412098, lowerbound=1291005.412098, norm of subgrad 1136.814590 dualbound = 3655889.412098, lowerbound=1291005.412098, norm of subgrad 37.205529 stepsize= 1.000000
+dualbound = 3655951.211747, lowerbound=1296815.211747, norm of subgrad 1139.313483 dualbound = 3655951.211747, lowerbound=1296815.211747, norm of subgrad 35.802230 stepsize= 1.000000
+dualbound = 3656063.240515, lowerbound=1293689.240515, norm of subgrad 1137.947820 dualbound = 3656063.240515, lowerbound=1293689.240515, norm of subgrad 36.715511 stepsize= 1.000000
+dualbound = 3656096.428089, lowerbound=1296451.428089, norm of subgrad 1139.177084 dualbound = 3656096.428089, lowerbound=1296451.428089, norm of subgrad 36.141217 stepsize= 1.000000
+dualbound = 3656164.297453, lowerbound=1299393.297453, norm of subgrad 1140.458810 dualbound = 3656164.297453, lowerbound=1299393.297453, norm of subgrad 36.343767 stepsize= 1.000000
+dualbound = 3656240.650162, lowerbound=1294502.650162, norm of subgrad 1138.288913 dualbound = 3656240.650162, lowerbound=1294502.650162, norm of subgrad 35.712081 stepsize= 1.000000
+dualbound = 3656304.039420, lowerbound=1292693.039420, norm of subgrad 1137.499028 dualbound = 3656304.039420, lowerbound=1292693.039420, norm of subgrad 35.698589 stepsize= 1.000000
+dualbound = 3656379.985339, lowerbound=1292883.985339, norm of subgrad 1137.576804 dualbound = 3656379.985339, lowerbound=1292883.985339, norm of subgrad 35.678368 stepsize= 1.000000
+dualbound = 3656437.705676, lowerbound=1296708.705676, norm of subgrad 1139.287806 dualbound = 3656437.705676, lowerbound=1296708.705676, norm of subgrad 36.410443 stepsize= 1.000000
+dualbound = 3656488.280510, lowerbound=1292931.280510, norm of subgrad 1137.624402 dualbound = 3656488.280510, lowerbound=1292931.280510, norm of subgrad 36.174229 stepsize= 1.000000
+dualbound = 3656568.644193, lowerbound=1298189.644193, norm of subgrad 1139.924841 dualbound = 3656568.644193, lowerbound=1298189.644193, norm of subgrad 36.323046 stepsize= 1.000000
+dualbound = 3656625.274273, lowerbound=1287424.274273, norm of subgrad 1135.193056 dualbound = 3656625.274273, lowerbound=1287424.274273, norm of subgrad 35.994862 stepsize= 1.000000
+dualbound = 3656682.592458, lowerbound=1296171.592458, norm of subgrad 1139.043279 dualbound = 3656682.592458, lowerbound=1296171.592458, norm of subgrad 36.129187 stepsize= 1.000000
+dualbound = 3656774.380123, lowerbound=1291409.380123, norm of subgrad 1136.938160 dualbound = 3656774.380123, lowerbound=1291409.380123, norm of subgrad 36.204802 stepsize= 1.000000
+dualbound = 3656830.605296, lowerbound=1301619.605296, norm of subgrad 1141.419995 dualbound = 3656830.605296, lowerbound=1301619.605296, norm of subgrad 35.724294 stepsize= 1.000000
+dualbound = 3656903.546463, lowerbound=1288892.546463, norm of subgrad 1135.832535 dualbound = 3656903.546463, lowerbound=1288892.546463, norm of subgrad 35.999183 stepsize= 1.000000
+dualbound = 3656952.768397, lowerbound=1298551.768397, norm of subgrad 1140.099017 dualbound = 3656952.768397, lowerbound=1298551.768397, norm of subgrad 36.376118 stepsize= 1.000000
+dualbound = 3657018.263822, lowerbound=1293540.263822, norm of subgrad 1137.877086 dualbound = 3657018.263822, lowerbound=1293540.263822, norm of subgrad 35.909545 stepsize= 1.000000
+dualbound = 3657079.208956, lowerbound=1295987.208956, norm of subgrad 1138.967168 dualbound = 3657079.208956, lowerbound=1295987.208956, norm of subgrad 36.331049 stepsize= 1.000000
+dualbound = 3657136.992780, lowerbound=1294687.992780, norm of subgrad 1138.387014 dualbound = 3657136.992780, lowerbound=1294687.992780, norm of subgrad 35.983105 stepsize= 1.000000
+dualbound = 3657225.092504, lowerbound=1296969.092504, norm of subgrad 1139.389351 dualbound = 3657225.092504, lowerbound=1296969.092504, norm of subgrad 36.429380 stepsize= 1.000000
+dualbound = 3657292.673391, lowerbound=1296687.673391, norm of subgrad 1139.237321 dualbound = 3657292.673391, lowerbound=1296687.673391, norm of subgrad 35.236074 stepsize= 1.000000
+dualbound = 3657361.680027, lowerbound=1298334.680027, norm of subgrad 1139.983631 dualbound = 3657361.680027, lowerbound=1298334.680027, norm of subgrad 36.013978 stepsize= 1.000000
+dualbound = 3657403.905631, lowerbound=1292156.905631, norm of subgrad 1137.254547 dualbound = 3657403.905631, lowerbound=1292156.905631, norm of subgrad 35.117312 stepsize= 1.000000
+dualbound = 3657496.438584, lowerbound=1292579.438584, norm of subgrad 1137.451291 dualbound = 3657496.438584, lowerbound=1292579.438584, norm of subgrad 36.173650 stepsize= 1.000000
+dualbound = 3657532.297940, lowerbound=1300327.297940, norm of subgrad 1140.876986 dualbound = 3657532.297940, lowerbound=1300327.297940, norm of subgrad 36.178161 stepsize= 1.000000
+dualbound = 3657602.149964, lowerbound=1290630.149964, norm of subgrad 1136.618296 dualbound = 3657602.149964, lowerbound=1290630.149964, norm of subgrad 36.617646 stepsize= 1.000000
+dualbound = 3657678.538420, lowerbound=1289748.538420, norm of subgrad 1136.217646 dualbound = 3657678.538420, lowerbound=1289748.538420, norm of subgrad 36.309619 stepsize= 1.000000
+dualbound = 3657741.183056, lowerbound=1301356.183056, norm of subgrad 1141.308102 dualbound = 3657741.183056, lowerbound=1301356.183056, norm of subgrad 35.925543 stepsize= 1.000000
+dualbound = 3657821.017811, lowerbound=1292808.017811, norm of subgrad 1137.574621 dualbound = 3657821.017811, lowerbound=1292808.017811, norm of subgrad 36.712869 stepsize= 1.000000
+dualbound = 3657872.348377, lowerbound=1296329.348377, norm of subgrad 1139.106820 dualbound = 3657872.348377, lowerbound=1296329.348377, norm of subgrad 35.865451 stepsize= 1.000000
+dualbound = 3657971.367050, lowerbound=1296122.367050, norm of subgrad 1138.994454 dualbound = 3657971.367050, lowerbound=1296122.367050, norm of subgrad 35.847157 stepsize= 1.000000
+dualbound = 3658016.752677, lowerbound=1295081.752677, norm of subgrad 1138.563021 dualbound = 3658016.752677, lowerbound=1295081.752677, norm of subgrad 35.908016 stepsize= 1.000000
+dualbound = 3658063.766146, lowerbound=1293281.766146, norm of subgrad 1137.807438 dualbound = 3658063.766146, lowerbound=1293281.766146, norm of subgrad 37.027199 stepsize= 1.000000
+dualbound = 3658133.152923, lowerbound=1291673.152923, norm of subgrad 1137.077022 dualbound = 3658133.152923, lowerbound=1291673.152923, norm of subgrad 36.611293 stepsize= 1.000000
+dualbound = 3658196.649573, lowerbound=1298395.649573, norm of subgrad 1140.015636 dualbound = 3658196.649573, lowerbound=1298395.649573, norm of subgrad 36.103970 stepsize= 1.000000
+dualbound = 3658275.069864, lowerbound=1292077.069864, norm of subgrad 1137.236154 dualbound = 3658275.069864, lowerbound=1292077.069864, norm of subgrad 36.158267 stepsize= 1.000000
+dualbound = 3658342.983823, lowerbound=1298335.983823, norm of subgrad 1139.993414 dualbound = 3658342.983823, lowerbound=1298335.983823, norm of subgrad 36.289309 stepsize= 1.000000
+dualbound = 3658408.115036, lowerbound=1293038.115036, norm of subgrad 1137.679267 dualbound = 3658408.115036, lowerbound=1293038.115036, norm of subgrad 36.621458 stepsize= 1.000000
+dualbound = 3658462.002636, lowerbound=1297605.002636, norm of subgrad 1139.656967 dualbound = 3658462.002636, lowerbound=1297605.002636, norm of subgrad 35.593365 stepsize= 1.000000
+dualbound = 3658556.138449, lowerbound=1295838.138449, norm of subgrad 1138.859578 dualbound = 3658556.138449, lowerbound=1295838.138449, norm of subgrad 35.456111 stepsize= 1.000000
+dualbound = 3658602.104511, lowerbound=1296719.104511, norm of subgrad 1139.265160 dualbound = 3658602.104511, lowerbound=1296719.104511, norm of subgrad 35.383132 stepsize= 1.000000
+dualbound = 3658656.321201, lowerbound=1298011.321201, norm of subgrad 1139.860659 dualbound = 3658656.321201, lowerbound=1298011.321201, norm of subgrad 36.403526 stepsize= 1.000000
+dualbound = 3658732.759916, lowerbound=1290327.759916, norm of subgrad 1136.462388 dualbound = 3658732.759916, lowerbound=1290327.759916, norm of subgrad 35.992204 stepsize= 1.000000
+dualbound = 3658788.305010, lowerbound=1296443.305010, norm of subgrad 1139.134454 dualbound = 3658788.305010, lowerbound=1296443.305010, norm of subgrad 35.207174 stepsize= 1.000000
+dualbound = 3658872.609400, lowerbound=1293672.609400, norm of subgrad 1137.899648 dualbound = 3658872.609400, lowerbound=1293672.609400, norm of subgrad 35.032904 stepsize= 1.000000
+dualbound = 3658938.617022, lowerbound=1304041.617022, norm of subgrad 1142.480904 dualbound = 3658938.617022, lowerbound=1304041.617022, norm of subgrad 35.874888 stepsize= 1.000000
+dualbound = 3659010.067320, lowerbound=1290179.067320, norm of subgrad 1136.399167 dualbound = 3659010.067320, lowerbound=1290179.067320, norm of subgrad 35.992364 stepsize= 1.000000
+dualbound = 3659052.898020, lowerbound=1299834.898020, norm of subgrad 1140.644072 dualbound = 3659052.898020, lowerbound=1299834.898020, norm of subgrad 35.732768 stepsize= 1.000000
+dualbound = 3659133.850234, lowerbound=1292480.850234, norm of subgrad 1137.418503 dualbound = 3659133.850234, lowerbound=1292480.850234, norm of subgrad 36.344906 stepsize= 1.000000
+dualbound = 3659200.867495, lowerbound=1299704.867495, norm of subgrad 1140.625209 dualbound = 3659200.867495, lowerbound=1299704.867495, norm of subgrad 37.256104 stepsize= 1.000000
+dualbound = 3659237.169038, lowerbound=1291990.169038, norm of subgrad 1137.236198 dualbound = 3659237.169038, lowerbound=1291990.169038, norm of subgrad 36.773653 stepsize= 1.000000
+dualbound = 3659344.556735, lowerbound=1297905.556735, norm of subgrad 1139.806807 dualbound = 3659344.556735, lowerbound=1297905.556735, norm of subgrad 36.896988 stepsize= 1.000000
+dualbound = 3659398.428367, lowerbound=1294789.428367, norm of subgrad 1138.433761 dualbound = 3659398.428367, lowerbound=1294789.428367, norm of subgrad 35.998217 stepsize= 1.000000
+dualbound = 3659455.627692, lowerbound=1295623.627692, norm of subgrad 1138.822913 dualbound = 3659455.627692, lowerbound=1295623.627692, norm of subgrad 36.758663 stepsize= 1.000000
+dualbound = 3659510.001107, lowerbound=1292473.001107, norm of subgrad 1137.440109 dualbound = 3659510.001107, lowerbound=1292473.001107, norm of subgrad 36.761031 stepsize= 1.000000
+dualbound = 3659592.939141, lowerbound=1301853.939141, norm of subgrad 1141.543227 dualbound = 3659592.939141, lowerbound=1301853.939141, norm of subgrad 36.741503 stepsize= 1.000000
+dualbound = 3659649.763274, lowerbound=1287274.763274, norm of subgrad 1135.140856 dualbound = 3659649.763274, lowerbound=1287274.763274, norm of subgrad 36.425597 stepsize= 1.000000
+dualbound = 3659700.058751, lowerbound=1296976.058751, norm of subgrad 1139.402062 dualbound = 3659700.058751, lowerbound=1296976.058751, norm of subgrad 36.211814 stepsize= 1.000000
+dualbound = 3659798.958019, lowerbound=1292389.958019, norm of subgrad 1137.403604 dualbound = 3659798.958019, lowerbound=1292389.958019, norm of subgrad 37.361735 stepsize= 1.000000
+dualbound = 3659849.573321, lowerbound=1298940.573321, norm of subgrad 1140.243208 dualbound = 3659849.573321, lowerbound=1298940.573321, norm of subgrad 35.561430 stepsize= 1.000000
+dualbound = 3659933.664348, lowerbound=1291361.664348, norm of subgrad 1136.916296 dualbound = 3659933.664348, lowerbound=1291361.664348, norm of subgrad 36.070639 stepsize= 1.000000
+dualbound = 3659983.372176, lowerbound=1296204.372176, norm of subgrad 1139.044500 dualbound = 3659983.372176, lowerbound=1296204.372176, norm of subgrad 35.604885 stepsize= 1.000000
+dualbound = 3660077.084821, lowerbound=1295092.084821, norm of subgrad 1138.552627 dualbound = 3660077.084821, lowerbound=1295092.084821, norm of subgrad 36.106961 stepsize= 1.000000
+dualbound = 3660126.007017, lowerbound=1299159.007017, norm of subgrad 1140.356088 dualbound = 3660126.007017, lowerbound=1299159.007017, norm of subgrad 36.082159 stepsize= 1.000000
+dualbound = 3660191.168894, lowerbound=1291230.168894, norm of subgrad 1136.850548 dualbound = 3660191.168894, lowerbound=1291230.168894, norm of subgrad 35.555054 stepsize= 1.000000
+dualbound = 3660259.590424, lowerbound=1298370.590424, norm of subgrad 1139.964732 dualbound = 3660259.590424, lowerbound=1298370.590424, norm of subgrad 34.891568 stepsize= 1.000000
+dualbound = 3660345.328835, lowerbound=1289440.328835, norm of subgrad 1136.043278 dualbound = 3660345.328835, lowerbound=1289440.328835, norm of subgrad 35.209919 stepsize= 1.000000
+dualbound = 3660406.096175, lowerbound=1295232.096175, norm of subgrad 1138.602695 dualbound = 3660406.096175, lowerbound=1295232.096175, norm of subgrad 35.281260 stepsize= 1.000000
+dualbound = 3660451.525523, lowerbound=1293953.525523, norm of subgrad 1138.051636 dualbound = 3660451.525523, lowerbound=1293953.525523, norm of subgrad 35.403804 stepsize= 1.000000
+dualbound = 3660521.574481, lowerbound=1294821.574481, norm of subgrad 1138.432068 dualbound = 3660521.574481, lowerbound=1294821.574481, norm of subgrad 35.721827 stepsize= 1.000000
+dualbound = 3660590.503574, lowerbound=1297956.503574, norm of subgrad 1139.838367 dualbound = 3660590.503574, lowerbound=1297956.503574, norm of subgrad 36.659638 stepsize= 1.000000
+dualbound = 3660628.644613, lowerbound=1291574.644613, norm of subgrad 1137.027988 dualbound = 3660628.644613, lowerbound=1291574.644613, norm of subgrad 36.001959 stepsize= 1.000000
+dualbound = 3660702.726608, lowerbound=1298499.726608, norm of subgrad 1140.078386 dualbound = 3660702.726608, lowerbound=1298499.726608, norm of subgrad 36.784263 stepsize= 1.000000
+dualbound = 3660779.142226, lowerbound=1295828.142226, norm of subgrad 1138.863531 dualbound = 3660779.142226, lowerbound=1295828.142226, norm of subgrad 35.474154 stepsize= 1.000000
+dualbound = 3660863.916685, lowerbound=1294510.916685, norm of subgrad 1138.271021 dualbound = 3660863.916685, lowerbound=1294510.916685, norm of subgrad 35.139358 stepsize= 1.000000
+dualbound = 3660914.711947, lowerbound=1296901.711947, norm of subgrad 1139.364609 dualbound = 3660914.711947, lowerbound=1296901.711947, norm of subgrad 36.066539 stepsize= 1.000000
+dualbound = 3660980.994877, lowerbound=1291304.994877, norm of subgrad 1136.874661 dualbound = 3660980.994877, lowerbound=1291304.994877, norm of subgrad 35.288567 stepsize= 1.000000
+dualbound = 3661049.501769, lowerbound=1299229.501769, norm of subgrad 1140.386558 dualbound = 3661049.501769, lowerbound=1299229.501769, norm of subgrad 36.338779 stepsize= 1.000000
+dualbound = 3661118.712124, lowerbound=1288481.712124, norm of subgrad 1135.665757 dualbound = 3661118.712124, lowerbound=1288481.712124, norm of subgrad 36.389701 stepsize= 1.000000
+dualbound = 3661162.324118, lowerbound=1298687.324118, norm of subgrad 1140.140046 dualbound = 3661162.324118, lowerbound=1298687.324118, norm of subgrad 35.715711 stepsize= 1.000000
+dualbound = 3661249.530772, lowerbound=1292465.530772, norm of subgrad 1137.419681 dualbound = 3661249.530772, lowerbound=1292465.530772, norm of subgrad 36.677059 stepsize= 1.000000
+dualbound = 3661287.764506, lowerbound=1299867.764506, norm of subgrad 1140.683464 dualbound = 3661287.764506, lowerbound=1299867.764506, norm of subgrad 36.458658 stepsize= 1.000000
+dualbound = 3661351.451806, lowerbound=1289181.451806, norm of subgrad 1135.994917 dualbound = 3661351.451806, lowerbound=1289181.451806, norm of subgrad 36.968734 stepsize= 1.000000
+dualbound = 3661435.682476, lowerbound=1298460.682476, norm of subgrad 1140.039334 dualbound = 3661435.682476, lowerbound=1298460.682476, norm of subgrad 36.238525 stepsize= 1.000000
+dualbound = 3661515.296594, lowerbound=1293552.296594, norm of subgrad 1137.871828 dualbound = 3661515.296594, lowerbound=1293552.296594, norm of subgrad 35.771694 stepsize= 1.000000
+dualbound = 3661581.788210, lowerbound=1300515.788210, norm of subgrad 1140.904811 dualbound = 3661581.788210, lowerbound=1300515.788210, norm of subgrad 34.849557 stepsize= 1.000000
+dualbound = 3661656.323831, lowerbound=1289737.323831, norm of subgrad 1136.224592 dualbound = 3661656.323831, lowerbound=1289737.323831, norm of subgrad 36.654272 stepsize= 1.000000
+dualbound = 3661684.192975, lowerbound=1293494.192975, norm of subgrad 1137.881449 dualbound = 3661684.192975, lowerbound=1293494.192975, norm of subgrad 36.164474 stepsize= 1.000000
+dualbound = 3661752.078820, lowerbound=1294239.078820, norm of subgrad 1138.188947 dualbound = 3661752.078820, lowerbound=1294239.078820, norm of subgrad 36.095510 stepsize= 1.000000
+dualbound = 3661843.801427, lowerbound=1291972.801427, norm of subgrad 1137.177999 dualbound = 3661843.801427, lowerbound=1291972.801427, norm of subgrad 35.954452 stepsize= 1.000000
+dualbound = 3661912.640634, lowerbound=1299289.640634, norm of subgrad 1140.377850 dualbound = 3661912.640634, lowerbound=1299289.640634, norm of subgrad 35.225548 stepsize= 1.000000
+dualbound = 3661984.497682, lowerbound=1296636.497682, norm of subgrad 1139.261821 dualbound = 3661984.497682, lowerbound=1296636.497682, norm of subgrad 36.781205 stepsize= 1.000000
+dualbound = 3662000.693431, lowerbound=1289921.693431, norm of subgrad 1136.301762 dualbound = 3662000.693431, lowerbound=1289921.693431, norm of subgrad 35.723882 stepsize= 1.000000
+dualbound = 3662079.472806, lowerbound=1304176.472806, norm of subgrad 1142.560490 dualbound = 3662079.472806, lowerbound=1304176.472806, norm of subgrad 36.698493 stepsize= 1.000000
+dualbound = 3662154.232209, lowerbound=1291618.232209, norm of subgrad 1137.037481 dualbound = 3662154.232209, lowerbound=1291618.232209, norm of subgrad 36.204411 stepsize= 1.000000
+dualbound = 3662206.328547, lowerbound=1299494.328547, norm of subgrad 1140.529846 dualbound = 3662206.328547, lowerbound=1299494.328547, norm of subgrad 36.960740 stepsize= 1.000000
+dualbound = 3662278.934245, lowerbound=1296022.934245, norm of subgrad 1138.986802 dualbound = 3662278.934245, lowerbound=1296022.934245, norm of subgrad 36.614283 stepsize= 1.000000
+dualbound = 3662340.497544, lowerbound=1297322.497544, norm of subgrad 1139.534772 dualbound = 3662340.497544, lowerbound=1297322.497544, norm of subgrad 35.757003 stepsize= 1.000000
+dualbound = 3662441.905115, lowerbound=1297273.905115, norm of subgrad 1139.521788 dualbound = 3662441.905115, lowerbound=1297273.905115, norm of subgrad 36.570583 stepsize= 1.000000
+dualbound = 3662489.867616, lowerbound=1300393.867616, norm of subgrad 1140.871539 dualbound = 3662489.867616, lowerbound=1300393.867616, norm of subgrad 35.241488 stepsize= 1.000000
+dualbound = 3662582.119844, lowerbound=1296428.119844, norm of subgrad 1139.120766 dualbound = 3662582.119844, lowerbound=1296428.119844, norm of subgrad 35.500031 stepsize= 1.000000
+dualbound = 3662619.548632, lowerbound=1298346.548632, norm of subgrad 1139.986644 dualbound = 3662619.548632, lowerbound=1298346.548632, norm of subgrad 35.502518 stepsize= 1.000000
+dualbound = 3662691.328714, lowerbound=1295344.328714, norm of subgrad 1138.684034 dualbound = 3662691.328714, lowerbound=1295344.328714, norm of subgrad 36.452436 stepsize= 1.000000
+dualbound = 3662730.247413, lowerbound=1298173.247413, norm of subgrad 1139.933001 dualbound = 3662730.247413, lowerbound=1298173.247413, norm of subgrad 36.234220 stepsize= 1.000000
+dualbound = 3662819.909008, lowerbound=1290928.909008, norm of subgrad 1136.740036 dualbound = 3662819.909008, lowerbound=1290928.909008, norm of subgrad 36.587725 stepsize= 1.000000
+dualbound = 3662861.437315, lowerbound=1302487.437315, norm of subgrad 1141.793956 dualbound = 3662861.437315, lowerbound=1302487.437315, norm of subgrad 35.320367 stepsize= 1.000000
+dualbound = 3662963.543545, lowerbound=1294688.543545, norm of subgrad 1138.363977 dualbound = 3662963.543545, lowerbound=1294688.543545, norm of subgrad 35.862323 stepsize= 1.000000
+dualbound = 3662992.172939, lowerbound=1293999.172939, norm of subgrad 1138.098051 dualbound = 3662992.172939, lowerbound=1293999.172939, norm of subgrad 36.008741 stepsize= 1.000000
+dualbound = 3663045.259566, lowerbound=1300573.259566, norm of subgrad 1140.967247 dualbound = 3663045.259566, lowerbound=1300573.259566, norm of subgrad 35.862050 stepsize= 1.000000
+dualbound = 3663147.444497, lowerbound=1297245.444497, norm of subgrad 1139.503157 dualbound = 3663147.444497, lowerbound=1297245.444497, norm of subgrad 36.389352 stepsize= 1.000000
+dualbound = 3663183.953209, lowerbound=1290986.953209, norm of subgrad 1136.760728 dualbound = 3663183.953209, lowerbound=1290986.953209, norm of subgrad 35.700262 stepsize= 1.000000
+dualbound = 3663264.313061, lowerbound=1304199.313061, norm of subgrad 1142.556481 dualbound = 3663264.313061, lowerbound=1304199.313061, norm of subgrad 36.281674 stepsize= 1.000000
+dualbound = 3663314.248904, lowerbound=1291147.248904, norm of subgrad 1136.819356 dualbound = 3663314.248904, lowerbound=1291147.248904, norm of subgrad 35.509658 stepsize= 1.000000
+dualbound = 3663401.574974, lowerbound=1296715.574974, norm of subgrad 1139.272388 dualbound = 3663401.574974, lowerbound=1296715.574974, norm of subgrad 36.239841 stepsize= 1.000000
+dualbound = 3663469.923350, lowerbound=1293934.923350, norm of subgrad 1138.024131 dualbound = 3663469.923350, lowerbound=1293934.923350, norm of subgrad 35.104820 stepsize= 1.000000
+dualbound = 3663536.401079, lowerbound=1294966.401079, norm of subgrad 1138.476790 dualbound = 3663536.401079, lowerbound=1294966.401079, norm of subgrad 35.063909 stepsize= 1.000000
+dualbound = 3663615.808367, lowerbound=1287164.808367, norm of subgrad 1135.062909 dualbound = 3663615.808367, lowerbound=1287164.808367, norm of subgrad 35.810715 stepsize= 1.000000
+dualbound = 3663668.555105, lowerbound=1301735.555105, norm of subgrad 1141.449760 dualbound = 3663668.555105, lowerbound=1301735.555105, norm of subgrad 34.996382 stepsize= 1.000000
+dualbound = 3663743.051854, lowerbound=1292726.051854, norm of subgrad 1137.506067 dualbound = 3663743.051854, lowerbound=1292726.051854, norm of subgrad 35.615962 stepsize= 1.000000
+dualbound = 3663795.626432, lowerbound=1299866.626432, norm of subgrad 1140.656665 dualbound = 3663795.626432, lowerbound=1299866.626432, norm of subgrad 35.827009 stepsize= 1.000000
+dualbound = 3663854.454592, lowerbound=1299019.454592, norm of subgrad 1140.297529 dualbound = 3663854.454592, lowerbound=1299019.454592, norm of subgrad 36.301903 stepsize= 1.000000
+dualbound = 3663902.411174, lowerbound=1294309.411174, norm of subgrad 1138.211936 dualbound = 3663902.411174, lowerbound=1294309.411174, norm of subgrad 35.566228 stepsize= 1.000000
+dualbound = 3663997.250929, lowerbound=1294048.250929, norm of subgrad 1138.105993 dualbound = 3663997.250929, lowerbound=1294048.250929, norm of subgrad 36.494380 stepsize= 1.000000
+dualbound = 3664042.100513, lowerbound=1299579.100513, norm of subgrad 1140.557364 dualbound = 3664042.100513, lowerbound=1299579.100513, norm of subgrad 36.562954 stepsize= 1.000000
+dualbound = 3664117.876564, lowerbound=1292493.876564, norm of subgrad 1137.429944 dualbound = 3664117.876564, lowerbound=1292493.876564, norm of subgrad 36.452381 stepsize= 1.000000
+dualbound = 3664176.727110, lowerbound=1300482.727110, norm of subgrad 1140.950800 dualbound = 3664176.727110, lowerbound=1300482.727110, norm of subgrad 36.672204 stepsize= 1.000000
+dualbound = 3664237.451551, lowerbound=1290095.451551, norm of subgrad 1136.378657 dualbound = 3664237.451551, lowerbound=1290095.451551, norm of subgrad 36.355528 stepsize= 1.000000
+dualbound = 3664313.777874, lowerbound=1298085.777874, norm of subgrad 1139.891564 dualbound = 3664313.777874, lowerbound=1298085.777874, norm of subgrad 36.651416 stepsize= 1.000000
+dualbound = 3664365.600842, lowerbound=1296778.600842, norm of subgrad 1139.308387 dualbound = 3664365.600842, lowerbound=1296778.600842, norm of subgrad 36.011428 stepsize= 1.000000
+dualbound = 3664437.341048, lowerbound=1296414.341049, norm of subgrad 1139.127886 dualbound = 3664437.341048, lowerbound=1296414.341049, norm of subgrad 35.633414 stepsize= 1.000000
+dualbound = 3664520.713845, lowerbound=1289486.713845, norm of subgrad 1136.129268 dualbound = 3664520.713845, lowerbound=1289486.713845, norm of subgrad 37.234027 stepsize= 1.000000
+dualbound = 3664554.091180, lowerbound=1297044.091180, norm of subgrad 1139.433671 dualbound = 3664554.091180, lowerbound=1297044.091180, norm of subgrad 36.033003 stepsize= 1.000000
+dualbound = 3664620.941779, lowerbound=1295287.941779, norm of subgrad 1138.636879 dualbound = 3664620.941779, lowerbound=1295287.941779, norm of subgrad 35.677032 stepsize= 1.000000
+dualbound = 3664717.630178, lowerbound=1297780.630178, norm of subgrad 1139.698921 dualbound = 3664717.630178, lowerbound=1297780.630178, norm of subgrad 35.066913 stepsize= 1.000000
+dualbound = 3664777.062442, lowerbound=1291927.062442, norm of subgrad 1137.162285 dualbound = 3664777.062442, lowerbound=1291927.062442, norm of subgrad 35.643124 stepsize= 1.000000
+dualbound = 3664833.464029, lowerbound=1297473.464029, norm of subgrad 1139.601888 dualbound = 3664833.464029, lowerbound=1297473.464029, norm of subgrad 35.712765 stepsize= 1.000000
+dualbound = 3664885.773613, lowerbound=1295318.773613, norm of subgrad 1138.668860 dualbound = 3664885.773613, lowerbound=1295318.773613, norm of subgrad 36.059806 stepsize= 1.000000
+dualbound = 3664949.731937, lowerbound=1297646.731937, norm of subgrad 1139.696772 dualbound = 3664949.731937, lowerbound=1297646.731937, norm of subgrad 36.413711 stepsize= 1.000000
+dualbound = 3665030.840910, lowerbound=1288859.840910, norm of subgrad 1135.831784 dualbound = 3665030.840910, lowerbound=1288859.840910, norm of subgrad 36.539143 stepsize= 1.000000
+dualbound = 3665079.834346, lowerbound=1295903.834346, norm of subgrad 1138.943297 dualbound = 3665079.834346, lowerbound=1295903.834346, norm of subgrad 36.564921 stepsize= 1.000000
+dualbound = 3665142.491538, lowerbound=1292594.491538, norm of subgrad 1137.459226 dualbound = 3665142.491538, lowerbound=1292594.491538, norm of subgrad 35.800240 stepsize= 1.000000
+dualbound = 3665223.256006, lowerbound=1296889.256006, norm of subgrad 1139.338517 dualbound = 3665223.256006, lowerbound=1296889.256006, norm of subgrad 35.829659 stepsize= 1.000000
+dualbound = 3665292.589008, lowerbound=1291116.589008, norm of subgrad 1136.834900 dualbound = 3665292.589008, lowerbound=1291116.589008, norm of subgrad 36.692411 stepsize= 1.000000
+dualbound = 3665338.208018, lowerbound=1298161.208018, norm of subgrad 1139.926405 dualbound = 3665338.208018, lowerbound=1298161.208018, norm of subgrad 36.285245 stepsize= 1.000000
+dualbound = 3665397.483331, lowerbound=1294442.483331, norm of subgrad 1138.284008 dualbound = 3665397.483331, lowerbound=1294442.483331, norm of subgrad 36.156262 stepsize= 1.000000
+dualbound = 3665487.284906, lowerbound=1296501.284906, norm of subgrad 1139.194577 dualbound = 3665487.284906, lowerbound=1296501.284906, norm of subgrad 36.780451 stepsize= 1.000000
+dualbound = 3665526.115525, lowerbound=1295811.115525, norm of subgrad 1138.898202 dualbound = 3665526.115525, lowerbound=1295811.115525, norm of subgrad 36.288161 stepsize= 1.000000
+dualbound = 3665592.825986, lowerbound=1292762.825986, norm of subgrad 1137.547725 dualbound = 3665592.825986, lowerbound=1292762.825986, norm of subgrad 36.314053 stepsize= 1.000000
+dualbound = 3665654.485956, lowerbound=1292684.485956, norm of subgrad 1137.536147 dualbound = 3665654.485956, lowerbound=1292684.485956, norm of subgrad 36.954837 stepsize= 1.000000
+dualbound = 3665726.767161, lowerbound=1298297.767161, norm of subgrad 1139.999021 dualbound = 3665726.767161, lowerbound=1298297.767161, norm of subgrad 37.044314 stepsize= 1.000000
+dualbound = 3665776.201730, lowerbound=1298143.201730, norm of subgrad 1139.945263 dualbound = 3665776.201730, lowerbound=1298143.201730, norm of subgrad 37.167655 stepsize= 1.000000
+dualbound = 3665834.378992, lowerbound=1296769.378992, norm of subgrad 1139.323211 dualbound = 3665834.378992, lowerbound=1296769.378992, norm of subgrad 36.690288 stepsize= 1.000000
+dualbound = 3665919.460970, lowerbound=1293906.460970, norm of subgrad 1138.026125 dualbound = 3665919.460970, lowerbound=1293906.460970, norm of subgrad 35.806172 stepsize= 1.000000
+dualbound = 3666017.572310, lowerbound=1296955.572310, norm of subgrad 1139.399216 dualbound = 3666017.572310, lowerbound=1296955.572310, norm of subgrad 37.055517 stepsize= 1.000000
+dualbound = 3666038.170344, lowerbound=1293601.170344, norm of subgrad 1137.928456 dualbound = 3666038.170344, lowerbound=1293601.170344, norm of subgrad 36.063805 stepsize= 1.000000
+dualbound = 3666113.827079, lowerbound=1296000.827079, norm of subgrad 1138.934514 dualbound = 3666113.827079, lowerbound=1296000.827079, norm of subgrad 35.308026 stepsize= 1.000000
+dualbound = 3666197.894189, lowerbound=1296075.894189, norm of subgrad 1138.974492 dualbound = 3666197.894189, lowerbound=1296075.894189, norm of subgrad 35.652028 stepsize= 1.000000
+dualbound = 3666276.075705, lowerbound=1298019.075705, norm of subgrad 1139.829406 dualbound = 3666276.075705, lowerbound=1298019.075705, norm of subgrad 35.639606 stepsize= 1.000000
+dualbound = 3666325.246182, lowerbound=1293324.246182, norm of subgrad 1137.771614 dualbound = 3666325.246182, lowerbound=1293324.246182, norm of subgrad 35.343606 stepsize= 1.000000
+dualbound = 3666383.890082, lowerbound=1302164.890082, norm of subgrad 1141.682920 dualbound = 3666383.890082, lowerbound=1302164.890082, norm of subgrad 36.519090 stepsize= 1.000000
+dualbound = 3666416.370157, lowerbound=1291454.370157, norm of subgrad 1136.992247 dualbound = 3666416.370157, lowerbound=1291454.370157, norm of subgrad 36.462036 stepsize= 1.000000
+dualbound = 3666503.713278, lowerbound=1301665.713278, norm of subgrad 1141.434498 dualbound = 3666503.713278, lowerbound=1301665.713278, norm of subgrad 35.976980 stepsize= 1.000000
+dualbound = 3666598.870453, lowerbound=1298871.870453, norm of subgrad 1140.209573 dualbound = 3666598.870453, lowerbound=1298871.870453, norm of subgrad 36.071556 stepsize= 1.000000
+dualbound = 3666656.427998, lowerbound=1299315.427998, norm of subgrad 1140.447907 dualbound = 3666656.427998, lowerbound=1299315.427998, norm of subgrad 36.926380 stepsize= 1.000000
+dualbound = 3666692.337372, lowerbound=1297448.337372, norm of subgrad 1139.595690 dualbound = 3666692.337372, lowerbound=1297448.337372, norm of subgrad 35.579620 stepsize= 1.000000
+dualbound = 3666766.856741, lowerbound=1294388.856741, norm of subgrad 1138.239806 dualbound = 3666766.856741, lowerbound=1294388.856741, norm of subgrad 35.714414 stepsize= 1.000000
+dualbound = 3666847.786402, lowerbound=1295828.786402, norm of subgrad 1138.898936 dualbound = 3666847.786402, lowerbound=1295828.786402, norm of subgrad 36.646005 stepsize= 1.000000
+dualbound = 3666912.657287, lowerbound=1298078.657287, norm of subgrad 1139.871772 dualbound = 3666912.657287, lowerbound=1298078.657287, norm of subgrad 35.970417 stepsize= 1.000000
+dualbound = 3666954.566448, lowerbound=1290213.566448, norm of subgrad 1136.437665 dualbound = 3666954.566448, lowerbound=1290213.566448, norm of subgrad 36.316789 stepsize= 1.000000
+dualbound = 3667031.485377, lowerbound=1304293.485377, norm of subgrad 1142.604256 dualbound = 3667031.485377, lowerbound=1304293.485377, norm of subgrad 36.440622 stepsize= 1.000000
+dualbound = 3667090.589390, lowerbound=1297370.589390, norm of subgrad 1139.563333 dualbound = 3667090.589390, lowerbound=1297370.589390, norm of subgrad 35.959755 stepsize= 1.000000
+dualbound = 3667188.605840, lowerbound=1295691.605840, norm of subgrad 1138.807976 dualbound = 3667188.605840, lowerbound=1295691.605840, norm of subgrad 35.916799 stepsize= 1.000000
+dualbound = 3667212.562893, lowerbound=1297747.562893, norm of subgrad 1139.761187 dualbound = 3667212.562893, lowerbound=1297747.562893, norm of subgrad 36.495987 stepsize= 1.000000
+dualbound = 3667311.943647, lowerbound=1298186.943647, norm of subgrad 1139.928043 dualbound = 3667311.943647, lowerbound=1298186.943647, norm of subgrad 36.720304 stepsize= 1.000000
+dualbound = 3667325.484282, lowerbound=1299323.484282, norm of subgrad 1140.426887 dualbound = 3667325.484282, lowerbound=1299323.484282, norm of subgrad 35.546317 stepsize= 1.000000
+dualbound = 3667435.277414, lowerbound=1297304.277414, norm of subgrad 1139.529411 dualbound = 3667435.277414, lowerbound=1297304.277414, norm of subgrad 36.507439 stepsize= 1.000000
+dualbound = 3667489.496533, lowerbound=1290363.496533, norm of subgrad 1136.477231 dualbound = 3667489.496533, lowerbound=1290363.496533, norm of subgrad 35.654160 stepsize= 1.000000
+dualbound = 3667572.732747, lowerbound=1298850.732747, norm of subgrad 1140.202058 dualbound = 3667572.732747, lowerbound=1298850.732747, norm of subgrad 35.961594 stepsize= 1.000000
+dualbound = 3667619.018133, lowerbound=1297899.018133, norm of subgrad 1139.792094 dualbound = 3667619.018133, lowerbound=1297899.018133, norm of subgrad 35.683125 stepsize= 1.000000
+dualbound = 3667689.921517, lowerbound=1299140.921517, norm of subgrad 1140.321850 dualbound = 3667689.921517, lowerbound=1299140.921517, norm of subgrad 35.551419 stepsize= 1.000000
+dualbound = 3667782.949510, lowerbound=1294035.949510, norm of subgrad 1138.089166 dualbound = 3667782.949510, lowerbound=1294035.949510, norm of subgrad 36.111328 stepsize= 1.000000
+dualbound = 3667816.949100, lowerbound=1299875.949100, norm of subgrad 1140.694941 dualbound = 3667816.949100, lowerbound=1299875.949100, norm of subgrad 36.646959 stepsize= 1.000000
+dualbound = 3667853.906984, lowerbound=1296725.906984, norm of subgrad 1139.280873 dualbound = 3667853.906984, lowerbound=1296725.906984, norm of subgrad 35.664519 stepsize= 1.000000
+dualbound = 3667965.660837, lowerbound=1294335.660837, norm of subgrad 1138.243234 dualbound = 3667965.660837, lowerbound=1294335.660837, norm of subgrad 37.064186 stepsize= 1.000000
+dualbound = 3668006.686422, lowerbound=1299493.686422, norm of subgrad 1140.501945 dualbound = 3668006.686422, lowerbound=1299493.686422, norm of subgrad 35.944757 stepsize= 1.000000
+dualbound = 3668068.728423, lowerbound=1290095.728423, norm of subgrad 1136.359859 dualbound = 3668068.728423, lowerbound=1290095.728423, norm of subgrad 35.777675 stepsize= 1.000000
+dualbound = 3668159.044127, lowerbound=1293021.044127, norm of subgrad 1137.639242 dualbound = 3668159.044127, lowerbound=1293021.044127, norm of subgrad 35.948793 stepsize= 1.000000
+dualbound = 3668231.038117, lowerbound=1300201.038117, norm of subgrad 1140.807187 dualbound = 3668231.038117, lowerbound=1300201.038117, norm of subgrad 36.221458 stepsize= 1.000000
+dualbound = 3668274.011696, lowerbound=1294973.011696, norm of subgrad 1138.505605 dualbound = 3668274.011696, lowerbound=1294973.011696, norm of subgrad 35.566467 stepsize= 1.000000
+dualbound = 3668339.327950, lowerbound=1293698.327950, norm of subgrad 1137.918858 dualbound = 3668339.327950, lowerbound=1293698.327950, norm of subgrad 35.018799 stepsize= 1.000000
+dualbound = 3668424.504114, lowerbound=1292893.504114, norm of subgrad 1137.583625 dualbound = 3668424.504114, lowerbound=1292893.504114, norm of subgrad 35.891171 stepsize= 1.000000
+dualbound = 3668481.597832, lowerbound=1298999.597832, norm of subgrad 1140.291453 dualbound = 3668481.597832, lowerbound=1298999.597832, norm of subgrad 36.360607 stepsize= 1.000000
+dualbound = 3668514.761295, lowerbound=1295811.761295, norm of subgrad 1138.898486 dualbound = 3668514.761295, lowerbound=1295811.761295, norm of subgrad 36.209991 stepsize= 1.000000
+dualbound = 3668603.039531, lowerbound=1296305.039531, norm of subgrad 1139.107124 dualbound = 3668603.039531, lowerbound=1296305.039531, norm of subgrad 36.718908 stepsize= 1.000000
+dualbound = 3668656.659070, lowerbound=1295923.659070, norm of subgrad 1138.940147 dualbound = 3668656.659070, lowerbound=1295923.659070, norm of subgrad 36.257682 stepsize= 1.000000
+dualbound = 3668728.384392, lowerbound=1298808.384392, norm of subgrad 1140.215938 dualbound = 3668728.384392, lowerbound=1298808.384392, norm of subgrad 36.820175 stepsize= 1.000000
+dualbound = 3668777.023790, lowerbound=1294944.023790, norm of subgrad 1138.512197 dualbound = 3668777.023790, lowerbound=1294944.023790, norm of subgrad 36.257956 stepsize= 1.000000
+dualbound = 3668849.148326, lowerbound=1299397.148326, norm of subgrad 1140.467513 dualbound = 3668849.148326, lowerbound=1299397.148326, norm of subgrad 36.621367 stepsize= 1.000000
+dualbound = 3668929.983599, lowerbound=1295089.983599, norm of subgrad 1138.550826 dualbound = 3668929.983599, lowerbound=1295089.983599, norm of subgrad 35.900352 stepsize= 1.000000
+dualbound = 3668995.061880, lowerbound=1301343.061880, norm of subgrad 1141.278258 dualbound = 3668995.061880, lowerbound=1301343.061880, norm of subgrad 35.186337 stepsize= 1.000000
+dualbound = 3669058.423980, lowerbound=1296537.423980, norm of subgrad 1139.189371 dualbound = 3669058.423980, lowerbound=1296537.423980, norm of subgrad 35.754190 stepsize= 1.000000
+dualbound = 3669122.229842, lowerbound=1295720.229842, norm of subgrad 1138.838983 dualbound = 3669122.229842, lowerbound=1295720.229842, norm of subgrad 36.025073 stepsize= 1.000000
+dualbound = 3669168.157269, lowerbound=1296368.157269, norm of subgrad 1139.122538 dualbound = 3669168.157269, lowerbound=1296368.157269, norm of subgrad 35.748111 stepsize= 1.000000
+dualbound = 3669237.157510, lowerbound=1294182.157510, norm of subgrad 1138.161306 dualbound = 3669237.157510, lowerbound=1294182.157510, norm of subgrad 36.027770 stepsize= 1.000000
+dualbound = 3669319.609515, lowerbound=1296708.609515, norm of subgrad 1139.267137 dualbound = 3669319.609515, lowerbound=1296708.609515, norm of subgrad 36.103352 stepsize= 1.000000
+dualbound = 3669376.345221, lowerbound=1298456.345221, norm of subgrad 1140.048396 dualbound = 3669376.345221, lowerbound=1298456.345221, norm of subgrad 36.204084 stepsize= 1.000000
+dualbound = 3669433.881814, lowerbound=1294646.881814, norm of subgrad 1138.386086 dualbound = 3669433.881814, lowerbound=1294646.881814, norm of subgrad 36.517620 stepsize= 1.000000
+dualbound = 3669500.688315, lowerbound=1296896.688315, norm of subgrad 1139.357138 dualbound = 3669500.688315, lowerbound=1296896.688315, norm of subgrad 36.122105 stepsize= 1.000000
+dualbound = 3669566.899278, lowerbound=1292119.899278, norm of subgrad 1137.246191 dualbound = 3669566.899278, lowerbound=1292119.899278, norm of subgrad 35.710096 stepsize= 1.000000
+dualbound = 3669643.404920, lowerbound=1295934.404920, norm of subgrad 1138.925109 dualbound = 3669643.404920, lowerbound=1295934.404920, norm of subgrad 35.951434 stepsize= 1.000000
+dualbound = 3669717.849455, lowerbound=1295007.849455, norm of subgrad 1138.517830 dualbound = 3669717.849455, lowerbound=1295007.849455, norm of subgrad 35.908836 stepsize= 1.000000
+dualbound = 3669757.202120, lowerbound=1296255.202120, norm of subgrad 1139.079542 dualbound = 3669757.202120, lowerbound=1296255.202120, norm of subgrad 35.865759 stepsize= 1.000000
+dualbound = 3669824.169094, lowerbound=1293614.169094, norm of subgrad 1137.920546 dualbound = 3669824.169094, lowerbound=1293614.169094, norm of subgrad 36.276259 stepsize= 1.000000
+dualbound = 3669897.354810, lowerbound=1295665.354810, norm of subgrad 1138.811378 dualbound = 3669897.354810, lowerbound=1295665.354810, norm of subgrad 36.044219 stepsize= 1.000000
+dualbound = 3669940.737407, lowerbound=1294142.737407, norm of subgrad 1138.142231 dualbound = 3669940.737407, lowerbound=1294142.737407, norm of subgrad 35.614359 stepsize= 1.000000
+dualbound = 3670019.940325, lowerbound=1300795.940325, norm of subgrad 1141.086737 dualbound = 3670019.940325, lowerbound=1300795.940325, norm of subgrad 36.908033 stepsize= 1.000000
+dualbound = 3670066.735755, lowerbound=1295388.735755, norm of subgrad 1138.700898 dualbound = 3670066.735755, lowerbound=1295388.735755, norm of subgrad 36.024928 stepsize= 1.000000
+dualbound = 3670147.887721, lowerbound=1299229.887721, norm of subgrad 1140.381904 dualbound = 3670147.887721, lowerbound=1299229.887721, norm of subgrad 36.361408 stepsize= 1.000000
+dualbound = 3670222.868383, lowerbound=1293399.868383, norm of subgrad 1137.824621 dualbound = 3670222.868383, lowerbound=1293399.868383, norm of subgrad 36.331538 stepsize= 1.000000
+dualbound = 3670299.722331, lowerbound=1301466.722331, norm of subgrad 1141.381497 dualbound = 3670299.722331, lowerbound=1301466.722331, norm of subgrad 36.903305 stepsize= 1.000000
+dualbound = 3670333.266305, lowerbound=1296861.266305, norm of subgrad 1139.362658 dualbound = 3670333.266305, lowerbound=1296861.266305, norm of subgrad 36.325528 stepsize= 1.000000
+dualbound = 3670396.081640, lowerbound=1300705.081640, norm of subgrad 1141.055249 dualbound = 3670396.081640, lowerbound=1300705.081640, norm of subgrad 36.943407 stepsize= 1.000000
+dualbound = 3670463.172136, lowerbound=1298065.172136, norm of subgrad 1139.889982 dualbound = 3670463.172136, lowerbound=1298065.172136, norm of subgrad 36.757183 stepsize= 1.000000
+dualbound = 3670532.931136, lowerbound=1301988.931136, norm of subgrad 1141.589213 dualbound = 3670532.931136, lowerbound=1301988.931136, norm of subgrad 36.149122 stepsize= 1.000000
+dualbound = 3670597.572090, lowerbound=1291049.572090, norm of subgrad 1136.792669 dualbound = 3670597.572090, lowerbound=1291049.572090, norm of subgrad 36.230387 stepsize= 1.000000
+dualbound = 3670656.461279, lowerbound=1299436.461279, norm of subgrad 1140.474226 dualbound = 3670656.461279, lowerbound=1299436.461279, norm of subgrad 36.109406 stepsize= 1.000000
+dualbound = 3670719.315268, lowerbound=1294500.315268, norm of subgrad 1138.319074 dualbound = 3670719.315268, lowerbound=1294500.315268, norm of subgrad 36.508273 stepsize= 1.000000
+dualbound = 3670800.188342, lowerbound=1298866.188342, norm of subgrad 1140.204889 dualbound = 3670800.188342, lowerbound=1298866.188342, norm of subgrad 35.803255 stepsize= 1.000000
+dualbound = 3670848.935413, lowerbound=1293701.935413, norm of subgrad 1137.949004 dualbound = 3670848.935413, lowerbound=1293701.935413, norm of subgrad 35.703600 stepsize= 1.000000
+dualbound = 3670940.590136, lowerbound=1298395.590136, norm of subgrad 1140.011224 dualbound = 3670940.590136, lowerbound=1298395.590136, norm of subgrad 36.354569 stepsize= 1.000000
+dualbound = 3670994.683711, lowerbound=1293178.683711, norm of subgrad 1137.730497 dualbound = 3670994.683711, lowerbound=1293178.683711, norm of subgrad 36.139917 stepsize= 1.000000
+dualbound = 3671065.445427, lowerbound=1294712.445427, norm of subgrad 1138.401267 dualbound = 3671065.445427, lowerbound=1294712.445427, norm of subgrad 36.273430 stepsize= 1.000000
+dualbound = 3671114.242219, lowerbound=1293054.242219, norm of subgrad 1137.700418 dualbound = 3671114.242219, lowerbound=1293054.242219, norm of subgrad 36.834723 stepsize= 1.000000
+dualbound = 3671182.379206, lowerbound=1301980.379206, norm of subgrad 1141.583715 dualbound = 3671182.379206, lowerbound=1301980.379206, norm of subgrad 36.071276 stepsize= 1.000000
+dualbound = 3671248.640916, lowerbound=1297058.640916, norm of subgrad 1139.445322 dualbound = 3671248.640916, lowerbound=1297058.640916, norm of subgrad 36.650535 stepsize= 1.000000
+dualbound = 3671327.107087, lowerbound=1297186.107087, norm of subgrad 1139.483263 dualbound = 3671327.107087, lowerbound=1297186.107087, norm of subgrad 36.255567 stepsize= 1.000000
+dualbound = 3671379.234514, lowerbound=1300945.234514, norm of subgrad 1141.135940 dualbound = 3671379.234514, lowerbound=1300945.234514, norm of subgrad 36.029535 stepsize= 1.000000
+dualbound = 3671459.513382, lowerbound=1294936.513382, norm of subgrad 1138.482549 dualbound = 3671459.513382, lowerbound=1294936.513382, norm of subgrad 35.864730 stepsize= 1.000000
+dualbound = 3671517.934118, lowerbound=1297497.934118, norm of subgrad 1139.573576 dualbound = 3671517.934118, lowerbound=1297497.934118, norm of subgrad 34.473479 stepsize= 1.000000
+dualbound = 3671609.412790, lowerbound=1295422.412790, norm of subgrad 1138.712612 dualbound = 3671609.412790, lowerbound=1295422.412790, norm of subgrad 36.544202 stepsize= 1.000000
+dualbound = 3671639.657668, lowerbound=1298221.657668, norm of subgrad 1139.969148 dualbound = 3671639.657668, lowerbound=1298221.657668, norm of subgrad 36.582029 stepsize= 1.000000
+dualbound = 3671702.222442, lowerbound=1296710.222442, norm of subgrad 1139.271795 dualbound = 3671702.222442, lowerbound=1296710.222442, norm of subgrad 35.952257 stepsize= 1.000000
+dualbound = 3671761.805975, lowerbound=1297146.805975, norm of subgrad 1139.459875 dualbound = 3671761.805975, lowerbound=1297146.805975, norm of subgrad 35.799211 stepsize= 1.000000
+dualbound = 3671837.827540, lowerbound=1299645.827540, norm of subgrad 1140.554176 dualbound = 3671837.827540, lowerbound=1299645.827540, norm of subgrad 35.972511 stepsize= 1.000000
+dualbound = 3671900.039983, lowerbound=1292953.039983, norm of subgrad 1137.615506 dualbound = 3671900.039983, lowerbound=1292953.039983, norm of subgrad 35.752097 stepsize= 1.000000
+dualbound = 3671983.938390, lowerbound=1295756.938390, norm of subgrad 1138.844124 dualbound = 3671983.938390, lowerbound=1295756.938390, norm of subgrad 35.956897 stepsize= 1.000000
+dualbound = 3672024.060726, lowerbound=1298224.060726, norm of subgrad 1139.938621 dualbound = 3672024.060726, lowerbound=1298224.060726, norm of subgrad 35.722855 stepsize= 1.000000
+dualbound = 3672095.033372, lowerbound=1299803.033372, norm of subgrad 1140.632295 dualbound = 3672095.033372, lowerbound=1299803.033372, norm of subgrad 36.193544 stepsize= 1.000000
+dualbound = 3672133.129906, lowerbound=1300305.129906, norm of subgrad 1140.870339 dualbound = 3672133.129906, lowerbound=1300305.129906, norm of subgrad 36.305599 stepsize= 1.000000
+dualbound = 3672223.291510, lowerbound=1299406.291510, norm of subgrad 1140.455739 dualbound = 3672223.291510, lowerbound=1299406.291510, norm of subgrad 36.375288 stepsize= 1.000000
+dualbound = 3672277.631036, lowerbound=1298051.631036, norm of subgrad 1139.843687 dualbound = 3672277.631036, lowerbound=1298051.631036, norm of subgrad 35.303534 stepsize= 1.000000
+dualbound = 3672367.840727, lowerbound=1293519.840727, norm of subgrad 1137.857127 dualbound = 3672367.840727, lowerbound=1293519.840727, norm of subgrad 35.905566 stepsize= 1.000000
+dualbound = 3672405.908261, lowerbound=1296910.908261, norm of subgrad 1139.379616 dualbound = 3672405.908261, lowerbound=1296910.908261, norm of subgrad 36.236274 stepsize= 1.000000
+dualbound = 3672473.524163, lowerbound=1297842.524163, norm of subgrad 1139.763802 dualbound = 3672473.524163, lowerbound=1297842.524163, norm of subgrad 35.869429 stepsize= 1.000000
+dualbound = 3672535.413875, lowerbound=1297027.413875, norm of subgrad 1139.419771 dualbound = 3672535.413875, lowerbound=1297027.413875, norm of subgrad 36.220018 stepsize= 1.000000
+dualbound = 3672593.425690, lowerbound=1290397.425690, norm of subgrad 1136.526914 dualbound = 3672593.425690, lowerbound=1290397.425690, norm of subgrad 36.796900 stepsize= 1.000000
+dualbound = 3672652.699482, lowerbound=1300287.699482, norm of subgrad 1140.856126 dualbound = 3672652.699482, lowerbound=1300287.699482, norm of subgrad 36.390573 stepsize= 1.000000
+dualbound = 3672744.122456, lowerbound=1292996.122456, norm of subgrad 1137.622575 dualbound = 3672744.122456, lowerbound=1292996.122456, norm of subgrad 35.782998 stepsize= 1.000000
+dualbound = 3672807.583442, lowerbound=1297239.583442, norm of subgrad 1139.526035 dualbound = 3672807.583442, lowerbound=1297239.583442, norm of subgrad 36.653253 stepsize= 1.000000
+dualbound = 3672858.331694, lowerbound=1298085.331694, norm of subgrad 1139.883473 dualbound = 3672858.331694, lowerbound=1298085.331694, norm of subgrad 36.052021 stepsize= 1.000000
+dualbound = 3672914.262260, lowerbound=1291452.262260, norm of subgrad 1136.972850 dualbound = 3672914.262260, lowerbound=1291452.262260, norm of subgrad 36.206775 stepsize= 1.000000
+dualbound = 3672990.408799, lowerbound=1304956.408799, norm of subgrad 1142.896062 dualbound = 3672990.408799, lowerbound=1304956.408799, norm of subgrad 36.484881 stepsize= 1.000000
+dualbound = 3673042.367485, lowerbound=1292864.367485, norm of subgrad 1137.587521 dualbound = 3673042.367485, lowerbound=1292864.367485, norm of subgrad 35.957735 stepsize= 1.000000
+dualbound = 3673100.509725, lowerbound=1300143.509725, norm of subgrad 1140.793369 dualbound = 3673100.509725, lowerbound=1300143.509725, norm of subgrad 36.388765 stepsize= 1.000000
+dualbound = 3673169.745497, lowerbound=1289446.745497, norm of subgrad 1136.073829 dualbound = 3673169.745497, lowerbound=1289446.745497, norm of subgrad 35.864129 stepsize= 1.000000
+dualbound = 3673254.418834, lowerbound=1301734.418834, norm of subgrad 1141.465908 dualbound = 3673254.418834, lowerbound=1301734.418834, norm of subgrad 35.981569 stepsize= 1.000000
+dualbound = 3673318.970322, lowerbound=1294098.970322, norm of subgrad 1138.149362 dualbound = 3673318.970322, lowerbound=1294098.970322, norm of subgrad 36.736242 stepsize= 1.000000
+dualbound = 3673375.539590, lowerbound=1297604.539590, norm of subgrad 1139.651938 dualbound = 3673375.539590, lowerbound=1297604.539590, norm of subgrad 35.476320 stepsize= 1.000000
+dualbound = 3673450.973310, lowerbound=1294457.973310, norm of subgrad 1138.291252 dualbound = 3673450.973310, lowerbound=1294457.973310, norm of subgrad 36.392770 stepsize= 1.000000
+dualbound = 3673514.811993, lowerbound=1297742.811993, norm of subgrad 1139.707775 dualbound = 3673514.811993, lowerbound=1297742.811993, norm of subgrad 35.423702 stepsize= 1.000000
+dualbound = 3673566.511726, lowerbound=1300398.511726, norm of subgrad 1140.874012 dualbound = 3673566.511726, lowerbound=1300398.511726, norm of subgrad 35.308635 stepsize= 1.000000
+dualbound = 3673655.968187, lowerbound=1295125.968187, norm of subgrad 1138.586390 dualbound = 3673655.968187, lowerbound=1295125.968187, norm of subgrad 36.639548 stepsize= 1.000000
+dualbound = 3673668.619503, lowerbound=1298689.619503, norm of subgrad 1140.156401 dualbound = 3673668.619503, lowerbound=1298689.619503, norm of subgrad 35.772214 stepsize= 1.000000
+dualbound = 3673755.633237, lowerbound=1295166.633237, norm of subgrad 1138.636304 dualbound = 3673755.633237, lowerbound=1295166.633237, norm of subgrad 37.590075 stepsize= 1.000000
+dualbound = 3673798.318284, lowerbound=1299458.318284, norm of subgrad 1140.472410 dualbound = 3673798.318284, lowerbound=1299458.318284, norm of subgrad 35.520206 stepsize= 1.000000
+dualbound = 3673916.377382, lowerbound=1296047.377382, norm of subgrad 1138.965486 dualbound = 3673916.377382, lowerbound=1296047.377382, norm of subgrad 36.236157 stepsize= 1.000000
+dualbound = 3673985.147131, lowerbound=1300598.147131, norm of subgrad 1140.952298 dualbound = 3673985.147131, lowerbound=1300598.147131, norm of subgrad 35.252940 stepsize= 1.000000
+dualbound = 3674046.397987, lowerbound=1297254.397987, norm of subgrad 1139.521565 dualbound = 3674046.397987, lowerbound=1297254.397987, norm of subgrad 36.280172 stepsize= 1.000000
+dualbound = 3674066.463986, lowerbound=1296860.463986, norm of subgrad 1139.357040 dualbound = 3674066.463986, lowerbound=1296860.463986, norm of subgrad 35.973129 stepsize= 1.000000
+dualbound = 3674170.010685, lowerbound=1298920.010685, norm of subgrad 1140.255239 dualbound = 3674170.010685, lowerbound=1298920.010685, norm of subgrad 36.953304 stepsize= 1.000000
+dualbound = 3674207.697038, lowerbound=1300638.697038, norm of subgrad 1140.998991 dualbound = 3674207.697038, lowerbound=1300638.697038, norm of subgrad 35.744739 stepsize= 1.000000
+dualbound = 3674295.555536, lowerbound=1300995.555536, norm of subgrad 1141.165876 dualbound = 3674295.555536, lowerbound=1300995.555536, norm of subgrad 36.767628 stepsize= 1.000000
+dualbound = 3674349.771643, lowerbound=1297331.771643, norm of subgrad 1139.527433 dualbound = 3674349.771643, lowerbound=1297331.771643, norm of subgrad 35.287620 stepsize= 1.000000
+dualbound = 3674413.646429, lowerbound=1298681.646429, norm of subgrad 1140.162114 dualbound = 3674413.646429, lowerbound=1298681.646429, norm of subgrad 36.767850 stepsize= 1.000000
+dualbound = 3674474.606561, lowerbound=1289188.606561, norm of subgrad 1135.938646 dualbound = 3674474.606561, lowerbound=1289188.606561, norm of subgrad 35.056528 stepsize= 1.000000
+dualbound = 3674569.975124, lowerbound=1299753.975124, norm of subgrad 1140.577036 dualbound = 3674569.975124, lowerbound=1299753.975124, norm of subgrad 35.459393 stepsize= 1.000000
+dualbound = 3674614.450750, lowerbound=1293239.450750, norm of subgrad 1137.762915 dualbound = 3674614.450750, lowerbound=1293239.450750, norm of subgrad 36.186677 stepsize= 1.000000
+dualbound = 3674669.627301, lowerbound=1296891.627301, norm of subgrad 1139.353162 dualbound = 3674669.627301, lowerbound=1296891.627301, norm of subgrad 35.905105 stepsize= 1.000000
+dualbound = 3674735.105916, lowerbound=1296338.105916, norm of subgrad 1139.099252 dualbound = 3674735.105916, lowerbound=1296338.105916, norm of subgrad 35.699841 stepsize= 1.000000
+dualbound = 3674816.332189, lowerbound=1302453.332189, norm of subgrad 1141.778583 dualbound = 3674816.332189, lowerbound=1302453.332189, norm of subgrad 35.863997 stepsize= 1.000000
+dualbound = 3674889.617333, lowerbound=1293003.617333, norm of subgrad 1137.630264 dualbound = 3674889.617333, lowerbound=1293003.617333, norm of subgrad 35.669106 stepsize= 1.000000
+dualbound = 3674945.488435, lowerbound=1293556.488435, norm of subgrad 1137.894322 dualbound = 3674945.488435, lowerbound=1293556.488435, norm of subgrad 36.095306 stepsize= 1.000000
+dualbound = 3674994.109943, lowerbound=1294259.109943, norm of subgrad 1138.188082 dualbound = 3674994.109943, lowerbound=1294259.109943, norm of subgrad 35.519312 stepsize= 1.000000
+dualbound = 3675064.250178, lowerbound=1297536.250178, norm of subgrad 1139.639965 dualbound = 3675064.250178, lowerbound=1297536.250178, norm of subgrad 36.237277 stepsize= 1.000000
+dualbound = 3675111.382563, lowerbound=1296878.382563, norm of subgrad 1139.349982 dualbound = 3675111.382563, lowerbound=1296878.382563, norm of subgrad 35.876627 stepsize= 1.000000
+dualbound = 3675208.587866, lowerbound=1298965.587866, norm of subgrad 1140.248476 dualbound = 3675208.587866, lowerbound=1298965.587866, norm of subgrad 36.030616 stepsize= 1.000000
+dualbound = 3675272.919272, lowerbound=1294242.919272, norm of subgrad 1138.197663 dualbound = 3675272.919272, lowerbound=1294242.919272, norm of subgrad 36.267498 stepsize= 1.000000
+dualbound = 3675316.502929, lowerbound=1297842.502929, norm of subgrad 1139.780024 dualbound = 3675316.502929, lowerbound=1297842.502929, norm of subgrad 36.049739 stepsize= 1.000000
+dualbound = 3675393.842388, lowerbound=1295642.842388, norm of subgrad 1138.788761 dualbound = 3675393.842388, lowerbound=1295642.842388, norm of subgrad 35.697892 stepsize= 1.000000
+dualbound = 3675468.310937, lowerbound=1291844.310937, norm of subgrad 1137.127658 dualbound = 3675468.310937, lowerbound=1291844.310937, norm of subgrad 35.909171 stepsize= 1.000000
+dualbound = 3675516.413539, lowerbound=1300017.413539, norm of subgrad 1140.751688 dualbound = 3675516.413539, lowerbound=1300017.413539, norm of subgrad 36.675640 stepsize= 1.000000
+dualbound = 3675587.208880, lowerbound=1294177.208880, norm of subgrad 1138.145952 dualbound = 3675587.208880, lowerbound=1294177.208880, norm of subgrad 35.634188 stepsize= 1.000000
+dualbound = 3675668.584624, lowerbound=1297814.584624, norm of subgrad 1139.780498 dualbound = 3675668.584624, lowerbound=1297814.584624, norm of subgrad 36.964520 stepsize= 1.000000
+dualbound = 3675728.353058, lowerbound=1298416.353058, norm of subgrad 1140.029102 dualbound = 3675728.353058, lowerbound=1298416.353058, norm of subgrad 36.190723 stepsize= 1.000000
+dualbound = 3675801.213307, lowerbound=1296303.213307, norm of subgrad 1139.089642 dualbound = 3675801.213307, lowerbound=1296303.213307, norm of subgrad 35.984167 stepsize= 1.000000
+dualbound = 3675855.230108, lowerbound=1292983.230108, norm of subgrad 1137.640202 dualbound = 3675855.230108, lowerbound=1292983.230108, norm of subgrad 36.000233 stepsize= 1.000000
+dualbound = 3675908.497417, lowerbound=1301834.497417, norm of subgrad 1141.522885 dualbound = 3675908.497417, lowerbound=1301834.497417, norm of subgrad 35.962026 stepsize= 1.000000
+dualbound = 3675977.033730, lowerbound=1294708.033730, norm of subgrad 1138.403722 dualbound = 3675977.033730, lowerbound=1294708.033730, norm of subgrad 36.380439 stepsize= 1.000000
+dualbound = 3676055.398738, lowerbound=1306201.398738, norm of subgrad 1143.413923 dualbound = 3676055.398738, lowerbound=1306201.398738, norm of subgrad 35.670226 stepsize= 1.000000
+dualbound = 3676137.001160, lowerbound=1290093.001160, norm of subgrad 1136.371859 dualbound = 3676137.001160, lowerbound=1290093.001160, norm of subgrad 36.463714 stepsize= 1.000000
+dualbound = 3676172.286376, lowerbound=1300001.286376, norm of subgrad 1140.703856 dualbound = 3676172.286376, lowerbound=1300001.286376, norm of subgrad 35.203483 stepsize= 1.000000
+dualbound = 3676283.492659, lowerbound=1290002.492659, norm of subgrad 1136.297273 dualbound = 3676283.492659, lowerbound=1290002.492659, norm of subgrad 35.779970 stepsize= 1.000000
+dualbound = 3676313.551584, lowerbound=1295787.551584, norm of subgrad 1138.853174 dualbound = 3676313.551584, lowerbound=1295787.551584, norm of subgrad 35.057937 stepsize= 1.000000
+dualbound = 3676373.334154, lowerbound=1296656.334154, norm of subgrad 1139.268772 dualbound = 3676373.334154, lowerbound=1296656.334154, norm of subgrad 36.562037 stepsize= 1.000000
+dualbound = 3676419.675813, lowerbound=1300772.675813, norm of subgrad 1141.033600 dualbound = 3676419.675813, lowerbound=1300772.675813, norm of subgrad 35.090478 stepsize= 1.000000
+dualbound = 3676537.437016, lowerbound=1295550.437016, norm of subgrad 1138.725356 dualbound = 3676537.437016, lowerbound=1295550.437016, norm of subgrad 35.535351 stepsize= 1.000000
+dualbound = 3676582.334717, lowerbound=1298995.334717, norm of subgrad 1140.261082 dualbound = 3676582.334717, lowerbound=1298995.334717, norm of subgrad 35.283108 stepsize= 1.000000
+dualbound = 3676627.858377, lowerbound=1298549.858377, norm of subgrad 1140.108266 dualbound = 3676627.858377, lowerbound=1298549.858377, norm of subgrad 36.640465 stepsize= 1.000000
+dualbound = 3676686.447156, lowerbound=1295037.447156, norm of subgrad 1138.539612 dualbound = 3676686.447156, lowerbound=1295037.447156, norm of subgrad 35.966495 stepsize= 1.000000
+dualbound = 3676752.850823, lowerbound=1299482.850823, norm of subgrad 1140.518238 dualbound = 3676752.850823, lowerbound=1299482.850823, norm of subgrad 36.951369 stepsize= 1.000000
+dualbound = 3676792.650743, lowerbound=1297217.650743, norm of subgrad 1139.511146 dualbound = 3676792.650743, lowerbound=1297217.650743, norm of subgrad 36.163516 stepsize= 1.000000
+dualbound = 3676879.977458, lowerbound=1298867.977458, norm of subgrad 1140.239439 dualbound = 3676879.977458, lowerbound=1298867.977458, norm of subgrad 36.950328 stepsize= 1.000000
+dualbound = 3676949.286814, lowerbound=1297120.286814, norm of subgrad 1139.473250 dualbound = 3676949.286814, lowerbound=1297120.286814, norm of subgrad 36.719332 stepsize= 1.000000
+dualbound = 3677005.876938, lowerbound=1299469.876938, norm of subgrad 1140.516496 dualbound = 3677005.876938, lowerbound=1299469.876938, norm of subgrad 36.940359 stepsize= 1.000000
+dualbound = 3677071.434171, lowerbound=1298584.434171, norm of subgrad 1140.090538 dualbound = 3677071.434171, lowerbound=1298584.434171, norm of subgrad 35.882548 stepsize= 1.000000
+dualbound = 3677154.673730, lowerbound=1298102.673730, norm of subgrad 1139.884939 dualbound = 3677154.673730, lowerbound=1298102.673730, norm of subgrad 36.307569 stepsize= 1.000000
+dualbound = 3677194.221338, lowerbound=1294856.221338, norm of subgrad 1138.486812 dualbound = 3677194.221338, lowerbound=1294856.221338, norm of subgrad 36.545145 stepsize= 1.000000
+dualbound = 3677270.726519, lowerbound=1300269.726519, norm of subgrad 1140.860520 dualbound = 3677270.726519, lowerbound=1300269.726519, norm of subgrad 37.006826 stepsize= 1.000000
+dualbound = 3677341.858344, lowerbound=1298223.858344, norm of subgrad 1139.919233 dualbound = 3677341.858344, lowerbound=1298223.858344, norm of subgrad 35.540566 stepsize= 1.000000
+dualbound = 3677416.442265, lowerbound=1303521.442265, norm of subgrad 1142.252793 dualbound = 3677416.442265, lowerbound=1303521.442265, norm of subgrad 35.980327 stepsize= 1.000000
+dualbound = 3677450.471300, lowerbound=1294120.471300, norm of subgrad 1138.152657 dualbound = 3677450.471300, lowerbound=1294120.471300, norm of subgrad 36.125186 stepsize= 1.000000
+dualbound = 3677545.131842, lowerbound=1298748.131842, norm of subgrad 1140.158380 dualbound = 3677545.131842, lowerbound=1298748.131842, norm of subgrad 36.161589 stepsize= 1.000000
+dualbound = 3677589.346016, lowerbound=1294817.346016, norm of subgrad 1138.447779 dualbound = 3677589.346016, lowerbound=1294817.346016, norm of subgrad 35.919551 stepsize= 1.000000
+dualbound = 3677665.459132, lowerbound=1300526.459132, norm of subgrad 1140.950682 dualbound = 3677665.459132, lowerbound=1300526.459132, norm of subgrad 36.305828 stepsize= 1.000000
+dualbound = 3677706.079922, lowerbound=1295342.079922, norm of subgrad 1138.692267 dualbound = 3677706.079922, lowerbound=1295342.079922, norm of subgrad 36.312819 stepsize= 1.000000
+dualbound = 3677768.967550, lowerbound=1299708.967550, norm of subgrad 1140.580540 dualbound = 3677768.967550, lowerbound=1299708.967550, norm of subgrad 35.747554 stepsize= 1.000000
+dualbound = 3677830.276934, lowerbound=1291272.276934, norm of subgrad 1136.886660 dualbound = 3677830.276934, lowerbound=1291272.276934, norm of subgrad 36.059803 stepsize= 1.000000
+dualbound = 3677928.495757, lowerbound=1302029.495757, norm of subgrad 1141.587270 dualbound = 3677928.495757, lowerbound=1302029.495757, norm of subgrad 35.919616 stepsize= 1.000000
+dualbound = 3677977.989765, lowerbound=1287773.989765, norm of subgrad 1135.343556 dualbound = 3677977.989765, lowerbound=1287773.989765, norm of subgrad 35.783991 stepsize= 1.000000
+dualbound = 3678035.475127, lowerbound=1300342.475127, norm of subgrad 1140.865231 dualbound = 3678035.475127, lowerbound=1300342.475127, norm of subgrad 35.895478 stepsize= 1.000000
+dualbound = 3678117.934696, lowerbound=1292836.934696, norm of subgrad 1137.592605 dualbound = 3678117.934696, lowerbound=1292836.934696, norm of subgrad 36.911510 stepsize= 1.000000
+dualbound = 3678138.402465, lowerbound=1302355.402465, norm of subgrad 1141.784306 dualbound = 3678138.402465, lowerbound=1302355.402465, norm of subgrad 36.557732 stepsize= 1.000000
+dualbound = 3678224.761229, lowerbound=1299078.761229, norm of subgrad 1140.291525 dualbound = 3678224.761229, lowerbound=1299078.761229, norm of subgrad 35.670138 stepsize= 1.000000
+dualbound = 3678309.715263, lowerbound=1301786.715263, norm of subgrad 1141.501518 dualbound = 3678309.715263, lowerbound=1301786.715263, norm of subgrad 36.386179 stepsize= 1.000000
+dualbound = 3678349.179175, lowerbound=1294589.179175, norm of subgrad 1138.355032 dualbound = 3678349.179175, lowerbound=1294589.179175, norm of subgrad 36.089665 stepsize= 1.000000
+dualbound = 3678430.125560, lowerbound=1301812.125560, norm of subgrad 1141.493813 dualbound = 3678430.125560, lowerbound=1301812.125560, norm of subgrad 35.734387 stepsize= 1.000000
+dualbound = 3678483.008759, lowerbound=1294434.008759, norm of subgrad 1138.275015 dualbound = 3678483.008759, lowerbound=1294434.008759, norm of subgrad 35.901019 stepsize= 1.000000
+dualbound = 3678534.557524, lowerbound=1298833.557524, norm of subgrad 1140.225661 dualbound = 3678534.557524, lowerbound=1298833.557524, norm of subgrad 36.504092 stepsize= 1.000000
+dualbound = 3678612.302461, lowerbound=1292817.302461, norm of subgrad 1137.550571 dualbound = 3678612.302461, lowerbound=1292817.302461, norm of subgrad 35.801466 stepsize= 1.000000
+dualbound = 3678703.861695, lowerbound=1300554.861695, norm of subgrad 1140.961376 dualbound = 3678703.861695, lowerbound=1300554.861695, norm of subgrad 36.463122 stepsize= 1.000000
+dualbound = 3678754.521113, lowerbound=1293871.521113, norm of subgrad 1138.047680 dualbound = 3678754.521113, lowerbound=1293871.521113, norm of subgrad 36.491909 stepsize= 1.000000
+dualbound = 3678818.412928, lowerbound=1307842.412928, norm of subgrad 1144.146587 dualbound = 3678818.412928, lowerbound=1307842.412928, norm of subgrad 35.956805 stepsize= 1.000000
+dualbound = 3678890.035014, lowerbound=1296659.035014, norm of subgrad 1139.259863 dualbound = 3678890.035014, lowerbound=1296659.035014, norm of subgrad 36.409093 stepsize= 1.000000
+dualbound = 3678946.013735, lowerbound=1296623.013735, norm of subgrad 1139.249759 dualbound = 3678946.013735, lowerbound=1296623.013735, norm of subgrad 36.372774 stepsize= 1.000000
+dualbound = 3678978.768928, lowerbound=1294105.768928, norm of subgrad 1138.161135 dualbound = 3678978.768928, lowerbound=1294105.768928, norm of subgrad 36.575336 stepsize= 1.000000
+dualbound = 3679070.290581, lowerbound=1294659.290581, norm of subgrad 1138.349810 dualbound = 3679070.290581, lowerbound=1294659.290581, norm of subgrad 35.672421 stepsize= 1.000000
+dualbound = 3679136.459948, lowerbound=1297439.459948, norm of subgrad 1139.596622 dualbound = 3679136.459948, lowerbound=1297439.459948, norm of subgrad 36.154797 stepsize= 1.000000
+dualbound = 3679185.664234, lowerbound=1295496.664234, norm of subgrad 1138.759704 dualbound = 3679185.664234, lowerbound=1295496.664234, norm of subgrad 36.417088 stepsize= 1.000000
+dualbound = 3679222.776745, lowerbound=1300191.776745, norm of subgrad 1140.829863 dualbound = 3679222.776745, lowerbound=1300191.776745, norm of subgrad 36.580220 stepsize= 1.000000
+dualbound = 3679316.360746, lowerbound=1296160.360746, norm of subgrad 1139.016840 dualbound = 3679316.360746, lowerbound=1296160.360746, norm of subgrad 35.952524 stepsize= 1.000000
+dualbound = 3679403.224583, lowerbound=1291689.224583, norm of subgrad 1137.041875 dualbound = 3679403.224583, lowerbound=1291689.224583, norm of subgrad 35.522723 stepsize= 1.000000
+dualbound = 3679453.734633, lowerbound=1299325.734633, norm of subgrad 1140.441465 dualbound = 3679453.734633, lowerbound=1299325.734633, norm of subgrad 36.489862 stepsize= 1.000000
+dualbound = 3679496.228299, lowerbound=1297950.228299, norm of subgrad 1139.824648 dualbound = 3679496.228299, lowerbound=1297950.228299, norm of subgrad 35.951268 stepsize= 1.000000
+dualbound = 3679605.540939, lowerbound=1302658.540939, norm of subgrad 1141.854869 dualbound = 3679605.540939, lowerbound=1302658.540939, norm of subgrad 35.823353 stepsize= 1.000000
+dualbound = 3679666.477014, lowerbound=1300590.477014, norm of subgrad 1140.953319 dualbound = 3679666.477014, lowerbound=1300590.477014, norm of subgrad 35.283652 stepsize= 1.000000
+dualbound = 3679724.903391, lowerbound=1291920.903391, norm of subgrad 1137.178044 dualbound = 3679724.903391, lowerbound=1291920.903391, norm of subgrad 36.213621 stepsize= 1.000000
+dualbound = 3679790.631252, lowerbound=1296619.631252, norm of subgrad 1139.210969 dualbound = 3679790.631252, lowerbound=1296619.631252, norm of subgrad 35.323192 stepsize= 1.000000
+dualbound = 3679857.394019, lowerbound=1294357.394019, norm of subgrad 1138.246631 dualbound = 3679857.394019, lowerbound=1294357.394019, norm of subgrad 36.259658 stepsize= 1.000000
+dualbound = 3679888.843468, lowerbound=1299376.843468, norm of subgrad 1140.457734 dualbound = 3679888.843468, lowerbound=1299376.843468, norm of subgrad 36.034004 stepsize= 1.000000
+dualbound = 3679990.352438, lowerbound=1294904.352438, norm of subgrad 1138.474133 dualbound = 3679990.352438, lowerbound=1294904.352438, norm of subgrad 36.338808 stepsize= 1.000000
+dualbound = 3680020.036384, lowerbound=1300698.036384, norm of subgrad 1141.010971 dualbound = 3680020.036384, lowerbound=1300698.036384, norm of subgrad 35.180733 stepsize= 1.000000
+dualbound = 3680115.836989, lowerbound=1292693.836989, norm of subgrad 1137.503774 dualbound = 3680115.836989, lowerbound=1292693.836989, norm of subgrad 36.287747 stepsize= 1.000000
+dualbound = 3680166.410768, lowerbound=1298781.410768, norm of subgrad 1140.185253 dualbound = 3680166.410768, lowerbound=1298781.410768, norm of subgrad 35.938472 stepsize= 1.000000
+dualbound = 3680254.214078, lowerbound=1296262.214078, norm of subgrad 1139.077352 dualbound = 3680254.214078, lowerbound=1296262.214078, norm of subgrad 36.370363 stepsize= 1.000000
+dualbound = 3680262.600127, lowerbound=1299263.600127, norm of subgrad 1140.429130 dualbound = 3680262.600127, lowerbound=1299263.600127, norm of subgrad 36.378373 stepsize= 1.000000
+dualbound = 3680359.857320, lowerbound=1300653.857320, norm of subgrad 1141.028421 dualbound = 3680359.857320, lowerbound=1300653.857320, norm of subgrad 37.272741 stepsize= 1.000000
+dualbound = 3680408.330645, lowerbound=1302592.330645, norm of subgrad 1141.855214 dualbound = 3680408.330645, lowerbound=1302592.330645, norm of subgrad 35.909237 stepsize= 1.000000
+dualbound = 3680491.222515, lowerbound=1297150.222515, norm of subgrad 1139.441189 dualbound = 3680491.222515, lowerbound=1297150.222515, norm of subgrad 35.480866 stepsize= 1.000000
+dualbound = 3680559.328241, lowerbound=1302417.328241, norm of subgrad 1141.769823 dualbound = 3680559.328241, lowerbound=1302417.328241, norm of subgrad 35.904119 stepsize= 1.000000
+dualbound = 3680622.298950, lowerbound=1295521.298950, norm of subgrad 1138.743737 dualbound = 3680622.298950, lowerbound=1295521.298950, norm of subgrad 35.762700 stepsize= 1.000000
+dualbound = 3680671.713914, lowerbound=1298165.713914, norm of subgrad 1139.915222 dualbound = 3680671.713914, lowerbound=1298165.713914, norm of subgrad 35.922346 stepsize= 1.000000
+dualbound = 3680765.916322, lowerbound=1293449.916322, norm of subgrad 1137.848811 dualbound = 3680765.916322, lowerbound=1293449.916322, norm of subgrad 36.663366 stepsize= 1.000000
+dualbound = 3680795.885077, lowerbound=1296946.885077, norm of subgrad 1139.364685 dualbound = 3680795.885077, lowerbound=1296946.885077, norm of subgrad 35.142122 stepsize= 1.000000
+dualbound = 3680880.786902, lowerbound=1294608.786902, norm of subgrad 1138.346514 dualbound = 3680880.786902, lowerbound=1294608.786902, norm of subgrad 36.178748 stepsize= 1.000000
+dualbound = 3680931.652860, lowerbound=1301327.652860, norm of subgrad 1141.291660 dualbound = 3680931.652860, lowerbound=1301327.652860, norm of subgrad 35.635179 stepsize= 1.000000
+dualbound = 3681028.557177, lowerbound=1296330.557177, norm of subgrad 1139.087599 dualbound = 3681028.557177, lowerbound=1296330.557177, norm of subgrad 35.873449 stepsize= 1.000000
+dualbound = 3681067.159671, lowerbound=1300949.159671, norm of subgrad 1141.123639 dualbound = 3681067.159671, lowerbound=1300949.159671, norm of subgrad 35.392125 stepsize= 1.000000
+dualbound = 3681145.282709, lowerbound=1296000.282709, norm of subgrad 1138.952274 dualbound = 3681145.282709, lowerbound=1296000.282709, norm of subgrad 35.918283 stepsize= 1.000000
+dualbound = 3681176.467790, lowerbound=1302235.467790, norm of subgrad 1141.658648 dualbound = 3681176.467790, lowerbound=1302235.467790, norm of subgrad 34.353822 stepsize= 1.000000
+dualbound = 3681295.061727, lowerbound=1291882.061727, norm of subgrad 1137.130627 dualbound = 3681295.061727, lowerbound=1291882.061727, norm of subgrad 36.091466 stepsize= 1.000000
+dualbound = 3681312.016194, lowerbound=1301486.016194, norm of subgrad 1141.378998 dualbound = 3681312.016194, lowerbound=1301486.016194, norm of subgrad 35.734500 stepsize= 1.000000
+dualbound = 3681384.702135, lowerbound=1297681.702135, norm of subgrad 1139.713430 dualbound = 3681384.702135, lowerbound=1297681.702135, norm of subgrad 36.574389 stepsize= 1.000000
+dualbound = 3681451.000452, lowerbound=1299201.000452, norm of subgrad 1140.391600 dualbound = 3681451.000452, lowerbound=1299201.000452, norm of subgrad 36.855099 stepsize= 1.000000
+dualbound = 3681500.335212, lowerbound=1301927.335212, norm of subgrad 1141.560483 dualbound = 3681500.335212, lowerbound=1301927.335212, norm of subgrad 35.809702 stepsize= 1.000000
+dualbound = 3681574.834216, lowerbound=1297674.834216, norm of subgrad 1139.685849 dualbound = 3681574.834216, lowerbound=1297674.834216, norm of subgrad 35.825954 stepsize= 1.000000
+dualbound = 3681669.934909, lowerbound=1295927.934909, norm of subgrad 1138.913050 dualbound = 3681669.934909, lowerbound=1295927.934909, norm of subgrad 35.917972 stepsize= 1.000000
+dualbound = 3681710.090981, lowerbound=1301040.090981, norm of subgrad 1141.176626 dualbound = 3681710.090981, lowerbound=1301040.090981, norm of subgrad 35.835123 stepsize= 1.000000
+dualbound = 3681754.845977, lowerbound=1301956.845977, norm of subgrad 1141.617206 dualbound = 3681754.845977, lowerbound=1301956.845977, norm of subgrad 37.118122 stepsize= 1.000000
+dualbound = 3681819.658405, lowerbound=1296202.658405, norm of subgrad 1139.045503 dualbound = 3681819.658405, lowerbound=1296202.658405, norm of subgrad 35.872168 stepsize= 1.000000
+dualbound = 3681899.466758, lowerbound=1296198.466758, norm of subgrad 1139.052881 dualbound = 3681899.466758, lowerbound=1296198.466758, norm of subgrad 36.370432 stepsize= 1.000000
+dualbound = 3681956.153288, lowerbound=1300425.153288, norm of subgrad 1140.934333 dualbound = 3681956.153288, lowerbound=1300425.153288, norm of subgrad 36.914584 stepsize= 1.000000
+dualbound = 3682009.610664, lowerbound=1293307.610664, norm of subgrad 1137.805612 dualbound = 3682009.610664, lowerbound=1293307.610664, norm of subgrad 36.707729 stepsize= 1.000000
+dualbound = 3682083.688678, lowerbound=1303395.688678, norm of subgrad 1142.185050 dualbound = 3682083.688678, lowerbound=1303395.688678, norm of subgrad 35.567935 stepsize= 1.000000
+dualbound = 3682187.550349, lowerbound=1294117.550349, norm of subgrad 1138.144345 dualbound = 3682187.550349, lowerbound=1294117.550349, norm of subgrad 36.862741 stepsize= 1.000000
+dualbound = 3682208.170785, lowerbound=1303657.170785, norm of subgrad 1142.304325 dualbound = 3682208.170785, lowerbound=1303657.170785, norm of subgrad 34.965990 stepsize= 1.000000
+dualbound = 3682318.859549, lowerbound=1293214.859549, norm of subgrad 1137.690582 dualbound = 3682318.859549, lowerbound=1293214.859549, norm of subgrad 35.152365 stepsize= 1.000000
+dualbound = 3682364.324907, lowerbound=1291809.324907, norm of subgrad 1137.096445 dualbound = 3682364.324907, lowerbound=1291809.324907, norm of subgrad 34.992361 stepsize= 1.000000
+dualbound = 3682444.049135, lowerbound=1299404.049135, norm of subgrad 1140.423627 dualbound = 3682444.049135, lowerbound=1299404.049135, norm of subgrad 35.238108 stepsize= 1.000000
+dualbound = 3682499.363057, lowerbound=1294218.363057, norm of subgrad 1138.171939 dualbound = 3682499.363057, lowerbound=1294218.363057, norm of subgrad 35.669510 stepsize= 1.000000
+dualbound = 3682539.635101, lowerbound=1295723.635101, norm of subgrad 1138.851015 dualbound = 3682539.635101, lowerbound=1295723.635101, norm of subgrad 36.031542 stepsize= 1.000000
+dualbound = 3682612.571589, lowerbound=1300850.571589, norm of subgrad 1141.068171 dualbound = 3682612.571589, lowerbound=1300850.571589, norm of subgrad 35.481495 stepsize= 1.000000
+dualbound = 3682685.398462, lowerbound=1299259.398462, norm of subgrad 1140.390897 dualbound = 3682685.398462, lowerbound=1299259.398462, norm of subgrad 36.122387 stepsize= 1.000000
+dualbound = 3682716.984880, lowerbound=1300116.984880, norm of subgrad 1140.762458 dualbound = 3682716.984880, lowerbound=1300116.984880, norm of subgrad 35.406022 stepsize= 1.000000
+dualbound = 3682810.296968, lowerbound=1297037.296968, norm of subgrad 1139.424546 dualbound = 3682810.296968, lowerbound=1297037.296968, norm of subgrad 36.664862 stepsize= 1.000000
+dualbound = 3682838.537952, lowerbound=1301144.537952, norm of subgrad 1141.255685 dualbound = 3682838.537952, lowerbound=1301144.537952, norm of subgrad 36.718401 stepsize= 1.000000
+dualbound = 3682918.590806, lowerbound=1294578.590806, norm of subgrad 1138.338961 dualbound = 3682918.590806, lowerbound=1294578.590806, norm of subgrad 36.291223 stepsize= 1.000000
+dualbound = 3682976.478923, lowerbound=1300088.478923, norm of subgrad 1140.757415 dualbound = 3682976.478923, lowerbound=1300088.478923, norm of subgrad 36.012333 stepsize= 1.000000
+dualbound = 3683082.144418, lowerbound=1295194.144418, norm of subgrad 1138.600081 dualbound = 3683082.144418, lowerbound=1295194.144418, norm of subgrad 36.354718 stepsize= 1.000000
+dualbound = 3683093.713059, lowerbound=1301013.713059, norm of subgrad 1141.181280 dualbound = 3683093.713059, lowerbound=1301013.713059, norm of subgrad 35.952311 stepsize= 1.000000
+dualbound = 3683182.114269, lowerbound=1302426.114269, norm of subgrad 1141.796442 dualbound = 3683182.114269, lowerbound=1302426.114269, norm of subgrad 36.897171 stepsize= 1.000000
+dualbound = 3683224.330052, lowerbound=1301703.330052, norm of subgrad 1141.473316 dualbound = 3683224.330052, lowerbound=1301703.330052, norm of subgrad 36.058505 stepsize= 1.000000
+dualbound = 3683324.462508, lowerbound=1298258.462508, norm of subgrad 1139.925200 dualbound = 3683324.462508, lowerbound=1298258.462508, norm of subgrad 35.652945 stepsize= 1.000000
+dualbound = 3683382.990907, lowerbound=1299487.990907, norm of subgrad 1140.509093 dualbound = 3683382.990907, lowerbound=1299487.990907, norm of subgrad 36.490114 stepsize= 1.000000
+dualbound = 3683446.944963, lowerbound=1298179.944963, norm of subgrad 1139.930676 dualbound = 3683446.944963, lowerbound=1298179.944963, norm of subgrad 36.413652 stepsize= 1.000000
+dualbound = 3683480.337426, lowerbound=1293191.337426, norm of subgrad 1137.734739 dualbound = 3683480.337426, lowerbound=1293191.337426, norm of subgrad 35.810508 stepsize= 1.000000
+dualbound = 3683574.566016, lowerbound=1299773.566016, norm of subgrad 1140.615433 dualbound = 3683574.566016, lowerbound=1299773.566016, norm of subgrad 36.389952 stepsize= 1.000000
+dualbound = 3683635.164646, lowerbound=1296322.164646, norm of subgrad 1139.086987 dualbound = 3683635.164646, lowerbound=1296322.164646, norm of subgrad 35.462637 stepsize= 1.000000
+dualbound = 3683692.848715, lowerbound=1300988.848715, norm of subgrad 1141.165566 dualbound = 3683692.848715, lowerbound=1300988.848715, norm of subgrad 36.437399 stepsize= 1.000000
+dualbound = 3683744.419212, lowerbound=1298591.419212, norm of subgrad 1140.098864 dualbound = 3683744.419212, lowerbound=1298591.419212, norm of subgrad 35.854853 stepsize= 1.000000
+dualbound = 3683827.296332, lowerbound=1298133.296332, norm of subgrad 1139.918109 dualbound = 3683827.296332, lowerbound=1298133.296332, norm of subgrad 36.917166 stepsize= 1.000000
+dualbound = 3683834.679179, lowerbound=1299491.679179, norm of subgrad 1140.504134 dualbound = 3683834.679179, lowerbound=1299491.679179, norm of subgrad 35.572220 stepsize= 1.000000
+dualbound = 3683964.348978, lowerbound=1294822.348978, norm of subgrad 1138.412205 dualbound = 3683964.348978, lowerbound=1294822.348978, norm of subgrad 35.911973 stepsize= 1.000000
+dualbound = 3684019.398559, lowerbound=1299650.398559, norm of subgrad 1140.539521 dualbound = 3684019.398559, lowerbound=1299650.398559, norm of subgrad 35.143272 stepsize= 1.000000
+dualbound = 3684109.412370, lowerbound=1298165.412370, norm of subgrad 1139.884386 dualbound = 3684109.412370, lowerbound=1298165.412370, norm of subgrad 35.510756 stepsize= 1.000000
+dualbound = 3684142.911193, lowerbound=1293404.911193, norm of subgrad 1137.819367 dualbound = 3684142.911193, lowerbound=1293404.911193, norm of subgrad 35.517585 stepsize= 1.000000
+dualbound = 3684196.047691, lowerbound=1295304.047691, norm of subgrad 1138.658881 dualbound = 3684196.047691, lowerbound=1295304.047691, norm of subgrad 35.960207 stepsize= 1.000000
+dualbound = 3684248.798622, lowerbound=1293648.798622, norm of subgrad 1137.951141 dualbound = 3684248.798622, lowerbound=1293648.798622, norm of subgrad 36.561605 stepsize= 1.000000
+dualbound = 3684330.779049, lowerbound=1297493.779049, norm of subgrad 1139.631861 dualbound = 3684330.779049, lowerbound=1297493.779049, norm of subgrad 36.728469 stepsize= 1.000000
+dualbound = 3684382.423118, lowerbound=1300549.423118, norm of subgrad 1140.963375 dualbound = 3684382.423118, lowerbound=1300549.423118, norm of subgrad 36.050577 stepsize= 1.000000
+dualbound = 3684467.191986, lowerbound=1299311.191986, norm of subgrad 1140.422374 dualbound = 3684467.191986, lowerbound=1299311.191986, norm of subgrad 36.561850 stepsize= 1.000000
+dualbound = 3684526.446703, lowerbound=1297041.446703, norm of subgrad 1139.432511 dualbound = 3684526.446703, lowerbound=1297041.446703, norm of subgrad 36.390311 stepsize= 1.000000
+dualbound = 3684552.272653, lowerbound=1301144.272653, norm of subgrad 1141.252064 dualbound = 3684552.272653, lowerbound=1301144.272653, norm of subgrad 36.576303 stepsize= 1.000000
+dualbound = 3684634.517249, lowerbound=1296636.517249, norm of subgrad 1139.270169 dualbound = 3684634.517249, lowerbound=1296636.517249, norm of subgrad 37.178550 stepsize= 1.000000
+dualbound = 3684699.868674, lowerbound=1295901.868674, norm of subgrad 1138.930581 dualbound = 3684699.868674, lowerbound=1295901.868674, norm of subgrad 36.419108 stepsize= 1.000000
+dualbound = 3684769.768528, lowerbound=1300014.768528, norm of subgrad 1140.749214 dualbound = 3684769.768528, lowerbound=1300014.768528, norm of subgrad 36.931015 stepsize= 1.000000
+dualbound = 3684826.869210, lowerbound=1295492.869210, norm of subgrad 1138.739597 dualbound = 3684826.869210, lowerbound=1295492.869210, norm of subgrad 35.945802 stepsize= 1.000000
+dualbound = 3684898.830157, lowerbound=1304183.830157, norm of subgrad 1142.553207 dualbound = 3684898.830157, lowerbound=1304183.830157, norm of subgrad 36.276176 stepsize= 1.000000
+dualbound = 3684981.584583, lowerbound=1293009.584583, norm of subgrad 1137.633326 dualbound = 3684981.584583, lowerbound=1293009.584583, norm of subgrad 35.815561 stepsize= 1.000000
+dualbound = 3685045.641077, lowerbound=1303087.641077, norm of subgrad 1142.055446 dualbound = 3685045.641077, lowerbound=1303087.641077, norm of subgrad 35.595737 stepsize= 1.000000
+dualbound = 3685112.835789, lowerbound=1298535.835789, norm of subgrad 1140.070101 dualbound = 3685112.835789, lowerbound=1298535.835789, norm of subgrad 35.933198 stepsize= 1.000000
+dualbound = 3685171.952281, lowerbound=1297582.952281, norm of subgrad 1139.642467 dualbound = 3685171.952281, lowerbound=1297582.952281, norm of subgrad 35.512202 stepsize= 1.000000
+dualbound = 3685241.535636, lowerbound=1302650.535636, norm of subgrad 1141.852677 dualbound = 3685241.535636, lowerbound=1302650.535636, norm of subgrad 35.306987 stepsize= 1.000000
+dualbound = 3685320.645686, lowerbound=1292965.645686, norm of subgrad 1137.587204 dualbound = 3685320.645686, lowerbound=1292965.645686, norm of subgrad 34.901433 stepsize= 1.000000
+dualbound = 3685392.993442, lowerbound=1297094.993442, norm of subgrad 1139.404666 dualbound = 3685392.993442, lowerbound=1297094.993442, norm of subgrad 34.933476 stepsize= 1.000000
+dualbound = 3685446.117437, lowerbound=1298235.117437, norm of subgrad 1139.945226 dualbound = 3685446.117437, lowerbound=1298235.117437, norm of subgrad 35.960033 stepsize= 1.000000
+dualbound = 3685492.050158, lowerbound=1299180.050158, norm of subgrad 1140.363561 dualbound = 3685492.050158, lowerbound=1299180.050158, norm of subgrad 35.985174 stepsize= 1.000000
+dualbound = 3685551.678662, lowerbound=1297362.678662, norm of subgrad 1139.559862 dualbound = 3685551.678662, lowerbound=1297362.678662, norm of subgrad 35.967047 stepsize= 1.000000
+dualbound = 3685619.876062, lowerbound=1294535.876062, norm of subgrad 1138.297358 dualbound = 3685619.876062, lowerbound=1294535.876062, norm of subgrad 35.400528 stepsize= 1.000000
+dualbound = 3685685.717851, lowerbound=1297742.717851, norm of subgrad 1139.695450 dualbound = 3685685.717851, lowerbound=1297742.717851, norm of subgrad 35.054840 stepsize= 1.000000
+dualbound = 3685746.321013, lowerbound=1299914.321013, norm of subgrad 1140.670996 dualbound = 3685746.321013, lowerbound=1299914.321013, norm of subgrad 35.729584 stepsize= 1.000000
+dualbound = 3685806.594238, lowerbound=1295202.594238, norm of subgrad 1138.608622 dualbound = 3685806.594238, lowerbound=1295202.594238, norm of subgrad 35.878590 stepsize= 1.000000
+dualbound = 3685860.401339, lowerbound=1299706.401339, norm of subgrad 1140.616676 dualbound = 3685860.401339, lowerbound=1299706.401339, norm of subgrad 36.794118 stepsize= 1.000000
+dualbound = 3685921.760354, lowerbound=1297505.760354, norm of subgrad 1139.616058 dualbound = 3685921.760354, lowerbound=1297505.760354, norm of subgrad 35.782105 stepsize= 1.000000
+dualbound = 3685995.891238, lowerbound=1299629.891238, norm of subgrad 1140.536668 dualbound = 3685995.891238, lowerbound=1299629.891238, norm of subgrad 35.610825 stepsize= 1.000000
+dualbound = 3686073.959076, lowerbound=1294204.959076, norm of subgrad 1138.186698 dualbound = 3686073.959076, lowerbound=1294204.959076, norm of subgrad 36.634244 stepsize= 1.000000
+dualbound = 3686112.325954, lowerbound=1297291.325954, norm of subgrad 1139.516707 dualbound = 3686112.325954, lowerbound=1297291.325954, norm of subgrad 35.289756 stepsize= 1.000000
+dualbound = 3686189.383772, lowerbound=1296773.383772, norm of subgrad 1139.301709 dualbound = 3686189.383772, lowerbound=1296773.383772, norm of subgrad 36.222339 stepsize= 1.000000
+dualbound = 3686259.891713, lowerbound=1300182.891713, norm of subgrad 1140.786085 dualbound = 3686259.891713, lowerbound=1300182.891713, norm of subgrad 35.784186 stepsize= 1.000000
+dualbound = 3686314.356101, lowerbound=1296019.356101, norm of subgrad 1138.983036 dualbound = 3686314.356101, lowerbound=1296019.356101, norm of subgrad 36.296892 stepsize= 1.000000
+dualbound = 3686391.338271, lowerbound=1300712.338271, norm of subgrad 1141.019868 dualbound = 3686391.338271, lowerbound=1300712.338271, norm of subgrad 35.930240 stepsize= 1.000000
+dualbound = 3686437.918869, lowerbound=1292492.918869, norm of subgrad 1137.438754 dualbound = 3686437.918869, lowerbound=1292492.918869, norm of subgrad 36.339794 stepsize= 1.000000
+dualbound = 3686519.918037, lowerbound=1299765.918037, norm of subgrad 1140.619094 dualbound = 3686519.918037, lowerbound=1299765.918037, norm of subgrad 36.441723 stepsize= 1.000000
+dualbound = 3686547.245612, lowerbound=1298128.245612, norm of subgrad 1139.892647 dualbound = 3686547.245612, lowerbound=1298128.245612, norm of subgrad 35.416487 stepsize= 1.000000
+dualbound = 3686657.771501, lowerbound=1296943.771501, norm of subgrad 1139.370779 dualbound = 3686657.771501, lowerbound=1296943.771501, norm of subgrad 36.503779 stepsize= 1.000000
+dualbound = 3686696.143547, lowerbound=1302906.143547, norm of subgrad 1141.998749 dualbound = 3686696.143547, lowerbound=1302906.143547, norm of subgrad 35.963482 stepsize= 1.000000
+dualbound = 3686761.959781, lowerbound=1299033.959781, norm of subgrad 1140.288104 dualbound = 3686761.959781, lowerbound=1299033.959781, norm of subgrad 35.900087 stepsize= 1.000000
+dualbound = 3686827.027445, lowerbound=1296906.027445, norm of subgrad 1139.385811 dualbound = 3686827.027445, lowerbound=1296906.027445, norm of subgrad 36.865535 stepsize= 1.000000
+dualbound = 3686863.199269, lowerbound=1300280.199269, norm of subgrad 1140.841005 dualbound = 3686863.199269, lowerbound=1300280.199269, norm of subgrad 35.695543 stepsize= 1.000000
+dualbound = 3686968.406230, lowerbound=1299871.406230, norm of subgrad 1140.629390 dualbound = 3686968.406230, lowerbound=1299871.406230, norm of subgrad 35.625931 stepsize= 1.000000
+dualbound = 3687031.839885, lowerbound=1300855.839885, norm of subgrad 1141.064345 dualbound = 3687031.839885, lowerbound=1300855.839885, norm of subgrad 35.148736 stepsize= 1.000000
+dualbound = 3687121.070843, lowerbound=1299442.070843, norm of subgrad 1140.431090 dualbound = 3687121.070843, lowerbound=1299442.070843, norm of subgrad 35.074648 stepsize= 1.000000
+dualbound = 3687176.215772, lowerbound=1302269.215772, norm of subgrad 1141.709777 dualbound = 3687176.215772, lowerbound=1302269.215772, norm of subgrad 35.876802 stepsize= 1.000000
+dualbound = 3687209.470298, lowerbound=1294736.470298, norm of subgrad 1138.386345 dualbound = 3687209.470298, lowerbound=1294736.470298, norm of subgrad 34.932142 stepsize= 1.000000
+dualbound = 3687313.103616, lowerbound=1301878.103616, norm of subgrad 1141.516143 dualbound = 3687313.103616, lowerbound=1301878.103616, norm of subgrad 35.841782 stepsize= 1.000000
+dualbound = 3687347.554759, lowerbound=1296085.554759, norm of subgrad 1138.996293 dualbound = 3687347.554759, lowerbound=1296085.554759, norm of subgrad 35.516913 stepsize= 1.000000
+dualbound = 3687404.170897, lowerbound=1294656.170897, norm of subgrad 1138.399829 dualbound = 3687404.170897, lowerbound=1294656.170897, norm of subgrad 36.805110 stepsize= 1.000000
+dualbound = 3687457.494920, lowerbound=1294541.494920, norm of subgrad 1138.314322 dualbound = 3687457.494920, lowerbound=1294541.494920, norm of subgrad 35.655631 stepsize= 1.000000
+dualbound = 3687562.712827, lowerbound=1296936.712827, norm of subgrad 1139.361099 dualbound = 3687562.712827, lowerbound=1296936.712827, norm of subgrad 36.224548 stepsize= 1.000000
+dualbound = 3687593.477766, lowerbound=1298706.477766, norm of subgrad 1140.148445 dualbound = 3687593.477766, lowerbound=1298706.477766, norm of subgrad 35.535404 stepsize= 1.000000
+dualbound = 3687694.093417, lowerbound=1301837.093417, norm of subgrad 1141.526650 dualbound = 3687694.093417, lowerbound=1301837.093417, norm of subgrad 36.696262 stepsize= 1.000000
+dualbound = 3687731.538898, lowerbound=1297359.538898, norm of subgrad 1139.567698 dualbound = 3687731.538898, lowerbound=1297359.538898, norm of subgrad 35.950598 stepsize= 1.000000
+dualbound = 3687782.356413, lowerbound=1298078.356413, norm of subgrad 1139.875149 dualbound = 3687782.356413, lowerbound=1298078.356413, norm of subgrad 35.886174 stepsize= 1.000000
+dualbound = 3687837.014596, lowerbound=1300774.014596, norm of subgrad 1141.073624 dualbound = 3687837.014596, lowerbound=1300774.014596, norm of subgrad 36.464478 stepsize= 1.000000
+dualbound = 3687914.121985, lowerbound=1297331.121985, norm of subgrad 1139.560056 dualbound = 3687914.121985, lowerbound=1297331.121985, norm of subgrad 36.648430 stepsize= 1.000000
+dualbound = 3688000.812297, lowerbound=1300907.812297, norm of subgrad 1141.108151 dualbound = 3688000.812297, lowerbound=1300907.812297, norm of subgrad 36.148172 stepsize= 1.000000
+dualbound = 3688026.124572, lowerbound=1300992.124572, norm of subgrad 1141.206434 dualbound = 3688026.124572, lowerbound=1300992.124572, norm of subgrad 37.219783 stepsize= 1.000000
+dualbound = 3688079.071592, lowerbound=1298430.071592, norm of subgrad 1140.061433 dualbound = 3688079.071592, lowerbound=1298430.071592, norm of subgrad 36.918112 stepsize= 1.000000
+dualbound = 3688170.473689, lowerbound=1298846.473689, norm of subgrad 1140.215977 dualbound = 3688170.473689, lowerbound=1298846.473689, norm of subgrad 36.570509 stepsize= 1.000000
+dualbound = 3688231.459522, lowerbound=1298055.459522, norm of subgrad 1139.877388 dualbound = 3688231.459522, lowerbound=1298055.459522, norm of subgrad 36.414088 stepsize= 1.000000
+dualbound = 3688322.874125, lowerbound=1295746.874125, norm of subgrad 1138.862535 dualbound = 3688322.874125, lowerbound=1295746.874125, norm of subgrad 36.775190 stepsize= 1.000000
+dualbound = 3688359.089345, lowerbound=1298817.089345, norm of subgrad 1140.201776 dualbound = 3688359.089345, lowerbound=1298817.089345, norm of subgrad 35.766118 stepsize= 1.000000
+dualbound = 3688451.261837, lowerbound=1297039.261837, norm of subgrad 1139.420143 dualbound = 3688451.261837, lowerbound=1297039.261837, norm of subgrad 36.485237 stepsize= 1.000000
+dualbound = 3688512.784074, lowerbound=1297519.784074, norm of subgrad 1139.641954 dualbound = 3688512.784074, lowerbound=1297519.784074, norm of subgrad 36.407722 stepsize= 1.000000
+dualbound = 3688560.687662, lowerbound=1294873.687662, norm of subgrad 1138.458470 dualbound = 3688560.687662, lowerbound=1294873.687662, norm of subgrad 35.523282 stepsize= 1.000000
+dualbound = 3688636.373430, lowerbound=1302133.373430, norm of subgrad 1141.652475 dualbound = 3688636.373430, lowerbound=1302133.373430, norm of subgrad 36.231006 stepsize= 1.000000
+dualbound = 3688686.499224, lowerbound=1295882.499224, norm of subgrad 1138.916371 dualbound = 3688686.499224, lowerbound=1295882.499224, norm of subgrad 36.029513 stepsize= 1.000000
+dualbound = 3688733.744688, lowerbound=1297726.744688, norm of subgrad 1139.728803 dualbound = 3688733.744688, lowerbound=1297726.744688, norm of subgrad 36.086638 stepsize= 1.000000
+dualbound = 3688830.387737, lowerbound=1297661.387737, norm of subgrad 1139.689163 dualbound = 3688830.387737, lowerbound=1297661.387737, norm of subgrad 36.423111 stepsize= 1.000000
+dualbound = 3688894.082773, lowerbound=1296499.082773, norm of subgrad 1139.165520 dualbound = 3688894.082773, lowerbound=1296499.082773, norm of subgrad 35.534420 stepsize= 1.000000
+dualbound = 3688954.621218, lowerbound=1296185.621218, norm of subgrad 1139.030562 dualbound = 3688954.621218, lowerbound=1296185.621218, norm of subgrad 35.574407 stepsize= 1.000000
+dualbound = 3689028.535684, lowerbound=1295464.535684, norm of subgrad 1138.718813 dualbound = 3689028.535684, lowerbound=1295464.535684, norm of subgrad 35.915379 stepsize= 1.000000
+dualbound = 3689085.232793, lowerbound=1302224.232793, norm of subgrad 1141.712412 dualbound = 3689085.232793, lowerbound=1302224.232793, norm of subgrad 36.601873 stepsize= 1.000000
+dualbound = 3689119.899082, lowerbound=1296839.899082, norm of subgrad 1139.337044 dualbound = 3689119.899082, lowerbound=1296839.899082, norm of subgrad 35.828289 stepsize= 1.000000
+dualbound = 3689206.268639, lowerbound=1298411.268639, norm of subgrad 1140.043538 dualbound = 3689206.268639, lowerbound=1298411.268639, norm of subgrad 37.072491 stepsize= 1.000000
+dualbound = 3689267.367050, lowerbound=1300269.367050, norm of subgrad 1140.816535 dualbound = 3689267.367050, lowerbound=1300269.367050, norm of subgrad 35.413252 stepsize= 1.000000
+dualbound = 3689353.521421, lowerbound=1294208.521421, norm of subgrad 1138.164541 dualbound = 3689353.521421, lowerbound=1294208.521421, norm of subgrad 36.002144 stepsize= 1.000000
+dualbound = 3689411.308452, lowerbound=1302680.308452, norm of subgrad 1141.889359 dualbound = 3689411.308452, lowerbound=1302680.308452, norm of subgrad 35.899680 stepsize= 1.000000
+dualbound = 3689486.434931, lowerbound=1294881.434931, norm of subgrad 1138.481636 dualbound = 3689486.434931, lowerbound=1294881.434931, norm of subgrad 36.525696 stepsize= 1.000000
+dualbound = 3689505.376423, lowerbound=1296014.376423, norm of subgrad 1138.961973 dualbound = 3689505.376423, lowerbound=1296014.376423, norm of subgrad 35.198601 stepsize= 1.000000
+dualbound = 3689616.532365, lowerbound=1304401.532365, norm of subgrad 1142.629657 dualbound = 3689616.532365, lowerbound=1304401.532365, norm of subgrad 36.223693 stepsize= 1.000000
+dualbound = 3689649.300101, lowerbound=1296764.300101, norm of subgrad 1139.296845 dualbound = 3689649.300101, lowerbound=1296764.300101, norm of subgrad 35.577630 stepsize= 1.000000
+dualbound = 3689739.123310, lowerbound=1299996.123310, norm of subgrad 1140.676169 dualbound = 3689739.123310, lowerbound=1299996.123310, norm of subgrad 35.154277 stepsize= 1.000000
+dualbound = 3689797.100335, lowerbound=1298582.100335, norm of subgrad 1140.077234 dualbound = 3689797.100335, lowerbound=1298582.100335, norm of subgrad 35.383287 stepsize= 1.000000
+dualbound = 3689876.627946, lowerbound=1300356.627946, norm of subgrad 1140.864421 dualbound = 3689876.627946, lowerbound=1300356.627946, norm of subgrad 35.979544 stepsize= 1.000000
+dualbound = 3689890.526770, lowerbound=1297456.526770, norm of subgrad 1139.602355 dualbound = 3689890.526770, lowerbound=1297456.526770, norm of subgrad 35.368048 stepsize= 1.000000
+dualbound = 3689987.829631, lowerbound=1298862.829631, norm of subgrad 1140.199031 dualbound = 3689987.829631, lowerbound=1298862.829631, norm of subgrad 35.892936 stepsize= 1.000000
+dualbound = 3690064.650955, lowerbound=1303147.650955, norm of subgrad 1142.091787 dualbound = 3690064.650955, lowerbound=1303147.650955, norm of subgrad 36.094616 stepsize= 1.000000
+dualbound = 3690117.578691, lowerbound=1294376.578691, norm of subgrad 1138.255937 dualbound = 3690117.578691, lowerbound=1294376.578691, norm of subgrad 36.096090 stepsize= 1.000000
+dualbound = 3690185.872821, lowerbound=1298256.872821, norm of subgrad 1139.953013 dualbound = 3690185.872821, lowerbound=1298256.872821, norm of subgrad 36.115013 stepsize= 1.000000
+dualbound = 3690242.789780, lowerbound=1294880.789780, norm of subgrad 1138.454562 dualbound = 3690242.789780, lowerbound=1294880.789780, norm of subgrad 35.424807 stepsize= 1.000000
+dualbound = 3690300.639846, lowerbound=1298913.639846, norm of subgrad 1140.229643 dualbound = 3690300.639846, lowerbound=1298913.639846, norm of subgrad 35.606882 stepsize= 1.000000
+dualbound = 3690382.186634, lowerbound=1299529.186634, norm of subgrad 1140.514001 dualbound = 3690382.186634, lowerbound=1299529.186634, norm of subgrad 36.394324 stepsize= 1.000000
+dualbound = 3690419.494856, lowerbound=1296905.494856, norm of subgrad 1139.335111 dualbound = 3690419.494856, lowerbound=1296905.494856, norm of subgrad 34.875611 stepsize= 1.000000
+dualbound = 3690521.733004, lowerbound=1301794.733004, norm of subgrad 1141.487071 dualbound = 3690521.733004, lowerbound=1301794.733004, norm of subgrad 36.058815 stepsize= 1.000000
+dualbound = 3690559.921278, lowerbound=1297668.921278, norm of subgrad 1139.673603 dualbound = 3690559.921278, lowerbound=1297668.921278, norm of subgrad 35.002690 stepsize= 1.000000
+dualbound = 3690637.048385, lowerbound=1293850.048385, norm of subgrad 1138.028140 dualbound = 3690637.048385, lowerbound=1293850.048385, norm of subgrad 36.539391 stepsize= 1.000000
+dualbound = 3690687.272638, lowerbound=1303216.272638, norm of subgrad 1142.130585 dualbound = 3690687.272638, lowerbound=1303216.272638, norm of subgrad 36.003114 stepsize= 1.000000
+dualbound = 3690760.725492, lowerbound=1294730.725492, norm of subgrad 1138.373720 dualbound = 3690760.725492, lowerbound=1294730.725492, norm of subgrad 35.177448 stepsize= 1.000000
+dualbound = 3690817.834531, lowerbound=1297889.834531, norm of subgrad 1139.798155 dualbound = 3690817.834531, lowerbound=1297889.834531, norm of subgrad 36.153963 stepsize= 1.000000
+dualbound = 3690873.095217, lowerbound=1292561.095217, norm of subgrad 1137.453777 dualbound = 3690873.095217, lowerbound=1292561.095217, norm of subgrad 35.989730 stepsize= 1.000000
+dualbound = 3690921.401426, lowerbound=1302270.401426, norm of subgrad 1141.690589 dualbound = 3690921.401426, lowerbound=1302270.401426, norm of subgrad 35.146923 stepsize= 1.000000
+dualbound = 3691033.455717, lowerbound=1297736.455717, norm of subgrad 1139.740960 dualbound = 3691033.455717, lowerbound=1297736.455717, norm of subgrad 37.216318 stepsize= 1.000000
+dualbound = 3691030.338964, lowerbound=1300056.338964, norm of subgrad 1140.759983 dualbound = 3691030.338964, lowerbound=1300056.338964, norm of subgrad 35.691501 stepsize= 1.000000
+dualbound = 3691135.171227, lowerbound=1294088.171227, norm of subgrad 1138.138028 dualbound = 3691135.171227, lowerbound=1294088.171227, norm of subgrad 37.078731 stepsize= 1.000000
+dualbound = 3691178.981931, lowerbound=1297415.981931, norm of subgrad 1139.589392 dualbound = 3691178.981931, lowerbound=1297415.981931, norm of subgrad 35.941768 stepsize= 1.000000
+dualbound = 3691254.712562, lowerbound=1293099.712562, norm of subgrad 1137.698428 dualbound = 3691254.712562, lowerbound=1293099.712562, norm of subgrad 36.520277 stepsize= 1.000000
+dualbound = 3691336.637858, lowerbound=1301021.637858, norm of subgrad 1141.171169 dualbound = 3691336.637858, lowerbound=1301021.637858, norm of subgrad 36.495552 stepsize= 1.000000
+dualbound = 3691385.262554, lowerbound=1300618.262554, norm of subgrad 1140.982586 dualbound = 3691385.262554, lowerbound=1300618.262554, norm of subgrad 35.659847 stepsize= 1.000000
+dualbound = 3691438.829931, lowerbound=1297880.829931, norm of subgrad 1139.790257 dualbound = 3691438.829931, lowerbound=1297880.829931, norm of subgrad 35.980097 stepsize= 1.000000
+dualbound = 3691514.478771, lowerbound=1296647.478771, norm of subgrad 1139.259619 dualbound = 3691514.478771, lowerbound=1296647.478771, norm of subgrad 36.614872 stepsize= 1.000000
+dualbound = 3691550.472486, lowerbound=1297248.472486, norm of subgrad 1139.513261 dualbound = 3691550.472486, lowerbound=1297248.472486, norm of subgrad 35.749038 stepsize= 1.000000
+dualbound = 3691655.880150, lowerbound=1291592.880150, norm of subgrad 1137.016218 dualbound = 3691655.880150, lowerbound=1291592.880150, norm of subgrad 36.309884 stepsize= 1.000000
+dualbound = 3691701.149432, lowerbound=1303952.149432, norm of subgrad 1142.455754 dualbound = 3691701.149432, lowerbound=1303952.149432, norm of subgrad 36.031504 stepsize= 1.000000
+dualbound = 3691788.550357, lowerbound=1297685.550357, norm of subgrad 1139.719505 dualbound = 3691788.550357, lowerbound=1297685.550357, norm of subgrad 36.910716 stepsize= 1.000000
+dualbound = 3691836.112645, lowerbound=1296205.112645, norm of subgrad 1139.072918 dualbound = 3691836.112645, lowerbound=1296205.112645, norm of subgrad 36.463163 stepsize= 1.000000
+dualbound = 3691896.594556, lowerbound=1296296.594556, norm of subgrad 1139.095516 dualbound = 3691896.594556, lowerbound=1296296.594556, norm of subgrad 36.089914 stepsize= 1.000000
+dualbound = 3691970.370312, lowerbound=1299183.370312, norm of subgrad 1140.371155 dualbound = 3691970.370312, lowerbound=1299183.370312, norm of subgrad 36.561944 stepsize= 1.000000
+dualbound = 3692037.691530, lowerbound=1297101.691530, norm of subgrad 1139.432618 dualbound = 3692037.691530, lowerbound=1297101.691530, norm of subgrad 35.669612 stepsize= 1.000000
+dualbound = 3692115.299781, lowerbound=1296650.299781, norm of subgrad 1139.249446 dualbound = 3692115.299781, lowerbound=1296650.299781, norm of subgrad 36.285097 stepsize= 1.000000
+dualbound = 3692145.173666, lowerbound=1301546.173666, norm of subgrad 1141.417616 dualbound = 3692145.173666, lowerbound=1301546.173666, norm of subgrad 36.302533 stepsize= 1.000000
+dualbound = 3692207.377440, lowerbound=1299750.377440, norm of subgrad 1140.601761 dualbound = 3692207.377440, lowerbound=1299750.377440, norm of subgrad 35.835789 stepsize= 1.000000
+dualbound = 3692309.937871, lowerbound=1298230.937871, norm of subgrad 1139.905232 dualbound = 3692309.937871, lowerbound=1298230.937871, norm of subgrad 35.433888 stepsize= 1.000000
+dualbound = 3692358.838507, lowerbound=1296890.838507, norm of subgrad 1139.321657 dualbound = 3692358.838507, lowerbound=1296890.838507, norm of subgrad 34.812363 stepsize= 1.000000
+dualbound = 3692420.568397, lowerbound=1299602.568397, norm of subgrad 1140.539157 dualbound = 3692420.568397, lowerbound=1299602.568397, norm of subgrad 35.898884 stepsize= 1.000000
+dualbound = 3692481.432425, lowerbound=1297773.432425, norm of subgrad 1139.732176 dualbound = 3692481.432425, lowerbound=1297773.432425, norm of subgrad 35.733234 stepsize= 1.000000
+dualbound = 3692541.398959, lowerbound=1294073.398959, norm of subgrad 1138.115723 dualbound = 3692541.398959, lowerbound=1294073.398959, norm of subgrad 35.971746 stepsize= 1.000000
+dualbound = 3692596.533861, lowerbound=1301245.533861, norm of subgrad 1141.258312 dualbound = 3692596.533861, lowerbound=1301245.533861, norm of subgrad 35.778973 stepsize= 1.000000
+dualbound = 3692680.203008, lowerbound=1302780.203008, norm of subgrad 1141.944921 dualbound = 3692680.203008, lowerbound=1302780.203008, norm of subgrad 36.628802 stepsize= 1.000000
+dualbound = 3692721.507319, lowerbound=1290001.507319, norm of subgrad 1136.355801 dualbound = 3692721.507319, lowerbound=1290001.507319, norm of subgrad 36.664756 stepsize= 1.000000
+dualbound = 3692792.250404, lowerbound=1300690.250404, norm of subgrad 1140.997480 dualbound = 3692792.250404, lowerbound=1300690.250404, norm of subgrad 35.436465 stepsize= 1.000000
+dualbound = 3692882.457003, lowerbound=1298183.457003, norm of subgrad 1139.907214 dualbound = 3692882.457003, lowerbound=1298183.457003, norm of subgrad 35.988979 stepsize= 1.000000
+dualbound = 3692947.357202, lowerbound=1302527.357202, norm of subgrad 1141.827201 dualbound = 3692947.357202, lowerbound=1302527.357202, norm of subgrad 36.151075 stepsize= 1.000000
+dualbound = 3692979.344611, lowerbound=1296991.344611, norm of subgrad 1139.390339 dualbound = 3692979.344611, lowerbound=1296991.344611, norm of subgrad 35.369300 stepsize= 1.000000
+dualbound = 3693060.694746, lowerbound=1297439.694746, norm of subgrad 1139.590143 dualbound = 3693060.694746, lowerbound=1297439.694746, norm of subgrad 36.157297 stepsize= 1.000000
+dualbound = 3693125.793436, lowerbound=1294611.793436, norm of subgrad 1138.346078 dualbound = 3693125.793436, lowerbound=1294611.793436, norm of subgrad 35.848273 stepsize= 1.000000
+dualbound = 3693189.186073, lowerbound=1304284.186073, norm of subgrad 1142.581370 dualbound = 3693189.186073, lowerbound=1304284.186073, norm of subgrad 35.656593 stepsize= 1.000000
+dualbound = 3693254.005116, lowerbound=1292808.005116, norm of subgrad 1137.541210 dualbound = 3693254.005116, lowerbound=1292808.005116, norm of subgrad 35.451644 stepsize= 1.000000
+dualbound = 3693325.433992, lowerbound=1298014.433992, norm of subgrad 1139.835266 dualbound = 3693325.433992, lowerbound=1298014.433992, norm of subgrad 35.797051 stepsize= 1.000000
+dualbound = 3693369.027633, lowerbound=1297788.027633, norm of subgrad 1139.722785 dualbound = 3693369.027633, lowerbound=1297788.027633, norm of subgrad 34.979903 stepsize= 1.000000
+dualbound = 3693450.757213, lowerbound=1298504.757213, norm of subgrad 1140.045507 dualbound = 3693450.757213, lowerbound=1298504.757213, norm of subgrad 35.787282 stepsize= 1.000000
+dualbound = 3693496.502536, lowerbound=1295839.502536, norm of subgrad 1138.923835 dualbound = 3693496.502536, lowerbound=1295839.502536, norm of subgrad 36.793278 stepsize= 1.000000
+dualbound = 3693560.528448, lowerbound=1296021.528448, norm of subgrad 1138.987940 dualbound = 3693560.528448, lowerbound=1296021.528448, norm of subgrad 36.551688 stepsize= 1.000000
+dualbound = 3693595.216181, lowerbound=1293849.216181, norm of subgrad 1138.029972 dualbound = 3693595.216181, lowerbound=1293849.216181, norm of subgrad 36.023433 stepsize= 1.000000
+dualbound = 3693716.017277, lowerbound=1296358.017277, norm of subgrad 1139.134328 dualbound = 3693716.017277, lowerbound=1296358.017277, norm of subgrad 37.280036 stepsize= 1.000000
+dualbound = 3693730.387040, lowerbound=1300871.387040, norm of subgrad 1141.106650 dualbound = 3693730.387040, lowerbound=1300871.387040, norm of subgrad 35.600137 stepsize= 1.000000
+dualbound = 3693831.811554, lowerbound=1296528.811554, norm of subgrad 1139.192614 dualbound = 3693831.811554, lowerbound=1296528.811554, norm of subgrad 36.502391 stepsize= 1.000000
+dualbound = 3693883.006398, lowerbound=1297864.006398, norm of subgrad 1139.762697 dualbound = 3693883.006398, lowerbound=1297864.006398, norm of subgrad 35.301485 stepsize= 1.000000
+dualbound = 3693959.141482, lowerbound=1296487.141482, norm of subgrad 1139.177397 dualbound = 3693959.141482, lowerbound=1296487.141482, norm of subgrad 36.251001 stepsize= 1.000000
+dualbound = 3694012.740402, lowerbound=1299746.740402, norm of subgrad 1140.600605 dualbound = 3694012.740402, lowerbound=1299746.740402, norm of subgrad 35.729524 stepsize= 1.000000
+dualbound = 3694087.734683, lowerbound=1301886.734683, norm of subgrad 1141.532187 dualbound = 3694087.734683, lowerbound=1301886.734683, norm of subgrad 35.832866 stepsize= 1.000000
+dualbound = 3694141.896678, lowerbound=1295644.896678, norm of subgrad 1138.785272 dualbound = 3694141.896678, lowerbound=1295644.896678, norm of subgrad 35.230129 stepsize= 1.000000
+dualbound = 3694211.157732, lowerbound=1301102.157732, norm of subgrad 1141.228355 dualbound = 3694211.157732, lowerbound=1301102.157732, norm of subgrad 37.003528 stepsize= 1.000000
+dualbound = 3694247.868154, lowerbound=1299795.868154, norm of subgrad 1140.638360 dualbound = 3694247.868154, lowerbound=1299795.868154, norm of subgrad 36.009866 stepsize= 1.000000
+dualbound = 3694335.946678, lowerbound=1297983.946678, norm of subgrad 1139.826279 dualbound = 3694335.946678, lowerbound=1297983.946678, norm of subgrad 36.167368 stepsize= 1.000000
+dualbound = 3694401.390919, lowerbound=1302024.390919, norm of subgrad 1141.599488 dualbound = 3694401.390919, lowerbound=1302024.390919, norm of subgrad 35.922754 stepsize= 1.000000
+dualbound = 3694476.433925, lowerbound=1301809.433925, norm of subgrad 1141.506651 dualbound = 3694476.433925, lowerbound=1301809.433925, norm of subgrad 36.097687 stepsize= 1.000000
+dualbound = 3694512.007607, lowerbound=1294317.007607, norm of subgrad 1138.223619 dualbound = 3694512.007607, lowerbound=1294317.007607, norm of subgrad 35.659132 stepsize= 1.000000
+dualbound = 3694593.752306, lowerbound=1299107.752306, norm of subgrad 1140.334491 dualbound = 3694593.752306, lowerbound=1299107.752306, norm of subgrad 36.561519 stepsize= 1.000000
+dualbound = 3694653.364879, lowerbound=1299802.364879, norm of subgrad 1140.620605 dualbound = 3694653.364879, lowerbound=1299802.364879, norm of subgrad 35.673696 stepsize= 1.000000
+dualbound = 3694718.595176, lowerbound=1297649.595176, norm of subgrad 1139.693202 dualbound = 3694718.595176, lowerbound=1297649.595176, norm of subgrad 36.279888 stepsize= 1.000000
+dualbound = 3694777.272162, lowerbound=1295445.272162, norm of subgrad 1138.730553 dualbound = 3694777.272162, lowerbound=1295445.272162, norm of subgrad 36.341120 stepsize= 1.000000
+dualbound = 3694809.559787, lowerbound=1298902.559787, norm of subgrad 1140.246710 dualbound = 3694809.559787, lowerbound=1298902.559787, norm of subgrad 35.948402 stepsize= 1.000000
+dualbound = 3694915.667835, lowerbound=1295073.667835, norm of subgrad 1138.544539 dualbound = 3694915.667835, lowerbound=1295073.667835, norm of subgrad 36.278203 stepsize= 1.000000
+dualbound = 3694964.756384, lowerbound=1300588.756384, norm of subgrad 1140.967027 dualbound = 3694964.756384, lowerbound=1300588.756384, norm of subgrad 35.582138 stepsize= 1.000000
+dualbound = 3695042.968334, lowerbound=1299318.968334, norm of subgrad 1140.389832 dualbound = 3695042.968334, lowerbound=1299318.968334, norm of subgrad 35.330043 stepsize= 1.000000
+dualbound = 3695108.454304, lowerbound=1293593.454304, norm of subgrad 1137.911444 dualbound = 3695108.454304, lowerbound=1293593.454304, norm of subgrad 36.255840 stepsize= 1.000000
+dualbound = 3695169.893755, lowerbound=1304950.893755, norm of subgrad 1142.865650 dualbound = 3695169.893755, lowerbound=1304950.893755, norm of subgrad 35.389821 stepsize= 1.000000
+dualbound = 3695248.044970, lowerbound=1301011.044970, norm of subgrad 1141.150755 dualbound = 3695248.044970, lowerbound=1301011.044970, norm of subgrad 35.946505 stepsize= 1.000000
+dualbound = 3695303.537457, lowerbound=1299782.537457, norm of subgrad 1140.607092 dualbound = 3695303.537457, lowerbound=1299782.537457, norm of subgrad 35.461141 stepsize= 1.000000
+dualbound = 3695362.600445, lowerbound=1302310.600445, norm of subgrad 1141.701187 dualbound = 3695362.600445, lowerbound=1302310.600445, norm of subgrad 35.072254 stepsize= 1.000000
+dualbound = 3695427.950930, lowerbound=1292445.950930, norm of subgrad 1137.379423 dualbound = 3695427.950930, lowerbound=1292445.950930, norm of subgrad 35.374433 stepsize= 1.000000
+dualbound = 3695496.139179, lowerbound=1299921.139179, norm of subgrad 1140.667848 dualbound = 3695496.139179, lowerbound=1299921.139179, norm of subgrad 35.639700 stepsize= 1.000000
+dualbound = 3695548.250392, lowerbound=1300789.250392, norm of subgrad 1141.059705 dualbound = 3695548.250392, lowerbound=1300789.250392, norm of subgrad 35.778642 stepsize= 1.000000
+dualbound = 3695623.715979, lowerbound=1296136.715979, norm of subgrad 1139.009094 dualbound = 3695623.715979, lowerbound=1296136.715979, norm of subgrad 35.783594 stepsize= 1.000000
+dualbound = 3695665.237604, lowerbound=1292714.237604, norm of subgrad 1137.509225 dualbound = 3695665.237604, lowerbound=1292714.237604, norm of subgrad 35.419227 stepsize= 1.000000
+dualbound = 3695759.037562, lowerbound=1302433.037562, norm of subgrad 1141.790277 dualbound = 3695759.037562, lowerbound=1302433.037562, norm of subgrad 36.685146 stepsize= 1.000000
+dualbound = 3695794.417608, lowerbound=1301481.417608, norm of subgrad 1141.386621 dualbound = 3695794.417608, lowerbound=1301481.417608, norm of subgrad 36.295730 stepsize= 1.000000
+dualbound = 3695856.477220, lowerbound=1294298.477220, norm of subgrad 1138.213283 dualbound = 3695856.477220, lowerbound=1294298.477220, norm of subgrad 35.959138 stepsize= 1.000000
+dualbound = 3695944.833510, lowerbound=1294357.833510, norm of subgrad 1138.227496 dualbound = 3695944.833510, lowerbound=1294357.833510, norm of subgrad 35.949357 stepsize= 1.000000
+dualbound = 3696009.228146, lowerbound=1305976.228146, norm of subgrad 1143.319390 dualbound = 3696009.228146, lowerbound=1305976.228146, norm of subgrad 35.600486 stepsize= 1.000000
+dualbound = 3696054.657663, lowerbound=1293146.657663, norm of subgrad 1137.736199 dualbound = 3696054.657663, lowerbound=1293146.657663, norm of subgrad 36.639180 stepsize= 1.000000
+dualbound = 3696120.186914, lowerbound=1301539.186914, norm of subgrad 1141.380387 dualbound = 3696120.186914, lowerbound=1301539.186914, norm of subgrad 35.714552 stepsize= 1.000000
+dualbound = 3696192.856055, lowerbound=1299264.856055, norm of subgrad 1140.407320 dualbound = 3696192.856055, lowerbound=1299264.856055, norm of subgrad 36.560486 stepsize= 1.000000
+dualbound = 3696259.525082, lowerbound=1306388.525082, norm of subgrad 1143.505367 dualbound = 3696259.525082, lowerbound=1306388.525082, norm of subgrad 35.814369 stepsize= 1.000000
+dualbound = 3696316.955022, lowerbound=1293274.955022, norm of subgrad 1137.767531 dualbound = 3696316.955022, lowerbound=1293274.955022, norm of subgrad 36.019855 stepsize= 1.000000
+dualbound = 3696387.376448, lowerbound=1295596.376448, norm of subgrad 1138.804363 dualbound = 3696387.376448, lowerbound=1295596.376448, norm of subgrad 36.734472 stepsize= 1.000000
+dualbound = 3696429.121379, lowerbound=1298420.121379, norm of subgrad 1140.078121 dualbound = 3696429.121379, lowerbound=1298420.121379, norm of subgrad 37.413165 stepsize= 1.000000
+dualbound = 3696510.415943, lowerbound=1296924.415943, norm of subgrad 1139.376328 dualbound = 3696510.415943, lowerbound=1296924.415943, norm of subgrad 36.541683 stepsize= 1.000000
+dualbound = 3696570.180159, lowerbound=1296657.180160, norm of subgrad 1139.251588 dualbound = 3696570.180159, lowerbound=1296657.180160, norm of subgrad 36.010613 stepsize= 1.000000
+dualbound = 3696659.636796, lowerbound=1299229.636796, norm of subgrad 1140.376094 dualbound = 3696659.636796, lowerbound=1299229.636796, norm of subgrad 36.296785 stepsize= 1.000000
+dualbound = 3696704.108669, lowerbound=1298715.108669, norm of subgrad 1140.159686 dualbound = 3696704.108669, lowerbound=1298715.108669, norm of subgrad 35.964870 stepsize= 1.000000
+dualbound = 3696771.657240, lowerbound=1300538.657240, norm of subgrad 1140.972242 dualbound = 3696771.657240, lowerbound=1300538.657240, norm of subgrad 36.695348 stepsize= 1.000000
+dualbound = 3696835.338490, lowerbound=1299085.338490, norm of subgrad 1140.311509 dualbound = 3696835.338490, lowerbound=1299085.338490, norm of subgrad 35.898207 stepsize= 1.000000
+dualbound = 3696915.442395, lowerbound=1298992.442395, norm of subgrad 1140.266829 dualbound = 3696915.442395, lowerbound=1298992.442395, norm of subgrad 36.001443 stepsize= 1.000000
+dualbound = 3696977.377458, lowerbound=1298093.377458, norm of subgrad 1139.857174 dualbound = 3696977.377458, lowerbound=1298093.377458, norm of subgrad 35.255284 stepsize= 1.000000
+dualbound = 3697035.406719, lowerbound=1299639.406719, norm of subgrad 1140.564512 dualbound = 3697035.406719, lowerbound=1299639.406719, norm of subgrad 36.139027 stepsize= 1.000000
+dualbound = 3697082.702105, lowerbound=1300828.702105, norm of subgrad 1141.072610 dualbound = 3697082.702105, lowerbound=1300828.702105, norm of subgrad 35.570991 stepsize= 1.000000
+dualbound = 3697161.761073, lowerbound=1295112.761073, norm of subgrad 1138.556877 dualbound = 3697161.761073, lowerbound=1295112.761073, norm of subgrad 35.749951 stepsize= 1.000000
+dualbound = 3697230.342938, lowerbound=1292506.342938, norm of subgrad 1137.421796 dualbound = 3697230.342938, lowerbound=1292506.342938, norm of subgrad 35.924669 stepsize= 1.000000
+dualbound = 3697298.341606, lowerbound=1305371.341606, norm of subgrad 1143.056141 dualbound = 3697298.341606, lowerbound=1305371.341606, norm of subgrad 35.693118 stepsize= 1.000000
+dualbound = 3697346.246981, lowerbound=1296583.246981, norm of subgrad 1139.202461 dualbound = 3697346.246981, lowerbound=1296583.246981, norm of subgrad 35.311547 stepsize= 1.000000
+dualbound = 3697414.843489, lowerbound=1299504.843489, norm of subgrad 1140.492369 dualbound = 3697414.843489, lowerbound=1299504.843489, norm of subgrad 35.869158 stepsize= 1.000000
+dualbound = 3697466.722930, lowerbound=1304013.722930, norm of subgrad 1142.451191 dualbound = 3697466.722930, lowerbound=1304013.722930, norm of subgrad 35.112383 stepsize= 1.000000
+dualbound = 3697559.838077, lowerbound=1298851.838077, norm of subgrad 1140.166583 dualbound = 3697559.838077, lowerbound=1298851.838077, norm of subgrad 34.944458 stepsize= 1.000000
+dualbound = 3697612.229865, lowerbound=1301203.229865, norm of subgrad 1141.213052 dualbound = 3697612.229865, lowerbound=1301203.229865, norm of subgrad 34.876809 stepsize= 1.000000
+dualbound = 3697692.405683, lowerbound=1297579.405683, norm of subgrad 1139.657144 dualbound = 3697692.405683, lowerbound=1297579.405683, norm of subgrad 36.320460 stepsize= 1.000000
+dualbound = 3697712.913095, lowerbound=1295458.913095, norm of subgrad 1138.753227 dualbound = 3697712.913095, lowerbound=1295458.913095, norm of subgrad 36.338787 stepsize= 1.000000
+dualbound = 3697785.629616, lowerbound=1301357.629616, norm of subgrad 1141.321440 dualbound = 3697785.629616, lowerbound=1301357.629616, norm of subgrad 36.465278 stepsize= 1.000000
+dualbound = 3697874.278072, lowerbound=1299532.278072, norm of subgrad 1140.489929 dualbound = 3697874.278072, lowerbound=1299532.278072, norm of subgrad 35.688212 stepsize= 1.000000
+dualbound = 3697945.607125, lowerbound=1303534.607125, norm of subgrad 1142.280442 dualbound = 3697945.607125, lowerbound=1303534.607125, norm of subgrad 36.624159 stepsize= 1.000000
+dualbound = 3697969.468904, lowerbound=1297845.468904, norm of subgrad 1139.786589 dualbound = 3697969.468904, lowerbound=1297845.468904, norm of subgrad 35.942479 stepsize= 1.000000
+dualbound = 3698068.223771, lowerbound=1302867.223771, norm of subgrad 1142.004038 dualbound = 3698068.223771, lowerbound=1302867.223771, norm of subgrad 37.480060 stepsize= 1.000000
+dualbound = 3698095.843470, lowerbound=1300537.843470, norm of subgrad 1140.960930 dualbound = 3698095.843470, lowerbound=1300537.843470, norm of subgrad 35.799716 stepsize= 1.000000
+dualbound = 3698192.353336, lowerbound=1299695.353336, norm of subgrad 1140.562297 dualbound = 3698192.353336, lowerbound=1299695.353336, norm of subgrad 35.826106 stepsize= 1.000000
+dualbound = 3698277.846210, lowerbound=1296436.846210, norm of subgrad 1139.153127 dualbound = 3698277.846210, lowerbound=1296436.846210, norm of subgrad 36.311057 stepsize= 1.000000
+dualbound = 3698307.558684, lowerbound=1298525.558684, norm of subgrad 1140.044104 dualbound = 3698307.558684, lowerbound=1298525.558684, norm of subgrad 34.708968 stepsize= 1.000000
+dualbound = 3698394.020648, lowerbound=1303981.020648, norm of subgrad 1142.434690 dualbound = 3698394.020648, lowerbound=1303981.020648, norm of subgrad 35.531141 stepsize= 1.000000
+dualbound = 3698452.471335, lowerbound=1296377.471335, norm of subgrad 1139.114775 dualbound = 3698452.471335, lowerbound=1296377.471335, norm of subgrad 35.545052 stepsize= 1.000000
+dualbound = 3698482.525504, lowerbound=1300111.525505, norm of subgrad 1140.737273 dualbound = 3698482.525504, lowerbound=1300111.525505, norm of subgrad 34.641798 stepsize= 1.000000
+dualbound = 3698579.906948, lowerbound=1294693.906948, norm of subgrad 1138.380388 dualbound = 3698579.906948, lowerbound=1294693.906948, norm of subgrad 36.240605 stepsize= 1.000000
+dualbound = 3698633.178931, lowerbound=1301962.178931, norm of subgrad 1141.570926 dualbound = 3698633.178931, lowerbound=1301962.178931, norm of subgrad 35.710950 stepsize= 1.000000
+dualbound = 3698706.640151, lowerbound=1295062.640151, norm of subgrad 1138.548040 dualbound = 3698706.640151, lowerbound=1295062.640151, norm of subgrad 36.089628 stepsize= 1.000000
+dualbound = 3698749.700270, lowerbound=1299340.700270, norm of subgrad 1140.421720 dualbound = 3698749.700270, lowerbound=1299340.700270, norm of subgrad 35.553623 stepsize= 1.000000
+dualbound = 3698836.932531, lowerbound=1292611.932531, norm of subgrad 1137.456343 dualbound = 3698836.932531, lowerbound=1292611.932531, norm of subgrad 35.808271 stepsize= 1.000000
+dualbound = 3698882.396969, lowerbound=1303778.396969, norm of subgrad 1142.398528 dualbound = 3698882.396969, lowerbound=1303778.396969, norm of subgrad 36.626008 stepsize= 1.000000
+dualbound = 3698943.806524, lowerbound=1301352.806524, norm of subgrad 1141.316699 dualbound = 3698943.806524, lowerbound=1301352.806524, norm of subgrad 36.227194 stepsize= 1.000000
+dualbound = 3698987.606464, lowerbound=1300534.606464, norm of subgrad 1140.963017 dualbound = 3698987.606464, lowerbound=1300534.606464, norm of subgrad 36.135854 stepsize= 1.000000
+dualbound = 3699081.505573, lowerbound=1300452.505573, norm of subgrad 1140.918273 dualbound = 3699081.505573, lowerbound=1300452.505573, norm of subgrad 36.549954 stepsize= 1.000000
+dualbound = 3699129.980361, lowerbound=1295344.980361, norm of subgrad 1138.694419 dualbound = 3699129.980361, lowerbound=1295344.980361, norm of subgrad 36.448248 stepsize= 1.000000
+dualbound = 3699185.646452, lowerbound=1297202.646452, norm of subgrad 1139.513776 dualbound = 3699185.646452, lowerbound=1297202.646452, norm of subgrad 36.669689 stepsize= 1.000000
+dualbound = 3699243.200476, lowerbound=1303619.200476, norm of subgrad 1142.305651 dualbound = 3699243.200476, lowerbound=1303619.200476, norm of subgrad 36.063195 stepsize= 1.000000
+dualbound = 3699314.618627, lowerbound=1297955.618627, norm of subgrad 1139.834031 dualbound = 3699314.618627, lowerbound=1297955.618627, norm of subgrad 36.570728 stepsize= 1.000000
+dualbound = 3699382.474208, lowerbound=1299915.474208, norm of subgrad 1140.690350 dualbound = 3699382.474208, lowerbound=1299915.474208, norm of subgrad 36.426029 stepsize= 1.000000
+dualbound = 3699437.441568, lowerbound=1287460.441568, norm of subgrad 1135.244221 dualbound = 3699437.441568, lowerbound=1287460.441568, norm of subgrad 37.067066 stepsize= 1.000000
+dualbound = 3699494.430073, lowerbound=1304855.430073, norm of subgrad 1142.847510 dualbound = 3699494.430073, lowerbound=1304855.430073, norm of subgrad 36.083078 stepsize= 1.000000
+dualbound = 3699582.256341, lowerbound=1290645.256341, norm of subgrad 1136.613504 dualbound = 3699582.256341, lowerbound=1290645.256341, norm of subgrad 36.507893 stepsize= 1.000000
+dualbound = 3699633.870761, lowerbound=1300774.870761, norm of subgrad 1141.078819 dualbound = 3699633.870761, lowerbound=1300774.870761, norm of subgrad 36.573411 stepsize= 1.000000
+dualbound = 3699697.336549, lowerbound=1301185.336549, norm of subgrad 1141.256035 dualbound = 3699697.336549, lowerbound=1301185.336549, norm of subgrad 36.653319 stepsize= 1.000000
+dualbound = 3699751.881455, lowerbound=1298024.881455, norm of subgrad 1139.849499 dualbound = 3699751.881455, lowerbound=1298024.881455, norm of subgrad 35.868439 stepsize= 1.000000
+dualbound = 3699845.805470, lowerbound=1300579.805470, norm of subgrad 1140.953463 dualbound = 3699845.805470, lowerbound=1300579.805470, norm of subgrad 35.901588 stepsize= 1.000000
+dualbound = 3699914.665110, lowerbound=1296034.665110, norm of subgrad 1138.962100 dualbound = 3699914.665110, lowerbound=1296034.665110, norm of subgrad 35.621056 stepsize= 1.000000
+dualbound = 3699964.567376, lowerbound=1300668.567376, norm of subgrad 1141.002878 dualbound = 3699964.567376, lowerbound=1300668.567376, norm of subgrad 35.621654 stepsize= 1.000000
+dualbound = 3700052.061093, lowerbound=1294880.061093, norm of subgrad 1138.449850 dualbound = 3700052.061093, lowerbound=1294880.061093, norm of subgrad 35.714055 stepsize= 1.000000
+dualbound = 3700087.451680, lowerbound=1300695.451680, norm of subgrad 1141.019917 dualbound = 3700087.451680, lowerbound=1300695.451680, norm of subgrad 35.586382 stepsize= 1.000000
+dualbound = 3700178.691250, lowerbound=1303237.691250, norm of subgrad 1142.122012 dualbound = 3700178.691250, lowerbound=1303237.691250, norm of subgrad 36.003327 stepsize= 1.000000
+dualbound = 3700237.128608, lowerbound=1301587.128608, norm of subgrad 1141.425481 dualbound = 3700237.128608, lowerbound=1301587.128608, norm of subgrad 36.379079 stepsize= 1.000000
+dualbound = 3700282.761024, lowerbound=1299729.761024, norm of subgrad 1140.615518 dualbound = 3700282.761024, lowerbound=1299729.761024, norm of subgrad 36.326745 stepsize= 1.000000
+dualbound = 3700366.013186, lowerbound=1299577.013186, norm of subgrad 1140.514802 dualbound = 3700366.013186, lowerbound=1299577.013186, norm of subgrad 35.780612 stepsize= 1.000000
+dualbound = 3700434.701231, lowerbound=1305778.701231, norm of subgrad 1143.234316 dualbound = 3700434.701231, lowerbound=1305778.701231, norm of subgrad 35.702774 stepsize= 1.000000
+dualbound = 3700501.923942, lowerbound=1297339.923942, norm of subgrad 1139.540225 dualbound = 3700501.923942, lowerbound=1297339.923942, norm of subgrad 35.766223 stepsize= 1.000000
+dualbound = 3700550.556237, lowerbound=1296814.556237, norm of subgrad 1139.311440 dualbound = 3700550.556237, lowerbound=1296814.556237, norm of subgrad 35.561669 stepsize= 1.000000
+dualbound = 3700630.891353, lowerbound=1299553.891353, norm of subgrad 1140.507296 dualbound = 3700630.891353, lowerbound=1299553.891353, norm of subgrad 35.823667 stepsize= 1.000000
+dualbound = 3700673.639386, lowerbound=1298894.639386, norm of subgrad 1140.233590 dualbound = 3700673.639386, lowerbound=1298894.639386, norm of subgrad 35.787540 stepsize= 1.000000
+dualbound = 3700757.703510, lowerbound=1294981.703510, norm of subgrad 1138.521719 dualbound = 3700757.703510, lowerbound=1294981.703510, norm of subgrad 36.524843 stepsize= 1.000000
+dualbound = 3700796.996362, lowerbound=1305757.996362, norm of subgrad 1143.239693 dualbound = 3700796.996362, lowerbound=1305757.996362, norm of subgrad 35.753222 stepsize= 1.000000
+dualbound = 3700873.267872, lowerbound=1296740.267872, norm of subgrad 1139.257332 dualbound = 3700873.267872, lowerbound=1296740.267872, norm of subgrad 35.260055 stepsize= 1.000000
+dualbound = 3700945.200198, lowerbound=1299127.200198, norm of subgrad 1140.313203 dualbound = 3700945.200198, lowerbound=1299127.200198, norm of subgrad 35.481436 stepsize= 1.000000
+dualbound = 3701000.860196, lowerbound=1293209.860196, norm of subgrad 1137.736288 dualbound = 3701000.860196, lowerbound=1293209.860196, norm of subgrad 35.911836 stepsize= 1.000000
+dualbound = 3701046.303138, lowerbound=1298331.303138, norm of subgrad 1139.987414 dualbound = 3701046.303138, lowerbound=1298331.303138, norm of subgrad 35.853074 stepsize= 1.000000
+dualbound = 3701131.759283, lowerbound=1302287.759283, norm of subgrad 1141.702570 dualbound = 3701131.759283, lowerbound=1302287.759283, norm of subgrad 35.811397 stepsize= 1.000000
+dualbound = 3701190.677724, lowerbound=1296206.677724, norm of subgrad 1139.070532 dualbound = 3701190.677724, lowerbound=1296206.677724, norm of subgrad 36.522848 stepsize= 1.000000
+dualbound = 3701258.694492, lowerbound=1302483.694492, norm of subgrad 1141.801951 dualbound = 3701258.694492, lowerbound=1302483.694492, norm of subgrad 36.000233 stepsize= 1.000000
+dualbound = 3701316.567944, lowerbound=1298620.567944, norm of subgrad 1140.135329 dualbound = 3701316.567944, lowerbound=1298620.567944, norm of subgrad 36.686148 stepsize= 1.000000
+dualbound = 3701368.231860, lowerbound=1304087.231860, norm of subgrad 1142.518810 dualbound = 3701368.231860, lowerbound=1304087.231860, norm of subgrad 36.244502 stepsize= 1.000000
+dualbound = 3701437.227394, lowerbound=1290565.227394, norm of subgrad 1136.573019 dualbound = 3701437.227394, lowerbound=1290565.227394, norm of subgrad 36.083175 stepsize= 1.000000
+dualbound = 3701509.074554, lowerbound=1299735.074554, norm of subgrad 1140.619163 dualbound = 3701509.074554, lowerbound=1299735.074554, norm of subgrad 36.726655 stepsize= 1.000000
+dualbound = 3701564.838181, lowerbound=1295904.838181, norm of subgrad 1138.907739 dualbound = 3701564.838181, lowerbound=1295904.838181, norm of subgrad 35.521312 stepsize= 1.000000
+dualbound = 3701640.517973, lowerbound=1302980.517973, norm of subgrad 1142.028247 dualbound = 3701640.517973, lowerbound=1302980.517973, norm of subgrad 36.382410 stepsize= 1.000000
+dualbound = 3701711.717097, lowerbound=1302707.717097, norm of subgrad 1141.899171 dualbound = 3701711.717097, lowerbound=1302707.717097, norm of subgrad 36.016651 stepsize= 1.000000
+dualbound = 3701757.562098, lowerbound=1300236.562098, norm of subgrad 1140.824071 dualbound = 3701757.562098, lowerbound=1300236.562098, norm of subgrad 35.900487 stepsize= 1.000000
+dualbound = 3701822.835182, lowerbound=1299135.835182, norm of subgrad 1140.343297 dualbound = 3701822.835182, lowerbound=1299135.835182, norm of subgrad 36.225310 stepsize= 1.000000
+dualbound = 3701892.485800, lowerbound=1301230.485800, norm of subgrad 1141.256100 dualbound = 3701892.485800, lowerbound=1301230.485800, norm of subgrad 36.119948 stepsize= 1.000000
+dualbound = 3701954.060691, lowerbound=1300470.060691, norm of subgrad 1140.938675 dualbound = 3701954.060691, lowerbound=1300470.060691, norm of subgrad 36.504450 stepsize= 1.000000
+dualbound = 3702009.136233, lowerbound=1302208.136233, norm of subgrad 1141.693539 dualbound = 3702009.136233, lowerbound=1302208.136233, norm of subgrad 36.208777 stepsize= 1.000000
+dualbound = 3702104.590906, lowerbound=1299347.590906, norm of subgrad 1140.434387 dualbound = 3702104.590906, lowerbound=1299347.590906, norm of subgrad 36.584897 stepsize= 1.000000
+dualbound = 3702144.528432, lowerbound=1297295.528432, norm of subgrad 1139.533031 dualbound = 3702144.528432, lowerbound=1297295.528432, norm of subgrad 35.776215 stepsize= 1.000000
+dualbound = 3702226.896853, lowerbound=1298598.896853, norm of subgrad 1140.092056 dualbound = 3702226.896853, lowerbound=1298598.896853, norm of subgrad 35.963432 stepsize= 1.000000
+dualbound = 3702290.326553, lowerbound=1298342.326553, norm of subgrad 1139.987424 dualbound = 3702290.326553, lowerbound=1298342.326553, norm of subgrad 35.950378 stepsize= 1.000000
+dualbound = 3702324.826824, lowerbound=1301982.826824, norm of subgrad 1141.566830 dualbound = 3702324.826824, lowerbound=1301982.826824, norm of subgrad 35.021426 stepsize= 1.000000
+dualbound = 3702421.059931, lowerbound=1300177.059931, norm of subgrad 1140.770380 dualbound = 3702421.059931, lowerbound=1300177.059931, norm of subgrad 35.724405 stepsize= 1.000000
+dualbound = 3702453.087172, lowerbound=1299109.087172, norm of subgrad 1140.347792 dualbound = 3702453.087172, lowerbound=1299109.087172, norm of subgrad 36.277090 stepsize= 1.000000
+dualbound = 3702535.216087, lowerbound=1300783.216087, norm of subgrad 1141.051364 dualbound = 3702535.216087, lowerbound=1300783.216087, norm of subgrad 36.015676 stepsize= 1.000000
+dualbound = 3702559.447913, lowerbound=1297684.447913, norm of subgrad 1139.704105 dualbound = 3702559.447913, lowerbound=1297684.447913, norm of subgrad 35.570097 stepsize= 1.000000
+dualbound = 3702663.192212, lowerbound=1302018.192212, norm of subgrad 1141.596335 dualbound = 3702663.192212, lowerbound=1302018.192212, norm of subgrad 36.438226 stepsize= 1.000000
+dualbound = 3702722.914663, lowerbound=1296349.914663, norm of subgrad 1139.079854 dualbound = 3702722.914663, lowerbound=1296349.914663, norm of subgrad 34.824165 stepsize= 1.000000
+dualbound = 3702802.225605, lowerbound=1300154.225605, norm of subgrad 1140.795435 dualbound = 3702802.225605, lowerbound=1300154.225605, norm of subgrad 36.596597 stepsize= 1.000000
+dualbound = 3702840.160129, lowerbound=1298421.160129, norm of subgrad 1140.051385 dualbound = 3702840.160129, lowerbound=1298421.160129, norm of subgrad 36.523068 stepsize= 1.000000
+dualbound = 3702904.001061, lowerbound=1299869.001061, norm of subgrad 1140.665596 dualbound = 3702904.001061, lowerbound=1299869.001061, norm of subgrad 36.233147 stepsize= 1.000000
+dualbound = 3702983.583234, lowerbound=1304040.583234, norm of subgrad 1142.497958 dualbound = 3702983.583234, lowerbound=1304040.583234, norm of subgrad 36.613961 stepsize= 1.000000
+dualbound = 3703033.579376, lowerbound=1300316.579376, norm of subgrad 1140.874042 dualbound = 3703033.579376, lowerbound=1300316.579376, norm of subgrad 36.427958 stepsize= 1.000000
+dualbound = 3703065.024590, lowerbound=1295856.024590, norm of subgrad 1138.928455 dualbound = 3703065.024590, lowerbound=1295856.024590, norm of subgrad 36.516369 stepsize= 1.000000
+dualbound = 3703175.051321, lowerbound=1304044.051321, norm of subgrad 1142.486346 dualbound = 3703175.051321, lowerbound=1304044.051321, norm of subgrad 36.620032 stepsize= 1.000000
+dualbound = 3703238.410892, lowerbound=1303195.410892, norm of subgrad 1142.117074 dualbound = 3703238.410892, lowerbound=1303195.410892, norm of subgrad 36.046631 stepsize= 1.000000
+dualbound = 3703300.128133, lowerbound=1300471.128133, norm of subgrad 1140.905398 dualbound = 3703300.128133, lowerbound=1300471.128133, norm of subgrad 35.436101 stepsize= 1.000000
+dualbound = 3703368.552551, lowerbound=1301686.552551, norm of subgrad 1141.453701 dualbound = 3703368.552551, lowerbound=1301686.552551, norm of subgrad 36.033657 stepsize= 1.000000
+dualbound = 3703409.703301, lowerbound=1301622.703301, norm of subgrad 1141.440188 dualbound = 3703409.703301, lowerbound=1301622.703301, norm of subgrad 36.113027 stepsize= 1.000000
+dualbound = 3703479.766726, lowerbound=1304580.766726, norm of subgrad 1142.715523 dualbound = 3703479.766726, lowerbound=1304580.766726, norm of subgrad 35.889601 stepsize= 1.000000
+dualbound = 3703558.727708, lowerbound=1301362.727708, norm of subgrad 1141.306150 dualbound = 3703558.727708, lowerbound=1301362.727708, norm of subgrad 35.999458 stepsize= 1.000000
+dualbound = 3703601.170255, lowerbound=1303960.170255, norm of subgrad 1142.436068 dualbound = 3703601.170255, lowerbound=1303960.170255, norm of subgrad 35.248298 stepsize= 1.000000
+dualbound = 3703698.033429, lowerbound=1303600.033429, norm of subgrad 1142.282817 dualbound = 3703698.033429, lowerbound=1303600.033429, norm of subgrad 36.150563 stepsize= 1.000000
+dualbound = 3703726.655883, lowerbound=1294364.655883, norm of subgrad 1138.237522 dualbound = 3703726.655883, lowerbound=1294364.655883, norm of subgrad 35.335852 stepsize= 1.000000
+dualbound = 3703799.124554, lowerbound=1299125.124554, norm of subgrad 1140.335970 dualbound = 3703799.124554, lowerbound=1299125.124554, norm of subgrad 36.241808 stepsize= 1.000000
+dualbound = 3703853.019013, lowerbound=1303587.019013, norm of subgrad 1142.264426 dualbound = 3703853.019013, lowerbound=1303587.019013, norm of subgrad 35.141065 stepsize= 1.000000
+dualbound = 3703936.017873, lowerbound=1301011.017873, norm of subgrad 1141.131902 dualbound = 3703936.017873, lowerbound=1301011.017873, norm of subgrad 35.411846 stepsize= 1.000000
+dualbound = 3703987.925495, lowerbound=1303869.925495, norm of subgrad 1142.378626 dualbound = 3703987.925495, lowerbound=1303869.925495, norm of subgrad 34.798098 stepsize= 1.000000
+dualbound = 3704060.673475, lowerbound=1295205.673475, norm of subgrad 1138.581869 dualbound = 3704060.673475, lowerbound=1295205.673475, norm of subgrad 35.153207 stepsize= 1.000000
+dualbound = 3704127.194853, lowerbound=1300630.194853, norm of subgrad 1140.963713 dualbound = 3704127.194853, lowerbound=1300630.194853, norm of subgrad 35.135756 stepsize= 1.000000
+dualbound = 3704173.783727, lowerbound=1295590.783727, norm of subgrad 1138.756683 dualbound = 3704173.783727, lowerbound=1295590.783727, norm of subgrad 34.965538 stepsize= 1.000000
+dualbound = 3704246.376169, lowerbound=1296352.376169, norm of subgrad 1139.095420 dualbound = 3704246.376169, lowerbound=1296352.376169, norm of subgrad 35.476646 stepsize= 1.000000
+dualbound = 3704292.967081, lowerbound=1300332.967081, norm of subgrad 1140.877718 dualbound = 3704292.967081, lowerbound=1300332.967081, norm of subgrad 36.271075 stepsize= 1.000000
+dualbound = 3704351.690399, lowerbound=1296585.690399, norm of subgrad 1139.225917 dualbound = 3704351.690399, lowerbound=1296585.690399, norm of subgrad 36.176281 stepsize= 1.000000
+dualbound = 3704431.417357, lowerbound=1305000.417357, norm of subgrad 1142.920127 dualbound = 3704431.417357, lowerbound=1305000.417357, norm of subgrad 36.684151 stepsize= 1.000000
+dualbound = 3704476.088587, lowerbound=1299218.088587, norm of subgrad 1140.384185 dualbound = 3704476.088587, lowerbound=1299218.088587, norm of subgrad 36.092537 stepsize= 1.000000
+dualbound = 3704551.228931, lowerbound=1301632.228931, norm of subgrad 1141.441733 dualbound = 3704551.228931, lowerbound=1301632.228931, norm of subgrad 36.498498 stepsize= 1.000000
+dualbound = 3704612.840949, lowerbound=1298296.840949, norm of subgrad 1139.982825 dualbound = 3704612.840949, lowerbound=1298296.840949, norm of subgrad 36.408955 stepsize= 1.000000
+dualbound = 3704669.734825, lowerbound=1301737.734825, norm of subgrad 1141.471741 dualbound = 3704669.734825, lowerbound=1301737.734825, norm of subgrad 35.733652 stepsize= 1.000000
+dualbound = 3704744.726958, lowerbound=1298304.726958, norm of subgrad 1139.967862 dualbound = 3704744.726958, lowerbound=1298304.726958, norm of subgrad 36.013777 stepsize= 1.000000
+dualbound = 3704805.900656, lowerbound=1302067.900656, norm of subgrad 1141.618982 dualbound = 3704805.900656, lowerbound=1302067.900656, norm of subgrad 35.877203 stepsize= 1.000000
+dualbound = 3704866.002524, lowerbound=1300935.002524, norm of subgrad 1141.144164 dualbound = 3704866.002524, lowerbound=1300935.002524, norm of subgrad 36.539046 stepsize= 1.000000
+dualbound = 3704896.748505, lowerbound=1299159.748505, norm of subgrad 1140.346328 dualbound = 3704896.748505, lowerbound=1299159.748505, norm of subgrad 35.506985 stepsize= 1.000000
+dualbound = 3705003.488709, lowerbound=1302914.488709, norm of subgrad 1141.959057 dualbound = 3705003.488709, lowerbound=1302914.488709, norm of subgrad 35.535056 stepsize= 1.000000
+dualbound = 3705064.988100, lowerbound=1297489.988100, norm of subgrad 1139.576671 dualbound = 3705064.988100, lowerbound=1297489.988100, norm of subgrad 34.734700 stepsize= 1.000000
+dualbound = 3705150.437699, lowerbound=1306254.437699, norm of subgrad 1143.434055 dualbound = 3705150.437699, lowerbound=1306254.437699, norm of subgrad 35.671412 stepsize= 1.000000
+dualbound = 3705181.966113, lowerbound=1303413.966113, norm of subgrad 1142.189111 dualbound = 3705181.966113, lowerbound=1303413.966113, norm of subgrad 34.835735 stepsize= 1.000000
+dualbound = 3705253.292075, lowerbound=1300822.292075, norm of subgrad 1141.080318 dualbound = 3705253.292075, lowerbound=1300822.292075, norm of subgrad 36.239839 stepsize= 1.000000
+dualbound = 3705317.381530, lowerbound=1302986.381530, norm of subgrad 1142.039133 dualbound = 3705317.381530, lowerbound=1302986.381530, norm of subgrad 36.484099 stepsize= 1.000000
+dualbound = 3705368.632417, lowerbound=1297921.632417, norm of subgrad 1139.786661 dualbound = 3705368.632417, lowerbound=1297921.632417, norm of subgrad 35.259763 stepsize= 1.000000
+dualbound = 3705439.065754, lowerbound=1298664.065754, norm of subgrad 1140.156158 dualbound = 3705439.065754, lowerbound=1298664.065754, norm of subgrad 36.911155 stepsize= 1.000000
+dualbound = 3705490.452303, lowerbound=1302861.452303, norm of subgrad 1141.953349 dualbound = 3705490.452303, lowerbound=1302861.452303, norm of subgrad 35.318360 stepsize= 1.000000
+dualbound = 3705561.221762, lowerbound=1299496.221762, norm of subgrad 1140.499111 dualbound = 3705561.221762, lowerbound=1299496.221762, norm of subgrad 36.232161 stepsize= 1.000000
+dualbound = 3705603.112809, lowerbound=1299124.112809, norm of subgrad 1140.349557 dualbound = 3705603.112809, lowerbound=1299124.112809, norm of subgrad 36.261426 stepsize= 1.000000
+dualbound = 3705691.022078, lowerbound=1299206.022078, norm of subgrad 1140.346887 dualbound = 3705691.022078, lowerbound=1299206.022078, norm of subgrad 35.677854 stepsize= 1.000000
+dualbound = 3705758.299125, lowerbound=1302483.299125, norm of subgrad 1141.810973 dualbound = 3705758.299125, lowerbound=1302483.299125, norm of subgrad 36.280533 stepsize= 1.000000
+dualbound = 3705793.916871, lowerbound=1298326.916871, norm of subgrad 1139.977156 dualbound = 3705793.916871, lowerbound=1298326.916871, norm of subgrad 35.448805 stepsize= 1.000000
+dualbound = 3705885.012714, lowerbound=1305549.012714, norm of subgrad 1143.152226 dualbound = 3705885.012714, lowerbound=1305549.012714, norm of subgrad 36.593658 stepsize= 1.000000
+dualbound = 3705930.332319, lowerbound=1301245.332319, norm of subgrad 1141.257785 dualbound = 3705930.332319, lowerbound=1301245.332319, norm of subgrad 35.627512 stepsize= 1.000000
+dualbound = 3706003.195661, lowerbound=1300633.195661, norm of subgrad 1140.966781 dualbound = 3706003.195661, lowerbound=1300633.195661, norm of subgrad 35.282621 stepsize= 1.000000
+dualbound = 3706063.605661, lowerbound=1301251.605661, norm of subgrad 1141.255714 dualbound = 3706063.605661, lowerbound=1301251.605661, norm of subgrad 35.684871 stepsize= 1.000000
+dualbound = 3706131.442148, lowerbound=1308008.442148, norm of subgrad 1144.207779 dualbound = 3706131.442148, lowerbound=1308008.442148, norm of subgrad 35.648794 stepsize= 1.000000
+dualbound = 3706165.270013, lowerbound=1303345.270013, norm of subgrad 1142.204566 dualbound = 3706165.270013, lowerbound=1303345.270013, norm of subgrad 36.329435 stepsize= 1.000000
+dualbound = 3706237.318822, lowerbound=1301110.318822, norm of subgrad 1141.210462 dualbound = 3706237.318822, lowerbound=1301110.318822, norm of subgrad 36.373738 stepsize= 1.000000
+dualbound = 3706304.543397, lowerbound=1302165.543397, norm of subgrad 1141.677513 dualbound = 3706304.543397, lowerbound=1302165.543397, norm of subgrad 36.458532 stepsize= 1.000000
+dualbound = 3706361.339879, lowerbound=1300790.339879, norm of subgrad 1141.058868 dualbound = 3706361.339879, lowerbound=1300790.339879, norm of subgrad 35.802185 stepsize= 1.000000
+dualbound = 3706433.240892, lowerbound=1301460.240892, norm of subgrad 1141.363764 dualbound = 3706433.240892, lowerbound=1301460.240892, norm of subgrad 36.371706 stepsize= 1.000000
+dualbound = 3706488.870878, lowerbound=1302386.870878, norm of subgrad 1141.745537 dualbound = 3706488.870878, lowerbound=1302386.870878, norm of subgrad 35.378383 stepsize= 1.000000
+dualbound = 3706564.513052, lowerbound=1301158.513052, norm of subgrad 1141.204413 dualbound = 3706564.513052, lowerbound=1301158.513052, norm of subgrad 35.561808 stepsize= 1.000000
+dualbound = 3706638.079098, lowerbound=1293241.079098, norm of subgrad 1137.703863 dualbound = 3706638.079098, lowerbound=1293241.079098, norm of subgrad 34.678034 stepsize= 1.000000
+dualbound = 3706687.357120, lowerbound=1304186.357120, norm of subgrad 1142.529368 dualbound = 3706687.357120, lowerbound=1304186.357120, norm of subgrad 35.160745 stepsize= 1.000000
+dualbound = 3706749.915900, lowerbound=1300520.915900, norm of subgrad 1140.912756 dualbound = 3706749.915900, lowerbound=1300520.915900, norm of subgrad 34.979405 stepsize= 1.000000
+dualbound = 3706823.477413, lowerbound=1304621.477413, norm of subgrad 1142.725023 dualbound = 3706823.477413, lowerbound=1304621.477413, norm of subgrad 35.672980 stepsize= 1.000000
+dualbound = 3706885.785898, lowerbound=1296503.785898, norm of subgrad 1139.185580 dualbound = 3706885.785898, lowerbound=1296503.785898, norm of subgrad 36.087511 stepsize= 1.000000
+dualbound = 3706907.306392, lowerbound=1303290.306392, norm of subgrad 1142.162119 dualbound = 3706907.306392, lowerbound=1303290.306392, norm of subgrad 35.574155 stepsize= 1.000000
+dualbound = 3707000.291629, lowerbound=1300516.291629, norm of subgrad 1140.937462 dualbound = 3707000.291629, lowerbound=1300516.291629, norm of subgrad 36.262725 stepsize= 1.000000
+dualbound = 3707068.395471, lowerbound=1301754.395471, norm of subgrad 1141.495245 dualbound = 3707068.395471, lowerbound=1301754.395471, norm of subgrad 36.401976 stepsize= 1.000000
+dualbound = 3707119.273650, lowerbound=1302484.273650, norm of subgrad 1141.808335 dualbound = 3707119.273650, lowerbound=1302484.273650, norm of subgrad 35.956615 stepsize= 1.000000
+dualbound = 3707169.315655, lowerbound=1293207.315655, norm of subgrad 1137.741761 dualbound = 3707169.315655, lowerbound=1293207.315655, norm of subgrad 36.042225 stepsize= 1.000000
+dualbound = 3707243.538300, lowerbound=1301730.538300, norm of subgrad 1141.472093 dualbound = 3707243.538300, lowerbound=1301730.538300, norm of subgrad 36.086322 stepsize= 1.000000
+dualbound = 3707310.729566, lowerbound=1306975.729566, norm of subgrad 1143.758160 dualbound = 3707310.729566, lowerbound=1306975.729566, norm of subgrad 35.695816 stepsize= 1.000000
+dualbound = 3707388.238729, lowerbound=1294858.238729, norm of subgrad 1138.447293 dualbound = 3707388.238729, lowerbound=1294858.238729, norm of subgrad 35.798173 stepsize= 1.000000
+dualbound = 3707447.264684, lowerbound=1301297.264684, norm of subgrad 1141.267832 dualbound = 3707447.264684, lowerbound=1301297.264684, norm of subgrad 35.412229 stepsize= 1.000000
+dualbound = 3707492.150887, lowerbound=1299945.150887, norm of subgrad 1140.680126 dualbound = 3707492.150887, lowerbound=1299945.150887, norm of subgrad 35.367870 stepsize= 1.000000
+dualbound = 3707575.962532, lowerbound=1299192.962532, norm of subgrad 1140.365276 dualbound = 3707575.962532, lowerbound=1299192.962532, norm of subgrad 36.384222 stepsize= 1.000000
+dualbound = 3707600.333314, lowerbound=1299340.333314, norm of subgrad 1140.417175 dualbound = 3707600.333314, lowerbound=1299340.333314, norm of subgrad 35.147842 stepsize= 1.000000
+dualbound = 3707699.691072, lowerbound=1300470.691072, norm of subgrad 1140.910904 dualbound = 3707699.691072, lowerbound=1300470.691072, norm of subgrad 36.143571 stepsize= 1.000000
+dualbound = 3707749.523933, lowerbound=1302100.523933, norm of subgrad 1141.641592 dualbound = 3707749.523933, lowerbound=1302100.523933, norm of subgrad 35.983786 stepsize= 1.000000
+dualbound = 3707821.555301, lowerbound=1297097.555301, norm of subgrad 1139.411056 dualbound = 3707821.555301, lowerbound=1297097.555301, norm of subgrad 35.100304 stepsize= 1.000000
+dualbound = 3707886.447769, lowerbound=1307265.447769, norm of subgrad 1143.889176 dualbound = 3707886.447769, lowerbound=1307265.447769, norm of subgrad 35.803526 stepsize= 1.000000
+dualbound = 3707937.611948, lowerbound=1294292.611948, norm of subgrad 1138.195331 dualbound = 3707937.611948, lowerbound=1294292.611948, norm of subgrad 35.315212 stepsize= 1.000000
+dualbound = 3708009.123905, lowerbound=1301025.123905, norm of subgrad 1141.167439 dualbound = 3708009.123905, lowerbound=1301025.123905, norm of subgrad 36.187179 stepsize= 1.000000
+dualbound = 3708055.342971, lowerbound=1302193.342971, norm of subgrad 1141.691439 dualbound = 3708055.342971, lowerbound=1302193.342971, norm of subgrad 36.224564 stepsize= 1.000000
+dualbound = 3708126.370775, lowerbound=1298953.370775, norm of subgrad 1140.259344 dualbound = 3708126.370775, lowerbound=1298953.370775, norm of subgrad 36.180489 stepsize= 1.000000
+dualbound = 3708179.712043, lowerbound=1305022.712043, norm of subgrad 1142.918944 dualbound = 3708179.712043, lowerbound=1305022.712043, norm of subgrad 35.976955 stepsize= 1.000000
+dualbound = 3708243.844246, lowerbound=1297038.844246, norm of subgrad 1139.426103 dualbound = 3708243.844246, lowerbound=1297038.844246, norm of subgrad 36.292316 stepsize= 1.000000
+dualbound = 3708292.317075, lowerbound=1302319.317075, norm of subgrad 1141.740039 dualbound = 3708292.317075, lowerbound=1302319.317075, norm of subgrad 36.048201 stepsize= 1.000000
+dualbound = 3708361.183334, lowerbound=1302784.183334, norm of subgrad 1141.920393 dualbound = 3708361.183334, lowerbound=1302784.183334, norm of subgrad 35.593065 stepsize= 1.000000
+dualbound = 3708459.412487, lowerbound=1295232.412487, norm of subgrad 1138.593173 dualbound = 3708459.412487, lowerbound=1295232.412487, norm of subgrad 35.499706 stepsize= 1.000000
+dualbound = 3708516.805142, lowerbound=1306101.805142, norm of subgrad 1143.369059 dualbound = 3708516.805142, lowerbound=1306101.805142, norm of subgrad 35.332600 stepsize= 1.000000
+dualbound = 3708581.162138, lowerbound=1294537.162138, norm of subgrad 1138.304951 dualbound = 3708581.162138, lowerbound=1294537.162138, norm of subgrad 35.571857 stepsize= 1.000000
+dualbound = 3708631.021177, lowerbound=1305130.021177, norm of subgrad 1142.939640 dualbound = 3708631.021177, lowerbound=1305130.021177, norm of subgrad 35.083601 stepsize= 1.000000
+dualbound = 3708710.574965, lowerbound=1299256.574965, norm of subgrad 1140.397990 dualbound = 3708710.574965, lowerbound=1299256.574965, norm of subgrad 36.476757 stepsize= 1.000000
+dualbound = 3708740.816822, lowerbound=1295691.816822, norm of subgrad 1138.850656 dualbound = 3708740.816822, lowerbound=1295691.816822, norm of subgrad 36.321369 stepsize= 1.000000
+dualbound = 3708831.840842, lowerbound=1297830.840842, norm of subgrad 1139.756044 dualbound = 3708831.840842, lowerbound=1297830.840842, norm of subgrad 36.111273 stepsize= 1.000000
+dualbound = 3708870.986488, lowerbound=1303681.986488, norm of subgrad 1142.332257 dualbound = 3708870.986488, lowerbound=1303681.986488, norm of subgrad 35.779123 stepsize= 1.000000
+dualbound = 3708946.170702, lowerbound=1300302.170702, norm of subgrad 1140.837487 dualbound = 3708946.170702, lowerbound=1300302.170702, norm of subgrad 35.821561 stepsize= 1.000000
+dualbound = 3709004.814370, lowerbound=1309525.814370, norm of subgrad 1144.883319 dualbound = 3709004.814370, lowerbound=1309525.814370, norm of subgrad 35.925529 stepsize= 1.000000
+dualbound = 3709082.580043, lowerbound=1295132.580043, norm of subgrad 1138.580072 dualbound = 3709082.580043, lowerbound=1295132.580043, norm of subgrad 36.190685 stepsize= 1.000000
+dualbound = 3709114.438191, lowerbound=1306590.438191, norm of subgrad 1143.606767 dualbound = 3709114.438191, lowerbound=1306590.438191, norm of subgrad 35.747142 stepsize= 1.000000
+dualbound = 3709193.995054, lowerbound=1303359.995054, norm of subgrad 1142.193502 dualbound = 3709193.995054, lowerbound=1303359.995054, norm of subgrad 36.408198 stepsize= 1.000000
+dualbound = 3709254.168180, lowerbound=1303345.168180, norm of subgrad 1142.180445 dualbound = 3709254.168180, lowerbound=1303345.168180, norm of subgrad 35.932898 stepsize= 1.000000
+dualbound = 3709330.341493, lowerbound=1300627.341493, norm of subgrad 1140.977362 dualbound = 3709330.341493, lowerbound=1300627.341493, norm of subgrad 35.751550 stepsize= 1.000000
+dualbound = 3709369.999101, lowerbound=1300327.999101, norm of subgrad 1140.851874 dualbound = 3709369.999101, lowerbound=1300327.999101, norm of subgrad 35.421146 stepsize= 1.000000
+dualbound = 3709468.474484, lowerbound=1304276.474484, norm of subgrad 1142.602938 dualbound = 3709468.474484, lowerbound=1304276.474484, norm of subgrad 36.925268 stepsize= 1.000000
+dualbound = 3709493.954879, lowerbound=1303384.954879, norm of subgrad 1142.211432 dualbound = 3709493.954879, lowerbound=1303384.954879, norm of subgrad 35.881477 stepsize= 1.000000
+dualbound = 3709571.417837, lowerbound=1302492.417837, norm of subgrad 1141.797013 dualbound = 3709571.417837, lowerbound=1302492.417837, norm of subgrad 35.853354 stepsize= 1.000000
+dualbound = 3709625.726276, lowerbound=1299067.726276, norm of subgrad 1140.313872 dualbound = 3709625.726276, lowerbound=1299067.726276, norm of subgrad 36.087511 stepsize= 1.000000
+dualbound = 3709688.161002, lowerbound=1298252.161002, norm of subgrad 1139.970246 dualbound = 3709688.161002, lowerbound=1298252.161002, norm of subgrad 36.639251 stepsize= 1.000000
+dualbound = 3709754.149306, lowerbound=1300605.149306, norm of subgrad 1140.970267 dualbound = 3709754.149306, lowerbound=1300605.149306, norm of subgrad 35.692973 stepsize= 1.000000
+dualbound = 3709809.621366, lowerbound=1303230.621366, norm of subgrad 1142.133364 dualbound = 3709809.621366, lowerbound=1303230.621366, norm of subgrad 35.964873 stepsize= 1.000000
+dualbound = 3709873.350816, lowerbound=1308543.350816, norm of subgrad 1144.434074 dualbound = 3709873.350816, lowerbound=1308543.350816, norm of subgrad 35.351513 stepsize= 1.000000
+dualbound = 3709946.533065, lowerbound=1298876.533065, norm of subgrad 1140.201532 dualbound = 3709946.533065, lowerbound=1298876.533065, norm of subgrad 35.442661 stepsize= 1.000000
+dualbound = 3710015.213657, lowerbound=1295987.213657, norm of subgrad 1138.919318 dualbound = 3710015.213657, lowerbound=1295987.213657, norm of subgrad 34.909606 stepsize= 1.000000
+dualbound = 3710091.542783, lowerbound=1301485.542783, norm of subgrad 1141.318335 dualbound = 3710091.542783, lowerbound=1301485.542783, norm of subgrad 34.616891 stepsize= 1.000000
+dualbound = 3710154.704940, lowerbound=1298061.704940, norm of subgrad 1139.866968 dualbound = 3710154.704940, lowerbound=1298061.704940, norm of subgrad 36.030017 stepsize= 1.000000
+dualbound = 3710197.215431, lowerbound=1303846.215431, norm of subgrad 1142.416831 dualbound = 3710197.215431, lowerbound=1303846.215431, norm of subgrad 36.228587 stepsize= 1.000000
+dualbound = 3710252.595854, lowerbound=1297757.595854, norm of subgrad 1139.720841 dualbound = 3710252.595854, lowerbound=1297757.595854, norm of subgrad 35.515918 stepsize= 1.000000
+dualbound = 3710323.030478, lowerbound=1301082.030478, norm of subgrad 1141.178790 dualbound = 3710323.030478, lowerbound=1301082.030478, norm of subgrad 35.741217 stepsize= 1.000000
+dualbound = 3710392.191877, lowerbound=1302335.191877, norm of subgrad 1141.722905 dualbound = 3710392.191877, lowerbound=1302335.191877, norm of subgrad 35.569107 stepsize= 1.000000
+dualbound = 3710445.097048, lowerbound=1303674.097048, norm of subgrad 1142.319175 dualbound = 3710445.097048, lowerbound=1303674.097048, norm of subgrad 35.663780 stepsize= 1.000000
+dualbound = 3710506.997594, lowerbound=1300370.997594, norm of subgrad 1140.901397 dualbound = 3710506.997594, lowerbound=1300370.997594, norm of subgrad 36.700144 stepsize= 1.000000
+dualbound = 3710556.544669, lowerbound=1301942.544669, norm of subgrad 1141.544806 dualbound = 3710556.544669, lowerbound=1301942.544669, norm of subgrad 35.093405 stepsize= 1.000000
+dualbound = 3710647.922100, lowerbound=1298041.922100, norm of subgrad 1139.846008 dualbound = 3710647.922100, lowerbound=1298041.922100, norm of subgrad 36.033005 stepsize= 1.000000
+dualbound = 3710708.758364, lowerbound=1303348.758364, norm of subgrad 1142.192960 dualbound = 3710708.758364, lowerbound=1303348.758364, norm of subgrad 36.288239 stepsize= 1.000000
+dualbound = 3710753.055910, lowerbound=1303068.055910, norm of subgrad 1142.056941 dualbound = 3710753.055910, lowerbound=1303068.055910, norm of subgrad 35.641234 stepsize= 1.000000
+dualbound = 3710831.037943, lowerbound=1298133.037943, norm of subgrad 1139.876764 dualbound = 3710831.037943, lowerbound=1298133.037943, norm of subgrad 35.552525 stepsize= 1.000000
+dualbound = 3710906.748724, lowerbound=1305734.748724, norm of subgrad 1143.201097 dualbound = 3710906.748724, lowerbound=1305734.748724, norm of subgrad 35.351249 stepsize= 1.000000
+dualbound = 3710947.389555, lowerbound=1296957.389555, norm of subgrad 1139.394308 dualbound = 3710947.389555, lowerbound=1296957.389555, norm of subgrad 36.092116 stepsize= 1.000000
+dualbound = 3710998.165706, lowerbound=1305218.165706, norm of subgrad 1143.011883 dualbound = 3710998.165706, lowerbound=1305218.165706, norm of subgrad 36.177011 stepsize= 1.000000
+dualbound = 3711088.934000, lowerbound=1301741.934000, norm of subgrad 1141.442041 dualbound = 3711088.934000, lowerbound=1301741.934000, norm of subgrad 35.196140 stepsize= 1.000000
+dualbound = 3711163.026014, lowerbound=1304469.026014, norm of subgrad 1142.658316 dualbound = 3711163.026014, lowerbound=1304469.026014, norm of subgrad 35.680415 stepsize= 1.000000
+dualbound = 3711196.534181, lowerbound=1302993.534181, norm of subgrad 1142.018185 dualbound = 3711196.534181, lowerbound=1302993.534181, norm of subgrad 35.291758 stepsize= 1.000000
+dualbound = 3711272.249501, lowerbound=1303487.249501, norm of subgrad 1142.214187 dualbound = 3711272.249501, lowerbound=1303487.249501, norm of subgrad 35.237981 stepsize= 1.000000
+dualbound = 3711340.886232, lowerbound=1304178.886232, norm of subgrad 1142.545354 dualbound = 3711340.886232, lowerbound=1304178.886232, norm of subgrad 36.050475 stepsize= 1.000000
+dualbound = 3711397.516282, lowerbound=1300028.516282, norm of subgrad 1140.714915 dualbound = 3711397.516282, lowerbound=1300028.516282, norm of subgrad 35.477176 stepsize= 1.000000
+dualbound = 3711453.835424, lowerbound=1298216.835424, norm of subgrad 1139.939839 dualbound = 3711453.835424, lowerbound=1298216.835424, norm of subgrad 36.087659 stepsize= 1.000000
+dualbound = 3711492.316334, lowerbound=1306241.316334, norm of subgrad 1143.454554 dualbound = 3711492.316334, lowerbound=1306241.316334, norm of subgrad 35.853604 stepsize= 1.000000
+dualbound = 3711587.114136, lowerbound=1292298.114136, norm of subgrad 1137.293328 dualbound = 3711587.114136, lowerbound=1292298.114136, norm of subgrad 35.111220 stepsize= 1.000000
+dualbound = 3711623.456870, lowerbound=1306870.456870, norm of subgrad 1143.728314 dualbound = 3711623.456870, lowerbound=1306870.456870, norm of subgrad 35.781877 stepsize= 1.000000
+dualbound = 3711708.643040, lowerbound=1299685.643040, norm of subgrad 1140.542258 dualbound = 3711708.643040, lowerbound=1299685.643040, norm of subgrad 35.159439 stepsize= 1.000000
+dualbound = 3711766.072765, lowerbound=1304982.072765, norm of subgrad 1142.880603 dualbound = 3711766.072765, lowerbound=1304982.072765, norm of subgrad 35.375553 stepsize= 1.000000
+dualbound = 3711822.761308, lowerbound=1302959.761308, norm of subgrad 1141.989825 dualbound = 3711822.761308, lowerbound=1302959.761308, norm of subgrad 35.180798 stepsize= 1.000000
+dualbound = 3711885.046540, lowerbound=1301900.046540, norm of subgrad 1141.515241 dualbound = 3711885.046540, lowerbound=1301900.046540, norm of subgrad 34.918265 stepsize= 1.000000
+dualbound = 3711947.824085, lowerbound=1297390.824085, norm of subgrad 1139.554660 dualbound = 3711947.824085, lowerbound=1297390.824085, norm of subgrad 35.451058 stepsize= 1.000000
+dualbound = 3711992.542773, lowerbound=1299217.542773, norm of subgrad 1140.359392 dualbound = 3711992.542773, lowerbound=1299217.542773, norm of subgrad 35.308904 stepsize= 1.000000
+dualbound = 3712061.222474, lowerbound=1301820.222474, norm of subgrad 1141.516633 dualbound = 3712061.222474, lowerbound=1301820.222474, norm of subgrad 36.175678 stepsize= 1.000000
+dualbound = 3712112.410111, lowerbound=1304504.410111, norm of subgrad 1142.696990 dualbound = 3712112.410111, lowerbound=1304504.410111, norm of subgrad 36.099690 stepsize= 1.000000
+dualbound = 3712191.600599, lowerbound=1301024.600599, norm of subgrad 1141.174220 dualbound = 3712191.600599, lowerbound=1301024.600599, norm of subgrad 36.512881 stepsize= 1.000000
+dualbound = 3712238.756817, lowerbound=1302093.756817, norm of subgrad 1141.653081 dualbound = 3712238.756817, lowerbound=1302093.756817, norm of subgrad 36.402695 stepsize= 1.000000
+dualbound = 3712295.922423, lowerbound=1301258.922423, norm of subgrad 1141.268558 dualbound = 3712295.922423, lowerbound=1301258.922423, norm of subgrad 35.946705 stepsize= 1.000000
+dualbound = 3712395.406831, lowerbound=1298968.406831, norm of subgrad 1140.259359 dualbound = 3712395.406831, lowerbound=1298968.406831, norm of subgrad 36.365979 stepsize= 1.000000
+dualbound = 3712443.775323, lowerbound=1297233.775323, norm of subgrad 1139.493210 dualbound = 3712443.775323, lowerbound=1297233.775323, norm of subgrad 35.487582 stepsize= 1.000000
+dualbound = 3712506.965958, lowerbound=1303751.965958, norm of subgrad 1142.369890 dualbound = 3712506.965958, lowerbound=1303751.965958, norm of subgrad 36.334428 stepsize= 1.000000
+dualbound = 3712546.038080, lowerbound=1298506.038080, norm of subgrad 1140.076769 dualbound = 3712546.038080, lowerbound=1298506.038080, norm of subgrad 36.167280 stepsize= 1.000000
+dualbound = 3712605.414033, lowerbound=1300778.414033, norm of subgrad 1141.102718 dualbound = 3712605.414033, lowerbound=1300778.414033, norm of subgrad 37.368114 stepsize= 1.000000
+dualbound = 3712663.442141, lowerbound=1301538.442141, norm of subgrad 1141.408972 dualbound = 3712663.442141, lowerbound=1301538.442141, norm of subgrad 36.524350 stepsize= 1.000000
+dualbound = 3712741.349803, lowerbound=1297466.349803, norm of subgrad 1139.611052 dualbound = 3712741.349803, lowerbound=1297466.349803, norm of subgrad 36.399281 stepsize= 1.000000
+dualbound = 3712796.818766, lowerbound=1307384.818766, norm of subgrad 1143.967578 dualbound = 3712796.818766, lowerbound=1307384.818766, norm of subgrad 36.502999 stepsize= 1.000000
+dualbound = 3712867.120183, lowerbound=1296365.120183, norm of subgrad 1139.109354 dualbound = 3712867.120183, lowerbound=1296365.120183, norm of subgrad 35.711363 stepsize= 1.000000
+dualbound = 3712934.612674, lowerbound=1303550.612674, norm of subgrad 1142.253305 dualbound = 3712934.612674, lowerbound=1303550.612674, norm of subgrad 35.489329 stepsize= 1.000000
+dualbound = 3713020.732878, lowerbound=1300733.732878, norm of subgrad 1141.015658 dualbound = 3713020.732878, lowerbound=1300733.732878, norm of subgrad 35.624713 stepsize= 1.000000
+dualbound = 3713059.058809, lowerbound=1297925.058809, norm of subgrad 1139.786409 dualbound = 3713059.058809, lowerbound=1297925.058809, norm of subgrad 35.018937 stepsize= 1.000000
+dualbound = 3713133.514980, lowerbound=1302051.514980, norm of subgrad 1141.576329 dualbound = 3713133.514980, lowerbound=1302051.514980, norm of subgrad 34.920713 stepsize= 1.000000
+dualbound = 3713203.129600, lowerbound=1298573.129600, norm of subgrad 1140.051810 dualbound = 3713203.129600, lowerbound=1298573.129600, norm of subgrad 34.851322 stepsize= 1.000000
+dualbound = 3713265.652958, lowerbound=1300616.652958, norm of subgrad 1140.955149 dualbound = 3713265.652958, lowerbound=1300616.652958, norm of subgrad 34.993190 stepsize= 1.000000
+dualbound = 3713316.208369, lowerbound=1303123.208369, norm of subgrad 1142.058759 dualbound = 3713316.208369, lowerbound=1303123.208369, norm of subgrad 35.007934 stepsize= 1.000000
+dualbound = 3713386.924848, lowerbound=1306192.924848, norm of subgrad 1143.426397 dualbound = 3713386.924848, lowerbound=1306192.924848, norm of subgrad 36.079308 stepsize= 1.000000
+dualbound = 3713433.686655, lowerbound=1305033.686655, norm of subgrad 1142.905371 dualbound = 3713433.686655, lowerbound=1305033.686655, norm of subgrad 35.295351 stepsize= 1.000000
+dualbound = 3713522.033690, lowerbound=1304257.033690, norm of subgrad 1142.585241 dualbound = 3713522.033690, lowerbound=1304257.033690, norm of subgrad 36.501329 stepsize= 1.000000
+dualbound = 3713555.515918, lowerbound=1300993.515918, norm of subgrad 1141.147894 dualbound = 3713555.515918, lowerbound=1300993.515918, norm of subgrad 35.475093 stepsize= 1.000000
+dualbound = 3713629.590974, lowerbound=1299754.590974, norm of subgrad 1140.592211 dualbound = 3713629.590974, lowerbound=1299754.590974, norm of subgrad 35.638112 stepsize= 1.000000
+dualbound = 3713695.166932, lowerbound=1298821.166932, norm of subgrad 1140.189093 dualbound = 3713695.166932, lowerbound=1298821.166932, norm of subgrad 35.715206 stepsize= 1.000000
+dualbound = 3713742.197355, lowerbound=1299429.197355, norm of subgrad 1140.473672 dualbound = 3713742.197355, lowerbound=1299429.197355, norm of subgrad 36.028189 stepsize= 1.000000
+dualbound = 3713811.052561, lowerbound=1302442.052561, norm of subgrad 1141.769264 dualbound = 3713811.052561, lowerbound=1302442.052561, norm of subgrad 35.550741 stepsize= 1.000000
+dualbound = 3713901.340371, lowerbound=1305883.340371, norm of subgrad 1143.273957 dualbound = 3713901.340371, lowerbound=1305883.340371, norm of subgrad 35.809046 stepsize= 1.000000
+dualbound = 3713933.389260, lowerbound=1297816.389260, norm of subgrad 1139.782606 dualbound = 3713933.389260, lowerbound=1297816.389260, norm of subgrad 36.332477 stepsize= 1.000000
+dualbound = 3714000.532463, lowerbound=1302597.532463, norm of subgrad 1141.868439 dualbound = 3714000.532463, lowerbound=1302597.532463, norm of subgrad 36.512234 stepsize= 1.000000
+dualbound = 3714055.964261, lowerbound=1297490.964261, norm of subgrad 1139.623606 dualbound = 3714055.964261, lowerbound=1297490.964261, norm of subgrad 36.144596 stepsize= 1.000000
+dualbound = 3714130.659880, lowerbound=1302035.659880, norm of subgrad 1141.586466 dualbound = 3714130.659880, lowerbound=1302035.659880, norm of subgrad 35.478101 stepsize= 1.000000
+dualbound = 3714190.803667, lowerbound=1295178.803667, norm of subgrad 1138.608714 dualbound = 3714190.803667, lowerbound=1295178.803667, norm of subgrad 36.209720 stepsize= 1.000000
+dualbound = 3714243.916614, lowerbound=1311745.916614, norm of subgrad 1145.873866 dualbound = 3714243.916614, lowerbound=1311745.916614, norm of subgrad 36.525511 stepsize= 1.000000
+dualbound = 3714312.888595, lowerbound=1296993.888595, norm of subgrad 1139.420857 dualbound = 3714312.888595, lowerbound=1296993.888595, norm of subgrad 36.809944 stepsize= 1.000000
+dualbound = 3714377.790926, lowerbound=1305880.790926, norm of subgrad 1143.293834 dualbound = 3714377.790926, lowerbound=1305880.790926, norm of subgrad 36.123432 stepsize= 1.000000
+dualbound = 3714452.173386, lowerbound=1297294.173386, norm of subgrad 1139.512691 dualbound = 3714452.173386, lowerbound=1297294.173386, norm of subgrad 35.628394 stepsize= 1.000000
+dualbound = 3714516.039226, lowerbound=1304270.039226, norm of subgrad 1142.577367 dualbound = 3714516.039226, lowerbound=1304270.039226, norm of subgrad 35.733260 stepsize= 1.000000
+dualbound = 3714577.816664, lowerbound=1301098.816664, norm of subgrad 1141.142330 dualbound = 3714577.816664, lowerbound=1301098.816664, norm of subgrad 34.187387 stepsize= 1.000000
+dualbound = 3714675.263612, lowerbound=1296233.263612, norm of subgrad 1139.022065 dualbound = 3714675.263612, lowerbound=1296233.263612, norm of subgrad 35.148925 stepsize= 1.000000
+dualbound = 3714704.528321, lowerbound=1297293.528321, norm of subgrad 1139.526449 dualbound = 3714704.528321, lowerbound=1297293.528321, norm of subgrad 35.443825 stepsize= 1.000000
+dualbound = 3714771.936569, lowerbound=1301257.936569, norm of subgrad 1141.260679 dualbound = 3714771.936569, lowerbound=1301257.936569, norm of subgrad 35.852591 stepsize= 1.000000
+dualbound = 3714820.762648, lowerbound=1308200.762648, norm of subgrad 1144.292691 dualbound = 3714820.762648, lowerbound=1308200.762648, norm of subgrad 35.409407 stepsize= 1.000000
+dualbound = 3714894.042767, lowerbound=1301918.042767, norm of subgrad 1141.554222 dualbound = 3714894.042767, lowerbound=1301918.042767, norm of subgrad 36.073260 stepsize= 1.000000
+dualbound = 3714931.405921, lowerbound=1296988.405921, norm of subgrad 1139.392999 dualbound = 3714931.405921, lowerbound=1296988.405921, norm of subgrad 35.571943 stepsize= 1.000000
+dualbound = 3715032.483774, lowerbound=1299439.483774, norm of subgrad 1140.453631 dualbound = 3715032.483774, lowerbound=1299439.483774, norm of subgrad 36.001081 stepsize= 1.000000
+dualbound = 3715072.299489, lowerbound=1297002.299489, norm of subgrad 1139.403484 dualbound = 3715072.299489, lowerbound=1297002.299489, norm of subgrad 35.746548 stepsize= 1.000000
+dualbound = 3715145.836286, lowerbound=1304042.836286, norm of subgrad 1142.485814 dualbound = 3715145.836286, lowerbound=1304042.836286, norm of subgrad 36.118372 stepsize= 1.000000
+dualbound = 3715198.400572, lowerbound=1300009.400572, norm of subgrad 1140.711796 dualbound = 3715198.400572, lowerbound=1300009.400572, norm of subgrad 35.588822 stepsize= 1.000000
+dualbound = 3715270.924582, lowerbound=1311761.924582, norm of subgrad 1145.864706 dualbound = 3715270.924582, lowerbound=1311761.924582, norm of subgrad 36.283936 stepsize= 1.000000
+dualbound = 3715329.035212, lowerbound=1298272.035212, norm of subgrad 1139.958348 dualbound = 3715329.035212, lowerbound=1298272.035212, norm of subgrad 35.932028 stepsize= 1.000000
+dualbound = 3715404.579358, lowerbound=1303867.579358, norm of subgrad 1142.394669 dualbound = 3715404.579358, lowerbound=1303867.579358, norm of subgrad 35.686750 stepsize= 1.000000
+dualbound = 3715459.107848, lowerbound=1300186.107848, norm of subgrad 1140.769963 dualbound = 3715459.107848, lowerbound=1300186.107848, norm of subgrad 34.993263 stepsize= 1.000000
+dualbound = 3715506.203598, lowerbound=1303147.203598, norm of subgrad 1142.081522 dualbound = 3715506.203598, lowerbound=1303147.203598, norm of subgrad 35.356693 stepsize= 1.000000
+dualbound = 3715579.219407, lowerbound=1298492.219407, norm of subgrad 1140.028166 dualbound = 3715579.219407, lowerbound=1298492.219407, norm of subgrad 35.284782 stepsize= 1.000000
+dualbound = 3715651.810091, lowerbound=1307287.810091, norm of subgrad 1143.909441 dualbound = 3715651.810091, lowerbound=1307287.810091, norm of subgrad 36.243492 stepsize= 1.000000
+dualbound = 3715672.408732, lowerbound=1297944.408732, norm of subgrad 1139.847099 dualbound = 3715672.408732, lowerbound=1297944.408732, norm of subgrad 36.436227 stepsize= 1.000000
+dualbound = 3715732.889407, lowerbound=1305617.889407, norm of subgrad 1143.183227 dualbound = 3715732.889407, lowerbound=1305617.889407, norm of subgrad 36.200562 stepsize= 1.000000
+dualbound = 3715825.339529, lowerbound=1295708.339529, norm of subgrad 1138.845178 dualbound = 3715825.339529, lowerbound=1295708.339529, norm of subgrad 36.775673 stepsize= 1.000000
+dualbound = 3715869.866003, lowerbound=1303135.866003, norm of subgrad 1142.086628 dualbound = 3715869.866003, lowerbound=1303135.866003, norm of subgrad 35.644445 stepsize= 1.000000
+dualbound = 3715934.151552, lowerbound=1303144.151552, norm of subgrad 1142.075370 dualbound = 3715934.151552, lowerbound=1303144.151552, norm of subgrad 35.444119 stepsize= 1.000000
+dualbound = 3715996.621661, lowerbound=1308023.621661, norm of subgrad 1144.224900 dualbound = 3715996.621661, lowerbound=1308023.621661, norm of subgrad 35.909193 stepsize= 1.000000
+dualbound = 3716053.197190, lowerbound=1302658.197190, norm of subgrad 1141.871795 dualbound = 3716053.197190, lowerbound=1302658.197190, norm of subgrad 35.631103 stepsize= 1.000000
+dualbound = 3716151.328709, lowerbound=1301956.328709, norm of subgrad 1141.540770 dualbound = 3716151.328709, lowerbound=1301956.328709, norm of subgrad 35.456051 stepsize= 1.000000
+dualbound = 3716198.503572, lowerbound=1305654.503572, norm of subgrad 1143.193555 dualbound = 3716198.503572, lowerbound=1305654.503572, norm of subgrad 35.835386 stepsize= 1.000000
+dualbound = 3716240.215652, lowerbound=1296691.215652, norm of subgrad 1139.255992 dualbound = 3716240.215652, lowerbound=1296691.215652, norm of subgrad 35.421915 stepsize= 1.000000
+dualbound = 3716309.497377, lowerbound=1304589.497377, norm of subgrad 1142.700528 dualbound = 3716309.497377, lowerbound=1304589.497377, norm of subgrad 35.274378 stepsize= 1.000000
+dualbound = 3716391.765143, lowerbound=1298710.765143, norm of subgrad 1140.123136 dualbound = 3716391.765143, lowerbound=1298710.765143, norm of subgrad 35.387396 stepsize= 1.000000
+dualbound = 3716444.514688, lowerbound=1306900.514688, norm of subgrad 1143.722219 dualbound = 3716444.514688, lowerbound=1306900.514688, norm of subgrad 35.394202 stepsize= 1.000000
+dualbound = 3716511.451777, lowerbound=1300918.451777, norm of subgrad 1141.110622 dualbound = 3716511.451777, lowerbound=1300918.451777, norm of subgrad 35.804149 stepsize= 1.000000
+dualbound = 3716550.200421, lowerbound=1305276.200421, norm of subgrad 1143.026334 dualbound = 3716550.200421, lowerbound=1305276.200421, norm of subgrad 35.661585 stepsize= 1.000000
+dualbound = 3716644.443410, lowerbound=1300623.443410, norm of subgrad 1140.961193 dualbound = 3716644.443410, lowerbound=1300623.443410, norm of subgrad 35.542130 stepsize= 1.000000
+dualbound = 3716693.770718, lowerbound=1298765.770718, norm of subgrad 1140.148574 dualbound = 3716693.770718, lowerbound=1298765.770718, norm of subgrad 34.961798 stepsize= 1.000000
+dualbound = 3716743.694043, lowerbound=1300514.694043, norm of subgrad 1140.941144 dualbound = 3716743.694043, lowerbound=1300514.694043, norm of subgrad 35.803957 stepsize= 1.000000
+dualbound = 3716813.411975, lowerbound=1302063.411975, norm of subgrad 1141.617892 dualbound = 3716813.411975, lowerbound=1302063.411975, norm of subgrad 36.023852 stepsize= 1.000000
+dualbound = 3716892.116791, lowerbound=1299874.116791, norm of subgrad 1140.648113 dualbound = 3716892.116791, lowerbound=1299874.116791, norm of subgrad 35.814869 stepsize= 1.000000
+dualbound = 3716949.375686, lowerbound=1300606.375686, norm of subgrad 1140.969928 dualbound = 3716949.375686, lowerbound=1300606.375686, norm of subgrad 35.542354 stepsize= 1.000000
+dualbound = 3717005.944238, lowerbound=1296831.944238, norm of subgrad 1139.303271 dualbound = 3717005.944238, lowerbound=1296831.944238, norm of subgrad 35.164877 stepsize= 1.000000
+dualbound = 3717086.025828, lowerbound=1302794.025828, norm of subgrad 1141.926454 dualbound = 3717086.025828, lowerbound=1302794.025828, norm of subgrad 35.806167 stepsize= 1.000000
+dualbound = 3717137.324687, lowerbound=1302412.324687, norm of subgrad 1141.730408 dualbound = 3717137.324687, lowerbound=1302412.324687, norm of subgrad 34.457203 stepsize= 1.000000
+dualbound = 3717217.963987, lowerbound=1300352.963987, norm of subgrad 1140.861501 dualbound = 3717217.963987, lowerbound=1300352.963987, norm of subgrad 35.953293 stepsize= 1.000000
+dualbound = 3717260.026085, lowerbound=1303615.026085, norm of subgrad 1142.288504 dualbound = 3717260.026085, lowerbound=1303615.026085, norm of subgrad 35.356217 stepsize= 1.000000
+dualbound = 3717306.989690, lowerbound=1300553.989690, norm of subgrad 1140.957488 dualbound = 3717306.989690, lowerbound=1300553.989690, norm of subgrad 35.734628 stepsize= 1.000000
+dualbound = 3717388.597277, lowerbound=1305482.597277, norm of subgrad 1143.125364 dualbound = 3717388.597277, lowerbound=1305482.597277, norm of subgrad 36.532281 stepsize= 1.000000
+dualbound = 3717434.438074, lowerbound=1296085.438074, norm of subgrad 1138.980877 dualbound = 3717434.438074, lowerbound=1296085.438074, norm of subgrad 35.182962 stepsize= 1.000000
+dualbound = 3717543.781648, lowerbound=1303958.781648, norm of subgrad 1142.430209 dualbound = 3717543.781648, lowerbound=1303958.781648, norm of subgrad 36.018656 stepsize= 1.000000
+dualbound = 3717565.212997, lowerbound=1300738.212997, norm of subgrad 1141.054430 dualbound = 3717565.212997, lowerbound=1300738.212997, norm of subgrad 35.894726 stepsize= 1.000000
+dualbound = 3717625.814144, lowerbound=1294571.814144, norm of subgrad 1138.334667 dualbound = 3717625.814144, lowerbound=1294571.814144, norm of subgrad 35.980566 stepsize= 1.000000
+dualbound = 3717682.711069, lowerbound=1305566.711069, norm of subgrad 1143.169152 dualbound = 3717682.711069, lowerbound=1305566.711069, norm of subgrad 36.412868 stepsize= 1.000000
+dualbound = 3717743.025922, lowerbound=1300478.025922, norm of subgrad 1140.957942 dualbound = 3717743.025922, lowerbound=1300478.025922, norm of subgrad 36.977221 stepsize= 1.000000
+dualbound = 3717793.321273, lowerbound=1308171.321273, norm of subgrad 1144.290750 dualbound = 3717793.321273, lowerbound=1308171.321273, norm of subgrad 35.781215 stepsize= 1.000000
+dualbound = 3717887.941564, lowerbound=1301512.941564, norm of subgrad 1141.378965 dualbound = 3717887.941564, lowerbound=1301512.941564, norm of subgrad 36.436524 stepsize= 1.000000
+dualbound = 3717930.938399, lowerbound=1304570.938399, norm of subgrad 1142.709035 dualbound = 3717930.938399, lowerbound=1304570.938399, norm of subgrad 35.440046 stepsize= 1.000000
+dualbound = 3718005.926560, lowerbound=1307200.926560, norm of subgrad 1143.878458 dualbound = 3718005.926560, lowerbound=1307200.926560, norm of subgrad 36.496413 stepsize= 1.000000
+dualbound = 3718055.324736, lowerbound=1292810.324736, norm of subgrad 1137.543549 dualbound = 3718055.324736, lowerbound=1292810.324736, norm of subgrad 35.276028 stepsize= 1.000000
+dualbound = 3718169.561085, lowerbound=1305746.561085, norm of subgrad 1143.216323 dualbound = 3718169.561085, lowerbound=1305746.561085, norm of subgrad 36.210998 stepsize= 1.000000
+dualbound = 3718184.485667, lowerbound=1306155.485667, norm of subgrad 1143.405215 dualbound = 3718184.485667, lowerbound=1306155.485667, norm of subgrad 35.141494 stepsize= 1.000000
+dualbound = 3718244.749438, lowerbound=1303121.749438, norm of subgrad 1142.098835 dualbound = 3718244.749438, lowerbound=1303121.749438, norm of subgrad 36.445353 stepsize= 1.000000
+dualbound = 3718303.789145, lowerbound=1305395.789145, norm of subgrad 1143.075146 dualbound = 3718303.789145, lowerbound=1305395.789145, norm of subgrad 35.833500 stepsize= 1.000000
+dualbound = 3718403.890493, lowerbound=1303434.890493, norm of subgrad 1142.209653 dualbound = 3718403.890493, lowerbound=1303434.890493, norm of subgrad 36.167684 stepsize= 1.000000
+dualbound = 3718426.756076, lowerbound=1300349.756076, norm of subgrad 1140.889020 dualbound = 3718426.756076, lowerbound=1300349.756076, norm of subgrad 36.067514 stepsize= 1.000000
+dualbound = 3718509.244218, lowerbound=1303473.244218, norm of subgrad 1142.240887 dualbound = 3718509.244218, lowerbound=1303473.244218, norm of subgrad 36.379777 stepsize= 1.000000
+dualbound = 3718551.198065, lowerbound=1305129.198065, norm of subgrad 1142.973402 dualbound = 3718551.198065, lowerbound=1305129.198065, norm of subgrad 36.068738 stepsize= 1.000000
+dualbound = 3718625.336688, lowerbound=1299769.336688, norm of subgrad 1140.573249 dualbound = 3718625.336688, lowerbound=1299769.336688, norm of subgrad 34.815781 stepsize= 1.000000
+dualbound = 3718711.337782, lowerbound=1298294.337782, norm of subgrad 1139.938743 dualbound = 3718711.337782, lowerbound=1298294.337782, norm of subgrad 35.383627 stepsize= 1.000000
+dualbound = 3718749.163393, lowerbound=1306870.163393, norm of subgrad 1143.691901 dualbound = 3718749.163393, lowerbound=1306870.163393, norm of subgrad 34.624061 stepsize= 1.000000
+dualbound = 3718824.052660, lowerbound=1298535.052660, norm of subgrad 1140.073266 dualbound = 3718824.052660, lowerbound=1298535.052660, norm of subgrad 36.150923 stepsize= 1.000000
+dualbound = 3718843.937564, lowerbound=1304461.937564, norm of subgrad 1142.676217 dualbound = 3718843.937564, lowerbound=1304461.937564, norm of subgrad 35.593327 stepsize= 1.000000
+dualbound = 3718941.360644, lowerbound=1301957.360644, norm of subgrad 1141.561370 dualbound = 3718941.360644, lowerbound=1301957.360644, norm of subgrad 36.089099 stepsize= 1.000000
+dualbound = 3719006.346842, lowerbound=1299583.346842, norm of subgrad 1140.543444 dualbound = 3719006.346842, lowerbound=1299583.346842, norm of subgrad 36.345374 stepsize= 1.000000
+dualbound = 3719043.652488, lowerbound=1296316.652488, norm of subgrad 1139.119244 dualbound = 3719043.652488, lowerbound=1296316.652488, norm of subgrad 36.239559 stepsize= 1.000000
+dualbound = 3719094.446724, lowerbound=1308083.446724, norm of subgrad 1144.261966 dualbound = 3719094.446724, lowerbound=1308083.446724, norm of subgrad 36.094241 stepsize= 1.000000
+dualbound = 3719178.404689, lowerbound=1297594.404689, norm of subgrad 1139.677764 dualbound = 3719178.404689, lowerbound=1297594.404689, norm of subgrad 36.809754 stepsize= 1.000000
+dualbound = 3719248.157770, lowerbound=1303778.157770, norm of subgrad 1142.374789 dualbound = 3719248.157770, lowerbound=1303778.157770, norm of subgrad 36.218132 stepsize= 1.000000
+dualbound = 3719287.058527, lowerbound=1302107.058527, norm of subgrad 1141.655841 dualbound = 3719287.058527, lowerbound=1302107.058527, norm of subgrad 36.192551 stepsize= 1.000000
+dualbound = 3719362.768189, lowerbound=1300906.768189, norm of subgrad 1141.122591 dualbound = 3719362.768189, lowerbound=1300906.768189, norm of subgrad 36.465184 stepsize= 1.000000
+dualbound = 3719431.781205, lowerbound=1305575.781205, norm of subgrad 1143.143377 dualbound = 3719431.781205, lowerbound=1305575.781205, norm of subgrad 35.637242 stepsize= 1.000000
+dualbound = 3719485.819931, lowerbound=1299268.819931, norm of subgrad 1140.406866 dualbound = 3719485.819931, lowerbound=1299268.819931, norm of subgrad 36.235876 stepsize= 1.000000
+dualbound = 3719546.256922, lowerbound=1303520.256922, norm of subgrad 1142.227323 dualbound = 3719546.256922, lowerbound=1303520.256922, norm of subgrad 34.977664 stepsize= 1.000000
+dualbound = 3719651.911471, lowerbound=1308090.911471, norm of subgrad 1144.233766 dualbound = 3719651.911471, lowerbound=1308090.911471, norm of subgrad 35.856025 stepsize= 1.000000
+dualbound = 3719662.793939, lowerbound=1299329.793939, norm of subgrad 1140.418254 dualbound = 3719662.793939, lowerbound=1299329.793939, norm of subgrad 35.140895 stepsize= 1.000000
+dualbound = 3719744.979610, lowerbound=1300678.979610, norm of subgrad 1141.009632 dualbound = 3719744.979610, lowerbound=1300678.979610, norm of subgrad 36.141191 stepsize= 1.000000
+dualbound = 3719798.083535, lowerbound=1297056.083535, norm of subgrad 1139.403828 dualbound = 3719798.083535, lowerbound=1297056.083535, norm of subgrad 35.186701 stepsize= 1.000000
+dualbound = 3719877.409738, lowerbound=1300143.409738, norm of subgrad 1140.772287 dualbound = 3719877.409738, lowerbound=1300143.409738, norm of subgrad 36.018415 stepsize= 1.000000
+dualbound = 3719913.972688, lowerbound=1302384.972688, norm of subgrad 1141.774046 dualbound = 3719913.972688, lowerbound=1302384.972688, norm of subgrad 36.049451 stepsize= 1.000000
+dualbound = 3719985.476775, lowerbound=1301249.476775, norm of subgrad 1141.246458 dualbound = 3719985.476775, lowerbound=1301249.476775, norm of subgrad 35.573924 stepsize= 1.000000
+dualbound = 3720075.884086, lowerbound=1301293.884086, norm of subgrad 1141.283437 dualbound = 3720075.884086, lowerbound=1301293.884086, norm of subgrad 36.392407 stepsize= 1.000000
+dualbound = 3720112.269421, lowerbound=1301060.269421, norm of subgrad 1141.171884 dualbound = 3720112.269421, lowerbound=1301060.269421, norm of subgrad 35.346645 stepsize= 1.000000
+dualbound = 3720186.942695, lowerbound=1303033.942695, norm of subgrad 1142.058205 dualbound = 3720186.942695, lowerbound=1303033.942695, norm of subgrad 36.574216 stepsize= 1.000000
+dualbound = 3720235.441857, lowerbound=1302772.441857, norm of subgrad 1141.927512 dualbound = 3720235.441857, lowerbound=1302772.441857, norm of subgrad 35.700128 stepsize= 1.000000
+dualbound = 3720311.304970, lowerbound=1298328.304970, norm of subgrad 1139.974256 dualbound = 3720311.304970, lowerbound=1298328.304970, norm of subgrad 35.900740 stepsize= 1.000000
+dualbound = 3720382.823454, lowerbound=1302486.823454, norm of subgrad 1141.780988 dualbound = 3720382.823454, lowerbound=1302486.823454, norm of subgrad 35.334381 stepsize= 1.000000
+dualbound = 3720454.445405, lowerbound=1302309.445405, norm of subgrad 1141.701119 dualbound = 3720454.445405, lowerbound=1302309.445405, norm of subgrad 35.265024 stepsize= 1.000000
+dualbound = 3720496.279109, lowerbound=1307583.279109, norm of subgrad 1144.011049 dualbound = 3720496.279109, lowerbound=1307583.279109, norm of subgrad 34.926118 stepsize= 1.000000
+dualbound = 3720581.865969, lowerbound=1297300.865969, norm of subgrad 1139.475698 dualbound = 3720581.865969, lowerbound=1297300.865969, norm of subgrad 34.490388 stepsize= 1.000000
+dualbound = 3720645.298582, lowerbound=1306247.298582, norm of subgrad 1143.407757 dualbound = 3720645.298582, lowerbound=1306247.298582, norm of subgrad 34.603939 stepsize= 1.000000
+dualbound = 3720685.382483, lowerbound=1303545.382483, norm of subgrad 1142.263272 dualbound = 3720685.382483, lowerbound=1303545.382483, norm of subgrad 35.497661 stepsize= 1.000000
+dualbound = 3720756.000003, lowerbound=1297748.000003, norm of subgrad 1139.698206 dualbound = 3720756.000003, lowerbound=1297748.000003, norm of subgrad 35.137125 stepsize= 1.000000
+dualbound = 3720812.043631, lowerbound=1303576.043631, norm of subgrad 1142.281946 dualbound = 3720812.043631, lowerbound=1303576.043631, norm of subgrad 35.889325 stepsize= 1.000000
+dualbound = 3720874.101354, lowerbound=1303077.101355, norm of subgrad 1142.053896 dualbound = 3720874.101354, lowerbound=1303077.101355, norm of subgrad 35.665918 stepsize= 1.000000
+dualbound = 3720924.152914, lowerbound=1303693.152914, norm of subgrad 1142.328391 dualbound = 3720924.152914, lowerbound=1303693.152914, norm of subgrad 35.651810 stepsize= 1.000000
+dualbound = 3720996.907478, lowerbound=1303891.907478, norm of subgrad 1142.407067 dualbound = 3720996.907478, lowerbound=1303891.907478, norm of subgrad 35.703705 stepsize= 1.000000
+dualbound = 3721049.979477, lowerbound=1301447.979477, norm of subgrad 1141.343060 dualbound = 3721049.979477, lowerbound=1301447.979477, norm of subgrad 35.624037 stepsize= 1.000000
+dualbound = 3721136.609744, lowerbound=1304224.609744, norm of subgrad 1142.525540 dualbound = 3721136.609744, lowerbound=1304224.609744, norm of subgrad 35.023282 stepsize= 1.000000
+dualbound = 3721194.419354, lowerbound=1298625.419354, norm of subgrad 1140.090970 dualbound = 3721194.419354, lowerbound=1298625.419354, norm of subgrad 35.210930 stepsize= 1.000000
+dualbound = 3721234.108600, lowerbound=1305003.108600, norm of subgrad 1142.923055 dualbound = 3721234.108600, lowerbound=1305003.108600, norm of subgrad 36.189629 stepsize= 1.000000
+dualbound = 3721303.057527, lowerbound=1299299.057527, norm of subgrad 1140.367948 dualbound = 3721303.057527, lowerbound=1299299.057527, norm of subgrad 34.769943 stepsize= 1.000000
+dualbound = 3721378.236614, lowerbound=1306031.236614, norm of subgrad 1143.340385 dualbound = 3721378.236614, lowerbound=1306031.236614, norm of subgrad 35.653599 stepsize= 1.000000
+dualbound = 3721414.643953, lowerbound=1302261.643953, norm of subgrad 1141.701206 dualbound = 3721414.643953, lowerbound=1302261.643953, norm of subgrad 35.445837 stepsize= 1.000000
+dualbound = 3721489.150779, lowerbound=1297454.150779, norm of subgrad 1139.576742 dualbound = 3721489.150779, lowerbound=1297454.150779, norm of subgrad 35.433132 stepsize= 1.000000
+dualbound = 3721539.456477, lowerbound=1303361.456477, norm of subgrad 1142.183635 dualbound = 3721539.456477, lowerbound=1303361.456477, norm of subgrad 35.669394 stepsize= 1.000000
+dualbound = 3721623.205582, lowerbound=1298891.205582, norm of subgrad 1140.209281 dualbound = 3721623.205582, lowerbound=1298891.205582, norm of subgrad 35.633539 stepsize= 1.000000
+dualbound = 3721676.701424, lowerbound=1305658.701424, norm of subgrad 1143.185331 dualbound = 3721676.701424, lowerbound=1305658.701424, norm of subgrad 35.601908 stepsize= 1.000000
+dualbound = 3721764.731981, lowerbound=1296290.731981, norm of subgrad 1139.055193 dualbound = 3721764.731981, lowerbound=1296290.731981, norm of subgrad 35.270817 stepsize= 1.000000
+dualbound = 3721800.293138, lowerbound=1299992.293138, norm of subgrad 1140.709119 dualbound = 3721800.293138, lowerbound=1299992.293138, norm of subgrad 35.504382 stepsize= 1.000000
+dualbound = 3721872.091173, lowerbound=1301914.091173, norm of subgrad 1141.553368 dualbound = 3721872.091173, lowerbound=1301914.091173, norm of subgrad 36.080438 stepsize= 1.000000
+dualbound = 3721918.811686, lowerbound=1308203.811686, norm of subgrad 1144.301014 dualbound = 3721918.811686, lowerbound=1308203.811686, norm of subgrad 35.605063 stepsize= 1.000000
+dualbound = 3721977.713741, lowerbound=1298652.713741, norm of subgrad 1140.118289 dualbound = 3721977.713741, lowerbound=1298652.713741, norm of subgrad 35.719771 stepsize= 1.000000
+dualbound = 3722037.905393, lowerbound=1302521.905393, norm of subgrad 1141.816494 dualbound = 3722037.905393, lowerbound=1302521.905393, norm of subgrad 35.821665 stepsize= 1.000000
+dualbound = 3722100.171504, lowerbound=1305991.171504, norm of subgrad 1143.346042 dualbound = 3722100.171504, lowerbound=1305991.171504, norm of subgrad 36.211409 stepsize= 1.000000
+dualbound = 3722147.801863, lowerbound=1300276.801863, norm of subgrad 1140.824177 dualbound = 3722147.801863, lowerbound=1300276.801863, norm of subgrad 35.364253 stepsize= 1.000000
+dualbound = 3722258.098063, lowerbound=1308259.098063, norm of subgrad 1144.306820 dualbound = 3722258.098063, lowerbound=1308259.098063, norm of subgrad 35.906771 stepsize= 1.000000
+dualbound = 3722283.941126, lowerbound=1300780.941126, norm of subgrad 1141.045547 dualbound = 3722283.941126, lowerbound=1300780.941126, norm of subgrad 35.069118 stepsize= 1.000000
+dualbound = 3722358.004601, lowerbound=1302569.004601, norm of subgrad 1141.816537 dualbound = 3722358.004601, lowerbound=1302569.004601, norm of subgrad 35.356237 stepsize= 1.000000
+dualbound = 3722419.102204, lowerbound=1303492.102204, norm of subgrad 1142.217187 dualbound = 3722419.102204, lowerbound=1303492.102204, norm of subgrad 35.058488 stepsize= 1.000000
+dualbound = 3722495.351535, lowerbound=1297052.351535, norm of subgrad 1139.407895 dualbound = 3722495.351535, lowerbound=1297052.351535, norm of subgrad 35.696629 stepsize= 1.000000
+dualbound = 3722528.143407, lowerbound=1302242.143407, norm of subgrad 1141.684345 dualbound = 3722528.143407, lowerbound=1302242.143407, norm of subgrad 35.125374 stepsize= 1.000000
+dualbound = 3722602.989779, lowerbound=1301139.989779, norm of subgrad 1141.199803 dualbound = 3722602.989779, lowerbound=1301139.989779, norm of subgrad 35.662955 stepsize= 1.000000
+dualbound = 3722677.152709, lowerbound=1305004.152709, norm of subgrad 1142.883700 dualbound = 3722677.152709, lowerbound=1305004.152709, norm of subgrad 35.400041 stepsize= 1.000000
+dualbound = 3722734.436691, lowerbound=1304092.436691, norm of subgrad 1142.504458 dualbound = 3722734.436691, lowerbound=1304092.436691, norm of subgrad 35.795027 stepsize= 1.000000
+dualbound = 3722800.277983, lowerbound=1303049.277983, norm of subgrad 1142.044342 dualbound = 3722800.277983, lowerbound=1303049.277983, norm of subgrad 35.802811 stepsize= 1.000000
+dualbound = 3722853.822777, lowerbound=1296691.822777, norm of subgrad 1139.261086 dualbound = 3722853.822777, lowerbound=1296691.822777, norm of subgrad 35.742759 stepsize= 1.000000
+dualbound = 3722923.663598, lowerbound=1301782.663598, norm of subgrad 1141.487040 dualbound = 3722923.663598, lowerbound=1301782.663598, norm of subgrad 35.774863 stepsize= 1.000000
+dualbound = 3722998.509831, lowerbound=1302142.509831, norm of subgrad 1141.621439 dualbound = 3722998.509831, lowerbound=1302142.509831, norm of subgrad 35.097667 stepsize= 1.000000
+dualbound = 3723040.264431, lowerbound=1299319.264431, norm of subgrad 1140.443889 dualbound = 3723040.264431, lowerbound=1299319.264431, norm of subgrad 36.534293 stepsize= 1.000000
+dualbound = 3723101.278103, lowerbound=1299295.278103, norm of subgrad 1140.408821 dualbound = 3723101.278103, lowerbound=1299295.278103, norm of subgrad 36.027957 stepsize= 1.000000
+dualbound = 3723171.215727, lowerbound=1307321.215727, norm of subgrad 1143.941963 dualbound = 3723171.215727, lowerbound=1307321.215727, norm of subgrad 36.768704 stepsize= 1.000000
+dualbound = 3723236.940791, lowerbound=1306463.940791, norm of subgrad 1143.551022 dualbound = 3723236.940791, lowerbound=1306463.940791, norm of subgrad 36.203937 stepsize= 1.000000
+dualbound = 3723287.341025, lowerbound=1301159.341025, norm of subgrad 1141.220111 dualbound = 3723287.341025, lowerbound=1301159.341025, norm of subgrad 35.698743 stepsize= 1.000000
+dualbound = 3723347.185768, lowerbound=1301517.185768, norm of subgrad 1141.386957 dualbound = 3723347.185768, lowerbound=1301517.185768, norm of subgrad 36.150308 stepsize= 1.000000
+dualbound = 3723420.901133, lowerbound=1308994.901133, norm of subgrad 1144.646190 dualbound = 3723420.901133, lowerbound=1308994.901133, norm of subgrad 35.968255 stepsize= 1.000000
+dualbound = 3723493.166869, lowerbound=1300291.166869, norm of subgrad 1140.819515 dualbound = 3723493.166869, lowerbound=1300291.166869, norm of subgrad 35.359097 stepsize= 1.000000
+dualbound = 3723546.623709, lowerbound=1304843.623709, norm of subgrad 1142.853282 dualbound = 3723546.623709, lowerbound=1304843.623709, norm of subgrad 36.379346 stepsize= 1.000000
+dualbound = 3723597.262084, lowerbound=1305012.262084, norm of subgrad 1142.892936 dualbound = 3723597.262084, lowerbound=1305012.262084, norm of subgrad 35.251076 stepsize= 1.000000
+dualbound = 3723675.991357, lowerbound=1300024.991357, norm of subgrad 1140.698905 dualbound = 3723675.991357, lowerbound=1300024.991357, norm of subgrad 35.323212 stepsize= 1.000000
+dualbound = 3723748.154418, lowerbound=1303792.154418, norm of subgrad 1142.351590 dualbound = 3723748.154418, lowerbound=1303792.154418, norm of subgrad 35.315196 stepsize= 1.000000
+dualbound = 3723766.086191, lowerbound=1297930.086191, norm of subgrad 1139.815374 dualbound = 3723766.086191, lowerbound=1297930.086191, norm of subgrad 35.593985 stepsize= 1.000000
+dualbound = 3723862.700251, lowerbound=1299627.700251, norm of subgrad 1140.558504 dualbound = 3723862.700251, lowerbound=1299627.700251, norm of subgrad 36.641698 stepsize= 1.000000
+dualbound = 3723871.961880, lowerbound=1303923.961880, norm of subgrad 1142.443417 dualbound = 3723871.961880, lowerbound=1303923.961880, norm of subgrad 35.528322 stepsize= 1.000000
+dualbound = 3723982.600918, lowerbound=1306146.600918, norm of subgrad 1143.410950 dualbound = 3723982.600918, lowerbound=1306146.600918, norm of subgrad 36.778241 stepsize= 1.000000
+dualbound = 3724029.731861, lowerbound=1304480.731861, norm of subgrad 1142.669564 dualbound = 3724029.731861, lowerbound=1304480.731861, norm of subgrad 35.498323 stepsize= 1.000000
+dualbound = 3724125.348241, lowerbound=1304110.348241, norm of subgrad 1142.489102 dualbound = 3724125.348241, lowerbound=1304110.348241, norm of subgrad 35.589554 stepsize= 1.000000
+dualbound = 3724169.429996, lowerbound=1302873.429996, norm of subgrad 1141.945896 dualbound = 3724169.429996, lowerbound=1302873.429996, norm of subgrad 34.800600 stepsize= 1.000000
+dualbound = 3724224.649078, lowerbound=1303424.649078, norm of subgrad 1142.239313 dualbound = 3724224.649078, lowerbound=1303424.649078, norm of subgrad 36.622658 stepsize= 1.000000
+dualbound = 3724256.266053, lowerbound=1303904.266053, norm of subgrad 1142.413789 dualbound = 3724256.266053, lowerbound=1303904.266053, norm of subgrad 35.165565 stepsize= 1.000000
+dualbound = 3724371.880999, lowerbound=1304915.880999, norm of subgrad 1142.842894 dualbound = 3724371.880999, lowerbound=1304915.880999, norm of subgrad 35.911209 stepsize= 1.000000
+dualbound = 3724408.822982, lowerbound=1296325.822982, norm of subgrad 1139.074108 dualbound = 3724408.822982, lowerbound=1296325.822982, norm of subgrad 34.654610 stepsize= 1.000000
+dualbound = 3724481.037952, lowerbound=1304196.037952, norm of subgrad 1142.545421 dualbound = 3724481.037952, lowerbound=1304196.037952, norm of subgrad 35.863839 stepsize= 1.000000
+dualbound = 3724553.083349, lowerbound=1299459.083349, norm of subgrad 1140.431534 dualbound = 3724553.083349, lowerbound=1299459.083349, norm of subgrad 34.598344 stepsize= 1.000000
+dualbound = 3724607.735858, lowerbound=1307601.735858, norm of subgrad 1144.024797 dualbound = 3724607.735858, lowerbound=1307601.735858, norm of subgrad 35.293803 stepsize= 1.000000
+dualbound = 3724648.358670, lowerbound=1299944.358670, norm of subgrad 1140.672766 dualbound = 3724648.358670, lowerbound=1299944.358670, norm of subgrad 35.080234 stepsize= 1.000000
+dualbound = 3724728.853409, lowerbound=1302223.853409, norm of subgrad 1141.664510 dualbound = 3724728.853409, lowerbound=1302223.853409, norm of subgrad 35.418847 stepsize= 1.000000
+dualbound = 3724788.481346, lowerbound=1299637.481346, norm of subgrad 1140.508869 dualbound = 3724788.481346, lowerbound=1299637.481346, norm of subgrad 34.389358 stepsize= 1.000000
+dualbound = 3724851.252523, lowerbound=1308072.252523, norm of subgrad 1144.233041 dualbound = 3724851.252523, lowerbound=1308072.252523, norm of subgrad 35.493255 stepsize= 1.000000
+dualbound = 3724896.570311, lowerbound=1300771.570311, norm of subgrad 1141.030924 dualbound = 3724896.570311, lowerbound=1300771.570311, norm of subgrad 35.004540 stepsize= 1.000000
+dualbound = 3724975.343572, lowerbound=1301640.343572, norm of subgrad 1141.394911 dualbound = 3724975.343572, lowerbound=1301640.343572, norm of subgrad 34.939566 stepsize= 1.000000
+dualbound = 3725029.895505, lowerbound=1303581.895505, norm of subgrad 1142.253866 dualbound = 3725029.895505, lowerbound=1303581.895505, norm of subgrad 34.879105 stepsize= 1.000000
+dualbound = 3725090.745640, lowerbound=1296396.745640, norm of subgrad 1139.118407 dualbound = 3725090.745640, lowerbound=1296396.745640, norm of subgrad 35.423864 stepsize= 1.000000
+dualbound = 3725139.374157, lowerbound=1307186.374157, norm of subgrad 1143.864666 dualbound = 3725139.374157, lowerbound=1307186.374157, norm of subgrad 35.897472 stepsize= 1.000000
+dualbound = 3725187.550487, lowerbound=1305709.550487, norm of subgrad 1143.241685 dualbound = 3725187.550487, lowerbound=1305709.550487, norm of subgrad 36.608419 stepsize= 1.000000
+dualbound = 3725253.081376, lowerbound=1299193.081376, norm of subgrad 1140.343843 dualbound = 3725253.081376, lowerbound=1299193.081376, norm of subgrad 35.447579 stepsize= 1.000000
+dualbound = 3725353.466378, lowerbound=1304575.466378, norm of subgrad 1142.729831 dualbound = 3725353.466378, lowerbound=1304575.466378, norm of subgrad 36.829133 stepsize= 1.000000
+dualbound = 3725391.703052, lowerbound=1305877.703052, norm of subgrad 1143.288548 dualbound = 3725391.703052, lowerbound=1305877.703052, norm of subgrad 35.626348 stepsize= 1.000000
+dualbound = 3725465.768621, lowerbound=1303684.768621, norm of subgrad 1142.324721 dualbound = 3725465.768621, lowerbound=1303684.768621, norm of subgrad 35.987019 stepsize= 1.000000
+dualbound = 3725508.801299, lowerbound=1298781.801299, norm of subgrad 1140.192879 dualbound = 3725508.801299, lowerbound=1298781.801299, norm of subgrad 36.069831 stepsize= 1.000000
+dualbound = 3725588.705726, lowerbound=1299323.705726, norm of subgrad 1140.425230 dualbound = 3725588.705726, lowerbound=1299323.705726, norm of subgrad 36.412971 stepsize= 1.000000
+dualbound = 3725616.280993, lowerbound=1304865.280993, norm of subgrad 1142.868007 dualbound = 3725616.280993, lowerbound=1304865.280993, norm of subgrad 36.188054 stepsize= 1.000000
+dualbound = 3725703.746541, lowerbound=1302143.746541, norm of subgrad 1141.639937 dualbound = 3725703.746541, lowerbound=1302143.746541, norm of subgrad 35.853390 stepsize= 1.000000
+dualbound = 3725762.785726, lowerbound=1306347.785726, norm of subgrad 1143.494550 dualbound = 3725762.785726, lowerbound=1306347.785726, norm of subgrad 35.931034 stepsize= 1.000000
+dualbound = 3725820.942042, lowerbound=1301776.942042, norm of subgrad 1141.457376 dualbound = 3725820.942042, lowerbound=1301776.942042, norm of subgrad 34.729761 stepsize= 1.000000
+dualbound = 3725907.281918, lowerbound=1302808.281918, norm of subgrad 1141.909927 dualbound = 3725907.281918, lowerbound=1302808.281918, norm of subgrad 35.161625 stepsize= 1.000000
+dualbound = 3725955.443061, lowerbound=1305600.443061, norm of subgrad 1143.160288 dualbound = 3725955.443061, lowerbound=1305600.443061, norm of subgrad 35.540978 stepsize= 1.000000
+dualbound = 3726012.796111, lowerbound=1299774.796111, norm of subgrad 1140.609397 dualbound = 3726012.796111, lowerbound=1299774.796111, norm of subgrad 35.670058 stepsize= 1.000000
+dualbound = 3726047.111720, lowerbound=1302119.111720, norm of subgrad 1141.627396 dualbound = 3726047.111720, lowerbound=1302119.111720, norm of subgrad 35.047334 stepsize= 1.000000
+dualbound = 3726124.871413, lowerbound=1305197.871413, norm of subgrad 1142.983758 dualbound = 3726124.871413, lowerbound=1305197.871413, norm of subgrad 35.941059 stepsize= 1.000000
+dualbound = 3726205.306502, lowerbound=1304590.306502, norm of subgrad 1142.691694 dualbound = 3726205.306502, lowerbound=1304590.306502, norm of subgrad 35.134528 stepsize= 1.000000
+dualbound = 3726259.762731, lowerbound=1300957.762731, norm of subgrad 1141.163337 dualbound = 3726259.762731, lowerbound=1300957.762731, norm of subgrad 36.748554 stepsize= 1.000000
+dualbound = 3726302.831844, lowerbound=1301249.831844, norm of subgrad 1141.247051 dualbound = 3726302.831844, lowerbound=1301249.831844, norm of subgrad 35.186206 stepsize= 1.000000
+dualbound = 3726354.573734, lowerbound=1305349.573734, norm of subgrad 1143.075489 dualbound = 3726354.573734, lowerbound=1305349.573734, norm of subgrad 36.383264 stepsize= 1.000000
+dualbound = 3726426.867480, lowerbound=1301687.867480, norm of subgrad 1141.442012 dualbound = 3726426.867480, lowerbound=1301687.867480, norm of subgrad 35.697251 stepsize= 1.000000
+dualbound = 3726510.347389, lowerbound=1303348.347389, norm of subgrad 1142.169579 dualbound = 3726510.347389, lowerbound=1303348.347389, norm of subgrad 35.867533 stepsize= 1.000000
+dualbound = 3726582.185709, lowerbound=1308612.185709, norm of subgrad 1144.456284 dualbound = 3726582.185709, lowerbound=1308612.185709, norm of subgrad 35.211338 stepsize= 1.000000
+dualbound = 3726621.753680, lowerbound=1305059.753680, norm of subgrad 1142.904963 dualbound = 3726621.753680, lowerbound=1305059.753680, norm of subgrad 34.807585 stepsize= 1.000000
+dualbound = 3726701.956008, lowerbound=1305990.956008, norm of subgrad 1143.327143 dualbound = 3726701.956008, lowerbound=1305990.956008, norm of subgrad 35.863663 stepsize= 1.000000
+dualbound = 3726738.368359, lowerbound=1298618.368359, norm of subgrad 1140.090509 dualbound = 3726738.368359, lowerbound=1298618.368359, norm of subgrad 34.991604 stepsize= 1.000000
+dualbound = 3726807.612461, lowerbound=1304743.612461, norm of subgrad 1142.799025 dualbound = 3726807.612461, lowerbound=1304743.612461, norm of subgrad 36.266294 stepsize= 1.000000
+dualbound = 3726862.095628, lowerbound=1300834.095628, norm of subgrad 1141.075850 dualbound = 3726862.095628, lowerbound=1300834.095628, norm of subgrad 35.699904 stepsize= 1.000000
+dualbound = 3726935.991215, lowerbound=1306983.991215, norm of subgrad 1143.773575 dualbound = 3726935.991215, lowerbound=1306983.991215, norm of subgrad 36.164839 stepsize= 1.000000
+dualbound = 3726986.400240, lowerbound=1304984.400240, norm of subgrad 1142.903058 dualbound = 3726986.400240, lowerbound=1304984.400240, norm of subgrad 35.963996 stepsize= 1.000000
+dualbound = 3727050.467944, lowerbound=1303539.467944, norm of subgrad 1142.268562 dualbound = 3727050.467944, lowerbound=1303539.467944, norm of subgrad 36.084175 stepsize= 1.000000
+dualbound = 3727105.095123, lowerbound=1298988.095123, norm of subgrad 1140.259661 dualbound = 3727105.095123, lowerbound=1298988.095123, norm of subgrad 35.477136 stepsize= 1.000000
+dualbound = 3727188.183224, lowerbound=1308734.183224, norm of subgrad 1144.514388 dualbound = 3727188.183224, lowerbound=1308734.183224, norm of subgrad 35.525879 stepsize= 1.000000
+dualbound = 3727232.620264, lowerbound=1300111.620264, norm of subgrad 1140.775447 dualbound = 3727232.620264, lowerbound=1300111.620264, norm of subgrad 36.075435 stepsize= 1.000000
+dualbound = 3727282.217715, lowerbound=1306758.217715, norm of subgrad 1143.666568 dualbound = 3727282.217715, lowerbound=1306758.217715, norm of subgrad 35.561179 stepsize= 1.000000
+dualbound = 3727358.309503, lowerbound=1303374.309503, norm of subgrad 1142.155116 dualbound = 3727358.309503, lowerbound=1303374.309503, norm of subgrad 34.929812 stepsize= 1.000000
+dualbound = 3727439.536927, lowerbound=1306638.536927, norm of subgrad 1143.606810 dualbound = 3727439.536927, lowerbound=1306638.536927, norm of subgrad 35.766289 stepsize= 1.000000
+dualbound = 3727478.870019, lowerbound=1302686.870019, norm of subgrad 1141.886540 dualbound = 3727478.870019, lowerbound=1302686.870019, norm of subgrad 35.458893 stepsize= 1.000000
+dualbound = 3727522.573210, lowerbound=1308263.573210, norm of subgrad 1144.342420 dualbound = 3727522.573210, lowerbound=1308263.573210, norm of subgrad 36.051397 stepsize= 1.000000
+dualbound = 3727586.727213, lowerbound=1297446.727213, norm of subgrad 1139.595423 dualbound = 3727586.727213, lowerbound=1297446.727213, norm of subgrad 35.988248 stepsize= 1.000000
+dualbound = 3727661.035007, lowerbound=1307782.035007, norm of subgrad 1144.132438 dualbound = 3727661.035007, lowerbound=1307782.035007, norm of subgrad 36.487091 stepsize= 1.000000
+dualbound = 3727705.254262, lowerbound=1299770.254262, norm of subgrad 1140.615296 dualbound = 3727705.254262, lowerbound=1299770.254262, norm of subgrad 35.738204 stepsize= 1.000000
+dualbound = 3727781.098046, lowerbound=1308925.098046, norm of subgrad 1144.619193 dualbound = 3727781.098046, lowerbound=1308925.098046, norm of subgrad 36.108777 stepsize= 1.000000
+dualbound = 3727838.830905, lowerbound=1302849.830905, norm of subgrad 1141.995986 dualbound = 3727838.830905, lowerbound=1302849.830905, norm of subgrad 36.915212 stepsize= 1.000000
+dualbound = 3727890.618570, lowerbound=1305730.618570, norm of subgrad 1143.241277 dualbound = 3727890.618570, lowerbound=1305730.618570, norm of subgrad 36.356398 stepsize= 1.000000
+dualbound = 3727964.972996, lowerbound=1304283.972996, norm of subgrad 1142.569023 dualbound = 3727964.972996, lowerbound=1304283.972996, norm of subgrad 35.416866 stepsize= 1.000000
+dualbound = 3728030.515228, lowerbound=1302952.515228, norm of subgrad 1141.988842 dualbound = 3728030.515228, lowerbound=1302952.515228, norm of subgrad 35.377143 stepsize= 1.000000
+dualbound = 3728084.751208, lowerbound=1302875.751208, norm of subgrad 1141.970994 dualbound = 3728084.751208, lowerbound=1302875.751208, norm of subgrad 35.724445 stepsize= 1.000000
+dualbound = 3728153.082330, lowerbound=1302479.082330, norm of subgrad 1141.778911 dualbound = 3728153.082330, lowerbound=1302479.082330, norm of subgrad 35.331730 stepsize= 1.000000
+dualbound = 3728232.800804, lowerbound=1300193.800804, norm of subgrad 1140.757117 dualbound = 3728232.800804, lowerbound=1300193.800804, norm of subgrad 34.824108 stepsize= 1.000000
+dualbound = 3728294.926813, lowerbound=1307603.926813, norm of subgrad 1144.006087 dualbound = 3728294.926813, lowerbound=1307603.926813, norm of subgrad 34.758107 stepsize= 1.000000
+dualbound = 3728351.323664, lowerbound=1308286.323664, norm of subgrad 1144.323085 dualbound = 3728351.323664, lowerbound=1308286.323664, norm of subgrad 35.290181 stepsize= 1.000000
+dualbound = 3728389.970411, lowerbound=1303883.970411, norm of subgrad 1142.427665 dualbound = 3728389.970411, lowerbound=1303883.970411, norm of subgrad 35.995093 stepsize= 1.000000
+dualbound = 3728429.947161, lowerbound=1301142.947161, norm of subgrad 1141.219500 dualbound = 3728429.947161, lowerbound=1301142.947161, norm of subgrad 35.762784 stepsize= 1.000000
+dualbound = 3728517.951969, lowerbound=1300883.951969, norm of subgrad 1141.057821 dualbound = 3728517.951969, lowerbound=1300883.951969, norm of subgrad 34.885596 stepsize= 1.000000
+dualbound = 3728586.532025, lowerbound=1302859.532025, norm of subgrad 1141.929303 dualbound = 3728586.532025, lowerbound=1302859.532025, norm of subgrad 34.807759 stepsize= 1.000000
+dualbound = 3728650.792589, lowerbound=1306363.792589, norm of subgrad 1143.494990 dualbound = 3728650.792589, lowerbound=1306363.792589, norm of subgrad 35.794700 stepsize= 1.000000
+dualbound = 3728650.351698, lowerbound=1300857.351698, norm of subgrad 1141.128105 dualbound = 3728650.351698, lowerbound=1300857.351698, norm of subgrad 36.270637 stepsize= 1.000000
+dualbound = 3728729.881771, lowerbound=1305826.881771, norm of subgrad 1143.266759 dualbound = 3728729.881771, lowerbound=1305826.881771, norm of subgrad 36.215053 stepsize= 1.000000
+dualbound = 3728796.010229, lowerbound=1305730.010229, norm of subgrad 1143.255007 dualbound = 3728796.010229, lowerbound=1305730.010229, norm of subgrad 36.988221 stepsize= 1.000000
+dualbound = 3728846.985356, lowerbound=1300482.985356, norm of subgrad 1140.943463 dualbound = 3728846.985356, lowerbound=1300482.985356, norm of subgrad 36.331462 stepsize= 1.000000
+dualbound = 3728922.340910, lowerbound=1299481.340910, norm of subgrad 1140.486888 dualbound = 3728922.340910, lowerbound=1299481.340910, norm of subgrad 36.115863 stepsize= 1.000000
+dualbound = 3728993.243396, lowerbound=1308260.243396, norm of subgrad 1144.325672 dualbound = 3728993.243396, lowerbound=1308260.243396, norm of subgrad 35.943045 stepsize= 1.000000
+dualbound = 3729067.246164, lowerbound=1302862.246164, norm of subgrad 1141.968146 dualbound = 3729067.246164, lowerbound=1302862.246164, norm of subgrad 36.097130 stepsize= 1.000000
+dualbound = 3729114.509340, lowerbound=1304252.509340, norm of subgrad 1142.568820 dualbound = 3729114.509340, lowerbound=1304252.509340, norm of subgrad 35.472006 stepsize= 1.000000
+dualbound = 3729194.122973, lowerbound=1306158.122973, norm of subgrad 1143.380131 dualbound = 3729194.122973, lowerbound=1306158.122973, norm of subgrad 35.208147 stepsize= 1.000000
+dualbound = 3729221.686106, lowerbound=1297115.686106, norm of subgrad 1139.464210 dualbound = 3729221.686106, lowerbound=1297115.686106, norm of subgrad 35.924409 stepsize= 1.000000
+dualbound = 3729280.887266, lowerbound=1300278.887266, norm of subgrad 1140.830350 dualbound = 3729280.887266, lowerbound=1300278.887266, norm of subgrad 35.695954 stepsize= 1.000000
+dualbound = 3729380.023873, lowerbound=1303707.023873, norm of subgrad 1142.327021 dualbound = 3729380.023873, lowerbound=1303707.023873, norm of subgrad 36.098983 stepsize= 1.000000
+dualbound = 3729439.510187, lowerbound=1300234.510187, norm of subgrad 1140.794245 dualbound = 3729439.510187, lowerbound=1300234.510187, norm of subgrad 35.163707 stepsize= 1.000000
+dualbound = 3729491.380988, lowerbound=1310060.380988, norm of subgrad 1145.097542 dualbound = 3729491.380988, lowerbound=1310060.380988, norm of subgrad 35.211799 stepsize= 1.000000
+dualbound = 3729542.977358, lowerbound=1303942.977358, norm of subgrad 1142.440798 dualbound = 3729542.977358, lowerbound=1303942.977358, norm of subgrad 35.771446 stepsize= 1.000000
+dualbound = 3729625.319361, lowerbound=1302611.319361, norm of subgrad 1141.862216 dualbound = 3729625.319361, lowerbound=1302611.319361, norm of subgrad 36.336511 stepsize= 1.000000
+dualbound = 3729648.582826, lowerbound=1300826.582826, norm of subgrad 1141.066862 dualbound = 3729648.582826, lowerbound=1300826.582826, norm of subgrad 35.075112 stepsize= 1.000000
+dualbound = 3729745.981818, lowerbound=1307272.981818, norm of subgrad 1143.890721 dualbound = 3729745.981818, lowerbound=1307272.981818, norm of subgrad 36.199434 stepsize= 1.000000
+dualbound = 3729782.767300, lowerbound=1300680.767300, norm of subgrad 1140.988504 dualbound = 3729782.767300, lowerbound=1300680.767300, norm of subgrad 34.796343 stepsize= 1.000000
+dualbound = 3729883.055001, lowerbound=1295261.055001, norm of subgrad 1138.581598 dualbound = 3729883.055001, lowerbound=1295261.055001, norm of subgrad 34.746046 stepsize= 1.000000
+dualbound = 3729913.085985, lowerbound=1306834.085985, norm of subgrad 1143.697113 dualbound = 3729913.085985, lowerbound=1306834.085985, norm of subgrad 35.199872 stepsize= 1.000000
+dualbound = 3729967.845033, lowerbound=1305016.845033, norm of subgrad 1142.908065 dualbound = 3729967.845033, lowerbound=1305016.845033, norm of subgrad 35.731765 stepsize= 1.000000
+dualbound = 3730028.297687, lowerbound=1301436.297687, norm of subgrad 1141.340570 dualbound = 3730028.297687, lowerbound=1301436.297687, norm of subgrad 35.811348 stepsize= 1.000000
+dualbound = 3730119.444605, lowerbound=1303452.444605, norm of subgrad 1142.200265 dualbound = 3730119.444605, lowerbound=1303452.444605, norm of subgrad 35.498548 stepsize= 1.000000
+dualbound = 3730168.928222, lowerbound=1296481.928222, norm of subgrad 1139.150968 dualbound = 3730168.928222, lowerbound=1296481.928222, norm of subgrad 35.106746 stepsize= 1.000000
+dualbound = 3730226.112519, lowerbound=1306196.112519, norm of subgrad 1143.411174 dualbound = 3730226.112519, lowerbound=1306196.112519, norm of subgrad 35.357945 stepsize= 1.000000
+dualbound = 3730273.999407, lowerbound=1306946.999407, norm of subgrad 1143.764399 dualbound = 3730273.999407, lowerbound=1306946.999407, norm of subgrad 36.026197 stepsize= 1.000000
+dualbound = 3730322.779809, lowerbound=1305495.779809, norm of subgrad 1143.152999 dualbound = 3730322.779809, lowerbound=1305495.779809, norm of subgrad 36.766566 stepsize= 1.000000
+dualbound = 3730385.060360, lowerbound=1300111.060360, norm of subgrad 1140.773010 dualbound = 3730385.060360, lowerbound=1300111.060360, norm of subgrad 36.253007 stepsize= 1.000000
+dualbound = 3730451.079230, lowerbound=1305749.079230, norm of subgrad 1143.216112 dualbound = 3730451.079230, lowerbound=1305749.079230, norm of subgrad 35.496744 stepsize= 1.000000
+dualbound = 3730497.376681, lowerbound=1303575.376681, norm of subgrad 1142.306604 dualbound = 3730497.376681, lowerbound=1303575.376681, norm of subgrad 36.541722 stepsize= 1.000000
+dualbound = 3730571.882923, lowerbound=1301188.882923, norm of subgrad 1141.246635 dualbound = 3730571.882923, lowerbound=1301188.882923, norm of subgrad 36.462395 stepsize= 1.000000
+dualbound = 3730627.608416, lowerbound=1304408.608416, norm of subgrad 1142.634941 dualbound = 3730627.608416, lowerbound=1304408.608416, norm of subgrad 35.520776 stepsize= 1.000000
+dualbound = 3730710.874190, lowerbound=1305902.874190, norm of subgrad 1143.288185 dualbound = 3730710.874190, lowerbound=1305902.874190, norm of subgrad 35.892419 stepsize= 1.000000
+dualbound = 3730748.213744, lowerbound=1302777.213744, norm of subgrad 1141.920844 dualbound = 3730748.213744, lowerbound=1302777.213744, norm of subgrad 35.261020 stepsize= 1.000000
+dualbound = 3730838.431025, lowerbound=1307787.431025, norm of subgrad 1144.119937 dualbound = 3730838.431025, lowerbound=1307787.431025, norm of subgrad 36.238340 stepsize= 1.000000
+dualbound = 3730876.511050, lowerbound=1305447.511050, norm of subgrad 1143.091646 dualbound = 3730876.511050, lowerbound=1305447.511050, norm of subgrad 35.342326 stepsize= 1.000000
+dualbound = 3730956.785690, lowerbound=1305089.785690, norm of subgrad 1142.901039 dualbound = 3730956.785690, lowerbound=1305089.785690, norm of subgrad 34.832092 stepsize= 1.000000
+dualbound = 3731031.640117, lowerbound=1305874.640117, norm of subgrad 1143.259656 dualbound = 3731031.640117, lowerbound=1305874.640117, norm of subgrad 35.254141 stepsize= 1.000000
+dualbound = 3731091.026945, lowerbound=1301385.026945, norm of subgrad 1141.318986 dualbound = 3731091.026945, lowerbound=1301385.026945, norm of subgrad 35.824389 stepsize= 1.000000
+dualbound = 3731124.096689, lowerbound=1301770.096689, norm of subgrad 1141.492486 dualbound = 3731124.096689, lowerbound=1301770.096689, norm of subgrad 35.609967 stepsize= 1.000000
+dualbound = 3731201.838063, lowerbound=1304550.838063, norm of subgrad 1142.673111 dualbound = 3731201.838063, lowerbound=1304550.838063, norm of subgrad 35.053407 stepsize= 1.000000
+dualbound = 3731282.923899, lowerbound=1301871.923899, norm of subgrad 1141.513436 dualbound = 3731282.923899, lowerbound=1301871.923899, norm of subgrad 35.525847 stepsize= 1.000000
+dualbound = 3731318.614228, lowerbound=1298681.614228, norm of subgrad 1140.119123 dualbound = 3731318.614228, lowerbound=1298681.614228, norm of subgrad 35.009860 stepsize= 1.000000
+dualbound = 3731403.235327, lowerbound=1302303.235327, norm of subgrad 1141.709786 dualbound = 3731403.235327, lowerbound=1302303.235327, norm of subgrad 35.813700 stepsize= 1.000000
+dualbound = 3731447.459772, lowerbound=1303647.459772, norm of subgrad 1142.278626 dualbound = 3731447.459772, lowerbound=1303647.459772, norm of subgrad 34.600931 stepsize= 1.000000
+dualbound = 3731516.385016, lowerbound=1304485.385016, norm of subgrad 1142.665911 dualbound = 3731516.385016, lowerbound=1304485.385016, norm of subgrad 35.621977 stepsize= 1.000000
+dualbound = 3731582.809446, lowerbound=1306889.809446, norm of subgrad 1143.718851 dualbound = 3731582.809446, lowerbound=1306889.809446, norm of subgrad 35.628983 stepsize= 1.000000
+dualbound = 3731627.617362, lowerbound=1302906.617362, norm of subgrad 1141.991952 dualbound = 3731627.617362, lowerbound=1302906.617362, norm of subgrad 35.830265 stepsize= 1.000000
+dualbound = 3731680.878964, lowerbound=1305683.878964, norm of subgrad 1143.214275 dualbound = 3731680.878964, lowerbound=1305683.878964, norm of subgrad 36.169899 stepsize= 1.000000
+dualbound = 3731721.206919, lowerbound=1305282.206919, norm of subgrad 1143.016276 dualbound = 3731721.206919, lowerbound=1305282.206919, norm of subgrad 35.275033 stepsize= 1.000000
+dualbound = 3731834.106094, lowerbound=1300577.106094, norm of subgrad 1140.940448 dualbound = 3731834.106094, lowerbound=1300577.106094, norm of subgrad 35.789652 stepsize= 1.000000
+dualbound = 3731867.914626, lowerbound=1304841.914626, norm of subgrad 1142.782532 dualbound = 3731867.914626, lowerbound=1304841.914626, norm of subgrad 33.820238 stepsize= 1.000000
+dualbound = 3731968.876301, lowerbound=1303844.876301, norm of subgrad 1142.370289 dualbound = 3731968.876301, lowerbound=1303844.876301, norm of subgrad 35.580355 stepsize= 1.000000
+dualbound = 3731989.049360, lowerbound=1303884.049360, norm of subgrad 1142.427700 dualbound = 3731989.049360, lowerbound=1303884.049360, norm of subgrad 35.737558 stepsize= 1.000000
+dualbound = 3732043.535664, lowerbound=1303207.535664, norm of subgrad 1142.114940 dualbound = 3732043.535664, lowerbound=1303207.535664, norm of subgrad 35.685940 stepsize= 1.000000
+dualbound = 3732135.522951, lowerbound=1307937.522951, norm of subgrad 1144.167174 dualbound = 3732135.522951, lowerbound=1307937.522951, norm of subgrad 35.678947 stepsize= 1.000000
+dualbound = 3732204.955546, lowerbound=1310837.955546, norm of subgrad 1145.436579 dualbound = 3732204.955546, lowerbound=1310837.955546, norm of subgrad 35.446193 stepsize= 1.000000
+dualbound = 3732231.855691, lowerbound=1300366.855691, norm of subgrad 1140.864083 dualbound = 3732231.855691, lowerbound=1300366.855691, norm of subgrad 35.084187 stepsize= 1.000000
+dualbound = 3732321.639441, lowerbound=1302831.639441, norm of subgrad 1141.940296 dualbound = 3732321.639441, lowerbound=1302831.639441, norm of subgrad 35.857827 stepsize= 1.000000
+dualbound = 3732371.731039, lowerbound=1303223.731039, norm of subgrad 1142.093574 dualbound = 3732371.731039, lowerbound=1303223.731039, norm of subgrad 34.700023 stepsize= 1.000000
+dualbound = 3732443.668619, lowerbound=1308315.668619, norm of subgrad 1144.339840 dualbound = 3732443.668619, lowerbound=1308315.668619, norm of subgrad 35.636184 stepsize= 1.000000
+dualbound = 3732496.161657, lowerbound=1307048.161657, norm of subgrad 1143.779333 dualbound = 3732496.161657, lowerbound=1307048.161657, norm of subgrad 35.149581 stepsize= 1.000000
+dualbound = 3732571.089650, lowerbound=1306453.089650, norm of subgrad 1143.544092 dualbound = 3732571.089650, lowerbound=1306453.089650, norm of subgrad 36.261936 stepsize= 1.000000
+dualbound = 3732604.864567, lowerbound=1304461.864567, norm of subgrad 1142.636366 dualbound = 3732604.864567, lowerbound=1304461.864567, norm of subgrad 34.493114 stepsize= 1.000000
+dualbound = 3732684.672994, lowerbound=1301165.672994, norm of subgrad 1141.208427 dualbound = 3732684.672994, lowerbound=1301165.672994, norm of subgrad 35.648400 stepsize= 1.000000
+dualbound = 3732727.539814, lowerbound=1306180.539814, norm of subgrad 1143.403490 dualbound = 3732727.539814, lowerbound=1306180.539814, norm of subgrad 35.126440 stepsize= 1.000000
+dualbound = 3732807.496370, lowerbound=1309494.496370, norm of subgrad 1144.841691 dualbound = 3732807.496370, lowerbound=1309494.496370, norm of subgrad 35.326429 stepsize= 1.000000
+dualbound = 3732869.721346, lowerbound=1302242.721346, norm of subgrad 1141.685912 dualbound = 3732869.721346, lowerbound=1302242.721346, norm of subgrad 35.584055 stepsize= 1.000000
+dualbound = 3732929.519635, lowerbound=1311144.519635, norm of subgrad 1145.563407 dualbound = 3732929.519635, lowerbound=1311144.519635, norm of subgrad 35.082735 stepsize= 1.000000
+dualbound = 3732984.352161, lowerbound=1305163.352161, norm of subgrad 1142.968658 dualbound = 3732984.352161, lowerbound=1305163.352161, norm of subgrad 35.620676 stepsize= 1.000000
+dualbound = 3733037.005602, lowerbound=1303642.005602, norm of subgrad 1142.339269 dualbound = 3733037.005602, lowerbound=1303642.005602, norm of subgrad 36.737630 stepsize= 1.000000
+dualbound = 3733094.222107, lowerbound=1303459.222107, norm of subgrad 1142.237813 dualbound = 3733094.222107, lowerbound=1303459.222107, norm of subgrad 36.127780 stepsize= 1.000000
+dualbound = 3733157.975465, lowerbound=1303472.975465, norm of subgrad 1142.260905 dualbound = 3733157.975465, lowerbound=1303472.975465, norm of subgrad 36.752597 stepsize= 1.000000
+dualbound = 3733201.677209, lowerbound=1304113.677209, norm of subgrad 1142.509377 dualbound = 3733201.677209, lowerbound=1304113.677209, norm of subgrad 35.464091 stepsize= 1.000000
+dualbound = 3733308.789535, lowerbound=1311293.789535, norm of subgrad 1145.635540 dualbound = 3733308.789535, lowerbound=1311293.789535, norm of subgrad 35.973773 stepsize= 1.000000
+dualbound = 3733340.972149, lowerbound=1302398.972149, norm of subgrad 1141.749523 dualbound = 3733340.972149, lowerbound=1302398.972149, norm of subgrad 35.002609 stepsize= 1.000000
+dualbound = 3733420.797337, lowerbound=1304982.797337, norm of subgrad 1142.872170 dualbound = 3733420.797337, lowerbound=1304982.797337, norm of subgrad 35.409394 stepsize= 1.000000
+dualbound = 3733472.716681, lowerbound=1301640.716681, norm of subgrad 1141.414787 dualbound = 3733472.716681, lowerbound=1301640.716681, norm of subgrad 35.198286 stepsize= 1.000000
+dualbound = 3733558.148344, lowerbound=1308346.148344, norm of subgrad 1144.344856 dualbound = 3733558.148344, lowerbound=1308346.148344, norm of subgrad 35.558848 stepsize= 1.000000
+dualbound = 3733571.552704, lowerbound=1299644.552704, norm of subgrad 1140.545726 dualbound = 3733571.552704, lowerbound=1299644.552704, norm of subgrad 34.833954 stepsize= 1.000000
+dualbound = 3733651.647780, lowerbound=1306149.647780, norm of subgrad 1143.400913 dualbound = 3733651.647780, lowerbound=1306149.647780, norm of subgrad 36.001320 stepsize= 1.000000
+dualbound = 3733688.940199, lowerbound=1302891.940199, norm of subgrad 1141.968888 dualbound = 3733688.940199, lowerbound=1302891.940199, norm of subgrad 35.189379 stepsize= 1.000000
+dualbound = 3733787.378045, lowerbound=1306062.378045, norm of subgrad 1143.340447 dualbound = 3733787.378045, lowerbound=1306062.378045, norm of subgrad 35.544871 stepsize= 1.000000
+dualbound = 3733849.517169, lowerbound=1303947.517169, norm of subgrad 1142.416088 dualbound = 3733849.517169, lowerbound=1303947.517169, norm of subgrad 35.059080 stepsize= 1.000000
+dualbound = 3733919.245329, lowerbound=1307177.245329, norm of subgrad 1143.812155 dualbound = 3733919.245329, lowerbound=1307177.245329, norm of subgrad 34.622654 stepsize= 1.000000
+dualbound = 3733968.118662, lowerbound=1304185.118662, norm of subgrad 1142.511759 dualbound = 3733968.118662, lowerbound=1304185.118662, norm of subgrad 34.595857 stepsize= 1.000000
+dualbound = 3734024.710152, lowerbound=1308484.710152, norm of subgrad 1144.436853 dualbound = 3734024.710152, lowerbound=1308484.710152, norm of subgrad 36.160635 stepsize= 1.000000
+dualbound = 3734054.805416, lowerbound=1304293.805416, norm of subgrad 1142.606146 dualbound = 3734054.805416, lowerbound=1304293.805416, norm of subgrad 35.848225 stepsize= 1.000000
+dualbound = 3734131.714867, lowerbound=1311615.714867, norm of subgrad 1145.793051 dualbound = 3734131.714867, lowerbound=1311615.714867, norm of subgrad 36.095837 stepsize= 1.000000
+dualbound = 3734198.121593, lowerbound=1303993.121593, norm of subgrad 1142.446551 dualbound = 3734198.121593, lowerbound=1303993.121593, norm of subgrad 35.459931 stepsize= 1.000000
+dualbound = 3734278.085018, lowerbound=1306714.085018, norm of subgrad 1143.627599 dualbound = 3734278.085018, lowerbound=1306714.085018, norm of subgrad 35.354822 stepsize= 1.000000
+dualbound = 3734302.340404, lowerbound=1303916.340404, norm of subgrad 1142.413822 dualbound = 3734302.340404, lowerbound=1303916.340404, norm of subgrad 34.889187 stepsize= 1.000000
+dualbound = 3734366.358922, lowerbound=1303975.358922, norm of subgrad 1142.446217 dualbound = 3734366.358922, lowerbound=1303975.358922, norm of subgrad 35.665369 stepsize= 1.000000
+dualbound = 3734426.766624, lowerbound=1307208.766624, norm of subgrad 1143.862652 dualbound = 3734426.766624, lowerbound=1307208.766624, norm of subgrad 35.684839 stepsize= 1.000000
+dualbound = 3734478.008218, lowerbound=1302239.008218, norm of subgrad 1141.705307 dualbound = 3734478.008218, lowerbound=1302239.008218, norm of subgrad 36.100438 stepsize= 1.000000
+dualbound = 3734552.549665, lowerbound=1312460.549665, norm of subgrad 1146.145519 dualbound = 3734552.549665, lowerbound=1312460.549665, norm of subgrad 35.546328 stepsize= 1.000000
+dualbound = 3734621.819521, lowerbound=1304784.819521, norm of subgrad 1142.778552 dualbound = 3734621.819521, lowerbound=1304784.819521, norm of subgrad 35.032412 stepsize= 1.000000
+dualbound = 3734690.427955, lowerbound=1303418.427955, norm of subgrad 1142.192378 dualbound = 3734690.427955, lowerbound=1303418.427955, norm of subgrad 35.406333 stepsize= 1.000000
+dualbound = 3734727.771704, lowerbound=1304840.771704, norm of subgrad 1142.821408 dualbound = 3734727.771704, lowerbound=1304840.771704, norm of subgrad 35.175897 stepsize= 1.000000
+dualbound = 3734783.489153, lowerbound=1304851.489153, norm of subgrad 1142.819535 dualbound = 3734783.489153, lowerbound=1304851.489153, norm of subgrad 35.223819 stepsize= 1.000000
+dualbound = 3734858.799162, lowerbound=1304749.799162, norm of subgrad 1142.774606 dualbound = 3734858.799162, lowerbound=1304749.799162, norm of subgrad 35.486758 stepsize= 1.000000
+dualbound = 3734926.614577, lowerbound=1300676.614577, norm of subgrad 1140.990629 dualbound = 3734926.614577, lowerbound=1300676.614577, norm of subgrad 35.366869 stepsize= 1.000000
+dualbound = 3734962.764240, lowerbound=1310649.764240, norm of subgrad 1145.360539 dualbound = 3734962.764240, lowerbound=1310649.764240, norm of subgrad 35.173138 stepsize= 1.000000
+dualbound = 3735054.550719, lowerbound=1302075.550719, norm of subgrad 1141.581163 dualbound = 3735054.550719, lowerbound=1302075.550719, norm of subgrad 34.982660 stepsize= 1.000000
+dualbound = 3735112.574930, lowerbound=1306229.574930, norm of subgrad 1143.403942 dualbound = 3735112.574930, lowerbound=1306229.574930, norm of subgrad 34.655796 stepsize= 1.000000
+dualbound = 3735181.804660, lowerbound=1302039.804660, norm of subgrad 1141.596603 dualbound = 3735181.804660, lowerbound=1302039.804660, norm of subgrad 35.668330 stepsize= 1.000000
+dualbound = 3735183.715484, lowerbound=1310381.715484, norm of subgrad 1145.305512 dualbound = 3735183.715484, lowerbound=1310381.715484, norm of subgrad 36.673026 stepsize= 1.000000
+dualbound = 3735248.271101, lowerbound=1300162.271101, norm of subgrad 1140.789319 dualbound = 3735248.271101, lowerbound=1300162.271101, norm of subgrad 36.090935 stepsize= 1.000000
+dualbound = 3735317.744455, lowerbound=1306242.744455, norm of subgrad 1143.423257 dualbound = 3735317.744455, lowerbound=1306242.744455, norm of subgrad 35.262918 stepsize= 1.000000
+dualbound = 3735403.159614, lowerbound=1306197.159614, norm of subgrad 1143.416879 dualbound = 3735403.159614, lowerbound=1306197.159614, norm of subgrad 35.922349 stepsize= 1.000000
+dualbound = 3735444.386561, lowerbound=1308131.386561, norm of subgrad 1144.265872 dualbound = 3735444.386561, lowerbound=1308131.386561, norm of subgrad 35.415067 stepsize= 1.000000
+dualbound = 3735500.110711, lowerbound=1302033.110711, norm of subgrad 1141.619512 dualbound = 3735500.110711, lowerbound=1302033.110711, norm of subgrad 36.300470 stepsize= 1.000000
+dualbound = 3735552.261365, lowerbound=1308897.261365, norm of subgrad 1144.577766 dualbound = 3735552.261365, lowerbound=1308897.261365, norm of subgrad 34.830312 stepsize= 1.000000
+dualbound = 3735664.968806, lowerbound=1299480.968806, norm of subgrad 1140.454282 dualbound = 3735664.968806, lowerbound=1299480.968806, norm of subgrad 35.604879 stepsize= 1.000000
+dualbound = 3735680.325885, lowerbound=1308838.325885, norm of subgrad 1144.570367 dualbound = 3735680.325885, lowerbound=1308838.325885, norm of subgrad 34.904972 stepsize= 1.000000
+dualbound = 3735775.467244, lowerbound=1307399.467244, norm of subgrad 1143.922841 dualbound = 3735775.467244, lowerbound=1307399.467244, norm of subgrad 35.427974 stepsize= 1.000000
+dualbound = 3735827.079165, lowerbound=1301117.079165, norm of subgrad 1141.177935 dualbound = 3735827.079165, lowerbound=1301117.079165, norm of subgrad 34.951565 stepsize= 1.000000
+dualbound = 3735887.818608, lowerbound=1305350.818608, norm of subgrad 1143.037540 dualbound = 3735887.818608, lowerbound=1305350.818608, norm of subgrad 35.280865 stepsize= 1.000000
+dualbound = 3735939.859666, lowerbound=1308340.859666, norm of subgrad 1144.340797 dualbound = 3735939.859666, lowerbound=1308340.859666, norm of subgrad 35.029146 stepsize= 1.000000
+dualbound = 3736012.921622, lowerbound=1305225.921622, norm of subgrad 1142.986405 dualbound = 3736012.921622, lowerbound=1305225.921622, norm of subgrad 35.567709 stepsize= 1.000000
+dualbound = 3736056.542931, lowerbound=1304936.542931, norm of subgrad 1142.845809 dualbound = 3736056.542931, lowerbound=1304936.542931, norm of subgrad 34.693246 stepsize= 1.000000
+dualbound = 3736149.552436, lowerbound=1307241.552436, norm of subgrad 1143.852505 dualbound = 3736149.552436, lowerbound=1307241.552436, norm of subgrad 35.355473 stepsize= 1.000000
+dualbound = 3736173.475939, lowerbound=1302272.475939, norm of subgrad 1141.689746 dualbound = 3736173.475939, lowerbound=1302272.475939, norm of subgrad 34.740805 stepsize= 1.000000
+dualbound = 3736254.326206, lowerbound=1308222.326206, norm of subgrad 1144.263661 dualbound = 3736254.326206, lowerbound=1308222.326206, norm of subgrad 34.609974 stepsize= 1.000000
+dualbound = 3736330.657261, lowerbound=1301764.657261, norm of subgrad 1141.448491 dualbound = 3736330.657261, lowerbound=1301764.657261, norm of subgrad 34.875938 stepsize= 1.000000
+dualbound = 3736365.476666, lowerbound=1303175.476666, norm of subgrad 1142.076826 dualbound = 3736365.476666, lowerbound=1303175.476666, norm of subgrad 34.623972 stepsize= 1.000000
+dualbound = 3736408.747634, lowerbound=1301919.747634, norm of subgrad 1141.561539 dualbound = 3736408.747634, lowerbound=1301919.747634, norm of subgrad 35.864620 stepsize= 1.000000
+dualbound = 3736475.394659, lowerbound=1301828.394659, norm of subgrad 1141.510138 dualbound = 3736475.394659, lowerbound=1301828.394659, norm of subgrad 35.828020 stepsize= 1.000000
+dualbound = 3736537.413897, lowerbound=1304994.413897, norm of subgrad 1142.904377 dualbound = 3736537.413897, lowerbound=1304994.413897, norm of subgrad 36.028034 stepsize= 1.000000
+dualbound = 3736595.284267, lowerbound=1308406.284267, norm of subgrad 1144.372878 dualbound = 3736595.284267, lowerbound=1308406.284267, norm of subgrad 35.225990 stepsize= 1.000000
+dualbound = 3736666.515543, lowerbound=1303372.515543, norm of subgrad 1142.170528 dualbound = 3736666.515543, lowerbound=1303372.515543, norm of subgrad 35.386880 stepsize= 1.000000
+dualbound = 3736720.803776, lowerbound=1308802.803776, norm of subgrad 1144.565771 dualbound = 3736720.803776, lowerbound=1308802.803776, norm of subgrad 35.809052 stepsize= 1.000000
+dualbound = 3736763.090687, lowerbound=1305722.090687, norm of subgrad 1143.200372 dualbound = 3736763.090687, lowerbound=1305722.090687, norm of subgrad 35.032655 stepsize= 1.000000
+dualbound = 3736855.395890, lowerbound=1304172.395890, norm of subgrad 1142.537262 dualbound = 3736855.395890, lowerbound=1304172.395890, norm of subgrad 36.211948 stepsize= 1.000000
+dualbound = 3736888.150363, lowerbound=1302837.150363, norm of subgrad 1141.962850 dualbound = 3736888.150363, lowerbound=1302837.150363, norm of subgrad 35.703704 stepsize= 1.000000
+dualbound = 3736937.003643, lowerbound=1308812.003643, norm of subgrad 1144.577216 dualbound = 3736937.003643, lowerbound=1308812.003643, norm of subgrad 35.970172 stepsize= 1.000000
+dualbound = 3737029.932264, lowerbound=1300317.932264, norm of subgrad 1140.837820 dualbound = 3737029.932264, lowerbound=1300317.932264, norm of subgrad 35.859847 stepsize= 1.000000
+dualbound = 3737089.860448, lowerbound=1311932.860448, norm of subgrad 1145.899586 dualbound = 3737089.860448, lowerbound=1311932.860448, norm of subgrad 34.827119 stepsize= 1.000000
+dualbound = 3737149.307882, lowerbound=1303122.307882, norm of subgrad 1142.065807 dualbound = 3737149.307882, lowerbound=1303122.307882, norm of subgrad 35.375803 stepsize= 1.000000
+dualbound = 3737204.851211, lowerbound=1306891.851211, norm of subgrad 1143.695262 dualbound = 3737204.851211, lowerbound=1306891.851211, norm of subgrad 34.677707 stepsize= 1.000000
+dualbound = 3737262.633166, lowerbound=1303324.633166, norm of subgrad 1142.135120 dualbound = 3737262.633166, lowerbound=1303324.633166, norm of subgrad 34.724371 stepsize= 1.000000
+dualbound = 3737331.174241, lowerbound=1305283.174241, norm of subgrad 1142.990890 dualbound = 3737331.174241, lowerbound=1305283.174241, norm of subgrad 34.835916 stepsize= 1.000000
+dualbound = 3737381.997095, lowerbound=1307667.997095, norm of subgrad 1144.046326 dualbound = 3737381.997095, lowerbound=1307667.997095, norm of subgrad 34.997469 stepsize= 1.000000
+dualbound = 3737441.153251, lowerbound=1303457.153251, norm of subgrad 1142.213270 dualbound = 3737441.153251, lowerbound=1303457.153251, norm of subgrad 35.399946 stepsize= 1.000000
+dualbound = 3737472.887300, lowerbound=1305024.887300, norm of subgrad 1142.917271 dualbound = 3737472.887300, lowerbound=1305024.887300, norm of subgrad 35.591207 stepsize= 1.000000
+dualbound = 3737570.659484, lowerbound=1305258.659484, norm of subgrad 1142.993289 dualbound = 3737570.659484, lowerbound=1305258.659484, norm of subgrad 35.675933 stepsize= 1.000000
+dualbound = 3737601.714861, lowerbound=1302762.714861, norm of subgrad 1141.917998 dualbound = 3737601.714861, lowerbound=1302762.714861, norm of subgrad 35.285342 stepsize= 1.000000
+dualbound = 3737677.013426, lowerbound=1299663.013426, norm of subgrad 1140.557764 dualbound = 3737677.013426, lowerbound=1299663.013426, norm of subgrad 35.837112 stepsize= 1.000000
+dualbound = 3737744.745614, lowerbound=1308111.745614, norm of subgrad 1144.240248 dualbound = 3737744.745614, lowerbound=1308111.745614, norm of subgrad 35.238221 stepsize= 1.000000
+dualbound = 3737836.421664, lowerbound=1305949.421664, norm of subgrad 1143.285363 dualbound = 3737836.421664, lowerbound=1305949.421664, norm of subgrad 35.265791 stepsize= 1.000000
+dualbound = 3737868.398143, lowerbound=1301634.398143, norm of subgrad 1141.422095 dualbound = 3737868.398143, lowerbound=1301634.398143, norm of subgrad 35.241687 stepsize= 1.000000
+dualbound = 3737910.714132, lowerbound=1312967.714132, norm of subgrad 1146.385936 dualbound = 3737910.714132, lowerbound=1312967.714132, norm of subgrad 35.711567 stepsize= 1.000000
+dualbound = 3737968.269131, lowerbound=1300873.269131, norm of subgrad 1141.145157 dualbound = 3737968.269131, lowerbound=1300873.269131, norm of subgrad 37.370510 stepsize= 1.000000
+dualbound = 3738020.333746, lowerbound=1307000.333746, norm of subgrad 1143.770228 dualbound = 3738020.333746, lowerbound=1307000.333746, norm of subgrad 35.525549 stepsize= 1.000000
+dualbound = 3738099.822012, lowerbound=1308183.822012, norm of subgrad 1144.283541 dualbound = 3738099.822012, lowerbound=1308183.822012, norm of subgrad 35.783911 stepsize= 1.000000
+dualbound = 3738156.351699, lowerbound=1294297.351699, norm of subgrad 1138.233435 dualbound = 3738156.351699, lowerbound=1294297.351699, norm of subgrad 36.531215 stepsize= 1.000000
+dualbound = 3738217.893756, lowerbound=1302881.893756, norm of subgrad 1141.974559 dualbound = 3738217.893756, lowerbound=1302881.893756, norm of subgrad 35.854457 stepsize= 1.000000
+dualbound = 3738285.704491, lowerbound=1305962.704491, norm of subgrad 1143.315225 dualbound = 3738285.704491, lowerbound=1305962.704491, norm of subgrad 35.704492 stepsize= 1.000000
+dualbound = 3738356.840632, lowerbound=1310303.840632, norm of subgrad 1145.230475 dualbound = 3738356.840632, lowerbound=1310303.840632, norm of subgrad 36.333678 stepsize= 1.000000
+dualbound = 3738395.433033, lowerbound=1300257.433033, norm of subgrad 1140.833657 dualbound = 3738395.433033, lowerbound=1300257.433033, norm of subgrad 35.813299 stepsize= 1.000000
+dualbound = 3738472.369814, lowerbound=1311379.369814, norm of subgrad 1145.686855 dualbound = 3738472.369814, lowerbound=1311379.369814, norm of subgrad 35.999122 stepsize= 1.000000
+dualbound = 3738541.577751, lowerbound=1299318.577751, norm of subgrad 1140.418159 dualbound = 3738541.577751, lowerbound=1299318.577751, norm of subgrad 36.113819 stepsize= 1.000000
+dualbound = 3738594.724873, lowerbound=1307136.724873, norm of subgrad 1143.822856 dualbound = 3738594.724873, lowerbound=1307136.724873, norm of subgrad 35.314970 stepsize= 1.000000
+dualbound = 3738651.979518, lowerbound=1300776.979518, norm of subgrad 1141.060463 dualbound = 3738651.979518, lowerbound=1300776.979518, norm of subgrad 36.045175 stepsize= 1.000000
+dualbound = 3738717.239219, lowerbound=1306328.239219, norm of subgrad 1143.454957 dualbound = 3738717.239219, lowerbound=1306328.239219, norm of subgrad 35.017991 stepsize= 1.000000
+dualbound = 3738786.518008, lowerbound=1306837.518008, norm of subgrad 1143.687247 dualbound = 3738786.518008, lowerbound=1306837.518008, norm of subgrad 35.387551 stepsize= 1.000000
+dualbound = 3738846.843539, lowerbound=1303487.843539, norm of subgrad 1142.217511 dualbound = 3738846.843539, lowerbound=1303487.843539, norm of subgrad 35.118735 stepsize= 1.000000
+dualbound = 3738892.225986, lowerbound=1307060.225986, norm of subgrad 1143.792475 dualbound = 3738892.225986, lowerbound=1307060.225986, norm of subgrad 35.304142 stepsize= 1.000000
+dualbound = 3738973.384920, lowerbound=1307411.384920, norm of subgrad 1143.892646 dualbound = 3738973.384920, lowerbound=1307411.384920, norm of subgrad 34.061106 stepsize= 1.000000
+dualbound = 3739063.830546, lowerbound=1304910.830546, norm of subgrad 1142.836310 dualbound = 3739063.830546, lowerbound=1304910.830546, norm of subgrad 35.418154 stepsize= 1.000000
+dualbound = 3739071.159232, lowerbound=1308014.159232, norm of subgrad 1144.228194 dualbound = 3739071.159232, lowerbound=1308014.159232, norm of subgrad 35.374125 stepsize= 1.000000
+dualbound = 3739134.262778, lowerbound=1306168.262778, norm of subgrad 1143.383690 dualbound = 3739134.262778, lowerbound=1306168.262778, norm of subgrad 34.944292 stepsize= 1.000000
+dualbound = 3739206.725836, lowerbound=1310072.725836, norm of subgrad 1145.111229 dualbound = 3739206.725836, lowerbound=1310072.725836, norm of subgrad 35.769583 stepsize= 1.000000
+dualbound = 3739259.698196, lowerbound=1303425.698196, norm of subgrad 1142.180677 dualbound = 3739259.698196, lowerbound=1303425.698196, norm of subgrad 34.698305 stepsize= 1.000000
+dualbound = 3739326.388956, lowerbound=1303282.388956, norm of subgrad 1142.135889 dualbound = 3739326.388956, lowerbound=1303282.388956, norm of subgrad 35.478032 stepsize= 1.000000
+dualbound = 3739373.191152, lowerbound=1301845.191152, norm of subgrad 1141.489900 dualbound = 3739373.191152, lowerbound=1301845.191152, norm of subgrad 34.652593 stepsize= 1.000000
+dualbound = 3739442.523438, lowerbound=1306155.523438, norm of subgrad 1143.387740 dualbound = 3739442.523438, lowerbound=1306155.523438, norm of subgrad 35.345895 stepsize= 1.000000
+dualbound = 3739500.013704, lowerbound=1302414.013704, norm of subgrad 1141.753044 dualbound = 3739500.013704, lowerbound=1302414.013704, norm of subgrad 35.263157 stepsize= 1.000000
+dualbound = 3739548.952853, lowerbound=1311568.952853, norm of subgrad 1145.796646 dualbound = 3739548.952853, lowerbound=1311568.952853, norm of subgrad 36.468331 stepsize= 1.000000
+dualbound = 3739594.299540, lowerbound=1300858.299540, norm of subgrad 1141.065423 dualbound = 3739594.299540, lowerbound=1300858.299540, norm of subgrad 34.890496 stepsize= 1.000000
+dualbound = 3739682.152523, lowerbound=1311939.152523, norm of subgrad 1145.911058 dualbound = 3739682.152523, lowerbound=1311939.152523, norm of subgrad 35.508492 stepsize= 1.000000
+dualbound = 3739755.126983, lowerbound=1299363.126983, norm of subgrad 1140.418838 dualbound = 3739755.126983, lowerbound=1299363.126983, norm of subgrad 35.566479 stepsize= 1.000000
+dualbound = 3739786.254516, lowerbound=1309568.254516, norm of subgrad 1144.921069 dualbound = 3739786.254516, lowerbound=1309568.254516, norm of subgrad 36.154219 stepsize= 1.000000
+dualbound = 3739837.150015, lowerbound=1305205.150015, norm of subgrad 1142.989129 dualbound = 3739837.150015, lowerbound=1305205.150015, norm of subgrad 35.635593 stepsize= 1.000000
+dualbound = 3739913.802937, lowerbound=1306045.802937, norm of subgrad 1143.322266 dualbound = 3739913.802937, lowerbound=1306045.802937, norm of subgrad 34.880552 stepsize= 1.000000
+dualbound = 3739999.323565, lowerbound=1305744.323565, norm of subgrad 1143.196975 dualbound = 3739999.323565, lowerbound=1305744.323565, norm of subgrad 35.221025 stepsize= 1.000000
+dualbound = 3740028.048516, lowerbound=1307757.048516, norm of subgrad 1144.097919 dualbound = 3740028.048516, lowerbound=1307757.048516, norm of subgrad 35.095939 stepsize= 1.000000
+dualbound = 3740083.435337, lowerbound=1302034.435337, norm of subgrad 1141.562278 dualbound = 3740083.435337, lowerbound=1302034.435337, norm of subgrad 34.429447 stepsize= 1.000000
+dualbound = 3740168.686987, lowerbound=1306809.686987, norm of subgrad 1143.661964 dualbound = 3740168.686987, lowerbound=1306809.686987, norm of subgrad 35.188800 stepsize= 1.000000
+dualbound = 3740224.852482, lowerbound=1307929.852482, norm of subgrad 1144.169066 dualbound = 3740224.852482, lowerbound=1307929.852482, norm of subgrad 35.343535 stepsize= 1.000000
+dualbound = 3740277.434799, lowerbound=1303893.434799, norm of subgrad 1142.419991 dualbound = 3740277.434799, lowerbound=1303893.434799, norm of subgrad 35.813158 stepsize= 1.000000
+dualbound = 3740321.393639, lowerbound=1304556.393639, norm of subgrad 1142.711859 dualbound = 3740321.393639, lowerbound=1304556.393639, norm of subgrad 35.748550 stepsize= 1.000000
+dualbound = 3740408.276971, lowerbound=1309199.276971, norm of subgrad 1144.686104 dualbound = 3740408.276971, lowerbound=1309199.276971, norm of subgrad 34.552617 stepsize= 1.000000
+dualbound = 3740459.589682, lowerbound=1307523.589682, norm of subgrad 1143.987583 dualbound = 3740459.589682, lowerbound=1307523.589682, norm of subgrad 35.147016 stepsize= 1.000000
+dualbound = 3740503.593991, lowerbound=1305018.593991, norm of subgrad 1142.900518 dualbound = 3740503.593991, lowerbound=1305018.593991, norm of subgrad 35.312948 stepsize= 1.000000
+dualbound = 3740586.214866, lowerbound=1304570.214866, norm of subgrad 1142.710031 dualbound = 3740586.214866, lowerbound=1304570.214866, norm of subgrad 36.036383 stepsize= 1.000000
+dualbound = 3740612.237357, lowerbound=1305514.237357, norm of subgrad 1143.169383 dualbound = 3740612.237357, lowerbound=1305514.237357, norm of subgrad 36.715426 stepsize= 1.000000
+dualbound = 3740678.985071, lowerbound=1308830.985071, norm of subgrad 1144.582450 dualbound = 3740678.985071, lowerbound=1308830.985071, norm of subgrad 36.121292 stepsize= 1.000000
+dualbound = 3740751.962777, lowerbound=1305728.962777, norm of subgrad 1143.203815 dualbound = 3740751.962777, lowerbound=1305728.962777, norm of subgrad 35.482076 stepsize= 1.000000
+dualbound = 3740842.605630, lowerbound=1298592.605630, norm of subgrad 1140.073509 dualbound = 3740842.605630, lowerbound=1298592.605630, norm of subgrad 35.575875 stepsize= 1.000000
+dualbound = 3740903.571102, lowerbound=1303558.571102, norm of subgrad 1142.259853 dualbound = 3740903.571102, lowerbound=1303558.571102, norm of subgrad 35.495992 stepsize= 1.000000
+dualbound = 3740941.495172, lowerbound=1309187.495172, norm of subgrad 1144.713718 dualbound = 3740941.495172, lowerbound=1309187.495172, norm of subgrad 34.927411 stepsize= 1.000000
+dualbound = 3741010.936546, lowerbound=1308345.936546, norm of subgrad 1144.334714 dualbound = 3741010.936546, lowerbound=1308345.936546, norm of subgrad 35.006305 stepsize= 1.000000
+dualbound = 3741095.157953, lowerbound=1303710.157953, norm of subgrad 1142.282434 dualbound = 3741095.157953, lowerbound=1303710.157953, norm of subgrad 34.397986 stepsize= 1.000000
+dualbound = 3741147.656694, lowerbound=1309006.656694, norm of subgrad 1144.621622 dualbound = 3741147.656694, lowerbound=1309006.656694, norm of subgrad 34.705889 stepsize= 1.000000
+dualbound = 3741201.862693, lowerbound=1302120.862693, norm of subgrad 1141.611082 dualbound = 3741201.862693, lowerbound=1302120.862693, norm of subgrad 34.773639 stepsize= 1.000000
+dualbound = 3741251.792654, lowerbound=1307589.792654, norm of subgrad 1144.016518 dualbound = 3741251.792654, lowerbound=1307589.792654, norm of subgrad 35.127339 stepsize= 1.000000
+dualbound = 3741332.620094, lowerbound=1304044.620094, norm of subgrad 1142.447644 dualbound = 3741332.620094, lowerbound=1304044.620094, norm of subgrad 34.968950 stepsize= 1.000000
+dualbound = 3741381.085045, lowerbound=1305737.085045, norm of subgrad 1143.199495 dualbound = 3741381.085045, lowerbound=1305737.085045, norm of subgrad 34.877858 stepsize= 1.000000
+dualbound = 3741443.529558, lowerbound=1307388.529558, norm of subgrad 1143.927677 dualbound = 3741443.529558, lowerbound=1307388.529558, norm of subgrad 35.276685 stepsize= 1.000000
+dualbound = 3741513.479618, lowerbound=1305353.479618, norm of subgrad 1143.040454 dualbound = 3741513.479618, lowerbound=1305353.479618, norm of subgrad 35.467592 stepsize= 1.000000
+dualbound = 3741547.480980, lowerbound=1307176.480980, norm of subgrad 1143.852473 dualbound = 3741547.480980, lowerbound=1307176.480980, norm of subgrad 35.440110 stepsize= 1.000000
+dualbound = 3741617.020155, lowerbound=1306571.020155, norm of subgrad 1143.583849 dualbound = 3741617.020155, lowerbound=1306571.020155, norm of subgrad 35.812556 stepsize= 1.000000
+dualbound = 3741660.593655, lowerbound=1299610.593655, norm of subgrad 1140.519440 dualbound = 3741660.593655, lowerbound=1299610.593655, norm of subgrad 34.893746 stepsize= 1.000000
+dualbound = 3741746.215121, lowerbound=1301924.215121, norm of subgrad 1141.542034 dualbound = 3741746.215121, lowerbound=1301924.215121, norm of subgrad 35.771797 stepsize= 1.000000
+dualbound = 3741787.997886, lowerbound=1304308.997886, norm of subgrad 1142.587414 dualbound = 3741787.997886, lowerbound=1304308.997886, norm of subgrad 35.196346 stepsize= 1.000000
+dualbound = 3741832.668962, lowerbound=1309523.668962, norm of subgrad 1144.874958 dualbound = 3741832.668962, lowerbound=1309523.668962, norm of subgrad 35.491845 stepsize= 1.000000
+dualbound = 3741921.478520, lowerbound=1307873.478520, norm of subgrad 1144.152734 dualbound = 3741921.478520, lowerbound=1307873.478520, norm of subgrad 36.066738 stepsize= 1.000000
+dualbound = 3741959.329207, lowerbound=1304916.329207, norm of subgrad 1142.847028 dualbound = 3741959.329207, lowerbound=1304916.329207, norm of subgrad 34.940674 stepsize= 1.000000
+dualbound = 3742028.724467, lowerbound=1306603.724467, norm of subgrad 1143.561421 dualbound = 3742028.724467, lowerbound=1306603.724467, norm of subgrad 34.617846 stepsize= 1.000000
+dualbound = 3742115.483759, lowerbound=1306094.483759, norm of subgrad 1143.362796 dualbound = 3742115.483759, lowerbound=1306094.483759, norm of subgrad 35.647711 stepsize= 1.000000
+dualbound = 3742148.072156, lowerbound=1306577.072156, norm of subgrad 1143.559387 dualbound = 3742148.072156, lowerbound=1306577.072156, norm of subgrad 34.403320 stepsize= 1.000000
+dualbound = 3742195.986924, lowerbound=1305040.986924, norm of subgrad 1142.931313 dualbound = 3742195.986924, lowerbound=1305040.986924, norm of subgrad 36.040460 stepsize= 1.000000
+dualbound = 3742242.106479, lowerbound=1306716.106479, norm of subgrad 1143.629794 dualbound = 3742242.106479, lowerbound=1306716.106479, norm of subgrad 34.915893 stepsize= 1.000000
+dualbound = 3742325.144725, lowerbound=1307767.144725, norm of subgrad 1144.076984 dualbound = 3742325.144725, lowerbound=1307767.144725, norm of subgrad 35.043377 stepsize= 1.000000
+dualbound = 3742375.046730, lowerbound=1308263.046730, norm of subgrad 1144.319469 dualbound = 3742375.046730, lowerbound=1308263.046730, norm of subgrad 35.410479 stepsize= 1.000000
+dualbound = 3742445.948417, lowerbound=1303474.948417, norm of subgrad 1142.229814 dualbound = 3742445.948417, lowerbound=1303474.948417, norm of subgrad 35.845525 stepsize= 1.000000
+dualbound = 3742495.340821, lowerbound=1306377.340821, norm of subgrad 1143.497416 dualbound = 3742495.340821, lowerbound=1306377.340821, norm of subgrad 35.473827 stepsize= 1.000000
+dualbound = 3742577.154316, lowerbound=1303488.154316, norm of subgrad 1142.212395 dualbound = 3742577.154316, lowerbound=1303488.154316, norm of subgrad 35.253560 stepsize= 1.000000
+dualbound = 3742605.432042, lowerbound=1306598.432042, norm of subgrad 1143.599769 dualbound = 3742605.432042, lowerbound=1306598.432042, norm of subgrad 35.359266 stepsize= 1.000000
+dualbound = 3742695.628024, lowerbound=1304226.628024, norm of subgrad 1142.547429 dualbound = 3742695.628024, lowerbound=1304226.628024, norm of subgrad 35.751867 stepsize= 1.000000
+dualbound = 3742745.423314, lowerbound=1301769.423314, norm of subgrad 1141.492630 dualbound = 3742745.423314, lowerbound=1301769.423314, norm of subgrad 35.857988 stepsize= 1.000000
+dualbound = 3742810.391593, lowerbound=1305887.391593, norm of subgrad 1143.276166 dualbound = 3742810.391593, lowerbound=1305887.391593, norm of subgrad 35.467849 stepsize= 1.000000
+dualbound = 3742878.966683, lowerbound=1304668.966683, norm of subgrad 1142.723049 dualbound = 3742878.966683, lowerbound=1304668.966683, norm of subgrad 34.865098 stepsize= 1.000000
+dualbound = 3742936.673587, lowerbound=1304186.673587, norm of subgrad 1142.529069 dualbound = 3742936.673587, lowerbound=1304186.673587, norm of subgrad 35.266229 stepsize= 1.000000
+dualbound = 3742989.909847, lowerbound=1309884.909847, norm of subgrad 1144.998651 dualbound = 3742989.909847, lowerbound=1309884.909847, norm of subgrad 34.499801 stepsize= 1.000000
+dualbound = 3743066.368245, lowerbound=1306378.368245, norm of subgrad 1143.476002 dualbound = 3743066.368245, lowerbound=1306378.368245, norm of subgrad 35.149088 stepsize= 1.000000
+dualbound = 3743111.779990, lowerbound=1307152.779990, norm of subgrad 1143.850419 dualbound = 3743111.779990, lowerbound=1307152.779990, norm of subgrad 35.866583 stepsize= 1.000000
+dualbound = 3743160.661682, lowerbound=1308342.661682, norm of subgrad 1144.388335 dualbound = 3743160.661682, lowerbound=1308342.661682, norm of subgrad 36.481251 stepsize= 1.000000
+dualbound = 3743204.789922, lowerbound=1305607.789922, norm of subgrad 1143.188869 dualbound = 3743204.789922, lowerbound=1305607.789922, norm of subgrad 36.292261 stepsize= 1.000000
+dualbound = 3743273.779466, lowerbound=1302614.779466, norm of subgrad 1141.862417 dualbound = 3743273.779466, lowerbound=1302614.779466, norm of subgrad 36.110795 stepsize= 1.000000
+dualbound = 3743332.577294, lowerbound=1306938.577294, norm of subgrad 1143.740608 dualbound = 3743332.577294, lowerbound=1306938.577294, norm of subgrad 35.535867 stepsize= 1.000000
+dualbound = 3743404.406736, lowerbound=1307833.406736, norm of subgrad 1144.119053 dualbound = 3743404.406736, lowerbound=1307833.406736, norm of subgrad 35.310472 stepsize= 1.000000
+dualbound = 3743474.509553, lowerbound=1298010.509553, norm of subgrad 1139.812927 dualbound = 3743474.509553, lowerbound=1298010.509553, norm of subgrad 35.115564 stepsize= 1.000000
+dualbound = 3743512.030024, lowerbound=1315607.030024, norm of subgrad 1147.501647 dualbound = 3743512.030024, lowerbound=1315607.030024, norm of subgrad 34.503920 stepsize= 1.000000
+dualbound = 3743600.861371, lowerbound=1305490.861371, norm of subgrad 1143.094424 dualbound = 3743600.861371, lowerbound=1305490.861371, norm of subgrad 35.536338 stepsize= 1.000000
+dualbound = 3743626.036424, lowerbound=1309328.036424, norm of subgrad 1144.803492 dualbound = 3743626.036424, lowerbound=1309328.036424, norm of subgrad 35.667563 stepsize= 1.000000
+dualbound = 3743697.435470, lowerbound=1304647.435470, norm of subgrad 1142.744694 dualbound = 3743697.435470, lowerbound=1304647.435470, norm of subgrad 35.908203 stepsize= 1.000000
+dualbound = 3743758.600346, lowerbound=1306813.600346, norm of subgrad 1143.656679 dualbound = 3743758.600346, lowerbound=1306813.600346, norm of subgrad 34.614518 stepsize= 1.000000
+dualbound = 3743830.644246, lowerbound=1308764.644246, norm of subgrad 1144.556090 dualbound = 3743830.644246, lowerbound=1308764.644246, norm of subgrad 36.277319 stepsize= 1.000000
+dualbound = 3743863.649534, lowerbound=1304121.649534, norm of subgrad 1142.521181 dualbound = 3743863.649534, lowerbound=1304121.649534, norm of subgrad 35.580968 stepsize= 1.000000
+dualbound = 3743930.274304, lowerbound=1305020.274304, norm of subgrad 1142.916565 dualbound = 3743930.274304, lowerbound=1305020.274304, norm of subgrad 36.119590 stepsize= 1.000000
+dualbound = 3744000.331274, lowerbound=1306438.331274, norm of subgrad 1143.528457 dualbound = 3744000.331274, lowerbound=1306438.331274, norm of subgrad 35.903440 stepsize= 1.000000
+dualbound = 3744066.429826, lowerbound=1308430.429826, norm of subgrad 1144.362019 dualbound = 3744066.429826, lowerbound=1308430.429826, norm of subgrad 34.642439 stepsize= 1.000000
+dualbound = 3744143.954193, lowerbound=1307505.954193, norm of subgrad 1143.993424 dualbound = 3744143.954193, lowerbound=1307505.954193, norm of subgrad 35.951695 stepsize= 1.000000
+dualbound = 3744174.368211, lowerbound=1296785.368211, norm of subgrad 1139.303896 dualbound = 3744174.368211, lowerbound=1296785.368211, norm of subgrad 35.474132 stepsize= 1.000000
+dualbound = 3744243.164714, lowerbound=1305932.164714, norm of subgrad 1143.304493 dualbound = 3744243.164714, lowerbound=1305932.164714, norm of subgrad 35.802186 stepsize= 1.000000
+dualbound = 3744323.036484, lowerbound=1298682.036484, norm of subgrad 1140.110976 dualbound = 3744323.036484, lowerbound=1298682.036484, norm of subgrad 35.367666 stepsize= 1.000000
+dualbound = 3744375.394030, lowerbound=1308959.394030, norm of subgrad 1144.622381 dualbound = 3744375.394030, lowerbound=1308959.394030, norm of subgrad 35.402790 stepsize= 1.000000
+dualbound = 3744424.109866, lowerbound=1302238.109866, norm of subgrad 1141.691775 dualbound = 3744424.109866, lowerbound=1302238.109866, norm of subgrad 35.647101 stepsize= 1.000000
+dualbound = 3744490.033868, lowerbound=1307623.033868, norm of subgrad 1144.045468 dualbound = 3744490.033868, lowerbound=1307623.033868, norm of subgrad 35.817928 stepsize= 1.000000
+dualbound = 3744556.019452, lowerbound=1298461.019452, norm of subgrad 1140.018868 dualbound = 3744556.019452, lowerbound=1298461.019452, norm of subgrad 35.326839 stepsize= 1.000000
+dualbound = 3744620.613962, lowerbound=1307380.613962, norm of subgrad 1143.959621 dualbound = 3744620.613962, lowerbound=1307380.613962, norm of subgrad 36.436170 stepsize= 1.000000
+dualbound = 3744643.302566, lowerbound=1304578.302566, norm of subgrad 1142.716195 dualbound = 3744643.302566, lowerbound=1304578.302566, norm of subgrad 35.280145 stepsize= 1.000000
+dualbound = 3744744.961734, lowerbound=1310308.961734, norm of subgrad 1145.244062 dualbound = 3744744.961734, lowerbound=1310308.961734, norm of subgrad 37.103358 stepsize= 1.000000
+dualbound = 3744764.094100, lowerbound=1311163.094100, norm of subgrad 1145.600757 dualbound = 3744764.094100, lowerbound=1311163.094100, norm of subgrad 35.456062 stepsize= 1.000000
+dualbound = 3744873.467021, lowerbound=1303406.467021, norm of subgrad 1142.170069 dualbound = 3744873.467021, lowerbound=1303406.467021, norm of subgrad 35.431242 stepsize= 1.000000
+dualbound = 3744905.099245, lowerbound=1305592.099245, norm of subgrad 1143.164511 dualbound = 3744905.099245, lowerbound=1305592.099245, norm of subgrad 35.561668 stepsize= 1.000000
+dualbound = 3744978.729886, lowerbound=1303942.729886, norm of subgrad 1142.420120 dualbound = 3744978.729886, lowerbound=1303942.729886, norm of subgrad 35.420766 stepsize= 1.000000
+dualbound = 3745030.750275, lowerbound=1303500.750275, norm of subgrad 1142.262120 dualbound = 3745030.750275, lowerbound=1303500.750275, norm of subgrad 36.249419 stepsize= 1.000000
+dualbound = 3745072.847844, lowerbound=1310555.847844, norm of subgrad 1145.311245 dualbound = 3745072.847844, lowerbound=1310555.847844, norm of subgrad 34.987106 stepsize= 1.000000
+dualbound = 3745164.161732, lowerbound=1307580.161732, norm of subgrad 1144.016679 dualbound = 3745164.161732, lowerbound=1307580.161732, norm of subgrad 35.851275 stepsize= 1.000000
+dualbound = 3745221.098378, lowerbound=1304116.098378, norm of subgrad 1142.495120 dualbound = 3745221.098378, lowerbound=1304116.098378, norm of subgrad 35.155891 stepsize= 1.000000
+dualbound = 3745254.902199, lowerbound=1301585.902199, norm of subgrad 1141.400851 dualbound = 3745254.902199, lowerbound=1301585.902199, norm of subgrad 35.267603 stepsize= 1.000000
+dualbound = 3745339.437455, lowerbound=1310230.437455, norm of subgrad 1145.166554 dualbound = 3745339.437455, lowerbound=1310230.437455, norm of subgrad 35.504017 stepsize= 1.000000
+dualbound = 3745404.714949, lowerbound=1303499.714949, norm of subgrad 1142.204323 dualbound = 3745404.714949, lowerbound=1303499.714949, norm of subgrad 34.587245 stepsize= 1.000000
+dualbound = 3745462.680219, lowerbound=1305213.680219, norm of subgrad 1142.970113 dualbound = 3745462.680219, lowerbound=1305213.680219, norm of subgrad 34.999504 stepsize= 1.000000
+dualbound = 3745519.201933, lowerbound=1303927.201933, norm of subgrad 1142.407196 dualbound = 3745519.201933, lowerbound=1303927.201933, norm of subgrad 34.978875 stepsize= 1.000000
+dualbound = 3745584.154765, lowerbound=1305103.154765, norm of subgrad 1142.912138 dualbound = 3745584.154765, lowerbound=1305103.154765, norm of subgrad 34.784376 stepsize= 1.000000
+dualbound = 3745636.557275, lowerbound=1297653.557275, norm of subgrad 1139.674321 dualbound = 3745636.557275, lowerbound=1297653.557275, norm of subgrad 35.445769 stepsize= 1.000000
+dualbound = 3745686.080062, lowerbound=1311402.080062, norm of subgrad 1145.686292 dualbound = 3745686.080062, lowerbound=1311402.080062, norm of subgrad 35.277795 stepsize= 1.000000
+dualbound = 3745758.866100, lowerbound=1300249.866100, norm of subgrad 1140.797469 dualbound = 3745758.866100, lowerbound=1300249.866100, norm of subgrad 35.238985 stepsize= 1.000000
+dualbound = 3745828.006138, lowerbound=1307612.006138, norm of subgrad 1144.024041 dualbound = 3745828.006138, lowerbound=1307612.006138, norm of subgrad 35.329025 stepsize= 1.000000
+dualbound = 3745867.520370, lowerbound=1302923.520370, norm of subgrad 1142.031313 dualbound = 3745867.520370, lowerbound=1302923.520370, norm of subgrad 36.762946 stepsize= 1.000000
+dualbound = 3745918.538691, lowerbound=1307540.538691, norm of subgrad 1144.005917 dualbound = 3745918.538691, lowerbound=1307540.538691, norm of subgrad 35.496737 stepsize= 1.000000
+dualbound = 3746005.352676, lowerbound=1301234.352676, norm of subgrad 1141.237641 dualbound = 3746005.352676, lowerbound=1301234.352676, norm of subgrad 35.718538 stepsize= 1.000000
+dualbound = 3746059.621982, lowerbound=1314466.621982, norm of subgrad 1147.012477 dualbound = 3746059.621982, lowerbound=1314466.621982, norm of subgrad 35.003847 stepsize= 1.000000
+dualbound = 3746127.709084, lowerbound=1301834.709084, norm of subgrad 1141.529548 dualbound = 3746127.709084, lowerbound=1301834.709084, norm of subgrad 36.374264 stepsize= 1.000000
+dualbound = 3746171.252153, lowerbound=1306984.252153, norm of subgrad 1143.792486 dualbound = 3746171.252153, lowerbound=1306984.252153, norm of subgrad 36.339277 stepsize= 1.000000
+dualbound = 3746221.018518, lowerbound=1304522.018518, norm of subgrad 1142.684567 dualbound = 3746221.018518, lowerbound=1304522.018518, norm of subgrad 35.436794 stepsize= 1.000000
+dualbound = 3746291.115563, lowerbound=1298621.115563, norm of subgrad 1140.128552 dualbound = 3746291.115563, lowerbound=1298621.115563, norm of subgrad 36.634643 stepsize= 1.000000
+dualbound = 3746315.677502, lowerbound=1306985.677502, norm of subgrad 1143.752455 dualbound = 3746315.677502, lowerbound=1306985.677502, norm of subgrad 34.764377 stepsize= 1.000000
+dualbound = 3746427.609989, lowerbound=1307699.609989, norm of subgrad 1144.042661 dualbound = 3746427.609989, lowerbound=1307699.609989, norm of subgrad 35.297769 stepsize= 1.000000
+dualbound = 3746486.964866, lowerbound=1304337.964866, norm of subgrad 1142.623282 dualbound = 3746486.964866, lowerbound=1304337.964866, norm of subgrad 36.185009 stepsize= 1.000000
+dualbound = 3746512.717541, lowerbound=1303683.717541, norm of subgrad 1142.318571 dualbound = 3746512.717541, lowerbound=1303683.717541, norm of subgrad 35.124816 stepsize= 1.000000
+dualbound = 3746602.998452, lowerbound=1313545.998452, norm of subgrad 1146.638129 dualbound = 3746602.998452, lowerbound=1313545.998452, norm of subgrad 36.376928 stepsize= 1.000000
+dualbound = 3746652.772123, lowerbound=1306428.772123, norm of subgrad 1143.522528 dualbound = 3746652.772123, lowerbound=1306428.772123, norm of subgrad 35.563657 stepsize= 1.000000
+dualbound = 3746721.421097, lowerbound=1307833.421097, norm of subgrad 1144.152272 dualbound = 3746721.421097, lowerbound=1307833.421097, norm of subgrad 36.326973 stepsize= 1.000000
+dualbound = 3746778.096654, lowerbound=1303669.096654, norm of subgrad 1142.302542 dualbound = 3746778.096654, lowerbound=1303669.096654, norm of subgrad 35.251604 stepsize= 1.000000
+dualbound = 3746842.206107, lowerbound=1307240.206107, norm of subgrad 1143.863281 dualbound = 3746842.206107, lowerbound=1307240.206107, norm of subgrad 35.314437 stepsize= 1.000000
+dualbound = 3746894.098659, lowerbound=1302964.098659, norm of subgrad 1142.000481 dualbound = 3746894.098659, lowerbound=1302964.098659, norm of subgrad 35.396222 stepsize= 1.000000
+dualbound = 3746960.473181, lowerbound=1305882.473181, norm of subgrad 1143.272266 dualbound = 3746960.473181, lowerbound=1305882.473181, norm of subgrad 35.431265 stepsize= 1.000000
+dualbound = 3747031.636478, lowerbound=1307072.636478, norm of subgrad 1143.800086 dualbound = 3747031.636478, lowerbound=1307072.636478, norm of subgrad 35.737422 stepsize= 1.000000
+dualbound = 3747071.631087, lowerbound=1303277.631087, norm of subgrad 1142.149566 dualbound = 3747071.631087, lowerbound=1303277.631087, norm of subgrad 35.608912 stepsize= 1.000000
+dualbound = 3747150.952204, lowerbound=1305888.952204, norm of subgrad 1143.284283 dualbound = 3747150.952204, lowerbound=1305888.952204, norm of subgrad 35.907118 stepsize= 1.000000
+dualbound = 3747202.638135, lowerbound=1305015.638135, norm of subgrad 1142.897475 dualbound = 3747202.638135, lowerbound=1305015.638135, norm of subgrad 35.365038 stepsize= 1.000000
+dualbound = 3747252.967029, lowerbound=1304560.967029, norm of subgrad 1142.714298 dualbound = 3747252.967029, lowerbound=1304560.967029, norm of subgrad 35.851484 stepsize= 1.000000
+dualbound = 3747327.429368, lowerbound=1302616.429368, norm of subgrad 1141.820226 dualbound = 3747327.429368, lowerbound=1302616.429368, norm of subgrad 34.806068 stepsize= 1.000000
+dualbound = 3747406.358835, lowerbound=1306106.358835, norm of subgrad 1143.351372 dualbound = 3747406.358835, lowerbound=1306106.358835, norm of subgrad 34.998992 stepsize= 1.000000
+dualbound = 3747444.138937, lowerbound=1304886.138937, norm of subgrad 1142.840382 dualbound = 3747444.138937, lowerbound=1304886.138937, norm of subgrad 35.153664 stepsize= 1.000000
+dualbound = 3747501.277544, lowerbound=1305404.277544, norm of subgrad 1143.067486 dualbound = 3747501.277544, lowerbound=1305404.277544, norm of subgrad 35.442046 stepsize= 1.000000
+dualbound = 3747551.468671, lowerbound=1296240.468672, norm of subgrad 1139.078342 dualbound = 3747551.468671, lowerbound=1296240.468672, norm of subgrad 36.182746 stepsize= 1.000000
+dualbound = 3747601.370311, lowerbound=1313728.370311, norm of subgrad 1146.719395 dualbound = 3747601.370311, lowerbound=1313728.370311, norm of subgrad 35.873411 stepsize= 1.000000
+dualbound = 3747674.075914, lowerbound=1304087.075914, norm of subgrad 1142.497298 dualbound = 3747674.075914, lowerbound=1304087.075914, norm of subgrad 35.856737 stepsize= 1.000000
+dualbound = 3747734.468018, lowerbound=1310263.468018, norm of subgrad 1145.195384 dualbound = 3747734.468018, lowerbound=1310263.468018, norm of subgrad 35.628529 stepsize= 1.000000
+dualbound = 3747800.497722, lowerbound=1306854.497722, norm of subgrad 1143.695544 dualbound = 3747800.497722, lowerbound=1306854.497722, norm of subgrad 35.369898 stepsize= 1.000000
+dualbound = 3747851.407620, lowerbound=1301335.407620, norm of subgrad 1141.306448 dualbound = 3747851.407620, lowerbound=1301335.407620, norm of subgrad 35.998749 stepsize= 1.000000
+dualbound = 3747924.637520, lowerbound=1299562.637520, norm of subgrad 1140.513760 dualbound = 3747924.637520, lowerbound=1299562.637520, norm of subgrad 35.808238 stepsize= 1.000000
+dualbound = 3747969.007970, lowerbound=1302740.007970, norm of subgrad 1141.910683 dualbound = 3747969.007970, lowerbound=1302740.007970, norm of subgrad 35.557987 stepsize= 1.000000
+dualbound = 3748033.403650, lowerbound=1305393.403650, norm of subgrad 1143.064479 dualbound = 3748033.403650, lowerbound=1305393.403650, norm of subgrad 35.600501 stepsize= 1.000000
+dualbound = 3748109.957736, lowerbound=1308005.957736, norm of subgrad 1144.186155 dualbound = 3748109.957736, lowerbound=1308005.957736, norm of subgrad 35.107750 stepsize= 1.000000
+dualbound = 3748167.426272, lowerbound=1306407.426272, norm of subgrad 1143.492206 dualbound = 3748167.426272, lowerbound=1306407.426272, norm of subgrad 34.992407 stepsize= 1.000000
+dualbound = 3748227.571209, lowerbound=1311804.571209, norm of subgrad 1145.889860 dualbound = 3748227.571209, lowerbound=1311804.571209, norm of subgrad 36.320035 stepsize= 1.000000
+dualbound = 3748246.577148, lowerbound=1303559.577148, norm of subgrad 1142.265984 dualbound = 3748246.577148, lowerbound=1303559.577148, norm of subgrad 35.085694 stepsize= 1.000000
+dualbound = 3748343.339066, lowerbound=1308101.339066, norm of subgrad 1144.252306 dualbound = 3748343.339066, lowerbound=1308101.339066, norm of subgrad 36.176815 stepsize= 1.000000
+dualbound = 3748412.715554, lowerbound=1306688.715554, norm of subgrad 1143.632247 dualbound = 3748412.715554, lowerbound=1306688.715554, norm of subgrad 35.712414 stepsize= 1.000000
+dualbound = 3748448.785403, lowerbound=1303434.785403, norm of subgrad 1142.200414 dualbound = 3748448.785403, lowerbound=1303434.785403, norm of subgrad 34.972416 stepsize= 1.000000
+dualbound = 3748541.602820, lowerbound=1305470.602820, norm of subgrad 1143.084250 dualbound = 3748541.602820, lowerbound=1305470.602820, norm of subgrad 35.550210 stepsize= 1.000000
+dualbound = 3748595.149740, lowerbound=1314510.149740, norm of subgrad 1147.032323 dualbound = 3748595.149740, lowerbound=1314510.149740, norm of subgrad 35.022092 stepsize= 1.000000
+dualbound = 3748669.618784, lowerbound=1300541.618784, norm of subgrad 1140.867047 dualbound = 3748669.618784, lowerbound=1300541.618784, norm of subgrad 33.323701 stepsize= 1.000000
+dualbound = 3748734.887593, lowerbound=1305914.887593, norm of subgrad 1143.268511 dualbound = 3748734.887593, lowerbound=1305914.887593, norm of subgrad 34.832008 stepsize= 1.000000
+dualbound = 3748785.146211, lowerbound=1308009.146211, norm of subgrad 1144.205028 dualbound = 3748785.146211, lowerbound=1308009.146211, norm of subgrad 35.302388 stepsize= 1.000000
+dualbound = 3748808.176648, lowerbound=1303952.176648, norm of subgrad 1142.429069 dualbound = 3748808.176648, lowerbound=1303952.176648, norm of subgrad 34.857287 stepsize= 1.000000
+dualbound = 3748898.324770, lowerbound=1310297.324770, norm of subgrad 1145.188336 dualbound = 3748898.324770, lowerbound=1310297.324770, norm of subgrad 35.343290 stepsize= 1.000000
+dualbound = 3748957.415375, lowerbound=1306646.415375, norm of subgrad 1143.609818 dualbound = 3748957.415375, lowerbound=1306646.415375, norm of subgrad 35.441369 stepsize= 1.000000
+dualbound = 3748987.656001, lowerbound=1308332.656001, norm of subgrad 1144.352068 dualbound = 3748987.656001, lowerbound=1308332.656001, norm of subgrad 35.202850 stepsize= 1.000000
+dualbound = 3749079.155845, lowerbound=1304094.155845, norm of subgrad 1142.474138 dualbound = 3749079.155845, lowerbound=1304094.155845, norm of subgrad 35.277469 stepsize= 1.000000
+dualbound = 3749111.285996, lowerbound=1306300.285996, norm of subgrad 1143.482088 dualbound = 3749111.285996, lowerbound=1306300.285996, norm of subgrad 35.820806 stepsize= 1.000000
+dualbound = 3749160.466796, lowerbound=1308384.466796, norm of subgrad 1144.372958 dualbound = 3749160.466796, lowerbound=1308384.466796, norm of subgrad 35.414415 stepsize= 1.000000
+dualbound = 3749250.398139, lowerbound=1303090.398139, norm of subgrad 1142.029508 dualbound = 3749250.398139, lowerbound=1303090.398139, norm of subgrad 35.084631 stepsize= 1.000000
+dualbound = 3749309.690274, lowerbound=1314340.690274, norm of subgrad 1146.973274 dualbound = 3749309.690274, lowerbound=1314340.690274, norm of subgrad 35.584999 stepsize= 1.000000
+dualbound = 3749365.299813, lowerbound=1302285.299813, norm of subgrad 1141.715069 dualbound = 3749365.299813, lowerbound=1302285.299813, norm of subgrad 35.827497 stepsize= 1.000000
+dualbound = 3749422.837642, lowerbound=1307567.837642, norm of subgrad 1144.027901 dualbound = 3749422.837642, lowerbound=1307567.837642, norm of subgrad 35.910135 stepsize= 1.000000
+dualbound = 3749474.388979, lowerbound=1306244.388979, norm of subgrad 1143.431410 dualbound = 3749474.388979, lowerbound=1306244.388979, norm of subgrad 35.249842 stepsize= 1.000000
+dualbound = 3749568.149712, lowerbound=1308314.149712, norm of subgrad 1144.320825 dualbound = 3749568.149712, lowerbound=1308314.149712, norm of subgrad 35.351955 stepsize= 1.000000
+dualbound = 3749593.540709, lowerbound=1306498.540709, norm of subgrad 1143.576644 dualbound = 3749593.540709, lowerbound=1306498.540709, norm of subgrad 35.977646 stepsize= 1.000000
+dualbound = 3749670.455719, lowerbound=1306676.455719, norm of subgrad 1143.598468 dualbound = 3749670.455719, lowerbound=1306676.455719, norm of subgrad 34.898639 stepsize= 1.000000
+dualbound = 3749736.579348, lowerbound=1306221.579348, norm of subgrad 1143.408317 dualbound = 3749736.579348, lowerbound=1306221.579348, norm of subgrad 35.030324 stepsize= 1.000000
+dualbound = 3749790.406309, lowerbound=1302500.406309, norm of subgrad 1141.760223 dualbound = 3749790.406309, lowerbound=1302500.406309, norm of subgrad 34.202733 stepsize= 1.000000
+dualbound = 3749861.459853, lowerbound=1310601.459853, norm of subgrad 1145.308020 dualbound = 3749861.459853, lowerbound=1310601.459853, norm of subgrad 34.641789 stepsize= 1.000000
+dualbound = 3749907.536095, lowerbound=1309424.536095, norm of subgrad 1144.802837 dualbound = 3749907.536095, lowerbound=1309424.536095, norm of subgrad 34.569875 stepsize= 1.000000
+dualbound = 3749989.568372, lowerbound=1306036.568372, norm of subgrad 1143.302046 dualbound = 3749989.568372, lowerbound=1306036.568372, norm of subgrad 34.424298 stepsize= 1.000000
+dualbound = 3750027.019495, lowerbound=1308967.019495, norm of subgrad 1144.620470 dualbound = 3750027.019495, lowerbound=1308967.019495, norm of subgrad 35.020724 stepsize= 1.000000
+dualbound = 3750072.375697, lowerbound=1298548.375697, norm of subgrad 1140.066829 dualbound = 3750072.375697, lowerbound=1298548.375697, norm of subgrad 35.346233 stepsize= 1.000000
+dualbound = 3750134.391931, lowerbound=1303964.391931, norm of subgrad 1142.436603 dualbound = 3750134.391931, lowerbound=1303964.391931, norm of subgrad 35.482619 stepsize= 1.000000
+dualbound = 3750219.966840, lowerbound=1306243.966840, norm of subgrad 1143.450903 dualbound = 3750219.966840, lowerbound=1306243.966840, norm of subgrad 36.353472 stepsize= 1.000000
+dualbound = 3750248.280820, lowerbound=1308902.280820, norm of subgrad 1144.606168 dualbound = 3750248.280820, lowerbound=1308902.280820, norm of subgrad 35.345636 stepsize= 1.000000
+dualbound = 3750329.886989, lowerbound=1299496.886989, norm of subgrad 1140.466960 dualbound = 3750329.886989, lowerbound=1299496.886989, norm of subgrad 35.349769 stepsize= 1.000000
+dualbound = 3750394.005836, lowerbound=1308014.005836, norm of subgrad 1144.224194 dualbound = 3750394.005836, lowerbound=1308014.005836, norm of subgrad 36.043291 stepsize= 1.000000
+dualbound = 3750444.391309, lowerbound=1303887.391309, norm of subgrad 1142.403340 dualbound = 3750444.391309, lowerbound=1303887.391309, norm of subgrad 35.332499 stepsize= 1.000000
+dualbound = 3750485.672719, lowerbound=1301518.672719, norm of subgrad 1141.392427 dualbound = 3750485.672719, lowerbound=1301518.672719, norm of subgrad 36.045546 stepsize= 1.000000
+dualbound = 3750572.111277, lowerbound=1310659.111277, norm of subgrad 1145.389502 dualbound = 3750572.111277, lowerbound=1310659.111277, norm of subgrad 36.666586 stepsize= 1.000000
+dualbound = 3750619.375034, lowerbound=1303667.375034, norm of subgrad 1142.290845 dualbound = 3750619.375034, lowerbound=1303667.375034, norm of subgrad 34.760089 stepsize= 1.000000
+dualbound = 3750701.482168, lowerbound=1304306.482168, norm of subgrad 1142.577561 dualbound = 3750701.482168, lowerbound=1304306.482168, norm of subgrad 35.483900 stepsize= 1.000000
+dualbound = 3750734.958567, lowerbound=1309443.958567, norm of subgrad 1144.833158 dualbound = 3750734.958567, lowerbound=1309443.958567, norm of subgrad 35.106643 stepsize= 1.000000
+dualbound = 3750810.523051, lowerbound=1305897.523051, norm of subgrad 1143.290218 dualbound = 3750810.523051, lowerbound=1305897.523051, norm of subgrad 35.924427 stepsize= 1.000000
+dualbound = 3750871.824404, lowerbound=1301034.824404, norm of subgrad 1141.154601 dualbound = 3750871.824404, lowerbound=1301034.824404, norm of subgrad 35.500723 stepsize= 1.000000
+dualbound = 3750928.869648, lowerbound=1310924.869648, norm of subgrad 1145.465787 dualbound = 3750928.869648, lowerbound=1310924.869648, norm of subgrad 34.986358 stepsize= 1.000000
+dualbound = 3750989.860969, lowerbound=1303365.860969, norm of subgrad 1142.193443 dualbound = 3750989.860969, lowerbound=1303365.860969, norm of subgrad 36.069257 stepsize= 1.000000
+dualbound = 3751047.568474, lowerbound=1304347.568474, norm of subgrad 1142.629235 dualbound = 3751047.568474, lowerbound=1304347.568474, norm of subgrad 36.217503 stepsize= 1.000000
+dualbound = 3751089.857543, lowerbound=1302754.857543, norm of subgrad 1141.923753 dualbound = 3751089.857543, lowerbound=1302754.857543, norm of subgrad 35.739181 stepsize= 1.000000
+dualbound = 3751156.707512, lowerbound=1311935.707512, norm of subgrad 1145.922208 dualbound = 3751156.707512, lowerbound=1311935.707512, norm of subgrad 35.620920 stepsize= 1.000000
+dualbound = 3751220.522692, lowerbound=1307410.522692, norm of subgrad 1143.925488 dualbound = 3751220.522692, lowerbound=1307410.522692, norm of subgrad 34.911534 stepsize= 1.000000
+dualbound = 3751287.667405, lowerbound=1309192.667405, norm of subgrad 1144.718161 dualbound = 3751287.667405, lowerbound=1309192.667405, norm of subgrad 35.413906 stepsize= 1.000000
+dualbound = 3751342.488654, lowerbound=1300721.488654, norm of subgrad 1141.015990 dualbound = 3751342.488654, lowerbound=1300721.488654, norm of subgrad 35.366951 stepsize= 1.000000
+dualbound = 3751401.860169, lowerbound=1308813.860169, norm of subgrad 1144.556622 dualbound = 3751401.860169, lowerbound=1308813.860169, norm of subgrad 35.431222 stepsize= 1.000000
+dualbound = 3751462.386468, lowerbound=1308749.386468, norm of subgrad 1144.528893 dualbound = 3751462.386468, lowerbound=1308749.386468, norm of subgrad 35.461617 stepsize= 1.000000
+dualbound = 3751524.403245, lowerbound=1307654.403245, norm of subgrad 1144.056119 dualbound = 3751524.403245, lowerbound=1307654.403245, norm of subgrad 35.665344 stepsize= 1.000000
+dualbound = 3751565.031004, lowerbound=1305149.031004, norm of subgrad 1142.988640 dualbound = 3751565.031004, lowerbound=1305149.031004, norm of subgrad 36.257796 stepsize= 1.000000
+dualbound = 3751616.978563, lowerbound=1304744.978563, norm of subgrad 1142.795248 dualbound = 3751616.978563, lowerbound=1304744.978563, norm of subgrad 35.887986 stepsize= 1.000000
+dualbound = 3751698.830033, lowerbound=1309596.830033, norm of subgrad 1144.901232 dualbound = 3751698.830033, lowerbound=1309596.830033, norm of subgrad 35.830873 stepsize= 1.000000
+dualbound = 3751771.173460, lowerbound=1299288.173460, norm of subgrad 1140.378522 dualbound = 3751771.173460, lowerbound=1299288.173460, norm of subgrad 35.317749 stepsize= 1.000000
+dualbound = 3751818.268831, lowerbound=1308910.268831, norm of subgrad 1144.615773 dualbound = 3751818.268831, lowerbound=1308910.268831, norm of subgrad 35.806359 stepsize= 1.000000
+dualbound = 3751879.934591, lowerbound=1306731.934591, norm of subgrad 1143.643272 dualbound = 3751879.934591, lowerbound=1306731.934591, norm of subgrad 35.350612 stepsize= 1.000000
+dualbound = 3751932.053227, lowerbound=1308869.053227, norm of subgrad 1144.590343 dualbound = 3751932.053227, lowerbound=1308869.053227, norm of subgrad 35.638724 stepsize= 1.000000
+dualbound = 3752012.421502, lowerbound=1304068.421502, norm of subgrad 1142.485633 dualbound = 3752012.421502, lowerbound=1304068.421502, norm of subgrad 35.852033 stepsize= 1.000000
+dualbound = 3752066.120447, lowerbound=1305729.120447, norm of subgrad 1143.201260 dualbound = 3752066.120447, lowerbound=1305729.120447, norm of subgrad 35.124051 stepsize= 1.000000
+dualbound = 3752124.204351, lowerbound=1304204.204351, norm of subgrad 1142.533678 dualbound = 3752124.204351, lowerbound=1304204.204351, norm of subgrad 35.172204 stepsize= 1.000000
+dualbound = 3752187.749308, lowerbound=1305171.749308, norm of subgrad 1142.976268 dualbound = 3752187.749308, lowerbound=1305171.749308, norm of subgrad 35.868440 stepsize= 1.000000
+dualbound = 3752223.104015, lowerbound=1308587.104015, norm of subgrad 1144.469792 dualbound = 3752223.104015, lowerbound=1308587.104015, norm of subgrad 35.487388 stepsize= 1.000000
+dualbound = 3752283.230358, lowerbound=1305360.230358, norm of subgrad 1143.093710 dualbound = 3752283.230358, lowerbound=1305360.230358, norm of subgrad 36.920541 stepsize= 1.000000
+dualbound = 3752338.186282, lowerbound=1304495.186282, norm of subgrad 1142.678514 dualbound = 3752338.186282, lowerbound=1304495.186282, norm of subgrad 35.692519 stepsize= 1.000000
+dualbound = 3752419.748822, lowerbound=1307327.748822, norm of subgrad 1143.883626 dualbound = 3752419.748822, lowerbound=1307327.748822, norm of subgrad 34.979459 stepsize= 1.000000
+dualbound = 3752486.494766, lowerbound=1308739.494766, norm of subgrad 1144.513213 dualbound = 3752486.494766, lowerbound=1308739.494766, norm of subgrad 35.181614 stepsize= 1.000000
+dualbound = 3752545.741703, lowerbound=1301776.741703, norm of subgrad 1141.498463 dualbound = 3752545.741703, lowerbound=1301776.741703, norm of subgrad 36.072801 stepsize= 1.000000
+dualbound = 3752586.758006, lowerbound=1306576.758006, norm of subgrad 1143.571492 dualbound = 3752586.758006, lowerbound=1306576.758006, norm of subgrad 34.928732 stepsize= 1.000000
+dualbound = 3752658.512085, lowerbound=1305361.512085, norm of subgrad 1143.041781 dualbound = 3752658.512085, lowerbound=1305361.512085, norm of subgrad 35.422508 stepsize= 1.000000
+dualbound = 3752700.085380, lowerbound=1306967.085380, norm of subgrad 1143.760502 dualbound = 3752700.085380, lowerbound=1306967.085380, norm of subgrad 35.532707 stepsize= 1.000000
+dualbound = 3752764.126946, lowerbound=1308898.126946, norm of subgrad 1144.596491 dualbound = 3752764.126946, lowerbound=1308898.126946, norm of subgrad 35.595527 stepsize= 1.000000
+dualbound = 3752823.560987, lowerbound=1302772.560987, norm of subgrad 1141.923623 dualbound = 3752823.560987, lowerbound=1302772.560987, norm of subgrad 35.727217 stepsize= 1.000000
+dualbound = 3752879.863852, lowerbound=1308011.863852, norm of subgrad 1144.212770 dualbound = 3752879.863852, lowerbound=1308011.863852, norm of subgrad 35.599198 stepsize= 1.000000
+dualbound = 3752950.839514, lowerbound=1307786.839514, norm of subgrad 1144.079910 dualbound = 3752950.839514, lowerbound=1307786.839514, norm of subgrad 34.683940 stepsize= 1.000000
+dualbound = 3753023.982426, lowerbound=1305535.982426, norm of subgrad 1143.094914 dualbound = 3753023.982426, lowerbound=1305535.982426, norm of subgrad 34.686351 stepsize= 1.000000
+dualbound = 3753090.377861, lowerbound=1306888.377861, norm of subgrad 1143.660517 dualbound = 3753090.377861, lowerbound=1306888.377861, norm of subgrad 33.725294 stepsize= 1.000000
+dualbound = 3753178.592446, lowerbound=1308303.592446, norm of subgrad 1144.314464 dualbound = 3753178.592446, lowerbound=1308303.592446, norm of subgrad 35.216680 stepsize= 1.000000
+dualbound = 3753189.999205, lowerbound=1303009.999205, norm of subgrad 1142.005254 dualbound = 3753189.999205, lowerbound=1303009.999205, norm of subgrad 34.313361 stepsize= 1.000000
+dualbound = 3753241.705530, lowerbound=1302087.705530, norm of subgrad 1141.628970 dualbound = 3753241.705530, lowerbound=1302087.705530, norm of subgrad 35.786957 stepsize= 1.000000
+dualbound = 3753304.634852, lowerbound=1307181.634852, norm of subgrad 1143.840738 dualbound = 3753304.634852, lowerbound=1307181.634852, norm of subgrad 35.396742 stepsize= 1.000000
+dualbound = 3753376.098299, lowerbound=1307479.098299, norm of subgrad 1143.961144 dualbound = 3753376.098299, lowerbound=1307479.098299, norm of subgrad 35.206014 stepsize= 1.000000
+dualbound = 3753427.080871, lowerbound=1307574.080871, norm of subgrad 1144.018829 dualbound = 3753427.080871, lowerbound=1307574.080871, norm of subgrad 35.439844 stepsize= 1.000000
+dualbound = 3753504.298772, lowerbound=1302554.298772, norm of subgrad 1141.784699 dualbound = 3753504.298772, lowerbound=1302554.298772, norm of subgrad 34.571924 stepsize= 1.000000
+dualbound = 3753552.971348, lowerbound=1304668.971348, norm of subgrad 1142.716925 dualbound = 3753552.971348, lowerbound=1304668.971348, norm of subgrad 34.375465 stepsize= 1.000000
+dualbound = 3753637.604953, lowerbound=1312863.604953, norm of subgrad 1146.312176 dualbound = 3753637.604953, lowerbound=1312863.604953, norm of subgrad 35.392564 stepsize= 1.000000
+dualbound = 3753666.370301, lowerbound=1301453.370301, norm of subgrad 1141.305117 dualbound = 3753666.370301, lowerbound=1301453.370301, norm of subgrad 33.952398 stepsize= 1.000000
+dualbound = 3753746.672383, lowerbound=1302420.672383, norm of subgrad 1141.748077 dualbound = 3753746.672383, lowerbound=1302420.672383, norm of subgrad 35.331319 stepsize= 1.000000
+dualbound = 3753767.158240, lowerbound=1309950.158240, norm of subgrad 1145.051596 dualbound = 3753767.158240, lowerbound=1309950.158240, norm of subgrad 34.835124 stepsize= 1.000000
+dualbound = 3753852.768298, lowerbound=1303478.768298, norm of subgrad 1142.238052 dualbound = 3753852.768298, lowerbound=1303478.768298, norm of subgrad 36.257552 stepsize= 1.000000
+dualbound = 3753909.964933, lowerbound=1307142.964933, norm of subgrad 1143.830829 dualbound = 3753909.964933, lowerbound=1307142.964933, norm of subgrad 35.541478 stepsize= 1.000000
+dualbound = 3753968.863510, lowerbound=1311009.863510, norm of subgrad 1145.538242 dualbound = 3753968.863510, lowerbound=1311009.863510, norm of subgrad 36.151052 stepsize= 1.000000
+dualbound = 3754006.065824, lowerbound=1305728.065824, norm of subgrad 1143.202985 dualbound = 3754006.065824, lowerbound=1305728.065824, norm of subgrad 34.960010 stepsize= 1.000000
+dualbound = 3754072.349131, lowerbound=1313823.349131, norm of subgrad 1146.764295 dualbound = 3754072.349131, lowerbound=1313823.349131, norm of subgrad 36.211646 stepsize= 1.000000
+dualbound = 3754139.714011, lowerbound=1303054.714011, norm of subgrad 1142.044970 dualbound = 3754139.714011, lowerbound=1303054.714011, norm of subgrad 35.768210 stepsize= 1.000000
+dualbound = 3754223.989453, lowerbound=1304061.989453, norm of subgrad 1142.443429 dualbound = 3754223.989453, lowerbound=1304061.989453, norm of subgrad 34.630556 stepsize= 1.000000
+dualbound = 3754271.464037, lowerbound=1310089.464037, norm of subgrad 1145.096705 dualbound = 3754271.464037, lowerbound=1310089.464037, norm of subgrad 34.705541 stepsize= 1.000000
+dualbound = 3754322.030128, lowerbound=1306104.030128, norm of subgrad 1143.377466 dualbound = 3754322.030128, lowerbound=1306104.030128, norm of subgrad 35.476275 stepsize= 1.000000
+dualbound = 3754357.470242, lowerbound=1309825.470242, norm of subgrad 1145.020729 dualbound = 3754357.470242, lowerbound=1309825.470242, norm of subgrad 35.811173 stepsize= 1.000000
+dualbound = 3754409.776187, lowerbound=1309160.776187, norm of subgrad 1144.728254 dualbound = 3754409.776187, lowerbound=1309160.776187, norm of subgrad 35.976464 stepsize= 1.000000
+dualbound = 3754487.262797, lowerbound=1306620.262797, norm of subgrad 1143.599258 dualbound = 3754487.262797, lowerbound=1306620.262797, norm of subgrad 35.727953 stepsize= 1.000000
+dualbound = 3754548.206106, lowerbound=1306702.206106, norm of subgrad 1143.615847 dualbound = 3754548.206106, lowerbound=1306702.206106, norm of subgrad 34.870379 stepsize= 1.000000
+dualbound = 3754632.438505, lowerbound=1308240.438505, norm of subgrad 1144.285558 dualbound = 3754632.438505, lowerbound=1308240.438505, norm of subgrad 35.117409 stepsize= 1.000000
+dualbound = 3754646.946250, lowerbound=1304282.946250, norm of subgrad 1142.585641 dualbound = 3754646.946250, lowerbound=1304282.946250, norm of subgrad 35.121329 stepsize= 1.000000
+dualbound = 3754720.043763, lowerbound=1306922.043763, norm of subgrad 1143.739063 dualbound = 3754720.043763, lowerbound=1306922.043763, norm of subgrad 35.917927 stepsize= 1.000000
+dualbound = 3754790.064210, lowerbound=1304697.064210, norm of subgrad 1142.754595 dualbound = 3754790.064210, lowerbound=1304697.064210, norm of subgrad 35.510850 stepsize= 1.000000
+dualbound = 3754854.832460, lowerbound=1308527.832460, norm of subgrad 1144.408071 dualbound = 3754854.832460, lowerbound=1308527.832460, norm of subgrad 34.738570 stepsize= 1.000000
+dualbound = 3754912.422694, lowerbound=1308197.422694, norm of subgrad 1144.274190 dualbound = 3754912.422694, lowerbound=1308197.422694, norm of subgrad 34.979855 stepsize= 1.000000
+dualbound = 3754968.875288, lowerbound=1305230.875288, norm of subgrad 1142.975011 dualbound = 3754968.875288, lowerbound=1305230.875288, norm of subgrad 34.892013 stepsize= 1.000000
+dualbound = 3755033.303702, lowerbound=1308548.303702, norm of subgrad 1144.435801 dualbound = 3755033.303702, lowerbound=1308548.303702, norm of subgrad 35.347255 stepsize= 1.000000
+dualbound = 3755090.980682, lowerbound=1302033.980682, norm of subgrad 1141.576971 dualbound = 3755090.980682, lowerbound=1302033.980682, norm of subgrad 34.952496 stepsize= 1.000000
+dualbound = 3755152.867795, lowerbound=1310352.867795, norm of subgrad 1145.214769 dualbound = 3755152.867795, lowerbound=1310352.867795, norm of subgrad 35.012671 stepsize= 1.000000
+dualbound = 3755193.254583, lowerbound=1305932.254583, norm of subgrad 1143.302783 dualbound = 3755193.254583, lowerbound=1305932.254583, norm of subgrad 35.346666 stepsize= 1.000000
+dualbound = 3755259.749120, lowerbound=1307495.749120, norm of subgrad 1143.969296 dualbound = 3755259.749120, lowerbound=1307495.749120, norm of subgrad 35.163824 stepsize= 1.000000
+dualbound = 3755311.884924, lowerbound=1307571.884924, norm of subgrad 1144.019180 dualbound = 3755311.884924, lowerbound=1307571.884924, norm of subgrad 35.498392 stepsize= 1.000000
+dualbound = 3755360.752295, lowerbound=1311574.752295, norm of subgrad 1145.780848 dualbound = 3755360.752295, lowerbound=1311574.752295, norm of subgrad 35.886869 stepsize= 1.000000
+dualbound = 3755404.435424, lowerbound=1305412.435424, norm of subgrad 1143.074554 dualbound = 3755404.435424, lowerbound=1305412.435424, norm of subgrad 35.364999 stepsize= 1.000000
+dualbound = 3755506.903054, lowerbound=1310015.903054, norm of subgrad 1145.027905 dualbound = 3755506.903054, lowerbound=1310015.903054, norm of subgrad 34.285093 stepsize= 1.000000
+dualbound = 3755573.283187, lowerbound=1307211.283187, norm of subgrad 1143.838836 dualbound = 3755573.283187, lowerbound=1307211.283187, norm of subgrad 34.962553 stepsize= 1.000000
+dualbound = 3755614.576822, lowerbound=1303301.576822, norm of subgrad 1142.143851 dualbound = 3755614.576822, lowerbound=1303301.576822, norm of subgrad 35.104040 stepsize= 1.000000
+dualbound = 3755672.425096, lowerbound=1307763.425096, norm of subgrad 1144.079291 dualbound = 3755672.425096, lowerbound=1307763.425096, norm of subgrad 34.811611 stepsize= 1.000000
+dualbound = 3755738.034285, lowerbound=1311477.034285, norm of subgrad 1145.741260 dualbound = 3755738.034285, lowerbound=1311477.034285, norm of subgrad 36.216145 stepsize= 1.000000
+dualbound = 3755769.677616, lowerbound=1305470.677616, norm of subgrad 1143.112277 dualbound = 3755769.677616, lowerbound=1305470.677616, norm of subgrad 35.589933 stepsize= 1.000000
+dualbound = 3755832.313201, lowerbound=1304945.313201, norm of subgrad 1142.890770 dualbound = 3755832.313201, lowerbound=1304945.313201, norm of subgrad 36.285473 stepsize= 1.000000
+dualbound = 3755899.413223, lowerbound=1308008.413223, norm of subgrad 1144.217817 dualbound = 3755899.413223, lowerbound=1308008.413223, norm of subgrad 35.959700 stepsize= 1.000000
+dualbound = 3755953.120960, lowerbound=1309581.120960, norm of subgrad 1144.909220 dualbound = 3755953.120960, lowerbound=1309581.120960, norm of subgrad 35.912501 stepsize= 1.000000
+dualbound = 3756016.516194, lowerbound=1305142.516194, norm of subgrad 1142.961293 dualbound = 3756016.516194, lowerbound=1305142.516194, norm of subgrad 35.796581 stepsize= 1.000000
+dualbound = 3756083.862737, lowerbound=1307454.862737, norm of subgrad 1143.940061 dualbound = 3756083.862737, lowerbound=1307454.862737, norm of subgrad 34.804404 stepsize= 1.000000
+dualbound = 3756158.179579, lowerbound=1306394.179579, norm of subgrad 1143.499969 dualbound = 3756158.179579, lowerbound=1306394.179579, norm of subgrad 35.669551 stepsize= 1.000000
+dualbound = 3756168.702786, lowerbound=1305551.702786, norm of subgrad 1143.118412 dualbound = 3756168.702786, lowerbound=1305551.702786, norm of subgrad 34.329626 stepsize= 1.000000
+dualbound = 3756268.330231, lowerbound=1310096.330231, norm of subgrad 1145.101013 dualbound = 3756268.330231, lowerbound=1310096.330231, norm of subgrad 35.491231 stepsize= 1.000000
+dualbound = 3756315.281069, lowerbound=1305543.281069, norm of subgrad 1143.090233 dualbound = 3756315.281069, lowerbound=1305543.281069, norm of subgrad 34.043367 stepsize= 1.000000
+dualbound = 3756408.747972, lowerbound=1304792.747972, norm of subgrad 1142.774583 dualbound = 3756408.747972, lowerbound=1304792.747972, norm of subgrad 35.134981 stepsize= 1.000000
+dualbound = 3756417.941336, lowerbound=1307739.941336, norm of subgrad 1144.069465 dualbound = 3756417.941336, lowerbound=1307739.941336, norm of subgrad 34.120278 stepsize= 1.000000
+dualbound = 3756519.149532, lowerbound=1302389.149532, norm of subgrad 1141.720259 dualbound = 3756519.149532, lowerbound=1302389.149532, norm of subgrad 35.173970 stepsize= 1.000000
+dualbound = 3756576.282070, lowerbound=1309964.282070, norm of subgrad 1145.034184 dualbound = 3756576.282070, lowerbound=1309964.282070, norm of subgrad 34.585149 stepsize= 1.000000
+dualbound = 3756623.674727, lowerbound=1307608.674727, norm of subgrad 1144.013844 dualbound = 3756623.674727, lowerbound=1307608.674727, norm of subgrad 34.733164 stepsize= 1.000000
+dualbound = 3756649.973856, lowerbound=1313057.973856, norm of subgrad 1146.438386 dualbound = 3756649.973856, lowerbound=1313057.973856, norm of subgrad 35.906812 stepsize= 1.000000
+dualbound = 3756692.815988, lowerbound=1303516.815988, norm of subgrad 1142.249892 dualbound = 3756692.815988, lowerbound=1303516.815988, norm of subgrad 35.508339 stepsize= 1.000000
+dualbound = 3756788.777991, lowerbound=1309756.777991, norm of subgrad 1144.974139 dualbound = 3756788.777991, lowerbound=1309756.777991, norm of subgrad 36.124258 stepsize= 1.000000
+dualbound = 3756818.226847, lowerbound=1305793.226847, norm of subgrad 1143.258163 dualbound = 3756818.226847, lowerbound=1305793.226847, norm of subgrad 35.713427 stepsize= 1.000000
+dualbound = 3756902.621991, lowerbound=1312414.621991, norm of subgrad 1146.121556 dualbound = 3756902.621991, lowerbound=1312414.621991, norm of subgrad 35.558334 stepsize= 1.000000
+dualbound = 3756954.065917, lowerbound=1304763.065917, norm of subgrad 1142.777347 dualbound = 3756954.065917, lowerbound=1304763.065917, norm of subgrad 35.049164 stepsize= 1.000000
+dualbound = 3757019.400510, lowerbound=1310561.400510, norm of subgrad 1145.314106 dualbound = 3757019.400510, lowerbound=1310561.400510, norm of subgrad 35.331779 stepsize= 1.000000
+dualbound = 3757056.653475, lowerbound=1306523.653475, norm of subgrad 1143.556144 dualbound = 3757056.653475, lowerbound=1306523.653475, norm of subgrad 35.131937 stepsize= 1.000000
+dualbound = 3757148.126469, lowerbound=1310458.126469, norm of subgrad 1145.245880 dualbound = 3757148.126469, lowerbound=1310458.126469, norm of subgrad 34.949578 stepsize= 1.000000
+dualbound = 3757197.457098, lowerbound=1305176.457098, norm of subgrad 1142.976578 dualbound = 3757197.457098, lowerbound=1305176.457098, norm of subgrad 35.613630 stepsize= 1.000000
+dualbound = 3757245.150994, lowerbound=1315180.150994, norm of subgrad 1147.332189 dualbound = 3757245.150994, lowerbound=1315180.150994, norm of subgrad 35.195083 stepsize= 1.000000
+dualbound = 3757291.193145, lowerbound=1299513.193145, norm of subgrad 1140.498221 dualbound = 3757291.193145, lowerbound=1299513.193145, norm of subgrad 35.623618 stepsize= 1.000000
+dualbound = 3757379.417802, lowerbound=1308735.417802, norm of subgrad 1144.491336 dualbound = 3757379.417802, lowerbound=1308735.417802, norm of subgrad 34.831375 stepsize= 1.000000
+dualbound = 3757440.152934, lowerbound=1305874.152934, norm of subgrad 1143.257693 dualbound = 3757440.152934, lowerbound=1305874.152934, norm of subgrad 34.996216 stepsize= 1.000000
+dualbound = 3757503.043660, lowerbound=1308428.043660, norm of subgrad 1144.374958 dualbound = 3757503.043660, lowerbound=1308428.043660, norm of subgrad 35.055538 stepsize= 1.000000
+dualbound = 3757548.924030, lowerbound=1305327.924030, norm of subgrad 1143.015715 dualbound = 3757548.924030, lowerbound=1305327.924030, norm of subgrad 34.682566 stepsize= 1.000000
+dualbound = 3757608.554677, lowerbound=1310313.554677, norm of subgrad 1145.192366 dualbound = 3757608.554677, lowerbound=1310313.554677, norm of subgrad 34.808485 stepsize= 1.000000
+dualbound = 3757657.947289, lowerbound=1304033.947289, norm of subgrad 1142.447788 dualbound = 3757657.947289, lowerbound=1304033.947289, norm of subgrad 34.675533 stepsize= 1.000000
+dualbound = 3757729.353578, lowerbound=1312721.353578, norm of subgrad 1146.249255 dualbound = 3757729.353578, lowerbound=1312721.353578, norm of subgrad 35.176786 stepsize= 1.000000
+dualbound = 3757791.682941, lowerbound=1309932.682941, norm of subgrad 1145.033922 dualbound = 3757791.682941, lowerbound=1309932.682941, norm of subgrad 35.104549 stepsize= 1.000000
+dualbound = 3757839.800516, lowerbound=1309614.800516, norm of subgrad 1144.877199 dualbound = 3757839.800516, lowerbound=1309614.800516, norm of subgrad 34.309147 stepsize= 1.000000
+dualbound = 3757906.452314, lowerbound=1303759.452314, norm of subgrad 1142.360036 dualbound = 3757906.452314, lowerbound=1303759.452314, norm of subgrad 35.967371 stepsize= 1.000000
+dualbound = 3757958.416383, lowerbound=1310177.416383, norm of subgrad 1145.135982 dualbound = 3757958.416383, lowerbound=1310177.416383, norm of subgrad 34.798909 stepsize= 1.000000
+dualbound = 3758029.394044, lowerbound=1305197.394044, norm of subgrad 1142.979612 dualbound = 3758029.394044, lowerbound=1305197.394044, norm of subgrad 35.720830 stepsize= 1.000000
+dualbound = 3758068.712689, lowerbound=1305358.712689, norm of subgrad 1143.027870 dualbound = 3758068.712689, lowerbound=1305358.712689, norm of subgrad 34.544444 stepsize= 1.000000
+dualbound = 3758139.144596, lowerbound=1309706.144596, norm of subgrad 1144.967312 dualbound = 3758139.144596, lowerbound=1309706.144596, norm of subgrad 36.255095 stepsize= 1.000000
+dualbound = 3758163.925891, lowerbound=1309391.925891, norm of subgrad 1144.783790 dualbound = 3758163.925891, lowerbound=1309391.925891, norm of subgrad 34.099579 stepsize= 1.000000
+dualbound = 3758262.772277, lowerbound=1308435.772277, norm of subgrad 1144.372218 dualbound = 3758262.772277, lowerbound=1308435.772277, norm of subgrad 35.367307 stepsize= 1.000000
+dualbound = 3758300.174630, lowerbound=1303268.174630, norm of subgrad 1142.127040 dualbound = 3758300.174630, lowerbound=1303268.174630, norm of subgrad 34.977169 stepsize= 1.000000
+dualbound = 3758365.077392, lowerbound=1305933.077392, norm of subgrad 1143.300519 dualbound = 3758365.077392, lowerbound=1305933.077392, norm of subgrad 35.607622 stepsize= 1.000000
+dualbound = 3758430.954834, lowerbound=1306734.954834, norm of subgrad 1143.635849 dualbound = 3758430.954834, lowerbound=1306734.954834, norm of subgrad 35.126592 stepsize= 1.000000
+dualbound = 3758484.531149, lowerbound=1308757.531149, norm of subgrad 1144.550362 dualbound = 3758484.531149, lowerbound=1308757.531149, norm of subgrad 35.938507 stepsize= 1.000000
+dualbound = 3758536.507449, lowerbound=1310859.507449, norm of subgrad 1145.474796 dualbound = 3758536.507449, lowerbound=1310859.507449, norm of subgrad 36.124456 stepsize= 1.000000
+dualbound = 3758568.056269, lowerbound=1309807.056269, norm of subgrad 1145.042382 dualbound = 3758568.056269, lowerbound=1309807.056269, norm of subgrad 36.695351 stepsize= 1.000000
+dualbound = 3758650.196765, lowerbound=1305050.196765, norm of subgrad 1142.932718 dualbound = 3758650.196765, lowerbound=1305050.196765, norm of subgrad 36.429940 stepsize= 1.000000
+dualbound = 3758724.137631, lowerbound=1310407.137631, norm of subgrad 1145.249378 dualbound = 3758724.137631, lowerbound=1310407.137631, norm of subgrad 35.537879 stepsize= 1.000000
+dualbound = 3758788.707752, lowerbound=1305338.707752, norm of subgrad 1142.986311 dualbound = 3758788.707752, lowerbound=1305338.707752, norm of subgrad 33.816714 stepsize= 1.000000
+dualbound = 3758855.532062, lowerbound=1309757.532062, norm of subgrad 1144.944772 dualbound = 3758855.532062, lowerbound=1309757.532062, norm of subgrad 34.753767 stepsize= 1.000000
+dualbound = 3758884.311134, lowerbound=1304929.311134, norm of subgrad 1142.859708 dualbound = 3758884.311134, lowerbound=1304929.311134, norm of subgrad 35.039679 stepsize= 1.000000
+dualbound = 3758960.746310, lowerbound=1309079.746310, norm of subgrad 1144.640881 dualbound = 3758960.746310, lowerbound=1309079.746310, norm of subgrad 34.632863 stepsize= 1.000000
+dualbound = 3759011.430454, lowerbound=1308898.430454, norm of subgrad 1144.567355 dualbound = 3759011.430454, lowerbound=1308898.430454, norm of subgrad 34.448282 stepsize= 1.000000
+dualbound = 3759085.220831, lowerbound=1310205.220831, norm of subgrad 1145.129783 dualbound = 3759085.220831, lowerbound=1310205.220831, norm of subgrad 34.507831 stepsize= 1.000000
+dualbound = 3759124.856871, lowerbound=1301275.856871, norm of subgrad 1141.243995 dualbound = 3759124.856871, lowerbound=1301275.856871, norm of subgrad 34.664622 stepsize= 1.000000
+dualbound = 3759187.411907, lowerbound=1309958.411907, norm of subgrad 1145.080526 dualbound = 3759187.411907, lowerbound=1309958.411907, norm of subgrad 36.243000 stepsize= 1.000000
+dualbound = 3759251.787632, lowerbound=1309278.787632, norm of subgrad 1144.730006 dualbound = 3759251.787632, lowerbound=1309278.787632, norm of subgrad 34.530794 stepsize= 1.000000
+dualbound = 3759292.776985, lowerbound=1308834.776985, norm of subgrad 1144.545664 dualbound = 3759292.776985, lowerbound=1308834.776985, norm of subgrad 34.510714 stepsize= 1.000000
+dualbound = 3759368.291038, lowerbound=1313259.291038, norm of subgrad 1146.520079 dualbound = 3759368.291038, lowerbound=1313259.291038, norm of subgrad 36.393874 stepsize= 1.000000
+dualbound = 3759411.153689, lowerbound=1306046.153689, norm of subgrad 1143.343410 dualbound = 3759411.153689, lowerbound=1306046.153689, norm of subgrad 35.083652 stepsize= 1.000000
+dualbound = 3759503.045277, lowerbound=1302468.045277, norm of subgrad 1141.733351 dualbound = 3759503.045277, lowerbound=1302468.045277, norm of subgrad 34.334991 stepsize= 1.000000
+dualbound = 3759547.819738, lowerbound=1313534.819738, norm of subgrad 1146.576129 dualbound = 3759547.819738, lowerbound=1313534.819738, norm of subgrad 33.864059 stepsize= 1.000000
+dualbound = 3759603.579268, lowerbound=1309354.579268, norm of subgrad 1144.761363 dualbound = 3759603.579268, lowerbound=1309354.579268, norm of subgrad 34.347628 stepsize= 1.000000
+dualbound = 3759668.899347, lowerbound=1308642.899347, norm of subgrad 1144.455285 dualbound = 3759668.899347, lowerbound=1308642.899347, norm of subgrad 34.645636 stepsize= 1.000000
+dualbound = 3759729.515343, lowerbound=1306058.515343, norm of subgrad 1143.359749 dualbound = 3759729.515343, lowerbound=1306058.515343, norm of subgrad 35.687757 stepsize= 1.000000
+dualbound = 3759739.563926, lowerbound=1305248.563926, norm of subgrad 1143.005496 dualbound = 3759739.563926, lowerbound=1305248.563926, norm of subgrad 34.972112 stepsize= 1.000000
+dualbound = 3759836.508314, lowerbound=1306124.508314, norm of subgrad 1143.368929 dualbound = 3759836.508314, lowerbound=1306124.508314, norm of subgrad 35.566057 stepsize= 1.000000
+dualbound = 3759889.102087, lowerbound=1308322.102087, norm of subgrad 1144.300704 dualbound = 3759889.102087, lowerbound=1308322.102087, norm of subgrad 33.979314 stepsize= 1.000000
+dualbound = 3759965.673386, lowerbound=1302705.673386, norm of subgrad 1141.896087 dualbound = 3759965.673386, lowerbound=1302705.673386, norm of subgrad 36.021817 stepsize= 1.000000
+dualbound = 3759988.974834, lowerbound=1311338.974834, norm of subgrad 1145.678391 dualbound = 3759988.974834, lowerbound=1311338.974834, norm of subgrad 35.542952 stepsize= 1.000000
+dualbound = 3760051.879367, lowerbound=1303684.879367, norm of subgrad 1142.312514 dualbound = 3760051.879367, lowerbound=1303684.879367, norm of subgrad 35.438743 stepsize= 1.000000
+dualbound = 3760104.653366, lowerbound=1310159.653366, norm of subgrad 1145.175381 dualbound = 3760104.653366, lowerbound=1310159.653366, norm of subgrad 36.328694 stepsize= 1.000000
+dualbound = 3760149.505773, lowerbound=1307452.505773, norm of subgrad 1143.961322 dualbound = 3760149.505773, lowerbound=1307452.505773, norm of subgrad 35.211538 stepsize= 1.000000
+dualbound = 3760242.882457, lowerbound=1310831.882457, norm of subgrad 1145.412102 dualbound = 3760242.882457, lowerbound=1310831.882457, norm of subgrad 35.076726 stepsize= 1.000000
+dualbound = 3760302.758505, lowerbound=1305570.758505, norm of subgrad 1143.145992 dualbound = 3760302.758505, lowerbound=1305570.758505, norm of subgrad 35.663371 stepsize= 1.000000
+dualbound = 3760349.477729, lowerbound=1309044.477729, norm of subgrad 1144.659547 dualbound = 3760349.477729, lowerbound=1309044.477729, norm of subgrad 35.323069 stepsize= 1.000000
+dualbound = 3760404.704460, lowerbound=1309290.704460, norm of subgrad 1144.737832 dualbound = 3760404.704460, lowerbound=1309290.704460, norm of subgrad 34.485167 stepsize= 1.000000
+dualbound = 3760502.516261, lowerbound=1309247.516261, norm of subgrad 1144.708485 dualbound = 3760502.516261, lowerbound=1309247.516261, norm of subgrad 34.753587 stepsize= 1.000000
+dualbound = 3760535.617054, lowerbound=1306386.617054, norm of subgrad 1143.505408 dualbound = 3760535.617054, lowerbound=1306386.617054, norm of subgrad 35.370903 stepsize= 1.000000
+dualbound = 3760584.333970, lowerbound=1309149.333970, norm of subgrad 1144.711026 dualbound = 3760584.333970, lowerbound=1309149.333970, norm of subgrad 35.534728 stepsize= 1.000000
+dualbound = 3760656.336092, lowerbound=1309563.336092, norm of subgrad 1144.880053 dualbound = 3760656.336092, lowerbound=1309563.336092, norm of subgrad 35.482420 stepsize= 1.000000
+dualbound = 3760721.602926, lowerbound=1312350.602926, norm of subgrad 1146.094500 dualbound = 3760721.602926, lowerbound=1312350.602926, norm of subgrad 35.316665 stepsize= 1.000000
+dualbound = 3760787.062963, lowerbound=1308896.062963, norm of subgrad 1144.577242 dualbound = 3760787.062963, lowerbound=1308896.062963, norm of subgrad 35.020851 stepsize= 1.000000
+dualbound = 3760837.384865, lowerbound=1307185.384865, norm of subgrad 1143.838881 dualbound = 3760837.384865, lowerbound=1307185.384865, norm of subgrad 35.104443 stepsize= 1.000000
+dualbound = 3760905.077374, lowerbound=1304716.077374, norm of subgrad 1142.763351 dualbound = 3760905.077374, lowerbound=1304716.077374, norm of subgrad 35.492147 stepsize= 1.000000
+dualbound = 3760945.400137, lowerbound=1308201.400137, norm of subgrad 1144.289474 dualbound = 3760945.400137, lowerbound=1308201.400137, norm of subgrad 35.175599 stepsize= 1.000000
+dualbound = 3761011.730841, lowerbound=1307576.730841, norm of subgrad 1144.005127 dualbound = 3761011.730841, lowerbound=1307576.730841, norm of subgrad 35.175712 stepsize= 1.000000
+dualbound = 3761073.267148, lowerbound=1306461.267148, norm of subgrad 1143.536299 dualbound = 3761073.267148, lowerbound=1306461.267148, norm of subgrad 35.714651 stepsize= 1.000000
+dualbound = 3761131.307848, lowerbound=1305143.307848, norm of subgrad 1142.900393 dualbound = 3761131.307848, lowerbound=1305143.307848, norm of subgrad 33.705203 stepsize= 1.000000
+dualbound = 3761217.758722, lowerbound=1312796.758722, norm of subgrad 1146.250304 dualbound = 3761217.758722, lowerbound=1312796.758722, norm of subgrad 34.343134 stepsize= 1.000000
+dualbound = 3761259.408176, lowerbound=1306429.408176, norm of subgrad 1143.480393 dualbound = 3761259.408176, lowerbound=1306429.408176, norm of subgrad 34.053626 stepsize= 1.000000
+dualbound = 3761311.542732, lowerbound=1303472.542732, norm of subgrad 1142.211251 dualbound = 3761311.542732, lowerbound=1303472.542732, norm of subgrad 35.016204 stepsize= 1.000000
+dualbound = 3761369.425489, lowerbound=1308267.425489, norm of subgrad 1144.323567 dualbound = 3761369.425489, lowerbound=1308267.425489, norm of subgrad 35.593297 stepsize= 1.000000
+dualbound = 3761413.281443, lowerbound=1304439.281443, norm of subgrad 1142.644862 dualbound = 3761413.281443, lowerbound=1304439.281443, norm of subgrad 35.239977 stepsize= 1.000000
+dualbound = 3761479.355920, lowerbound=1309801.355920, norm of subgrad 1144.982688 dualbound = 3761479.355920, lowerbound=1309801.355920, norm of subgrad 35.356392 stepsize= 1.000000
+dualbound = 3761524.671515, lowerbound=1306823.671515, norm of subgrad 1143.675947 dualbound = 3761524.671515, lowerbound=1306823.671515, norm of subgrad 34.875716 stepsize= 1.000000
+dualbound = 3761607.005252, lowerbound=1305038.005252, norm of subgrad 1142.891073 dualbound = 3761607.005252, lowerbound=1305038.005252, norm of subgrad 35.275115 stepsize= 1.000000
+dualbound = 3761642.474819, lowerbound=1310986.474819, norm of subgrad 1145.499662 dualbound = 3761642.474819, lowerbound=1310986.474819, norm of subgrad 34.906583 stepsize= 1.000000
+dualbound = 3761723.630318, lowerbound=1305995.630318, norm of subgrad 1143.292014 dualbound = 3761723.630318, lowerbound=1305995.630318, norm of subgrad 34.672114 stepsize= 1.000000
+dualbound = 3761767.227018, lowerbound=1311924.227018, norm of subgrad 1145.922435 dualbound = 3761767.227018, lowerbound=1311924.227018, norm of subgrad 35.462610 stepsize= 1.000000
+dualbound = 3761822.811569, lowerbound=1311718.811569, norm of subgrad 1145.794402 dualbound = 3761822.811569, lowerbound=1311718.811569, norm of subgrad 34.374184 stepsize= 1.000000
+dualbound = 3761896.498494, lowerbound=1306347.498494, norm of subgrad 1143.461192 dualbound = 3761896.498494, lowerbound=1306347.498494, norm of subgrad 35.066892 stepsize= 1.000000
+dualbound = 3761966.103854, lowerbound=1305453.103854, norm of subgrad 1143.045101 dualbound = 3761966.103854, lowerbound=1305453.103854, norm of subgrad 34.184870 stepsize= 1.000000
+dualbound = 3762041.040916, lowerbound=1308045.040916, norm of subgrad 1144.186192 dualbound = 3762041.040916, lowerbound=1308045.040916, norm of subgrad 34.524442 stepsize= 1.000000
+dualbound = 3762078.775212, lowerbound=1305784.775212, norm of subgrad 1143.212043 dualbound = 3762078.775212, lowerbound=1305784.775212, norm of subgrad 34.449010 stepsize= 1.000000
+dualbound = 3762142.826268, lowerbound=1310437.826268, norm of subgrad 1145.255791 dualbound = 3762142.826268, lowerbound=1310437.826268, norm of subgrad 35.171737 stepsize= 1.000000
+dualbound = 3762189.572329, lowerbound=1303821.572329, norm of subgrad 1142.361402 dualbound = 3762189.572329, lowerbound=1303821.572329, norm of subgrad 34.853207 stepsize= 1.000000
+dualbound = 3762256.060903, lowerbound=1312203.060903, norm of subgrad 1146.020532 dualbound = 3762256.060903, lowerbound=1312203.060903, norm of subgrad 35.021259 stepsize= 1.000000
+dualbound = 3762306.602561, lowerbound=1307191.602561, norm of subgrad 1143.851652 dualbound = 3762306.602561, lowerbound=1307191.602561, norm of subgrad 35.433623 stepsize= 1.000000
+dualbound = 3762349.873526, lowerbound=1307676.873526, norm of subgrad 1144.049769 dualbound = 3762349.873526, lowerbound=1307676.873526, norm of subgrad 34.875077 stepsize= 1.000000
+dualbound = 3762420.362034, lowerbound=1308546.362034, norm of subgrad 1144.438011 dualbound = 3762420.362034, lowerbound=1308546.362034, norm of subgrad 35.531514 stepsize= 1.000000
+dualbound = 3762459.350175, lowerbound=1303103.350175, norm of subgrad 1142.052692 dualbound = 3762459.350175, lowerbound=1303103.350175, norm of subgrad 34.928329 stepsize= 1.000000
+dualbound = 3762534.186340, lowerbound=1305207.186340, norm of subgrad 1142.988708 dualbound = 3762534.186340, lowerbound=1305207.186340, norm of subgrad 35.928208 stepsize= 1.000000
+dualbound = 3762587.979378, lowerbound=1302602.979378, norm of subgrad 1141.840172 dualbound = 3762587.979378, lowerbound=1302602.979378, norm of subgrad 35.352412 stepsize= 1.000000
+dualbound = 3762651.117123, lowerbound=1311917.117123, norm of subgrad 1145.889226 dualbound = 3762651.117123, lowerbound=1311917.117123, norm of subgrad 34.758276 stepsize= 1.000000
+dualbound = 3762701.351205, lowerbound=1308519.351205, norm of subgrad 1144.425337 dualbound = 3762701.351205, lowerbound=1308519.351205, norm of subgrad 35.216957 stepsize= 1.000000
+dualbound = 3762767.163815, lowerbound=1312355.163815, norm of subgrad 1146.077730 dualbound = 3762767.163815, lowerbound=1312355.163815, norm of subgrad 34.710411 stepsize= 1.000000
+dualbound = 3762838.625595, lowerbound=1307795.625595, norm of subgrad 1144.085935 dualbound = 3762838.625595, lowerbound=1307795.625595, norm of subgrad 34.762937 stepsize= 1.000000
+dualbound = 3762898.449611, lowerbound=1311057.449611, norm of subgrad 1145.527586 dualbound = 3762898.449611, lowerbound=1311057.449611, norm of subgrad 35.154289 stepsize= 1.000000
+dualbound = 3762932.272401, lowerbound=1310671.272401, norm of subgrad 1145.354649 dualbound = 3762932.272401, lowerbound=1310671.272401, norm of subgrad 34.638458 stepsize= 1.000000
+dualbound = 3762993.300033, lowerbound=1306368.300033, norm of subgrad 1143.486030 dualbound = 3762993.300033, lowerbound=1306368.300033, norm of subgrad 35.398130 stepsize= 1.000000
+dualbound = 3763050.488439, lowerbound=1302551.488439, norm of subgrad 1141.838206 dualbound = 3763050.488439, lowerbound=1302551.488439, norm of subgrad 36.058125 stepsize= 1.000000
+dualbound = 3763100.663246, lowerbound=1310754.663246, norm of subgrad 1145.398474 dualbound = 3763100.663246, lowerbound=1310754.663246, norm of subgrad 35.116589 stepsize= 1.000000
+dualbound = 3763167.480248, lowerbound=1311560.480248, norm of subgrad 1145.741018 dualbound = 3763167.480248, lowerbound=1311560.480248, norm of subgrad 35.054486 stepsize= 1.000000
+dualbound = 3763243.680280, lowerbound=1306898.680280, norm of subgrad 1143.708739 dualbound = 3763243.680280, lowerbound=1306898.680280, norm of subgrad 35.315719 stepsize= 1.000000
+dualbound = 3763275.266770, lowerbound=1310804.266770, norm of subgrad 1145.448500 dualbound = 3763275.266770, lowerbound=1310804.266770, norm of subgrad 35.771308 stepsize= 1.000000
+dualbound = 3763339.359796, lowerbound=1311193.359796, norm of subgrad 1145.600000 dualbound = 3763339.359796, lowerbound=1311193.359796, norm of subgrad 35.638365 stepsize= 1.000000
+dualbound = 3763389.618131, lowerbound=1306874.618131, norm of subgrad 1143.661496 dualbound = 3763389.618131, lowerbound=1306874.618131, norm of subgrad 33.723261 stepsize= 1.000000
+dualbound = 3763480.633157, lowerbound=1312359.633157, norm of subgrad 1146.074881 dualbound = 3763480.633157, lowerbound=1312359.633157, norm of subgrad 34.914396 stepsize= 1.000000
+dualbound = 3763523.538681, lowerbound=1304269.538681, norm of subgrad 1142.550016 dualbound = 3763523.538681, lowerbound=1304269.538681, norm of subgrad 34.552938 stepsize= 1.000000
+dualbound = 3763582.541413, lowerbound=1312304.541413, norm of subgrad 1146.101017 dualbound = 3763582.541413, lowerbound=1312304.541413, norm of subgrad 36.083275 stepsize= 1.000000
+dualbound = 3763614.887618, lowerbound=1301993.887618, norm of subgrad 1141.572112 dualbound = 3763614.887618, lowerbound=1301993.887618, norm of subgrad 35.004945 stepsize= 1.000000
+dualbound = 3763693.963456, lowerbound=1306799.963456, norm of subgrad 1143.652029 dualbound = 3763693.963456, lowerbound=1306799.963456, norm of subgrad 34.915267 stepsize= 1.000000
+dualbound = 3763764.205825, lowerbound=1302330.205825, norm of subgrad 1141.710211 dualbound = 3763764.205825, lowerbound=1302330.205825, norm of subgrad 35.245459 stepsize= 1.000000
+dualbound = 3763812.594396, lowerbound=1311548.594396, norm of subgrad 1145.740195 dualbound = 3763812.594396, lowerbound=1311548.594396, norm of subgrad 34.934060 stepsize= 1.000000
+dualbound = 3763876.380022, lowerbound=1309093.380022, norm of subgrad 1144.645963 dualbound = 3763876.380022, lowerbound=1309093.380022, norm of subgrad 34.420715 stepsize= 1.000000
+dualbound = 3763954.064905, lowerbound=1310698.064905, norm of subgrad 1145.363726 dualbound = 3763954.064905, lowerbound=1310698.064905, norm of subgrad 35.180746 stepsize= 1.000000
+dualbound = 3763980.645079, lowerbound=1303005.645079, norm of subgrad 1142.010352 dualbound = 3763980.645079, lowerbound=1303005.645079, norm of subgrad 34.764640 stepsize= 1.000000
+dualbound = 3764062.156501, lowerbound=1305907.156501, norm of subgrad 1143.258132 dualbound = 3764062.156501, lowerbound=1305907.156501, norm of subgrad 34.835491 stepsize= 1.000000
+dualbound = 3764111.492034, lowerbound=1306051.492034, norm of subgrad 1143.319506 dualbound = 3764111.492034, lowerbound=1306051.492034, norm of subgrad 34.312323 stepsize= 1.000000
+dualbound = 3764197.503445, lowerbound=1310819.503445, norm of subgrad 1145.395348 dualbound = 3764197.503445, lowerbound=1310819.503445, norm of subgrad 34.597853 stepsize= 1.000000
+dualbound = 3764231.255185, lowerbound=1312024.255185, norm of subgrad 1145.949499 dualbound = 3764231.255185, lowerbound=1312024.255185, norm of subgrad 34.781486 stepsize= 1.000000
+dualbound = 3764308.742136, lowerbound=1312089.742136, norm of subgrad 1145.964547 dualbound = 3764308.742136, lowerbound=1312089.742136, norm of subgrad 34.964081 stepsize= 1.000000
+dualbound = 3764339.938127, lowerbound=1306383.938127, norm of subgrad 1143.477563 dualbound = 3764339.938127, lowerbound=1306383.938127, norm of subgrad 34.470219 stepsize= 1.000000
+dualbound = 3764424.959514, lowerbound=1311056.959514, norm of subgrad 1145.529554 dualbound = 3764424.959514, lowerbound=1311056.959514, norm of subgrad 35.581194 stepsize= 1.000000
+dualbound = 3764444.380145, lowerbound=1305591.380145, norm of subgrad 1143.129643 dualbound = 3764444.380145, lowerbound=1305591.380145, norm of subgrad 34.255228 stepsize= 1.000000
+dualbound = 3764548.398556, lowerbound=1311882.398556, norm of subgrad 1145.853568 dualbound = 3764548.398556, lowerbound=1311882.398556, norm of subgrad 34.670137 stepsize= 1.000000
+dualbound = 3764564.963083, lowerbound=1308283.963083, norm of subgrad 1144.343901 dualbound = 3764564.963083, lowerbound=1308283.963083, norm of subgrad 35.433946 stepsize= 1.000000
+dualbound = 3764636.029300, lowerbound=1303181.029300, norm of subgrad 1142.099833 dualbound = 3764636.029300, lowerbound=1303181.029300, norm of subgrad 35.805952 stepsize= 1.000000
+dualbound = 3764683.312748, lowerbound=1317669.312748, norm of subgrad 1148.414695 dualbound = 3764683.312748, lowerbound=1317669.312748, norm of subgrad 35.132370 stepsize= 1.000000
+dualbound = 3764761.734428, lowerbound=1307291.734428, norm of subgrad 1143.921647 dualbound = 3764761.734428, lowerbound=1307291.734428, norm of subgrad 36.652717 stepsize= 1.000000
+dualbound = 3764752.026561, lowerbound=1306103.026561, norm of subgrad 1143.394957 dualbound = 3764752.026561, lowerbound=1306103.026561, norm of subgrad 35.203581 stepsize= 1.000000
+dualbound = 3764855.123690, lowerbound=1308940.123690, norm of subgrad 1144.616147 dualbound = 3764855.123690, lowerbound=1308940.123690, norm of subgrad 36.181447 stepsize= 1.000000
+dualbound = 3764915.522379, lowerbound=1308818.522379, norm of subgrad 1144.542495 dualbound = 3764915.522379, lowerbound=1308818.522379, norm of subgrad 34.919890 stepsize= 1.000000
+dualbound = 3764993.349272, lowerbound=1307325.349272, norm of subgrad 1143.905306 dualbound = 3764993.349272, lowerbound=1307325.349272, norm of subgrad 35.662682 stepsize= 1.000000
+dualbound = 3765044.634608, lowerbound=1312142.634608, norm of subgrad 1145.992860 dualbound = 3765044.634608, lowerbound=1312142.634608, norm of subgrad 34.760399 stepsize= 1.000000
+dualbound = 3765122.243784, lowerbound=1310273.243784, norm of subgrad 1145.166907 dualbound = 3765122.243784, lowerbound=1310273.243784, norm of subgrad 34.808177 stepsize= 1.000000
+dualbound = 3765150.685220, lowerbound=1304564.685220, norm of subgrad 1142.701048 dualbound = 3765150.685220, lowerbound=1304564.685220, norm of subgrad 35.063392 stepsize= 1.000000
+dualbound = 3765214.028483, lowerbound=1307647.028483, norm of subgrad 1144.041096 dualbound = 3765214.028483, lowerbound=1307647.028483, norm of subgrad 35.303587 stepsize= 1.000000
+dualbound = 3765242.881654, lowerbound=1312850.881654, norm of subgrad 1146.321893 dualbound = 3765242.881654, lowerbound=1312850.881654, norm of subgrad 35.097766 stepsize= 1.000000
+dualbound = 3765337.030410, lowerbound=1305940.030410, norm of subgrad 1143.300061 dualbound = 3765337.030410, lowerbound=1305940.030410, norm of subgrad 35.904718 stepsize= 1.000000
+dualbound = 3765355.111993, lowerbound=1310052.111993, norm of subgrad 1145.101354 dualbound = 3765355.111993, lowerbound=1310052.111993, norm of subgrad 34.972583 stepsize= 1.000000
+dualbound = 3765470.516516, lowerbound=1307778.516516, norm of subgrad 1144.038250 dualbound = 3765470.516516, lowerbound=1307778.516516, norm of subgrad 34.064711 stepsize= 1.000000
+dualbound = 3765527.123676, lowerbound=1309378.123676, norm of subgrad 1144.751119 dualbound = 3765527.123676, lowerbound=1309378.123676, norm of subgrad 33.669083 stepsize= 1.000000
+dualbound = 3765589.560858, lowerbound=1303021.560858, norm of subgrad 1141.986673 dualbound = 3765589.560858, lowerbound=1303021.560858, norm of subgrad 34.270062 stepsize= 1.000000
+dualbound = 3765621.547700, lowerbound=1312078.547700, norm of subgrad 1145.952245 dualbound = 3765621.547700, lowerbound=1312078.547700, norm of subgrad 34.058580 stepsize= 1.000000
+dualbound = 3765692.988086, lowerbound=1306070.988086, norm of subgrad 1143.334591 dualbound = 3765692.988086, lowerbound=1306070.988086, norm of subgrad 34.848822 stepsize= 1.000000
+dualbound = 3765718.786433, lowerbound=1308890.786433, norm of subgrad 1144.594595 dualbound = 3765718.786433, lowerbound=1308890.786433, norm of subgrad 35.096985 stepsize= 1.000000
+dualbound = 3765788.066670, lowerbound=1308186.066670, norm of subgrad 1144.287580 dualbound = 3765788.066670, lowerbound=1308186.066670, norm of subgrad 35.739058 stepsize= 1.000000
+dualbound = 3765813.152311, lowerbound=1304557.152311, norm of subgrad 1142.733631 dualbound = 3765813.152311, lowerbound=1304557.152311, norm of subgrad 36.167467 stepsize= 1.000000
+dualbound = 3765891.623358, lowerbound=1311286.623358, norm of subgrad 1145.628484 dualbound = 3765891.623358, lowerbound=1311286.623358, norm of subgrad 35.446735 stepsize= 1.000000
+dualbound = 3765975.385582, lowerbound=1310833.385582, norm of subgrad 1145.435893 dualbound = 3765975.385582, lowerbound=1310833.385582, norm of subgrad 35.689806 stepsize= 1.000000
+dualbound = 3766034.391152, lowerbound=1305129.391152, norm of subgrad 1142.947676 dualbound = 3766034.391152, lowerbound=1305129.391152, norm of subgrad 35.482468 stepsize= 1.000000
+dualbound = 3766074.011011, lowerbound=1308381.011011, norm of subgrad 1144.387614 dualbound = 3766074.011011, lowerbound=1308381.011011, norm of subgrad 35.799719 stepsize= 1.000000
+dualbound = 3766143.139648, lowerbound=1305230.139648, norm of subgrad 1142.996124 dualbound = 3766143.139648, lowerbound=1305230.139648, norm of subgrad 35.764908 stepsize= 1.000000
+dualbound = 3766177.841886, lowerbound=1309172.841886, norm of subgrad 1144.727846 dualbound = 3766177.841886, lowerbound=1309172.841886, norm of subgrad 35.548590 stepsize= 1.000000
+dualbound = 3766233.344075, lowerbound=1312910.344075, norm of subgrad 1146.360041 dualbound = 3766233.344075, lowerbound=1312910.344075, norm of subgrad 35.867843 stepsize= 1.000000
+dualbound = 3766304.297581, lowerbound=1305449.297581, norm of subgrad 1143.100738 dualbound = 3766304.297581, lowerbound=1305449.297581, norm of subgrad 36.068733 stepsize= 1.000000
+dualbound = 3766375.532521, lowerbound=1311341.532521, norm of subgrad 1145.655940 dualbound = 3766375.532521, lowerbound=1311341.532521, norm of subgrad 35.457509 stepsize= 1.000000
+dualbound = 3766434.293929, lowerbound=1306268.293929, norm of subgrad 1143.412128 dualbound = 3766434.293929, lowerbound=1306268.293929, norm of subgrad 34.376757 stepsize= 1.000000
+dualbound = 3766487.905332, lowerbound=1305223.905332, norm of subgrad 1142.994272 dualbound = 3766487.905332, lowerbound=1305223.905332, norm of subgrad 35.575433 stepsize= 1.000000
+dualbound = 3766543.491966, lowerbound=1308695.491966, norm of subgrad 1144.506222 dualbound = 3766543.491966, lowerbound=1308695.491966, norm of subgrad 35.420144 stepsize= 1.000000
+dualbound = 3766585.451854, lowerbound=1310832.451854, norm of subgrad 1145.415842 dualbound = 3766585.451854, lowerbound=1310832.451854, norm of subgrad 34.452284 stepsize= 1.000000
+dualbound = 3766678.635360, lowerbound=1310117.635360, norm of subgrad 1145.122542 dualbound = 3766678.635360, lowerbound=1310117.635360, norm of subgrad 35.793624 stepsize= 1.000000
+dualbound = 3766723.664301, lowerbound=1305069.664301, norm of subgrad 1142.913236 dualbound = 3766723.664301, lowerbound=1305069.664301, norm of subgrad 35.014696 stepsize= 1.000000
+dualbound = 3766774.670428, lowerbound=1311443.670428, norm of subgrad 1145.694405 dualbound = 3766774.670428, lowerbound=1311443.670428, norm of subgrad 34.971505 stepsize= 1.000000
+dualbound = 3766843.394129, lowerbound=1306063.394129, norm of subgrad 1143.339580 dualbound = 3766843.394129, lowerbound=1306063.394129, norm of subgrad 35.081672 stepsize= 1.000000
+dualbound = 3766891.661040, lowerbound=1311185.661040, norm of subgrad 1145.590966 dualbound = 3766891.661040, lowerbound=1311185.661040, norm of subgrad 35.231618 stepsize= 1.000000
+dualbound = 3766957.601762, lowerbound=1304842.601763, norm of subgrad 1142.822209 dualbound = 3766957.601762, lowerbound=1304842.601763, norm of subgrad 35.580061 stepsize= 1.000000
+dualbound = 3767014.762338, lowerbound=1311135.762338, norm of subgrad 1145.547800 dualbound = 3767014.762338, lowerbound=1311135.762338, norm of subgrad 34.657764 stepsize= 1.000000
+dualbound = 3767072.624652, lowerbound=1304633.624652, norm of subgrad 1142.715898 dualbound = 3767072.624652, lowerbound=1304633.624652, norm of subgrad 34.983744 stepsize= 1.000000
+dualbound = 3767150.831627, lowerbound=1312336.831627, norm of subgrad 1146.074095 dualbound = 3767150.831627, lowerbound=1312336.831627, norm of subgrad 35.031514 stepsize= 1.000000
+dualbound = 3767173.323452, lowerbound=1306620.323452, norm of subgrad 1143.574800 dualbound = 3767173.323452, lowerbound=1306620.323452, norm of subgrad 34.139300 stepsize= 1.000000
+dualbound = 3767248.971807, lowerbound=1307459.971807, norm of subgrad 1143.944042 dualbound = 3767248.971807, lowerbound=1307459.971807, norm of subgrad 34.980685 stepsize= 1.000000
+dualbound = 3767306.634387, lowerbound=1302171.634387, norm of subgrad 1141.662662 dualbound = 3767306.634387, lowerbound=1302171.634387, norm of subgrad 35.772372 stepsize= 1.000000
+dualbound = 3767350.845899, lowerbound=1309613.845899, norm of subgrad 1144.900365 dualbound = 3767350.845899, lowerbound=1309613.845899, norm of subgrad 35.031579 stepsize= 1.000000
+dualbound = 3767419.432467, lowerbound=1311643.432467, norm of subgrad 1145.814310 dualbound = 3767419.432467, lowerbound=1311643.432467, norm of subgrad 36.271016 stepsize= 1.000000
+dualbound = 3767501.662407, lowerbound=1311220.662407, norm of subgrad 1145.592276 dualbound = 3767501.662407, lowerbound=1311220.662407, norm of subgrad 35.259466 stepsize= 1.000000
+dualbound = 3767537.445072, lowerbound=1309234.445072, norm of subgrad 1144.732041 dualbound = 3767537.445072, lowerbound=1309234.445072, norm of subgrad 34.825029 stepsize= 1.000000
+dualbound = 3767621.349116, lowerbound=1304174.349116, norm of subgrad 1142.512735 dualbound = 3767621.349116, lowerbound=1304174.349116, norm of subgrad 35.283198 stepsize= 1.000000
+dualbound = 3767645.521349, lowerbound=1311712.521349, norm of subgrad 1145.818712 dualbound = 3767645.521349, lowerbound=1311712.521349, norm of subgrad 34.816264 stepsize= 1.000000
+dualbound = 3767738.106737, lowerbound=1308380.106737, norm of subgrad 1144.360130 dualbound = 3767738.106737, lowerbound=1308380.106737, norm of subgrad 35.673315 stepsize= 1.000000
+dualbound = 3767760.715443, lowerbound=1305539.715443, norm of subgrad 1143.103983 dualbound = 3767760.715443, lowerbound=1305539.715443, norm of subgrad 34.199542 stepsize= 1.000000
+dualbound = 3767865.954018, lowerbound=1307749.954018, norm of subgrad 1144.038878 dualbound = 3767865.954018, lowerbound=1307749.954018, norm of subgrad 34.354600 stepsize= 1.000000
+dualbound = 3767912.793922, lowerbound=1313226.793922, norm of subgrad 1146.474943 dualbound = 3767912.793922, lowerbound=1313226.793922, norm of subgrad 34.997713 stepsize= 1.000000
+dualbound = 3767959.577905, lowerbound=1311696.577905, norm of subgrad 1145.793427 dualbound = 3767959.577905, lowerbound=1311696.577905, norm of subgrad 34.536705 stepsize= 1.000000
+dualbound = 3768026.985324, lowerbound=1306917.985324, norm of subgrad 1143.682205 dualbound = 3768026.985324, lowerbound=1306917.985324, norm of subgrad 34.035385 stepsize= 1.000000
+dualbound = 3768106.105290, lowerbound=1308685.105290, norm of subgrad 1144.442268 dualbound = 3768106.105290, lowerbound=1308685.105290, norm of subgrad 33.795265 stepsize= 1.000000
+dualbound = 3768139.543169, lowerbound=1307180.543169, norm of subgrad 1143.824525 dualbound = 3768139.543169, lowerbound=1307180.543169, norm of subgrad 34.459221 stepsize= 1.000000
+dualbound = 3768208.769210, lowerbound=1314769.769210, norm of subgrad 1147.138514 dualbound = 3768208.769210, lowerbound=1314769.769210, norm of subgrad 35.017510 stepsize= 1.000000
+dualbound = 3768245.093470, lowerbound=1303751.093470, norm of subgrad 1142.310857 dualbound = 3768245.093470, lowerbound=1303751.093470, norm of subgrad 34.048851 stepsize= 1.000000
+dualbound = 3768293.874744, lowerbound=1307529.874744, norm of subgrad 1143.971536 dualbound = 3768293.874744, lowerbound=1307529.874744, norm of subgrad 34.493206 stepsize= 1.000000
+dualbound = 3768378.896362, lowerbound=1309617.896362, norm of subgrad 1144.896457 dualbound = 3768378.896362, lowerbound=1309617.896362, norm of subgrad 35.426284 stepsize= 1.000000
+dualbound = 3768429.294258, lowerbound=1308093.294258, norm of subgrad 1144.222572 dualbound = 3768429.294258, lowerbound=1308093.294258, norm of subgrad 34.675610 stepsize= 1.000000
+dualbound = 3768484.681673, lowerbound=1311318.681673, norm of subgrad 1145.627200 dualbound = 3768484.681673, lowerbound=1311318.681673, norm of subgrad 34.617733 stepsize= 1.000000
+dualbound = 3768556.805518, lowerbound=1312829.805518, norm of subgrad 1146.267772 dualbound = 3768556.805518, lowerbound=1312829.805518, norm of subgrad 34.236294 stepsize= 1.000000
+dualbound = 3768626.300740, lowerbound=1312692.300740, norm of subgrad 1146.202993 dualbound = 3768626.300740, lowerbound=1312692.300740, norm of subgrad 34.036675 stepsize= 1.000000
+dualbound = 3768669.475190, lowerbound=1307220.475190, norm of subgrad 1143.858153 dualbound = 3768669.475190, lowerbound=1307220.475190, norm of subgrad 35.130819 stepsize= 1.000000
+dualbound = 3768724.601587, lowerbound=1308318.601587, norm of subgrad 1144.317963 dualbound = 3768724.601587, lowerbound=1308318.601587, norm of subgrad 34.642840 stepsize= 1.000000
+dualbound = 3768771.256978, lowerbound=1314612.256978, norm of subgrad 1147.073780 dualbound = 3768771.256978, lowerbound=1314612.256978, norm of subgrad 34.823202 stepsize= 1.000000
+dualbound = 3768842.942978, lowerbound=1303863.942978, norm of subgrad 1142.391764 dualbound = 3768842.942978, lowerbound=1303863.942978, norm of subgrad 35.590532 stepsize= 1.000000
+dualbound = 3768860.101860, lowerbound=1317165.101860, norm of subgrad 1148.206907 dualbound = 3768860.101860, lowerbound=1317165.101860, norm of subgrad 35.087874 stepsize= 1.000000
+dualbound = 3768929.424741, lowerbound=1304236.424741, norm of subgrad 1142.554342 dualbound = 3768929.424741, lowerbound=1304236.424741, norm of subgrad 35.543254 stepsize= 1.000000
+dualbound = 3769004.429057, lowerbound=1312132.429057, norm of subgrad 1145.977936 dualbound = 3769004.429057, lowerbound=1312132.429057, norm of subgrad 34.756356 stepsize= 1.000000
+dualbound = 3769065.998909, lowerbound=1306709.998909, norm of subgrad 1143.633245 dualbound = 3769065.998909, lowerbound=1306709.998909, norm of subgrad 35.335108 stepsize= 1.000000
+dualbound = 3769093.064965, lowerbound=1311260.064965, norm of subgrad 1145.631295 dualbound = 3769093.064965, lowerbound=1311260.064965, norm of subgrad 35.186163 stepsize= 1.000000
+dualbound = 3769170.140093, lowerbound=1305964.140093, norm of subgrad 1143.296611 dualbound = 3769170.140093, lowerbound=1305964.140093, norm of subgrad 35.214700 stepsize= 1.000000
+dualbound = 3769209.413515, lowerbound=1307724.413515, norm of subgrad 1144.071420 dualbound = 3769209.413515, lowerbound=1307724.413515, norm of subgrad 34.846426 stepsize= 1.000000
+dualbound = 3769287.947497, lowerbound=1309889.947497, norm of subgrad 1144.997357 dualbound = 3769287.947497, lowerbound=1309889.947497, norm of subgrad 34.749590 stepsize= 1.000000
+dualbound = 3769342.360227, lowerbound=1308792.360227, norm of subgrad 1144.528008 dualbound = 3769342.360227, lowerbound=1308792.360227, norm of subgrad 34.733453 stepsize= 1.000000
+dualbound = 3769420.767575, lowerbound=1307590.767575, norm of subgrad 1143.978482 dualbound = 3769420.767575, lowerbound=1307590.767575, norm of subgrad 34.269627 stepsize= 1.000000
+dualbound = 3769462.159379, lowerbound=1310718.159379, norm of subgrad 1145.355036 dualbound = 3769462.159379, lowerbound=1310718.159379, norm of subgrad 34.079199 stepsize= 1.000000
+dualbound = 3769542.011906, lowerbound=1303694.011906, norm of subgrad 1142.293750 dualbound = 3769542.011906, lowerbound=1303694.011906, norm of subgrad 34.940700 stepsize= 1.000000
+dualbound = 3769563.568398, lowerbound=1315193.568398, norm of subgrad 1147.300557 dualbound = 3769563.568398, lowerbound=1315193.568398, norm of subgrad 33.564214 stepsize= 1.000000
+dualbound = 3769644.174472, lowerbound=1305228.174472, norm of subgrad 1142.968142 dualbound = 3769644.174472, lowerbound=1305228.174472, norm of subgrad 35.051477 stepsize= 1.000000
+dualbound = 3769695.085331, lowerbound=1311884.085331, norm of subgrad 1145.869576 dualbound = 3769695.085331, lowerbound=1311884.085331, norm of subgrad 34.408006 stepsize= 1.000000
+dualbound = 3769745.093087, lowerbound=1307267.093087, norm of subgrad 1143.885524 dualbound = 3769745.093087, lowerbound=1307267.093087, norm of subgrad 35.454305 stepsize= 1.000000
+dualbound = 3769772.406578, lowerbound=1309456.406578, norm of subgrad 1144.839031 dualbound = 3769772.406578, lowerbound=1309456.406578, norm of subgrad 35.033034 stepsize= 1.000000
+dualbound = 3769861.219383, lowerbound=1306377.219383, norm of subgrad 1143.475063 dualbound = 3769861.219383, lowerbound=1306377.219383, norm of subgrad 35.310237 stepsize= 1.000000
+dualbound = 3769918.309656, lowerbound=1312522.309656, norm of subgrad 1146.168971 dualbound = 3769918.309656, lowerbound=1312522.309656, norm of subgrad 35.186507 stepsize= 1.000000
+dualbound = 3769994.530690, lowerbound=1310638.530690, norm of subgrad 1145.336427 dualbound = 3769994.530690, lowerbound=1310638.530690, norm of subgrad 35.117247 stepsize= 1.000000
+dualbound = 3770041.472704, lowerbound=1309947.472704, norm of subgrad 1145.041254 dualbound = 3770041.472704, lowerbound=1309947.472704, norm of subgrad 34.913350 stepsize= 1.000000
+dualbound = 3770099.865066, lowerbound=1310474.865066, norm of subgrad 1145.272834 dualbound = 3770099.865066, lowerbound=1310474.865066, norm of subgrad 35.119686 stepsize= 1.000000
+dualbound = 3770163.480229, lowerbound=1309116.480229, norm of subgrad 1144.682698 dualbound = 3770163.480229, lowerbound=1309116.480229, norm of subgrad 35.293274 stepsize= 1.000000
+dualbound = 3770211.794175, lowerbound=1311604.794175, norm of subgrad 1145.777812 dualbound = 3770211.794175, lowerbound=1311604.794175, norm of subgrad 35.359779 stepsize= 1.000000
+dualbound = 3770279.678111, lowerbound=1304169.678111, norm of subgrad 1142.511566 dualbound = 3770279.678111, lowerbound=1304169.678111, norm of subgrad 35.083956 stepsize= 1.000000
+dualbound = 3770329.504622, lowerbound=1308457.504622, norm of subgrad 1144.394383 dualbound = 3770329.504622, lowerbound=1308457.504622, norm of subgrad 35.083137 stepsize= 1.000000
+dualbound = 3770384.372983, lowerbound=1308395.372983, norm of subgrad 1144.371606 dualbound = 3770384.372983, lowerbound=1308395.372983, norm of subgrad 35.296861 stepsize= 1.000000
+dualbound = 3770442.046256, lowerbound=1306172.046256, norm of subgrad 1143.387968 dualbound = 3770442.046256, lowerbound=1306172.046256, norm of subgrad 34.952443 stepsize= 1.000000
+dualbound = 3770493.131820, lowerbound=1311513.131820, norm of subgrad 1145.733011 dualbound = 3770493.131820, lowerbound=1311513.131820, norm of subgrad 35.243234 stepsize= 1.000000
+dualbound = 3770564.609523, lowerbound=1308836.609523, norm of subgrad 1144.574423 dualbound = 3770564.609523, lowerbound=1308836.609523, norm of subgrad 35.853559 stepsize= 1.000000
+dualbound = 3770608.179735, lowerbound=1310424.179735, norm of subgrad 1145.229750 dualbound = 3770608.179735, lowerbound=1310424.179735, norm of subgrad 34.213597 stepsize= 1.000000
+dualbound = 3770699.005063, lowerbound=1307229.005063, norm of subgrad 1143.833469 dualbound = 3770699.005063, lowerbound=1307229.005063, norm of subgrad 34.883023 stepsize= 1.000000
+dualbound = 3770733.773911, lowerbound=1312071.773911, norm of subgrad 1145.961070 dualbound = 3770733.773911, lowerbound=1312071.773911, norm of subgrad 34.493026 stepsize= 1.000000
+dualbound = 3770792.028421, lowerbound=1305434.028421, norm of subgrad 1143.075251 dualbound = 3770792.028421, lowerbound=1305434.028421, norm of subgrad 35.288164 stepsize= 1.000000
+dualbound = 3770835.868676, lowerbound=1313638.868676, norm of subgrad 1146.628915 dualbound = 3770835.868676, lowerbound=1313638.868676, norm of subgrad 34.100444 stepsize= 1.000000
+dualbound = 3770916.760601, lowerbound=1303766.760601, norm of subgrad 1142.304583 dualbound = 3770916.760601, lowerbound=1303766.760601, norm of subgrad 34.262106 stepsize= 1.000000
+dualbound = 3770930.551051, lowerbound=1313274.551051, norm of subgrad 1146.500131 dualbound = 3770930.551051, lowerbound=1313274.551051, norm of subgrad 34.666849 stepsize= 1.000000
+dualbound = 3771005.204923, lowerbound=1304285.204923, norm of subgrad 1142.574814 dualbound = 3771005.204923, lowerbound=1304285.204923, norm of subgrad 35.590081 stepsize= 1.000000
+dualbound = 3771075.685205, lowerbound=1311880.685205, norm of subgrad 1145.874201 dualbound = 3771075.685205, lowerbound=1311880.685205, norm of subgrad 34.892410 stepsize= 1.000000
+dualbound = 3771147.607876, lowerbound=1309401.607876, norm of subgrad 1144.755261 dualbound = 3771147.607876, lowerbound=1309401.607876, norm of subgrad 33.688613 stepsize= 1.000000
+dualbound = 3771212.614318, lowerbound=1307388.614318, norm of subgrad 1143.915475 dualbound = 3771212.614318, lowerbound=1307388.614318, norm of subgrad 34.914273 stepsize= 1.000000
+dualbound = 3771224.778802, lowerbound=1305616.778802, norm of subgrad 1143.140315 dualbound = 3771224.778802, lowerbound=1305616.778802, norm of subgrad 34.134506 stepsize= 1.000000
+dualbound = 3771324.900195, lowerbound=1301333.900195, norm of subgrad 1141.244452 dualbound = 3771324.900195, lowerbound=1301333.900195, norm of subgrad 34.714858 stepsize= 1.000000
+dualbound = 3771367.866841, lowerbound=1311843.866841, norm of subgrad 1145.847663 dualbound = 3771367.866841, lowerbound=1311843.866841, norm of subgrad 34.146254 stepsize= 1.000000
+dualbound = 3771417.275625, lowerbound=1307886.275625, norm of subgrad 1144.147401 dualbound = 3771417.275625, lowerbound=1307886.275625, norm of subgrad 35.162605 stepsize= 1.000000
+dualbound = 3771471.280555, lowerbound=1308290.280555, norm of subgrad 1144.308647 dualbound = 3771471.280555, lowerbound=1308290.280555, norm of subgrad 34.727582 stepsize= 1.000000
+dualbound = 3771540.895678, lowerbound=1312748.895678, norm of subgrad 1146.263450 dualbound = 3771540.895678, lowerbound=1312748.895678, norm of subgrad 35.222367 stepsize= 1.000000
+dualbound = 3771595.601337, lowerbound=1312230.601337, norm of subgrad 1146.017278 dualbound = 3771595.601337, lowerbound=1312230.601337, norm of subgrad 34.346844 stepsize= 1.000000
+dualbound = 3771674.368012, lowerbound=1309879.368012, norm of subgrad 1145.026798 dualbound = 3771674.368012, lowerbound=1309879.368012, norm of subgrad 35.857589 stepsize= 1.000000
+dualbound = 3771684.670451, lowerbound=1312289.670451, norm of subgrad 1146.073152 dualbound = 3771684.670451, lowerbound=1312289.670451, norm of subgrad 34.703061 stepsize= 1.000000
+dualbound = 3771777.901189, lowerbound=1303081.901189, norm of subgrad 1142.052057 dualbound = 3771777.901189, lowerbound=1303081.901189, norm of subgrad 35.975419 stepsize= 1.000000
+dualbound = 3771826.936591, lowerbound=1307340.936591, norm of subgrad 1143.882833 dualbound = 3771826.936591, lowerbound=1307340.936591, norm of subgrad 34.293373 stepsize= 1.000000
+dualbound = 3771899.782638, lowerbound=1308093.782638, norm of subgrad 1144.197877 dualbound = 3771899.782638, lowerbound=1308093.782638, norm of subgrad 34.173763 stepsize= 1.000000
+dualbound = 3771960.965753, lowerbound=1305622.965753, norm of subgrad 1143.140396 dualbound = 3771960.965753, lowerbound=1305622.965753, norm of subgrad 34.758929 stepsize= 1.000000
+dualbound = 3771989.620508, lowerbound=1310074.620508, norm of subgrad 1145.100267 dualbound = 3771989.620508, lowerbound=1310074.620508, norm of subgrad 34.765712 stepsize= 1.000000
+dualbound = 3772035.928507, lowerbound=1311666.928507, norm of subgrad 1145.810599 dualbound = 3772035.928507, lowerbound=1311666.928507, norm of subgrad 35.514898 stepsize= 1.000000
+dualbound = 3772099.249135, lowerbound=1308612.249135, norm of subgrad 1144.451069 dualbound = 3772099.249135, lowerbound=1308612.249135, norm of subgrad 34.918772 stepsize= 1.000000
+dualbound = 3772168.988724, lowerbound=1303163.988724, norm of subgrad 1142.063916 dualbound = 3772168.988724, lowerbound=1303163.988724, norm of subgrad 34.867457 stepsize= 1.000000
+dualbound = 3772236.235203, lowerbound=1309287.235203, norm of subgrad 1144.741995 dualbound = 3772236.235203, lowerbound=1309287.235203, norm of subgrad 34.846040 stepsize= 1.000000
+dualbound = 3772275.702167, lowerbound=1308835.702167, norm of subgrad 1144.543447 dualbound = 3772275.702167, lowerbound=1308835.702167, norm of subgrad 34.401555 stepsize= 1.000000
+dualbound = 3772324.627542, lowerbound=1307316.627542, norm of subgrad 1143.896249 dualbound = 3772324.627542, lowerbound=1307316.627542, norm of subgrad 35.084546 stepsize= 1.000000
+dualbound = 3772403.342932, lowerbound=1312402.342932, norm of subgrad 1146.111837 dualbound = 3772403.342932, lowerbound=1312402.342932, norm of subgrad 35.337167 stepsize= 1.000000
+dualbound = 3772445.526866, lowerbound=1306798.526866, norm of subgrad 1143.666266 dualbound = 3772445.526866, lowerbound=1306798.526866, norm of subgrad 34.873829 stepsize= 1.000000
+dualbound = 3772499.328163, lowerbound=1308165.328163, norm of subgrad 1144.279393 dualbound = 3772499.328163, lowerbound=1308165.328163, norm of subgrad 35.549983 stepsize= 1.000000
+dualbound = 3772559.352726, lowerbound=1313814.352726, norm of subgrad 1146.728108 dualbound = 3772559.352726, lowerbound=1313814.352726, norm of subgrad 35.085960 stepsize= 1.000000
+dualbound = 3772619.792120, lowerbound=1304521.792120, norm of subgrad 1142.638084 dualbound = 3772619.792120, lowerbound=1304521.792120, norm of subgrad 34.065223 stepsize= 1.000000
+dualbound = 3772699.650667, lowerbound=1307465.650667, norm of subgrad 1143.947399 dualbound = 3772699.650667, lowerbound=1307465.650667, norm of subgrad 35.069339 stepsize= 1.000000
+dualbound = 3772734.979011, lowerbound=1312223.979011, norm of subgrad 1146.024860 dualbound = 3772734.979011, lowerbound=1312223.979011, norm of subgrad 34.414072 stepsize= 1.000000
+dualbound = 3772801.818352, lowerbound=1309228.818352, norm of subgrad 1144.708617 dualbound = 3772801.818352, lowerbound=1309228.818352, norm of subgrad 34.580910 stepsize= 1.000000
+dualbound = 3772861.261939, lowerbound=1309763.261939, norm of subgrad 1144.954699 dualbound = 3772861.261939, lowerbound=1309763.261939, norm of subgrad 34.891884 stepsize= 1.000000
+dualbound = 3772924.768546, lowerbound=1309405.768546, norm of subgrad 1144.775423 dualbound = 3772924.768546, lowerbound=1309405.768546, norm of subgrad 34.183426 stepsize= 1.000000
+dualbound = 3772990.885681, lowerbound=1314536.885681, norm of subgrad 1147.036567 dualbound = 3772990.885681, lowerbound=1314536.885681, norm of subgrad 34.958792 stepsize= 1.000000
+dualbound = 3773035.533043, lowerbound=1308897.533043, norm of subgrad 1144.618510 dualbound = 3773035.533043, lowerbound=1308897.533043, norm of subgrad 36.036750 stepsize= 1.000000
+dualbound = 3773063.566450, lowerbound=1308707.566450, norm of subgrad 1144.504070 dualbound = 3773063.566450, lowerbound=1308707.566450, norm of subgrad 34.785534 stepsize= 1.000000
+dualbound = 3773165.279408, lowerbound=1307259.279408, norm of subgrad 1143.846266 dualbound = 3773165.279408, lowerbound=1307259.279408, norm of subgrad 35.024462 stepsize= 1.000000
+dualbound = 3773212.801797, lowerbound=1305832.801797, norm of subgrad 1143.239171 dualbound = 3773212.801797, lowerbound=1305832.801797, norm of subgrad 34.792562 stepsize= 1.000000
+dualbound = 3773277.787082, lowerbound=1311533.787082, norm of subgrad 1145.742025 dualbound = 3773277.787082, lowerbound=1311533.787082, norm of subgrad 35.439883 stepsize= 1.000000
+dualbound = 3773316.338003, lowerbound=1306613.338003, norm of subgrad 1143.588360 dualbound = 3773316.338003, lowerbound=1306613.338003, norm of subgrad 34.922069 stepsize= 1.000000
+dualbound = 3773414.205996, lowerbound=1313446.205996, norm of subgrad 1146.529636 dualbound = 3773414.205996, lowerbound=1313446.205996, norm of subgrad 34.378307 stepsize= 1.000000
+dualbound = 3773461.602965, lowerbound=1305666.602965, norm of subgrad 1143.165169 dualbound = 3773461.602965, lowerbound=1305666.602965, norm of subgrad 34.747618 stepsize= 1.000000
+dualbound = 3773488.127458, lowerbound=1312083.127458, norm of subgrad 1145.990457 dualbound = 3773488.127458, lowerbound=1312083.127458, norm of subgrad 35.178466 stepsize= 1.000000
+dualbound = 3773554.162937, lowerbound=1304328.162937, norm of subgrad 1142.590112 dualbound = 3773554.162937, lowerbound=1304328.162937, norm of subgrad 35.355841 stepsize= 1.000000
+dualbound = 3773607.026605, lowerbound=1307436.026605, norm of subgrad 1143.948874 dualbound = 3773607.026605, lowerbound=1307436.026605, norm of subgrad 35.154853 stepsize= 1.000000
+dualbound = 3773672.140168, lowerbound=1302466.140168, norm of subgrad 1141.765799 dualbound = 3773672.140168, lowerbound=1302466.140168, norm of subgrad 35.044451 stepsize= 1.000000
+dualbound = 3773743.435333, lowerbound=1310566.435333, norm of subgrad 1145.301897 dualbound = 3773743.435333, lowerbound=1310566.435333, norm of subgrad 34.947034 stepsize= 1.000000
+dualbound = 3773811.871711, lowerbound=1305685.871711, norm of subgrad 1143.179720 dualbound = 3773811.871711, lowerbound=1305685.871711, norm of subgrad 35.248211 stepsize= 1.000000
+dualbound = 3773853.692096, lowerbound=1309369.692096, norm of subgrad 1144.779757 dualbound = 3773853.692096, lowerbound=1309369.692096, norm of subgrad 34.537232 stepsize= 1.000000
+dualbound = 3773914.550954, lowerbound=1315628.550954, norm of subgrad 1147.511024 dualbound = 3773914.550954, lowerbound=1315628.550954, norm of subgrad 34.840477 stepsize= 1.000000
+dualbound = 3773965.931212, lowerbound=1310460.931212, norm of subgrad 1145.251471 dualbound = 3773965.931212, lowerbound=1310460.931212, norm of subgrad 34.516377 stepsize= 1.000000
+dualbound = 3774034.969401, lowerbound=1313739.969401, norm of subgrad 1146.708755 dualbound = 3774034.969401, lowerbound=1313739.969401, norm of subgrad 35.637595 stepsize= 1.000000
+dualbound = 3774050.254766, lowerbound=1308484.254766, norm of subgrad 1144.433159 dualbound = 3774050.254766, lowerbound=1308484.254766, norm of subgrad 35.472318 stepsize= 1.000000
+dualbound = 3774136.507098, lowerbound=1305457.507098, norm of subgrad 1143.040904 dualbound = 3774136.507098, lowerbound=1305457.507098, norm of subgrad 34.223564 stepsize= 1.000000
+dualbound = 3774211.160234, lowerbound=1310834.160234, norm of subgrad 1145.396508 dualbound = 3774211.160234, lowerbound=1310834.160234, norm of subgrad 34.258621 stepsize= 1.000000
+dualbound = 3774268.833275, lowerbound=1305119.833275, norm of subgrad 1142.925996 dualbound = 3774268.833275, lowerbound=1305119.833275, norm of subgrad 34.895172 stepsize= 1.000000
+dualbound = 3774311.456787, lowerbound=1311514.456787, norm of subgrad 1145.703040 dualbound = 3774311.456787, lowerbound=1311514.456787, norm of subgrad 34.111926 stepsize= 1.000000
+dualbound = 3774377.096424, lowerbound=1311577.096424, norm of subgrad 1145.747833 dualbound = 3774377.096424, lowerbound=1311577.096424, norm of subgrad 35.023416 stepsize= 1.000000
+dualbound = 3774405.062563, lowerbound=1311428.062563, norm of subgrad 1145.681047 dualbound = 3774405.062563, lowerbound=1311428.062563, norm of subgrad 34.423337 stepsize= 1.000000
+dualbound = 3774479.786164, lowerbound=1310333.786164, norm of subgrad 1145.204255 dualbound = 3774479.786164, lowerbound=1310333.786164, norm of subgrad 35.124402 stepsize= 1.000000
+dualbound = 3774548.952946, lowerbound=1309234.952946, norm of subgrad 1144.737067 dualbound = 3774548.952946, lowerbound=1309234.952946, norm of subgrad 35.456548 stepsize= 1.000000
+dualbound = 3774606.657686, lowerbound=1310391.657686, norm of subgrad 1145.226029 dualbound = 3774606.657686, lowerbound=1310391.657686, norm of subgrad 34.766431 stepsize= 1.000000
+dualbound = 3774669.201501, lowerbound=1305151.201501, norm of subgrad 1142.921783 dualbound = 3774669.201501, lowerbound=1305151.201501, norm of subgrad 34.373592 stepsize= 1.000000
+dualbound = 3774726.661188, lowerbound=1311845.661188, norm of subgrad 1145.861973 dualbound = 3774726.661188, lowerbound=1311845.661188, norm of subgrad 34.806029 stepsize= 1.000000
+dualbound = 3774783.400012, lowerbound=1307884.400012, norm of subgrad 1144.137404 dualbound = 3774783.400012, lowerbound=1307884.400012, norm of subgrad 34.967683 stepsize= 1.000000
+dualbound = 3774836.161784, lowerbound=1307609.161784, norm of subgrad 1144.042902 dualbound = 3774836.161784, lowerbound=1307609.161784, norm of subgrad 35.745794 stepsize= 1.000000
+dualbound = 3774871.583645, lowerbound=1312178.583645, norm of subgrad 1145.999818 dualbound = 3774871.583645, lowerbound=1312178.583645, norm of subgrad 34.240646 stepsize= 1.000000
+dualbound = 3774952.833729, lowerbound=1308594.833729, norm of subgrad 1144.442586 dualbound = 3774952.833729, lowerbound=1308594.833729, norm of subgrad 35.146125 stepsize= 1.000000
+dualbound = 3775009.751237, lowerbound=1304112.751237, norm of subgrad 1142.473961 dualbound = 3775009.751237, lowerbound=1304112.751237, norm of subgrad 34.509673 stepsize= 1.000000
+dualbound = 3775080.809096, lowerbound=1310362.809096, norm of subgrad 1145.226532 dualbound = 3775080.809096, lowerbound=1310362.809096, norm of subgrad 35.384430 stepsize= 1.000000
+dualbound = 3775116.242097, lowerbound=1310286.242097, norm of subgrad 1145.195722 dualbound = 3775116.242097, lowerbound=1310286.242097, norm of subgrad 34.963309 stepsize= 1.000000
+dualbound = 3775182.282593, lowerbound=1310583.282593, norm of subgrad 1145.285677 dualbound = 3775182.282593, lowerbound=1310583.282593, norm of subgrad 34.088715 stepsize= 1.000000
+dualbound = 3775252.306156, lowerbound=1308708.306156, norm of subgrad 1144.496093 dualbound = 3775252.306156, lowerbound=1308708.306156, norm of subgrad 35.114435 stepsize= 1.000000
+dualbound = 3775298.976943, lowerbound=1313293.976943, norm of subgrad 1146.499445 dualbound = 3775298.976943, lowerbound=1313293.976943, norm of subgrad 34.837778 stepsize= 1.000000
+dualbound = 3775358.284558, lowerbound=1308747.284558, norm of subgrad 1144.498704 dualbound = 3775358.284558, lowerbound=1308747.284558, norm of subgrad 34.486340 stepsize= 1.000000
+dualbound = 3775429.483312, lowerbound=1308987.483312, norm of subgrad 1144.610188 dualbound = 3775429.483312, lowerbound=1308987.483312, norm of subgrad 34.874041 stepsize= 1.000000
+dualbound = 3775459.444238, lowerbound=1311696.444238, norm of subgrad 1145.795551 dualbound = 3775459.444238, lowerbound=1311696.444238, norm of subgrad 34.365112 stepsize= 1.000000
+dualbound = 3775545.929731, lowerbound=1306412.929731, norm of subgrad 1143.484119 dualbound = 3775545.929731, lowerbound=1306412.929731, norm of subgrad 35.064020 stepsize= 1.000000
+dualbound = 3775560.964223, lowerbound=1307467.964223, norm of subgrad 1143.946224 dualbound = 3775560.964223, lowerbound=1307467.964223, norm of subgrad 34.059279 stepsize= 1.000000
+dualbound = 3775655.290565, lowerbound=1310798.290565, norm of subgrad 1145.417081 dualbound = 3775655.290565, lowerbound=1310798.290565, norm of subgrad 35.725710 stepsize= 1.000000
+dualbound = 3775687.772875, lowerbound=1310215.772875, norm of subgrad 1145.159715 dualbound = 3775687.772875, lowerbound=1310215.772875, norm of subgrad 34.748846 stepsize= 1.000000
+dualbound = 3775746.554883, lowerbound=1315053.554883, norm of subgrad 1147.273531 dualbound = 3775746.554883, lowerbound=1315053.554883, norm of subgrad 35.238927 stepsize= 1.000000
+dualbound = 3775814.657196, lowerbound=1312333.657196, norm of subgrad 1146.062240 dualbound = 3775814.657196, lowerbound=1312333.657196, norm of subgrad 34.541313 stepsize= 1.000000
+dualbound = 3775875.320155, lowerbound=1306536.320155, norm of subgrad 1143.555561 dualbound = 3775875.320155, lowerbound=1306536.320155, norm of subgrad 35.265606 stepsize= 1.000000
+dualbound = 3775935.182523, lowerbound=1304058.182523, norm of subgrad 1142.433010 dualbound = 3775935.182523, lowerbound=1304058.182523, norm of subgrad 33.983266 stepsize= 1.000000
+dualbound = 3776004.731916, lowerbound=1310544.731916, norm of subgrad 1145.287183 dualbound = 3776004.731916, lowerbound=1310544.731916, norm of subgrad 34.749811 stepsize= 1.000000
+dualbound = 3776029.451797, lowerbound=1314798.451797, norm of subgrad 1147.152759 dualbound = 3776029.451797, lowerbound=1314798.451797, norm of subgrad 34.434284 stepsize= 1.000000
+dualbound = 3776095.385813, lowerbound=1307202.385813, norm of subgrad 1143.836258 dualbound = 3776095.385813, lowerbound=1307202.385813, norm of subgrad 34.999057 stepsize= 1.000000
+dualbound = 3776162.205784, lowerbound=1311795.205784, norm of subgrad 1145.852174 dualbound = 3776162.205784, lowerbound=1311795.205784, norm of subgrad 35.338647 stepsize= 1.000000
+dualbound = 3776208.198654, lowerbound=1306812.198654, norm of subgrad 1143.676615 dualbound = 3776208.198654, lowerbound=1306812.198654, norm of subgrad 35.071254 stepsize= 1.000000
+dualbound = 3776266.827989, lowerbound=1311264.827989, norm of subgrad 1145.615480 dualbound = 3776266.827989, lowerbound=1311264.827989, norm of subgrad 35.051809 stepsize= 1.000000
+dualbound = 3776317.509535, lowerbound=1306769.509535, norm of subgrad 1143.658388 dualbound = 3776317.509535, lowerbound=1306769.509535, norm of subgrad 35.152262 stepsize= 1.000000
+dualbound = 3776390.771583, lowerbound=1306382.771583, norm of subgrad 1143.487985 dualbound = 3776390.771583, lowerbound=1306382.771583, norm of subgrad 35.429678 stepsize= 1.000000
+dualbound = 3776442.142068, lowerbound=1309076.142068, norm of subgrad 1144.670320 dualbound = 3776442.142068, lowerbound=1309076.142068, norm of subgrad 35.289807 stepsize= 1.000000
+dualbound = 3776501.494713, lowerbound=1307632.494713, norm of subgrad 1144.032995 dualbound = 3776501.494713, lowerbound=1307632.494713, norm of subgrad 35.190235 stepsize= 1.000000
+dualbound = 3776565.471297, lowerbound=1308952.471297, norm of subgrad 1144.588778 dualbound = 3776565.471297, lowerbound=1308952.471297, norm of subgrad 34.568433 stepsize= 1.000000
+dualbound = 3776628.242969, lowerbound=1309240.242969, norm of subgrad 1144.721906 dualbound = 3776628.242969, lowerbound=1309240.242969, norm of subgrad 34.796144 stepsize= 1.000000
+dualbound = 3776675.836539, lowerbound=1305809.836539, norm of subgrad 1143.232188 dualbound = 3776675.836539, lowerbound=1305809.836539, norm of subgrad 34.894033 stepsize= 1.000000
+dualbound = 3776742.293743, lowerbound=1310408.293743, norm of subgrad 1145.246390 dualbound = 3776742.293743, lowerbound=1310408.293743, norm of subgrad 35.319360 stepsize= 1.000000
+dualbound = 3776782.683625, lowerbound=1305147.683625, norm of subgrad 1142.958741 dualbound = 3776782.683625, lowerbound=1305147.683625, norm of subgrad 35.318407 stepsize= 1.000000
+dualbound = 3776850.185054, lowerbound=1310200.185054, norm of subgrad 1145.150726 dualbound = 3776850.185054, lowerbound=1310200.185054, norm of subgrad 35.178139 stepsize= 1.000000
+dualbound = 3776912.370688, lowerbound=1309266.370688, norm of subgrad 1144.728077 dualbound = 3776912.370688, lowerbound=1309266.370688, norm of subgrad 34.614818 stepsize= 1.000000
+dualbound = 3776971.005832, lowerbound=1312375.005832, norm of subgrad 1146.082897 dualbound = 3776971.005832, lowerbound=1312375.005832, norm of subgrad 34.491088 stepsize= 1.000000
+dualbound = 3777023.053086, lowerbound=1314408.053086, norm of subgrad 1146.977355 dualbound = 3777023.053086, lowerbound=1314408.053086, norm of subgrad 34.656129 stepsize= 1.000000
+dualbound = 3777080.184227, lowerbound=1310124.184227, norm of subgrad 1145.130204 dualbound = 3777080.184227, lowerbound=1310124.184227, norm of subgrad 35.441940 stepsize= 1.000000
+dualbound = 3777120.108023, lowerbound=1316948.108023, norm of subgrad 1148.114153 dualbound = 3777120.108023, lowerbound=1316948.108023, norm of subgrad 35.467221 stepsize= 1.000000
+dualbound = 3777183.835558, lowerbound=1310878.835558, norm of subgrad 1145.446129 dualbound = 3777183.835558, lowerbound=1310878.835558, norm of subgrad 35.095976 stepsize= 1.000000
+dualbound = 3777249.490555, lowerbound=1310516.490555, norm of subgrad 1145.301921 dualbound = 3777249.490555, lowerbound=1310516.490555, norm of subgrad 35.576045 stepsize= 1.000000
+dualbound = 3777305.221358, lowerbound=1312424.221358, norm of subgrad 1146.123127 dualbound = 3777305.221358, lowerbound=1312424.221358, norm of subgrad 35.067518 stepsize= 1.000000
+dualbound = 3777365.197206, lowerbound=1305096.197206, norm of subgrad 1142.922656 dualbound = 3777365.197206, lowerbound=1305096.197206, norm of subgrad 35.156448 stepsize= 1.000000
+dualbound = 3777416.085711, lowerbound=1309509.085711, norm of subgrad 1144.831903 dualbound = 3777416.085711, lowerbound=1309509.085711, norm of subgrad 34.378605 stepsize= 1.000000
+dualbound = 3777491.046526, lowerbound=1308144.046526, norm of subgrad 1144.238632 dualbound = 3777491.046526, lowerbound=1308144.046526, norm of subgrad 34.827587 stepsize= 1.000000
+dualbound = 3777537.108066, lowerbound=1309582.108066, norm of subgrad 1144.911834 dualbound = 3777537.108066, lowerbound=1309582.108066, norm of subgrad 35.875640 stepsize= 1.000000
+dualbound = 3777589.935766, lowerbound=1308034.935766, norm of subgrad 1144.214550 dualbound = 3777589.935766, lowerbound=1308034.935766, norm of subgrad 35.282116 stepsize= 1.000000
+dualbound = 3777658.021366, lowerbound=1312400.021366, norm of subgrad 1146.103844 dualbound = 3777658.021366, lowerbound=1312400.021366, norm of subgrad 34.958341 stepsize= 1.000000
+dualbound = 3777713.045840, lowerbound=1302967.045840, norm of subgrad 1141.973312 dualbound = 3777713.045840, lowerbound=1302967.045840, norm of subgrad 34.511222 stepsize= 1.000000
+dualbound = 3777784.132292, lowerbound=1308153.132292, norm of subgrad 1144.235174 dualbound = 3777784.132292, lowerbound=1308153.132292, norm of subgrad 34.526605 stepsize= 1.000000
+dualbound = 3777824.822088, lowerbound=1305137.822088, norm of subgrad 1142.944365 dualbound = 3777824.822088, lowerbound=1305137.822088, norm of subgrad 34.995568 stepsize= 1.000000
+dualbound = 3777875.840525, lowerbound=1308690.840525, norm of subgrad 1144.491957 dualbound = 3777875.840525, lowerbound=1308690.840525, norm of subgrad 34.957380 stepsize= 1.000000
+dualbound = 3777955.419134, lowerbound=1310361.419134, norm of subgrad 1145.205405 dualbound = 3777955.419134, lowerbound=1310361.419134, norm of subgrad 34.836455 stepsize= 1.000000
+dualbound = 3778017.970360, lowerbound=1305189.970360, norm of subgrad 1142.949242 dualbound = 3778017.970360, lowerbound=1305189.970360, norm of subgrad 34.721049 stepsize= 1.000000
+dualbound = 3778070.335460, lowerbound=1311044.335460, norm of subgrad 1145.524917 dualbound = 3778070.335460, lowerbound=1311044.335460, norm of subgrad 35.147761 stepsize= 1.000000
+dualbound = 3778122.253703, lowerbound=1311396.253703, norm of subgrad 1145.646653 dualbound = 3778122.253703, lowerbound=1311396.253703, norm of subgrad 34.086922 stepsize= 1.000000
+dualbound = 3778202.889691, lowerbound=1311413.889691, norm of subgrad 1145.661333 dualbound = 3778202.889691, lowerbound=1311413.889691, norm of subgrad 34.736666 stepsize= 1.000000
+dualbound = 3778241.831350, lowerbound=1305625.831350, norm of subgrad 1143.152584 dualbound = 3778241.831350, lowerbound=1305625.831350, norm of subgrad 34.798587 stepsize= 1.000000
+dualbound = 3778294.304314, lowerbound=1307654.304314, norm of subgrad 1144.051705 dualbound = 3778294.304314, lowerbound=1307654.304314, norm of subgrad 35.390295 stepsize= 1.000000
+dualbound = 3778346.608231, lowerbound=1314617.608231, norm of subgrad 1147.069138 dualbound = 3778346.608231, lowerbound=1314617.608231, norm of subgrad 34.674254 stepsize= 1.000000
+dualbound = 3778429.396769, lowerbound=1306584.396769, norm of subgrad 1143.557780 dualbound = 3778429.396769, lowerbound=1306584.396769, norm of subgrad 34.968393 stepsize= 1.000000
+dualbound = 3778460.374677, lowerbound=1314068.374677, norm of subgrad 1146.841914 dualbound = 3778460.374677, lowerbound=1314068.374677, norm of subgrad 34.770360 stepsize= 1.000000
+dualbound = 3778516.507486, lowerbound=1312533.507486, norm of subgrad 1146.177782 dualbound = 3778516.507486, lowerbound=1312533.507486, norm of subgrad 35.300606 stepsize= 1.000000
+dualbound = 3778577.181028, lowerbound=1313800.181028, norm of subgrad 1146.711464 dualbound = 3778577.181028, lowerbound=1313800.181028, norm of subgrad 34.751598 stepsize= 1.000000
+dualbound = 3778625.647575, lowerbound=1309034.647575, norm of subgrad 1144.627733 dualbound = 3778625.647575, lowerbound=1309034.647575, norm of subgrad 34.445124 stepsize= 1.000000
+dualbound = 3778691.349437, lowerbound=1304446.349437, norm of subgrad 1142.640079 dualbound = 3778691.349437, lowerbound=1304446.349437, norm of subgrad 35.294502 stepsize= 1.000000
+dualbound = 3778742.181347, lowerbound=1310461.181347, norm of subgrad 1145.251580 dualbound = 3778742.181347, lowerbound=1310461.181347, norm of subgrad 34.508432 stepsize= 1.000000
+dualbound = 3778794.238968, lowerbound=1311059.238968, norm of subgrad 1145.528367 dualbound = 3778794.238968, lowerbound=1311059.238968, norm of subgrad 35.043653 stepsize= 1.000000
+dualbound = 3778880.265547, lowerbound=1305712.265547, norm of subgrad 1143.197824 dualbound = 3778880.265547, lowerbound=1305712.265547, norm of subgrad 35.707514 stepsize= 1.000000
+dualbound = 3778906.895649, lowerbound=1311297.895649, norm of subgrad 1145.632094 dualbound = 3778906.895649, lowerbound=1311297.895649, norm of subgrad 34.664537 stepsize= 1.000000
+dualbound = 3778979.692492, lowerbound=1306835.692492, norm of subgrad 1143.661529 dualbound = 3778979.692492, lowerbound=1306835.692492, norm of subgrad 34.623646 stepsize= 1.000000
+dualbound = 3779058.845786, lowerbound=1311962.845786, norm of subgrad 1145.899579 dualbound = 3779058.845786, lowerbound=1311962.845786, norm of subgrad 34.672082 stepsize= 1.000000
+dualbound = 3779094.778900, lowerbound=1305139.778900, norm of subgrad 1142.935597 dualbound = 3779094.778900, lowerbound=1305139.778900, norm of subgrad 34.611170 stepsize= 1.000000
+dualbound = 3779165.263389, lowerbound=1314417.263389, norm of subgrad 1146.950855 dualbound = 3779165.263389, lowerbound=1314417.263389, norm of subgrad 33.904048 stepsize= 1.000000
+dualbound = 3779223.910297, lowerbound=1308634.910297, norm of subgrad 1144.442620 dualbound = 3779223.910297, lowerbound=1308634.910297, norm of subgrad 34.243932 stepsize= 1.000000
+dualbound = 3779276.079583, lowerbound=1311321.079583, norm of subgrad 1145.626937 dualbound = 3779276.079583, lowerbound=1311321.079583, norm of subgrad 34.527805 stepsize= 1.000000
+dualbound = 3779326.239199, lowerbound=1310904.239199, norm of subgrad 1145.466822 dualbound = 3779326.239199, lowerbound=1310904.239199, norm of subgrad 35.215900 stepsize= 1.000000
+dualbound = 3779351.075209, lowerbound=1306598.075209, norm of subgrad 1143.585185 dualbound = 3779351.075209, lowerbound=1306598.075209, norm of subgrad 34.840149 stepsize= 1.000000
+dualbound = 3779452.645795, lowerbound=1307475.645795, norm of subgrad 1143.950019 dualbound = 3779452.645795, lowerbound=1307475.645795, norm of subgrad 35.320965 stepsize= 1.000000
+dualbound = 3779499.138583, lowerbound=1313646.138583, norm of subgrad 1146.656940 dualbound = 3779499.138583, lowerbound=1313646.138583, norm of subgrad 34.964164 stepsize= 1.000000
+dualbound = 3779543.724009, lowerbound=1308085.724009, norm of subgrad 1144.226256 dualbound = 3779543.724009, lowerbound=1308085.724009, norm of subgrad 34.822197 stepsize= 1.000000
+dualbound = 3779627.218300, lowerbound=1316432.218300, norm of subgrad 1147.836756 dualbound = 3779627.218300, lowerbound=1316432.218300, norm of subgrad 34.358322 stepsize= 1.000000
+dualbound = 3779680.965661, lowerbound=1304618.965661, norm of subgrad 1142.729612 dualbound = 3779680.965661, lowerbound=1304618.965661, norm of subgrad 35.577343 stepsize= 1.000000
+dualbound = 3779700.462123, lowerbound=1309382.462123, norm of subgrad 1144.808483 dualbound = 3779700.462123, lowerbound=1309382.462123, norm of subgrad 34.978514 stepsize= 1.000000
+dualbound = 3779773.565644, lowerbound=1307906.565644, norm of subgrad 1144.165008 dualbound = 3779773.565644, lowerbound=1307906.565644, norm of subgrad 35.778534 stepsize= 1.000000
+dualbound = 3779834.887303, lowerbound=1308085.887303, norm of subgrad 1144.217587 dualbound = 3779834.887303, lowerbound=1308085.887303, norm of subgrad 34.775302 stepsize= 1.000000
+dualbound = 3779897.826404, lowerbound=1302424.826404, norm of subgrad 1141.774858 dualbound = 3779897.826404, lowerbound=1302424.826404, norm of subgrad 35.887868 stepsize= 1.000000
+dualbound = 3779931.301988, lowerbound=1311040.301988, norm of subgrad 1145.524466 dualbound = 3779931.301988, lowerbound=1311040.301988, norm of subgrad 34.920991 stepsize= 1.000000
+dualbound = 3780032.815516, lowerbound=1315755.815516, norm of subgrad 1147.541640 dualbound = 3780032.815516, lowerbound=1315755.815516, norm of subgrad 34.605108 stepsize= 1.000000
+dualbound = 3780085.832826, lowerbound=1306401.832826, norm of subgrad 1143.476643 dualbound = 3780085.832826, lowerbound=1306401.832826, norm of subgrad 34.496628 stepsize= 1.000000
+dualbound = 3780138.485169, lowerbound=1318274.485169, norm of subgrad 1148.665088 dualbound = 3780138.485169, lowerbound=1318274.485169, norm of subgrad 34.780057 stepsize= 1.000000
+dualbound = 3780176.427687, lowerbound=1306104.427687, norm of subgrad 1143.381576 dualbound = 3780176.427687, lowerbound=1306104.427687, norm of subgrad 35.425168 stepsize= 1.000000
+dualbound = 3780229.128651, lowerbound=1303310.128651, norm of subgrad 1142.161604 dualbound = 3780229.128651, lowerbound=1303310.128651, norm of subgrad 35.716956 stepsize= 1.000000
+dualbound = 3780311.354967, lowerbound=1310294.354967, norm of subgrad 1145.175251 dualbound = 3780311.354967, lowerbound=1310294.354967, norm of subgrad 34.845750 stepsize= 1.000000
+dualbound = 3780374.236571, lowerbound=1310617.236571, norm of subgrad 1145.324948 dualbound = 3780374.236571, lowerbound=1310617.236571, norm of subgrad 34.855152 stepsize= 1.000000
+dualbound = 3780399.533804, lowerbound=1310114.533804, norm of subgrad 1145.109835 dualbound = 3780399.533804, lowerbound=1310114.533804, norm of subgrad 34.457180 stepsize= 1.000000
+dualbound = 3780468.472958, lowerbound=1309282.472958, norm of subgrad 1144.759133 dualbound = 3780468.472958, lowerbound=1309282.472958, norm of subgrad 35.495622 stepsize= 1.000000
+dualbound = 3780528.291017, lowerbound=1309077.291017, norm of subgrad 1144.635877 dualbound = 3780528.291017, lowerbound=1309077.291017, norm of subgrad 34.261028 stepsize= 1.000000
+dualbound = 3780609.052085, lowerbound=1311350.052085, norm of subgrad 1145.621688 dualbound = 3780609.052085, lowerbound=1311350.052085, norm of subgrad 34.347650 stepsize= 1.000000
+dualbound = 3780671.096015, lowerbound=1307048.096015, norm of subgrad 1143.720725 dualbound = 3780671.096015, lowerbound=1307048.096015, norm of subgrad 33.332326 stepsize= 1.000000
+dualbound = 3780727.462834, lowerbound=1309048.462834, norm of subgrad 1144.618479 dualbound = 3780727.462834, lowerbound=1309048.462834, norm of subgrad 34.049476 stepsize= 1.000000
+dualbound = 3780774.434147, lowerbound=1307561.434147, norm of subgrad 1143.975714 dualbound = 3780774.434147, lowerbound=1307561.434147, norm of subgrad 34.146322 stepsize= 1.000000
+dualbound = 3780822.982267, lowerbound=1310754.982267, norm of subgrad 1145.374603 dualbound = 3780822.982267, lowerbound=1310754.982267, norm of subgrad 34.300847 stepsize= 1.000000
+dualbound = 3780893.848876, lowerbound=1317655.848876, norm of subgrad 1148.365294 dualbound = 3780893.848876, lowerbound=1317655.848876, norm of subgrad 34.027439 stepsize= 1.000000
+dualbound = 3780946.497104, lowerbound=1308009.497104, norm of subgrad 1144.167600 dualbound = 3780946.497104, lowerbound=1308009.497104, norm of subgrad 34.097628 stepsize= 1.000000
+dualbound = 3781002.078847, lowerbound=1309938.078847, norm of subgrad 1145.041955 dualbound = 3781002.078847, lowerbound=1309938.078847, norm of subgrad 35.193490 stepsize= 1.000000
+dualbound = 3781045.114395, lowerbound=1306558.114395, norm of subgrad 1143.564652 dualbound = 3781045.114395, lowerbound=1306558.114395, norm of subgrad 35.000508 stepsize= 1.000000
+dualbound = 3781093.089598, lowerbound=1307021.089598, norm of subgrad 1143.744329 dualbound = 3781093.089598, lowerbound=1307021.089598, norm of subgrad 34.321643 stepsize= 1.000000
+dualbound = 3781174.436159, lowerbound=1309435.436159, norm of subgrad 1144.809345 dualbound = 3781174.436159, lowerbound=1309435.436159, norm of subgrad 35.133269 stepsize= 1.000000
+dualbound = 3781207.449132, lowerbound=1310284.449132, norm of subgrad 1145.203671 dualbound = 3781207.449132, lowerbound=1310284.449132, norm of subgrad 35.213818 stepsize= 1.000000
+dualbound = 3781293.849454, lowerbound=1310308.849454, norm of subgrad 1145.174593 dualbound = 3781293.849454, lowerbound=1310308.849454, norm of subgrad 34.675645 stepsize= 1.000000
+dualbound = 3781336.813465, lowerbound=1310731.813465, norm of subgrad 1145.354012 dualbound = 3781336.813465, lowerbound=1310731.813465, norm of subgrad 33.866857 stepsize= 1.000000
+dualbound = 3781423.191468, lowerbound=1310460.191468, norm of subgrad 1145.241543 dualbound = 3781423.191468, lowerbound=1310460.191468, norm of subgrad 34.704150 stepsize= 1.000000
+dualbound = 3781448.202545, lowerbound=1311964.202545, norm of subgrad 1145.908025 dualbound = 3781448.202545, lowerbound=1311964.202545, norm of subgrad 34.146904 stepsize= 1.000000
+dualbound = 3781535.377237, lowerbound=1307797.377237, norm of subgrad 1144.071404 dualbound = 3781535.377237, lowerbound=1307797.377237, norm of subgrad 34.484412 stepsize= 1.000000
+dualbound = 3781570.766524, lowerbound=1314128.766524, norm of subgrad 1146.852112 dualbound = 3781570.766524, lowerbound=1314128.766524, norm of subgrad 34.298532 stepsize= 1.000000
+dualbound = 3781633.503040, lowerbound=1306502.503040, norm of subgrad 1143.524597 dualbound = 3781633.503040, lowerbound=1306502.503040, norm of subgrad 34.766888 stepsize= 1.000000
+dualbound = 3781642.046869, lowerbound=1311219.046869, norm of subgrad 1145.608156 dualbound = 3781642.046869, lowerbound=1311219.046869, norm of subgrad 34.749731 stepsize= 1.000000
+dualbound = 3781731.741993, lowerbound=1311792.741993, norm of subgrad 1145.820118 dualbound = 3781731.741993, lowerbound=1311792.741993, norm of subgrad 34.651048 stepsize= 1.000000
+dualbound = 3781793.453039, lowerbound=1311222.453039, norm of subgrad 1145.578218 dualbound = 3781793.453039, lowerbound=1311222.453039, norm of subgrad 34.477689 stepsize= 1.000000
+dualbound = 3781836.158686, lowerbound=1308593.158686, norm of subgrad 1144.451903 dualbound = 3781836.158686, lowerbound=1308593.158686, norm of subgrad 34.924284 stepsize= 1.000000
+dualbound = 3781895.312327, lowerbound=1312242.312327, norm of subgrad 1146.049001 dualbound = 3781895.312327, lowerbound=1312242.312327, norm of subgrad 35.286735 stepsize= 1.000000
+dualbound = 3781963.169393, lowerbound=1309637.169393, norm of subgrad 1144.875176 dualbound = 3781963.169393, lowerbound=1309637.169393, norm of subgrad 34.203173 stepsize= 1.000000
+dualbound = 3782043.465518, lowerbound=1310009.465518, norm of subgrad 1144.998020 dualbound = 3782043.465518, lowerbound=1310009.465518, norm of subgrad 33.034771 stepsize= 1.000000
+dualbound = 3782114.162313, lowerbound=1311870.162313, norm of subgrad 1145.833828 dualbound = 3782114.162313, lowerbound=1311870.162313, norm of subgrad 33.700101 stepsize= 1.000000
+dualbound = 3782141.784365, lowerbound=1306664.784365, norm of subgrad 1143.589430 dualbound = 3782141.784365, lowerbound=1306664.784365, norm of subgrad 34.053224 stepsize= 1.000000
+dualbound = 3782188.391879, lowerbound=1314394.391879, norm of subgrad 1146.980554 dualbound = 3782188.391879, lowerbound=1314394.391879, norm of subgrad 34.879901 stepsize= 1.000000
+dualbound = 3782232.235443, lowerbound=1310566.235443, norm of subgrad 1145.317963 dualbound = 3782232.235443, lowerbound=1310566.235443, norm of subgrad 35.083380 stepsize= 1.000000
+dualbound = 3782304.923338, lowerbound=1306750.923338, norm of subgrad 1143.619659 dualbound = 3782304.923338, lowerbound=1306750.923338, norm of subgrad 34.462848 stepsize= 1.000000
+dualbound = 3782368.663566, lowerbound=1313261.663566, norm of subgrad 1146.473577 dualbound = 3782368.663566, lowerbound=1313261.663566, norm of subgrad 34.694960 stepsize= 1.000000
+dualbound = 3782412.445387, lowerbound=1315569.445387, norm of subgrad 1147.492678 dualbound = 3782412.445387, lowerbound=1315569.445387, norm of subgrad 34.839372 stepsize= 1.000000
+dualbound = 3782497.224587, lowerbound=1311013.224587, norm of subgrad 1145.466815 dualbound = 3782497.224587, lowerbound=1311013.224587, norm of subgrad 34.143509 stepsize= 1.000000
+dualbound = 3782550.113260, lowerbound=1305667.113260, norm of subgrad 1143.169328 dualbound = 3782550.113260, lowerbound=1305667.113260, norm of subgrad 34.955524 stepsize= 1.000000
+dualbound = 3782571.406817, lowerbound=1312138.406817, norm of subgrad 1145.991015 dualbound = 3782571.406817, lowerbound=1312138.406817, norm of subgrad 34.326281 stepsize= 1.000000
+dualbound = 3782663.076401, lowerbound=1308216.076401, norm of subgrad 1144.308558 dualbound = 3782663.076401, lowerbound=1308216.076401, norm of subgrad 36.299719 stepsize= 1.000000
+dualbound = 3782651.486218, lowerbound=1311098.486218, norm of subgrad 1145.581287 dualbound = 3782651.486218, lowerbound=1311098.486218, norm of subgrad 35.304530 stepsize= 1.000000
+dualbound = 3782758.583976, lowerbound=1309020.583976, norm of subgrad 1144.636005 dualbound = 3782758.583976, lowerbound=1309020.583976, norm of subgrad 35.750493 stepsize= 1.000000
+dualbound = 3782808.808366, lowerbound=1308821.808366, norm of subgrad 1144.536504 dualbound = 3782808.808366, lowerbound=1308821.808366, norm of subgrad 34.528602 stepsize= 1.000000
+dualbound = 3782884.978387, lowerbound=1315052.978387, norm of subgrad 1147.257154 dualbound = 3782884.978387, lowerbound=1315052.978387, norm of subgrad 34.959548 stepsize= 1.000000
+dualbound = 3782934.125384, lowerbound=1307880.125384, norm of subgrad 1144.109315 dualbound = 3782934.125384, lowerbound=1307880.125384, norm of subgrad 33.987454 stepsize= 1.000000
+dualbound = 3783013.811197, lowerbound=1308468.811197, norm of subgrad 1144.373545 dualbound = 3783013.811197, lowerbound=1308468.811197, norm of subgrad 34.665340 stepsize= 1.000000
+dualbound = 3783030.384785, lowerbound=1316837.384785, norm of subgrad 1148.034575 dualbound = 3783030.384785, lowerbound=1316837.384785, norm of subgrad 34.096533 stepsize= 1.000000
+dualbound = 3783103.156968, lowerbound=1306175.156968, norm of subgrad 1143.366152 dualbound = 3783103.156968, lowerbound=1306175.156968, norm of subgrad 34.405991 stepsize= 1.000000
+dualbound = 3783155.541718, lowerbound=1314003.541718, norm of subgrad 1146.763943 dualbound = 3783155.541718, lowerbound=1314003.541718, norm of subgrad 33.412344 stepsize= 1.000000
+dualbound = 3783247.189735, lowerbound=1308684.189735, norm of subgrad 1144.498663 dualbound = 3783247.189735, lowerbound=1308684.189735, norm of subgrad 35.841987 stepsize= 1.000000
+dualbound = 3783259.161263, lowerbound=1310357.161263, norm of subgrad 1145.193940 dualbound = 3783259.161263, lowerbound=1310357.161263, norm of subgrad 33.525685 stepsize= 1.000000
+dualbound = 3783351.199694, lowerbound=1307786.199694, norm of subgrad 1144.026748 dualbound = 3783351.199694, lowerbound=1307786.199694, norm of subgrad 33.212022 stepsize= 1.000000
+dualbound = 3783412.989271, lowerbound=1309209.989271, norm of subgrad 1144.668506 dualbound = 3783412.989271, lowerbound=1309209.989271, norm of subgrad 33.433360 stepsize= 1.000000
+dualbound = 3783478.852897, lowerbound=1314368.852897, norm of subgrad 1146.941957 dualbound = 3783478.852897, lowerbound=1314368.852897, norm of subgrad 34.247097 stepsize= 1.000000
+dualbound = 3783506.783548, lowerbound=1306307.783548, norm of subgrad 1143.432894 dualbound = 3783506.783548, lowerbound=1306307.783548, norm of subgrad 34.043071 stepsize= 1.000000
+dualbound = 3783557.707321, lowerbound=1310327.707321, norm of subgrad 1145.183264 dualbound = 3783557.707321, lowerbound=1310327.707321, norm of subgrad 34.174900 stepsize= 1.000000
+dualbound = 3783621.924032, lowerbound=1318239.924032, norm of subgrad 1148.634374 dualbound = 3783621.924032, lowerbound=1318239.924032, norm of subgrad 34.426977 stepsize= 1.000000
+dualbound = 3783695.858631, lowerbound=1306751.858631, norm of subgrad 1143.609574 dualbound = 3783695.858631, lowerbound=1306751.858631, norm of subgrad 34.131138 stepsize= 1.000000
+dualbound = 3783733.013937, lowerbound=1312621.013937, norm of subgrad 1146.179748 dualbound = 3783733.013937, lowerbound=1312621.013937, norm of subgrad 33.825365 stepsize= 1.000000
+dualbound = 3783793.998432, lowerbound=1306973.998432, norm of subgrad 1143.737294 dualbound = 3783793.998432, lowerbound=1306973.998432, norm of subgrad 34.956895 stepsize= 1.000000
+dualbound = 3783818.534117, lowerbound=1310633.534117, norm of subgrad 1145.339048 dualbound = 3783818.534117, lowerbound=1310633.534117, norm of subgrad 34.533110 stepsize= 1.000000
+dualbound = 3783910.511543, lowerbound=1309261.511543, norm of subgrad 1144.722460 dualbound = 3783910.511543, lowerbound=1309261.511543, norm of subgrad 34.928175 stepsize= 1.000000
+dualbound = 3783955.724343, lowerbound=1313691.724343, norm of subgrad 1146.658504 dualbound = 3783955.724343, lowerbound=1313691.724343, norm of subgrad 34.339668 stepsize= 1.000000
+dualbound = 3784008.990667, lowerbound=1307076.990667, norm of subgrad 1143.771389 dualbound = 3784008.990667, lowerbound=1307076.990667, norm of subgrad 34.485741 stepsize= 1.000000
+dualbound = 3784076.374125, lowerbound=1308690.374125, norm of subgrad 1144.495685 dualbound = 3784076.374125, lowerbound=1308690.374125, norm of subgrad 35.318316 stepsize= 1.000000
+dualbound = 3784111.181928, lowerbound=1311356.181928, norm of subgrad 1145.656660 dualbound = 3784111.181928, lowerbound=1311356.181928, norm of subgrad 34.753529 stepsize= 1.000000
+dualbound = 3784168.897608, lowerbound=1308899.897608, norm of subgrad 1144.602070 dualbound = 3784168.897608, lowerbound=1308899.897608, norm of subgrad 35.661123 stepsize= 1.000000
+dualbound = 3784225.734417, lowerbound=1311751.734417, norm of subgrad 1145.837569 dualbound = 3784225.734417, lowerbound=1311751.734417, norm of subgrad 35.338885 stepsize= 1.000000
+dualbound = 3784269.403499, lowerbound=1314483.403499, norm of subgrad 1147.039844 dualbound = 3784269.403499, lowerbound=1314483.403499, norm of subgrad 35.505902 stepsize= 1.000000
+dualbound = 3784348.325235, lowerbound=1307256.325235, norm of subgrad 1143.874698 dualbound = 3784348.325235, lowerbound=1307256.325235, norm of subgrad 35.664012 stepsize= 1.000000
+dualbound = 3784394.018081, lowerbound=1311881.018081, norm of subgrad 1145.869547 dualbound = 3784394.018081, lowerbound=1311881.018081, norm of subgrad 34.375760 stepsize= 1.000000
+dualbound = 3784471.538235, lowerbound=1311188.538235, norm of subgrad 1145.549012 dualbound = 3784471.538235, lowerbound=1311188.538235, norm of subgrad 34.227477 stepsize= 1.000000
+dualbound = 3784548.857448, lowerbound=1311231.857448, norm of subgrad 1145.603709 dualbound = 3784548.857448, lowerbound=1311231.857448, norm of subgrad 35.402249 stepsize= 1.000000
+dualbound = 3784553.040669, lowerbound=1313568.040669, norm of subgrad 1146.608495 dualbound = 3784553.040669, lowerbound=1313568.040669, norm of subgrad 33.870093 stepsize= 1.000000
+dualbound = 3784657.956974, lowerbound=1311876.956974, norm of subgrad 1145.843775 dualbound = 3784657.956974, lowerbound=1311876.956974, norm of subgrad 34.437136 stepsize= 1.000000
+dualbound = 3784687.751359, lowerbound=1313117.751359, norm of subgrad 1146.375921 dualbound = 3784687.751359, lowerbound=1313117.751359, norm of subgrad 33.012034 stepsize= 1.000000
+dualbound = 3784800.505923, lowerbound=1311672.505923, norm of subgrad 1145.744957 dualbound = 3784800.505923, lowerbound=1311672.505923, norm of subgrad 34.230901 stepsize= 1.000000
+dualbound = 3784803.362859, lowerbound=1312695.362859, norm of subgrad 1146.207818 dualbound = 3784803.362859, lowerbound=1312695.362859, norm of subgrad 33.164091 stepsize= 1.000000
+dualbound = 3784864.375347, lowerbound=1308267.375347, norm of subgrad 1144.321360 dualbound = 3784864.375347, lowerbound=1308267.375347, norm of subgrad 35.567014 stepsize= 1.000000
+dualbound = 3784898.349127, lowerbound=1310251.349127, norm of subgrad 1145.166079 dualbound = 3784898.349127, lowerbound=1310251.349127, norm of subgrad 34.466996 stepsize= 1.000000
+dualbound = 3784980.450807, lowerbound=1309466.450807, norm of subgrad 1144.822017 dualbound = 3784980.450807, lowerbound=1309466.450807, norm of subgrad 35.115548 stepsize= 1.000000
+dualbound = 3785025.508898, lowerbound=1310749.508898, norm of subgrad 1145.370905 dualbound = 3785025.508898, lowerbound=1310749.508898, norm of subgrad 34.206112 stepsize= 1.000000
+dualbound = 3785085.922719, lowerbound=1306206.922719, norm of subgrad 1143.416776 dualbound = 3785085.922719, lowerbound=1306206.922719, norm of subgrad 35.431819 stepsize= 1.000000
+dualbound = 3785121.724888, lowerbound=1310162.724888, norm of subgrad 1145.135243 dualbound = 3785121.724888, lowerbound=1310162.724888, norm of subgrad 34.753448 stepsize= 1.000000
+dualbound = 3785206.184540, lowerbound=1307196.184540, norm of subgrad 1143.828739 dualbound = 3785206.184540, lowerbound=1307196.184540, norm of subgrad 35.106405 stepsize= 1.000000
+dualbound = 3785287.538245, lowerbound=1309806.538245, norm of subgrad 1144.941718 dualbound = 3785287.538245, lowerbound=1309806.538245, norm of subgrad 34.151921 stepsize= 1.000000
+dualbound = 3785328.286962, lowerbound=1308721.286962, norm of subgrad 1144.486910 dualbound = 3785328.286962, lowerbound=1308721.286962, norm of subgrad 34.201589 stepsize= 1.000000
+dualbound = 3785348.505856, lowerbound=1310147.505856, norm of subgrad 1145.151303 dualbound = 3785348.505856, lowerbound=1310147.505856, norm of subgrad 35.273487 stepsize= 1.000000
+dualbound = 3785432.454849, lowerbound=1306449.454849, norm of subgrad 1143.516705 dualbound = 3785432.454849, lowerbound=1306449.454849, norm of subgrad 35.566121 stepsize= 1.000000
+dualbound = 3785473.046163, lowerbound=1315542.046163, norm of subgrad 1147.490325 dualbound = 3785473.046163, lowerbound=1315542.046163, norm of subgrad 35.108280 stepsize= 1.000000
+dualbound = 3785525.885863, lowerbound=1310578.885863, norm of subgrad 1145.335709 dualbound = 3785525.885863, lowerbound=1310578.885863, norm of subgrad 35.606737 stepsize= 1.000000
+dualbound = 3785597.384550, lowerbound=1311632.384550, norm of subgrad 1145.781561 dualbound = 3785597.384550, lowerbound=1311632.384550, norm of subgrad 35.418903 stepsize= 1.000000
+dualbound = 3785662.400605, lowerbound=1307479.400605, norm of subgrad 1143.959528 dualbound = 3785662.400605, lowerbound=1307479.400605, norm of subgrad 35.057325 stepsize= 1.000000
+dualbound = 3785748.275527, lowerbound=1312758.275527, norm of subgrad 1146.232645 dualbound = 3785748.275527, lowerbound=1312758.275527, norm of subgrad 34.305611 stepsize= 1.000000
+dualbound = 3785798.181477, lowerbound=1306089.181477, norm of subgrad 1143.328554 dualbound = 3785798.181477, lowerbound=1306089.181477, norm of subgrad 34.072070 stepsize= 1.000000
+dualbound = 3785846.624954, lowerbound=1310694.624954, norm of subgrad 1145.345199 dualbound = 3785846.624954, lowerbound=1310694.624954, norm of subgrad 34.197127 stepsize= 1.000000
+dualbound = 3785891.953997, lowerbound=1311168.953997, norm of subgrad 1145.596768 dualbound = 3785891.953997, lowerbound=1311168.953997, norm of subgrad 35.613608 stepsize= 1.000000
+dualbound = 3785946.598222, lowerbound=1311071.598222, norm of subgrad 1145.498406 dualbound = 3785946.598222, lowerbound=1311071.598222, norm of subgrad 33.906404 stepsize= 1.000000
+dualbound = 3786029.060875, lowerbound=1315608.060875, norm of subgrad 1147.491203 dualbound = 3786029.060875, lowerbound=1315608.060875, norm of subgrad 34.791704 stepsize= 1.000000
+dualbound = 3786066.205011, lowerbound=1312123.205011, norm of subgrad 1145.960822 dualbound = 3786066.205011, lowerbound=1312123.205011, norm of subgrad 33.766020 stepsize= 1.000000
+dualbound = 3786138.435139, lowerbound=1306659.435139, norm of subgrad 1143.574412 dualbound = 3786138.435139, lowerbound=1306659.435139, norm of subgrad 34.281630 stepsize= 1.000000
+dualbound = 3786181.975100, lowerbound=1312739.975100, norm of subgrad 1146.232077 dualbound = 3786181.975100, lowerbound=1312739.975100, norm of subgrad 33.934348 stepsize= 1.000000
+dualbound = 3786233.686439, lowerbound=1307242.686439, norm of subgrad 1143.865677 dualbound = 3786233.686439, lowerbound=1307242.686439, norm of subgrad 35.181122 stepsize= 1.000000
+dualbound = 3786276.493620, lowerbound=1315760.493620, norm of subgrad 1147.575485 dualbound = 3786276.493620, lowerbound=1315760.493620, norm of subgrad 34.811021 stepsize= 1.000000
+dualbound = 3786345.733430, lowerbound=1308104.733430, norm of subgrad 1144.210965 dualbound = 3786345.733430, lowerbound=1308104.733430, norm of subgrad 34.398253 stepsize= 1.000000
+dualbound = 3786409.117748, lowerbound=1309432.117748, norm of subgrad 1144.790425 dualbound = 3786409.117748, lowerbound=1309432.117748, norm of subgrad 34.298459 stepsize= 1.000000
+dualbound = 3786476.154194, lowerbound=1305619.154194, norm of subgrad 1143.148789 dualbound = 3786476.154194, lowerbound=1305619.154194, norm of subgrad 35.171529 stepsize= 1.000000
+dualbound = 3786512.907567, lowerbound=1311035.907567, norm of subgrad 1145.477589 dualbound = 3786512.907567, lowerbound=1311035.907567, norm of subgrad 33.462716 stepsize= 1.000000
+dualbound = 3786593.207661, lowerbound=1311653.207661, norm of subgrad 1145.755300 dualbound = 3786593.207661, lowerbound=1311653.207661, norm of subgrad 34.384591 stepsize= 1.000000
+dualbound = 3786645.774216, lowerbound=1319157.774216, norm of subgrad 1149.046898 dualbound = 3786645.774216, lowerbound=1319157.774216, norm of subgrad 34.692457 stepsize= 1.000000
+dualbound = 3786679.865236, lowerbound=1307383.865236, norm of subgrad 1143.927386 dualbound = 3786679.865236, lowerbound=1307383.865236, norm of subgrad 34.929801 stepsize= 1.000000
+dualbound = 3786723.095347, lowerbound=1312762.095347, norm of subgrad 1146.294506 dualbound = 3786723.095347, lowerbound=1312762.095347, norm of subgrad 35.668335 stepsize= 1.000000
+dualbound = 3786768.428329, lowerbound=1312025.428329, norm of subgrad 1145.946957 dualbound = 3786768.428329, lowerbound=1312025.428329, norm of subgrad 34.847281 stepsize= 1.000000
+dualbound = 3786842.287665, lowerbound=1308539.287665, norm of subgrad 1144.430989 dualbound = 3786842.287665, lowerbound=1308539.287665, norm of subgrad 35.452212 stepsize= 1.000000
+dualbound = 3786902.430630, lowerbound=1310406.430630, norm of subgrad 1145.237281 dualbound = 3786902.430630, lowerbound=1310406.430630, norm of subgrad 34.959161 stepsize= 1.000000
+dualbound = 3786966.605658, lowerbound=1314878.605658, norm of subgrad 1147.194232 dualbound = 3786966.605658, lowerbound=1314878.605658, norm of subgrad 35.216119 stepsize= 1.000000
+dualbound = 3787007.581652, lowerbound=1310719.581652, norm of subgrad 1145.385342 dualbound = 3787007.581652, lowerbound=1310719.581652, norm of subgrad 35.056754 stepsize= 1.000000
+dualbound = 3787080.981622, lowerbound=1315682.981622, norm of subgrad 1147.540405 dualbound = 3787080.981622, lowerbound=1315682.981622, norm of subgrad 35.205113 stepsize= 1.000000
+dualbound = 3787108.177897, lowerbound=1310453.177897, norm of subgrad 1145.255944 dualbound = 3787108.177897, lowerbound=1310453.177897, norm of subgrad 34.426680 stepsize= 1.000000
+dualbound = 3787201.395417, lowerbound=1308362.395417, norm of subgrad 1144.343216 dualbound = 3787201.395417, lowerbound=1308362.395417, norm of subgrad 35.386686 stepsize= 1.000000
+dualbound = 3787235.404092, lowerbound=1313782.404092, norm of subgrad 1146.699788 dualbound = 3787235.404092, lowerbound=1313782.404092, norm of subgrad 34.234612 stepsize= 1.000000
+dualbound = 3787331.500990, lowerbound=1307052.500990, norm of subgrad 1143.755438 dualbound = 3787331.500990, lowerbound=1307052.500990, norm of subgrad 34.929885 stepsize= 1.000000
+dualbound = 3787360.151053, lowerbound=1312900.151053, norm of subgrad 1146.311978 dualbound = 3787360.151053, lowerbound=1312900.151053, norm of subgrad 34.053635 stepsize= 1.000000
+dualbound = 3787442.550913, lowerbound=1310012.550913, norm of subgrad 1145.045218 dualbound = 3787442.550913, lowerbound=1310012.550913, norm of subgrad 34.617912 stepsize= 1.000000
+dualbound = 3787485.668726, lowerbound=1307335.668726, norm of subgrad 1143.891021 dualbound = 3787485.668726, lowerbound=1307335.668726, norm of subgrad 34.556010 stepsize= 1.000000
+dualbound = 3787531.241003, lowerbound=1308689.241003, norm of subgrad 1144.477715 dualbound = 3787531.241003, lowerbound=1308689.241003, norm of subgrad 34.432140 stepsize= 1.000000
+dualbound = 3787599.611540, lowerbound=1312112.611540, norm of subgrad 1145.986305 dualbound = 3787599.611540, lowerbound=1312112.611540, norm of subgrad 35.218895 stepsize= 1.000000
+dualbound = 3787638.660565, lowerbound=1313475.660565, norm of subgrad 1146.579548 dualbound = 3787638.660565, lowerbound=1313475.660565, norm of subgrad 34.757000 stepsize= 1.000000
+dualbound = 3787707.272942, lowerbound=1313529.272942, norm of subgrad 1146.587229 dualbound = 3787707.272942, lowerbound=1313529.272942, norm of subgrad 34.664281 stepsize= 1.000000
+dualbound = 3787781.537107, lowerbound=1307387.537107, norm of subgrad 1143.894461 dualbound = 3787781.537107, lowerbound=1307387.537107, norm of subgrad 34.369524 stepsize= 1.000000
+dualbound = 3787846.903412, lowerbound=1309690.903412, norm of subgrad 1144.889909 dualbound = 3787846.903412, lowerbound=1309690.903412, norm of subgrad 33.872796 stepsize= 1.000000
+dualbound = 3787903.194646, lowerbound=1306738.194646, norm of subgrad 1143.592670 dualbound = 3787903.194646, lowerbound=1306738.194646, norm of subgrad 33.500615 stepsize= 1.000000
+dualbound = 3787951.960292, lowerbound=1310672.960292, norm of subgrad 1145.375467 dualbound = 3787951.960292, lowerbound=1310672.960292, norm of subgrad 35.507262 stepsize= 1.000000
+dualbound = 3787978.344313, lowerbound=1313748.344313, norm of subgrad 1146.704122 dualbound = 3787978.344313, lowerbound=1313748.344313, norm of subgrad 34.761818 stepsize= 1.000000
+dualbound = 3788032.180577, lowerbound=1309857.180577, norm of subgrad 1144.992219 dualbound = 3788032.180577, lowerbound=1309857.180577, norm of subgrad 34.696344 stepsize= 1.000000
+dualbound = 3788099.451330, lowerbound=1316716.451330, norm of subgrad 1147.981468 dualbound = 3788099.451330, lowerbound=1316716.451330, norm of subgrad 34.817679 stepsize= 1.000000
+dualbound = 3788159.145316, lowerbound=1309389.145316, norm of subgrad 1144.760300 dualbound = 3788159.145316, lowerbound=1309389.145316, norm of subgrad 33.862870 stepsize= 1.000000
+dualbound = 3788228.369522, lowerbound=1316258.369522, norm of subgrad 1147.795003 dualbound = 3788228.369522, lowerbound=1316258.369522, norm of subgrad 35.273562 stepsize= 1.000000
+dualbound = 3788254.308257, lowerbound=1310624.308257, norm of subgrad 1145.341568 dualbound = 3788254.308257, lowerbound=1310624.308257, norm of subgrad 34.769796 stepsize= 1.000000
+dualbound = 3788313.617688, lowerbound=1307198.617688, norm of subgrad 1143.834174 dualbound = 3788313.617688, lowerbound=1307198.617688, norm of subgrad 34.889962 stepsize= 1.000000
+dualbound = 3788356.403941, lowerbound=1307633.403941, norm of subgrad 1144.043882 dualbound = 3788356.403941, lowerbound=1307633.403941, norm of subgrad 35.295697 stepsize= 1.000000
+dualbound = 3788456.660525, lowerbound=1315903.660525, norm of subgrad 1147.646139 dualbound = 3788456.660525, lowerbound=1315903.660525, norm of subgrad 35.892291 stepsize= 1.000000
+dualbound = 3788473.544774, lowerbound=1308762.544774, norm of subgrad 1144.531583 dualbound = 3788473.544774, lowerbound=1308762.544774, norm of subgrad 34.740240 stepsize= 1.000000
+dualbound = 3788550.512826, lowerbound=1318883.512826, norm of subgrad 1148.926243 dualbound = 3788550.512826, lowerbound=1318883.512826, norm of subgrad 34.999544 stepsize= 1.000000
+dualbound = 3788608.547066, lowerbound=1304581.547066, norm of subgrad 1142.694424 dualbound = 3788608.547066, lowerbound=1304581.547066, norm of subgrad 35.029049 stepsize= 1.000000
+dualbound = 3788660.013957, lowerbound=1315325.013957, norm of subgrad 1147.370914 dualbound = 3788660.013957, lowerbound=1315325.013957, norm of subgrad 34.445129 stepsize= 1.000000
+dualbound = 3788730.255855, lowerbound=1312318.255855, norm of subgrad 1146.036324 dualbound = 3788730.255855, lowerbound=1312318.255855, norm of subgrad 33.929956 stepsize= 1.000000
+dualbound = 3788803.310640, lowerbound=1312382.310640, norm of subgrad 1146.068633 dualbound = 3788803.310640, lowerbound=1312382.310640, norm of subgrad 34.118247 stepsize= 1.000000
+dualbound = 3788825.163394, lowerbound=1308852.163394, norm of subgrad 1144.559812 dualbound = 3788825.163394, lowerbound=1308852.163394, norm of subgrad 34.450729 stepsize= 1.000000
+dualbound = 3788904.766767, lowerbound=1310692.766767, norm of subgrad 1145.344388 dualbound = 3788904.766767, lowerbound=1310692.766767, norm of subgrad 34.649724 stepsize= 1.000000
+dualbound = 3788958.782090, lowerbound=1311739.782090, norm of subgrad 1145.811844 dualbound = 3788958.782090, lowerbound=1311739.782090, norm of subgrad 34.626801 stepsize= 1.000000
+dualbound = 3788999.078055, lowerbound=1310754.078055, norm of subgrad 1145.379884 dualbound = 3788999.078055, lowerbound=1310754.078055, norm of subgrad 34.369986 stepsize= 1.000000
+dualbound = 3789081.465270, lowerbound=1310678.465270, norm of subgrad 1145.335525 dualbound = 3789081.465270, lowerbound=1310678.465270, norm of subgrad 34.603283 stepsize= 1.000000
+dualbound = 3789113.052492, lowerbound=1311227.052492, norm of subgrad 1145.621252 dualbound = 3789113.052492, lowerbound=1311227.052492, norm of subgrad 35.391909 stepsize= 1.000000
+dualbound = 3789143.778340, lowerbound=1312686.778340, norm of subgrad 1146.259036 dualbound = 3789143.778340, lowerbound=1312686.778340, norm of subgrad 35.407991 stepsize= 1.000000
+dualbound = 3789200.546857, lowerbound=1316534.546857, norm of subgrad 1147.924887 dualbound = 3789200.546857, lowerbound=1316534.546857, norm of subgrad 35.408594 stepsize= 1.000000
+dualbound = 3789284.431977, lowerbound=1314894.431977, norm of subgrad 1147.198950 dualbound = 3789284.431977, lowerbound=1314894.431977, norm of subgrad 35.424358 stepsize= 1.000000
+dualbound = 3789329.479692, lowerbound=1310043.479692, norm of subgrad 1145.068330 dualbound = 3789329.479692, lowerbound=1310043.479692, norm of subgrad 34.395461 stepsize= 1.000000
+dualbound = 3789406.095244, lowerbound=1313797.095244, norm of subgrad 1146.713606 dualbound = 3789406.095244, lowerbound=1313797.095244, norm of subgrad 35.094381 stepsize= 1.000000
+dualbound = 3789463.963814, lowerbound=1304077.963814, norm of subgrad 1142.448670 dualbound = 3789463.963814, lowerbound=1304077.963814, norm of subgrad 34.188720 stepsize= 1.000000
+dualbound = 3789530.223647, lowerbound=1316361.223647, norm of subgrad 1147.834145 dualbound = 3789530.223647, lowerbound=1316361.223647, norm of subgrad 35.046538 stepsize= 1.000000
+dualbound = 3789557.834219, lowerbound=1312366.834219, norm of subgrad 1146.099400 dualbound = 3789557.834219, lowerbound=1312366.834219, norm of subgrad 34.707500 stepsize= 1.000000
+dualbound = 3789627.948634, lowerbound=1314356.948634, norm of subgrad 1146.962488 dualbound = 3789627.948634, lowerbound=1314356.948634, norm of subgrad 35.158419 stepsize= 1.000000
+dualbound = 3789673.945488, lowerbound=1312717.945488, norm of subgrad 1146.267397 dualbound = 3789673.945488, lowerbound=1312717.945488, norm of subgrad 35.454151 stepsize= 1.000000
+dualbound = 3789753.101661, lowerbound=1311289.101661, norm of subgrad 1145.595959 dualbound = 3789753.101661, lowerbound=1311289.101661, norm of subgrad 34.353401 stepsize= 1.000000
+dualbound = 3789826.129463, lowerbound=1307917.129463, norm of subgrad 1144.129420 dualbound = 3789826.129463, lowerbound=1307917.129463, norm of subgrad 34.467779 stepsize= 1.000000
+dualbound = 3789859.988929, lowerbound=1309198.988929, norm of subgrad 1144.713060 dualbound = 3789859.988929, lowerbound=1309198.988929, norm of subgrad 34.682264 stepsize= 1.000000
+dualbound = 3789901.084527, lowerbound=1313908.084527, norm of subgrad 1146.761564 dualbound = 3789901.084527, lowerbound=1313908.084527, norm of subgrad 34.570155 stepsize= 1.000000
+dualbound = 3789955.146668, lowerbound=1309012.146668, norm of subgrad 1144.625330 dualbound = 3789955.146668, lowerbound=1309012.146668, norm of subgrad 34.771571 stepsize= 1.000000
+dualbound = 3790038.228642, lowerbound=1313798.228642, norm of subgrad 1146.713229 dualbound = 3790038.228642, lowerbound=1313798.228642, norm of subgrad 35.157957 stepsize= 1.000000
+dualbound = 3790092.142538, lowerbound=1308327.142538, norm of subgrad 1144.324754 dualbound = 3790092.142538, lowerbound=1308327.142538, norm of subgrad 34.726271 stepsize= 1.000000
+dualbound = 3790126.298179, lowerbound=1309621.298179, norm of subgrad 1144.891391 dualbound = 3790126.298179, lowerbound=1309621.298179, norm of subgrad 34.484136 stepsize= 1.000000
+dualbound = 3790201.179868, lowerbound=1308905.179868, norm of subgrad 1144.580351 dualbound = 3790201.179868, lowerbound=1308905.179868, norm of subgrad 35.126652 stepsize= 1.000000
+dualbound = 3790257.540585, lowerbound=1309925.540585, norm of subgrad 1144.974908 dualbound = 3790257.540585, lowerbound=1309925.540585, norm of subgrad 33.141526 stepsize= 1.000000
+dualbound = 3790339.220558, lowerbound=1307070.220558, norm of subgrad 1143.781981 dualbound = 3790339.220558, lowerbound=1307070.220558, norm of subgrad 35.336666 stepsize= 1.000000
+dualbound = 3790338.568789, lowerbound=1308441.568789, norm of subgrad 1144.387858 dualbound = 3790338.568789, lowerbound=1308441.568789, norm of subgrad 34.370747 stepsize= 1.000000
+dualbound = 3790439.806824, lowerbound=1315011.806824, norm of subgrad 1147.232238 dualbound = 3790439.806824, lowerbound=1315011.806824, norm of subgrad 35.089002 stepsize= 1.000000
+dualbound = 3790476.429543, lowerbound=1306795.429543, norm of subgrad 1143.656605 dualbound = 3790476.429543, lowerbound=1306795.429543, norm of subgrad 34.519889 stepsize= 1.000000
+dualbound = 3790530.101594, lowerbound=1316385.101594, norm of subgrad 1147.853693 dualbound = 3790530.101594, lowerbound=1316385.101594, norm of subgrad 35.166348 stepsize= 1.000000
+dualbound = 3790595.712863, lowerbound=1309502.712863, norm of subgrad 1144.820821 dualbound = 3790595.712863, lowerbound=1309502.712863, norm of subgrad 34.316341 stepsize= 1.000000
+dualbound = 3790658.326074, lowerbound=1307724.326074, norm of subgrad 1144.065700 dualbound = 3790658.326074, lowerbound=1307724.326074, norm of subgrad 34.994474 stepsize= 1.000000
+dualbound = 3790697.299116, lowerbound=1313437.299116, norm of subgrad 1146.566308 dualbound = 3790697.299116, lowerbound=1313437.299116, norm of subgrad 34.870805 stepsize= 1.000000
+dualbound = 3790769.379823, lowerbound=1314684.379823, norm of subgrad 1147.086910 dualbound = 3790769.379823, lowerbound=1314684.379823, norm of subgrad 34.584400 stepsize= 1.000000
+dualbound = 3790818.609681, lowerbound=1315733.609681, norm of subgrad 1147.559850 dualbound = 3790818.609681, lowerbound=1315733.609681, norm of subgrad 34.773982 stepsize= 1.000000
+dualbound = 3790855.235978, lowerbound=1310326.235978, norm of subgrad 1145.187861 dualbound = 3790855.235978, lowerbound=1310326.235978, norm of subgrad 34.141270 stepsize= 1.000000
+dualbound = 3790942.244168, lowerbound=1313254.244168, norm of subgrad 1146.448971 dualbound = 3790942.244168, lowerbound=1313254.244168, norm of subgrad 34.322124 stepsize= 1.000000
+dualbound = 3790982.264774, lowerbound=1314998.264774, norm of subgrad 1147.267303 dualbound = 3790982.264774, lowerbound=1314998.264774, norm of subgrad 35.553067 stepsize= 1.000000
+dualbound = 3791004.353187, lowerbound=1314206.353187, norm of subgrad 1146.905120 dualbound = 3791004.353187, lowerbound=1314206.353187, norm of subgrad 34.743178 stepsize= 1.000000
+dualbound = 3791084.276175, lowerbound=1314744.276175, norm of subgrad 1147.098198 dualbound = 3791084.276175, lowerbound=1314744.276175, norm of subgrad 34.204137 stepsize= 1.000000
+dualbound = 3791163.195245, lowerbound=1310881.195245, norm of subgrad 1145.393467 dualbound = 3791163.195245, lowerbound=1310881.195245, norm of subgrad 33.524902 stepsize= 1.000000
+dualbound = 3791235.112374, lowerbound=1311133.112374, norm of subgrad 1145.521328 dualbound = 3791235.112374, lowerbound=1311133.112374, norm of subgrad 34.028181 stepsize= 1.000000
+dualbound = 3791261.474329, lowerbound=1311738.474329, norm of subgrad 1145.797309 dualbound = 3791261.474329, lowerbound=1311738.474329, norm of subgrad 33.754436 stepsize= 1.000000
+dualbound = 3791331.791489, lowerbound=1311488.791489, norm of subgrad 1145.706241 dualbound = 3791331.791489, lowerbound=1311488.791489, norm of subgrad 34.990244 stepsize= 1.000000
+dualbound = 3791375.712569, lowerbound=1315815.712569, norm of subgrad 1147.587780 dualbound = 3791375.712569, lowerbound=1315815.712569, norm of subgrad 34.437205 stepsize= 1.000000
+dualbound = 3791425.757710, lowerbound=1305943.757710, norm of subgrad 1143.289446 dualbound = 3791425.757710, lowerbound=1305943.757710, norm of subgrad 34.886174 stepsize= 1.000000
+dualbound = 3791481.985149, lowerbound=1310657.985149, norm of subgrad 1145.358016 dualbound = 3791481.985149, lowerbound=1310657.985149, norm of subgrad 35.259431 stepsize= 1.000000
+dualbound = 3791531.036918, lowerbound=1309068.036918, norm of subgrad 1144.674206 dualbound = 3791531.036918, lowerbound=1309068.036918, norm of subgrad 35.497208 stepsize= 1.000000
+dualbound = 3791581.461475, lowerbound=1317314.461475, norm of subgrad 1148.271946 dualbound = 3791581.461475, lowerbound=1317314.461475, norm of subgrad 35.558748 stepsize= 1.000000
+dualbound = 3791644.229277, lowerbound=1308738.229277, norm of subgrad 1144.499117 dualbound = 3791644.229277, lowerbound=1308738.229277, norm of subgrad 34.680943 stepsize= 1.000000
+dualbound = 3791734.273779, lowerbound=1305248.273779, norm of subgrad 1142.975185 dualbound = 3791734.273779, lowerbound=1305248.273779, norm of subgrad 35.128970 stepsize= 1.000000
+dualbound = 3791746.656367, lowerbound=1311617.656367, norm of subgrad 1145.750259 dualbound = 3791746.656367, lowerbound=1311617.656367, norm of subgrad 33.739926 stepsize= 1.000000
+dualbound = 3791836.930313, lowerbound=1311582.930313, norm of subgrad 1145.719394 dualbound = 3791836.930313, lowerbound=1311582.930313, norm of subgrad 34.355115 stepsize= 1.000000
+dualbound = 3791891.074116, lowerbound=1310803.074116, norm of subgrad 1145.390359 dualbound = 3791891.074116, lowerbound=1310803.074116, norm of subgrad 34.207365 stepsize= 1.000000
+dualbound = 3791936.613140, lowerbound=1308816.613140, norm of subgrad 1144.544282 dualbound = 3791936.613140, lowerbound=1308816.613140, norm of subgrad 34.792801 stepsize= 1.000000
+dualbound = 3791989.289195, lowerbound=1318764.289195, norm of subgrad 1148.879145 dualbound = 3791989.289195, lowerbound=1318764.289195, norm of subgrad 34.809138 stepsize= 1.000000
+dualbound = 3792037.403175, lowerbound=1312440.403175, norm of subgrad 1146.105756 dualbound = 3792037.403175, lowerbound=1312440.403175, norm of subgrad 34.148411 stepsize= 1.000000
+dualbound = 3792101.844973, lowerbound=1308393.844973, norm of subgrad 1144.363511 dualbound = 3792101.844973, lowerbound=1308393.844973, norm of subgrad 35.191502 stepsize= 1.000000
+dualbound = 3792151.578797, lowerbound=1313266.578797, norm of subgrad 1146.500580 dualbound = 3792151.578797, lowerbound=1313266.578797, norm of subgrad 35.309118 stepsize= 1.000000
+dualbound = 3792201.201711, lowerbound=1312177.201711, norm of subgrad 1146.027138 dualbound = 3792201.201711, lowerbound=1312177.201711, norm of subgrad 35.364147 stepsize= 1.000000
+dualbound = 3792254.457944, lowerbound=1312122.457944, norm of subgrad 1145.989292 dualbound = 3792254.457944, lowerbound=1312122.457944, norm of subgrad 34.960781 stepsize= 1.000000
+dualbound = 3792336.419489, lowerbound=1311835.419489, norm of subgrad 1145.847904 dualbound = 3792336.419489, lowerbound=1311835.419489, norm of subgrad 34.841951 stepsize= 1.000000
+dualbound = 3792383.326187, lowerbound=1314388.326187, norm of subgrad 1146.963524 dualbound = 3792383.326187, lowerbound=1314388.326187, norm of subgrad 34.407945 stepsize= 1.000000
+dualbound = 3792444.191405, lowerbound=1311356.191405, norm of subgrad 1145.652300 dualbound = 3792444.191405, lowerbound=1311356.191405, norm of subgrad 34.983785 stepsize= 1.000000
+dualbound = 3792492.243126, lowerbound=1309535.243126, norm of subgrad 1144.831098 dualbound = 3792492.243126, lowerbound=1309535.243126, norm of subgrad 33.927153 stepsize= 1.000000
+dualbound = 3792565.434697, lowerbound=1309399.434697, norm of subgrad 1144.751691 dualbound = 3792565.434697, lowerbound=1309399.434697, norm of subgrad 33.618322 stepsize= 1.000000
+dualbound = 3792638.435487, lowerbound=1306827.435487, norm of subgrad 1143.636059 dualbound = 3792638.435487, lowerbound=1306827.435487, norm of subgrad 33.896914 stepsize= 1.000000
+dualbound = 3792661.369947, lowerbound=1311161.369947, norm of subgrad 1145.553739 dualbound = 3792661.369947, lowerbound=1311161.369947, norm of subgrad 33.984327 stepsize= 1.000000
+dualbound = 3792723.315873, lowerbound=1307869.315873, norm of subgrad 1144.134746 dualbound = 3792723.315873, lowerbound=1307869.315873, norm of subgrad 35.170242 stepsize= 1.000000
+dualbound = 3792778.198541, lowerbound=1318264.198541, norm of subgrad 1148.643634 dualbound = 3792778.198541, lowerbound=1318264.198541, norm of subgrad 34.247375 stepsize= 1.000000
+dualbound = 3792840.153588, lowerbound=1308230.153588, norm of subgrad 1144.280190 dualbound = 3792840.153588, lowerbound=1308230.153588, norm of subgrad 34.770031 stepsize= 1.000000
+dualbound = 3792871.009668, lowerbound=1313670.009668, norm of subgrad 1146.676070 dualbound = 3792871.009668, lowerbound=1313670.009668, norm of subgrad 35.026505 stepsize= 1.000000
+dualbound = 3792923.448097, lowerbound=1307454.448097, norm of subgrad 1143.956926 dualbound = 3792923.448097, lowerbound=1307454.448097, norm of subgrad 35.148804 stepsize= 1.000000
+dualbound = 3792990.023015, lowerbound=1312390.023015, norm of subgrad 1146.108644 dualbound = 3792990.023015, lowerbound=1312390.023015, norm of subgrad 35.235989 stepsize= 1.000000
+dualbound = 3793054.085082, lowerbound=1309008.085082, norm of subgrad 1144.636224 dualbound = 3793054.085082, lowerbound=1309008.085082, norm of subgrad 35.327922 stepsize= 1.000000
+dualbound = 3793100.452579, lowerbound=1314433.452579, norm of subgrad 1146.985376 dualbound = 3793100.452579, lowerbound=1314433.452579, norm of subgrad 34.472707 stepsize= 1.000000
+dualbound = 3793175.347130, lowerbound=1310195.347130, norm of subgrad 1145.135078 dualbound = 3793175.347130, lowerbound=1310195.347130, norm of subgrad 34.840990 stepsize= 1.000000
+dualbound = 3793218.316860, lowerbound=1314745.316860, norm of subgrad 1147.105190 dualbound = 3793218.316860, lowerbound=1314745.316860, norm of subgrad 33.881702 stepsize= 1.000000
+dualbound = 3793314.915639, lowerbound=1312154.915639, norm of subgrad 1145.974658 dualbound = 3793314.915639, lowerbound=1312154.915639, norm of subgrad 34.635225 stepsize= 1.000000
+dualbound = 3793343.098473, lowerbound=1312905.098473, norm of subgrad 1146.330275 dualbound = 3793343.098473, lowerbound=1312905.098473, norm of subgrad 34.585876 stepsize= 1.000000
+dualbound = 3793397.297495, lowerbound=1311279.297495, norm of subgrad 1145.601719 dualbound = 3793397.297495, lowerbound=1311279.297495, norm of subgrad 34.324904 stepsize= 1.000000
+dualbound = 3793450.761200, lowerbound=1314686.761200, norm of subgrad 1147.119768 dualbound = 3793450.761200, lowerbound=1314686.761200, norm of subgrad 35.361896 stepsize= 1.000000
+dualbound = 3793474.565453, lowerbound=1307805.565453, norm of subgrad 1144.121307 dualbound = 3793474.565453, lowerbound=1307805.565453, norm of subgrad 35.097069 stepsize= 1.000000
+dualbound = 3793563.648240, lowerbound=1317086.648240, norm of subgrad 1148.147485 dualbound = 3793563.648240, lowerbound=1317086.648240, norm of subgrad 35.285731 stepsize= 1.000000
+dualbound = 3793600.778732, lowerbound=1312819.778732, norm of subgrad 1146.297858 dualbound = 3793600.778732, lowerbound=1312819.778732, norm of subgrad 34.873063 stepsize= 1.000000
+dualbound = 3793662.396787, lowerbound=1315174.396787, norm of subgrad 1147.310942 dualbound = 3793662.396787, lowerbound=1315174.396787, norm of subgrad 34.779564 stepsize= 1.000000
+dualbound = 3793741.496650, lowerbound=1307806.496650, norm of subgrad 1144.074952 dualbound = 3793741.496650, lowerbound=1307806.496650, norm of subgrad 34.352582 stepsize= 1.000000
+dualbound = 3793790.607111, lowerbound=1313186.607111, norm of subgrad 1146.433429 dualbound = 3793790.607111, lowerbound=1313186.607111, norm of subgrad 34.236099 stepsize= 1.000000
+dualbound = 3793835.295298, lowerbound=1309472.295298, norm of subgrad 1144.821076 dualbound = 3793835.295298, lowerbound=1309472.295298, norm of subgrad 34.462852 stepsize= 1.000000
+dualbound = 3793914.253015, lowerbound=1313433.253015, norm of subgrad 1146.526168 dualbound = 3793914.253015, lowerbound=1313433.253015, norm of subgrad 34.175396 stepsize= 1.000000
+dualbound = 3793973.413420, lowerbound=1312978.413420, norm of subgrad 1146.308167 dualbound = 3793973.413420, lowerbound=1312978.413420, norm of subgrad 33.213859 stepsize= 1.000000
+dualbound = 3794016.782627, lowerbound=1311197.782627, norm of subgrad 1145.561776 dualbound = 3794016.782627, lowerbound=1311197.782627, norm of subgrad 34.020129 stepsize= 1.000000
+dualbound = 3794070.502280, lowerbound=1316759.502280, norm of subgrad 1148.024173 dualbound = 3794070.502280, lowerbound=1316759.502280, norm of subgrad 35.407904 stepsize= 1.000000
+dualbound = 3794088.422111, lowerbound=1308828.422111, norm of subgrad 1144.586573 dualbound = 3794088.422111, lowerbound=1308828.422111, norm of subgrad 35.607862 stepsize= 1.000000
+dualbound = 3794162.045098, lowerbound=1308629.045098, norm of subgrad 1144.447048 dualbound = 3794162.045098, lowerbound=1308629.045098, norm of subgrad 34.693270 stepsize= 1.000000
+dualbound = 3794234.893658, lowerbound=1310535.893658, norm of subgrad 1145.287690 dualbound = 3794234.893658, lowerbound=1310535.893658, norm of subgrad 34.940643 stepsize= 1.000000
+dualbound = 3794302.705275, lowerbound=1310744.705275, norm of subgrad 1145.367061 dualbound = 3794302.705275, lowerbound=1310744.705275, norm of subgrad 34.479148 stepsize= 1.000000
+dualbound = 3794343.101767, lowerbound=1313387.101767, norm of subgrad 1146.524357 dualbound = 3794343.101767, lowerbound=1313387.101767, norm of subgrad 34.225670 stepsize= 1.000000
+dualbound = 3794393.303448, lowerbound=1310944.303448, norm of subgrad 1145.468596 dualbound = 3794393.303448, lowerbound=1310944.303448, norm of subgrad 34.701609 stepsize= 1.000000
+dualbound = 3794455.033972, lowerbound=1311309.033972, norm of subgrad 1145.620807 dualbound = 3794455.033972, lowerbound=1311309.033972, norm of subgrad 34.637126 stepsize= 1.000000
+dualbound = 3794502.685920, lowerbound=1315359.685920, norm of subgrad 1147.396046 dualbound = 3794502.685920, lowerbound=1315359.685920, norm of subgrad 34.722499 stepsize= 1.000000
+dualbound = 3794547.673772, lowerbound=1310424.673772, norm of subgrad 1145.248302 dualbound = 3794547.673772, lowerbound=1310424.673772, norm of subgrad 34.842328 stepsize= 1.000000
+dualbound = 3794627.585186, lowerbound=1309999.585186, norm of subgrad 1145.059643 dualbound = 3794627.585186, lowerbound=1309999.585186, norm of subgrad 35.240764 stepsize= 1.000000
+dualbound = 3794668.739253, lowerbound=1319428.739253, norm of subgrad 1149.158274 dualbound = 3794668.739253, lowerbound=1319428.739253, norm of subgrad 34.309679 stepsize= 1.000000
+dualbound = 3794734.614748, lowerbound=1314389.614748, norm of subgrad 1146.979780 dualbound = 3794734.614748, lowerbound=1314389.614748, norm of subgrad 35.197663 stepsize= 1.000000
+dualbound = 3794765.855774, lowerbound=1314128.855775, norm of subgrad 1146.863050 dualbound = 3794765.855774, lowerbound=1314128.855775, norm of subgrad 34.601171 stepsize= 1.000000
+dualbound = 3794852.747147, lowerbound=1308156.747147, norm of subgrad 1144.253358 dualbound = 3794852.747147, lowerbound=1308156.747147, norm of subgrad 35.297186 stepsize= 1.000000
+dualbound = 3794911.630234, lowerbound=1310727.630234, norm of subgrad 1145.382744 dualbound = 3794911.630234, lowerbound=1310727.630234, norm of subgrad 35.112435 stepsize= 1.000000
+dualbound = 3794965.263910, lowerbound=1311886.263910, norm of subgrad 1145.871399 dualbound = 3794965.263910, lowerbound=1311886.263910, norm of subgrad 34.476567 stepsize= 1.000000
+dualbound = 3795018.887631, lowerbound=1311084.887631, norm of subgrad 1145.525594 dualbound = 3795018.887631, lowerbound=1311084.887631, norm of subgrad 34.606701 stepsize= 1.000000
+dualbound = 3795088.265770, lowerbound=1309281.265770, norm of subgrad 1144.706629 dualbound = 3795088.265770, lowerbound=1309281.265770, norm of subgrad 33.784288 stepsize= 1.000000
+dualbound = 3795167.563840, lowerbound=1316908.563840, norm of subgrad 1148.027684 dualbound = 3795167.563840, lowerbound=1316908.563840, norm of subgrad 33.738673 stepsize= 1.000000
+dualbound = 3795204.544804, lowerbound=1304137.544804, norm of subgrad 1142.511070 dualbound = 3795204.544804, lowerbound=1304137.544804, norm of subgrad 35.085338 stepsize= 1.000000
+dualbound = 3795239.628627, lowerbound=1313041.628627, norm of subgrad 1146.358421 dualbound = 3795239.628627, lowerbound=1313041.628627, norm of subgrad 33.631590 stepsize= 1.000000
+dualbound = 3795317.855581, lowerbound=1315298.855581, norm of subgrad 1147.352542 dualbound = 3795317.855581, lowerbound=1315298.855581, norm of subgrad 34.600968 stepsize= 1.000000
+dualbound = 3795372.645180, lowerbound=1314287.645180, norm of subgrad 1146.902195 dualbound = 3795372.645180, lowerbound=1314287.645180, norm of subgrad 33.938026 stepsize= 1.000000
+dualbound = 3795421.297110, lowerbound=1311187.297110, norm of subgrad 1145.551525 dualbound = 3795421.297110, lowerbound=1311187.297110, norm of subgrad 33.906518 stepsize= 1.000000
+dualbound = 3795501.904276, lowerbound=1307912.904276, norm of subgrad 1144.105285 dualbound = 3795501.904276, lowerbound=1307912.904276, norm of subgrad 33.832043 stepsize= 1.000000
+dualbound = 3795551.370515, lowerbound=1312564.370515, norm of subgrad 1146.152420 dualbound = 3795551.370515, lowerbound=1312564.370515, norm of subgrad 33.918524 stepsize= 1.000000
+dualbound = 3795607.776320, lowerbound=1314832.776320, norm of subgrad 1147.147670 dualbound = 3795607.776320, lowerbound=1314832.776320, norm of subgrad 34.225806 stepsize= 1.000000
+dualbound = 3795650.283993, lowerbound=1313496.283993, norm of subgrad 1146.559760 dualbound = 3795650.283993, lowerbound=1313496.283993, norm of subgrad 33.845349 stepsize= 1.000000
+dualbound = 3795711.688204, lowerbound=1313262.688204, norm of subgrad 1146.477077 dualbound = 3795711.688204, lowerbound=1313262.688204, norm of subgrad 34.762109 stepsize= 1.000000
+dualbound = 3795739.367968, lowerbound=1312279.367968, norm of subgrad 1146.049025 dualbound = 3795739.367968, lowerbound=1312279.367968, norm of subgrad 34.302766 stepsize= 1.000000
+dualbound = 3795832.301940, lowerbound=1313013.301940, norm of subgrad 1146.351300 dualbound = 3795832.301940, lowerbound=1313013.301940, norm of subgrad 34.654494 stepsize= 1.000000
+dualbound = 3795886.295832, lowerbound=1316645.295832, norm of subgrad 1147.943943 dualbound = 3795886.295832, lowerbound=1316645.295832, norm of subgrad 34.409212 stepsize= 1.000000
+dualbound = 3795944.119220, lowerbound=1309632.119220, norm of subgrad 1144.866857 dualbound = 3795944.119220, lowerbound=1309632.119220, norm of subgrad 33.850013 stepsize= 1.000000
+dualbound = 3795994.374030, lowerbound=1312209.374030, norm of subgrad 1146.005399 dualbound = 3795994.374030, lowerbound=1312209.374030, norm of subgrad 34.194368 stepsize= 1.000000
+dualbound = 3796051.717991, lowerbound=1312773.717991, norm of subgrad 1146.221496 dualbound = 3796051.717991, lowerbound=1312773.717991, norm of subgrad 33.276778 stepsize= 1.000000
+dualbound = 3796114.431648, lowerbound=1313982.431648, norm of subgrad 1146.787876 dualbound = 3796114.431648, lowerbound=1313982.431648, norm of subgrad 34.680162 stepsize= 1.000000
+dualbound = 3796150.893179, lowerbound=1311936.893179, norm of subgrad 1145.894800 dualbound = 3796150.893179, lowerbound=1311936.893179, norm of subgrad 34.270418 stepsize= 1.000000
+dualbound = 3796186.305027, lowerbound=1315116.305027, norm of subgrad 1147.309594 dualbound = 3796186.305027, lowerbound=1315116.305027, norm of subgrad 35.191076 stepsize= 1.000000
+dualbound = 3796253.407828, lowerbound=1309092.407828, norm of subgrad 1144.645538 dualbound = 3796253.407828, lowerbound=1309092.407828, norm of subgrad 34.468867 stepsize= 1.000000
+dualbound = 3796334.001427, lowerbound=1313031.001427, norm of subgrad 1146.374721 dualbound = 3796334.001427, lowerbound=1313031.001427, norm of subgrad 34.994194 stepsize= 1.000000
+dualbound = 3796368.235237, lowerbound=1311715.235237, norm of subgrad 1145.810296 dualbound = 3796368.235237, lowerbound=1311715.235237, norm of subgrad 34.644391 stepsize= 1.000000
+dualbound = 3796419.624918, lowerbound=1314937.624918, norm of subgrad 1147.217776 dualbound = 3796419.624918, lowerbound=1314937.624918, norm of subgrad 34.962690 stepsize= 1.000000
+dualbound = 3796482.552014, lowerbound=1312682.552014, norm of subgrad 1146.208337 dualbound = 3796482.552014, lowerbound=1312682.552014, norm of subgrad 34.262620 stepsize= 1.000000
+dualbound = 3796556.622891, lowerbound=1308371.622891, norm of subgrad 1144.329333 dualbound = 3796556.622891, lowerbound=1308371.622891, norm of subgrad 34.526379 stepsize= 1.000000
+dualbound = 3796596.368137, lowerbound=1312886.368137, norm of subgrad 1146.320796 dualbound = 3796596.368137, lowerbound=1312886.368137, norm of subgrad 34.709440 stepsize= 1.000000
+dualbound = 3796659.885464, lowerbound=1314829.885464, norm of subgrad 1147.152512 dualbound = 3796659.885464, lowerbound=1314829.885464, norm of subgrad 34.532844 stepsize= 1.000000
+dualbound = 3796705.187202, lowerbound=1312126.187202, norm of subgrad 1145.980884 dualbound = 3796705.187202, lowerbound=1312126.187202, norm of subgrad 34.515239 stepsize= 1.000000
+dualbound = 3796769.272130, lowerbound=1311665.272130, norm of subgrad 1145.774529 dualbound = 3796769.272130, lowerbound=1311665.272130, norm of subgrad 34.613363 stepsize= 1.000000
+dualbound = 3796838.235825, lowerbound=1313301.235825, norm of subgrad 1146.459871 dualbound = 3796838.235825, lowerbound=1313301.235825, norm of subgrad 33.733717 stepsize= 1.000000
+dualbound = 3796899.437548, lowerbound=1313773.437548, norm of subgrad 1146.706779 dualbound = 3796899.437548, lowerbound=1313773.437548, norm of subgrad 34.988594 stepsize= 1.000000
+dualbound = 3796936.324541, lowerbound=1313417.324541, norm of subgrad 1146.524891 dualbound = 3796936.324541, lowerbound=1313417.324541, norm of subgrad 33.747400 stepsize= 1.000000
+dualbound = 3797015.913560, lowerbound=1315539.913560, norm of subgrad 1147.453229 dualbound = 3797015.913560, lowerbound=1315539.913560, norm of subgrad 34.475919 stepsize= 1.000000
+dualbound = 3797050.697031, lowerbound=1311581.697031, norm of subgrad 1145.768605 dualbound = 3797050.697031, lowerbound=1311581.697031, norm of subgrad 35.196356 stepsize= 1.000000
+dualbound = 3797069.575304, lowerbound=1313460.575304, norm of subgrad 1146.570353 dualbound = 3797069.575304, lowerbound=1313460.575304, norm of subgrad 34.378457 stepsize= 1.000000
+dualbound = 3797177.398230, lowerbound=1309600.398230, norm of subgrad 1144.864358 dualbound = 3797177.398230, lowerbound=1309600.398230, norm of subgrad 34.954584 stepsize= 1.000000
+dualbound = 3797216.696627, lowerbound=1318895.696627, norm of subgrad 1148.938944 dualbound = 3797216.696627, lowerbound=1318895.696627, norm of subgrad 34.703003 stepsize= 1.000000
+dualbound = 3797260.261056, lowerbound=1307094.261056, norm of subgrad 1143.785933 dualbound = 3797260.261056, lowerbound=1307094.261056, norm of subgrad 34.576935 stepsize= 1.000000
+dualbound = 3797315.127342, lowerbound=1309951.127342, norm of subgrad 1145.042413 dualbound = 3797315.127342, lowerbound=1309951.127342, norm of subgrad 35.012373 stepsize= 1.000000
+dualbound = 3797374.406599, lowerbound=1308178.406599, norm of subgrad 1144.268940 dualbound = 3797374.406599, lowerbound=1308178.406599, norm of subgrad 35.103835 stepsize= 1.000000
+dualbound = 3797415.714701, lowerbound=1314981.714701, norm of subgrad 1147.217815 dualbound = 3797415.714701, lowerbound=1314981.714701, norm of subgrad 34.180522 stepsize= 1.000000
+dualbound = 3797476.837146, lowerbound=1311043.837146, norm of subgrad 1145.501129 dualbound = 3797476.837146, lowerbound=1311043.837146, norm of subgrad 34.498151 stepsize= 1.000000
+dualbound = 3797538.614195, lowerbound=1310517.614195, norm of subgrad 1145.265740 dualbound = 3797538.614195, lowerbound=1310517.614195, norm of subgrad 34.318757 stepsize= 1.000000
+dualbound = 3797614.132308, lowerbound=1310699.132308, norm of subgrad 1145.338436 dualbound = 3797614.132308, lowerbound=1310699.132308, norm of subgrad 34.300410 stepsize= 1.000000
+dualbound = 3797636.573557, lowerbound=1314126.573557, norm of subgrad 1146.884725 dualbound = 3797636.573557, lowerbound=1314126.573557, norm of subgrad 35.219898 stepsize= 1.000000
+dualbound = 3797697.617653, lowerbound=1307534.617653, norm of subgrad 1143.969675 dualbound = 3797697.617653, lowerbound=1307534.617653, norm of subgrad 34.540470 stepsize= 1.000000
+dualbound = 3797787.414304, lowerbound=1313222.414304, norm of subgrad 1146.438142 dualbound = 3797787.414304, lowerbound=1313222.414304, norm of subgrad 34.464426 stepsize= 1.000000
+dualbound = 3797845.194190, lowerbound=1313754.194190, norm of subgrad 1146.674842 dualbound = 3797845.194190, lowerbound=1313754.194190, norm of subgrad 34.158160 stepsize= 1.000000
+dualbound = 3797903.255372, lowerbound=1314172.255372, norm of subgrad 1146.851017 dualbound = 3797903.255372, lowerbound=1314172.255372, norm of subgrad 33.956755 stepsize= 1.000000
+dualbound = 3797957.920381, lowerbound=1307967.920381, norm of subgrad 1144.138069 dualbound = 3797957.920381, lowerbound=1307967.920381, norm of subgrad 33.744111 stepsize= 1.000000
+dualbound = 3798002.798734, lowerbound=1315568.798734, norm of subgrad 1147.479760 dualbound = 3798002.798734, lowerbound=1315568.798734, norm of subgrad 34.436585 stepsize= 1.000000
+dualbound = 3798046.224926, lowerbound=1311757.224926, norm of subgrad 1145.808546 dualbound = 3798046.224926, lowerbound=1311757.224926, norm of subgrad 34.109034 stepsize= 1.000000
+dualbound = 3798115.994656, lowerbound=1308144.994656, norm of subgrad 1144.232055 dualbound = 3798115.994656, lowerbound=1308144.994656, norm of subgrad 34.522018 stepsize= 1.000000
+dualbound = 3798156.757486, lowerbound=1317662.757486, norm of subgrad 1148.403569 dualbound = 3798156.757486, lowerbound=1317662.757486, norm of subgrad 34.767267 stepsize= 1.000000
+dualbound = 3798240.810726, lowerbound=1311572.810726, norm of subgrad 1145.744653 dualbound = 3798240.810726, lowerbound=1311572.810726, norm of subgrad 35.242776 stepsize= 1.000000
+dualbound = 3798265.872211, lowerbound=1319776.872211, norm of subgrad 1149.320178 dualbound = 3798265.872211, lowerbound=1319776.872211, norm of subgrad 34.424722 stepsize= 1.000000
+dualbound = 3798321.861382, lowerbound=1308699.861382, norm of subgrad 1144.484540 dualbound = 3798321.861382, lowerbound=1308699.861382, norm of subgrad 34.655291 stepsize= 1.000000
+dualbound = 3798364.333891, lowerbound=1315057.333891, norm of subgrad 1147.284330 dualbound = 3798364.333891, lowerbound=1315057.333891, norm of subgrad 35.305418 stepsize= 1.000000
+dualbound = 3798433.668264, lowerbound=1308446.668264, norm of subgrad 1144.386153 dualbound = 3798433.668264, lowerbound=1308446.668264, norm of subgrad 35.246764 stepsize= 1.000000
+dualbound = 3798469.249303, lowerbound=1312238.249303, norm of subgrad 1146.030213 dualbound = 3798469.249303, lowerbound=1312238.249303, norm of subgrad 34.388676 stepsize= 1.000000
+dualbound = 3798579.483463, lowerbound=1310419.483463, norm of subgrad 1145.215475 dualbound = 3798579.483463, lowerbound=1310419.483463, norm of subgrad 34.774044 stepsize= 1.000000
+dualbound = 3798611.575150, lowerbound=1319479.575150, norm of subgrad 1149.171256 dualbound = 3798611.575150, lowerbound=1319479.575150, norm of subgrad 33.868742 stepsize= 1.000000
+dualbound = 3798682.171367, lowerbound=1312543.171367, norm of subgrad 1146.140119 dualbound = 3798682.171367, lowerbound=1312543.171367, norm of subgrad 34.126181 stepsize= 1.000000
+dualbound = 3798727.844295, lowerbound=1312445.844295, norm of subgrad 1146.123398 dualbound = 3798727.844295, lowerbound=1312445.844295, norm of subgrad 34.621856 stepsize= 1.000000
+dualbound = 3798776.289296, lowerbound=1313221.289296, norm of subgrad 1146.468181 dualbound = 3798776.289296, lowerbound=1313221.289296, norm of subgrad 34.877572 stepsize= 1.000000
+dualbound = 3798824.907889, lowerbound=1313894.907889, norm of subgrad 1146.775439 dualbound = 3798824.907889, lowerbound=1313894.907889, norm of subgrad 35.321645 stepsize= 1.000000
+dualbound = 3798869.240282, lowerbound=1316679.240282, norm of subgrad 1147.972665 dualbound = 3798869.240282, lowerbound=1316679.240282, norm of subgrad 34.732296 stepsize= 1.000000
+dualbound = 3798948.655149, lowerbound=1309382.655149, norm of subgrad 1144.778867 dualbound = 3798948.655149, lowerbound=1309382.655149, norm of subgrad 34.862801 stepsize= 1.000000
+dualbound = 3799008.477351, lowerbound=1318025.477351, norm of subgrad 1148.532314 dualbound = 3799008.477351, lowerbound=1318025.477351, norm of subgrad 34.070841 stepsize= 1.000000
+dualbound = 3799074.985180, lowerbound=1309501.985180, norm of subgrad 1144.848455 dualbound = 3799074.985180, lowerbound=1309501.985180, norm of subgrad 35.249225 stepsize= 1.000000
+dualbound = 3799094.632322, lowerbound=1314630.632322, norm of subgrad 1147.070892 dualbound = 3799094.632322, lowerbound=1314630.632322, norm of subgrad 34.068272 stepsize= 1.000000
+dualbound = 3799173.654689, lowerbound=1308760.654689, norm of subgrad 1144.501924 dualbound = 3799173.654689, lowerbound=1308760.654689, norm of subgrad 34.684613 stepsize= 1.000000
+dualbound = 3799233.657493, lowerbound=1313827.657493, norm of subgrad 1146.722136 dualbound = 3799233.657493, lowerbound=1313827.657493, norm of subgrad 34.698744 stepsize= 1.000000
+dualbound = 3799263.369150, lowerbound=1311696.369150, norm of subgrad 1145.808173 dualbound = 3799263.369150, lowerbound=1311696.369150, norm of subgrad 34.780909 stepsize= 1.000000
+dualbound = 3799312.062224, lowerbound=1310518.062224, norm of subgrad 1145.281652 dualbound = 3799312.062224, lowerbound=1310518.062224, norm of subgrad 34.651018 stepsize= 1.000000
+dualbound = 3799388.191943, lowerbound=1314283.191943, norm of subgrad 1146.888483 dualbound = 3799388.191943, lowerbound=1314283.191943, norm of subgrad 33.854538 stepsize= 1.000000
+dualbound = 3799456.833024, lowerbound=1314342.833024, norm of subgrad 1146.943256 dualbound = 3799456.833024, lowerbound=1314342.833024, norm of subgrad 34.707940 stepsize= 1.000000
+dualbound = 3799458.478210, lowerbound=1315126.478210, norm of subgrad 1147.298775 dualbound = 3799458.478210, lowerbound=1315126.478210, norm of subgrad 34.200076 stepsize= 1.000000
+dualbound = 3799552.842587, lowerbound=1309769.842587, norm of subgrad 1144.917396 dualbound = 3799552.842587, lowerbound=1309769.842587, norm of subgrad 34.064122 stepsize= 1.000000
+dualbound = 3799598.448176, lowerbound=1308183.448176, norm of subgrad 1144.259782 dualbound = 3799598.448176, lowerbound=1308183.448176, norm of subgrad 34.534122 stepsize= 1.000000
+dualbound = 3799657.594710, lowerbound=1313574.594710, norm of subgrad 1146.600451 dualbound = 3799657.594710, lowerbound=1313574.594710, norm of subgrad 34.309569 stepsize= 1.000000
+dualbound = 3799720.229111, lowerbound=1313180.229111, norm of subgrad 1146.417999 dualbound = 3799720.229111, lowerbound=1313180.229111, norm of subgrad 34.009328 stepsize= 1.000000
+dualbound = 3799779.502456, lowerbound=1313053.502456, norm of subgrad 1146.385844 dualbound = 3799779.502456, lowerbound=1313053.502456, norm of subgrad 34.731446 stepsize= 1.000000
+dualbound = 3799823.017338, lowerbound=1316374.017338, norm of subgrad 1147.860626 dualbound = 3799823.017338, lowerbound=1316374.017338, norm of subgrad 35.405012 stepsize= 1.000000
+dualbound = 3799878.632639, lowerbound=1314997.632639, norm of subgrad 1147.249159 dualbound = 3799878.632639, lowerbound=1314997.632639, norm of subgrad 35.193967 stepsize= 1.000000
+dualbound = 3799932.169116, lowerbound=1311544.169116, norm of subgrad 1145.729099 dualbound = 3799932.169116, lowerbound=1311544.169116, norm of subgrad 34.706433 stepsize= 1.000000
+dualbound = 3799984.634449, lowerbound=1313739.634449, norm of subgrad 1146.692476 dualbound = 3799984.634449, lowerbound=1313739.634449, norm of subgrad 34.877863 stepsize= 1.000000
+dualbound = 3800038.561465, lowerbound=1312710.561465, norm of subgrad 1146.220555 dualbound = 3800038.561465, lowerbound=1312710.561465, norm of subgrad 34.131027 stepsize= 1.000000
+dualbound = 3800105.951331, lowerbound=1311685.951331, norm of subgrad 1145.796645 dualbound = 3800105.951331, lowerbound=1311685.951331, norm of subgrad 35.091165 stepsize= 1.000000
+dualbound = 3800129.095800, lowerbound=1316185.095800, norm of subgrad 1147.794884 dualbound = 3800129.095800, lowerbound=1316185.095800, norm of subgrad 35.653113 stepsize= 1.000000
+dualbound = 3800194.981155, lowerbound=1310489.981155, norm of subgrad 1145.267646 dualbound = 3800194.981155, lowerbound=1310489.981155, norm of subgrad 34.840858 stepsize= 1.000000
+dualbound = 3800255.921498, lowerbound=1315013.921498, norm of subgrad 1147.273255 dualbound = 3800255.921498, lowerbound=1315013.921498, norm of subgrad 35.818157 stepsize= 1.000000
+dualbound = 3800295.272402, lowerbound=1312667.272402, norm of subgrad 1146.205598 dualbound = 3800295.272402, lowerbound=1312667.272402, norm of subgrad 34.049242 stepsize= 1.000000
+dualbound = 3800384.461960, lowerbound=1312909.461960, norm of subgrad 1146.323018 dualbound = 3800384.461960, lowerbound=1312909.461960, norm of subgrad 35.159487 stepsize= 1.000000
+dualbound = 3800431.931752, lowerbound=1310731.931752, norm of subgrad 1145.374581 dualbound = 3800431.931752, lowerbound=1310731.931752, norm of subgrad 34.618922 stepsize= 1.000000
+dualbound = 3800489.128503, lowerbound=1312792.128503, norm of subgrad 1146.252210 dualbound = 3800489.128503, lowerbound=1312792.128503, norm of subgrad 34.046979 stepsize= 1.000000
+dualbound = 3800555.320692, lowerbound=1312448.320692, norm of subgrad 1146.073000 dualbound = 3800555.320692, lowerbound=1312448.320692, norm of subgrad 33.184216 stepsize= 1.000000
+dualbound = 3800619.261298, lowerbound=1313275.261298, norm of subgrad 1146.478199 dualbound = 3800619.261298, lowerbound=1313275.261298, norm of subgrad 34.654590 stepsize= 1.000000
+dualbound = 3800654.182503, lowerbound=1307655.182503, norm of subgrad 1144.015377 dualbound = 3800654.182503, lowerbound=1307655.182503, norm of subgrad 33.925230 stepsize= 1.000000
+dualbound = 3800710.905448, lowerbound=1317993.905448, norm of subgrad 1148.528583 dualbound = 3800710.905448, lowerbound=1317993.905448, norm of subgrad 34.361649 stepsize= 1.000000
+dualbound = 3800769.934665, lowerbound=1310911.934665, norm of subgrad 1145.438316 dualbound = 3800769.934665, lowerbound=1310911.934665, norm of subgrad 34.293282 stepsize= 1.000000
+dualbound = 3800817.661035, lowerbound=1313634.661035, norm of subgrad 1146.652371 dualbound = 3800817.661035, lowerbound=1313634.661035, norm of subgrad 34.996091 stepsize= 1.000000
+dualbound = 3800873.756793, lowerbound=1314802.756793, norm of subgrad 1147.149405 dualbound = 3800873.756793, lowerbound=1314802.756793, norm of subgrad 34.714489 stepsize= 1.000000
+dualbound = 3800935.516647, lowerbound=1316873.516647, norm of subgrad 1148.042036 dualbound = 3800935.516647, lowerbound=1316873.516647, norm of subgrad 34.478397 stepsize= 1.000000
+dualbound = 3800995.570908, lowerbound=1311971.570908, norm of subgrad 1145.912113 dualbound = 3800995.570908, lowerbound=1311971.570908, norm of subgrad 34.685073 stepsize= 1.000000
+dualbound = 3801041.683725, lowerbound=1312050.683725, norm of subgrad 1145.929616 dualbound = 3801041.683725, lowerbound=1312050.683725, norm of subgrad 33.913313 stepsize= 1.000000
+dualbound = 3801109.040839, lowerbound=1313397.040839, norm of subgrad 1146.533053 dualbound = 3801109.040839, lowerbound=1313397.040839, norm of subgrad 34.761431 stepsize= 1.000000
+dualbound = 3801155.726783, lowerbound=1312691.726783, norm of subgrad 1146.207541 dualbound = 3801155.726783, lowerbound=1312691.726783, norm of subgrad 33.862752 stepsize= 1.000000
+dualbound = 3801210.891969, lowerbound=1314145.891969, norm of subgrad 1146.867426 dualbound = 3801210.891969, lowerbound=1314145.891969, norm of subgrad 34.844873 stepsize= 1.000000
+dualbound = 3801246.194017, lowerbound=1313690.194017, norm of subgrad 1146.622080 dualbound = 3801246.194017, lowerbound=1313690.194017, norm of subgrad 32.974263 stepsize= 1.000000
+dualbound = 3801336.545733, lowerbound=1307296.545733, norm of subgrad 1143.846382 dualbound = 3801336.545733, lowerbound=1307296.545733, norm of subgrad 34.327128 stepsize= 1.000000
+dualbound = 3801371.110079, lowerbound=1318344.110079, norm of subgrad 1148.685819 dualbound = 3801371.110079, lowerbound=1318344.110079, norm of subgrad 34.198894 stepsize= 1.000000
+dualbound = 3801443.265177, lowerbound=1309748.265177, norm of subgrad 1144.913213 dualbound = 3801443.265177, lowerbound=1309748.265177, norm of subgrad 33.913937 stepsize= 1.000000
+dualbound = 3801478.694275, lowerbound=1314943.694275, norm of subgrad 1147.205167 dualbound = 3801478.694275, lowerbound=1314943.694275, norm of subgrad 34.226146 stepsize= 1.000000
+dualbound = 3801549.669389, lowerbound=1310146.669389, norm of subgrad 1145.132162 dualbound = 3801549.669389, lowerbound=1310146.669389, norm of subgrad 35.383260 stepsize= 1.000000
+dualbound = 3801584.108060, lowerbound=1311970.108060, norm of subgrad 1145.923692 dualbound = 3801584.108060, lowerbound=1311970.108060, norm of subgrad 34.719428 stepsize= 1.000000
+dualbound = 3801642.165816, lowerbound=1313126.165816, norm of subgrad 1146.419280 dualbound = 3801642.165816, lowerbound=1313126.165816, norm of subgrad 34.771508 stepsize= 1.000000
+dualbound = 3801706.243039, lowerbound=1313956.243039, norm of subgrad 1146.756837 dualbound = 3801706.243039, lowerbound=1313956.243039, norm of subgrad 34.045223 stepsize= 1.000000
+dualbound = 3801772.196277, lowerbound=1315813.196277, norm of subgrad 1147.591912 dualbound = 3801772.196277, lowerbound=1315813.196277, norm of subgrad 34.927829 stepsize= 1.000000
+dualbound = 3801816.994082, lowerbound=1312205.994082, norm of subgrad 1145.997380 dualbound = 3801816.994082, lowerbound=1312205.994082, norm of subgrad 33.893920 stepsize= 1.000000
+dualbound = 3801883.702352, lowerbound=1310175.702352, norm of subgrad 1145.120388 dualbound = 3801883.702352, lowerbound=1310175.702352, norm of subgrad 34.521128 stepsize= 1.000000
+dualbound = 3801939.837925, lowerbound=1313172.837925, norm of subgrad 1146.433966 dualbound = 3801939.837925, lowerbound=1313172.837925, norm of subgrad 34.556267 stepsize= 1.000000
+dualbound = 3801988.871861, lowerbound=1309771.871861, norm of subgrad 1144.927016 dualbound = 3801988.871861, lowerbound=1309771.871861, norm of subgrad 33.690265 stepsize= 1.000000
+dualbound = 3802072.240863, lowerbound=1317042.240863, norm of subgrad 1148.112033 dualbound = 3802072.240863, lowerbound=1317042.240863, norm of subgrad 34.675193 stepsize= 1.000000
+dualbound = 3802088.693578, lowerbound=1314763.693578, norm of subgrad 1147.124969 dualbound = 3802088.693578, lowerbound=1314763.693578, norm of subgrad 33.888829 stepsize= 1.000000
+dualbound = 3802173.325930, lowerbound=1310950.325930, norm of subgrad 1145.452455 dualbound = 3802173.325930, lowerbound=1310950.325930, norm of subgrad 34.577917 stepsize= 1.000000
+dualbound = 3802206.175845, lowerbound=1316974.175845, norm of subgrad 1148.105472 dualbound = 3802206.175845, lowerbound=1316974.175845, norm of subgrad 34.710948 stepsize= 1.000000
+dualbound = 3802277.301853, lowerbound=1310230.301853, norm of subgrad 1145.119776 dualbound = 3802277.301853, lowerbound=1310230.301853, norm of subgrad 33.765752 stepsize= 1.000000
+dualbound = 3802349.341947, lowerbound=1314704.341947, norm of subgrad 1147.088201 dualbound = 3802349.341947, lowerbound=1314704.341947, norm of subgrad 34.337153 stepsize= 1.000000
+dualbound = 3802378.390053, lowerbound=1313572.390053, norm of subgrad 1146.607339 dualbound = 3802378.390053, lowerbound=1313572.390053, norm of subgrad 34.132801 stepsize= 1.000000
+dualbound = 3802418.384431, lowerbound=1317866.384431, norm of subgrad 1148.507459 dualbound = 3802418.384431, lowerbound=1317866.384431, norm of subgrad 35.256125 stepsize= 1.000000
+dualbound = 3802476.386557, lowerbound=1313297.386557, norm of subgrad 1146.498315 dualbound = 3802476.386557, lowerbound=1313297.386557, norm of subgrad 34.914211 stepsize= 1.000000
+dualbound = 3802549.122347, lowerbound=1311556.122347, norm of subgrad 1145.709004 dualbound = 3802549.122347, lowerbound=1311556.122347, norm of subgrad 34.142873 stepsize= 1.000000
+dualbound = 3802596.100408, lowerbound=1319501.100408, norm of subgrad 1149.201506 dualbound = 3802596.100408, lowerbound=1319501.100408, norm of subgrad 34.784739 stepsize= 1.000000
+dualbound = 3802648.876671, lowerbound=1307036.876671, norm of subgrad 1143.748607 dualbound = 3802648.876671, lowerbound=1307036.876671, norm of subgrad 34.304173 stepsize= 1.000000
+dualbound = 3802697.371370, lowerbound=1319195.371370, norm of subgrad 1149.059342 dualbound = 3802697.371370, lowerbound=1319195.371370, norm of subgrad 34.503546 stepsize= 1.000000
+dualbound = 3802764.288250, lowerbound=1308472.288250, norm of subgrad 1144.353655 dualbound = 3802764.288250, lowerbound=1308472.288250, norm of subgrad 33.762655 stepsize= 1.000000
+dualbound = 3802811.836549, lowerbound=1315192.836549, norm of subgrad 1147.336845 dualbound = 3802811.836549, lowerbound=1315192.836549, norm of subgrad 35.164589 stepsize= 1.000000
+dualbound = 3802853.294261, lowerbound=1314967.294261, norm of subgrad 1147.241602 dualbound = 3802853.294261, lowerbound=1314967.294261, norm of subgrad 35.177517 stepsize= 1.000000
+dualbound = 3802908.473583, lowerbound=1310086.473583, norm of subgrad 1145.108935 dualbound = 3802908.473583, lowerbound=1310086.473583, norm of subgrad 35.258748 stepsize= 1.000000
+dualbound = 3802978.325609, lowerbound=1319575.325609, norm of subgrad 1149.234670 dualbound = 3802978.325609, lowerbound=1319575.325609, norm of subgrad 35.140461 stepsize= 1.000000
+dualbound = 3803037.083232, lowerbound=1315735.083232, norm of subgrad 1147.573128 dualbound = 3803037.083232, lowerbound=1315735.083232, norm of subgrad 35.323613 stepsize= 1.000000
+dualbound = 3803077.729139, lowerbound=1314128.729139, norm of subgrad 1146.851224 dualbound = 3803077.729139, lowerbound=1314128.729139, norm of subgrad 34.345974 stepsize= 1.000000
+dualbound = 3803144.643691, lowerbound=1314162.643691, norm of subgrad 1146.882576 dualbound = 3803144.643691, lowerbound=1314162.643691, norm of subgrad 35.269173 stepsize= 1.000000
+dualbound = 3803218.691703, lowerbound=1314736.691703, norm of subgrad 1147.097072 dualbound = 3803218.691703, lowerbound=1314736.691703, norm of subgrad 34.191344 stepsize= 1.000000
+dualbound = 3803272.448275, lowerbound=1307403.448275, norm of subgrad 1143.900541 dualbound = 3803272.448275, lowerbound=1307403.448275, norm of subgrad 34.040514 stepsize= 1.000000
+dualbound = 3803323.078076, lowerbound=1317021.078076, norm of subgrad 1148.077993 dualbound = 3803323.078076, lowerbound=1317021.078076, norm of subgrad 33.356106 stepsize= 1.000000
+dualbound = 3803377.908617, lowerbound=1310978.908617, norm of subgrad 1145.456638 dualbound = 3803377.908617, lowerbound=1310978.908617, norm of subgrad 33.864887 stepsize= 1.000000
+dualbound = 3803428.546210, lowerbound=1316015.546210, norm of subgrad 1147.650010 dualbound = 3803428.546210, lowerbound=1316015.546210, norm of subgrad 33.699222 stepsize= 1.000000
+dualbound = 3803487.749303, lowerbound=1307764.749303, norm of subgrad 1144.072878 dualbound = 3803487.749303, lowerbound=1307764.749303, norm of subgrad 34.600623 stepsize= 1.000000
+dualbound = 3803524.883163, lowerbound=1310827.883163, norm of subgrad 1145.421705 dualbound = 3803524.883163, lowerbound=1310827.883163, norm of subgrad 34.642948 stepsize= 1.000000
+dualbound = 3803618.244276, lowerbound=1312325.244276, norm of subgrad 1146.048099 dualbound = 3803618.244276, lowerbound=1312325.244276, norm of subgrad 34.559530 stepsize= 1.000000
+dualbound = 3803659.919792, lowerbound=1317808.919792, norm of subgrad 1148.469817 dualbound = 3803659.919792, lowerbound=1317808.919792, norm of subgrad 34.866539 stepsize= 1.000000
+dualbound = 3803682.790634, lowerbound=1309611.790634, norm of subgrad 1144.888113 dualbound = 3803682.790634, lowerbound=1309611.790634, norm of subgrad 34.349248 stepsize= 1.000000
+dualbound = 3803755.421183, lowerbound=1305544.421183, norm of subgrad 1143.114352 dualbound = 3803755.421183, lowerbound=1305544.421183, norm of subgrad 35.194183 stepsize= 1.000000
+dualbound = 3803819.186190, lowerbound=1320885.186190, norm of subgrad 1149.790497 dualbound = 3803819.186190, lowerbound=1320885.186190, norm of subgrad 34.594292 stepsize= 1.000000
+dualbound = 3803867.536626, lowerbound=1311196.536626, norm of subgrad 1145.545519 dualbound = 3803867.536626, lowerbound=1311196.536626, norm of subgrad 33.561145 stepsize= 1.000000
+dualbound = 3803943.859976, lowerbound=1311210.859976, norm of subgrad 1145.598472 dualbound = 3803943.859976, lowerbound=1311210.859976, norm of subgrad 35.515114 stepsize= 1.000000
+dualbound = 3803960.692248, lowerbound=1314419.692248, norm of subgrad 1146.991583 dualbound = 3803960.692248, lowerbound=1314419.692248, norm of subgrad 34.450432 stepsize= 1.000000
+dualbound = 3804020.595508, lowerbound=1312363.595508, norm of subgrad 1146.087953 dualbound = 3804020.595508, lowerbound=1312363.595508, norm of subgrad 34.841115 stepsize= 1.000000
+dualbound = 3804093.355527, lowerbound=1311015.355527, norm of subgrad 1145.489134 dualbound = 3804093.355527, lowerbound=1311015.355527, norm of subgrad 34.680831 stepsize= 1.000000
+dualbound = 3804124.327645, lowerbound=1314525.327645, norm of subgrad 1147.026298 dualbound = 3804124.327645, lowerbound=1314525.327645, norm of subgrad 34.277866 stepsize= 1.000000
+dualbound = 3804199.019567, lowerbound=1311423.019567, norm of subgrad 1145.664008 dualbound = 3804199.019567, lowerbound=1311423.019567, norm of subgrad 34.607686 stepsize= 1.000000
+dualbound = 3804252.771894, lowerbound=1310999.771894, norm of subgrad 1145.504593 dualbound = 3804252.771894, lowerbound=1310999.771894, norm of subgrad 35.139043 stepsize= 1.000000
+dualbound = 3804301.270611, lowerbound=1309225.270611, norm of subgrad 1144.705757 dualbound = 3804301.270611, lowerbound=1309225.270611, norm of subgrad 34.270960 stepsize= 1.000000
+dualbound = 3804355.643919, lowerbound=1314739.643919, norm of subgrad 1147.125819 dualbound = 3804355.643919, lowerbound=1314739.643919, norm of subgrad 34.819151 stepsize= 1.000000
+dualbound = 3804422.689051, lowerbound=1311687.689051, norm of subgrad 1145.772529 dualbound = 3804422.689051, lowerbound=1311687.689051, norm of subgrad 34.264342 stepsize= 1.000000
+dualbound = 3804501.521398, lowerbound=1313021.521398, norm of subgrad 1146.382363 dualbound = 3804501.521398, lowerbound=1313021.521398, norm of subgrad 35.352968 stepsize= 1.000000
+dualbound = 3804534.597914, lowerbound=1319863.597914, norm of subgrad 1149.314838 dualbound = 3804534.597914, lowerbound=1319863.597914, norm of subgrad 33.076827 stepsize= 1.000000
+dualbound = 3804597.716073, lowerbound=1311108.716073, norm of subgrad 1145.532067 dualbound = 3804597.716073, lowerbound=1311108.716073, norm of subgrad 34.613843 stepsize= 1.000000
+dualbound = 3804652.945768, lowerbound=1311121.945768, norm of subgrad 1145.554427 dualbound = 3804652.945768, lowerbound=1311121.945768, norm of subgrad 35.046108 stepsize= 1.000000
+dualbound = 3804676.286135, lowerbound=1316140.286135, norm of subgrad 1147.750533 dualbound = 3804676.286135, lowerbound=1316140.286135, norm of subgrad 34.847387 stepsize= 1.000000
+dualbound = 3804766.224311, lowerbound=1307702.224311, norm of subgrad 1144.035937 dualbound = 3804766.224311, lowerbound=1307702.224311, norm of subgrad 34.726621 stepsize= 1.000000
+dualbound = 3804800.979503, lowerbound=1313376.979503, norm of subgrad 1146.519943 dualbound = 3804800.979503, lowerbound=1313376.979503, norm of subgrad 34.143157 stepsize= 1.000000
+dualbound = 3804871.699271, lowerbound=1312174.699271, norm of subgrad 1146.001178 dualbound = 3804871.699271, lowerbound=1312174.699271, norm of subgrad 34.852830 stepsize= 1.000000
+dualbound = 3804937.377264, lowerbound=1315501.377264, norm of subgrad 1147.426415 dualbound = 3804937.377264, lowerbound=1315501.377264, norm of subgrad 33.936382 stepsize= 1.000000
+dualbound = 3804995.853354, lowerbound=1314766.853354, norm of subgrad 1147.113706 dualbound = 3804995.853354, lowerbound=1314766.853354, norm of subgrad 34.080436 stepsize= 1.000000
+dualbound = 3805039.038825, lowerbound=1314158.038825, norm of subgrad 1146.867490 dualbound = 3805039.038825, lowerbound=1314158.038825, norm of subgrad 34.499065 stepsize= 1.000000
+dualbound = 3805078.615044, lowerbound=1312831.615044, norm of subgrad 1146.272923 dualbound = 3805078.615044, lowerbound=1312831.615044, norm of subgrad 33.905401 stepsize= 1.000000
+dualbound = 3805161.139390, lowerbound=1312194.139390, norm of subgrad 1145.982172 dualbound = 3805161.139390, lowerbound=1312194.139390, norm of subgrad 34.110473 stepsize= 1.000000
+dualbound = 3805210.170976, lowerbound=1311890.170976, norm of subgrad 1145.876595 dualbound = 3805210.170976, lowerbound=1311890.170976, norm of subgrad 34.525810 stepsize= 1.000000
+dualbound = 3805250.513619, lowerbound=1310404.513619, norm of subgrad 1145.241247 dualbound = 3805250.513619, lowerbound=1310404.513619, norm of subgrad 34.833068 stepsize= 1.000000
+dualbound = 3805310.453892, lowerbound=1314992.453892, norm of subgrad 1147.220752 dualbound = 3805310.453892, lowerbound=1314992.453892, norm of subgrad 34.393899 stepsize= 1.000000
+dualbound = 3805368.384719, lowerbound=1309367.384719, norm of subgrad 1144.784864 dualbound = 3805368.384719, lowerbound=1309367.384719, norm of subgrad 34.970428 stepsize= 1.000000
+dualbound = 3805410.848257, lowerbound=1317794.848257, norm of subgrad 1148.461514 dualbound = 3805410.848257, lowerbound=1317794.848257, norm of subgrad 34.806085 stepsize= 1.000000
+dualbound = 3805451.610926, lowerbound=1310302.610926, norm of subgrad 1145.191081 dualbound = 3805451.610926, lowerbound=1310302.610926, norm of subgrad 34.652023 stepsize= 1.000000
+dualbound = 3805537.994544, lowerbound=1310012.994544, norm of subgrad 1145.012661 dualbound = 3805537.994544, lowerbound=1310012.994544, norm of subgrad 33.576534 stepsize= 1.000000
+dualbound = 3805596.761304, lowerbound=1313426.761304, norm of subgrad 1146.530750 dualbound = 3805596.761304, lowerbound=1313426.761304, norm of subgrad 34.128679 stepsize= 1.000000
+dualbound = 3805648.706976, lowerbound=1319015.706976, norm of subgrad 1148.974198 dualbound = 3805648.706976, lowerbound=1319015.706976, norm of subgrad 34.321213 stepsize= 1.000000
+dualbound = 3805657.907936, lowerbound=1312602.907936, norm of subgrad 1146.196278 dualbound = 3805657.907936, lowerbound=1312602.907936, norm of subgrad 34.237420 stepsize= 1.000000
+dualbound = 3805752.878431, lowerbound=1311712.878431, norm of subgrad 1145.772176 dualbound = 3805752.878431, lowerbound=1311712.878431, norm of subgrad 34.292426 stepsize= 1.000000
+dualbound = 3805806.890513, lowerbound=1317930.890513, norm of subgrad 1148.488089 dualbound = 3805806.890513, lowerbound=1317930.890513, norm of subgrad 33.882327 stepsize= 1.000000
+dualbound = 3805843.326287, lowerbound=1314729.326287, norm of subgrad 1147.149217 dualbound = 3805843.326287, lowerbound=1314729.326287, norm of subgrad 35.474438 stepsize= 1.000000
+dualbound = 3805909.184448, lowerbound=1311313.184448, norm of subgrad 1145.622619 dualbound = 3805909.184448, lowerbound=1311313.184448, norm of subgrad 34.696659 stepsize= 1.000000
+dualbound = 3805972.105563, lowerbound=1313554.105563, norm of subgrad 1146.614628 dualbound = 3805972.105563, lowerbound=1313554.105563, norm of subgrad 35.127213 stepsize= 1.000000
+dualbound = 3806007.471934, lowerbound=1315009.471934, norm of subgrad 1147.268265 dualbound = 3806007.471934, lowerbound=1315009.471934, norm of subgrad 35.360520 stepsize= 1.000000
+dualbound = 3806063.217690, lowerbound=1311814.217690, norm of subgrad 1145.842580 dualbound = 3806063.217690, lowerbound=1311814.217690, norm of subgrad 34.594013 stepsize= 1.000000
+dualbound = 3806138.862622, lowerbound=1321428.862622, norm of subgrad 1150.057765 dualbound = 3806138.862622, lowerbound=1321428.862622, norm of subgrad 35.772125 stepsize= 1.000000
+dualbound = 3806169.574122, lowerbound=1312075.574122, norm of subgrad 1145.961419 dualbound = 3806169.574122, lowerbound=1312075.574122, norm of subgrad 34.390573 stepsize= 1.000000
+dualbound = 3806263.204128, lowerbound=1312350.204128, norm of subgrad 1146.057679 dualbound = 3806263.204128, lowerbound=1312350.204128, norm of subgrad 34.519994 stepsize= 1.000000
+dualbound = 3806323.855392, lowerbound=1312347.855392, norm of subgrad 1146.030914 dualbound = 3806323.855392, lowerbound=1312347.855392, norm of subgrad 33.160990 stepsize= 1.000000
+dualbound = 3806370.414697, lowerbound=1316367.414697, norm of subgrad 1147.805042 dualbound = 3806370.414697, lowerbound=1316367.414697, norm of subgrad 33.698061 stepsize= 1.000000
+dualbound = 3806419.365138, lowerbound=1313938.365138, norm of subgrad 1146.751658 dualbound = 3806419.365138, lowerbound=1313938.365138, norm of subgrad 33.910919 stepsize= 1.000000
+dualbound = 3806480.074132, lowerbound=1313041.074132, norm of subgrad 1146.368647 dualbound = 3806480.074132, lowerbound=1313041.074132, norm of subgrad 34.361446 stepsize= 1.000000
+dualbound = 3806536.263646, lowerbound=1314233.263646, norm of subgrad 1146.884154 dualbound = 3806536.263646, lowerbound=1314233.263646, norm of subgrad 34.149517 stepsize= 1.000000
+dualbound = 3806589.048387, lowerbound=1314958.048387, norm of subgrad 1147.193553 dualbound = 3806589.048387, lowerbound=1314958.048387, norm of subgrad 33.878972 stepsize= 1.000000
+dualbound = 3806634.438209, lowerbound=1310400.438209, norm of subgrad 1145.251255 dualbound = 3806634.438209, lowerbound=1310400.438209, norm of subgrad 35.290081 stepsize= 1.000000
+dualbound = 3806685.076273, lowerbound=1310790.076273, norm of subgrad 1145.361985 dualbound = 3806685.076273, lowerbound=1310790.076273, norm of subgrad 33.386196 stepsize= 1.000000
+dualbound = 3806762.069928, lowerbound=1314527.069928, norm of subgrad 1147.022262 dualbound = 3806762.069928, lowerbound=1314527.069928, norm of subgrad 34.784963 stepsize= 1.000000
+dualbound = 3806779.237962, lowerbound=1310468.237962, norm of subgrad 1145.243310 dualbound = 3806779.237962, lowerbound=1310468.237962, norm of subgrad 33.632842 stepsize= 1.000000
+dualbound = 3806864.483717, lowerbound=1317301.483717, norm of subgrad 1148.242345 dualbound = 3806864.483717, lowerbound=1317301.483717, norm of subgrad 35.273868 stepsize= 1.000000
+dualbound = 3806890.404211, lowerbound=1314553.404211, norm of subgrad 1147.025895 dualbound = 3806890.404211, lowerbound=1314553.404211, norm of subgrad 33.777515 stepsize= 1.000000
+dualbound = 3806979.232073, lowerbound=1313866.232073, norm of subgrad 1146.716718 dualbound = 3806979.232073, lowerbound=1313866.232073, norm of subgrad 34.377723 stepsize= 1.000000
+dualbound = 3807029.097105, lowerbound=1313169.097105, norm of subgrad 1146.413580 dualbound = 3807029.097105, lowerbound=1313169.097105, norm of subgrad 33.835854 stepsize= 1.000000
+dualbound = 3807072.987651, lowerbound=1313115.987651, norm of subgrad 1146.408299 dualbound = 3807072.987651, lowerbound=1313115.987651, norm of subgrad 34.349535 stepsize= 1.000000
+dualbound = 3807132.253212, lowerbound=1313189.253212, norm of subgrad 1146.438508 dualbound = 3807132.253212, lowerbound=1313189.253212, norm of subgrad 34.514715 stepsize= 1.000000
+dualbound = 3807200.260401, lowerbound=1320177.260401, norm of subgrad 1149.486955 dualbound = 3807200.260401, lowerbound=1320177.260401, norm of subgrad 34.799529 stepsize= 1.000000
+dualbound = 3807238.498720, lowerbound=1311277.498720, norm of subgrad 1145.613154 dualbound = 3807238.498720, lowerbound=1311277.498720, norm of subgrad 34.499831 stepsize= 1.000000
+dualbound = 3807313.945967, lowerbound=1312034.945967, norm of subgrad 1145.931475 dualbound = 3807313.945967, lowerbound=1312034.945967, norm of subgrad 34.633037 stepsize= 1.000000
+dualbound = 3807332.327642, lowerbound=1310090.327642, norm of subgrad 1145.111928 dualbound = 3807332.327642, lowerbound=1310090.327642, norm of subgrad 34.776165 stepsize= 1.000000
+dualbound = 3807399.519859, lowerbound=1311380.519859, norm of subgrad 1145.673391 dualbound = 3807399.519859, lowerbound=1311380.519859, norm of subgrad 35.414576 stepsize= 1.000000
+dualbound = 3807459.695013, lowerbound=1309512.695013, norm of subgrad 1144.821687 dualbound = 3807459.695013, lowerbound=1309512.695013, norm of subgrad 34.120011 stepsize= 1.000000
+dualbound = 3807535.979796, lowerbound=1315613.979796, norm of subgrad 1147.492475 dualbound = 3807535.979796, lowerbound=1315613.979796, norm of subgrad 34.659555 stepsize= 1.000000
+dualbound = 3807580.309381, lowerbound=1309311.309381, norm of subgrad 1144.762993 dualbound = 3807580.309381, lowerbound=1309311.309381, norm of subgrad 34.861578 stepsize= 1.000000
+dualbound = 3807632.873861, lowerbound=1312497.873861, norm of subgrad 1146.142606 dualbound = 3807632.873861, lowerbound=1312497.873861, norm of subgrad 34.605845 stepsize= 1.000000
+dualbound = 3807693.040214, lowerbound=1309379.040214, norm of subgrad 1144.791702 dualbound = 3807693.040214, lowerbound=1309379.040214, norm of subgrad 35.059469 stepsize= 1.000000
+dualbound = 3807723.956626, lowerbound=1312647.956626, norm of subgrad 1146.242102 dualbound = 3807723.956626, lowerbound=1312647.956626, norm of subgrad 35.410682 stepsize= 1.000000
+dualbound = 3807796.171883, lowerbound=1314464.171883, norm of subgrad 1146.998767 dualbound = 3807796.171883, lowerbound=1314464.171883, norm of subgrad 34.845592 stepsize= 1.000000
+dualbound = 3807842.132375, lowerbound=1314095.132375, norm of subgrad 1146.818265 dualbound = 3807842.132375, lowerbound=1314095.132375, norm of subgrad 33.807699 stepsize= 1.000000
+dualbound = 3807929.434502, lowerbound=1314300.434502, norm of subgrad 1146.898616 dualbound = 3807929.434502, lowerbound=1314300.434502, norm of subgrad 34.107215 stepsize= 1.000000
+dualbound = 3807967.544079, lowerbound=1312449.544079, norm of subgrad 1146.118905 dualbound = 3807967.544079, lowerbound=1312449.544079, norm of subgrad 34.309031 stepsize= 1.000000
+dualbound = 3808035.696771, lowerbound=1313319.696771, norm of subgrad 1146.501939 dualbound = 3808035.696771, lowerbound=1313319.696771, norm of subgrad 34.859040 stepsize= 1.000000
+dualbound = 3808056.849768, lowerbound=1313904.849768, norm of subgrad 1146.761026 dualbound = 3808056.849768, lowerbound=1313904.849768, norm of subgrad 34.309663 stepsize= 1.000000
+dualbound = 3808151.221041, lowerbound=1313150.221041, norm of subgrad 1146.395316 dualbound = 3808151.221041, lowerbound=1313150.221041, norm of subgrad 34.152178 stepsize= 1.000000
+dualbound = 3808193.467308, lowerbound=1319290.467308, norm of subgrad 1149.095935 dualbound = 3808193.467308, lowerbound=1319290.467308, norm of subgrad 34.252683 stepsize= 1.000000
+dualbound = 3808243.702870, lowerbound=1308833.702870, norm of subgrad 1144.514178 dualbound = 3808243.702870, lowerbound=1308833.702870, norm of subgrad 33.604100 stepsize= 1.000000
+dualbound = 3808306.115334, lowerbound=1310699.115334, norm of subgrad 1145.314418 dualbound = 3808306.115334, lowerbound=1310699.115334, norm of subgrad 33.292829 stepsize= 1.000000
+dualbound = 3808382.059400, lowerbound=1313794.059400, norm of subgrad 1146.681760 dualbound = 3808382.059400, lowerbound=1313794.059400, norm of subgrad 34.072629 stepsize= 1.000000
+dualbound = 3808411.867281, lowerbound=1318962.867281, norm of subgrad 1148.966870 dualbound = 3808411.867281, lowerbound=1318962.867281, norm of subgrad 34.522571 stepsize= 1.000000
+dualbound = 3808465.086073, lowerbound=1312073.086073, norm of subgrad 1145.955534 dualbound = 3808465.086073, lowerbound=1312073.086073, norm of subgrad 34.557471 stepsize= 1.000000
+dualbound = 3808519.042564, lowerbound=1309052.042564, norm of subgrad 1144.627469 dualbound = 3808519.042564, lowerbound=1309052.042564, norm of subgrad 34.263048 stepsize= 1.000000
+dualbound = 3808579.830928, lowerbound=1312811.830928, norm of subgrad 1146.271709 dualbound = 3808579.830928, lowerbound=1312811.830928, norm of subgrad 34.464306 stepsize= 1.000000
+dualbound = 3808638.478505, lowerbound=1313819.478505, norm of subgrad 1146.730779 dualbound = 3808638.478505, lowerbound=1313819.478505, norm of subgrad 35.080587 stepsize= 1.000000
+dualbound = 3808683.426059, lowerbound=1313339.426059, norm of subgrad 1146.536273 dualbound = 3808683.426059, lowerbound=1313339.426059, norm of subgrad 35.368737 stepsize= 1.000000
+dualbound = 3808726.876585, lowerbound=1312970.876585, norm of subgrad 1146.382081 dualbound = 3808726.876585, lowerbound=1312970.876585, norm of subgrad 35.559113 stepsize= 1.000000
+dualbound = 3808791.611475, lowerbound=1316423.611475, norm of subgrad 1147.860014 dualbound = 3808791.611475, lowerbound=1316423.611475, norm of subgrad 34.981922 stepsize= 1.000000
+dualbound = 3808858.373524, lowerbound=1310717.373524, norm of subgrad 1145.372155 dualbound = 3808858.373524, lowerbound=1310717.373524, norm of subgrad 35.025163 stepsize= 1.000000
+dualbound = 3808920.093666, lowerbound=1322681.093666, norm of subgrad 1150.557297 dualbound = 3808920.093666, lowerbound=1322681.093666, norm of subgrad 34.098682 stepsize= 1.000000
+dualbound = 3808977.788286, lowerbound=1312554.788286, norm of subgrad 1146.144750 dualbound = 3808977.788286, lowerbound=1312554.788286, norm of subgrad 33.921890 stepsize= 1.000000
+dualbound = 3809043.440039, lowerbound=1310761.440039, norm of subgrad 1145.404488 dualbound = 3809043.440039, lowerbound=1310761.440039, norm of subgrad 35.435177 stepsize= 1.000000
+dualbound = 3809042.657301, lowerbound=1321148.657301, norm of subgrad 1149.915500 dualbound = 3809042.657301, lowerbound=1321148.657301, norm of subgrad 34.003195 stepsize= 1.000000
+dualbound = 3809144.909666, lowerbound=1319711.909666, norm of subgrad 1149.258852 dualbound = 3809144.909666, lowerbound=1319711.909666, norm of subgrad 34.442015 stepsize= 1.000000
+dualbound = 3809199.385627, lowerbound=1308723.385627, norm of subgrad 1144.483895 dualbound = 3809199.385627, lowerbound=1308723.385627, norm of subgrad 34.270628 stepsize= 1.000000
+dualbound = 3809248.889376, lowerbound=1309356.889376, norm of subgrad 1144.741407 dualbound = 3809248.889376, lowerbound=1309356.889376, norm of subgrad 33.548528 stepsize= 1.000000
+dualbound = 3809312.345730, lowerbound=1314075.345730, norm of subgrad 1146.829693 dualbound = 3809312.345730, lowerbound=1314075.345730, norm of subgrad 34.734081 stepsize= 1.000000
+dualbound = 3809344.239834, lowerbound=1315694.239834, norm of subgrad 1147.512196 dualbound = 3809344.239834, lowerbound=1315694.239834, norm of subgrad 33.494688 stepsize= 1.000000
+dualbound = 3809407.314300, lowerbound=1307702.314300, norm of subgrad 1144.032480 dualbound = 3809407.314300, lowerbound=1307702.314300, norm of subgrad 34.220965 stepsize= 1.000000
+dualbound = 3809445.034030, lowerbound=1315219.034030, norm of subgrad 1147.318628 dualbound = 3809445.034030, lowerbound=1315219.034030, norm of subgrad 34.039973 stepsize= 1.000000
+dualbound = 3809531.268134, lowerbound=1314635.268134, norm of subgrad 1147.047195 dualbound = 3809531.268134, lowerbound=1314635.268134, norm of subgrad 34.179440 stepsize= 1.000000
+dualbound = 3809582.564823, lowerbound=1311757.564823, norm of subgrad 1145.798222 dualbound = 3809582.564823, lowerbound=1311757.564823, norm of subgrad 33.871768 stepsize= 1.000000
+dualbound = 3809638.521822, lowerbound=1309251.521822, norm of subgrad 1144.694947 dualbound = 3809638.521822, lowerbound=1309251.521822, norm of subgrad 33.629704 stepsize= 1.000000
+dualbound = 3809690.438780, lowerbound=1314484.438780, norm of subgrad 1146.988857 dualbound = 3809690.438780, lowerbound=1314484.438780, norm of subgrad 33.925167 stepsize= 1.000000
+dualbound = 3809733.141756, lowerbound=1312060.141756, norm of subgrad 1145.945523 dualbound = 3809733.141756, lowerbound=1312060.141756, norm of subgrad 34.259349 stepsize= 1.000000
+dualbound = 3809791.237005, lowerbound=1312652.237005, norm of subgrad 1146.189006 dualbound = 3809791.237005, lowerbound=1312652.237005, norm of subgrad 33.986692 stepsize= 1.000000
+dualbound = 3809860.145875, lowerbound=1311333.145875, norm of subgrad 1145.619110 dualbound = 3809860.145875, lowerbound=1311333.145875, norm of subgrad 34.335242 stepsize= 1.000000
+dualbound = 3809907.685358, lowerbound=1313658.685358, norm of subgrad 1146.627527 dualbound = 3809907.685358, lowerbound=1313658.685358, norm of subgrad 33.816261 stepsize= 1.000000
+dualbound = 3809966.326109, lowerbound=1314435.326109, norm of subgrad 1146.990116 dualbound = 3809966.326109, lowerbound=1314435.326109, norm of subgrad 34.779890 stepsize= 1.000000
+dualbound = 3810000.164725, lowerbound=1312827.164725, norm of subgrad 1146.287121 dualbound = 3810000.164725, lowerbound=1312827.164725, norm of subgrad 34.363332 stepsize= 1.000000
+dualbound = 3810068.994448, lowerbound=1317050.994448, norm of subgrad 1148.111926 dualbound = 3810068.994448, lowerbound=1317050.994448, norm of subgrad 34.334090 stepsize= 1.000000
+dualbound = 3810118.729576, lowerbound=1310036.729576, norm of subgrad 1145.069749 dualbound = 3810118.729576, lowerbound=1310036.729576, norm of subgrad 34.608310 stepsize= 1.000000
+dualbound = 3810171.395749, lowerbound=1314942.395749, norm of subgrad 1147.207216 dualbound = 3810171.395749, lowerbound=1314942.395749, norm of subgrad 34.563943 stepsize= 1.000000
+dualbound = 3810234.288902, lowerbound=1317585.288902, norm of subgrad 1148.354601 dualbound = 3810234.288902, lowerbound=1317585.288902, norm of subgrad 34.581688 stepsize= 1.000000
+dualbound = 3810290.037369, lowerbound=1313849.037369, norm of subgrad 1146.756747 dualbound = 3810290.037369, lowerbound=1313849.037369, norm of subgrad 35.464750 stepsize= 1.000000
+dualbound = 3810325.275743, lowerbound=1311828.275743, norm of subgrad 1145.879695 dualbound = 3810325.275743, lowerbound=1311828.275743, norm of subgrad 35.316262 stepsize= 1.000000
+dualbound = 3810383.585544, lowerbound=1315035.585544, norm of subgrad 1147.259162 dualbound = 3810383.585544, lowerbound=1315035.585544, norm of subgrad 35.018706 stepsize= 1.000000
+dualbound = 3810458.899043, lowerbound=1312449.899043, norm of subgrad 1146.116006 dualbound = 3810458.899043, lowerbound=1312449.899043, norm of subgrad 34.746417 stepsize= 1.000000
+dualbound = 3810519.753574, lowerbound=1316311.753574, norm of subgrad 1147.773389 dualbound = 3810519.753574, lowerbound=1316311.753574, norm of subgrad 33.657904 stepsize= 1.000000
+dualbound = 3810584.093572, lowerbound=1313264.093572, norm of subgrad 1146.441055 dualbound = 3810584.093572, lowerbound=1313264.093572, norm of subgrad 33.575884 stepsize= 1.000000
+dualbound = 3810618.277947, lowerbound=1309996.277947, norm of subgrad 1145.042479 dualbound = 3810618.277947, lowerbound=1309996.277947, norm of subgrad 34.061479 stepsize= 1.000000
+dualbound = 3810694.303814, lowerbound=1311317.303814, norm of subgrad 1145.622234 dualbound = 3810694.303814, lowerbound=1311317.303814, norm of subgrad 34.771049 stepsize= 1.000000
+dualbound = 3810712.361777, lowerbound=1312576.361777, norm of subgrad 1146.165940 dualbound = 3810712.361777, lowerbound=1312576.361777, norm of subgrad 33.735115 stepsize= 1.000000
+dualbound = 3810794.623723, lowerbound=1307450.623724, norm of subgrad 1143.920287 dualbound = 3810794.623723, lowerbound=1307450.623724, norm of subgrad 34.427633 stepsize= 1.000000
+dualbound = 3810853.370276, lowerbound=1316660.370276, norm of subgrad 1147.946589 dualbound = 3810853.370276, lowerbound=1316660.370276, norm of subgrad 34.347439 stepsize= 1.000000
+dualbound = 3810890.644718, lowerbound=1310210.644718, norm of subgrad 1145.158786 dualbound = 3810890.644718, lowerbound=1310210.644718, norm of subgrad 34.860787 stepsize= 1.000000
+dualbound = 3810948.113468, lowerbound=1311191.113468, norm of subgrad 1145.585489 dualbound = 3810948.113468, lowerbound=1311191.113468, norm of subgrad 35.106534 stepsize= 1.000000
+dualbound = 3810998.912577, lowerbound=1318595.912577, norm of subgrad 1148.786713 dualbound = 3810998.912577, lowerbound=1318595.912577, norm of subgrad 34.143800 stepsize= 1.000000
+dualbound = 3811060.359575, lowerbound=1312315.359575, norm of subgrad 1146.044222 dualbound = 3811060.359575, lowerbound=1312315.359575, norm of subgrad 34.109339 stepsize= 1.000000
+dualbound = 3811121.452923, lowerbound=1317728.452923, norm of subgrad 1148.405178 dualbound = 3811121.452923, lowerbound=1317728.452923, norm of subgrad 34.162748 stepsize= 1.000000
+dualbound = 3811187.460075, lowerbound=1311349.460075, norm of subgrad 1145.620557 dualbound = 3811187.460075, lowerbound=1311349.460075, norm of subgrad 34.102891 stepsize= 1.000000
+dualbound = 3811215.071223, lowerbound=1318429.071223, norm of subgrad 1148.710177 dualbound = 3811215.071223, lowerbound=1318429.071223, norm of subgrad 33.669142 stepsize= 1.000000
+dualbound = 3811287.107249, lowerbound=1312775.107249, norm of subgrad 1146.239551 dualbound = 3811287.107249, lowerbound=1312775.107249, norm of subgrad 34.088650 stepsize= 1.000000
+dualbound = 3811340.670857, lowerbound=1311146.670857, norm of subgrad 1145.524627 dualbound = 3811340.670857, lowerbound=1311146.670857, norm of subgrad 33.668436 stepsize= 1.000000
+dualbound = 3811390.723922, lowerbound=1315312.723922, norm of subgrad 1147.359021 dualbound = 3811390.723922, lowerbound=1315312.723922, norm of subgrad 34.206038 stepsize= 1.000000
+dualbound = 3811436.628858, lowerbound=1313940.628858, norm of subgrad 1146.763981 dualbound = 3811436.628858, lowerbound=1313940.628858, norm of subgrad 34.247700 stepsize= 1.000000
+dualbound = 3811500.032100, lowerbound=1315070.032100, norm of subgrad 1147.253691 dualbound = 3811500.032100, lowerbound=1315070.032100, norm of subgrad 34.415160 stepsize= 1.000000
+dualbound = 3811559.148112, lowerbound=1308319.148112, norm of subgrad 1144.300288 dualbound = 3811559.148112, lowerbound=1308319.148112, norm of subgrad 34.104487 stepsize= 1.000000
+dualbound = 3811621.635745, lowerbound=1310008.635745, norm of subgrad 1145.041762 dualbound = 3811621.635745, lowerbound=1310008.635745, norm of subgrad 34.270799 stepsize= 1.000000
+dualbound = 3811652.413249, lowerbound=1315633.413249, norm of subgrad 1147.531443 dualbound = 3811652.413249, lowerbound=1315633.413249, norm of subgrad 35.011105 stepsize= 1.000000
+dualbound = 3811729.072326, lowerbound=1307751.072326, norm of subgrad 1144.052478 dualbound = 3811729.072326, lowerbound=1307751.072326, norm of subgrad 34.375268 stepsize= 1.000000
+dualbound = 3811763.966810, lowerbound=1319455.966810, norm of subgrad 1149.194486 dualbound = 3811763.966810, lowerbound=1319455.966810, norm of subgrad 35.027054 stepsize= 1.000000
+dualbound = 3811824.344587, lowerbound=1312799.344587, norm of subgrad 1146.278912 dualbound = 3811824.344587, lowerbound=1312799.344587, norm of subgrad 34.876608 stepsize= 1.000000
+dualbound = 3811870.054558, lowerbound=1310051.054558, norm of subgrad 1145.104823 dualbound = 3811870.054558, lowerbound=1310051.054558, norm of subgrad 35.492393 stepsize= 1.000000
+dualbound = 3811908.147570, lowerbound=1316486.147570, norm of subgrad 1147.862861 dualbound = 3811908.147570, lowerbound=1316486.147570, norm of subgrad 33.780068 stepsize= 1.000000
+dualbound = 3812023.044083, lowerbound=1310260.044083, norm of subgrad 1145.151101 dualbound = 3812023.044083, lowerbound=1310260.044083, norm of subgrad 35.012805 stepsize= 1.000000
+dualbound = 3812057.292374, lowerbound=1313984.292374, norm of subgrad 1146.789559 dualbound = 3812057.292374, lowerbound=1313984.292374, norm of subgrad 34.296476 stepsize= 1.000000
+dualbound = 3812101.276916, lowerbound=1309934.276916, norm of subgrad 1145.032872 dualbound = 3812101.276916, lowerbound=1309934.276916, norm of subgrad 34.784832 stepsize= 1.000000
+dualbound = 3812170.753428, lowerbound=1316082.753428, norm of subgrad 1147.694538 dualbound = 3812170.753428, lowerbound=1316082.753428, norm of subgrad 34.488788 stepsize= 1.000000
+dualbound = 3812230.823441, lowerbound=1313986.823441, norm of subgrad 1146.774966 dualbound = 3812230.823441, lowerbound=1313986.823441, norm of subgrad 34.147767 stepsize= 1.000000
+dualbound = 3812274.220349, lowerbound=1316091.220349, norm of subgrad 1147.710861 dualbound = 3812274.220349, lowerbound=1316091.220349, norm of subgrad 34.531101 stepsize= 1.000000
+dualbound = 3812325.950995, lowerbound=1310677.950995, norm of subgrad 1145.337920 dualbound = 3812325.950995, lowerbound=1310677.950995, norm of subgrad 34.245155 stepsize= 1.000000
+dualbound = 3812405.480479, lowerbound=1309337.480479, norm of subgrad 1144.748654 dualbound = 3812405.480479, lowerbound=1309337.480479, norm of subgrad 34.518538 stepsize= 1.000000
+dualbound = 3812453.389375, lowerbound=1312708.389375, norm of subgrad 1146.230513 dualbound = 3812453.389375, lowerbound=1312708.389375, norm of subgrad 34.407977 stepsize= 1.000000
+dualbound = 3812484.024209, lowerbound=1317761.024209, norm of subgrad 1148.444175 dualbound = 3812484.024209, lowerbound=1317761.024209, norm of subgrad 34.549021 stepsize= 1.000000
+dualbound = 3812565.505467, lowerbound=1313212.505467, norm of subgrad 1146.459552 dualbound = 3812565.505467, lowerbound=1313212.505467, norm of subgrad 35.192062 stepsize= 1.000000
+dualbound = 3812603.199467, lowerbound=1310718.199467, norm of subgrad 1145.359856 dualbound = 3812603.199467, lowerbound=1310718.199467, norm of subgrad 34.186167 stepsize= 1.000000
+dualbound = 3812677.673714, lowerbound=1313299.673714, norm of subgrad 1146.485793 dualbound = 3812677.673714, lowerbound=1313299.673714, norm of subgrad 34.705536 stepsize= 1.000000
+dualbound = 3812722.616060, lowerbound=1315805.616060, norm of subgrad 1147.573360 dualbound = 3812722.616060, lowerbound=1315805.616060, norm of subgrad 34.116599 stepsize= 1.000000
+dualbound = 3812780.991055, lowerbound=1316211.991055, norm of subgrad 1147.759553 dualbound = 3812780.991055, lowerbound=1316211.991055, norm of subgrad 34.617553 stepsize= 1.000000
+dualbound = 3812824.962587, lowerbound=1311706.962587, norm of subgrad 1145.796213 dualbound = 3812824.962587, lowerbound=1311706.962587, norm of subgrad 34.437937 stepsize= 1.000000
+dualbound = 3812893.661286, lowerbound=1315132.661286, norm of subgrad 1147.255709 dualbound = 3812893.661286, lowerbound=1315132.661286, norm of subgrad 33.640730 stepsize= 1.000000
+dualbound = 3812975.134893, lowerbound=1313242.134893, norm of subgrad 1146.447615 dualbound = 3812975.134893, lowerbound=1313242.134893, norm of subgrad 34.372571 stepsize= 1.000000
+dualbound = 3812997.676355, lowerbound=1314565.676355, norm of subgrad 1147.039527 dualbound = 3812997.676355, lowerbound=1314565.676355, norm of subgrad 34.007962 stepsize= 1.000000
+dualbound = 3813047.352397, lowerbound=1312859.352397, norm of subgrad 1146.319481 dualbound = 3813047.352397, lowerbound=1312859.352397, norm of subgrad 35.194830 stepsize= 1.000000
+dualbound = 3813111.247195, lowerbound=1316292.247195, norm of subgrad 1147.793643 dualbound = 3813111.247195, lowerbound=1316292.247195, norm of subgrad 34.668354 stepsize= 1.000000
+dualbound = 3813161.850879, lowerbound=1309606.850879, norm of subgrad 1144.876347 dualbound = 3813161.850879, lowerbound=1309606.850879, norm of subgrad 34.432596 stepsize= 1.000000
+dualbound = 3813228.065635, lowerbound=1311004.065635, norm of subgrad 1145.471984 dualbound = 3813228.065635, lowerbound=1311004.065635, norm of subgrad 34.179157 stepsize= 1.000000
+dualbound = 3813262.272271, lowerbound=1314072.272271, norm of subgrad 1146.831405 dualbound = 3813262.272271, lowerbound=1314072.272271, norm of subgrad 34.412304 stepsize= 1.000000
+dualbound = 3813349.705083, lowerbound=1314393.705083, norm of subgrad 1146.963690 dualbound = 3813349.705083, lowerbound=1314393.705083, norm of subgrad 34.920378 stepsize= 1.000000
+dualbound = 3813385.899234, lowerbound=1311557.899234, norm of subgrad 1145.715453 dualbound = 3813385.899234, lowerbound=1311557.899234, norm of subgrad 33.796363 stepsize= 1.000000
+dualbound = 3813461.496081, lowerbound=1312881.496081, norm of subgrad 1146.292936 dualbound = 3813461.496081, lowerbound=1312881.496081, norm of subgrad 34.374363 stepsize= 1.000000
+dualbound = 3813490.640678, lowerbound=1313029.640678, norm of subgrad 1146.364096 dualbound = 3813490.640678, lowerbound=1313029.640678, norm of subgrad 33.913782 stepsize= 1.000000
+dualbound = 3813562.969085, lowerbound=1311625.969085, norm of subgrad 1145.773524 dualbound = 3813562.969085, lowerbound=1311625.969085, norm of subgrad 35.260862 stepsize= 1.000000
+dualbound = 3813594.761800, lowerbound=1314032.761800, norm of subgrad 1146.802407 dualbound = 3813594.761800, lowerbound=1314032.761800, norm of subgrad 33.982241 stepsize= 1.000000
+dualbound = 3813669.204205, lowerbound=1314975.204205, norm of subgrad 1147.207568 dualbound = 3813669.204205, lowerbound=1314975.204205, norm of subgrad 34.415729 stepsize= 1.000000
+dualbound = 3813727.216039, lowerbound=1304753.216039, norm of subgrad 1142.744598 dualbound = 3813727.216039, lowerbound=1304753.216039, norm of subgrad 34.205436 stepsize= 1.000000
+dualbound = 3813787.278551, lowerbound=1321047.278551, norm of subgrad 1149.846633 dualbound = 3813787.278551, lowerbound=1321047.278551, norm of subgrad 34.059690 stepsize= 1.000000
+dualbound = 3813810.145757, lowerbound=1314973.145757, norm of subgrad 1147.241973 dualbound = 3813810.145757, lowerbound=1314973.145757, norm of subgrad 34.840597 stepsize= 1.000000
+dualbound = 3813859.996850, lowerbound=1316205.996850, norm of subgrad 1147.761733 dualbound = 3813859.996850, lowerbound=1316205.996850, norm of subgrad 34.653298 stepsize= 1.000000
+dualbound = 3813937.670213, lowerbound=1308692.670213, norm of subgrad 1144.489699 dualbound = 3813937.670213, lowerbound=1308692.670213, norm of subgrad 35.237386 stepsize= 1.000000
+dualbound = 3814000.267406, lowerbound=1315538.267406, norm of subgrad 1147.454255 dualbound = 3814000.267406, lowerbound=1315538.267406, norm of subgrad 34.286983 stepsize= 1.000000
+dualbound = 3814050.718546, lowerbound=1314264.718546, norm of subgrad 1146.922281 dualbound = 3814050.718546, lowerbound=1314264.718546, norm of subgrad 34.877660 stepsize= 1.000000
+dualbound = 3814083.726967, lowerbound=1313078.726967, norm of subgrad 1146.418216 dualbound = 3814083.726967, lowerbound=1313078.726967, norm of subgrad 35.057216 stepsize= 1.000000
+dualbound = 3814144.553208, lowerbound=1308207.553208, norm of subgrad 1144.265071 dualbound = 3814144.553208, lowerbound=1308207.553208, norm of subgrad 34.580721 stepsize= 1.000000
+dualbound = 3814234.168801, lowerbound=1312078.168801, norm of subgrad 1145.949025 dualbound = 3814234.168801, lowerbound=1312078.168801, norm of subgrad 34.793902 stepsize= 1.000000
+dualbound = 3814281.265551, lowerbound=1314030.265551, norm of subgrad 1146.780827 dualbound = 3814281.265551, lowerbound=1314030.265551, norm of subgrad 33.512636 stepsize= 1.000000
+dualbound = 3814350.844335, lowerbound=1312143.844335, norm of subgrad 1145.959792 dualbound = 3814350.844335, lowerbound=1312143.844335, norm of subgrad 33.905439 stepsize= 1.000000
+dualbound = 3814398.219960, lowerbound=1309708.219960, norm of subgrad 1144.894851 dualbound = 3814398.219960, lowerbound=1309708.219960, norm of subgrad 33.516796 stepsize= 1.000000
+dualbound = 3814463.915065, lowerbound=1316242.915065, norm of subgrad 1147.765619 dualbound = 3814463.915065, lowerbound=1316242.915065, norm of subgrad 34.477458 stepsize= 1.000000
+dualbound = 3814501.021987, lowerbound=1311976.021987, norm of subgrad 1145.910128 dualbound = 3814501.021987, lowerbound=1311976.021987, norm of subgrad 34.221440 stepsize= 1.000000
+dualbound = 3814532.523083, lowerbound=1314325.523083, norm of subgrad 1146.941377 dualbound = 3814532.523083, lowerbound=1314325.523083, norm of subgrad 34.358421 stepsize= 1.000000
+dualbound = 3814615.889364, lowerbound=1315445.889364, norm of subgrad 1147.408772 dualbound = 3814615.889364, lowerbound=1315445.889364, norm of subgrad 34.414623 stepsize= 1.000000
+dualbound = 3814678.925998, lowerbound=1316597.925998, norm of subgrad 1147.915905 dualbound = 3814678.925998, lowerbound=1316597.925998, norm of subgrad 34.293391 stepsize= 1.000000
+dualbound = 3814714.515109, lowerbound=1315303.515109, norm of subgrad 1147.358059 dualbound = 3814714.515109, lowerbound=1315303.515109, norm of subgrad 34.096761 stepsize= 1.000000
+dualbound = 3814769.744140, lowerbound=1314996.744140, norm of subgrad 1147.226980 dualbound = 3814769.744140, lowerbound=1314996.744140, norm of subgrad 34.470698 stepsize= 1.000000
+dualbound = 3814854.155645, lowerbound=1310817.155645, norm of subgrad 1145.385593 dualbound = 3814854.155645, lowerbound=1310817.155645, norm of subgrad 34.284275 stepsize= 1.000000
+dualbound = 3814884.311323, lowerbound=1317967.311323, norm of subgrad 1148.506122 dualbound = 3814884.311323, lowerbound=1317967.311323, norm of subgrad 33.602912 stepsize= 1.000000
+dualbound = 3814959.563665, lowerbound=1313839.563665, norm of subgrad 1146.692445 dualbound = 3814959.563665, lowerbound=1313839.563665, norm of subgrad 33.752812 stepsize= 1.000000
+dualbound = 3815008.994348, lowerbound=1318026.994348, norm of subgrad 1148.551694 dualbound = 3815008.994348, lowerbound=1318026.994348, norm of subgrad 34.546066 stepsize= 1.000000
+dualbound = 3815048.302914, lowerbound=1309580.302914, norm of subgrad 1144.866500 dualbound = 3815048.302914, lowerbound=1309580.302914, norm of subgrad 34.326499 stepsize= 1.000000
+dualbound = 3815101.870634, lowerbound=1317473.870634, norm of subgrad 1148.326117 dualbound = 3815101.870634, lowerbound=1317473.870634, norm of subgrad 35.107944 stepsize= 1.000000
+dualbound = 3815158.674706, lowerbound=1310103.674706, norm of subgrad 1145.115573 dualbound = 3815158.674706, lowerbound=1310103.674706, norm of subgrad 35.253426 stepsize= 1.000000
+dualbound = 3815204.285049, lowerbound=1319439.285049, norm of subgrad 1149.189839 dualbound = 3815204.285049, lowerbound=1319439.285049, norm of subgrad 35.264860 stepsize= 1.000000
+dualbound = 3815256.088296, lowerbound=1311994.088296, norm of subgrad 1145.945500 dualbound = 3815256.088296, lowerbound=1311994.088296, norm of subgrad 35.338410 stepsize= 1.000000
+dualbound = 3815321.285819, lowerbound=1313829.285819, norm of subgrad 1146.728078 dualbound = 3815321.285819, lowerbound=1313829.285819, norm of subgrad 34.945637 stepsize= 1.000000
+dualbound = 3815392.399673, lowerbound=1317788.399673, norm of subgrad 1148.443904 dualbound = 3815392.399673, lowerbound=1317788.399673, norm of subgrad 34.729150 stepsize= 1.000000
+dualbound = 3815436.474397, lowerbound=1310969.474397, norm of subgrad 1145.434622 dualbound = 3815436.474397, lowerbound=1310969.474397, norm of subgrad 33.091913 stepsize= 1.000000
+dualbound = 3815536.085706, lowerbound=1312414.085706, norm of subgrad 1146.067662 dualbound = 3815536.085706, lowerbound=1312414.085706, norm of subgrad 34.008989 stepsize= 1.000000
+dualbound = 3815555.363604, lowerbound=1314925.363604, norm of subgrad 1147.195870 dualbound = 3815555.363604, lowerbound=1314925.363604, norm of subgrad 33.945219 stepsize= 1.000000
+dualbound = 3815600.863131, lowerbound=1309891.863131, norm of subgrad 1144.976796 dualbound = 3815600.863131, lowerbound=1309891.863131, norm of subgrad 33.548465 stepsize= 1.000000
+dualbound = 3815677.589331, lowerbound=1315398.589331, norm of subgrad 1147.394261 dualbound = 3815677.589331, lowerbound=1315398.589331, norm of subgrad 34.521388 stepsize= 1.000000
+dualbound = 3815721.881753, lowerbound=1312963.881753, norm of subgrad 1146.332361 dualbound = 3815721.881753, lowerbound=1312963.881753, norm of subgrad 34.033695 stepsize= 1.000000
+dualbound = 3815774.457606, lowerbound=1315989.457606, norm of subgrad 1147.629059 dualbound = 3815774.457606, lowerbound=1315989.457606, norm of subgrad 33.400237 stepsize= 1.000000
+dualbound = 3815839.121963, lowerbound=1312712.121963, norm of subgrad 1146.253516 dualbound = 3815839.121963, lowerbound=1312712.121963, norm of subgrad 35.350592 stepsize= 1.000000
+dualbound = 3815852.566812, lowerbound=1319735.566812, norm of subgrad 1149.314825 dualbound = 3815852.566812, lowerbound=1319735.566812, norm of subgrad 34.676287 stepsize= 1.000000
+dualbound = 3815950.027704, lowerbound=1310322.027704, norm of subgrad 1145.202178 dualbound = 3815950.027704, lowerbound=1310322.027704, norm of subgrad 35.545195 stepsize= 1.000000
+dualbound = 3815968.938410, lowerbound=1315176.938410, norm of subgrad 1147.311613 dualbound = 3815968.938410, lowerbound=1315176.938410, norm of subgrad 34.145435 stepsize= 1.000000
+dualbound = 3816070.614469, lowerbound=1314327.614469, norm of subgrad 1146.926595 dualbound = 3816070.614469, lowerbound=1314327.614469, norm of subgrad 34.852203 stepsize= 1.000000
+dualbound = 3816111.402306, lowerbound=1311401.402306, norm of subgrad 1145.662866 dualbound = 3816111.402306, lowerbound=1311401.402306, norm of subgrad 34.391683 stepsize= 1.000000
+dualbound = 3816154.379535, lowerbound=1313296.379535, norm of subgrad 1146.475198 dualbound = 3816154.379535, lowerbound=1313296.379535, norm of subgrad 33.940790 stepsize= 1.000000
+dualbound = 3816214.590765, lowerbound=1310968.590765, norm of subgrad 1145.459554 dualbound = 3816214.590765, lowerbound=1310968.590765, norm of subgrad 34.193731 stepsize= 1.000000
+dualbound = 3816263.051747, lowerbound=1310813.051747, norm of subgrad 1145.408683 dualbound = 3816263.051747, lowerbound=1310813.051747, norm of subgrad 34.589897 stepsize= 1.000000
+dualbound = 3816327.707755, lowerbound=1311002.707755, norm of subgrad 1145.474883 dualbound = 3816327.707755, lowerbound=1311002.707755, norm of subgrad 34.273255 stepsize= 1.000000
+dualbound = 3816395.972303, lowerbound=1318259.972303, norm of subgrad 1148.614371 dualbound = 3816395.972303, lowerbound=1318259.972303, norm of subgrad 33.515139 stepsize= 1.000000
+dualbound = 3816444.071364, lowerbound=1311065.071364, norm of subgrad 1145.516509 dualbound = 3816444.071364, lowerbound=1311065.071364, norm of subgrad 34.512303 stepsize= 1.000000
+dualbound = 3816487.461406, lowerbound=1315152.461406, norm of subgrad 1147.309227 dualbound = 3816487.461406, lowerbound=1315152.461406, norm of subgrad 34.776286 stepsize= 1.000000
+dualbound = 3816529.564552, lowerbound=1314882.564552, norm of subgrad 1147.200316 dualbound = 3816529.564552, lowerbound=1314882.564552, norm of subgrad 35.044303 stepsize= 1.000000
+dualbound = 3816604.067681, lowerbound=1315419.067681, norm of subgrad 1147.428023 dualbound = 3816604.067681, lowerbound=1315419.067681, norm of subgrad 35.305851 stepsize= 1.000000
+dualbound = 3816641.248961, lowerbound=1315809.248961, norm of subgrad 1147.588885 dualbound = 3816641.248961, lowerbound=1315809.248961, norm of subgrad 34.470006 stepsize= 1.000000
+dualbound = 3816719.873821, lowerbound=1310910.873821, norm of subgrad 1145.452694 dualbound = 3816719.873821, lowerbound=1310910.873821, norm of subgrad 35.066007 stepsize= 1.000000
+dualbound = 3816755.441838, lowerbound=1316521.441838, norm of subgrad 1147.942264 dualbound = 3816755.441838, lowerbound=1316521.441838, norm of subgrad 35.854819 stepsize= 1.000000
+dualbound = 3816800.334793, lowerbound=1311619.334793, norm of subgrad 1145.765393 dualbound = 3816800.334793, lowerbound=1311619.334793, norm of subgrad 34.697161 stepsize= 1.000000
+dualbound = 3816866.879506, lowerbound=1317674.879506, norm of subgrad 1148.405364 dualbound = 3816866.879506, lowerbound=1317674.879506, norm of subgrad 35.022060 stepsize= 1.000000
+dualbound = 3816940.455871, lowerbound=1314835.455871, norm of subgrad 1147.154504 dualbound = 3816940.455871, lowerbound=1314835.455871, norm of subgrad 34.663762 stepsize= 1.000000
+dualbound = 3816968.319489, lowerbound=1311684.319489, norm of subgrad 1145.789823 dualbound = 3816968.319489, lowerbound=1311684.319489, norm of subgrad 34.320018 stepsize= 1.000000
+dualbound = 3817070.343533, lowerbound=1311819.343533, norm of subgrad 1145.812089 dualbound = 3817070.343533, lowerbound=1311819.343533, norm of subgrad 34.176367 stepsize= 1.000000
+dualbound = 3817111.014060, lowerbound=1313298.014060, norm of subgrad 1146.468933 dualbound = 3817111.014060, lowerbound=1313298.014060, norm of subgrad 33.670024 stepsize= 1.000000
+dualbound = 3817190.759261, lowerbound=1317599.759261, norm of subgrad 1148.335212 dualbound = 3817190.759261, lowerbound=1317599.759261, norm of subgrad 33.966825 stepsize= 1.000000
+dualbound = 3817194.696707, lowerbound=1317302.696707, norm of subgrad 1148.250276 dualbound = 3817194.696707, lowerbound=1317302.696707, norm of subgrad 34.350218 stepsize= 1.000000
+dualbound = 3817270.760553, lowerbound=1309867.760553, norm of subgrad 1144.964524 dualbound = 3817270.760553, lowerbound=1309867.760553, norm of subgrad 33.942066 stepsize= 1.000000
+dualbound = 3817310.964530, lowerbound=1318153.964530, norm of subgrad 1148.614803 dualbound = 3817310.964530, lowerbound=1318153.964530, norm of subgrad 34.672813 stepsize= 1.000000
+dualbound = 3817379.327457, lowerbound=1308576.327457, norm of subgrad 1144.420957 dualbound = 3817379.327457, lowerbound=1308576.327457, norm of subgrad 34.516126 stepsize= 1.000000
+dualbound = 3817430.245371, lowerbound=1316918.245371, norm of subgrad 1148.054984 dualbound = 3817430.245371, lowerbound=1316918.245371, norm of subgrad 34.101582 stepsize= 1.000000
+dualbound = 3817518.623657, lowerbound=1311577.623657, norm of subgrad 1145.692203 dualbound = 3817518.623657, lowerbound=1311577.623657, norm of subgrad 33.486987 stepsize= 1.000000
+dualbound = 3817567.658468, lowerbound=1313931.658468, norm of subgrad 1146.717776 dualbound = 3817567.658468, lowerbound=1313931.658468, norm of subgrad 32.848665 stepsize= 1.000000
+dualbound = 3817631.283530, lowerbound=1313411.283530, norm of subgrad 1146.526617 dualbound = 3817631.283530, lowerbound=1313411.283530, norm of subgrad 34.287389 stepsize= 1.000000
+dualbound = 3817634.935036, lowerbound=1311379.935036, norm of subgrad 1145.658734 dualbound = 3817634.935036, lowerbound=1311379.935036, norm of subgrad 34.024278 stepsize= 1.000000
+dualbound = 3817725.171582, lowerbound=1310264.171582, norm of subgrad 1145.154213 dualbound = 3817725.171582, lowerbound=1310264.171582, norm of subgrad 34.702112 stepsize= 1.000000
+dualbound = 3817757.851183, lowerbound=1321159.851183, norm of subgrad 1149.927324 dualbound = 3817757.851183, lowerbound=1321159.851183, norm of subgrad 34.722897 stepsize= 1.000000
+dualbound = 3817804.089792, lowerbound=1314115.089792, norm of subgrad 1146.857049 dualbound = 3817804.089792, lowerbound=1314115.089792, norm of subgrad 34.817217 stepsize= 1.000000
+dualbound = 3817874.719913, lowerbound=1309834.719913, norm of subgrad 1144.998568 dualbound = 3817874.719913, lowerbound=1309834.719913, norm of subgrad 35.463081 stepsize= 1.000000
+dualbound = 3817932.634949, lowerbound=1317931.634949, norm of subgrad 1148.516711 dualbound = 3817932.634949, lowerbound=1317931.634949, norm of subgrad 34.884309 stepsize= 1.000000
+dualbound = 3817980.122137, lowerbound=1313734.122137, norm of subgrad 1146.688764 dualbound = 3817980.122137, lowerbound=1313734.122137, norm of subgrad 34.763302 stepsize= 1.000000
+dualbound = 3818030.815790, lowerbound=1312016.815790, norm of subgrad 1145.938400 dualbound = 3818030.815790, lowerbound=1312016.815790, norm of subgrad 34.766272 stepsize= 1.000000
+dualbound = 3818104.246461, lowerbound=1311822.246461, norm of subgrad 1145.840411 dualbound = 3818104.246461, lowerbound=1311822.246461, norm of subgrad 34.661660 stepsize= 1.000000
+dualbound = 3818168.658335, lowerbound=1321160.658335, norm of subgrad 1149.907674 dualbound = 3818168.658335, lowerbound=1321160.658335, norm of subgrad 34.516835 stepsize= 1.000000
+dualbound = 3818207.000511, lowerbound=1314250.000511, norm of subgrad 1146.902786 dualbound = 3818207.000511, lowerbound=1314250.000511, norm of subgrad 34.268676 stepsize= 1.000000
+dualbound = 3818281.676172, lowerbound=1307729.676172, norm of subgrad 1144.053616 dualbound = 3818281.676172, lowerbound=1307729.676172, norm of subgrad 34.694029 stepsize= 1.000000
+dualbound = 3818303.020830, lowerbound=1317080.020830, norm of subgrad 1148.168551 dualbound = 3818303.020830, lowerbound=1317080.020830, norm of subgrad 35.104767 stepsize= 1.000000
+dualbound = 3818346.392291, lowerbound=1314769.392291, norm of subgrad 1147.142272 dualbound = 3818346.392291, lowerbound=1314769.392291, norm of subgrad 34.776018 stepsize= 1.000000
+dualbound = 3818424.079000, lowerbound=1312858.079000, norm of subgrad 1146.283158 dualbound = 3818424.079000, lowerbound=1312858.079000, norm of subgrad 34.419278 stepsize= 1.000000
+dualbound = 3818502.517329, lowerbound=1313486.517329, norm of subgrad 1146.545035 dualbound = 3818502.517329, lowerbound=1313486.517329, norm of subgrad 34.021145 stepsize= 1.000000
+dualbound = 3818526.468020, lowerbound=1313656.468020, norm of subgrad 1146.654032 dualbound = 3818526.468020, lowerbound=1313656.468020, norm of subgrad 34.394050 stepsize= 1.000000
+dualbound = 3818604.743157, lowerbound=1310357.743157, norm of subgrad 1145.191138 dualbound = 3818604.743157, lowerbound=1310357.743157, norm of subgrad 34.398766 stepsize= 1.000000
+dualbound = 3818651.682889, lowerbound=1311771.682889, norm of subgrad 1145.836674 dualbound = 3818651.682889, lowerbound=1311771.682889, norm of subgrad 34.884663 stepsize= 1.000000
+dualbound = 3818699.081068, lowerbound=1312314.081068, norm of subgrad 1146.081184 dualbound = 3818699.081068, lowerbound=1312314.081068, norm of subgrad 35.148232 stepsize= 1.000000
+dualbound = 3818757.027074, lowerbound=1315109.027074, norm of subgrad 1147.285940 dualbound = 3818757.027074, lowerbound=1315109.027074, norm of subgrad 34.841728 stepsize= 1.000000
+dualbound = 3818840.908263, lowerbound=1314216.908263, norm of subgrad 1146.864817 dualbound = 3818840.908263, lowerbound=1314216.908263, norm of subgrad 34.145002 stepsize= 1.000000
+dualbound = 3818900.324368, lowerbound=1313371.324368, norm of subgrad 1146.513552 dualbound = 3818900.324368, lowerbound=1313371.324368, norm of subgrad 34.371734 stepsize= 1.000000
+dualbound = 3818918.555838, lowerbound=1318190.555838, norm of subgrad 1148.623766 dualbound = 3818918.555838, lowerbound=1318190.555838, norm of subgrad 34.120836 stepsize= 1.000000
+dualbound = 3818997.031978, lowerbound=1312592.031978, norm of subgrad 1146.174521 dualbound = 3818997.031978, lowerbound=1312592.031978, norm of subgrad 34.676738 stepsize= 1.000000
+dualbound = 3819026.699662, lowerbound=1318334.699662, norm of subgrad 1148.671711 dualbound = 3819026.699662, lowerbound=1318334.699662, norm of subgrad 33.788573 stepsize= 1.000000
+dualbound = 3819109.025395, lowerbound=1309271.025395, norm of subgrad 1144.744087 dualbound = 3819109.025395, lowerbound=1309271.025395, norm of subgrad 35.359945 stepsize= 1.000000
+dualbound = 3819134.467421, lowerbound=1324216.467421, norm of subgrad 1151.251696 dualbound = 3819134.467421, lowerbound=1324216.467421, norm of subgrad 34.488288 stepsize= 1.000000
+dualbound = 3819202.545769, lowerbound=1314038.545769, norm of subgrad 1146.821061 dualbound = 3819202.545769, lowerbound=1314038.545769, norm of subgrad 35.043949 stepsize= 1.000000
+dualbound = 3819249.917509, lowerbound=1309129.917509, norm of subgrad 1144.699488 dualbound = 3819249.917509, lowerbound=1309129.917509, norm of subgrad 35.417111 stepsize= 1.000000
+dualbound = 3819302.774095, lowerbound=1317106.774095, norm of subgrad 1148.147540 dualbound = 3819302.774095, lowerbound=1317106.774095, norm of subgrad 34.479800 stepsize= 1.000000
+dualbound = 3819362.495385, lowerbound=1316865.495385, norm of subgrad 1148.026348 dualbound = 3819362.495385, lowerbound=1316865.495385, norm of subgrad 34.039995 stepsize= 1.000000
+dualbound = 3819453.517002, lowerbound=1319532.517002, norm of subgrad 1149.183413 dualbound = 3819453.517002, lowerbound=1319532.517002, norm of subgrad 34.365995 stepsize= 1.000000
+dualbound = 3819466.917362, lowerbound=1307502.917362, norm of subgrad 1143.949263 dualbound = 3819466.917362, lowerbound=1307502.917362, norm of subgrad 33.621427 stepsize= 1.000000
+dualbound = 3819567.942517, lowerbound=1310831.942517, norm of subgrad 1145.396849 dualbound = 3819567.942517, lowerbound=1310831.942517, norm of subgrad 34.684653 stepsize= 1.000000
+dualbound = 3819600.151689, lowerbound=1317255.151689, norm of subgrad 1148.220428 dualbound = 3819600.151689, lowerbound=1317255.151689, norm of subgrad 34.455902 stepsize= 1.000000
+dualbound = 3819641.568337, lowerbound=1306620.568337, norm of subgrad 1143.568349 dualbound = 3819641.568337, lowerbound=1306620.568337, norm of subgrad 34.196734 stepsize= 1.000000
+dualbound = 3819687.030989, lowerbound=1317057.030989, norm of subgrad 1148.117603 dualbound = 3819687.030989, lowerbound=1317057.030989, norm of subgrad 34.094907 stepsize= 1.000000
+dualbound = 3819771.493133, lowerbound=1319369.493133, norm of subgrad 1149.128580 dualbound = 3819771.493133, lowerbound=1319369.493133, norm of subgrad 34.806065 stepsize= 1.000000
+dualbound = 3819779.313111, lowerbound=1312137.313111, norm of subgrad 1145.982684 dualbound = 3819779.313111, lowerbound=1312137.313111, norm of subgrad 33.864731 stepsize= 1.000000
+dualbound = 3819854.400832, lowerbound=1316735.400832, norm of subgrad 1147.964460 dualbound = 3819854.400832, lowerbound=1316735.400832, norm of subgrad 34.089408 stepsize= 1.000000
+dualbound = 3819917.369475, lowerbound=1310033.369475, norm of subgrad 1145.066535 dualbound = 3819917.369475, lowerbound=1310033.369475, norm of subgrad 34.741454 stepsize= 1.000000
+dualbound = 3819970.653852, lowerbound=1317882.653852, norm of subgrad 1148.477973 dualbound = 3819970.653852, lowerbound=1317882.653852, norm of subgrad 34.238639 stepsize= 1.000000
+dualbound = 3820028.588003, lowerbound=1312687.588003, norm of subgrad 1146.224057 dualbound = 3820028.588003, lowerbound=1312687.588003, norm of subgrad 34.640066 stepsize= 1.000000
+dualbound = 3820069.916463, lowerbound=1317247.916463, norm of subgrad 1148.236002 dualbound = 3820069.916463, lowerbound=1317247.916463, norm of subgrad 35.204097 stepsize= 1.000000
+dualbound = 3820128.275893, lowerbound=1313070.275893, norm of subgrad 1146.393159 dualbound = 3820128.275893, lowerbound=1313070.275893, norm of subgrad 34.718287 stepsize= 1.000000
+dualbound = 3820197.248316, lowerbound=1312011.248316, norm of subgrad 1145.917645 dualbound = 3820197.248316, lowerbound=1312011.248316, norm of subgrad 34.423428 stepsize= 1.000000
+dualbound = 3820251.502393, lowerbound=1319185.502393, norm of subgrad 1149.061140 dualbound = 3820251.502393, lowerbound=1319185.502393, norm of subgrad 34.788706 stepsize= 1.000000
+dualbound = 3820284.207185, lowerbound=1311832.207185, norm of subgrad 1145.867884 dualbound = 3820284.207185, lowerbound=1311832.207185, norm of subgrad 34.838266 stepsize= 1.000000
+dualbound = 3820343.211826, lowerbound=1312058.211826, norm of subgrad 1145.959952 dualbound = 3820343.211826, lowerbound=1312058.211826, norm of subgrad 35.000066 stepsize= 1.000000
+dualbound = 3820419.266747, lowerbound=1315844.266747, norm of subgrad 1147.595864 dualbound = 3820419.266747, lowerbound=1315844.266747, norm of subgrad 34.757084 stepsize= 1.000000
+dualbound = 3820465.681349, lowerbound=1315756.681349, norm of subgrad 1147.562496 dualbound = 3820465.681349, lowerbound=1315756.681349, norm of subgrad 34.487891 stepsize= 1.000000
+dualbound = 3820505.999592, lowerbound=1314233.999592, norm of subgrad 1146.926327 dualbound = 3820505.999592, lowerbound=1314233.999592, norm of subgrad 35.303233 stepsize= 1.000000
+dualbound = 3820562.353673, lowerbound=1307550.353673, norm of subgrad 1143.984420 dualbound = 3820562.353673, lowerbound=1307550.353673, norm of subgrad 34.732608 stepsize= 1.000000
+dualbound = 3820615.917626, lowerbound=1316089.917626, norm of subgrad 1147.705501 dualbound = 3820615.917626, lowerbound=1316089.917626, norm of subgrad 34.519038 stepsize= 1.000000
+dualbound = 3820675.876818, lowerbound=1310423.876818, norm of subgrad 1145.234857 dualbound = 3820675.876818, lowerbound=1310423.876818, norm of subgrad 34.625990 stepsize= 1.000000
+dualbound = 3820765.029646, lowerbound=1314959.029646, norm of subgrad 1147.204005 dualbound = 3820765.029646, lowerbound=1314959.029646, norm of subgrad 34.744105 stepsize= 1.000000
+dualbound = 3820771.178568, lowerbound=1311232.178568, norm of subgrad 1145.591192 dualbound = 3820771.178568, lowerbound=1311232.178568, norm of subgrad 33.958046 stepsize= 1.000000
+dualbound = 3820843.403808, lowerbound=1310518.403808, norm of subgrad 1145.285730 dualbound = 3820843.403808, lowerbound=1310518.403808, norm of subgrad 35.117307 stepsize= 1.000000
+dualbound = 3820891.092620, lowerbound=1314611.092620, norm of subgrad 1147.064119 dualbound = 3820891.092620, lowerbound=1314611.092620, norm of subgrad 34.535327 stepsize= 1.000000
+dualbound = 3820965.827121, lowerbound=1315079.827121, norm of subgrad 1147.274957 dualbound = 3820965.827121, lowerbound=1315079.827121, norm of subgrad 35.138789 stepsize= 1.000000
+dualbound = 3820987.521927, lowerbound=1311656.521927, norm of subgrad 1145.787293 dualbound = 3820987.521927, lowerbound=1311656.521927, norm of subgrad 34.549889 stepsize= 1.000000
+dualbound = 3821073.944594, lowerbound=1317391.944594, norm of subgrad 1148.274333 dualbound = 3821073.944594, lowerbound=1317391.944594, norm of subgrad 35.048861 stepsize= 1.000000
+dualbound = 3821112.725110, lowerbound=1309517.725110, norm of subgrad 1144.839607 dualbound = 3821112.725110, lowerbound=1309517.725110, norm of subgrad 34.333373 stepsize= 1.000000
+dualbound = 3821172.857606, lowerbound=1318331.857606, norm of subgrad 1148.667862 dualbound = 3821172.857606, lowerbound=1318331.857606, norm of subgrad 34.148682 stepsize= 1.000000
+dualbound = 3821226.473042, lowerbound=1311670.473042, norm of subgrad 1145.763707 dualbound = 3821226.473042, lowerbound=1311670.473042, norm of subgrad 34.023748 stepsize= 1.000000
+dualbound = 3821309.291300, lowerbound=1316224.291300, norm of subgrad 1147.731367 dualbound = 3821309.291300, lowerbound=1316224.291300, norm of subgrad 33.849937 stepsize= 1.000000
+dualbound = 3821351.814285, lowerbound=1312518.814285, norm of subgrad 1146.159157 dualbound = 3821351.814285, lowerbound=1312518.814285, norm of subgrad 34.706238 stepsize= 1.000000
+dualbound = 3821402.346717, lowerbound=1314130.346717, norm of subgrad 1146.862392 dualbound = 3821402.346717, lowerbound=1314130.346717, norm of subgrad 34.835792 stepsize= 1.000000
+dualbound = 3821445.018976, lowerbound=1313412.018976, norm of subgrad 1146.522577 dualbound = 3821445.018976, lowerbound=1313412.018976, norm of subgrad 33.833005 stepsize= 1.000000
+dualbound = 3821497.688879, lowerbound=1315736.688879, norm of subgrad 1147.548556 dualbound = 3821497.688879, lowerbound=1315736.688879, norm of subgrad 34.404504 stepsize= 1.000000
+dualbound = 3821596.545443, lowerbound=1317513.545443, norm of subgrad 1148.300721 dualbound = 3821596.545443, lowerbound=1317513.545443, norm of subgrad 34.349040 stepsize= 1.000000
+dualbound = 3821639.521552, lowerbound=1316176.521552, norm of subgrad 1147.733210 dualbound = 3821639.521552, lowerbound=1316176.521552, norm of subgrad 34.029048 stepsize= 1.000000
+dualbound = 3821674.906454, lowerbound=1314839.906454, norm of subgrad 1147.149034 dualbound = 3821674.906454, lowerbound=1314839.906454, norm of subgrad 33.858306 stepsize= 1.000000
+dualbound = 3821747.741679, lowerbound=1310157.741679, norm of subgrad 1145.110799 dualbound = 3821747.741679, lowerbound=1310157.741679, norm of subgrad 34.551921 stepsize= 1.000000
+dualbound = 3821790.703702, lowerbound=1311511.703702, norm of subgrad 1145.695729 dualbound = 3821790.703702, lowerbound=1311511.703702, norm of subgrad 33.911090 stepsize= 1.000000
+dualbound = 3821844.231105, lowerbound=1310847.231105, norm of subgrad 1145.451104 dualbound = 3821844.231105, lowerbound=1310847.231105, norm of subgrad 35.560194 stepsize= 1.000000
+dualbound = 3821896.041504, lowerbound=1308052.041504, norm of subgrad 1144.191436 dualbound = 3821896.041504, lowerbound=1308052.041504, norm of subgrad 34.260916 stepsize= 1.000000
+dualbound = 3821958.420627, lowerbound=1322062.420627, norm of subgrad 1150.306229 dualbound = 3821958.420627, lowerbound=1322062.420627, norm of subgrad 34.704166 stepsize= 1.000000
+dualbound = 3822000.978964, lowerbound=1309630.978964, norm of subgrad 1144.877714 dualbound = 3822000.978964, lowerbound=1309630.978964, norm of subgrad 34.008210 stepsize= 1.000000
+dualbound = 3822064.095200, lowerbound=1311722.095200, norm of subgrad 1145.781871 dualbound = 3822064.095200, lowerbound=1311722.095200, norm of subgrad 34.016411 stepsize= 1.000000
+dualbound = 3822134.654081, lowerbound=1318843.654081, norm of subgrad 1148.874951 dualbound = 3822134.654081, lowerbound=1318843.654081, norm of subgrad 33.772161 stepsize= 1.000000
+dualbound = 3822173.493516, lowerbound=1309400.493516, norm of subgrad 1144.771372 dualbound = 3822173.493516, lowerbound=1309400.493516, norm of subgrad 33.761508 stepsize= 1.000000
+dualbound = 3822232.793169, lowerbound=1319368.793169, norm of subgrad 1149.113917 dualbound = 3822232.793169, lowerbound=1319368.793169, norm of subgrad 33.960266 stepsize= 1.000000
+dualbound = 3822287.886825, lowerbound=1309021.886825, norm of subgrad 1144.595075 dualbound = 3822287.886825, lowerbound=1309021.886825, norm of subgrad 33.631736 stepsize= 1.000000
+dualbound = 3822348.891151, lowerbound=1318560.891151, norm of subgrad 1148.765377 dualbound = 3822348.891151, lowerbound=1318560.891151, norm of subgrad 34.088185 stepsize= 1.000000
+dualbound = 3822398.891784, lowerbound=1313983.891784, norm of subgrad 1146.789820 dualbound = 3822398.891784, lowerbound=1313983.891784, norm of subgrad 34.539841 stepsize= 1.000000
+dualbound = 3822438.360927, lowerbound=1319986.360927, norm of subgrad 1149.412616 dualbound = 3822438.360927, lowerbound=1319986.360927, norm of subgrad 34.676637 stepsize= 1.000000
+dualbound = 3822484.414765, lowerbound=1313675.414766, norm of subgrad 1146.683223 dualbound = 3822484.414765, lowerbound=1313675.414766, norm of subgrad 35.398501 stepsize= 1.000000
+dualbound = 3822521.097107, lowerbound=1317935.097107, norm of subgrad 1148.526054 dualbound = 3822521.097107, lowerbound=1317935.097107, norm of subgrad 34.837944 stepsize= 1.000000
+dualbound = 3822618.997033, lowerbound=1312653.997033, norm of subgrad 1146.222490 dualbound = 3822618.997033, lowerbound=1312653.997033, norm of subgrad 35.635655 stepsize= 1.000000
+dualbound = 3822664.234344, lowerbound=1320065.234344, norm of subgrad 1149.449100 dualbound = 3822664.234344, lowerbound=1320065.234344, norm of subgrad 34.831556 stepsize= 1.000000
+dualbound = 3822696.876548, lowerbound=1313587.876548, norm of subgrad 1146.631099 dualbound = 3822696.876548, lowerbound=1313587.876548, norm of subgrad 34.751147 stepsize= 1.000000
+dualbound = 3822769.495333, lowerbound=1310640.495333, norm of subgrad 1145.320695 dualbound = 3822769.495333, lowerbound=1310640.495333, norm of subgrad 34.519832 stepsize= 1.000000
+dualbound = 3822822.554546, lowerbound=1313281.554546, norm of subgrad 1146.488794 dualbound = 3822822.554546, lowerbound=1313281.554546, norm of subgrad 34.757146 stepsize= 1.000000
+dualbound = 3822861.766982, lowerbound=1314951.766982, norm of subgrad 1147.212172 dualbound = 3822861.766982, lowerbound=1314951.766982, norm of subgrad 34.397855 stepsize= 1.000000
+dualbound = 3822941.692681, lowerbound=1311697.692681, norm of subgrad 1145.806569 dualbound = 3822941.692681, lowerbound=1311697.692681, norm of subgrad 35.424930 stepsize= 1.000000
+dualbound = 3822988.453647, lowerbound=1316485.453647, norm of subgrad 1147.856896 dualbound = 3822988.453647, lowerbound=1316485.453647, norm of subgrad 33.715886 stepsize= 1.000000
+dualbound = 3823061.353855, lowerbound=1311918.353855, norm of subgrad 1145.859657 dualbound = 3823061.353855, lowerbound=1311918.353855, norm of subgrad 33.895430 stepsize= 1.000000
+dualbound = 3823128.545946, lowerbound=1319334.545946, norm of subgrad 1149.075953 dualbound = 3823128.545946, lowerbound=1319334.545946, norm of subgrad 33.289519 stepsize= 1.000000
+dualbound = 3823185.279551, lowerbound=1312994.279551, norm of subgrad 1146.345183 dualbound = 3823185.279551, lowerbound=1312994.279551, norm of subgrad 34.201368 stepsize= 1.000000
+dualbound = 3823211.382088, lowerbound=1315379.382088, norm of subgrad 1147.381969 dualbound = 3823211.382088, lowerbound=1315379.382088, norm of subgrad 33.646731 stepsize= 1.000000
+dualbound = 3823293.669094, lowerbound=1315893.669094, norm of subgrad 1147.597346 dualbound = 3823293.669094, lowerbound=1315893.669094, norm of subgrad 34.180214 stepsize= 1.000000
+dualbound = 3823331.588625, lowerbound=1313589.588625, norm of subgrad 1146.613095 dualbound = 3823331.588625, lowerbound=1313589.588625, norm of subgrad 34.204086 stepsize= 1.000000
+dualbound = 3823372.414541, lowerbound=1318959.414541, norm of subgrad 1148.959710 dualbound = 3823372.414541, lowerbound=1318959.414541, norm of subgrad 34.493853 stepsize= 1.000000
+dualbound = 3823421.217200, lowerbound=1313193.217200, norm of subgrad 1146.461607 dualbound = 3823421.217200, lowerbound=1313193.217200, norm of subgrad 35.068542 stepsize= 1.000000
+dualbound = 3823461.483121, lowerbound=1315338.483121, norm of subgrad 1147.389421 dualbound = 3823461.483121, lowerbound=1315338.483121, norm of subgrad 34.702535 stepsize= 1.000000
+dualbound = 3823536.356302, lowerbound=1315695.356302, norm of subgrad 1147.512247 dualbound = 3823536.356302, lowerbound=1315695.356302, norm of subgrad 34.115586 stepsize= 1.000000
+dualbound = 3823608.480247, lowerbound=1310040.480247, norm of subgrad 1145.038200 dualbound = 3823608.480247, lowerbound=1310040.480247, norm of subgrad 33.824901 stepsize= 1.000000
+dualbound = 3823668.721794, lowerbound=1312574.721794, norm of subgrad 1146.153010 dualbound = 3823668.721794, lowerbound=1312574.721794, norm of subgrad 33.944684 stepsize= 1.000000
+dualbound = 3823718.128242, lowerbound=1314992.128242, norm of subgrad 1147.213637 dualbound = 3823718.128242, lowerbound=1314992.128242, norm of subgrad 34.005977 stepsize= 1.000000
+dualbound = 3823764.584133, lowerbound=1316199.584133, norm of subgrad 1147.751534 dualbound = 3823764.584133, lowerbound=1316199.584133, norm of subgrad 34.357763 stepsize= 1.000000
+dualbound = 3823821.010963, lowerbound=1321612.010963, norm of subgrad 1150.103913 dualbound = 3823821.010963, lowerbound=1321612.010963, norm of subgrad 34.400971 stepsize= 1.000000
+dualbound = 3823866.026953, lowerbound=1313364.026953, norm of subgrad 1146.511678 dualbound = 3823866.026953, lowerbound=1313364.026953, norm of subgrad 34.205496 stepsize= 1.000000
+dualbound = 3823939.617977, lowerbound=1316674.617977, norm of subgrad 1147.934501 dualbound = 3823939.617977, lowerbound=1316674.617977, norm of subgrad 33.949831 stepsize= 1.000000
+dualbound = 3823976.843336, lowerbound=1316391.843336, norm of subgrad 1147.848354 dualbound = 3823976.843336, lowerbound=1316391.843336, norm of subgrad 34.658698 stepsize= 1.000000
+dualbound = 3824037.859653, lowerbound=1312506.859653, norm of subgrad 1146.153942 dualbound = 3824037.859653, lowerbound=1312506.859653, norm of subgrad 34.971650 stepsize= 1.000000
+dualbound = 3824090.569121, lowerbound=1311023.569121, norm of subgrad 1145.498393 dualbound = 3824090.569121, lowerbound=1311023.569121, norm of subgrad 34.579032 stepsize= 1.000000
+dualbound = 3824151.788836, lowerbound=1317882.788836, norm of subgrad 1148.480644 dualbound = 3824151.788836, lowerbound=1317882.788836, norm of subgrad 34.441541 stepsize= 1.000000
+dualbound = 3824211.641483, lowerbound=1313002.641483, norm of subgrad 1146.337490 dualbound = 3824211.641483, lowerbound=1313002.641483, norm of subgrad 33.865213 stepsize= 1.000000
+dualbound = 3824276.587165, lowerbound=1315513.587165, norm of subgrad 1147.438707 dualbound = 3824276.587165, lowerbound=1315513.587165, norm of subgrad 34.160587 stepsize= 1.000000
+dualbound = 3824341.242964, lowerbound=1308429.242964, norm of subgrad 1144.340964 dualbound = 3824341.242964, lowerbound=1308429.242964, norm of subgrad 33.936055 stepsize= 1.000000
+dualbound = 3824354.416553, lowerbound=1314259.416553, norm of subgrad 1146.916046 dualbound = 3824354.416553, lowerbound=1314259.416553, norm of subgrad 34.207800 stepsize= 1.000000
+dualbound = 3824401.745383, lowerbound=1313103.745383, norm of subgrad 1146.386386 dualbound = 3824401.745383, lowerbound=1313103.745383, norm of subgrad 33.842707 stepsize= 1.000000
+dualbound = 3824497.691566, lowerbound=1312609.691566, norm of subgrad 1146.186587 dualbound = 3824497.691566, lowerbound=1312609.691566, norm of subgrad 35.070589 stepsize= 1.000000
+dualbound = 3824525.619530, lowerbound=1319122.619530, norm of subgrad 1149.032036 dualbound = 3824525.619530, lowerbound=1319122.619530, norm of subgrad 34.350080 stepsize= 1.000000
+dualbound = 3824603.102135, lowerbound=1316921.102135, norm of subgrad 1148.065809 dualbound = 3824603.102135, lowerbound=1316921.102135, norm of subgrad 34.806359 stepsize= 1.000000
+dualbound = 3824633.179027, lowerbound=1320498.179027, norm of subgrad 1149.616101 dualbound = 3824633.179027, lowerbound=1320498.179027, norm of subgrad 33.898037 stepsize= 1.000000
+dualbound = 3824707.096052, lowerbound=1309605.096052, norm of subgrad 1144.851124 dualbound = 3824707.096052, lowerbound=1309605.096052, norm of subgrad 33.954632 stepsize= 1.000000
+dualbound = 3824755.022947, lowerbound=1307656.022947, norm of subgrad 1143.983402 dualbound = 3824755.022947, lowerbound=1307656.022947, norm of subgrad 33.014041 stepsize= 1.000000
+dualbound = 3824818.177971, lowerbound=1310643.177971, norm of subgrad 1145.322740 dualbound = 3824818.177971, lowerbound=1310643.177971, norm of subgrad 34.411554 stepsize= 1.000000
+dualbound = 3824876.059066, lowerbound=1314302.059066, norm of subgrad 1146.902376 dualbound = 3824876.059066, lowerbound=1314302.059066, norm of subgrad 33.776931 stepsize= 1.000000
+dualbound = 3824924.658500, lowerbound=1310427.658500, norm of subgrad 1145.226029 dualbound = 3824924.658500, lowerbound=1310427.658500, norm of subgrad 34.111573 stepsize= 1.000000
+dualbound = 3824993.579520, lowerbound=1315756.579520, norm of subgrad 1147.524108 dualbound = 3824993.579520, lowerbound=1315756.579520, norm of subgrad 33.524931 stepsize= 1.000000
+dualbound = 3825039.160645, lowerbound=1314978.160645, norm of subgrad 1147.207549 dualbound = 3825039.160645, lowerbound=1314978.160645, norm of subgrad 33.949685 stepsize= 1.000000
+dualbound = 3825085.044518, lowerbound=1316981.044518, norm of subgrad 1148.071446 dualbound = 3825085.044518, lowerbound=1316981.044518, norm of subgrad 33.658340 stepsize= 1.000000
+dualbound = 3825132.646274, lowerbound=1309596.646274, norm of subgrad 1144.892854 dualbound = 3825132.646274, lowerbound=1309596.646274, norm of subgrad 35.079934 stepsize= 1.000000
+dualbound = 3825189.900889, lowerbound=1314687.900889, norm of subgrad 1147.102829 dualbound = 3825189.900889, lowerbound=1314687.900889, norm of subgrad 34.846156 stepsize= 1.000000
+dualbound = 3825241.603260, lowerbound=1319073.603260, norm of subgrad 1149.004179 dualbound = 3825241.603260, lowerbound=1319073.603260, norm of subgrad 34.477563 stepsize= 1.000000
+dualbound = 3825322.886237, lowerbound=1316212.886237, norm of subgrad 1147.758200 dualbound = 3825322.886237, lowerbound=1316212.886237, norm of subgrad 34.889583 stepsize= 1.000000
+dualbound = 3825346.062053, lowerbound=1318063.062053, norm of subgrad 1148.554771 dualbound = 3825346.062053, lowerbound=1318063.062053, norm of subgrad 33.736861 stepsize= 1.000000
+dualbound = 3825427.912999, lowerbound=1316341.912999, norm of subgrad 1147.824862 dualbound = 3825427.912999, lowerbound=1316341.912999, norm of subgrad 35.239906 stepsize= 1.000000
+dualbound = 3825441.840233, lowerbound=1316279.840233, norm of subgrad 1147.793466 dualbound = 3825441.840233, lowerbound=1316279.840233, norm of subgrad 34.116378 stepsize= 1.000000
+dualbound = 3825524.066819, lowerbound=1316065.066819, norm of subgrad 1147.694239 dualbound = 3825524.066819, lowerbound=1316065.066819, norm of subgrad 34.917425 stepsize= 1.000000
+dualbound = 3825567.594584, lowerbound=1318410.594584, norm of subgrad 1148.714322 dualbound = 3825567.594584, lowerbound=1318410.594584, norm of subgrad 34.315124 stepsize= 1.000000
+dualbound = 3825626.953239, lowerbound=1315273.953239, norm of subgrad 1147.366094 dualbound = 3825626.953239, lowerbound=1315273.953239, norm of subgrad 35.133441 stepsize= 1.000000
+dualbound = 3825659.019849, lowerbound=1311853.019849, norm of subgrad 1145.864748 dualbound = 3825659.019849, lowerbound=1311853.019849, norm of subgrad 34.424796 stepsize= 1.000000
+dualbound = 3825719.561852, lowerbound=1316451.561852, norm of subgrad 1147.880465 dualbound = 3825719.561852, lowerbound=1316451.561852, norm of subgrad 35.192925 stepsize= 1.000000
+dualbound = 3825768.551049, lowerbound=1311043.551049, norm of subgrad 1145.544653 dualbound = 3825768.551049, lowerbound=1311043.551049, norm of subgrad 35.748975 stepsize= 1.000000
+dualbound = 3825802.522973, lowerbound=1315906.522973, norm of subgrad 1147.660892 dualbound = 3825802.522973, lowerbound=1315906.522973, norm of subgrad 35.397343 stepsize= 1.000000
+dualbound = 3825881.963339, lowerbound=1315308.963339, norm of subgrad 1147.357818 dualbound = 3825881.963339, lowerbound=1315308.963339, norm of subgrad 34.647372 stepsize= 1.000000
+dualbound = 3825950.328717, lowerbound=1314540.328717, norm of subgrad 1146.988373 dualbound = 3825950.328717, lowerbound=1314540.328717, norm of subgrad 33.322145 stepsize= 1.000000
+dualbound = 3826010.615767, lowerbound=1314407.615767, norm of subgrad 1146.957112 dualbound = 3826010.615767, lowerbound=1314407.615767, norm of subgrad 34.106994 stepsize= 1.000000
+dualbound = 3826053.159734, lowerbound=1315642.159734, norm of subgrad 1147.485581 dualbound = 3826053.159734, lowerbound=1315642.159734, norm of subgrad 33.519307 stepsize= 1.000000
+dualbound = 3826119.754641, lowerbound=1317691.754641, norm of subgrad 1148.380057 dualbound = 3826119.754641, lowerbound=1317691.754641, norm of subgrad 33.935157 stepsize= 1.000000
+dualbound = 3826179.888665, lowerbound=1310551.888665, norm of subgrad 1145.275028 dualbound = 3826179.888665, lowerbound=1310551.888665, norm of subgrad 34.104751 stepsize= 1.000000
+dualbound = 3826209.394177, lowerbound=1315831.394178, norm of subgrad 1147.607683 dualbound = 3826209.394177, lowerbound=1315831.394178, norm of subgrad 34.662740 stepsize= 1.000000
+dualbound = 3826266.095836, lowerbound=1312033.095836, norm of subgrad 1145.948121 dualbound = 3826266.095836, lowerbound=1312033.095836, norm of subgrad 34.938541 stepsize= 1.000000
+dualbound = 3826312.467573, lowerbound=1317959.467573, norm of subgrad 1148.504448 dualbound = 3826312.467573, lowerbound=1317959.467573, norm of subgrad 33.902385 stepsize= 1.000000
+dualbound = 3826386.466410, lowerbound=1315456.466410, norm of subgrad 1147.452163 dualbound = 3826386.466410, lowerbound=1315456.466410, norm of subgrad 35.552761 stepsize= 1.000000
+dualbound = 3826423.732738, lowerbound=1319168.732738, norm of subgrad 1149.045575 dualbound = 3826423.732738, lowerbound=1319168.732738, norm of subgrad 34.267570 stepsize= 1.000000
+dualbound = 3826477.306645, lowerbound=1313677.306645, norm of subgrad 1146.663118 dualbound = 3826477.306645, lowerbound=1313677.306645, norm of subgrad 34.822032 stepsize= 1.000000
+dualbound = 3826537.144125, lowerbound=1314571.144125, norm of subgrad 1147.068936 dualbound = 3826537.144125, lowerbound=1314571.144125, norm of subgrad 35.437797 stepsize= 1.000000
+dualbound = 3826574.625359, lowerbound=1317154.625359, norm of subgrad 1148.184056 dualbound = 3826574.625359, lowerbound=1317154.625359, norm of subgrad 34.777597 stepsize= 1.000000
+dualbound = 3826651.216020, lowerbound=1318252.216020, norm of subgrad 1148.651477 dualbound = 3826651.216020, lowerbound=1318252.216020, norm of subgrad 34.994152 stepsize= 1.000000
+dualbound = 3826685.625177, lowerbound=1313331.625177, norm of subgrad 1146.526330 dualbound = 3826685.625177, lowerbound=1313331.625177, norm of subgrad 35.005845 stepsize= 1.000000
+dualbound = 3826752.696785, lowerbound=1320514.696785, norm of subgrad 1149.640682 dualbound = 3826752.696785, lowerbound=1320514.696785, norm of subgrad 35.015305 stepsize= 1.000000
+dualbound = 3826785.621844, lowerbound=1310341.621844, norm of subgrad 1145.212916 dualbound = 3826785.621844, lowerbound=1310341.621844, norm of subgrad 34.697623 stepsize= 1.000000
+dualbound = 3826875.010375, lowerbound=1311385.010375, norm of subgrad 1145.637818 dualbound = 3826875.010375, lowerbound=1311385.010375, norm of subgrad 34.502008 stepsize= 1.000000
+dualbound = 3826900.557954, lowerbound=1319719.557954, norm of subgrad 1149.296114 dualbound = 3826900.557954, lowerbound=1319719.557954, norm of subgrad 34.460812 stepsize= 1.000000
+dualbound = 3826967.715608, lowerbound=1313502.715608, norm of subgrad 1146.569542 dualbound = 3826967.715608, lowerbound=1313502.715608, norm of subgrad 34.440640 stepsize= 1.000000
+dualbound = 3827044.128822, lowerbound=1316462.128822, norm of subgrad 1147.857190 dualbound = 3827044.128822, lowerbound=1316462.128822, norm of subgrad 34.502365 stepsize= 1.000000
+dualbound = 3827067.468179, lowerbound=1311652.468179, norm of subgrad 1145.768069 dualbound = 3827067.468179, lowerbound=1311652.468179, norm of subgrad 33.990283 stepsize= 1.000000
+dualbound = 3827132.449224, lowerbound=1314757.449224, norm of subgrad 1147.133580 dualbound = 3827132.449224, lowerbound=1314757.449224, norm of subgrad 34.971146 stepsize= 1.000000
+dualbound = 3827184.707266, lowerbound=1316321.707266, norm of subgrad 1147.816495 dualbound = 3827184.707266, lowerbound=1316321.707266, norm of subgrad 34.831854 stepsize= 1.000000
+dualbound = 3827242.586521, lowerbound=1316467.586521, norm of subgrad 1147.846500 dualbound = 3827242.586521, lowerbound=1316467.586521, norm of subgrad 33.791704 stepsize= 1.000000
+dualbound = 3827330.559360, lowerbound=1324338.559360, norm of subgrad 1151.261291 dualbound = 3827330.559360, lowerbound=1324338.559360, norm of subgrad 33.940725 stepsize= 1.000000
+dualbound = 3827363.724399, lowerbound=1315026.724399, norm of subgrad 1147.195591 dualbound = 3827363.724399, lowerbound=1315026.724399, norm of subgrad 32.621543 stepsize= 1.000000
+dualbound = 3827425.083645, lowerbound=1317337.083645, norm of subgrad 1148.250445 dualbound = 3827425.083645, lowerbound=1317337.083645, norm of subgrad 34.689469 stepsize= 1.000000
+dualbound = 3827442.698397, lowerbound=1318771.698397, norm of subgrad 1148.854951 dualbound = 3827442.698397, lowerbound=1318771.698397, norm of subgrad 33.370867 stepsize= 1.000000
+dualbound = 3827538.256918, lowerbound=1311517.256918, norm of subgrad 1145.685060 dualbound = 3827538.256918, lowerbound=1311517.256918, norm of subgrad 34.242642 stepsize= 1.000000
+dualbound = 3827577.115979, lowerbound=1317931.115979, norm of subgrad 1148.483398 dualbound = 3827577.115979, lowerbound=1317931.115979, norm of subgrad 33.494165 stepsize= 1.000000
+dualbound = 3827633.291783, lowerbound=1321947.291783, norm of subgrad 1150.277919 dualbound = 3827633.291783, lowerbound=1321947.291783, norm of subgrad 35.329532 stepsize= 1.000000
+dualbound = 3827650.889490, lowerbound=1315935.889490, norm of subgrad 1147.644496 dualbound = 3827650.889490, lowerbound=1315935.889490, norm of subgrad 34.199382 stepsize= 1.000000
+dualbound = 3827732.965238, lowerbound=1316702.965238, norm of subgrad 1147.951203 dualbound = 3827732.965238, lowerbound=1316702.965238, norm of subgrad 34.220984 stepsize= 1.000000
+dualbound = 3827788.027073, lowerbound=1324418.027073, norm of subgrad 1151.315781 dualbound = 3827788.027073, lowerbound=1324418.027073, norm of subgrad 34.133002 stepsize= 1.000000
+dualbound = 3827838.987704, lowerbound=1314818.987704, norm of subgrad 1147.168683 dualbound = 3827838.987704, lowerbound=1314818.987704, norm of subgrad 35.042269 stepsize= 1.000000
+dualbound = 3827880.317861, lowerbound=1318583.317861, norm of subgrad 1148.795594 dualbound = 3827880.317861, lowerbound=1318583.317861, norm of subgrad 34.486666 stepsize= 1.000000
+dualbound = 3827940.202692, lowerbound=1315779.202692, norm of subgrad 1147.575794 dualbound = 3827940.202692, lowerbound=1315779.202692, norm of subgrad 34.797770 stepsize= 1.000000
+dualbound = 3827970.218333, lowerbound=1317475.218333, norm of subgrad 1148.329752 dualbound = 3827970.218333, lowerbound=1317475.218333, norm of subgrad 34.871416 stepsize= 1.000000
+dualbound = 3828047.940749, lowerbound=1320475.940749, norm of subgrad 1149.611213 dualbound = 3828047.940749, lowerbound=1320475.940749, norm of subgrad 34.752301 stepsize= 1.000000
+dualbound = 3828076.640151, lowerbound=1318032.640151, norm of subgrad 1148.547187 dualbound = 3828076.640151, lowerbound=1318032.640151, norm of subgrad 34.010284 stepsize= 1.000000
+dualbound = 3828170.472628, lowerbound=1311331.472628, norm of subgrad 1145.609651 dualbound = 3828170.472628, lowerbound=1311331.472628, norm of subgrad 34.406867 stepsize= 1.000000
+dualbound = 3828215.762053, lowerbound=1317842.762053, norm of subgrad 1148.466265 dualbound = 3828215.762053, lowerbound=1317842.762053, norm of subgrad 34.311651 stepsize= 1.000000
+dualbound = 3828267.420077, lowerbound=1317483.420077, norm of subgrad 1148.314164 dualbound = 3828267.420077, lowerbound=1317483.420077, norm of subgrad 34.549356 stepsize= 1.000000
+dualbound = 3828308.732983, lowerbound=1318491.732983, norm of subgrad 1148.762261 dualbound = 3828308.732983, lowerbound=1318491.732983, norm of subgrad 34.703212 stepsize= 1.000000
+dualbound = 3828376.224993, lowerbound=1316284.224993, norm of subgrad 1147.784050 dualbound = 3828376.224993, lowerbound=1316284.224993, norm of subgrad 34.517995 stepsize= 1.000000
+dualbound = 3828436.084948, lowerbound=1316164.084948, norm of subgrad 1147.748267 dualbound = 3828436.084948, lowerbound=1316164.084948, norm of subgrad 34.955113 stepsize= 1.000000
+dualbound = 3828477.469271, lowerbound=1320967.469271, norm of subgrad 1149.841932 dualbound = 3828477.469271, lowerbound=1320967.469271, norm of subgrad 34.790578 stepsize= 1.000000
+dualbound = 3828541.662205, lowerbound=1314838.662205, norm of subgrad 1147.155466 dualbound = 3828541.662205, lowerbound=1314838.662205, norm of subgrad 34.513663 stepsize= 1.000000
+dualbound = 3828608.187070, lowerbound=1318331.187070, norm of subgrad 1148.646241 dualbound = 3828608.187070, lowerbound=1318331.187070, norm of subgrad 33.519022 stepsize= 1.000000
+dualbound = 3828659.630514, lowerbound=1314979.630514, norm of subgrad 1147.205139 dualbound = 3828659.630514, lowerbound=1314979.630514, norm of subgrad 33.932926 stepsize= 1.000000
+dualbound = 3828699.543921, lowerbound=1319260.543921, norm of subgrad 1149.080739 dualbound = 3828699.543921, lowerbound=1319260.543921, norm of subgrad 34.145474 stepsize= 1.000000
+dualbound = 3828737.598917, lowerbound=1316884.598917, norm of subgrad 1148.045556 dualbound = 3828737.598917, lowerbound=1316884.598917, norm of subgrad 34.088928 stepsize= 1.000000
+dualbound = 3828807.259689, lowerbound=1318522.259689, norm of subgrad 1148.755962 dualbound = 3828807.259689, lowerbound=1318522.259689, norm of subgrad 34.462455 stepsize= 1.000000
+dualbound = 3828841.006186, lowerbound=1318056.006186, norm of subgrad 1148.588267 dualbound = 3828841.006186, lowerbound=1318056.006186, norm of subgrad 35.110490 stepsize= 1.000000
+dualbound = 3828886.396579, lowerbound=1317864.396579, norm of subgrad 1148.498322 dualbound = 3828886.396579, lowerbound=1317864.396579, norm of subgrad 35.062664 stepsize= 1.000000
+dualbound = 3828953.593400, lowerbound=1320074.593400, norm of subgrad 1149.453171 dualbound = 3828953.593400, lowerbound=1320074.593400, norm of subgrad 35.145367 stepsize= 1.000000
+dualbound = 3829012.670644, lowerbound=1320448.670644, norm of subgrad 1149.584129 dualbound = 3829012.670644, lowerbound=1320448.670644, norm of subgrad 33.971712 stepsize= 1.000000
+dualbound = 3829087.248159, lowerbound=1317344.248159, norm of subgrad 1148.254000 dualbound = 3829087.248159, lowerbound=1317344.248159, norm of subgrad 34.893803 stepsize= 1.000000
+dualbound = 3829121.680294, lowerbound=1320864.680294, norm of subgrad 1149.786363 dualbound = 3829121.680294, lowerbound=1320864.680294, norm of subgrad 34.328299 stepsize= 1.000000
+dualbound = 3829162.731928, lowerbound=1318227.731928, norm of subgrad 1148.670854 dualbound = 3829162.731928, lowerbound=1318227.731928, norm of subgrad 35.469024 stepsize= 1.000000
+dualbound = 3829219.774446, lowerbound=1314903.774446, norm of subgrad 1147.173385 dualbound = 3829219.774446, lowerbound=1314903.774446, norm of subgrad 34.059397 stepsize= 1.000000
+dualbound = 3829297.156294, lowerbound=1316882.156294, norm of subgrad 1148.014876 dualbound = 3829297.156294, lowerbound=1316882.156294, norm of subgrad 33.665737 stepsize= 1.000000
+dualbound = 3829336.751939, lowerbound=1316920.751939, norm of subgrad 1148.097013 dualbound = 3829336.751939, lowerbound=1316920.751939, norm of subgrad 35.292997 stepsize= 1.000000
+dualbound = 3829375.171599, lowerbound=1318094.171599, norm of subgrad 1148.583115 dualbound = 3829375.171599, lowerbound=1318094.171599, norm of subgrad 34.458956 stepsize= 1.000000
+dualbound = 3829448.049262, lowerbound=1316602.049262, norm of subgrad 1147.934253 dualbound = 3829448.049262, lowerbound=1316602.049262, norm of subgrad 34.983963 stepsize= 1.000000
+dualbound = 3829493.271197, lowerbound=1315511.271197, norm of subgrad 1147.456871 dualbound = 3829493.271197, lowerbound=1315511.271197, norm of subgrad 34.514083 stepsize= 1.000000
+dualbound = 3829566.241477, lowerbound=1319158.241477, norm of subgrad 1149.039269 dualbound = 3829566.241477, lowerbound=1319158.241477, norm of subgrad 34.727083 stepsize= 1.000000
+dualbound = 3829610.604407, lowerbound=1317676.604407, norm of subgrad 1148.388264 dualbound = 3829610.604407, lowerbound=1317676.604407, norm of subgrad 34.108107 stepsize= 1.000000
+dualbound = 3829671.202298, lowerbound=1316340.202298, norm of subgrad 1147.796673 dualbound = 3829671.202298, lowerbound=1316340.202298, norm of subgrad 34.023490 stepsize= 1.000000
+dualbound = 3829703.413869, lowerbound=1321618.413869, norm of subgrad 1150.113218 dualbound = 3829703.413869, lowerbound=1321618.413869, norm of subgrad 34.266771 stepsize= 1.000000
+dualbound = 3829774.658998, lowerbound=1316228.658998, norm of subgrad 1147.728478 dualbound = 3829774.658998, lowerbound=1316228.658998, norm of subgrad 33.514849 stepsize= 1.000000
+dualbound = 3829836.880210, lowerbound=1323293.880210, norm of subgrad 1150.814008 dualbound = 3829836.880210, lowerbound=1323293.880210, norm of subgrad 33.781966 stepsize= 1.000000
+dualbound = 3829877.053148, lowerbound=1318247.053148, norm of subgrad 1148.640089 dualbound = 3829877.053148, lowerbound=1318247.053148, norm of subgrad 34.163913 stepsize= 1.000000
+dualbound = 3829927.117846, lowerbound=1315089.117846, norm of subgrad 1147.262445 dualbound = 3829927.117846, lowerbound=1315089.117846, norm of subgrad 34.235430 stepsize= 1.000000
+dualbound = 3829975.836725, lowerbound=1318533.836725, norm of subgrad 1148.779281 dualbound = 3829975.836725, lowerbound=1318533.836725, norm of subgrad 34.766635 stepsize= 1.000000
+dualbound = 3830022.529113, lowerbound=1319193.529113, norm of subgrad 1149.048967 dualbound = 3830022.529113, lowerbound=1319193.529113, norm of subgrad 34.156879 stepsize= 1.000000
+dualbound = 3830091.659668, lowerbound=1320724.659668, norm of subgrad 1149.727646 dualbound = 3830091.659668, lowerbound=1320724.659668, norm of subgrad 34.901727 stepsize= 1.000000
+dualbound = 3830134.206091, lowerbound=1317144.206091, norm of subgrad 1148.187792 dualbound = 3830134.206091, lowerbound=1317144.206091, norm of subgrad 35.121880 stepsize= 1.000000
+dualbound = 3830174.716391, lowerbound=1318543.716391, norm of subgrad 1148.787934 dualbound = 3830174.716391, lowerbound=1318543.716391, norm of subgrad 34.792389 stepsize= 1.000000
+dualbound = 3830243.634725, lowerbound=1312497.634725, norm of subgrad 1146.129851 dualbound = 3830243.634725, lowerbound=1312497.634725, norm of subgrad 34.422643 stepsize= 1.000000
+dualbound = 3830304.930616, lowerbound=1319921.930616, norm of subgrad 1149.372407 dualbound = 3830304.930616, lowerbound=1319921.930616, norm of subgrad 34.587511 stepsize= 1.000000
+dualbound = 3830332.524608, lowerbound=1314781.524608, norm of subgrad 1147.155841 dualbound = 3830332.524608, lowerbound=1314781.524608, norm of subgrad 34.822320 stepsize= 1.000000
+dualbound = 3830402.042061, lowerbound=1322413.042061, norm of subgrad 1150.439065 dualbound = 3830402.042061, lowerbound=1322413.042061, norm of subgrad 34.154318 stepsize= 1.000000
+dualbound = 3830460.056510, lowerbound=1316591.056510, norm of subgrad 1147.886779 dualbound = 3830460.056510, lowerbound=1316591.056510, norm of subgrad 33.331883 stepsize= 1.000000
+dualbound = 3830522.963012, lowerbound=1318538.963012, norm of subgrad 1148.754962 dualbound = 3830522.963012, lowerbound=1318538.963012, norm of subgrad 34.086750 stepsize= 1.000000
+dualbound = 3830582.170599, lowerbound=1315716.170599, norm of subgrad 1147.513037 dualbound = 3830582.170599, lowerbound=1315716.170599, norm of subgrad 33.603684 stepsize= 1.000000
+dualbound = 3830640.171190, lowerbound=1321312.171190, norm of subgrad 1149.947899 dualbound = 3830640.171190, lowerbound=1321312.171190, norm of subgrad 33.555932 stepsize= 1.000000
+dualbound = 3830707.748312, lowerbound=1316169.748312, norm of subgrad 1147.688873 dualbound = 3830707.748312, lowerbound=1316169.748312, norm of subgrad 32.978434 stepsize= 1.000000
+dualbound = 3830764.780482, lowerbound=1324013.780482, norm of subgrad 1151.119794 dualbound = 3830764.780482, lowerbound=1324013.780482, norm of subgrad 33.466882 stepsize= 1.000000
+dualbound = 3830781.082024, lowerbound=1312873.082024, norm of subgrad 1146.281415 dualbound = 3830781.082024, lowerbound=1312873.082024, norm of subgrad 33.231033 stepsize= 1.000000
+dualbound = 3830840.038724, lowerbound=1326503.038724, norm of subgrad 1152.209199 dualbound = 3830840.038724, lowerbound=1326503.038724, norm of subgrad 33.792850 stepsize= 1.000000
+dualbound = 3830882.651653, lowerbound=1315322.651653, norm of subgrad 1147.362476 dualbound = 3830882.651653, lowerbound=1315322.651653, norm of subgrad 34.067770 stepsize= 1.000000
+dualbound = 3830928.989186, lowerbound=1318691.989186, norm of subgrad 1148.828964 dualbound = 3830928.989186, lowerbound=1318691.989186, norm of subgrad 34.093072 stepsize= 1.000000
+dualbound = 3830964.748998, lowerbound=1320890.748998, norm of subgrad 1149.812484 dualbound = 3830964.748998, lowerbound=1320890.748998, norm of subgrad 34.839056 stepsize= 1.000000
+dualbound = 3831031.128315, lowerbound=1317371.128315, norm of subgrad 1148.262657 dualbound = 3831031.128315, lowerbound=1317371.128315, norm of subgrad 34.675342 stepsize= 1.000000
+dualbound = 3831061.830827, lowerbound=1317322.830827, norm of subgrad 1148.242497 dualbound = 3831061.830827, lowerbound=1317322.830827, norm of subgrad 34.186291 stepsize= 1.000000
+dualbound = 3831135.241111, lowerbound=1314078.241111, norm of subgrad 1146.810464 dualbound = 3831135.241111, lowerbound=1314078.241111, norm of subgrad 34.196641 stepsize= 1.000000
+dualbound = 3831188.694227, lowerbound=1317646.694227, norm of subgrad 1148.359567 dualbound = 3831188.694227, lowerbound=1317646.694227, norm of subgrad 33.711320 stepsize= 1.000000
+dualbound = 3831266.570578, lowerbound=1324945.570578, norm of subgrad 1151.538350 dualbound = 3831266.570578, lowerbound=1324945.570578, norm of subgrad 34.247282 stepsize= 1.000000
+dualbound = 3831321.606074, lowerbound=1317433.606074, norm of subgrad 1148.255897 dualbound = 3831321.606074, lowerbound=1317433.606074, norm of subgrad 33.362187 stepsize= 1.000000
+dualbound = 3831375.713397, lowerbound=1316279.713397, norm of subgrad 1147.786876 dualbound = 3831375.713397, lowerbound=1316279.713397, norm of subgrad 34.483435 stepsize= 1.000000
+dualbound = 3831400.329784, lowerbound=1319148.329784, norm of subgrad 1149.043659 dualbound = 3831400.329784, lowerbound=1319148.329784, norm of subgrad 34.316416 stepsize= 1.000000
+dualbound = 3831456.162774, lowerbound=1322548.162774, norm of subgrad 1150.526037 dualbound = 3831456.162774, lowerbound=1322548.162774, norm of subgrad 34.897464 stepsize= 1.000000
+dualbound = 3831505.382785, lowerbound=1313351.382785, norm of subgrad 1146.515758 dualbound = 3831505.382785, lowerbound=1313351.382785, norm of subgrad 34.586414 stepsize= 1.000000
+dualbound = 3831559.701512, lowerbound=1316711.701512, norm of subgrad 1147.987239 dualbound = 3831559.701512, lowerbound=1316711.701512, norm of subgrad 34.890095 stepsize= 1.000000
+dualbound = 3831606.756106, lowerbound=1318773.756106, norm of subgrad 1148.887617 dualbound = 3831606.756106, lowerbound=1318773.756106, norm of subgrad 34.871974 stepsize= 1.000000
+dualbound = 3831667.146989, lowerbound=1316038.146989, norm of subgrad 1147.680769 dualbound = 3831667.146989, lowerbound=1316038.146989, norm of subgrad 34.545490 stepsize= 1.000000
+dualbound = 3831729.729985, lowerbound=1313899.729985, norm of subgrad 1146.729144 dualbound = 3831729.729985, lowerbound=1313899.729985, norm of subgrad 33.920245 stepsize= 1.000000
+dualbound = 3831798.033878, lowerbound=1319807.033878, norm of subgrad 1149.302847 dualbound = 3831798.033878, lowerbound=1319807.033878, norm of subgrad 34.033864 stepsize= 1.000000
+dualbound = 3831842.715937, lowerbound=1312910.715937, norm of subgrad 1146.309171 dualbound = 3831842.715937, lowerbound=1312910.715937, norm of subgrad 34.039419 stepsize= 1.000000
+dualbound = 3831883.014781, lowerbound=1316947.014781, norm of subgrad 1148.079708 dualbound = 3831883.014781, lowerbound=1316947.014781, norm of subgrad 34.355478 stepsize= 1.000000
+dualbound = 3831934.723242, lowerbound=1313524.723242, norm of subgrad 1146.574343 dualbound = 3831934.723242, lowerbound=1313524.723242, norm of subgrad 34.054493 stepsize= 1.000000
+dualbound = 3831996.461134, lowerbound=1323814.461134, norm of subgrad 1151.063187 dualbound = 3831996.461134, lowerbound=1323814.461134, norm of subgrad 34.550512 stepsize= 1.000000
+dualbound = 3832062.474846, lowerbound=1310237.474846, norm of subgrad 1145.113739 dualbound = 3832062.474846, lowerbound=1310237.474846, norm of subgrad 33.376844 stepsize= 1.000000
+dualbound = 3832108.018611, lowerbound=1321687.018611, norm of subgrad 1150.103047 dualbound = 3832108.018611, lowerbound=1321687.018611, norm of subgrad 33.098999 stepsize= 1.000000
+dualbound = 3832173.739248, lowerbound=1312523.739248, norm of subgrad 1146.123789 dualbound = 3832173.739248, lowerbound=1312523.739248, norm of subgrad 33.789357 stepsize= 1.000000
+dualbound = 3832234.215820, lowerbound=1317140.215820, norm of subgrad 1148.154265 dualbound = 3832234.215820, lowerbound=1317140.215820, norm of subgrad 34.328947 stepsize= 1.000000
+dualbound = 3832257.430150, lowerbound=1323609.430150, norm of subgrad 1151.009744 dualbound = 3832257.430150, lowerbound=1323609.430150, norm of subgrad 35.174058 stepsize= 1.000000
+dualbound = 3832310.758774, lowerbound=1317253.758774, norm of subgrad 1148.188033 dualbound = 3832310.758774, lowerbound=1317253.758774, norm of subgrad 33.694638 stepsize= 1.000000
+dualbound = 3832367.617242, lowerbound=1321865.617242, norm of subgrad 1150.220247 dualbound = 3832367.617242, lowerbound=1321865.617242, norm of subgrad 34.610092 stepsize= 1.000000
+dualbound = 3832430.480590, lowerbound=1315126.480590, norm of subgrad 1147.312286 dualbound = 3832430.480590, lowerbound=1315126.480590, norm of subgrad 35.522716 stepsize= 1.000000
+dualbound = 3832452.452052, lowerbound=1317042.452052, norm of subgrad 1148.121706 dualbound = 3832452.452052, lowerbound=1317042.452052, norm of subgrad 34.102367 stepsize= 1.000000
+dualbound = 3832522.649970, lowerbound=1316295.649970, norm of subgrad 1147.792076 dualbound = 3832522.649970, lowerbound=1316295.649970, norm of subgrad 34.658302 stepsize= 1.000000
+dualbound = 3832576.940354, lowerbound=1323380.940354, norm of subgrad 1150.875728 dualbound = 3832576.940354, lowerbound=1323380.940354, norm of subgrad 34.471588 stepsize= 1.000000
+dualbound = 3832640.789297, lowerbound=1318511.789297, norm of subgrad 1148.761851 dualbound = 3832640.789297, lowerbound=1318511.789297, norm of subgrad 34.725336 stepsize= 1.000000
+dualbound = 3832672.022697, lowerbound=1317255.022697, norm of subgrad 1148.213840 dualbound = 3832672.022697, lowerbound=1317255.022697, norm of subgrad 34.223287 stepsize= 1.000000
+dualbound = 3832752.334377, lowerbound=1317623.334377, norm of subgrad 1148.373778 dualbound = 3832752.334377, lowerbound=1317623.334377, norm of subgrad 34.918644 stepsize= 1.000000
+dualbound = 3832805.889139, lowerbound=1318452.889139, norm of subgrad 1148.705310 dualbound = 3832805.889139, lowerbound=1318452.889139, norm of subgrad 33.534382 stepsize= 1.000000
+dualbound = 3832852.055005, lowerbound=1321832.055005, norm of subgrad 1150.208266 dualbound = 3832852.055005, lowerbound=1321832.055005, norm of subgrad 34.542233 stepsize= 1.000000
+dualbound = 3832891.630994, lowerbound=1317792.630994, norm of subgrad 1148.458807 dualbound = 3832891.630994, lowerbound=1317792.630994, norm of subgrad 34.707002 stepsize= 1.000000
+dualbound = 3832954.689854, lowerbound=1321693.689854, norm of subgrad 1150.167679 dualbound = 3832954.689854, lowerbound=1321693.689854, norm of subgrad 35.426810 stepsize= 1.000000
+dualbound = 3833009.267669, lowerbound=1317542.267669, norm of subgrad 1148.338046 dualbound = 3833009.267669, lowerbound=1317542.267669, norm of subgrad 34.533720 stepsize= 1.000000
+dualbound = 3833086.455159, lowerbound=1316337.455159, norm of subgrad 1147.806367 dualbound = 3833086.455159, lowerbound=1316337.455159, norm of subgrad 34.629287 stepsize= 1.000000
+dualbound = 3833121.576522, lowerbound=1319211.576522, norm of subgrad 1149.043766 dualbound = 3833121.576522, lowerbound=1319211.576522, norm of subgrad 33.542829 stepsize= 1.000000
+dualbound = 3833195.814633, lowerbound=1314591.814633, norm of subgrad 1147.062254 dualbound = 3833195.814633, lowerbound=1314591.814633, norm of subgrad 35.131725 stepsize= 1.000000
+dualbound = 3833221.315281, lowerbound=1321560.315281, norm of subgrad 1150.076656 dualbound = 3833221.315281, lowerbound=1321560.315281, norm of subgrad 33.786101 stepsize= 1.000000
+dualbound = 3833290.318784, lowerbound=1317007.318784, norm of subgrad 1148.111196 dualbound = 3833290.318784, lowerbound=1317007.318784, norm of subgrad 34.942861 stepsize= 1.000000
+dualbound = 3833337.216432, lowerbound=1314639.216432, norm of subgrad 1147.053711 dualbound = 3833337.216432, lowerbound=1314639.216432, norm of subgrad 33.762370 stepsize= 1.000000
+dualbound = 3833414.907198, lowerbound=1322970.907198, norm of subgrad 1150.654121 dualbound = 3833414.907198, lowerbound=1322970.907198, norm of subgrad 33.342027 stepsize= 1.000000
+dualbound = 3833444.044297, lowerbound=1316926.044297, norm of subgrad 1148.054025 dualbound = 3833444.044297, lowerbound=1316926.044297, norm of subgrad 33.632382 stepsize= 1.000000
+dualbound = 3833491.118547, lowerbound=1317402.118547, norm of subgrad 1148.300535 dualbound = 3833491.118547, lowerbound=1317402.118547, norm of subgrad 35.200487 stepsize= 1.000000
+dualbound = 3833521.344124, lowerbound=1318907.344124, norm of subgrad 1148.953151 dualbound = 3833521.344124, lowerbound=1318907.344124, norm of subgrad 34.874426 stepsize= 1.000000
+dualbound = 3833594.128571, lowerbound=1315612.128571, norm of subgrad 1147.521733 dualbound = 3833594.128571, lowerbound=1315612.128571, norm of subgrad 35.591915 stepsize= 1.000000
+dualbound = 3833622.291230, lowerbound=1318510.291230, norm of subgrad 1148.761634 dualbound = 3833622.291230, lowerbound=1318510.291230, norm of subgrad 34.222254 stepsize= 1.000000
+dualbound = 3833720.205344, lowerbound=1319943.205344, norm of subgrad 1149.378617 dualbound = 3833720.205344, lowerbound=1319943.205344, norm of subgrad 35.013056 stepsize= 1.000000
+dualbound = 3833740.493539, lowerbound=1314731.493539, norm of subgrad 1147.143624 dualbound = 3833740.493539, lowerbound=1314731.493539, norm of subgrad 35.032673 stepsize= 1.000000
+dualbound = 3833786.980663, lowerbound=1318421.980663, norm of subgrad 1148.716232 dualbound = 3833786.980663, lowerbound=1318421.980663, norm of subgrad 34.256198 stepsize= 1.000000
+dualbound = 3833876.131194, lowerbound=1321114.131194, norm of subgrad 1149.867441 dualbound = 3833876.131194, lowerbound=1321114.131194, norm of subgrad 34.207463 stepsize= 1.000000
+dualbound = 3833927.234686, lowerbound=1312452.234686, norm of subgrad 1146.111354 dualbound = 3833927.234686, lowerbound=1312452.234686, norm of subgrad 34.206776 stepsize= 1.000000
+dualbound = 3833951.542789, lowerbound=1321506.542789, norm of subgrad 1150.073277 dualbound = 3833951.542789, lowerbound=1321506.542789, norm of subgrad 34.442824 stepsize= 1.000000
+dualbound = 3834003.294223, lowerbound=1313496.294223, norm of subgrad 1146.602501 dualbound = 3834003.294223, lowerbound=1313496.294223, norm of subgrad 35.394229 stepsize= 1.000000
+dualbound = 3834069.539303, lowerbound=1323346.539303, norm of subgrad 1150.872078 dualbound = 3834069.539303, lowerbound=1323346.539303, norm of subgrad 35.017782 stepsize= 1.000000
+dualbound = 3834114.160535, lowerbound=1312730.160535, norm of subgrad 1146.239574 dualbound = 3834114.160535, lowerbound=1312730.160535, norm of subgrad 34.345614 stepsize= 1.000000
+dualbound = 3834181.757146, lowerbound=1317070.757146, norm of subgrad 1148.107468 dualbound = 3834181.757146, lowerbound=1317070.757146, norm of subgrad 33.876195 stepsize= 1.000000
+dualbound = 3834256.553313, lowerbound=1315679.553313, norm of subgrad 1147.495775 dualbound = 3834256.553313, lowerbound=1315679.553313, norm of subgrad 33.790474 stepsize= 1.000000
+dualbound = 3834309.401235, lowerbound=1321488.401235, norm of subgrad 1150.056695 dualbound = 3834309.401235, lowerbound=1321488.401235, norm of subgrad 34.566572 stepsize= 1.000000
+dualbound = 3834333.257534, lowerbound=1316290.257534, norm of subgrad 1147.816735 dualbound = 3834333.257534, lowerbound=1316290.257534, norm of subgrad 34.883467 stepsize= 1.000000
+dualbound = 3834382.944707, lowerbound=1319961.944707, norm of subgrad 1149.375894 dualbound = 3834382.944707, lowerbound=1319961.944707, norm of subgrad 33.951247 stepsize= 1.000000
+dualbound = 3834465.277649, lowerbound=1316256.277649, norm of subgrad 1147.765776 dualbound = 3834465.277649, lowerbound=1316256.277649, norm of subgrad 34.530174 stepsize= 1.000000
+dualbound = 3834493.142660, lowerbound=1322032.142660, norm of subgrad 1150.270030 dualbound = 3834493.142660, lowerbound=1322032.142660, norm of subgrad 33.419530 stepsize= 1.000000
+dualbound = 3834572.884131, lowerbound=1317577.884131, norm of subgrad 1148.334831 dualbound = 3834572.884131, lowerbound=1317577.884131, norm of subgrad 34.274502 stepsize= 1.000000
+dualbound = 3834604.025921, lowerbound=1319621.025921, norm of subgrad 1149.256293 dualbound = 3834604.025921, lowerbound=1319621.025921, norm of subgrad 34.643063 stepsize= 1.000000
+dualbound = 3834661.626924, lowerbound=1315907.626924, norm of subgrad 1147.608220 dualbound = 3834661.626924, lowerbound=1315907.626924, norm of subgrad 33.979420 stepsize= 1.000000
+dualbound = 3834737.624400, lowerbound=1323080.624400, norm of subgrad 1150.716570 dualbound = 3834737.624400, lowerbound=1323080.624400, norm of subgrad 33.823032 stepsize= 1.000000
+dualbound = 3834779.463296, lowerbound=1316766.463296, norm of subgrad 1147.987571 dualbound = 3834779.463296, lowerbound=1316766.463296, norm of subgrad 33.924017 stepsize= 1.000000
+dualbound = 3834826.623470, lowerbound=1321648.623470, norm of subgrad 1150.105484 dualbound = 3834826.623470, lowerbound=1321648.623470, norm of subgrad 33.781062 stepsize= 1.000000
+dualbound = 3834888.721885, lowerbound=1314140.721885, norm of subgrad 1146.829857 dualbound = 3834888.721885, lowerbound=1314140.721885, norm of subgrad 33.765343 stepsize= 1.000000
+dualbound = 3834924.611360, lowerbound=1323553.611360, norm of subgrad 1150.927718 dualbound = 3834924.611360, lowerbound=1323553.611360, norm of subgrad 33.419896 stepsize= 1.000000
+dualbound = 3834997.492699, lowerbound=1320844.492699, norm of subgrad 1149.749752 dualbound = 3834997.492699, lowerbound=1320844.492699, norm of subgrad 33.954106 stepsize= 1.000000
+dualbound = 3835053.752673, lowerbound=1314282.752673, norm of subgrad 1146.882188 dualbound = 3835053.752673, lowerbound=1314282.752673, norm of subgrad 33.350562 stepsize= 1.000000
+dualbound = 3835098.799962, lowerbound=1317582.799962, norm of subgrad 1148.357000 dualbound = 3835098.799962, lowerbound=1317582.799962, norm of subgrad 34.439037 stepsize= 1.000000
+dualbound = 3835122.687569, lowerbound=1316061.687569, norm of subgrad 1147.678826 dualbound = 3835122.687569, lowerbound=1316061.687569, norm of subgrad 33.598923 stepsize= 1.000000
+dualbound = 3835197.990650, lowerbound=1314392.990650, norm of subgrad 1146.938094 dualbound = 3835197.990650, lowerbound=1314392.990650, norm of subgrad 33.901373 stepsize= 1.000000
+dualbound = 3835264.458741, lowerbound=1316979.458741, norm of subgrad 1148.097321 dualbound = 3835264.458741, lowerbound=1316979.458741, norm of subgrad 34.849219 stepsize= 1.000000
+dualbound = 3835303.096905, lowerbound=1316552.096905, norm of subgrad 1147.925562 dualbound = 3835303.096905, lowerbound=1316552.096905, norm of subgrad 34.923318 stepsize= 1.000000
+dualbound = 3835349.607573, lowerbound=1319672.607573, norm of subgrad 1149.295266 dualbound = 3835349.607573, lowerbound=1319672.607573, norm of subgrad 35.404953 stepsize= 1.000000
+dualbound = 3835393.197000, lowerbound=1311142.197000, norm of subgrad 1145.558902 dualbound = 3835393.197000, lowerbound=1311142.197000, norm of subgrad 34.735996 stepsize= 1.000000
+dualbound = 3835457.958995, lowerbound=1317694.958995, norm of subgrad 1148.401915 dualbound = 3835457.958995, lowerbound=1317694.958995, norm of subgrad 34.594248 stepsize= 1.000000
+dualbound = 3835546.518163, lowerbound=1316812.518163, norm of subgrad 1147.992386 dualbound = 3835546.518163, lowerbound=1316812.518163, norm of subgrad 34.096322 stepsize= 1.000000
+dualbound = 3835587.743937, lowerbound=1316740.743937, norm of subgrad 1147.966787 dualbound = 3835587.743937, lowerbound=1316740.743937, norm of subgrad 33.589072 stepsize= 1.000000
+dualbound = 3835646.906188, lowerbound=1318895.906188, norm of subgrad 1148.900738 dualbound = 3835646.906188, lowerbound=1318895.906188, norm of subgrad 33.707006 stepsize= 1.000000
+dualbound = 3835674.293065, lowerbound=1319573.293065, norm of subgrad 1149.209421 dualbound = 3835674.293065, lowerbound=1319573.293065, norm of subgrad 33.710338 stepsize= 1.000000
+dualbound = 3835742.901223, lowerbound=1316797.901223, norm of subgrad 1148.003006 dualbound = 3835742.901223, lowerbound=1316797.901223, norm of subgrad 34.374528 stepsize= 1.000000
+dualbound = 3835796.664766, lowerbound=1318500.664766, norm of subgrad 1148.750045 dualbound = 3835796.664766, lowerbound=1318500.664766, norm of subgrad 34.347686 stepsize= 1.000000
+dualbound = 3835848.864330, lowerbound=1317729.864330, norm of subgrad 1148.420160 dualbound = 3835848.864330, lowerbound=1317729.864330, norm of subgrad 34.513759 stepsize= 1.000000
+dualbound = 3835882.848495, lowerbound=1317584.848495, norm of subgrad 1148.352232 dualbound = 3835882.848495, lowerbound=1317584.848495, norm of subgrad 34.087889 stepsize= 1.000000
+dualbound = 3835956.119877, lowerbound=1322824.119877, norm of subgrad 1150.641178 dualbound = 3835956.119877, lowerbound=1322824.119877, norm of subgrad 34.989590 stepsize= 1.000000
+dualbound = 3835978.240563, lowerbound=1316768.240563, norm of subgrad 1148.000976 dualbound = 3835978.240563, lowerbound=1316768.240563, norm of subgrad 34.060544 stepsize= 1.000000
+dualbound = 3836047.657611, lowerbound=1320324.657611, norm of subgrad 1149.530190 dualbound = 3836047.657611, lowerbound=1320324.657611, norm of subgrad 34.123556 stepsize= 1.000000
+dualbound = 3836116.675358, lowerbound=1316691.675358, norm of subgrad 1147.953255 dualbound = 3836116.675358, lowerbound=1316691.675358, norm of subgrad 34.263942 stepsize= 1.000000
+dualbound = 3836146.462309, lowerbound=1320158.462309, norm of subgrad 1149.472689 dualbound = 3836146.462309, lowerbound=1320158.462309, norm of subgrad 34.040960 stepsize= 1.000000
+dualbound = 3836196.650422, lowerbound=1319740.650422, norm of subgrad 1149.293109 dualbound = 3836196.650422, lowerbound=1319740.650422, norm of subgrad 34.412034 stepsize= 1.000000
+dualbound = 3836268.791674, lowerbound=1320304.791674, norm of subgrad 1149.529813 dualbound = 3836268.791674, lowerbound=1320304.791674, norm of subgrad 34.440401 stepsize= 1.000000
+dualbound = 3836309.710031, lowerbound=1318690.710031, norm of subgrad 1148.824926 dualbound = 3836309.710031, lowerbound=1318690.710031, norm of subgrad 33.895698 stepsize= 1.000000
+dualbound = 3836392.444381, lowerbound=1320126.444381, norm of subgrad 1149.449627 dualbound = 3836392.444381, lowerbound=1320126.444381, norm of subgrad 34.507019 stepsize= 1.000000
+dualbound = 3836420.116521, lowerbound=1319692.116521, norm of subgrad 1149.295922 dualbound = 3836420.116521, lowerbound=1319692.116521, norm of subgrad 34.880828 stepsize= 1.000000
+dualbound = 3836470.811807, lowerbound=1320452.811807, norm of subgrad 1149.645516 dualbound = 3836470.811807, lowerbound=1320452.811807, norm of subgrad 35.814736 stepsize= 1.000000
+dualbound = 3836496.680628, lowerbound=1316688.680628, norm of subgrad 1147.998554 dualbound = 3836496.680628, lowerbound=1316688.680628, norm of subgrad 35.183360 stepsize= 1.000000
+dualbound = 3836567.217415, lowerbound=1316742.217415, norm of subgrad 1148.038857 dualbound = 3836567.217415, lowerbound=1316742.217415, norm of subgrad 36.352947 stepsize= 1.000000
+dualbound = 3836614.418919, lowerbound=1319446.418919, norm of subgrad 1149.212086 dualbound = 3836614.418919, lowerbound=1319446.418919, norm of subgrad 35.905452 stepsize= 1.000000
+dualbound = 3836667.850137, lowerbound=1317485.850137, norm of subgrad 1148.329591 dualbound = 3836667.850137, lowerbound=1317485.850137, norm of subgrad 35.048983 stepsize= 1.000000
+dualbound = 3836707.981314, lowerbound=1321324.981314, norm of subgrad 1149.986514 dualbound = 3836707.981314, lowerbound=1321324.981314, norm of subgrad 34.411207 stepsize= 1.000000
+dualbound = 3836815.042065, lowerbound=1318959.042065, norm of subgrad 1148.920381 dualbound = 3836815.042065, lowerbound=1318959.042065, norm of subgrad 34.147632 stepsize= 1.000000
+dualbound = 3836848.020021, lowerbound=1318884.020021, norm of subgrad 1148.908186 dualbound = 3836848.020021, lowerbound=1318884.020021, norm of subgrad 33.748747 stepsize= 1.000000
+dualbound = 3836895.416845, lowerbound=1314758.416845, norm of subgrad 1147.115259 dualbound = 3836895.416845, lowerbound=1314758.416845, norm of subgrad 34.093941 stepsize= 1.000000
+dualbound = 3836953.584289, lowerbound=1320314.584289, norm of subgrad 1149.532768 dualbound = 3836953.584289, lowerbound=1320314.584289, norm of subgrad 34.193091 stepsize= 1.000000
+dualbound = 3837012.899171, lowerbound=1318823.899171, norm of subgrad 1148.885503 dualbound = 3837012.899171, lowerbound=1318823.899171, norm of subgrad 34.253684 stepsize= 1.000000
+dualbound = 3837035.349938, lowerbound=1320977.349938, norm of subgrad 1149.846229 dualbound = 3837035.349938, lowerbound=1320977.349938, norm of subgrad 34.517398 stepsize= 1.000000
+dualbound = 3837103.681959, lowerbound=1314958.681959, norm of subgrad 1147.206469 dualbound = 3837103.681959, lowerbound=1314958.681959, norm of subgrad 34.530161 stepsize= 1.000000
+dualbound = 3837156.618267, lowerbound=1317694.618267, norm of subgrad 1148.393930 dualbound = 3837156.618267, lowerbound=1317694.618267, norm of subgrad 34.160449 stepsize= 1.000000
+dualbound = 3837216.517939, lowerbound=1319271.517939, norm of subgrad 1149.060276 dualbound = 3837216.517939, lowerbound=1319271.517939, norm of subgrad 33.584218 stepsize= 1.000000
+dualbound = 3837294.534939, lowerbound=1315475.534939, norm of subgrad 1147.409489 dualbound = 3837294.534939, lowerbound=1315475.534939, norm of subgrad 33.926641 stepsize= 1.000000
+dualbound = 3837334.578989, lowerbound=1321804.578989, norm of subgrad 1150.171543 dualbound = 3837334.578989, lowerbound=1321804.578989, norm of subgrad 33.616128 stepsize= 1.000000
+dualbound = 3837387.641777, lowerbound=1316425.641777, norm of subgrad 1147.844346 dualbound = 3837387.641777, lowerbound=1316425.641777, norm of subgrad 34.264600 stepsize= 1.000000
+dualbound = 3837423.504521, lowerbound=1318897.504521, norm of subgrad 1148.907527 dualbound = 3837423.504521, lowerbound=1318897.504521, norm of subgrad 33.568776 stepsize= 1.000000
+dualbound = 3837495.013079, lowerbound=1317338.013079, norm of subgrad 1148.260429 dualbound = 3837495.013079, lowerbound=1317338.013079, norm of subgrad 35.149802 stepsize= 1.000000
+dualbound = 3837521.228536, lowerbound=1315270.228536, norm of subgrad 1147.365778 dualbound = 3837521.228536, lowerbound=1315270.228536, norm of subgrad 34.701808 stepsize= 1.000000
+dualbound = 3837583.064395, lowerbound=1318311.064395, norm of subgrad 1148.690152 dualbound = 3837583.064395, lowerbound=1318311.064395, norm of subgrad 35.211303 stepsize= 1.000000
+dualbound = 3837620.429423, lowerbound=1316691.429423, norm of subgrad 1147.968828 dualbound = 3837620.429423, lowerbound=1316691.429423, norm of subgrad 34.327322 stepsize= 1.000000
+dualbound = 3837697.601403, lowerbound=1321567.601403, norm of subgrad 1150.071564 dualbound = 3837697.601403, lowerbound=1321567.601403, norm of subgrad 34.266193 stepsize= 1.000000
+dualbound = 3837763.775297, lowerbound=1316994.775297, norm of subgrad 1148.079603 dualbound = 3837763.775297, lowerbound=1316994.775297, norm of subgrad 34.031954 stepsize= 1.000000
+dualbound = 3837799.843288, lowerbound=1321715.843288, norm of subgrad 1150.146010 dualbound = 3837799.843288, lowerbound=1321715.843288, norm of subgrad 34.001000 stepsize= 1.000000
+dualbound = 3837866.166372, lowerbound=1320295.166372, norm of subgrad 1149.525627 dualbound = 3837866.166372, lowerbound=1320295.166372, norm of subgrad 34.355830 stepsize= 1.000000
+dualbound = 3837929.160632, lowerbound=1316302.160632, norm of subgrad 1147.804496 dualbound = 3837929.160632, lowerbound=1316302.160632, norm of subgrad 34.871109 stepsize= 1.000000
+dualbound = 3837956.620920, lowerbound=1318292.620920, norm of subgrad 1148.666018 dualbound = 3837956.620920, lowerbound=1318292.620920, norm of subgrad 34.182748 stepsize= 1.000000
+dualbound = 3838035.716468, lowerbound=1317314.716468, norm of subgrad 1148.220674 dualbound = 3838035.716468, lowerbound=1317314.716468, norm of subgrad 34.279667 stepsize= 1.000000
+dualbound = 3838066.277004, lowerbound=1318773.277004, norm of subgrad 1148.868694 dualbound = 3838066.277004, lowerbound=1318773.277004, norm of subgrad 34.008242 stepsize= 1.000000
+dualbound = 3838130.022655, lowerbound=1314685.022655, norm of subgrad 1147.094165 dualbound = 3838130.022655, lowerbound=1314685.022655, norm of subgrad 34.695038 stepsize= 1.000000
+dualbound = 3838177.623185, lowerbound=1315875.623185, norm of subgrad 1147.581641 dualbound = 3838177.623185, lowerbound=1315875.623185, norm of subgrad 33.400607 stepsize= 1.000000
+dualbound = 3838250.420881, lowerbound=1317416.420881, norm of subgrad 1148.247979 dualbound = 3838250.420881, lowerbound=1317416.420881, norm of subgrad 33.612463 stepsize= 1.000000
+dualbound = 3838301.548210, lowerbound=1318754.548210, norm of subgrad 1148.848793 dualbound = 3838301.548210, lowerbound=1318754.548210, norm of subgrad 33.913527 stepsize= 1.000000
+dualbound = 3838358.352916, lowerbound=1320357.352916, norm of subgrad 1149.563114 dualbound = 3838358.352916, lowerbound=1320357.352916, norm of subgrad 34.565947 stepsize= 1.000000
+dualbound = 3838379.424843, lowerbound=1313185.424843, norm of subgrad 1146.436839 dualbound = 3838379.424843, lowerbound=1313185.424843, norm of subgrad 33.956913 stepsize= 1.000000
+dualbound = 3838434.734773, lowerbound=1319509.734773, norm of subgrad 1149.213964 dualbound = 3838434.734773, lowerbound=1319509.734773, norm of subgrad 35.189628 stepsize= 1.000000
+dualbound = 3838485.661271, lowerbound=1320504.661271, norm of subgrad 1149.631968 dualbound = 3838485.661271, lowerbound=1320504.661271, norm of subgrad 34.639955 stepsize= 1.000000
+dualbound = 3838546.979588, lowerbound=1319443.979588, norm of subgrad 1149.159684 dualbound = 3838546.979588, lowerbound=1319443.979588, norm of subgrad 34.428452 stepsize= 1.000000
+dualbound = 3838602.588766, lowerbound=1317090.588766, norm of subgrad 1148.135266 dualbound = 3838602.588766, lowerbound=1317090.588766, norm of subgrad 34.345439 stepsize= 1.000000
+dualbound = 3838687.787532, lowerbound=1323087.787532, norm of subgrad 1150.740973 dualbound = 3838687.787532, lowerbound=1323087.787532, norm of subgrad 34.672738 stepsize= 1.000000
+dualbound = 3838698.509672, lowerbound=1321414.509672, norm of subgrad 1150.038047 dualbound = 3838698.509672, lowerbound=1321414.509672, norm of subgrad 34.405263 stepsize= 1.000000
+dualbound = 3838768.094702, lowerbound=1317586.094702, norm of subgrad 1148.347114 dualbound = 3838768.094702, lowerbound=1317586.094702, norm of subgrad 34.417801 stepsize= 1.000000
+dualbound = 3838823.822342, lowerbound=1319294.822342, norm of subgrad 1149.099135 dualbound = 3838823.822342, lowerbound=1319294.822342, norm of subgrad 34.492429 stepsize= 1.000000
+dualbound = 3838864.558711, lowerbound=1319507.558711, norm of subgrad 1149.185172 dualbound = 3838864.558711, lowerbound=1319507.558711, norm of subgrad 34.054902 stepsize= 1.000000
+dualbound = 3838937.395523, lowerbound=1318525.395523, norm of subgrad 1148.742528 dualbound = 3838937.395523, lowerbound=1318525.395523, norm of subgrad 34.012304 stepsize= 1.000000
+dualbound = 3838977.276743, lowerbound=1313435.276743, norm of subgrad 1146.524434 dualbound = 3838977.276743, lowerbound=1313435.276743, norm of subgrad 33.509420 stepsize= 1.000000
+dualbound = 3839039.795841, lowerbound=1318696.795841, norm of subgrad 1148.808860 dualbound = 3839039.795841, lowerbound=1318696.795841, norm of subgrad 33.578551 stepsize= 1.000000
+dualbound = 3839088.448282, lowerbound=1317587.448282, norm of subgrad 1148.344656 dualbound = 3839088.448282, lowerbound=1317587.448282, norm of subgrad 34.009593 stepsize= 1.000000
+dualbound = 3839126.333968, lowerbound=1316094.333968, norm of subgrad 1147.689563 dualbound = 3839126.333968, lowerbound=1316094.333968, norm of subgrad 33.688064 stepsize= 1.000000
+dualbound = 3839190.333828, lowerbound=1317165.333828, norm of subgrad 1148.159106 dualbound = 3839190.333828, lowerbound=1317165.333828, norm of subgrad 34.176013 stepsize= 1.000000
+dualbound = 3839262.176575, lowerbound=1318194.176575, norm of subgrad 1148.607059 dualbound = 3839262.176575, lowerbound=1318194.176575, norm of subgrad 34.290564 stepsize= 1.000000
+dualbound = 3839287.725140, lowerbound=1319668.725140, norm of subgrad 1149.285746 dualbound = 3839287.725140, lowerbound=1319668.725140, norm of subgrad 34.850374 stepsize= 1.000000
+dualbound = 3839337.725686, lowerbound=1315500.725686, norm of subgrad 1147.440511 dualbound = 3839337.725686, lowerbound=1315500.725686, norm of subgrad 34.190650 stepsize= 1.000000
+dualbound = 3839413.418460, lowerbound=1318665.418460, norm of subgrad 1148.825669 dualbound = 3839413.418460, lowerbound=1318665.418460, norm of subgrad 34.795011 stepsize= 1.000000
+dualbound = 3839455.536357, lowerbound=1323459.536357, norm of subgrad 1150.902488 dualbound = 3839455.536357, lowerbound=1323459.536357, norm of subgrad 34.045821 stepsize= 1.000000
+dualbound = 3839508.858049, lowerbound=1315700.858049, norm of subgrad 1147.512901 dualbound = 3839508.858049, lowerbound=1315700.858049, norm of subgrad 33.739023 stepsize= 1.000000
+dualbound = 3839559.426926, lowerbound=1318672.426926, norm of subgrad 1148.829590 dualbound = 3839559.426926, lowerbound=1318672.426926, norm of subgrad 34.461121 stepsize= 1.000000
+dualbound = 3839624.630780, lowerbound=1315384.630780, norm of subgrad 1147.377719 dualbound = 3839624.630780, lowerbound=1315384.630780, norm of subgrad 34.002998 stepsize= 1.000000
+dualbound = 3839661.347031, lowerbound=1320989.347031, norm of subgrad 1149.812744 dualbound = 3839661.347031, lowerbound=1320989.347031, norm of subgrad 33.417305 stepsize= 1.000000
+dualbound = 3839729.817635, lowerbound=1319040.817635, norm of subgrad 1148.995569 dualbound = 3839729.817635, lowerbound=1319040.817635, norm of subgrad 34.906598 stepsize= 1.000000
+dualbound = 3839758.473910, lowerbound=1318747.473910, norm of subgrad 1148.863993 dualbound = 3839758.473910, lowerbound=1318747.473910, norm of subgrad 34.200238 stepsize= 1.000000
+dualbound = 3839810.204841, lowerbound=1317189.204841, norm of subgrad 1148.220016 dualbound = 3839810.204841, lowerbound=1317189.204841, norm of subgrad 35.661337 stepsize= 1.000000
+dualbound = 3839832.510250, lowerbound=1317377.510250, norm of subgrad 1148.269354 dualbound = 3839832.510250, lowerbound=1317377.510250, norm of subgrad 34.165852 stepsize= 1.000000
+dualbound = 3839934.756523, lowerbound=1317071.756523, norm of subgrad 1148.143178 dualbound = 3839934.756523, lowerbound=1317071.756523, norm of subgrad 35.542176 stepsize= 1.000000
+dualbound = 3839978.395448, lowerbound=1314419.395448, norm of subgrad 1146.983607 dualbound = 3839978.395448, lowerbound=1314419.395448, norm of subgrad 34.578012 stepsize= 1.000000
+dualbound = 3840022.601825, lowerbound=1320236.601825, norm of subgrad 1149.512332 dualbound = 3840022.601825, lowerbound=1320236.601825, norm of subgrad 34.441347 stepsize= 1.000000
+dualbound = 3840094.948613, lowerbound=1314388.948613, norm of subgrad 1146.973822 dualbound = 3840094.948613, lowerbound=1314388.948613, norm of subgrad 35.104797 stepsize= 1.000000
+dualbound = 3840128.958931, lowerbound=1317809.958931, norm of subgrad 1148.445889 dualbound = 3840128.958931, lowerbound=1317809.958931, norm of subgrad 33.941277 stepsize= 1.000000
+dualbound = 3840197.694320, lowerbound=1312505.694320, norm of subgrad 1146.151253 dualbound = 3840197.694320, lowerbound=1312505.694320, norm of subgrad 35.010504 stepsize= 1.000000
+dualbound = 3840253.325309, lowerbound=1323768.325309, norm of subgrad 1151.045319 dualbound = 3840253.325309, lowerbound=1323768.325309, norm of subgrad 34.534490 stepsize= 1.000000
+dualbound = 3840302.134432, lowerbound=1315700.134432, norm of subgrad 1147.530886 dualbound = 3840302.134432, lowerbound=1315700.134432, norm of subgrad 34.290073 stepsize= 1.000000
+dualbound = 3840344.188852, lowerbound=1316045.188852, norm of subgrad 1147.679044 dualbound = 3840344.188852, lowerbound=1316045.188852, norm of subgrad 34.118242 stepsize= 1.000000
+dualbound = 3840411.596280, lowerbound=1312122.596280, norm of subgrad 1145.988044 dualbound = 3840411.596280, lowerbound=1312122.596280, norm of subgrad 35.119901 stepsize= 1.000000
+dualbound = 3840448.225272, lowerbound=1319608.225272, norm of subgrad 1149.263775 dualbound = 3840448.225272, lowerbound=1319608.225272, norm of subgrad 35.151515 stepsize= 1.000000
+dualbound = 3840479.437636, lowerbound=1321387.437636, norm of subgrad 1150.026277 dualbound = 3840479.437636, lowerbound=1321387.437636, norm of subgrad 34.701763 stepsize= 1.000000
+dualbound = 3840574.913056, lowerbound=1318468.913056, norm of subgrad 1148.739271 dualbound = 3840574.913056, lowerbound=1318468.913056, norm of subgrad 35.049614 stepsize= 1.000000
+dualbound = 3840619.146546, lowerbound=1318837.146546, norm of subgrad 1148.903019 dualbound = 3840619.146546, lowerbound=1318837.146546, norm of subgrad 34.427220 stepsize= 1.000000
+dualbound = 3840665.109598, lowerbound=1313442.109598, norm of subgrad 1146.558376 dualbound = 3840665.109598, lowerbound=1313442.109598, norm of subgrad 34.640483 stepsize= 1.000000
+dualbound = 3840727.705093, lowerbound=1320751.705093, norm of subgrad 1149.732014 dualbound = 3840727.705093, lowerbound=1320751.705093, norm of subgrad 34.562921 stepsize= 1.000000
+dualbound = 3840774.197119, lowerbound=1319302.197119, norm of subgrad 1149.079717 dualbound = 3840774.197119, lowerbound=1319302.197119, norm of subgrad 33.593035 stepsize= 1.000000
+dualbound = 3840869.648617, lowerbound=1321544.648617, norm of subgrad 1150.075062 dualbound = 3840869.648617, lowerbound=1321544.648617, norm of subgrad 34.977872 stepsize= 1.000000
+dualbound = 3840871.521647, lowerbound=1323419.521647, norm of subgrad 1150.894661 dualbound = 3840871.521647, lowerbound=1323419.521647, norm of subgrad 33.776812 stepsize= 1.000000
+dualbound = 3840939.486645, lowerbound=1320188.486645, norm of subgrad 1149.480094 dualbound = 3840939.486645, lowerbound=1320188.486645, norm of subgrad 34.408792 stepsize= 1.000000
+dualbound = 3840987.978746, lowerbound=1323594.978746, norm of subgrad 1150.962631 dualbound = 3840987.978746, lowerbound=1323594.978746, norm of subgrad 34.183214 stepsize= 1.000000
+dualbound = 3841031.931608, lowerbound=1319873.931608, norm of subgrad 1149.344131 dualbound = 3841031.931608, lowerbound=1319873.931608, norm of subgrad 34.087430 stepsize= 1.000000
+dualbound = 3841105.919449, lowerbound=1321638.919449, norm of subgrad 1150.096917 dualbound = 3841105.919449, lowerbound=1321638.919449, norm of subgrad 34.029220 stepsize= 1.000000
+dualbound = 3841149.280992, lowerbound=1318659.280992, norm of subgrad 1148.809506 dualbound = 3841149.280992, lowerbound=1318659.280992, norm of subgrad 33.872726 stepsize= 1.000000
+dualbound = 3841201.010243, lowerbound=1320681.010243, norm of subgrad 1149.701270 dualbound = 3841201.010243, lowerbound=1320681.010243, norm of subgrad 34.405367 stepsize= 1.000000
+dualbound = 3841245.857676, lowerbound=1316233.857676, norm of subgrad 1147.757752 dualbound = 3841245.857676, lowerbound=1316233.857676, norm of subgrad 34.041848 stepsize= 1.000000
+dualbound = 3841306.976260, lowerbound=1321025.976260, norm of subgrad 1149.849110 dualbound = 3841306.976260, lowerbound=1321025.976260, norm of subgrad 34.469096 stepsize= 1.000000
+dualbound = 3841342.118577, lowerbound=1316778.118577, norm of subgrad 1148.027490 dualbound = 3841342.118577, lowerbound=1316778.118577, norm of subgrad 34.987745 stepsize= 1.000000
+dualbound = 3841380.399833, lowerbound=1320483.399833, norm of subgrad 1149.614457 dualbound = 3841380.399833, lowerbound=1320483.399833, norm of subgrad 34.180130 stepsize= 1.000000
+dualbound = 3841469.469633, lowerbound=1315741.469633, norm of subgrad 1147.537132 dualbound = 3841469.469633, lowerbound=1315741.469633, norm of subgrad 34.482891 stepsize= 1.000000
+dualbound = 3841518.696871, lowerbound=1320920.696871, norm of subgrad 1149.830725 dualbound = 3841518.696871, lowerbound=1320920.696871, norm of subgrad 35.202660 stepsize= 1.000000
+dualbound = 3841548.745833, lowerbound=1314494.745833, norm of subgrad 1147.012531 dualbound = 3841548.745833, lowerbound=1314494.745833, norm of subgrad 34.249802 stepsize= 1.000000
+dualbound = 3841629.827581, lowerbound=1318469.827581, norm of subgrad 1148.756209 dualbound = 3841629.827581, lowerbound=1318469.827581, norm of subgrad 35.384767 stepsize= 1.000000
+dualbound = 3841658.415401, lowerbound=1321934.415401, norm of subgrad 1150.263194 dualbound = 3841658.415401, lowerbound=1321934.415401, norm of subgrad 34.635066 stepsize= 1.000000
+dualbound = 3841721.139600, lowerbound=1317055.139600, norm of subgrad 1148.128102 dualbound = 3841721.139600, lowerbound=1317055.139600, norm of subgrad 34.723540 stepsize= 1.000000
+dualbound = 3841787.326476, lowerbound=1322152.326476, norm of subgrad 1150.327052 dualbound = 3841787.326476, lowerbound=1322152.326476, norm of subgrad 34.149478 stepsize= 1.000000
+dualbound = 3841832.145823, lowerbound=1316779.145823, norm of subgrad 1147.993966 dualbound = 3841832.145823, lowerbound=1316779.145823, norm of subgrad 33.997343 stepsize= 1.000000
+dualbound = 3841893.473673, lowerbound=1318468.473673, norm of subgrad 1148.755184 dualbound = 3841893.473673, lowerbound=1318468.473673, norm of subgrad 35.090281 stepsize= 1.000000
+dualbound = 3841929.914396, lowerbound=1316816.914396, norm of subgrad 1148.048307 dualbound = 3841929.914396, lowerbound=1316816.914396, norm of subgrad 35.134609 stepsize= 1.000000
+dualbound = 3841991.826949, lowerbound=1316373.826949, norm of subgrad 1147.823082 dualbound = 3841991.826949, lowerbound=1316373.826949, norm of subgrad 34.437081 stepsize= 1.000000
+dualbound = 3842061.646418, lowerbound=1316326.646418, norm of subgrad 1147.791203 dualbound = 3842061.646418, lowerbound=1316326.646418, norm of subgrad 34.173374 stepsize= 1.000000
+dualbound = 3842103.161975, lowerbound=1315962.161975, norm of subgrad 1147.635030 dualbound = 3842103.161975, lowerbound=1315962.161975, norm of subgrad 33.845466 stepsize= 1.000000
+dualbound = 3842157.629788, lowerbound=1315725.629788, norm of subgrad 1147.543738 dualbound = 3842157.629788, lowerbound=1315725.629788, norm of subgrad 34.430623 stepsize= 1.000000
+dualbound = 3842200.486439, lowerbound=1319959.486439, norm of subgrad 1149.370474 dualbound = 3842200.486439, lowerbound=1319959.486439, norm of subgrad 33.702472 stepsize= 1.000000
+dualbound = 3842284.704159, lowerbound=1315109.704159, norm of subgrad 1147.245268 dualbound = 3842284.704159, lowerbound=1315109.704159, norm of subgrad 33.855837 stepsize= 1.000000
+dualbound = 3842314.093054, lowerbound=1321794.093054, norm of subgrad 1150.173071 dualbound = 3842314.093054, lowerbound=1321794.093054, norm of subgrad 33.665842 stepsize= 1.000000
+dualbound = 3842368.439616, lowerbound=1316436.439616, norm of subgrad 1147.851227 dualbound = 3842368.439616, lowerbound=1316436.439616, norm of subgrad 34.356172 stepsize= 1.000000
+dualbound = 3842405.921799, lowerbound=1321617.921799, norm of subgrad 1150.110830 dualbound = 3842405.921799, lowerbound=1321617.921799, norm of subgrad 34.270719 stepsize= 1.000000
+dualbound = 3842472.148476, lowerbound=1318489.148476, norm of subgrad 1148.746338 dualbound = 3842472.148476, lowerbound=1318489.148476, norm of subgrad 34.572051 stepsize= 1.000000
+dualbound = 3842529.406684, lowerbound=1319313.406684, norm of subgrad 1149.095908 dualbound = 3842529.406684, lowerbound=1319313.406684, norm of subgrad 34.135879 stepsize= 1.000000
+dualbound = 3842584.634937, lowerbound=1320928.634937, norm of subgrad 1149.799389 dualbound = 3842584.634937, lowerbound=1320928.634937, norm of subgrad 34.135440 stepsize= 1.000000
+dualbound = 3842615.539844, lowerbound=1320558.539844, norm of subgrad 1149.662359 dualbound = 3842615.539844, lowerbound=1320558.539844, norm of subgrad 34.581858 stepsize= 1.000000
+dualbound = 3842661.616928, lowerbound=1316406.616928, norm of subgrad 1147.873955 dualbound = 3842661.616928, lowerbound=1316406.616928, norm of subgrad 35.412951 stepsize= 1.000000
+dualbound = 3842712.263063, lowerbound=1323749.263063, norm of subgrad 1151.013146 dualbound = 3842712.263063, lowerbound=1323749.263063, norm of subgrad 33.654808 stepsize= 1.000000
+dualbound = 3842814.374902, lowerbound=1314460.374902, norm of subgrad 1146.986214 dualbound = 3842814.374902, lowerbound=1314460.374902, norm of subgrad 34.915782 stepsize= 1.000000
+dualbound = 3842821.979801, lowerbound=1324703.979801, norm of subgrad 1151.443867 dualbound = 3842821.979801, lowerbound=1324703.979801, norm of subgrad 33.564936 stepsize= 1.000000
+dualbound = 3842918.485312, lowerbound=1317933.485312, norm of subgrad 1148.507939 dualbound = 3842918.485312, lowerbound=1317933.485312, norm of subgrad 35.121297 stepsize= 1.000000
+dualbound = 3842895.623657, lowerbound=1320136.623657, norm of subgrad 1149.469714 dualbound = 3842895.623657, lowerbound=1320136.623657, norm of subgrad 33.483404 stepsize= 1.000000
+dualbound = 3843000.138769, lowerbound=1318666.138769, norm of subgrad 1148.803351 dualbound = 3843000.138769, lowerbound=1318666.138769, norm of subgrad 34.460341 stepsize= 1.000000
+dualbound = 3843062.963758, lowerbound=1317550.963758, norm of subgrad 1148.323980 dualbound = 3843062.963758, lowerbound=1317550.963758, norm of subgrad 34.056203 stepsize= 1.000000
+dualbound = 3843071.337647, lowerbound=1316143.337647, norm of subgrad 1147.752734 dualbound = 3843071.337647, lowerbound=1316143.337647, norm of subgrad 34.660841 stepsize= 1.000000
+dualbound = 3843126.817409, lowerbound=1317181.817409, norm of subgrad 1148.173688 dualbound = 3843126.817409, lowerbound=1317181.817409, norm of subgrad 34.299851 stepsize= 1.000000
+dualbound = 3843217.473212, lowerbound=1318822.473212, norm of subgrad 1148.876614 dualbound = 3843217.473212, lowerbound=1318822.473212, norm of subgrad 34.433353 stepsize= 1.000000
+dualbound = 3843234.368248, lowerbound=1321311.368248, norm of subgrad 1149.951029 dualbound = 3843234.368248, lowerbound=1321311.368248, norm of subgrad 33.058963 stepsize= 1.000000
+dualbound = 3843349.360317, lowerbound=1316160.360317, norm of subgrad 1147.686961 dualbound = 3843349.360317, lowerbound=1316160.360317, norm of subgrad 33.763769 stepsize= 1.000000
+dualbound = 3843370.892921, lowerbound=1319161.892921, norm of subgrad 1149.033895 dualbound = 3843370.892921, lowerbound=1319161.892921, norm of subgrad 33.742149 stepsize= 1.000000
+dualbound = 3843417.402300, lowerbound=1319245.402300, norm of subgrad 1149.064142 dualbound = 3843417.402300, lowerbound=1319245.402300, norm of subgrad 33.904415 stepsize= 1.000000
+dualbound = 3843464.243712, lowerbound=1316782.243712, norm of subgrad 1147.995315 dualbound = 3843464.243712, lowerbound=1316782.243712, norm of subgrad 34.027069 stepsize= 1.000000
+dualbound = 3843517.785235, lowerbound=1317607.785235, norm of subgrad 1148.359171 dualbound = 3843517.785235, lowerbound=1317607.785235, norm of subgrad 34.271585 stepsize= 1.000000
+dualbound = 3843566.977223, lowerbound=1322153.977223, norm of subgrad 1150.337767 dualbound = 3843566.977223, lowerbound=1322153.977223, norm of subgrad 34.237289 stepsize= 1.000000
+dualbound = 3843624.946339, lowerbound=1315813.946339, norm of subgrad 1147.579603 dualbound = 3843624.946339, lowerbound=1315813.946339, norm of subgrad 34.394318 stepsize= 1.000000
+dualbound = 3843668.222032, lowerbound=1319967.222032, norm of subgrad 1149.373839 dualbound = 3843668.222032, lowerbound=1319967.222032, norm of subgrad 33.708689 stepsize= 1.000000
+dualbound = 3843742.502381, lowerbound=1321648.502381, norm of subgrad 1150.133689 dualbound = 3843742.502381, lowerbound=1321648.502381, norm of subgrad 35.118091 stepsize= 1.000000
+dualbound = 3843759.740654, lowerbound=1318846.740654, norm of subgrad 1148.903277 dualbound = 3843759.740654, lowerbound=1318846.740654, norm of subgrad 33.900417 stepsize= 1.000000
+dualbound = 3843843.487487, lowerbound=1319361.487487, norm of subgrad 1149.125967 dualbound = 3843843.487487, lowerbound=1319361.487487, norm of subgrad 34.824515 stepsize= 1.000000
+dualbound = 3843884.239563, lowerbound=1322869.239563, norm of subgrad 1150.671647 dualbound = 3843884.239563, lowerbound=1322869.239563, norm of subgrad 34.881974 stepsize= 1.000000
+dualbound = 3843921.419216, lowerbound=1320034.419216, norm of subgrad 1149.427431 dualbound = 3843921.419216, lowerbound=1320034.419216, norm of subgrad 34.440959 stepsize= 1.000000
+dualbound = 3843991.040255, lowerbound=1315956.040255, norm of subgrad 1147.670266 dualbound = 3843991.040255, lowerbound=1315956.040255, norm of subgrad 35.505226 stepsize= 1.000000
+dualbound = 3844050.594083, lowerbound=1315064.594083, norm of subgrad 1147.267882 dualbound = 3844050.594083, lowerbound=1315064.594083, norm of subgrad 34.907790 stepsize= 1.000000
+dualbound = 3844082.817330, lowerbound=1315050.817330, norm of subgrad 1147.276260 dualbound = 3844082.817330, lowerbound=1315050.817330, norm of subgrad 34.988902 stepsize= 1.000000
+dualbound = 3844132.620859, lowerbound=1320687.620859, norm of subgrad 1149.702405 dualbound = 3844132.620859, lowerbound=1320687.620859, norm of subgrad 34.319142 stepsize= 1.000000
+dualbound = 3844213.760561, lowerbound=1318308.760561, norm of subgrad 1148.647361 dualbound = 3844213.760561, lowerbound=1318308.760561, norm of subgrad 34.104834 stepsize= 1.000000
+dualbound = 3844272.470244, lowerbound=1315400.470244, norm of subgrad 1147.384186 dualbound = 3844272.470244, lowerbound=1315400.470244, norm of subgrad 33.892620 stepsize= 1.000000
+dualbound = 3844316.938907, lowerbound=1317042.938907, norm of subgrad 1148.101014 dualbound = 3844316.938907, lowerbound=1317042.938907, norm of subgrad 33.726379 stepsize= 1.000000
+dualbound = 3844375.272312, lowerbound=1318760.272312, norm of subgrad 1148.872609 dualbound = 3844375.272312, lowerbound=1318760.272312, norm of subgrad 34.732311 stepsize= 1.000000
+dualbound = 3844394.371716, lowerbound=1316292.371716, norm of subgrad 1147.776273 dualbound = 3844394.371716, lowerbound=1316292.371716, norm of subgrad 33.423037 stepsize= 1.000000
+dualbound = 3844504.272211, lowerbound=1314299.272211, norm of subgrad 1146.894185 dualbound = 3844504.272211, lowerbound=1314299.272211, norm of subgrad 34.305983 stepsize= 1.000000
+dualbound = 3844508.073139, lowerbound=1322980.073139, norm of subgrad 1150.698950 dualbound = 3844508.073139, lowerbound=1322980.073139, norm of subgrad 33.642249 stepsize= 1.000000
+dualbound = 3844591.729592, lowerbound=1315463.729592, norm of subgrad 1147.418725 dualbound = 3844591.729592, lowerbound=1315463.729592, norm of subgrad 34.491397 stepsize= 1.000000
+dualbound = 3844622.043969, lowerbound=1325639.043969, norm of subgrad 1151.852440 dualbound = 3844622.043969, lowerbound=1325639.043969, norm of subgrad 33.989916 stepsize= 1.000000
+dualbound = 3844703.173859, lowerbound=1314104.173859, norm of subgrad 1146.822207 dualbound = 3844703.173859, lowerbound=1314104.173859, norm of subgrad 34.323897 stepsize= 1.000000
+dualbound = 3844747.603555, lowerbound=1320546.603555, norm of subgrad 1149.632812 dualbound = 3844747.603555, lowerbound=1320546.603555, norm of subgrad 33.962180 stepsize= 1.000000
+dualbound = 3844804.838485, lowerbound=1322014.838485, norm of subgrad 1150.269029 dualbound = 3844804.838485, lowerbound=1322014.838485, norm of subgrad 34.076897 stepsize= 1.000000
+dualbound = 3844848.554872, lowerbound=1317976.554872, norm of subgrad 1148.530607 dualbound = 3844848.554872, lowerbound=1317976.554872, norm of subgrad 34.492266 stepsize= 1.000000
+dualbound = 3844922.153702, lowerbound=1321819.153702, norm of subgrad 1150.170924 dualbound = 3844922.153702, lowerbound=1321819.153702, norm of subgrad 33.876228 stepsize= 1.000000
+dualbound = 3844976.235264, lowerbound=1317704.235264, norm of subgrad 1148.371993 dualbound = 3844976.235264, lowerbound=1317704.235264, norm of subgrad 33.287859 stepsize= 1.000000
+dualbound = 3845030.243775, lowerbound=1317243.243775, norm of subgrad 1148.159503 dualbound = 3845030.243775, lowerbound=1317243.243775, norm of subgrad 32.878694 stepsize= 1.000000
+dualbound = 3845085.764054, lowerbound=1317648.764054, norm of subgrad 1148.368740 dualbound = 3845085.764054, lowerbound=1317648.764054, norm of subgrad 34.022350 stepsize= 1.000000
+dualbound = 3845127.932284, lowerbound=1316992.932284, norm of subgrad 1148.069219 dualbound = 3845127.932284, lowerbound=1316992.932284, norm of subgrad 33.349186 stepsize= 1.000000
+dualbound = 3845182.281765, lowerbound=1317846.281765, norm of subgrad 1148.453866 dualbound = 3845182.281765, lowerbound=1317846.281765, norm of subgrad 33.975719 stepsize= 1.000000
+dualbound = 3845208.584076, lowerbound=1314041.584076, norm of subgrad 1146.809306 dualbound = 3845208.584076, lowerbound=1314041.584076, norm of subgrad 34.004445 stepsize= 1.000000
+dualbound = 3845276.046836, lowerbound=1320016.046836, norm of subgrad 1149.424659 dualbound = 3845276.046836, lowerbound=1320016.046836, norm of subgrad 35.049433 stepsize= 1.000000
+dualbound = 3845335.809218, lowerbound=1316461.809218, norm of subgrad 1147.849210 dualbound = 3845335.809218, lowerbound=1316461.809218, norm of subgrad 33.996505 stepsize= 1.000000
+dualbound = 3845395.463101, lowerbound=1322757.463101, norm of subgrad 1150.603087 dualbound = 3845395.463101, lowerbound=1322757.463101, norm of subgrad 34.491360 stepsize= 1.000000
+dualbound = 3845438.961495, lowerbound=1313933.961495, norm of subgrad 1146.787235 dualbound = 3845438.961495, lowerbound=1313933.961495, norm of subgrad 35.078461 stepsize= 1.000000
+dualbound = 3845479.914568, lowerbound=1320047.914568, norm of subgrad 1149.424167 dualbound = 3845479.914568, lowerbound=1320047.914568, norm of subgrad 34.189956 stepsize= 1.000000
+dualbound = 3845534.783799, lowerbound=1319723.783799, norm of subgrad 1149.309264 dualbound = 3845534.783799, lowerbound=1319723.783799, norm of subgrad 35.254351 stepsize= 1.000000
+dualbound = 3845574.885353, lowerbound=1322058.885353, norm of subgrad 1150.317298 dualbound = 3845574.885353, lowerbound=1322058.885353, norm of subgrad 34.800884 stepsize= 1.000000
+dualbound = 3845655.005359, lowerbound=1322463.005359, norm of subgrad 1150.467733 dualbound = 3845655.005359, lowerbound=1322463.005359, norm of subgrad 34.541569 stepsize= 1.000000
+dualbound = 3845678.070613, lowerbound=1321388.070613, norm of subgrad 1150.020465 dualbound = 3845678.070613, lowerbound=1321388.070613, norm of subgrad 34.381176 stepsize= 1.000000
+dualbound = 3845739.131237, lowerbound=1318703.131237, norm of subgrad 1148.842083 dualbound = 3845739.131237, lowerbound=1318703.131237, norm of subgrad 34.584109 stepsize= 1.000000
+dualbound = 3845790.392722, lowerbound=1317411.392722, norm of subgrad 1148.294123 dualbound = 3845790.392722, lowerbound=1317411.392722, norm of subgrad 34.917925 stepsize= 1.000000
+dualbound = 3845828.313619, lowerbound=1324762.313619, norm of subgrad 1151.507843 dualbound = 3845828.313619, lowerbound=1324762.313619, norm of subgrad 35.297605 stepsize= 1.000000
+dualbound = 3845895.246390, lowerbound=1315473.246390, norm of subgrad 1147.434637 dualbound = 3845895.246390, lowerbound=1315473.246390, norm of subgrad 34.640046 stepsize= 1.000000
+dualbound = 3845944.213349, lowerbound=1320651.213349, norm of subgrad 1149.709621 dualbound = 3845944.213349, lowerbound=1320651.213349, norm of subgrad 35.070885 stepsize= 1.000000
+dualbound = 3845990.748663, lowerbound=1314506.748663, norm of subgrad 1147.020378 dualbound = 3845990.748663, lowerbound=1314506.748663, norm of subgrad 34.576514 stepsize= 1.000000
+dualbound = 3846035.459488, lowerbound=1320585.459488, norm of subgrad 1149.677981 dualbound = 3846035.459488, lowerbound=1320585.459488, norm of subgrad 34.910039 stepsize= 1.000000
+dualbound = 3846090.574241, lowerbound=1319564.574241, norm of subgrad 1149.218245 dualbound = 3846090.574241, lowerbound=1319564.574241, norm of subgrad 34.541493 stepsize= 1.000000
+dualbound = 3846154.078236, lowerbound=1318231.078236, norm of subgrad 1148.685805 dualbound = 3846154.078236, lowerbound=1318231.078236, norm of subgrad 36.214693 stepsize= 1.000000
+dualbound = 3846177.543367, lowerbound=1318868.543367, norm of subgrad 1148.928433 dualbound = 3846177.543367, lowerbound=1318868.543367, norm of subgrad 34.517606 stepsize= 1.000000
+dualbound = 3846267.094943, lowerbound=1315874.094943, norm of subgrad 1147.607117 dualbound = 3846267.094943, lowerbound=1315874.094943, norm of subgrad 34.893432 stepsize= 1.000000
+dualbound = 3846309.710482, lowerbound=1317016.710482, norm of subgrad 1148.126174 dualbound = 3846309.710482, lowerbound=1317016.710482, norm of subgrad 34.922994 stepsize= 1.000000
+dualbound = 3846362.479659, lowerbound=1320992.479659, norm of subgrad 1149.837588 dualbound = 3846362.479659, lowerbound=1320992.479659, norm of subgrad 34.449516 stepsize= 1.000000
+dualbound = 3846439.564687, lowerbound=1316962.564687, norm of subgrad 1148.067317 dualbound = 3846439.564687, lowerbound=1316962.564687, norm of subgrad 34.250329 stepsize= 1.000000
+dualbound = 3846473.567306, lowerbound=1317666.567306, norm of subgrad 1148.400874 dualbound = 3846473.567306, lowerbound=1317666.567306, norm of subgrad 34.525391 stepsize= 1.000000
+dualbound = 3846539.635908, lowerbound=1319462.635908, norm of subgrad 1149.165626 dualbound = 3846539.635908, lowerbound=1319462.635908, norm of subgrad 34.424825 stepsize= 1.000000
+dualbound = 3846602.017294, lowerbound=1321996.017294, norm of subgrad 1150.268237 dualbound = 3846602.017294, lowerbound=1321996.017294, norm of subgrad 34.400311 stepsize= 1.000000
+dualbound = 3846640.987862, lowerbound=1315996.987862, norm of subgrad 1147.681571 dualbound = 3846640.987862, lowerbound=1315996.987862, norm of subgrad 34.856428 stepsize= 1.000000
+dualbound = 3846678.047407, lowerbound=1316956.047407, norm of subgrad 1148.074060 dualbound = 3846678.047407, lowerbound=1316956.047407, norm of subgrad 33.986167 stepsize= 1.000000
+dualbound = 3846765.966590, lowerbound=1320173.966590, norm of subgrad 1149.471168 dualbound = 3846765.966590, lowerbound=1320173.966590, norm of subgrad 34.610969 stepsize= 1.000000
+dualbound = 3846795.549895, lowerbound=1314334.549895, norm of subgrad 1146.909129 dualbound = 3846795.549895, lowerbound=1314334.549895, norm of subgrad 33.099597 stepsize= 1.000000
+dualbound = 3846884.874383, lowerbound=1320003.874384, norm of subgrad 1149.372383 dualbound = 3846884.874383, lowerbound=1320003.874384, norm of subgrad 33.798291 stepsize= 1.000000
+dualbound = 3846918.259537, lowerbound=1316481.259537, norm of subgrad 1147.836774 dualbound = 3846918.259537, lowerbound=1316481.259537, norm of subgrad 32.884421 stepsize= 1.000000
+dualbound = 3846969.906292, lowerbound=1318020.906292, norm of subgrad 1148.505945 dualbound = 3846969.906292, lowerbound=1318020.906292, norm of subgrad 33.115657 stepsize= 1.000000
+dualbound = 3847012.728910, lowerbound=1315759.728910, norm of subgrad 1147.574280 dualbound = 3847012.728910, lowerbound=1315759.728910, norm of subgrad 34.782504 stepsize= 1.000000
+dualbound = 3847057.647815, lowerbound=1324218.647815, norm of subgrad 1151.239614 dualbound = 3847057.647815, lowerbound=1324218.647815, norm of subgrad 34.335389 stepsize= 1.000000
+dualbound = 3847083.383466, lowerbound=1320909.383466, norm of subgrad 1149.794496 dualbound = 3847083.383466, lowerbound=1320909.383466, norm of subgrad 33.819161 stepsize= 1.000000
+dualbound = 3847161.527624, lowerbound=1324215.527624, norm of subgrad 1151.238258 dualbound = 3847161.527624, lowerbound=1324215.527624, norm of subgrad 34.815861 stepsize= 1.000000
+dualbound = 3847212.248058, lowerbound=1317996.248058, norm of subgrad 1148.534391 dualbound = 3847212.248058, lowerbound=1317996.248058, norm of subgrad 34.434292 stepsize= 1.000000
+dualbound = 3847276.237043, lowerbound=1318542.237043, norm of subgrad 1148.783373 dualbound = 3847276.237043, lowerbound=1318542.237043, norm of subgrad 34.999843 stepsize= 1.000000
+dualbound = 3847315.143267, lowerbound=1320917.143267, norm of subgrad 1149.830919 dualbound = 3847315.143267, lowerbound=1320917.143267, norm of subgrad 35.112764 stepsize= 1.000000
+dualbound = 3847342.239975, lowerbound=1316619.239975, norm of subgrad 1147.940870 dualbound = 3847342.239975, lowerbound=1316619.239975, norm of subgrad 34.294266 stepsize= 1.000000
+dualbound = 3847417.246762, lowerbound=1318011.246762, norm of subgrad 1148.539615 dualbound = 3847417.246762, lowerbound=1318011.246762, norm of subgrad 34.742003 stepsize= 1.000000
+dualbound = 3847482.932673, lowerbound=1322168.932673, norm of subgrad 1150.354699 dualbound = 3847482.932673, lowerbound=1322168.932673, norm of subgrad 34.823640 stepsize= 1.000000
+dualbound = 3847512.993334, lowerbound=1316182.993334, norm of subgrad 1147.756069 dualbound = 3847512.993334, lowerbound=1316182.993334, norm of subgrad 34.511747 stepsize= 1.000000
+dualbound = 3847590.223354, lowerbound=1318817.223354, norm of subgrad 1148.890431 dualbound = 3847590.223354, lowerbound=1318817.223354, norm of subgrad 34.773985 stepsize= 1.000000
+dualbound = 3847633.261585, lowerbound=1315203.261585, norm of subgrad 1147.321342 dualbound = 3847633.261585, lowerbound=1315203.261585, norm of subgrad 34.438906 stepsize= 1.000000
+dualbound = 3847700.456155, lowerbound=1323861.456155, norm of subgrad 1151.050588 dualbound = 3847700.456155, lowerbound=1323861.456155, norm of subgrad 33.514095 stepsize= 1.000000
+dualbound = 3847781.582079, lowerbound=1314700.582079, norm of subgrad 1147.055178 dualbound = 3847781.582079, lowerbound=1314700.582079, norm of subgrad 33.408471 stepsize= 1.000000
+dualbound = 3847800.127969, lowerbound=1325263.127969, norm of subgrad 1151.672752 dualbound = 3847800.127969, lowerbound=1325263.127969, norm of subgrad 33.249750 stepsize= 1.000000
+dualbound = 3847872.464862, lowerbound=1313552.464862, norm of subgrad 1146.577283 dualbound = 3847872.464862, lowerbound=1313552.464862, norm of subgrad 34.049037 stepsize= 1.000000
+dualbound = 3847897.990537, lowerbound=1320840.990537, norm of subgrad 1149.753448 dualbound = 3847897.990537, lowerbound=1320840.990537, norm of subgrad 33.429413 stepsize= 1.000000
+dualbound = 3847960.843324, lowerbound=1319853.843324, norm of subgrad 1149.339742 dualbound = 3847960.843324, lowerbound=1319853.843324, norm of subgrad 34.508735 stepsize= 1.000000
+dualbound = 3848026.518546, lowerbound=1322849.518546, norm of subgrad 1150.622666 dualbound = 3848026.518546, lowerbound=1322849.518546, norm of subgrad 33.892111 stepsize= 1.000000
+dualbound = 3848059.421671, lowerbound=1316088.421671, norm of subgrad 1147.694830 dualbound = 3848059.421671, lowerbound=1316088.421671, norm of subgrad 33.880719 stepsize= 1.000000
+dualbound = 3848146.087784, lowerbound=1321546.087784, norm of subgrad 1150.063515 dualbound = 3848146.087784, lowerbound=1321546.087784, norm of subgrad 34.448020 stepsize= 1.000000
+dualbound = 3848161.855459, lowerbound=1317740.855459, norm of subgrad 1148.423639 dualbound = 3848161.855459, lowerbound=1317740.855459, norm of subgrad 33.937703 stepsize= 1.000000
+dualbound = 3848219.457458, lowerbound=1317053.457458, norm of subgrad 1148.128676 dualbound = 3848219.457458, lowerbound=1317053.457458, norm of subgrad 34.692968 stepsize= 1.000000
+dualbound = 3848270.454968, lowerbound=1321512.454968, norm of subgrad 1150.054110 dualbound = 3848270.454968, lowerbound=1321512.454968, norm of subgrad 34.102749 stepsize= 1.000000
+dualbound = 3848338.236514, lowerbound=1321481.236514, norm of subgrad 1150.043580 dualbound = 3848338.236514, lowerbound=1321481.236514, norm of subgrad 34.449696 stepsize= 1.000000
+dualbound = 3848385.840412, lowerbound=1318725.840412, norm of subgrad 1148.848485 dualbound = 3848385.840412, lowerbound=1318725.840412, norm of subgrad 34.272495 stepsize= 1.000000
+dualbound = 3848429.163220, lowerbound=1320361.163220, norm of subgrad 1149.573905 dualbound = 3848429.163220, lowerbound=1320361.163220, norm of subgrad 34.674527 stepsize= 1.000000
+dualbound = 3848477.447119, lowerbound=1318956.447119, norm of subgrad 1148.949280 dualbound = 3848477.447119, lowerbound=1318956.447119, norm of subgrad 34.296995 stepsize= 1.000000
+dualbound = 3848545.513825, lowerbound=1318887.513825, norm of subgrad 1148.927985 dualbound = 3848545.513825, lowerbound=1318887.513825, norm of subgrad 34.872148 stepsize= 1.000000
+dualbound = 3848585.347985, lowerbound=1318710.347985, norm of subgrad 1148.839131 dualbound = 3848585.347985, lowerbound=1318710.347985, norm of subgrad 34.071016 stepsize= 1.000000
+dualbound = 3848653.697189, lowerbound=1319494.697189, norm of subgrad 1149.203506 dualbound = 3848653.697189, lowerbound=1319494.697189, norm of subgrad 35.246974 stepsize= 1.000000
+dualbound = 3848686.118417, lowerbound=1317747.118417, norm of subgrad 1148.448135 dualbound = 3848686.118417, lowerbound=1317747.118417, norm of subgrad 34.905891 stepsize= 1.000000
+dualbound = 3848738.610168, lowerbound=1323006.610168, norm of subgrad 1150.716129 dualbound = 3848738.610168, lowerbound=1323006.610168, norm of subgrad 34.546950 stepsize= 1.000000
+dualbound = 3848810.127300, lowerbound=1318120.127300, norm of subgrad 1148.598332 dualbound = 3848810.127300, lowerbound=1318120.127300, norm of subgrad 35.064471 stepsize= 1.000000
+dualbound = 3848856.948621, lowerbound=1319528.948621, norm of subgrad 1149.211011 dualbound = 3848856.948621, lowerbound=1319528.948621, norm of subgrad 34.696128 stepsize= 1.000000
+dualbound = 3848902.068436, lowerbound=1318928.068436, norm of subgrad 1148.927356 dualbound = 3848902.068436, lowerbound=1318928.068436, norm of subgrad 33.928157 stepsize= 1.000000
+dualbound = 3848986.576776, lowerbound=1316096.576776, norm of subgrad 1147.675292 dualbound = 3848986.576776, lowerbound=1316096.576776, norm of subgrad 33.860129 stepsize= 1.000000
+dualbound = 3849032.395679, lowerbound=1321098.395679, norm of subgrad 1149.884079 dualbound = 3849032.395679, lowerbound=1321098.395679, norm of subgrad 34.363046 stepsize= 1.000000
+dualbound = 3849073.710369, lowerbound=1320683.710369, norm of subgrad 1149.678525 dualbound = 3849073.710369, lowerbound=1320683.710369, norm of subgrad 33.441212 stepsize= 1.000000
+dualbound = 3849137.764263, lowerbound=1314915.764263, norm of subgrad 1147.144178 dualbound = 3849137.764263, lowerbound=1314915.764263, norm of subgrad 32.985662 stepsize= 1.000000
+dualbound = 3849205.507283, lowerbound=1314296.507283, norm of subgrad 1146.883825 dualbound = 3849205.507283, lowerbound=1314296.507283, norm of subgrad 33.372789 stepsize= 1.000000
+dualbound = 3849238.785118, lowerbound=1320545.785118, norm of subgrad 1149.640285 dualbound = 3849238.785118, lowerbound=1320545.785118, norm of subgrad 34.062851 stepsize= 1.000000
+dualbound = 3849282.277591, lowerbound=1319704.277591, norm of subgrad 1149.251616 dualbound = 3849282.277591, lowerbound=1319704.277591, norm of subgrad 33.443870 stepsize= 1.000000
+dualbound = 3849337.476627, lowerbound=1319206.476627, norm of subgrad 1149.045898 dualbound = 3849337.476627, lowerbound=1319206.476627, norm of subgrad 33.988219 stepsize= 1.000000
+dualbound = 3849383.405184, lowerbound=1317368.405184, norm of subgrad 1148.284549 dualbound = 3849383.405184, lowerbound=1317368.405184, norm of subgrad 35.141550 stepsize= 1.000000
+dualbound = 3849416.394323, lowerbound=1319506.394323, norm of subgrad 1149.196848 dualbound = 3849416.394323, lowerbound=1319506.394323, norm of subgrad 34.350970 stepsize= 1.000000
+dualbound = 3849490.024204, lowerbound=1327630.024204, norm of subgrad 1152.700318 dualbound = 3849490.024204, lowerbound=1327630.024204, norm of subgrad 34.082692 stepsize= 1.000000
+dualbound = 3849537.055855, lowerbound=1315606.055855, norm of subgrad 1147.508630 dualbound = 3849537.055855, lowerbound=1315606.055855, norm of subgrad 34.885981 stepsize= 1.000000
+dualbound = 3849585.383294, lowerbound=1316119.383294, norm of subgrad 1147.712675 dualbound = 3849585.383294, lowerbound=1316119.383294, norm of subgrad 34.253868 stepsize= 1.000000
+dualbound = 3849659.687468, lowerbound=1321070.687468, norm of subgrad 1149.887685 dualbound = 3849659.687468, lowerbound=1321070.687468, norm of subgrad 35.288868 stepsize= 1.000000
+dualbound = 3849695.481935, lowerbound=1318755.481935, norm of subgrad 1148.840930 dualbound = 3849695.481935, lowerbound=1318755.481935, norm of subgrad 33.403510 stepsize= 1.000000
+dualbound = 3849773.963789, lowerbound=1317783.963789, norm of subgrad 1148.421074 dualbound = 3849773.963789, lowerbound=1317783.963789, norm of subgrad 34.139154 stepsize= 1.000000
+dualbound = 3849804.954810, lowerbound=1320328.954810, norm of subgrad 1149.552502 dualbound = 3849804.954810, lowerbound=1320328.954810, norm of subgrad 34.248956 stepsize= 1.000000
+dualbound = 3849869.275811, lowerbound=1322014.275811, norm of subgrad 1150.269654 dualbound = 3849869.275811, lowerbound=1322014.275811, norm of subgrad 34.209955 stepsize= 1.000000
+dualbound = 3849933.027720, lowerbound=1315504.027720, norm of subgrad 1147.425391 dualbound = 3849933.027720, lowerbound=1315504.027720, norm of subgrad 33.834183 stepsize= 1.000000
+dualbound = 3849974.886109, lowerbound=1319331.886109, norm of subgrad 1149.110041 dualbound = 3849974.886109, lowerbound=1319331.886109, norm of subgrad 34.115369 stepsize= 1.000000
+dualbound = 3850006.753387, lowerbound=1318048.753387, norm of subgrad 1148.568567 dualbound = 3850006.753387, lowerbound=1318048.753387, norm of subgrad 34.537911 stepsize= 1.000000
+dualbound = 3850056.248888, lowerbound=1319361.248888, norm of subgrad 1149.135000 dualbound = 3850056.248888, lowerbound=1319361.248888, norm of subgrad 34.633734 stepsize= 1.000000
+dualbound = 3850098.781729, lowerbound=1313800.781729, norm of subgrad 1146.695592 dualbound = 3850098.781729, lowerbound=1313800.781729, norm of subgrad 33.948974 stepsize= 1.000000
+dualbound = 3850169.120462, lowerbound=1322922.120462, norm of subgrad 1150.681590 dualbound = 3850169.120462, lowerbound=1322922.120462, norm of subgrad 34.876048 stepsize= 1.000000
+dualbound = 3850217.883721, lowerbound=1319355.883721, norm of subgrad 1149.147024 dualbound = 3850217.883721, lowerbound=1319355.883721, norm of subgrad 35.096485 stepsize= 1.000000
+dualbound = 3850273.305611, lowerbound=1318733.305611, norm of subgrad 1148.825185 dualbound = 3850273.305611, lowerbound=1318733.305611, norm of subgrad 33.487638 stepsize= 1.000000
+dualbound = 3850333.320473, lowerbound=1316656.320473, norm of subgrad 1147.955714 dualbound = 3850333.320473, lowerbound=1316656.320473, norm of subgrad 34.727725 stepsize= 1.000000
+dualbound = 3850378.288246, lowerbound=1314062.288246, norm of subgrad 1146.809613 dualbound = 3850378.288246, lowerbound=1314062.288246, norm of subgrad 33.984817 stepsize= 1.000000
+dualbound = 3850428.057141, lowerbound=1323060.057141, norm of subgrad 1150.733704 dualbound = 3850428.057141, lowerbound=1323060.057141, norm of subgrad 34.318638 stepsize= 1.000000
+dualbound = 3850484.294821, lowerbound=1322127.294821, norm of subgrad 1150.306174 dualbound = 3850484.294821, lowerbound=1322127.294821, norm of subgrad 33.663596 stepsize= 1.000000
+dualbound = 3850545.185056, lowerbound=1312032.185056, norm of subgrad 1145.905400 dualbound = 3850545.185056, lowerbound=1312032.185056, norm of subgrad 33.584077 stepsize= 1.000000
+dualbound = 3850610.745171, lowerbound=1321663.745171, norm of subgrad 1150.120318 dualbound = 3850610.745171, lowerbound=1321663.745171, norm of subgrad 34.330163 stepsize= 1.000000
+dualbound = 3850649.447764, lowerbound=1311017.447764, norm of subgrad 1145.464730 dualbound = 3850649.447764, lowerbound=1311017.447764, norm of subgrad 33.327205 stepsize= 1.000000
+dualbound = 3850705.662924, lowerbound=1322166.662924, norm of subgrad 1150.346758 dualbound = 3850705.662924, lowerbound=1322166.662924, norm of subgrad 34.455989 stepsize= 1.000000
+dualbound = 3850742.744508, lowerbound=1316967.744508, norm of subgrad 1148.083074 dualbound = 3850742.744508, lowerbound=1316967.744508, norm of subgrad 34.118640 stepsize= 1.000000
+dualbound = 3850808.323941, lowerbound=1328715.323941, norm of subgrad 1153.170119 dualbound = 3850808.323941, lowerbound=1328715.323941, norm of subgrad 33.934929 stepsize= 1.000000
+dualbound = 3850869.774778, lowerbound=1318463.774778, norm of subgrad 1148.722671 dualbound = 3850869.774778, lowerbound=1318463.774778, norm of subgrad 34.080065 stepsize= 1.000000
+dualbound = 3850888.883174, lowerbound=1321125.883174, norm of subgrad 1149.907337 dualbound = 3850888.883174, lowerbound=1321125.883174, norm of subgrad 34.352706 stepsize= 1.000000
+dualbound = 3850920.681415, lowerbound=1316891.681415, norm of subgrad 1148.082611 dualbound = 3850920.681415, lowerbound=1316891.681415, norm of subgrad 35.125464 stepsize= 1.000000
+dualbound = 3850989.490543, lowerbound=1322054.490543, norm of subgrad 1150.327123 dualbound = 3850989.490543, lowerbound=1322054.490543, norm of subgrad 35.592262 stepsize= 1.000000
+dualbound = 3851038.641065, lowerbound=1316673.641065, norm of subgrad 1147.944093 dualbound = 3851038.641065, lowerbound=1316673.641065, norm of subgrad 33.928609 stepsize= 1.000000
+dualbound = 3851122.290956, lowerbound=1322332.290956, norm of subgrad 1150.398753 dualbound = 3851122.290956, lowerbound=1322332.290956, norm of subgrad 34.185522 stepsize= 1.000000
+dualbound = 3851174.443982, lowerbound=1318704.443982, norm of subgrad 1148.825245 dualbound = 3851174.443982, lowerbound=1318704.443982, norm of subgrad 33.869648 stepsize= 1.000000
+dualbound = 3851240.868160, lowerbound=1321851.868160, norm of subgrad 1150.185145 dualbound = 3851240.868160, lowerbound=1321851.868160, norm of subgrad 33.770167 stepsize= 1.000000
+dualbound = 3851279.971339, lowerbound=1314931.971339, norm of subgrad 1147.196570 dualbound = 3851279.971339, lowerbound=1314931.971339, norm of subgrad 34.162892 stepsize= 1.000000
+dualbound = 3851330.132033, lowerbound=1317157.132033, norm of subgrad 1148.149874 dualbound = 3851330.132033, lowerbound=1317157.132033, norm of subgrad 33.781070 stepsize= 1.000000
+dualbound = 3851395.032123, lowerbound=1318105.032123, norm of subgrad 1148.542133 dualbound = 3851395.032123, lowerbound=1318105.032123, norm of subgrad 33.300151 stepsize= 1.000000
+dualbound = 3851444.316796, lowerbound=1316625.316796, norm of subgrad 1147.906493 dualbound = 3851444.316796, lowerbound=1316625.316796, norm of subgrad 33.365921 stepsize= 1.000000
+dualbound = 3851508.349617, lowerbound=1323034.349617, norm of subgrad 1150.700808 dualbound = 3851508.349617, lowerbound=1323034.349617, norm of subgrad 33.793976 stepsize= 1.000000
+dualbound = 3851537.812202, lowerbound=1317740.812202, norm of subgrad 1148.409688 dualbound = 3851537.812202, lowerbound=1317740.812202, norm of subgrad 33.666936 stepsize= 1.000000
+dualbound = 3851603.383684, lowerbound=1315544.383684, norm of subgrad 1147.442976 dualbound = 3851603.383684, lowerbound=1315544.383684, norm of subgrad 33.861061 stepsize= 1.000000
+dualbound = 3851660.658304, lowerbound=1323148.658304, norm of subgrad 1150.803049 dualbound = 3851660.658304, lowerbound=1323148.658304, norm of subgrad 35.443965 stepsize= 1.000000
+dualbound = 3851668.307866, lowerbound=1319640.307866, norm of subgrad 1149.269467 dualbound = 3851668.307866, lowerbound=1319640.307866, norm of subgrad 34.462292 stepsize= 1.000000
+dualbound = 3851755.616732, lowerbound=1321579.616732, norm of subgrad 1150.090699 dualbound = 3851755.616732, lowerbound=1321579.616732, norm of subgrad 34.875620 stepsize= 1.000000
+dualbound = 3851787.908509, lowerbound=1319299.908509, norm of subgrad 1149.091340 dualbound = 3851787.908509, lowerbound=1319299.908509, norm of subgrad 33.812598 stepsize= 1.000000
+dualbound = 3851867.071351, lowerbound=1328257.071351, norm of subgrad 1152.966206 dualbound = 3851867.071351, lowerbound=1328257.071351, norm of subgrad 33.958251 stepsize= 1.000000
+dualbound = 3851908.188752, lowerbound=1316755.188752, norm of subgrad 1147.985274 dualbound = 3851908.188752, lowerbound=1316755.188752, norm of subgrad 34.001726 stepsize= 1.000000
+dualbound = 3851962.685549, lowerbound=1317042.685549, norm of subgrad 1148.119630 dualbound = 3851962.685549, lowerbound=1317042.685549, norm of subgrad 34.503577 stepsize= 1.000000
+dualbound = 3852007.089780, lowerbound=1325898.089780, norm of subgrad 1151.931895 dualbound = 3852007.089780, lowerbound=1325898.089780, norm of subgrad 33.066663 stepsize= 1.000000
+dualbound = 3852082.873653, lowerbound=1317589.873653, norm of subgrad 1148.324812 dualbound = 3852082.873653, lowerbound=1317589.873653, norm of subgrad 33.701393 stepsize= 1.000000
+dualbound = 3852109.890411, lowerbound=1314484.890411, norm of subgrad 1147.010850 dualbound = 3852109.890411, lowerbound=1314484.890411, norm of subgrad 34.293101 stepsize= 1.000000
+dualbound = 3852165.139800, lowerbound=1318830.139800, norm of subgrad 1148.895617 dualbound = 3852165.139800, lowerbound=1318830.139800, norm of subgrad 34.441971 stepsize= 1.000000
+dualbound = 3852194.799949, lowerbound=1314592.799949, norm of subgrad 1147.078376 dualbound = 3852194.799949, lowerbound=1314592.799949, norm of subgrad 35.009429 stepsize= 1.000000
+dualbound = 3852258.779075, lowerbound=1322442.779075, norm of subgrad 1150.493711 dualbound = 3852258.779075, lowerbound=1322442.779075, norm of subgrad 35.453901 stepsize= 1.000000
+dualbound = 3852309.005207, lowerbound=1320539.005207, norm of subgrad 1149.648644 dualbound = 3852309.005207, lowerbound=1320539.005207, norm of subgrad 34.687550 stepsize= 1.000000
+dualbound = 3852365.939983, lowerbound=1319623.939983, norm of subgrad 1149.234502 dualbound = 3852365.939983, lowerbound=1319623.939983, norm of subgrad 34.248135 stepsize= 1.000000
+dualbound = 3852437.040665, lowerbound=1321141.040665, norm of subgrad 1149.896535 dualbound = 3852437.040665, lowerbound=1321141.040665, norm of subgrad 34.526811 stepsize= 1.000000
+dualbound = 3852498.580336, lowerbound=1313211.580336, norm of subgrad 1146.454352 dualbound = 3852498.580336, lowerbound=1313211.580336, norm of subgrad 34.749672 stepsize= 1.000000
+dualbound = 3852506.664372, lowerbound=1319390.664372, norm of subgrad 1149.130830 dualbound = 3852506.664372, lowerbound=1319390.664372, norm of subgrad 33.452713 stepsize= 1.000000
+dualbound = 3852585.011064, lowerbound=1318743.011064, norm of subgrad 1148.847253 dualbound = 3852585.011064, lowerbound=1318743.011064, norm of subgrad 34.428864 stepsize= 1.000000
+dualbound = 3852649.486149, lowerbound=1320201.486149, norm of subgrad 1149.492273 dualbound = 3852649.486149, lowerbound=1320201.486149, norm of subgrad 34.575643 stepsize= 1.000000
+dualbound = 3852697.721053, lowerbound=1318701.721053, norm of subgrad 1148.841904 dualbound = 3852697.721053, lowerbound=1318701.721053, norm of subgrad 34.412714 stepsize= 1.000000
+dualbound = 3852729.768392, lowerbound=1321074.768392, norm of subgrad 1149.889459 dualbound = 3852729.768392, lowerbound=1321074.768392, norm of subgrad 34.684973 stepsize= 1.000000
+dualbound = 3852787.481639, lowerbound=1321566.481639, norm of subgrad 1150.107161 dualbound = 3852787.481639, lowerbound=1321566.481639, norm of subgrad 35.181149 stepsize= 1.000000
+dualbound = 3852840.633360, lowerbound=1316270.633360, norm of subgrad 1147.777258 dualbound = 3852840.633360, lowerbound=1316270.633360, norm of subgrad 34.280486 stepsize= 1.000000
+dualbound = 3852898.056825, lowerbound=1322601.056825, norm of subgrad 1150.541202 dualbound = 3852898.056825, lowerbound=1322601.056825, norm of subgrad 34.661556 stepsize= 1.000000
+dualbound = 3852948.132007, lowerbound=1315825.132007, norm of subgrad 1147.580991 dualbound = 3852948.132007, lowerbound=1315825.132007, norm of subgrad 34.162482 stepsize= 1.000000
+dualbound = 3853010.358518, lowerbound=1321987.358518, norm of subgrad 1150.257953 dualbound = 3853010.358518, lowerbound=1321987.358518, norm of subgrad 34.179329 stepsize= 1.000000
+dualbound = 3853033.674958, lowerbound=1311507.674958, norm of subgrad 1145.734993 dualbound = 3853033.674958, lowerbound=1311507.674958, norm of subgrad 34.990233 stepsize= 1.000000
+dualbound = 3853086.844953, lowerbound=1323306.844953, norm of subgrad 1150.840495 dualbound = 3853086.844953, lowerbound=1323306.844953, norm of subgrad 34.353602 stepsize= 1.000000
+dualbound = 3853150.404146, lowerbound=1318258.404146, norm of subgrad 1148.647206 dualbound = 3853150.404146, lowerbound=1318258.404146, norm of subgrad 34.576859 stepsize= 1.000000
+dualbound = 3853199.799718, lowerbound=1320979.799718, norm of subgrad 1149.833814 dualbound = 3853199.799718, lowerbound=1320979.799718, norm of subgrad 34.458607 stepsize= 1.000000
+dualbound = 3853279.506158, lowerbound=1318152.506158, norm of subgrad 1148.593708 dualbound = 3853279.506158, lowerbound=1318152.506158, norm of subgrad 34.564526 stepsize= 1.000000
+dualbound = 3853302.421723, lowerbound=1322339.421723, norm of subgrad 1150.417499 dualbound = 3853302.421723, lowerbound=1322339.421723, norm of subgrad 33.821821 stepsize= 1.000000
+dualbound = 3853373.223690, lowerbound=1315308.223690, norm of subgrad 1147.384950 dualbound = 3853373.223690, lowerbound=1315308.223690, norm of subgrad 35.423184 stepsize= 1.000000
+dualbound = 3853406.889700, lowerbound=1315783.889700, norm of subgrad 1147.580886 dualbound = 3853406.889700, lowerbound=1315783.889700, norm of subgrad 34.520516 stepsize= 1.000000
+dualbound = 3853487.282828, lowerbound=1315922.282828, norm of subgrad 1147.624626 dualbound = 3853487.282828, lowerbound=1315922.282828, norm of subgrad 34.646690 stepsize= 1.000000
+dualbound = 3853531.443710, lowerbound=1323293.443710, norm of subgrad 1150.842927 dualbound = 3853531.443710, lowerbound=1323293.443710, norm of subgrad 34.498708 stepsize= 1.000000
+dualbound = 3853588.984213, lowerbound=1318434.984213, norm of subgrad 1148.729291 dualbound = 3853588.984213, lowerbound=1318434.984213, norm of subgrad 34.663244 stepsize= 1.000000
+dualbound = 3853626.557115, lowerbound=1318735.557115, norm of subgrad 1148.864464 dualbound = 3853626.557115, lowerbound=1318735.557115, norm of subgrad 34.519167 stepsize= 1.000000
+dualbound = 3853719.805101, lowerbound=1318402.805101, norm of subgrad 1148.668710 dualbound = 3853719.805101, lowerbound=1318402.805101, norm of subgrad 33.619161 stepsize= 1.000000
+dualbound = 3853750.500029, lowerbound=1324659.500029, norm of subgrad 1151.397629 dualbound = 3853750.500029, lowerbound=1324659.500029, norm of subgrad 32.980220 stepsize= 1.000000
+dualbound = 3853816.285351, lowerbound=1315761.285351, norm of subgrad 1147.548816 dualbound = 3853816.285351, lowerbound=1315761.285351, norm of subgrad 34.245953 stepsize= 1.000000
+dualbound = 3853850.693809, lowerbound=1321202.693809, norm of subgrad 1149.925951 dualbound = 3853850.693809, lowerbound=1321202.693809, norm of subgrad 34.079443 stepsize= 1.000000
+dualbound = 3853889.771028, lowerbound=1316046.771028, norm of subgrad 1147.668406 dualbound = 3853889.771028, lowerbound=1316046.771028, norm of subgrad 33.690907 stepsize= 1.000000
+dualbound = 3853938.123395, lowerbound=1323887.123395, norm of subgrad 1151.088669 dualbound = 3853938.123395, lowerbound=1323887.123395, norm of subgrad 34.151901 stepsize= 1.000000
+dualbound = 3854005.522718, lowerbound=1316062.522718, norm of subgrad 1147.676576 dualbound = 3854005.522718, lowerbound=1316062.522718, norm of subgrad 34.152589 stepsize= 1.000000
+dualbound = 3854060.632368, lowerbound=1330953.632368, norm of subgrad 1154.125917 dualbound = 3854060.632368, lowerbound=1330953.632368, norm of subgrad 33.288281 stepsize= 1.000000
+dualbound = 3854126.165409, lowerbound=1316885.165409, norm of subgrad 1148.025769 dualbound = 3854126.165409, lowerbound=1316885.165409, norm of subgrad 33.816165 stepsize= 1.000000
+dualbound = 3854158.213341, lowerbound=1322960.213341, norm of subgrad 1150.676416 dualbound = 3854158.213341, lowerbound=1322960.213341, norm of subgrad 33.586425 stepsize= 1.000000
+dualbound = 3854192.674825, lowerbound=1316233.674825, norm of subgrad 1147.758108 dualbound = 3854192.674825, lowerbound=1316233.674825, norm of subgrad 33.903709 stepsize= 1.000000
+dualbound = 3854247.217853, lowerbound=1319655.217853, norm of subgrad 1149.247675 dualbound = 3854247.217853, lowerbound=1319655.217853, norm of subgrad 34.198582 stepsize= 1.000000
+dualbound = 3854316.157240, lowerbound=1320197.157240, norm of subgrad 1149.468641 dualbound = 3854316.157240, lowerbound=1320197.157240, norm of subgrad 33.910756 stepsize= 1.000000
+dualbound = 3854359.493754, lowerbound=1320644.493754, norm of subgrad 1149.675821 dualbound = 3854359.493754, lowerbound=1320644.493754, norm of subgrad 33.960809 stepsize= 1.000000
+dualbound = 3854397.587903, lowerbound=1319528.587903, norm of subgrad 1149.203023 dualbound = 3854397.587903, lowerbound=1319528.587903, norm of subgrad 34.308806 stepsize= 1.000000
+dualbound = 3854459.346275, lowerbound=1324861.346275, norm of subgrad 1151.503516 dualbound = 3854459.346275, lowerbound=1324861.346275, norm of subgrad 34.069904 stepsize= 1.000000
+dualbound = 3854504.876177, lowerbound=1321690.876177, norm of subgrad 1150.114288 dualbound = 3854504.876177, lowerbound=1321690.876177, norm of subgrad 33.429477 stepsize= 1.000000
+dualbound = 3854567.194926, lowerbound=1318733.194926, norm of subgrad 1148.824702 dualbound = 3854567.194926, lowerbound=1318733.194926, norm of subgrad 33.575568 stepsize= 1.000000
+dualbound = 3854615.315746, lowerbound=1322346.315746, norm of subgrad 1150.422668 dualbound = 3854615.315746, lowerbound=1322346.315746, norm of subgrad 34.265446 stepsize= 1.000000
+dualbound = 3854647.179476, lowerbound=1325952.179476, norm of subgrad 1151.981415 dualbound = 3854647.179476, lowerbound=1325952.179476, norm of subgrad 33.776674 stepsize= 1.000000
+dualbound = 3854711.393651, lowerbound=1316835.393651, norm of subgrad 1148.042854 dualbound = 3854711.393651, lowerbound=1316835.393651, norm of subgrad 35.088662 stepsize= 1.000000
+dualbound = 3854738.695318, lowerbound=1318750.695318, norm of subgrad 1148.838847 dualbound = 3854738.695318, lowerbound=1318750.695318, norm of subgrad 33.276143 stepsize= 1.000000
+dualbound = 3854814.381050, lowerbound=1315800.381050, norm of subgrad 1147.538836 dualbound = 3854814.381050, lowerbound=1315800.381050, norm of subgrad 33.476645 stepsize= 1.000000
+dualbound = 3854895.201607, lowerbound=1319516.201607, norm of subgrad 1149.167177 dualbound = 3854895.201607, lowerbound=1319516.201607, norm of subgrad 33.909004 stepsize= 1.000000
+dualbound = 3854938.441072, lowerbound=1321881.441072, norm of subgrad 1150.186698 dualbound = 3854938.441072, lowerbound=1321881.441072, norm of subgrad 33.033914 stepsize= 1.000000
+dualbound = 3854999.792742, lowerbound=1321140.792742, norm of subgrad 1149.885122 dualbound = 3854999.792742, lowerbound=1321140.792742, norm of subgrad 34.005171 stepsize= 1.000000
+dualbound = 3855038.156771, lowerbound=1318875.156771, norm of subgrad 1148.900412 dualbound = 3855038.156771, lowerbound=1318875.156771, norm of subgrad 33.695163 stepsize= 1.000000
+dualbound = 3855102.594684, lowerbound=1321064.594684, norm of subgrad 1149.875904 dualbound = 3855102.594684, lowerbound=1321064.594684, norm of subgrad 34.848786 stepsize= 1.000000
+dualbound = 3855121.464506, lowerbound=1321302.464506, norm of subgrad 1149.961506 dualbound = 3855121.464506, lowerbound=1321302.464506, norm of subgrad 33.583773 stepsize= 1.000000
+dualbound = 3855203.359293, lowerbound=1320098.359293, norm of subgrad 1149.431320 dualbound = 3855203.359293, lowerbound=1320098.359293, norm of subgrad 34.291322 stepsize= 1.000000
+dualbound = 3855237.128159, lowerbound=1319485.128159, norm of subgrad 1149.179763 dualbound = 3855237.128159, lowerbound=1319485.128159, norm of subgrad 34.099397 stepsize= 1.000000
+dualbound = 3855291.226600, lowerbound=1319401.226600, norm of subgrad 1149.158921 dualbound = 3855291.226600, lowerbound=1319401.226600, norm of subgrad 34.915590 stepsize= 1.000000
+dualbound = 3855327.082854, lowerbound=1322195.082854, norm of subgrad 1150.376061 dualbound = 3855327.082854, lowerbound=1322195.082854, norm of subgrad 34.725441 stepsize= 1.000000
+dualbound = 3855411.885655, lowerbound=1317446.885655, norm of subgrad 1148.266905 dualbound = 3855411.885655, lowerbound=1317446.885655, norm of subgrad 33.982390 stepsize= 1.000000
+dualbound = 3855459.024374, lowerbound=1318521.024374, norm of subgrad 1148.772834 dualbound = 3855459.024374, lowerbound=1318521.024374, norm of subgrad 34.715108 stepsize= 1.000000
+dualbound = 3855508.849418, lowerbound=1311614.849418, norm of subgrad 1145.755580 dualbound = 3855508.849418, lowerbound=1311614.849418, norm of subgrad 34.508333 stepsize= 1.000000
+dualbound = 3855545.986644, lowerbound=1322739.986644, norm of subgrad 1150.582890 dualbound = 3855545.986644, lowerbound=1322739.986644, norm of subgrad 33.736289 stepsize= 1.000000
+dualbound = 3855614.573162, lowerbound=1321372.573162, norm of subgrad 1149.990684 dualbound = 3855614.573162, lowerbound=1321372.573162, norm of subgrad 34.272241 stepsize= 1.000000
+dualbound = 3855662.906472, lowerbound=1322115.906472, norm of subgrad 1150.309483 dualbound = 3855662.906472, lowerbound=1322115.906472, norm of subgrad 33.827996 stepsize= 1.000000
+dualbound = 3855722.363822, lowerbound=1320613.363822, norm of subgrad 1149.672720 dualbound = 3855722.363822, lowerbound=1320613.363822, norm of subgrad 34.546452 stepsize= 1.000000
+dualbound = 3855758.177473, lowerbound=1320875.177473, norm of subgrad 1149.780491 dualbound = 3855758.177473, lowerbound=1320875.177473, norm of subgrad 33.997259 stepsize= 1.000000
+dualbound = 3855816.646993, lowerbound=1323816.646993, norm of subgrad 1151.048933 dualbound = 3855816.646993, lowerbound=1323816.646993, norm of subgrad 33.992198 stepsize= 1.000000
+dualbound = 3855877.003831, lowerbound=1318160.003831, norm of subgrad 1148.610902 dualbound = 3855877.003831, lowerbound=1318160.003831, norm of subgrad 34.747041 stepsize= 1.000000
+dualbound = 3855907.264614, lowerbound=1316847.264614, norm of subgrad 1148.020585 dualbound = 3855907.264614, lowerbound=1316847.264614, norm of subgrad 33.678788 stepsize= 1.000000
+dualbound = 3855969.302828, lowerbound=1324001.302828, norm of subgrad 1151.120890 dualbound = 3855969.302828, lowerbound=1324001.302828, norm of subgrad 33.764452 stepsize= 1.000000
+dualbound = 3856055.778816, lowerbound=1321719.778816, norm of subgrad 1150.147286 dualbound = 3856055.778816, lowerbound=1321719.778816, norm of subgrad 34.719965 stepsize= 1.000000
+dualbound = 3856061.860467, lowerbound=1320150.860467, norm of subgrad 1149.475907 dualbound = 3856061.860467, lowerbound=1320150.860467, norm of subgrad 33.912854 stepsize= 1.000000
+dualbound = 3856138.710530, lowerbound=1314818.710530, norm of subgrad 1147.135437 dualbound = 3856138.710530, lowerbound=1314818.710530, norm of subgrad 34.319820 stepsize= 1.000000
+dualbound = 3856195.586284, lowerbound=1320646.586284, norm of subgrad 1149.705435 dualbound = 3856195.586284, lowerbound=1320646.586284, norm of subgrad 35.112331 stepsize= 1.000000
+dualbound = 3856242.918333, lowerbound=1316361.918333, norm of subgrad 1147.847080 dualbound = 3856242.918333, lowerbound=1316361.918333, norm of subgrad 35.189942 stepsize= 1.000000
+dualbound = 3856251.087746, lowerbound=1323967.087746, norm of subgrad 1151.153807 dualbound = 3856251.087746, lowerbound=1323967.087746, norm of subgrad 34.585682 stepsize= 1.000000
+dualbound = 3856339.914381, lowerbound=1315297.914381, norm of subgrad 1147.360412 dualbound = 3856339.914381, lowerbound=1315297.914381, norm of subgrad 35.026085 stepsize= 1.000000
+dualbound = 3856398.859513, lowerbound=1323448.859513, norm of subgrad 1150.900022 dualbound = 3856398.859513, lowerbound=1323448.859513, norm of subgrad 34.364882 stepsize= 1.000000
+dualbound = 3856442.477371, lowerbound=1315755.477371, norm of subgrad 1147.591599 dualbound = 3856442.477371, lowerbound=1315755.477371, norm of subgrad 35.420585 stepsize= 1.000000
+dualbound = 3856485.776609, lowerbound=1318769.776609, norm of subgrad 1148.867606 dualbound = 3856485.776609, lowerbound=1318769.776609, norm of subgrad 34.209637 stepsize= 1.000000
+dualbound = 3856555.110620, lowerbound=1319866.110620, norm of subgrad 1149.315932 dualbound = 3856555.110620, lowerbound=1319866.110620, norm of subgrad 33.620440 stepsize= 1.000000
+dualbound = 3856603.744316, lowerbound=1321177.744316, norm of subgrad 1149.931626 dualbound = 3856603.744316, lowerbound=1321177.744316, norm of subgrad 34.837246 stepsize= 1.000000
+dualbound = 3856644.778950, lowerbound=1314021.778950, norm of subgrad 1146.788463 dualbound = 3856644.778950, lowerbound=1314021.778950, norm of subgrad 33.808795 stepsize= 1.000000
+dualbound = 3856715.167715, lowerbound=1322471.167715, norm of subgrad 1150.474323 dualbound = 3856715.167715, lowerbound=1322471.167715, norm of subgrad 34.502011 stepsize= 1.000000
+dualbound = 3856748.314778, lowerbound=1320797.314778, norm of subgrad 1149.747935 dualbound = 3856748.314778, lowerbound=1320797.314778, norm of subgrad 34.002163 stepsize= 1.000000
+dualbound = 3856801.895736, lowerbound=1320831.895736, norm of subgrad 1149.749927 dualbound = 3856801.895736, lowerbound=1320831.895736, norm of subgrad 33.861201 stepsize= 1.000000
+dualbound = 3856864.933428, lowerbound=1324555.933428, norm of subgrad 1151.360905 dualbound = 3856864.933428, lowerbound=1324555.933428, norm of subgrad 33.749632 stepsize= 1.000000
+dualbound = 3856915.951057, lowerbound=1321425.951057, norm of subgrad 1150.039978 dualbound = 3856915.951057, lowerbound=1321425.951057, norm of subgrad 34.885780 stepsize= 1.000000
+dualbound = 3856945.903873, lowerbound=1317650.903873, norm of subgrad 1148.363577 dualbound = 3856945.903873, lowerbound=1317650.903873, norm of subgrad 33.435801 stepsize= 1.000000
+dualbound = 3857025.493562, lowerbound=1320004.493562, norm of subgrad 1149.394838 dualbound = 3857025.493562, lowerbound=1320004.493562, norm of subgrad 34.403338 stepsize= 1.000000
+dualbound = 3857050.616365, lowerbound=1325722.616365, norm of subgrad 1151.862238 dualbound = 3857050.616365, lowerbound=1325722.616365, norm of subgrad 33.001861 stepsize= 1.000000
+dualbound = 3857135.825665, lowerbound=1315135.825665, norm of subgrad 1147.260139 dualbound = 3857135.825665, lowerbound=1315135.825665, norm of subgrad 33.988370 stepsize= 1.000000
+dualbound = 3857174.024304, lowerbound=1322448.024304, norm of subgrad 1150.451226 dualbound = 3857174.024304, lowerbound=1322448.024304, norm of subgrad 33.588668 stepsize= 1.000000
+dualbound = 3857228.207324, lowerbound=1315820.207324, norm of subgrad 1147.554011 dualbound = 3857228.207324, lowerbound=1315820.207324, norm of subgrad 33.379380 stepsize= 1.000000
+dualbound = 3857283.933828, lowerbound=1321905.933828, norm of subgrad 1150.214734 dualbound = 3857283.933828, lowerbound=1321905.933828, norm of subgrad 33.819026 stepsize= 1.000000
+dualbound = 3857341.653263, lowerbound=1320195.653263, norm of subgrad 1149.478862 dualbound = 3857341.653263, lowerbound=1320195.653263, norm of subgrad 34.113332 stepsize= 1.000000
+dualbound = 3857366.545812, lowerbound=1322763.545812, norm of subgrad 1150.621374 dualbound = 3857366.545812, lowerbound=1322763.545812, norm of subgrad 34.509311 stepsize= 1.000000
+dualbound = 3857429.254885, lowerbound=1325610.254885, norm of subgrad 1151.867290 dualbound = 3857429.254885, lowerbound=1325610.254885, norm of subgrad 35.365365 stepsize= 1.000000
+dualbound = 3857469.739222, lowerbound=1320435.739222, norm of subgrad 1149.588944 dualbound = 3857469.739222, lowerbound=1320435.739222, norm of subgrad 34.051202 stepsize= 1.000000
+dualbound = 3857534.208036, lowerbound=1321498.208036, norm of subgrad 1150.056176 dualbound = 3857534.208036, lowerbound=1321498.208036, norm of subgrad 34.575552 stepsize= 1.000000
+dualbound = 3857590.052713, lowerbound=1320359.052713, norm of subgrad 1149.509049 dualbound = 3857590.052713, lowerbound=1320359.052713, norm of subgrad 32.677893 stepsize= 1.000000
+dualbound = 3857651.860762, lowerbound=1319574.860762, norm of subgrad 1149.203577 dualbound = 3857651.860762, lowerbound=1319574.860762, norm of subgrad 33.997177 stepsize= 1.000000
+dualbound = 3857689.291850, lowerbound=1324256.291850, norm of subgrad 1151.243368 dualbound = 3857689.291850, lowerbound=1324256.291850, norm of subgrad 33.799868 stepsize= 1.000000
+dualbound = 3857748.526861, lowerbound=1315751.526861, norm of subgrad 1147.515807 dualbound = 3857748.526861, lowerbound=1315751.526861, norm of subgrad 33.169791 stepsize= 1.000000
+dualbound = 3857807.967018, lowerbound=1322590.967018, norm of subgrad 1150.511611 dualbound = 3857807.967018, lowerbound=1322590.967018, norm of subgrad 33.844352 stepsize= 1.000000
+dualbound = 3857830.422183, lowerbound=1322559.422183, norm of subgrad 1150.527888 dualbound = 3857830.422183, lowerbound=1322559.422183, norm of subgrad 34.314067 stepsize= 1.000000
+dualbound = 3857878.813874, lowerbound=1321693.813874, norm of subgrad 1150.138606 dualbound = 3857878.813874, lowerbound=1321693.813874, norm of subgrad 34.254805 stepsize= 1.000000
+dualbound = 3857936.418650, lowerbound=1315549.418650, norm of subgrad 1147.471751 dualbound = 3857936.418650, lowerbound=1315549.418650, norm of subgrad 34.635311 stepsize= 1.000000
+dualbound = 3857987.651217, lowerbound=1321460.651217, norm of subgrad 1150.042891 dualbound = 3857987.651217, lowerbound=1321460.651217, norm of subgrad 34.485251 stepsize= 1.000000
+dualbound = 3858022.144864, lowerbound=1320430.144864, norm of subgrad 1149.626524 dualbound = 3858022.144864, lowerbound=1320430.144864, norm of subgrad 35.291552 stepsize= 1.000000
+dualbound = 3858093.239000, lowerbound=1317459.239000, norm of subgrad 1148.308425 dualbound = 3858093.239000, lowerbound=1317459.239000, norm of subgrad 34.987057 stepsize= 1.000000
+dualbound = 3858132.447475, lowerbound=1320271.447475, norm of subgrad 1149.539668 dualbound = 3858132.447475, lowerbound=1320271.447475, norm of subgrad 34.773675 stepsize= 1.000000
+dualbound = 3858187.099252, lowerbound=1315144.099252, norm of subgrad 1147.309069 dualbound = 3858187.099252, lowerbound=1315144.099252, norm of subgrad 35.052129 stepsize= 1.000000
+dualbound = 3858233.200243, lowerbound=1325256.200243, norm of subgrad 1151.713593 dualbound = 3858233.200243, lowerbound=1325256.200243, norm of subgrad 35.129774 stepsize= 1.000000
+dualbound = 3858291.536134, lowerbound=1317623.536134, norm of subgrad 1148.371254 dualbound = 3858291.536134, lowerbound=1317623.536134, norm of subgrad 34.515734 stepsize= 1.000000
+dualbound = 3858364.405700, lowerbound=1319650.405700, norm of subgrad 1149.261679 dualbound = 3858364.405700, lowerbound=1319650.405700, norm of subgrad 34.998137 stepsize= 1.000000
+dualbound = 3858394.838802, lowerbound=1320213.838802, norm of subgrad 1149.516785 dualbound = 3858394.838802, lowerbound=1320213.838802, norm of subgrad 34.719348 stepsize= 1.000000
+dualbound = 3858470.468233, lowerbound=1317262.468233, norm of subgrad 1148.210115 dualbound = 3858470.468233, lowerbound=1317262.468233, norm of subgrad 34.635667 stepsize= 1.000000
+dualbound = 3858516.090546, lowerbound=1321684.090546, norm of subgrad 1150.130901 dualbound = 3858516.090546, lowerbound=1321684.090546, norm of subgrad 34.097248 stepsize= 1.000000
+dualbound = 3858567.692437, lowerbound=1317260.692437, norm of subgrad 1148.216309 dualbound = 3858567.692437, lowerbound=1317260.692437, norm of subgrad 34.519587 stepsize= 1.000000
+dualbound = 3858602.556148, lowerbound=1319712.556148, norm of subgrad 1149.283062 dualbound = 3858602.556148, lowerbound=1319712.556148, norm of subgrad 34.261695 stepsize= 1.000000
+dualbound = 3858678.662384, lowerbound=1321677.662384, norm of subgrad 1150.124194 dualbound = 3858678.662384, lowerbound=1321677.662384, norm of subgrad 34.410845 stepsize= 1.000000
+dualbound = 3858716.119903, lowerbound=1323407.119903, norm of subgrad 1150.864944 dualbound = 3858716.119903, lowerbound=1323407.119903, norm of subgrad 33.473236 stepsize= 1.000000
+dualbound = 3858767.527183, lowerbound=1322794.527183, norm of subgrad 1150.601376 dualbound = 3858767.527183, lowerbound=1322794.527183, norm of subgrad 33.769917 stepsize= 1.000000
+dualbound = 3858833.835826, lowerbound=1318617.835826, norm of subgrad 1148.794949 dualbound = 3858833.835826, lowerbound=1318617.835826, norm of subgrad 34.326501 stepsize= 1.000000
+dualbound = 3858877.598765, lowerbound=1322559.598765, norm of subgrad 1150.518839 dualbound = 3858877.598765, lowerbound=1322559.598765, norm of subgrad 34.318551 stepsize= 1.000000
+dualbound = 3858933.055777, lowerbound=1318414.055777, norm of subgrad 1148.699724 dualbound = 3858933.055777, lowerbound=1318414.055777, norm of subgrad 33.947857 stepsize= 1.000000
+dualbound = 3858987.858817, lowerbound=1321680.858817, norm of subgrad 1150.104282 dualbound = 3858987.858817, lowerbound=1321680.858817, norm of subgrad 33.373688 stepsize= 1.000000
+dualbound = 3859056.709130, lowerbound=1318417.709130, norm of subgrad 1148.687821 dualbound = 3859056.709130, lowerbound=1318417.709130, norm of subgrad 33.687539 stepsize= 1.000000
+dualbound = 3859102.855568, lowerbound=1319492.855568, norm of subgrad 1149.155279 dualbound = 3859102.855568, lowerbound=1319492.855568, norm of subgrad 33.333863 stepsize= 1.000000
+dualbound = 3859155.067578, lowerbound=1321144.067578, norm of subgrad 1149.857412 dualbound = 3859155.067578, lowerbound=1321144.067578, norm of subgrad 32.866579 stepsize= 1.000000
+dualbound = 3859236.805995, lowerbound=1316994.805995, norm of subgrad 1148.066987 dualbound = 3859236.805995, lowerbound=1316994.805995, norm of subgrad 33.833983 stepsize= 1.000000
+dualbound = 3859254.025391, lowerbound=1319135.025391, norm of subgrad 1149.009149 dualbound = 3859254.025391, lowerbound=1319135.025391, norm of subgrad 33.229797 stepsize= 1.000000
+dualbound = 3859307.514415, lowerbound=1317763.514415, norm of subgrad 1148.422620 dualbound = 3859307.514415, lowerbound=1317763.514415, norm of subgrad 34.124610 stepsize= 1.000000
+dualbound = 3859344.905370, lowerbound=1318617.905370, norm of subgrad 1148.826316 dualbound = 3859344.905370, lowerbound=1318617.905370, norm of subgrad 34.948404 stepsize= 1.000000
+dualbound = 3859380.580612, lowerbound=1323477.580612, norm of subgrad 1150.922491 dualbound = 3859380.580612, lowerbound=1323477.580612, norm of subgrad 34.360955 stepsize= 1.000000
+dualbound = 3859445.595666, lowerbound=1321122.595666, norm of subgrad 1149.881557 dualbound = 3859445.595666, lowerbound=1321122.595666, norm of subgrad 34.205483 stepsize= 1.000000
+dualbound = 3859516.887001, lowerbound=1317108.887001, norm of subgrad 1148.148025 dualbound = 3859516.887001, lowerbound=1317108.887001, norm of subgrad 34.731705 stepsize= 1.000000
+dualbound = 3859550.403651, lowerbound=1319138.403651, norm of subgrad 1149.061532 dualbound = 3859550.403651, lowerbound=1319138.403651, norm of subgrad 35.178355 stepsize= 1.000000
+dualbound = 3859604.966015, lowerbound=1318445.966015, norm of subgrad 1148.724060 dualbound = 3859604.966015, lowerbound=1318445.966015, norm of subgrad 34.286475 stepsize= 1.000000
+dualbound = 3859678.721456, lowerbound=1321691.721456, norm of subgrad 1150.138131 dualbound = 3859678.721456, lowerbound=1321691.721456, norm of subgrad 34.637486 stepsize= 1.000000
+dualbound = 3859712.077088, lowerbound=1322140.077088, norm of subgrad 1150.320424 dualbound = 3859712.077088, lowerbound=1322140.077088, norm of subgrad 33.620762 stepsize= 1.000000
+dualbound = 3859789.074127, lowerbound=1324426.074127, norm of subgrad 1151.327093 dualbound = 3859789.074127, lowerbound=1324426.074127, norm of subgrad 34.713067 stepsize= 1.000000
+dualbound = 3859808.474234, lowerbound=1321455.474234, norm of subgrad 1150.053248 dualbound = 3859808.474234, lowerbound=1321455.474234, norm of subgrad 34.444159 stepsize= 1.000000
+dualbound = 3859876.465276, lowerbound=1317590.465276, norm of subgrad 1148.340744 dualbound = 3859876.465276, lowerbound=1317590.465276, norm of subgrad 34.117313 stepsize= 1.000000
+dualbound = 3859921.207400, lowerbound=1320657.207400, norm of subgrad 1149.692658 dualbound = 3859921.207400, lowerbound=1320657.207400, norm of subgrad 34.361928 stepsize= 1.000000
+dualbound = 3859990.805183, lowerbound=1324204.805183, norm of subgrad 1151.233167 dualbound = 3859990.805183, lowerbound=1324204.805183, norm of subgrad 34.678492 stepsize= 1.000000
+dualbound = 3860049.042193, lowerbound=1318021.042193, norm of subgrad 1148.543879 dualbound = 3860049.042193, lowerbound=1318021.042193, norm of subgrad 34.499812 stepsize= 1.000000
+dualbound = 3860089.894655, lowerbound=1323266.894655, norm of subgrad 1150.810973 dualbound = 3860089.894655, lowerbound=1323266.894655, norm of subgrad 33.761701 stepsize= 1.000000
+dualbound = 3860136.427723, lowerbound=1320117.427723, norm of subgrad 1149.450924 dualbound = 3860136.427723, lowerbound=1320117.427723, norm of subgrad 34.154547 stepsize= 1.000000
+dualbound = 3860209.938387, lowerbound=1319111.938387, norm of subgrad 1149.006065 dualbound = 3860209.938387, lowerbound=1319111.938387, norm of subgrad 34.300301 stepsize= 1.000000
+dualbound = 3860249.564890, lowerbound=1322345.564890, norm of subgrad 1150.405392 dualbound = 3860249.564890, lowerbound=1322345.564890, norm of subgrad 33.565257 stepsize= 1.000000
+dualbound = 3860304.721419, lowerbound=1319499.721419, norm of subgrad 1149.174800 dualbound = 3860304.721419, lowerbound=1319499.721419, norm of subgrad 34.031699 stepsize= 1.000000
+dualbound = 3860342.610876, lowerbound=1320257.610876, norm of subgrad 1149.514511 dualbound = 3860342.610876, lowerbound=1320257.610876, norm of subgrad 34.115824 stepsize= 1.000000
+dualbound = 3860382.722398, lowerbound=1325371.722398, norm of subgrad 1151.755062 dualbound = 3860382.722398, lowerbound=1325371.722398, norm of subgrad 34.757899 stepsize= 1.000000
+dualbound = 3860401.304536, lowerbound=1320807.304536, norm of subgrad 1149.759238 dualbound = 3860401.304536, lowerbound=1320807.304536, norm of subgrad 34.023259 stepsize= 1.000000
+dualbound = 3860502.866175, lowerbound=1319657.866175, norm of subgrad 1149.242301 dualbound = 3860502.866175, lowerbound=1319657.866175, norm of subgrad 34.663549 stepsize= 1.000000
+dualbound = 3860542.485121, lowerbound=1319629.485121, norm of subgrad 1149.222992 dualbound = 3860542.485121, lowerbound=1319629.485121, norm of subgrad 33.520426 stepsize= 1.000000
+dualbound = 3860610.872473, lowerbound=1325454.872473, norm of subgrad 1151.768150 dualbound = 3860610.872473, lowerbound=1325454.872473, norm of subgrad 34.400398 stepsize= 1.000000
+dualbound = 3860663.798695, lowerbound=1321469.798695, norm of subgrad 1150.026434 dualbound = 3860663.798695, lowerbound=1321469.798695, norm of subgrad 33.821978 stepsize= 1.000000
+dualbound = 3860703.315307, lowerbound=1321109.315307, norm of subgrad 1149.852302 dualbound = 3860703.315307, lowerbound=1321109.315307, norm of subgrad 33.022971 stepsize= 1.000000
+dualbound = 3860776.827812, lowerbound=1319401.827812, norm of subgrad 1149.133947 dualbound = 3860776.827812, lowerbound=1319401.827812, norm of subgrad 34.358587 stepsize= 1.000000
+dualbound = 3860822.053517, lowerbound=1313995.053517, norm of subgrad 1146.775067 dualbound = 3860822.053517, lowerbound=1313995.053517, norm of subgrad 33.811621 stepsize= 1.000000
+dualbound = 3860851.739270, lowerbound=1322636.739270, norm of subgrad 1150.604510 dualbound = 3860851.739270, lowerbound=1322636.739270, norm of subgrad 35.828561 stepsize= 1.000000
+dualbound = 3860901.543413, lowerbound=1321976.543413, norm of subgrad 1150.278029 dualbound = 3860901.543413, lowerbound=1321976.543413, norm of subgrad 34.825338 stepsize= 1.000000
+dualbound = 3860967.929532, lowerbound=1321649.929532, norm of subgrad 1150.113007 dualbound = 3860967.929532, lowerbound=1321649.929532, norm of subgrad 34.298486 stepsize= 1.000000
+dualbound = 3861022.550791, lowerbound=1324053.550791, norm of subgrad 1151.164867 dualbound = 3861022.550791, lowerbound=1324053.550791, norm of subgrad 34.374718 stepsize= 1.000000
+dualbound = 3861080.091349, lowerbound=1317813.091349, norm of subgrad 1148.442463 dualbound = 3861080.091349, lowerbound=1317813.091349, norm of subgrad 34.125365 stepsize= 1.000000
+dualbound = 3861139.896595, lowerbound=1324331.896595, norm of subgrad 1151.282718 dualbound = 3861139.896595, lowerbound=1324331.896595, norm of subgrad 34.348293 stepsize= 1.000000
+dualbound = 3861185.590978, lowerbound=1319047.590978, norm of subgrad 1148.967620 dualbound = 3861185.590978, lowerbound=1319047.590978, norm of subgrad 33.536463 stepsize= 1.000000
+dualbound = 3861236.280692, lowerbound=1324367.280692, norm of subgrad 1151.314588 dualbound = 3861236.280692, lowerbound=1324367.280692, norm of subgrad 34.766215 stepsize= 1.000000
+dualbound = 3861272.230674, lowerbound=1319391.230674, norm of subgrad 1149.162839 dualbound = 3861272.230674, lowerbound=1319391.230674, norm of subgrad 34.927782 stepsize= 1.000000
+dualbound = 3861322.567106, lowerbound=1321502.567106, norm of subgrad 1150.069375 dualbound = 3861322.567106, lowerbound=1321502.567106, norm of subgrad 34.746747 stepsize= 1.000000
+dualbound = 3861364.759815, lowerbound=1317193.759815, norm of subgrad 1148.198485 dualbound = 3861364.759815, lowerbound=1317193.759815, norm of subgrad 34.759067 stepsize= 1.000000
+dualbound = 3861442.890296, lowerbound=1322062.890296, norm of subgrad 1150.299479 dualbound = 3861442.890296, lowerbound=1322062.890296, norm of subgrad 34.700583 stepsize= 1.000000
+dualbound = 3861473.133660, lowerbound=1320774.133660, norm of subgrad 1149.766556 dualbound = 3861473.133660, lowerbound=1320774.133660, norm of subgrad 34.917666 stepsize= 1.000000
+dualbound = 3861528.506457, lowerbound=1317768.506457, norm of subgrad 1148.436549 dualbound = 3861528.506457, lowerbound=1317768.506457, norm of subgrad 34.545228 stepsize= 1.000000
+dualbound = 3861574.848191, lowerbound=1319226.848191, norm of subgrad 1149.070428 dualbound = 3861574.848191, lowerbound=1319226.848191, norm of subgrad 34.385196 stepsize= 1.000000
+dualbound = 3861661.069797, lowerbound=1320624.069797, norm of subgrad 1149.663894 dualbound = 3861661.069797, lowerbound=1320624.069797, norm of subgrad 34.485093 stepsize= 1.000000
+dualbound = 3861704.316661, lowerbound=1319004.316661, norm of subgrad 1148.954445 dualbound = 3861704.316661, lowerbound=1319004.316661, norm of subgrad 33.693425 stepsize= 1.000000
+dualbound = 3861762.556413, lowerbound=1321506.556413, norm of subgrad 1150.033720 dualbound = 3861762.556413, lowerbound=1321506.556413, norm of subgrad 33.604163 stepsize= 1.000000
+dualbound = 3861810.863570, lowerbound=1322811.863570, norm of subgrad 1150.610648 dualbound = 3861810.863570, lowerbound=1322811.863570, norm of subgrad 33.783238 stepsize= 1.000000
+dualbound = 3861851.901580, lowerbound=1314675.901580, norm of subgrad 1147.077112 dualbound = 3861851.901580, lowerbound=1314675.901580, norm of subgrad 33.926951 stepsize= 1.000000
+dualbound = 3861919.073235, lowerbound=1323047.073235, norm of subgrad 1150.735883 dualbound = 3861919.073235, lowerbound=1323047.073235, norm of subgrad 34.830614 stepsize= 1.000000
+dualbound = 3861960.822473, lowerbound=1318244.822473, norm of subgrad 1148.639118 dualbound = 3861960.822473, lowerbound=1318244.822473, norm of subgrad 34.186975 stepsize= 1.000000
+dualbound = 3862005.858561, lowerbound=1323422.858561, norm of subgrad 1150.876127 dualbound = 3862005.858561, lowerbound=1323422.858561, norm of subgrad 33.734790 stepsize= 1.000000
+dualbound = 3862079.328756, lowerbound=1323242.328756, norm of subgrad 1150.807251 dualbound = 3862079.328756, lowerbound=1323242.328756, norm of subgrad 34.474196 stepsize= 1.000000
+dualbound = 3862113.377147, lowerbound=1325504.377147, norm of subgrad 1151.817424 dualbound = 3862113.377147, lowerbound=1325504.377147, norm of subgrad 34.828844 stepsize= 1.000000
+dualbound = 3862161.588509, lowerbound=1316233.588509, norm of subgrad 1147.768526 dualbound = 3862161.588509, lowerbound=1316233.588509, norm of subgrad 34.455934 stepsize= 1.000000
+dualbound = 3862216.653386, lowerbound=1320930.653386, norm of subgrad 1149.795048 dualbound = 3862216.653386, lowerbound=1320930.653386, norm of subgrad 33.956809 stepsize= 1.000000
+dualbound = 3862281.095272, lowerbound=1321469.095272, norm of subgrad 1150.043519 dualbound = 3862281.095272, lowerbound=1321469.095272, norm of subgrad 34.575163 stepsize= 1.000000
+dualbound = 3862337.054658, lowerbound=1321109.054658, norm of subgrad 1149.889149 dualbound = 3862337.054658, lowerbound=1321109.054658, norm of subgrad 34.524765 stepsize= 1.000000
+dualbound = 3862363.747008, lowerbound=1318990.747008, norm of subgrad 1148.976391 dualbound = 3862363.747008, lowerbound=1318990.747008, norm of subgrad 34.390294 stepsize= 1.000000
+dualbound = 3862419.769059, lowerbound=1323651.769059, norm of subgrad 1150.989040 dualbound = 3862419.769059, lowerbound=1323651.769059, norm of subgrad 34.351449 stepsize= 1.000000
+dualbound = 3862493.762415, lowerbound=1322074.762415, norm of subgrad 1150.286817 dualbound = 3862493.762415, lowerbound=1322074.762415, norm of subgrad 34.043991 stepsize= 1.000000
+dualbound = 3862532.142483, lowerbound=1321005.142483, norm of subgrad 1149.836137 dualbound = 3862532.142483, lowerbound=1321005.142483, norm of subgrad 34.005589 stepsize= 1.000000
+dualbound = 3862574.034173, lowerbound=1318113.034173, norm of subgrad 1148.568254 dualbound = 3862574.034173, lowerbound=1318113.034173, norm of subgrad 33.732650 stepsize= 1.000000
+dualbound = 3862653.578017, lowerbound=1319374.578017, norm of subgrad 1149.104685 dualbound = 3862653.578017, lowerbound=1319374.578017, norm of subgrad 33.860653 stepsize= 1.000000
+dualbound = 3862681.310400, lowerbound=1316405.310400, norm of subgrad 1147.837232 dualbound = 3862681.310400, lowerbound=1316405.310400, norm of subgrad 33.951913 stepsize= 1.000000
+dualbound = 3862737.168183, lowerbound=1323671.168183, norm of subgrad 1151.019187 dualbound = 3862737.168183, lowerbound=1323671.168183, norm of subgrad 35.069328 stepsize= 1.000000
+dualbound = 3862784.196108, lowerbound=1325843.196108, norm of subgrad 1151.946264 dualbound = 3862784.196108, lowerbound=1325843.196108, norm of subgrad 34.409707 stepsize= 1.000000
+dualbound = 3862834.683884, lowerbound=1322603.683884, norm of subgrad 1150.541474 dualbound = 3862834.683884, lowerbound=1322603.683884, norm of subgrad 34.532416 stepsize= 1.000000
+dualbound = 3862873.333502, lowerbound=1321040.333502, norm of subgrad 1149.879704 dualbound = 3862873.333502, lowerbound=1321040.333502, norm of subgrad 34.952105 stepsize= 1.000000
+dualbound = 3862936.529621, lowerbound=1322135.529621, norm of subgrad 1150.341919 dualbound = 3862936.529621, lowerbound=1322135.529621, norm of subgrad 34.845317 stepsize= 1.000000
+dualbound = 3862998.716153, lowerbound=1322485.716153, norm of subgrad 1150.480211 dualbound = 3862998.716153, lowerbound=1322485.716153, norm of subgrad 34.368394 stepsize= 1.000000
+dualbound = 3863061.199972, lowerbound=1316797.199972, norm of subgrad 1147.986585 dualbound = 3863061.199972, lowerbound=1316797.199972, norm of subgrad 33.741426 stepsize= 1.000000
+dualbound = 3863110.255974, lowerbound=1319759.255974, norm of subgrad 1149.297723 dualbound = 3863110.255974, lowerbound=1319759.255974, norm of subgrad 34.279090 stepsize= 1.000000
+dualbound = 3863166.949040, lowerbound=1313788.949040, norm of subgrad 1146.686073 dualbound = 3863166.949040, lowerbound=1313788.949040, norm of subgrad 34.010191 stepsize= 1.000000
+dualbound = 3863210.535592, lowerbound=1321537.535592, norm of subgrad 1150.053275 dualbound = 3863210.535592, lowerbound=1321537.535592, norm of subgrad 33.594442 stepsize= 1.000000
+dualbound = 3863272.599557, lowerbound=1320565.599557, norm of subgrad 1149.633681 dualbound = 3863272.599557, lowerbound=1320565.599557, norm of subgrad 33.971517 stepsize= 1.000000
+dualbound = 3863318.494996, lowerbound=1324231.494996, norm of subgrad 1151.209579 dualbound = 3863318.494996, lowerbound=1324231.494996, norm of subgrad 33.134505 stepsize= 1.000000
+dualbound = 3863371.434145, lowerbound=1320160.434145, norm of subgrad 1149.470937 dualbound = 3863371.434145, lowerbound=1320160.434145, norm of subgrad 34.291969 stepsize= 1.000000
+dualbound = 3863414.769765, lowerbound=1321027.769765, norm of subgrad 1149.810319 dualbound = 3863414.769765, lowerbound=1321027.769765, norm of subgrad 32.853244 stepsize= 1.000000
+dualbound = 3863512.509353, lowerbound=1316172.509353, norm of subgrad 1147.697482 dualbound = 3863512.509353, lowerbound=1316172.509353, norm of subgrad 33.685896 stepsize= 1.000000
+dualbound = 3863550.356667, lowerbound=1321212.356667, norm of subgrad 1149.907977 dualbound = 3863550.356667, lowerbound=1321212.356667, norm of subgrad 33.374351 stepsize= 1.000000
+dualbound = 3863589.326552, lowerbound=1323237.326552, norm of subgrad 1150.818981 dualbound = 3863589.326552, lowerbound=1323237.326552, norm of subgrad 34.437913 stepsize= 1.000000
+dualbound = 3863609.411685, lowerbound=1317928.411685, norm of subgrad 1148.506601 dualbound = 3863609.411685, lowerbound=1317928.411685, norm of subgrad 34.045339 stepsize= 1.000000
+dualbound = 3863701.953659, lowerbound=1318143.953659, norm of subgrad 1148.571702 dualbound = 3863701.953659, lowerbound=1318143.953659, norm of subgrad 34.140035 stepsize= 1.000000
+dualbound = 3863743.924149, lowerbound=1325449.924149, norm of subgrad 1151.777723 dualbound = 3863743.924149, lowerbound=1325449.924149, norm of subgrad 34.408872 stepsize= 1.000000
+dualbound = 3863775.907028, lowerbound=1316312.907028, norm of subgrad 1147.811791 dualbound = 3863775.907028, lowerbound=1316312.907028, norm of subgrad 34.510620 stepsize= 1.000000
+dualbound = 3863839.964453, lowerbound=1322616.964453, norm of subgrad 1150.558110 dualbound = 3863839.964453, lowerbound=1322616.964453, norm of subgrad 35.086428 stepsize= 1.000000
+dualbound = 3863875.707220, lowerbound=1319330.707220, norm of subgrad 1149.148253 dualbound = 3863875.707220, lowerbound=1319330.707220, norm of subgrad 35.309245 stepsize= 1.000000
+dualbound = 3863920.832176, lowerbound=1318138.832176, norm of subgrad 1148.621710 dualbound = 3863920.832176, lowerbound=1318138.832176, norm of subgrad 35.187000 stepsize= 1.000000
+dualbound = 3863982.990512, lowerbound=1323649.990512, norm of subgrad 1151.023454 dualbound = 3863982.990512, lowerbound=1323649.990512, norm of subgrad 35.597168 stepsize= 1.000000
+dualbound = 3864020.984415, lowerbound=1317555.984415, norm of subgrad 1148.355774 dualbound = 3864020.984415, lowerbound=1317555.984415, norm of subgrad 34.684203 stepsize= 1.000000
+dualbound = 3864091.364248, lowerbound=1321017.364248, norm of subgrad 1149.861454 dualbound = 3864091.364248, lowerbound=1321017.364248, norm of subgrad 35.133742 stepsize= 1.000000
+dualbound = 3864135.321294, lowerbound=1316221.321294, norm of subgrad 1147.764924 dualbound = 3864135.321294, lowerbound=1316221.321294, norm of subgrad 34.452243 stepsize= 1.000000
+dualbound = 3864205.654506, lowerbound=1323134.654506, norm of subgrad 1150.746564 dualbound = 3864205.654506, lowerbound=1323134.654506, norm of subgrad 33.960760 stepsize= 1.000000
+dualbound = 3864264.552957, lowerbound=1326575.552957, norm of subgrad 1152.268004 dualbound = 3864264.552957, lowerbound=1326575.552957, norm of subgrad 34.711647 stepsize= 1.000000
+dualbound = 3864313.656677, lowerbound=1325561.656677, norm of subgrad 1151.810165 dualbound = 3864313.656677, lowerbound=1325561.656677, norm of subgrad 33.972102 stepsize= 1.000000
+dualbound = 3864372.446322, lowerbound=1315046.446322, norm of subgrad 1147.247334 dualbound = 3864372.446322, lowerbound=1315046.446322, norm of subgrad 34.478829 stepsize= 1.000000
+dualbound = 3864428.506355, lowerbound=1322549.506355, norm of subgrad 1150.479685 dualbound = 3864428.506355, lowerbound=1322549.506355, norm of subgrad 33.317563 stepsize= 1.000000
+dualbound = 3864475.785497, lowerbound=1323398.785497, norm of subgrad 1150.871316 dualbound = 3864475.785497, lowerbound=1323398.785497, norm of subgrad 33.959964 stepsize= 1.000000
+dualbound = 3864550.495578, lowerbound=1325976.495578, norm of subgrad 1151.975041 dualbound = 3864550.495578, lowerbound=1325976.495578, norm of subgrad 33.833564 stepsize= 1.000000
+dualbound = 3864580.680393, lowerbound=1323042.680393, norm of subgrad 1150.708339 dualbound = 3864580.680393, lowerbound=1323042.680393, norm of subgrad 33.424315 stepsize= 1.000000
+dualbound = 3864632.779600, lowerbound=1316618.779600, norm of subgrad 1147.914099 dualbound = 3864632.779600, lowerbound=1316618.779600, norm of subgrad 33.765355 stepsize= 1.000000
+dualbound = 3864675.488637, lowerbound=1319817.488637, norm of subgrad 1149.315226 dualbound = 3864675.488637, lowerbound=1319817.488637, norm of subgrad 33.922102 stepsize= 1.000000
+dualbound = 3864730.311786, lowerbound=1317175.311786, norm of subgrad 1148.154307 dualbound = 3864730.311786, lowerbound=1317175.311786, norm of subgrad 33.731634 stepsize= 1.000000
+dualbound = 3864809.685772, lowerbound=1317838.685772, norm of subgrad 1148.457960 dualbound = 3864809.685772, lowerbound=1317838.685772, norm of subgrad 34.588640 stepsize= 1.000000
+dualbound = 3864840.725145, lowerbound=1319472.725145, norm of subgrad 1149.159573 dualbound = 3864840.725145, lowerbound=1319472.725145, norm of subgrad 33.556510 stepsize= 1.000000
+dualbound = 3864890.070839, lowerbound=1319926.070839, norm of subgrad 1149.337666 dualbound = 3864890.070839, lowerbound=1319926.070839, norm of subgrad 33.171459 stepsize= 1.000000
+dualbound = 3864960.413913, lowerbound=1321022.413913, norm of subgrad 1149.826254 dualbound = 3864960.413913, lowerbound=1321022.413913, norm of subgrad 33.887211 stepsize= 1.000000
+dualbound = 3864988.407686, lowerbound=1314522.407686, norm of subgrad 1147.017178 dualbound = 3864988.407686, lowerbound=1314522.407686, norm of subgrad 33.970484 stepsize= 1.000000
+dualbound = 3865028.284327, lowerbound=1324340.284327, norm of subgrad 1151.295047 dualbound = 3865028.284327, lowerbound=1324340.284327, norm of subgrad 34.349332 stepsize= 1.000000
+dualbound = 3865095.492209, lowerbound=1320515.492209, norm of subgrad 1149.591011 dualbound = 3865095.492209, lowerbound=1320515.492209, norm of subgrad 33.334785 stepsize= 1.000000
+dualbound = 3865162.093930, lowerbound=1319392.093930, norm of subgrad 1149.124055 dualbound = 3865162.093930, lowerbound=1319392.093930, norm of subgrad 34.067605 stepsize= 1.000000
+dualbound = 3865199.498195, lowerbound=1323644.498195, norm of subgrad 1150.995438 dualbound = 3865199.498195, lowerbound=1323644.498195, norm of subgrad 34.400643 stepsize= 1.000000
+dualbound = 3865237.551535, lowerbound=1321406.551535, norm of subgrad 1149.991544 dualbound = 3865237.551535, lowerbound=1321406.551535, norm of subgrad 33.347464 stepsize= 1.000000
+dualbound = 3865318.068148, lowerbound=1318388.068148, norm of subgrad 1148.714093 dualbound = 3865318.068148, lowerbound=1318388.068148, norm of subgrad 35.164138 stepsize= 1.000000
+dualbound = 3865327.710019, lowerbound=1325422.710019, norm of subgrad 1151.793692 dualbound = 3865327.710019, lowerbound=1325422.710019, norm of subgrad 34.866056 stepsize= 1.000000
+dualbound = 3865383.476840, lowerbound=1319656.476840, norm of subgrad 1149.279112 dualbound = 3865383.476840, lowerbound=1319656.476840, norm of subgrad 35.238712 stepsize= 1.000000
+dualbound = 3865430.741087, lowerbound=1321122.741087, norm of subgrad 1149.880751 dualbound = 3865430.741087, lowerbound=1321122.741087, norm of subgrad 33.915546 stepsize= 1.000000
+dualbound = 3865509.483651, lowerbound=1319900.483651, norm of subgrad 1149.346546 dualbound = 3865509.483651, lowerbound=1319900.483651, norm of subgrad 34.289103 stepsize= 1.000000
+dualbound = 3865579.650377, lowerbound=1325160.650377, norm of subgrad 1151.616972 dualbound = 3865579.650377, lowerbound=1325160.650377, norm of subgrad 33.632822 stepsize= 1.000000
+dualbound = 3865617.466300, lowerbound=1314881.466300, norm of subgrad 1147.190249 dualbound = 3865617.466300, lowerbound=1314881.466300, norm of subgrad 34.667217 stepsize= 1.000000
+dualbound = 3865638.609001, lowerbound=1322661.609001, norm of subgrad 1150.607930 dualbound = 3865638.609001, lowerbound=1322661.609001, norm of subgrad 35.470307 stepsize= 1.000000
+dualbound = 3865698.719060, lowerbound=1318319.719060, norm of subgrad 1148.688260 dualbound = 3865698.719060, lowerbound=1318319.719060, norm of subgrad 35.001572 stepsize= 1.000000
+dualbound = 3865771.100737, lowerbound=1322709.100737, norm of subgrad 1150.574248 dualbound = 3865771.100737, lowerbound=1322709.100737, norm of subgrad 34.414847 stepsize= 1.000000
+dualbound = 3865817.559548, lowerbound=1320096.559548, norm of subgrad 1149.450982 dualbound = 3865817.559548, lowerbound=1320096.559548, norm of subgrad 34.459524 stepsize= 1.000000
+dualbound = 3865850.311239, lowerbound=1317835.311239, norm of subgrad 1148.474341 dualbound = 3865850.311239, lowerbound=1317835.311239, norm of subgrad 34.507270 stepsize= 1.000000
+dualbound = 3865917.040630, lowerbound=1321633.040630, norm of subgrad 1150.113056 dualbound = 3865917.040630, lowerbound=1321633.040630, norm of subgrad 34.550389 stepsize= 1.000000
+dualbound = 3865966.677752, lowerbound=1324123.677752, norm of subgrad 1151.189245 dualbound = 3865966.677752, lowerbound=1324123.677752, norm of subgrad 34.097465 stepsize= 1.000000
+dualbound = 3866017.373778, lowerbound=1321899.373778, norm of subgrad 1150.222750 dualbound = 3866017.373778, lowerbound=1321899.373778, norm of subgrad 34.112989 stepsize= 1.000000
+dualbound = 3866072.931500, lowerbound=1321264.931500, norm of subgrad 1149.946056 dualbound = 3866072.931500, lowerbound=1321264.931500, norm of subgrad 34.154908 stepsize= 1.000000
+dualbound = 3866129.279566, lowerbound=1325025.279566, norm of subgrad 1151.576432 dualbound = 3866129.279566, lowerbound=1325025.279566, norm of subgrad 34.049201 stepsize= 1.000000
+dualbound = 3866181.874961, lowerbound=1317898.874961, norm of subgrad 1148.479375 dualbound = 3866181.874961, lowerbound=1317898.874961, norm of subgrad 34.038146 stepsize= 1.000000
+dualbound = 3866231.456030, lowerbound=1324847.456030, norm of subgrad 1151.488800 dualbound = 3866231.456030, lowerbound=1324847.456030, norm of subgrad 33.594361 stepsize= 1.000000
+dualbound = 3866271.623044, lowerbound=1320398.623044, norm of subgrad 1149.574540 dualbound = 3866271.623044, lowerbound=1320398.623044, norm of subgrad 34.105234 stepsize= 1.000000
+dualbound = 3866318.042172, lowerbound=1319445.042172, norm of subgrad 1149.166238 dualbound = 3866318.042172, lowerbound=1319445.042172, norm of subgrad 34.415391 stepsize= 1.000000
+dualbound = 3866371.678625, lowerbound=1319295.678625, norm of subgrad 1149.091675 dualbound = 3866371.678625, lowerbound=1319295.678625, norm of subgrad 34.199948 stepsize= 1.000000
+dualbound = 3866427.074441, lowerbound=1321825.074441, norm of subgrad 1150.188713 dualbound = 3866427.074441, lowerbound=1321825.074441, norm of subgrad 34.123245 stepsize= 1.000000
+dualbound = 3866481.687330, lowerbound=1319395.687330, norm of subgrad 1149.125183 dualbound = 3866481.687330, lowerbound=1319395.687330, norm of subgrad 33.876436 stepsize= 1.000000
+dualbound = 3866511.655228, lowerbound=1321649.655228, norm of subgrad 1150.134190 dualbound = 3866511.655228, lowerbound=1321649.655228, norm of subgrad 34.481414 stepsize= 1.000000
+dualbound = 3866576.454188, lowerbound=1323124.454188, norm of subgrad 1150.748215 dualbound = 3866576.454188, lowerbound=1323124.454188, norm of subgrad 34.085172 stepsize= 1.000000
+dualbound = 3866641.052699, lowerbound=1318678.052699, norm of subgrad 1148.819852 dualbound = 3866641.052699, lowerbound=1318678.052699, norm of subgrad 34.257824 stepsize= 1.000000
+dualbound = 3866672.105753, lowerbound=1318485.105753, norm of subgrad 1148.731085 dualbound = 3866672.105753, lowerbound=1318485.105753, norm of subgrad 33.601385 stepsize= 1.000000
+dualbound = 3866743.880436, lowerbound=1328116.880436, norm of subgrad 1152.901071 dualbound = 3866743.880436, lowerbound=1328116.880436, norm of subgrad 33.701256 stepsize= 1.000000
+dualbound = 3866789.453744, lowerbound=1317486.453744, norm of subgrad 1148.300245 dualbound = 3866789.453744, lowerbound=1317486.453744, norm of subgrad 33.949570 stepsize= 1.000000
+dualbound = 3866845.168039, lowerbound=1327155.168039, norm of subgrad 1152.487383 dualbound = 3866845.168039, lowerbound=1327155.168039, norm of subgrad 33.581458 stepsize= 1.000000
+dualbound = 3866908.146304, lowerbound=1316985.146304, norm of subgrad 1148.098056 dualbound = 3866908.146304, lowerbound=1316985.146304, norm of subgrad 34.741593 stepsize= 1.000000
+dualbound = 3866959.205278, lowerbound=1323285.205278, norm of subgrad 1150.826314 dualbound = 3866959.205278, lowerbound=1323285.205278, norm of subgrad 34.162245 stepsize= 1.000000
+dualbound = 3866991.690705, lowerbound=1320669.690705, norm of subgrad 1149.692868 dualbound = 3866991.690705, lowerbound=1320669.690705, norm of subgrad 34.007138 stepsize= 1.000000
+dualbound = 3867050.979863, lowerbound=1318823.979863, norm of subgrad 1148.889455 dualbound = 3867050.979863, lowerbound=1318823.979863, norm of subgrad 34.384432 stepsize= 1.000000
+dualbound = 3867101.589507, lowerbound=1326653.589507, norm of subgrad 1152.284509 dualbound = 3867101.589507, lowerbound=1326653.589507, norm of subgrad 34.008964 stepsize= 1.000000
+dualbound = 3867169.402161, lowerbound=1318403.402161, norm of subgrad 1148.697698 dualbound = 3867169.402161, lowerbound=1318403.402161, norm of subgrad 34.217140 stepsize= 1.000000
+dualbound = 3867187.840321, lowerbound=1324448.840321, norm of subgrad 1151.350008 dualbound = 3867187.840321, lowerbound=1324448.840321, norm of subgrad 34.299244 stepsize= 1.000000
+dualbound = 3867261.099311, lowerbound=1321143.099311, norm of subgrad 1149.901778 dualbound = 3867261.099311, lowerbound=1321143.099311, norm of subgrad 34.702435 stepsize= 1.000000
+dualbound = 3867286.650779, lowerbound=1318371.650779, norm of subgrad 1148.701724 dualbound = 3867286.650779, lowerbound=1318371.650779, norm of subgrad 34.198706 stepsize= 1.000000
+dualbound = 3867374.249744, lowerbound=1315541.249744, norm of subgrad 1147.453376 dualbound = 3867374.249744, lowerbound=1315541.249744, norm of subgrad 34.577434 stepsize= 1.000000
+dualbound = 3867434.554541, lowerbound=1319581.554541, norm of subgrad 1149.193872 dualbound = 3867434.554541, lowerbound=1319581.554541, norm of subgrad 33.545563 stepsize= 1.000000
+dualbound = 3867495.901291, lowerbound=1323752.901291, norm of subgrad 1151.017333 dualbound = 3867495.901291, lowerbound=1323752.901291, norm of subgrad 33.902017 stepsize= 1.000000
+dualbound = 3867504.257570, lowerbound=1321992.257570, norm of subgrad 1150.291814 dualbound = 3867504.257570, lowerbound=1321992.257570, norm of subgrad 34.458036 stepsize= 1.000000
+dualbound = 3867558.470205, lowerbound=1319919.470205, norm of subgrad 1149.366117 dualbound = 3867558.470205, lowerbound=1319919.470205, norm of subgrad 34.310532 stepsize= 1.000000
+dualbound = 3867638.593568, lowerbound=1320977.593568, norm of subgrad 1149.810242 dualbound = 3867638.593568, lowerbound=1320977.593568, norm of subgrad 34.148548 stepsize= 1.000000
+dualbound = 3867650.130642, lowerbound=1321869.130642, norm of subgrad 1150.218732 dualbound = 3867650.130642, lowerbound=1321869.130642, norm of subgrad 33.845784 stepsize= 1.000000
+dualbound = 3867718.277698, lowerbound=1318163.277698, norm of subgrad 1148.624516 dualbound = 3867718.277698, lowerbound=1318163.277698, norm of subgrad 35.258291 stepsize= 1.000000
+dualbound = 3867776.199080, lowerbound=1324027.199080, norm of subgrad 1151.147775 dualbound = 3867776.199080, lowerbound=1324027.199080, norm of subgrad 34.233337 stepsize= 1.000000
+dualbound = 3867834.494049, lowerbound=1325180.494049, norm of subgrad 1151.661189 dualbound = 3867834.494049, lowerbound=1325180.494049, norm of subgrad 34.659702 stepsize= 1.000000
+dualbound = 3867861.887532, lowerbound=1321434.887532, norm of subgrad 1150.028646 dualbound = 3867861.887532, lowerbound=1321434.887532, norm of subgrad 34.035180 stepsize= 1.000000
+dualbound = 3867946.807499, lowerbound=1321410.807499, norm of subgrad 1150.015568 dualbound = 3867946.807499, lowerbound=1321410.807499, norm of subgrad 34.783904 stepsize= 1.000000
+dualbound = 3867988.754967, lowerbound=1322609.754967, norm of subgrad 1150.534986 dualbound = 3867988.754967, lowerbound=1322609.754967, norm of subgrad 34.102016 stepsize= 1.000000
+dualbound = 3868032.928313, lowerbound=1321779.928313, norm of subgrad 1150.179085 dualbound = 3868032.928313, lowerbound=1321779.928313, norm of subgrad 34.295384 stepsize= 1.000000
+dualbound = 3868078.401078, lowerbound=1318893.401078, norm of subgrad 1148.933158 dualbound = 3868078.401078, lowerbound=1318893.401078, norm of subgrad 34.633405 stepsize= 1.000000
+dualbound = 3868121.846542, lowerbound=1319730.846542, norm of subgrad 1149.281013 dualbound = 3868121.846542, lowerbound=1319730.846542, norm of subgrad 34.050631 stepsize= 1.000000
+dualbound = 3868184.753699, lowerbound=1325264.753699, norm of subgrad 1151.707755 dualbound = 3868184.753699, lowerbound=1325264.753699, norm of subgrad 35.055772 stepsize= 1.000000
+dualbound = 3868234.029661, lowerbound=1319459.029661, norm of subgrad 1149.177110 dualbound = 3868234.029661, lowerbound=1319459.029661, norm of subgrad 34.616123 stepsize= 1.000000
+dualbound = 3868269.070149, lowerbound=1325634.070149, norm of subgrad 1151.862435 dualbound = 3868269.070149, lowerbound=1325634.070149, norm of subgrad 34.467963 stepsize= 1.000000
+dualbound = 3868332.761740, lowerbound=1312081.761740, norm of subgrad 1145.961065 dualbound = 3868332.761740, lowerbound=1312081.761740, norm of subgrad 34.766242 stepsize= 1.000000
+dualbound = 3868355.311141, lowerbound=1332993.311141, norm of subgrad 1155.056410 dualbound = 3868355.311141, lowerbound=1332993.311141, norm of subgrad 34.417283 stepsize= 1.000000
+dualbound = 3868428.261692, lowerbound=1323539.261692, norm of subgrad 1150.962320 dualbound = 3868428.261692, lowerbound=1323539.261692, norm of subgrad 35.326344 stepsize= 1.000000
+dualbound = 3868474.871714, lowerbound=1324551.871714, norm of subgrad 1151.384328 dualbound = 3868474.871714, lowerbound=1324551.871714, norm of subgrad 34.360006 stepsize= 1.000000
+dualbound = 3868540.890149, lowerbound=1316608.890149, norm of subgrad 1147.913712 dualbound = 3868540.890149, lowerbound=1316608.890149, norm of subgrad 34.103056 stepsize= 1.000000
+dualbound = 3868586.114670, lowerbound=1326869.114670, norm of subgrad 1152.378460 dualbound = 3868586.114670, lowerbound=1326869.114670, norm of subgrad 33.944433 stepsize= 1.000000
+dualbound = 3868672.210177, lowerbound=1321133.210177, norm of subgrad 1149.861822 dualbound = 3868672.210177, lowerbound=1321133.210177, norm of subgrad 33.691178 stepsize= 1.000000
+dualbound = 3868694.055653, lowerbound=1321865.055653, norm of subgrad 1150.203050 dualbound = 3868694.055653, lowerbound=1321865.055653, norm of subgrad 33.523805 stepsize= 1.000000
+dualbound = 3868752.568491, lowerbound=1321538.568491, norm of subgrad 1150.051550 dualbound = 3868752.568491, lowerbound=1321538.568491, norm of subgrad 33.741856 stepsize= 1.000000
+dualbound = 3868821.427312, lowerbound=1319066.427312, norm of subgrad 1148.976252 dualbound = 3868821.427312, lowerbound=1319066.427312, norm of subgrad 33.894820 stepsize= 1.000000
+dualbound = 3868868.343124, lowerbound=1320840.343124, norm of subgrad 1149.748817 dualbound = 3868868.343124, lowerbound=1320840.343124, norm of subgrad 33.599342 stepsize= 1.000000
+dualbound = 3868895.265629, lowerbound=1320798.265629, norm of subgrad 1149.747044 dualbound = 3868895.265629, lowerbound=1320798.265629, norm of subgrad 33.866244 stepsize= 1.000000
+dualbound = 3868937.775920, lowerbound=1319750.775920, norm of subgrad 1149.287508 dualbound = 3868937.775920, lowerbound=1319750.775920, norm of subgrad 33.963367 stepsize= 1.000000
+dualbound = 3869013.909060, lowerbound=1317626.909060, norm of subgrad 1148.344421 dualbound = 3869013.909060, lowerbound=1317626.909060, norm of subgrad 33.825037 stepsize= 1.000000
+dualbound = 3869061.442287, lowerbound=1322352.442287, norm of subgrad 1150.406208 dualbound = 3869061.442287, lowerbound=1322352.442287, norm of subgrad 33.608529 stepsize= 1.000000
+dualbound = 3869129.827544, lowerbound=1319188.827544, norm of subgrad 1149.047357 dualbound = 3869129.827544, lowerbound=1319188.827544, norm of subgrad 34.487465 stepsize= 1.000000
+dualbound = 3869149.210689, lowerbound=1320670.210689, norm of subgrad 1149.684831 dualbound = 3869149.210689, lowerbound=1320670.210689, norm of subgrad 33.531823 stepsize= 1.000000
+dualbound = 3869208.989861, lowerbound=1319315.989861, norm of subgrad 1149.123575 dualbound = 3869208.989861, lowerbound=1319315.989861, norm of subgrad 35.053947 stepsize= 1.000000
+dualbound = 3869251.082741, lowerbound=1317439.082741, norm of subgrad 1148.279619 dualbound = 3869251.082741, lowerbound=1317439.082741, norm of subgrad 33.898273 stepsize= 1.000000
+dualbound = 3869324.602872, lowerbound=1323821.602872, norm of subgrad 1151.076715 dualbound = 3869324.602872, lowerbound=1323821.602872, norm of subgrad 35.064514 stepsize= 1.000000
+dualbound = 3869369.580743, lowerbound=1318865.580743, norm of subgrad 1148.904513 dualbound = 3869369.580743, lowerbound=1318865.580743, norm of subgrad 34.073125 stepsize= 1.000000
+dualbound = 3869434.319229, lowerbound=1323044.319229, norm of subgrad 1150.722086 dualbound = 3869434.319229, lowerbound=1323044.319229, norm of subgrad 34.376423 stepsize= 1.000000
+dualbound = 3869497.704956, lowerbound=1317848.704956, norm of subgrad 1148.436635 dualbound = 3869497.704956, lowerbound=1317848.704956, norm of subgrad 33.487098 stepsize= 1.000000
+dualbound = 3869515.345233, lowerbound=1324273.345233, norm of subgrad 1151.277267 dualbound = 3869515.345233, lowerbound=1324273.345233, norm of subgrad 34.404074 stepsize= 1.000000
+dualbound = 3869536.221076, lowerbound=1321924.221076, norm of subgrad 1150.264414 dualbound = 3869536.221076, lowerbound=1321924.221076, norm of subgrad 34.711322 stepsize= 1.000000
+dualbound = 3869631.885669, lowerbound=1319878.885669, norm of subgrad 1149.348896 dualbound = 3869631.885669, lowerbound=1319878.885669, norm of subgrad 34.923697 stepsize= 1.000000
+dualbound = 3869653.727411, lowerbound=1323632.727411, norm of subgrad 1151.001619 dualbound = 3869653.727411, lowerbound=1323632.727411, norm of subgrad 34.552015 stepsize= 1.000000
+dualbound = 3869707.497785, lowerbound=1322613.497785, norm of subgrad 1150.562253 dualbound = 3869707.497785, lowerbound=1322613.497785, norm of subgrad 35.125068 stepsize= 1.000000
+dualbound = 3869741.961294, lowerbound=1322681.961294, norm of subgrad 1150.578968 dualbound = 3869741.961294, lowerbound=1322681.961294, norm of subgrad 34.416036 stepsize= 1.000000
+dualbound = 3869834.542182, lowerbound=1325669.542182, norm of subgrad 1151.871322 dualbound = 3869834.542182, lowerbound=1325669.542182, norm of subgrad 35.079636 stepsize= 1.000000
+dualbound = 3869880.017694, lowerbound=1323133.017694, norm of subgrad 1150.774964 dualbound = 3869880.017694, lowerbound=1323133.017694, norm of subgrad 34.575649 stepsize= 1.000000
+dualbound = 3869947.974225, lowerbound=1315939.974225, norm of subgrad 1147.640176 dualbound = 3869947.974225, lowerbound=1315939.974225, norm of subgrad 34.726885 stepsize= 1.000000
+dualbound = 3869984.595165, lowerbound=1321039.595165, norm of subgrad 1149.869382 dualbound = 3869984.595165, lowerbound=1321039.595165, norm of subgrad 34.592209 stepsize= 1.000000
+dualbound = 3870033.913271, lowerbound=1321064.913271, norm of subgrad 1149.855605 dualbound = 3870033.913271, lowerbound=1321064.913271, norm of subgrad 33.945811 stepsize= 1.000000
+dualbound = 3870104.451032, lowerbound=1318856.451032, norm of subgrad 1148.903151 dualbound = 3870104.451032, lowerbound=1318856.451032, norm of subgrad 34.533140 stepsize= 1.000000
+dualbound = 3870136.584387, lowerbound=1318043.584387, norm of subgrad 1148.571105 dualbound = 3870136.584387, lowerbound=1318043.584387, norm of subgrad 34.700625 stepsize= 1.000000
+dualbound = 3870186.997494, lowerbound=1321246.997494, norm of subgrad 1149.949998 dualbound = 3870186.997494, lowerbound=1321246.997494, norm of subgrad 34.473368 stepsize= 1.000000
+dualbound = 3870260.258748, lowerbound=1323300.258748, norm of subgrad 1150.838502 dualbound = 3870260.258748, lowerbound=1323300.258748, norm of subgrad 34.673639 stepsize= 1.000000
+dualbound = 3870310.868117, lowerbound=1318780.868117, norm of subgrad 1148.871998 dualbound = 3870310.868117, lowerbound=1318780.868117, norm of subgrad 34.301740 stepsize= 1.000000
+dualbound = 3870366.236136, lowerbound=1325581.236136, norm of subgrad 1151.832556 dualbound = 3870366.236136, lowerbound=1325581.236136, norm of subgrad 34.530682 stepsize= 1.000000
+dualbound = 3870414.762811, lowerbound=1319726.762811, norm of subgrad 1149.301424 dualbound = 3870414.762811, lowerbound=1319726.762811, norm of subgrad 34.864404 stepsize= 1.000000
+dualbound = 3870467.585116, lowerbound=1318098.585116, norm of subgrad 1148.560223 dualbound = 3870467.585116, lowerbound=1318098.585116, norm of subgrad 33.835223 stepsize= 1.000000
+dualbound = 3870519.317311, lowerbound=1322504.317311, norm of subgrad 1150.500029 dualbound = 3870519.317311, lowerbound=1322504.317311, norm of subgrad 34.608268 stepsize= 1.000000
+dualbound = 3870556.658013, lowerbound=1325941.658013, norm of subgrad 1151.945163 dualbound = 3870556.658013, lowerbound=1325941.658013, norm of subgrad 32.761879 stepsize= 1.000000
+dualbound = 3870644.486997, lowerbound=1318745.486997, norm of subgrad 1148.835709 dualbound = 3870644.486997, lowerbound=1318745.486997, norm of subgrad 34.144238 stepsize= 1.000000
+dualbound = 3870670.738008, lowerbound=1324232.738008, norm of subgrad 1151.212291 dualbound = 3870670.738008, lowerbound=1324232.738008, norm of subgrad 32.912779 stepsize= 1.000000
+dualbound = 3870741.507498, lowerbound=1319437.507498, norm of subgrad 1149.157738 dualbound = 3870741.507498, lowerbound=1319437.507498, norm of subgrad 34.594356 stepsize= 1.000000
+dualbound = 3870760.957691, lowerbound=1320182.957691, norm of subgrad 1149.484649 dualbound = 3870760.957691, lowerbound=1320182.957691, norm of subgrad 33.933025 stepsize= 1.000000
+dualbound = 3870829.299606, lowerbound=1317792.299606, norm of subgrad 1148.451261 dualbound = 3870829.299606, lowerbound=1317792.299606, norm of subgrad 34.876094 stepsize= 1.000000
+dualbound = 3870869.215601, lowerbound=1324455.215601, norm of subgrad 1151.353211 dualbound = 3870869.215601, lowerbound=1324455.215601, norm of subgrad 34.625366 stepsize= 1.000000
+dualbound = 3870938.078604, lowerbound=1316098.078604, norm of subgrad 1147.687274 dualbound = 3870938.078604, lowerbound=1316098.078604, norm of subgrad 34.012689 stepsize= 1.000000
+dualbound = 3871002.699979, lowerbound=1327096.699979, norm of subgrad 1152.452906 dualbound = 3871002.699979, lowerbound=1327096.699979, norm of subgrad 33.400919 stepsize= 1.000000
+dualbound = 3871062.296727, lowerbound=1319946.296727, norm of subgrad 1149.366476 dualbound = 3871062.296727, lowerbound=1319946.296727, norm of subgrad 34.008775 stepsize= 1.000000
+dualbound = 3871098.416692, lowerbound=1321416.416692, norm of subgrad 1150.000181 dualbound = 3871098.416692, lowerbound=1321416.416692, norm of subgrad 33.468193 stepsize= 1.000000
+dualbound = 3871145.463545, lowerbound=1321344.463545, norm of subgrad 1149.980636 dualbound = 3871145.463545, lowerbound=1321344.463545, norm of subgrad 34.030087 stepsize= 1.000000
+dualbound = 3871183.664176, lowerbound=1318345.664176, norm of subgrad 1148.696942 dualbound = 3871183.664176, lowerbound=1318345.664176, norm of subgrad 34.600587 stepsize= 1.000000
+dualbound = 3871248.164819, lowerbound=1316739.164819, norm of subgrad 1147.978730 dualbound = 3871248.164819, lowerbound=1316739.164819, norm of subgrad 34.358414 stepsize= 1.000000
+dualbound = 3871291.275772, lowerbound=1327418.275772, norm of subgrad 1152.635795 dualbound = 3871291.275772, lowerbound=1327418.275772, norm of subgrad 34.555911 stepsize= 1.000000
+dualbound = 3871350.221580, lowerbound=1316393.221580, norm of subgrad 1147.835451 dualbound = 3871350.221580, lowerbound=1316393.221580, norm of subgrad 34.524568 stepsize= 1.000000
+dualbound = 3871375.561144, lowerbound=1320009.561144, norm of subgrad 1149.446633 dualbound = 3871375.561144, lowerbound=1320009.561144, norm of subgrad 35.261020 stepsize= 1.000000
+dualbound = 3871440.833162, lowerbound=1322020.833162, norm of subgrad 1150.274243 dualbound = 3871440.833162, lowerbound=1322020.833162, norm of subgrad 34.282241 stepsize= 1.000000
+dualbound = 3871504.982035, lowerbound=1324737.982035, norm of subgrad 1151.463409 dualbound = 3871504.982035, lowerbound=1324737.982035, norm of subgrad 34.556459 stepsize= 1.000000
+dualbound = 3871552.966407, lowerbound=1325453.966407, norm of subgrad 1151.751695 dualbound = 3871552.966407, lowerbound=1325453.966407, norm of subgrad 33.555691 stepsize= 1.000000
+dualbound = 3871635.907291, lowerbound=1318852.907291, norm of subgrad 1148.862441 dualbound = 3871635.907291, lowerbound=1318852.907291, norm of subgrad 33.390730 stepsize= 1.000000
+dualbound = 3871648.293204, lowerbound=1321943.293204, norm of subgrad 1150.253578 dualbound = 3871648.293204, lowerbound=1321943.293204, norm of subgrad 33.946810 stepsize= 1.000000
+dualbound = 3871698.991460, lowerbound=1316516.991460, norm of subgrad 1147.872812 dualbound = 3871698.991460, lowerbound=1316516.991460, norm of subgrad 33.848165 stepsize= 1.000000
+dualbound = 3871784.977956, lowerbound=1326489.977956, norm of subgrad 1152.218720 dualbound = 3871784.977956, lowerbound=1326489.977956, norm of subgrad 34.698509 stepsize= 1.000000
+dualbound = 3871801.582481, lowerbound=1317396.582481, norm of subgrad 1148.263725 dualbound = 3871801.582481, lowerbound=1317396.582481, norm of subgrad 33.609590 stepsize= 1.000000
+dualbound = 3871872.012794, lowerbound=1324971.012794, norm of subgrad 1151.574146 dualbound = 3871872.012794, lowerbound=1324971.012794, norm of subgrad 34.963271 stepsize= 1.000000
+dualbound = 3871920.453543, lowerbound=1317839.453543, norm of subgrad 1148.453505 dualbound = 3871920.453543, lowerbound=1317839.453543, norm of subgrad 33.977062 stepsize= 1.000000
+dualbound = 3871988.104364, lowerbound=1317350.104364, norm of subgrad 1148.247841 dualbound = 3871988.104364, lowerbound=1317350.104364, norm of subgrad 34.505809 stepsize= 1.000000
+dualbound = 3872020.113632, lowerbound=1326979.113632, norm of subgrad 1152.456556 dualbound = 3872020.113632, lowerbound=1326979.113632, norm of subgrad 34.770811 stepsize= 1.000000
+dualbound = 3872064.636432, lowerbound=1320033.636432, norm of subgrad 1149.409690 dualbound = 3872064.636432, lowerbound=1320033.636432, norm of subgrad 33.963551 stepsize= 1.000000
+dualbound = 3872140.586063, lowerbound=1324130.586063, norm of subgrad 1151.167923 dualbound = 3872140.586063, lowerbound=1324130.586063, norm of subgrad 33.659317 stepsize= 1.000000
+dualbound = 3872187.025710, lowerbound=1320564.025710, norm of subgrad 1149.646479 dualbound = 3872187.025710, lowerbound=1320564.025710, norm of subgrad 34.197071 stepsize= 1.000000
+dualbound = 3872235.944813, lowerbound=1317798.944813, norm of subgrad 1148.434998 dualbound = 3872235.944813, lowerbound=1317798.944813, norm of subgrad 33.954662 stepsize= 1.000000
+dualbound = 3872277.018334, lowerbound=1322351.018334, norm of subgrad 1150.415585 dualbound = 3872277.018334, lowerbound=1322351.018334, norm of subgrad 33.853708 stepsize= 1.000000
+dualbound = 3872314.032880, lowerbound=1323445.032880, norm of subgrad 1150.912696 dualbound = 3872314.032880, lowerbound=1323445.032880, norm of subgrad 34.525564 stepsize= 1.000000
+dualbound = 3872379.908090, lowerbound=1318834.908090, norm of subgrad 1148.863747 dualbound = 3872379.908090, lowerbound=1318834.908090, norm of subgrad 33.449592 stepsize= 1.000000
+dualbound = 3872441.539949, lowerbound=1323820.539949, norm of subgrad 1151.055403 dualbound = 3872441.539949, lowerbound=1323820.539949, norm of subgrad 34.199881 stepsize= 1.000000
+dualbound = 3872484.522540, lowerbound=1316537.522540, norm of subgrad 1147.904840 dualbound = 3872484.522540, lowerbound=1316537.522540, norm of subgrad 34.510616 stepsize= 1.000000
+dualbound = 3872529.510040, lowerbound=1319564.510040, norm of subgrad 1149.213431 dualbound = 3872529.510040, lowerbound=1319564.510040, norm of subgrad 34.234303 stepsize= 1.000000
+dualbound = 3872584.044426, lowerbound=1319985.044426, norm of subgrad 1149.394208 dualbound = 3872584.044426, lowerbound=1319985.044426, norm of subgrad 34.300647 stepsize= 1.000000
+dualbound = 3872626.308389, lowerbound=1328031.308389, norm of subgrad 1152.899522 dualbound = 3872626.308389, lowerbound=1328031.308389, norm of subgrad 34.471205 stepsize= 1.000000
+dualbound = 3872697.481684, lowerbound=1316075.481684, norm of subgrad 1147.693549 dualbound = 3872697.481684, lowerbound=1316075.481684, norm of subgrad 34.585738 stepsize= 1.000000
+dualbound = 3872758.254884, lowerbound=1319352.254884, norm of subgrad 1149.093232 dualbound = 3872758.254884, lowerbound=1319352.254884, norm of subgrad 33.522727 stepsize= 1.000000
+dualbound = 3872811.676763, lowerbound=1322407.676763, norm of subgrad 1150.431518 dualbound = 3872811.676763, lowerbound=1322407.676763, norm of subgrad 33.740508 stepsize= 1.000000
+dualbound = 3872849.785269, lowerbound=1327178.785269, norm of subgrad 1152.515416 dualbound = 3872849.785269, lowerbound=1327178.785269, norm of subgrad 33.927990 stepsize= 1.000000
+dualbound = 3872919.790028, lowerbound=1313169.790028, norm of subgrad 1146.392075 dualbound = 3872919.790028, lowerbound=1313169.790028, norm of subgrad 33.391687 stepsize= 1.000000
+dualbound = 3872973.747181, lowerbound=1322448.747181, norm of subgrad 1150.443283 dualbound = 3872973.747181, lowerbound=1322448.747181, norm of subgrad 33.540381 stepsize= 1.000000
+dualbound = 3873020.443823, lowerbound=1324583.443823, norm of subgrad 1151.388485 dualbound = 3873020.443823, lowerbound=1324583.443823, norm of subgrad 34.039633 stepsize= 1.000000
+dualbound = 3873049.116094, lowerbound=1325488.116094, norm of subgrad 1151.795605 dualbound = 3873049.116094, lowerbound=1325488.116094, norm of subgrad 34.258901 stepsize= 1.000000
+dualbound = 3873117.519832, lowerbound=1324350.519832, norm of subgrad 1151.285160 dualbound = 3873117.519832, lowerbound=1324350.519832, norm of subgrad 34.284162 stepsize= 1.000000
+dualbound = 3873186.744834, lowerbound=1327985.744834, norm of subgrad 1152.863281 dualbound = 3873186.744834, lowerbound=1327985.744834, norm of subgrad 34.310713 stepsize= 1.000000
+dualbound = 3873224.385940, lowerbound=1317935.385940, norm of subgrad 1148.497447 dualbound = 3873224.385940, lowerbound=1317935.385940, norm of subgrad 33.891608 stepsize= 1.000000
+dualbound = 3873267.359964, lowerbound=1317630.359964, norm of subgrad 1148.377272 dualbound = 3873267.359964, lowerbound=1317630.359964, norm of subgrad 34.394389 stepsize= 1.000000
+dualbound = 3873331.178540, lowerbound=1319187.178540, norm of subgrad 1149.027493 dualbound = 3873331.178540, lowerbound=1319187.178540, norm of subgrad 33.776006 stepsize= 1.000000
+dualbound = 3873371.474604, lowerbound=1324765.474604, norm of subgrad 1151.471873 dualbound = 3873371.474604, lowerbound=1324765.474604, norm of subgrad 34.092463 stepsize= 1.000000
+dualbound = 3873420.380246, lowerbound=1323469.380246, norm of subgrad 1150.900682 dualbound = 3873420.380246, lowerbound=1323469.380246, norm of subgrad 33.939735 stepsize= 1.000000
+dualbound = 3873472.639444, lowerbound=1321236.639444, norm of subgrad 1149.962886 dualbound = 3873472.639444, lowerbound=1321236.639444, norm of subgrad 35.075051 stepsize= 1.000000
+dualbound = 3873520.211552, lowerbound=1319018.211552, norm of subgrad 1148.972677 dualbound = 3873520.211552, lowerbound=1319018.211552, norm of subgrad 34.169754 stepsize= 1.000000
+dualbound = 3873567.493729, lowerbound=1326750.493729, norm of subgrad 1152.345215 dualbound = 3873567.493729, lowerbound=1326750.493729, norm of subgrad 34.587312 stepsize= 1.000000
+dualbound = 3873632.831587, lowerbound=1319665.831587, norm of subgrad 1149.250117 dualbound = 3873632.831587, lowerbound=1319665.831587, norm of subgrad 34.283201 stepsize= 1.000000
+dualbound = 3873692.411863, lowerbound=1315672.411863, norm of subgrad 1147.498763 dualbound = 3873692.411863, lowerbound=1315672.411863, norm of subgrad 33.772478 stepsize= 1.000000
+dualbound = 3873759.228737, lowerbound=1324895.228737, norm of subgrad 1151.512583 dualbound = 3873759.228737, lowerbound=1324895.228737, norm of subgrad 33.953157 stepsize= 1.000000
+dualbound = 3873785.122638, lowerbound=1324010.122638, norm of subgrad 1151.173802 dualbound = 3873785.122638, lowerbound=1324010.122638, norm of subgrad 34.884006 stepsize= 1.000000
+dualbound = 3873829.654101, lowerbound=1316942.654101, norm of subgrad 1148.084777 dualbound = 3873829.654101, lowerbound=1316942.654101, norm of subgrad 34.648686 stepsize= 1.000000
+dualbound = 3873874.911556, lowerbound=1323134.911556, norm of subgrad 1150.776221 dualbound = 3873874.911556, lowerbound=1323134.911556, norm of subgrad 34.586955 stepsize= 1.000000
+dualbound = 3873942.419221, lowerbound=1322435.419221, norm of subgrad 1150.452267 dualbound = 3873942.419221, lowerbound=1322435.419221, norm of subgrad 34.241899 stepsize= 1.000000
+dualbound = 3873996.952966, lowerbound=1322578.952966, norm of subgrad 1150.529857 dualbound = 3873996.952966, lowerbound=1322578.952966, norm of subgrad 34.562028 stepsize= 1.000000
+dualbound = 3874041.180375, lowerbound=1322001.180375, norm of subgrad 1150.273959 dualbound = 3874041.180375, lowerbound=1322001.180375, norm of subgrad 34.252407 stepsize= 1.000000
+dualbound = 3874090.170380, lowerbound=1325750.170380, norm of subgrad 1151.889392 dualbound = 3874090.170380, lowerbound=1325750.170380, norm of subgrad 33.882001 stepsize= 1.000000
+dualbound = 3874158.710668, lowerbound=1315349.710668, norm of subgrad 1147.379061 dualbound = 3874158.710668, lowerbound=1315349.710668, norm of subgrad 34.605495 stepsize= 1.000000
+dualbound = 3874193.300872, lowerbound=1321983.300872, norm of subgrad 1150.265318 dualbound = 3874193.300872, lowerbound=1321983.300872, norm of subgrad 34.082110 stepsize= 1.000000
+dualbound = 3874265.120648, lowerbound=1323046.120648, norm of subgrad 1150.710702 dualbound = 3874265.120648, lowerbound=1323046.120648, norm of subgrad 34.070805 stepsize= 1.000000
+dualbound = 3874295.082429, lowerbound=1319545.082429, norm of subgrad 1149.211070 dualbound = 3874295.082429, lowerbound=1319545.082429, norm of subgrad 34.219319 stepsize= 1.000000
+dualbound = 3874342.713187, lowerbound=1317127.713187, norm of subgrad 1148.174513 dualbound = 3874342.713187, lowerbound=1317127.713187, norm of subgrad 34.994725 stepsize= 1.000000
+dualbound = 3874376.702112, lowerbound=1324796.702112, norm of subgrad 1151.481091 dualbound = 3874376.702112, lowerbound=1324796.702112, norm of subgrad 33.852458 stepsize= 1.000000
+dualbound = 3874471.271336, lowerbound=1317409.271336, norm of subgrad 1148.259235 dualbound = 3874471.271336, lowerbound=1317409.271336, norm of subgrad 34.417571 stepsize= 1.000000
+dualbound = 3874507.314015, lowerbound=1323583.314015, norm of subgrad 1150.961474 dualbound = 3874507.314015, lowerbound=1323583.314015, norm of subgrad 34.132722 stepsize= 1.000000
+dualbound = 3874554.740880, lowerbound=1324823.740880, norm of subgrad 1151.498042 dualbound = 3874554.740880, lowerbound=1324823.740880, norm of subgrad 34.226114 stepsize= 1.000000
+dualbound = 3874618.568851, lowerbound=1319006.568851, norm of subgrad 1148.983711 dualbound = 3874618.568851, lowerbound=1319006.568851, norm of subgrad 34.940349 stepsize= 1.000000
+dualbound = 3874668.632085, lowerbound=1315973.632085, norm of subgrad 1147.656147 dualbound = 3874668.632085, lowerbound=1315973.632085, norm of subgrad 34.511784 stepsize= 1.000000
+dualbound = 3874706.503855, lowerbound=1323314.503855, norm of subgrad 1150.845560 dualbound = 3874706.503855, lowerbound=1323314.503855, norm of subgrad 34.188767 stepsize= 1.000000
+dualbound = 3874752.176311, lowerbound=1320504.176311, norm of subgrad 1149.635671 dualbound = 3874752.176311, lowerbound=1320504.176311, norm of subgrad 34.693983 stepsize= 1.000000
+dualbound = 3874796.614324, lowerbound=1324510.614324, norm of subgrad 1151.402021 dualbound = 3874796.614324, lowerbound=1324510.614324, norm of subgrad 35.502648 stepsize= 1.000000
+dualbound = 3874864.531764, lowerbound=1325447.531764, norm of subgrad 1151.785367 dualbound = 3874864.531764, lowerbound=1325447.531764, norm of subgrad 35.070179 stepsize= 1.000000
+dualbound = 3874914.727653, lowerbound=1319481.727653, norm of subgrad 1149.190901 dualbound = 3874914.727653, lowerbound=1319481.727653, norm of subgrad 34.759112 stepsize= 1.000000
+dualbound = 3874987.071480, lowerbound=1321147.071480, norm of subgrad 1149.898287 dualbound = 3874987.071480, lowerbound=1321147.071480, norm of subgrad 34.515849 stepsize= 1.000000
+dualbound = 3875036.580616, lowerbound=1322297.580616, norm of subgrad 1150.378886 dualbound = 3875036.580616, lowerbound=1322297.580616, norm of subgrad 33.518788 stepsize= 1.000000
+dualbound = 3875087.061613, lowerbound=1318316.061613, norm of subgrad 1148.660116 dualbound = 3875087.061613, lowerbound=1318316.061613, norm of subgrad 33.977654 stepsize= 1.000000
+dualbound = 3875137.558397, lowerbound=1319577.558397, norm of subgrad 1149.238686 dualbound = 3875137.558397, lowerbound=1319577.558397, norm of subgrad 34.964221 stepsize= 1.000000
+dualbound = 3875168.690520, lowerbound=1324290.690520, norm of subgrad 1151.268731 dualbound = 3875168.690520, lowerbound=1324290.690520, norm of subgrad 34.060712 stepsize= 1.000000
+dualbound = 3875256.237011, lowerbound=1319629.237011, norm of subgrad 1149.235501 dualbound = 3875256.237011, lowerbound=1319629.237011, norm of subgrad 34.648903 stepsize= 1.000000
+dualbound = 3875280.569694, lowerbound=1320217.569694, norm of subgrad 1149.487525 dualbound = 3875280.569694, lowerbound=1320217.569694, norm of subgrad 33.590664 stepsize= 1.000000
+dualbound = 3875336.844398, lowerbound=1325048.844398, norm of subgrad 1151.607504 dualbound = 3875336.844398, lowerbound=1325048.844398, norm of subgrad 34.745859 stepsize= 1.000000
+dualbound = 3875390.409835, lowerbound=1319442.409835, norm of subgrad 1149.148994 dualbound = 3875390.409835, lowerbound=1319442.409835, norm of subgrad 33.978897 stepsize= 1.000000
+dualbound = 3875437.793779, lowerbound=1320727.793779, norm of subgrad 1149.703350 dualbound = 3875437.793779, lowerbound=1320727.793779, norm of subgrad 33.725123 stepsize= 1.000000
+dualbound = 3875499.860275, lowerbound=1327229.860275, norm of subgrad 1152.534104 dualbound = 3875499.860275, lowerbound=1327229.860275, norm of subgrad 34.162355 stepsize= 1.000000
+dualbound = 3875554.659005, lowerbound=1318470.659005, norm of subgrad 1148.749171 dualbound = 3875554.659005, lowerbound=1318470.659005, norm of subgrad 34.767783 stepsize= 1.000000
+dualbound = 3875602.818339, lowerbound=1322780.818339, norm of subgrad 1150.616278 dualbound = 3875602.818339, lowerbound=1322780.818339, norm of subgrad 34.426143 stepsize= 1.000000
+dualbound = 3875648.278891, lowerbound=1322859.278891, norm of subgrad 1150.653414 dualbound = 3875648.278891, lowerbound=1322859.278891, norm of subgrad 34.488557 stepsize= 1.000000
+dualbound = 3875716.291262, lowerbound=1319118.291262, norm of subgrad 1149.021014 dualbound = 3875716.291262, lowerbound=1319118.291262, norm of subgrad 34.626758 stepsize= 1.000000
+dualbound = 3875750.058537, lowerbound=1327319.058537, norm of subgrad 1152.604034 dualbound = 3875750.058537, lowerbound=1327319.058537, norm of subgrad 34.796081 stepsize= 1.000000
+dualbound = 3875787.807558, lowerbound=1320570.807558, norm of subgrad 1149.660736 dualbound = 3875787.807558, lowerbound=1320570.807558, norm of subgrad 34.449224 stepsize= 1.000000
+dualbound = 3875860.128231, lowerbound=1318081.128231, norm of subgrad 1148.567860 dualbound = 3875860.128231, lowerbound=1318081.128231, norm of subgrad 34.631210 stepsize= 1.000000
+dualbound = 3875917.045564, lowerbound=1321341.045564, norm of subgrad 1149.999585 dualbound = 3875917.045564, lowerbound=1321341.045564, norm of subgrad 34.855664 stepsize= 1.000000
+dualbound = 3875945.035127, lowerbound=1324704.035127, norm of subgrad 1151.430430 dualbound = 3875945.035127, lowerbound=1324704.035127, norm of subgrad 33.406430 stepsize= 1.000000
+dualbound = 3876036.276860, lowerbound=1317403.276860, norm of subgrad 1148.260544 dualbound = 3876036.276860, lowerbound=1317403.276860, norm of subgrad 34.499880 stepsize= 1.000000
+dualbound = 3876080.844828, lowerbound=1329008.844828, norm of subgrad 1153.292610 dualbound = 3876080.844828, lowerbound=1329008.844828, norm of subgrad 33.459946 stepsize= 1.000000
+dualbound = 3876136.113696, lowerbound=1315274.113696, norm of subgrad 1147.357884 dualbound = 3876136.113696, lowerbound=1315274.113696, norm of subgrad 34.803288 stepsize= 1.000000
+dualbound = 3876158.178692, lowerbound=1320813.178692, norm of subgrad 1149.758748 dualbound = 3876158.178692, lowerbound=1320813.178692, norm of subgrad 33.971532 stepsize= 1.000000
+dualbound = 3876226.787699, lowerbound=1319613.787699, norm of subgrad 1149.234871 dualbound = 3876226.787699, lowerbound=1319613.787699, norm of subgrad 34.577580 stepsize= 1.000000
+dualbound = 3876280.209756, lowerbound=1321802.209756, norm of subgrad 1150.185294 dualbound = 3876280.209756, lowerbound=1321802.209756, norm of subgrad 34.313584 stepsize= 1.000000
+dualbound = 3876347.367580, lowerbound=1317950.367580, norm of subgrad 1148.508323 dualbound = 3876347.367580, lowerbound=1317950.367580, norm of subgrad 34.469665 stepsize= 1.000000
+dualbound = 3876373.887779, lowerbound=1324774.887779, norm of subgrad 1151.488119 dualbound = 3876373.887779, lowerbound=1324774.887779, norm of subgrad 34.300440 stepsize= 1.000000
+dualbound = 3876447.217409, lowerbound=1322106.217409, norm of subgrad 1150.311791 dualbound = 3876447.217409, lowerbound=1322106.217409, norm of subgrad 34.414091 stepsize= 1.000000
+dualbound = 3876497.752259, lowerbound=1320152.752259, norm of subgrad 1149.441931 dualbound = 3876497.752259, lowerbound=1320152.752259, norm of subgrad 33.384650 stepsize= 1.000000
+dualbound = 3876566.188043, lowerbound=1323936.188043, norm of subgrad 1151.097384 dualbound = 3876566.188043, lowerbound=1323936.188043, norm of subgrad 34.021108 stepsize= 1.000000
+dualbound = 3876598.872586, lowerbound=1320106.872586, norm of subgrad 1149.448508 dualbound = 3876598.872586, lowerbound=1320106.872586, norm of subgrad 34.024764 stepsize= 1.000000
+dualbound = 3876653.489273, lowerbound=1320430.489273, norm of subgrad 1149.597534 dualbound = 3876653.489273, lowerbound=1320430.489273, norm of subgrad 34.621044 stepsize= 1.000000
+dualbound = 3876706.726751, lowerbound=1320009.726751, norm of subgrad 1149.407120 dualbound = 3876706.726751, lowerbound=1320009.726751, norm of subgrad 34.354585 stepsize= 1.000000
+dualbound = 3876761.827224, lowerbound=1325946.827224, norm of subgrad 1151.959560 dualbound = 3876761.827224, lowerbound=1325946.827224, norm of subgrad 33.452959 stepsize= 1.000000
+dualbound = 3876797.291941, lowerbound=1318963.291941, norm of subgrad 1148.953129 dualbound = 3876797.291941, lowerbound=1318963.291941, norm of subgrad 34.138903 stepsize= 1.000000
+dualbound = 3876849.459877, lowerbound=1323794.459877, norm of subgrad 1151.044943 dualbound = 3876849.459877, lowerbound=1323794.459877, norm of subgrad 34.090584 stepsize= 1.000000
+dualbound = 3876904.703816, lowerbound=1322217.703816, norm of subgrad 1150.335474 dualbound = 3876904.703816, lowerbound=1322217.703816, norm of subgrad 33.305314 stepsize= 1.000000
+dualbound = 3876986.059718, lowerbound=1323374.059718, norm of subgrad 1150.843630 dualbound = 3876986.059718, lowerbound=1323374.059718, norm of subgrad 33.887400 stepsize= 1.000000
+dualbound = 3876986.196587, lowerbound=1328992.196587, norm of subgrad 1153.298832 dualbound = 3876986.196587, lowerbound=1328992.196587, norm of subgrad 33.258636 stepsize= 1.000000
+dualbound = 3877048.635084, lowerbound=1317341.635084, norm of subgrad 1148.247637 dualbound = 3877048.635084, lowerbound=1317341.635084, norm of subgrad 34.546179 stepsize= 1.000000
+dualbound = 3877072.676915, lowerbound=1318662.676915, norm of subgrad 1148.851895 dualbound = 3877072.676915, lowerbound=1318662.676915, norm of subgrad 34.957715 stepsize= 1.000000
+dualbound = 3877137.510571, lowerbound=1321978.510571, norm of subgrad 1150.262801 dualbound = 3877137.510571, lowerbound=1321978.510571, norm of subgrad 34.508458 stepsize= 1.000000
+dualbound = 3877216.732482, lowerbound=1317515.732483, norm of subgrad 1148.346086 dualbound = 3877216.732482, lowerbound=1317515.732483, norm of subgrad 35.527763 stepsize= 1.000000
+dualbound = 3877237.921608, lowerbound=1319350.921608, norm of subgrad 1149.119629 dualbound = 3877237.921608, lowerbound=1319350.921608, norm of subgrad 33.855415 stepsize= 1.000000
+dualbound = 3877307.432544, lowerbound=1327318.432544, norm of subgrad 1152.562550 dualbound = 3877307.432544, lowerbound=1327318.432544, norm of subgrad 33.933920 stepsize= 1.000000
+dualbound = 3877382.848815, lowerbound=1320487.848815, norm of subgrad 1149.583772 dualbound = 3877382.848815, lowerbound=1320487.848815, norm of subgrad 33.621664 stepsize= 1.000000
+dualbound = 3877432.756882, lowerbound=1315864.756882, norm of subgrad 1147.575600 dualbound = 3877432.756882, lowerbound=1315864.756882, norm of subgrad 33.390239 stepsize= 1.000000
+dualbound = 3877470.541609, lowerbound=1321567.541609, norm of subgrad 1150.068060 dualbound = 3877470.541609, lowerbound=1321567.541609, norm of subgrad 33.567614 stepsize= 1.000000
+dualbound = 3877502.019282, lowerbound=1321974.019282, norm of subgrad 1150.267369 dualbound = 3877502.019282, lowerbound=1321974.019282, norm of subgrad 34.241461 stepsize= 1.000000
+dualbound = 3877570.703390, lowerbound=1317092.703390, norm of subgrad 1148.147509 dualbound = 3877570.703390, lowerbound=1317092.703390, norm of subgrad 34.909656 stepsize= 1.000000
+dualbound = 3877588.424839, lowerbound=1321870.424839, norm of subgrad 1150.247549 dualbound = 3877588.424839, lowerbound=1321870.424839, norm of subgrad 34.881535 stepsize= 1.000000
+dualbound = 3877674.142734, lowerbound=1321507.142734, norm of subgrad 1150.052670 dualbound = 3877674.142734, lowerbound=1321507.142734, norm of subgrad 34.636944 stepsize= 1.000000
+dualbound = 3877712.950385, lowerbound=1322116.950385, norm of subgrad 1150.323411 dualbound = 3877712.950385, lowerbound=1322116.950385, norm of subgrad 34.143926 stepsize= 1.000000
+dualbound = 3877780.463355, lowerbound=1325021.463355, norm of subgrad 1151.576512 dualbound = 3877780.463355, lowerbound=1325021.463355, norm of subgrad 34.271168 stepsize= 1.000000
+dualbound = 3877828.299382, lowerbound=1322856.299382, norm of subgrad 1150.634738 dualbound = 3877828.299382, lowerbound=1322856.299382, norm of subgrad 33.938710 stepsize= 1.000000
+dualbound = 3877898.363339, lowerbound=1319573.363339, norm of subgrad 1149.229465 dualbound = 3877898.363339, lowerbound=1319573.363339, norm of subgrad 35.000914 stepsize= 1.000000
+dualbound = 3877933.481976, lowerbound=1321444.481976, norm of subgrad 1150.019775 dualbound = 3877933.481976, lowerbound=1321444.481976, norm of subgrad 33.706359 stepsize= 1.000000
+dualbound = 3878000.593136, lowerbound=1327208.593136, norm of subgrad 1152.544400 dualbound = 3878000.593136, lowerbound=1327208.593136, norm of subgrad 34.887120 stepsize= 1.000000
+dualbound = 3878014.051619, lowerbound=1319069.051619, norm of subgrad 1149.001328 dualbound = 3878014.051619, lowerbound=1319069.051619, norm of subgrad 33.888914 stepsize= 1.000000
+dualbound = 3878104.075148, lowerbound=1322874.075148, norm of subgrad 1150.637247 dualbound = 3878104.075148, lowerbound=1322874.075148, norm of subgrad 34.380569 stepsize= 1.000000
+dualbound = 3878140.723862, lowerbound=1325597.723862, norm of subgrad 1151.853169 dualbound = 3878140.723862, lowerbound=1325597.723862, norm of subgrad 34.708050 stepsize= 1.000000
+dualbound = 3878178.145152, lowerbound=1317996.145152, norm of subgrad 1148.551760 dualbound = 3878178.145152, lowerbound=1317996.145152, norm of subgrad 34.819840 stepsize= 1.000000
+dualbound = 3878235.382261, lowerbound=1327272.382261, norm of subgrad 1152.540838 dualbound = 3878235.382261, lowerbound=1327272.382261, norm of subgrad 33.693280 stepsize= 1.000000
+dualbound = 3878300.534936, lowerbound=1318216.534936, norm of subgrad 1148.613310 dualbound = 3878300.534936, lowerbound=1318216.534936, norm of subgrad 34.075690 stepsize= 1.000000
+dualbound = 3878350.094877, lowerbound=1320090.094877, norm of subgrad 1149.438600 dualbound = 3878350.094877, lowerbound=1320090.094877, norm of subgrad 34.184206 stepsize= 1.000000
+dualbound = 3878403.573531, lowerbound=1323630.573531, norm of subgrad 1150.983307 dualbound = 3878403.573531, lowerbound=1323630.573531, norm of subgrad 34.430781 stepsize= 1.000000
+dualbound = 3878447.903206, lowerbound=1320658.903206, norm of subgrad 1149.688611 dualbound = 3878447.903206, lowerbound=1320658.903206, norm of subgrad 34.195463 stepsize= 1.000000
+dualbound = 3878497.188440, lowerbound=1321917.188440, norm of subgrad 1150.235275 dualbound = 3878497.188440, lowerbound=1321917.188440, norm of subgrad 34.253251 stepsize= 1.000000
+dualbound = 3878555.390787, lowerbound=1325573.390787, norm of subgrad 1151.815693 dualbound = 3878555.390787, lowerbound=1325573.390787, norm of subgrad 34.120410 stepsize= 1.000000
+dualbound = 3878604.926743, lowerbound=1322786.926743, norm of subgrad 1150.649350 dualbound = 3878604.926743, lowerbound=1322786.926743, norm of subgrad 35.447651 stepsize= 1.000000
+dualbound = 3878625.488344, lowerbound=1319870.488344, norm of subgrad 1149.367865 dualbound = 3878625.488344, lowerbound=1319870.488344, norm of subgrad 34.591352 stepsize= 1.000000
+dualbound = 3878715.484032, lowerbound=1325306.484032, norm of subgrad 1151.699824 dualbound = 3878715.484032, lowerbound=1325306.484032, norm of subgrad 34.583171 stepsize= 1.000000
+dualbound = 3878775.451570, lowerbound=1322548.451570, norm of subgrad 1150.494872 dualbound = 3878775.451570, lowerbound=1322548.451570, norm of subgrad 33.911171 stepsize= 1.000000
+dualbound = 3878832.168603, lowerbound=1320392.168603, norm of subgrad 1149.531717 dualbound = 3878832.168603, lowerbound=1320392.168603, norm of subgrad 32.980555 stepsize= 1.000000
+dualbound = 3878882.208094, lowerbound=1320942.208094, norm of subgrad 1149.790941 dualbound = 3878882.208094, lowerbound=1320942.208094, norm of subgrad 33.571409 stepsize= 1.000000
+dualbound = 3878931.079888, lowerbound=1321372.079888, norm of subgrad 1149.984382 dualbound = 3878931.079888, lowerbound=1321372.079888, norm of subgrad 33.776794 stepsize= 1.000000
+dualbound = 3878962.395556, lowerbound=1321502.395556, norm of subgrad 1150.051475 dualbound = 3878962.395556, lowerbound=1321502.395556, norm of subgrad 33.872048 stepsize= 1.000000
+dualbound = 3879042.651577, lowerbound=1324706.651577, norm of subgrad 1151.448501 dualbound = 3879042.651577, lowerbound=1324706.651577, norm of subgrad 34.745590 stepsize= 1.000000
+dualbound = 3879051.573761, lowerbound=1322744.573761, norm of subgrad 1150.600962 dualbound = 3879051.573761, lowerbound=1322744.573761, norm of subgrad 33.866240 stepsize= 1.000000
+dualbound = 3879122.306569, lowerbound=1321786.306569, norm of subgrad 1150.203159 dualbound = 3879122.306569, lowerbound=1321786.306569, norm of subgrad 35.379836 stepsize= 1.000000
+dualbound = 3879162.644217, lowerbound=1326085.644217, norm of subgrad 1152.047154 dualbound = 3879162.644217, lowerbound=1326085.644217, norm of subgrad 34.166323 stepsize= 1.000000
+dualbound = 3879242.575284, lowerbound=1325806.575284, norm of subgrad 1151.896512 dualbound = 3879242.575284, lowerbound=1325806.575284, norm of subgrad 33.748053 stepsize= 1.000000
+dualbound = 3879278.776051, lowerbound=1316756.776051, norm of subgrad 1147.987707 dualbound = 3879278.776051, lowerbound=1316756.776051, norm of subgrad 33.988245 stepsize= 1.000000
+dualbound = 3879328.605160, lowerbound=1325458.605160, norm of subgrad 1151.772810 dualbound = 3879328.605160, lowerbound=1325458.605160, norm of subgrad 34.231990 stepsize= 1.000000
+dualbound = 3879372.152775, lowerbound=1323655.152775, norm of subgrad 1150.970526 dualbound = 3879372.152775, lowerbound=1323655.152775, norm of subgrad 33.489515 stepsize= 1.000000
+dualbound = 3879456.078501, lowerbound=1321958.078501, norm of subgrad 1150.256527 dualbound = 3879456.078501, lowerbound=1321958.078501, norm of subgrad 34.870127 stepsize= 1.000000
+dualbound = 3879443.478676, lowerbound=1322658.478676, norm of subgrad 1150.555291
\ No newline at end of file
diff --git a/first.ipynb b/first.ipynb
index 28d54ea7745f1796d86353d2481c8273c6c5fc58..b9dc4a1e7ff86e8f5d6fd300b6fe19597fcdd734 100644
--- a/first.ipynb
+++ b/first.ipynb
@@ -2,7 +2,7 @@
"cells": [
{
"cell_type": "code",
- "execution_count": 28,
+ "execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
@@ -20,33 +20,24 @@
},
{
"cell_type": "code",
- "execution_count": 30,
+ "execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
- "11\n",
- "\n"
- ]
- },
- {
- "ename": "ValueError",
- "evalue": "could not convert string to float: ",
- "output_type": "error",
- "traceback": [
- "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
- "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)",
- "\u001b[0;32m<ipython-input-30-82752eb5f629>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmaxiter\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 9\u001b[0m \u001b[0mg\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m=\u001b[0m \u001b[0mfile\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreadline\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m \u001b[0mg\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mfloat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mg\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 11\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mg\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m>\u001b[0m\u001b[0mmax\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 12\u001b[0m \u001b[0mmax\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mg\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;31mValueError\u001b[0m: could not convert string to float: "
+ "18990\n",
+ "\n",
+ "[969553.451655, 970758.779461, 971924.200775, 972984.307895, 974050.286894, 975016.061762, 975976.214386, 976857.818754, 977760.62936, 978588.05556, 979411.139985, 980186.094698, 980974.41441, 981721.176878, 982444.613921, 983171.02103, 983879.968084, 984576.545759, 985258.471322, 985936.788115, 986588.14128, 987246.815095, 987895.734428, 988524.128863, 989129.449336, 989736.924508, 990336.499391, 990914.031479, 991506.303444, 992061.21068, 992637.047976, 993178.099834, 993740.792991, 994261.129073, 994835.624788, 995367.463174, 995920.928944, 996420.301898, 996951.877113, 997463.084155, 997974.436039, 998482.457267, 999002.691491, 999467.191883, 999981.788417, 1000453.968108, 1000938.153018, 1001405.492442, 1001886.591025, 1002336.026325, 1002801.355711, 1003254.96904, 1003732.835645, 1004183.951977, 1004626.296423, 1005064.204365, 1005498.457882, 1005950.67812, 1006384.873797, 1006840.841636, 1007268.752472, 1007693.878602, 1008110.248807, 1008533.624709, 1008948.165899, 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+ "1413249.078501\n"
]
}
],
"source": [
- "file = open(\"lowerbounds.txt\",\"r\")\n",
+ "file = open(\"var.txt\",\"r\")\n",
"maxiter = file.readline()\n",
- "print(f)\n",
+ "print(maxiter)\n",
"# niter = (float(f))\n",
"# print(niter)\n",
"g = [0]*int(maxiter)\n",
@@ -64,7 +55,7 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 11,
"metadata": {
"scrolled": true
},
@@ -73,36 +64,30 @@
"name": "stdout",
"output_type": "stream",
"text": [
- "[ 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18\n",
- " 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36\n",
- " 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54\n",
- " 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72\n",
- " 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90\n",
- " 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108\n",
- " 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125]\n"
+ "[ 1 2 3 ... 18988 18989 18990]\n"
]
}
],
"source": [
"p= np.arange(1,int(maxiter)+1)\n",
"print(p)\n",
- "u=[92]*int(maxiter)\n",
+ "u=[1524190.4518713]*int(maxiter)\n",
"b = u[0]+g[0]\n",
"c=[max]*int(maxiter)"
]
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- "(125, 1)"
+ "(18990, 1)"
]
},
- "execution_count": 18,
+ "execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
@@ -115,22 +100,22 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- "Text(0.5, 1.0, '6flights, four sectors, opt using lagrangian r.')"
+ "Text(0.5, 1.0, 'using lagrangian learning rate=1')"
]
},
- "execution_count": 19,
+ "execution_count": 35,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
- "image/png": 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",
+ "image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
@@ -143,12 +128,88 @@
],
"source": [
"plt.plot(p,g,'r--',p,c,'g--',p,u,'b--')\n",
- "plt.ylabel('lower bound, lr=0.5')\n",
+ "plt.ylabel('lower bound')\n",
"plt.xlabel('iteration')\n",
"# yticks = np.arange(1,20,1)\n",
"# plt.yticks(yticks, yticks**2)\n",
"# plt.title('Lagrangian Relaxation for problem problem_t_pricer_0_2.lp, with 26,000 variables')\n",
- "plt.title('6flights, four sectors, opt using lagrangian r.')\n",
+ "plt.title('using lagrangian learning rate=1')\n",
+ "# plt.figure(p,g,'r-')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "18990\n",
+ "\n"
+ ]
+ }
+ ],
+ "source": [
+ "file = open(\"time.txt\",\"r\")\n",
+ "maxiter = file.readline()\n",
+ "print(maxiter)\n",
+ "# niter = (float(f))\n",
+ "# print(niter)\n",
+ "t = [0]*int(maxiter)\n",
+ "max = 0.0000\n",
+ "for i in range (0, int(maxiter)):\n",
+ " t[i]= file.readline()\n",
+ " t[i]=float(g[i])\n",
+ " if t[i]>max:\n",
+ " max=t[i]\n",
+ "file.close()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 34,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Text(0.5, 1.0, 'using lagrangian stepsize=1')"
+ ]
+ },
+ "execution_count": 34,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ "<Figure size 432x288 with 1 Axes>"
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(t,g,'r--',t,c,'g--',t,u,'b--')\n",
+ "plt.ylabel('lower bound')\n",
+ "plt.xlabel('time')\n",
+ "# yticks = np.arange(1,20,1)\n",
+ "# plt.yticks(yticks, yticks**2)\n",
+ "# plt.title('Lagrangian Relaxation for problem problem_t_pricer_0_2.lp, with 26,000 variables')\n",
+ "plt.title('using lagrangian stepsize=1')\n",
"# plt.figure(p,g,'r-')"
]
},
@@ -157,8 +218,79 @@
"execution_count": null,
"metadata": {},
"outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Text(0, 0.5, 'lowerbound')"
+ ]
+ },
+ "execution_count": 19,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ "<Figure size 432x288 with 1 Axes>"
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
"source": [
- "t = [412, 417, 420, 423, 425,429, 430,431, 432,433, 435, 437,464]"
+ " fig = plt.figure(1)\n",
+ " #h1=plt.plot(x,u0,linewidth=2, c=[0.3, 0.5, 0.2], label='init. cond.')\n",
+ " h2=plt.plot(t,g,linewidth=2, c='green', label='time sol.')\n",
+ " h3=plt.plot(p,g,linewidth=2, c='red', label='iteration.')\n",
+ " #h4=plt.plot(x,uslm,linewidth=2, c='blue', label='Semi-Lagr.')\n",
+ " plt.legend(loc='upper left')\n",
+ " #plt.title('Linear Advection, DX=' + '%6.4f' % (dx) + ', DT=' + '%6.4f' % (dt) + ', DTS=' + '%6.4f' % (dts))\n",
+ " plt.xlabel('time/iter')\n",
+ " plt.ylabel('lowerbound')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 31,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ "<Figure size 432x288 with 1 Axes>"
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "ax = plt.axes(projection='3d')\n",
+ "\n",
+ "# Data for a three-dimensional line\n",
+ "zline = g\n",
+ "xline = p\n",
+ "yline = t\n",
+ "ax.plot3D(xline, yline, zline, 'red')\n",
+ "\n",
+ "\n",
+ "ax.set_xlabel('iteration')\n",
+ "ax.set_ylabel('time')\n",
+ "ax.set_zlabel('lowerbound');"
]
},
{
@@ -312,7 +444,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.7.11"
+ "version": "3.7.10"
}
},
"nbformat": 4,
diff --git a/lowerbounds.txt b/lowerbounds.txt
index 7a0ebb3509515837251046f984130fc3aed36cff..a4bd7e634028cae076c3893e901bab0399a43f35 100644
--- a/lowerbounds.txt
+++ b/lowerbounds.txt
@@ -1,21 +1,18991 @@
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\ No newline at end of file
diff --git a/lr1list.txt b/lr1list.txt
new file mode 100644
index 0000000000000000000000000000000000000000..fc6161196f3009dd1d935a991f2b9c71aa999bda
--- /dev/null
+++ b/lr1list.txt
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\ No newline at end of file
diff --git a/obj/static/O.linux.x86_64.gnu.opt/cmain.o b/obj/static/O.linux.x86_64.gnu.opt/cmain.o
index d5e48d301d6d98e578c36fb3a4d5cecb4e57231b..afbcfe58fa917c49f5dd1ed3b0aa4f9da9d75cc5 100644
Binary files a/obj/static/O.linux.x86_64.gnu.opt/cmain.o and b/obj/static/O.linux.x86_64.gnu.opt/cmain.o differ
diff --git a/obj/static/O.linux.x86_64.gnu.opt/probdata_lagr.o b/obj/static/O.linux.x86_64.gnu.opt/probdata_lagr.o
index 40f06f30114394891a0ba37adedf740159ef46bf..dbf6dc53efe4fb437b72dd29f7926f26bf487570 100644
Binary files a/obj/static/O.linux.x86_64.gnu.opt/probdata_lagr.o and b/obj/static/O.linux.x86_64.gnu.opt/probdata_lagr.o differ
diff --git a/obj/static/O.linux.x86_64.gnu.opt/relax_lagr.o b/obj/static/O.linux.x86_64.gnu.opt/relax_lagr.o
index fc27ebde97bcc94ff6dce468a517281c7b89e888..4df197d84fd41e0558b6da465fe5829ae4137d26 100644
Binary files a/obj/static/O.linux.x86_64.gnu.opt/relax_lagr.o and b/obj/static/O.linux.x86_64.gnu.opt/relax_lagr.o differ
diff --git a/obj/static/O.linux.x86_64.gnu.opt/vardata_lagr.o b/obj/static/O.linux.x86_64.gnu.opt/vardata_lagr.o
index ca171ce968076c9a08438220d7c26d62567bff24..6974595e04195e1d80366d254d7b9f94484f7347 100644
Binary files a/obj/static/O.linux.x86_64.gnu.opt/vardata_lagr.o and b/obj/static/O.linux.x86_64.gnu.opt/vardata_lagr.o differ
diff --git a/src/relax_lagr.cpp b/src/relax_lagr.cpp
index 29694e849906529b227f470178959978e6f23e99..8d52b91dd1bd622bdaafa892c7e0762f7eb70329 100644
--- a/src/relax_lagr.cpp
+++ b/src/relax_lagr.cpp
@@ -1024,7 +1024,7 @@ SCIP_DECL_RELAXEXEC(relaxExeclagr)
SCIP_Real change=0;//for saving the dual solution of previous.
- int maxiter=2000;
+ int maxiter=20000;
int stopping = 0;
for(int iter=1;iter<=maxiter;iter++)
{
@@ -1187,12 +1187,12 @@ SCIP_DECL_RELAXEXEC(relaxExeclagr)
// }
// else{stepsize=1;}
if(progress<0.1){stepsize=stepsize/iter; stopping++;}
+ stepsize = 1;
-
- if(iter<3*int(maxiter/4)){stepsize = 75;}
- else if(3*int(maxiter/4)<=iter<=4*int(maxiter/5)){stepsize=30;}
- else{stepsize=1;}
- if(stopping==3){ break;}
+ // if(iter<2*int(maxiter/3)){stepsize = 55;}
+ // else if(2*int(maxiter/3)<=iter<=4*int(maxiter/5)){stepsize=75;}
+ // else{stepsize=40;}
+ if(stopping==10){ break;}
fprintf(dual,"dualbound = %f, lowerbound=%f, norm of subgrad %f\t stepsize= %f \n" ,SCIPgetPrimalbound(relaxscip),lowerbound, getnorm(subgradients,nSlotConss), stepsize);
change = SCIPgetPrimalbound(relaxscip);
fprintf(variableinfo,"%f\n",solvals[nvars]);
diff --git a/time.txt b/time.txt
index ff49dffafa58379f7deb009baa45989c64ca35d8..7d44f928c92f35948c32be254d2f274a8e213ea9 100644
--- a/time.txt
+++ b/time.txt
@@ -1,23 +1,18991 @@
-
- row and column identified in (sec) : 5.187866
-0.577017
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diff --git a/var.txt b/var.txt
index 888e260497b09a0011d10507eda8886be8ca7127..fc6161196f3009dd1d935a991f2b9c71aa999bda 100644
--- a/var.txt
+++ b/var.txt
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\ No newline at end of file