lissage_thermique.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from random import randint"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [],
   "source": [
    "endHourForCurrentYear = 8736"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [],
   "source": [
    "N = 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [],
   "source": [
    "ON_random = [np.sort(np.random.randint(low=0,high=10,size=(endHourForCurrentYear,2)),axis=1) for i in range(N)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [],
   "source": [
    "d = [randint(2,50) for i in range(N)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [],
   "source": [
    "def orignal_algorithm(ON_min,ON_max,maxDurationON):\n",
    "    ON_opt = np.zeros(endHourForCurrentYear)\n",
    "    ON_opt[0] = ON_min[0]\n",
    "\n",
    "    h = 0 + 1\n",
    "    while (h < endHourForCurrentYear):\n",
    "        if (ON_min[h] >= ON_opt[h - 1]):\n",
    "            ON_opt[h] = ON_min[h]\n",
    "            h += 1\n",
    "        else :\n",
    "            portee = 0\n",
    "            nivmin = ON_min[h]\n",
    "\n",
    "            if (ON_max[h] < ON_opt[h - 1]):\n",
    "                nivmax = ON_max[h] \n",
    "            else: \n",
    "                nivmax = ON_opt[h - 1]\n",
    "\n",
    "            if (nivmax > nivmin):\n",
    "                for k in range(1,maxDurationON+1): \n",
    "                    if (h + k >= endHourForCurrentYear):\n",
    "                        break\n",
    "                    if (ON_max[h + k] <= ON_min[h]):\n",
    "                        nivmax = ON_min[h]\n",
    "                        break\n",
    "                    if (ON_max[h + k] < nivmax):\n",
    "                        nivmax = ON_max[h + k]\n",
    "                        if (nivmax < nivmin):\n",
    "                            break\n",
    "                    if (ON_min[h + k] > ON_min[h]):\n",
    "                        if (ON_min[h + k] >= nivmax):\n",
    "                            nivmin = nivmax\n",
    "                            portee = k\n",
    "                            break\n",
    "                        elif (ON_min[h + k] >= nivmin):\n",
    "                            portee = k \n",
    "                            nivmin= ON_min[h + k]\n",
    "\n",
    "            if (portee == 0):\n",
    "                ON_opt[h] = ON_min[h]\n",
    "                h+=1               \n",
    "            else:\n",
    "                for k in range(portee):\n",
    "                    ON_opt[h + k] = nivmin\n",
    "                h += portee\n",
    "    assert np.all(ON_min<=ON_opt)\n",
    "    assert np.all(ON_max>=ON_opt)\n",
    "    return ON_opt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [],
   "source": [
    "ON_original = [orignal_algorithm(ON_random[i][:,0],ON_random[i][:,1],d[i]) for i in range(N)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhYAAAGdCAYAAABO2DpVAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/SrBM8AAAACXBIWXMAAA9hAAAPYQGoP6dpAAD79UlEQVR4nOz9aZAsyXkdiJ5Ycs+syqq6+3670Xs31kZ3Aw2CC7gNwX0oDSlQlGjzQJoEexREexojTEOOaBQJ8emJwoz0hiL4JIoaieRQ3EWCBEFS2NF7N3rf+25Vdavq1pb7EhH+frh7hGdWLB5bZlbeOGbXqm5VZIZXZIT75+c73/kUQghBhgwZMmTIkCFDAlCnPYAMGTJkyJAhw/wgCywyZMiQIUOGDIkhCywyZMiQIUOGDIkhCywyZMiQIUOGDIkhCywyZMiQIUOGDIkhCywyZMiQIUOGDIkhCywyZMiQIUOGDIkhCywyZMiQIUOGDIlBn/QJLcvC2toaarUaFEWZ9OkzZMiQIUOGDBFACEGz2cSpU6egqt68xMQDi7W1NZw9e3bSp82QIUOGDBkyJICrV6/izJkznr+feGBRq9UA0IEtLCxM+vQZMmTIkCFDhghoNBo4e/asvY57YeKBBU9/LCwsZIFFhgwZMmTIcMgQJGPIxJsZMmTIkCFDhsSQBRYZMmTIkCFDhsSQBRYZMmTIkCFDhsSQBRYZMmTIkCFDhsSQBRYZMmTIkCFDhsSQBRYZMmTIkCFDhsSQBRYZMmTIkCFDhsSQBRYZMmTIkCFDhsSQBRYZMmTIkCFDhsSQBRYZMmTIkCFDhsSQBRYZMmTIkCFDhsSQBRYZMmTIkCFDhsQw8SZkqYAQ4Av/b2DvMvAdvwiUlqY9Iornfg/IV4E7vnPaI0kel74CbL0E3P8/AwENaWLDsoDHfg04+yBw+t3pnitDsrj6GLD6FPDgT6Z/n2SYLAgBHv//AdtvBB979gHg3h+Md779a8Bz/xV4z9+fzBz/8meAQRt4+99K/1xzhvkILBSF3uDtTeCBn5iNwKKzA/zBRwG9CHxiFVDnjBz6b/8I2H4NOHYPcP596Z7r6qPAX/wMcPo9wEf/Jt1zZUgOhAC//z8De1eAM+8Fzrxn2iPKkCQ2XgA+8/+SO/axTwO3fRtQ8G+37Yuv/B90g6HqwPv/n9HfRwa9BvC7PwYQE3jbh4DycrrnmzPMR2ABAPWzNLDYuwKceue0RwO0twBiAcMOMGgCxcVpjyhZdLbp10tfSj+w6O7Sr63NdM+TIVnsXabPIwC0NqY7lgzJo3ODfi0fAd7z97yP+/K/pgt0rxEvsOBzzv5q9PeQxZVHAGtIv29tZIFFSMxRYHEOWH0S2L867ZFQ9PZHv5+3wGLYpV8vfRn4xv8l3XMZPfpVvKYZZh+XvuJ8n3128wc+ByydBz70c97HPfppurniz3FU8NfzgCZNXP6y8317AuebM8wPP794ln7lO6Rpo9dw/34eYFmAwSaVq48BxiDd8xl9+rXfpOfOcDhwSZic+3P2DGSg+gMAyJX9j8sV6VceiEQFf/0kFnoxKJ5EIDNnmJ/Aon6Oft2bFcZiT/h+znZrw47zvdEF1p5K93z2TodkC9Rhgrjrm7dnIIMzDwQFFnqJfj0sjEW/Caw97fw/YyxCYw4Di1lhLPbdv58HjO88xJ1pGjAFRmTeruW8Yu/q6LOYfW7zBz4P5Er+xyXOWGzHe58gXH2UakI4Oimfbw4xf4HFfhZYpI5he/T/l7/iflxSEHc683Yt5xXj94TI4GWYD/BUSL7if5zOAoskGQtC4r2XHy6N3bsZYxEa8xNYcI1Fb382Fh+Rsp83+n5853HlUcAcpnc+rrEA5u9azis4i1VgouV50xllCMFYlEaPj3s+c5DuPMCD4uP30a/trfTONaeYn8CiUAVKrCRoFnQW88xYDFhudeE09QwZtoH1r6d3voyxOHzgk/Pt306/Zp/b/EFaY5EwYwGkxyIMOtTQDQDu+T76NUuFhMb8BBbAbOks5jmw4BNKvgqcez/9Pk2dhchYzNu1nEc01oGdNwFFBW77Dvqz7HObP8gGFkkzFkB6i/21x6h/xcJpasgHZKmQCJizwGKGSk5HAou9qQ0jFdgTSgm48DD9Pk2dRcZYHC7we+HEfc4zmX1u8wfOXObniLHg+orzD1PjLyArN42AOQssztOvs2CSNc8+FjZjUaEPIMCc6kzv18TBSGAxZ9dyHsHZq/MfcIzhMm3M/GGSjAUho/NAWos9D4ovPAxUeGCxk/nnhMR8BRa2Sdbl6Y4DmO9UyEBgLE7cRwV6/QZw/dl0zpelQg4XxMmZBxa9/XSV/Bkmj0lqLMZfmwZjMewB156g35//AFBeod8Tc/5Y55QxX4HFLJlkzXNgIU4oqub0CklLZ5GlQg4PmhvAjVcBKMC59wGFBfpzyxg1Vstw+DHJqpDx16ahsVh9AjD7QPU4sHIroBec+zfTWYTCnAUWs6qxmLPFcHynwtMh4/XfSUG0DM92DrMNu1TvHtq4KV8BFI3+bN6eg5sdk/SxmARjIeorFIV+z1mLTGcRCvMVWPBUSHcH6LemNw5j4PTSAOZvQuW7By7a4gLOK19NR2eRMRaHB5eFyRmgE7SYDskwP5gqY5HCQs8t6Pl8Bjg6i4yxCIX5CixKdWcSm6aAc1yo1m/MV355vPnQiXcA+RpdODZeSP58mUHW4QHf9V34gPOzYmaSNZewmcs5YCyMPnD1cfr9eeHezSpDImG+AgsAWJwBnQXfmamsK/285ZftnQoLLDQdOPcg/T6NstOMsTgcaG8DWy/R788Lu76MsZhPiGXnfkiEsRgLLJLWWKw+RVnm8hHg6B3Oz23GIjPJCoP5CyxsAecUK0O4DqB63Aku5mlSdZtQbJ1FCgLOrCrkcIAHlUfvAiorzs+LTACXfXbzhUn6WPDUslagX5NmLMQ0CNdXAELJacZYhMEcBhZMZzHNVAifQIuLjqp4niZV0ceCg1Pfl7+afM33uI/FPKWV5glimakIm7HYm+hwMqQIy3IW+0n4WHDGYvE0/Wp0nZRsErCFmx8Y/Xk501hEwRwGFjNg681zycXF+cwvD1wYi1PvohNMdwfYejnZ84mMBTGTnVAyJIdLY8JNjswka/4gitMn4mPBzlc+kjxrYQ6Bq4/R78eD4oyxiIT5CywWZ6DkVGQs5jG/7GaMo+WAsw/Q75PWWYxPSPN0LecF3V1g43n6/YHAok6/Zp/b/EBkHwI1FiywGNdJhDpfz3mvpBf7tWdoI8XSEk3jiShnGosomL/AYhZMsm6WwGK8fp3TiEnrLETGApivazkvuPw1AARYuQ2oHR/93TymA292cNZQL1KTPD/oLPAwYqRC+Gv1kuMtkdRiz/UV5x8G1LElsZL5WETB/AYW7c343fSigk+ghQVBuLY3nbGkAa/6dbEhWZI6CJMFFpwhyRao2cMlFw8AjnkMrm92yHpYALPPWHil8IBRjUWm7ZLG/AUWpSXazhsA9q9NZwxujMU85ZdtH4sxxuL0e+gOpr3FbJ0TgGnQcl0AqBylX+fpWs4LLguNx8aRBRbzh6HHHOCGxBmLBAWVpkEbKALuQTEPYqxhNu+EwPwFFooy/ZLTvijerNPv52lS9dqt6AXgzHvp90mlQ0whDVJlFPs8Xct5QG8fuP4c/d6Xscgm5rnBvDAW158FBk3aSPH4vQd/nys5wVNWGSKN+QssAEHAOSWdxU2jsXBRg58X0iFJQNRXVI/Rr/N0LecBVx4BiAUsXQQWTh38feZjMX+Q9bAARhmLqOmEtDQWtgX9+7y1IrbOIhNwymI+A4tpl5zOs48FIf7tkrmfxaWEdBa8IkTN0TQXMF96lXmAra9wSYMA8xlc3+yQtfMGHMaCWLS0M9L5UmIs3Czox5F5WYTGnAYWUzbJsgOLhfmbVI0+nSAA98DizP2Algda14GdNxM4H5tQ9ML8Xct5weWAyTn73OYPsnbegMNYANF1FmloLCyTNk4E3IWbHJmXRWjMaWAxbcZijg2yxJ4nboFFrgScvp9+n4TOgqdCRgKLObmW84B+k/oAAN6TM//czH68PHuG2YFfOnQcegEAs8mO+vmnwVhsvECD3XwNOPF27+MyxiI05jOwmHYjMpuxqM/fbo1PKFqeNh9zw4UEdRY2Y1Gcv2s5D7j6KHVDrZ9zmMJx5GuwF5ZMWT8fGPikQ8ehKIL7ZpKMRUzNA5+fzj3kPZcBmcYiAuYzsOCMRXP9oLlS2jANqjIG5lO86WbnPQ67IVkCOgtXxmJOruU8wKvHgghVnT+t0c2O8Q7HQYhbGTLCWLCFftCMN7/7ea+IyBiL0JjPwKJyhOX1yOS9LMQd2YhB1pxMqDKirbMP0K6ujWvxS37twCJjLGYSXo3HxpF9dvMF28dCMrCI62UhMhbFutM1Oupib1lCRYhPUAxkGosImM/AQlGmJ+DkgYVeAvT8/OWXZURb+Qpw6t30+7g6C5Gx4LvejE6fDQzawOqT9Hs/8RuQdTidN3DGQkZjASTLWCiKU3IadbHfeon2t8lVgFPv9D82YyxCI1RgYZomfvZnfxYXL15EqVTCrbfeil/4hV8AmUWr02kJOMVSU2D+8suyoq0LQjokDjKNxezi6mPUFXXhNLB0wf/YTHg7X5BJiYpIkrEA4i/2fF46+wBtoOgHm7HINBay8FGsHMQv//Iv41d/9Vfxm7/5m7jnnnvwxBNP4Md//MexuLiIn/qpn0prjNEwLZOs8cBCVWk6pLdP/3GTp8MKWdHW+Q8AX/7XjtVzVHhpLAihO5cM08NlocdC0GcxbynBmx1hfCyAZBkLIP5if1lSXwEIhlxb2bwjiVCBxVe/+lV83/d9Hz784Q8DAC5cuIDf/u3fxmOPPZbK4MLgz15+EtfbN/CDd30AS+XK7DAWALWL5YFFFFgm1Sos3xJ/fHEhK9o69yCgaPT67131rhgIghtjYQ7oz2V3S2FhmcDuJWDl1nTePwqGPWD96wAC2MHSEnD0jokMyTEXkpicM7bJH/urcmnbI7cD5eX0xxOEMD4WQAKMBZ8H2PtUYjAWhACXuX+Ft77i6t42BuYQt1aPOGMYtIFCNfw5bzKECize//7349Of/jReffVV3H777fj617+OL3/5y/iVX/kVz9f0+330+45yt9FIhwr9ma/9A0Dt4sLib+FDb7vPCSwmrbEQzbE4iovAPqJPqp/9p8Cjvwp85PeA274t9hBjQVa0VagBJ98BrD1FLZ/jBhZanjWXUwAQSqmnFVj89c8DX/nfgR/+beDO70rnHGHxO38HeOOv5Y79kd8B7vgf0h2PMQBWn6DfB4nfgCyw8MP+NeB/f4fTbM8PlWPAT78YTN+nDd6IMD8pxoJvaNj7lGMIKrffoOyDXgROv9v1kN5wgA///g+AKH18+Uf+BotagerkOjeywEICoQKLn/mZn0Gj0cCdd94JTdNgmiZ+8Rd/ER/5yEc8X/PJT34SP//zPx97oEFQrRostYsNfqNNjbEQzLE44k6qvMHTy386A4FFCNHW0gUaWMRRU4tVIeNppdrx6O/rhy3WmfXlP52dwGLrZfp14QwzHHJBe4vqeDZeSD+w2L9KmSO9JMfszGOX36Sw/QYNKtScM2+5YecNoL0JdPeA6tGJDc8VYZqQAQn4WAjMJSAwFlvh32v7dfr16B2ez9JnXn0SRN8FALyweRXvrxwBGqvUOyNIT5QhXGDxu7/7u/gv/+W/4Ld+67dwzz334JlnnsHHP/5xnDp1Cn/v7/0919d84hOfwE//9E/b/280Gjh7NuLu1Qc6qhhgEzc6O/QHXGPRWKPeEn4GKEnCLRUSN7DgC3NcIWQSCCPa4scMI04mwKilN0CvZZy0ktQ52XiT6tCaBPg1/NHfA47d5X7MZ/8p8LV/O5nFmwfs9XNyOeeMsfAGv8eP3wP85Be8j/vFkzQFMWwDmHZgEcIgCxDmgriMBRdvxmhEJt67HvjLN79qf391f4uer7GalZxKItRq+0/+yT/Bz/zMz+CHf/iHAQD33XcfLl++jE9+8pOegUWhUECh4LHDShA5LGAAYLvLAovqcUqfmwN6QyydT30MADwCi5jCNZ5H3H4NaG6kt1OXQRjRlr1LiVFmaw5G32sSCxSf/PYuU5p68Ux655LF+I7NDZM0obInZ8lNQmaQ5Q3Z3X+uzAKLGIF6UggbWMRhLMwhdXcV3yeOtwT31ln0Dixe2H7aLuZba96Ip+m4CRGq3LTT6UBVR1+iaRosy0p0UFFQVOnEtduj9BVU1VkQJqmz4BNnYUxjIf4uDCwL4MESkFw78qgII9pKhbGo069p+iGIk98ssESEyC0+k2QF+DPlR92LyBgLb8gEjYCziA86/sdNAmHapgPxGAtx/uDXIE65acC9OzAM7Fmv2P/faN+Ip+m4CREqsPie7/ke/OIv/iL+7M/+DJcuXcIf/uEf4ld+5VfwAz/wA2mNTxoljS7k+4Nd54fT0Fn0fTQWUSjq7q7TTRSYPj0fqvlQAoyFqLEAJmOSJU5+l76U3nlkYQ5gV4P4LT6TXLz5M7UoyVhkPhbekGUs+DPHBdTTRFhL7zhzgf0axdlgxGIs/Nm2z772NKA547zR3ckYi5AIlQr5N//m3+Bnf/Zn8Q//4T/E5uYmTp06hZ/8yZ/Ez/3cz6U1PmlU9DowBBoDYVKdRmCRtMZi/MGZNmMRpvmQrQRPgrGYYCpEZCymfb2BsR2bDGMxCY1FxlgkBmnGIgEGMAkQEt7SO87Y+Wv0oqPn4QxCb5+mSsJUyQTcu3/++ujmbbe3CyxlJllhECqwqNVq+NSnPoVPfepTKQ0nOmq5RWAItI0954fT6HLKKXpO2QPxJlUeIZdX6E299TL9GY+gJ40wOxW7dj0JxkIQbwKT0VgAwM6bQGMdWDiZ3vmCIO7YtLz3cZM0oZIQwI0gM8jyhrTGgumaBlNmLMyBw6LKVoXkYswF/DU5IfAqLQGKSsfR2QZqJ+Tea9B2NmsebNvzO0/Tb8wqoLXQHOwBlTvpzzLGQgpz0ytkMb8EAOiYboxFzEZYYeBqkBVjUuUPwcrbgGN30++nuYsOs1M5tIwFO2eBnWvarIW48PhVYEyKFTCHQHONfi8dWNTp12Gbvj6Dg8PGWIiBjayPhZ4EYyEEMaoKlJhRWJjFnjelLCwCpfqBXxumiV2T6ivOFx+kb2/uZxqLkJibwGKpSAOLniXQwNNoROZlkAVEo6h5nXb5yGg78mkhjI9FoowF26nbO980NRbsb7z1m+jXaetaZBeeSQUWjVW6U9Ty1LBJBqKYOdNZjCK0xmLK4k0+XlWXT0HkEtBY5Mbu/yg6iwB9xV+98XVA64BYeXzzuW8AAPSs/UxjERJzE1gss8BiQJpOUzTbffMatWlOG5YF9Jv0+6Q0FrxOu7LiWCdPcwcdysciptseMHnGwjIBi+2o38bMyGaJsfDDpDrp8tTi4lm6c5SBpjPnVAD9LB0ygrBVIVMPLEL2CQGSZyyAaJUhASm8z7xGn/UF3IbzizS9MiRNoMJ8QzKNhRTmJrA4UqKGKQQmmkO2uNdO0qjaMoDm9fQHMWg5ucekxZsiY7HxAtDZ8X5NmgjlYxGzPwAweY2FOPHd+i0AFODGq0BrM53zyUB24ZlUJ92w+gqOzMvCHeN21V6YlXLTsH1CgJQYC946PcRiH1DN9OyNpwAAdy29E2cXKRtnqS1YJbpxxaCVbtA+J5ibwGKxVAIx6eKzw30fVI22dAYmUxnCJ0wtP7oI8MUwSn6ZR+OVI7Qz6pHbARDgytdiDzcSQvlYJMFYjJWbph1YiBNf7SR1QwSmrGuRZCxUdTKLt+0DENJBN6sMccd4gy0v2BqLKQcWYT0sgEPBWFiWhW2TWud/68X34cIyDSwU1cC2qVHLdSDTWUhgbgKLSkEHMekuerfv4mUxCZ2FaI4liuzi5JdFxgKYvs7C9rGYMmOR1o6cT2Jani7U077egDxjAUxm8Y7KWGSBhTtkGQv+zE07sAjrugnMjsbCxxzr8289D2gtECuH773zIRwt10AsWjh5idt6A5nOQgLzE1jkNTuw2OkJaYJJVoa4mWMB8fLLosYCAC6wTpLTMm6K5GORoMYi7R35+O6R61qmKeAM0/DJXrz3UhuOQydHDSwy8eYIQjMWU64KiRJYJMJYjAUWsRiLg2zbn75KNw9V3IpKoQBVVaESOm9f2d+MZ8p1k2F+AouCDmIwxqLnwlhMwsvCrdSUI+puzYuxuP4c7XI4SZhDR9gos8ilyVgMO7R1d9IY3z3y6731UrSGR0kgEmMxgxqLjLFwx9BjRz6OWfGxCNvZFEiIsRg7X1iNxbAHtDbo9/WDvaOe2XoSAHDH4jvtn+moAQDWGlvxGp/dZJibwKIqpkLEwIKLdCapsXALLKLstAlxHhoeLS+cBJZvAdVZPBJ5qJEgUrAyqZA0GQsgnXSIW3vmo8wcZ1o6C1mqHEjfiMoyabkpEEFjkYk3XWF4aAjGMSuMBQ9sZD0sAIGxiNErJC5jwT0schVqsCXAsixsGS8CAL7lwkP2z4sqncuvt7YzxiIE5iawKOc1WAalrba7bqmQKQcWUXZrvT1a0QI4DxHgpEMuT5ie52kQRfV3gOQQGQteAhwW4+JNTWfVD0hngXLbjZ2fcpmvLFUOpM8KNNfpPanqVNwaBhlj4Q5ZxmLWfCwiMRYRgiJPxiLkQr8vMG1jRnNfufwyoDVBLB3ff/f7nFNo9J690d2J1/jsJsPcBBaieHOrK1BVtknWNeozkSY4/SyaY3FEoag55ZavjU4657nOYsILnVhq6ucAySGOmQcIYcEnFTGQSXPn65Z2uDBtwazkwgOkv3jzAH3hNK26CoMssHCHNGMxK4FFyD4hgPO3mYPwnkJBjEVnR+49ffQVf/Iq1axVcBGLRefvWsjXATAWPGMspDE3gUVBV6FanLEQUiELp+kO2+wD7ZS9COw+IQkxFvwG5rlEDr7QrX/dMeSaBMLWr4sTZZSdCiH0cwPcy3cnxliwQG7jedptdtKQXXiA9KtmwjYfE5H22A4rpDUWs+Jjwd13Q6RCRjYZIdMhXgxJmVl6g8g9lz737tObVF9x28I7Rn5eL9CUyf5gN9NYhMDcBBaKoiCvUIp8V6wK0XJA7RT9Pm0BZ9KpkPaYcJNj8QwVHxETuPJo+HFGRRg7b4Bee4XdYlFyqyLLwcWbQLqBhRtjUTsOrNwGgACXp+AfMouMhYv4LRCZQZY7DhtjEcZ9l0P828LOBV7iZS3n9KCRSU94mGNZloXNIdNXnH/fyO+OsH4kbWM/YyxCYG4CCwAos3zYXn9v9BeTKjm1A4v6wd9Foe87gjnWOKahsxiEpEAVJV5liCkGFlNkLIDp2qmHYSzSXrz3venkQGSpEHccOo1FBEtvVdBlhZ0L/DQdYRZ7Dw+Lx669BqLtgxANP3D3+0d+d5yxxT2rkWksQmC+AgudTlyNwa7TLwSYnEmWaJA1jig0sBdjAUzHuClMy3SOOJUhNmOhjDY7SpNS99od2bqWKfhZzCRjESUVUqdfs8DCASGHryokiqU3EL0yxK/cOsxi73Hv/snL9JkuWxewVK6O/O7UAn1/2i8kYyxkMVeBRTVXBwAYZIiOIUT19QmVnHoZZIk/C8VYjJljieA76LWnJlfXHmVCicNYiBOKm5PpNBiL689OfmGMorFILbAQGpCFRWaQdRBiui+Mj0XUKqskEDYlyhG1MiQJxsIYAI01+v1YYPHE5hMAgLctvP3Ay84u0uZjptpygpjefvjWDDcZ5iqwWCiUQSy6s3V335wTjQVAc9wLZ2jp39UJ6SzC2HlzJMFYiPoKYPIaCwBYOAUsXaRN5ibuHxKFsUhh8bYsX0vkQPB0YL+RfoXWYYG4yMoyFiDRq6ySQNiUKIcecS7wZSwkBZWNVQCEvgfvVMpwvU/1Fd947qEDLztfPw4AUNQ+9tWCoxnLupz6Yq4Ci3J+yiZZSRtk+WksFGXyZZBxRFtxGQsR09BYANOz9w7FWKTI5rQ3abmgotJAKyzsFCHJKkM4+CKrqKPpPjeIC/k0dRZRUqKA80xNg7EQhZsC+/nk6hsg+g4IUfGDd3/gwMtO1eoghJZVv7V3A2Bizkxn4Y+5CiyqQbbe+1fToxAJCWAs6vRrUowFMHnjpiiirVQZiwlqLABHZzFpAWcoxqLOXhOhk24QRA+LoEXQDbmic10znQWFGDQGecNouiOAnGpgMUuMhaTGwoNp+6OXqH9F0TqPo9WD2jhVVaFYdL67uif0C2lvyY39JsVcBRaVggZiUvHNSCpk8Qz9OuykR2ENu45LZlIGWX4aC8CpDFl9cjKCrkgaiwR6BBwILCahsXCZxGxdyzOT9Q+JUhUCJB94eZTrhUJWGTKKMEEjMBteFpE1FjPAWIxVMz2xQfUVt9YO6is4dEJtDK41bwimXFkqxA/zFVjkBcZCbJ2uFxz74bRKTvlEqahOJ1MRYiWDTH6ZkGDGYvkW+neZA+Da4+HHHBZRJpQ4SnbPwGISGguXSax+jv4j5uR0LUC4xSdOJ90gxKkI4chMskYRJmgEZsPLIkpKFJiuxsLDHGut9wIA4BvOPuj50qJKg/WN1g1nk5elQnwxX4GFVyMyQNBZpCTgFNMgbpRmMWR+edByfBzcNBYAPc8ky06jiLZiMRYurpvAhDQWHov4NOzUwy4+aVXNJBFYZCZZowjLWMyCl0WUlCgQg7Hw6BUCRNBYOPfu89evwNJvgBAFP3TPQX0FB7cx2GxvC4xFFlj4Ya4Ci3JeswOLkVQIkH4zMj99BUB33WHyyzwi1kv+VRiTNG6K5GMRh7HwCizq9OukGQtgOkZZYReftAIvO0+dpUISQ2jGgj9PsxBYTIqx8OgVAoymJvz0c/sHg+I/eOmLAICCdRYnakturwIA1JiNwUi/kIyx8MVcBRbVgg7LTbwJpG+S5WeOxRGGBh5vl+4FvoO+9ni89uQysEVbk9JYBIg3B83wDY2CELSIc4ZodYL+IWG6mwLpLd5JpkKywIIitMaCe1lMKbAwDZp6BcKVnQPRGAvLdM7nx1hYhtOraRymAeyv0u+FoPjR9ccAABcr9/kOoV6oA+D9QjLGQgZzFVj4pkLSNsnyM8fiCDOp2voKD+Emx5HbgMoxuvisPhn8vnEQqflQEhqLsUlXDN6SztUH7SCXLtCqCGsIXH0s2XN7ISg9M440Fm9C4pljcWQmWaPw0w+4YdqpEPG8k2AsxA2J2zXSC7T7M+DNIjTXqC5KzQHVE/aPV7tUX/GBM976CgBYYSWmLWNf0Fhk4k0/zFlgoYEYVLg2It4E0jfJ8utsyhFmwvfzsBChKMB55m+fNj0fycciBcZCzzsLf9I736AdpKhrmUQ6xDJpEANEYCwSXLzbN1jQpThVVlGQZkXPYYRfxYMbpi3etM+ryAdDHFEYCzEI8bpGQekJOyA+Q3uWAHhp8xpMfROEKPgf7/2g7xCOs81d12xkjIUk5iuwEAyyDmgsFgWNRRpeFn4NyDjCCNeCKkJE8LLTtI2bIvlYpMBYAOlR6jI570kak4nXTZqxSGHx5jnq2omDgV4YZKmQUYRlLKZdbmrPAeVg341xRGIs2P2v5gBVcz8mSMDpksL7gxepviJvnsbZRX9W+GSNvv+ANDKNhSTmK7AQUiFdo4ueuEvmqZBB0zsXFwdB4k3xdzI7SVnGAnB20Fcfo574aWHiPhYejAWQHqUuk/PmupbVJ9L3DxmhgqeosUhCXwEIY9uL9z7zgtCMxZQbkfGAJqyHBRCtV4hfRQhHkEmWi+j4kXVann8+QF8BAGdYvxBLEfqFdHeT13fNEeYusIBVsC1YR3QWuZLjEZ+GzoIvcG7mWByhNBYshxeksQCAo3dSq1mjC6w9HXx8VEzLx0JzCyxSotRlGIuVW4HqceYf8kSy5x8Hv25a3qZxA5FKYJGAvgJwGL3Mx4IitMaCsYXDCQmHxxE2EBIRpbupX0UIB9c9eDIWzLuoft7+0bXO8wCA959+IHAI5+vH6DdaF50c9ygiQGfH8zVTRdoifgnMWWChAVBsk6ydvlfJaQo6i1CMRYIaC4AuOHYZZIrpEMHH4sf/8Bfx0G/8EPZ7AZRs6ozFhDUWAOvTMiF777AVIUA6JlSJMxbhPrcvPfUn+L5fvw///k/+t3jnnzVILtSWZeE7//PH8GNXHwURXzdp2JVhIStCAMHeP0QaR+Z5tBkLD0HlWFD8xvZ1GPp1AMAP3fMNgUM4t3gEhNC0z+XGrhMcJ6mz2HkT+LVvBJ793fjv9X8+BPyf7we2Xon/XhExX4FFXgcAR2fRHddZ8MqQFNw3pQKLlDQWAHDmvfTr9efljo8Cwcfiyd3PoK2+gr94NaAS5TBpLAiR9xU4+U769cZryZ3fDWErQoB0TKjidDUVEXFsf/ncf8SbeeAr65+Jd/5ZgyRjcWlvC6vmF/F0fgv7qjq5UudxJMFYhNlkyDyPITUWj159CQCgGiu4uHw8cAi6ptn9Qi6P9AtJMLB4/a+B9WeAr/4f8d5n/xqw+xaw9bLjNj0FzFVgUc5rUBRMpzIkFGOxF/x+7RCMBeDQfGn5dFiW85DnyiAK3XW0gkRkcRgLc8KMhdiKOmghLzFDnbQp/bBUOZCyxiJuKiTa2PaG9HnoYPo0b6KQXKifvf6W/X1PUaaosWABTVgPCyBaQ8JQjIXLQm9ZdLEF7Pl/g3kE5eAzV49BJ3RNWW1spVMZwteE689T/UZUcEH5yXf4p+VTxlwFFoqijFSGTNQkiy8wvgZZ9dFj/dCR9LHgSLucVhBc9TUNUGnDtUY/ILBIw3kTSIfuF0VlQYzFpKobouwQk3YmJUQILM77HxsEUXQbojprBy0AQEs10utQPA1IBo6v3nB0YR1VmWK5aRKMRYi5IC5j0bpOy7UVzd7B32DaiIJakx5GnvULWWveSIexsJ9VAlx5JPr78FQ4T41PCXMVWACytt7TSoVILkaDjjNxSDMW7G9rXU9HvCMwE7uG0467HRQw5CLQnxxeTciAdOh+ft0UNbgt+KQCi1iMRUJBV3eX9q4B4nlYAM7YiBmKzr+h0GqnfU2Zr4oSyYX6Lb7rBmcsZqDcNCxSYyx8TKtsfcVp2qAPwA7bcJY0ecaizI7d6uwIgUyCJlniPBLHNoAzFrxybUqYu8CiWhA6nHoxFlNPhQQsRjzyVnP+DIiI8orzsDdW5V4TBly0pZdwo+e0DG8FLQ5RlOAcMoxFoqkQYXcUVKM/KQfJSIxFyE66QeBsReVYtJ2qiFwJUOkEL/vZmcYAm8zCYF9VMdi5FG8MswTJwHG9vW5/31XU2fCxCItJMBbjbJZL87E9liKv6PKBRZX1C9nubQeXt0aBOI9EFYQ31oGdNwAowLmHEhlWVMxdYFEuaMEdTnt7yS4Iw54zQfgFFrK7bFFfIWtCoyjpilOFUtPttjP+YMYiQu06hx9jkUZgEaZvw6QcJCMxFiE76QYhieZjHIoS+rPbuvEiDPYcEEXB+lqKAuVJQzJw3O5ft7/vqtPUWCTgY5GWxsIcAP3m6O/sUlMnsGgO9wAACyxYkEE9TzVV+/09+Y6qYSA+C+tfjzav8IDkxH1AqZ7IsKJi7gKLEffN8XLTQpX6PQDJ6izsyVuRa0IWlF/mFJtsRQhHmozMwNmpbHedm74bFDBE7WgIBDAWdfo1LcYiCPz8wzZgDn0PjYUojEXYTrpBSKrUlCNkYLG+ORpIbGylXIkzSUgGji1jy/6epkKmVRUSsbMpkB5jkS87DMr4Yu8SFLcNet/VC94dTcexUmb9QoZ7KTEWwrNALODKo+Hfg6dQLkw3DQLMYWBBUyGsKmScsQDSaUbG2Y9Czd/ESDa/bDMWksJNjjQbrQkU6G6YwCJKfwAOX8YiRY2FDGMhBpBppkOiMBZAsoxOUuZYHCGFt6s7o/X4N/YuJTOOWYBk4GioTj5/qoxFFFt/jrQYC8Dby8IlKO6a9JlYLsoHFsdYYNExG4IhVwoai+Vb6dcofkScsTg/XeEmMIeBRbmgw/JKhQDp7Opl9BUAyy/nRl/jBtsc62i4caRZ9SLsVPYEurEXJMrkC6Jl0PbFYTBpg6wwjIWmA3nmwtdPMR0SVYWfZNVM0oxFSOHtemM0tdfoXPc48hBCInC8tr8DqM5zNl2NRQT3XQ6RsZCt7JF9Jr3cN12C4j6hz8TREBu3k1WhX0gajAV/Tu/8Lvo1bB+i1iZw41X6PW9KOUXMXWBRLWi2eLM1bGFgjvXOWEyhMkSmsynA8ssSk2pYcywOO2hKkbHIV7AvLFZ9MyCwEBfEsKyFjEFWP1zZoi/CMBbiGNLUWURlLJKsmtmfbipktT0aSLT6c9QASqIXxtevvzny/+40q0IE993QEJ8r0TPGD6EZC+HeIOSAsRshBAYrXT4mW8oP4MwC3eSZSnO0KiQJcTQhzrNwx4fp17WngX5L/j04W3H8XoCxK9PE3AUWlbwOWEUo7E/zrgxJMhUiyViIx/jtJDsRUyGLk9BYlNAcOIzFICiwEBfEsDoL3lDNj7EgllMKGRdhF/E0Sl7HEZexmGmNxZ7U4WsDepxuUQFnx2z6HH3IINEL4+Wt0U1QT1WoN0Oa2h4vCO67oaFH2GRIMxYugsr2FnumFWDhNACgOWwCCm0exlkIGZxj/UKI2sUgL6S0kyh9NnpUeAoAx++h8zgxgashdBaXZicNAsxhYFEu6ABU5BVqfnLQfZNRYmmIN2VKQ2Um/HZM8WZzLflJR9BYNAdOUDSwAoIFRRHcNxNkLPQibcwFJLewh13EZ5mxSGpsvX3nPZLWWMimQkz6uRR7dCfWUIbpl/lOChKMxVt710b+3+WVYtNgLeKIN7Uc9YgB5DcZ0owF97IQAgseEC+cAnQ6V/CNJrHyOFKtQhbn63QuVhSCy62GM9cnobPgz4Gi0vSq3fcpRDqEHztlYyyOuQssqgVa8K6DBhbeJllTZiykNBYhA4vKUdoJlFjJe1kIgUXbcBiCIZGgNKNWhvhpLBQlecYg7CI+CS+LKL1CgOTGxtmv0jKtqkoCdkVP8Ngs08CaSlNdgx51/dxV1fSs6ycNCcZirbU28v+uwkw9pqGzEFKioaEo4StDZLqbAu6mVbaHhRMQ24GFUcFCKcAET0AxlwdMytJc3tt0D2Sigs9fhQUq/uesg6zOor0NbL5Iv88Yi3RQZo3INOJRGcJvss52co18wgQWMothVI2FqqZXGSKIttpDIbCwJAKLqJUhQQt90ozBTDMWYVMhCQVdSTUfExFibDs7r2GgKFAJQat3AQCwq2npWddPEqZBRc2A7z3HPSyIQTdLbW4wNg3GYhCDsQDCV4ZIMDoA3DUWLim8DfZ7YlawUNTlxsDA15Rr+1vJelnwAJvPJ5x1WH1SLni88lX69eid4TejKWHuAotqgd4siuURWJTqQIF9gElNTpEYiz3vY3jUHeUmWUwpsBBEW13TCSxMpMRYmAbNMwLujAWQ/MIemrGYpMZiSqmQpJqPiQgxttWNrwMAVkwCw6Dlgbuamo5AedIY6U3j/fk2TephUSSnAACdaQYW9v0YgbEAIjAWks+k20LvEhSvNZ3AgnfDlkVeoc/7eith9017/WDzydJFoHaK6miuPR78eu5fMSNsBTCHgUWFBRa8MuRAKgRIviwzUmDhQQMbfUezEUK1bCMtkyxBtNUzHabHlEmFRGEsxDLWQMYioVTEXDEW4QSSnkiq+ZiIENdtnXlY1IeOVf+OpjmVKocZQ4l7HMAQdKOxUqDPdod75UzDy4Ibc02MsZB8Jt18LFyC4k32e53UoKqSrsYMJY0u/FudG97lrVFgVxXW6VdFCaezuDRb+gpgHgOLPM0/Wl6t0wEhXZBQyalNZcmIN+vsNR6TKmcrFM05NgxSS4U4FGjfcgILCwOPFwiIwliI5WiaF2MxKxqLNBmLkCWwHEk5k7rkqWMjhMfG6v4lAEBpWAQx6TO9r6owd1KwrZ80eKCtFTyN9TZa+4BGn73ztYsAgI7KNRZTcN+M42MBpMhYuCz0LqmQLdbZlHcrDQPeL+RGdzclxkLYmHL3zCCdRXcX2GDOtFNuPCZi/gILxlgMB/QGnohJVpLiTVtfseLv4ukFvrNMWtwmiLYGlkPBEiVlxkLNeV+HWdFYJNm6fRxhTLtEJDW2pEtNgVCi23XmYaENF1Biba5NRcFuGv1wJg2JoPHZ9bfoN2YJxxnd71SFTJixsKx4TciA9BmLYYfqEggRzLGce5cz2CVVvgEZx6LdL2Q32dbp/TGNBeAECdce979Wl78GgAArbwNqx+OPJSHMbWAxGNAb3zWwSFqHECqwCJhUo1aEcKTVGp6JiAy9ABPOjU4UibLWSIyFxE4lKbo/zDldzz+DjEVSFTNJNiDjEK9bgLnZKmMch8MVLBRLUE1WNthKoYPvpCERNL7EPCxyOIKyTue0qZWbiunJqIGFXXouORfIPpOFmlN+3rkBdHactM3iGfuwKJ1NObgFeFPsF5JIKsRl/Vi5FageB8w+FXF6wS4znR22ApjLwILShL0efVhnVmPhtZO0PSwi6CsAJ2hqrIW30PYDm8RaY+yBog5hmKb/a6MwFqaPORZH0oxBWMZiEgZZcRmLOGMbtJ3UXBqpEHMQuMCsm/S+aw+Po5zXoBLKWjSGzemkApKERND4Jtt1V7WjqOTpPdDj0oBJBxbi+SJrLNjrZNkW2WdSUUbTE1yDUz0+cn0bzGytFqKzKccxlm7pmPsCY5Ggj4Xog6QoQtmpT98QW7iZBRapgjMWxpAxFr4ai4QYiyQNsuIyFrUTNH1gGUBzPdp7uIFNKk3evpo4wqf9fsAElxpjUadfp6axSPj8bpAttxuHbCddP3AqubiYbBvmfNUxSvK5dsSysKZQy+SdwTkUcxp0hf5du5oK7F/zfO2hgOEIor2wyjwsjhROoMp0DXZgMWkfCx5Y6EWA6zzCIi3GAhhtDuaRwovS2ZTjRJW+f99qOhu/tBgLQBBwegQWvX3g+rOjx84I5i6wKOfoDc9bp+/392FYYzt3rkNobURr5y3CNBxLaRmxpbTGImJgoWrAIrWvTVRnwXYOTXbH8A6yALDTCbDUtvOqISZCP3MsjqQZg8hVIRPQWEQNLII66frBFm4mqK8AqGbG/uy8r93u3pu0kyeAzeF5lPMaikyZv6Nph7/kdBi8aN7o0c3ByepJO7DoKyxQnHTr9LgeFuJrZRgLQsI9kyJj4dJ8jBASqbMpx2nWL8QQ+4W0b8TvVeQVWHAW4urjTnsDEVcepWaISxepu+gMYe4CC11TUcypIGYZCuiktNffGz2otOTUYcfd9Yg0vExVSNBiGJexANJxF2WLU5PQHSQxyyAWda7b7wVMcLYSPC2NxZSrQvqNZJoRuUFi8XFFrgRwv4Oo1yfp5mMiJCp61pmHxVGTYEBKKOU1VPU6gDnxspAIGpsG9bC4pX4WCwUaWAztwGLC4s04LdM5wjAW5gAAGX2dH0QvC7d26UYXJqgm7EgpfKOu84u8X0gbBg9MrGH8VOy4QRbH0TtosGR0gbWnDr6OMxkzxlYAcxhYANwkS0U1x2jTcQGnoiQncuTCwVyFeuEHQcwvu7ElYlVIVKTRjIwzFmB6CqtoBxZ7QYGFzViEqQqRYCym7mPBA0mSTmUIIdEZC0WJH3ilYY7FITG21RsvAQCOEhoglXIaFvN1AMCuenMwFn3mYXHHkXNYLNAF3VQIXR6nlQqZFGMhHhOWsXARHXO9HbF0LJXC29OfX6KMhaJYWOv1nBRW3MoQL8ZCUZwW6G46ixnVVwBzGlhwW++aV2ABJNeMzCva9EJQfjmO6yZHGpUhXGNh0YifWEWAUBV2I1BjEYexkAkspsRY6AXn2DR0FqKXR1jGAkggsEjBzpvD1qfseR6y3qD37wroglrKa1gu0p3mjjYH/UICgsbdTgvQaJrxHSduwULR0WL0ptE6Pa6HBRCOsbCPUZyKDz+IXhYuxm52nxCzgsWyxPuNoVYoARYd/6XdTaEyJKaAc9x5UwSv9hg3yuo3gbVn2DEZYzERcAFnWaMT607fpzIk7q7H76Zww0h+2WXCj6uxAJLv4EqIPYk1CAsszBLAGIuGNGMRwSDLN7AQrmPcPCcQTSiZZsmpEXLHNo6kGIskK0I4JCp6uHCxplLauZzXcLRMA4u5SIUEMBbPXGceFlYRpxeWUM0VQQidsruqOvnAQrD1j4wojEWuRHfvQRjRWLg0IOvzBmRVLBTlG5CJUFmriKuNLSeQSYuxAJzA4sqjox2rrz5K9VOL59IJ/GNiPgML5r7JLVh3ui6Bhe1lEZexCFFqyuGXX55FjYXRpyIhAC2LioiIWYQGuui3giaJsG57QDiNhTVMJt8s20nRbQxppEL4wqNocmm2ccQdWxoNyDgkhLfrbCEoqTS3XcxpOM6U+TQVMi+Mhfv9xj0sdGsZqqqilNfsYH46jEVMcywgGmMh+zzyOXP7Deeed0uFmBUslML1CeHIKbTcea1xIxkvC2Pg3Adua8jRu6gmcNgG1r/u/PzSbPpXcMxnYMEYC940xr3kNGnGIkxg4bGTNA1q0QrEYyx40LR/LRlRoTCBNdgCTqwidJUGFs2gVEhajIVk2aI0ojAWaXpZRNVXcMQZ27BLq6aAlFIhEhoL1pNGVWmVUzmv4XSN5rl3NRVoXY9f1TVN2IyF++f7xi7zsNBpYFXIaSAs/dhVlZtHYyF7Pj5nbr/m/F9o7y6mQqIyFiXGgm92tpNx3xSDfje7gpE26oLOwjbGmr00CDCngQXvcMqjS3eNRULW15ECizr92h+bVG1mRQHK4VXLNhZO012uOXAWhzjgE4qawx4vrTVLyKs0YGgH7ZwiMRY8sPDZrYgCxSQYA7FOXxZppkKiVoRwxHEm5dVS+SrdMSWNgOtGLAvrTCg8VC4AoOLNc3W6yO5oGq0XaBxiB84AxmK1SVNBy3nO2KiAxQILRZl8VQgPZPITqgqJylhwjImO7cDCiB5YVJlj53Z3R/CyiKGx4Pd/vubtDcIDCx5MDDrA6lOjv5sxzGVgUWapEI259Lm7bwoOlW41wrIIY47F4TWp8si3tBTdgAYANJ0GF0Ay6RB7Qiljj/29xCqioNEHvhMUWERiLCTEm0ByC7s5dNq0z5rGIuoOMc7YxHI9mfx2WARU9DSa19BiHhZN3AYAKOV1XFyii6yhKGgpSvLW9ZNEAGOx1aN9Uk5V6bOc11S7EosGFhP2sQjLILghVcZirJJujGm70aUBQJxUyAKvSuol1C/E7mzqszHlrMSVRwDLBK49RtO/C6eBpQvRz50i5jKw4KkQhQltXBmLylEWCROgEcPLIslUSBL6Co4kBZxCbrXJGIucUkGBMRadoN1HWowFkFwqQpzoIjEWKWosIjMWdfo1ytjSFG4CgT4Wa9efBgAsWwQtk+b0SzkN9VIFhO3adw+7SVYAY7E/pGzjeWZ4pygKVNC/vaeqU/Cx4OLNGWUsinXHuwU4cO/e6DgaC85qh8VykQYvifULkVk/jt8LFBbpJvb6s46+4vzD6QT9CWAuAwt+0yjMfdM1sFCUZAScUQILr8WwTc1wYukrOJIsOR0JLJoAgLxaQd5mLAImuMPAWIgT3aykQgIWnkDEaSufpnATCLxua9svAwBOI4fekDJJnInkyvwdTT3cAs4AxoJ7WNx5xCmZVImQCpm4xmLGGQtVHWUthFJTANhmzHUeNehatKXvKDPW6hj7dHMKxGQsJOwKVA04/z76/aWvzLy+ApjTwKLMGpGZBgss3MSbQDICzliMxdhOkje0qYxRelGQVNULMBJYtIY0sCioZTsV0jPTqAqRZCySWtj5JKYVwrWrj7N4y44pbAMyjkRSIWkxFgGBxd6bAICTuSo6A2rJX2R2/XmunTrsjMXQO3Dc73UAjc4Pbz9x0f65qtBAeypVIUJKNDKiMBZhAhlxU+ahsagw99YoOFGjc3PPaghOnwloLILWD66leP2vaCt1YCaNsThCBxarq6v40R/9UaysrKBUKuG+++7DE088kcbYIoMzFgZrnb7X34NFXKojkkgXhDXIEo/1SoUkylgkq7Fos8CipFVRZJNEP2iSiMNYaEGMRZ1+TYqxCMsOJN26XUTUlukcsQKLKTMWbdoj43TxCLpD+uxyxqKosmov9ZCbZPl0rn1+gzKNxMrhQv2o/XNe4t1VD2m5qc1YSMwFdmAd4v4XN2Vj926czqYcvCrJUIRGZLEYC0kfJM5OvPnfqSi/epy2Vp9RhAosdnd38fDDDyOXy+HP//zP8eKLL+Jf/at/haWlFFTjMcCdNwdDehNbxML+eAUGkDBjkaB4c+Y0FvQBt/QSeqyNdSVXRYlNiH0zTY1FUGCRsMYidHvyejLnd0PUlukccSpm0mpAxhEwtrUe3QWerJ5GlzEWJRZY8B3noW9E5hM4vrB5if7KWoEqMGg6Yyy6ikqD4bR61LghycBCZi6Iy1gIGoue0UPfoudcLNTl328MvCrJUlqweL8Roxu90Z8sY3HiHbRyhGOG9RUAEErB8su//Ms4e/YsfuM3fsP+2cWLF31eMR1UWSqk0wdq9RqagyZ2e7tYGu9ol0RPDfvGqMu/xmsxTIWxuEpdKePchEy01c4VQYbU4bKkO4HFwEqRsZhUKiQuY5GmQVZUxiKqsNUYAE3KGKTGWPCxDTv0fPqoxfK60QZU4PTSregyjUWJpUIW8nWsdZnGYnfd9fWHAj6B4xs7VFBe1o6O/NwJLNjzPOwAhfB9LyJhmGC5qRRjEUG8zDdlxfrIZs8uNSUa6mE2gWPgVUmKamJjaOKkVgDMPt0URrkufUnGW9OBcw8Br3+O/n9GjbE4QjEWf/Inf4L7778ff+tv/S0cO3YM73rXu/Drv/7rvq/p9/toNBoj/9IGrwpp9w2nt4Bryem0NRbjjIV7n5AvvvUCPvrH/xLbnab8ORbOAFDo5BXXcpY3IMvRyZtYOqr5Iio5ycCCT5xmX36HJc1YJLSwR2UsJmGQpZfwfz/7JXz8M/8WVpgdqnifhbE8b1wDQOi18GHP/tWX/gj/+it/LP++IsTybJfPbhWUpTh15B50BiywYIwF3yBsaznqCHtYvSx8AserTfo3LReOj/yce8fwdvITrQxJsm26FGMRQSzKN2Vj+gre1oEY5cgeFgBGqpLe2t0c7agaBWHWD1GsOU+BxZtvvolf/dVfxW233YbPfvaz+Af/4B/gp37qp/Cbv/mbnq/55Cc/icXFRfvf2bMpicEE8FRIe2BgqUAnIXf3Te5lsUpdL8PCsuQjThFei6HNWIyKNz/xhX+OR/b+E37lK/9V/hx6HqidpN/HpYvZhNLU6HUlVhGlnIYKo0QN0vd8KYDRiVO2EZk5YfFmbI1FigZZuSL+xeP/HH+99Wv445ceCT82cxCuARxn8BbPeDJdNzr7+I3X/xn+/Ws/hze2r8u/N4emO9Tu2LVrNdfRYAvnqePvPFAVwltebzLx8KHVWfgwFltdek1PlE+N/DzH3G47KlscJ+llYYtNExBvWkbwnBuFseBz+pHbR3484rpZih5YAEK/kP0tQWcRUcDJ730ZH6Rbvol+rZ068PfNGkIFFpZl4d3vfjd+6Zd+Ce9617vwEz/xE/joRz+Kf/fv/p3naz7xiU9gf3/f/nf1avqTQNVmLEx7d+Naclo9Aag5aozEXO5CYdAEwHaCSRpkVRz6szPsY5+8CgBYa4WcwJMqOeUNyHhgYZZQymuo5iUDC3HilF3gwjIWSWkswk6aYoVPEo3QRAgLj6FQturVnTflXx/V8pwHokvnPQ95ffsKFNWEolj4gxe/JP/eIjw+u7WNZwAAdYsgVzqCocnSbywVcoLtErfY/XhodRY+jAX3sLjAPCw4bFM67tcwScbC9rFIQGMBBLMWUSzE7/kB4Lv+P8C3/rORHzuBRfQGZBy8KmmteWOyjMWpdwF/+z8BP/LbM62vAEIGFidPnsTdd9898rO77roLV654P9iFQgELCwsj/9JGhWksAlMhqupEuFF0Fvym0Arhdrrj+WWAsh/c0lugn//05cehqPQYz7JZLyQl4GQPeIuLyBhjUWOBhUkCnEs13TGukZ0IZTUWSaUiwprxcPAJgZjRBVxeEBcehX6/1g4RAI900g2RKpIwx7osmMp9ZfUx+fcW4aE1Wr/xIgDgJHRbXwE4qZBTNfp87PF0wGENLHwYix7oQnXbyqjGhQcWXe7MO0kviyTbpgPBOosoz2SuBDzw0QPaILsBmRHddZODVyVttG+MdlSNgrCp9Lu/Dzj1zmjnmiBCBRYPP/wwXnnllZGfvfrqqzh/3ntnMw1UWCqkb1hYFC1Y3WD7PUSYnKLoKwD3/HJ31+4gKqZC/vLNr9jfN4d74c6TVMkpCyyabCInZgnlvIZagU4wFgIYC0CoDJl1xiJk/jhXoqxXEmMYB1t4DC0PqLRlMqfIpRGlakbCHIu3NAeAy+3nwo2Jw+OzW2UeFqf1KrpMX6Eq1NIaAM4uUgFdSzUpX3hYTbI8GIt2vw9Lpdfk7ScujPyuqNH7s8OD/EmWnA4SqApRFMHLIoixSMCQi0FMhdRiMha8KulGdycBxiJCKv0QIFRg8Y//8T/GI488gl/6pV/C66+/jt/6rd/Cpz/9aXzsYx9La3yRUBHsWiusaYxnYBFn8Y0aWLjll/mNWVwcaZH90u4z9vcdI+TClZRJFtdYsA0i11gsFKgK2lIkeq3YlSEJMxZJWWpHZSwUJT2TLLbwtIS+MTv9kE3logReYp8QD6wJgcVQW8OVva1w4/IZ2xoTLp4srtiBRTmvQ2H074VlGliYKqHVEYeRsbAsQUc0unA+v3EFikJALB1vWz458jvuHdNVJhxYEJJMuSkgXxkS9Zl0AWd743Q25RjpF5KUxuJmDize+9734g//8A/x27/927j33nvxC7/wC/jUpz6Fj3zkI2mNLxLyuoqcRiehslYH4KiCD4BPnvtRAosY0eb4pNo+WGraGw6wT16z/98nIapCgAQZCxoMNEAZFWIWUcrrWCzSCYbIBBaRGYuAMkJ+HY2u85oo8HFBDERaAk62o9snzmO6b2yGew/bZ2NP/jUS5lib3XX7e0Uh+L3nI+gsvAIL5mFxunrqQEUIABwt10AsunnY0dRoz+60IT4HY/fci1uXAAC6tQxdG21GyEu8O2K56SRgDqI16XODbGVIgoxFkqkQrttrDvbiMRamwXR6uLkDCwD47u/+bjz33HPo9Xp46aWX8NGPfjSNccUGZy0Kqk/rdCAhxiKCbmR8UnVpQPaZV5+EojqLpYGIgcX+1XjCQibaatmBRQmlnIp6idXPK4PgMsi0GIuCYBoTh7WwzxdhEkvLy4Lt6PaFj65j3nB3kfVC2LGZhlO+6aOx4CkZa0jv/Ug6C4+xrRn0Pj+5ePGAhwUAqKoKlbAGg6oG7Ees6pomRnrTjN5zr+3QuaisHiz15YFFjwcWk9JYiAFMHB8LYDqMRS85xoJXJbXN/XgaC/G+DyP+PwSYy14hgKOzyCnM/jdQYxFDvBmJsRijz10Yi79886sAgJx5BgBgqa1wPgaL9HUYtKiGIyq4jwVhk7dVRDmvo84YC0UhaA6CvCxC9AgA5HuFqFoyAs4ZZiz2LCeysGDgRjfEJBb22jTX6M5Uy1PbYA/wlMxw/90AgEvtZ+XHFDC2deZhcfrI3UIqZHTnngMNKLdzeVbVtY5DBX6/qTpNjQq42qBppqXCwevPS7x7CrsnJsVY8ABG1UdStZEwBcbCDiyM+OWmvCpppF9IO0IqkAcWufLhNHjzwfwGFqwyRCeMsejvgrjt2u1d/bXw9rixAoux3RpvZCN43b+wTVtHv2PpGwAAimJirbknf45cCajQfHSsdAjXWBAqICRWEcU8bWHNsd8LqIgI09UQkBdvAsK1jLGwx2Es0jLJ4oyFNXrfivqGQIQNeuyKkDOezdg6ww46Jr1vz+XpvdlXr2Gt4ZFuDDG2TucGdphI+OTxd9iMRTE3GlgUuDKf+dQcOp2Fz/3G00zjHhYAUMmz/jy82nBSgYW9yMdkK4CpMBY7QrlprRgvFcKrkoakKbROj6CxmFN9BTDXgQVrnW7RB8GwDDSHLqmE2klA0QBrCIT1iYhijsURoLEYGAb2LFqB8313fIvt9nZ5L6R4LwmdBa8KMamWgpgllHMayrkCCKET/k43ILAIw1gQIm+QBSTDGMSxz06rERnb0TXGAt50A4tgfQU/PzGLuH35VqjGUSgKwe+/EFJn4TK269efAQDULIKFxbN2Z9NxxqKi0deu51gq7LCZZPkwZHvMw+LcwukDv6uyNERfsUbfJ23YHhbx2QN5xiJCrxC3tzGHdldmWhUSL7DgVUmW2nI2goNWuJYFQDhzrEOGuQ0suEnWwFBRYVG2azpE0wFuQhN28eULSZQbI0Bj8dnXnga0HohVwHfe9u5Rt7cwEHUWUcENslizMSrepBO9wgKeRpKMhSjClGEskmAM4jT8SisVwiaqhmWO/DiUl0VkxsJbX8HPbw2XUMxpOFW8BwDwpashdRYuFT2rzMPiFOj91XPRWADAQp4yFdf55zVHjEXXonPB7SsHg7sqYyyGCqGKp6S9U7yQhIcFhzRjEaG7qQvsihCioKBWUNC1gFf4g1clKeoQ25bmePSEFXBmjMXhA9/htPqmY+vtqbOI2Iwszo0xvhiOMRZ/8Qb1r1hUbkcxl3fc3hohb956DJ8ODm6QxQMLq+QEFqCBRWAqJAxjMSJsOwyMRZ2dP2HxpuERWERiLCTHZpeaenvT8PNbwyWU8xoeOHE/AODNVkidhUuZ7vru6wCAkxrdDLhVhQBAnT3TGwp334zpLjtpeDAWveEAlrYHALjn+MHPoCYIJ3vKBFunDxJw3eSYMGMxKtyU2KgEQKxKemt3M3r79CywOHzgqZBOkPsmEN36OkpnU44DjMWoxuI5pq+4e+ld9HDb7S1kLq8eMWgSwTUWBpvEzKK9g1QIYyyC1OlRGAtFdXYDfkjCy2ImGQsmmmUVD4TQxHq4wCIkm8NLN2VSIcM6SjkN33/XB+kp1CvYaIW4Bi7XbbVFK1JOF+lz4FYVAjjK/Bu8OuKwmWR56Ade2lqFolggRMOdR84ceFk179yfXUWZYCokgT4hHBNmLMRS07hpEGC0KunK/pagswgbWMynORYwz4EFb0TWN/z7hQDRd/VJiDf5zSUwFoZpYtd8GQDwbbe8D8CY21sYLMbUWJhDwBqCAGiyPCuxijYjpLE2zo1+QGARhbHQi3Ke+FNnLFISb7Lr0DSZaHZAF9trrRDdPKOmQureqRC++FvDJZTyOt516iJUcxmKYoXTWdhMjzO2tS5N9Z2sUGMor6qQ4ywA32MVJIcuFeJR8fD8xlsAAM2sI68fXARLeR3EolUNXVWZYCokgc6mHPwZ82MsTIM2KkvgnEk2IOPQIfYLiWiSlTEWhw+csWiJjci8em1E1SEkZZBFiMBYHMFfvfF1QOuAWHl8953vBeC4ve2F7hcSM7BgE0pXUWAygxzqY8ECC9DAohUUWERhLDTJEqwkAosZZizaFg0szD4tP1xvrbtXOMUdm2VSTwjAl7FYb9OqBTJcchqD5anO4otXHpUblzi2QZOeG8DasAUAOL14EYATWBTHAotTC3SX2AYzZ4tS1TVNeDAWr+/QOaikHh1/BQBaHcOF3D1FnSBjwZ7vuB4WgPOM+TEWYtCRlMYiAQ8LjiKzMbjeuhGDsYjhgzTjmNvAosrKTTsDh7HY7npElFEX36QMsnr7tCoFAMpH8JnXqL5iAW9DOUcXbv43NAZ74c7Dd579faAb8rWAQ8czB0BCVIDk7Jy3rtBJrh2U643KWMggCcYgiaqQJA2yzKHtdNi26OJpDY6DEAUDq4/tnuTuKMzYmtfpfajqtFrKAyJjwZmE+49TncUbzRA6C5eeOWusod3JI3cAADq8ZXpudPd+dpEuvEO1E72qa5rwYCx4c7d67pjry4q6BnDGYqIaiwkzFmLQkWAqJCnGgreKGOkXkmksbMxtYFHOc8bCwHKB5mM9GQuugN+/Ju9QSUhyBlmcrchXgVwRz954CgBwF9NXAGNub2GQrzjioiiVIYxqbbKdCjFLABR7p5pT6UPfDto5RWEsZCpCgPlkLITr1GGlt8QsgRiUgl1vSRpCuXXS9QK/PxZOU+MxF/SMnj1RWwOHseA6i656CdsdSYdYPe9c794++r193GBW/KeP03u/Z4s3R6eq83VmHqUO0Ftgfg+HSWfhETxvdGhwdNzFwwIAijkVhOmaeuoEA4uk+oQA4RgLreDppyKL0QZk8TUWAFDL1QGwoCUqYxHHrmDGMbeBBS83ldJYLJymQkGjB7QkezEM2o53fqTAok6/9huCvmIFlmVhm+krvvXi++zDT1bpzdu3IixecdxFuYcFK3ODVUReU6GzTpM5lS7+7SDxZhjGIoyHBZAMYxCHsRArfOJYp4sQrlOXMRawCrCG9F5ebUvqLNw66XpBpvkYKzVVSQEQqoPec+oWKEYdimLhD174qtzYgJGgbJ15WJQsgsVFWhHhVIWMLginanXbQ2WjemJ0/IcBHozF3oB7WHgFFhrAUiFdRZm8pXciVSEhGIsoz+MYdgVzrKRSITaD3N/LNBYumNvAosxSIe2BGRxY6HmH+pXd1fNJWtWjPWziYthipleVI/j8W88DWgvEyuF773zIPvzUAqN+wzYiA+LpLHgqhLEHxCyimHNumwJjLHpmQMAQirHgu7lDxliYA3nL8iDw66QXMbDopE7MAggLLKQZC7dOul6QCCz4eTVrBSJzpaoqjjOdxeevfE1ubMDIZ7d24wUAwGmiQmG7VK+qEFVVbfO79RJn5A5RYOHBWHSYh8Xblt0/A6qxmEIqJFEfixCMRZTncQxJNiDjWOEMsrEfQ2OxR78WssDi0KAiMBaB5aZA+JJT0TVNpnJhHOJOcpcqwVE+gj99leorqrgVlYKzsJ4T3N5C9QsB4plk8VQI03oQq2SnmQAgr7E2zkEBQyiNRUjGIpFeITF2SPkqZbzijkGEsPAMLHptCREYizQqQyTMsfh5VZOOQ6zWePex9wAAXtsPobMQqqPWmIfFKd0RCHpVhQCOXf+avjA6/sMAF8bCME2YGp2j7j1+wfVlxZwKsFRIV1UPqY+FxFyQJGORgnjzONNVdEf6hWQaC465DSx4KqQzxlh4qunDpgvi3hRifnnnTfq1cgTPbD0JALhj8Z0jh1+oc7c3A9udVrhzRfXpAATGgj6QousmAJQ01m3xMDMWliWkXyLskFRVCG4SEnAKC8+QsOth5kGGdQBOZYYUZMWtMoyFXRFCg3WxWuN77/wAAKCjvIm9IIt3l7GtNalw8STv/wGgM6Qlh+OMBeB4u6wy1uxQBRYujMUrN1ahKCYIUXHPMffgrqg7jEXv0PpYSMwFCTIWaZSbOv1CGglUhWSBxaGB47xp2M6bA2uAjuER4YdNFyRxU/DXbr8BALBKy9gyqKXxt1x4aOTQlXLVdnu7tCepA+GIY5LFNRasAyOxiiOTfJFNjH1ziowF16sMWtHaZ4tjirpDSlrAKSw8JgssqoWKzVik0i+EM1o+gQVnLMwhfU+RSXjf2TsAcwGKauKPXpRMh4ipEOZhcbriVKR0PZw3AaDMlPmrhLtvHiLxpgtj8dzGJQCAatZRzLmXWquqQvUtEHwsktL1+CEVH4v0GQvTMrHPmhMmZZAFOFVJptpyGIvePq3mkoFlAX2W1s4Ci8MDUbxZzpVRZJS9t/tmSJOsJAMLxlg8ayiA1gSxdHz/3e8bOVRVVbtfyJX9kIHFYsi/TQQPLLgy2yyOLCYltqMYWP0DLx0BnyBkGvWEZixCCBT9zgdE3yElbZIlLDwm6PiOlBZGUiGJellYltCAzKdPCAtoBr06gNEyUFVVcSx3NwDgby4/Enpsa0P62Z1ccKys7cDChbHgyvzr/DLsX53MIpsEXBiLV7fp81lSV9xeYUNTuI+FAoCM9tZJCzwVkqiPRfqMxV5/DwT0niBmObFUyAVWlaSofTTVIgCWDpftcjpoAYSltLPA4vCgIqRCLItIuG+G1CEkGVg06C7ws01KpVVwEYvFg5Rjzu4XErYRGVsoujtAP2QahanOGyywEPuEAEA5xwOLgICBTxBB/QGA8OWmWs5p5xxlYecTnKpTsWMU2C6Se9FePw628BC9AAv0ehytLtipkK7RtXdiwWOTCCzaWzQdpKi0SsoDXLzZ79H3LI6Vgb7z6LsBAK/sPx1ubP0G1lhwenrlLvvXXLzpprGoF+oAgC1jAECh16wd8tmYFlwYi8vMnGwxd9z3pdzttst1PZPQWXhUsUTCBBkLe743ywA0LCYk3jy14FQlvbV/I3y/EP4savlEdCSzhvkNLASBYWcoURkiWl/L7HqScE0be+1jXVodctvCO1wPL6h0Er7eClnWVFx0JvCwAk7egEylETkxR1MhVaYSN1JhLEI8cHEYA59Ok/LnT9gki03k3VwRUOj9eKK2CJAcdMJSALIlpzJj42xW7RQN1FwwMAfY7FK2zBpw8eboRP09t1OdRRtvotmXCCKZNmXY2sAmm41OHr/P/jUvNy26MBZcmd8wG05V12HRWbjc49c7lA06Vjrh+1KdBRYd7jUykcCCizcPF2Nhe64YdNxJMRZiVdLl3S0nHSKrs5hjfQUwx4FFMadC5eyU4GXhmQpZZA1/hh2gI9GPI04DMnuQzk1FALxl0Ynlm88/5Hp4RRPc3sIiqs6Cp0Jok2Zq5y3sHitsBzMkAYFFmowFEG9h9+g0GQopaSw6zNacEAWnF+g5dIsuqKFNsvzGJtF87HqbmjcVtAKISSfV8RTFBy/cA5g1KKqBP35JIh3Crtv1rRdBFAUFi2Bl+XYAgGUR9A1637kxFsfZLrFnNuJb108aLgzA7oAGbedqB5uPicgp9D7t8ABwEl4WSZabTpCx2OmzwILdr7WEAgtAqEpqCo3IZBmLOTbHAuY4sFAUxWYtpNw3c0XANtqRqJ5IMhUC4JquY6i3QYiGH7z7YdfDeb8QT9bFDzYjE7IyhFeF8MDCGtVYVAv0gTWDAotQjEVI8SYQb2FPgrFIouRVBLvuHS7is/I4scgn5JAlpzLXJkTzsWOlkwAU5HUVGo/eGVRVxRH9TgDAX78lIeBkY1tr0vvypIuHBeAu3jzJlPkD0ozeSHBacGEsOiYNLG5d9g8s8qwKpjtJxiJJS+8JMhZ2RYhRQU5TRjx44oJXJa23hEZkshqLjLE4vHC8LCRSIYAzOcmkC5KIOIXXPlGku/OydQFL5ar78Fh1y/4gQmARdUfHfSwIq7YwiyO09ALbwZgIwVgEpZriMBZxNBYzyFi0VV6Nk8exBTo+Y1AHEKLkVCqwCK4I4ec7UqQBuJugEgDecZT6Wby894zE2OoAgDUWoJzWhLbgQmBR1A+e6wxT5ltKM55XyzQwtiO3LAuGSnfX9xy74PvSvDaNVAgPLBJIhUxBY8E9LJQonkMe4FVJW52d8IyF6IM0h5jzwIK7b0qkQoBwi28SN4YQWDxWogv02xbe7nn4EdHtLSzCBE0iOGPBAgtqkCUEFgU6bqIE9KHgEwSxgkuyomgs4jAGUc43DsHoKRHwzqZcTGoVcJwFFv0u01iEZiwkNBYS5ljLBSoudEtPAMCH30YZtyZeR2cYEHByxoK1CD8leFjYnU1zKlT14IJwnnm7QOuhW+X9Qg4LYzG6I39t+zoU1QAhCu7zMMfiKLAKtx6v1JpoYJEgY2H0vDcZ9vVJqAFZgh4WHCP9QjKNxQjmPLA46L7py1iEMclK4sYQgpLHmcvmN55z11cAwHFGt/WsCItXVMaCibaarF+F2DIdABZYKoQgILAQKc0gncXUGIsExJsJMxYNtsMiVgEneGDBKjKkNRYywtYQdt6LrPOmF2PxzbfcB5hlKOoQ/+2lx6TGtsYYiVNlpyLCqQhxV/KfWzwCQuj1uaYz2/LD4mUxtiN/boO676rWwojjrhsKjNXp8KqQtDUWpkHt6oFkyk1FFsKLtbCvT3KpkIWEPCw4eFXSfn8vOmORBRaHD6LGgptk+adCIjAWCaRC1nQNGzkVhKj4wbs/4Hn4qQXu9hanX0h4xqKvAAPWcI1YxZGGUIslFlgEMRZ6AXatd5DOIlJVSAzGIFHGIlmNRZM/oiSPI1Um5AxrkhU0NkJCmWPVdBZYeDAWuqZhWaM6i8+9FdCQbJyxWLxg/6rj42HBz8OV+ZeI4L55GLwsxhgL7mFRxJHAl3JPnh4ncdJ23xQZkSQZC8B77AkxFo6ddzVR4SbgVCW1jP1MYzGG+Q4s3Gy9vcSbQLg8bS8JjUUdAPBEkT48Res8jla9Uysjbm9hwdmY9ma4iWjQccyxoABWfmSiXyrSiV1RTfSGPsGFojiTUiBjEdIgC5gBxiJh8Sa7BvyTVkkRuqaiktdsk6zmsInGQCKQsj02PMbW2XYWj0Vv4SDvbFpV6X3oteADwH0r1M/ipd1nAsbG2BceWLCKEMDfdZNDJ1SPdNnkaYG2XFXXtDHGWFzep3bmC4wN8gM3pevagYWkfXpU2POFEnuhB0C9Yph2aGKMhZlcAzIOXpXUNfczxmIMcx5YMI1F38BKkd4E0hqLoF1PgozF40y4eUvtPr+jcV5we9vvhaQ/S0tOl0s2iUlh2LHNsTRSAqCO5NbrJYca3e0GBDx8UgpkLFgqRJtQYDGTjAVLhbD7UAMd20IpB5A8arkQ6RA+tkETsMyDv7c9LE56BnNDa4jNDq1aKPHAwmfB/x9uozqLffKaf8CpF2FoeVznqZBjjodL16dPCEeeKfPXOvtAlaVRZr3LKSEHGAsujA3ysACAMgtGesxRMn3GQmhAlpT4MagyJIlnEmOdTRNmLJyqpEamsRjDnAcWB6tCukYXPa8ome/W+g1/B8Vhz2lalYBBFq8I+eBZb30FAJyqCW5vuyFtvRVFKMkLUXI67KDFAguF0MlArAqp5Yt2nnsvKNhJlbGIwRgkqbFIyiCLXaMWWzw05l3AJ8elPF1EpQScosDYbXwSws2N9gYsYiGn5qBaNED1W/C/7dZ3AmYJitrHn736hPfYFAWbpUWYioIcIThy5E77V90BLXH2C2DKGv3btjo78azrJwlz6Ng5syBhp089Qk7XvF1POcpsUe4z47TUNRZJelhwBFWGJPBMWsRy+oSkIN50qpJaQiOyHffgfRxZYHF4Uck7VSGVXAU5ld5YnjqLfMW5Qfy0CPbipTgsQBQUF3Fd03Atl4NCgB+6x1tfAYy6vV3Z2wh/vig6i2HXToXwwEJkLFTVaeO810uYsYiisZC1uR45X4KMxbADGAF6Exmwa9S06AKUU+i153QuF1BKlZyKnXTdAi8JfQU/z6nqKfQNuqB5VYUAQF7XUdfuAAD85Rv+Oou1Ek1nnLQUqIKlemcQzFhURWV+nGZ7k4QYWLPPpW3Sne7blryDO44K6zDah0XDzrSrQpL0sOCwGQuPuSCBZ7LRb8Dk2jCzgloh2VSIU5XURSfHLQII0JWwA8gMsg4vOGPR6htQFMUpOe37pUMkdj2inbca4xIWF2224ohRx4naUsALHLe31UbIFr1AtB3doG0HFsSkD/n4DlJhgUVgekaWsTCjBBZ1+nVajEUQKxAWnLFgO1tuisQZiwpLRyRikhXCHOtk5aQjqvQJLADg3mWqs3hhx79vyFqBXveT2ujn3fPpE8JRzzNvl/7e4THJshdTBdALsCwLQ5WK/u46et77dQyVPL1eRAEGCtIPLJL0sOCwGQuPuSCBZ5LP8xpKANETZyzEqqTLjV1nDpLRWcw5Y5FsCDdj4B1OO32681kuLmOzs4knrz+Jgemxq6wtA4U88NqfAsM992P2rtBjKovApmSzJTcQgr+q0If11vwFqZcU1QW0sIrrsiIhEVFMhIZdNEp0YrcDi7EdpErysAA0+gEistCMxXQ0FgPDwBOrr+Ohs7dTRkYGqkbZq0GTjqESrO73BbtGbbbjyqt0l8rbPhdY9YB8yeki0LoeEFgEl5qerp5Gt8GrNfynj++89f348s5/wD55FU9cfxKax7V8mrkhnmbOshwyAcxyaRloAa3hHlC/l/5w1k2yxIoHRcGV3S0oKp2P3n7iQuDLq0JKoquoKEwssDi4yL+wcQWnF1ZGtFZSCJoLEmAsODOtMYFv0uJNuypJa+Hy3ibuqhyhKXQZncWcG2TNdWBRtstN6QTFvSz+5RP/0v+Fp04Au1+h//yOAYA//7F4g6zQh/WBY++SOrysL6JlAVvtKP1CQu7oLAswumiplCUxDXfGQgUNLJr9pDUWUQyyGnTcYZiksd3Rj/7h/4aXOn+CH7/15/HTH/hB+fcpLjqBRVywa9S2aFBc1HgqhO66dELFyImYZPHUwaJ3YCEyFus3+ILvf42/87Z34399tAioPfz4Z/9+4BBPCh4WgONj4ZcKOV5ZBraAjtkA6my3v/NW4LmmigMeFpfo/82a1AJdyudBLI1WYinKBDQW7P3HPCyev34FP/wX34MauR1f+/H/Gu49g+aCBBgLHlgoFgssEhZvArQqyUAL1xqsX8j268EddgnJGIvDDF4VwnO1f/v2v43NziaGlo/zo9EHWpuOuMoLikKprzjiTQC725s4PTDx8L0/InV8LVfHZj+gusULYXPQ7KHnqRDDYLbjY4GFphRgQCKwmARjAUIX9zAP7Fggs9Z+C1CAz176q/CBReNaMoEFu0Yd5njKSwztydGoAwhj6+0hbiVEjrEQNBZvDvyNqzgKuRzq/Q9jR/0Cji8WvI8fdLDQ3cd3vvMnRn7cHQSnQk5UBWX+ccZY3HgF6O4Bpbrv+KaG8YoQ1q1YJ3JzSVHnuqYuOqqSflWIh8bi0WsvQVEstEiE1JM9F6RXFSJWhABIPBUCAHllGQauY7113WEpg9jkYQdgG4YssDiEqArOmwDwofMfwofOf2iaQzqA2/7pZ7BqEizV6lLH1wt1oA/sD/bCn4zv6JrrdPEOWrjZhMIDC5uxGNtB6koBfQCtoAkuKK/KEWVSyRVpearZp7vyMA/s2O5oQDqAAlzvvyj/HkCyJafsGnUJDYJLOp8c6T1tsrble/09tIdtVILy315j6+3RQAyQ0licqp5CZ+jdynwcZ9TvxNU334uP/8i78L3vOBV4vAgZxuLMAhXQmUoTWDgJLN8C7LwJXHkEuOM7Q51vYhhjLHYZi6QrclUXxZwGYuWgaF3KWEzKxyI3Or6dLmO/1A6G1tAWx0uBBylec0aCjIUxHE0jJomScgQdAJvd60BZ0iSLs4aKloyT6QxirsWbZcF5cxYxMCwMTa6wl7vpHbe3vfAnLK+wXRKR87JgFGiDtWcmlnsqRFdogNIaBGksApTgHFEYCyD6wj4WyBiE/t2Wvo1n1i+FOH+CJlnsGnUJzb2Xc3xypJ9Ft59DjVUkSTlwel0bzlZUjnpO4qZlYqNNq5BOV09LMQkcfDJvdAP6w7jA0Vh4PxtcmU/ULgaGAZxnnYEvfzn0+SaGMcaCl0TmQwQWsKhguquoE0iFCD4WAna7DeH7vXDvyTcNXuWmSWgsmBniYEDHnUYqpKpREfWN3ro8YyGmQRJsijZLmOvAoio4b84i2kLAU5GYpAHH7a1nRqg8UJRwAk4WWLRYCSAxS1AVIK+N3ja8YqETFDDIMBaERPOxAKIHFmO7IxPORP1HL30x/fO7gV2jPgssqoyR4JNjo2vgdJV6HkilQzwDi+BS063uFgxiQFd0HC0dlTKu4uD0c6MXPrBwGAvvaep8nU7mikJweW8LuMBKti/56KOmjTHGojGgZdoFVW73WsypIIRe194kUiEePhZ7QvXTWiukmNyPsRDngDhVISwVYgzTS4Vwp9Sd/obgZSEbWMyncBOY88CizDQWs8pY8HEVdBW6JvdROG5vEfqFAOEEnDwVorEFxCqinNcPtB7OqayNsxGksZBgLCzD0beEDiwiMgZjuyNLcSa7R9cfD3H+BE2y2DUaEMre2IEFS4U0ekOcrJwEICng9BpbiK6mxyvHoamalNU2hxgIhUVXQstRzOUBky54l/c2HcZi/etAP+IzkjbGGIsWS0UVNdnAQgOxGYsJpEI4Ezm2yIt28tfDBhZ+jIX4swSqQohRgarIb97CYLlARfwNYzMaYzGnmOvAQtRYkBlsTMSZlGoI4xbH7S1qYBFCwDkc1VgQs+iaV+cVC56OphxBbnvjvws7qURd2IUd5NAaAqpTirzWeyH8+eMyFpYFmH0QAEPQwKJWGGUsmj2BsZApOfVqKy9hjsVTLfx8Qc3BRPBAqBmFseBt0wMWBF5OeG1/iwbO9XMAMYErj4Y+50Qwxli0h/RZLvMOrQEo6mIqZIKMxZiOpzV0DPE2WpLNtzj8GAvxZwloLIhZQa2YO7AhSgIrBVrJ1Da3YZaYD1GQxmLOzbGAOQ8suEGWRYC+EVDlMQVwxqISIrBw3N56aPf74U8axiTLDizof4lVcs2rF5ixUTdIlBnUHwAYda0M0ysEiKGxcHaQTWGXS4gCS9/CCxuSVTRei3dYsOBqCICA3reLBV6LzxmAiIyFl8ZCIrDg55MxruLgmpBGLzxjwUWi5YAAJq/Q686rK3DhG+jXWdVZjHXu7Bh0ga7Y7o3+EFMhXXUSGgv3qhA+boBZqoeBDGOhaIAWPX2RZgMyjiOlIyBEA4GJLdbvJpix2KNfs8DicEKckGYxHcLLYGUmaA7R7e3SXsh+IUAkjQVfaolZdN2lFnnvAlOSsfANLNh7aPnwrqaRNRbODnKzvQcAIGYeOZP2jvn9F7+Q7vnHwa5BW/j7OWPBxZDNvoGTFVplIaexqLOx7Y3+nPeNkSg1HWcsZKpCFmKIN3uSKZeS3S+ETeg8HTKrOouxzp1dk6YaatKBhcNY0KqQ6fhYdE0nsNgOW/4uw1jEYCsIIbbzJjGqqQg3AaBWyIMM6XO/ym0MOtuUdfSCbY6VBRaHEqqq2It2pz97Ak4u3gyTCrHd3sByymEhdnANwqCDIYAua3ZEzJLrJF/ijpVBgQVnLPyYjThq8KiMgcBYbHX2AFB25mLl7QCAx9Z9mmiJ8DOhCgM2sXbsapwcqgW6kIglc/VciEZkXmOzzbEk7LyrlLHohmAs4og3O1wkGnAe3i/kBu/RcIEFFmtPOfqAWcIYY9G3WGAh6cJYyKmOxkJVAGtIG5ulBQ8fi4HlXNvdsIGFDGMRQ1/RGrZgMK8IYibf2ZSjUtBhDWkKZM1i14mY/k0sM43F4ccsl5xyR9AwqRAgZr8QHlg01gAz4JoInU0BAFbBlbGocP8HKyA1YzMWfhqLiKWmQCKMxY0Ofa1CSvjAmQcAANe6z6d7/nFwxoJdLyJc94KuociqJCoaFYvt9HaC9S1uwtae0MXXx8NinLGIIt5sRkiFdCW1HIt2vxAWWNTPAwtnqBD46mOhz5s6xhgLvkDX85IGWTkN4FUhXDeQJmvh4WMxsJxz7vFrLwtfxiJ+RQhPg+SUIkByqXhYAHRTaAcWnU2nKaWfziILLA4/qgWnw+msgadCuEOoLPLMYnu9FWAd64bKMapdICbQCNjpDju2cDOvlgBorrtU7go5JFNmLKIs7ISMMBY7Hbqj10gJP3TvN4AQBaa+gVe2YnhFhAVnLHggZuVHFnG+WFtmyTbGWmsHjE8UtnKalqfDSktAwV04aBFrRGMxNC0YFvNeCegVAghVLBFSIbJ+GcusuWCT9/ZRFIe1uDyD6ZBx3xRW3lwvyTpvOlUhHR74p6mz8PCxMOE8xw2vvkpe8GUsRhmdKOClpkWVXtM0Sk0BoFzQQYZ1ACwArzCTLD+dRS8Tbx56VMbcN2cJtnhT0hyLo6zRGzK0YAqguoVFqh0ITIcILdPzrMbeTaFfZblXg0ybsajTr2EWdnPolLfmithlr9VRxrn6UeRMqmP4gxe/JHH+ZBmLDrsGZIwpsnUWPdMWVAZWhvCxEQtgvgkyws3t7jaG1hCqouJ45fiIJ0wxoFcIIJSbhkyFEEJs8WYQY3GMTeYdU7juts5iBgWcB3xT6P+XJQOLnKZA4YwFFzdOgrEY87EginPOdtjAQoqxiF9qmldowJxWKqRa0GzGYrW1KudlkTEWhx980W7PsMYibCqkxnLKkfqFAPICzkEbTZVSrdwV0E2hX81zx8qAwCIMYxG2IgSItrCLY9FLtulPTqHB0vnKfQCAR9YkKHV+/kETsGLcb2yybee4xmK0z4aoW+DpiUCdhV6kgljAKXeTMMeyPSzKx5FTczaLoKnKAaM0N/AJvTe00Dfkr0nfsMArxINSLieqNLDoW0IJNjfKWn0y/XLMsBAYC8MyQBT63KyU5RYaRVGgK6yiRGX3RZqBha2xcAILwzRBVOd574Q17JNiLGKkQlhqRgMLLFKqCqkUdBCeCmmtyXlZZAZZhx88zTCLjEXb1liES4U4OeW9aCeWNckSGIsc6KTiNsnXGGNhEo9W9BypMxYRxJv2WBRAL6DByk0LGv1733/qvQCAK53ngt9LFN/FMcniGgvmeAorP7Jrd0ynnJLTQFtvRTkobuUVIT5dTcdLTbtCCaiML0BVyG2H0Vl0BWYkiLE4vUC9XQxFuObLtwDVE4A5AK6FMDmbBATGojVwKiuOhGialmM2+l1+j6QZPA0PBhbXW/tQFMcbqGc1YYYJpv3mggQYC77pSrOzKUA3rhbr27PeXodl9wvJGIu5hp0KmUGNRVTGYqXM+oWEpR85ZE2yBI2F6hdYFOnvLCTIWMTRWIRZ1MV8rqKgyV0QVToh/Y/3fJAepq/jzZ0N//fS887kGycdcqAqpDCqsSgdNMkK1FgABxkdGXOs9rg5FmvjLlkirakKagWeugkRWLAAJq8Fu9KeX+T9QjowTLa4iTqLWSs7Fe5xfr8RK4/Fknwwzd1uuwrXWKRY/eLiY7HRYh4RhN8HBPuDEPe831yQAGMx3tk0LfFmpaCDGAsgRMXQGuJGkZUMt33Em5lB1uGHkwqZvcCC56vDaiyOscAiNP3IwXeofMfqhZHAgj7kbrvHReaxQJQEGAuTvUfcqhBZp9Wx3VGLuSCWdDpB3LpyArpBd+u//4JE35AkTLLYwtNSuZX6uHhTsPWuSjIWwMHAwtZYeFeE2IxFNbw5FkeURmSOV0bwFHV+iTIWimLh2r4woZ+fUQGnwFjss0WGmMVQGwzen6fLxZtpMRaEuPpYbLT26K/NMojJu7SGqAxJmbHgYzEN1oAsLfFmXgOggQzpc7+WY+nGjLGYbziMxexpLKI4bwLAySrvFxIxsJDWWHTQ4IGFRQMLtwWlXpQMLOxdioSldxzGwjLkc85juyPuJljWHbOis+V7AQBfWQ2hs0iAsWiz3ehB8aZLIzIZW2/PwCIMYyFv580RxcvCCWCCn41aoQSwzrsjpnHcgfPa406KbRYg3OOOb0oxlJ9Nnrvdpl1uOmKv7aRCtmwjuSKIQZ+VUJqvlBkLHlgMU+xsCrA+T6rilJzyFdVLYzHsOZ9/FlgcXsy2xoJXhYTTWJxhOWUzcr8QtkPdv+YvMhR8LIjJGAuXiX6RBRaKOnSoaDdIOW/G0FjkytQGGJBf2Md2R24uiA/ZOgsJP4skTLI4Y8EWDRVFaKqjZ3BrRLbZ3cTADAjsxLEN2k6tvY851gGNRQgPC3u8ERqRdUKeR2W59GsNoQT7yG20vNroURHnrEBgLLaZbwrMEgq6/HRs2+jb75lWYCG8r5AKscdtFUFM+vzPEmPBg5xej445LfGmoiijAk6we9yLsbDTtIrjeTGHuAkCi9k1yOIsSljG4lyd55S7GBgR/q7aSUDV6c6+ed37OCEVQtiO0G2nulRyFuH9vs8Ex3cg1tA7oInDWChK+IV9bHfUZzbFNcGs6AfvpjvfgbqKq3sBDYYSZCxaLJbIKaPXQhRvLheXUWSLzPW2z2cJjIpbub6msAh4iAYJITYTYptjSZaAjow3QiOysOfJsbLC9aYwoSsKcP799PtZ0lkI9/h2l94nGkqhmmRx75geF1Cm5WPBAwu9CKjOZ7HD7m9ilmBFCSxExmI8bZlgVUinS5+NtBgLgG4MLeZlsWay6+WlsbDtvBfCtyw4RJjfv4yBL9qzbOkdNrA4X6epEEUhuLwXwSRL1eS8LIZdu9zUNOgD6p4KcSjSva6PiEzcgXixFvakG4GxAMIv7GO7I+4muFh0dhN3Hj0DzTgGRSH4vSCdRRKBBa8KYf/NKaMTrCjeVBQFp6rUayOw5NQe254g3PRmK3Z6O+gxm/YTFdoeWta0SkQtgpdFdyBn581RYt4uG+MTOi87naWGZAJjscsCYA1yLdM57MACbFFOi7HwsPPeZ9VTebXipEL6IVIhfC4g1kE78piMBSHEDnJ6fcZYpBlYiO6bQ7ah6dxw13ndBOZYwM0QWORn13nTCSzCpUKKuTxg0sU8Ur8QwKG//XQWgzYaTJFvGnShd9tB6poGYtEHd7fbOvB750BhcvLSWdipkIg0aNiFfWx3NOQuiGM15qdLVGfx5WsBrbijlLyOg2ssWGfTgjY6qdcE8SbgCCsDm5GJ1yZE87FjpWPIMw+MMA3IOJxGZOGrQmQDmKpO/7bt7tjixgWcVx8b7Zw7TQiMxR5baPJKuN0578/TY/dI6qmQsZbpvCy7olejpUJG5oKxTYbNkkRjLLpGF32TziPEpEFPNaWqEIC7b7LAoscCW3MA9F1S1TdBZ1PgZggsZth5kwc7YatCAEAjLKe8H4GxAGg/BcC/MmTYRYsJCIdDFlh4TPTcCbDhlwpRVcekKZCxyHu/jx9CMxZ891iEaZmOC+LYg//gSaqzuNQO8LOIUvI6DpuxoDuegjrGWIwxAKcrkiZZ3Jm03whljsUZESD8gg9EE2+GDWAW8nUADgVu4+idQGmZLlZrT0ufP1UIvTBs3xQ1HGNR1unGwlQIhkB6VSEeLdN59VQtX7VLOsMFFgUAXHg6tskw4jEWXF+RU/OAlUetoI9olJKG6L653r4OwkWubjqLm8AcC7gJAouqHVjMVirEMC30hnS3EUYNzpFX6I253grI+XtBxiRr2EFTGwssPCZ6hdDf7/UC6umDKkNiMxacMdiTO55PyHoRraHDtozbK//gXdTPoq9exVrDh/JNUGPRIUxnoI9aKS+WRhkA6ZJTsRSWf+4ywk32/oB8YzARURqRhU25LBdpCXZz3NtFVR2dxaykQwTvlOaQG7LJtUznKAkLfU9R0vOx8LDzbrNxLxUXbcYiVFWIogjum+OMhXvTM1nwAIc6FCuplZpyVPI6a52uoGf2sGO7b7rMzTdBqSlwEwQWfGKaNfEm74MAAOWQqRAAKGl0kdjyq5f2Q5BJFqtf5+LNXp8yCF4TvQr6+6YfYwEEV4YkpbGQZQwMZ/fIAwti5bBYGt2h3XviHFTjCBSF4Pdf8OkbkqDGogO2a9dGJ1hnoR6CEOKYZAUFFuLYZMyxWqOlpoAgqgzBskVpRBY2gDlSYt4uhst15zqLWRBwWqbj1ZIr2Qu0WN4sg3IuD0LYs6kq6TEWPGAZW+R7rHrqSFkMLKJ2OPVgLCJuLjhrVdHpHJmWORYHZcV1VDR6D65VWADvNjffBOZYwE0QWHA2oDNjGguemslpCgp6+MCiyvqF3BjPKctiMYCxMPowiWWXm/YGNHDwoqY1ZjHcDFKn+/UIAJw8eGTGok6/hhVvii6IprunwKniPQCAL/m14k7CIIstEj1C75Hy2KTOd2AWoZVFtq23bIdTkbHwM8dqj5aaAtF8LCKJN+0ARu48dr8Q4pLXtnUWjwLmlOcB8b7Xi2gz35SKHlK8mdcBpmvqKqrTgTRpeLAHPdbq/VilbqdCQvcuygmVIa7njKaxcDqb0vs9TeEm4GjkKhq1AViz3Tf9UiFZYHGoUZ7RVAgPLGQMgNzA+4XsjeeUZWGbZF1z2miLGHbQFvKSQYyFBhpYtIICC7+uhkDs3Upk8WauJNgrF10/l/cepzqLN1vP+py/zs6/J3d+1zHRa9BjNfGVMeFcQVeR0+hn0+g6jcg2O5sYWj6LN782rS2gxezJudbGBW6MRRTnzVg+FpIBjN0vBC6BxfF76N8+aAHrX5ceQyoQd+e5kr3zr4T0NCjqGgihz2Q3TcbCbpk+usgPCf35cnnRbk2+398DkXW8BZxnPGnGgjEnBd7ZNCUPCw6u4yuCBrdrrHmgv8YiCywONapsgRiYFgaGywI6JfBAJ4q+AgCWizSwOJBTlsXCKUBRAbMPtF0qS4Q0SEErAoSO02sHyXsXBAYWgYxFDIMsIDxjIDAWDU5TmiXXz+X776J+Fj31CjZaHu+fhEHWsAsDwJClQqr50cBCUZQRAedKaQU5NQeLWNho+/QzEbuvAlTpX1pyPZQQ4qqxCNsrBBg19JJF2ADm7CINLCy1BWs8UFY1wd57yjoLHsiqOUDV7MBiIR9OzFfMqQJjoaToY8E1FqP3oEHo+Y6UF1HW6wAAk5hoDELc956MRTzxJg8sdN7ZNG3Ggq0xeVBtxRoL+n0Zi0Im3jzUEPULs5QOiVpqynGsQqPjbtR+IVoOWGA7UTedhdDZVNwxFz3SNrzbYido5zQxxiKkQVau5Jj+WEVX3cu7T98CxViGolj4gxc98vUJaSw6AlskuoBy2JUWXQOqotqVG74lp+NK9Po5KqJzQWPQQMegi8epilgVQhftcsriTcd5Uy7wvmXpOABAUUxcZ30sRsADi2nrLISKEAAYWDywCMlY5DQQizEWijJxHwtLoc/NsUod1XwBxKTPf7jKEC/GIp5B1nhn08loLADNZBoLtiGwnW1FZIzFfCCnqcgzq9xZEnC2bdV7tJvezilbMXbGtoDTpeR00HYCC51OesWcCtWjbIs3Rer4dS4F0mcsohpk6UXsdHhDqJJnCfDJAtVZfPHyI/7n7zfcU0xSY+qiY/cJ0VAtHLwW3BuCu1lyHYRvyWm+SlkqDh99BX+f5eIyikKQF9a4CnAm9lbfgGHKXZOwzptL5artpXJp14WB451Or3zN38Y+bQhOlhaxYLDy5qWQC00xpwKsxLunqhP1sbAsC0Slz83x6hK1tOZeFmFSs2kxFmwMfEzpV4Wwe9RgXhYm+3tcGYtMvDk3cAScs6Oz4IxF1FSInVOO2i8E8DfJGjoNyEoafUD9giC7KVJSjIU2ocBCYCwcF8SSZ937e46/BwDwetNDZ8FZAWLRnH4UDLuOvmWsZTrHuCBSqhmZaHkO+JtjjVl5c4QVVYpjBeSD+ygOn6pFA+Crbt4uJ95O6ed+A7ge4EWSJgSPBlqFRDUJ4+XNQTjAWKRt6T3SJ6QFRaEB4qnaEi23jFJymhJjwVkTa8gCi9TFm3ReNLmt97BBP9W2y32YMRbzA55umCXGohUzFXJ+kfcL6fg3/vKDzVi4VIYIDciKrMbeb/doN0UyDy9jsctek1O86+e/7w7qZ9FVL2G74xLU6UXHBCyqSZbRExiLvOt1Xxjzsght6w2ENscColWF5HXVPl5WwMkDmDAOn7xfyFrTZaeoasC5h+j302yjPnQWzdaAlzfrWCiGW0QLumZrLHpppkLslunOM7HeosEDISoWi2VUClo0kyzOSCTMWPDgZjjkLdPTTYXwzeGgR5+tjjXAvqoGpEIyjcWhB6e1Z8l9sxPDdRMAzi9RxkJRLFzbj2uS5cJYDBzxZl6lD6jfLpXT5X2/lujABDQWIcWbAmPBxZt5HxfE9565FYpZh6KY+IMXvnrwgJFGaBF1FgJjQTwYC7ERGQD5klNRNOZnjsXeR9RXAEAvApMAhBdwdiKch1cnbHi1rLZ1FlMUcAq+KWIVUljmsphTHcZCnYTGwgksNpp7AADFKkFV1dFUSBRbb5GxICQxxqLP+oTUUmYs+D3a7as4UmICTl3Lyk3nHZUZLDlt9aN1NuWoFUoA6zh6KWq/EF/GwmlAxu2G/XapJbs7aEBgMSnGwuy7t2Qeh+hjwQyyij6BhaqqOJ67GwDw+Stf8x9D1MDC6KHDOx9aBdfFddwmO7RJFiBVanqAsYjQ3RQ4aEMehF6ElEuVVSd4ervYDcm+Gl3/EheCRwOvoCBmKfQ8UMxptsaiq6j0eUrjb3LxsbjBWqarhP6sktdh8UZkYVIhboyFOaRpRPH3IdA3+7bouNNNvwEZIKwvA8MOxNd0nf5doiOqOXTKd3lZ+pwiVmDxL/7Fv4CiKPj4xz+e0HDSAZ+YZ4mxsH0sIqZCAEBlqudrjYj9QkSTrPH682Hb1ljorPOi3yTPA4uBFZOxMGNaeudrsHsQyKQiBMaixXaQpQAXxHcdozqL1/Y9dBZxTLIIoYyF4jAWbukAR7w5mgrZaG/A9BMnjgQWwXbe44GF7YgZkrGohWxExhm9UNbhvF+I16755DuoCLG3B2y+IP2+iUJg5DhjAasYmrk8oLEA0mEtbB8LMbDYAwDoLGUYWbzpxliIQUYExsIuNVV1NLv0mk4qFdLum/bzspZnGyORtRCbkmXlpu54/PHH8Wu/9mt4+9vfnuR4UsEsum/ysVQjpkIAJ6e87pZTlsHiGQAKfZjH84HDrq2x4BOI3yRfYQHD0Or7nzNtxkJVw6VDBMaCuyAG2St/7x3Uz6KjvOneJj4OY2EOABCbsSBW3pWxGBdvHi0dha7oMIiBra5PoMl3SnoRqBz1PMwtFWJaBH3mBROasQjZiCxKALPEvV0Ge+4HaDng3IP0+2mVnQqMhW0hbxYjdDh2UiE9LvRNwyTLpVfITpd3ZKU/qxa0aKmQnMtcYAcZSqQ5gDMmS4UltHr0HkqbseCbw/bAcFKS3H1TNMnipnn5KqClG+xMG5ECi1arhY985CP49V//dSwtuRvszBI4VdWao1QIAJQ0uoBtuDW7kYFeAGon6PfjJaeCxkIlNGjwy3eXeWBBghgL2V4hERkLACiEWNgFxqLLAotqzt9T4P3n7gDMBSiqiT960SUdEsckizcgE6tCJMSbmqrheIV6OfgKOHnQtXjW08OiOWjau2m3zqZA+DLpcU1IEKJ0UeX9Qtqmz+dup0OmpLMQ7m+u6SFWhFSILqRCNLZwpmHr7eJjscvGXeDVYgU9YodTF/ZSaNDmdX/6gZ+/XliyBfJpl5vyjSshwNESnU/X8kzALc7NEzLH4i3jp4lIq9rHPvYxfPjDH8a3fuu34p//83/ue2y/30e/7/yhjUYM34WIqMxgKqQTsyoEAKr6IvYMYDtqvxCA6iya61TAefo9zs+HYmBBF3m/XWqNOfMZZOB/Pr/uppblNGiKE1gUF4F9hGYseP+DWt6fsVBVFcdyd2PTegR/c/kR/P33fOvB80Py/OPgLdPtqpAA8abAAJyunsZqaxU/9Tc/hYJXue6gBZw9BegG8Lvf4nqIybqq1gv1kT4lXaFcu6CH25PwQEjGJGtoWhiaNDUXhhk5wbpK7uMl3PcfHnY9JkcM1M+ewtu3H8evmAbUSe8cBcaClzdTxiJ6KqTH/4ZUGIuDPhY8ICqxajExFRJNY+HCWLjoK/6/j/w3/PqLv4JaiSCnud9/Pabx4mkxIH2DrFJOg6LQwKKep8H9Gh/fCGMxGeHme//jd0IhOfy77/gU3nf27lTP5YXQV/x3fud38NRTT+Hxxx+XOv6Tn/wkfv7nfz70wJKEKK6ZFTjlptFv+oV8HTBC5jXHsXiWNmcaF3AKgQWxaDDgR0tXGVVqkoBo2Y+xECPtqKkQINzCziY1ohcdF0SJHcXt9buwufMIVtsu5mJhW7eLYNelrdNFw7vc9KCb5buOvQuPXX8s2FZZ1wGYgF/KhL2fCLHjqJdRmhfCNCITmZEwqZAPXnwHPv2KBkU1Ac39GgwBbEHHX+vAl575M3zje75P+v0TgcBY7HSZ06tZCuVkCnBLb3qPdHhgkYaXhYuPBS+TrTBH2Ep+NBVCCIEiwzb4MhYH9RV/8NofwdRuYC9g7wIAt9TuxOdB71WvICQpKIqCSl5Hq29gUWeBBXffFDUWEzDHury/CqLfgEVUnF84GfyClBBqVbt69Sr+0T/6R/jc5z6HYlFuR/mJT3wCP/3TP23/v9Fo4OxZb9FYGnCqQmYnsGjHLDcFqCsiOjH6hQBCM7KxklPBIMsOLHwmv4UCDSwsBGksfBiLkc6PEwoseOoBBISZFdUlAgteVtZ1o90TYCzsxcIquKYd3FILH3vnx/BdF78LAytg5u3s0B4hPpO/AgW31m8d+VkUc6yD4w1+BnkAoypAPsSi8M6TF/DH3/sXePnGNd/j/sMXPopXCwa+9vIfTz6wEBiLfSbmyyml0IFaMaeB2M6b7PNIRbx5sFdI26DjrrGUYaWgg7CqkIE1QMfoHGic54qQjEXL3AQUoNr6QfzGj/yI99uqOXRaK/gP+Erqwk2OSkFDq2+grNF5oQkTDVXBwoQZiy9efRQAQHqncHKhntp5ghDqqj/55JPY3NzEu9/9bvtnpmnii1/8Iv7tv/236Pf70LTRSadQKKDgYkk8STipkNnRWHQS0FgcK68AO0DHiNGXwqvkdNBBi012llEEYPjmu2s8sFACFjWbsXALLFhQoqiAGmNCkF3YLRNg3UCbbIdBiGYHSX44UqbaItc23VwgGcUgiwc67DnyYizsKove0N4hKoqCW+q3BJ9jOfywgGiVGhxhfCy6gt291M5XwK0rJ3DrygnfY7761Yt4Fa/htdaLod47EQiMxX6fNozz803xQkEXGAtu0550YEGIUy4pMBYdpkVaKNDAolrQAZKHQnIgyhA7vR25wCIkY9Ej24ACbGyexkruIo7WvNeVr27TBT1t4SYH3SD2YRo5LBWWsNvfxbquY8FNY5GiOdbj608AAHLGbaGfnSQRiiP60Ic+hOeeew7PPPOM/e/+++/HRz7yETzzzDMHgopZwWynQqJfs+O8X4jb4iYLD5MsIog3zSF9gP06WtaLdCIhQYGFzVi4pEJE4Wach0K2KkSY0Bpsl0/MolRO9niZ7kwMuAQPSWgsVB5YeGgsWCpkaBL0hpPxZEiCsWhKBBbcHCuM62YYvOvchwAAr+lNWFFda6PCZiycclM/3xQvKIoCXWEai7TKTc0hwPQ2Yrlpn3VkrbPnzN5wmJS1kBZwhmAsukYXlkqvlzVcwmNv+Ws5ODOWtr6CoyK0jeDdgNd0feIaixd2ngYALCp3pHYOGYQKLGq1Gu69996Rf5VKBSsrK7j33nvTGmNszGIqhE+ecVIhp2usXwjiBBbMJGnMy6IzbMFiE9bQoIGFXx54kQUWUAYH21aLkGEs4qRBgNFGYH4QJrQWYfeGWZKqeDhZo4GFpbRBxj1A4gQWXGPBrr1KinYTPRGVvAbOnodpRx4HUfp3cITxsYhSERIG3/bgjyBvEezqKr763GdTOYcn7OC5hOZQzjfFC3mVBukdHoMnrbEQq0yEwGLAWqbzxml2VUTYktMQjAXvXUPMAmCV8Mib/pVw/JlIuyKEQ2wbYZvVjbtvphxYbHW2sNm7BkIUnMjflco5ZJE5b04BhBBHYxEjFXKuTvuFWGrLfzH3w+IZ+nXQBLrOhNBk7nW6omEwpA+N3051qUQnFUUhaA99dBa+jEVMcywO2YWdT2haHk02iRJLTqF/mgUWUEx7gbARxyDLZiy466n7tVAURRBwTiiwiOi6CYTzsehG6EcSBovVZdw6pJ/xV1/8w1TO4QmBsegMuW9KuJbpHHlW+dPjgUXSjAUfq6oDTEwMAAYLLI6U6XPGnxfLCFkZEoKxeGOXpmqtYR2AgkffCggsmPZosqkQunkdcd8UGYt+uuLNJzZoGsTqn8TRSj2Vc8gidmDx+c9/Hp/61KcSGEp6qAoGJrOAzsC0yYGo3U0B4OISDSwUxcT11l60N8mVgAp9H1HA2WST1IJeQnfATJF8dvL1kkPn7nZ9unpOkrEIWtiF3aNjryxnVrRSqdDdE4CtcR+RJHws2H/zmrfeg7MA+5JulnHRiei6CYTzsYiTcpHFrTnK1L3afD61c7hCuOe6LKVQldEjuKDIG/+BbSqSDiwGB0tNAcBU6M+PVlhgkefdPem9Kl2lFuRjIeCNXSbINahA6NWNFnba3mlXXi01OfEmT7ePpUJcNRYpBRbXaWBhti9ipZIPODpd3BSMRXnGmpDxAEdVWNlYRNRLFbuW/dJuxH4hgKCzcAScTdaltKaXpfpDlHMFEEJ/v9fzMeqR1VjEgSxj4JLvljUrqhWd2v0DlupiYDOeJgkCrwphu9Ci7h1YhO2/ERe9GCkKPsG3+gYsy/+axBGJyuIdp78JAPC63piszmLIy5sL6Jk0AK/lozEWBY3152HVTIn7WLiUmlqWBaLQ8xyvUAEzd54MnQrxZSxGUyGX9mlgUVSO4LZjNHX0mA9rYadCJsVY8M3reCpk0HQ2TCkbZD2+QS0gzM4tWK5Mt2DipggsqjOWCuHjqERQvY+D9wu5uh+xXwggVIYIjAXzlKjmKtIdLRUW5LjaXHNMlLGQ1FgIfRuIKddpUtdUKOzar7fGLNX5+a1h+MmeayzYLrSkefdLCOtmGRdxRJV8rBYJZg7jBDCy+I4HfxQ5QrCtq3jixf+e2nkOgAXUXVUDYZ/xYsSFpsQ7CsOi7zRI2HnTpWV6o9+lPiEATtTqAICcpiKvqyBmyEZkfr1CxjYXvHdNTTuKh26hovVH3vQ+jyPenHAqRLT11tk8wnUWKTIWN7o38Nb+WwAAo3sBy9WMsUgddlvboQkzYLc0CSTRgIwjz/qFrEXtFwKMNiNjaDAHzVq+hs6QjjdoQVFAb+b9ng8lKzIW47v5pBiLsBoLoW8DrJL0gqYTeu03WmM7p3wFUDS5MYzD6MEC0FOY86QfYxHCzTIJxBFvFnOa7UnRCBivHcCkGFgsLR7FrQN6/b70wu+ndp4DYItog32+hKi2a21YFAWBY09RUmQsnHvweouyEYQoOFJ2AqKqYOsdXmMhjNuDsdjqUvFmPX8cD95C0yGP+lSGOOLNCadC+oZtg7+naegoiqOzsA2y6omf/8mNJwEABesMYFayVMgkIFLbs6CzaCfguslRVOnDvdGOEVi4mGQ1mb9DLb9gaywCGQtCb+aG385JFGUZYyJPHlhoMR+K0BqLIvb7jsZCVveSV2lgsTXewE1RwjVCEzHsOd0q4TiaumHSqZA44k1A7G/iP167KiTFVAgA3KLTgPqVhkeX2jTAFtEWS1/Ilje7oSQ8S11FSVFjIQQWzT0AgGIVoQv2ApWCBitqVYg5oJ4ygOfmYndAU71HSifwwEUaWLx8vYH9jvu91JxaKsRELV+z01tUZ5E+Y8H1FWqPmtotZ4FF+ijoKnSmsu/MQDqEBzdxhJscFb0OALgRq18ILzll9tTm0J74FgqL6ErmvDWFpjBafQnGAjios0i6KmTYprX4XnDr22AVpRtslVhQt+22Q5MteR2H0bUbkBGi2M3d3FAL4WaZBJyOo9HuW9nUTdTW7GHxjtMfBAC8oe2lep4RsB15E+wzs0ooR5wHSroOYnH3zRQCCxeNxWZ7DwCgYvS+rOQd983QGgvACSiEZ5JjYA7QNukzdqpyCsdqRdxytAJCgMcuuc97/JmYXLnpqI5vRGfR2aZ9kOyqkOQ1FrwipNukc3nGWEwAiqLYu+3WDAg4ucYiiRwyb7YTqqvgOMZNsoQ+IZVCXdpXQAMNLBp+gYWWo86awEGdhb1biamxEHPWfjoLF8ZCI2VX3wg3lFlQt9ffO/jLqF4Ww57dgIzaeXtPjGHcLJNAJ2YZaM2lv4kbJhVYfMeDfxc6IdjUVTz18pdSPZcNFkw3LXoNojQg4xAbkXUVNQUfC66xcFI1Nzp7AAANo0ya2IgsdFUI4MwFLozF9fZ1AACxcjhZpWXeD16kOotHPfws+DMxKYOs6pgJ44jOon2DBRUs9ZuweHO3t4vX914HALT2KfucMRYTQtV2RpuFwCI5xmKpSJXZzcFe9DfhGoveHl2Ih100WT68nFsEl6UETfTcCbDjl+tVFO/KkKQYC00HeIfSvs/CLuyOuHiTt4KWwUKOBg+NgctEGjWwMLq2hwW18/Z+RCct3owrqlwoygVCMlVISWClfgK3DOg5Pv/1/zvVc9ngGgtCrwGxSnY5fFjQRmSMsUg1FSK0TO/SADyneAcWXaOLrlvV1zhU1Ul78uNdGIvV1ioA6rh5pEo3HQ8F6Cwm7WPhVB7Se9dhLJiXBZ8H9KJrH5Q4eGrjKQDA+dpFELMKRQHq5SywmAj4rmAWGAs+BlnK3Q9HSvQBa7s1w5JFoQqw98H+VWDQthuQFQVXwKCJPsfMnFpBE5xXZYiZUGAByC3sLlUhYeyVF/I0qGsNXc5hl7zuSb8fAGDYQ8du/ubegMw+vyQDkBTiloHKBkKyVUhJ4BaNLgCv7n899XOBEIexMB0L+ajzAG1ExhiLVFMhThDBU4YFddQttJLXAKsATdHZcWG9LLwZC14RQoZ1eyfOGYsX1vYPBKqWRdDsT9rHwik3BUTGQhMYC6Sjr2BpkDsW3wkAWCrnoYVsapc0bprAojxDJae2nXcCjMWJCqUGe1aMwAIYbUY27NoNyPIKXWjzmgo9oNNkTqW7CV/GApBgLBKowZYJLITdUXs42gpaBsslGli4dzits/NH0Fhw8aZV8K3EqUkyAEkhrnGVk7qRqwpJm7EAgPtOfgAA8IYaI5UoC0Gs3LLo98SSFwuPo5jT7EZk3QlVhfCOrKUxZo/OZQqKKn3uwntZeDMWa20aWFjDJbuM8sRiEedXyrAI8MSYzqI9MOyCs2k4bwLjjMV2usJNFlicK9O2GtNOgwA3UWDB6cbZSoXEnzhPMWvpYZx+IcCoSZagsdAV+oDLGHlx++lAGtSLsUiq3BSQM8li5yNaAV0zfGBxpEhZnj5pJtcvZNhD22Ys8r679kmnQuJabcs2InMCmPR3m9/+wN+FSgiu5xQ8+9oj6Z5MeC6a/F6Po7HQVVu82VWUFHwseMt0J7BoMofaiu7CWAAosPJ3eS+LsbnAl7FYGhElPsiqQx4d87PggWteU1NrZDcO0XkTgF1yuppjGouUzLH2+/t4ZecVAMCR3N0AssBiouB047ylQs4usn4hSuvg4hYGYjOyQdsOLHKgOxOZseaZxXAvKLCYKGPhwxiwibOXy8NkTchqefkH/xgTklkYomOM0dAxNBZ2VYhV8F3EZRmApBC3OZjdLySgiiXtXiEiThw5i1sG9F7//DO/k+7J+OKpqGgYvDdNyV6Uw6KQ0wCWCumpavKMhd0y3QksWqwvTiU36hbKF1Yd9OfSAs7c2FzgwlhcazoaC3HRtI2yxnQWtr5iQmkQQDRhNEAIsQOLHU1Dr7OVGmPx9ObTICC4sHABwz6dq6ddEQLcRIGFLd6coVRIEuLNC8usX4hqYLsTg7UQTbKGXTuw0FhZmQz9zV0iu0bP/8BJMBYhNBYt3qKcKKiF6NuwUq7aO8YDO7QYPhZiVYjfdQ/TijwJxDWukk3dpN3ddBy3qHQReHn36XRPJHTuFJ1e41WFCIxFWk3IhMCC9zdZKLgHFhozjZPXWAQzFqtNylho1vLInPkgCyyeX90f2TBOWrgJOGaHhkXQNyws5BdQYfPhWm9XMMdKNrDg/hX3n7jf7p2SMRYThNjWdtpoJWiQdbRcA7Ho+7wVq1+IY5JFBMZCIXRSkdk9FrnFsBXEWLj0CAAExiKBByOExqLJhU5mCdUQk9FCMWe7DR6YSCfCWLCKgKGFvpF+wBy/KkTO0IunKydFY9974mEAwBuqf8fM2BA6dzbs3jRFOz8fFrQqRBBvDtrhe9P4wcXHoscCi/oYpc9ZF95iQN5905+xGFpD3OjRdgX13LGRFgin6yWcWSrBtAievCx0ZmYMXm1CHhYARj7DzsCEoig4WTkBAFi3Oo77ZsKBBe8Pcv/x+7HNAouMsZggxsU100THbpkef+JUVRUq4f1CEggs9q6gP2hgaAsIQzAWLMUxMPv+B/LJZJy6nRJj0VD4Qi7X2ZRjoZSz+yN4BhZhDbKGPXRGfCy8xyPu3iZRGRJXVOk4bwb1CpFzek0K3/bA34VCCNZyCl55K0XWQmAs9rkhm1mKPA8UdQ2ECOWmIAfdbOPAxcdiYNHAYqk0FliwezF0I7IAxmKjvQECC8TSsVJaOfByNz8LpwHZ5FIhmqrYz4Ut4KxRFnhV14Ed2scjSXOs5qCJl3deBkADi4yxmALGxTXTREtoQpYEeF5zrRHH1pulQjrbaDLqUQVgmXTikpnkuUvkwApKhfBdihdjkYTGgj3Afgs7ZyxYDEUDC/nPZEHocHowFZKMj4Vf2kFTFdQKcjbZcUEIiV8VIpm64YH3pAKLM8cu4OKQXvO/evq30juRC2ORQzmw2soLo1Uh3HQuwXSIi4/FkNCfrZRGd978ubEM1jpduipknLEY7RWy3qY9QsiwjpXKwQ2HW9+QaaRCAKHklJtkMZ3Fuq4B29TAKknG4unNp2ERC2drZ3G8ctxmLJar0+1sCtyMgcUMMBZJNiEDgKJCF9EDXTZDvcmifdM3b7wKAKgqOnpDSq3K0NK8r4VhBeyadC/GYjo+Fk2hb0MYId1CKefdeClGVciIj0XAdbcFkSkzFn3Dsln2yM6bRbmx8gBmUqkQALhFob4DL20/kd5JBMaCiyBLY9UVYVDMCVUhvG9HkoGFnQpxGAtToT87Uq6PHMrn1+GQPQ/9qFUho91NRXMsN4r/IcZYPHttzxb98vtrkuJNwNvWe5SxSC6w4GWm9x+/HwBsxiJLhUwQfMGYhcCik6DzJgBUdHqzxuoXAgCLNB3S2H0DAFBTcqF2jxWeFyVBqRAvjUVClt6ApMaCiTcVOiFRWlr+M6kJjMVGeyw/L1Pu6gajh7bgYxHEDnBBZNoCzo7A9CXRhMyrgsmyyMRTIQBwz7GHAABvKFvpnURgLLhvSlmP1tkUYIEXN8jS2O48SVtvF40FUejCf6K2NHIoL50fDOixkRgLy6QNyYSfr7coY2EN61iuHJwXzi6XcHKxiKFJ8NQVes5JNyDjcCoP6bNyskqD1XVddxyAE+xs+uR12tH0/hOjgUWWCpkgKmNe7tNEkuJNAKjl6gBi9gsBbJ1Fq3ENALCg5m3BnsxiUi3QSdIMCixmhrGg528QtmiGTIUUdM3Wt2y1PRgLoxcu7z3sCoyFv48FIHpZpHtfcxZBxijNC3yshuWkVbzOA6TfK0TEt93/owCAazkFr15OqdspC5z7egEGs/Su6DW/V/hCZCx6GrtvE2UsRn0s2v0+FJWO+0R1NLDgi2qvFzKwEBkLcaMxxliQ4RJWqgcXTEVRBD8LGtxPugEZh+2V5NaIjCMhxqIz7OCF7RcAUMbCtAh2OxljMXGIbW2nCUKI47yZkMaC9wvZd+tZEQZMZ9Fkk15VKzqCPYlJvpank4qFGWAsCvKMBf97aSok3GfCnQYPdDgtLABgzIOs+6ZlAtZwpCokKB0wqUZkdofbGIt9Oa/ZVsNeYlMxsCjqkwsszp+6HefZZvmvn/rtdE7CNT2s6okQxQ7Go6CgC03I1BRSIWM+FtdbzvxyvDq6QNrl/F1u69/CgLMPfhAZC7H8fExjMe5hIYKXnT7CjLIm3YCMY7xtBLf13tR12FciIYOsZzafgUlMnKqcwqnqKex1BnaqcikLLCYHuypkyoxF37BgsK5eSVSFAMAK7xdiJGPrzUtNa3rREexJMBaLbJK0lIAJZaKMhV93U963wWkIFfYzqeh0ojiwQ1PV8OkQdj0cH4t8oDHZpNw3uwOanohjWqUoiuNl4TFenicv5lSoE+53cCuOAwBeuvFoOifgVUicXbAKqBaiLwLFcYMsIB3GYiywIFYBeX30vuSLaq+fh6bQe0SKtRhhLNj51BzAAiWRsfAKLLhR1jNX99AbmkJVyITFm2OVh8vFZRTZtbjOr1dCjIWtrxhLgyyWcshFZBSTxPRHMCHMinhTPH8SzpsAcLxCH6yeFbK0cRzMJKthBxZle6KXyXfXCnQCIggILAIZiwQDi34DsCz3Y7jGwnIaQoXVvVRZ6/SGW3fZsCZZ7O+X9bEAJteILKlKjSAvC8cca7K7TQC4++gDAIA3kZLOwmYseGlmdNdNYEy8yQOLpDQWluk0BWSBxVab3seqVTpwuHNfqFgs1AFIum+KvULGKkJMy8RGe4MOx0O8CQAXVso4VitgYFp4+sqekAqZNGPBq0LoPawoCk7m6Bywytm3pAMLJtycJQ8L4KYMLKabChG9AJLqQGf3CyFx+4UwjQUbVy1XCaXQr5eo3oDEZSy0BB4Ou16ceJecco2FyXqGWKXQC9pigbWtN/ZcxsCDm3CMhVgVEtSjRbYVeVwkVakR5GUxyQZk4/i293wEAHA5D7y1+nLyJ7CdXvnnG911E3BpQgYkZ+stMh/50cBCQ/nA4QVdhc7mjYV8HYCkSZbY3XSsImSruwWDGCBEBTFqnoyFoih2OuTRt7anJt5027yeKtJxrSfIWHSNLp678RyA2RRuAjdVYOHUGMfqqRETSQs3AeDMwlEAgKm24r3RWCpkIV+zJ3qZBbfOGAtFNdEb+gQXk2As9IIzaXkxBlxjYbIJLQJjscQCi6HVQ2/87wlbcmr0QAC7KqSolkacBt1Qm1gqJBmb7UDGIoSmJ2nccvYenB3QueFzT/yX5E9gO72ywCLC/SaCWnqzwIKVTGOYUCMym/lQ7Odxu7sHAMgpBwMLRVHse4OzeFKpEFfGYly4WQegYsWlKoRDbEjmlJtOJxUiVlCdLlP3zVVdB1R9pMImKp7dehaGZeB4+TjOVM8AcBiLLLCYMPiHTgg8FemTQNsOLJKbOC8s0dywovax34tBhZaWgHzVnviq+ZpTFZIPvlWWyk5N/l7PZ4IL1FgkZPDiZ5JFiKOxYLszYhVDe4sslWoglkdOOWxgMeyiryiwWDBR0g9O4OOYVCOyuOZYHAsBXhbdIROJToGxAIBbQYP0F7dS6HRqO73S/1KGLEYqRFcB7rxpBxYJMxa5MsDux90ufY4KqrvglAdJvPxdTmPhxliwHhst3i69Dl1VfFMbDzGjrKeu7NpB9rTFmwBwskYX/nVdp/NBwEZBBqK+gm88dlosFeJSOTMN3DSBRTmv2Z/pNPuFtBOuCAGA0wtLIIR+lLH6hSgKUD/naCzyiwI1HTzeWr4IQvgk5BNY2E3IhEmQECenmwRjAfgv7EIJaIPt8ohZCr2DpLbeHqZAERiLtjDxFPXg3c2kxJtJpSiCxZtMJDoFxgIA7lp5LwDgDXI9+Tcfc3qN0zIdAHRNhQYahNuMRVIaCxcPi33WMr2ouZt68b+lpNGAXioVIrKXY4yF2C59qZL3Ze9uPVrFkWp+RBw/NedNYX05Xb8FALCa05LTV1wf1VcAwE6bzmcZYzFhKIriUFVT1Fm0EzbHAmi/EIU1/7m6FyOwAIDFs05VSLEeippWVdVWqe/LMBZi23TLAAgTWSbGWPgFFs65W6yFtUpKKOjhHomFYs67P0KEqhDRw6KSD54YJyXe7CXFWJT8UyFcJDotxuJb3/N3AACXcwRXr7+Z7JvbTq/0Po/TMp2joNFFuAeThhZJVYWMeVgAsDuyepl6ldmcVmBOwFLiTZG9HGMsxFLTIFGioih4gKVDAGp3P0mDNUCsPHTWl5PLtwEQGIuY6Jt9PLtFfVbEwMJJhUzfzhu4iQILwMkPT5WxSNjOm0Nn7YqvNWPYegNA/ZwtLlsoLoduYa3wwKIvw1gImgQXc5zY8Ass2LkHioo+Y0pKeiVQ0zAOausd0IhM1sfC6I1WhMhU4kxIvNlJWmPhId6M20E1Lm4//06cHhIQRcHnHv+/kn1ztli3eGARk7EAnMDCAjBQkFxgYXtYOEFEiwUW1by7qRc3iMorIVqn+zAWop23zE6cNyQDqKg57LMcF27izdML5wEAG5qGYQIeFs9uPYuBNcCR0hGcZ+8NzJadN3CTBRa2icsUG5G1UxBvAkBRpTftRpx+IQBQP2u3Ea+WlhzGQnIHqdqMhc8EZzMWYmAhmGolxVj4MQZcXyHsyCq58H0bEm1ENuyOeFjIXPOJ+VgM5VNifuB5ci8L8mlWhXDcSugC9fzGV5N9Y66xIHQOIFY88SbgBBYA0FPU5BkLIRXSYczegkdgwXfsGgkRWEgwFmRYlwssbnEYi9qE0yCAeypkpbSCHAEsRcFGPv6GSSwzFQOnrCpkipgFLwtHY5HsxFlmgqnN8Z4VYVE/56RCSkcdalpyvCrojd2UYiyEVAgPMrRCIgInAP6MAa8IYQ87MaOZFY1oLOIGFhEYC55aaA9MGKaHX0cCcFJi8aaMoEZkSYlE4+DOpfcAAN601pN9Y66x4IGFWbLTB1FRyuVs8XBXURLUWLDnV2iZ3jNp1dlC3n3nzedXxfJ4HtzgwVhYxBLEm8GpEAC4/VgNS2V6f03awwJwbxuhKipOgX4+67n4iz7vD/LeE+8d+fmsVYVM/upPEZxe/U9fu4QvvuZtglPMafix953HycX4pUHjSIuxqOXq2OwDLzW/hF9+TMJK1wOkuWG7+NUqR9Ed0r4hsjtITSnAANAc+KjTdWEy4fBx3TRME//oz/8Nvu2Wh/D9dz8kNQ4AUhqLFjtf1Hz3QlG3O5weTIWE11hw8SYxC3KmZILyvdU3UC/7TyzN3hD/6WuX8b3vOIWzy8FVJxzdEGXHfliQdN6cJmPxLe/6O/j0lz+Ht/IWtv/441jx22kWF4H3/UO5/DnXWHCra6topw+igrpv5gCY6KpKglUhBxmLvtUBNGCp5BVYsL/FZKnBGBqL7e42htYQgAIyXJTSDqgq1Vl89oWNiQs3AdF5c5QRP6mWcJm08O+H6/ibx3451jme2XoGwKi+ghCC3fZsVYXcVIHFsQU6Qfz3V7aAV/zd9boDE//se+9JfAxpiDcB4FjpBN7oAzeGr+E/v/Ra7PcrWQSF/DKGJlVYy+a8daWAPoCW384p51JuantYHHww/q+v/w2+uP3v8cjmX+L77/6M1DgASGksGrk8ACNyvttXvMk7Gcp2nTWclukgeSkzqpymopzX0BmYaHSDA4v/9LXL+JeffQVXtjv45R96u9y4AHQSM8iSdd6cXmBxz6334+R/J1jPKXjh5d/GB7s9/xcUF4D3fSz4jbnGwqJBdBIaC+5loWg9ylgk5WPBWT6BsRgS+t4rpbrrS/jCarFAe7+/D8MyoKs+f6MHY8H1FXksA9CwLLlgPvy2I/jsCxs4Vpu8iNEtFQIAF4sreKTbwlcGm/jKS/859nmOlo7i4uJF+/+NrmFXwmSMxRTwv3zHHbj1aAVDH8r4hbUGPv/KFq7vB0wmEcFb6iZtWfy3bv8hfP6/baBWNvBj7z8PBTHSCdtv4L3Ld2JgObS37IKiK/SB7sgwFsQEzCGg5XzNsV7boer8vrIJy7Jo9YkM7MBi7+DvuMZCZ4GFVUQ5Qt27bypkkdawY/8aLacNSvEMu04qRJKxAChr0RmYUgLOr75BNTjrjXD3d9IGWV5VLFxjUZxiYAEAtdy7sI5n8MdH7scHLzzoftCVR4HLXwa235B7U5uxcJxe45adF3Oq7b5JNRYJMRb7lKnEwmn7RyboZuFIxT8VYgxLUKCAgGCvv4cjpSPe57EZi46jD9FLtr5CM6luQlaU+D+99ywsi+BDdx2XOj5J8M1i37BgmJbdBfgnvvlfYuWxX0H/6G2JCNO/8ew3jugrtlmpabWgozDBxn1+uKkCi7PLZXz8W2/3PeZPn13D51/ZssUwSYNrFuJSoON4+NbTsPa+Cds7BD944ZtD0dxe2GSLj6pAugwzrxYBArT8RGSi+9ywywILb3MsnmtV1D6uNbZxrn5U7g8Q+4WMg2ssNE7fliJ9JgtFpypkZ5yx4IHFsAN0toGKzwQLMB8LVm5KghuQiWPYaPQDBZwDw8KTl+kYed27LJIyrnIsvQMYiymmQgDg7tMfwqurz+ALigZ86OfcD3ryN2lgsXdF7k05S8aC2kQYC10D6fN+IQlqLPbZ38TceAHAUrtQAByr1F1fUrHF8QT1Qh27/V3s9nb9A4ucsNByZlFgLKwhPZfsTryga/j7D18MPjAFiM9ru29isUyf5SNH78JPfvjXUzvvrAk3gZtMvCkD/uFsh5x4ZZGGpTdAb+q3n6EL6SNvxhRwMogKfdnSrZzKDHvG7a1FiFE7P85HY7Hd27C///r6JalxAAjQWIwGFlEn+WJOhWrxwGKMsdALQI22TpZafIZdtHn/GDO4ZTpHUHqB47nVPfSGlK3jTn2ySMpqm4s3+4Zll5amcZ64+P67vgEA0FMvY6vlUS7MF939q3JvanQxBNCzm97Fc94ERvuF9BQluaqQvdHAYmAYUFT6jJ6oLrm+hGuU2n0DS0V6TGBliGgC1921f7beooxFv0uf4Vkpo/RDXleRZyzFJLto32hlgcXMg/vRp8dYpNe90WnEI5nTD4Cj0Jcfa1GjE0XX8JngFKf/gE3d+jAWe0MnsHj5xmXpsfhrLHjfBhZYWKVIgYWiKKjm6Xk6RhsDc+y+YR1jpQILQWNBLPlUiNOIzH8ye+RN577Ybg9C9cxJzHmzoNsZIbd0iBNYTJdMfc/pW6EYy1AUC7/34pfdD+KBxd4VmuoKwrBnV1wBgI5iaEO2cRRyqt0vpJNoYMGCJXb/brScZ8gzsBCqInhgccCNdhxaDuAl1jywyBWx2qaMRY8FFrO0aPrBS2eRJmbNwwLIAosD4DfwXncI00q+WVla4k3AacSTOGMRosTQdgI0A3L445UhPhqLtuV4c1ziuV8ZyDAWdnlnMXK+eyFfsy3VD+zQwuxqh126OACARMt0+/wlOS8L8b7oG1YoP5ekjKtUVbHvfTeGpTOcflUIx4nC3QCAL1726BsykuqSCOaNrtPZ1MyjUijENnEq5jQQ3i9ETSiw6LccwXGdBhbXW/S+JlYOlYK7MNJZVE0sF+lcFMhYKIrDWrAmZ9CLI6WmioJAUfKsgG8YJ2nCOGt23kAWWBwAr4MmBNjtJM9atFJy3gSA+y8sQ1MVXNvtYnUvvojLXkxCmCLx/hY9I+D845UhHoxF3+xjiD37/3zCkYJtkNU4uKMc69tAUyHRPpPFUgHEpJqWAyV29eiMhWw6oCbBWAxNR1/BEYaVs0WVCSz4fgLOXkIi0SRw/zFa0vd681n3A/QCUKXdK7EXwKSZBmAZTmfTBOy8AaqxcFqnq8loLHgQXKzbwfn1Jr13VOJdgu+UWxp2199Q7puMsSB60U6FWMM6lsp5aGq8AGxSmIYJo+1hMSOlpkAWWByArqmos+AijXQIv+HSYCyqBR33nqYTwaMJsBZRFPolxjgMrACNiiRjcb092gxqu78BaXDGgpiORTEHZywUFnCY0VIhABdwelSG2HS5HGPRFg2yZBkLCffN51f30RmYqJdzOMHKrrdD3N9JloH6NSLrMJFoEgFMXHzvnR8AAHTVS9jttNwPkmWkWKDdsKt+4gs3AarxIRZjLBQFsIa00ioObH3FWftHNzp7AACVeIvCXVMhMiZZNmPBhMWw0DN7tLLEkHPdnBXwDeNkGYssFXIowG/kG63kBZxpiTc5HmLpkEffjK+ziKLQrzAmYhCUCpFkLLg6nKNlhGiylisBKjPKGU+HjPdtsKJP9DXB1vvADm1RyMMHQagKgZWX11hINCLjupsHLizjSI0JlEPc30mKKv3Epry76SwwFg+cuQ2KuQhFMfEHL37F/SBZRopXIQmMRVzXTYAbZDHGgu/q46ZD7MBC6EXBWqbnFInAom+GCyxsJ14a/K9b9Nms5pYBoh+qwMJhLCYfWMxKAzIgCyxcwSO/pBmLoWlhYNCJM2lLbw7ul//oW/EZiy57OMJM8iW2+xiSiIyFNvpwXG2wXOugTt9XCfF3KYq3zsLu20AXTGJGp6apSZZHIzJxRxsk8BuOWXqHZSx8qkI4g/XgLSv2BCTLWAyEVtRh0mJe8GtE1p1yd1MRqqriWI7qLP67l85ClpGynV7ZImnGd90EOGPBqkK4MDRuOoQHFosOY7HTpc9PXnXvbAoIGotByFSIPppeWWU9SWoaLSufpZ14ECq2xmKCqZBWxlgcCiynFFiI7drTqAoBqM5CVYBL2x1shDRBGkc3Qiqkypz6DJIMY/Emm7DNLqtN17p2vlcKXoHFeN+GGIzFQkn3ToVwgV+/4W7UJcLoosN9LKx8eI2FRyrEtAieuESv2YMXl0MHzl2hLLQYs1cI4N2IjBAyE86bIt7NdBavNb7ufoBs1Q9nLFi/iDhiYRG03JT5WGhsYUmMsXA8LPaYF0xR8w4s+G6dEKDCeheF0lgwrA9pF9UiqP/FrNhUy6A8xaqQWWJ2ssDCBfaOLmStfxBabDeW11TkY5aZeWGhmMPdp6hoMW51SCdCKqTK+ioYJODaSWosrjZoKqRonQKYQPLr1y9Jj8fu1zFuksU1FhZd3IgZvdPkiK33uHgzXwYqzNAraFc77Dk+FiHEm05qwX0ye3GtgWbfQK2o466TC6EDZx5gaqpi1+nHgRfD0jcs8EKsaTtvcnzP7VRn0cZb7h17ebpAVmPBFn8SQ9MjoqhrNmPR1dj7xQ0s+N8iaCwafbrYl3wCC+p3Q7/Ps27Lcv1CRp/51cEeAECzKPs6SxR/EOxUyIQCC0JIFlgcFqSVCunY+op0J80HLybjZ9GLkFevMcbCDEqFjDMWpjtjwatAqvox5NkO5qWtBLwshl0YADqELW5WdLOiWlG33Tddd2iyu1qjO+pjIZl2CGrsxdNiD7CqIdsETjJw7goloHHLIwFxvKOTr2iYNW3nTY6Hz98JmDUoqoE/evFrBw+Q9bLgjIXOfVOiVyGJKORU1oQM6HIX2bi23i6MRYuxCNWce8t0gHq6cBamABpY7PX3YJGArru50VTIOgtGyDCcnfcsgAeLk0qFtPoGBqxFxSwxO1lg4YK0UiFpCzc5HrQFnDEZiyiBRZGyChbCMhbuzptbPVp2tpQ/budc39yVdDoEfDUWbcGsKBZjUfJpRAaMLj4+GA57GPLuplZeOu3giDfdAwtujMX1N07gLCfe5EK0pNwwvcSb/H7La6rdZ2HaUFUVR3Wqs/ibSy46C9lUlzFmyJYUY5HTBI0F+3zGK6DCYNgF2qxBo6Cx6Bi0Kqbm0TKdgwfnKqGBtkUs7PcDuvuOBRarPTpv9fuHyxwLGHUfnQT4GlXMqaml16NgNp7eGQOP/JK29ebtdJPIrfrhgYvLUBTgja02NpvRdRbdCGZFiwW6wBIliLEYd97kqRCHsRiaQzSHdFE8Xj6BlSL1DFhrh/Cy8GpENuw4pX9WDoAWr9zUqxEZ4FDKAXR5xxR2mlYhVK8QAGj2DVhjpm6mRfAYYyw4kxU2cO4lbFrl5WPheGXM1rT0zqPvAQC8sv/MwV/KproYY8ENspCkxoIzFryiKA5jwf+GfA0oOQ6bXZMGK4sFb8YCEBpxDYFanh4bxtabAFjv0sCm06ZBzGFkLCZl6b1tl5rOVrpotp7gGUFajAW/2dJOhdTLedxxnD7Uj8VIh0TpaLlY5IFFEGPBJhMfxuJ65zoILBBLx/HKUZyu0k6LN7qj3ha+sE2yxlMhjr0yMelYoi6cCyXHx8I1p8zz8AGMRZvbgVsaAE16PFy8SYij4+F4+XoDjZ6BakHHPUx74wTOcvd3J2HTKq9GZI675+zsvADgu29/GADQwhto910CZplUV0o+FiWBsejyLFUcjYXYfExIe/UtyljUi/6MRUUwiOLum4Elp4J4s6GqaLN2APst+kzNkvFTEESTsElgZwb7hABZYOGK1AKLCaVCAOAh3jckhp9FFMaizgILRR3CMH3yjBKMBXffI8M6jlSLuFintHPT3JIeD4p1+rU3Lt7sCp4CRVTyGtSI7n6ij8V+fx+GNTapyKRCCEHb4oFFHnldlXYbLOY0Www8vljzz/8955fs9MJyyH443QRdNwGnEZlXKmTaDcjG8U0X7wXMKhR1iD952SUdImOSxTUW3Ok1KefNkbbpCfhYuJhjAcDQou+5XJJLhbRE980gAafAWKwxDcpKcQV7LKMza4umHxzGYjIaC9sca8aCryywcAGnlXY7wwPUchzwmy3tVAgAPJSAn0UnQkMoHlgAQKPvQ8lKMBZO6+QlrFTzuOso3fkP4PQOCYSneLPn0NJmPLMiqrEogxA6se/190YPkNrR9m0PizB9QuwxeHhD8M+f6ysAZxLqDEzXDqPjSLoE1GusUQLZSUBVVaxodwIAPvfWVw8eIGOSxTUWoPNJcs6bmu282eUusnF8LHgqRBBuAoAJOv4j5brvy6sFZ8cu3eFUYCzWcvRvOVY6YWthlw5JnxBg8k3ItmewIgTIAgtXLFXozW1aBPsBjZ3CYJKMxQMsn/7qRisy8xJlol8qOYHFbtfDBhkQGIvxclOBsWjzfgFLWK7k8fYTF+gvtDa2O025AfmINxsCYxHHYp1WOahOv5ADJlls4entHWRO7PF0bddNK0RnU3sMLt4QlkXsVBjXVwC0w2hOo0GMTDqkm1Bn0/GxjjMW3YRFokniHUffDQB4efeZg7+USXVxjQV3ejVLidj6F3UNhDtv8pU4CcZicZSxsBT6nscqdd+Xizt26VSIwFis5un3SwWqp1os5ZCbESGvDCqFCadCmA5w1nQoh+cTmyAKuoYau0HC9FMIQntC5aYAjWBvP06V2Y9FZC2iaCx0TQOx6LXb6/kEFjZj4W2QxRkLwgKLUwvLANNDfH39LbkB+ZSbOhqLeKV/lbwOVYF3ZUhBEMJ50eUjrpvF0Iu4k15wJrTXNlvY7QxRyml4+5lF++eK4pSc7kiUnCadouCMRWdgwjCdUsRZM8cS8V23UZ1FA6+jMxzTWUhqLEwALTCGyCom8neKqZAuf+9EUiEOY2GYJohKA6Pj1brvy8UdexTGYp0ZiNX0YwBmb8EMgq2xmFAqZHsG7byBLLDwBBcMJamzsKtCJsBYAM4u9ZGIOgs+0YfNrStsB+VqKMThyVgIk4zNWNTt9FQO9G+S9rLwMcga6dsQIz2lqgpqYiOyvltlSID185iHRdhF3M3LgqdB7r+wdGDX59h6B1c+JZ2iqBaday1WhiTZQTVpfOiWdwBmGYo6wJ++/PjoLyU1Fi1BMxPH6VVEQUiFGCAYAvGqQlzMsW50GlBYmuVkbcntVTachTWErbfIWDDvlpIyWsF0WFCdOGMxe3beQBZYeGI5ZK2/DPjNlkZnUzc4fUMiBhYRqwEUQhet/b5PPf0BxoIFcCJj0RxlLACgyrws3ti9JjcYScYi7mfi24gMCN7VDntoCx4WoTUWLt4QXLjJfU1EhDGBi3ofeCGnqfZ7ieNN+jxJQtc0LGl3AAA+9+aYURZfhLu7QN8jRTciFs4BRE8mFZJT7SZkABNwRvWxMPpAkwbzYgOy9eYeAIBYGhYK3m3TAdhaJZGxcA20RYiMBQuANetwBhbc0rszMBPV53lhFl03gSyw8ASfeJNMhbQiNPWKgwfYgvLy9Qb2O+G1IvZONeR4VdBr14jBWBiWgesd2iLdGi5hibWyXy4cBwBca0UILHgO2hwCxEST7yATMCsasfV2Ncni1s8egYXRHRVvhmYsRr0hCCGCcHPlwPFhKp9s5irB+9ZNwJm0liNp3LdCdRYv7j49+gsx1eXFSAliYWLSe7ycQEo0r6lQoNnC4Z6qRGcs9tkzpZeAsnPPbLb3AAAKKUFV/ZeMqp0KcTQWoRgLletE6PWctWqHIIjBYkdCGB0X3D131kpys8DCA2Fy0LLoTFC8CQDHakXccrQCQoDHLoVnLToRO01qCmUdmn7q9ACNxVZnCxYxQYiGhfyyXSp5qnIKAHCjuyE3GB5YmAMneOENyMbKTePAtxEZEFw5MHScQMN0NhXPDzipkDe22rjRGqCgqyP6Co7lEIGz7WORQGdTDjexadRAdlL4zlupzmKfvIrecOy6BTFSY+XNQDLMpaIoKOq6o7NQVLv9eGiI+grBw2KLBRYa8W6ZzlGJURXSVBS7HHd4CF03AaCgq+D7g0mkQ7JUyCFD2NbSMuAai0mlQgBRZxFOwGlZBL0hFdaFneg10GvX8gssAhgLR7hZx0rFoUq5l0XD2JQbTL4KcEdCng7hDchGxJvJMRbugUWAl8VYZ9PQVSFj3hD88373uSUU9IPvtRIicO6lIKp0a0TWmXHG4jtuexdgFqGoffzFa0+N/jLo8x06VUgwS1CU5P7OYk4Fsd034zAWB/UVAHCjQ58bXfFPgwCjGgubsejvgvj1UWGbjDWdvrZeqGO/M+q5cligKMrEKkO6A9MOxmctAMsCCw+k0YisPeFUCBDdz6JniC3ew403p9LJoB2DsRgVbjoPzZ1HaEqhL+tloSiC+yYTcHLGQuMNoeKbFdWKORBTphGZF1UeNxUy2tiL62pE/woRyyHcNzlzlWQqpObSiCyNACZJ5HUddZXqLD77xpifRVCqazhuyKYn0tAN4K3TGWOhKtF9LFwqQgBgt0sDi7zi3dmUw1lUTZuxMCwDzaFPeTjbZKyzwOJU9dTM7sRlUBWuQZrgwuu8pk50syqDLLDwwEoqVSGTFW8CDmPx4lrjgG+AHzpCuVTRZcfrhxxLhbQ5G+F6kBxjYQnCTQB4x8mL9But6V91ImJcwGnwvg28IVQCjIWQCvFtRNa54S6uOyDeDDceUbxJCLEb0In+FSLCNCLrMuYqyY6jbmLTWa4K4bhn5V0AgOd3xnQWQakuMRVilhItORdNsnqKEr3c1MMca48JUgs+LdM5xHLTglZAWffwdhHBNhmr7HM/VTk1s6JEGYjuo2lCvEZJBalJIQssPBAmBy0L3kp3kr0QTiwWcWGlDIsAT4TQWXSFhlBhra7zKg0OuoYkY2GZgMUWGG2UsSDD+ggdemZhBcSi/392/ZLcgMYDi+FY3wYrYfGmm4VxqQ4U2Dj2XYSnRndUYyHZ2VQ8P0DFm5e2O9hs9pHXVLzrXN31+DC23mkYVznizYMai1nrFSLi2295PwBgz3wFA0NYOILKiYVyU5JQAzKOgu5UhnRVNUZg4W6O1WCl2mW9GvgW470ypHQWLozFrDpKyoBvHDspNyKb5WuUBRYeWLEn3uTKTfmNNmnaiu9aw/QNieNdkNfoRNGRZSwM4RqzVMiInbfw4KiqihwrRXtx65LcgMY7nBo9WABaPMqPaZAFjLZO3+vvwSLWwYP8drXDHqWxgVCdTTns1EJvaLMV7zxb99z9hwmc0xBVOu6bLlUhIYOqSeK7bn8PDWy1Lj73xjPOLyTEm40ENT0iDjIWcTUW50d+zNMYFZnAYqxXhpT7JmMpucbiZOUkdme0B4YM+DVInbFoze41mt0neMoQDbJ8hUeSsCxiU72TcN4UwfPsj4Tws3A8BcJPgAUWWPRMnwmOMxZm30mDAPYkYzcgGywdiMgr2hEAEbws+o7Goq0oIHZDqPg7yIWikwqxiIX9/v7Bg/wEfoKlN7EKodMBdmqhOwzUVwBOKqTZMzAwXIIgAWmIKt0akTnB7OwyFsVcHovKbQCAP3/tK84vRlJdLoyB0E0XVilRHcmI+2ZUHwtzCDRoMD8u3mwPqYNuNe/fMh0YTYUQQiQZCy7epK9dyp+AwTwgZnE3HgQ+Z3ZSdt+c5XRRFlh4gE+8Q5OgmUDkKdY0T6rclIP7GDy/ui8dRXeEVEhYFFlw0DN8AgvBFMdmEhQN0HRYxMJaew2A04BMxArrI3CtGdEky+ihyZ0oiQ6QXAIGWTkAGlTik1P229WOWHpH6BUiWHoH6SsA2oOBd0/d7fizFr0UjKvcfCxmtbvpOO5eojqL57aFypBS3REJuzlwGskasoko5oR+IVF9LBqrALFoKrJybORXXYMGFgv87/MBn9sMi6BvWHIdTscYi5JCNw7Vgu5a0TTrqE6oEVmWCjmEKOY0eyJNwsuC32SaqtCc6ARxul7CmaUSTIvgycsBNeUMvRj57hJjI/qWTypEMMVBd4/9jE4wW50t2nqcqCDGwoEH50TlJABgs3tdbkAuGosmYwcUi44jTndTwKH2FUui5NRj4WnbO9roPhamRbC234OuKnj3+brn8aqq2KZj2wH3dyeFrqNujchmvSqE49tueR8AYMd8GYYp7Er9dBaiQVYCmh4RRV0D7A6nKtMt+bNQB8DHvHgGGDPB6luUAVmSCSyE+aIzMLFckkiF5EroKAp2WZWWRuhrZnHBlEF5UqmQGW1ABmSBhS+SFHDym6yc16ai4HV0FnJlp3Hobx5YDEwffYqmAyqbhDhjMVZqCnMRgHZggrnAdv6NoaSXhQ9j4ZgVxdRYsB24XRnitkML0Fh0xKqQkItrKadBF0S2bz+zGBgUyrpvpsEkjDuF0vNEM2SbNL77zgeopkHr4K/ffNb5hc1IufSxMZJrejeOYk4FYamQHp9b/NhCN3iUmgLAgNDUznIpOLDQVMVmOdt9A8sFCfdNvYh1xkzU1Dy6Pfq3HNbAwhFvplxuyl03Z9DrIwssfJCkl0VnCuZYImydhWRgEUewV2E50yHxYSwAh7UYYyy4cNMcMFvfsQfn9iN0Au/Jelm4+FjwSd4ymL1yTI3FItM4GEOJklOXHa057KAXg7FQFMUWcALuNt7jcAJn7wDQtIitwUiWsXCpCjkkqZByroAa3gYA+IybzsKNkRIMspKuCqHiTSEVAoT3svAwxwIAgwcW5YMOrm6wfRwGku6bioLVAk0hnsotHGoPC8BhbdJmLOYmFfLJT34S733ve1Gr1XDs2DF8//d/P1555ZW0xjZ1JNmIrDVhO+9xPMQYi2ev7UuVQXVj7B7LPLCwAq4b11l4MBbWoA4AWKrkRl729uPUy8JSG2j3JT4bN8aCBxasb0Pcz4Uv6saQTpCu1O8iW3ha1x3/DoaOYMMcxXkTcBZrAHhIIrBYkSg57QraoCTLQMUqlvFzzTpjAQB3MZ3FszeedH7oxUhZFmD2E+1NI6KY0wDmvNnT2D0QtuTUh7GwFPpex8p1qbcqCyWndiMyv1QIgPU8vRdP5ev2fDuLC6YMKhPSWOzMcOVMqMDiC1/4Aj72sY/hkUcewec+9zkMh0N8+7d/O9rtiN70M44kbb35TRbX4TEqzi6XcGqxCMMieOryXuDx3Rj57lqe7toNErDoBzAW1nAJNRcB163Lx0GsHBSF4LmNS8EDctNYCB4WQPzPhe/SfBuRlZeBHDMZGvOy6Bj0GVKIAhA9kkkUTy9oqoL3nPdvbw3IpUK6Ap2bpDaIj7XVN2BZBEPTwtCklQCzrrEAgA9dpDqLG8bLsLiewavqx+iBAILGItlUSEFIhXQ1FrBEDSwWRwMLy7JAVBoEH6/Vpd7KKbc0R2y9/bCao+M/VVx2duIzuGDKoDIh581ZrgoJFTb/xV/8xcj//+N//I84duwYnnzySXzwgx9MdGCzANt9Mwnx5mC6jIWiKHjwlhX84dOrePStbXzgtiO+x9tVIREm+Wqe7trNoMDiAGNBrzcvNbWGddfJRVVV6NYyTHUDL25exkPn7vA/jw9jQcwiCrpqNzmLCp3Z6vb9AgtFobvarZep9fORt9m/ajMlv27pAJSIjAW9t+49vSiVcpPREIkdR8MapfmBMxaEOF1/OWbZeZPje+98EJ98SoeitfCFSy/gm2+5z9u23aD6GYtraJJmLHSRsWDvGzYV4sFY7Pc6UBR6D5ysepcvi+B6pU7fwNs4Y9HdwdObT3u+5mXuulk8gic3D3kqJGKvkPX9Lo5UC8hJzEV9w7RZ8Fm8TrHu7v19OlEvL3vfcP1+H32Brm40GnFOOVGEaS0dBB69TiuwAIAHLy7TwELCKMtmLKLsnFm+1EIQY8ECCw/GggyXsLzo/tBUtKNoYAOv73g4HYooco2FyFhwPUNypX8LRR2bBjUR2ul7XOP6ORpYjO1qO8zzQ7Po9Y6iM+AswEMX5RYAmcA5rY6jxZyGgq6ib1hodIfIs8lUVZJlRtJCrVBCFbeijVfwZ69+hQYW3FiKp7psEzjnflOIBhA9NY1Fh9nU254tMrBMwcNiNLBYa9IAmRAVK+VggyzASYW0+gaWCjQlN7AG+LE//zHvF7EMzqnycXyuPbuiRBlw9jOM8+ajb27jf/r0I/h/fOAi/tfvvjvweL4maapiP/ezhMhPsGVZ+PjHP46HH34Y9957r+dxn/zkJ7G4uGj/O3v2oDhoVpFkVQi/yaaVCgEcQd8zV/fs0j4vxBHS1XhgoQRcN6bFsBd8vQBCiNCAbMkzGl/KHwcAXG2uBg9o3CBrhLFIbvcoum96itU8drUdZhKmsLLBKC3K//b9Z/HeC0v44QcO5sndIBM4p1mpURO8LMQqpFnre+CFC5X7AAAv7bGduJjqagj3peEINxVSBqAkrLFQ7XLT/3975xpjR3nm+X/VuZ++ne62++522xhwDNiAjRsPiZIBb9AoikKS1bBaZpdhpMnOjJEgntUGPgwMu9oFJdpohhkEI0VJPowmkKBlUJBmJgwQRzAYYwNjDLED8aV96Qvu7tPnfqt698Nb71t1Tp9LnXOq6lSdfn+SJXd3dXf1e+pUPe/z/J//k2PvqfkPzP+A5DyglmiXVt9Y2ZcWU/Q6ltQwZNnc46LXsGOPBqL4g8/9Abb2b63/LziIWURw4Mb7eLeDG3fiZmjFeZOZ2r1yct6UISNbo8Fo0NJMolW0fHUfOnQIp06dwptvvln3uEcffRSHDx/mHycSCc8EF1Z2hXRavAkAM8NRjPSFsJTM4/25OA5cU1vg105gEQvTmytpFFj4K0shYSznlpFX8gAkkOJAzfrhWM84LsSBxex84xNigUUxA5QKZS6IRA0jalG9uy/sB4k3CCxq1OHTSh7wA7K282xl3X935wh+d+dI4wM1zHSF2JWxAGjp5moqj0SuCBZLRFw8J6SSXYO34KPsi1jIfwxCCA2IWKkrfgEYvoYeWJaxYGJhq4eQaRoLrQyJ828Bn/+2uR9Q5mFRfl5L6TgAQCaNR6YzuHhRu4d8Z/938B18x/T3r6RPAXCndsAM+rwU8xqLS6u0dLWQyGFuJYOtw/UHvrm9c6aljMWDDz6IV155BW+88QampqbqHhsKhdDf31/2zytYWwrpfGDBdBZA4zHq7ZgiDWiBBaSiLmyrRqBSvBnClRR13IxIgwD8NdOh0/2TAIC14mLjEzIa++QT6yZNWlcKCYBopZDV/Gr1nUeNlsS0ol1jKnXEDPjs34WY6gqxwXWTYRxElvHAnJBK9o7tAVF9KCCOuWSFRsGYkSoZBpApTCxsccaCaSz8Wlp87iigmNwx1xg+BgDLGZpN9EtR0+cTDbamMQAAQoirux3MoAdW5v/+S6u674iZUrWbhZtAk4EFIQQPPvggXnrpJbz++uvYtm2bXeflCoZ5V0j77aYserfyhtIKs1r9vdHF246N82CEBhaSpCJdrLN2VTIWzMo7CBoA1YrIrx+m9eysasKXQ/YZvCzWtIwFu9GH23bdZBhLISW1xIc3lVEjY5EhWtulGkLUoXIAuymtZoooKdUDQJaxsENQydpjk7mSHsC4eE5IJduGB6Hk6MP4+MJx+slqtu1FfQCZqtB7itXiTZ6xAKFTdAtJYOFkg+9E+blWDB8DgOUsDSwCUuOR6Yx2DKJS+RIK2rVY6V/jFYylILNzpi7H9cDiaINNHwDXd840FVgcOnQIf//3f49/+Id/QF9fHxYWFrCwsIBstsVpei6HvWi5otr2CFw9Y9FZxfvtmlHWe3OryJdqv/H1HWTzN8BYRL8JxbN11Ol1MhaSUt/W98bRGQCA6osjVzSRUTIGFqVK8aY1r0l/2A8QPwIS/bvqmmQl52lZRiOjjY1X1VBLnTitwCy9ARpcVCNjY8bC6GXBAxgPtJoyJgcjUDLbAQBHrxyjn6yWkTJoekol5vRqsY8Fc94s5YCttBUWF96q810G1lhgsT5jEc/R4DgkN5Gx0N5PrRhEsZ14JOBzvVFaLdhGRSX02dEIVSW4Em82Y+FeO2+gycDi2WefxdraGr70pS9hfHyc/3vhhRfsOr+O0hP0Iagp1BvNU2iEG0ohAHDN5l5s6g0iX1Lx7xerTODUaMesKBoIgRD6fau5Krt2Bs9YrPGPWWChaOZYtSLy6zdNgKg+SJKKj5bMdIYYWk6LFeJNi7JITIwYlOgUyKqBRc9m+ncTtUzglyF0vVU17JiPg98nI6YFF7XKITkbTav6y8SbmuW9B1pNGQORAEJF2jL87uJxujutZpJVzHILee70arWPhVYKyZaywNY76BfOmwws6phjrWmC54jPXEcIUL5jbxY3u0maxXgNmymHLCXzKCoEPlmCX5ZwOZ7FxZX67cK6xsKdWZ2mSyHV/v3hH/6hTafXWSRJskzA6YZ2U0DTWZiYG9JubZ11N6yZyVhASxf69IxFPksDgVoRud/ng0+lWY1TTZpkkVKmTLxpXVcI/Tk+QgOLqm6DkqSnyw272jShNyBFCTvqPNlIwGnnxFHjIDKvDCCrZDy8E4T4sJxbwqXUJb2cEK+esYBqh8bCkLFQclBZxmLu32graSO4eHN9xiJZpIFFT6DxyHQGFy+2UAphrc9e1VcAdMAf6/4zE1wx4eb4QBg3TtL7FOsSqQWfE+LSdfKOUqpDmFHOmyHtgnZTBpsbUu/ibbe2LoFG0vFcHVdWlrHgH4d4q2kqTW9k9XYuUZmafJnzstADi2wxB6XMrMiqUggNpmRVE3DW7Ayp2NUqRaS181FIxNEUcKPAOdvGMLpG6IPIim0ZsnWS6cFBqFkqYD++cFx/OCev6KWuYlZ33VTCCAdkPrLeCowaCwDIbd4JBPtodm7xo/rfrKqGOSHrMxbMar63mcCiDUtrt4sSzRJtwn2T6SumBiP6vbnBTKeu7ArZSPDAoktKIYA+6fTEhVUUa4j22q2tS4SuW7JQJ7AIlLewEV+Im2MV8jEA9VN9zMtiLmHGy0LXWCQ1MyoJEkAClvpYAAZb71o2xpUCzmIWGe1BU1QiHclY1AwsbMwk6IPISm0ZsnWSqcEIShkqYj++eBzoHVlf6iqVDyCzehAh7QrRf2ZWLQDTs/SD8/XtAJBeApQCIPkArdPKSKaUAgD0h8yXQlp1ngS6oxQClA9iawTrCJmMRflMp0YZC7cHYCKwaIDVpZBOTTc1cu1ILwajAWSLCk5eqq6zaLe27pNoQJDM1ymFVGQs1mStRgyAFGOIBusLuEaj4wCApWa8LPIJJLXWzgAJA5As1FjQn6Noo9NrDl6qNMkq5ZBh4j416mg5YLhX63yqETjbm7EwiDc9Mtm0kimDgPPE4gmt1KW14LNMgHE2jcV23gDLKsp0lDtoOQQzn6dfbCTgZMFt/wTgW39eOZVuDAZC5m0Cepp4qFbidlGiWdh72IyAlQUWU4MR7JsZhCwBcysZzK/VbopYFhkLbzNkotffDCx6d0MNWZYl7Gdtp1VamwghupiuxfP1gWUszGgsKJcJXeOB4BBAAg2j8a3aDXy1YMLLwlAKSWpTV/3EmsmmDJbaL+brdIUAhjq8nrFgpRCihhydldEocG6nO6gRXLzp4cBiMhaBkt0KEBmXU5fpnJvKjFSpwpDN4rVk1wtvOS1mga2GwKKel0wd4SYAFLTAYoi9f0zQikEUY9njdt4Mdk/JmFgDprGYHIygLxzADROazqJGd0hRUbGWpV1cImPhUZiIqB1bb0IIj97dkLEAYBBwrr94C4oKVdNTtlrz9msZi3ShTityRcZiXqW21rEALXE0isZ3DNGdf1a92viEygIL+qaUiDWTTRkstZ9rGFgw8ab+4MnIemDhZPDZqBSiZ66sv1Vw8Wa21JYhWyeZGowCaghSUdNZLB5fn5EyaCygRCxrb2aE2WtDDBmLiZupvXh2Ffjs17W/uY45FgCUCH3oDUebCCws0Fi4dSdulmY6Yy4bMhaAbglQy8RwNUPXSJKAWNSd6yQCiwZY4b6ZK+oPajdoLABdwHn8/Mo6cyTjqOxWb/QBmQYN6XrjmyszFgo9tse3GUDjaPzGUVrbVnyrKJQavIFZYJGNIwnt72MuiBYOIQOAbI7+3JqlEO51cJm6IxazyEisayDosq4QlrmyL2ORzBXbMmTrJOxhkE/OANACC6czFv6KjEUpC/gCwJb99IB6bad1hJsAoEj0Pbm5J2b6fFjGIl9Saxqv1cLt2gGzmC2FEEJ08WaMeoXU2/QB+hoNRoOWioCtRAQWDbBiEJmx1uiWHdnOsX70h/1IFxR8dKV8EiIT0gV8kqkRvtUIyFrGolgnY1ERWFwpUqFYSHPdbJQO3bV5CoTIkCQFp69eqn9CrEacWuQ3eUW1NrBgPhZMvFkzsOgdA+QAQBTNKKs8Y+HkvIxGtt52GlfxIWS58iFkXiIWDSAa9KGk6SyOLxzXS13aQ5sUMrp4U7FevCnLEp0Oqxq8LABgRvOzuFBHwMlLIdUzFkSiP2ukp5mMhf73NVsOcXsbpVl099H6gcVnqTzyJRWyBIwN0M3YbduGIEnA2atpLCVy676HteS6OfgSgUUD9Bp06+2mvCMk6HPNJDpfHZ2FFTf5kJax4De5alSUQq5oFtiy5rrZqJc96PfDpwwCAD5avFD/hFjGwhBYFEsssLDmYRb0ywgH5LIJp1UtfWVZF/jF56jGgu9oQ+7qCinY163BSiGKSnjGxEtDyADqC0MFnDOQIGMuOYfFiNZBEafXZK6UQYlraKxrbzYSCsjlGQvAoLP4N6CWtXQ9c6xcBpJM711jfUOmzyXol2mgg+YFnN1SCtFHx9cPrFgZZKw/zM0YByIBfG6MboSqdYd4oXNGBBYNYKr5lTbaTVk6zKqZFFZRK+VmhZAu6KNBQ65eYFGZsSjEAQBqgQYLZt44YZn+Db9ZnmtwIAsslnhgUShq4k0LH2bGQWQFtYBMqUYpyGD9TIpZZNhsEIc1Fix4W80UoarrHz52tptGAj74tUB7MZHnn/Mak7EIoIYxGtbaTgtaoJ64AiglJDUvCIlIgBq0pawUDvh0jUVJ2+VO3kqD9/RnwNXfrP8mQuqaYy0k49phEsZ6zWcsAN1ZtBmdRbag8OvNzQ9NMzAdTaOMBW81HSy/F87W0Vl4IfgSgUUD2AWeLihcyNYsLAPgFuEm43Zt0umxcytQDA8V/WHS+vlGfPSNwm9y1agUb2q+D7kcvYmZubkwoWdDLwsWWBCFt/7ZMbehPxIASJCXgmrrLHSTrGw+AWLsCnEwsBjUxF+KSrjS3IidxlWSJHHB66KW8vWaxgLQBJwAhuRdAIDja5/SUpdaApLzSGnBZRgBAJIt94FwtYyFPwRM3Ub/X83PIn0VKGUBGFpkDSyl4gAASQ3B72vudWnFfZNlrYI+2XX3ymZh5aBGGgvdHKt8Fks9nYXIWHQB/WE/H2HdqoAz5ZIBZJXsmuhHX8iPZL6EX8/rOgv+MGlj9xjWgoa8WiewMGQsErLEjavSmuummYh8JEK9LBYyVxqckL7jShrq3YC1cxuYgLPHT39f45bTC8gU6NpLBAAJOGoSFfTL3H+jmo7IzrHpgL5e+RIV+TnZamsVbLfpL1wDADi+eKKs1JXQHvRBrQXbDgF32O/jGouyYJ75WVQLLFhXUt8YDUIqWMrEAejdU83QSmeIUbjpxHRfO4ma7Arhraax8jVmZepPllJYTpWX4b3g9SECiwZIksR3da0GFrqHhbuicJ8sYd8MLTscNVjIWvEwifg1tbxiLmMx76drMxQeQjxNbypmIvJpzS1wNb9U/0CDwY9RoR/wSQj5rXuYMUFiRKa/r2ZgYWhJTGuDnkJEAiA57uVQz8uinWF0ZmDrxfBmxoJe69nkNCRIOJ84j6sxGvBi7SKS2nsgQNjIdOv/xnDAB0IqMhaAPpDswlvrdRYNPCyupuMAAB/MTzZlmN2xG/HCTtwseinEnMZiqqIUMtQTxPWjdIN1rEJn4YXOGRFYmKDdzpCMi1w3K5ndvt5CNlukN4N2HiZRLRtRUOuIXg0Zi8taYDHeM85TomYm9107RG+KGfWz+gf6g0CA3iCNk02tDvZYaj8o0cCiYctpfI7PYwgRel5OBxZDNQTKhBA9sLArYxEpX3+vGWQB+m5zflXGdYPXAQCOR7XZGvE5JBW6rj5VCyxs0VgYukIUQ2AxtQ/wBYHUIrD82/JvYvqKGoHFcpa68gabGJnOMNsVYaQbBpAxeoLmAqtaGgtA97M4WjE3RO+cca+JmAgsTMAu9FY7Q1IumhNSyayWcnv3/AoX72ULNC3dzk2+N0hvRqV6pZCyjAX9XaPRceSK9PebaTm7YXSG/h55BWo9h0GAl0P4pEkbWv9Yat8PbXR6zXkhzCTrEtIF2g0TULXAwuFyAGvrrQyc8yWVb3LtOqf+ioyFF8WbrD6+mMjhlpG9AIDjsrZTjc8hpdJ1lVXm9GpTxsLovMkIRIDJffT/lW2nDcyx4jl6XQblnqbPR/dxMK+x8MJO3Cxm5qWUeVgMrg/eqm36ACHe7Br4jbfFzpCMiyabVnLj5ACiQR/imSLOLNIbCTvfdm7yPVo2okSay1jEAiMAaO3fzHrdMLoFhEiQ5BJ+s2xOZ6GXQqxv/WMZCx9pMOG0b4IOflKLyCSp8DSg0nNxuhzASyEV13fGAqO0RqwLLFz4HmnEpt4gQn4ZKgG29+4GAJwoaQ+D+BwSmtMr0/TYscEI+X0A0Uenl8H8LCqNshqYY61pJbqIz/wAMkYrg8i6qRSi//21A6vVjD7Vd3wgvO7rTGdxeiGJVUPQ74UATAQWJmh3EBmL2t2YsQj4ZOzdSnUWbFRvzoIWw94Q3eWUUCew8AUBUD3FFS2w6PXTwGLYpIArGghBVmjAcHLhfP2DNZ2FUbxpeSnErEmWz8+nSWa0G7xfCywcz1jUsK1nZZCgT4a/RaO0RjDhKMOLGgtJkngqe9i3EwDwae4qVmSZaixAH66KjYEF7QqpMMhiGAeSGXUWDcyxkpqoOOpvPrDgpZCmxJvuFyWahW2K6vl4MOHmSF/1+UCbekPYMULX/th5eh9RVIKVjMhYdAXt2nobDbLcyO0VKTcrukL6gvRGq5I6ayZJPGvBAoswNgFoLhoPS9QC/BMTXhZ5CSjIulmR1aUQPuG0qJtk1UTbKaZTdDqrpNLvdYt4M8syVzaeD8vwMMIWCmmdhOks4ukgdsR2AABOhENA/CKShL6fuCGbXT4WWilkXYv31H7a/pq4DKyep58zeliwDqUKUpoTbm+g+cDCrEGUEa4d8PgAMsDcELLLdfQVDFaqZm2n8UyBx4aDIrDwNu2KN1nU6saMBaBfvMfOrZQJ9trZPQ5oGQtVaqBL0XQWV7QHiqzSc2kmsBjQyifn1xp7WbBshUQAqEHbSiHFYoNBZADfKWY0cZ+saIGF4xqLWoGFavv59BsyFuGA7Bpn2mZhNfJLq1nsHdV0FpEIoBaRBF3HXNFOjYVcvSsEAIJRapYF6GPUs6uApu2p5mEBAJkSDSz6g+ZHpjPMGkQZ6cZSSEFRUShV137p49Jri2N1nQXNJrP3KLVBcO/j271n5iLaLYWkXSzeBIDdUzGEAzKW0wV8upTSnTfbyViE6JuFoMGaBSJISxLWNAMeUowBaC7NNxIdA2DOy4IFFlH4AMiW7x7Zg7KQp39/TfEmoGcstIeprO04nW5LrhU46wPInMlYeFG4yWDtgpdXs9g3RsWSx6N0p8+uuVyRXhO2GGT5fbwUUtWUbmuFzoKVQXpG1jngMnIK7VaKhZoPLKImuyKMcFFiV3SF6NdyLZ0JE25WelgYuV3b9H08n8Batsjfo8Mu7ggBRGBhivZLIUxj4c4bZ9Cv6yyOnluxpMUwps1LIFKDNfOHeRmkP9iPZFbzs2giHTrVS7UKK/nF+geG+/lNPkLo32Z1sMcelJkc3Z3W1FgAXI2vTzal3xvyO/u21AeRlWeX+AAyWzMWemDhNp+XZmCBxaXVDPaN0sDiEx+wJsv6bBqFvidss/TWAtOqNvJcwKl1hnDhZnV9BQAUVC2wCPc1fT7NjA1neEGUaBa/T+bv41o6C6axqPSwMDLSH8a2TT0ghE6i9soaicDCBCyCrnRAMwsvhbj4xsksZI+eXdaHkLUTWGgZC0lWkC+tt4rmBCK81XSyd7KlXvYdzMtCaeBlYchYhAl9Lax03QT0jEUqrQ9hq2lrrmUs2GRTNjLd6XLAUK8eOBuHptntugmUizfDAe/ejnjGIp7FpsgmbBvYBiJRnQUPLNReBH0yHzZlJbQUUidjsWWWdiGtzdFsRQNzLAAoEvrgG442NycEMHRFmLT0zpcUnt1wsyixGXobdIZcqmGOVcntfG7IimfKRd59JzsI2z0nciUUlQZeCVVweykEKBcJWfFAGYzqgq94Ll37QH+4zByrlYh81wi9ORbl5fpeFsbAAvQm3GtTV0gq64Nfpj+7tq03K4UYJpt2QODLbuRFhSBp2GHabY4FlJdCvJyxmIzRQHp+LYeSovKsxXFDYEGUiOWBLMOYsag6UTjUB0zcTP9//q26w8cYikQDi03RWNPn0+wQMva+98nSuhZkr8LWoFY5qJbrZiX63JBlfeMlAgvvE4sEwDaRqy2UQ9Iubjdl7NkSQ9Av42oqz+eGtKWxCIZBCF201Wyq9oGBCLfznuidwNUWAovdYzMAAEku4ny8TtYiPMAHkAVVe+Y2sAelSiTEQrS8tJKvUQ7pnwQg8cmmqhruiM4gHPDxINLoZZGxQGvTiG7RWIz0hRDwSVBUgsVk3hBYhJHiXUhh27KWoYBBY1HLRp/be79pKmOhSvTnjPbGmj4f3XnTXMaCdYQMRoOeFfBWwl7ragLWtWyRB/EsKK0Fm3R66koCcys02BMZiy5AlvV5Ia10hrBSSK9LNRYAfbjcsiUGQP8bI23cBGVZ5oY9a9kao8MBLWNB12Wid6KlXva+UAQS97I4V/tAQ8bCr6WNrda9hPwygppauz8QA1AnY+EPAv0TPGOhquGOGURVE3DmnMhYGEohXjTHYsiyhAlNhHdpJcMFnKeDAeQMGQu7bP3Dfv39li1ly0paHD6Q7C19AFmNVtNcsQBJpu/Fsd7Bps/HrKU1wwtuks1SzySM6SuGe4INr/vxgQimh6JQVILXT1MdmQgsuoR2BJxuHUJWCWttYrS7g5S0h3c8X6cUEgjjSkDPWKykWqshhkDP/fTVC3UO0gMLWbEnYyFJEtcN9AQaTDgFgIEtPGNRUiMdM4iq1vmUcUBj0RP0g/mgeTljAZTrLEaiI5juGQcxmrypIVtLIczSWyUqimoVXdP07YAkA6vngM/O0M/VEG8uJOP8/yN9rWgsWiuFuP2B2Qz13DfNlkEYrFS9mqGvq9s7Z0RgYZJWvSwKJRVFhe4e3FwKAfTWJka7DxSZMG1KPY1FhHeFbAqPcbGXmQFkRvo1L4sL9bwsjD4WbCCUDa8JS+9H5RiABp0hsWku3lTUSMfGhlcbROZEV4gsS+jTXgMvum4aYW2DTJS3b2w//1qPCgCyfRmLgD42HaihswgPAGM30f8r2n2shsZiIUWDYaIGEQ0039rYYyiFsBlE9VjuolZTBstQV+sKqTd8rBqVm75m749OIwILk/BBZE12hhgjdrc6bzJumR5EwKfvsNp9oMiga5bM1y6FZP0BrGgeFsx10y9L66ZeNmJzmHpZXEnVDywSrOxQ0syKbMgisfR+qNHodACIbeGlkGIHMxbVBpE50RUC6IFY2OXvj0boJln0et83Psu/1qvpjexaS9pR4wO0NuqqgQUAbP28/v/IEBCq7qq5mIoDAGRi7sFXifF9lSk21ll0k503o56XhxlzLCOzFZs+t2d2RGBhklZLISxaDfntm7dgFZGgD3umYvzjdm+CPknLWBRqBxbzWhzTCxmFAj1+0OScECNTfZqXRWGp9kHhAaS0h7hSYhkL62/07EEZgDaIrIFJVlrzsSgo0Y6VA/TAeX1gYfc5sS6AqMdLISxjwYyPmIATAKKEvsZ2ZS3ZJkCq5b7JYH4WQF3h5nKGjkz3keZHptPzkbng3Uw5RC+FuHsn3gy9dWy9L8fpPbGeOZaRLUPRsmPdntlx95PORdQaLd0IVl+zKwVqNbcbUm7tPlB8Er3403UCiyuSNt1PCmGF1Q9biMa3D1Jb4lSpTmARCCOpZUcKRS2wsCVjQR+UMqHGQvVKIaR/ClntDlxQezsu3izTWHDxpr3XLtOkeFm8CRhNsuhDfbx3HJNacM0M2ewTb2prxyac1vJOmT4ANvivnjnWcpYGFn6ptcBCkqSmJpzyOSEuf2A2Q0+ddlOzHhZGjFkLt2csvPG0cwGt2nqzi8ou0ZbVzG4fwt++Qf/f7o0+INFyw0sXn8ZrP/1B1WNyuTgAYNIX5unQVt40uzbPAKeBom8ed/70zprHrQa1lryCNhDKhhs9N33SJpy+efnNmudE1BJKWnYmr/Z0sBRC1/xqlVKI7RkLLcPj9cCC1cuvxLNQVQJZlrAvMo7LmfOIMEM2m4I0Zi5G1ADgA7716rcQkKv7QZCt05DUIrKpj5D64R1VjwEKgA8Iya0FFgAN2pO5Ut3R4Yxu7Aphr3W1wIrbeTcRWNy+fRj/7/3L6A35EXL5sD4RWJikVfFmxgOum0b2bh3E5r6QdvG2l9DaFNyGteJJ5NU0PsvWEXACuHngWsN0w+ZvLrdOXANS6ofkT+CzbB0vC0lCSCVYzF8LwJ4dJHtQhtQt8Mt+lNRS/XMCMFEi+I3a17lSSFXxpv2zQgBg9+QAXv14EZ8ba34mhZsY6w/DJ0soKgRLyTzGBsL4D9MH8fLpH2AYowDsazlnpRA1NwE5cBXxfLz2wTIA2Q+gBCBR9+du7buu5XPqqSNeNKKqBJ9+Rr1uzJYGvEAtL49UvoS4lp1t5u/94vWbEQn4cNNk8106TuONp50LaDVjwaJVr5RCokE/3vjvX4IENK1zqOQ/X/stPPLz7fjcRBT/9/dvrnlcKJ/GzOgt+N4vfgMA2NTCgJ3+cAQ7Cv8TJ+fO4uGD1+LLN4xVP1ApwZ/z4eCZs5Ale2ykmXhTLQzhX//jvzYMKlDI4CdvpnEGCdvLDrXgpZAqGgu7O1UevHMH/tP+aWzu83Z93e+TMT4QxqXVLC7HMxgbCOOLsw/h9e1fxuP/kgawaJvGIqRdx+lL9+Jf/sdjIKjeiVEoKfj9595GSEnh8Fdvw6Y6ax4NhPDFmRtaPiez80LOLCYRzxQRDfqwa8LbwaURFpBXlkJYq+lAJIC+JlxGR/vD+LdH7vRE9tsbTzsXYJyn0AwpLQ0Y9UhgAVgXBB24ZhPUwijOzEmY7t3RMA3cbi/772ybxAcXcrgwP4idX9hZ87izn6UAnNU8FKx3+WMZi2S+iOHIMIYjww2+A0ip/w4g0bGMBQvmlrV5IZIkOeJjAdAA1utBBWMyFsGl1Swdn655T23e/Dlki8cA2Je51IM/H7b27agZDL57fgW5zDh6e4P4r3t/x5brn2F2wuk7Z+lI8L1bB109CrxZ9IxF+d9vZvhYLQY9UirqnlfRZtjDbjVTgGKiL5uR8YDrpl1MDUYwMRBGSSV470K84fHtDthhvd7vnFuuexx7YNq1e2Qai0TW/GRH5nLZaY1FvqTy9XHCebPb0FtOy7sy7Lb1Dxtq7vli7Xk57CG+f9uQrUEFUO5lUY93zlFx8+3bGwfgXoL9/akKjQnTV7QSWHgFEViYhFl6EwLEM+azFimPuG7agSRJph/2QPsCrr1bB+GTJW3HWLsTxW5BLesKSeTqTHWtgAWgncpYRIM+rqlhr4MTs0K6jcmKzhCG3ddcwCfx9s5cqfaDnD3E2WArOzHjvkkIwTF+TkM1j/Mitf5+bo7VYEaIlxGBhUkCPhmxKH1gNFMOyXis3dRqjFNTG9FuKaQ35MeNmrCp3u/Ts0j2vCasFJLImg8snJgkWg9JknhAxzJHvCtEZCxMY7T1NmL3NSdJEi9/5GoYUhUVFcfPU08VNtjKTvQde+3A4tOlFJbTBYQDMnYbPHS6gZ4apZBm7by9iAgsmqCVzpAUH5m+MW/OLGPxwcV4zRseY1lzNW3H/IXZktfLkHDdi00PTJaxSObMl0Kcau2sh64joq9DtsPlGS8yxW29yzNm7JqzsztMDyyql0JOXlpDtqggFg3gupE+286DYWbC6VGtNHPr9CCCbXahuY1ag9jYtdFMq6nX6K5X0mb4ji5lPrDwygAyu5gZjmKkL4SCouK9udoOlEVFRUJ7ELfjvsd2YizlWw27O3WYHXkiV6w+ZbIKbniIcxO4VAGFkoqSpiWKBjbmtdsKTGNxebV8wmjagQ1GWHsw1wrgWbC9f2bIkdHktboijBx1sDTjNCxjkSuqZbq8VsyxvIYILJqg2qCmRrBofaOWQiRJ4qKseuWJVS0LJEtALGK+BauSfTNDkCXgwnIGC2vV3Qf1m7xd4k16/kWF1Nw9VsKuk07OyzC2VGcND6dwUNwmzDI2EIYkURHsVW0DoqiEr6edgwgblULY+88pkaRuaV09sCCEGM6pu/QVQHkQybw8sgWFZ7ynhMZCALRm652y+SHmBfQsQu3yBFvTwWiwrd1UfziAGyYG6v6+NC+F2POa9AR9XEhnVsDZ6a4QoNzWm5VmfLKEYBe1ANpN0C9jrJ86zrKUt7HGbucGI8QCi9L6YLakqDh+XssOOPQQ19tNqwc6Z6+mcTWVR9AvY8+WmCPn5CRBnwy/diNgmxk2I6Qv5G960KKXEHeMJmjFJIvvjjdwnZqlOd+fiyNfQ7HernCz/PfRG+fRGhmStM0twJIkNS3gdEMHhlFDxMWkAZ/tbYndRuUwMvbayhLadrOtBzN7q5ax+OhKAumCgv6wHzsdcjht1BXCshW3bInZbsLWCcrnpdDXxDguvZvfVyKwaIJWxJtpmz0TvMA1m3uwqTeEfEnFv19cq3pMux4WRhq1uNpdCgGMLaeNBZyEkI53hQDlgTNvf93AAXGrVA4jM2Yt7XyYROqUQri+YtsQfA7oK4DaBlGV5zTbZf4VRirdRzeCvgIQgUVTVBst3QgnRFtuR5IkQ9tp9Yf9igUdIYz9M0OQJODsZ2ksJdfrLPQskn2BBTfJMlEKyZdUMJ2fWzIWuWLnMyhehan9WVuhE9cboGssqhlkseyAkyLJes6bZfqKLvOvMMJKm3ophHlYiMBCoFFttHQj+BCyDZyxABp3a1hZChmIBni691iV3+dEFolnLEyUQozteJ18kA8b2k2dsvPuRnT3TVpP11037V1LXgqpKDcqKsExh/UVQP1207mVDBYSOQR8Em6ZHnTsnJyGl0IK5aUQdo10KyKwaIK2fCw2aLspg+2UTlxYRaGKuEwvhVgzM0LXWazPkDiRRdJbThuXQlgZJOiT4e+gUJKt/Uqq4NgAsm6k0iTLqUGEzNY7W/Eg//V8AslcCb0hP3aNOzfki72/qmUsWLZiz1Ssq8ttlaWQy23MCfESIrBogmHtxruaKUA1MS+kpKi83XCjZyyuHenFYDSAbFHBh5fj677erp13Jax9rVqLqxOpad0kq3HGIusSPQMLnNMFhY91FhmL5pmM6RoLQggXC9vtZROqYZDFsoT7ZgYdDVx7DA/VSj8XFvA7mUHpBLwUUijXWHSzORYgAoumGOyhDwtFJaZq5xmDiGojaywAQJYl7K/TrWGleBMA9msZkk+WUtzRk+FEKaSPl0JMZCwK9EHQaT1Df9iPgI8K+y5pu+1On5MXmdACi4wWoNk9gIxRqxTCdE1Om1Cxv1clVEdUdk5dbIxlxJixyJcULCXpvUiUQgSckN+HPu1CMVMOYTtjv/ACAKAb81TTWVidsRjqCeL6UWpbXKmzcLYUYkZjwXa0nX2IS5LEh+0x4WGnsyheJBzw8THwl1azjgm4qxlkqQZ9hdMmVFFDUGosh1xcyeByPAu/LGHv1u7VVwD60LlUXsGVOBWSRwI+DEZbNwH0AuJp1yT6PAUzgYW+U+nmnmWzcJ3F+RWUlPIdDBdvWtAVwn9fDcGoE6ZlzYg3mcbCDXoGljFiwkORsWgNveU0w9Pgtmcs/OtLIWcWk4hniogGfXxAn1PIsrSuKwLQ3483TQ10fYm4x+A+esmgr+j254EILJpkqIl5IU6JtrzCzrE+DEQCSBcUnLqS4J9XVILVjLWlEEAPZIwCTkKIIzbrzCDLzCCyrIs6MFhnCBMeuuGcvIjRJMsx8aZWCskbMhasDLJ36yACHciaVhpEGc+p28sgANAbZF0hJZ4F7HZ9BSACi6Zpxn1TH0Ambs4A3cHcNrPezyKeKXAfB5aKtwKm6aC7Nvp65Uv6QCA7X5f+Jnws3GCOxWCdIfPanJVOzi7xMnrLadb2aboMXgoxaCxYdsCp+SCV9FSIF43n1O3CTQCI8tHxyoYxxwJEYNE0zQwiE66b67m9SnmC6VUGIgFLd1Wb+0K4ZnMPCNF1FsaUrJ0q/b4WfCzcUHZggbMiJpu2xaTBfTNTcDZjwUohhBB+3c92yISqp6Ldcn4ti7mVDGQJ2Nfl+gpAHxuQyZcM5ljdLdwERGDRNM0MIhOlkPWw9Oe751b4w4uVlawSbpb9vgrBKEvJRgI+W62Nm/GxyLkqY1H+GkTEZNOWKNNYODSIsFK8+elSCsvpAsIBGbunYrb+7lpUlkJY+/eNkwM8+O5menjGolxj0e2Iu0aTNFMKSYlSyDp2TfSjL+RHMl/Cx5rOwkrXzUq4lbg2l8CpabOtOG+64TpZH1iIoLgVpso0Fs68viF/eWBxVAumb50eRNDG4Wf16KkQb/L5IF1s422EeeVkCorQWAhq04ytt1MpUC/hkyXsm6EpUHaTYWUlOwILVlv++EoCa9mi4TWx9ybPxJv5klpzoivDTV0hlVkjN5RnvAh7eCRzJSwkqF7F6VKIG0SSuqW1Flh0YGZJJ2F/fzxb4NeByFgI1sHaIc10hXDR1gY3x6qElSeYURYrK1kxgKyS0f4wZoajUAlw/PyKIYtk703e+BBp1Bnipq6QyuDODefkRaJBP1/L88tp/jk7MYo3CSGuEEmyHXs6X8JSIoezV9OQJOC2DZKxYO+fS6tZqAQI+mVssmhsgZsRgUWTNFMKyTiUdvcaLIvw7vkVqCqxtRRi/H3vnFvhaWm7d48+WeJmao3KIVk3iTd7RcbCKtjOlHU82Z+x0KebnruaxmfJPIJ+GTdvidn6e+vRY+iKYKWZXeP9GIh0v74C0F9zdg1MxSKQHRpb30lEYNEkxlJIpf99JSz91yvq1GXcONGPnqAPa9kiTi8kLR9AVgk3yjq7bDArsv+BycohjQScGS7e7Px1UvkauEFQ6lUqU96OTTctKjxbccuWWEdLbLwrolByRWnGaSo3lRtBXwGIwKJp2CCygqJWndpnRC+FdP6B4Sb8Phl7Z3RR5YqNXSGAfiM7dSWBJa3O6cRr0qd5WTQaROamjEUsEoBxQ+WGc/IqzCSL4ZzzpqI/xDvkX8GIGroi3FCacZrKYHIj6CsAEVg0TSTo4zfbRuWQTN4ZoaAX4d0aZ1dsL4VMxCLYMhSBohL86jdXATiTReIZiwaDyLJF93QPybJUZlLmhnPyKpWDphxrNy2pujFWh7UM7G++uJLBp0spAMD+mY0TWEQCPhjdu7t9+BhDBBYtwG29GwQWTrU2ehFmlHXs/AqWbewKYfA5JXOrAJwR1Jp132QZCzd0hQDlr4NbzsmLVGYsojavJSuFKCrB/FoOAZ+EW6Y7a0LFNlXvzcUBUFv/QRvf525DkiQuYAXWXxPdiggsWoAJ3FYadIbwer4Laudu46bJGMIBGSvpAq5q67ip1z61NMuQMFMuJ1qAzXpZuMnHAigXcLrlnLzI1JD+EIkGfbaL9iqDwD1TsY5rZFgnDHvfbRT/CiPGcogohQhqYrYzJJMXlt61CPrldSOTB3vsU4pXzkpw4jXRxZv1Aws3OW8Cuo4IcM85eRHj7tSJ6y1UYYLlBi1DZQDfac1HJzC+9kK8WYdnnnkGMzMzCIfDmJ2dxbFjx6w+L1dj1tZbOG/Wx6gO7wv5uXOgHUwNRjAxEOYf9zjwmvRz8WaDrhAXiTeBilKIja9Jt9MXDvC2SieuN0mSyoILN3RfVN779m/EjIWWtQn4JIz0hRsc3R00HVi88MILOHz4MB5//HG899572LNnD+6++24sLS3ZcX6uhJdCGgwic2I8t5cxpkWHbDDHMiJJUtluyYkdpNlBZG6abgrogUU4IG+Inns7YVkLp7KWrBzik6V1GcFOYLz37RjptbXc6VZYKWR8IGLrfCI30XRg8f3vfx9//Md/jAceeAC7du3Cc889h2g0ih/+8Id2nJ8rMSPeJIQYPBNEYFGNPVtifIdlp3CTcbshNexMKcTcIDI3OW8CeuBst1PkRoDV1J0LLOj7affUgCvuO8ZzuN0FpZlOwIKrjaKvAICmrrxCoYATJ07g0Ucf5Z+TZRkHDx7E22+/XfV78vk88nl9Z59IJFo8VffAHoLHz6/iiZ9/VPUYRSXcbc0JMyYvEg74cMt0DEfPrtjmYWHEmBp2QlDLxJsfX0nUvE4IAUouG1HOrm+3lGa8DKupO1EKAfSMhRvKIED5+8wt5+Q0LEDfKB0hQJOBxdWrV6EoCkZHR8s+Pzo6itOnT1f9nieffBJPPPFE62foQtjkwrmVDH701vm6x/aG/OIGXYc7rtmEo2dXMOHAm27rcBSTsQgux7PY1Gd/IDOqaToWErmG10k4ILumFMJugHbMbtloXLO5FwCwuc+ZEsBQTxAXljO4Y4c7HuI9Ier7U1BUV4hJOwF77a8Z6e3wmTiH7VukRx99FIcPH+YfJxIJbNmyxe5fayu3bx/G/7rnRiysZRsee8c1myBJG6Ou1goPfH4besN+fOWmcdt/lyRJePYPbsWZhSSuH+2z/ffdsiWG//P1m3A5nml47P5twx0bbV3JzVti+O43d+OGyf5On4rn+eatU1AJwcHPjTY+2AL+9z034eSlOD6/Y5Mjv68Rfp+M5/7LXpQUdcMIFyv5b1/cjumhKL5x62SnT8UxJNJo4IWBQqGAaDSKF198Effccw///P333494PI6XX3654c9IJBIYGBjA2toa+vvFjUsgEAgEAi9g9vnd1BYpGAxi7969eO211/jnVFXFa6+9hgMHDrR+tgKBQCAQCLqCpkshhw8fxv333499+/Zh//79+Ku/+iuk02k88MADdpyfQCAQCAQCD9F0YHHvvffis88+w2OPPYaFhQXcfPPN+Od//ud1gk6BQCAQCAQbj6Y0FlYgNBYCgUAgEHgPWzQWAoFAIBAIBPUQgYVAIBAIBALLEIGFQCAQCAQCyxCBhUAgEAgEAssQgYVAIBAIBALLEIGFQCAQCAQCyxCBhUAgEAgEAssQgYVAIBAIBALLEIGFQCAQCAQCy7B9bHolzOgzkUg4/asFAoFAIBC0CHtuNzLsdjywSCaTAIAtW7Y4/asFAoFAIBC0STKZxMDAQM2vOz4rRFVVXLlyBX19fZAkybKfm0gksGXLFly8eFHMIHEAsd7OItbbWcR6O4tYb2dpdb0JIUgmk5iYmIAs11ZSOJ6xkGUZU1NTtv38/v5+cWE6iFhvZxHr7SxivZ1FrLeztLLe9TIVDCHeFAgEAoFAYBkisBAIBAKBQGAZXRNYhEIhPP744wiFQp0+lQ2BWG9nEevtLGK9nUWst7PYvd6OizcFAoFAIBB0L12TsRAIBAKBQNB5RGAhEAgEAoHAMkRgIRAIBAKBwDJEYCEQCAQCgcAyuiaweOaZZzAzM4NwOIzZ2VkcO3as06fUFfzqV7/CV7/6VUxMTECSJPzjP/5j2dcJIXjssccwPj6OSCSCgwcP4pNPPunMyXqcJ598Erfddhv6+vowMjKCe+65B2fOnCk7JpfL4dChQxgeHkZvby+++c1vYnFxsUNn7H2effZZ7N69mxsFHThwAP/0T//Evy7W2z6eeuopSJKEhx9+mH9OrLe1/OVf/iUkSSr7t3PnTv51u9a7KwKLF154AYcPH8bjjz+O9957D3v27MHdd9+NpaWlTp+a50mn09izZw+eeeaZql//7ne/i6effhrPPfcc3nnnHfT09ODuu+9GLpdz+Ey9z5EjR3Do0CEcPXoUr776KorFIr785S8jnU7zY7797W/j5z//OX72s5/hyJEjuHLlCr7xjW908Ky9zdTUFJ566imcOHECx48fx5133omvfe1r+OijjwCI9baLd999F3/3d3+H3bt3l31erLf13HDDDZifn+f/3nzzTf4129abdAH79+8nhw4d4h8rikImJibIk08+2cGz6j4AkJdeeol/rKoqGRsbI9/73vf45+LxOAmFQuQnP/lJB86wu1haWiIAyJEjRwghdG0DgQD52c9+xo/59a9/TQCQt99+u1On2XUMDg6SH/zgB2K9bSKZTJJrr72WvPrqq+SLX/wieeihhwgh4vq2g8cff5zs2bOn6tfsXG/PZywKhQJOnDiBgwcP8s/JsoyDBw/i7bff7uCZdT/nzp3DwsJC2doPDAxgdnZWrL0FrK2tAQCGhoYAACdOnECxWCxb7507d2J6elqstwUoioLnn38e6XQaBw4cEOttE4cOHcJXvvKVsnUFxPVtF5988gkmJiawfft23HfffZibmwNg73o7PoTMaq5evQpFUTA6Olr2+dHRUZw+fbpDZ7UxWFhYAICqa8++JmgNVVXx8MMP44477sCNN94IgK53MBhELBYrO1asd3t8+OGHOHDgAHK5HHp7e/HSSy9h165d+OCDD8R6W8zzzz+P9957D+++++66r4nr23pmZ2fx4x//GNdffz3m5+fxxBNP4Atf+AJOnTpl63p7PrAQCLqRQ4cO4dSpU2X1UIE9XH/99fjggw+wtraGF198Effffz+OHDnS6dPqOi5evIiHHnoIr776KsLhcKdPZ0Pwe7/3e/z/u3fvxuzsLLZu3Yqf/vSniEQitv1ez5dCNm3aBJ/Pt07Juri4iLGxsQ6d1caAra9Ye2t58MEH8corr+CNN97A1NQU//zY2BgKhQLi8XjZ8WK92yMYDGLHjh3Yu3cvnnzySezZswd//dd/LdbbYk6cOIGlpSXceuut8Pv98Pv9OHLkCJ5++mn4/X6Mjo6K9baZWCyG6667Dp9++qmt17fnA4tgMIi9e/fitdde459TVRWvvfYaDhw40MEz6362bduGsbGxsrVPJBJ45513xNq3ACEEDz74IF566SW8/vrr2LZtW9nX9+7di0AgULbeZ86cwdzcnFhvC1FVFfl8Xqy3xdx111348MMP8cEHH/B/+/btw3333cf/L9bbXlKpFH77299ifHzc3uu7LemnS3j++edJKBQiP/7xj8nHH39MvvWtb5FYLEYWFhY6fWqeJ5lMkvfff5+8//77BAD5/ve/T95//31y4cIFQgghTz31FInFYuTll18mJ0+eJF/72tfItm3bSDab7fCZe48//dM/JQMDA+SXv/wlmZ+f5/8ymQw/5k/+5E/I9PQ0ef3118nx48fJgQMHyIEDBzp41t7mkUceIUeOHCHnzp0jJ0+eJI888giRJIn84he/IISI9bYbY1cIIWK9rebP//zPyS9/+Uty7tw58tZbb5GDBw+STZs2kaWlJUKIfevdFYEFIYT8zd/8DZmenibBYJDs37+fHD16tNOn1BW88cYbBMC6f/fffz8hhLac/sVf/AUZHR0loVCI3HXXXeTMmTOdPWmPUm2dAZAf/ehH/JhsNkv+7M/+jAwODpJoNEq+/vWvk/n5+c6dtMf5oz/6I7J161YSDAbJ5s2byV133cWDCkLEettNZWAh1tta7r33XjI+Pk6CwSCZnJwk9957L/n000/51+1abzE2XSAQCAQCgWV4XmMhEAgEAoHAPYjAQiAQCAQCgWWIwEIgEAgEAoFliMBCIBAIBAKBZYjAQiAQCAQCgWWIwEIgEAgEAoFliMBCIBAIBAKBZYjAQiAQCAQCgWWIwEIgEAgEAoFliMBCIBAIBAKBZYjAQiAQCAQCgWWIwEIgEAgEAoFl/H+0eiPr4jwhYAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t_min = 0\n",
    "t_max = 50\n",
    "for i in range(1):\n",
    "    plt.figure()\n",
    "    plt.plot(ON_random[i][t_min:t_max,0])\n",
    "    plt.plot(ON_random[i][t_min:t_max,1])\n",
    "    plt.plot(ON_original[i][t_min:t_max])\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [],
   "source": [
    "def simplified_algorithm(ON_min,ON_max,maxDurationON):\n",
    "    ON_opt = np.zeros(endHourForCurrentYear)\n",
    "    ON_opt[0] = ON_min[0]\n",
    "\n",
    "    h = 0 + 1\n",
    "    while (h < endHourForCurrentYear):\n",
    "        if (ON_min[h] >= ON_opt[h - 1]):\n",
    "            ON_opt[h] = ON_min[h]\n",
    "            h += 1\n",
    "        else :\n",
    "            portee = 0\n",
    "            nivmin = ON_min[h]\n",
    "            nivmax = min(ON_max[h],ON_opt[h - 1])\n",
    "\n",
    "            for k in range(1,min(maxDurationON+1,endHourForCurrentYear-h)):\n",
    "                nivmax = min(ON_max[h + k],nivmax) # mise à jour du niveau maximum \n",
    "                if (nivmin >= nivmax): # on ne pourra pas aller plus loin que la portee calculée précedemment car le niveau max devient trop petit par rapport au niveau min\n",
    "                    break \n",
    "                if (ON_min[h + k] >= nivmin): # on va pouvoir remonter le nombre d'unités à au moins niveau min au moins sur l'intervalle [h,h+k-1]\n",
    "                    portee = k \n",
    "                nivmin= min(max(ON_min[h + k],nivmin),nivmax) # mise à jour du niveau minimum \n",
    "\n",
    "                        \n",
    "\n",
    "            if (portee == 0):\n",
    "                ON_opt[h] = ON_min[h]\n",
    "                h+=1               \n",
    "            else:\n",
    "                for k in range(portee):\n",
    "                    ON_opt[h + k] = nivmin\n",
    "                h += portee\n",
    "    assert np.all(ON_min<=ON_opt)\n",
    "    assert np.all(ON_max>=ON_opt)\n",
    "    return ON_opt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [],
   "source": [
    "ON_simplied = [simplified_algorithm(ON_random[i][:,0],ON_random[i][:,1],d[i]) for i in range(N)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in range(len(ON_original)):\n",
    "    assert np.all(ON_original[i]==ON_simplied[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.52 s ± 44.3 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
     ]
    }
   ],
   "source": [
    "%timeit [simplified_algorithm(ON_random[i][:,0],ON_random[i][:,1],d[i]) for i in range(N)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.52 s ± 53.8 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
     ]
    }
   ],
   "source": [
    "%timeit [orignal_algorithm(ON_random[i][:,0],ON_random[i][:,1],d[i]) for i in range(N)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {},
   "outputs": [],
   "source": [
    "import xpress as xp\n",
    "xp.controls.outputlog = 1\n",
    "xp.controls.miprelstop = 1e-10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [],
   "source": [
    "def optimization_problem(on_min, on_max, d):\n",
    "    p = xp.problem()\n",
    "\n",
    "    on = [xp.var(lb=on_min[i],ub=on_max[i],vartype=xp.integer) for i in range(endHourForCurrentYear)]\n",
    "    m_plus = [xp.var(lb=0,vartype=xp.integer) for i in range(endHourForCurrentYear)]\n",
    "\n",
    "    p.addVariable(on,m_plus)\n",
    "\n",
    "    p.addConstraint(on[i-1] - on[i]+m_plus[i] >= 0 for i in range(1,endHourForCurrentYear))\n",
    "    p.addConstraint(on[0]==on_min[0])\n",
    "\n",
    "    p.setObjective(xp.Sum([on[i] for i in range (endHourForCurrentYear)])+xp.Sum([(d+0.01)*m_plus[i] for i in range (endHourForCurrentYear)]))\n",
    "\n",
    "    p.solve()\n",
    "\n",
    "    return p.getSolution(on)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:36, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1746KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2333 rows         5367 cols         6940 elements      5367 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1746KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  7.01e+00] / [ 1.00e+00,  8.01e+00]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 45, support set: 329\n",
      " Number of orbits: 139, largest orbit: 5\n",
      " Row orbits: 54, row support: 127\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5338 (of 5338) columns in 759 (of 759) subproblems\n",
      "\n",
      " *** Solution found:  71287.06000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  71007.71000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  70982.650   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 14 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    14       70982.65000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  14 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 7.098265000000030e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         70982.65000  70982.65000      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 7.098264999999927e+04\n",
      "Final MIP bound                       : 7.098265000000030e+04\n",
      "  Solution time / primaldual integral :         0s/ 94.602914%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:36, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1748KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2314 rows         5306 cols         6873 elements      5306 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1748KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.80e+01] / [ 1.00e+00,  4.90e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 63, support set: 420\n",
      " Number of orbits: 175, largest orbit: 10\n",
      " Row orbits: 69, row support: 163\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5269 (of 5269) columns in 746 (of 746) subproblems\n",
      "\n",
      " *** Solution found:  280457.1000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  278984.8000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  278772.75   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 18 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    18       278772.7500      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  18 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.787727499999997e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         278772.7500  278772.7500      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.787727500000021e+05\n",
      "Final MIP bound                       : 2.787727499999998e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.762455%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:36, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1751KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2316 rows         5340 cols         6896 elements      5340 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 1 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1751KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.20e+01] / [ 1.00e+00,  4.30e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 45, support set: 324\n",
      " Number of orbits: 136, largest orbit: 9\n",
      " Row orbits: 53, row support: 125\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5309 (of 5309) columns in 759 (of 759) subproblems\n",
      "\n",
      " *** Solution found:  258368.0100   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  256730.6300   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  256306.52   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 15 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    15       256306.5200      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  15 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 2.563065199999993e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         256306.5200  256306.5200      3                  0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.563065199999998e+05\n",
      "Final MIP bound                       : 2.563065199999993e+05\n",
      "  Solution time / primaldual integral :         1s/ 94.387889%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:37, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1753KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2210 rows         5111 cols         6579 elements      5111 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1753KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.90e+01] / [ 1.00e+00,  2.00e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 50, support set: 294\n",
      " Number of orbits: 112, largest orbit: 8\n",
      " Row orbits: 43, row support: 110\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5086 (of 5086) columns in 741 (of 741) subproblems\n",
      "\n",
      " *** Solution found:  135377.7100   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  134706.3700   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  134580.30   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       134580.3000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.345802999999994e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         134580.3000  134580.3000      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.345802999999987e+05\n",
      "Final MIP bound                       : 1.345802999999994e+05\n",
      "  Solution time / primaldual integral :         0s/ 95.154847%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:37, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1755KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2307 rows         5313 cols         6857 elements      5313 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1755KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  2.90e+01] / [ 1.00e+00,  3.00e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 53, support set: 360\n",
      " Number of orbits: 146, largest orbit: 6\n",
      " Row orbits: 57, row support: 139\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5288 (of 5288) columns in 762 (of 762) subproblems\n",
      "\n",
      " *** Solution found:  190284.3100   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  189030.8900   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  188848.82   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 12 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    12       188848.8200      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  12 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 1.888488199999990e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         188848.8200  188848.8200      3                  0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.888488200000000e+05\n",
      "Final MIP bound                       : 1.888488199999991e+05\n",
      "  Solution time / primaldual integral :         1s/ 95.005978%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:38, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1758KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2325 rows         5334 cols         6905 elements      5334 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1758KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.70e+01] / [ 1.00e+00,  1.80e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 59, support set: 345\n",
      " Number of orbits: 127, largest orbit: 7\n",
      " Row orbits: 50, row support: 134\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5309 (of 5309) columns in 753 (of 753) subproblems\n",
      "\n",
      " *** Solution found:  121494.8400   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  120810.4600   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  120678.37   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 14 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    14       120678.3700      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  14 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.206783699999993e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         120678.3700  120678.3700      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.206783699999982e+05\n",
      "Final MIP bound                       : 1.206783699999993e+05\n",
      "  Solution time / primaldual integral :         0s/ 95.122130%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:38, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1760KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2285 rows         5261 cols         6802 elements      5261 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1760KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.00e+01] / [ 1.00e+00,  3.10e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 59, support set: 418\n",
      " Number of orbits: 173, largest orbit: 9\n",
      " Row orbits: 68, row support: 162\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5232 (of 5232) columns in 743 (of 743) subproblems\n",
      "\n",
      " *** Solution found:  188271.9500   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  187435.6800   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  187312.63   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 14 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    14       187312.6300      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  14 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 1.873126299999983e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         187312.6300  187312.6300      3                  0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.873126299999991e+05\n",
      "Final MIP bound                       : 1.873126299999984e+05\n",
      "  Solution time / primaldual integral :         1s/ 95.849059%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:39, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1762KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2225 rows         5125 cols         6612 elements      5125 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1762KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.20e+01] / [ 1.00e+00,  1.30e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 41, support set: 262\n",
      " Number of orbits: 109, largest orbit: 7\n",
      " Row orbits: 42, row support: 99\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5098 (of 5098) columns in 737 (of 737) subproblems\n",
      "\n",
      " *** Solution found:  99325.30000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  98788.88000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  98733.820   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 15 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    15       98733.82000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  15 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 9.873381999999956e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         98733.82000  98733.82000      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 9.873381999999845e+04\n",
      "Final MIP bound                       : 9.873381999999956e+04\n",
      "  Solution time / primaldual integral :         0s/ 95.445569%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:39, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1765KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2186 rows         5055 cols         6503 elements      5055 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1765KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.10e+01] / [ 1.00e+00,  4.20e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 52, support set: 336\n",
      " Number of orbits: 132, largest orbit: 6\n",
      " Row orbits: 52, row support: 130\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5030 (of 5030) columns in 737 (of 737) subproblems\n",
      "\n",
      " *** Solution found:  250833.5600   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  249287.1900   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  249057.13   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 12 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    12       249057.1300      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  12 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.490571299999998e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         249057.1300  249057.1300      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.490571300000007e+05\n",
      "Final MIP bound                       : 2.490571299999999e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.689539%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:39, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1767KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2224 rows         5124 cols         6616 elements      5124 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 1 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1767KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.70e+01] / [ 1.00e+00,  3.80e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 50, support set: 319\n",
      " Number of orbits: 124, largest orbit: 10\n",
      " Row orbits: 49, row support: 123\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5093 (of 5093) columns in 731 (of 731) subproblems\n",
      "\n",
      " *** Solution found:  230590.8200   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  229225.4600   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  229058.41   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 16 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    16       229058.4100      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  16 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 2.290584100000001e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         229058.4100  229058.4100      3                  0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.290584100000006e+05\n",
      "Final MIP bound                       : 2.290584100000002e+05\n",
      "  Solution time / primaldual integral :         1s/ 94.742981%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:40, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1769KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2123 rows         4902 cols         6324 elements      4902 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1769KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.50e+01] / [ 1.00e+00,  4.60e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 37, support set: 283\n",
      " Number of orbits: 122, largest orbit: 7\n",
      " Row orbits: 48, row support: 110\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 4877 (of 4877) columns in 700 (of 700) subproblems\n",
      "\n",
      " *** Solution found:  274141.1200   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  272998.8700   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  272838.83   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 12 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    12       272838.8300      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  12 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.728388299999998e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         272838.8300  272838.8300      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.728388300000016e+05\n",
      "Final MIP bound                       : 2.728388299999999e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.292778%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:40, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1771KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2152 rows         4971 cols         6399 elements      4971 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1771KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.10e+01] / [ 1.00e+00,  3.20e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 49, support set: 288\n",
      " Number of orbits: 111, largest orbit: 10\n",
      " Row orbits: 43, row support: 108\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 4938 (of 4938) columns in 723 (of 723) subproblems\n",
      "\n",
      " *** Solution found:  199144.7200   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  197585.2300   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  197402.16   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 16 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    16       197402.1600      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  16 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 1.974021599999997e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         197402.1600  197402.1600      3                  0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.974021600000002e+05\n",
      "Final MIP bound                       : 1.974021599999998e+05\n",
      "  Solution time / primaldual integral :         1s/ 95.407214%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:41, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1774KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2217 rows         5137 cols         6595 elements      5137 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1774KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.00e+01] / [ 1.00e+00,  4.10e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 52, support set: 381\n",
      " Number of orbits: 160, largest orbit: 5\n",
      " Row orbits: 64, row support: 151\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5110 (of 5110) columns in 758 (of 758) subproblems\n",
      "\n",
      " *** Solution found:  241160.5600   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  240143.3100   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  240115.30   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       240115.3000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.401152999999992e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         240115.3000  240115.3000      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.401152999999998e+05\n",
      "Final MIP bound                       : 2.401152999999993e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.608262%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:41, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1776KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2239 rows         5147 cols         6657 elements      5147 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1776KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  6.01e+00] / [ 1.00e+00,  7.01e+00]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 51, support set: 313\n",
      " Number of orbits: 120, largest orbit: 8\n",
      " Row orbits: 47, row support: 121\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5126 (of 5126) columns in 728 (of 728) subproblems\n",
      "\n",
      " *** Solution found:  66138.65000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  65935.35000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  65920.320   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 10 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    10       65920.32000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  10 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 6.592032000000025e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         65920.32000  65920.32000      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 6.592032000000004e+04\n",
      "Final MIP bound                       : 6.592032000000025e+04\n",
      "  Solution time / primaldual integral :         0s/ 95.551969%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:42, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1778KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2278 rows         5201 cols         6771 elements      5201 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1778KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.60e+01] / [ 1.00e+00,  4.70e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 52, support set: 321\n",
      " Number of orbits: 123, largest orbit: 8\n",
      " Row orbits: 48, row support: 125\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5174 (of 5174) columns in 707 (of 707) subproblems\n",
      "\n",
      " *** Solution found:  275714.3100   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  274070.9600   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  273761.89   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 14 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    14       273761.8900      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  14 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.737618899999992e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         273761.8900  273761.8900      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.737618900000015e+05\n",
      "Final MIP bound                       : 2.737618899999993e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.801206%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:42, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1781KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2198 rows         5086 cols         6549 elements      5086 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1781KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.70e+01] / [ 1.00e+00,  1.80e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 56, support set: 374\n",
      " Number of orbits: 155, largest orbit: 9\n",
      " Row orbits: 61, row support: 145\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5051 (of 5051) columns in 734 (of 734) subproblems\n",
      "\n",
      " *** Solution found:  125251.9000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  124435.4400   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  124334.37   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 17 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    17       124334.3700      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  17 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.243343699999996e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         124334.3700  124334.3700      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.243343699999987e+05\n",
      "Final MIP bound                       : 1.243343699999996e+05\n",
      "  Solution time / primaldual integral :         0s/ 95.731727%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:42, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1783KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2306 rows         5315 cols         6868 elements      5315 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1783KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.90e+01] / [ 1.00e+00,  4.00e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 48, support set: 329\n",
      " Number of orbits: 135, largest orbit: 8\n",
      " Row orbits: 52, row support: 125\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5288 (of 5288) columns in 752 (of 752) subproblems\n",
      "\n",
      " *** Solution found:  235023.2100   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  233627.8600   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  233483.82   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       233483.8200      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 2.334838199999996e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         233483.8200  233483.8200      3                  0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.334838200000003e+05\n",
      "Final MIP bound                       : 2.334838199999997e+05\n",
      "  Solution time / primaldual integral :         1s/ 94.931431%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:43, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1785KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2307 rows         5317 cols         6867 elements      5317 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1785KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.80e+01] / [ 1.00e+00,  1.90e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 43, support set: 305\n",
      " Number of orbits: 129, largest orbit: 5\n",
      " Row orbits: 51, row support: 119\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5286 (of 5286) columns in 756 (of 756) subproblems\n",
      "\n",
      " *** Solution found:  128936.0900   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  128255.7300   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  128129.64   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 15 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    15       128129.6400      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  15 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.281296399999992e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         128129.6400  128129.6400      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.281296399999981e+05\n",
      "Final MIP bound                       : 1.281296399999992e+05\n",
      "  Solution time / primaldual integral :         0s/ 95.686972%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:43, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1788KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2138 rows         4938 cols         6353 elements      4938 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1788KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.70e+01] / [ 1.00e+00,  3.80e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 49, support set: 331\n",
      " Number of orbits: 132, largest orbit: 8\n",
      " Row orbits: 51, row support: 127\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 4917 (of 4917) columns in 722 (of 722) subproblems\n",
      "\n",
      " *** Solution found:  227791.1900   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  226276.7900   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  226033.72   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 11 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    11       226033.7200      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  11 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.260337199999993e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         226033.7200  226033.7200      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.260337200000001e+05\n",
      "Final MIP bound                       : 2.260337199999994e+05\n",
      "  Solution time / primaldual integral :         0s/ 95.473314%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:44, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1790KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2198 rows         5084 cols         6543 elements      5084 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1790KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  2.30e+01] / [ 1.00e+00,  2.40e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 44, support set: 318\n",
      " Number of orbits: 141, largest orbit: 5\n",
      " Row orbits: 55, row support: 123\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5059 (of 5059) columns in 738 (of 738) subproblems\n",
      "\n",
      " *** Solution found:  154558.0300   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  153890.7500   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  153788.70   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       153788.7000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.537886999999990e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         153788.7000  153788.7000      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.537886999999997e+05\n",
      "Final MIP bound                       : 1.537886999999991e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.807834%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:44, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1792KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2260 rows         5221 cols         6726 elements      5221 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1792KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.90e+01] / [ 1.00e+00,  2.00e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 56, support set: 425\n",
      " Number of orbits: 184, largest orbit: 6\n",
      " Row orbits: 72, row support: 165\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5194 (of 5194) columns in 754 (of 754) subproblems\n",
      "\n",
      " *** Solution found:  133277.8300   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  132343.3600   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  132227.28   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       132227.2800      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.322272799999989e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         132227.2800  132227.2800      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.322272799999984e+05\n",
      "Final MIP bound                       : 1.322272799999989e+05\n",
      "  Solution time / primaldual integral :         0s/ 95.869338%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:44, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1795KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2236 rows         5149 cols         6662 elements      5149 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1795KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.60e+01] / [ 1.00e+00,  3.70e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 50, support set: 335\n",
      " Number of orbits: 143, largest orbit: 10\n",
      " Row orbits: 55, row support: 127\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5122 (of 5122) columns in 722 (of 722) subproblems\n",
      "\n",
      " *** Solution found:  223387.2400   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  222248.9300   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  222087.88   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       222087.8800      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 2.220878799999998e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         222087.8800  222087.8800      3                  0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.220878800000002e+05\n",
      "Final MIP bound                       : 2.220878799999999e+05\n",
      "  Solution time / primaldual integral :         1s/ 95.302624%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:45, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1797KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2114 rows         4897 cols         6296 elements      4897 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1797KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  7.01e+00] / [ 1.00e+00,  8.01e+00]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 49, support set: 340\n",
      " Number of orbits: 145, largest orbit: 6\n",
      " Row orbits: 57, row support: 133\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 4864 (of 4864) columns in 714 (of 714) subproblems\n",
      "\n",
      " *** Solution found:  73503.74000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  73203.36000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  73177.310   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 12 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    12       73177.31000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  12 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 7.317731000000026e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         73177.31000  73177.31000      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 7.317730999999891e+04\n",
      "Final MIP bound                       : 7.317731000000026e+04\n",
      "  Solution time / primaldual integral :         0s/ 94.487151%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:45, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1799KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2298 rows         5295 cols         6836 elements      5295 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1799KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.20e+01] / [ 1.00e+00,  4.30e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 51, support set: 353\n",
      " Number of orbits: 153, largest orbit: 9\n",
      " Row orbits: 60, row support: 136\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5268 (of 5268) columns in 756 (of 756) subproblems\n",
      "\n",
      " *** Solution found:  256713.7100   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  254873.2800   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  254639.22   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       254639.2200      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.546392199999989e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         254639.2200  254639.2200      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.546392199999998e+05\n",
      "Final MIP bound                       : 2.546392199999990e+05\n",
      "  Solution time / primaldual integral :         0s/ 95.382259%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:45, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1802KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2307 rows         5316 cols         6864 elements      5316 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 1 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1802KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.60e+01] / [ 1.00e+00,  1.70e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 57, support set: 376\n",
      " Number of orbits: 153, largest orbit: 8\n",
      " Row orbits: 60, row support: 146\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5289 (of 5289) columns in 758 (of 758) subproblems\n",
      "\n",
      " *** Solution found:  118054.8100   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  117346.3900   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  117257.32   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       117257.3200      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 1.172573199999990e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         117257.3200  117257.3200      3                 -0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.172573199999979e+05\n",
      "Final MIP bound                       : 1.172573199999990e+05\n",
      "  Solution time / primaldual integral :         1s/ 93.170119%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:46, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1804KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2224 rows         5115 cols         6607 elements      5115 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1804KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.01e+00] / [ 1.00e+00,  4.01e+00]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 41, support set: 298\n",
      " Number of orbits: 131, largest orbit: 5\n",
      " Row orbits: 52, row support: 117\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5086 (of 5086) columns in 731 (of 731) subproblems\n",
      "\n",
      " *** Solution found:  50301.61000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  50168.26000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  50161.210   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 12 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    12       50161.21000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  12 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 5.016121000000003e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         50161.21000  50161.21000      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 5.016120999999998e+04\n",
      "Final MIP bound                       : 5.016121000000003e+04\n",
      "  Solution time / primaldual integral :         0s/ 94.723009%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:46, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1806KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2243 rows         5149 cols         6657 elements      5149 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1806KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  2.60e+01] / [ 1.00e+00,  2.70e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 45, support set: 308\n",
      " Number of orbits: 122, largest orbit: 7\n",
      " Row orbits: 48, row support: 119\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5126 (of 5126) columns in 734 (of 734) subproblems\n",
      "\n",
      " *** Solution found:  168784.3900   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  168144.1500   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  168095.13   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 11 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    11       168095.1300      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  11 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 1.680951299999990e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         168095.1300  168095.1300      3                  0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.680951300000001e+05\n",
      "Final MIP bound                       : 1.680951299999991e+05\n",
      "  Solution time / primaldual integral :         1s/ 95.653164%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:47, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1809KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2239 rows         5158 cols         6662 elements      5158 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1809KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.20e+01] / [ 1.00e+00,  4.30e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 47, support set: 351\n",
      " Number of orbits: 148, largest orbit: 6\n",
      " Row orbits: 59, row support: 138\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5129 (of 5129) columns in 734 (of 734) subproblems\n",
      "\n",
      " *** Solution found:  259453.3800   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  257784.9900   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  257583.94   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 15 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    15       257583.9400      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  15 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.575839399999997e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         257583.9400  257583.9400      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.575839400000003e+05\n",
      "Final MIP bound                       : 2.575839399999997e+05\n",
      "  Solution time / primaldual integral :         0s/ 95.880164%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:47, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1811KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2266 rows         5253 cols         6741 elements      5253 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1811KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  2.90e+01] / [ 1.00e+00,  3.00e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 69, support set: 467\n",
      " Number of orbits: 195, largest orbit: 7\n",
      " Row orbits: 77, row support: 182\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5228 (of 5228) columns in 777 (of 777) subproblems\n",
      "\n",
      " *** Solution found:  186197.9600   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  185062.5800   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  185005.56   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       185005.5600      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.850055599999982e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         185005.5600  185005.5600      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.850055599999989e+05\n",
      "Final MIP bound                       : 1.850055599999983e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.665868%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:48, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1813KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2227 rows         5111 cols         6622 elements      5111 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1813KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.01e+00] / [ 1.00e+00,  4.01e+00]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 33, support set: 270\n",
      " Number of orbits: 125, largest orbit: 3\n",
      " Row orbits: 49, row support: 106\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5074 (of 5074) columns in 715 (of 715) subproblems\n",
      "\n",
      " *** Solution found:  50310.85000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  50124.36000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  50114.290   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 14 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    14       50114.29000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  14 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 5.011428999999994e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         50114.29000  50114.29000      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 5.011428999999975e+04\n",
      "Final MIP bound                       : 5.011428999999994e+04\n",
      "  Solution time / primaldual integral :         0s/ 94.221520%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:48, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1816KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2187 rows         5035 cols         6501 elements      5035 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1816KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.70e+01] / [ 1.00e+00,  3.80e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 43, support set: 300\n",
      " Number of orbits: 131, largest orbit: 7\n",
      " Row orbits: 51, row support: 115\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5008 (of 5008) columns in 720 (of 720) subproblems\n",
      "\n",
      " *** Solution found:  224203.1100   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  222199.5800   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  222103.55   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       222103.5500      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.221035500000000e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         222103.5500  222103.5500      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.221035500000007e+05\n",
      "Final MIP bound                       : 2.221035500000000e+05\n",
      "  Solution time / primaldual integral :         0s/ 95.097738%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:48, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1818KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2210 rows         5100 cols         6579 elements      5100 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1818KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.00e+01] / [ 1.00e+00,  4.10e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 48, support set: 324\n",
      " Number of orbits: 136, largest orbit: 9\n",
      " Row orbits: 52, row support: 122\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5074 (of 5074) columns in 730 (of 730) subproblems\n",
      "\n",
      " *** Solution found:  251042.8800   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  249089.4000   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  248935.36   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 14 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    14       248935.3600      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  14 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 2.489353599999993e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         248935.3600  248935.3600      3                  0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.489353600000004e+05\n",
      "Final MIP bound                       : 2.489353599999994e+05\n",
      "  Solution time / primaldual integral :         1s/ 95.341421%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:49, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1820KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2277 rows         5236 cols         6761 elements      5236 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1820KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  2.01e+00] / [10.00e-03,  3.01e+00]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 58, support set: 342\n",
      " Number of orbits: 135, largest orbit: 6\n",
      " Row orbits: 54, row support: 137\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5203 (of 5203) columns in 751 (of 751) subproblems\n",
      "\n",
      " *** Solution found:  44001.76000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  43894.41000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  43894.390   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 16 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    16       43894.39000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  16 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 4.389439000000001e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         43894.39000  43894.39000      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 4.389438999999993e+04\n",
      "Final MIP bound                       : 4.389439000000001e+04\n",
      "  Solution time / primaldual integral :         0s/ 95.195441%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:49, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1823KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2127 rows         4927 cols         6321 elements      4927 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1823KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  8.01e+00] / [ 1.00e+00,  9.01e+00]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 62, support set: 412\n",
      " Number of orbits: 157, largest orbit: 7\n",
      " Row orbits: 62, row support: 161\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 4902 (of 4902) columns in 732 (of 732) subproblems\n",
      "\n",
      " *** Solution found:  77719.22000   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  77363.81000   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  77345.780   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 10 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    10       77345.78000      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  10 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 7.734578000000028e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         77345.78000  77345.78000      3                 -0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 7.734577999999905e+04\n",
      "Final MIP bound                       : 7.734578000000028e+04\n",
      "  Solution time / primaldual integral :         1s/ 95.288828%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:50, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1825KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2190 rows         5051 cols         6507 elements      5051 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1825KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.20e+01] / [ 1.00e+00,  3.30e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 51, support set: 356\n",
      " Number of orbits: 150, largest orbit: 6\n",
      " Row orbits: 60, row support: 142\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5026 (of 5026) columns in 733 (of 733) subproblems\n",
      "\n",
      " *** Solution found:  197802.7000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  196653.3500   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  196513.30   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 12 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    12       196513.3000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  12 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.965132999999989e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         196513.3000  196513.3000      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.965132999999993e+05\n",
      "Final MIP bound                       : 1.965132999999989e+05\n",
      "  Solution time / primaldual integral :         0s/ 96.017717%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:50, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1827KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2196 rows         5055 cols         6514 elements      5055 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1827KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.70e+01] / [ 1.00e+00,  4.80e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 51, support set: 387\n",
      " Number of orbits: 177, largest orbit: 8\n",
      " Row orbits: 70, row support: 152\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5024 (of 5024) columns in 736 (of 736) subproblems\n",
      "\n",
      " *** Solution found:  275929.2100   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  274304.8700   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  274179.84   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 16 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    16       274179.8400      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  16 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.741798399999995e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         274179.8400  274179.8400      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.741798400000010e+05\n",
      "Final MIP bound                       : 2.741798399999998e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.622013%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:50, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1830KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2245 rows         5176 cols         6681 elements      5176 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 1 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1829KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.00e+01] / [ 1.00e+00,  4.10e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 50, support set: 335\n",
      " Number of orbits: 138, largest orbit: 8\n",
      " Row orbits: 55, row support: 131\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5154 (of 5154) columns in 739 (of 739) subproblems\n",
      "\n",
      " *** Solution found:  240710.2500   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  239647.9900   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  239493.95   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 12 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    12       239493.9500      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  12 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 2.394939499999997e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         239493.9500  239493.9500      3                  0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.394939500000005e+05\n",
      "Final MIP bound                       : 2.394939499999997e+05\n",
      "  Solution time / primaldual integral :         1s/ 94.561500%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:51, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1832KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2337 rows         5363 cols         6955 elements      5363 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1832KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.60e+01] / [ 1.00e+00,  1.70e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 39, support set: 284\n",
      " Number of orbits: 127, largest orbit: 7\n",
      " Row orbits: 50, row support: 110\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5320 (of 5320) columns in 744 (of 744) subproblems\n",
      "\n",
      " *** Solution found:  118374.9000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  117530.4000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  117434.33   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 21 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    21       117434.3300      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  21 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.174343299999992e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         117434.3300  117434.3300      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.174343299999982e+05\n",
      "Final MIP bound                       : 1.174343299999992e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.609752%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:51, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1834KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2226 rows         5135 cols         6619 elements      5135 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1834KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.70e+01] / [ 1.00e+00,  4.80e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 45, support set: 289\n",
      " Number of orbits: 116, largest orbit: 6\n",
      " Row orbits: 46, row support: 112\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5112 (of 5112) columns in 741 (of 741) subproblems\n",
      "\n",
      " *** Solution found:  278897.7600   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  276892.3400   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  276801.32   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 11 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    11       276801.3200      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  11 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.768013199999998e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         276801.3200  276801.3200      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.768013200000019e+05\n",
      "Final MIP bound                       : 2.768013199999999e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.822769%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:52, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1836KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2284 rows         5243 cols         6784 elements      5243 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1836KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.00e+01] / [ 1.00e+00,  4.10e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 35, support set: 255\n",
      " Number of orbits: 114, largest orbit: 4\n",
      " Row orbits: 45, row support: 101\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5218 (of 5218) columns in 742 (of 742) subproblems\n",
      "\n",
      " *** Solution found:  244189.2500   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  242516.8400   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  242401.81   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 14 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    14       242401.8100      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  14 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.424018099999996e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         242401.8100  242401.8100      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.424018100000001e+05\n",
      "Final MIP bound                       : 2.424018099999997e+05\n",
      "  Solution time / primaldual integral :         0s/ 95.881499%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:52, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1839KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2239 rows         5166 cols         6661 elements      5166 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1839KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.01e+00] / [ 1.00e+00,  4.01e+00]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 55, support set: 396\n",
      " Number of orbits: 169, largest orbit: 6\n",
      " Row orbits: 67, row support: 155\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5143 (of 5143) columns in 743 (of 743) subproblems\n",
      "\n",
      " *** Solution found:  50231.18000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  50105.83000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  50098.800   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 8 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "     8       50098.80000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  8 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 5.009879999999999e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         50098.80000  50098.80000      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 5.009879999999993e+04\n",
      "Final MIP bound                       : 5.009879999999999e+04\n",
      "  Solution time / primaldual integral :         0s/ 94.653104%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:52, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1841KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2219 rows         5118 cols         6587 elements      5118 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1841KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.50e+01] / [ 1.00e+00,  4.60e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 58, support set: 373\n",
      " Number of orbits: 139, largest orbit: 7\n",
      " Row orbits: 55, row support: 147\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5091 (of 5091) columns in 749 (of 749) subproblems\n",
      "\n",
      " *** Solution found:  270962.3600   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  269220.9800   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  268980.92   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       268980.9200      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 2.689809199999988e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         268980.9200  268980.9200      3                  0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.689809199999998e+05\n",
      "Final MIP bound                       : 2.689809199999989e+05\n",
      "  Solution time / primaldual integral :         1s/ 94.877217%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:53, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1843KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2297 rows         5299 cols         6826 elements      5299 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1843KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.20e+01] / [ 1.00e+00,  3.30e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 46, support set: 315\n",
      " Number of orbits: 123, largest orbit: 8\n",
      " Row orbits: 49, row support: 124\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5270 (of 5270) columns in 769 (of 769) subproblems\n",
      "\n",
      " *** Solution found:  197305.7200   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  195788.2600   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  195555.18   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 15 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    15       195555.1800      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  15 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.955551799999989e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         195555.1800  195555.1800      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.955551799999994e+05\n",
      "Final MIP bound                       : 1.955551799999989e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.785383%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:53, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1846KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2305 rows         5304 cols         6860 elements      5304 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1846KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  2.70e+01] / [ 1.00e+00,  2.80e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 42, support set: 302\n",
      " Number of orbits: 130, largest orbit: 9\n",
      " Row orbits: 51, row support: 117\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5275 (of 5275) columns in 748 (of 748) subproblems\n",
      "\n",
      " *** Solution found:  179082.3700   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  178252.0700   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  178189.04   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 14 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    14       178189.0400      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  14 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.781890399999987e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         178189.0400  178189.0400      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.781890399999997e+05\n",
      "Final MIP bound                       : 1.781890399999988e+05\n",
      "  Solution time / primaldual integral :         0s/ 95.035593%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:53, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1848KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2317 rows         5331 cols         6891 elements      5331 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 1 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1848KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.60e+01] / [ 1.00e+00,  4.70e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 54, support set: 384\n",
      " Number of orbits: 162, largest orbit: 9\n",
      " Row orbits: 64, row support: 150\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5300 (of 5300) columns in 756 (of 756) subproblems\n",
      "\n",
      " *** Solution found:  275488.1700   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  273050.6500   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  272886.61   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 17 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    17       272886.6100      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  17 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 2.728866099999995e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         272886.6100  272886.6100      3                  0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.728866100000012e+05\n",
      "Final MIP bound                       : 2.728866099999996e+05\n",
      "  Solution time / primaldual integral :         1s/ 94.519196%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:54, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1850KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2250 rows         5180 cols         6688 elements      5180 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1850KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.50e+01] / [ 1.00e+00,  3.60e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 60, support set: 359\n",
      " Number of orbits: 140, largest orbit: 8\n",
      " Row orbits: 55, row support: 139\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5155 (of 5155) columns in 741 (of 741) subproblems\n",
      "\n",
      " *** Solution found:  214390.1000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  213099.7400   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  212899.68   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       212899.6800      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.128996799999997e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         212899.6800  212899.6800      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.128996800000003e+05\n",
      "Final MIP bound                       : 2.128996799999998e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.853858%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:54, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1853KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2248 rows         5182 cols         6684 elements      5182 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1853KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.90e+01] / [ 1.00e+00,  4.00e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 51, support set: 354\n",
      " Number of orbits: 155, largest orbit: 7\n",
      " Row orbits: 62, row support: 140\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5159 (of 5159) columns in 745 (of 745) subproblems\n",
      "\n",
      " *** Solution found:  235912.3800   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  234795.1000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  234687.07   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 11 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    11       234687.0700      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  11 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.346870699999989e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         234687.0700  234687.0700      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.346870699999999e+05\n",
      "Final MIP bound                       : 2.346870699999990e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.832121%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:55, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1855KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2232 rows         5152 cols         6642 elements      5152 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1855KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.80e+01] / [ 1.00e+00,  3.90e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 58, support set: 409\n",
      " Number of orbits: 169, largest orbit: 7\n",
      " Row orbits: 66, row support: 157\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5129 (of 5129) columns in 741 (of 741) subproblems\n",
      "\n",
      " *** Solution found:  235659.7400   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  234264.3800   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  233990.30   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 11 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    11       233990.3000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  11 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.339902999999993e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         233990.3000  233990.3000      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.339902999999996e+05\n",
      "Final MIP bound                       : 2.339902999999993e+05\n",
      "  Solution time / primaldual integral :         0s/ 95.923063%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:55, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1857KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2297 rows         5302 cols         6839 elements      5302 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1857KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  5.01e+00] / [ 1.00e+00,  6.01e+00]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 64, support set: 441\n",
      " Number of orbits: 179, largest orbit: 9\n",
      " Row orbits: 70, row support: 170\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5275 (of 5275) columns in 759 (of 759) subproblems\n",
      "\n",
      " *** Solution found:  60787.73000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  60508.25000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  60492.200   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       60492.20000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 6.049220000000023e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         60492.20000  60492.20000      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 6.049219999999996e+04\n",
      "Final MIP bound                       : 6.049220000000023e+04\n",
      "  Solution time / primaldual integral :         0s/ 95.005377%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:55, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1860KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2184 rows         5064 cols         6499 elements      5064 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1860KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  9.01e+00] / [ 1.00e+00,  1.00e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 58, support set: 390\n",
      " Number of orbits: 156, largest orbit: 9\n",
      " Row orbits: 62, row support: 151\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5039 (of 5039) columns in 748 (of 748) subproblems\n",
      "\n",
      " *** Solution found:  83565.41000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  83206.05000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  83183.010   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       83183.01000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 8.318301000000020e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         83183.01000  83183.01000      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 8.318300999999901e+04\n",
      "Final MIP bound                       : 8.318301000000020e+04\n",
      "  Solution time / primaldual integral :         0s/ 94.572443%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:56, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1862KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2124 rows         4908 cols         6316 elements      4908 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1862KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.10e+01] / [ 1.00e+00,  4.20e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 46, support set: 310\n",
      " Number of orbits: 127, largest orbit: 7\n",
      " Row orbits: 49, row support: 118\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 4885 (of 4885) columns in 715 (of 715) subproblems\n",
      "\n",
      " *** Solution found:  252594.9600   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  251589.7200   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  251441.68   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 11 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    11       251441.6800      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  11 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.514416799999996e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         251441.6800  251441.6800      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.514416800000006e+05\n",
      "Final MIP bound                       : 2.514416799999996e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.760094%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:56, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1864KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2312 rows         5332 cols         6873 elements      5332 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1864KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.10e+01] / [ 1.00e+00,  4.20e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 54, support set: 376\n",
      " Number of orbits: 153, largest orbit: 8\n",
      " Row orbits: 61, row support: 147\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5307 (of 5307) columns in 770 (of 770) subproblems\n",
      "\n",
      " *** Solution found:  241305.3100   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  239721.9300   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  239685.92   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 12 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    12       239685.9200      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  12 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.396859199999992e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         239685.9200  239685.9200      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.396859200000003e+05\n",
      "Final MIP bound                       : 2.396859199999993e+05\n",
      "  Solution time / primaldual integral :         0s/ 95.069014%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:56, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1867KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2222 rows         5111 cols         6595 elements      5111 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1867KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.00e+01] / [ 1.00e+00,  1.10e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 59, support set: 397\n",
      " Number of orbits: 161, largest orbit: 7\n",
      " Row orbits: 63, row support: 153\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5084 (of 5084) columns in 737 (of 737) subproblems\n",
      "\n",
      " *** Solution found:  86507.88000   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  86123.52000   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  86101.500   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 11 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    11       86101.50000      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  11 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 8.610150000000038e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         86101.50000  86101.50000      3                 -0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 8.610149999999930e+04\n",
      "Final MIP bound                       : 8.610150000000038e+04\n",
      "  Solution time / primaldual integral :         1s/ 95.915397%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:57, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1869KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2182 rows         5028 cols         6487 elements      5028 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1869KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.20e+01] / [ 1.00e+00,  1.30e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 66, support set: 397\n",
      " Number of orbits: 147, largest orbit: 10\n",
      " Row orbits: 58, row support: 153\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 4997 (of 4997) columns in 722 (of 722) subproblems\n",
      "\n",
      " *** Solution found:  96310.03000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  95821.65000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  95788.610   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 15 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    15       95788.61000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  15 simplex iterations in 0.00 seconds at time 0\n",
      "\n",
      "Final objective                       : 9.578860999999959e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         95788.61000  95788.61000      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 9.578860999999863e+04\n",
      "Final MIP bound                       : 9.578860999999959e+04\n",
      "  Solution time / primaldual integral :         0s/ 95.947271%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:57, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1871KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2198 rows         5050 cols         6541 elements      5050 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1871KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.20e+01] / [ 1.00e+00,  3.30e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 35, support set: 248\n",
      " Number of orbits: 112, largest orbit: 6\n",
      " Row orbits: 44, row support: 96\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5021 (of 5021) columns in 706 (of 706) subproblems\n",
      "\n",
      " *** Solution found:  201513.9300   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  200203.5300   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  200063.48   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 15 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    15       200063.4800      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  15 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.000634799999993e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         200063.4800  200063.4800      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.000634800000001e+05\n",
      "Final MIP bound                       : 2.000634799999995e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.319145%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:58, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1874KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2234 rows         5156 cols         6642 elements      5156 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1874KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  2.90e+01] / [ 1.00e+00,  3.00e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 53, support set: 370\n",
      " Number of orbits: 153, largest orbit: 7\n",
      " Row orbits: 61, row support: 145\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5127 (of 5127) columns in 747 (of 747) subproblems\n",
      "\n",
      " *** Solution found:  188291.8300   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  187070.4200   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  186916.36   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 15 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    15       186916.3600      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  15 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.869163599999982e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         186916.3600  186916.3600      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.869163599999992e+05\n",
      "Final MIP bound                       : 1.869163599999984e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.944446%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:58, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1876KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2206 rows         5090 cols         6570 elements      5090 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1876KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.20e+01] / [ 1.00e+00,  1.30e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 51, support set: 328\n",
      " Number of orbits: 135, largest orbit: 6\n",
      " Row orbits: 53, row support: 127\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5059 (of 5059) columns in 725 (of 725) subproblems\n",
      "\n",
      " *** Solution found:  95786.69000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  95363.36000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  95317.310   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 15 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    15       95317.31000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  15 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 9.531730999999971e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         95317.31000  95317.31000      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 9.531730999999851e+04\n",
      "Final MIP bound                       : 9.531730999999971e+04\n",
      "  Solution time / primaldual integral :         0s/ 94.191899%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:58, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1878KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2100 rows         4856 cols         6240 elements      4856 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1878KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  2.50e+01] / [ 1.00e+00,  2.60e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 58, support set: 406\n",
      " Number of orbits: 169, largest orbit: 5\n",
      " Row orbits: 67, row support: 159\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 4827 (of 4827) columns in 715 (of 715) subproblems\n",
      "\n",
      " *** Solution found:  166437.5600   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  165405.1600   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  165225.08   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 15 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    15       165225.0800      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  15 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.652250799999991e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         165225.0800  165225.0800      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.652250800000002e+05\n",
      "Final MIP bound                       : 1.652250799999992e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.133426%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:59, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1881KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2341 rows         5377 cols         6979 elements      5377 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1881KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.40e+01] / [ 1.00e+00,  3.50e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 49, support set: 387\n",
      " Number of orbits: 172, largest orbit: 6\n",
      " Row orbits: 68, row support: 152\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5338 (of 5338) columns in 738 (of 738) subproblems\n",
      "\n",
      " *** Solution found:  212296.1600   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  210406.6200   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  210111.52   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 19 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    19       210111.5200      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  19 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.101115199999994e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         210111.5200  210111.5200      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.101115200000003e+05\n",
      "Final MIP bound                       : 2.101115199999995e+05\n",
      "  Solution time / primaldual integral :         0s/ 95.102693%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:59, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1883KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2243 rows         5179 cols         6673 elements      5179 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1883KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  5.01e+00] / [ 1.00e+00,  6.01e+00]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 52, support set: 356\n",
      " Number of orbits: 149, largest orbit: 6\n",
      " Row orbits: 58, row support: 137\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5148 (of 5148) columns in 748 (of 748) subproblems\n",
      "\n",
      " *** Solution found:  60936.19000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  60712.81000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  60693.750   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 12 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    12       60693.75000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  12 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 6.069375000000015e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         60693.75000  60693.75000      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 6.069374999999987e+04\n",
      "Final MIP bound                       : 6.069375000000015e+04\n",
      "  Solution time / primaldual integral :         0s/ 94.274717%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:16:59, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1885KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2244 rows         5189 cols         6674 elements      5189 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1885KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.20e+01] / [ 1.00e+00,  3.30e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 56, support set: 384\n",
      " Number of orbits: 161, largest orbit: 5\n",
      " Row orbits: 63, row support: 148\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5158 (of 5158) columns in 758 (of 758) subproblems\n",
      "\n",
      " *** Solution found:  204809.0300   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  202465.3200   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  202296.26   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 16 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    16       202296.2600      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  16 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.022962599999994e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         202296.2600  202296.2600      3                  0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.022962600000001e+05\n",
      "Final MIP bound                       : 2.022962599999995e+05\n",
      "  Solution time / primaldual integral :         1s/ 94.922100%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:00, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1888KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2253 rows         5193 cols         6694 elements      5193 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1887KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  2.70e+01] / [ 1.00e+00,  2.80e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 58, support set: 421\n",
      " Number of orbits: 179, largest orbit: 8\n",
      " Row orbits: 72, row support: 167\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5168 (of 5168) columns in 751 (of 751) subproblems\n",
      "\n",
      " *** Solution found:  177778.7800   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  177052.5200   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  176942.47   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 12 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    12       176942.4700      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  12 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.769424699999989e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         176942.4700  176942.4700      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.769424699999999e+05\n",
      "Final MIP bound                       : 1.769424699999990e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.972235%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:00, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1890KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2172 rows         5007 cols         6462 elements      5007 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1890KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.80e+01] / [ 1.00e+00,  1.90e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 48, support set: 282\n",
      " Number of orbits: 106, largest orbit: 8\n",
      " Row orbits: 41, row support: 107\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 4978 (of 4978) columns in 716 (of 716) subproblems\n",
      "\n",
      " *** Solution found:  131214.5100   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  130301.0300   Time:   0    Heuristic: e ***\n",
      " *** Solution found:  130300.0300   Time:   0    Heuristic: h ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  130147.92   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 14 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    14       130147.9200      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  14 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.301479199999994e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         130147.9200  130147.9200      4                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.301479199999987e+05\n",
      "Final MIP bound                       : 1.301479199999994e+05\n",
      "  Solution time / primaldual integral :         0s/ 95.057309%\n",
      "  Number of solutions found / nodes   :         4 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:00, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1892KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2020 rows         4698 cols         6009 elements      4698 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1892KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.00e+01] / [ 1.00e+00,  1.10e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 51, support set: 329\n",
      " Number of orbits: 140, largest orbit: 8\n",
      " Row orbits: 54, row support: 125\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 4673 (of 4673) columns in 708 (of 708) subproblems\n",
      "\n",
      " *** Solution found:  90574.55000   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  90211.21000   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  90170.150   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       90170.15000      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 9.017014999999983e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         90170.15000  90170.15000      3                 -0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 9.017014999999867e+04\n",
      "Final MIP bound                       : 9.017014999999983e+04\n",
      "  Solution time / primaldual integral :         1s/ 94.904107%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:01, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1894KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2308 rows         5329 cols         6859 elements      5329 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1894KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.40e+01] / [ 1.00e+00,  3.50e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 59, support set: 428\n",
      " Number of orbits: 181, largest orbit: 9\n",
      " Row orbits: 72, row support: 168\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5304 (of 5304) columns in 777 (of 777) subproblems\n",
      "\n",
      " *** Solution found:  209411.2100   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  208226.8700   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  208099.83   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 16 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    16       208099.8300      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  16 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.080998299999991e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         208099.8300  208099.8300      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.080998300000001e+05\n",
      "Final MIP bound                       : 2.080998299999992e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.463754%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:01, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1897KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2309 rows         5324 cols         6874 elements      5324 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1897KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.60e+01] / [ 1.00e+00,  1.70e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 63, support set: 445\n",
      " Number of orbits: 177, largest orbit: 5\n",
      " Row orbits: 70, row support: 174\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5297 (of 5297) columns in 758 (of 758) subproblems\n",
      "\n",
      " *** Solution found:  118443.9300   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  117886.6000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  117792.53   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       117792.5300      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.177925299999993e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         117792.5300  117792.5300      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.177925299999985e+05\n",
      "Final MIP bound                       : 1.177925299999993e+05\n",
      "  Solution time / primaldual integral :         0s/ 95.676731%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:01, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1899KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2244 rows         5177 cols         6670 elements      5177 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 1 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1899KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.50e+01] / [ 1.00e+00,  3.60e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 57, support set: 406\n",
      " Number of orbits: 168, largest orbit: 7\n",
      " Row orbits: 66, row support: 158\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5148 (of 5148) columns in 750 (of 750) subproblems\n",
      "\n",
      " *** Solution found:  217098.0200   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  215485.5700   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  215299.51   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 14 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    14       215299.5100      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  14 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 2.152995099999993e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         215299.5100  215299.5100      3                  0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.152995099999997e+05\n",
      "Final MIP bound                       : 2.152995099999994e+05\n",
      "  Solution time / primaldual integral :         1s/ 94.796610%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:02, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1901KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2224 rows         5120 cols         6604 elements      5120 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1901KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.30e+01] / [ 1.00e+00,  4.40e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 61, support set: 391\n",
      " Number of orbits: 144, largest orbit: 6\n",
      " Row orbits: 57, row support: 154\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5083 (of 5083) columns in 739 (of 739) subproblems\n",
      "\n",
      " *** Solution found:  266254.8200   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  263666.2300   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  263431.17   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 18 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    18       263431.1700      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  18 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.634311699999995e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         263431.1700  263431.1700      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.634311700000006e+05\n",
      "Final MIP bound                       : 2.634311699999996e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.026817%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:02, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1904KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2231 rows         5150 cols         6644 elements      5150 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1904KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.60e+01] / [ 1.00e+00,  4.70e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 43, support set: 262\n",
      " Number of orbits: 102, largest orbit: 8\n",
      " Row orbits: 39, row support: 98\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5121 (of 5121) columns in 736 (of 736) subproblems\n",
      "\n",
      " *** Solution found:  278765.9900   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  276847.5800   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  276759.56   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 15 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    15       276759.5600      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  15 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.767595599999998e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         276759.5600  276759.5600      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.767595600000022e+05\n",
      "Final MIP bound                       : 2.767595599999999e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.840250%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:03, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1906KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2234 rows         5150 cols         6635 elements      5150 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1906KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.10e+01] / [ 1.00e+00,  3.20e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 62, support set: 414\n",
      " Number of orbits: 170, largest orbit: 6\n",
      " Row orbits: 68, row support: 164\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5125 (of 5125) columns in 748 (of 748) subproblems\n",
      "\n",
      " *** Solution found:  196129.8500   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  194980.4900   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  194872.45   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 14 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    14       194872.4500      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  14 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.948724499999992e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         194872.4500  194872.4500      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.948724500000003e+05\n",
      "Final MIP bound                       : 1.948724499999993e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.813782%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:03, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1908KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2271 rows         5220 cols         6756 elements      5220 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1908KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  2.70e+01] / [ 1.00e+00,  2.80e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 37, support set: 246\n",
      " Number of orbits: 106, largest orbit: 7\n",
      " Row orbits: 42, row support: 96\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5185 (of 5185) columns in 734 (of 734) subproblems\n",
      "\n",
      " *** Solution found:  175041.8800   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  173678.3900   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  173537.33   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 18 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    18       173537.3300      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  18 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.735373299999988e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         173537.3300  173537.3300      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.735373299999999e+05\n",
      "Final MIP bound                       : 1.735373299999990e+05\n",
      "  Solution time / primaldual integral :         0s/ 95.254238%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:03, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1911KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2263 rows         5207 cols         6732 elements      5207 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1911KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.40e+01] / [ 1.00e+00,  1.50e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 47, support set: 319\n",
      " Number of orbits: 130, largest orbit: 6\n",
      " Row orbits: 51, row support: 124\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5176 (of 5176) columns in 737 (of 737) subproblems\n",
      "\n",
      " *** Solution found:  109884.3100   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  109396.9800   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  109350.93   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 16 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    16       109350.9300      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  16 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 1.093509299999992e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         109350.9300  109350.9300      3                 -0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.093509299999983e+05\n",
      "Final MIP bound                       : 1.093509299999992e+05\n",
      "  Solution time / primaldual integral :         1s/ 95.299182%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:04, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1913KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2173 rows         5014 cols         6469 elements      5014 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1913KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.40e+01] / [ 1.00e+00,  4.50e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 43, support set: 293\n",
      " Number of orbits: 123, largest orbit: 4\n",
      " Row orbits: 47, row support: 112\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 4991 (of 4991) columns in 717 (of 717) subproblems\n",
      "\n",
      " *** Solution found:  263689.8400   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  261897.4400   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  261773.41   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 12 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    12       261773.4100      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  12 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.617734099999995e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         261773.4100  261773.4100      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.617734099999996e+05\n",
      "Final MIP bound                       : 2.617734099999995e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.555057%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:04, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1915KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2262 rows         5206 cols         6739 elements      5206 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1915KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.90e+01] / [ 1.00e+00,  5.00e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 50, support set: 382\n",
      " Number of orbits: 162, largest orbit: 7\n",
      " Row orbits: 64, row support: 149\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5167 (of 5167) columns in 728 (of 728) subproblems\n",
      "\n",
      " *** Solution found:  296605.3400   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  293916.8000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  293643.74   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 21 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    21       293643.7400      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  21 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.936437399999999e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         293643.7400  293643.7400      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.936437400000034e+05\n",
      "Final MIP bound                       : 2.936437400000001e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.666514%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:04, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1918KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2177 rows         5034 cols         6475 elements      5034 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1918KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  2.50e+01] / [ 1.00e+00,  2.60e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 62, support set: 440\n",
      " Number of orbits: 183, largest orbit: 5\n",
      " Row orbits: 72, row support: 171\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5007 (of 5007) columns in 735 (of 735) subproblems\n",
      "\n",
      " *** Solution found:  171777.4800   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  171080.2100   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  170997.17   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 14 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    14       170997.1700      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  14 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 1.709971699999989e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         170997.1700  170997.1700      3                  0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.709971699999998e+05\n",
      "Final MIP bound                       : 1.709971699999991e+05\n",
      "  Solution time / primaldual integral :         1s/ 93.983693%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:05, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1920KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2237 rows         5131 cols         6641 elements      5131 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1920KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.70e+01] / [ 1.00e+00,  4.80e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 55, support set: 395\n",
      " Number of orbits: 172, largest orbit: 4\n",
      " Row orbits: 66, row support: 151\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5108 (of 5108) columns in 726 (of 726) subproblems\n",
      "\n",
      " *** Solution found:  278160.5900   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  276959.3400   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  276701.28   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 11 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    11       276701.2800      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  11 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.767012799999994e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         276701.2800  276701.2800      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.767012800000019e+05\n",
      "Final MIP bound                       : 2.767012799999995e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.977632%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:05, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1922KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2135 rows         4935 cols         6351 elements      4935 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1922KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.20e+01] / [ 1.00e+00,  3.30e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 48, support set: 303\n",
      " Number of orbits: 125, largest orbit: 9\n",
      " Row orbits: 49, row support: 117\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 4902 (of 4902) columns in 718 (of 718) subproblems\n",
      "\n",
      " *** Solution found:  204488.8900   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  203006.4400   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  202776.36   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 17 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    17       202776.3600      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  17 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.027763599999991e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         202776.3600  202776.3600      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.027763599999998e+05\n",
      "Final MIP bound                       : 2.027763599999992e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.388855%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:06, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1925KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2279 rows         5245 cols         6772 elements      5245 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1925KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.90e+01] / [ 1.00e+00,  2.00e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 34, support set: 240\n",
      " Number of orbits: 103, largest orbit: 4\n",
      " Row orbits: 41, row support: 95\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5224 (of 5224) columns in 751 (of 751) subproblems\n",
      "\n",
      " *** Solution found:  132064.0700   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  131568.8200   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  131505.78   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 10 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    10       131505.7800      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  10 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.315057799999995e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         131505.7800  131505.7800      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.315057799999987e+05\n",
      "Final MIP bound                       : 1.315057799999995e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.740083%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:06, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1927KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2237 rows         5159 cols         6657 elements      5159 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1927KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.10e+01] / [ 1.00e+00,  4.20e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 59, support set: 392\n",
      " Number of orbits: 157, largest orbit: 7\n",
      " Row orbits: 62, row support: 152\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5132 (of 5132) columns in 738 (of 738) subproblems\n",
      "\n",
      " *** Solution found:  242284.6000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  240855.2600   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  240634.20   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 14 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    14       240634.2000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  14 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.406341999999993e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         240634.2000  240634.2000      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.406342000000000e+05\n",
      "Final MIP bound                       : 2.406341999999995e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.606104%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:06, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1929KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2323 rows         5364 cols         6918 elements      5364 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1929KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.01e+00] / [ 1.00e+00,  5.01e+00]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 49, support set: 344\n",
      " Number of orbits: 142, largest orbit: 5\n",
      " Row orbits: 55, row support: 132\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5335 (of 5335) columns in 768 (of 768) subproblems\n",
      "\n",
      " *** Solution found:  54837.05000   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  54654.68000   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  54637.610   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 14 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    14       54637.61000      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  14 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 5.463761000000002e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         54637.61000  54637.61000      3                 -0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 5.463760999999985e+04\n",
      "Final MIP bound                       : 5.463761000000002e+04\n",
      "  Solution time / primaldual integral :         1s/ 95.094874%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:07, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1932KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2153 rows         4955 cols         6407 elements      4955 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1932KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  5.00e+01] / [ 1.00e+00,  5.10e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 53, support set: 336\n",
      " Number of orbits: 130, largest orbit: 6\n",
      " Row orbits: 51, row support: 130\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 4930 (of 4930) columns in 700 (of 700) subproblems\n",
      "\n",
      " *** Solution found:  289008.7500   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  287838.5200   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  287597.47   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       287597.4700      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.875974700000003e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         287597.4700  287597.4700      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.875974700000031e+05\n",
      "Final MIP bound                       : 2.875974700000003e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.997873%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:07, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1934KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2190 rows         5073 cols         6526 elements      5073 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1934KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.10e+01] / [ 1.00e+00,  3.20e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 50, support set: 352\n",
      " Number of orbits: 140, largest orbit: 6\n",
      " Row orbits: 54, row support: 135\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5050 (of 5050) columns in 736 (of 736) subproblems\n",
      "\n",
      " *** Solution found:  201340.6700   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  199994.2500   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  199858.20   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 12 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    12       199858.2000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  12 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.998581999999990e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         199858.2000  199858.2000      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.998581999999996e+05\n",
      "Final MIP bound                       : 1.998581999999991e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.924074%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:07, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1936KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2107 rows         4883 cols         6258 elements      4883 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 1 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1936KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.01e+00] / [ 1.00e+00,  5.01e+00]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 59, support set: 364\n",
      " Number of orbits: 145, largest orbit: 9\n",
      " Row orbits: 56, row support: 138\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 4860 (of 4860) columns in 731 (of 731) subproblems\n",
      "\n",
      " *** Solution found:  56296.80000   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  56135.47000   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  56130.440   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 12 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    12       56130.44000      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  12 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 5.613043999999992e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         56130.44000  56130.44000      3                 -0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 5.613043999999974e+04\n",
      "Final MIP bound                       : 5.613043999999992e+04\n",
      "  Solution time / primaldual integral :         1s/ 94.429184%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:08, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1939KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2273 rows         5216 cols         6756 elements      5216 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1939KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.10e+01] / [ 1.00e+00,  3.20e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 35, support set: 237\n",
      " Number of orbits: 101, largest orbit: 6\n",
      " Row orbits: 40, row support: 93\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5181 (of 5181) columns in 732 (of 732) subproblems\n",
      "\n",
      " *** Solution found:  198682.7500   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  197087.2500   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  196899.18   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 17 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    17       196899.1800      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  17 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.968991799999986e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         196899.1800  196899.1800      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.968991799999993e+05\n",
      "Final MIP bound                       : 1.968991799999988e+05\n",
      "  Solution time / primaldual integral :         0s/ 95.357790%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:08, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1941KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2168 rows         5008 cols         6446 elements      5008 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1941KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.20e+01] / [ 1.00e+00,  3.30e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 45, support set: 309\n",
      " Number of orbits: 126, largest orbit: 6\n",
      " Row orbits: 49, row support: 119\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 4985 (of 4985) columns in 729 (of 729) subproblems\n",
      "\n",
      " *** Solution found:  204977.0500   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  204026.7600   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  203882.71   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 11 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    11       203882.7100      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  11 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 2.038827099999996e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         203882.7100  203882.7100      3                  0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.038827100000004e+05\n",
      "Final MIP bound                       : 2.038827099999998e+05\n",
      "  Solution time / primaldual integral :         1s/ 93.579219%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:09, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1943KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2199 rows         5085 cols         6534 elements      5085 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1943KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.80e+01] / [ 1.00e+00,  1.90e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 62, support set: 449\n",
      " Number of orbits: 197, largest orbit: 9\n",
      " Row orbits: 78, row support: 175\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5060 (of 5060) columns in 749 (of 749) subproblems\n",
      "\n",
      " *** Solution found:  129418.2800   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  128717.9100   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  128608.83   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 12 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    12       128608.8300      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  12 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.286088299999995e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         128608.8300  128608.8300      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.286088299999987e+05\n",
      "Final MIP bound                       : 1.286088299999995e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.766803%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:09, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1946KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2147 rows         4965 cols         6392 elements      4965 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1945KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  9.01e+00] / [ 1.00e+00,  1.00e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 42, support set: 269\n",
      " Number of orbits: 111, largest orbit: 9\n",
      " Row orbits: 43, row support: 102\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 4938 (of 4938) columns in 719 (of 719) subproblems\n",
      "\n",
      " *** Solution found:  83597.98000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  83134.51000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  83089.450   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       83089.45000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 8.308945000000016e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         83089.45000  83089.45000      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 8.308944999999917e+04\n",
      "Final MIP bound                       : 8.308945000000016e+04\n",
      "  Solution time / primaldual integral :         0s/ 93.578266%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:10, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1948KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2229 rows         5137 cols         6631 elements      5137 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1948KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.10e+01] / [ 1.00e+00,  4.20e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 44, support set: 321\n",
      " Number of orbits: 135, largest orbit: 7\n",
      " Row orbits: 54, row support: 126\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5100 (of 5100) columns in 734 (of 734) subproblems\n",
      "\n",
      " *** Solution found:  254671.4500   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  252739.9900   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  252483.92   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 19 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    19       252483.9200      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  19 simplex iterations in 0.02 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.524839199999997e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         252483.9200  252483.9200      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.524839200000007e+05\n",
      "Final MIP bound                       : 2.524839199999998e+05\n",
      "  Solution time / primaldual integral :         0s/ 90.570610%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:10, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1950KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2184 rows         5037 cols         6494 elements      5037 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1950KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.30e+01] / [ 1.00e+00,  4.40e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 58, support set: 367\n",
      " Number of orbits: 145, largest orbit: 10\n",
      " Row orbits: 56, row support: 139\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5010 (of 5010) columns in 726 (of 726) subproblems\n",
      "\n",
      " *** Solution found:  264004.3300   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  262251.9300   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  262007.87   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       262007.8700      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.620078699999995e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         262007.8700  262007.8700      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.620078700000001e+05\n",
      "Final MIP bound                       : 2.620078699999996e+05\n",
      "  Solution time / primaldual integral :         0s/ 95.392542%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:10, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1952KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2177 rows         5022 cols         6467 elements      5022 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1952KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.20e+01] / [ 1.00e+00,  1.30e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 60, support set: 414\n",
      " Number of orbits: 173, largest orbit: 8\n",
      " Row orbits: 67, row support: 159\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 4998 (of 4998) columns in 731 (of 731) subproblems\n",
      "\n",
      " *** Solution found:  97489.06000   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  96913.61000   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  96853.550   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       96853.55000      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 9.685354999999961e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         96853.55000  96853.55000      3                 -0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 9.685354999999859e+04\n",
      "Final MIP bound                       : 9.685354999999961e+04\n",
      "  Solution time / primaldual integral :         1s/ 94.493452%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:11, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1955KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2165 rows         4994 cols         6438 elements      4994 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1955KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.10e+01] / [ 1.00e+00,  3.20e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 55, support set: 347\n",
      " Number of orbits: 133, largest orbit: 8\n",
      " Row orbits: 52, row support: 134\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 4975 (of 4975) columns in 720 (of 720) subproblems\n",
      "\n",
      " *** Solution found:  197231.3300   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  196564.1200   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  196445.08   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 11 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    11       196445.0800      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  11 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.964450799999981e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         196445.0800  196445.0800      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.964450799999985e+05\n",
      "Final MIP bound                       : 1.964450799999982e+05\n",
      "  Solution time / primaldual integral :         0s/ 96.010640%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:11, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1957KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2264 rows         5209 cols         6734 elements      5209 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1957KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.70e+01] / [ 1.00e+00,  4.80e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 48, support set: 342\n",
      " Number of orbits: 142, largest orbit: 6\n",
      " Row orbits: 56, row support: 133\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5179 (of 5179) columns in 738 (of 738) subproblems\n",
      "\n",
      " *** Solution found:  283630.8100   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  282007.4700   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  281688.40   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 15 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    15       281688.4000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  15 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.816883999999994e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         281688.4000  281688.4000      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.816884000000024e+05\n",
      "Final MIP bound                       : 2.816883999999997e+05\n",
      "  Solution time / primaldual integral :         0s/ 95.248723%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:12, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1727KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2256 rows         5187 cols         6705 elements      5187 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1727KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.90e+01] / [ 1.00e+00,  4.00e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 40, support set: 273\n",
      " Number of orbits: 113, largest orbit: 6\n",
      " Row orbits: 45, row support: 107\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5162 (of 5162) columns in 737 (of 737) subproblems\n",
      "\n",
      " *** Solution found:  230601.0800   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  229282.7500   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  229138.71   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       229138.7100      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.291387099999998e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         229138.7100  229138.7100      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.291387100000007e+05\n",
      "Final MIP bound                       : 2.291387099999998e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.768262%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:12, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1730KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2279 rows         5256 cols         6776 elements      5256 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1730KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  3.60e+01] / [ 1.00e+00,  3.70e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 56, support set: 404\n",
      " Number of orbits: 174, largest orbit: 5\n",
      " Row orbits: 68, row support: 156\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5227 (of 5227) columns in 758 (of 758) subproblems\n",
      "\n",
      " *** Solution found:  223035.1900   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  221924.8900   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  221732.83   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 14 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    14       221732.8300      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  14 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.217328299999993e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         221732.8300  221732.8300      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.217328300000001e+05\n",
      "Final MIP bound                       : 2.217328299999994e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.865374%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:12, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1732KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2247 rows         5173 cols         6691 elements      5173 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1732KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.90e+01] / [ 1.00e+00,  2.00e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 55, support set: 354\n",
      " Number of orbits: 142, largest orbit: 7\n",
      " Row orbits: 55, row support: 135\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5144 (of 5144) columns in 728 (of 728) subproblems\n",
      "\n",
      " *** Solution found:  131703.8300   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  130992.4700   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  130890.41   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 17 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    17       130890.4100      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  17 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 1.308904099999992e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         130890.4100  130890.4100      3                 -0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.308904099999982e+05\n",
      "Final MIP bound                       : 1.308904099999992e+05\n",
      "  Solution time / primaldual integral :         1s/ 94.592963%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:13, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1734KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2250 rows         5183 cols         6698 elements      5183 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1734KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.20e+01] / [ 1.00e+00,  1.30e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 52, support set: 380\n",
      " Number of orbits: 165, largest orbit: 7\n",
      " Row orbits: 66, row support: 150\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5158 (of 5158) columns in 734 (of 734) subproblems\n",
      "\n",
      " *** Solution found:  98523.80000   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  98086.46000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  98048.410   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 12 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.01s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    12       98048.41000      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  12 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 9.804840999999979e+04\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         98048.41000  98048.41000      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 9.804840999999887e+04\n",
      "Final MIP bound                       : 9.804840999999979e+04\n",
      "  Solution time / primaldual integral :         0s/ 94.194515%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:13, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1737KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2236 rows         5149 cols         6652 elements      5149 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1737KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  2.70e+01] / [ 1.00e+00,  2.80e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 44, support set: 312\n",
      " Number of orbits: 130, largest orbit: 4\n",
      " Row orbits: 51, row support: 122\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5128 (of 5128) columns in 732 (of 732) subproblems\n",
      "\n",
      " *** Solution found:  178849.2500   Time:   1    Heuristic: T ***\n",
      " *** Solution found:  177768.8600   Time:   1    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   1s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  177674.82   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 10 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    10       177674.8200      D      0     0        .000000     1\n",
      "Dual solved problem\n",
      "  10 simplex iterations in 0.01 seconds at time 1\n",
      "\n",
      "Final objective                       : 1.776748199999987e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         177674.8200  177674.8200      3                  0.00%       0      1\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.776748199999997e+05\n",
      "Final MIP bound                       : 1.776748199999988e+05\n",
      "  Solution time / primaldual integral :         1s/ 95.347156%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:14, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1739KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2182 rows         5024 cols         6503 elements      5024 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1739KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  2.80e+01] / [ 1.00e+00,  2.90e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 56, support set: 350\n",
      " Number of orbits: 128, largest orbit: 7\n",
      " Row orbits: 50, row support: 135\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 4993 (of 4993) columns in 702 (of 702) subproblems\n",
      "\n",
      " *** Solution found:  180106.7200   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  178890.3000   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  178669.21   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 16 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    16       178669.2100      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  16 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.786692099999988e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         178669.2100  178669.2100      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.786692099999998e+05\n",
      "Final MIP bound                       : 1.786692099999989e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.758300%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:14, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1741KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2153 rows         4974 cols         6394 elements      4974 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 19MB, 1741KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  4.90e+01] / [ 1.00e+00,  5.00e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 52, support set: 310\n",
      " Number of orbits: 121, largest orbit: 6\n",
      " Row orbits: 47, row support: 119\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 4948 (of 4948) columns in 732 (of 732) subproblems\n",
      "\n",
      " *** Solution found:  299046.8200   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  297103.4300   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  296928.39   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       296928.3900      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 2.969283899999995e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         296928.3900  296928.3900      3                  0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 2.969283900000039e+05\n",
      "Final MIP bound                       : 2.969283899999997e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.902270%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n",
      "FICO Xpress v8.14.8, Hyper, solve started 15:17:15, Nov 5, 2024\n",
      "Heap usage: 7947KB (peak 7947KB, 1744KB system)\n",
      "Minimizing MILP noname using up to 8 threads and up to 31GB memory, with these control settings:\n",
      "OUTPUTLOG = 1\n",
      "MIPRELSTOP = 1.e-10\n",
      "Original problem has:\n",
      "      8736 rows        17472 cols        26206 elements     17472 globals\n",
      "Presolved problem has:\n",
      "      2175 rows         5035 cols         6476 elements      5035 globals\n",
      "LP relaxation tightened\n",
      "Presolve finished in 0 seconds\n",
      "Heap usage: 10MB (peak 17MB, 1744KB system)\n",
      "\n",
      "Coefficient range                    original                 solved        \n",
      "  Coefficients   [min,max] : [ 1.00e+00,  1.00e+00] / [ 1.00e+00,  1.00e+00]\n",
      "  RHS and bounds [min,max] : [ 1.00e+00,  9.00e+00] / [ 1.00e+00,  9.00e+00]\n",
      "  Objective      [min,max] : [ 1.00e+00,  1.90e+01] / [ 1.00e+00,  2.00e+01]\n",
      "Autoscaling applied standard scaling\n",
      "\n",
      "Symmetric problem: generators: 47, support set: 297\n",
      " Number of orbits: 121, largest orbit: 6\n",
      " Row orbits: 47, row support: 114\n",
      "Will try to keep branch and bound tree memory usage below 24.4GB\n",
      "Fixed 5008 (of 5008) columns in 733 (of 733) subproblems\n",
      "\n",
      " *** Solution found:  135445.6700   Time:   0    Heuristic: T ***\n",
      " *** Solution found:  134791.3400   Time:   0    Heuristic: e ***\n",
      "Starting concurrent solve with dual (1 thread) and barrier (7 threads)\n",
      "\n",
      "              Concurrent-Solve,   0s\n",
      "            Dual                      Barrier      \n",
      "    objective   dual inf                           \n",
      " D  134716.29   .0000000 |                         \n",
      "------- optimal -------- | ----- interrupted ------\n",
      "Concurrent statistics:\n",
      "      Dual: 13 simplex iterations, 0.00s\n",
      "   Barrier: 0 barrier and 0 simplex iterations, 0.00s\n",
      "            Barrier used 7 threads 4 cores, L1\\L2 cache: 32K\\8192K\n",
      "            Barrier used AVX support\n",
      "Optimal solution found\n",
      " \n",
      "   Its         Obj Value      S   Ninf  Nneg   Sum Dual Inf  Time\n",
      "    13       134716.2900      D      0     0        .000000     0\n",
      "Dual solved problem\n",
      "  13 simplex iterations in 0.01 seconds at time 0\n",
      "\n",
      "Final objective                       : 1.347162899999990e+05\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max dual violation        (abs/rel) :       0.0 /       0.0\n",
      "  Max complementarity viol. (abs/rel) :       0.0 /       0.0\n",
      "\n",
      "Starting root cutting & heuristics\n",
      " \n",
      " Its Type    BestSoln    BestBound   Sols    Add    Del     Gap     GInf   Time\n",
      "a         134716.2900  134716.2900      3                 -0.00%       0      0\n",
      " *** Search completed ***\n",
      "Uncrunching matrix\n",
      "Final MIP objective                   : 1.347162899999986e+05\n",
      "Final MIP bound                       : 1.347162899999990e+05\n",
      "  Solution time / primaldual integral :         0s/ 94.685510%\n",
      "  Number of solutions found / nodes   :         3 /         1\n",
      "  Max primal violation      (abs/rel) :       0.0 /       0.0\n",
      "  Max integer violation     (abs    ) :       0.0\n",
      "\n"
     ]
    }
   ],
   "source": [
    "ON_optimization = [optimization_problem(ON_random[i][:,0],ON_random[i][:,1],d[i]) for i in range(N)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in range(len(ON_original)):\n",
    "    assert np.all(ON_original[i]==ON_optimization[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "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": "3.9.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}