biogas_location.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "0is6zsDH2sUE"
   },
   "source": [
    "# Big project\n",
    "\n",
    "## Submission\n",
    "\n",
    "Submit solutions to https://forms.office.com/e/WexY7YraJb.\n",
    "\n",
    "1.   Upload code in .ipynb file\n",
    "2.   Upload a csv containing three columns: \n",
    "*    \"ID\": the ID of the instance (1, 2, 3, ...)\n",
    "*    \"OBJ\": the objective function value obtained\n",
    "*    \"TIME\": the execution time in seconds.\n",
    "\n",
    "## Evaluation\n",
    "\n",
    "1.   Gap w.r.t. optimal solutions\n",
    "2.   Runtimes. Must be under 10 minutes for every instance[\" Execution times will be re-examined on a random basis.\n",
    "\n",
    "## Deadline\n",
    "\n",
    "12/01/2022 23:59 CET\n",
    "\n",
    "## Other\n",
    "\n",
    "*   4 lab points just if you deliver something that works\n",
    "*   10 points based on the quality of method\n",
    "*   NO pre-coded libraries, \n",
    "*   NO genetic algorithms \n",
    "*   NO neural networks\n",
    "*   groups of max 3 students\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "UdlvHj_vueO5"
   },
   "source": [
    "## Biogas plants location\n",
    "\n",
    "An association of $n$ farmers wants to open $p$ plants to produce energy from biogas. \n",
    "Each plant will be opened at a farm of a member of the association and will be powered with corn chopping purchased from the farm itself or from other neighboring farms.\n",
    "\n",
    "Each farm $i$ can provide at most $c_i$ tons of corn chopping, with a percentage of dry matter $a_i$. As you may know, dry matter is the key component of corn chopping used for biogas production. In order to maintain the quality of produced energy, each plant must burn a mixture of corn chopping with a percentage of dry matter between $k_{min}$ and $k_{max}$. \n",
    "\n",
    "At most one plant can be located in each farm, and every farm can sell its corn chopping to one and only one plant.\n",
    "\n",
    "Each farm $i$ is located at coordinates $x_i$ and $y_i$, representing respectively its latitude and longitude, and the cost of moving corn chopping from a farm $i$ to a farm $j$ is proportional to the euclidean distance between the two farms (it does not depend on the actual quantity moved, since the trucks used for this transportations are sufficiently big). \n",
    "\n",
    "Under such conditions, every plant produces $Q$ kWh of energy per ton of corn chopping burned. The energy produced by each plant will be fed into the national electricity system, at a unitary price of $b$ (€/kWh). Moreover, due to state regulations, each plant must not produce more than $M$ kWh of energy.\n",
    "\n",
    "You must locate $p$ plants among the available farms and assign the farms that will supply each plant, with the goal of maximizing the total revenues of the association."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "hnxGk0C12oFZ"
   },
   "source": [
    "### Sets\n",
    "*   $I$ = set of farms\n",
    "\n",
    "### Parameters\n",
    "*   $n$ = number of farms   \n",
    "*   $p$ = number of plants to locate\n",
    "*   $b$ = revenue per unit of energy (€/kWh)\n",
    "*   $M$ = max energy production (kWh)\n",
    "*   $Q$ = energy produced by a ton of corn chopping (kWh/t)\n",
    "*   $k_{min} (k_{max})$ = min (max) percentage of dry matter for fermentation\n",
    "*   $a_i$ = percentage of dry matter in chopping from farm $i \\in I$\n",
    "*   $c_i$ = tons of corn chopping available for each $i \\in I$ (t)\n",
    "*   $x_i, y_i$ = coordinates of farm $i \\in I$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "pycharm": {
     "is_executing": true
    }
   },
   "outputs": [],
   "source": [
    "import json\n",
    "\n",
    "# Reads a .json instance and returns it in a dictionary\n",
    "def load_instance(filename):\n",
    "  with open(filename, 'r') as f:\n",
    "    data = json.load(f)\n",
    "  return data\n",
    "\n",
    "# Reads a .txt result and returns it\n",
    "def load_result(filename):\n",
    "  with open(filename, 'r') as f:\n",
    "      result = f.read()\n",
    "  return float(result)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "_KMiMx9LIpfI",
    "outputId": "3a0e86b3-6476-4e9d-e51b-0983b0445875"
   },
   "outputs": [],
   "source": [
    "import mip\n",
    "import math\n",
    "import numpy as np\n",
    "\n",
    "def fast_distance_matrix(x):\n",
    "    x = np.array(x)\n",
    "    #\n",
    "    # Inspired by: \n",
    "    # https://github.com/eth-cscs/PythonHPC/blob/master/numpy/03-euclidean-distance-matrix-numpy.ipynb\n",
    "    #\n",
    "    # The \"Euclidean Trick\" math: \n",
    "    # https://www.robots.ox.ac.uk/~albanie/notes/Euclidean_distance_trick.pdf\n",
    "    #\n",
    "    xy = x @ x.T\n",
    "    x2 = xy.diagonal()[:,np.newaxis]\n",
    "    return np.abs(x2 + x2.T - 2. * xy)**0.5\n",
    "\n",
    "def solve(instance):\n",
    "  farms = range(instance[\"n\"])        # number of farms\n",
    "  plants = range(instance[\"p\"])       # number of plants\n",
    "  corn_chopping = instance[\"c\"]       # vector of corn chopping production for each farm\n",
    "  dry_matter = instance[\"a\"]           # vector dry matter percentage per each farm\n",
    "  farm_location = instance[\"points\"]  # vector of farm locations (x,y)\n",
    "  plant_efficency = instance[\"Q\"]     # quantity of biogas produced per each plant per each ton of corn chopped\n",
    "  energy_value = instance[\"b\"]        # energy value of biogas (€/kWh)\n",
    "  max_energy = instance[\"M\"]        # energy limit for the whole system (kWh)\n",
    "  min_dry_matter = instance[\"kmin\"]\n",
    "  max_dry_matter = instance[\"kmax\"]\n",
    "\n",
    "  m = mip.Model(name=\"biogas-plant-location\", sense=mip.MAXIMIZE)\n",
    "  \n",
    "  ## Variables ##\n",
    "  # x[i][j] = 1 if plant j is located at farm i\n",
    "  x = [[m.add_var(var_type=mip.BINARY) for j in farms] for i in plants]\n",
    "\n",
    "  # y[i][j] = 1 if farm i is connected to farm j\n",
    "  y = [[m.add_var(var_type=mip.BINARY) for j in farms] for i in farms]\n",
    "\n",
    "  # sold fuel from farm i\n",
    "  sold_fuel = [[m.add_var() for i in farms] for j in farms]\n",
    "\n",
    "\n",
    "  ## Constraints ##\n",
    "  '''\n",
    "  @vector of size p\n",
    "  1 if plant i is built in any location\n",
    "  0 otherwise\n",
    "  '''\n",
    "  is_plant_build = [mip.xsum(x[i][j] for j in farms) for i in plants]\n",
    "\n",
    "  # each plant is connected to exactly one farm\n",
    "  for i in plants:\n",
    "    m += is_plant_build[i] == 1\n",
    "\n",
    "  '''\n",
    "  @vector\n",
    "  listing the number of plants build in each farm\n",
    "  '''\n",
    "  plants_in_farm = [mip.xsum(x[i][j] for i in plants) for j in farms]\n",
    "\n",
    "  # each farm has at most one plant\n",
    "  for i in farms:\n",
    "    m += plants_in_farm[i] <= 1\n",
    "\n",
    "\n",
    "  '''\n",
    "  @vector\n",
    "  1 if farm i is connected to any other farm,\n",
    "    the other farm must include a plant!\n",
    "  0 otherwise\n",
    "  '''\n",
    "  farm_farm_connections = [mip.xsum(y[i][j] for j in farms) for i in farms]\n",
    " \n",
    "  # each farm sell to at most one plant\n",
    "  for i in farms:\n",
    "    m += farm_farm_connections[i] <= 1\n",
    "\n",
    "  # if y_ij = 1 then x_kj = 1 for any k in plants\n",
    "  for i in farms:\n",
    "    for j in farms:\n",
    "      m += y[i][j] <= mip.xsum(x[k][j] for k in plants)\n",
    "  \n",
    "  '''\n",
    "  not necessary => https://webeep.polimi.it/mod/forum/discuss.php?d=57341\n",
    "  # farm i sell to a plant j\n",
    "  for i in farms:\n",
    "    m += mip.xsum(y[i][j] for j in farms) == 1\n",
    "  '''\n",
    "\n",
    "  # fuel can be sold only to connected farms\n",
    "  for i in farms:\n",
    "    for j in farms:\n",
    "      m += sold_fuel[i][j] <= y[i][j] * corn_chopping[i]\n",
    "\n",
    "  # fuel constraints\n",
    "  bought_fuel = [mip.xsum(sold_fuel[i][j] for i in farms) for j in farms] \n",
    "  dry_matter_in_bought_fuel = [mip.xsum(sold_fuel[i][j] * dry_matter[i] for i in farms) for j in farms]\n",
    "  for i in farms:\n",
    "    m += dry_matter_in_bought_fuel[i] >= min_dry_matter * bought_fuel[i]\n",
    "    m += dry_matter_in_bought_fuel[i] <= max_dry_matter * bought_fuel[i]\n",
    "\n",
    "  # energy production cannot exceed limit\n",
    "  for i in farms:\n",
    "    m += bought_fuel[i] * plant_efficency <= max_energy\n",
    "      \n",
    "\n",
    "  ## Objective function ##\n",
    "\n",
    "  # sold energy!\n",
    "  earnings = mip.xsum(bought_fuel[i] * plant_efficency * energy_value for i in farms)\n",
    "\n",
    "  # cost of transportation from farm i to plant j\n",
    "  distance = fast_distance_matrix(farm_location)\n",
    "  \n",
    "  transp_cost = mip.xsum( distance[i][j] * y[i][j] for i in range(j, len(farms)) for j in farms)\n",
    "\n",
    "  m.objective = mip.maximize(earnings - transp_cost)\n",
    "\n",
    "  ## Optimization ##\n",
    "\n",
    "  m.verbose = 0\n",
    "  m.emphasis = 1 # FEASIBLE\n",
    "  m.max_seconds = 600\n",
    "  %time m.optimize(max_seconds=600)\n",
    "\n",
    "  ## Output ##\n",
    "\n",
    "  print(\"\\nOptimization status: {}\".format(m.status))\n",
    "  print(\"Optimal solution: {}\".format(m.objective_value))\n",
    "\n",
    "  #plot the plants & farms\n",
    "  plant_location = []\n",
    "  for i in plants:\n",
    "    for j in farms:\n",
    "      if x[i][j].x == 1:\n",
    "        plant_location.append(farm_location[j])\n",
    "        break\n",
    "  \n",
    "  import matplotlib.pyplot as plt\n",
    "  plt.scatter([x[0] for x in farm_location], [x[1] for x in farm_location], color='blue')\n",
    "  plt.scatter([x[0] for x in plant_location], [x[1] for x in plant_location], color='red')\n",
    "  \n",
    "  plt.xlim(0, 100)\n",
    "  plt.show()\n",
    "\n",
    "  return m.objective_value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def test(n):\n",
    "    inst = load_instance('instances/instance_'+str(n)+'.json')\n",
    "    res = load_result(\"results/instance_\"+str(n)+\".txt\")\n",
    "    obj = solve(inst)\n",
    "    print(res)\n",
    "\n",
    "    print(\"goodness: \" + str((obj - res) * 100 / res))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 43.2 ms, sys: 4.63 ms, total: 47.9 ms\n",
      "Wall time: 48 ms\n",
      "\n",
      "Optimization status: OptimizationStatus.OPTIMAL\n",
      "Optimal solution: 1324617.2915704667\n"
     ]
    },
    {
     "data": {
      "image/png": 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bETWwzpYZFcpbUKrrwgci2w5Nz1Hd1EUaMr8ojpMBAGKJj59glS0zKnTjM2PlPytoJMkfPqgbnxmrLTMq4jQZACDWiBpYI3wqrLwFpZLMef+wU2QkSbkLyhQ+FW732QAAsUfUwBq7llQpO3zgG/9Rp8ioV7heu5ZUtetcAID2QdTAGif+2eDoOgBAYiFqYI1LrsxydB0AILEQNbBG/0kjdMidoxa52tzfIpcOunPVf9KIdp4MANAeiBpYw53mVt3URZJ0Xtic+bp+6kLuVwMAliJqYJUh84u09ZHXFXD3itre4M7R1kde5z41AGAxlzHGxHuIixUKheT1ehUMBuXxeOI9Djog7igMAB1PrF+/uaMwrOROc+u6spviPQYAoB3x8RMAALACUQMAAKxA1AAAACsQNQAAwApEDQAAsAJRAwAArEDUAAAAKxA1AADACkQNAACwAlEDAACsQNQAAAArEDUAAMAKMY+aefPmyeVyqaysLLLt5MmTKikpUY8ePdS1a1eNGTNGjY2NsR4FAABYLKZRs23bNv3pT3/SNddcE7V9ypQpevvtt7V69Wpt3LhRhw4dUlFRUSxHAQAAlotZ1Bw7dkzFxcV68cUXdemll0a2B4NBvfTSS1qwYIF+/OMfa+DAgVq2bJn+/ve/a8uWLbEaBwAAWC5mUVNSUqLbbrtNhYWFUdtra2t1+vTpqO19+vRRXl6eqqur2zxWc3OzQqFQ1AMAAOBsqbE46KpVq/T+++9r27Zt5+0LBAJKS0tTZmZm1Hafz6dAINDm8crLy/X444/HYlQAAGAJx9+pqa+vV2lpqVasWKHOnTs7csxZs2YpGAxGHvX19Y4cFwAA2MPxqKmtrdXhw4d1/fXXKzU1Vampqdq4caMWL16s1NRU+Xw+nTp1Sk1NTVHf19jYKL/f3+Yx09PT5fF4oh4AAABnc/zjp5EjR2rXrl1R2+6991716dNHjz76qHJzc9WpUydVVlZqzJgxkqQ9e/aorq5OBQUFTo8DAACShONR061bN/Xr1y9qW5cuXdSjR4/I9gkTJmjq1Knq3r27PB6PHnroIRUUFGjIkCFOjwMAAJJETH5R+Lv84Q9/UEpKisaMGaPm5maNGjVKS5YsiccoAADAEi5jjIn3EBcrFArJ6/UqGAzy+zUAACSIWL9+87efAACAFYgaAABgBaIGAABYgagBAABWIGoAAIAViBoAAGAFogYAAFiBqAEAAFYgagAAgBWIGgAAYAWiBgAAWIGoAQAAViBqAACAFYgaAABgBaIGAABYgagBAABWIGoAAIAViBoAAGAFogYAAFiBqAEAAFYgagAAgBWIGgAAYAWiBgAAWIGoAQAAViBqAACAFYgaAABgBaIGAABYgagBAABWIGoAAIAViBoAAGAFogYAAFiBqAEAAFYgagAAgBWIGgAAYAWiBgAAWIGoAQAAViBqAACAFYgaAABgBaIGAABYgagBAABWIGoAAIAViBoAAGAFogYAAFiBqAEAAFYgagAAgBWIGgAAYAWiBgAAWIGoAQAAViBqAACAFYgaAABgBaIGAABYgagBAABWIGoAAIAViBoAAGAFogYAAFiBqAEAAFYgagAAgBWIGgAAYAWiBgAAWIGoAQAAViBqAACAFYgaAABgBaIGAABYgagBAABWIGoAAIAViBoAAGAFogYAAFjB8agpLy/XDTfcoG7duqlnz54aPXq09uzZE7Xm5MmTKikpUY8ePdS1a1eNGTNGjY2NTo8CAACSiONRs3HjRpWUlGjLli1av369Tp8+rZ/85Cc6fvx4ZM2UKVP09ttva/Xq1dq4caMOHTqkoqIip0cBAABJxGWMMbH8Af/617/Us2dPbdy4UT/84Q8VDAb1ve99TytXrtTYsWMlSZ988on69u2r6upqDRky5DuPGQqF5PV6FQwG5fF4Yjk+AABwSKxfv2P+OzXBYFCS1L17d0lSbW2tTp8+rcLCwsiaPn36KC8vT9XV1W0eo7m5WaFQKOoBAABwtphGTUtLi8rKyjRs2DD169dPkhQIBJSWlqbMzMyotT6fT4FAoM3jlJeXy+v1Rh65ubmxHBsAACSgmEZNSUmJdu/erVWrVv1Px5k1a5aCwWDkUV9f79CEAADAFqmxOvDkyZO1du1abdq0STk5OZHtfr9fp06dUlNTU9S7NY2NjfL7/W0eKz09Xenp6bEaFQAAWMDxd2qMMZo8ebLWrFmjDRs2KD8/P2r/wIED1alTJ1VWVka27dmzR3V1dSooKHB6HAAAkCQcf6empKREK1eu1Jtvvqlu3bpFfk/G6/UqIyNDXq9XEyZM0NSpU9W9e3d5PB499NBDKigouKArnwAAANri+CXdLperze3Lli3TPffcI6n15nvTpk3Tq6++qubmZo0aNUpLliz5xo+fzsUl3QAAJJ5Yv37H/D41sUDUAACQeBL+PjUAAADtgagBAABWIGoAAIAViBoAAGAFogYAAFghZncUBmIpHJaqqqSGBikrSxoxQnK74z0VACCeiBoknIoKqbRUOnDg6205OdKiRVJRUfzmAgDEFx8/IaFUVEhjx0YHjSQdPNi6vaIiPnMBAOKPqEHCCIdb36Fp63aRZ7aVlbWuAwAkH6IGCaOq6vx3aM5mjFRf37oOAJB8iBokjIYGZ9cBAOxC1CBhZGU5uw4AYBeiBgljxIjWq5y+4Q/By+WScnNb1wEAkg9Rg4Thdrdeti2dHzZnvl64kPvVAECyImqQUIqKpNdfl3r1it6ek9O6nfvUAEDy4uZ7SDhFRdIdd3BHYQBANKIGCcntlm66Kd5TAAA6Ej5+AgAAViBqAACAFYgaAABgBaIGAABYgV8UBgDERPhUWLuWVOnEPxt0yZVZ6j9phNxpXKaI2CFqAACO2zKjQnkLSnVd+Ou/Qntoeo7qpi7SkPncUAqxwcdPAABHbZlRoRufGSv/WUEjSf7wQd34zFhtmVERp8lgO6IGAOCY8Kmw8haUSjLnvcCkyEiScheUKXwq3O6zwX5EDQDAMbuWVCk7fOAbX1xSZNQrXK9dS6radS4kB6IGAOCYE/9scHQdcDGIGgCAYy65MsvRdcDFIGoAAI7pP2mEDrlz1CJXm/tb5NJBd676TxrRzpMhGRA1AADHuNPcqpu6SJLOC5szX9dPXcj9ahATRA0AwFFD5hdp6yOvK+DuFbW9wZ2jrY+8zn1qEDMuY4yJ9xAXKxQKyev1KhgMyuPxxHscAEAbuKMwzhXr12/uKAwAiAl3mlvXld0U7zGQRPj4CQAAWIGoAQAAViBqAACAFYgaAABgBaIGAABYgagBAABWIGoAAIAViBoAAGAFogYAAFghIe8ofOYvO4RCoThPAgAALtSZ1+1Y/YWmhIyaL774QpKUm5sb50kAAMDF+uKLL+T1eh0/bkJGTffu3SVJdXV1MXlScOFCoZByc3NVX1/PHxeNM85Fx8L56Dg4Fx1HMBhUXl5e5HXcaQkZNSkprb8K5PV6+QfaQXg8Hs5FB8G56Fg4Hx0H56LjOPM67vhxY3JUAACAdkbUAAAAKyRk1KSnp+s3v/mN0tPT4z1K0uNcdByci46F89FxcC46jlifC5eJ1XVVAAAA7Sgh36kBAAA4F1EDAACsQNQAAAArEDUAAMAKCRk1zz33nK644gp17txZgwcP1tatW+M9kvXKy8t1ww03qFu3burZs6dGjx6tPXv2RK05efKkSkpK1KNHD3Xt2lVjxoxRY2NjnCZODvPmzZPL5VJZWVlkG+ehfR08eFB33323evTooYyMDPXv31/bt2+P7DfGaM6cOcrKylJGRoYKCwu1b9++OE5sp3A4rNmzZys/P18ZGRm68sor9cQTT0T9jSHORWxs2rRJt99+u7Kzs+VyufTGG29E7b+Q5/3IkSMqLi6Wx+NRZmamJkyYoGPHjl38MCbBrFq1yqSlpZk///nP5sMPPzT333+/yczMNI2NjfEezWqjRo0yy5YtM7t37zY7d+40t956q8nLyzPHjh2LrHnggQdMbm6uqaysNNu3bzdDhgwxQ4cOjePUdtu6dau54oorzDXXXGNKS0sj2zkP7efIkSPm8ssvN/fcc4+pqakxn332mXn33XfNp59+Glkzb9484/V6zRtvvGE++OAD87Of/czk5+ebL7/8Mo6T22fu3LmmR48eZu3atWb//v1m9erVpmvXrmbRokWRNZyL2PjLX/5iHnvsMVNRUWEkmTVr1kTtv5Dn/eabbzbXXnut2bJli6mqqjI/+MEPzF133XXRsyRc1Nx4442mpKQk8nU4HDbZ2dmmvLw8jlMln8OHDxtJZuPGjcYYY5qamkynTp3M6tWrI2s+/vhjI8lUV1fHa0xrHT161PTu3dusX7/e/N///V8kajgP7evRRx81w4cP/8b9LS0txu/3m2eeeSayrampyaSnp5tXX321PUZMGrfddpu57777orYVFRWZ4uJiYwznor2cGzUX8rx/9NFHRpLZtm1bZM0777xjXC6XOXjw4EX9/IT6+OnUqVOqra1VYWFhZFtKSooKCwtVXV0dx8mSTzAYlPT1Hxetra3V6dOno85Nnz59lJeXx7mJgZKSEt12221Rz7fEeWhvb731lgYNGqQ777xTPXv21IABA/Tiiy9G9u/fv1+BQCDqfHi9Xg0ePJjz4bChQ4eqsrJSe/fulSR98MEH2rx5s2655RZJnIt4uZDnvbq6WpmZmRo0aFBkTWFhoVJSUlRTU3NRPy+h/qDlv//9b4XDYfl8vqjtPp9Pn3zySZymSj4tLS0qKyvTsGHD1K9fP0lSIBBQWlqaMjMzo9b6fD4FAoE4TGmvVatW6f3339e2bdvO28d5aF+fffaZnn/+eU2dOlW//vWvtW3bNj388MNKS0vT+PHjI895W/+fxflw1syZMxUKhdSnTx+53W6Fw2HNnTtXxcXFksS5iJMLed4DgYB69uwZtT81NVXdu3e/6HOTUFGDjqGkpES7d+/W5s2b4z1K0qmvr1dpaanWr1+vzp07x3ucpNfS0qJBgwbpqaeekiQNGDBAu3fv1tKlSzV+/Pg4T5dcXnvtNa1YsUIrV67U1VdfrZ07d6qsrEzZ2dmciySSUB8/XXbZZXK73eddydHY2Ci/3x+nqZLL5MmTtXbtWr333nvKycmJbPf7/Tp16pSampqi1nNunFVbW6vDhw/r+uuvV2pqqlJTU7Vx40YtXrxYqamp8vl8nId2lJWVpauuuipqW9++fVVXVydJkeec/8+KvUceeUQzZ87UuHHj1L9/f/3yl7/UlClTVF5eLolzES8X8rz7/X4dPnw4av9XX32lI0eOXPS5SaioSUtL08CBA1VZWRnZ1tLSosrKShUUFMRxMvsZYzR58mStWbNGGzZsUH5+ftT+gQMHqlOnTlHnZs+ePaqrq+PcOGjkyJHatWuXdu7cGXkMGjRIxcXFkf/NeWg/w4YNO+/WBnv37tXll18uScrPz5ff7486H6FQSDU1NZwPh504cUIpKdEvaW63Wy0tLZI4F/FyIc97QUGBmpqaVFtbG1mzYcMGtbS0aPDgwRf3A/+nX3OOg1WrVpn09HSzfPly89FHH5mJEyeazMxMEwgE4j2a1R588EHj9XrNX//6V9PQ0BB5nDhxIrLmgQceMHl5eWbDhg1m+/btpqCgwBQUFMRx6uRw9tVPxnAe2tPWrVtNamqqmTt3rtm3b59ZsWKFueSSS8wrr7wSWTNv3jyTmZlp3nzzTfOPf/zD3HHHHVxGHAPjx483vXr1ilzSXVFRYS677DIzY8aMyBrORWwcPXrU7Nixw+zYscNIMgsWLDA7duwwn3/+uTHmwp73m2++2QwYMMDU1NSYzZs3m969eyfHJd3GGPPss8+avLw8k5aWZm688UazZcuWeI9kPUltPpYtWxZZ8+WXX5pJkyaZSy+91FxyySXm5z//uWloaIjf0Eni3KjhPLSvt99+2/Tr18+kp6ebPn36mBdeeCFqf0tLi5k9e7bx+XwmPT3djBw50uzZsydO09orFAqZ0tJSk5eXZzp37my+//3vm8cee8w0NzdH1nAuYuO9995r8/Vh/PjxxpgLe96/+OILc9ddd5muXbsaj8dj7r33XnP06NGLnsVlzFm3WwQAAEhQCfU7NQAAAN+EqAEAAFYgagAAgBWIGgAAYAWiBgAAWIGoAQAAViBqAACAFYgaAABgBaIGAABYgagBAABWIGoAAIAViBoAAGCF/wedmXSwjUAHdwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1324477.6736137536\n",
      "goodness: 0.010541359774841356\n",
      "CPU times: user 7.86 ms, sys: 705 µs, total: 8.57 ms\n",
      "Wall time: 8.57 ms\n",
      "\n",
      "Optimization status: OptimizationStatus.OPTIMAL\n",
      "Optimal solution: 385739.65561196243\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "385611.91779212654\n",
      "goodness: 0.03312600413578323\n",
      "Cbc0038I Initial state - 8 integers unsatisfied sum - 2.47618\n",
      "Cbc0038I Pass   1: suminf.    0.00000 (0) obj. 1.09185e+06 iterations 13\n",
      "Cbc0038I Solution found of 1.09185e+06\n",
      "Cbc0038I Relaxing continuous gives 1.12282e+06\n",
      "Cbc0038I Before mini branch and bound, 28 integers at bound fixed and 25 continuous\n",
      "Cbc0038I Full problem 72 rows 65 columns, reduced to 7 rows 6 columns\n",
      "Cbc0038I Mini branch and bound improved solution from 1.12282e+06 to 1.30391e+06 (0.01 seconds)\n",
      "Cbc0038I Freeing continuous variables gives a solution of 1.30391e+06\n",
      "Cbc0038I Round again with cutoff of 1.3076e+06\n",
      "Cbc0038I Reduced cost fixing fixed 1 variables on major pass 2\n",
      "Cbc0038I Pass   2: suminf.    0.94716 (2) obj. 1.3076e+06 iterations 16\n",
      "Cbc0038I Pass   3: suminf.    0.01856 (2) obj. 1.3076e+06 iterations 29\n",
      "Cbc0038I Pass   4: suminf.    0.01856 (2) obj. 1.3076e+06 iterations 11\n",
      "Cbc0038I Pass   5: suminf.    0.01856 (2) obj. 1.3076e+06 iterations 7\n",
      "Cbc0038I Pass   6: suminf.    0.01856 (2) obj. 1.3076e+06 iterations 6\n",
      "Cbc0038I Pass   7: suminf.    0.01856 (2) obj. 1.3076e+06 iterations 12\n",
      "Cbc0038I Pass   8: suminf.    1.55483 (5) obj. 1.3076e+06 iterations 23\n",
      "Cbc0038I Pass   9: suminf.    0.10205 (2) obj. 1.3076e+06 iterations 19\n",
      "Cbc0038I Pass  10: suminf.    0.00000 (0) obj. 1.3076e+06 iterations 11\n",
      "Cbc0038I Solution found of 1.3076e+06\n",
      "Cbc0038I Relaxing continuous gives 1.32462e+06\n",
      "Cbc0038I Before mini branch and bound, 25 integers at bound fixed and 20 continuous\n",
      "Cbc0038I Full problem 72 rows 65 columns, reduced to 10 rows 11 columns\n",
      "Cbc0038I Mini branch and bound did not improve solution (0.01 seconds)\n",
      "Cbc0038I Round again with cutoff of 1.32786e+06\n",
      "Cbc0038I Reduced cost fixing fixed 1 variables on major pass 3\n",
      "Cbc0038I Pass  11: suminf.    0.82568 (2) obj. 1.32786e+06 iterations 0\n",
      "Cbc0038I Pass  12: suminf.    0.12045 (2) obj. 1.32786e+06 iterations 29\n",
      "Cbc0038I Pass  13: suminf.    0.37854 (3) obj. 1.32786e+06 iterations 27\n",
      "Cbc0038I Pass  14: suminf.    0.02141 (2) obj. 1.32786e+06 iterations 21\n",
      "Cbc0038I Pass  15: suminf.    1.11107 (4) obj. 1.32786e+06 iterations 11\n",
      "Cbc0038I Pass  16: suminf.    0.02141 (2) obj. 1.32786e+06 iterations 4\n",
      "Cbc0038I Pass  17: suminf.    0.98418 (10) obj. 1.32786e+06 iterations 27\n",
      "Cbc0038I Pass  18: suminf.    0.49825 (4) obj. 1.32786e+06 iterations 23\n",
      "Cbc0038I Pass  19: suminf.    0.37024 (2) obj. 1.32786e+06 iterations 6\n",
      "Cbc0038I Pass  20: suminf.    0.93360 (2) obj. 1.32786e+06 iterations 12\n",
      "Cbc0038I Pass  21: suminf.    0.93360 (2) obj. 1.32786e+06 iterations 7\n",
      "Cbc0038I Pass  22: suminf.    0.93360 (2) obj. 1.32786e+06 iterations 5\n",
      "Cbc0038I Pass  23: suminf.    0.55787 (2) obj. 1.32786e+06 iterations 23\n",
      "Cbc0038I Pass  24: suminf.    0.49825 (4) obj. 1.32786e+06 iterations 8\n",
      "Cbc0038I Pass  25: suminf.    0.37024 (2) obj. 1.32786e+06 iterations 5\n",
      "Cbc0038I Pass  26: suminf.    0.93360 (2) obj. 1.32786e+06 iterations 7\n",
      "Cbc0038I Pass  27: suminf.    0.93360 (2) obj. 1.32786e+06 iterations 8\n",
      "Cbc0038I Pass  28: suminf.    0.94600 (3) obj. 1.32786e+06 iterations 20\n",
      "Cbc0038I Pass  29: suminf.    0.37024 (2) obj. 1.32786e+06 iterations 8\n",
      "Cbc0038I Pass  30: suminf.    0.93360 (2) obj. 1.32786e+06 iterations 6\n",
      "Cbc0038I Pass  31: suminf.    0.93360 (2) obj. 1.32786e+06 iterations 5\n",
      "Cbc0038I Pass  32: suminf.    0.97180 (5) obj. 1.32786e+06 iterations 7\n",
      "Cbc0038I Pass  33: suminf.    0.93360 (2) obj. 1.32786e+06 iterations 9\n",
      "Cbc0038I Pass  34: suminf.    0.93360 (2) obj. 1.32786e+06 iterations 9\n",
      "Cbc0038I Pass  35: suminf.    0.02179 (2) obj. 1.32786e+06 iterations 31\n",
      "Cbc0038I Pass  36: suminf.    0.02179 (2) obj. 1.32786e+06 iterations 14\n",
      "Cbc0038I Pass  37: suminf.    1.11137 (4) obj. 1.32786e+06 iterations 11\n",
      "Cbc0038I Pass  38: suminf.    0.02179 (2) obj. 1.32786e+06 iterations 19\n",
      "Cbc0038I Pass  39: suminf.    1.56345 (5) obj. 1.32786e+06 iterations 16\n",
      "Cbc0038I Pass  40: suminf.    0.82534 (2) obj. 1.32786e+06 iterations 11\n",
      "Cbc0038I No solution found this major pass\n",
      "Cbc0038I Before mini branch and bound, 11 integers at bound fixed and 9 continuous\n",
      "Cbc0038I Full problem 72 rows 65 columns, reduced to 52 rows 42 columns\n",
      "Cbc0038I Mini branch and bound did not improve solution (0.02 seconds)\n",
      "Cbc0038I After 0.02 seconds - Feasibility pump exiting with objective of 1.32462e+06 - took 0.02 seconds\n",
      "Cbc0012I Integer solution of 1324617.3 found by feasibility pump after 0 iterations and 0 nodes (0.02 seconds)\n",
      "Cbc0038I Full problem 72 rows 65 columns, reduced to 10 rows 11 columns\n",
      "Cbc0031I 4 added rows had average density of 15.75\n",
      "Cbc0013I At root node, 30 cuts changed objective from 1340817.6 to 1303905.4 in 13 passes\n",
      "Cbc0014I Cut generator 0 (Probing) - 4 row cuts average 2.0 elements, 0 column cuts (0 active)  in 0.001 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 1 (Gomory) - 107 row cuts average 43.2 elements, 0 column cuts (0 active)  in 0.001 seconds - new frequency is 1\n",
      "Cbc0014I Cut generator 2 (Knapsack) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 0.001 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 3 (Clique) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 0.000 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 4 (OddWheel) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 0.000 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 5 (MixedIntegerRounding2) - 58 row cuts average 10.0 elements, 0 column cuts (0 active)  in 0.001 seconds - new frequency is 1\n",
      "Cbc0014I Cut generator 6 (FlowCover) - 23 row cuts average 4.5 elements, 0 column cuts (0 active)  in 0.001 seconds - new frequency is 1\n",
      "Cbc0014I Cut generator 7 (TwoMirCuts) - 48 row cuts average 32.5 elements, 0 column cuts (0 active)  in 0.002 seconds - new frequency is -100\n",
      "Cbc0001I Search completed - best objective 1324617.291570467, took 362 iterations and 0 nodes (0.04 seconds)\n",
      "Cbc0035I Maximum depth 0, 5 variables fixed on reduced cost\n",
      "Cbc0038I Initial state - 0 integers unsatisfied sum - 1.11022e-16\n",
      "Cbc0038I Solution found of 385740\n",
      "Cbc0038I Relaxing continuous gives 385740\n",
      "Cbc0038I Before mini branch and bound, 130 integers at bound fixed and 110 continuous\n",
      "Cbc0038I Mini branch and bound did not improve solution (0.00 seconds)\n",
      "Cbc0038I After 0.00 seconds - Feasibility pump exiting with objective of 385740 - took 0.00 seconds\n",
      "Cbc0012I Integer solution of 385739.66 found by feasibility pump after 0 iterations and 0 nodes (0.00 seconds)\n",
      "Cbc0001I Search completed - best objective 385739.6556119624, took 0 iterations and 0 nodes (0.00 seconds)\n",
      "Cbc0035I Maximum depth 0, 0 variables fixed on reduced cost\n",
      "Cbc0038I Initial state - 10 integers unsatisfied sum - 2.57152\n",
      "Cbc0038I Pass   1: suminf.    0.00000 (0) obj. 1.89883e+06 iterations 92\n",
      "Cbc0038I Solution found of 1.89883e+06\n",
      "Cbc0038I Relaxing continuous gives 1.97267e+06\n",
      "Cbc0038I Before mini branch and bound, 510 integers at bound fixed and 387 continuous\n",
      "Cbc0038I Full problem 906 rows 920 columns, reduced to 20 rows 19 columns\n",
      "Cbc0012I Integer solution of 2096270.8 found by rounding after 17 iterations and 3 nodes (0.03 seconds)\n",
      "Cbc0012I Integer solution of 2102667.1 found by rounding after 20 iterations and 5 nodes (0.03 seconds)\n",
      "Cbc0038I Mini branch and bound improved solution from 1.97267e+06 to 2.10267e+06 (0.03 seconds)\n",
      "Cbc0038I Freeing continuous variables gives a solution of 2.10623e+06\n",
      "Cbc0038I Round again with cutoff of 2.13144e+06\n",
      "Cbc0038I Pass   2: suminf.    0.56182 (2) obj. 2.13144e+06 iterations 15\n",
      "Cbc0038I Pass   3: suminf.    0.60865 (2) obj. 2.13144e+06 iterations 18\n",
      "Cbc0038I Pass   4: suminf.    2.24838 (7) obj. 2.13144e+06 iterations 467\n",
      "Cbc0038I Pass   5: suminf.    0.60481 (3) obj. 2.13144e+06 iterations 136\n",
      "Cbc0038I Pass   6: suminf.    0.75540 (2) obj. 2.13144e+06 iterations 19\n",
      "Cbc0038I Pass   7: suminf.    0.28612 (2) obj. 2.13144e+06 iterations 10\n",
      "Cbc0038I Pass   8: suminf.    0.88450 (4) obj. 2.13144e+06 iterations 52\n",
      "Cbc0038I Pass   9: suminf.    0.74935 (4) obj. 2.13144e+06 iterations 23\n",
      "Cbc0038I Pass  10: suminf.    2.28595 (9) obj. 2.13144e+06 iterations 245\n",
      "Cbc0038I Pass  11: suminf.    0.24591 (4) obj. 2.13144e+06 iterations 114\n",
      "Cbc0038I Pass  12: suminf.    0.55274 (3) obj. 2.13144e+06 iterations 29\n",
      "Cbc0038I Pass  13: suminf.    0.02602 (2) obj. 2.13144e+06 iterations 19\n",
      "Cbc0038I Pass  14: suminf.    0.48082 (2) obj. 2.13144e+06 iterations 31\n",
      "Cbc0038I Pass  15: suminf.   11.46284 (26) obj. 2.13144e+06 iterations 272\n",
      "Cbc0038I Pass  16: suminf.    0.86070 (3) obj. 2.13144e+06 iterations 188\n",
      "Cbc0038I Pass  17: suminf.    0.86070 (3) obj. 2.13144e+06 iterations 28\n",
      "Cbc0038I Pass  18: suminf.    1.00000 (3) obj. 2.13144e+06 iterations 42\n",
      "Cbc0038I Pass  19: suminf.    2.88730 (19) obj. 2.13144e+06 iterations 268\n",
      "Cbc0038I Pass  20: suminf.    0.00000 (0) obj. 2.13144e+06 iterations 158\n",
      "Cbc0038I Solution found of 2.13144e+06\n",
      "Cbc0038I Relaxing continuous gives 2.27441e+06\n",
      "Cbc0038I Before mini branch and bound, 401 integers at bound fixed and 306 continuous\n",
      "Cbc0038I Full problem 906 rows 920 columns, reduced to 253 rows 207 columns\n",
      "Cbc0038I Mini branch and bound improved solution from 2.27441e+06 to 2.33472e+06 (0.24 seconds)\n",
      "Cbc0038I Round again with cutoff of 2.33945e+06\n",
      "Cbc0038I Pass  21: suminf.    1.42255 (5) obj. 2.33945e+06 iterations 76\n",
      "Cbc0038I Pass  22: suminf.    1.42180 (5) obj. 2.33945e+06 iterations 15\n",
      "Cbc0038I Pass  23: suminf.    1.58614 (5) obj. 2.33945e+06 iterations 40\n",
      "Cbc0038I Pass  24: suminf.    1.47937 (6) obj. 2.33945e+06 iterations 95\n",
      "Cbc0038I Pass  25: suminf.    1.00000 (3) obj. 2.33945e+06 iterations 164\n",
      "Cbc0038I Pass  26: suminf.    0.98212 (4) obj. 2.33945e+06 iterations 11\n",
      "Cbc0038I Pass  27: suminf.    1.00000 (4) obj. 2.33945e+06 iterations 14\n",
      "Cbc0038I Pass  28: suminf.    2.11456 (9) obj. 2.33945e+06 iterations 365\n",
      "Cbc0038I Pass  29: suminf.    0.91483 (6) obj. 2.33945e+06 iterations 163\n",
      "Cbc0038I Pass  30: suminf.    1.15422 (6) obj. 2.33945e+06 iterations 68\n",
      "Cbc0038I Pass  31: suminf.    0.70934 (6) obj. 2.33945e+06 iterations 44\n",
      "Cbc0038I Pass  32: suminf.    0.50095 (6) obj. 2.33945e+06 iterations 37\n",
      "Cbc0038I Pass  33: suminf.    1.10980 (7) obj. 2.33945e+06 iterations 62\n",
      "Cbc0038I Pass  34: suminf.    0.80836 (6) obj. 2.33945e+06 iterations 25\n",
      "Cbc0038I Pass  35: suminf.    1.15422 (6) obj. 2.33945e+06 iterations 43\n",
      "Cbc0038I Pass  36: suminf.    0.67647 (6) obj. 2.33945e+06 iterations 60\n",
      "Cbc0038I Pass  37: suminf.    0.52852 (5) obj. 2.33945e+06 iterations 17\n",
      "Cbc0038I Pass  38: suminf.    1.00000 (3) obj. 2.33945e+06 iterations 26\n",
      "Cbc0038I Pass  39: suminf.    0.91363 (5) obj. 2.33945e+06 iterations 25\n",
      "Cbc0038I Pass  40: suminf.    0.80836 (6) obj. 2.33945e+06 iterations 11\n",
      "Cbc0038I Pass  41: suminf.    1.15422 (6) obj. 2.33945e+06 iterations 48\n",
      "Cbc0038I Pass  42: suminf.    0.67647 (6) obj. 2.33945e+06 iterations 61\n",
      "Cbc0038I Pass  43: suminf.    0.52852 (5) obj. 2.33945e+06 iterations 18\n",
      "Cbc0038I Pass  44: suminf.    1.00000 (3) obj. 2.33945e+06 iterations 29\n",
      "Cbc0038I Pass  45: suminf.    0.91363 (5) obj. 2.33945e+06 iterations 27\n",
      "Cbc0038I Pass  46: suminf.    0.80836 (6) obj. 2.33945e+06 iterations 11\n",
      "Cbc0038I Pass  47: suminf.    1.15422 (6) obj. 2.33945e+06 iterations 52\n",
      "Cbc0038I Pass  48: suminf.    0.67647 (6) obj. 2.33945e+06 iterations 59\n",
      "Cbc0038I Pass  49: suminf.    0.52852 (5) obj. 2.33945e+06 iterations 17\n",
      "Cbc0038I Pass  50: suminf.    1.00000 (3) obj. 2.33945e+06 iterations 27\n",
      "Cbc0038I No solution found this major pass\n",
      "Cbc0038I Before mini branch and bound, 459 integers at bound fixed and 351 continuous\n",
      "Cbc0038I Full problem 906 rows 920 columns, reduced to 114 rows 99 columns\n",
      "Cbc0038I Mini branch and bound did not improve solution (0.34 seconds)\n",
      "Cbc0038I After 0.34 seconds - Feasibility pump exiting with objective of 2.33472e+06 - took 0.30 seconds\n",
      "Cbc0012I Integer solution of 2334723 found by feasibility pump after 0 iterations and 0 nodes (0.34 seconds)\n",
      "Cbc0038I Full problem 906 rows 920 columns, reduced to 76 rows 71 columns\n",
      "Cbc0031I 15 added rows had average density of 51.066667\n",
      "Cbc0013I At root node, 15 cuts changed objective from 2358337.5 to 2358337.5 in 10 passes\n",
      "Cbc0014I Cut generator 0 (Probing) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 0.024 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 1 (Gomory) - 31 row cuts average 59.4 elements, 0 column cuts (0 active)  in 0.008 seconds - new frequency is 1\n",
      "Cbc0014I Cut generator 2 (Knapsack) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 0.007 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 3 (Clique) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 0.000 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 4 (OddWheel) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 0.001 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 5 (MixedIntegerRounding2) - 135 row cuts average 29.2 elements, 0 column cuts (0 active)  in 0.006 seconds - new frequency is 1\n",
      "Cbc0014I Cut generator 6 (FlowCover) - 41 row cuts average 9.1 elements, 0 column cuts (0 active)  in 0.002 seconds - new frequency is 1\n",
      "Cbc0014I Cut generator 7 (TwoMirCuts) - 53 row cuts average 77.3 elements, 0 column cuts (0 active)  in 0.007 seconds - new frequency is -100\n",
      "Cbc0010I After 0 nodes, 1 on tree, 2334723 best solution, best possible 2358337.5 (0.59 seconds)\n",
      "Cbc0010I After 43 nodes, 28 on tree, 2334723 best solution, best possible 2358337.5 (1.29 seconds)\n",
      "Cbc0004I Integer solution of 2335846.8 found after 5632 iterations and 123 nodes (1.61 seconds)\n",
      "Cbc0010I After 287 nodes, 106 on tree, 2335846.8 best solution, best possible 2358337.5 (1.99 seconds)\n",
      "Cbc0010I After 509 nodes, 168 on tree, 2335846.8 best solution, best possible 2358337.5 (2.69 seconds)\n",
      "Cbc0004I Integer solution of 2348208.1 found after 30573 iterations and 641 nodes (3.35 seconds)\n",
      "Cbc0010I After 651 nodes, 130 on tree, 2348208.1 best solution, best possible 2358337.5 (3.39 seconds)\n",
      "Cbc0010I After 784 nodes, 158 on tree, 2348208.1 best solution, best possible 2358337.5 (4.09 seconds)\n",
      "Cbc0016I Integer solution of 2355403.1 found by strong branching after 42786 iterations and 917 nodes (4.47 seconds)\n",
      "Cbc0010I After 1010 nodes, 63 on tree, 2355403.1 best solution, best possible 2358337.5 (4.81 seconds)\n",
      "Cbc0004I Integer solution of 2356406.9 found after 51941 iterations and 1120 nodes (5.25 seconds)\n",
      "Cbc0010I After 1187 nodes, 63 on tree, 2356406.9 best solution, best possible 2358337.5 (5.51 seconds)\n",
      "Cbc0010I After 1373 nodes, 74 on tree, 2356406.9 best solution, best possible 2358337.5 (6.21 seconds)\n",
      "Cbc0010I After 1534 nodes, 94 on tree, 2356406.9 best solution, best possible 2358337.5 (6.92 seconds)\n",
      "Cbc0010I After 1634 nodes, 102 on tree, 2356406.9 best solution, best possible 2358337.5 (7.62 seconds)\n",
      "Cbc0010I After 1759 nodes, 118 on tree, 2356406.9 best solution, best possible 2358337.5 (8.33 seconds)\n",
      "Cbc0010I After 1933 nodes, 119 on tree, 2356406.9 best solution, best possible 2358337.5 (9.04 seconds)\n",
      "Cbc0010I After 2106 nodes, 126 on tree, 2356406.9 best solution, best possible 2358337.5 (9.74 seconds)\n",
      "Cbc0010I After 2299 nodes, 127 on tree, 2356406.9 best solution, best possible 2358337.5 (10.44 seconds)\n",
      "Cbc0010I After 2484 nodes, 158 on tree, 2356406.9 best solution, best possible 2358337.5 (11.14 seconds)\n",
      "Cbc0010I After 2653 nodes, 170 on tree, 2356406.9 best solution, best possible 2358337.5 (11.85 seconds)\n",
      "Cbc0010I After 2821 nodes, 173 on tree, 2356406.9 best solution, best possible 2358337.5 (12.55 seconds)\n",
      "Cbc0010I After 2962 nodes, 180 on tree, 2356406.9 best solution, best possible 2358337.5 (13.25 seconds)\n",
      "Cbc0010I After 3138 nodes, 185 on tree, 2356406.9 best solution, best possible 2358337.5 (13.96 seconds)\n",
      "Cbc0010I After 3301 nodes, 181 on tree, 2356406.9 best solution, best possible 2358337.5 (14.67 seconds)\n",
      "Cbc0010I After 3488 nodes, 205 on tree, 2356406.9 best solution, best possible 2358337.5 (15.38 seconds)\n",
      "Cbc0010I After 3669 nodes, 219 on tree, 2356406.9 best solution, best possible 2358337.5 (16.09 seconds)\n",
      "Cbc0010I After 3852 nodes, 238 on tree, 2356406.9 best solution, best possible 2358337.5 (16.79 seconds)\n",
      "Cbc0010I After 4014 nodes, 241 on tree, 2356406.9 best solution, best possible 2358337.5 (17.49 seconds)\n",
      "Cbc0010I After 4167 nodes, 247 on tree, 2356406.9 best solution, best possible 2358337.5 (18.19 seconds)\n",
      "Cbc0010I After 4351 nodes, 256 on tree, 2356406.9 best solution, best possible 2358337.5 (18.89 seconds)\n",
      "Cbc0010I After 4514 nodes, 247 on tree, 2356406.9 best solution, best possible 2358337.5 (19.59 seconds)\n",
      "Cbc0010I After 4664 nodes, 251 on tree, 2356406.9 best solution, best possible 2358337.5 (20.29 seconds)\n",
      "Cbc0010I After 4820 nodes, 267 on tree, 2356406.9 best solution, best possible 2358337.5 (20.99 seconds)\n",
      "Cbc0010I After 4956 nodes, 282 on tree, 2356406.9 best solution, best possible 2358337.5 (21.69 seconds)\n",
      "Cbc0010I After 5090 nodes, 278 on tree, 2356406.9 best solution, best possible 2358337.5 (22.39 seconds)\n",
      "Cbc0010I After 5251 nodes, 264 on tree, 2356406.9 best solution, best possible 2358337.5 (23.10 seconds)\n",
      "Cbc0010I After 5392 nodes, 266 on tree, 2356406.9 best solution, best possible 2358337.5 (23.80 seconds)\n",
      "Cbc0010I After 5546 nodes, 266 on tree, 2356406.9 best solution, best possible 2358337.5 (24.50 seconds)\n",
      "Cbc0010I After 5713 nodes, 262 on tree, 2356406.9 best solution, best possible 2358337.5 (25.20 seconds)\n",
      "Cbc0010I After 5882 nodes, 245 on tree, 2356406.9 best solution, best possible 2358337.5 (25.90 seconds)\n",
      "Cbc0010I After 6108 nodes, 261 on tree, 2356406.9 best solution, best possible 2358337.5 (26.61 seconds)\n",
      "Cbc0010I After 6267 nodes, 251 on tree, 2356406.9 best solution, best possible 2358337.5 (27.31 seconds)\n",
      "Cbc0010I After 6474 nodes, 254 on tree, 2356406.9 best solution, best possible 2358337.5 (28.01 seconds)\n",
      "Cbc0010I After 6707 nodes, 246 on tree, 2356406.9 best solution, best possible 2358337.5 (28.71 seconds)\n",
      "Cbc0010I After 6925 nodes, 233 on tree, 2356406.9 best solution, best possible 2358337.5 (29.42 seconds)\n",
      "Cbc0016I Integer solution of 2356577.1 found by strong branching after 324365 iterations and 6983 nodes (29.61 seconds)\n",
      "Cbc0010I After 7075 nodes, 221 on tree, 2356577.1 best solution, best possible 2358337.5 (30.12 seconds)\n",
      "Cbc0010I After 7240 nodes, 243 on tree, 2356577.1 best solution, best possible 2358337.5 (30.83 seconds)\n",
      "Cbc0010I After 7409 nodes, 257 on tree, 2356577.1 best solution, best possible 2358337.5 (31.54 seconds)\n",
      "Cbc0010I After 7612 nodes, 286 on tree, 2356577.1 best solution, best possible 2358337.5 (32.24 seconds)\n",
      "Cbc0010I After 7798 nodes, 301 on tree, 2356577.1 best solution, best possible 2358337.5 (32.94 seconds)\n",
      "Cbc0010I After 7934 nodes, 305 on tree, 2356577.1 best solution, best possible 2358337.5 (33.64 seconds)\n",
      "Cbc0010I After 8094 nodes, 339 on tree, 2356577.1 best solution, best possible 2358337.5 (34.34 seconds)\n",
      "Cbc0010I After 8268 nodes, 353 on tree, 2356577.1 best solution, best possible 2358337.5 (35.05 seconds)\n",
      "Cbc0010I After 8377 nodes, 373 on tree, 2356577.1 best solution, best possible 2358337.5 (35.75 seconds)\n",
      "Cbc0010I After 8585 nodes, 396 on tree, 2356577.1 best solution, best possible 2358337.5 (36.45 seconds)\n",
      "Cbc0010I After 8786 nodes, 398 on tree, 2356577.1 best solution, best possible 2358337.5 (37.16 seconds)\n",
      "Cbc0010I After 8977 nodes, 396 on tree, 2356577.1 best solution, best possible 2358337.5 (37.86 seconds)\n",
      "Cbc0010I After 9190 nodes, 363 on tree, 2356577.1 best solution, best possible 2358337.5 (38.56 seconds)\n",
      "Cbc0004I Integer solution of 2356699.8 found after 435992 iterations and 9318 nodes (38.93 seconds)\n",
      "Cbc0010I After 9371 nodes, 335 on tree, 2356699.8 best solution, best possible 2358337.5 (39.27 seconds)\n",
      "Cbc0010I After 9491 nodes, 340 on tree, 2356699.8 best solution, best possible 2358337.5 (39.97 seconds)\n",
      "Cbc0010I After 9641 nodes, 343 on tree, 2356699.8 best solution, best possible 2358337.5 (40.67 seconds)\n",
      "Cbc0010I After 9806 nodes, 363 on tree, 2356699.8 best solution, best possible 2358337.5 (41.37 seconds)\n",
      "Cbc0010I After 9981 nodes, 372 on tree, 2356699.8 best solution, best possible 2358337.5 (42.08 seconds)\n",
      "Cbc0010I After 10123 nodes, 380 on tree, 2356699.8 best solution, best possible 2358337.5 (42.78 seconds)\n",
      "Cbc0010I After 10278 nodes, 388 on tree, 2356699.8 best solution, best possible 2358337.5 (43.48 seconds)\n",
      "Cbc0010I After 10438 nodes, 386 on tree, 2356699.8 best solution, best possible 2358337.5 (44.19 seconds)\n",
      "Cbc0010I After 10567 nodes, 391 on tree, 2356699.8 best solution, best possible 2358337.5 (44.90 seconds)\n",
      "Cbc0010I After 10761 nodes, 399 on tree, 2356699.8 best solution, best possible 2358337.5 (45.60 seconds)\n",
      "Cbc0010I After 10946 nodes, 407 on tree, 2356699.8 best solution, best possible 2358337.5 (46.31 seconds)\n",
      "Cbc0010I After 11095 nodes, 422 on tree, 2356699.8 best solution, best possible 2358337.5 (47.01 seconds)\n",
      "Cbc0010I After 11278 nodes, 444 on tree, 2356699.8 best solution, best possible 2358337.5 (47.72 seconds)\n",
      "Cbc0010I After 11441 nodes, 451 on tree, 2356699.8 best solution, best possible 2358337.5 (48.42 seconds)\n",
      "Cbc0010I After 11563 nodes, 457 on tree, 2356699.8 best solution, best possible 2358337.5 (49.13 seconds)\n",
      "Cbc0010I After 11732 nodes, 497 on tree, 2356699.8 best solution, best possible 2358337.5 (49.84 seconds)\n",
      "Cbc0010I After 11904 nodes, 516 on tree, 2356699.8 best solution, best possible 2358337.5 (50.54 seconds)\n",
      "Cbc0010I After 12062 nodes, 526 on tree, 2356699.8 best solution, best possible 2358337.5 (51.24 seconds)\n",
      "Cbc0010I After 12230 nodes, 554 on tree, 2356699.8 best solution, best possible 2358337.5 (51.94 seconds)\n",
      "Cbc0010I After 12397 nodes, 561 on tree, 2356699.8 best solution, best possible 2358337.5 (52.65 seconds)\n",
      "Cbc0010I After 12564 nodes, 602 on tree, 2356699.8 best solution, best possible 2358337.5 (53.35 seconds)\n",
      "Cbc0010I After 12749 nodes, 632 on tree, 2356699.8 best solution, best possible 2358337.5 (54.06 seconds)\n",
      "Cbc0010I After 12920 nodes, 693 on tree, 2356699.8 best solution, best possible 2358337.5 (54.76 seconds)\n",
      "Cbc0010I After 13094 nodes, 698 on tree, 2356699.8 best solution, best possible 2358337.5 (55.47 seconds)\n",
      "Cbc0010I After 13296 nodes, 666 on tree, 2356699.8 best solution, best possible 2358337.5 (56.17 seconds)\n",
      "Cbc0010I After 13517 nodes, 648 on tree, 2356699.8 best solution, best possible 2358337.5 (56.88 seconds)\n",
      "Cbc0010I After 13655 nodes, 637 on tree, 2356699.8 best solution, best possible 2358337.5 (57.60 seconds)\n",
      "Cbc0010I After 13804 nodes, 609 on tree, 2356699.8 best solution, best possible 2358337.5 (58.30 seconds)\n",
      "Cbc0010I After 13965 nodes, 592 on tree, 2356699.8 best solution, best possible 2358337.5 (59.00 seconds)\n",
      "Cbc0010I After 14117 nodes, 602 on tree, 2356699.8 best solution, best possible 2358337.5 (59.71 seconds)\n",
      "Cbc0010I After 14291 nodes, 620 on tree, 2356699.8 best solution, best possible 2358337.5 (60.41 seconds)\n",
      "Cbc0010I After 14448 nodes, 640 on tree, 2356699.8 best solution, best possible 2358337.5 (61.11 seconds)\n",
      "Cbc0010I After 14571 nodes, 654 on tree, 2356699.8 best solution, best possible 2358337.5 (61.81 seconds)\n",
      "Cbc0010I After 14684 nodes, 676 on tree, 2356699.8 best solution, best possible 2358337.5 (62.52 seconds)\n",
      "Cbc0010I After 14829 nodes, 685 on tree, 2356699.8 best solution, best possible 2358337.5 (63.22 seconds)\n",
      "Cbc0010I After 14956 nodes, 706 on tree, 2356699.8 best solution, best possible 2358337.5 (63.92 seconds)\n",
      "Cbc0010I After 15106 nodes, 726 on tree, 2356699.8 best solution, best possible 2358337.5 (64.63 seconds)\n",
      "Cbc0010I After 15293 nodes, 755 on tree, 2356699.8 best solution, best possible 2358337.5 (65.33 seconds)\n",
      "Cbc0010I After 15507 nodes, 779 on tree, 2356699.8 best solution, best possible 2358337.5 (66.03 seconds)\n",
      "Cbc0010I After 15680 nodes, 801 on tree, 2356699.8 best solution, best possible 2358337.5 (66.74 seconds)\n",
      "Cbc0010I After 15882 nodes, 821 on tree, 2356699.8 best solution, best possible 2358337.5 (67.44 seconds)\n",
      "Cbc0010I After 16069 nodes, 850 on tree, 2356699.8 best solution, best possible 2358337.5 (68.15 seconds)\n",
      "Cbc0010I After 16215 nodes, 875 on tree, 2356699.8 best solution, best possible 2358337.5 (68.85 seconds)\n",
      "Cbc0010I After 16284 nodes, 893 on tree, 2356699.8 best solution, best possible 2358337.5 (69.56 seconds)\n",
      "Cbc0010I After 16397 nodes, 913 on tree, 2356699.8 best solution, best possible 2358337.5 (70.26 seconds)\n",
      "Cbc0010I After 16510 nodes, 936 on tree, 2356699.8 best solution, best possible 2358337.5 (70.96 seconds)\n",
      "Cbc0010I After 16638 nodes, 963 on tree, 2356699.8 best solution, best possible 2358337.5 (71.68 seconds)\n",
      "Cbc0010I After 16787 nodes, 988 on tree, 2356699.8 best solution, best possible 2358337.5 (72.39 seconds)\n",
      "Cbc0010I After 16918 nodes, 1008 on tree, 2356699.8 best solution, best possible 2358337.5 (73.09 seconds)\n",
      "Cbc0010I After 17075 nodes, 1005 on tree, 2356699.8 best solution, best possible 2358337.5 (73.79 seconds)\n",
      "Cbc0010I After 17199 nodes, 973 on tree, 2356699.8 best solution, best possible 2358337.5 (74.49 seconds)\n",
      "Cbc0010I After 17306 nodes, 951 on tree, 2356699.8 best solution, best possible 2358337.5 (75.19 seconds)\n",
      "Cbc0010I After 17420 nodes, 930 on tree, 2356699.8 best solution, best possible 2358337.5 (75.89 seconds)\n",
      "Cbc0010I After 17547 nodes, 910 on tree, 2356699.8 best solution, best possible 2358337.5 (76.60 seconds)\n",
      "Cbc0010I After 17689 nodes, 884 on tree, 2356699.8 best solution, best possible 2358337.5 (77.30 seconds)\n",
      "Cbc0010I After 17849 nodes, 865 on tree, 2356699.8 best solution, best possible 2358337.5 (78.00 seconds)\n",
      "Cbc0010I After 18000 nodes, 850 on tree, 2356699.8 best solution, best possible 2358337.5 (78.70 seconds)\n",
      "Cbc0010I After 18165 nodes, 874 on tree, 2356699.8 best solution, best possible 2358337.5 (79.40 seconds)\n",
      "Cbc0010I After 18300 nodes, 899 on tree, 2356699.8 best solution, best possible 2358337.5 (80.11 seconds)\n",
      "Cbc0010I After 18433 nodes, 923 on tree, 2356699.8 best solution, best possible 2358337.5 (80.81 seconds)\n",
      "Cbc0010I After 18569 nodes, 947 on tree, 2356699.8 best solution, best possible 2358337.5 (81.51 seconds)\n",
      "Cbc0010I After 18715 nodes, 968 on tree, 2356699.8 best solution, best possible 2358337.5 (82.21 seconds)\n",
      "Cbc0010I After 18859 nodes, 991 on tree, 2356699.8 best solution, best possible 2358337.5 (82.92 seconds)\n",
      "Cbc0010I After 19013 nodes, 1022 on tree, 2356699.8 best solution, best possible 2358337.5 (83.62 seconds)\n",
      "Cbc0010I After 19157 nodes, 1039 on tree, 2356699.8 best solution, best possible 2358337.5 (84.33 seconds)\n",
      "Cbc0010I After 19320 nodes, 1071 on tree, 2356699.8 best solution, best possible 2358337.5 (85.03 seconds)\n",
      "Cbc0010I After 19490 nodes, 1127 on tree, 2356699.8 best solution, best possible 2358337.5 (85.73 seconds)\n",
      "Cbc0010I After 19693 nodes, 1183 on tree, 2356699.8 best solution, best possible 2358337.5 (86.43 seconds)\n",
      "Cbc0010I After 19910 nodes, 1237 on tree, 2356699.8 best solution, best possible 2358337.5 (87.13 seconds)\n",
      "Cbc0010I After 20062 nodes, 1275 on tree, 2356699.8 best solution, best possible 2358337.5 (87.84 seconds)\n",
      "Cbc0010I After 20223 nodes, 1317 on tree, 2356699.8 best solution, best possible 2358337.5 (88.54 seconds)\n",
      "Cbc0010I After 20377 nodes, 1348 on tree, 2356699.8 best solution, best possible 2358337.5 (89.24 seconds)\n",
      "Cbc0010I After 20585 nodes, 1408 on tree, 2356699.8 best solution, best possible 2358337.5 (89.94 seconds)\n",
      "Cbc0010I After 20760 nodes, 1446 on tree, 2356699.8 best solution, best possible 2358337.5 (90.65 seconds)\n",
      "Cbc0010I After 20924 nodes, 1480 on tree, 2356699.8 best solution, best possible 2358337.5 (91.35 seconds)\n",
      "Cbc0010I After 21095 nodes, 1494 on tree, 2356699.8 best solution, best possible 2358337.5 (92.05 seconds)\n",
      "Cbc0010I After 21298 nodes, 1499 on tree, 2356699.8 best solution, best possible 2358337.5 (92.75 seconds)\n",
      "Cbc0010I After 21425 nodes, 1498 on tree, 2356699.8 best solution, best possible 2358337.5 (93.45 seconds)\n",
      "Cbc0010I After 21610 nodes, 1519 on tree, 2356699.8 best solution, best possible 2358337.5 (94.15 seconds)\n",
      "Cbc0010I After 21800 nodes, 1508 on tree, 2356699.8 best solution, best possible 2358337.5 (94.85 seconds)\n",
      "Cbc0010I After 21930 nodes, 1504 on tree, 2356699.8 best solution, best possible 2358337.5 (95.57 seconds)\n",
      "Cbc0010I After 22051 nodes, 1501 on tree, 2356699.8 best solution, best possible 2358337.5 (96.27 seconds)\n",
      "Cbc0010I After 22235 nodes, 1529 on tree, 2356699.8 best solution, best possible 2358337.5 (96.98 seconds)\n",
      "Cbc0010I After 22455 nodes, 1554 on tree, 2356699.8 best solution, best possible 2358337.5 (97.68 seconds)\n",
      "Cbc0010I After 22685 nodes, 1611 on tree, 2356699.8 best solution, best possible 2358337.5 (98.38 seconds)\n",
      "Cbc0010I After 22892 nodes, 1649 on tree, 2356699.8 best solution, best possible 2358337.5 (99.08 seconds)\n",
      "Cbc0010I After 23136 nodes, 1707 on tree, 2356699.8 best solution, best possible 2358337.5 (99.78 seconds)\n",
      "Cbc0010I After 23433 nodes, 1750 on tree, 2356699.8 best solution, best possible 2358337.5 (100.48 seconds)\n",
      "Cbc0010I After 23716 nodes, 1780 on tree, 2356699.8 best solution, best possible 2358337.5 (101.19 seconds)\n",
      "Cbc0010I After 23890 nodes, 1797 on tree, 2356699.8 best solution, best possible 2358337.5 (101.89 seconds)\n",
      "Cbc0010I After 24117 nodes, 1837 on tree, 2356699.8 best solution, best possible 2358337.5 (102.59 seconds)\n",
      "Cbc0010I After 24302 nodes, 1853 on tree, 2356699.8 best solution, best possible 2358337.5 (103.29 seconds)\n",
      "Cbc0010I After 24500 nodes, 1876 on tree, 2356699.8 best solution, best possible 2358337.5 (104.00 seconds)\n",
      "Cbc0010I After 24709 nodes, 1898 on tree, 2356699.8 best solution, best possible 2358337.5 (104.70 seconds)\n",
      "Cbc0010I After 25022 nodes, 1989 on tree, 2356699.8 best solution, best possible 2358337.5 (105.40 seconds)\n",
      "Cbc0010I After 25262 nodes, 1979 on tree, 2356699.8 best solution, best possible 2358337.5 (106.10 seconds)\n",
      "Cbc0010I After 25438 nodes, 1967 on tree, 2356699.8 best solution, best possible 2358337.5 (106.80 seconds)\n",
      "Cbc0010I After 25624 nodes, 1969 on tree, 2356699.8 best solution, best possible 2358337.5 (107.50 seconds)\n",
      "Cbc0010I After 25824 nodes, 1950 on tree, 2356699.8 best solution, best possible 2358337.5 (108.21 seconds)\n",
      "Cbc0010I After 26030 nodes, 1947 on tree, 2356699.8 best solution, best possible 2358337.5 (108.91 seconds)\n",
      "Cbc0010I After 26237 nodes, 1984 on tree, 2356699.8 best solution, best possible 2358337.5 (109.61 seconds)\n",
      "Cbc0010I After 26475 nodes, 2005 on tree, 2356699.8 best solution, best possible 2358337.5 (110.31 seconds)\n",
      "Cbc0010I After 26681 nodes, 2019 on tree, 2356699.8 best solution, best possible 2358337.5 (111.01 seconds)\n",
      "Cbc0010I After 26890 nodes, 2028 on tree, 2356699.8 best solution, best possible 2358337.5 (111.72 seconds)\n",
      "Cbc0010I After 27044 nodes, 2051 on tree, 2356699.8 best solution, best possible 2358337.5 (112.42 seconds)\n",
      "Cbc0010I After 27361 nodes, 2098 on tree, 2356699.8 best solution, best possible 2358337.5 (113.12 seconds)\n",
      "Cbc0010I After 27627 nodes, 2115 on tree, 2356699.8 best solution, best possible 2358337.5 (113.82 seconds)\n",
      "Cbc0010I After 27803 nodes, 2144 on tree, 2356699.8 best solution, best possible 2358337.5 (114.52 seconds)\n",
      "Cbc0010I After 28034 nodes, 2183 on tree, 2356699.8 best solution, best possible 2358337.5 (115.22 seconds)\n",
      "Cbc0010I After 28298 nodes, 2217 on tree, 2356699.8 best solution, best possible 2358337.5 (115.92 seconds)\n",
      "Cbc0010I After 28527 nodes, 2251 on tree, 2356699.8 best solution, best possible 2358337.5 (116.63 seconds)\n",
      "Cbc0010I After 28731 nodes, 2304 on tree, 2356699.8 best solution, best possible 2358337.5 (117.33 seconds)\n",
      "Cbc0010I After 29018 nodes, 2354 on tree, 2356699.8 best solution, best possible 2358337.5 (118.03 seconds)\n",
      "Cbc0010I After 29149 nodes, 2363 on tree, 2356699.8 best solution, best possible 2358337.5 (118.74 seconds)\n",
      "Cbc0010I After 29306 nodes, 2335 on tree, 2356699.8 best solution, best possible 2358337.5 (119.44 seconds)\n",
      "Cbc0010I After 29526 nodes, 2358 on tree, 2356699.8 best solution, best possible 2358337.5 (120.14 seconds)\n",
      "Cbc0010I After 29709 nodes, 2350 on tree, 2356699.8 best solution, best possible 2358337.5 (120.86 seconds)\n",
      "Cbc0010I After 29834 nodes, 2359 on tree, 2356699.8 best solution, best possible 2358337.5 (121.56 seconds)\n",
      "Cbc0010I After 29993 nodes, 2328 on tree, 2356699.8 best solution, best possible 2358337.5 (122.26 seconds)\n",
      "Cbc0010I After 30192 nodes, 2351 on tree, 2356699.8 best solution, best possible 2358337.5 (122.96 seconds)\n",
      "Cbc0010I After 30405 nodes, 2389 on tree, 2356699.8 best solution, best possible 2358337.5 (123.66 seconds)\n",
      "Cbc0010I After 30608 nodes, 2450 on tree, 2356699.8 best solution, best possible 2358337.5 (124.37 seconds)\n",
      "Cbc0010I After 30799 nodes, 2502 on tree, 2356699.8 best solution, best possible 2358337.5 (125.07 seconds)\n",
      "Cbc0010I After 30999 nodes, 2546 on tree, 2356699.8 best solution, best possible 2358337.5 (125.77 seconds)\n",
      "Cbc0010I After 31252 nodes, 2622 on tree, 2356699.8 best solution, best possible 2358337.5 (126.47 seconds)\n",
      "Cbc0010I After 31479 nodes, 2660 on tree, 2356699.8 best solution, best possible 2358337.5 (127.18 seconds)\n",
      "Cbc0010I After 31667 nodes, 2705 on tree, 2356699.8 best solution, best possible 2358337.5 (127.88 seconds)\n",
      "Cbc0010I After 31899 nodes, 2768 on tree, 2356699.8 best solution, best possible 2358337.5 (128.59 seconds)\n",
      "Cbc0010I After 32084 nodes, 2827 on tree, 2356699.8 best solution, best possible 2358337.5 (129.29 seconds)\n",
      "Cbc0010I After 32274 nodes, 2887 on tree, 2356699.8 best solution, best possible 2358337.5 (129.99 seconds)\n",
      "Cbc0010I After 32469 nodes, 2939 on tree, 2356699.8 best solution, best possible 2358337.5 (130.70 seconds)\n",
      "Cbc0010I After 32671 nodes, 2995 on tree, 2356699.8 best solution, best possible 2358337.5 (131.40 seconds)\n",
      "Cbc0010I After 32861 nodes, 3042 on tree, 2356699.8 best solution, best possible 2358337.5 (132.11 seconds)\n",
      "Cbc0010I After 33072 nodes, 3079 on tree, 2356699.8 best solution, best possible 2358337.5 (132.81 seconds)\n",
      "Cbc0010I After 33344 nodes, 3068 on tree, 2356699.8 best solution, best possible 2358337.5 (133.51 seconds)\n",
      "Cbc0010I After 33585 nodes, 3071 on tree, 2356699.8 best solution, best possible 2358337.5 (134.21 seconds)\n",
      "Cbc0010I After 33746 nodes, 3042 on tree, 2356699.8 best solution, best possible 2358337.5 (134.91 seconds)\n",
      "Cbc0010I After 33890 nodes, 3025 on tree, 2356699.8 best solution, best possible 2358337.5 (135.61 seconds)\n",
      "Cbc0010I After 34033 nodes, 3023 on tree, 2356699.8 best solution, best possible 2358337.5 (136.33 seconds)\n",
      "Cbc0010I After 34170 nodes, 3065 on tree, 2356699.8 best solution, best possible 2358337.5 (137.04 seconds)\n",
      "Cbc0010I After 34318 nodes, 3102 on tree, 2356699.8 best solution, best possible 2358337.5 (137.74 seconds)\n",
      "Cbc0010I After 34463 nodes, 3115 on tree, 2356699.8 best solution, best possible 2358337.5 (138.45 seconds)\n",
      "Cbc0010I After 34663 nodes, 3150 on tree, 2356699.8 best solution, best possible 2358337.5 (139.15 seconds)\n",
      "Cbc0010I After 34815 nodes, 3184 on tree, 2356699.8 best solution, best possible 2358337.5 (139.85 seconds)\n",
      "Cbc0010I After 34949 nodes, 3209 on tree, 2356699.8 best solution, best possible 2358337.5 (140.56 seconds)\n",
      "Cbc0010I After 35101 nodes, 3244 on tree, 2356699.8 best solution, best possible 2358337.5 (141.26 seconds)\n",
      "Cbc0010I After 35245 nodes, 3275 on tree, 2356699.8 best solution, best possible 2358337.5 (141.97 seconds)\n",
      "Cbc0010I After 35369 nodes, 3315 on tree, 2356699.8 best solution, best possible 2358337.5 (142.67 seconds)\n",
      "Cbc0010I After 35574 nodes, 3354 on tree, 2356699.8 best solution, best possible 2358337.5 (143.39 seconds)\n",
      "Cbc0010I After 35777 nodes, 3385 on tree, 2356699.8 best solution, best possible 2358337.5 (144.10 seconds)\n",
      "Cbc0010I After 35982 nodes, 3415 on tree, 2356699.8 best solution, best possible 2358337.5 (144.81 seconds)\n",
      "Cbc0010I After 36141 nodes, 3438 on tree, 2356699.8 best solution, best possible 2358337.5 (145.52 seconds)\n",
      "Cbc0010I After 36327 nodes, 3464 on tree, 2356699.8 best solution, best possible 2358337.5 (146.22 seconds)\n",
      "Cbc0010I After 36522 nodes, 3507 on tree, 2356699.8 best solution, best possible 2358337.5 (146.92 seconds)\n",
      "Cbc0010I After 36726 nodes, 3564 on tree, 2356699.8 best solution, best possible 2358337.5 (147.62 seconds)\n",
      "Cbc0010I After 36938 nodes, 3598 on tree, 2356699.8 best solution, best possible 2358337.5 (148.32 seconds)\n",
      "Cbc0010I After 37144 nodes, 3578 on tree, 2356699.8 best solution, best possible 2358337.5 (149.02 seconds)\n",
      "Cbc0010I After 37351 nodes, 3543 on tree, 2356699.8 best solution, best possible 2358337.5 (149.74 seconds)\n",
      "Cbc0010I After 37487 nodes, 3510 on tree, 2356699.8 best solution, best possible 2358337.5 (150.44 seconds)\n",
      "Cbc0010I After 37609 nodes, 3495 on tree, 2356699.8 best solution, best possible 2358337.5 (151.15 seconds)\n",
      "Cbc0010I After 37751 nodes, 3508 on tree, 2356699.8 best solution, best possible 2358337.5 (151.85 seconds)\n",
      "Cbc0010I After 37913 nodes, 3506 on tree, 2356699.8 best solution, best possible 2358337.5 (152.55 seconds)\n",
      "Cbc0010I After 38042 nodes, 3497 on tree, 2356699.8 best solution, best possible 2358337.5 (153.26 seconds)\n",
      "Cbc0010I After 38206 nodes, 3533 on tree, 2356699.8 best solution, best possible 2358337.5 (153.96 seconds)\n",
      "Cbc0010I After 38426 nodes, 3567 on tree, 2356699.8 best solution, best possible 2358337.5 (154.66 seconds)\n",
      "Cbc0010I After 38649 nodes, 3603 on tree, 2356699.8 best solution, best possible 2358337.5 (155.36 seconds)\n",
      "Cbc0010I After 38844 nodes, 3660 on tree, 2356699.8 best solution, best possible 2358337.5 (156.07 seconds)\n",
      "Cbc0010I After 39038 nodes, 3713 on tree, 2356699.8 best solution, best possible 2358337.5 (156.77 seconds)\n",
      "Cbc0010I After 39262 nodes, 3739 on tree, 2356699.8 best solution, best possible 2358337.5 (157.47 seconds)\n",
      "Cbc0010I After 39422 nodes, 3777 on tree, 2356699.8 best solution, best possible 2358337.5 (158.18 seconds)\n",
      "Cbc0010I After 39555 nodes, 3818 on tree, 2356699.8 best solution, best possible 2358337.5 (158.88 seconds)\n",
      "Cbc0010I After 39680 nodes, 3871 on tree, 2356699.8 best solution, best possible 2358337.5 (159.59 seconds)\n",
      "Cbc0010I After 39815 nodes, 3914 on tree, 2356699.8 best solution, best possible 2358337.5 (160.29 seconds)\n",
      "Cbc0010I After 39986 nodes, 3936 on tree, 2356699.8 best solution, best possible 2358337.5 (160.99 seconds)\n",
      "Cbc0010I After 40173 nodes, 3961 on tree, 2356699.8 best solution, best possible 2358337.5 (161.70 seconds)\n",
      "Cbc0010I After 40317 nodes, 3982 on tree, 2356699.8 best solution, best possible 2358337.5 (162.41 seconds)\n",
      "Cbc0010I After 40399 nodes, 4007 on tree, 2356699.8 best solution, best possible 2358337.5 (163.11 seconds)\n",
      "Cbc0010I After 40503 nodes, 4029 on tree, 2356699.8 best solution, best possible 2358337.5 (163.82 seconds)\n",
      "Cbc0010I After 40656 nodes, 4055 on tree, 2356699.8 best solution, best possible 2358337.5 (164.52 seconds)\n",
      "Cbc0010I After 40809 nodes, 4096 on tree, 2356699.8 best solution, best possible 2358337.5 (165.22 seconds)\n",
      "Cbc0010I After 40940 nodes, 4134 on tree, 2356699.8 best solution, best possible 2358337.5 (165.93 seconds)\n",
      "Cbc0010I After 41081 nodes, 4148 on tree, 2356699.8 best solution, best possible 2358337.5 (166.63 seconds)\n",
      "Cbc0010I After 41193 nodes, 4136 on tree, 2356699.8 best solution, best possible 2358337.5 (167.34 seconds)\n",
      "Cbc0010I After 41284 nodes, 4119 on tree, 2356699.8 best solution, best possible 2358337.5 (168.05 seconds)\n",
      "Cbc0010I After 41377 nodes, 4120 on tree, 2356699.8 best solution, best possible 2358337.5 (168.75 seconds)\n",
      "Cbc0010I After 41484 nodes, 4103 on tree, 2356699.8 best solution, best possible 2358337.5 (169.46 seconds)\n",
      "Cbc0010I After 41632 nodes, 4080 on tree, 2356699.8 best solution, best possible 2358337.5 (170.17 seconds)\n",
      "Cbc0010I After 41778 nodes, 4073 on tree, 2356699.8 best solution, best possible 2358337.5 (170.87 seconds)\n",
      "Cbc0010I After 41865 nodes, 4068 on tree, 2356699.8 best solution, best possible 2358337.5 (171.57 seconds)\n",
      "Cbc0010I After 41951 nodes, 4036 on tree, 2356699.8 best solution, best possible 2358337.5 (172.27 seconds)\n",
      "Cbc0010I After 42075 nodes, 4049 on tree, 2356699.8 best solution, best possible 2358337.5 (172.98 seconds)\n",
      "Cbc0010I After 42215 nodes, 4081 on tree, 2356699.8 best solution, best possible 2358337.5 (173.68 seconds)\n",
      "Cbc0010I After 42383 nodes, 4122 on tree, 2356699.8 best solution, best possible 2358337.5 (174.39 seconds)\n",
      "Cbc0010I After 42572 nodes, 4166 on tree, 2356699.8 best solution, best possible 2358337.5 (175.09 seconds)\n",
      "Cbc0010I After 42708 nodes, 4198 on tree, 2356699.8 best solution, best possible 2358337.5 (175.80 seconds)\n",
      "Cbc0010I After 42865 nodes, 4238 on tree, 2356699.8 best solution, best possible 2358337.5 (176.50 seconds)\n",
      "Cbc0010I After 43025 nodes, 4270 on tree, 2356699.8 best solution, best possible 2358337.5 (177.20 seconds)\n",
      "Cbc0010I After 43199 nodes, 4316 on tree, 2356699.8 best solution, best possible 2358337.5 (177.90 seconds)\n",
      "Cbc0010I After 43354 nodes, 4343 on tree, 2356699.8 best solution, best possible 2358337.5 (178.60 seconds)\n",
      "Cbc0010I After 43537 nodes, 4380 on tree, 2356699.8 best solution, best possible 2358337.5 (179.31 seconds)\n",
      "Cbc0010I After 43736 nodes, 4423 on tree, 2356699.8 best solution, best possible 2358337.5 (180.01 seconds)\n",
      "Cbc0010I After 43968 nodes, 4482 on tree, 2356699.8 best solution, best possible 2358337.5 (180.72 seconds)\n",
      "Cbc0010I After 44134 nodes, 4528 on tree, 2356699.8 best solution, best possible 2358337.5 (181.42 seconds)\n",
      "Cbc0010I After 44291 nodes, 4559 on tree, 2356699.8 best solution, best possible 2358337.5 (182.12 seconds)\n",
      "Cbc0010I After 44439 nodes, 4579 on tree, 2356699.8 best solution, best possible 2358337.5 (182.82 seconds)\n",
      "Cbc0010I After 44606 nodes, 4620 on tree, 2356699.8 best solution, best possible 2358337.5 (183.53 seconds)\n",
      "Cbc0010I After 44757 nodes, 4645 on tree, 2356699.8 best solution, best possible 2358337.5 (184.24 seconds)\n",
      "Cbc0010I After 44914 nodes, 4680 on tree, 2356699.8 best solution, best possible 2358337.5 (184.94 seconds)\n",
      "Cbc0010I After 45063 nodes, 4691 on tree, 2356699.8 best solution, best possible 2358337.5 (185.65 seconds)\n",
      "Cbc0010I After 45201 nodes, 4689 on tree, 2356699.8 best solution, best possible 2358337.5 (186.35 seconds)\n",
      "Cbc0010I After 45433 nodes, 4664 on tree, 2356699.8 best solution, best possible 2358337.5 (187.06 seconds)\n",
      "Cbc0010I After 45705 nodes, 4657 on tree, 2356699.8 best solution, best possible 2358337.5 (187.76 seconds)\n",
      "Cbc0010I After 45812 nodes, 4652 on tree, 2356699.8 best solution, best possible 2358337.5 (188.47 seconds)\n",
      "Cbc0010I After 46066 nodes, 4648 on tree, 2356699.8 best solution, best possible 2358337.5 (189.17 seconds)\n",
      "Cbc0010I After 46209 nodes, 4679 on tree, 2356699.8 best solution, best possible 2358337.5 (189.88 seconds)\n",
      "Cbc0010I After 46359 nodes, 4695 on tree, 2356699.8 best solution, best possible 2358337.5 (190.58 seconds)\n",
      "Cbc0010I After 46469 nodes, 4698 on tree, 2356699.8 best solution, best possible 2358337.5 (191.32 seconds)\n",
      "Cbc0010I After 46609 nodes, 4719 on tree, 2356699.8 best solution, best possible 2358337.5 (192.03 seconds)\n",
      "Cbc0010I After 46721 nodes, 4731 on tree, 2356699.8 best solution, best possible 2358337.5 (192.73 seconds)\n",
      "Cbc0010I After 46870 nodes, 4764 on tree, 2356699.8 best solution, best possible 2358337.5 (193.45 seconds)\n",
      "Cbc0010I After 47072 nodes, 4789 on tree, 2356699.8 best solution, best possible 2358337.5 (194.15 seconds)\n",
      "Cbc0010I After 47293 nodes, 4814 on tree, 2356699.8 best solution, best possible 2358337.5 (194.85 seconds)\n",
      "Cbc0010I After 47521 nodes, 4824 on tree, 2356699.8 best solution, best possible 2358337.5 (195.56 seconds)\n",
      "Cbc0010I After 47708 nodes, 4842 on tree, 2356699.8 best solution, best possible 2358337.5 (196.26 seconds)\n",
      "Cbc0010I After 47855 nodes, 4881 on tree, 2356699.8 best solution, best possible 2358337.5 (196.96 seconds)\n",
      "Cbc0010I After 48000 nodes, 4914 on tree, 2356699.8 best solution, best possible 2358337.5 (197.66 seconds)\n",
      "Cbc0010I After 48171 nodes, 4939 on tree, 2356699.8 best solution, best possible 2358337.5 (198.36 seconds)\n",
      "Cbc0010I After 48331 nodes, 4982 on tree, 2356699.8 best solution, best possible 2358337.5 (199.07 seconds)\n",
      "Cbc0010I After 48464 nodes, 5009 on tree, 2356699.8 best solution, best possible 2358337.5 (199.77 seconds)\n",
      "Cbc0010I After 48598 nodes, 5043 on tree, 2356699.8 best solution, best possible 2358337.5 (200.47 seconds)\n",
      "Cbc0010I After 48764 nodes, 5090 on tree, 2356699.8 best solution, best possible 2358337.5 (201.18 seconds)\n",
      "Cbc0010I After 48894 nodes, 5109 on tree, 2356699.8 best solution, best possible 2358337.5 (201.89 seconds)\n",
      "Cbc0010I After 49082 nodes, 5130 on tree, 2356699.8 best solution, best possible 2358337.5 (202.59 seconds)\n",
      "Cbc0010I After 49371 nodes, 5125 on tree, 2356699.8 best solution, best possible 2358337.5 (203.29 seconds)\n",
      "Cbc0010I After 49535 nodes, 5094 on tree, 2356699.8 best solution, best possible 2358337.5 (204.00 seconds)\n",
      "Cbc0010I After 49735 nodes, 5096 on tree, 2356699.8 best solution, best possible 2358337.5 (204.70 seconds)\n",
      "Cbc0010I After 49875 nodes, 5097 on tree, 2356699.8 best solution, best possible 2358337.5 (205.41 seconds)\n",
      "Cbc0010I After 50036 nodes, 5102 on tree, 2356699.8 best solution, best possible 2358337.5 (206.12 seconds)\n",
      "Cbc0010I After 50199 nodes, 5143 on tree, 2356699.8 best solution, best possible 2358337.5 (206.82 seconds)\n",
      "Cbc0010I After 50319 nodes, 5183 on tree, 2356699.8 best solution, best possible 2358337.5 (207.53 seconds)\n",
      "Cbc0010I After 50448 nodes, 5219 on tree, 2356699.8 best solution, best possible 2358337.5 (208.23 seconds)\n",
      "Cbc0010I After 50585 nodes, 5252 on tree, 2356699.8 best solution, best possible 2358337.5 (208.94 seconds)\n",
      "Cbc0010I After 50681 nodes, 5273 on tree, 2356699.8 best solution, best possible 2358337.5 (209.65 seconds)\n",
      "Cbc0010I After 50881 nodes, 5304 on tree, 2356699.8 best solution, best possible 2358337.5 (210.35 seconds)\n",
      "Cbc0010I After 51009 nodes, 5340 on tree, 2356699.8 best solution, best possible 2358337.5 (211.05 seconds)\n",
      "Cbc0010I After 51224 nodes, 5364 on tree, 2356699.8 best solution, best possible 2358337.5 (211.75 seconds)\n",
      "Cbc0010I After 51365 nodes, 5400 on tree, 2356699.8 best solution, best possible 2358337.5 (212.47 seconds)\n",
      "Cbc0010I After 51512 nodes, 5430 on tree, 2356699.8 best solution, best possible 2358337.5 (213.17 seconds)\n",
      "Cbc0010I After 51579 nodes, 5451 on tree, 2356699.8 best solution, best possible 2358337.5 (213.87 seconds)\n",
      "Cbc0010I After 51729 nodes, 5473 on tree, 2356699.8 best solution, best possible 2358337.5 (214.58 seconds)\n",
      "Cbc0010I After 51836 nodes, 5487 on tree, 2356699.8 best solution, best possible 2358337.5 (215.28 seconds)\n",
      "Cbc0010I After 51975 nodes, 5519 on tree, 2356699.8 best solution, best possible 2358337.5 (215.98 seconds)\n",
      "Cbc0010I After 52102 nodes, 5545 on tree, 2356699.8 best solution, best possible 2358337.5 (216.69 seconds)\n",
      "Cbc0010I After 52264 nodes, 5570 on tree, 2356699.8 best solution, best possible 2358337.5 (217.39 seconds)\n",
      "Cbc0010I After 52418 nodes, 5604 on tree, 2356699.8 best solution, best possible 2358337.5 (218.09 seconds)\n",
      "Cbc0010I After 52533 nodes, 5624 on tree, 2356699.8 best solution, best possible 2358337.5 (218.79 seconds)\n",
      "Cbc0010I After 52685 nodes, 5656 on tree, 2356699.8 best solution, best possible 2358337.5 (219.50 seconds)\n",
      "Cbc0010I After 52823 nodes, 5686 on tree, 2356699.8 best solution, best possible 2358337.5 (220.21 seconds)\n",
      "Cbc0010I After 52975 nodes, 5707 on tree, 2356699.8 best solution, best possible 2358337.5 (220.91 seconds)\n",
      "Cbc0010I After 53192 nodes, 5702 on tree, 2356699.8 best solution, best possible 2358337.5 (221.61 seconds)\n",
      "Cbc0010I After 53363 nodes, 5683 on tree, 2356699.8 best solution, best possible 2358337.5 (222.31 seconds)\n",
      "Cbc0010I After 53603 nodes, 5689 on tree, 2356699.8 best solution, best possible 2358337.5 (223.01 seconds)\n",
      "Cbc0010I After 53815 nodes, 5663 on tree, 2356699.8 best solution, best possible 2358337.5 (223.72 seconds)\n",
      "Cbc0010I After 54003 nodes, 5651 on tree, 2356699.8 best solution, best possible 2358337.5 (224.43 seconds)\n",
      "Cbc0010I After 54139 nodes, 5672 on tree, 2356699.8 best solution, best possible 2358337.5 (225.14 seconds)\n",
      "Cbc0010I After 54255 nodes, 5691 on tree, 2356699.8 best solution, best possible 2358337.5 (225.85 seconds)\n",
      "Cbc0010I After 54372 nodes, 5726 on tree, 2356699.8 best solution, best possible 2358337.5 (226.56 seconds)\n",
      "Cbc0010I After 54517 nodes, 5754 on tree, 2356699.8 best solution, best possible 2358337.5 (227.26 seconds)\n",
      "Cbc0010I After 54618 nodes, 5782 on tree, 2356699.8 best solution, best possible 2358337.5 (227.97 seconds)\n",
      "Cbc0010I After 54716 nodes, 5792 on tree, 2356699.8 best solution, best possible 2358337.5 (228.67 seconds)\n",
      "Cbc0010I After 54849 nodes, 5819 on tree, 2356699.8 best solution, best possible 2358337.5 (229.37 seconds)\n",
      "Cbc0010I After 54950 nodes, 5840 on tree, 2356699.8 best solution, best possible 2358337.5 (230.07 seconds)\n",
      "Cbc0010I After 55069 nodes, 5850 on tree, 2356699.8 best solution, best possible 2358337.5 (230.77 seconds)\n",
      "Cbc0010I After 55174 nodes, 5874 on tree, 2356699.8 best solution, best possible 2358337.5 (231.47 seconds)\n",
      "Cbc0010I After 55275 nodes, 5887 on tree, 2356699.8 best solution, best possible 2358337.5 (232.18 seconds)\n",
      "Cbc0010I After 55361 nodes, 5894 on tree, 2356699.8 best solution, best possible 2358337.5 (232.89 seconds)\n",
      "Cbc0010I After 55438 nodes, 5914 on tree, 2356699.8 best solution, best possible 2358337.5 (233.60 seconds)\n",
      "Cbc0010I After 55530 nodes, 5929 on tree, 2356699.8 best solution, best possible 2358337.5 (234.30 seconds)\n",
      "Cbc0010I After 55648 nodes, 5945 on tree, 2356699.8 best solution, best possible 2358337.5 (235.00 seconds)\n",
      "Cbc0010I After 55798 nodes, 5967 on tree, 2356699.8 best solution, best possible 2358337.5 (235.71 seconds)\n",
      "Cbc0010I After 55903 nodes, 5981 on tree, 2356699.8 best solution, best possible 2358337.5 (236.41 seconds)\n",
      "Cbc0010I After 56026 nodes, 6014 on tree, 2356699.8 best solution, best possible 2358337.5 (237.11 seconds)\n",
      "Cbc0010I After 56105 nodes, 6040 on tree, 2356699.8 best solution, best possible 2358337.5 (237.81 seconds)\n",
      "Cbc0010I After 56196 nodes, 6078 on tree, 2356699.8 best solution, best possible 2358337.5 (238.53 seconds)\n",
      "Cbc0010I After 56328 nodes, 6117 on tree, 2356699.8 best solution, best possible 2358337.5 (239.23 seconds)\n",
      "Cbc0010I After 56451 nodes, 6149 on tree, 2356699.8 best solution, best possible 2358337.5 (239.93 seconds)\n",
      "Cbc0010I After 56561 nodes, 6172 on tree, 2356699.8 best solution, best possible 2358337.5 (240.64 seconds)\n",
      "Cbc0010I After 56686 nodes, 6204 on tree, 2356699.8 best solution, best possible 2358337.5 (241.34 seconds)\n",
      "Cbc0010I After 56797 nodes, 6234 on tree, 2356699.8 best solution, best possible 2358337.5 (242.06 seconds)\n",
      "Cbc0010I After 56878 nodes, 6255 on tree, 2356699.8 best solution, best possible 2358337.5 (242.77 seconds)\n",
      "Cbc0010I After 56975 nodes, 6291 on tree, 2356699.8 best solution, best possible 2358337.5 (243.49 seconds)\n",
      "Cbc0010I After 57152 nodes, 6272 on tree, 2356699.8 best solution, best possible 2358337.5 (244.19 seconds)\n",
      "Cbc0010I After 57300 nodes, 6250 on tree, 2356699.8 best solution, best possible 2358337.5 (244.89 seconds)\n",
      "Cbc0010I After 57467 nodes, 6247 on tree, 2356699.8 best solution, best possible 2358337.5 (245.60 seconds)\n",
      "Cbc0010I After 57619 nodes, 6233 on tree, 2356699.8 best solution, best possible 2358337.5 (246.31 seconds)\n",
      "Cbc0010I After 57836 nodes, 6219 on tree, 2356699.8 best solution, best possible 2358337.5 (247.01 seconds)\n",
      "Cbc0010I After 58022 nodes, 6201 on tree, 2356699.8 best solution, best possible 2358337.5 (247.71 seconds)\n",
      "Cbc0010I After 58134 nodes, 6224 on tree, 2356699.8 best solution, best possible 2358337.5 (248.41 seconds)\n",
      "Cbc0010I After 58257 nodes, 6248 on tree, 2356699.8 best solution, best possible 2358337.5 (249.12 seconds)\n",
      "Cbc0010I After 58398 nodes, 6294 on tree, 2356699.8 best solution, best possible 2358337.5 (249.83 seconds)\n",
      "Cbc0010I After 58577 nodes, 6336 on tree, 2356699.8 best solution, best possible 2358337.5 (250.53 seconds)\n",
      "Cbc0010I After 58743 nodes, 6385 on tree, 2356699.8 best solution, best possible 2358337.5 (251.24 seconds)\n",
      "Cbc0010I After 58935 nodes, 6416 on tree, 2356699.8 best solution, best possible 2358337.5 (251.94 seconds)\n",
      "Cbc0010I After 59073 nodes, 6452 on tree, 2356699.8 best solution, best possible 2358337.5 (252.64 seconds)\n",
      "Cbc0010I After 59252 nodes, 6470 on tree, 2356699.8 best solution, best possible 2358337.5 (253.34 seconds)\n",
      "Cbc0010I After 59405 nodes, 6496 on tree, 2356699.8 best solution, best possible 2358337.5 (254.04 seconds)\n",
      "Cbc0010I After 59557 nodes, 6514 on tree, 2356699.8 best solution, best possible 2358337.5 (254.76 seconds)\n",
      "Cbc0010I After 59739 nodes, 6569 on tree, 2356699.8 best solution, best possible 2358337.5 (255.46 seconds)\n",
      "Cbc0010I After 59879 nodes, 6605 on tree, 2356699.8 best solution, best possible 2358337.5 (256.17 seconds)\n",
      "Cbc0010I After 60037 nodes, 6617 on tree, 2356699.8 best solution, best possible 2358337.5 (256.87 seconds)\n",
      "Cbc0010I After 60215 nodes, 6652 on tree, 2356699.8 best solution, best possible 2358337.5 (257.58 seconds)\n",
      "Cbc0010I After 60385 nodes, 6668 on tree, 2356699.8 best solution, best possible 2358337.5 (258.29 seconds)\n",
      "Cbc0010I After 60602 nodes, 6714 on tree, 2356699.8 best solution, best possible 2358337.5 (258.99 seconds)\n",
      "Cbc0010I After 60778 nodes, 6755 on tree, 2356699.8 best solution, best possible 2358337.5 (259.70 seconds)\n",
      "Cbc0010I After 60973 nodes, 6787 on tree, 2356699.8 best solution, best possible 2358337.5 (260.41 seconds)\n",
      "Cbc0010I After 61179 nodes, 6810 on tree, 2356699.8 best solution, best possible 2358337.5 (261.11 seconds)\n",
      "Cbc0010I After 61300 nodes, 6785 on tree, 2356699.8 best solution, best possible 2358337.5 (261.82 seconds)\n",
      "Cbc0010I After 61392 nodes, 6785 on tree, 2356699.8 best solution, best possible 2358337.5 (262.52 seconds)\n",
      "Cbc0010I After 61585 nodes, 6800 on tree, 2356699.8 best solution, best possible 2358337.5 (263.22 seconds)\n",
      "Cbc0010I After 61757 nodes, 6781 on tree, 2356699.8 best solution, best possible 2358337.5 (263.92 seconds)\n",
      "Cbc0010I After 61901 nodes, 6783 on tree, 2356699.8 best solution, best possible 2358337.5 (264.62 seconds)\n",
      "Cbc0010I After 62032 nodes, 6773 on tree, 2356699.8 best solution, best possible 2358337.5 (265.33 seconds)\n",
      "Cbc0010I After 62180 nodes, 6790 on tree, 2356699.8 best solution, best possible 2358337.5 (266.03 seconds)\n",
      "Cbc0010I After 62289 nodes, 6820 on tree, 2356699.8 best solution, best possible 2358337.5 (266.74 seconds)\n",
      "Cbc0010I After 62454 nodes, 6869 on tree, 2356699.8 best solution, best possible 2358337.5 (267.44 seconds)\n",
      "Cbc0010I After 62586 nodes, 6891 on tree, 2356699.8 best solution, best possible 2358337.5 (268.15 seconds)\n",
      "Cbc0010I After 62720 nodes, 6910 on tree, 2356699.8 best solution, best possible 2358337.5 (268.85 seconds)\n",
      "Cbc0010I After 62857 nodes, 6927 on tree, 2356699.8 best solution, best possible 2358337.5 (269.55 seconds)\n",
      "Cbc0010I After 63058 nodes, 6941 on tree, 2356699.8 best solution, best possible 2358337.5 (270.25 seconds)\n",
      "Cbc0010I After 63228 nodes, 6966 on tree, 2356699.8 best solution, best possible 2358337.5 (270.96 seconds)\n",
      "Cbc0010I After 63398 nodes, 6994 on tree, 2356699.8 best solution, best possible 2358337.5 (271.66 seconds)\n",
      "Cbc0010I After 63531 nodes, 7024 on tree, 2356699.8 best solution, best possible 2358337.5 (272.37 seconds)\n",
      "Cbc0010I After 63621 nodes, 7038 on tree, 2356699.8 best solution, best possible 2358337.5 (273.07 seconds)\n",
      "Cbc0010I After 63753 nodes, 7068 on tree, 2356699.8 best solution, best possible 2358337.5 (273.79 seconds)\n",
      "Cbc0010I After 63872 nodes, 7104 on tree, 2356699.8 best solution, best possible 2358337.5 (274.49 seconds)\n",
      "Cbc0010I After 64008 nodes, 7125 on tree, 2356699.8 best solution, best possible 2358337.5 (275.20 seconds)\n",
      "Cbc0010I After 64174 nodes, 7143 on tree, 2356699.8 best solution, best possible 2358337.5 (275.90 seconds)\n",
      "Cbc0010I After 64326 nodes, 7172 on tree, 2356699.8 best solution, best possible 2358337.5 (276.62 seconds)\n",
      "Cbc0010I After 64511 nodes, 7220 on tree, 2356699.8 best solution, best possible 2358337.5 (277.34 seconds)\n",
      "Cbc0010I After 64643 nodes, 7246 on tree, 2356699.8 best solution, best possible 2358337.5 (278.04 seconds)\n",
      "Cbc0010I After 64802 nodes, 7272 on tree, 2356699.8 best solution, best possible 2358337.5 (278.74 seconds)\n",
      "Cbc0010I After 64940 nodes, 7316 on tree, 2356699.8 best solution, best possible 2358337.5 (279.45 seconds)\n",
      "Cbc0010I After 65115 nodes, 7318 on tree, 2356699.8 best solution, best possible 2358337.5 (280.15 seconds)\n",
      "Cbc0010I After 65287 nodes, 7300 on tree, 2356699.8 best solution, best possible 2358337.5 (280.85 seconds)\n",
      "Cbc0010I After 65435 nodes, 7276 on tree, 2356699.8 best solution, best possible 2358337.5 (281.55 seconds)\n",
      "Cbc0010I After 65594 nodes, 7248 on tree, 2356699.8 best solution, best possible 2358337.5 (282.25 seconds)\n",
      "Cbc0010I After 65823 nodes, 7243 on tree, 2356699.8 best solution, best possible 2358337.5 (282.96 seconds)\n",
      "Cbc0010I After 65960 nodes, 7207 on tree, 2356699.8 best solution, best possible 2358337.5 (283.66 seconds)\n",
      "Cbc0010I After 66103 nodes, 7215 on tree, 2356699.8 best solution, best possible 2358337.5 (284.36 seconds)\n",
      "Cbc0010I After 66291 nodes, 7262 on tree, 2356699.8 best solution, best possible 2358337.5 (285.07 seconds)\n",
      "Cbc0010I After 66430 nodes, 7285 on tree, 2356699.8 best solution, best possible 2358337.5 (285.77 seconds)\n",
      "Cbc0010I After 66558 nodes, 7315 on tree, 2356699.8 best solution, best possible 2358337.5 (286.47 seconds)\n",
      "Cbc0010I After 66671 nodes, 7336 on tree, 2356699.8 best solution, best possible 2358337.5 (287.18 seconds)\n",
      "Cbc0010I After 66788 nodes, 7350 on tree, 2356699.8 best solution, best possible 2358337.5 (287.88 seconds)\n",
      "Cbc0010I After 66936 nodes, 7360 on tree, 2356699.8 best solution, best possible 2358337.5 (288.58 seconds)\n",
      "Cbc0010I After 67067 nodes, 7374 on tree, 2356699.8 best solution, best possible 2358337.5 (289.29 seconds)\n",
      "Cbc0010I After 67272 nodes, 7401 on tree, 2356699.8 best solution, best possible 2358337.5 (290.00 seconds)\n",
      "Cbc0010I After 67410 nodes, 7416 on tree, 2356699.8 best solution, best possible 2358337.5 (290.70 seconds)\n",
      "Cbc0010I After 67583 nodes, 7447 on tree, 2356699.8 best solution, best possible 2358337.5 (291.40 seconds)\n",
      "Cbc0010I After 67700 nodes, 7476 on tree, 2356699.8 best solution, best possible 2358337.5 (292.11 seconds)\n",
      "Cbc0010I After 67855 nodes, 7496 on tree, 2356699.8 best solution, best possible 2358337.5 (292.81 seconds)\n",
      "Cbc0010I After 68039 nodes, 7531 on tree, 2356699.8 best solution, best possible 2358337.5 (293.51 seconds)\n",
      "Cbc0010I After 68213 nodes, 7562 on tree, 2356699.8 best solution, best possible 2358337.5 (294.22 seconds)\n",
      "Cbc0010I After 68331 nodes, 7594 on tree, 2356699.8 best solution, best possible 2358337.5 (294.93 seconds)\n",
      "Cbc0010I After 68479 nodes, 7621 on tree, 2356699.8 best solution, best possible 2358337.5 (295.63 seconds)\n",
      "Cbc0010I After 68634 nodes, 7657 on tree, 2356699.8 best solution, best possible 2358337.5 (296.33 seconds)\n",
      "Cbc0010I After 68763 nodes, 7680 on tree, 2356699.8 best solution, best possible 2358337.5 (297.03 seconds)\n",
      "Cbc0010I After 68901 nodes, 7725 on tree, 2356699.8 best solution, best possible 2358337.5 (297.73 seconds)\n",
      "Cbc0010I After 69064 nodes, 7769 on tree, 2356699.8 best solution, best possible 2358337.5 (298.43 seconds)\n",
      "Cbc0010I After 69208 nodes, 7745 on tree, 2356699.8 best solution, best possible 2358337.5 (299.14 seconds)\n",
      "Cbc0010I After 69369 nodes, 7741 on tree, 2356699.8 best solution, best possible 2358337.5 (299.84 seconds)\n",
      "Cbc0010I After 69578 nodes, 7709 on tree, 2356699.8 best solution, best possible 2358337.5 (300.55 seconds)\n",
      "Cbc0010I After 69807 nodes, 7695 on tree, 2356699.8 best solution, best possible 2358337.5 (301.25 seconds)\n",
      "Cbc0010I After 70010 nodes, 7707 on tree, 2356699.8 best solution, best possible 2358337.5 (301.95 seconds)\n",
      "Cbc0010I After 70148 nodes, 7731 on tree, 2356699.8 best solution, best possible 2358337.5 (302.66 seconds)\n",
      "Cbc0010I After 70317 nodes, 7753 on tree, 2356699.8 best solution, best possible 2358337.5 (303.36 seconds)\n",
      "Cbc0010I After 70438 nodes, 7784 on tree, 2356699.8 best solution, best possible 2358337.5 (304.06 seconds)\n",
      "Cbc0010I After 70580 nodes, 7816 on tree, 2356699.8 best solution, best possible 2358337.5 (304.77 seconds)\n",
      "Cbc0010I After 70679 nodes, 7846 on tree, 2356699.8 best solution, best possible 2358337.5 (305.48 seconds)\n",
      "Cbc0010I After 70814 nodes, 7876 on tree, 2356699.8 best solution, best possible 2358337.5 (306.19 seconds)\n",
      "Cbc0010I After 71002 nodes, 7888 on tree, 2356699.8 best solution, best possible 2358337.5 (306.89 seconds)\n",
      "Cbc0010I After 71178 nodes, 7919 on tree, 2356699.8 best solution, best possible 2358337.5 (307.59 seconds)\n",
      "Cbc0010I After 71343 nodes, 7929 on tree, 2356699.8 best solution, best possible 2358337.5 (308.29 seconds)\n",
      "Cbc0010I After 71495 nodes, 7953 on tree, 2356699.8 best solution, best possible 2358337.5 (309.01 seconds)\n",
      "Cbc0010I After 71629 nodes, 8005 on tree, 2356699.8 best solution, best possible 2358337.5 (309.73 seconds)\n",
      "Cbc0010I After 71727 nodes, 8042 on tree, 2356699.8 best solution, best possible 2358337.5 (310.43 seconds)\n",
      "Cbc0010I After 71828 nodes, 8069 on tree, 2356699.8 best solution, best possible 2358337.5 (311.13 seconds)\n",
      "Cbc0010I After 71969 nodes, 8098 on tree, 2356699.8 best solution, best possible 2358337.5 (311.84 seconds)\n",
      "Cbc0010I After 72130 nodes, 8126 on tree, 2356699.8 best solution, best possible 2358337.5 (312.54 seconds)\n",
      "Cbc0010I After 72308 nodes, 8154 on tree, 2356699.8 best solution, best possible 2358337.5 (313.24 seconds)\n",
      "Cbc0010I After 72469 nodes, 8185 on tree, 2356699.8 best solution, best possible 2358337.5 (313.95 seconds)\n",
      "Cbc0010I After 72582 nodes, 8226 on tree, 2356699.8 best solution, best possible 2358337.5 (314.65 seconds)\n",
      "Cbc0010I After 72721 nodes, 8264 on tree, 2356699.8 best solution, best possible 2358337.5 (315.35 seconds)\n",
      "Cbc0010I After 72895 nodes, 8298 on tree, 2356699.8 best solution, best possible 2358337.5 (316.06 seconds)\n",
      "Cbc0010I After 73123 nodes, 8301 on tree, 2356699.8 best solution, best possible 2358337.5 (316.76 seconds)\n",
      "Cbc0010I After 73325 nodes, 8298 on tree, 2356699.8 best solution, best possible 2358337.5 (317.46 seconds)\n",
      "Cbc0010I After 73567 nodes, 8303 on tree, 2356699.8 best solution, best possible 2358337.5 (318.16 seconds)\n",
      "Cbc0010I After 73692 nodes, 8286 on tree, 2356699.8 best solution, best possible 2358337.5 (318.88 seconds)\n",
      "Cbc0010I After 73956 nodes, 8297 on tree, 2356699.8 best solution, best possible 2358337.5 (319.58 seconds)\n",
      "Cbc0010I After 74114 nodes, 8318 on tree, 2356699.8 best solution, best possible 2358337.5 (320.29 seconds)\n",
      "Cbc0010I After 74237 nodes, 8354 on tree, 2356699.8 best solution, best possible 2358337.5 (320.99 seconds)\n",
      "Cbc0010I After 74348 nodes, 8398 on tree, 2356699.8 best solution, best possible 2358337.5 (321.70 seconds)\n",
      "Cbc0010I After 74459 nodes, 8428 on tree, 2356699.8 best solution, best possible 2358337.5 (322.40 seconds)\n",
      "Cbc0010I After 74592 nodes, 8466 on tree, 2356699.8 best solution, best possible 2358337.5 (323.10 seconds)\n",
      "Cbc0010I After 74724 nodes, 8510 on tree, 2356699.8 best solution, best possible 2358337.5 (323.81 seconds)\n",
      "Cbc0010I After 74836 nodes, 8528 on tree, 2356699.8 best solution, best possible 2358337.5 (324.51 seconds)\n",
      "Cbc0010I After 75010 nodes, 8553 on tree, 2356699.8 best solution, best possible 2358337.5 (325.21 seconds)\n",
      "Cbc0010I After 75155 nodes, 8567 on tree, 2356699.8 best solution, best possible 2358337.5 (325.93 seconds)\n",
      "Cbc0010I After 75274 nodes, 8607 on tree, 2356699.8 best solution, best possible 2358337.5 (326.63 seconds)\n",
      "Cbc0010I After 75404 nodes, 8629 on tree, 2356699.8 best solution, best possible 2358337.5 (327.34 seconds)\n",
      "Cbc0010I After 75521 nodes, 8668 on tree, 2356699.8 best solution, best possible 2358337.5 (328.04 seconds)\n",
      "Cbc0010I After 75692 nodes, 8700 on tree, 2356699.8 best solution, best possible 2358337.5 (328.74 seconds)\n",
      "Cbc0010I After 75844 nodes, 8729 on tree, 2356699.8 best solution, best possible 2358337.5 (329.44 seconds)\n",
      "Cbc0010I After 75986 nodes, 8752 on tree, 2356699.8 best solution, best possible 2358337.5 (330.16 seconds)\n",
      "Cbc0010I After 76194 nodes, 8777 on tree, 2356699.8 best solution, best possible 2358337.5 (330.86 seconds)\n",
      "Cbc0010I After 76374 nodes, 8796 on tree, 2356699.8 best solution, best possible 2358337.5 (331.57 seconds)\n",
      "Cbc0010I After 76541 nodes, 8819 on tree, 2356699.8 best solution, best possible 2358337.5 (332.27 seconds)\n",
      "Cbc0010I After 76692 nodes, 8840 on tree, 2356699.8 best solution, best possible 2358337.5 (332.97 seconds)\n",
      "Cbc0010I After 76904 nodes, 8872 on tree, 2356699.8 best solution, best possible 2358337.5 (333.67 seconds)\n",
      "Cbc0010I After 77191 nodes, 8885 on tree, 2356699.8 best solution, best possible 2358337.5 (334.37 seconds)\n",
      "Cbc0010I After 77472 nodes, 8868 on tree, 2356699.8 best solution, best possible 2358337.5 (335.08 seconds)\n",
      "Cbc0010I After 77721 nodes, 8875 on tree, 2356699.8 best solution, best possible 2358337.5 (335.78 seconds)\n",
      "Cbc0010I After 77901 nodes, 8866 on tree, 2356699.8 best solution, best possible 2358337.5 (336.49 seconds)\n",
      "Cbc0010I After 78035 nodes, 8870 on tree, 2356699.8 best solution, best possible 2358337.5 (337.19 seconds)\n",
      "Cbc0010I After 78193 nodes, 8902 on tree, 2356699.8 best solution, best possible 2358337.5 (337.89 seconds)\n",
      "Cbc0010I After 78358 nodes, 8931 on tree, 2356699.8 best solution, best possible 2358337.5 (338.59 seconds)\n",
      "Cbc0010I After 78506 nodes, 8939 on tree, 2356699.8 best solution, best possible 2358337.5 (339.29 seconds)\n",
      "Cbc0010I After 78670 nodes, 8976 on tree, 2356699.8 best solution, best possible 2358337.5 (339.99 seconds)\n",
      "Cbc0010I After 78838 nodes, 9011 on tree, 2356699.8 best solution, best possible 2358337.5 (340.69 seconds)\n",
      "Cbc0010I After 78980 nodes, 9025 on tree, 2356699.8 best solution, best possible 2358337.5 (341.39 seconds)\n",
      "Cbc0010I After 79178 nodes, 9054 on tree, 2356699.8 best solution, best possible 2358337.5 (342.10 seconds)\n",
      "Cbc0010I After 79379 nodes, 9094 on tree, 2356699.8 best solution, best possible 2358337.5 (342.80 seconds)\n",
      "Cbc0010I After 79535 nodes, 9109 on tree, 2356699.8 best solution, best possible 2358337.5 (343.51 seconds)\n",
      "Cbc0010I After 79693 nodes, 9124 on tree, 2356699.8 best solution, best possible 2358337.5 (344.26 seconds)\n",
      "Cbc0010I After 79816 nodes, 9134 on tree, 2356699.8 best solution, best possible 2358337.5 (344.96 seconds)\n",
      "Cbc0010I After 80013 nodes, 9173 on tree, 2356699.8 best solution, best possible 2358337.5 (345.67 seconds)\n",
      "Cbc0010I After 80226 nodes, 9198 on tree, 2356699.8 best solution, best possible 2358337.5 (346.37 seconds)\n",
      "Cbc0010I After 80460 nodes, 9225 on tree, 2356699.8 best solution, best possible 2358337.5 (347.07 seconds)\n",
      "Cbc0010I After 80697 nodes, 9256 on tree, 2356699.8 best solution, best possible 2358337.5 (347.78 seconds)\n",
      "Cbc0010I After 80911 nodes, 9285 on tree, 2356699.8 best solution, best possible 2358337.5 (348.48 seconds)\n",
      "Cbc0010I After 81122 nodes, 9286 on tree, 2356699.8 best solution, best possible 2358337.5 (349.19 seconds)\n",
      "Cbc0010I After 81319 nodes, 9270 on tree, 2356699.8 best solution, best possible 2358337.5 (349.89 seconds)\n",
      "Cbc0010I After 81527 nodes, 9267 on tree, 2356699.8 best solution, best possible 2358337.5 (350.59 seconds)\n",
      "Cbc0010I After 81773 nodes, 9276 on tree, 2356699.8 best solution, best possible 2358337.5 (351.29 seconds)\n",
      "Cbc0010I After 81999 nodes, 9278 on tree, 2356699.8 best solution, best possible 2358337.5 (351.99 seconds)\n",
      "Cbc0010I After 82139 nodes, 9299 on tree, 2356699.8 best solution, best possible 2358337.5 (352.70 seconds)\n",
      "Cbc0010I After 82293 nodes, 9326 on tree, 2356699.8 best solution, best possible 2358337.5 (353.40 seconds)\n",
      "Cbc0010I After 82462 nodes, 9341 on tree, 2356699.8 best solution, best possible 2358337.5 (354.10 seconds)\n",
      "Cbc0010I After 82603 nodes, 9347 on tree, 2356699.8 best solution, best possible 2358337.5 (354.80 seconds)\n",
      "Cbc0010I After 82743 nodes, 9367 on tree, 2356699.8 best solution, best possible 2358337.5 (355.50 seconds)\n",
      "Cbc0010I After 82898 nodes, 9381 on tree, 2356699.8 best solution, best possible 2358337.5 (356.21 seconds)\n",
      "Cbc0010I After 83058 nodes, 9413 on tree, 2356699.8 best solution, best possible 2358337.5 (356.91 seconds)\n",
      "Cbc0010I After 83279 nodes, 9439 on tree, 2356699.8 best solution, best possible 2358337.5 (357.61 seconds)\n",
      "Cbc0010I After 83467 nodes, 9470 on tree, 2356699.8 best solution, best possible 2358337.5 (358.31 seconds)\n",
      "Cbc0010I After 83677 nodes, 9497 on tree, 2356699.8 best solution, best possible 2358337.5 (359.02 seconds)\n",
      "Cbc0010I After 83879 nodes, 9504 on tree, 2356699.8 best solution, best possible 2358337.5 (359.72 seconds)\n",
      "Cbc0010I After 84054 nodes, 9530 on tree, 2356699.8 best solution, best possible 2358337.5 (360.42 seconds)\n",
      "Cbc0010I After 84186 nodes, 9557 on tree, 2356699.8 best solution, best possible 2358337.5 (361.12 seconds)\n",
      "Cbc0010I After 84332 nodes, 9589 on tree, 2356699.8 best solution, best possible 2358337.5 (361.83 seconds)\n",
      "Cbc0010I After 84481 nodes, 9609 on tree, 2356699.8 best solution, best possible 2358337.5 (362.53 seconds)\n",
      "Cbc0010I After 84617 nodes, 9648 on tree, 2356699.8 best solution, best possible 2358337.5 (363.24 seconds)\n",
      "Cbc0010I After 84759 nodes, 9678 on tree, 2356699.8 best solution, best possible 2358337.5 (363.95 seconds)\n",
      "Cbc0010I After 84885 nodes, 9708 on tree, 2356699.8 best solution, best possible 2358337.5 (364.65 seconds)\n",
      "Cbc0010I After 85032 nodes, 9720 on tree, 2356699.8 best solution, best possible 2358337.5 (365.36 seconds)\n",
      "Cbc0010I After 85151 nodes, 9716 on tree, 2356699.8 best solution, best possible 2358337.5 (366.06 seconds)\n",
      "Cbc0010I After 85393 nodes, 9722 on tree, 2356699.8 best solution, best possible 2358337.5 (366.76 seconds)\n",
      "Cbc0010I After 85600 nodes, 9750 on tree, 2356699.8 best solution, best possible 2358337.5 (367.48 seconds)\n",
      "Cbc0010I After 85789 nodes, 9734 on tree, 2356699.8 best solution, best possible 2358337.5 (368.18 seconds)\n",
      "Cbc0010I After 85994 nodes, 9727 on tree, 2356699.8 best solution, best possible 2358337.5 (368.88 seconds)\n",
      "Cbc0010I After 86180 nodes, 9742 on tree, 2356699.8 best solution, best possible 2358337.5 (369.59 seconds)\n",
      "Cbc0010I After 86376 nodes, 9767 on tree, 2356699.8 best solution, best possible 2358337.5 (370.29 seconds)\n",
      "Cbc0010I After 86558 nodes, 9784 on tree, 2356699.8 best solution, best possible 2358337.5 (371.00 seconds)\n",
      "Cbc0010I After 86694 nodes, 9799 on tree, 2356699.8 best solution, best possible 2358337.5 (371.70 seconds)\n",
      "Cbc0010I After 86843 nodes, 9820 on tree, 2356699.8 best solution, best possible 2358337.5 (372.40 seconds)\n",
      "Cbc0010I After 86977 nodes, 9847 on tree, 2356699.8 best solution, best possible 2358337.5 (373.12 seconds)\n",
      "Cbc0010I After 87119 nodes, 9880 on tree, 2356699.8 best solution, best possible 2358337.5 (373.82 seconds)\n",
      "Cbc0010I After 87221 nodes, 9909 on tree, 2356699.8 best solution, best possible 2358337.5 (374.53 seconds)\n",
      "Cbc0010I After 87359 nodes, 9937 on tree, 2356699.8 best solution, best possible 2358337.5 (375.23 seconds)\n",
      "Cbc0010I After 87512 nodes, 9968 on tree, 2356699.8 best solution, best possible 2358337.5 (375.93 seconds)\n",
      "Cbc0010I After 87677 nodes, 9981 on tree, 2356699.8 best solution, best possible 2358337.5 (376.64 seconds)\n",
      "Cbc0010I After 87834 nodes, 9999 on tree, 2356699.8 best solution, best possible 2358337.5 (377.34 seconds)\n",
      "Cbc0010I After 87991 nodes, 10017 on tree, 2356699.8 best solution, best possible 2358337.5 (378.04 seconds)\n",
      "Cbc0010I After 88202 nodes, 10006 on tree, 2356699.8 best solution, best possible 2358337.5 (378.74 seconds)\n",
      "Cbc0010I After 88365 nodes, 9995 on tree, 2356699.8 best solution, best possible 2358337.5 (379.45 seconds)\n",
      "Cbc0010I After 88530 nodes, 9970 on tree, 2356699.8 best solution, best possible 2358337.5 (380.15 seconds)\n",
      "Cbc0010I After 88671 nodes, 9950 on tree, 2356699.8 best solution, best possible 2358337.5 (380.85 seconds)\n",
      "Cbc0010I After 88827 nodes, 9936 on tree, 2356699.8 best solution, best possible 2358337.5 (381.55 seconds)\n",
      "Cbc0010I After 88991 nodes, 9921 on tree, 2356699.8 best solution, best possible 2358337.5 (382.25 seconds)\n",
      "Cbc0010I After 89185 nodes, 9919 on tree, 2356699.8 best solution, best possible 2358337.5 (382.95 seconds)\n",
      "Cbc0010I After 89334 nodes, 9909 on tree, 2356699.8 best solution, best possible 2358337.5 (383.65 seconds)\n",
      "Cbc0010I After 89503 nodes, 9911 on tree, 2356699.8 best solution, best possible 2358337.5 (384.37 seconds)\n",
      "Cbc0010I After 89643 nodes, 9901 on tree, 2356699.8 best solution, best possible 2358337.5 (385.07 seconds)\n",
      "Cbc0010I After 89876 nodes, 9886 on tree, 2356699.8 best solution, best possible 2358337.5 (385.77 seconds)\n",
      "Cbc0010I After 90035 nodes, 9881 on tree, 2356699.8 best solution, best possible 2358337.5 (386.47 seconds)\n",
      "Cbc0010I After 90119 nodes, 9888 on tree, 2356699.8 best solution, best possible 2358337.5 (387.17 seconds)\n",
      "Cbc0010I After 90213 nodes, 9901 on tree, 2356699.8 best solution, best possible 2358337.5 (387.88 seconds)\n",
      "Cbc0010I After 90336 nodes, 9911 on tree, 2356699.8 best solution, best possible 2358337.5 (388.58 seconds)\n",
      "Cbc0010I After 90419 nodes, 9920 on tree, 2356699.8 best solution, best possible 2358337.5 (389.28 seconds)\n",
      "Cbc0010I After 90525 nodes, 9945 on tree, 2356699.8 best solution, best possible 2358337.5 (389.99 seconds)\n",
      "Cbc0010I After 90626 nodes, 9972 on tree, 2356699.8 best solution, best possible 2358337.5 (390.69 seconds)\n",
      "Cbc0010I After 90739 nodes, 9996 on tree, 2356699.8 best solution, best possible 2358337.5 (391.39 seconds)\n",
      "Cbc0010I After 90849 nodes, 10028 on tree, 2356699.8 best solution, best possible 2358337.5 (392.10 seconds)\n",
      "Cbc0010I After 91001 nodes, 10058 on tree, 2356699.8 best solution, best possible 2358337.5 (392.80 seconds)\n",
      "Cbc0010I After 91139 nodes, 10053 on tree, 2356699.8 best solution, best possible 2358337.5 (393.51 seconds)\n",
      "Cbc0010I After 91303 nodes, 10060 on tree, 2356699.8 best solution, best possible 2358337.5 (394.22 seconds)\n",
      "Cbc0010I After 91452 nodes, 10067 on tree, 2356699.8 best solution, best possible 2358337.5 (394.92 seconds)\n",
      "Cbc0010I After 91568 nodes, 10066 on tree, 2356699.8 best solution, best possible 2358337.5 (395.63 seconds)\n",
      "Cbc0010I After 91733 nodes, 10053 on tree, 2356699.8 best solution, best possible 2358337.5 (396.34 seconds)\n",
      "Cbc0010I After 91881 nodes, 10045 on tree, 2356699.8 best solution, best possible 2358337.5 (397.04 seconds)\n",
      "Cbc0010I After 92034 nodes, 10031 on tree, 2356699.8 best solution, best possible 2358337.5 (397.74 seconds)\n",
      "Cbc0010I After 92230 nodes, 10019 on tree, 2356699.8 best solution, best possible 2358337.5 (398.44 seconds)\n",
      "Cbc0010I After 92395 nodes, 10007 on tree, 2356699.8 best solution, best possible 2358337.5 (399.15 seconds)\n",
      "Cbc0010I After 92586 nodes, 10000 on tree, 2356699.8 best solution, best possible 2358337.5 (399.85 seconds)\n",
      "Cbc0010I After 92771 nodes, 9989 on tree, 2356699.8 best solution, best possible 2358337.5 (400.55 seconds)\n",
      "Cbc0010I After 92929 nodes, 9981 on tree, 2356699.8 best solution, best possible 2358337.5 (401.25 seconds)\n",
      "Cbc0010I After 93090 nodes, 9988 on tree, 2356699.8 best solution, best possible 2358337.5 (401.95 seconds)\n",
      "Cbc0010I After 93266 nodes, 9968 on tree, 2356699.8 best solution, best possible 2358337.5 (402.65 seconds)\n",
      "Cbc0010I After 93431 nodes, 9973 on tree, 2356699.8 best solution, best possible 2358337.5 (403.35 seconds)\n",
      "Cbc0010I After 93559 nodes, 9958 on tree, 2356699.8 best solution, best possible 2358337.5 (404.06 seconds)\n",
      "Cbc0010I After 93727 nodes, 9950 on tree, 2356699.8 best solution, best possible 2358337.5 (404.76 seconds)\n",
      "Cbc0010I After 93896 nodes, 9943 on tree, 2356699.8 best solution, best possible 2358337.5 (405.47 seconds)\n",
      "Cbc0010I After 94037 nodes, 9940 on tree, 2356699.8 best solution, best possible 2358337.5 (406.17 seconds)\n",
      "Cbc0010I After 94201 nodes, 9962 on tree, 2356699.8 best solution, best possible 2358337.5 (406.87 seconds)\n",
      "Cbc0010I After 94396 nodes, 9988 on tree, 2356699.8 best solution, best possible 2358337.5 (407.58 seconds)\n",
      "Cbc0010I After 94516 nodes, 10014 on tree, 2356699.8 best solution, best possible 2358337.5 (408.28 seconds)\n",
      "Cbc0010I After 94645 nodes, 10036 on tree, 2356699.8 best solution, best possible 2358337.5 (408.99 seconds)\n",
      "Cbc0010I After 94783 nodes, 10057 on tree, 2356699.8 best solution, best possible 2358337.5 (409.69 seconds)\n",
      "Cbc0010I After 94915 nodes, 10065 on tree, 2356699.8 best solution, best possible 2358337.5 (410.40 seconds)\n",
      "Cbc0010I After 95056 nodes, 10083 on tree, 2356699.8 best solution, best possible 2358337.5 (411.10 seconds)\n",
      "Cbc0010I After 95185 nodes, 10080 on tree, 2356699.8 best solution, best possible 2358337.5 (411.81 seconds)\n",
      "Cbc0010I After 95321 nodes, 10087 on tree, 2356699.8 best solution, best possible 2358337.5 (412.52 seconds)\n",
      "Cbc0010I After 95475 nodes, 10109 on tree, 2356699.8 best solution, best possible 2358337.5 (413.22 seconds)\n",
      "Cbc0010I After 95628 nodes, 10126 on tree, 2356699.8 best solution, best possible 2358337.5 (413.92 seconds)\n",
      "Cbc0010I After 95759 nodes, 10138 on tree, 2356699.8 best solution, best possible 2358337.5 (414.62 seconds)\n",
      "Cbc0010I After 95908 nodes, 10131 on tree, 2356699.8 best solution, best possible 2358337.5 (415.32 seconds)\n",
      "Cbc0010I After 96051 nodes, 10116 on tree, 2356699.8 best solution, best possible 2358337.5 (416.03 seconds)\n",
      "Cbc0010I After 96255 nodes, 10101 on tree, 2356699.8 best solution, best possible 2358337.5 (416.73 seconds)\n",
      "Cbc0010I After 96388 nodes, 10098 on tree, 2356699.8 best solution, best possible 2358337.5 (417.43 seconds)\n",
      "Cbc0010I After 96534 nodes, 10086 on tree, 2356699.8 best solution, best possible 2358337.5 (418.13 seconds)\n",
      "Cbc0010I After 96658 nodes, 10082 on tree, 2356699.8 best solution, best possible 2358337.5 (418.84 seconds)\n",
      "Cbc0010I After 96852 nodes, 10075 on tree, 2356699.8 best solution, best possible 2358337.5 (419.54 seconds)\n",
      "Cbc0010I After 97021 nodes, 10066 on tree, 2356699.8 best solution, best possible 2358337.5 (420.24 seconds)\n",
      "Cbc0010I After 97216 nodes, 10056 on tree, 2356699.8 best solution, best possible 2358337.5 (420.94 seconds)\n",
      "Cbc0010I After 97416 nodes, 10041 on tree, 2356699.8 best solution, best possible 2358337.5 (421.65 seconds)\n",
      "Cbc0010I After 97582 nodes, 10027 on tree, 2356699.8 best solution, best possible 2358337.5 (422.36 seconds)\n",
      "Cbc0010I After 97815 nodes, 10039 on tree, 2356699.8 best solution, best possible 2358337.5 (423.06 seconds)\n",
      "Cbc0010I After 97942 nodes, 10034 on tree, 2356699.8 best solution, best possible 2358337.5 (423.76 seconds)\n",
      "Cbc0010I After 98031 nodes, 10033 on tree, 2356699.8 best solution, best possible 2358337.5 (424.47 seconds)\n",
      "Cbc0010I After 98135 nodes, 10021 on tree, 2356699.8 best solution, best possible 2358337.5 (425.19 seconds)\n",
      "Cbc0010I After 98223 nodes, 10019 on tree, 2356699.8 best solution, best possible 2358337.5 (425.90 seconds)\n",
      "Cbc0010I After 98324 nodes, 10020 on tree, 2356699.8 best solution, best possible 2358337.5 (426.60 seconds)\n",
      "Cbc0010I After 98445 nodes, 10024 on tree, 2356699.8 best solution, best possible 2358337.5 (427.30 seconds)\n",
      "Cbc0010I After 98557 nodes, 10020 on tree, 2356699.8 best solution, best possible 2358337.5 (428.00 seconds)\n",
      "Cbc0010I After 98672 nodes, 10023 on tree, 2356699.8 best solution, best possible 2358337.5 (428.70 seconds)\n",
      "Cbc0010I After 98832 nodes, 10024 on tree, 2356699.8 best solution, best possible 2358337.5 (429.41 seconds)\n",
      "Cbc0010I After 98934 nodes, 10024 on tree, 2356699.8 best solution, best possible 2358337.5 (430.12 seconds)\n",
      "Cbc0010I After 99056 nodes, 10029 on tree, 2356699.8 best solution, best possible 2358337.5 (430.83 seconds)\n",
      "Cbc0010I After 99185 nodes, 10079 on tree, 2356699.8 best solution, best possible 2358337.5 (431.53 seconds)\n",
      "Cbc0010I After 99325 nodes, 10072 on tree, 2356699.8 best solution, best possible 2358337.5 (432.24 seconds)\n",
      "Cbc0010I After 99465 nodes, 10090 on tree, 2356699.8 best solution, best possible 2358337.5 (432.95 seconds)\n",
      "Cbc0010I After 99609 nodes, 10087 on tree, 2356699.8 best solution, best possible 2358337.5 (433.65 seconds)\n",
      "Cbc0010I After 99762 nodes, 10101 on tree, 2356699.8 best solution, best possible 2358337.5 (434.35 seconds)\n",
      "Cbc0010I After 99910 nodes, 10094 on tree, 2356699.8 best solution, best possible 2358337.5 (435.05 seconds)\n",
      "Cbc0010I After 100041 nodes, 10087 on tree, 2356699.8 best solution, best possible 2358337.5 (435.75 seconds)\n",
      "Cbc0010I After 100263 nodes, 10059 on tree, 2356699.8 best solution, best possible 2358337.5 (436.46 seconds)\n",
      "Cbc0010I After 100411 nodes, 10051 on tree, 2356699.8 best solution, best possible 2358337.5 (437.16 seconds)\n",
      "Cbc0010I After 100589 nodes, 10043 on tree, 2356699.8 best solution, best possible 2358337.5 (437.86 seconds)\n",
      "Cbc0010I After 100707 nodes, 10042 on tree, 2356699.8 best solution, best possible 2358337.5 (438.57 seconds)\n",
      "Cbc0010I After 100888 nodes, 10033 on tree, 2356699.8 best solution, best possible 2358337.5 (439.27 seconds)\n",
      "Cbc0010I After 101004 nodes, 10028 on tree, 2356699.8 best solution, best possible 2358337.5 (439.98 seconds)\n",
      "Cbc0010I After 101113 nodes, 10052 on tree, 2356699.8 best solution, best possible 2358337.5 (440.68 seconds)\n",
      "Cbc0010I After 101240 nodes, 10055 on tree, 2356699.8 best solution, best possible 2358337.5 (441.39 seconds)\n",
      "Cbc0010I After 101383 nodes, 10084 on tree, 2356699.8 best solution, best possible 2358337.5 (442.09 seconds)\n",
      "Cbc0010I After 101534 nodes, 10108 on tree, 2356699.8 best solution, best possible 2358337.5 (442.79 seconds)\n",
      "Cbc0010I After 101638 nodes, 10112 on tree, 2356699.8 best solution, best possible 2358337.5 (443.50 seconds)\n",
      "Cbc0010I After 101834 nodes, 10144 on tree, 2356699.8 best solution, best possible 2358337.5 (444.21 seconds)\n",
      "Cbc0010I After 102030 nodes, 10173 on tree, 2356699.8 best solution, best possible 2358337.5 (444.91 seconds)\n",
      "Cbc0010I After 102170 nodes, 10161 on tree, 2356699.8 best solution, best possible 2358337.5 (445.61 seconds)\n",
      "Cbc0010I After 102377 nodes, 10157 on tree, 2356699.8 best solution, best possible 2358337.5 (446.31 seconds)\n",
      "Cbc0010I After 102566 nodes, 10135 on tree, 2356699.8 best solution, best possible 2358337.5 (447.01 seconds)\n",
      "Cbc0010I After 102771 nodes, 10104 on tree, 2356699.8 best solution, best possible 2358337.5 (447.72 seconds)\n",
      "Cbc0010I After 102913 nodes, 10118 on tree, 2356699.8 best solution, best possible 2358337.5 (448.42 seconds)\n",
      "Cbc0010I After 103079 nodes, 10140 on tree, 2356699.8 best solution, best possible 2358337.5 (449.12 seconds)\n",
      "Cbc0010I After 103181 nodes, 10134 on tree, 2356699.8 best solution, best possible 2358337.5 (449.83 seconds)\n",
      "Cbc0010I After 103245 nodes, 10143 on tree, 2356699.8 best solution, best possible 2358337.5 (450.53 seconds)\n",
      "Cbc0010I After 103393 nodes, 10151 on tree, 2356699.8 best solution, best possible 2358337.5 (451.23 seconds)\n",
      "Cbc0010I After 103543 nodes, 10148 on tree, 2356699.8 best solution, best possible 2358337.5 (451.94 seconds)\n",
      "Cbc0010I After 103706 nodes, 10156 on tree, 2356699.8 best solution, best possible 2358337.5 (452.64 seconds)\n",
      "Cbc0010I After 103875 nodes, 10146 on tree, 2356699.8 best solution, best possible 2358337.5 (453.35 seconds)\n",
      "Cbc0010I After 104037 nodes, 10139 on tree, 2356699.8 best solution, best possible 2358337.5 (454.05 seconds)\n",
      "Cbc0010I After 104299 nodes, 10110 on tree, 2356699.8 best solution, best possible 2358337.5 (454.75 seconds)\n",
      "Cbc0010I After 104421 nodes, 10092 on tree, 2356699.8 best solution, best possible 2358337.5 (455.45 seconds)\n",
      "Cbc0010I After 104541 nodes, 10081 on tree, 2356699.8 best solution, best possible 2358337.5 (456.16 seconds)\n",
      "Cbc0010I After 104669 nodes, 10092 on tree, 2356699.8 best solution, best possible 2358337.5 (456.86 seconds)\n",
      "Cbc0010I After 104826 nodes, 10086 on tree, 2356699.8 best solution, best possible 2358337.5 (457.56 seconds)\n",
      "Cbc0010I After 104932 nodes, 10092 on tree, 2356699.8 best solution, best possible 2358337.5 (458.27 seconds)\n",
      "Cbc0010I After 105077 nodes, 10079 on tree, 2356699.8 best solution, best possible 2358337.5 (458.97 seconds)\n",
      "Cbc0010I After 105154 nodes, 10094 on tree, 2356699.8 best solution, best possible 2358337.5 (459.67 seconds)\n",
      "Cbc0010I After 105329 nodes, 10112 on tree, 2356699.8 best solution, best possible 2358337.5 (460.37 seconds)\n",
      "Cbc0010I After 105476 nodes, 10135 on tree, 2356699.8 best solution, best possible 2358337.5 (461.09 seconds)\n",
      "Cbc0010I After 105601 nodes, 10161 on tree, 2356699.8 best solution, best possible 2358337.5 (461.79 seconds)\n",
      "Cbc0010I After 105699 nodes, 10192 on tree, 2356699.8 best solution, best possible 2358337.5 (462.49 seconds)\n",
      "Cbc0010I After 105799 nodes, 10214 on tree, 2356699.8 best solution, best possible 2358337.5 (463.21 seconds)\n",
      "Cbc0010I After 105919 nodes, 10227 on tree, 2356699.8 best solution, best possible 2358337.5 (463.91 seconds)\n",
      "Cbc0010I After 106056 nodes, 10243 on tree, 2356699.8 best solution, best possible 2358337.5 (464.62 seconds)\n",
      "Cbc0010I After 106201 nodes, 10243 on tree, 2356699.8 best solution, best possible 2358337.5 (465.32 seconds)\n",
      "Cbc0010I After 106354 nodes, 10263 on tree, 2356699.8 best solution, best possible 2358337.5 (466.02 seconds)\n",
      "Cbc0010I After 106526 nodes, 10271 on tree, 2356699.8 best solution, best possible 2358337.5 (466.72 seconds)\n",
      "Cbc0010I After 106690 nodes, 10277 on tree, 2356699.8 best solution, best possible 2358337.5 (467.42 seconds)\n",
      "Cbc0010I After 106882 nodes, 10267 on tree, 2356699.8 best solution, best possible 2358337.5 (468.13 seconds)\n",
      "Cbc0010I After 107085 nodes, 10262 on tree, 2356699.8 best solution, best possible 2358337.5 (468.84 seconds)\n",
      "Cbc0010I After 107273 nodes, 10271 on tree, 2356699.8 best solution, best possible 2358337.5 (469.54 seconds)\n",
      "Cbc0010I After 107459 nodes, 10245 on tree, 2356699.8 best solution, best possible 2358337.5 (470.24 seconds)\n",
      "Cbc0010I After 107621 nodes, 10233 on tree, 2356699.8 best solution, best possible 2358337.5 (470.94 seconds)\n",
      "Cbc0010I After 107818 nodes, 10233 on tree, 2356699.8 best solution, best possible 2358337.5 (471.64 seconds)\n",
      "Cbc0010I After 107923 nodes, 10239 on tree, 2356699.8 best solution, best possible 2358337.5 (472.34 seconds)\n",
      "Cbc0010I After 108083 nodes, 10228 on tree, 2356699.8 best solution, best possible 2358337.5 (473.04 seconds)\n",
      "Cbc0010I After 108298 nodes, 10201 on tree, 2356699.8 best solution, best possible 2358337.5 (473.75 seconds)\n",
      "Cbc0010I After 108469 nodes, 10198 on tree, 2356699.8 best solution, best possible 2358337.5 (474.45 seconds)\n",
      "Cbc0010I After 108662 nodes, 10177 on tree, 2356699.8 best solution, best possible 2358337.5 (475.16 seconds)\n",
      "Cbc0010I After 108864 nodes, 10165 on tree, 2356699.8 best solution, best possible 2358337.5 (475.87 seconds)\n",
      "Cbc0010I After 109021 nodes, 10168 on tree, 2356699.8 best solution, best possible 2358337.5 (476.57 seconds)\n",
      "Cbc0010I After 109175 nodes, 10181 on tree, 2356699.8 best solution, best possible 2358337.5 (477.27 seconds)\n",
      "Cbc0010I After 109295 nodes, 10213 on tree, 2356699.8 best solution, best possible 2358337.5 (477.99 seconds)\n",
      "Cbc0010I After 109417 nodes, 10244 on tree, 2356699.8 best solution, best possible 2358337.5 (478.70 seconds)\n",
      "Cbc0010I After 109558 nodes, 10276 on tree, 2356699.8 best solution, best possible 2358337.5 (479.40 seconds)\n",
      "Cbc0010I After 109676 nodes, 10312 on tree, 2356699.8 best solution, best possible 2358337.5 (480.12 seconds)\n",
      "Cbc0010I After 109795 nodes, 10337 on tree, 2356699.8 best solution, best possible 2358337.5 (480.82 seconds)\n",
      "Cbc0010I After 109905 nodes, 10360 on tree, 2356699.8 best solution, best possible 2358337.5 (481.52 seconds)\n",
      "Cbc0010I After 110047 nodes, 10373 on tree, 2356699.8 best solution, best possible 2358337.5 (482.23 seconds)\n",
      "Cbc0010I After 110214 nodes, 10369 on tree, 2356699.8 best solution, best possible 2358337.5 (482.93 seconds)\n",
      "Cbc0010I After 110387 nodes, 10372 on tree, 2356699.8 best solution, best possible 2358337.5 (483.63 seconds)\n",
      "Cbc0010I After 110519 nodes, 10378 on tree, 2356699.8 best solution, best possible 2358337.5 (484.33 seconds)\n",
      "Cbc0010I After 110693 nodes, 10389 on tree, 2356699.8 best solution, best possible 2358337.5 (485.04 seconds)\n",
      "Cbc0010I After 110863 nodes, 10414 on tree, 2356699.8 best solution, best possible 2358337.5 (485.74 seconds)\n",
      "Cbc0010I After 111003 nodes, 10398 on tree, 2356699.8 best solution, best possible 2358337.5 (486.44 seconds)\n",
      "Cbc0010I After 111139 nodes, 10397 on tree, 2356699.8 best solution, best possible 2358337.5 (487.15 seconds)\n",
      "Cbc0010I After 111296 nodes, 10411 on tree, 2356699.8 best solution, best possible 2358337.5 (487.85 seconds)\n",
      "Cbc0010I After 111443 nodes, 10406 on tree, 2356699.8 best solution, best possible 2358337.5 (488.55 seconds)\n",
      "Cbc0010I After 111628 nodes, 10398 on tree, 2356699.8 best solution, best possible 2358337.5 (489.26 seconds)\n",
      "Cbc0010I After 111825 nodes, 10395 on tree, 2356699.8 best solution, best possible 2358337.5 (489.96 seconds)\n",
      "Cbc0010I After 112007 nodes, 10386 on tree, 2356699.8 best solution, best possible 2358337.5 (490.66 seconds)\n",
      "Cbc0010I After 112267 nodes, 10357 on tree, 2356699.8 best solution, best possible 2358337.5 (491.36 seconds)\n",
      "Cbc0010I After 112457 nodes, 10351 on tree, 2356699.8 best solution, best possible 2358337.5 (492.07 seconds)\n",
      "Cbc0010I After 112675 nodes, 10332 on tree, 2356699.8 best solution, best possible 2358337.5 (492.77 seconds)\n",
      "Cbc0010I After 112879 nodes, 10315 on tree, 2356699.8 best solution, best possible 2358337.5 (493.48 seconds)\n",
      "Cbc0010I After 113041 nodes, 10300 on tree, 2356699.8 best solution, best possible 2358337.5 (494.18 seconds)\n",
      "Cbc0010I After 113131 nodes, 10326 on tree, 2356699.8 best solution, best possible 2358337.5 (494.89 seconds)\n",
      "Cbc0010I After 113225 nodes, 10350 on tree, 2356699.8 best solution, best possible 2358337.5 (495.61 seconds)\n",
      "Cbc0010I After 113318 nodes, 10374 on tree, 2356699.8 best solution, best possible 2358337.5 (496.32 seconds)\n",
      "Cbc0010I After 113454 nodes, 10393 on tree, 2356699.8 best solution, best possible 2358337.5 (497.02 seconds)\n",
      "Cbc0010I After 113550 nodes, 10410 on tree, 2356699.8 best solution, best possible 2358337.5 (497.72 seconds)\n",
      "Cbc0010I After 113647 nodes, 10432 on tree, 2356699.8 best solution, best possible 2358337.5 (498.44 seconds)\n",
      "Cbc0010I After 113716 nodes, 10453 on tree, 2356699.8 best solution, best possible 2358337.5 (499.14 seconds)\n",
      "Cbc0010I After 113829 nodes, 10478 on tree, 2356699.8 best solution, best possible 2358337.5 (499.84 seconds)\n",
      "Cbc0010I After 114016 nodes, 10526 on tree, 2356699.8 best solution, best possible 2358337.5 (500.54 seconds)\n",
      "Cbc0010I After 114147 nodes, 10525 on tree, 2356699.8 best solution, best possible 2358337.5 (501.25 seconds)\n",
      "Cbc0010I After 114355 nodes, 10526 on tree, 2356699.8 best solution, best possible 2358337.5 (501.96 seconds)\n",
      "Cbc0010I After 114559 nodes, 10505 on tree, 2356699.8 best solution, best possible 2358337.5 (502.66 seconds)\n",
      "Cbc0010I After 114780 nodes, 10494 on tree, 2356699.8 best solution, best possible 2358337.5 (503.36 seconds)\n",
      "Cbc0010I After 114987 nodes, 10487 on tree, 2356699.8 best solution, best possible 2358337.5 (504.06 seconds)\n",
      "Cbc0010I After 115125 nodes, 10493 on tree, 2356699.8 best solution, best possible 2358337.5 (504.76 seconds)\n",
      "Cbc0010I After 115263 nodes, 10501 on tree, 2356699.8 best solution, best possible 2358337.5 (505.47 seconds)\n",
      "Cbc0010I After 115444 nodes, 10496 on tree, 2356699.8 best solution, best possible 2358337.5 (506.17 seconds)\n",
      "Cbc0010I After 115609 nodes, 10486 on tree, 2356699.8 best solution, best possible 2358337.5 (506.87 seconds)\n",
      "Cbc0010I After 115784 nodes, 10525 on tree, 2356699.8 best solution, best possible 2358337.5 (507.57 seconds)\n",
      "Cbc0010I After 115968 nodes, 10507 on tree, 2356699.8 best solution, best possible 2358337.5 (508.27 seconds)\n",
      "Cbc0010I After 116237 nodes, 10486 on tree, 2356699.8 best solution, best possible 2358337.5 (508.97 seconds)\n",
      "Cbc0010I After 116461 nodes, 10472 on tree, 2356699.8 best solution, best possible 2358337.5 (509.69 seconds)\n",
      "Cbc0010I After 116674 nodes, 10465 on tree, 2356699.8 best solution, best possible 2358337.5 (510.39 seconds)\n",
      "Cbc0010I After 116853 nodes, 10466 on tree, 2356699.8 best solution, best possible 2358337.5 (511.10 seconds)\n",
      "Cbc0010I After 117054 nodes, 10483 on tree, 2356699.8 best solution, best possible 2358337.5 (511.80 seconds)\n",
      "Cbc0010I After 117164 nodes, 10507 on tree, 2356699.8 best solution, best possible 2358337.5 (512.51 seconds)\n",
      "Cbc0010I After 117328 nodes, 10533 on tree, 2356699.8 best solution, best possible 2358337.5 (513.22 seconds)\n",
      "Cbc0010I After 117494 nodes, 10570 on tree, 2356699.8 best solution, best possible 2358337.5 (513.92 seconds)\n",
      "Cbc0010I After 117642 nodes, 10598 on tree, 2356699.8 best solution, best possible 2358337.5 (514.63 seconds)\n",
      "Cbc0010I After 117815 nodes, 10629 on tree, 2356699.8 best solution, best possible 2358337.5 (515.34 seconds)\n",
      "Cbc0010I After 117941 nodes, 10659 on tree, 2356699.8 best solution, best possible 2358337.5 (516.04 seconds)\n",
      "Cbc0010I After 118067 nodes, 10680 on tree, 2356699.8 best solution, best possible 2358337.5 (516.75 seconds)\n",
      "Cbc0010I After 118281 nodes, 10690 on tree, 2356699.8 best solution, best possible 2358337.5 (517.45 seconds)\n",
      "Cbc0010I After 118445 nodes, 10698 on tree, 2356699.8 best solution, best possible 2358337.5 (518.15 seconds)\n",
      "Cbc0010I After 118630 nodes, 10716 on tree, 2356699.8 best solution, best possible 2358337.5 (518.86 seconds)\n",
      "Cbc0010I After 118790 nodes, 10719 on tree, 2356699.8 best solution, best possible 2358337.5 (519.56 seconds)\n",
      "Cbc0010I After 118993 nodes, 10714 on tree, 2356699.8 best solution, best possible 2358337.5 (520.26 seconds)\n",
      "Cbc0010I After 119220 nodes, 10718 on tree, 2356699.8 best solution, best possible 2358337.5 (520.96 seconds)\n",
      "Cbc0010I After 119426 nodes, 10696 on tree, 2356699.8 best solution, best possible 2358337.5 (521.66 seconds)\n",
      "Cbc0010I After 119652 nodes, 10685 on tree, 2356699.8 best solution, best possible 2358337.5 (522.36 seconds)\n",
      "Cbc0010I After 119854 nodes, 10663 on tree, 2356699.8 best solution, best possible 2358337.5 (523.07 seconds)\n",
      "Cbc0004I Integer solution of 2357501.6 found after 6029648 iterations and 120005 nodes (523.73 seconds)\n",
      "Cbc0010I After 120012 nodes, 7916 on tree, 2357501.6 best solution, best possible 2358337.5 (523.77 seconds)\n",
      "Cbc0010I After 120131 nodes, 7916 on tree, 2357501.6 best solution, best possible 2358337.5 (524.48 seconds)\n",
      "Cbc0010I After 120244 nodes, 7904 on tree, 2357501.6 best solution, best possible 2358337.5 (525.18 seconds)\n",
      "Cbc0010I After 120402 nodes, 7872 on tree, 2357501.6 best solution, best possible 2358337.5 (525.89 seconds)\n",
      "Cbc0010I After 120566 nodes, 7879 on tree, 2357501.6 best solution, best possible 2358337.5 (526.59 seconds)\n",
      "Cbc0010I After 120714 nodes, 7859 on tree, 2357501.6 best solution, best possible 2358337.5 (527.29 seconds)\n",
      "Cbc0010I After 120887 nodes, 7846 on tree, 2357501.6 best solution, best possible 2358337.5 (527.99 seconds)\n",
      "Cbc0010I After 121042 nodes, 7837 on tree, 2357501.6 best solution, best possible 2358337.5 (528.70 seconds)\n",
      "Cbc0010I After 121221 nodes, 7827 on tree, 2357501.6 best solution, best possible 2358337.5 (529.40 seconds)\n",
      "Cbc0010I After 121396 nodes, 7827 on tree, 2357501.6 best solution, best possible 2358337.5 (530.11 seconds)\n",
      "Cbc0010I After 121554 nodes, 7815 on tree, 2357501.6 best solution, best possible 2358337.5 (530.81 seconds)\n",
      "Cbc0010I After 121683 nodes, 7799 on tree, 2357501.6 best solution, best possible 2358337.5 (531.52 seconds)\n",
      "Cbc0010I After 121893 nodes, 7791 on tree, 2357501.6 best solution, best possible 2358337.5 (532.22 seconds)\n",
      "Cbc0010I After 122071 nodes, 7794 on tree, 2357501.6 best solution, best possible 2358337.5 (532.92 seconds)\n",
      "Cbc0010I After 122194 nodes, 7816 on tree, 2357501.6 best solution, best possible 2358337.5 (533.62 seconds)\n",
      "Cbc0010I After 122307 nodes, 7830 on tree, 2357501.6 best solution, best possible 2358337.5 (534.33 seconds)\n",
      "Cbc0010I After 122473 nodes, 7835 on tree, 2357501.6 best solution, best possible 2358337.5 (535.03 seconds)\n",
      "Cbc0010I After 122622 nodes, 7863 on tree, 2357501.6 best solution, best possible 2358337.5 (535.74 seconds)\n",
      "Cbc0010I After 122735 nodes, 7877 on tree, 2357501.6 best solution, best possible 2358337.5 (536.45 seconds)\n",
      "Cbc0010I After 122891 nodes, 7896 on tree, 2357501.6 best solution, best possible 2358337.5 (537.15 seconds)\n",
      "Cbc0010I After 123013 nodes, 7904 on tree, 2357501.6 best solution, best possible 2358337.5 (537.86 seconds)\n",
      "Cbc0010I After 123105 nodes, 7912 on tree, 2357501.6 best solution, best possible 2358337.5 (538.57 seconds)\n",
      "Cbc0010I After 123194 nodes, 7930 on tree, 2357501.6 best solution, best possible 2358337.5 (539.28 seconds)\n",
      "Cbc0010I After 123319 nodes, 7941 on tree, 2357501.6 best solution, best possible 2358337.5 (539.98 seconds)\n",
      "Cbc0010I After 123477 nodes, 7966 on tree, 2357501.6 best solution, best possible 2358337.5 (540.69 seconds)\n",
      "Cbc0010I After 123674 nodes, 7995 on tree, 2357501.6 best solution, best possible 2358337.5 (541.39 seconds)\n",
      "Cbc0010I After 123784 nodes, 8023 on tree, 2357501.6 best solution, best possible 2358337.5 (542.09 seconds)\n",
      "Cbc0010I After 123919 nodes, 8044 on tree, 2357501.6 best solution, best possible 2358337.5 (542.80 seconds)\n",
      "Cbc0010I After 124004 nodes, 8060 on tree, 2357501.6 best solution, best possible 2358337.5 (543.50 seconds)\n",
      "Cbc0010I After 124192 nodes, 8082 on tree, 2357501.6 best solution, best possible 2358337.5 (544.20 seconds)\n",
      "Cbc0010I After 124370 nodes, 8122 on tree, 2357501.6 best solution, best possible 2358337.5 (544.90 seconds)\n",
      "Cbc0010I After 124473 nodes, 8133 on tree, 2357501.6 best solution, best possible 2358337.5 (545.60 seconds)\n",
      "Cbc0010I After 124614 nodes, 8159 on tree, 2357501.6 best solution, best possible 2358337.5 (546.30 seconds)\n",
      "Cbc0010I After 124731 nodes, 8178 on tree, 2357501.6 best solution, best possible 2358337.5 (547.01 seconds)\n",
      "Cbc0010I After 124858 nodes, 8195 on tree, 2357501.6 best solution, best possible 2358337.5 (547.71 seconds)\n",
      "Cbc0010I After 124982 nodes, 8216 on tree, 2357501.6 best solution, best possible 2358337.5 (548.41 seconds)\n",
      "Cbc0010I After 125154 nodes, 8218 on tree, 2357501.6 best solution, best possible 2358337.5 (549.12 seconds)\n",
      "Cbc0010I After 125318 nodes, 8229 on tree, 2357501.6 best solution, best possible 2358337.5 (549.83 seconds)\n",
      "Cbc0010I After 125489 nodes, 8217 on tree, 2357501.6 best solution, bestCPU times: user 9min 41s, sys: 15.2 s, total: 9min 56s\n",
      "Wall time: 10min\n",
      "\n",
      "Optimization status: OptimizationStatus.FEASIBLE\n",
      "Optimal solution: 2357501.639989425\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2357066.9429236925\n",
      "goodness: 0.018442287650653064\n",
      "CPU times: user 6.81 s, sys: 253 ms, total: 7.06 s\n",
      "Wall time: 7.15 s\n",
      "\n",
      "Optimization status: OptimizationStatus.OPTIMAL\n",
      "Optimal solution: 9415090.927371463\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "9414476.549923249\n",
      "goodness: 0.006525880063073998\n"
     ]
    }
   ],
   "source": [
    "test(1)\n",
    "test(2)\n",
    "test(3)\n",
    "test(4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " possible 2358337.5 (550.53 seconds)\n",
      "Cbc0010I After 125641 nodes, 8208 on tree, 2357501.6 best solution, best possible 2358337.5 (551.25 seconds)\n",
      "Cbc0010I After 125860 nodes, 8202 on tree, 2357501.6 best solution, best possible 2358337.5 (551.95 seconds)\n",
      "Cbc0010I After 126049 nodes, 8189 on tree, 2357501.6 best solution, best possible 2358337.5 (552.65 seconds)\n",
      "Cbc0010I After 126172 nodes, 8198 on tree, 2357501.6 best solution, best possible 2358337.5 (553.36 seconds)\n",
      "Cbc0010I After 126296 nodes, 8203 on tree, 2357501.6 best solution, best possible 2358337.5 (554.06 seconds)\n",
      "Cbc0010I After 126428 nodes, 8208 on tree, 2357501.6 best solution, best possible 2358337.5 (554.77 seconds)\n",
      "Cbc0010I After 126529 nodes, 8224 on tree, 2357501.6 best solution, best possible 2358337.5 (555.47 seconds)\n",
      "Cbc0010I After 126698 nodes, 8227 on tree, 2357501.6 best solution, best possible 2358337.5 (556.17 seconds)\n",
      "Cbc0010I After 126804 nodes, 8241 on tree, 2357501.6 best solution, best possible 2358337.5 (556.88 seconds)\n",
      "Cbc0010I After 126922 nodes, 8238 on tree, 2357501.6 best solution, best possible 2358337.5 (557.60 seconds)\n",
      "Cbc0010I After 127041 nodes, 8255 on tree, 2357501.6 best solution, best possible 2358337.5 (558.30 seconds)\n",
      "Cbc0010I After 127156 nodes, 8266 on tree, 2357501.6 best solution, best possible 2358337.5 (559.00 seconds)\n",
      "Cbc0010I After 127265 nodes, 8275 on tree, 2357501.6 best solution, best possible 2358337.5 (559.71 seconds)\n",
      "Cbc0010I After 127433 nodes, 8295 on tree, 2357501.6 best solution, best possible 2358337.5 (560.41 seconds)\n",
      "Cbc0010I After 127607 nodes, 8316 on tree, 2357501.6 best solution, best possible 2358337.5 (561.11 seconds)\n",
      "Cbc0010I After 127746 nodes, 8332 on tree, 2357501.6 best solution, best possible 2358337.5 (561.81 seconds)\n",
      "Cbc0010I After 127869 nodes, 8347 on tree, 2357501.6 best solution, best possible 2358337.5 (562.52 seconds)\n",
      "Cbc0010I After 128043 nodes, 8361 on tree, 2357501.6 best solution, best possible 2358337.5 (563.22 seconds)\n",
      "Cbc0010I After 128216 nodes, 8379 on tree, 2357501.6 best solution, best possible 2358337.5 (563.92 seconds)\n",
      "Cbc0010I After 128357 nodes, 8403 on tree, 2357501.6 best solution, best possible 2358337.5 (564.63 seconds)\n",
      "Cbc0010I After 128537 nodes, 8420 on tree, 2357501.6 best solution, best possible 2358337.5 (565.36 seconds)\n",
      "Cbc0010I After 128713 nodes, 8437 on tree, 2357501.6 best solution, best possible 2358337.5 (566.06 seconds)\n",
      "Cbc0010I After 128916 nodes, 8442 on tree, 2357501.6 best solution, best possible 2358337.5 (566.76 seconds)\n",
      "Cbc0010I After 129149 nodes, 8427 on tree, 2357501.6 best solution, best possible 2358337.5 (567.46 seconds)\n",
      "Cbc0010I After 129286 nodes, 8421 on tree, 2357501.6 best solution, best possible 2358337.5 (568.16 seconds)\n",
      "Cbc0010I After 129438 nodes, 8402 on tree, 2357501.6 best solution, best possible 2358337.5 (568.86 seconds)\n",
      "Cbc0010I After 129637 nodes, 8399 on tree, 2357501.6 best solution, best possible 2358337.5 (569.56 seconds)\n",
      "Cbc0010I After 129808 nodes, 8410 on tree, 2357501.6 best solution, best possible 2358337.5 (570.26 seconds)\n",
      "Cbc0010I After 129941 nodes, 8403 on tree, 2357501.6 best solution, best possible 2358337.5 (570.97 seconds)\n",
      "Cbc0010I After 130137 nodes, 8423 on tree, 2357501.6 best solution, best possible 2358337.5 (571.67 seconds)\n",
      "Cbc0010I After 130373 nodes, 8424 on tree, 2357501.6 best solution, best possible 2358337.5 (572.38 seconds)\n",
      "Cbc0010I After 130564 nodes, 8428 on tree, 2357501.6 best solution, best possible 2358337.5 (573.08 seconds)\n",
      "Cbc0010I After 130797 nodes, 8442 on tree, 2357501.6 best solution, best possible 2358337.5 (573.78 seconds)\n",
      "Cbc0010I After 131026 nodes, 8465 on tree, 2357501.6 best solution, best possible 2358337.5 (574.48 seconds)\n",
      "Cbc0010I After 131237 nodes, 8480 on tree, 2357501.6 best solution, best possible 2358337.5 (575.18 seconds)\n",
      "Cbc0010I After 131403 nodes, 8481 on tree, 2357501.6 best solution, best possible 2358337.5 (575.88 seconds)\n",
      "Cbc0010I After 131509 nodes, 8494 on tree, 2357501.6 best solution, best possible 2358337.5 (576.58 seconds)\n",
      "Cbc0010I After 131594 nodes, 8515 on tree, 2357501.6 best solution, best possible 2358337.5 (577.29 seconds)\n",
      "Cbc0010I After 131753 nodes, 8557 on tree, 2357501.6 best solution, best possible 2358337.5 (577.99 seconds)\n",
      "Cbc0010I After 131916 nodes, 8600 on tree, 2357501.6 best solution, best possible 2358337.5 (578.69 seconds)\n",
      "Cbc0010I After 132007 nodes, 8615 on tree, 2357501.6 best solution, best possible 2358337.5 (579.42 seconds)\n",
      "Cbc0010I After 132149 nodes, 8640 on tree, 2357501.6 best solution, best possible 2358337.5 (580.12 seconds)\n",
      "Cbc0010I After 132355 nodes, 8660 on tree, 2357501.6 best solution, best possible 2358337.5 (580.82 seconds)\n",
      "Cbc0010I After 132488 nodes, 8699 on tree, 2357501.6 best solution, best possible 2358337.5 (581.53 seconds)\n",
      "Cbc0010I After 132668 nodes, 8731 on tree, 2357501.6 best solution, best possible 2358337.5 (582.23 seconds)\n",
      "Cbc0010I After 132801 nodes, 8759 on tree, 2357501.6 best solution, best possible 2358337.5 (582.93 seconds)\n",
      "Cbc0010I After 132970 nodes, 8785 on tree, 2357501.6 best solution, best possible 2358337.5 (583.64 seconds)\n",
      "Cbc0010I After 133133 nodes, 8779 on tree, 2357501.6 best solution, best possible 2358337.5 (584.35 seconds)\n",
      "Cbc0010I After 133313 nodes, 8780 on tree, 2357501.6 best solution, best possible 2358337.5 (585.05 seconds)\n",
      "Cbc0010I After 133536 nodes, 8777 on tree, 2357501.6 best solution, best possible 2358337.5 (585.76 seconds)\n",
      "Cbc0010I After 133736 nodes, 8777 on tree, 2357501.6 best solution, best possible 2358337.5 (586.47 seconds)\n",
      "Cbc0010I After 133933 nodes, 8742 on tree, 2357501.6 best solution, best possible 2358337.5 (587.17 seconds)\n",
      "Cbc0010I After 134123 nodes, 8756 on tree, 2357501.6 best solution, best possible 2358337.5 (587.87 seconds)\n",
      "Cbc0010I After 134257 nodes, 8796 on tree, 2357501.6 best solution, best possible 2358337.5 (588.67 seconds)\n",
      "Cbc0010I After 134379 nodes, 8814 on tree, 2357501.6 best solution, best possible 2358337.5 (589.37 seconds)\n",
      "Cbc0010I After 134538 nodes, 8840 on tree, 2357501.6 best solution, best possible 2358337.5 (590.09 seconds)\n",
      "Cbc0010I After 134725 nodes, 8876 on tree, 2357501.6 best solution, best possible 2358337.5 (590.80 seconds)\n",
      "Cbc0010I After 134901 nodes, 8908 on tree, 2357501.6 best solution, best possible 2358337.5 (591.50 seconds)\n",
      "Cbc0010I After 135011 nodes, 8930 on tree, 2357501.6 best solution, best possible 2358337.5 (592.20 seconds)\n",
      "Cbc0010I After 135176 nodes, 8960 on tree, 2357501.6 best solution, best possible 2358337.5 (592.91 seconds)\n",
      "Cbc0010I After 135360 nodes, 8993 on tree, 2357501.6 best solution, best possible 2358337.5 (593.61 seconds)\n",
      "Cbc0010I After 135517 nodes, 9030 on tree, 2357501.6 best solution, best possible 2358337.5 (594.31 seconds)\n",
      "Cbc0010I After 135683 nodes, 9065 on tree, 2357501.6 best solution, best possible 2358337.5 (595.01 seconds)\n",
      "Cbc0010I After 135866 nodes, 9096 on tree, 2357501.6 best solution, best possible 2358337.5 (595.71 seconds)\n",
      "Cbc0010I After 136057 nodes, 9121 on tree, 2357501.6 best solution, best possible 2358337.5 (596.42 seconds)\n",
      "Cbc0010I After 136243 nodes, 9143 on tree, 2357501.6 best solution, best possible 2358337.5 (597.13 seconds)\n",
      "Cbc0010I After 136462 nodes, 9172 on tree, 2357501.6 best solution, best possible 2358337.5 (597.83 seconds)\n",
      "Cbc0010I After 136620 nodes, 9190 on tree, 2357501.6 best solution, best possible 2358337.5 (598.54 seconds)\n",
      "Cbc0010I After 136828 nodes, 9217 on tree, 2357501.6 best solution, best possible 2358337.5 (599.24 seconds)\n",
      "Cbc0010I After 137022 nodes, 9223 on tree, 2357501.6 best solution, best possible 2358337.5 (599.95 seconds)\n",
      "Cbc0020I Exiting on maximum time\n",
      "Cbc0005I Partial search - best objective 2357501.6 (best possible 2358337.5), took 6874354 iterations and 137032 nodes (600.05 seconds)\n",
      "Cbc0032I Strong branching done 155146 times (6403995 iterations), fathomed 11435 nodes and fixed 24212 variables\n",
      "Cbc0035I Maximum depth 119, 0 variables fixed on reduced cost\n",
      "Cbc0038I Initial state - 81 integers unsatisfied sum - 20.3573\n",
      "Cbc0038I Pass   1: (0.31 seconds) suminf.    0.00000 (0) obj. 6.56644e+06 iterations 884\n",
      "Cbc0038I Solution found of 6.56644e+06\n",
      "Cbc0038I Relaxing continuous gives 6.98064e+06\n",
      "Cbc0038I Before mini branch and bound, 3217 integers at bound fixed and 2433 continuous\n",
      "Cbc0038I Full problem 5266 rows 5800 columns, reduced to 152 rows 132 columns\n",
      "Cbc0038I Mini branch and bound improved solution from 6.98064e+06 to 9.17928e+06 (0.45 seconds)\n",
      "Cbc0038I Freeing continuous variables gives a solution of 9.18095e+06\n",
      "Cbc0038I Round again with cutoff of 9.20436e+06\n",
      "Cbc0038I Pass   2: (0.61 seconds) suminf.    6.06164 (26) obj. 9.20436e+06 iterations 649\n",
      "Cbc0038I Pass   3: (0.66 seconds) suminf.    2.51531 (15) obj. 9.20436e+06 iterations 443\n",
      "Cbc0038I Pass   4: (0.68 seconds) suminf.    2.51531 (15) obj. 9.20436e+06 iterations 46\n",
      "Cbc0038I Pass   5: (0.74 seconds) suminf.    2.05810 (11) obj. 9.20436e+06 iterations 424\n",
      "Cbc0038I Pass   6: (0.75 seconds) suminf.    2.05365 (10) obj. 9.20436e+06 iterations 19\n",
      "Cbc0038I Pass   7: (0.79 seconds) suminf.    1.89812 (8) obj. 9.20436e+06 iterations 229\n",
      "Cbc0038I Pass   8: (0.80 seconds) suminf.    1.48551 (6) obj. 9.20436e+06 iterations 71\n",
      "Cbc0038I Pass   9: (0.82 seconds) suminf.    1.43535 (6) obj. 9.20436e+06 iterations 111\n",
      "Cbc0038I Pass  10: (0.84 seconds) suminf.    1.34000 (6) obj. 9.20436e+06 iterations 66\n",
      "Cbc0038I Pass  11: (0.86 seconds) suminf.    1.76425 (6) obj. 9.20436e+06 iterations 123\n",
      "Cbc0038I Pass  12: (1.01 seconds) suminf.   19.24015 (90) obj. 9.20436e+06 iterations 1199\n",
      "Cbc0038I Pass  13: (1.11 seconds) suminf.    3.07337 (13) obj. 9.20436e+06 iterations 782\n",
      "Cbc0038I Pass  14: (1.13 seconds) suminf.    1.98052 (11) obj. 9.20436e+06 iterations 133\n",
      "Cbc0038I Pass  15: (1.15 seconds) suminf.    2.00000 (6) obj. 9.20436e+06 iterations 106\n",
      "Cbc0038I Pass  16: (1.16 seconds) suminf.    1.71426 (7) obj. 9.20436e+06 iterations 61\n",
      "Cbc0038I Pass  17: (1.18 seconds) suminf.    1.00000 (5) obj. 9.20436e+06 iterations 61\n",
      "Cbc0038I Pass  18: (1.19 seconds) suminf.    0.81885 (6) obj. 9.20436e+06 iterations 49\n",
      "Cbc0038I Pass  19: (1.20 seconds) suminf.    1.00000 (6) obj. 9.20436e+06 iterations 63\n",
      "Cbc0038I Pass  20: (1.34 seconds) suminf.   33.81002 (129) obj. 9.20436e+06 iterations 1144\n",
      "Cbc0038I Pass  21: (1.43 seconds) suminf.    4.22487 (20) obj. 9.20436e+06 iterations 596\n",
      "Cbc0038I Pass  22: (1.45 seconds) suminf.    3.62562 (16) obj. 9.20436e+06 iterations 162\n",
      "Cbc0038I Pass  23: (1.48 seconds) suminf.    2.15992 (12) obj. 9.20436e+06 iterations 172\n",
      "Cbc0038I Pass  24: (1.49 seconds) suminf.    1.54338 (12) obj. 9.20436e+06 iterations 78\n",
      "Cbc0038I Pass  25: (1.50 seconds) suminf.    2.45052 (11) obj. 9.20436e+06 iterations 97\n",
      "Cbc0038I Pass  26: (1.52 seconds) suminf.    2.04779 (9) obj. 9.20436e+06 iterations 107\n",
      "Cbc0038I Pass  27: (1.54 seconds) suminf.    2.46413 (9) obj. 9.20436e+06 iterations 128\n",
      "Cbc0038I Pass  28: (1.55 seconds) suminf.    2.20634 (9) obj. 9.20436e+06 iterations 58\n",
      "Cbc0038I Pass  29: (1.56 seconds) suminf.    2.10489 (9) obj. 9.20436e+06 iterations 28\n",
      "Cbc0038I Pass  30: (1.59 seconds) suminf.    2.68438 (12) obj. 9.20436e+06 iterations 200\n",
      "Cbc0038I Pass  31: (1.60 seconds) suminf.    2.57117 (14) obj. 9.20436e+06 iterations 33\n",
      "Cbc0038I No solution found this major pass\n",
      "Cbc0038I Before mini branch and bound, 2969 integers at bound fixed and 2235 continuous\n",
      "Cbc0038I Full problem 5266 rows 5800 columns, reduced to 687 rows 585 columns\n",
      "Cbc0038I Mini branch and bound did not improve solution (2.10 seconds)\n",
      "Cbc0038I After 2.10 seconds - Feasibility pump exiting with objective of 9.18095e+06 - took 1.82 seconds\n",
      "Cbc0012I Integer solution of 9180948.6 found by feasibility pump after 0 iterations and 0 nodes (2.13 seconds)\n",
      "Cbc0038I Full problem 5266 rows 5800 columns, reduced to 167 rows 154 columns\n",
      "Cbc0012I Integer solution of 9330734 found by DiveCoefficient after 1571 iterations and 0 nodes (3.98 seconds)\n",
      "Cbc0031I 18 added rows had average density of 61.888889\n",
      "Cbc0013I At root node, 18 cuts changed objective from 9415090.9 to 9415090.9 in 10 passes\n",
      "Cbc0014I Cut generator 0 (Probing) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 0.574 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 1 (Gomory) - 18 row cuts average 170.7 elements, 0 column cuts (0 active)  in 0.098 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 2 (Knapsack) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 0.068 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 3 (Clique) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 0.001 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 4 (OddWheel) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 0.003 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 5 (MixedIntegerRounding2) - 223 row cuts average 77.1 elements, 0 column cuts (0 active)  in 0.043 seconds - new frequency is 1\n",
      "Cbc0014I Cut generator 6 (FlowCover) - 112 row cuts average 24.0 elements, 0 column cuts (0 active)  in 0.010 seconds - new frequency is 1\n",
      "Cbc0014I Cut generator 7 (TwoMirCuts) - 45 row cuts average 160.0 elements, 0 column cuts (0 active)  in 0.069 seconds - new frequency is -100\n",
      "Cbc0010I After 0 nodes, 1 on tree, 9330734 best solution, best possible 9415090.9 (4.26 seconds)\n",
      "Cbc0010I After 3 nodes, 4 on tree, 9330734 best solution, best possible 9415090.9 (5.09 seconds)\n",
      "Cbc0010I After 10 nodes, 10 on tree, 9330734 best solution, best possible 9415090.9 (5.84 seconds)\n",
      "Cbc0010I After 17 nodes, 14 on tree, 9330734 best solution, best possible 9415090.9 (6.67 seconds)\n",
      "Cbc0004I Integer solution of 9415090.9 found after 1798 iterations and 18 nodes (6.71 seconds)\n",
      "Cbc0001I Search completed - best objective 9415090.927371463, took 1798 iterations and 18 nodes (6.71 seconds)\n",
      "Cbc0032I Strong branching done 268 times (11466 iterations), fathomed 0 nodes and fixed 0 variables\n",
      "Cbc0035I Maximum depth 13, 0 variables fixed on reduced cost\n",
      "Cbc0038I Initial state - 127 integers unsatisfied sum - 32.3746\n",
      "Cbc0038I Pass   1: (0.58 seconds) suminf.    0.00000 (0) obj. 4.04396e+06 iterations 1292\n",
      "Cbc0038I Solution found of 4.04396e+06\n",
      "Cbc0038I Relaxing continuous gives 4.06656e+06\n",
      "Cbc0038I Before mini branch and bound, 6031 integers at bound fixed and 4795 continuous\n",
      "Cbc0038I Full problem 10168 rows 11060 columns, reduced to 251 rows 214 columns\n",
      "Cbc0038I Mini branch and bound improved solution from 4.06656e+06 to 5.63541e+06 (0.89 seconds)\n",
      "Cbc0038I Freeing continuous variables gives a solution of 5.63541e+06\n",
      "Cbc0038I Round again with cutoff of 5.65223e+06\n",
      "Cbc0038I Pass   2: (1.19 seconds) suminf.    5.23805 (34) obj. 5.65223e+06 iterations 820\n",
      "Cbc0038I Pass   3: (1.31 seconds) suminf.    2.56444 (18) obj. 5.65223e+06 iterations 742\n",
      "Cbc0038I Pass   4: (1.34 seconds) suminf.    1.67463 (15) obj. 5.65223e+06 iterations 138\n",
      "Cbc0038I Pass   5: (1.41 seconds) suminf.    2.33157 (10) obj. 5.65223e+06 iterations 392\n",
      "Cbc0038I Pass   6: (1.43 seconds) suminf.    1.51660 (7) obj. 5.65223e+06 iterations 69\n",
      "Cbc0038I Pass   7: (1.48 seconds) suminf.    1.46191 (10) obj. 5.65223e+06 iterations 262\n",
      "Cbc0038I Pass   8: (1.50 seconds) suminf.    1.25974 (9) obj. 5.65223e+06 iterations 50\n",
      "Cbc0038I Pass   9: (1.55 seconds) suminf.    1.55563 (8) obj. 5.65223e+06 iterations 258\n",
      "Cbc0038I Pass  10: (1.79 seconds) suminf.   18.20462 (80) obj. 5.65223e+06 iterations 2027\n",
      "Cbc0038I Pass  11: (1.98 seconds) suminf.    1.45150 (4) obj. 5.65223e+06 iterations 1062\n",
      "Cbc0038I Pass  12: (2.00 seconds) suminf.    0.66721 (4) obj. 5.65223e+06 iterations 134\n",
      "Cbc0038I Pass  13: (2.06 seconds) suminf.    1.27965 (4) obj. 5.65223e+06 iterations 273\n",
      "Cbc0038I Pass  14: (2.07 seconds) suminf.    0.49536 (4) obj. 5.65223e+06 iterations 22\n",
      "Cbc0038I Pass  15: (2.22 seconds) suminf.    3.02298 (13) obj. 5.65223e+06 iterations 1353\n",
      "Cbc0038I Pass  16: (2.32 seconds) suminf.    1.48562 (8) obj. 5.65223e+06 iterations 838\n",
      "Cbc0038I Pass  17: (2.34 seconds) suminf.    1.48562 (9) obj. 5.65223e+06 iterations 45\n",
      "Cbc0038I Pass  18: (2.42 seconds) suminf.    0.63141 (6) obj. 5.65223e+06 iterations 419\n",
      "Cbc0038I Pass  19: (2.45 seconds) suminf.    0.36827 (5) obj. 5.65223e+06 iterations 87\n",
      "Cbc0038I Pass  20: (2.50 seconds) suminf.    1.41784 (5) obj. 5.65223e+06 iterations 302\n",
      "Cbc0038I Pass  21: (2.54 seconds) suminf.    0.970CPU times: user 4.19 s, sys: 249 ms, total: 4.44 s\n",
      "Wall time: 4.45 s\n",
      "\n",
      "Optimization status: OptimizationStatus.OPTIMAL\n",
      "Optimal solution: 5803579.616998416\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "5803579.616998416"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n = 5\n",
    "inst = load_instance('instances/instance_'+str(n)+'.json')\n",
    "solve(inst)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "49 (4) obj. 5.65223e+06 iterations 146\n",
      "Cbc0038I Pass  22: (2.60 seconds) suminf.    1.00000 (4) obj. 5.65223e+06 iterations 229\n",
      "Cbc0038I Pass  23: (2.85 seconds) suminf.   38.93195 (88) obj. 5.65223e+06 iterations 1108\n",
      "Cbc0038I Pass  24: (3.02 seconds) suminf.    2.38253 (9) obj. 5.65223e+06 iterations 1041\n",
      "Cbc0038I Pass  25: (3.06 seconds) suminf.    1.13750 (6) obj. 5.65223e+06 iterations 259\n",
      "Cbc0038I Pass  26: (3.08 seconds) suminf.    1.13750 (6) obj. 5.65223e+06 iterations 7\n",
      "Cbc0038I Pass  27: (3.12 seconds) suminf.    0.72370 (4) obj. 5.65223e+06 iterations 232\n",
      "Cbc0038I Pass  28: (3.15 seconds) suminf.    0.66326 (4) obj. 5.65223e+06 iterations 167\n",
      "Cbc0038I Pass  29: (3.17 seconds) suminf.    1.16045 (5) obj. 5.65223e+06 iterations 94\n",
      "Cbc0038I Pass  30: (3.18 seconds) suminf.    1.16045 (5) obj. 5.65223e+06 iterations 0\n",
      "Cbc0038I Pass  31: (3.21 seconds) suminf.    1.84641 (7) obj. 5.65223e+06 iterations 198\n",
      "Cbc0038I No solution found this major pass\n",
      "Cbc0038I Before mini branch and bound, 5799 integers at bound fixed and 4570 continuous\n",
      "Cbc0038I Full problem 10168 rows 11060 columns, reduced to 725 rows 644 columns\n",
      "Cbc0038I Mini branch and bound improved solution from 5.63541e+06 to 5.80358e+06 (3.66 seconds)\n",
      "Cbc0038I After 3.67 seconds - Feasibility pump exiting with objective of 5.80358e+06 - took 3.12 seconds\n",
      "Cbc0012I Integer solution of 5803579.6 found by feasibility pump after 0 iterations and 0 nodes (3.78 seconds)\n",
      "Cbc0001I Search completed - best objective 5803579.616998415, took 0 iterations and 0 nodes (3.80 seconds)\n",
      "Cbc0035I Maximum depth 0, 0 variables fixed on reduced cost\n",
      "Cbc0038I Initial state - 308 integers unsatisfied sum - 80.0824\n",
      "Cbc0038I Pass   1: (2.61 seconds) suminf.    0.00000 (0) obj. 6.1301e+06 iterations 4829\n",
      "Cbc0038I Solution found of 6.1301e+06\n",
      "Cbc0038I Relaxing continuous gives 6.24648e+06\n",
      "Cbc0038I Before mini branch and bound, 11686 integers at bound fixed and 9748 continuous\n",
      "Cbc0038I Full problem 20520 rows 22000 columns, reduced to 727 rows 559 columns\n",
      "Cbc0038I Mini branch and bound improved solution from 6.24648e+06 to 7.72945e+06 (4.32 seconds)\n",
      "Cbc0038I Round again with cutoff of 8.16839e+06\n",
      "Cbc0038I Pass   2: (5.33 seconds) suminf.    8.37440 (43) obj. 8.16839e+06 iterations 1561\n",
      "Cbc0038I Pass   3: (5.58 seconds) suminf.    5.43713 (26) obj. 8.16839e+06 iterations 824\n",
      "Cbc0038I Pass   4: (5.63 seconds) suminf.    3.57363 (22) obj. 8.16839e+06 iterations 119\n",
      "Cbc0038I Pass   5: (5.70 seconds) suminf.    2.07293 (15) obj. 8.16839e+06 iterations 349\n",
      "Cbc0038I Pass   6: (5.80 seconds) suminf.    2.62602 (13) obj. 8.16839e+06 iterations 478\n",
      "Cbc0038I Pass   7: (5.86 seconds) suminf.    1.74004 (13) obj. 8.16839e+06 iterations 223\n",
      "Cbc0038I Pass   8: (5.96 seconds) suminf.    1.13779 (8) obj. 8.16839e+06 iterations 488\n",
      "Cbc0038I Pass   9: (6.01 seconds) suminf.    0.84865 (8) obj. 8.16839e+06 iterations 230\n",
      "Cbc0038I Pass  10: (6.07 seconds) suminf.    1.00000 (6) obj. 8.16839e+06 iterations 281\n",
      "Cbc0038I Pass  11: (6.10 seconds) suminf.    0.75889 (7) obj. 8.16839e+06 iterations 130\n",
      "Cbc0038I Pass  12: (6.54 seconds) suminf.    9.73622 (44) obj. 8.16839e+06 iterations 3144\n",
      "Cbc0038I Pass  13: (7.09 seconds) suminf.    1.29738 (10) obj. 8.16839e+06 iterations 2829\n",
      "Cbc0038I Pass  14: (7.30 seconds) suminf.    1.02429 (9) obj. 8.16839e+06 iterations 529\n",
      "Cbc0038I Pass  15: (7.39 seconds) suminf.    0.88797 (6) obj. 8.16839e+06 iterations 249\n",
      "Cbc0038I Pass  16: (7.48 seconds) suminf.    1.00000 (6) obj. 8.16839e+06 iterations 233\n",
      "Cbc0038I Pass  17: (7.92 seconds) suminf.    9.54167 (57) obj. 8.16839e+06 iterations 2694\n",
      "Cbc0038I Pass  18: (8.24 seconds) suminf.    1.08651 (5) obj. 8.16839e+06 iterations 1586\n",
      "Cbc0038I Pass  19: (8.28 seconds) suminf.    0.86117 (4) obj. 8.16839e+06 iterations 104\n",
      "Cbc0038I Pass  20: (8.32 seconds) suminf.    0.85904 (4) obj. 8.16839e+06 iterations 56\n",
      "Cbc0038I Pass  21: (8.35 seconds) suminf.    0.82435 (4) obj. 8.16839e+06 iterations 103\n",
      "Cbc0038I Pass  22: (8.38 seconds) suminf.    0.82267 (4) obj. 8.16839e+06 iterations 25\n",
      "Cbc0038I Pass  23: (8.41 seconds) suminf.    0.87628 (4) obj. 8.16839e+06 iterations 50\n",
      "Cbc0038I Pass  24: (8.63 seconds) suminf.    5.06483 (18) obj. 8.16839e+06 iterations 1596\n",
      "Cbc0038I Pass  25: (8.77 seconds) suminf.    0.63341 (5) obj. 8.16839e+06 iterations 840\n",
      "Cbc0038I Pass  26: (8.81 seconds) suminf.    0.97720 (4) obj. 8.16839e+06 iterations 212\n",
      "Cbc0038I Pass  27: (8.89 seconds) suminf.    0.96685 (5) obj. 8.16839e+06 iterations 337\n",
      "Cbc0038I Pass  28: (8.93 seconds) suminf.    1.00000 (5) obj. 8.16839e+06 iterations 100\n",
      "Cbc0038I Pass  29: (9.24 seconds) suminf.   11.93087 (43) obj. 8.16839e+06 iterations 2040\n",
      "Cbc0038I Pass  30: (9.61 seconds) suminf.    0.94914 (10) obj. 8.16839e+06 iterations 1995\n",
      "Cbc0038I Pass  31: (9.67 seconds) suminf.    2.34789 (10) obj. 8.16839e+06 iterations 272\n",
      "Cbc0038I No solution found this major pass\n",
      "Cbc0038I Before mini branch and bound, 11464 integers at bound fixed and 9573 continuous\n",
      "Cbc0038I Full problem 20520 rows 22000 columns, reduced to 1096 rows 909 columns\n",
      "Cbc0038I Mini branch and bound improved solution from 7.72945e+06 to 7.77646e+06 (12.90 seconds)\n",
      "Cbc0038I Freeing continuous variables gives a solution of 7.77646e+06\n",
      "Cbc0038I Round again with cutoff of 8.9585e+06\n",
      "Cbc0038I Pass  31: (13.99 seconds) suminf.   12.11117 (72) obj. 8.9585e+06 iterations 858\n",
      "Cbc0038I Pass  32: (14.30 seconds) suminf.    8.89993 (51) obj. 8.9585e+06 iterations 1335\n",
      "Cbc0038I Pass  33: (14.79 seconds) suminf.    8.80113 (41) obj. 8.9585e+06 iterations 2436\n",
      "Cbc0038I Pass  34: (15.93 seconds) suminf.    6.49043 (130) obj. 8.9585e+06 iterations 2315\n",
      "Cbc0038I Pass  35: (16.83 seconds) suminf.   10.28153 (46) obj. 8.9585e+06 iterations 2749\n",
      "Cbc0038I Pass  36: (17.01 seconds) suminf.    8.25598 (42) obj. 8.9585e+06 iterations 749\n",
      "Cbc0038I Pass  37: (17.41 seconds) suminf.    7.91008 (35) obj. 8.9585e+06 iterations 1458\n",
      "Cbc0038I Pass  38: (17.60 seconds) suminf.    7.71689 (42) obj. 8.9585e+06 iterations 833\n",
      "Cbc0038I Pass  39: (18.29 seconds) suminf.    8.36400 (46) obj. 8.9585e+06 iterations 2851\n",
      "Cbc0038I Pass  40: (19.59 seconds) suminf.    6.70062 (84) obj. 8.9585e+06 iterations 4991\n",
      "Cbc0038I Pass  41: (20.01 seconds) suminf.    7.87374 (44) obj. 8.9585e+06 iterations 1722\n",
      "Cbc0038I Pass  42: (20.12 seconds) suminf.    7.73483 (40) obj. 8.9585e+06 iterations 411\n",
      "Cbc0038I Pass  43: (20.59 seconds) suminf.    8.38290 (53) obj. 8.9585e+06 iterations 1876\n",
      "Cbc0038I Pass  44: (20.96 seconds) suminf.    7.19683 (47) obj. 8.9585e+06 iterations 1429\n",
      "Cbc0038I Pass  45: (22.21 seconds) suminf.    8.08578 (83) obj. 8.9585e+06 iterations 4262\n",
      "Cbc0038I Pass  46: (22.74 seconds) suminf.    7.32605 (123) obj. 8.9585e+06 iterations 2026\n",
      "Cbc0038I Pass  47: (23.64 seconds) suminf.   12.39044 (65) obj. 8.9585e+06 iterations 3493\n",
      "Cbc0038I Pass  48: (23.91 seconds) suminf.   10.64145 (49) obj. 8.9585e+06 iterations 1184\n",
      "Cbc0038I Pass  49: (23.94 seconds) suminf.    9.92342 (47) obj. 8.9585e+06 iterations 5\n",
      "Cbc0038I Pass  50: (24.51 seconds) suminf.    8.23792 (55) obj. 8.9585e+06 iterations 2560\n",
      "Cbc0038I Pass  51: (24.82 seconds) suminf.    7.74934 (89) obj. 8.9585e+06 iterations 1239\n",
      "Cbc0038I Pass  52: (25.79 seconds) suminf.    7.18189 (102) obj. 8.9585e+06 iterations 3911\n",
      "Cbc0038I Pass  53: (26.06 seconds) suminf.    6.80274 (112) obj. 8.9585e+06 iterations 817\n",
      "Cbc0038I Pass  54: (26.25 seconds) suminf.    6.75068 (84) obj. 8.9585e+06 iterations 626\n",
      "Cbc0038I Pass  55: (26.60 seconds) suminf.    7.23774 (36) obj. 8.9585e+06 iterations 1433\n",
      "Cbc0038I Pass  56: (26.78 seconds) suminf.    6.53229 (42) obj. 8.9585e+06 iterations 914\n",
      "Cbc0038I Pass  57: (27.06 seconds) suminf.   10.19712 (47) obj. 8.9585e+06 iterations 1322\n",
      "Cbc0038I Pass  58: (27.19 seconds) suminf.    7.56550 (55) obj. 8.9585e+06 iterations 344\n",
      "Cbc0038I Pass  59: (27.35 seconds) suminf.    7.53061 (52) obj. 8.9585e+06 iterations 598\n",
      "Cbc0038I Pass  60: (27.61 seconds) suminf.    8.11414 (54) obj. 8.9585e+06 iterations 829\n",
      "Cbc0038I No solution found this major pass\n",
      "Cbc0038I Before mini branch and bound, 11056 integers at bound fixed and 8950 continuous\n",
      "Cbc0038I Full problem 20520 rows 22000 columns, reduced to 1918 rows 1729 columns\n",
      "Cbc0038I Mini branch and bound did not improve solution (32.34 seconds)\n",
      "Cbc0038I After 32.34 seconds - Feasibility pump exiting with objective of 7.77646e+06 - took 29.90 seconds\n",
      "Cbc0012I Integer solution of 7776462.8 found by feasibility pump after 0 iterations and 0 nodes (32.75 seconds)\n",
      "Cbc0038I Full problem 20520 rows 22000 columns, reduced to 781 rows 612 columns\n",
      "Cbc0012I Integer solution of 7822060.1 found by RINS after 0 iterations and 0 nodes (35.88 seconds)\n",
      "Cbc0031I 111 added rows had average density of 147.28829\n",
      "Cbc0013I At root node, 111 cuts changed objective from 12118923 to 12118923 in 10 passes\n",
      "Cbc0014I Cut generator 0 (Probing) - 0 row cuts average 0.0 elements, 0 column cuts (92 active)  in 2.907 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 1 (Gomory) - 32 row cuts average 173.4 elements, 0 column cuts (0 active)  in 1.511 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 2 (Knapsack) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 0.229 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 3 (Clique) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 0.012 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 4 (OddWheel) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 0.030 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 5 (MixedIntegerRounding2) - 1043 row cuts average 166.2 elements, 0 column cuts (0 active)  in 0.227 seconds - new frequency is 1\n",
      "Cbc0014I Cut generator 6 (FlowCover) - 190 row cuts average 30.7 elements, 0 column cuts (0 active)  in 0.040 seconds - new frequency is 1\n",
      "Cbc0014I Cut generator 7 (TwoMirCuts) - 51 row cuts average 186.8 elements, 0 column cuts (0 active)  in 0.850 seconds - new frequency is -100\n",
      "Cbc0010I After 0 nodes, 1 on tree, 7822060.1 best solution, best possible 12118923 (49.64 seconds)\n",
      "Cbc0010I After 1 nodes, 2 on tree, 7822060.1 best solution, best possible 12118923 (52.25 seconds)\n",
      "Cbc0010I After 2 nodes, 3 on tree, 7822060.1 best solution, best possible 12118923 (54.45 seconds)\n",
      "Cbc0010I After 3 nodes, 4 on tree, 7822060.1 best solution, best possible 12118923 (57.04 seconds)\n",
      "Cbc0010I After 4 nodes, 5 on tree, 7822060.1 best solution, best possible 12118923 (59.62 seconds)\n",
      "Cbc0010I After 5 nodes, 6 on tree, 7822060.1 best solution, best possible 12118923 (61.96 seconds)\n",
      "Cbc0010I After 6 nodes, 7 on tree, 7822060.1 best solution, best possible 12118923 (64.01 seconds)\n",
      "Cbc0010I After 7 nodes, 8 on tree, 7822060.1 best solution, best possible 12118923 (66.02 seconds)\n",
      "Cbc0010I After 8 nodes, 9 on tree, 7822060.1 best solution, best possible 12118923 (67.80 seconds)\n",
      "Cbc0010I After 9 nodes, 10 on tree, 7822060.1 best solution, best possible 12118923 (69.58 seconds)\n",
      "Cbc0010I After 11 nodes, 12 on tree, 7822060.1 best solution, best possible 12118923 (70.39 seconds)\n",
      "Cbc0010I After 13 nodes, 13 on tree, 7822060.1 best solution, best possible 12118923 (71.37 seconds)\n",
      "Cbc0010I After 16 nodes, 15 on tree, 7822060.1 best solution, best possible 12118923 (72.38 seconds)\n",
      "Cbc0010I After 19 nodes, 17 on tree, 7822060.1 best solution, best possible 12118923 (73.26 seconds)\n",
      "Cbc0010I After 22 nodes, 20 on tree, 7822060.1 best solution, best possible 12118923 (74.33 seconds)\n",
      "Cbc0010I After 24 nodes, 20 on tree, 7822060.1 best solution, best possible 12118923 (75.36 seconds)\n",
      "Cbc0010I After 26 nodes, 21 on tree, 7822060.1 best solution, best possible 12118923 (76.39 seconds)\n",
      "Cbc0010I After 27 nodes, 21 on tree, 7822060.1 best solution, best possible 12118923 (77.42 seconds)\n",
      "Cbc0010I After 30 nodes, 24 on tree, 7822060.1 best solution, best possible 12118923 (78.21 seconds)\n",
      "Cbc0010I After 32 nodes, 25 on tree, 7822060.1 best solution, best possible 12118923 (79.18 seconds)\n",
      "Cbc0010I After 34 nodes, 26 on tree, 7822060.1 best solution, best possible 12118923 (80.03 seconds)\n",
      "Cbc0010I After 36 nodes, 27 on tree, 7822060.1 best solution, best possible 12118923 (80.90 seconds)\n",
      "Cbc0010I After 38 nodes, 28 on tree, 7822060.1 best solution, best possible 12118923 (82.54 seconds)\n",
      "Cbc0010I After 40 nodes, 29 on tree, 7822060.1 best solution, best possible 12118923 (83.48 seconds)\n",
      "Cbc0010I After 42 nodes, 30 on tree, 7822060.1 best solution, best possible 12118923 (84.32 seconds)\n",
      "Cbc0010I After 44 nodes, 31 on tree, 7822060.1 best solution, best possible 12118923 (85.34 seconds)\n",
      "Cbc0010I After 46 nodes, 32 on tree, 7822060.1 best solution, best possible 12118923 (87.24 seconds)\n",
      "Cbc0010I After 48 nodes, 33 on tree, 7822060.1 best solution, best possible 12118923 (88.04 seconds)\n",
      "Cbc0010I After 50 nodes, 34 on tree, 7822060.1 best solution, best possible 12118923 (88.95 seconds)\n",
      "Cbc0010I After 52 nodes, 35 on tree, 7822060.1 best solution, best possible 12118923 (90.99 seconds)\n",
      "Cbc0010I After 54 nodes, 36 on tree, 7822060.1 best solution, best possible 12118923 (92.10 seconds)\n",
      "Cbc0010I After 56 nodes, 37 on tree, 7822060.1 best solution, best possible 12118923 (93.04 seconds)\n",
      "Cbc0010I After 58 nodes, 38 on tree, 7822060.1 best solution, best possible 12118923 (93.80 seconds)\n",
      "Cbc0010I After 61 nodes, 40 on tree, 7822060.1 best solution, best possible 12118923 (94.76 seconds)\n",
      "Cbc0010I After 64 nodes, 42 on tree, 7822060.1 best solution, best possible 12118923 (96.86 seconds)\n",
      "Cbc0010I After 65 nodes, 42 on tree, 7822060.1 best solution, best possible 12118923 (97.75 seconds)\n",
      "Cbc0010I After 66 nodes, 42 on tree, 7822060.1 best solution, best possible 12118923 (98.65 seconds)\n",
      "Cbc0010I After 68 nodes, 43 on tree, 7822060.1 best solution, best possible 12118923 (99.55 seconds)\n",
      "Cbc0010I After 71 nodes, 45 on tree, 7822060.1 best solution, best possible 12118923 (100.61 seconds)\n",
      "Cbc0010I After 74 nodes, 47 on tree, 7822060.1 best solution, best possible 12118923 (101.47 seconds)\n",
      "Cbc0010I After 78 nodes, 50 on tree, 7822060.1 best solution, best possible 12118923 (102.45 seconds)\n",
      "Cbc0010I After 81 nodes, 52 on tree, 7822060.1 best solution, best possible 12118923 (103.54 seconds)\n",
      "Cbc0010I After 83 nodes, 52 on tree, 7822060.1 best solution, best possible 12118923 (104.33 seconds)\n",
      "Cbc0010I After 86 nodes, 54 on tree, 7822060.1 best solution, best possible 12118923 (105.22 seconds)\n",
      "Cbc0010I After 88 nodes, 54 on tree, 7822060.1 best solution, best possible 12118923 (107.30 seconds)\n",
      "Cbc0010I After 90 nodes, 55 on tree, 7822060.1 best solution, best possible 12118923 (108.10 seconds)\n",
      "Cbc0010I After 92 nodes, 55 on tree, 7822060.1 best solution, best possible 12118923 (109.01 seconds)\n",
      "Cbc0010I After 94 nodes, 57 on tree, 7822060.1 best solution, best possible 12118923 (109.73 seconds)\n",
      "Cbc0010I After 98 nodes, 60 on tree, 7822060.1 best solution, best possible 12118923 (110.55 seconds)\n",
      "Cbc0010I After 102 nodes, 62 on tree, 7822060.1 best solution, best possible 12118923 (111.41 seconds)\n",
      "Cbc0010I After 108 nodes, 66 on tree, 7822060.1 best solution, best possible 12118923 (112.13 seconds)\n",
      "Cbc0010I After 112 nodes, 67 on tree, 7822060.1 best solution, best possible 12118923 (112.90 seconds)\n",
      "Cbc0010I After 119 nodes, 71 on tree, 7822060.1 best solution, best possible 12118923 (113.79 seconds)\n",
      "Cbc0010I After 125 nodes, 74 on tree, 7822060.1 best solution, best possible 12118923 (114.65 seconds)\n",
      "Cbc0010I After 132 nodes, 78 on tree, 7822060.1 best solution, best possible 12118923 (115.54 seconds)\n",
      "Cbc0010I After 142 nodes, 86 on tree, 7822060.1 best solution, best possible 12118923 (116.25 seconds)\n",
      "Cbc0010I After 146 nodes, 87 on tree, 7822060.1 best solution, best possible 12118923 (117.03 seconds)\n",
      "Cbc0010I After 149 nodes, 87 on tree, 7822060.1 best solution, best possible 12118923 (117.94 seconds)\n",
      "Cbc0010I After 157 nodes, 92 on tree, 7822060.1 best solution, best possible 12118923 (118.79 seconds)\n",
      "Cbc0010I After 163 nodes, 95 on tree, 7822060.1 best solution, best possible 12118923 (119.71 seconds)\n",
      "Cbc0010I After 167 nodes, 96 on tree, 7822060.1 best solution, best possible 12118923 (120.61 seconds)\n",
      "Cbc0010I After 168 nodes, 96 on tree, 7822060.1 best solution, best possible 12118923 (121.43 seconds)\n",
      "Cbc0010I After 175 nodes, 100 on tree, 7822060.1 best solution, best possible 12118923 (123.38 seconds)\n",
      "Cbc0010I After 179 nodes, 102 on tree, 7822060.1 best solution, best possible 12118923 (124.09 seconds)\n",
      "Cbc0010I After 185 nodes, 106 on tree, 7822060.1 best solution, best possible 12118923 (125.55 seconds)\n",
      "Cbc0010I After 191 nodes, 109 on tree, 7822060.1 best solution, best possible 12118923 (126.33 seconds)\n",
      "Cbc0010I After 192 nodes, 109 on tree, 7822060.1 best solution, best possible 12118923 (128.04 seconds)\n",
      "Cbc0010I After 198 nodes, 113 on tree, 7822060.1 best solution, best possible 12118923 (128.76 seconds)\n",
      "Cbc0010I After 200 nodes, 113 on tree, 7822060.1 best solution, best possible 12118923 (130.36 seconds)\n",
      "Cbc0010I After 206 nodes, 117 on tree, 7822060.1 best solution, best possible 12118923 (131.15 seconds)\n",
      "Cbc0010I After 209 nodes, 118 on tree, 7822060.1 best solution, best possible 12118923 (132.64 seconds)\n",
      "Cbc0010I After 214 nodes, 120 on tree, 7822060.1 best solution, best possible 12118923 (133.37 seconds)\n",
      "Cbc0010I After 216 nodes, 121 on tree, 7822060.1 best solution, best possible 12118923 (134.65 seconds)\n",
      "Cbc0010I After 224 nodes, 125 on tree, 7822060.1 best solution, best possible 12118923 (135.56 seconds)\n",
      "Cbc0010I After 227 nodes, 128 on tree, 7822060.1 best solution, best possible 12118923 (136.92 seconds)\n",
      "Cbc0010I After 235 nodes, 133 on tree, 7822060.1 best solution, best possible 12118923 (137.73 seconds)\n",
      "Cbc0010I After 238 nodes, 133 on tree, 7822060.1 best solution, best possible 12118923 (139.61 seconds)\n",
      "Cbc0010I After 241 nodes, 133 on tree, 7822060.1 best solution, best possible 12118923 (141.96 seconds)\n",
      "Cbc0010I After 248 nodes, 138 on tree, 7822060.1 best solution, best possible 12118923 (142.67 seconds)\n",
      "Cbc0010I After 253 nodes, 141 on tree, 7822060.1 best solution, best possible 12118923 (144.29 seconds)\n",
      "Cbc0010I After 256 nodes, 141 on tree, 7822060.1 best solution, best possible 12118923 (145.01 seconds)\n",
      "Cbc0010I After 259 nodes, 142 on tree, 7822060.1 best solution, best possible 12118923 (146.60 seconds)\n",
      "Cbc0010I After 266 nodes, 147 on tree, 7822060.1 best solution, best possible 12118923 (147.34 seconds)\n",
      "Cbc0010I After 268 nodes, 147 on tree, 7822060.1 best solution, best possible 12118923 (149.17 seconds)\n",
      "Cbc0010I After 273 nodes, 150 on tree, 7822060.1 best solution, best possible 12118923 (149.94 seconds)\n",
      "Cbc0010I After 277 nodes, 152 on tree, 7822060.1 best solution, best possible 12118923 (151.58 seconds)\n",
      "Cbc0010I After 284 nodes, 156 on tree, 7822060.1 best solution, best possible 12118923 (152.32 seconds)\n",
      "Cbc0010I After 286 nodes, 157 on tree, 7822060.1 best solution, best possible 12118923 (153.83 seconds)\n",
      "Cbc0010I After 294 nodes, 163 on tree, 7822060.1 best solution, best possible 12118923 (154.56 seconds)\n",
      "Cbc0010I After 296 nodes, 163 on tree, 7822060.1 best solution, best possible 12118923 (155.91 seconds)\n",
      "Cbc0010I After 300 nodes, 165 on tree, 7822060.1 best solution, best possible 12118923 (156.65 seconds)\n",
      "Cbc0010I After 302 nodes, 167 on tree, 7822060.1 best solution, best possible 12118923 (157.40 seconds)\n",
      "Cbc0010I After 304 nodes, 167 on tree, 7822060.1 best solution, best possible 12118923 (159.07 seconds)\n",
      "Cbc0010I After 310 nodes, 170 on tree, 7822060.1 best solution, best possible 12118923 (159.85 seconds)\n",
      "Cbc0010I After 312 nodes, 170 on tree, 7822060.1 best solution, best possible 12118923 (161.17 seconds)\n",
      "Cbc0010I After 318 nodes, 173 on tree, 7822060.1 best solution, best possible 12118923 (163.20 seconds)\n",
      "Cbc0010I After 322 nodes, 174 on tree, 7822060.1 best solution, best possible 12118923 (165.34 seconds)\n",
      "Cbc0010I After 327 nodes, 177 on tree, 7822060.1 best solution, best possible 12118923 (166.24 seconds)\n",
      "Cbc0010I After 331 nodes, 180 on tree, 7822060.1 best solution, best possible 12118923 (167.28 seconds)\n",
      "Cbc0010I After 337 nodes, 184 on tree, 7822060.1 best solution, best possible 12118923 (167.99 seconds)\n",
      "Cbc0010I After 338 nodes, 185 on tree, 7822060.1 best solution, best possible 12118923 (169.06 seconds)\n",
      "Cbc0010I After 342 nodes, 185 on tree, 7822060.1 best solution, best possible 12118923 (169.87 seconds)\n",
      "Cbc0010I After 343 nodes, 185 on tree, 7822060.1 best solution, best possible 12118923 (170.80 seconds)\n",
      "Cbc0010I After 352 nodes, 191 on tree, 7822060.1 best solution, best possible 12118923 (173.04 seconds)\n",
      "Cbc0010I After 357 nodes, 194 on tree, 7822060.1 best solution, best possible 12118923 (173.81 seconds)\n",
      "Cbc0010I After 361 nodes, 196 on tree, 7822060.1 best solution, best possible 12118923 (175.40 seconds)\n",
      "Cbc0010I After 366 nodes, 197 on tree, 7822060.1 best solution, best possible 12118923 (176.27 seconds)\n",
      "Cbc0010I After 371 nodes, 201 on tree, 7822060.1 best solution, best possible 12118923 (177.59 seconds)\n",
      "Cbc0010I After 376 nodes, 203 on tree, 7822060.1 best solution, best possible 12118923 (178.39 seconds)\n",
      "Cbc0010I After 377 nodes, 203 on tree, 7822060.1 best solution, best possible 12118923 (179.40 seconds)\n",
      "Cbc0010I After 384 nodes, 207 on tree, 7822060.1 best solution, best possible 12118923 (180.22 seconds)\n",
      "Cbc0010I After 388 nodes, 209 on tree, 7822060.1 best solution, best possible 12118923 (181.71 seconds)\n",
      "Cbc0010I After 395 nodes, 213 on tree, 7822060.1 best solution, best possible 12118923 (183.12 seconds)\n",
      "Cbc0010I After 404 nodes, 218 on tree, 7822060.1 best solution, best possible 12118923 (184.72 seconds)\n",
      "Cbc0010I After 410 nodes, 222 on tree, 7822060.1 best solution, best possible 12118923 (185.85 seconds)\n",
      "Cbc0010I After 415 nodes, 224 on tree, 7822060.1 best solution, best possible 12118923 (187.09 seconds)\n",
      "Cbc0010I After 421 nodes, 227 on tree, 7822060.1 best solution, best possible 12118923 (188.67 seconds)\n",
      "Cbc0010I After 428 nodes, 230 on tree, 7822060.1 best solution, best possible 12118923 (190.71 seconds)\n",
      "Cbc0010I After 434 nodes, 233 on tree, 7822060.1 best solution, best possible 12118923 (191.64 seconds)\n",
      "Cbc0010I After 436 nodes, 234 on tree, 7822060.1 best solution, best possible 12118923 (192.53 seconds)\n",
      "Cbc0010I After 440 nodes, 236 on tree, 7822060.1 best solution, best possible 12118923 (193.89 seconds)\n",
      "Cbc0010I After 443 nodes, 237 on tree, 7822060.1 best solution, best possible 12118923 (195.50 seconds)\n",
      "Cbc0010I After 450 nodes, 241 on tree, 7822060.1 best solution, best possible 12118923 (196.28 seconds)\n",
      "Cbc0010I After 455 nodes, 243 on tree, 7822060.1 best solution, best possible 12118923 (197.38 seconds)\n",
      "Cbc0010I After 463 nodes, 248 on tree, 7822060.1 best solution, best possible 12118923 (198.64 seconds)\n",
      "Cbc0010I After 469 nodes, 251 on tree, 7822060.1 best solution, best possible 12118923 (200.03 seconds)\n",
      "Cbc0010I After 472 nodes, 251 on tree, 7822060.1 best solution, best possible 12118923 (201.29 seconds)\n",
      "Cbc0010I After 477 nodes, 254 on tree, 7822060.1 best solution, best possible 12118923 (202.00 seconds)\n",
      "Cbc0010I After 479 nodes, 254 on tree, 7822060.1 best solution, best possible 12118923 (202.86 seconds)\n",
      "Cbc0010I After 484 nodes, 257 on tree, 7822060.1 best solution, best possible 12118923 (205.14 seconds)\n",
      "Cbc0010I After 488 nodes, 259 on tree, 7822060.1 best solution, best possible 12118923 (205.84 seconds)\n",
      "Cbc0010I After 495 nodes, 263 on tree, 7822060.1 best solution, best possible 12118923 (207.06 seconds)\n",
      "Cbc0010I After 502 nodes, 267 on tree, 7822060.1 best solution, best possible 12118923 (208.81 seconds)\n",
      "Cbc0010I After 506 nodes, 268 on tree, 7822060.1 best solution, best possible 12118923 (209.60 seconds)\n",
      "Cbc0010I After 507 nodes, 268 on tree, 7822060.1 best solution, best possible 12118923 (210.38 seconds)\n",
      "Cbc0010I After 513 nodes, 272 on tree, 7822060.1 best solution, best possible 12118923 (211.62 seconds)\n",
      "Cbc0010I After 517 nodes, 274 on tree, 7822060.1 best solution, best possible 12118923 (212.87 seconds)\n",
      "Cbc0010I After 521 nodes, 275 on tree, 7822060.1 best solution, best possible 12118923 (214.16 seconds)\n",
      "Cbc0010I After 527 nodes, 278 on tree, 7822060.1 best solution, best possible 12118923 (215.72 seconds)\n",
      "Cbc0010I After 532 nodes, 280 on tree, 7822060.1 best solution, best possible 12118923 (216.95 seconds)\n",
      "Cbc0010I After 535 nodes, 281 on tree, 7822060.1 best solution, best possible 12118923 (218.09 seconds)\n",
      "Cbc0010I After 541 nodes, 284 on tree, 7822060.1 best solution, best possible 12118923 (220.10 seconds)\n",
      "Cbc0010I After 545 nodes, 286 on tree, 7822060.1 best solution, best possible 12118923 (221.03 seconds)\n",
      "Cbc0010I After 549 nodes, 289 on tree, 7822060.1 best solution, best possible 12118923 (222.81 seconds)\n",
      "Cbc0010I After 557 nodes, 293 on tree, 7822060.1 best solution, best possible 12118923 (223.56 seconds)\n",
      "Cbc0010I After 562 nodes, 295 on tree, 7822060.1 best solution, best possible 12118923 (224.83 seconds)\n",
      "Cbc0010I After 568 nodes, 298 on tree, 7822060.1 best solution, best possible 12118923 (225.54 seconds)\n",
      "Cbc0010I After 572 nodes, 301 on tree, 7822060.1 best solution, best possible 12118923 (226.44 seconds)\n",
      "Cbc0010I After 578 nodes, 304 on tree, 7822060.1 best solution, best possible 12118923 (227.85 seconds)\n",
      "Cbc0010I After 586 nodes, 308 on tree, 7822060.1 best solution, best possible 12118923 (229.51 seconds)\n",
      "Cbc0010I After 592 nodes, 311 on tree, 7822060.1 best solution, best possible 12118923 (230.30 seconds)\n",
      "Cbc0010I After 593 nodes, 311 on tree, 7822060.1 best solution, best possible 12118923 (231.06 seconds)\n",
      "Cbc0010I After 600 nodes, 315 on tree, 7822060.1 best solution, best possible 12118923 (232.43 seconds)\n",
      "Cbc0010I After 604 nodes, 316 on tree, 7822060.1 best solution, best possible 12118923 (233.83 seconds)\n",
      "Cbc0010I After 611 nodes, 321 on tree, 7822060.1 best solution, best possible 12118923 (234.60 seconds)\n",
      "Cbc0010I After 613 nodes, 322 on tree, 7822060.1 best solution, best possible 12118923 (235.49 seconds)\n",
      "Cbc0010I After 619 nodes, 323 on tree, 7822060.1 best solution, best possible 12118923 (237.16 seconds)\n",
      "Cbc0010I After 625 nodes, 327 on tree, 7822060.1 best solution, best possible 12118923 (237.88 seconds)\n",
      "Cbc0010I After 628 nodes, 329 on tree, 7822060.1 best solution, best possible 12118923 (238.69 seconds)\n",
      "Cbc0010I After 633 nodes, 332 on tree, 7822060.1 best solution, best possible 12118923 (239.93 seconds)\n",
      "Cbc0010I After 640 nodes, 336 on tree, 7822060.1 best solution, best possible 12118923 (241.35 seconds)\n",
      "Cbc0010I After 645 nodes, 338 on tree, 7822060.1 best solution, best possible 12118923 (242.11 seconds)\n",
      "Cbc0010I After 648 nodes, 340 on tree, 7822060.1 best solution, best possible 12118923 (243.11 seconds)\n",
      "Cbc0010I After 652 nodes, 342 on tree, 7822060.1 best solution, best possible 12118923 (244.29 seconds)\n",
      "Cbc0010I After 660 nodes, 347 on tree, 7822060.1 best solution, best possible 12118923 (245.07 seconds)\n",
      "Cbc0010I After 661 nodes, 348 on tree, 7822060.1 best solution, best possible 12118923 (246.10 seconds)\n",
      "Cbc0010I After 666 nodes, 348 on tree, 7822060.1 best solution, best possible 12118923 (246.86 seconds)\n",
      "Cbc0010I After 668 nodes, 349 on tree, 7822060.1 best solution, best possible 12118923 (248.05 seconds)\n",
      "Cbc0010I After 674 nodes, 352 on tree, 7822060.1 best solution, best possible 12118923 (248.83 seconds)\n",
      "Cbc0010I After 675 nodes, 352 on tree, 7822060.1 best solution, best possible 12118923 (249.79 seconds)\n",
      "Cbc0010I After 681 nodes, 356 on tree, 7822060.1 best solution, best possible 12118923 (250.49 seconds)\n",
      "Cbc0010I After 682 nodes, 356 on tree, 7822060.1 best solution, best possible 12118923 (251.41 seconds)\n",
      "Cbc0010I After 687 nodes, 359 on tree, 7822060.1 best solution, best possible 12118923 (252.13 seconds)\n",
      "Cbc0010I After 688 nodes, 359 on tree, 7822060.1 best solution, best possible 12118923 (253.00 seconds)\n",
      "Cbc0010I After 693 nodes, 361 on tree, 7822060.1 best solution, best possible 12118923 (253.78 seconds)\n",
      "Cbc0010I After 694 nodes, 362 on tree, 7822060.1 best solution, best possible 12118923 (254.60 seconds)\n",
      "Cbc0010I After 700 nodes, 366 on tree, 7822060.1 best solution, best possible 12118923 (255.34 seconds)\n",
      "Cbc0010I After 701 nodes, 366 on tree, 7822060.1 best solution, best possible 12118923 (256.33 seconds)\n",
      "Cbc0010I After 708 nodes, 370 on tree, 7822060.1 best solution, best possible 12118923 (257.10 seconds)\n",
      "Cbc0010I After 711 nodes, 371 on tree, 7822060.1 best solution, best possible 12118923 (257.87 seconds)\n",
      "Cbc0010I After 714 nodes, 372 on tree, 7822060.1 best solution, best possible 12118923 (258.78 seconds)\n",
      "Cbc0010I After 721 nodes, 376 on tree, 7822060.1 best solution, best possible 12118923 (259.98 seconds)\n",
      "Cbc0010I After 725 nodes, 378 on tree, 7822060.1 best solution, best possible 12118923 (261.06 seconds)\n",
      "Cbc0010I After 728 nodes, 378 on tree, 7822060.1 best solution, best possible 12118923 (262.78 seconds)\n",
      "Cbc0010I After 735 nodes, 382 on tree, 7822060.1 best solution, best possible 12118923 (263.65 seconds)\n",
      "Cbc0010I After 736 nodes, 383 on tree, 7822060.1 best solution, best possible 12118923 (264.62 seconds)\n",
      "Cbc0010I After 742 nodes, 387 on tree, 7822060.1 best solution, best possible 12118923 (265.32 seconds)\n",
      "Cbc0010I After 744 nodes, 388 on tree, 7822060.1 best solution, best possible 12118923 (266.09 seconds)\n",
      "Cbc0010I After 752 nodes, 393 on tree, 7822060.1 best solution, best possible 12118923 (267.42 seconds)\n",
      "Cbc0010I After 757 nodes, 394 on tree, 7822060.1 best solution, best possible 12118923 (268.56 seconds)\n",
      "Cbc0010I After 762 nodes, 397 on tree, 7822060.1 best solution, best possible 12118923 (269.70 seconds)\n",
      "Cbc0010I After 766 nodes, 398 on tree, 7822060.1 best solution, best possible 12118923 (270.82 seconds)\n",
      "Cbc0010I After 770 nodes, 399 on tree, 7822060.1 best solution, best possible 12118923 (272.01 seconds)\n",
      "Cbc0010I After 775 nodes, 402 on tree, 7822060.1 best solution, best possible 12118923 (273.26 seconds)\n",
      "Cbc0010I After 781 nodes, 405 on tree, 7822060.1 best solution, best possible 12118923 (274.62 seconds)\n",
      "Cbc0010I After 788 nodes, 410 on tree, 7822060.1 best solution, best possible 12118923 (275.35 seconds)\n",
      "Cbc0010I After 790 nodes, 410 on tree, 7822060.1 best solution, best possible 12118923 (276.13 seconds)\n",
      "Cbc0010I After 792 nodes, 410 on tree, 7822060.1 best solution, best possible 12118923 (277.07 seconds)\n",
      "Cbc0010I After 798 nodes, 413 on tree, 7822060.1 best solution, best possible 12118923 (278.72 seconds)\n",
      "Cbc0010I After 804 nodes, 416 on tree, 7822060.1 best solution, best possible 12118923 (280.75 seconds)\n",
      "Cbc0010I After 811 nodes, 421 on tree, 7822060.1 best solution, best possible 12118923 (281.55 seconds)\n",
      "Cbc0010I After 815 nodes, 421 on tree, 7822060.1 best solution, best possible 12118923 (282.83 seconds)\n",
      "Cbc0010I After 820 nodes, 425 on tree, 7822060.1 best solution, best possible 12118923 (283.74 seconds)\n",
      "Cbc0010I After 824 nodes, 427 on tree, 7822060.1 best solution, best possible 12118923 (284.66 seconds)\n",
      "Cbc0010I After 829 nodes, 431 on tree, 7822060.1 best solution, best possible 12118923 (285.83 seconds)\n",
      "Cbc0010I After 835 nodes, 434 on tree, 7822060.1 best solution, best possible 12118923 (287.18 seconds)\n",
      "Cbc0010I After 839 nodes, 436 on tree, 7822060.1 best solution, best possible 12118923 (288.60 seconds)\n",
      "Cbc0010I After 843 nodes, 437 on tree, 7822060.1 best solution, best possible 12118923 (289.44 seconds)\n",
      "Cbc0010I After 844 nodes, 438 on tree, 7822060.1 best solution, best possible 12118923 (290.22 seconds)\n",
      "Cbc0010I After 847 nodes, 439 on tree, 7822060.1 best solution, best possible 12118923 (291.67 seconds)\n",
      "Cbc0010I After 851 nodes, 441 on tree, 7822060.1 best solution, best possible 12118923 (292.90 seconds)\n",
      "Cbc0010I After 856 nodes, 444 on tree, 7822060.1 best solution, best possible 12118923 (294.26 seconds)\n",
      "Cbc0010I After 863 nodes, 449 on tree, 7822060.1 best solution, best possible 12118923 (295.01 seconds)\n",
      "Cbc0010I After 865 nodes, 449 on tree, 7822060.1 best solution, best possible 12118923 (295.94 seconds)\n",
      "Cbc0010I After 870 nodes, 451 on tree, 7822060.1 best solution, best possible 12118923 (297.05 seconds)\n",
      "Cbc0010I After 873 nodes, 452 on tree, 7822060.1 best solution, best possible 12118923 (298.05 seconds)\n",
      "Cbc0010I After 880 nodes, 455 on tree, 7822060.1 best solution, best possible 12118923 (299.09 seconds)\n",
      "Cbc0010I After 883 nodes, 456 on tree, 7822060.1 best solution, best possible 12118923 (300.08 seconds)\n",
      "Cbc0010I After 887 nodes, 457 on tree, 7822060.1 best solution, best possible 12118923 (301.12 seconds)\n",
      "Cbc0010I After 892 nodes, 460 on tree, 7822060.1 best solution, best possible 12118923 (302.15 seconds)\n",
      "Cbc0010I After 895 nodes, 462 on tree, 7822060.1 best solution, best possible 12118923 (303.02 seconds)\n",
      "Cbc0010I After 900 nodes, 465 on tree, 7822060.1 best solution, best possible 12118923 (304.01 seconds)\n",
      "Cbc0010I After 904 nodes, 467 on tree, 7822060.1 best solution, best possible 12118923 (305.08 seconds)\n",
      "Cbc0010I After 908 nodes, 469 on tree, 7822060.1 best solution, best possible 12118923 (306.09 seconds)\n",
      "Cbc0010I After 914 nodes, 473 on tree, 7822060.1 best solution, best possible 12118923 (307.14 seconds)\n",
      "Cbc0010I After 917 nodes, 473 on tree, 7822060.1 best solution, best possible 12118923 (308.21 seconds)\n",
      "Cbc0010I After 919 nodes, 474 on tree, 7822060.1 best solution, best possible 12118923 (308.97 seconds)\n",
      "Cbc0010I After 923 nodes, 476 on tree, 7822060.1 best solution, best possible 12118923 (310.10 seconds)\n",
      "Cbc0010I After 928 nodes, 479 on tree, 7822060.1 best solution, best possible 12118923 (310.82 seconds)\n",
      "Cbc0010I After 929 nodes, 479 on tree, 7822060.1 best solution, best possible 12118923 (311.72 seconds)\n",
      "Cbc0010I After 934 nodes, 482 on tree, 7822060.1 best solution, best possible 12118923 (313.10 seconds)\n",
      "Cbc0010I After 938 nodes, 484 on tree, 7822060.1 best solution, best possible 12118923 (314.23 seconds)\n",
      "Cbc0010I After 946 nodes, 490 on tree, 7822060.1 best solution, best possible 12118923 (315.52 seconds)\n",
      "Cbc0010I After 950 nodes, 492 on tree, 7822060.1 best solution, best possible 12118923 (316.50 seconds)\n",
      "Cbc0010I After 953 nodes, 492 on tree, 7822060.1 best solution, best possible 12118923 (317.71 seconds)\n",
      "Cbc0010I After 958 nodes, 494 on tree, 7822060.1 best solution, best possible 12118923 (319.28 seconds)\n",
      "Cbc0010I After 964 nodes, 498 on tree, 7822060.1 best solution, best possible 12118923 (320.00 seconds)\n",
      "Cbc0010I After 967 nodes, 500 on tree, 7822060.1 best solution, best possible 12118923 (320.77 seconds)\n",
      "Cbc0010I After 971 nodes, 503 on tree, 7822060.1 best solution, best possible 12118923 (321.65 seconds)\n",
      "Cbc0010I After 972 nodes, 503 on tree, 7822060.1 best solution, best possible 12118923 (322.57 seconds)\n",
      "Cbc0010I After 976 nodes, 505 on tree, 7822060.1 best solution, best possible 12118923 (323.35 seconds)\n",
      "Cbc0010I After 977 nodes, 506 on tree, 7822060.1 best solution, best possible 12118923 (324.05 seconds)\n",
      "Cbc0010I After 980 nodes, 507 on tree, 7822060.1 best solution, best possible 12118923 (325.41 seconds)\n",
      "Cbc0010I After 986 nodes, 510 on tree, 7822060.1 best solution, best possible 12118923 (326.16 seconds)\n",
      "Cbc0010I After 989 nodes, 512 on tree, 7822060.1 best solution, best possible 12118923 (327.18 seconds)\n",
      "Cbc0010I After 994 nodes, 514 on tree, 7822060.1 best solution, best possible 12118923 (328.27 seconds)\n",
      "Cbc0010I After 996 nodes, 514 on tree, 7822060.1 best solution, best possible 12118923 (329.29 seconds)\n",
      "Cbc0010I After 1005 nodes, 522 on tree, 7822060.1 best solution, best possible 12118923 (330.00 seconds)\n",
      "Cbc0010I After 1010 nodes, 527 on tree, 7822060.1 best solution, best possible 12118923 (330.78 seconds)\n",
      "Cbc0010I After 1014 nodes, 531 on tree, 7822060.1 best solution, best possible 12118923 (331.56 seconds)\n",
      "Cbc0010I After 1021 nodes, 538 on tree, 7822060.1 best solution, best possible 12118923 (332.44 seconds)\n",
      "Cbc0010I After 1034 nodes, 551 on tree, 7822060.1 best solution, best possible 12118923 (333.16 seconds)\n",
      "Cbc0010I After 1036 nodes, 553 on tree, 7822060.1 best solution, best possible 12118923 (333.89 seconds)\n",
      "Cbc0010I After 1046 nodes, 563 on tree, 7822060.1 best solution, best possible 12118923 (334.67 seconds)\n",
      "Cbc0010I After 1051 nodes, 568 on tree, 7822060.1 best solution, best possible 12118923 (335.40 seconds)\n",
      "Cbc0010I After 1065 nodes, 582 on tree, 7822060.1 best solution, best possible 12118923 (336.12 seconds)\n",
      "Cbc0010I After 1066 nodes, 583 on tree, 7822060.1 best solution, best possible 12118923 (337.28 seconds)\n",
      "Cbc0010I After 1076 nodes, 593 on tree, 7822060.1 best solution, best possible 12118923 (338.01 seconds)\n",
      "Cbc0010I After 1084 nodes, 601 on tree, 7822060.1 best solution, best possible 12118923 (338.97 seconds)\n",
      "Cbc0010I After 1088 nodes, 605 on tree, 7822060.1 best solution, best possible 12118923 (340.93 seconds)\n",
      "Cbc0010I After 1094 nodes, 611 on tree, 7822060.1 best solution, best possible 12118923 (341.86 seconds)\n",
      "Cbc0010I After 1100 nodes, 617 on tree, 7822060.1 best solution, best possible 12118923 (342.61 seconds)\n",
      "Cbc0010I After 1101 nodes, 618 on tree, 7822060.1 best solution, best possible 12118923 (344.22 seconds)\n",
      "Cbc0010I After 1107 nodes, 624 on tree, 7822060.1 best solution, best possible 12118923 (344.99 seconds)\n",
      "Cbc0010I After 1115 nodes, 632 on tree, 7822060.1 best solution, best possible 12118923 (345.81 seconds)\n",
      "Cbc0010I After 1118 nodes, 635 on tree, 7822060.1 best solution, best possible 12118923 (347.11 seconds)\n",
      "Cbc0010I After 1135 nodes, 652 on tree, 7822060.1 best solution, best possible 12118923 (347.82 seconds)\n",
      "Cbc0010I After 1140 nodes, 657 on tree, 7822060.1 best solution, best possible 12118923 (350.23 seconds)\n",
      "Cbc0010I After 1146 nodes, 663 on tree, 7822060.1 best solution, best possible 12118923 (351.09 seconds)\n",
      "Cbc0010I After 1168 nodes, 685 on tree, 7822060.1 best solution, best possible 12118923 (351.79 seconds)\n",
      "Cbc0010I After 1190 nodes, 707 on tree, 7822060.1 best solution, best possible 12118923 (352.50 seconds)\n",
      "Cbc0010I After 1203 nodes, 720 on tree, 7822060.1 best solution, best possible 12118923 (354.12 seconds)\n",
      "Cbc0010I After 1209 nodes, 726 on tree, 7822060.1 best solution, best possible 12118923 (355.06 seconds)\n",
      "Cbc0010I After 1215 nodes, 732 on tree, 7822060.1 best solution, best possible 12118923 (356.98 seconds)\n",
      "Cbc0010I After 1219 nodes, 736 on tree, 7822060.1 best solution, best possible 12118923 (359.68 seconds)\n",
      "Cbc0010I After 1222 nodes, 739 on tree, 7822060.1 best solution, best possible 12118923 (362.21 seconds)\n",
      "Cbc0010I After 1224 nodes, 741 on tree, 7822060.1 best solution, best possible 12118923 (363.05 seconds)\n",
      "Cbc0010I After 1229 nodes, 746 on tree, 7822060.1 best solution, best possible 12118923 (365.01 seconds)\n",
      "Cbc0010I After 1231 nodes, 748 on tree, 7822060.1 best solution, best possible 12118923 (365.87 seconds)\n",
      "Cbc0010I After 1234 nodes, 751 on tree, 7822060.1 best solution, best possible 12118923 (367.86 seconds)\n",
      "Cbc0010I After 1241 nodes, 758 on tree, 7822060.1 best solution, best possible 12118923 (368.91 seconds)\n",
      "Cbc0010I After 1243 nodes, 760 on tree, 7822060.1 best solution, best possible 12118923 (370.30 seconds)\n",
      "Cbc0010I After 1248 nodes, 765 on tree, 7822060.1 best solution, best possible 12118923 (371.08 seconds)\n",
      "Cbc0010I After 1255 nodes, 772 on tree, 7822060.1 best solution, best possible 12118923 (373.00 seconds)\n",
      "Cbc0010I After 1267 nodes, 784 on tree, 7822060.1 best solution, best possible 12118923 (373.77 seconds)\n",
      "Cbc0010I After 1286 nodes, 803 on tree, 7822060.1 best solution, best possible 12118923 (374.47 seconds)\n",
      "Cbc0010I After 1294 nodes, 811 on tree, 7822060.1 best solution, best possible 12118923 (376.02 seconds)\n",
      "Cbc0010I After 1314 nodes, 831 on tree, 7822060.1 best solution, best possible 12118923 (376.72 seconds)\n",
      "Cbc0010I After 1331 nodes, 848 on tree, 7822060.1 best solution, best possible 12118923 (378.35 seconds)\n",
      "Cbc0010I After 1344 nodes, 861 on tree, 7822060.1 best solution, best possible 12118923 (379.07 seconds)\n",
      "Cbc0010I After 1358 nodes, 875 on tree, 7822060.1 best solution, best possible 12118923 (381.04 seconds)\n",
      "Cbc0010I After 1370 nodes, 887 on tree, 7822060.1 best solution, best possible 12118923 (381.75 seconds)\n",
      "Cbc0010I After 1383 nodes, 900 on tree, 7822060.1 best solution, best possible 12118923 (383.26 seconds)\n",
      "Cbc0010I After 1396 nodes, 913 on tree, 7822060.1 best solution, best possible 12118923 (384.00 seconds)\n",
      "Cbc0010I After 1406 nodes, 923 on tree, 7822060.1 best solution, best possible 12118923 (385.97 seconds)\n",
      "Cbc0010I After 1411 nodes, 928 on tree, 7822060.1 best solution, best possible 12118923 (387.37 seconds)\n",
      "Cbc0010I After 1436 nodes, 953 on tree, 7822060.1 best solution, best possible 12118923 (388.09 seconds)\n",
      "Cbc0010I After 1464 nodes, 981 on tree, 7822060.1 best solution, best possible 12118923 (388.80 seconds)\n",
      "Cbc0010I After 1489 nodes, 1006 on tree, 7822060.1 best solution, best possible 12118923 (390.66 seconds)\n",
      "Cbc0010I After 1511 nodes, 1028 on tree, 7822060.1 best solution, best possible 12118923 (391.37 seconds)\n",
      "Cbc0010I After 1523 nodes, 1040 on tree, 7822060.1 best solution, best possible 12118923 (393.25 seconds)\n",
      "Cbc0010I After 1538 nodes, 1055 on tree, 7822060.1 best solution, best possible 12118923 (393.96 seconds)\n",
      "Cbc0010I After 1551 nodes, 1068 on tree, 7822060.1 best solution, best possible 12118923 (395.85 seconds)\n",
      "Cbc0010I After 1581 nodes, 1098 on tree, 7822060.1 best solution, best possible 12118923 (396.56 seconds)\n",
      "Cbc0010I After 1606 nodes, 1123 on tree, 7822060.1 best solution, best possible 12118923 (397.28 seconds)\n",
      "Cbc0010I After 1627 nodes, 1144 on tree, 7822060.1 best solution, best possible 12118923 (397.99 seconds)\n",
      "Cbc0010I After 1630 nodes, 1147 on tree, 7822060.1 best solution, best possible 12118923 (399.32 seconds)\n",
      "Cbc0010I After 1648 nodes, 1165 on tree, 7822060.1 best solution, best possible 12118923 (400.07 seconds)\n",
      "Cbc0010I After 1655 nodes, 1172 on tree, 7822060.1 best solution, best possible 12118923 (400.84 seconds)\n",
      "Cbc0010I After 1656 nodes, 1173 on tree, 7822060.1 best solution, best possible 12118923 (402.17 seconds)\n",
      "Cbc0010I After 1670 nodes, 1187 on tree, 7822060.1 best solution, best possible 12118923 (402.90 seconds)\n",
      "Cbc0010I After 1691 nodes, 1208 on tree, 7822060.1 best solution, best possible 12118923 (403.63 seconds)\n",
      "Cbc0010I After 1698 nodes, 1215 on tree, 7822060.1 best solution, best possible 12118923 (404.93 seconds)\n",
      "Cbc0010I After 1723 nodes, 1240 on tree, 7822060.1 best solution, best possible 12118923 (405.63 seconds)\n",
      "Cbc0010I After 1740 nodes, 1257 on tree, 7822060.1 best solution, best possible 12118923 (407.04 seconds)\n",
      "Cbc0010I After 1747 nodes, 1264 on tree, 7822060.1 best solution, best possible 12118923 (409.33 seconds)\n",
      "Cbc0010I After 1750 nodes, 1267 on tree, 7822060.1 best solution, best possible 12118923 (410.91 seconds)\n",
      "Cbc0010I After 1784 nodes, 1301 on tree, 7822060.1 best solution, best possible 12118923 (411.62 seconds)\n",
      "Cbc0010I After 1804 nodes, 1321 on tree, 7822060.1 best solution, best possible 12118923 (412.33 seconds)\n",
      "Cbc0010I After 1817 nodes, 1334 on tree, 7822060.1 best solution, best possible 12118923 (414.03 seconds)\n",
      "Cbc0010I After 1835 nodes, 1352 on tree, 7822060.1 best solution, best possible 12118923 (414.75 seconds)\n",
      "Cbc0010I After 1854 nodes, 1371 on tree, 7822060.1 best solution, best possible 12118923 (415.58 seconds)\n",
      "Cbc0010I After 1866 nodes, 1383 on tree, 7822060.1 best solution, best possible 12118923 (416.70 seconds)\n",
      "Cbc0010I After 1871 nodes, 1388 on tree, 7822060.1 best solution, best possible 12118923 (418.05 seconds)\n",
      "Cbc0010I After 1884 nodes, 1401 on tree, 7822060.1 best solution, best possible 12118923 (418.77 seconds)\n",
      "Cbc0010I After 1892 nodes, 1409 on tree, 7822060.1 best solution, best possible 12118923 (419.60 seconds)\n",
      "Cbc0010I After 1908 nodes, 1425 on tree, 7822060.1 best solution, best possible 12118923 (420.33 seconds)\n",
      "Cbc0010I After 1914 nodes, 1431 on tree, 7822060.1 best solution, best possible 12118923 (421.50 seconds)\n",
      "Cbc0010I After 1936 nodes, 1453 on tree, 7822060.1 best solution, best possible 12118923 (422.22 seconds)\n",
      "Cbc0010I After 1958 nodes, 1475 on tree, 7822060.1 best solution, best possible 12118923 (423.03 seconds)\n",
      "Cbc0010I After 1976 nodes, 1493 on tree, 7822060.1 best solution, best possible 12118923 (424.62 seconds)\n",
      "Cbc0010I After 1985 nodes, 1502 on tree, 7822060.1 best solution, best possible 12118923 (425.38 seconds)\n",
      "Cbc0010I After 2012 nodes, 1529 on tree, 7822060.1 best solution, best possible 12118923 (426.12 seconds)\n",
      "Cbc0010I After 2019 nodes, 1536 on tree, 7822060.1 best solution, best possible 12118923 (427.24 seconds)\n",
      "Cbc0010I After 2035 nodes, 1552 on tree, 7822060.1 best solution, best possible 12118923 (427.96 seconds)\n",
      "Cbc0010I After 2060 nodes, 1577 on tree, 7822060.1 best solution, best possible 12118923 (428.67 seconds)\n",
      "Cbc0010I After 2087 nodes, 1604 on tree, 7822060.1 best solution, best possible 12118923 (429.37 seconds)\n",
      "Cbc0010I After 2088 nodes, 1605 on tree, 7822060.1 best solution, best possible 12118923 (430.19 seconds)\n",
      "Cbc0010I After 2104 nodes, 1621 on tree, 7822060.1 best solution, best possible 12118923 (430.92 seconds)\n",
      "Cbc0010I After 2106 nodes, 1623 on tree, 7822060.1 best solution, best possible 12118923 (432.07 seconds)\n",
      "Cbc0010I After 2134 nodes, 1651 on tree, 7822060.1 best solution, best possible 12118923 (432.80 seconds)\n",
      "Cbc0010I After 2136 nodes, 1653 on tree, 7822060.1 best solution, best possible 12118923 (433.76 seconds)\n",
      "Cbc0010I After 2161 nodes, 1678 on tree, 7822060.1 best solution, best possible 12118923 (434.48 seconds)\n",
      "Cbc0010I After 2173 nodes, 1690 on tree, 7822060.1 best solution, best possible 12118923 (435.78 seconds)\n",
      "Cbc0010I After 2192 nodes, 1709 on tree, 7822060.1 best solution, best possible 12118923 (436.48 seconds)\n",
      "Cbc0010I After 2193 nodes, 1710 on tree, 7822060.1 best solution, best possible 12118923 (437.82 seconds)\n",
      "Cbc0010I After 2215 nodes, 1732 on tree, 7822060.1 best solution, best possible 12118923 (438.70 seconds)\n",
      "Cbc0010I After 2224 nodes, 1741 on tree, 7822060.1 best solution, best possible 12118923 (440.21 seconds)\n",
      "Cbc0010I After 2238 nodes, 1755 on tree, 7822060.1 best solution, best possible 12118923 (441.47 seconds)\n",
      "Cbc0010I After 2243 nodes, 1760 on tree, 7822060.1 best solution, best possible 12118923 (442.61 seconds)\n",
      "Cbc0010I After 2251 nodes, 1768 on tree, 7822060.1 best solution, best possible 12118923 (443.38 seconds)\n",
      "Cbc0010I After 2259 nodes, 1776 on tree, 7822060.1 best solution, best possible 12118923 (444.24 seconds)\n",
      "Cbc0010I After 2275 nodes, 1792 on tree, 7822060.1 best solution, best possible 12118923 (445.00 seconds)\n",
      "Cbc0010I After 2276 nodes, 1793 on tree, 7822060.1 best solution, best possible 12118923 (446.08 seconds)\n",
      "Cbc0010I After 2283 nodes, 1800 on tree, 7822060.1 best solution, best possible 12118923 (446.80 seconds)\n",
      "Cbc0010I After 2285 nodes, 1802 on tree, 7822060.1 best solution, best possible 12118923 (447.75 seconds)\n",
      "Cbc0010I After 2291 nodes, 1808 on tree, 7822060.1 best solution, best possible 12118923 (448.63 seconds)\n",
      "Cbc0010I After 2292 nodes, 1809 on tree, 7822060.1 best solution, best possible 12118923 (449.92 seconds)\n",
      "Cbc0010I After 2299 nodes, 1816 on tree, 7822060.1 best solution, best possible 12118923 (450.64 seconds)\n",
      "Cbc0010I After 2303 nodes, 1820 on tree, 7822060.1 best solution, best possible 12118923 (451.34 seconds)\n",
      "Cbc0010I After 2344 nodes, 1861 on tree, 7822060.1 best solution, best possible 12118923 (452.04 seconds)\n",
      "Cbc0010I After 2383 nodes, 1900 on tree, 7822060.1 best solution, best possible 12118923 (452.75 seconds)\n",
      "Cbc0010I After 2398 nodes, 1915 on tree, 7822060.1 best solution, best possible 12118923 (454.23 seconds)\n",
      "Cbc0010I After 2414 nodes, 1931 on tree, 7822060.1 best solution, best possible 12118923 (454.94 seconds)\n",
      "Cbc0010I After 2419 nodes, 1936 on tree, 7822060.1 best solution, best possible 12118923 (456.27 seconds)\n",
      "Cbc0010I After 2425 nodes, 1942 on tree, 7822060.1 best solution, best possible 12118923 (456.98 seconds)\n",
      "Cbc0010I After 2429 nodes, 1946 on tree, 7822060.1 best solution, best possible 12118923 (457.95 seconds)\n",
      "Cbc0010I After 2433 nodes, 1950 on tree, 7822060.1 best solution, best possible 12118923 (459.97 seconds)\n",
      "Cbc0010I After 2459 nodes, 1976 on tree, 7822060.1 best solution, best possible 12118923 (460.69 seconds)\n",
      "Cbc0010I After 2461 nodes, 1978 on tree, 7822060.1 best solution, best possible 12118923 (461.62 seconds)\n",
      "Cbc0010I After 2470 nodes, 1987 on tree, 7822060.1 best solution, best possible 12118923 (462.42 seconds)\n",
      "Cbc0010I After 2474 nodes, 1991 on tree, 7822060.1 best solution, best possible 12118923 (463.62 seconds)\n",
      "Cbc0010I After 2479 nodes, 1996 on tree, 7822060.1 best solution, best possible 12118923 (464.81 seconds)\n",
      "Cbc0010I After 2487 nodes, 2004 on tree, 7822060.1 best solution, best possible 12118923 (465.51 seconds)\n",
      "Cbc0010I After 2493 nodes, 2010 on tree, 7822060.1 best solution, best possible 12118923 (466.76 seconds)\n",
      "Cbc0010I After 2507 nodes, 2024 on tree, 7822060.1 best solution, best possible 12118923 (467.50 seconds)\n",
      "Cbc0010I After 2514 nodes, 2031 on tree, 7822060.1CPU times: user 9min 51s, sys: 13.8 s, total: 10min 4s\n",
      "Wall time: 10min 7s\n",
      "\n",
      "Optimization status: OptimizationStatus.FEASIBLE\n",
      "Optimal solution: 8164278.791609176\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "8164278.791609176"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n = 6\n",
    "inst = load_instance('instances/instance_'+str(n)+'.json')\n",
    "solve(inst)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " best solution, best possible 12118923 (468.71 seconds)\n",
      "Cbc0010I After 2526 nodes, 2043 on tree, 7822060.1 best solution, best possible 12118923 (469.46 seconds)\n",
      "Cbc0010I After 2532 nodes, 2049 on tree, 7822060.1 best solution, best possible 12118923 (471.12 seconds)\n",
      "Cbc0010I After 2543 nodes, 2060 on tree, 7822060.1 best solution, best possible 12118923 (472.96 seconds)\n",
      "Cbc0010I After 2560 nodes, 2077 on tree, 7822060.1 best solution, best possible 12118923 (473.67 seconds)\n",
      "Cbc0010I After 2580 nodes, 2097 on tree, 7822060.1 best solution, best possible 12118923 (474.86 seconds)\n",
      "Cbc0010I After 2598 nodes, 2115 on tree, 7822060.1 best solution, best possible 12118923 (475.68 seconds)\n",
      "Cbc0010I After 2605 nodes, 2122 on tree, 7822060.1 best solution, best possible 12118923 (476.95 seconds)\n",
      "Cbc0010I After 2608 nodes, 2125 on tree, 7822060.1 best solution, best possible 12118923 (478.77 seconds)\n",
      "Cbc0010I After 2609 nodes, 2126 on tree, 7822060.1 best solution, best possible 12118923 (480.33 seconds)\n",
      "Cbc0010I After 2623 nodes, 2140 on tree, 7822060.1 best solution, best possible 12118923 (481.04 seconds)\n",
      "Cbc0010I After 2649 nodes, 2166 on tree, 7822060.1 best solution, best possible 12118923 (481.76 seconds)\n",
      "Cbc0010I After 2664 nodes, 2181 on tree, 7822060.1 best solution, best possible 12118923 (482.78 seconds)\n",
      "Cbc0010I After 2668 nodes, 2185 on tree, 7822060.1 best solution, best possible 12118923 (484.17 seconds)\n",
      "Cbc0010I After 2670 nodes, 2187 on tree, 7822060.1 best solution, best possible 12118923 (486.28 seconds)\n",
      "Cbc0010I After 2686 nodes, 2203 on tree, 7822060.1 best solution, best possible 12118923 (487.00 seconds)\n",
      "Cbc0010I After 2705 nodes, 2222 on tree, 7822060.1 best solution, best possible 12118923 (487.73 seconds)\n",
      "Cbc0010I After 2723 nodes, 2240 on tree, 7822060.1 best solution, best possible 12118923 (488.46 seconds)\n",
      "Cbc0010I After 2740 nodes, 2257 on tree, 7822060.1 best solution, best possible 12118923 (489.17 seconds)\n",
      "Cbc0010I After 2756 nodes, 2273 on tree, 7822060.1 best solution, best possible 12118923 (489.90 seconds)\n",
      "Cbc0010I After 2797 nodes, 2314 on tree, 7822060.1 best solution, best possible 12118923 (490.62 seconds)\n",
      "Cbc0010I After 2844 nodes, 2361 on tree, 7822060.1 best solution, best possible 12118923 (491.32 seconds)\n",
      "Cbc0010I After 2892 nodes, 2409 on tree, 7822060.1 best solution, best possible 12118923 (492.03 seconds)\n",
      "Cbc0004I Integer solution of 8164278.8 found after 287789 iterations and 2933 nodes (493.01 seconds)\n",
      "Cbc0010I After 2933 nodes, 2448 on tree, 8164278.8 best solution, best possible 12118923 (493.01 seconds)\n",
      "Cbc0010I After 2934 nodes, 2448 on tree, 8164278.8 best solution, best possible 12118923 (493.76 seconds)\n",
      "Cbc0010I After 2938 nodes, 2448 on tree, 8164278.8 best solution, best possible 12118923 (494.94 seconds)\n",
      "Cbc0010I After 2944 nodes, 2451 on tree, 8164278.8 best solution, best possible 12118923 (496.07 seconds)\n",
      "Cbc0010I After 2947 nodes, 2452 on tree, 8164278.8 best solution, best possible 12118923 (496.94 seconds)\n",
      "Cbc0010I After 2949 nodes, 2452 on tree, 8164278.8 best solution, best possible 12118923 (498.06 seconds)\n",
      "Cbc0010I After 2953 nodes, 2452 on tree, 8164278.8 best solution, best possible 12118923 (499.54 seconds)\n",
      "Cbc0010I After 2956 nodes, 2452 on tree, 8164278.8 best solution, best possible 12118923 (500.78 seconds)\n",
      "Cbc0010I After 2961 nodes, 2454 on tree, 8164278.8 best solution, best possible 12118923 (502.35 seconds)\n",
      "Cbc0010I After 2964 nodes, 2454 on tree, 8164278.8 best solution, best possible 12118923 (503.89 seconds)\n",
      "Cbc0010I After 2968 nodes, 2454 on tree, 8164278.8 best solution, best possible 12118923 (506.17 seconds)\n",
      "Cbc0010I After 2969 nodes, 2454 on tree, 8164278.8 best solution, best possible 12118923 (507.12 seconds)\n",
      "Cbc0010I After 2972 nodes, 2456 on tree, 8164278.8 best solution, best possible 12118923 (509.43 seconds)\n",
      "Cbc0010I After 2975 nodes, 2456 on tree, 8164278.8 best solution, best possible 12118923 (510.30 seconds)\n",
      "Cbc0010I After 2978 nodes, 2456 on tree, 8164278.8 best solution, best possible 12118923 (511.71 seconds)\n",
      "Cbc0010I After 2981 nodes, 2456 on tree, 8164278.8 best solution, best possible 12118923 (512.97 seconds)\n",
      "Cbc0010I After 2983 nodes, 2456 on tree, 8164278.8 best solution, best possible 12118923 (514.43 seconds)\n",
      "Cbc0010I After 2987 nodes, 2456 on tree, 8164278.8 best solution, best possible 12118923 (515.79 seconds)\n",
      "Cbc0010I After 2989 nodes, 2456 on tree, 8164278.8 best solution, best possible 12118923 (516.99 seconds)\n",
      "Cbc0010I After 2993 nodes, 2457 on tree, 8164278.8 best solution, best possible 12118923 (517.77 seconds)\n",
      "Cbc0010I After 2995 nodes, 2459 on tree, 8164278.8 best solution, best possible 12118923 (518.72 seconds)\n",
      "Cbc0010I After 3000 nodes, 2461 on tree, 8164278.8 best solution, best possible 12118923 (520.46 seconds)\n",
      "Cbc0010I After 3006 nodes, 2465 on tree, 8164278.8 best solution, best possible 12118923 (522.63 seconds)\n",
      "Cbc0010I After 3011 nodes, 2466 on tree, 8164278.8 best solution, best possible 12118923 (524.66 seconds)\n",
      "Cbc0010I After 3019 nodes, 2472 on tree, 8164278.8 best solution, best possible 12118923 (525.66 seconds)\n",
      "Cbc0010I After 3022 nodes, 2474 on tree, 8164278.8 best solution, best possible 12118923 (526.51 seconds)\n",
      "Cbc0010I After 3026 nodes, 2475 on tree, 8164278.8 best solution, best possible 12118923 (527.86 seconds)\n",
      "Cbc0010I After 3030 nodes, 2477 on tree, 8164278.8 best solution, best possible 12118923 (528.58 seconds)\n",
      "Cbc0010I After 3031 nodes, 2477 on tree, 8164278.8 best solution, best possible 12118923 (529.32 seconds)\n",
      "Cbc0010I After 3035 nodes, 2479 on tree, 8164278.8 best solution, best possible 12118923 (531.36 seconds)\n",
      "Cbc0010I After 3041 nodes, 2482 on tree, 8164278.8 best solution, best possible 12118923 (532.31 seconds)\n",
      "Cbc0010I After 3046 nodes, 2485 on tree, 8164278.8 best solution, best possible 12118923 (534.37 seconds)\n",
      "Cbc0010I After 3052 nodes, 2490 on tree, 8164278.8 best solution, best possible 12118923 (535.07 seconds)\n",
      "Cbc0010I After 3060 nodes, 2494 on tree, 8164278.8 best solution, best possible 12118923 (536.85 seconds)\n",
      "Cbc0010I After 3068 nodes, 2500 on tree, 8164278.8 best solution, best possible 12118923 (537.58 seconds)\n",
      "Cbc0010I After 3074 nodes, 2503 on tree, 8164278.8 best solution, best possible 12118923 (538.76 seconds)\n",
      "Cbc0010I After 3079 nodes, 2504 on tree, 8164278.8 best solution, best possible 12118923 (539.88 seconds)\n",
      "Cbc0010I After 3085 nodes, 2507 on tree, 8164278.8 best solution, best possible 12118923 (540.93 seconds)\n",
      "Cbc0010I After 3092 nodes, 2511 on tree, 8164278.8 best solution, best possible 12118923 (542.00 seconds)\n",
      "Cbc0010I After 3095 nodes, 2511 on tree, 8164278.8 best solution, best possible 12118923 (542.95 seconds)\n",
      "Cbc0010I After 3100 nodes, 2514 on tree, 8164278.8 best solution, best possible 12118923 (543.93 seconds)\n",
      "Cbc0010I After 3102 nodes, 2514 on tree, 8164278.8 best solution, best possible 12118923 (544.65 seconds)\n",
      "Cbc0010I After 3103 nodes, 2514 on tree, 8164278.8 best solution, best possible 12118923 (546.21 seconds)\n",
      "Cbc0010I After 3109 nodes, 2517 on tree, 8164278.8 best solution, best possible 12118923 (546.91 seconds)\n",
      "Cbc0010I After 3116 nodes, 2521 on tree, 8164278.8 best solution, best possible 12118923 (548.15 seconds)\n",
      "Cbc0010I After 3120 nodes, 2523 on tree, 8164278.8 best solution, best possible 12118923 (549.29 seconds)\n",
      "Cbc0010I After 3123 nodes, 2523 on tree, 8164278.8 best solution, best possible 12118923 (550.81 seconds)\n",
      "Cbc0010I After 3128 nodes, 2526 on tree, 8164278.8 best solution, best possible 12118923 (551.61 seconds)\n",
      "Cbc0010I After 3129 nodes, 2526 on tree, 8164278.8 best solution, best possible 12118923 (552.67 seconds)\n",
      "Cbc0010I After 3135 nodes, 2531 on tree, 8164278.8 best solution, best possible 12118923 (553.75 seconds)\n",
      "Cbc0010I After 3137 nodes, 2531 on tree, 8164278.8 best solution, best possible 12118923 (554.94 seconds)\n",
      "Cbc0010I After 3141 nodes, 2533 on tree, 8164278.8 best solution, best possible 12118923 (556.04 seconds)\n",
      "Cbc0010I After 3147 nodes, 2536 on tree, 8164278.8 best solution, best possible 12118923 (557.10 seconds)\n",
      "Cbc0010I After 3154 nodes, 2541 on tree, 8164278.8 best solution, best possible 12118923 (558.37 seconds)\n",
      "Cbc0010I After 3156 nodes, 2541 on tree, 8164278.8 best solution, best possible 12118923 (559.26 seconds)\n",
      "Cbc0010I After 3162 nodes, 2545 on tree, 8164278.8 best solution, best possible 12118923 (560.22 seconds)\n",
      "Cbc0010I After 3166 nodes, 2546 on tree, 8164278.8 best solution, best possible 12118923 (561.32 seconds)\n",
      "Cbc0010I After 3170 nodes, 2549 on tree, 8164278.8 best solution, best possible 12118923 (562.32 seconds)\n",
      "Cbc0010I After 3174 nodes, 2550 on tree, 8164278.8 best solution, best possible 12118923 (563.63 seconds)\n",
      "Cbc0010I After 3180 nodes, 2554 on tree, 8164278.8 best solution, best possible 12118923 (564.82 seconds)\n",
      "Cbc0010I After 3183 nodes, 2554 on tree, 8164278.8 best solution, best possible 12118923 (566.29 seconds)\n",
      "Cbc0010I After 3188 nodes, 2557 on tree, 8164278.8 best solution, best possible 12118923 (567.15 seconds)\n",
      "Cbc0010I After 3190 nodes, 2558 on tree, 8164278.8 best solution, best possible 12118923 (567.87 seconds)\n",
      "Cbc0010I After 3193 nodes, 2560 on tree, 8164278.8 best solution, best possible 12118923 (568.68 seconds)\n",
      "Cbc0010I After 3194 nodes, 2560 on tree, 8164278.8 best solution, best possible 12118923 (570.72 seconds)\n",
      "Cbc0010I After 3198 nodes, 2561 on tree, 8164278.8 best solution, best possible 12118923 (571.55 seconds)\n",
      "Cbc0010I After 3204 nodes, 2566 on tree, 8164278.8 best solution, best possible 12118923 (572.82 seconds)\n",
      "Cbc0010I After 3210 nodes, 2568 on tree, 8164278.8 best solution, best possible 12118923 (574.51 seconds)\n",
      "Cbc0010I After 3212 nodes, 2569 on tree, 8164278.8 best solution, best possible 12118923 (575.91 seconds)\n",
      "Cbc0010I After 3218 nodes, 2572 on tree, 8164278.8 best solution, best possible 12118923 (577.58 seconds)\n",
      "Cbc0010I After 3220 nodes, 2574 on tree, 8164278.8 best solution, best possible 12118923 (578.38 seconds)\n",
      "Cbc0010I After 3225 nodes, 2575 on tree, 8164278.8 best solution, best possible 12118923 (579.71 seconds)\n",
      "Cbc0010I After 3230 nodes, 2578 on tree, 8164278.8 best solution, best possible 12118923 (580.86 seconds)\n",
      "Cbc0010I After 3231 nodes, 2578 on tree, 8164278.8 best solution, best possible 12118923 (581.93 seconds)\n",
      "Cbc0010I After 3234 nodes, 2579 on tree, 8164278.8 best solution, best possible 12118923 (582.89 seconds)\n",
      "Cbc0010I After 3239 nodes, 2582 on tree, 8164278.8 best solution, best possible 12118923 (584.21 seconds)\n",
      "Cbc0010I After 3244 nodes, 2585 on tree, 8164278.8 best solution, best possible 12118923 (585.24 seconds)\n",
      "Cbc0010I After 3248 nodes, 2588 on tree, 8164278.8 best solution, best possible 12118923 (586.83 seconds)\n",
      "Cbc0010I After 3253 nodes, 2591 on tree, 8164278.8 best solution, best possible 12118923 (587.72 seconds)\n",
      "Cbc0010I After 3257 nodes, 2593 on tree, 8164278.8 best solution, best possible 12118923 (588.55 seconds)\n",
      "Cbc0010I After 3259 nodes, 2593 on tree, 8164278.8 best solution, best possible 12118923 (589.47 seconds)\n",
      "Cbc0010I After 3260 nodes, 2593 on tree, 8164278.8 best solution, best possible 12118923 (590.30 seconds)\n",
      "Cbc0010I After 3265 nodes, 2596 on tree, 8164278.8 best solution, best possible 12118923 (591.76 seconds)\n",
      "Cbc0010I After 3270 nodes, 2599 on tree, 8164278.8 best solution, best possible 12118923 (592.93 seconds)\n",
      "Cbc0010I After 3272 nodes, 2599 on tree, 8164278.8 best solution, best possible 12118923 (594.52 seconds)\n",
      "Cbc0010I After 3275 nodes, 2600 on tree, 8164278.8 best solution, best possible 12118923 (596.17 seconds)\n",
      "Cbc0010I After 3276 nodes, 2600 on tree, 8164278.8 best solution, best possible 12118923 (597.19 seconds)\n",
      "Cbc0010I After 3282 nodes, 2603 on tree, 8164278.8 best solution, best possible 12118923 (598.61 seconds)\n",
      "Cbc0010I After 3287 nodes, 2606 on tree, 8164278.8 best solution, best possible 12118923 (599.60 seconds)\n",
      "Cbc0020I Exiting on maximum time\n",
      "Cbc0005I Partial search - best objective 8164278.8 (best possible 12118923), took 358785 iterations and 3292 nodes (600.11 seconds)\n",
      "Cbc0032I Strong branching done 7398 times (358884 iterations), fathomed 0 nodes and fixed 0 variables\n",
      "Cbc0035I Maximum depth 2091, 0 variables fixed on reduced cost\n",
      "Cbc0038I Initial state - 429 integers unsatisfied sum - 121.775\n",
      "Cbc0038I Pass   1: (9.93 seconds) suminf.    0.00000 (0) obj. 1.21459e+07 iterations 11486\n",
      "Cbc0038I Solution found of 1.21459e+07\n",
      "Cbc0038I Relaxing continuous gives 1.29492e+07\n",
      "Cbc0038I Before mini branch and bound, 26562 integers at bound fixed and 22151 continuous\n",
      "Cbc0038I Full problem 45780 rows 49500 columns, reduced to 988 rows 765 columns\n",
      "Cbc0038I Mini branch and bound improved solution from 1.29492e+07 to 1.67267e+07 (12.85 seconds)\n",
      "Cbc0038I Round again with cutoff of 1.80995e+07\n",
      "Cbc0038I Pass   2: (15.27 seconds) suminf.   10.90177 (50) obj. 1.80995e+07 iterations 1835\n",
      "Cbc0038I Pass   3: (16.33 seconds) suminf.    4.97343 (24) obj. 1.80995e+07 iterations 1372\n",
      "Cbc0038I Pass   4: (16.77 seconds) suminf.    2.28461 (12) obj. 1.80995e+07 iterations 835\n",
      "Cbc0038I Pass   5: (16.85 seconds) suminf.    1.85046 (10) obj. 1.80995e+07 iterations 84\n",
      "Cbc0038I Pass   6: (17.16 seconds) suminf.    1.97520 (7) obj. 1.80995e+07 iterations 558\n",
      "Cbc0038I Pass   7: (17.48 seconds) suminf.    0.61472 (6) obj. 1.80995e+07 iterations 289\n",
      "Cbc0038I Pass   8: (17.66 seconds) suminf.    0.31293 (4) obj. 1.80995e+07 iterations 129\n",
      "Cbc0038I Pass   9: (17.82 seconds) suminf.    0.55276 (4) obj. 1.80995e+07 iterations 367\n",
      "Cbc0038I Pass  10: (17.88 seconds) suminf.    0.43102 (2) obj. 1.80995e+07 iterations 1\n",
      "Cbc0038I Pass  11: (17.95 seconds) suminf.    0.00000 (0) obj. 1.80995e+07 iterations 46\n",
      "Cbc0038I Solution found of 1.80995e+07\n",
      "Cbc0038I Relaxing continuous gives 1.83398e+07\n",
      "Cbc0038I Before mini branch and bound, 26501 integers at bound fixed and 22094 continuous\n",
      "Cbc0038I Full problem 45780 rows 49500 columns, reduced to 1106 rows 878 columns\n",
      "Cbc0038I Mini branch and bound improved solution from 1.83398e+07 to 1.83968e+07 (26.73 seconds)\n",
      "Cbc0038I Round again with cutoff of 2.08084e+07\n",
      "Cbc0038I Pass  12: (29.67 seconds) suminf.   20.03328 (73) obj. 2.08084e+07 iterations 910\n",
      "Cbc0038I Pass  13: (31.62 seconds) suminf.   10.45351 (52) obj. 2.08084e+07 iterations 3369\n",
      "Cbc0038I Pass  14: (32.16 seconds) suminf.    9.43454 (54) obj. 2.08084e+07 iterations 828\n",
      "Cbc0038I Pass  15: (34.30 seconds) suminf.    8.65549 (30) obj. 2.08084e+07 iterations 4446\n",
      "Cbc0038I Pass  16: (34.80 seconds) suminf.    8.25807 (46) obj. 2.08084e+07 iterations 1060\n",
      "Cbc0038I Pass  17: (35.98 seconds) suminf.    8.14847 (52) obj. 2.08084e+07 iterations 2571\n",
      "Cbc0038I Pass  18: (37.64 seconds) suminf.    6.05919 (71) obj. 2.08084e+07 iterations 3068\n",
      "Cbc0038I Pass  19: (39.78 seconds) suminf.    6.69404 (91) obj. 2.08084e+07 iterations 3954\n",
      "Cbc0038I Pass  20: (40.96 seconds) suminf.    5.86454 (49) obj. 2.08084e+07 iterations 1854\n",
      "Cbc0038I Pass  21: (43.93 seconds) suminf.    8.79662 (62) obj. 2.08084e+07 iterations 5743\n",
      "Cbc0038I Pass  22: (46.40 seconds) suminf.    6.46359 (80) obj. 2.08084e+07 iterations 4028\n",
      "Cbc0038I Pass  23: (48.83 seconds) suminf.    7.61008 (55) obj. 2.08084e+07 iterations 4825\n",
      "Cbc0038I Pass  24: (48.92 seconds) suminf.    7.61008 (55) obj. 2.08084e+07 iterations 40\n",
      "Cbc0038I Pass  25: (50.65 seconds) suminf.    7.83554 (34) obj. 2.08084e+07 iterations 3410\n",
      "Cbc0038I Pass  26: (54.03 seconds) suminf.   61.82780 (231) obj. 2.08084e+07 iterations 8070\n",
      "Cbc0038I Pass  27: (60.00 seconds) suminf.   10.04020 (64) obj. 2.08084e+07 iterations 10670\n",
      "Cbc0038I Pass  28: (60.84 seconds) suminf.    8.75465 (48) obj. 2.08084e+07 iterations 1598\n",
      "Cbc0038I Pass  29: (63.64 seconds) suminf.    9.33963 (78) obj. 2.08084e+07 iterations 6110\n",
      "Cbc0038I Pass  30: (67.22 seconds) suminf.    7.46639 (138) obj. 2.08084e+07 iterations 5895\n",
      "Cbc0038I Pass  31: (71.51 seconds) suminf.    7.41328 (73) obj. 2.08084e+07 iterations 6806\n",
      "Cbc0038I Pass  32: (73.83 seconds) suminf.    5.60596 (76) obj. 2.08084e+07 iterations 4111\n",
      "Cbc0038I Pass  33: (74.92 seconds) suminf.    5.91605 (34) obj. 2.08084e+07 iterations 2137\n",
      "Cbc0038I Pass  34: (76.01 seconds) suminf.    5.48734 (38) obj. 2.08084e+07 iterations 1824\n",
      "Cbc0038I Pass  35: (77.27 seconds) suminf.    6.32267 (88) obj. 2.08084e+07 iterations 2527\n",
      "Cbc0038I Pass  36: (78.27 seconds) suminf.    5.84928 (102) obj. 2.08084e+07 iterations 1662\n",
      "Cbc0038I Pass  37: (79.23 seconds) suminf.    6.23145 (38) obj. 2.08084e+07 iterations 1748\n",
      "Cbc0038I Pass  38: (80.16 seconds) suminf.    5.83133 (38) obj. 2.08084e+07 iterations 1412\n",
      "Cbc0038I Pass  39: (80.85 seconds) suminf.    5.85916 (31) obj. 2.08084e+07 iterations 1579\n",
      "Cbc0038I Pass  40: (81.88 seconds) suminf.    5.21635 (93) obj. 2.08084e+07 iterations 1979\n",
      "Cbc0038I Pass  41: (83.36 seconds) suminf.    7.58698 (89) obj. 2.08084e+07 iterations 2807\n",
      "Cbc0038I No solution found this major pass\n",
      "Cbc0038I Before mini branch and bound, 25606 integers at bound fixed and 20856 continuous\n",
      "Cbc0038I Full problem 45780 rows 49500 columns, reduced to 2828 rows 2538 columns\n",
      "Cbc0038I Mini branch and bound did not improve solution (90.13 seconds)\n",
      "Cbc0038I After 90.14 seconds - Feasibility pump exiting with objective of 1.83968e+07 - took 85.84 seconds\n",
      "Cbc0012I Integer solution of 18396796 found by feasibility pump after 0 iterations and 0 nodes (90.98 seconds)\n",
      "Cbc0038I Full problem 45780 rows 49500 columns, reduced to 1016 rows 788 columns\n",
      "Cbc0012I Integer solution of 18490800 found by RINS after 0 iterations and 0 nodes (100.77 seconds)\n",
      "Cbc0031I 159 added rows had average density of 211.91195\n",
      "Cbc0013I At root node, 159 cuts changed objective from 30454925 to 30454925 in 10 passes\n",
      "Cbc0014I Cut generator 0 (Probing) - 0 row cuts average 0.0 elements, 0 column cuts (96 active)  in 13.198 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 1 (Gomory) - 22 row cuts average 168.3 elements, 0 column cuts (0 active)  in 7.577 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 2 (Knapsack) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 0.741 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 3 (Clique) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 0.029 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 4 (OddWheel) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 0.090 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 5 (MixedIntegerRounding2) - 1385 row cuts average 248.0 elements, 0 column cuts (0 active)  in 0.631 seconds - new frequency is 1\n",
      "Cbc0014I Cut generator 6 (FlowCover) - 258 row cuts average 40.3 elements, 0 column cuts (0 active)  in 0.100 seconds - new frequency is 1\n",
      "Cbc0014I Cut generator 7 (TwoMirCuts) - 45 row cuts average 244.3 elements, 0 column cuts (0 active)  in 3.610 seconds - new frequency is -100\n",
      "Cbc0010I After 0 nodes, 1 on tree, 18490800 best solution, best possible 30454925 (164.91 seconds)\n",
      "Cbc0010I After 1 nodes, 2 on tree, 18490800 best solution, best possible 30454925 (173.28 seconds)\n",
      "Cbc0010I After 2 nodes, 3 on tree, 18490800 best solution, best possible 30454925 (179.76 seconds)\n",
      "Cbc0010I After 3 nodes, 4 on tree, 18490800 best solution, best possible 30454925 (186.39 seconds)\n",
      "Cbc0010I After 4 nodes, 5 on tree, 18490800 best solution, best possible 30454925 (193.55 seconds)\n",
      "Cbc0010I After 5 nodes, 6 on tree, 18490800 best solution, best possible 30454925 (201.20 seconds)\n",
      "Cbc0010I After 6 nodes, 7 on tree, 18490800 best solution, best possible 30454925 (206.16 seconds)\n",
      "Cbc0010I After 7 nodes, 8 on tree, 18490800 best solution, best possible 30454925 (211.65 seconds)\n",
      "Cbc0010I After 8 nodes, 9 on tree, 18490800 best solution, best possible 30454925 (216.31 seconds)\n",
      "Cbc0010I After 9 nodes, 10 on tree, 18490800 best solution, best possible 30454925 (221.28 seconds)\n",
      "Cbc0010I After 10 nodes, 11 on tree, 18490800 best solution, best possible 30454925 (225.81 seconds)\n",
      "Cbc0010I After 11 nodes, 12 on tree, 18490800 best solution, best possible 30454925 (230.31 seconds)\n",
      "Cbc0010I After 12 nodes, 13 on tree, 18490800 best solution, best possible 30454925 (235.06 seconds)\n",
      "Cbc0010I After 13 nodes, 13 on tree, 18490800 best solution, best possible 30454925 (240.72 seconds)\n",
      "Cbc0010I After 14 nodes, 14 on tree, 18490800 best solution, best possible 30454925 (246.46 seconds)\n",
      "Cbc0010I After 15 nodes, 14 on tree, 18490800 best solution, best possible 30454925 (251.39 seconds)\n",
      "Cbc0010I After 16 nodes, 15 on tree, 18490800 best solution, best possible 30454925 (255.61 seconds)\n",
      "Cbc0010I After 17 nodes, 16 on tree, 18490800 best solution, best possible 30454925 (260.47 seconds)\n",
      "Cbc0010I After 18 nodes, 17 on tree, 18490800 best solution, best possible 30454925 (264.92 seconds)\n",
      "Cbc0010I After 19 nodes, 18 on tree, 18490800 best solution, best possible 30454925 (269.27 seconds)\n",
      "Cbc0010I After 20 nodes, 19 on tree, 18490800 best solution, best possible 30454925 (273.86 seconds)\n",
      "Cbc0010I After 21 nodes, 20 on tree, 18490800 best solution, best possible 30454925 (274.90 seconds)\n",
      "Cbc0010I After 22 nodes, 21 on tree, 18490800 best solution, best possible 30454925 (276.33 seconds)\n",
      "Cbc0010I After 23 nodes, 21 on tree, 18490800 best solution, best possible 30454925 (277.76 seconds)\n",
      "Cbc0010I After 24 nodes, 22 on tree, 18490800 best solution, best possible 30454925 (279.54 seconds)\n",
      "Cbc0010I After 25 nodes, 23 on tree, 18490800 best solution, best possible 30454925 (281.04 seconds)\n",
      "Cbc0010I After 26 nodes, 24 on tree, 18490800 best solution, best possible 30454925 (282.49 seconds)\n",
      "Cbc0010I After 27 nodes, 25 on tree, 18490800 best solution, best possible 30454925 (284.03 seconds)\n",
      "Cbc0010I After 28 nodes, 25 on tree, 18490800 best solution, best possible 30454925 (285.81 seconds)\n",
      "Cbc0010I After 29 nodes, 25 on tree, 18490800 best solution, best possible 30454925 (290.34 seconds)\n",
      "Cbc0010I After 30 nodes, 25 on tree, 18490800 best solution, best possible 30454925 (292.84 seconds)\n",
      "Cbc0010I After 31 nodes, 26 on tree, 18490800 best solution, best possible 30454925 (296.41 seconds)\n",
      "Cbc0010I After 32 nodes, 27 on tree, 18490800 best solution, best possible 30454925 (297.14 seconds)\n",
      "Cbc0010I After 33 nodes, 28 on tree, 18490800 best solution, best possible 30454925 (298.55 seconds)\n",
      "Cbc0010I After 35 nodes, 30 on tree, 18490800 best solution, best possible 30454925 (300.67 seconds)\n",
      "Cbc0010I After 36 nodes, 31 on tree, 18490800 best solution, best possible 30454925 (301.45 seconds)\n",
      "Cbc0010I After 38 nodes, 32 on tree, 18490800 best solution, best possible 30454925 (303.55 seconds)\n",
      "Cbc0010I After 40 nodes, 33 on tree, 18490800 best solution, best possible 30454925 (306.07 seconds)\n",
      "Cbc0010I After 42 nodes, 35 on tree, 18490800 best solution, best possible 30454925 (307.61 seconds)\n",
      "Cbc0010I After 44 nodes, 37 on tree, 18490800 best solution, best possible 30454925 (309.19 seconds)\n",
      "Cbc0010I After 46 nodes, 39 on tree, 18490800 best solution, best possible 30454925 (311.12 seconds)\n",
      "Cbc0010I After 47 nodes, 39 on tree, 18490800 best solution, best possible 30454925 (312.38 seconds)\n",
      "Cbc0010I After 48 nodes, 39 on tree, 18490800 best solution, best possible 30454925 (313.98 seconds)\n",
      "Cbc0010I After 49 nodes, 39 on tree, 18490800 best solution, best possible 30454925 (315.36 seconds)\n",
      "Cbc0010I After 51 nodes, 40 on tree, 18490800 best solution, best possible 30454925 (316.36 seconds)\n",
      "Cbc0010I After 52 nodes, 41 on tree, 18490800 best solution, best possible 30454925 (317.63 seconds)\n",
      "Cbc0010I After 53 nodes, 41 on tree, 18490800 best solution, best possible 30454925 (318.88 seconds)\n",
      "Cbc0010I After 54 nodes, 41 on tree, 18490800 best solution, best possible 30454925 (320.11 seconds)\n",
      "Cbc0010I After 56 nodes, 43 on tree, 18490800 best solution, best possible 30454925 (321.52 seconds)\n",
      "Cbc0010I After 57 nodes, 43 on tree, 18490800 best solution, best possible 30454925 (324.09 seconds)\n",
      "Cbc0010I After 58 nodes, 43 on tree, 18490800 best solution, best possible 30454925 (325.61 seconds)\n",
      "Cbc0010I After 60 nodes, 45 on tree, 18490800 best solution, best possible 30454925 (326.40 seconds)\n",
      "Cbc0010I After 61 nodes, 46 on tree, 18490800 best solution, best possible 30454925 (327.78 seconds)\n",
      "Cbc0010I After 62 nodes, 46 on tree, 18490800 best solution, best possible 30454925 (328.89 seconds)\n",
      "Cbc0010I After 64 nodes, 48 on tree, 18490800 best solution, best possible 30454925 (332.47 seconds)\n",
      "Cbc0010I After 65 nodes, 48 on tree, 18490800 best solution, best possible 30454925 (333.83 seconds)\n",
      "Cbc0010I After 66 nodes, 48 on tree, 18490800 best solution, best possible 30454925 (335.42 seconds)\n",
      "Cbc0010I After 67 nodes, 48 on tree, 18490800 best solution, best possible 30454925 (337.02 seconds)\n",
      "Cbc0010I After 68 nodes, 48 on tree, 18490800 best solution, best possible 30454925 (340.00 seconds)\n",
      "Cbc0010I After 69 nodes, 48 on tree, 18490800 best solution, best possible 30454925 (341.34 seconds)\n",
      "Cbc0010I After 70 nodes, 48 on tree, 18490800 best solution, best possible 30454925 (342.81 seconds)\n",
      "Cbc0010I After 71 nodes, 48 on tree, 18490800 best solution, best possible 30454925 (345.99 seconds)\n",
      "Cbc0010I After 73 nodes, 50 on tree, 18490800 best solution, best possible 30454925 (346.93 seconds)\n",
      "Cbc0010I After 75 nodes, 52 on tree, 18490800 best solution, best possible 30454925 (347.82 seconds)\n",
      "Cbc0010I After 76 nodes, 53 on tree, 18490800 best solution, best possible 30454925 (348.83 seconds)\n",
      "Cbc0010I After 78 nodes, 54 on tree, 18490800 best solution, best possible 30454925 (350.27 seconds)\n",
      "Cbc0010I After 80 nodes, 56 on tree, 18490800 best solution, best possible 30454925 (351.59 seconds)\n",
      "Cbc0010I After 81 nodes, 56 on tree, 18490800 best solution, best possible 30454925 (352.41 seconds)\n",
      "Cbc0010I After 82 nodes, 56 on tree, 18490800 best solution, best possible 30454925 (353.78 seconds)\n",
      "Cbc0010I After 84 nodes, 58 on tree, 18490800 best solution, best possible 30454925 (354.49 seconds)\n",
      "Cbc0010I After 86 nodes, 60 on tree, 18490800 best solution, best possible 30454925 (356.46 seconds)\n",
      "Cbc0010I After 87 nodes, 60 on tree, 18490800 best solution, best possible 30454925 (357.73 seconds)\n",
      "Cbc0010I After 88 nodes, 60 on tree, 18490800 best solution, best possible 30454925 (358.68 seconds)\n",
      "Cbc0010I After 89 nodes, 60 on tree, 18490800 best solution, best possible 30454925 (361.23 seconds)\n",
      "Cbc0010I After 90 nodes, 60 on tree, 18490800 best solution, best possible 30454925 (363.13 seconds)\n",
      "Cbc0010I After 92 nodes, 62 on tree, 18490800 best solution, best possible 30454925 (364.10 seconds)\n",
      "Cbc0010I After 94 nodes, 63 on tree, 18490800 best solution, best possible 30454925 (365.13 seconds)\n",
      "Cbc0010I After 96 nodes, 64 on tree, 18490800 best solution, best possible 30454925 (366.18 seconds)\n",
      "Cbc0010I After 97 nodes, 65 on tree, 18490800 best solution, best possible 30454925 (366.96 seconds)\n",
      "Cbc0010I After 98 nodes, 65 on tree, 18490800 best solution, best possible 30454925 (369.67 seconds)\n",
      "Cbc0010I After 100 nodes, 66 on tree, 18490800 best solution, best possible 30454925 (371.28 seconds)\n",
      "Cbc0010I After 101 nodes, 66 on tree, 18490800 best solution, best possible 30454925 (372.22 seconds)\n",
      "Cbc0010I After 104 nodes, 69 on tree, 18490800 best solution, best possible 30454925 (373.12 seconds)\n",
      "Cbc0010I After 106 nodes, 69 on tree, 18490800 best solution, best possible 30454925 (374.40 seconds)\n",
      "Cbc0010I After 112 nodes, 75 on tree, 18490800 best solution, best possible 30454925 (375.53 seconds)\n",
      "Cbc0010I After 113 nodes, 75 on tree, 18490800 best solution, best possible 30454925 (376.51 seconds)\n",
      "Cbc0010I After 114 nodes, 75 on tree, 18490800 best solution, best possible 30454925 (377.42 seconds)\n",
      "Cbc0010I After 115 nodes, 75 on tree, 18490800 best solution, best possible 30454925 (378.25 seconds)\n",
      "Cbc0010I After 117 nodes, 76 on tree, 18490800 best solution, best possible 30454925 (378.97 seconds)\n",
      "Cbc0010I After 119 nodes, 77 on tree, 18490800 best solution, best possible 30454925 (379.72 seconds)\n",
      "Cbc0010I After 120 nodes, 77 on tree, 18490800 best solution, best possible 30454925 (380.94 seconds)\n",
      "Cbc0010I After 124 nodes, 80 on tree, 18490800 best solution, best possible 30454925 (382.03 seconds)\n",
      "Cbc0010I After 125 nodes, 80 on tree, 18490800 best solution, best possible 30454925 (382.99 seconds)\n",
      "Cbc0010I After 129 nodes, 83 on tree, 18490800 best solution, best possible 30454925 (384.26 seconds)\n",
      "Cbc0010I After 130 nodes, 83 on tree, 18490800 best solution, best possible 30454925 (385.00 seconds)\n",
      "Cbc0010I After 133 nodes, 85 on tree, 18490800 best solution, best possible 30454925 (386.19 seconds)\n",
      "Cbc0010I After 136 nodes, 87 on tree, 18490800 best solution, best possible 30454925 (387.19 seconds)\n",
      "Cbc0010I After 137 nodes, 87 on tree, 18490800 best solution, best possible 30454925 (388.13 seconds)\n",
      "Cbc0010I After 139 nodes, 87 on tree, 18490800 best solution, best possible 30454925 (389.91 seconds)\n",
      "Cbc0010I After 142 nodes, 89 on tree, 18490800 best solution, best possible 30454925 (391.24 seconds)\n",
      "Cbc0010I After 143 nodes, 89 on tree, 18490800 best solution, best possible 30454925 (392.16 seconds)\n",
      "Cbc0010I After 147 nodes, 93 on tree, 18490800 best solution, best possible 30454925 (394.27 seconds)\n",
      "Cbc0010I After 149 nodes, 94 on tree, 18490800 best solution, best possible 30454925 (395.04 seconds)\n",
      "Cbc0010I After 151 nodes, 95 on tree, 18490800 best solution, best possible 30454925 (398.76 seconds)\n",
      "Cbc0010I After 153 nodes, 95 on tree, 18490800 best solution, best possible 30454925 (400.27 seconds)\n",
      "Cbc0010I After 154 nodes, 95 on tree, 18490800 best solution, best possible 30454925 (403.20 seconds)\n",
      "Cbc0010I After 155 nodes, 95 on tree, 18490800 best solution, best possible 30454925 (404.15 seconds)\n",
      "Cbc0010I After 156 nodes, 95 on tree, 18490800 best solution, best possible 30454925 (404.92 seconds)\n",
      "Cbc0010I After 160 nodes, 98 on tree, 18490800 best solution, best possible 30454925 (408.15 seconds)\n",
      "Cbc0010I After 162 nodes, 99 on tree, 18490800 best solution, best possible 30454925 (409.31 seconds)\n",
      "Cbc0010I After 164 nodes, 100 on tree, 18490800 best solution, best possible 30454925 (412.67 seconds)\n",
      "Cbc0010I After 166 nodes, 101 on tree, 18490800 best solution, best possible 30454925 (413.70 seconds)\n",
      "Cbc0010I After 168 nodes, 102 on tree, 18490800 best solution, best possible 30454925 (416.78 seconds)\n",
      "Cbc0010I After 170 nodes, 103 on tree, 18490800 best solution, best possible 30454925 (417.74 seconds)\n",
      "Cbc0010I After 172 nodes, 104 on tree, 18490800 best solution, best possible 30454925 (418.89 seconds)\n",
      "Cbc0010I After 174 nodes, 105 on tree, 18490800 best solution, best possible 30454925 (421.99 seconds)\n",
      "Cbc0010I After 176 nodes, 106 on tree, 18490800 best solution, best possible 30454925 (423.05 seconds)\n",
      "Cbc0010I After 178 nodes, 107 on tree, 18490800 best solution, best possible 30454925 (426.20 seconds)\n",
      "Cbc0010I After 180 nodes, 108 on tree, 18490800 best solution, best possible 30454925 (427.32 seconds)\n",
      "Cbc0010I After 182 nodes, 109 on tree, 18490800 best solution, best possible 30454925 (428.50 seconds)\n",
      "Cbc0010I After 184 nodes, 110 on tree, 18490800 best solution, best possible 30454925 (431.89 seconds)\n",
      "Cbc0010I After 186 nodes, 111 on tree, 18490800 best solution, best possible 30454925 (432.99 seconds)\n",
      "Cbc0010I After 188 nodes, 112 on tree, 18490800 best solution, best possible 30454925 (435.96 seconds)\n",
      "Cbc0010I After 193 nodes, 116 on tree, 18490800 best solution, best possible 30454925 (437.14 seconds)\n",
      "Cbc0010I After 197 nodes, 119 on tree, 18490800 best solution, best possible 30454925 (440.81 seconds)\n",
      "Cbc0010I After 198 nodes, 119 on tree, 18490800 best solution, best possible 30454925 (441.52 seconds)\n",
      "Cbc0010I After 199 nodes, 119 on tree, 18490800 best solution, best possible 30454925 (442.23 seconds)\n",
      "Cbc0010I After 202 nodes, 121 on tree, 18490800 best solution, best possible 30454925 (443.27 seconds)\n",
      "Cbc0010I After 203 nodes, 121 on tree, 18490800 best solution, best possible 30454925 (446.34 seconds)\n",
      "Cbc0010I After 204 nodes, 121 on tree, 18490800 best solution, best possible 30454925 (447.51 seconds)\n",
      "Cbc0010I After 205 nodes, 121 on tree, 18490800 best solution, best possible 30454925 (448.50 seconds)\n",
      "Cbc0010I After 206 nodes, 121 on tree, 18490800 best solution, best possible 30454925 (452.84 seconds)\n",
      "Cbc0010I After 207 nodes, 121 on tree, 18490800 best solution, best possible 30454925 (454.09 seconds)\n",
      "Cbc0010I After 212 nodes, 126 on tree, 18490800 best solution, best possible 30454925 (454.82 seconds)\n",
      "Cbc0010I After 214 nodes, 127 on tree, 18490800 best solution, best possible 30454925 (458.55 seconds)\n",
      "Cbc0010I After 215 nodes, 127 on tree, 18490800 best solution, best possible 30454925 (459.41 seconds)\n",
      "Cbc0010I After 216 nodes, 127 on tree, 18490800 best solution, best possible 30454925 (463.18 seconds)\n",
      "Cbc0010I After 220 nodes, 130 on treCPU times: user 10min 21s, sys: 12.4 s, total: 10min 33s\n",
      "Wall time: 10min 37s\n",
      "\n",
      "Optimization status: OptimizationStatus.FEASIBLE\n",
      "Optimal solution: 18490799.742134053\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "18490799.742134053"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n = 7\n",
    "inst = load_instance('instances/instance_'+str(n)+'.json')\n",
    "solve(inst)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 8min 19s, sys: 10.9 s, total: 8min 30s\n",
      "Wall time: 11min 48s\n",
      "\n",
      "Optimization status: OptimizationStatus.FEASIBLE\n",
      "Optimal solution: 25284593.791342467\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "25284593.791342467"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n = 8\n",
    "inst = load_instance('instances/instance_'+str(n)+'.json')\n",
    "solve(inst)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "e, 18490800 best solution, best possible 30454925 (464.54 seconds)\n",
      "Cbc0010I After 221 nodes, 130 on tree, 18490800 best solution, best possible 30454925 (465.35 seconds)\n",
      "Cbc0010I After 222 nodes, 130 on tree, 18490800 best solution, best possible 30454925 (467.49 seconds)\n",
      "Cbc0010I After 223 nodes, 130 on tree, 18490800 best solution, best possible 30454925 (468.63 seconds)\n",
      "Cbc0010I After 226 nodes, 132 on tree, 18490800 best solution, best possible 30454925 (471.25 seconds)\n",
      "Cbc0010I After 229 nodes, 134 on tree, 18490800 best solution, best possible 30454925 (472.39 seconds)\n",
      "Cbc0010I After 231 nodes, 135 on tree, 18490800 best solution, best possible 30454925 (473.44 seconds)\n",
      "Cbc0010I After 232 nodes, 136 on tree, 18490800 best solution, best possible 30454925 (476.06 seconds)\n",
      "Cbc0010I After 233 nodes, 136 on tree, 18490800 best solution, best possible 30454925 (476.81 seconds)\n",
      "Cbc0010I After 235 nodes, 136 on tree, 18490800 best solution, best possible 30454925 (477.83 seconds)\n",
      "Cbc0010I After 236 nodes, 136 on tree, 18490800 best solution, best possible 30454925 (481.25 seconds)\n",
      "Cbc0010I After 237 nodes, 136 on tree, 18490800 best solution, best possible 30454925 (482.17 seconds)\n",
      "Cbc0010I After 239 nodes, 137 on tree, 18490800 best solution, best possible 30454925 (485.69 seconds)\n",
      "Cbc0010I After 241 nodes, 139 on tree, 18490800 best solution, best possible 30454925 (486.58 seconds)\n",
      "Cbc0010I After 245 nodes, 141 on tree, 18490800 best solution, best possible 30454925 (488.21 seconds)\n",
      "Cbc0010I After 248 nodes, 143 on tree, 18490800 best solution, best possible 30454925 (491.47 seconds)\n",
      "Cbc0010I After 250 nodes, 144 on tree, 18490800 best solution, best possible 30454925 (492.57 seconds)\n",
      "Cbc0010I After 252 nodes, 145 on tree, 18490800 best solution, best possible 30454925 (495.98 seconds)\n",
      "Cbc0010I After 254 nodes, 146 on tree, 18490800 best solution, best possible 30454925 (497.08 seconds)\n",
      "Cbc0010I After 256 nodes, 147 on tree, 18490800 best solution, best possible 30454925 (498.00 seconds)\n",
      "Cbc0010I After 258 nodes, 148 on tree, 18490800 best solution, best possible 30454925 (501.67 seconds)\n",
      "Cbc0010I After 260 nodes, 149 on tree, 18490800 best solution, best possible 30454925 (502.66 seconds)\n",
      "Cbc0010I After 263 nodes, 151 on tree, 18490800 best solution, best possible 30454925 (503.83 seconds)\n",
      "Cbc0010I After 264 nodes, 151 on tree, 18490800 best solution, best possible 30454925 (507.11 seconds)\n",
      "Cbc0010I After 265 nodes, 151 on tree, 18490800 best solution, best possible 30454925 (508.29 seconds)\n",
      "Cbc0010I After 269 nodes, 155 on tree, 18490800 best solution, best possible 30454925 (509.02 seconds)\n",
      "Cbc0010I After 270 nodes, 155 on tree, 18490800 best solution, best possible 30454925 (511.78 seconds)\n",
      "Cbc0010I After 271 nodes, 155 on tree, 18490800 best solution, best possible 30454925 (512.93 seconds)\n",
      "Cbc0010I After 272 nodes, 155 on tree, 18490800 best solution, best possible 30454925 (513.74 seconds)\n",
      "Cbc0010I After 275 nodes, 157 on tree, 18490800 best solution, best possible 30454925 (515.80 seconds)\n",
      "Cbc0010I After 277 nodes, 159 on tree, 18490800 best solution, best possible 30454925 (518.50 seconds)\n",
      "Cbc0010I After 278 nodes, 159 on tree, 18490800 best solution, best possible 30454925 (519.52 seconds)\n",
      "Cbc0010I After 279 nodes, 159 on tree, 18490800 best solution, best possible 30454925 (523.60 seconds)\n",
      "Cbc0010I After 280 nodes, 159 on tree, 18490800 best solution, best possible 30454925 (524.65 seconds)\n",
      "Cbc0010I After 281 nodes, 159 on tree, 18490800 best solution, best possible 30454925 (526.71 seconds)\n",
      "Cbc0010I After 285 nodes, 163 on tree, 18490800 best solution, best possible 30454925 (527.59 seconds)\n",
      "Cbc0010I After 286 nodes, 163 on tree, 18490800 best solution, best possible 30454925 (530.61 seconds)\n",
      "Cbc0010I After 287 nodes, 163 on tree, 18490800 best solution, best possible 30454925 (531.54 seconds)\n",
      "Cbc0010I After 288 nodes, 163 on tree, 18490800 best solution, best possible 30454925 (532.64 seconds)\n",
      "Cbc0010I After 290 nodes, 165 on tree, 18490800 best solution, best possible 30454925 (534.78 seconds)\n",
      "Cbc0010I After 292 nodes, 166 on tree, 18490800 best solution, best possible 30454925 (538.48 seconds)\n",
      "Cbc0010I After 294 nodes, 167 on tree, 18490800 best solution, best possible 30454925 (539.19 seconds)\n",
      "Cbc0010I After 297 nodes, 169 on tree, 18490800 best solution, best possible 30454925 (540.08 seconds)\n",
      "Cbc0010I After 299 nodes, 170 on tree, 18490800 best solution, best possible 30454925 (543.51 seconds)\n",
      "Cbc0010I After 301 nodes, 171 on tree, 18490800 best solution, best possible 30454925 (544.66 seconds)\n",
      "Cbc0010I After 303 nodes, 172 on tree, 18490800 best solution, best possible 30454925 (546.03 seconds)\n",
      "Cbc0010I After 305 nodes, 173 on tree, 18490800 best solution, best possible 30454925 (549.73 seconds)\n",
      "Cbc0010I After 307 nodes, 174 on tree, 18490800 best solution, best possible 30454925 (550.70 seconds)\n",
      "Cbc0010I After 309 nodes, 175 on tree, 18490800 best solution, best possible 30454925 (551.60 seconds)\n",
      "Cbc0010I After 311 nodes, 176 on tree, 18490800 best solution, best possible 30454925 (554.87 seconds)\n",
      "Cbc0010I After 316 nodes, 181 on tree, 18490800 best solution, best possible 30454925 (555.95 seconds)\n",
      "Cbc0010I After 318 nodes, 181 on tree, 18490800 best solution, best possible 30454925 (557.47 seconds)\n",
      "Cbc0010I After 319 nodes, 181 on tree, 18490800 best solution, best possible 30454925 (560.48 seconds)\n",
      "Cbc0010I After 320 nodes, 181 on tree, 18490800 best solution, best possible 30454925 (561.22 seconds)\n",
      "Cbc0010I After 321 nodes, 181 on tree, 18490800 best solution, best possible 30454925 (561.99 seconds)\n",
      "Cbc0010I After 322 nodes, 181 on tree, 18490800 best solution, best possible 30454925 (565.58 seconds)\n",
      "Cbc0010I After 325 nodes, 183 on tree, 18490800 best solution, best possible 30454925 (566.32 seconds)\n",
      "Cbc0010I After 328 nodes, 185 on tree, 18490800 best solution, best possible 30454925 (567.31 seconds)\n",
      "Cbc0010I After 329 nodes, 185 on tree, 18490800 best solution, best possible 30454925 (568.11 seconds)\n",
      "Cbc0010I After 333 nodes, 188 on tree, 18490800 best solution, best possible 30454925 (570.52 seconds)\n",
      "Cbc0010I After 334 nodes, 188 on tree, 18490800 best solution, best possible 30454925 (571.40 seconds)\n",
      "Cbc0010I After 335 nodes, 188 on tree, 18490800 best solution, best possible 30454925 (575.02 seconds)\n",
      "Cbc0010I After 338 nodes, 190 on tree, 18490800 best solution, best possible 30454925 (575.91 seconds)\n",
      "Cbc0010I After 340 nodes, 191 on tree, 18490800 best solution, best possible 30454925 (576.72 seconds)\n",
      "Cbc0010I After 342 nodes, 192 on tree, 18490800 best solution, best possible 30454925 (577.44 seconds)\n",
      "Cbc0010I After 346 nodes, 195 on tree, 18490800 best solution, best possible 30454925 (580.70 seconds)\n",
      "Cbc0010I After 347 nodes, 195 on tree, 18490800 best solution, best possible 30454925 (581.48 seconds)\n",
      "Cbc0010I After 351 nodes, 198 on tree, 18490800 best solution, best possible 30454925 (585.30 seconds)\n",
      "Cbc0010I After 353 nodes, 198 on tree, 18490800 best solution, best possible 30454925 (586.78 seconds)\n",
      "Cbc0010I After 355 nodes, 198 on tree, 18490800 best solution, best possible 30454925 (588.04 seconds)\n",
      "Cbc0010I After 357 nodes, 200 on tree, 18490800 best solution, best possible 30454925 (591.37 seconds)\n",
      "Cbc0010I After 359 nodes, 200 on tree, 18490800 best solution, best possible 30454925 (592.99 seconds)\n",
      "Cbc0010I After 360 nodes, 200 on tree, 18490800 best solution, best possible 30454925 (596.24 seconds)\n",
      "Cbc0010I After 363 nodes, 202 on tree, 18490800 best solution, best possible 30454925 (597.73 seconds)\n",
      "Cbc0010I After 364 nodes, 202 on tree, 18490800 best solution, best possible 30454925 (598.61 seconds)\n",
      "Cbc0020I Exiting on maximum time\n",
      "Cbc0005I Partial search - best objective 18490800 (best possible 30454925), took 116525 iterations and 367 nodes (600.02 seconds)\n",
      "Cbc0032I Strong branching done 2788 times (116890 iterations), fathomed 0 nodes and fixed 0 variables\n",
      "Cbc0035I Maximum depth 140, 0 variables fixed on reduced cost\n",
      "Cbc0038I Initial state - 680 integers unsatisfied sum - 209.558\n",
      "Cbc0038I Pass   1: (65.38 seconds) suminf.    0.00000 (0) obj. 1.84134e+07 iterations 26499\n",
      "Cbc0038I Solution found of 1.84134e+07\n",
      "Cbc0038I Relaxing continuous gives 1.84956e+07\n",
      "Cbc0038I Before mini branch and bound, 46300 integers at bound fixed and 39428 continuous\n",
      "Cbc0038I Full problem 81035 rows 87000 columns, reduced to 1549 rows 1262 columns\n",
      "Cbc0038I Mini branch and bound improved solution from 1.84956e+07 to 2.27842e+07 (78.22 seconds)\n",
      "Cbc0038I Round again with cutoff of 2.52324e+07\n",
      "Cbc0038I Pass   2: (90.84 seconds) suminf.    5.78607 (39) obj. 2.52324e+07 iterations 1881\n",
      "Cbc0038I Pass   3: (92.62 seconds) suminf.    2.25871 (14) obj. 2.52324e+07 iterations 1534\n",
      "Cbc0038I Pass   4: (93.58 seconds) suminf.    2.17155 (11) obj. 2.52324e+07 iterations 1360\n",
      "Cbc0038I Pass   5: (93.85 seconds) suminf.    1.66547 (9) obj. 2.52324e+07 iterations 251\n",
      "Cbc0038I Pass   6: (94.35 seconds) suminf.    1.89094 (8) obj. 2.52324e+07 iterations 919\n",
      "Cbc0038I Pass   7: (94.61 seconds) suminf.    1.27228 (7) obj. 2.52324e+07 iterations 337\n",
      "Cbc0038I Pass   8: (95.25 seconds) suminf.    1.00000 (4) obj. 2.52324e+07 iterations 539\n",
      "Cbc0038I Pass   9: (95.61 seconds) suminf.    0.75602 (4) obj. 2.52324e+07 iterations 449\n",
      "Cbc0038I Pass  10: (96.24 seconds) suminf.    0.72375 (3) obj. 2.52324e+07 iterations 742\n",
      "Cbc0038I Pass  11: (96.47 seconds) suminf.    0.41254 (2) obj. 2.52324e+07 iterations 242\n",
      "Cbc0038I Solution found of 2.52324e+07\n",
      "Cbc0038I Relaxing continuous gives 2.52776e+07\n",
      "Cbc0038I Before mini branch and bound, 46255 integers at bound fixed and 39365 continuous\n",
      "Cbc0038I Full problem 81035 rows 87000 columns, reduced to 1623 rows 1338 columns\n",
      "Cbc0038I Mini branch and bound improved solution from 2.52776e+07 to 2.52846e+07 (154.04 seconds)\n",
      "Cbc0038I Round again with cutoff of 2.96809e+07\n",
      "Cbc0038I Pass  12: (172.10 seconds) suminf.   27.95694 (127) obj. 2.96809e+07 iterations 4085\n",
      "Cbc0038I Pass  13: (173.45 seconds) suminf.   24.77699 (102) obj. 2.96809e+07 iterations 943\n",
      "Cbc0038I Pass  14: (183.67 seconds) suminf.   17.02092 (122) obj. 2.96809e+07 iterations 7154\n",
      "Cbc0038I Pass  15: (194.64 seconds) suminf.   22.41948 (195) obj. 2.96809e+07 iterations 10469\n",
      "Cbc0038I Pass  16: (209.73 seconds) suminf.   17.74170 (235) obj. 2.96809e+07 iterations 13325\n",
      "Cbc0038I Pass  17: (220.94 seconds) suminf.   15.05660 (112) obj. 2.96809e+07 iterations 10729\n",
      "Cbc0038I Pass  18: (222.30 seconds) suminf.   15.01051 (119) obj. 2.96809e+07 iterations 1072\n",
      "Cbc0038I Pass  19: (236.64 seconds) suminf.   20.13927 (157) obj. 2.96809e+07 iterations 13401\n",
      "Cbc0038I Pass  20: (241.41 seconds) suminf.   18.53966 (162) obj. 2.96809e+07 iterations 3524\n",
      "Cbc0038I Pass  21: (253.42 seconds) suminf.   14.78709 (106) obj. 2.96809e+07 iterations 12871\n",
      "Cbc0038I Pass  22: (374.13 seconds) suminf.   20.48968 (275) obj. 2.96809e+07 iterations 19910\n",
      "Cbc0038I Pass  23: (378.38 seconds) suminf.   19.84466 (207) obj. 2.96809e+07 iterations 3029\n",
      "Cbc0038I Pass  24: (385.37 seconds) suminf.   14.94547 (103) obj. 2.96809e+07 iterations 7076\n",
      "Cbc0038I Pass  25: (385.47 seconds) suminf.   14.94547 (103) obj. 2.96809e+07 iterations 0\n",
      "Cbc0038I Pass  26: (390.55 seconds) suminf.   14.72198 (128) obj. 2.96809e+07 iterations 5345\n",
      "Cbc0038I Pass  27: (392.72 seconds) suminf.   13.91742 (111) obj. 2.96809e+07 iterations 2222\n",
      "Cbc0038I Pass  28: (401.40 seconds) suminf.   18.04738 (117) obj. 2.96809e+07 iterations 10324\n",
      "Cbc0038I Pass  29: (415.09 seconds) suminf.   15.32686 (111) obj. 2.96809e+07 iterations 6151\n",
      "Cbc0038I Pass  30: (434.36 seconds) suminf.   20.20090 (311) obj. 2.96809e+07 iterations 17281\n",
      "Cbc0038I Pass  31: (438.35 seconds) suminf.   19.43653 (232) obj. 2.96809e+07 iterations 4622\n",
      "Cbc0038I Pass  32: (449.25 seconds) suminf.   14.39016 (109) obj. 2.96809e+07 iterations 8849\n",
      "Cbc0038I Pass  33: (450.99 seconds) suminf.   13.73903 (99) obj. 2.96809e+07 iterations 2199\n",
      "Cbc0038I Pass  34: (475.64 seconds) suminf.   18.85215 (259) obj. 2.96809e+07 iterations 9908\n",
      "Cbc0038I Pass  35: (479.63 seconds) suminf.   18.25860 (199) obj. 2.96809e+07 iterations 3335\n",
      "Cbc0038I Pass  36: (486.85 seconds) suminf.   17.96497 (106) obj. 2.96809e+07 iterations 9001\n",
      "Cbc0038I Pass  37: (489.99 seconds) suminf.   15.66397 (98) obj. 2.96809e+07 iterations 3316\n",
      "Cbc0038I Pass  38: (495.50 seconds) suminf.   13.30479 (97) obj. 2.96809e+07 iterations 6918\n",
      "Cbc0038I Pass  39: (496.82 seconds) suminf.   13.23319 (108) obj. 2.96809e+07 iterations 1704\n",
      "Cbc0038I Pass  40: (503.70 seconds) suminf.   19.40439 (176) obj. 2.96809e+07 iterations 7225\n",
      "Cbc0038I Pass  41: (509.42 seconds) suminf.   15.32173 (201) obj. 2.96809e+07 iterations 5900\n",
      "Cbc0038I No solution found this major pass\n",
      "Cbc0038I Before mini branch and bound, 43878 integers at bound fixed and 33823 continuous\n",
      "Cbc0038I Full problem 81035 rows 87000 columns, reduced to 5884 rows 5526 columns\n",
      "Cbc0038I Mini branch and bound did not improve solution (560.79 seconds)\n",
      "Cbc0038I After 560.82 seconds - Feasibility pump exiting with objective of 2.52846e+07 - took 369.21 seconds\n",
      "Cbc0012I Integer solution of 25284594 found by feasibility pump after 0 iterations and 0 nodes (562.45 seconds)\n",
      "Cbc0038I Full problem 81035 rows 87000 columns, reduced to 1557 rows 1255 columns\n",
      "Cbc0031I 93 added rows had average density of 268.27957\n",
      "Cbc0013I At root node, 93 cuts changed objective from 47266143 to 47266143 in 1 passes\n",
      "Cbc0014I Cut generator 0 (Probing) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 2.521 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 1 (Gomory) - 1 row cuts average 366.0 elements, 0 column cuts (0 active)  in 2.119 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 2 (Knapsack) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 0.200 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 3 (Clique) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 0.006 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 4 (OddWheel) - 0 row cuts average 0.0 elements, 0 column cuts (0 active)  in 0.021 seconds - new frequency is -100\n",
      "Cbc0014I Cut generator 5 (MixedIntegerRounding2) - 60 row cuts average 337.5 elements, 0 column cuts (0 active)  in 0.110 seconds - new frequency is 1\n",
      "Cbc0014I Cut generator 6 (FlowCover) - 27 row cuts average 86.4 elements, 0 column cuts (0 active)  in 0.014 seconds - new frequency is 1\n",
      "Cbc0014I Cut generator 7 (TwoMirCuts) - 5 row cuts average 400.8 elements, 0 column cuts (0 active)  in 1.859 seconds - new frequency is -100\n",
      "Cbc0020I Exiting on maximum time\n",
      "Cbc0005I Partial search - best objective 25284594 (best possible 47266143), took 4364 iterations and 0 nodes (604.87 seconds)\n",
      "Cbc0035I Maximum depth 0, 0 variables fixed on reduced cost\n",
      "Cbc0038I Initial state - 970 integers unsatisfied sum - 267.08\n",
      "Cbc0038I Pass   1: (154.83 seconds) suminf.    0.00000 (0) obj. 5.60374e+06 iterations 30567\n",
      "Cbc0038I Solution found of 5.60374e+06\n",
      "Cbc0038I Relaxing continuous gives 5.60374e+06\n",
      "Cbc0038I Before mini branch and bound, 71503 integers at bound fixed and 61664 continuous\n",
      "Cbc0038I Full problem 126290 rows 135000 columns, reduced to 2230 rows 1831 columns\n",
      "Cbc0038I Mini branch and bound did not improve solution (172.25 seconds)\n",
      "Cbc0038I Round again with cutoff of 8.79781e+06\n",
      "Cbc0038I Pass   2: (187.95 seconds) suminf.    2.18745 (14) obj. 8.79781e+06 iterations 354\n",
      "Cbc0038I Pass   3: (188.37 seconds) suminf.    1.76310 (13) obj. 8.79781e+06 iterations 401\n",
      "Cbc0038I Pass   4: (188.84 seconds) suminf.    0.93925 (7) obj. 8.79781e+06 iterations 566\n",
      "Cbc0038I Pass   5: (189.08 seconds) suminf.    0.50253 (5) obj. 8.79781e+06 iterations 51\n",
      "Cbc0038I Pass   6: (189.26 seconds) suminf.    0.45733 (4) obj. 8.79781e+06 iterations 118\n",
      "Cbc0038I Pass   7: (189.44 seconds) suminf.    0.23519 (2) obj. 8.79781e+06 iterations 3\n",
      "Cbc0038I Solution found of 8.79781e+06\n",
      "Cbc0038I Relaxing continuous gives 8.88394e+06\n",
      "Cbc0038I Before mini branch and bound, 71481 integers at bound fixed and 61642 continuous\n",
      "Cbc0038I Full problem 126290 rows 135000 columns, reduced to 2272 rows 1871 columns\n",
      "Cbc0038I Mini branch and bound did not improve solution (246.41 seconds)\n",
      "Cbc0038I Round again with cutoff of 1.4616e+07\n",
      "Cbc0038I Pass   8: (271.45 seconds) suminf.   28.10506 (103) obj. 1.4616e+07 iterations 1839\n",
      "Cbc0038I Pass   9: (286.02 seconds) suminf.    7.327CPU times: user 13min 45s, sys: 10.9 s, total: 13min 56s\n",
      "Wall time: 36min 43s\n",
      "\n",
      "Optimization status: OptimizationStatus.FEASIBLE\n",
      "Optimal solution: 8883939.259787977\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "8883939.259787977"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n = 9\n",
    "inst = load_instance('instances/instance_'+str(n)+'.json')\n",
    "solve(inst)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "n = 10\n",
    "inst = load_instance('instances/instance_'+str(n)+'.json')\n",
    "solve(inst)"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.9"
  },
  "vscode": {
   "interpreter": {
    "hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}