Easter Photo.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "@software{Alireza_Soroudi_PyomoOptimization,\n",
    "author = {Alireza Soroudi, Alireza},\n",
    "license = {MIT},\n",
    "title = {{PyomoOptimization}},\n",
    "url = {https://github.com/OptimizationExpert/Pyomo}\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The required packages are imported "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pyomo.environ import *\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import random \n",
    "import math\n",
    "import networkx as nx\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "egg_names = ['Ava', \n",
    "'Ethan',\n",
    "'Lily',\n",
    "'Noah',\n",
    "'Sophia',\n",
    "'Oliver',\n",
    "'Mia', \n",
    "'William', 'Harper']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "17\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[(1, 3),\n",
       " (1, 5),\n",
       " (1, 8),\n",
       " (2, 5),\n",
       " (2, 9),\n",
       " (3, 4),\n",
       " (3, 5),\n",
       " (4, 1),\n",
       " (4, 5),\n",
       " (5, 1),\n",
       " (5, 6),\n",
       " (6, 1),\n",
       " (6, 9),\n",
       " (7, 3),\n",
       " (7, 8),\n",
       " (8, 9),\n",
       " (8, 7)]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "vec = {1:[3,5,8], 2:[5,9], 3:[4,5], 4:[1,5],  5:[1,6],  6:[1,9],  7:[3,8],  8:[9,7]   }\n",
    "connect = []\n",
    "for k,V in vec.items():\n",
    "    connect+=[(k,v) for v in V]\n",
    "print(len(connect))\n",
    "connect"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The sample input data is generated in this cell"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "N = 9\n",
    "\n",
    "model = AbstractModel()\n",
    "model.i = RangeSet(N)\n",
    "model.j = Set(initialize= model.i)\n",
    "model.n = RangeSet(N)\n",
    "model.m = Set(initialize= model.n)\n",
    "\n",
    "model.U = Var(model.n,model.i,initialize = 0, within=Binary)\n",
    "model.L = Var(model.n,bounds=(1,N), within=Reals)\n",
    "model.x = Var(model.n, model.m, within=Binary)\n",
    "\n",
    "def Rule_C1(model,n):\n",
    "    return sum(model.U[n,i] for i in model.i) == 1\n",
    "model.C1=Constraint(model.n, rule=Rule_C1)\n",
    "\n",
    "def Rule_C2(model,i):\n",
    "    return sum(model.U[n,i] for n in model.n) == 1\n",
    "model.C2=Constraint(model.i, rule=Rule_C2)\n",
    "\n",
    "def Rule_C3(model,n):\n",
    "    return sum(i*model.U[n,i] for i in model.i) == model.L[n]\n",
    "model.C3=Constraint(model.n, rule=Rule_C3)\n",
    "\n",
    "def Rule_C4A(model,n,m):\n",
    "    if (n,m) in connect:\n",
    "        return model.L[n]-model.L[m] <= 1 + N*(1-model.x[n,m])\n",
    "    else:\n",
    "        return Constraint.Skip\n",
    "model.C4A=Constraint(model.n,model.m, rule=Rule_C4A)\n",
    "\n",
    "def Rule_C4B(model,n,m):\n",
    "    if (n,m) in connect:\n",
    "        return -(model.L[n]-model.L[m]) <= 1 + N*(1-model.x[n,m])\n",
    "    else:\n",
    "        return Constraint.Skip\n",
    "model.C4B=Constraint(model.n,model.m, rule=Rule_C4B)\n",
    "\n",
    "def rule_OF(model):\n",
    "    return sum(model.x[n,m] for n in model.n for m in model.m if (n,m) in connect)\n",
    "model.obj = Objective(rule=rule_OF, sense=maximize)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\"\n",
    "create an instance of the model\n",
    "\"\"\"\n",
    "instance = model.create_instance()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10.0\n"
     ]
    }
   ],
   "source": [
    "from pyomo import environ as pe\n",
    "import os\n",
    "os.environ['NEOS_EMAIL'] = 'x@gmail.com' \n",
    "#opt = pe.SolverManagerFactory('neos')\n",
    "#results = opt.solve(instance, solver = \"cplex\")\n",
    "opt = pe.SolverFactory('cbc')\n",
    "opt.options = {'sec': 20000, 'threads': 6, 'ratioGap': 0.02}\n",
    "\n",
    "results = opt.solve(instance)\n",
    "\n",
    "print(value(instance.obj))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 2.0\n",
      "2 9.0\n",
      "3 5.0\n",
      "4 4.0\n",
      "5 3.0\n",
      "6 1.0\n",
      "7 6.0\n",
      "8 7.0\n",
      "9 8.0\n"
     ]
    }
   ],
   "source": [
    "for n in instance.n:\n",
    "    print(n, value(instance.L[n]))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "KOLOR = ['r', 'darkred', 'gold', 'g', 'r', 'grey','chocolate','brown','aqua','goldenrod','yellow','lightsteelblue' ]\n",
    "eggs = [n for n in range(1,1+N)]\n",
    "\n",
    "for rep in range(10):\n",
    "    \n",
    "    L_rand= {}\n",
    "    random.shuffle(eggs)\n",
    "    plt.figure(figsize=(12,4))\n",
    "    for n in eggs:    \n",
    "        i =1+eggs.index(n)\n",
    "        L_rand[n] = i\n",
    "        x0,y0 = i , 1 \n",
    "        plt.scatter(x0,y0,s=1200, c = KOLOR[n-1], zorder =2)\n",
    "        plt.text(x0-0.13,y0-0.021,s=str(n)+'-'+ egg_names[n-1] + ' ' , zorder =2, fontweight='bold', fontsize=13, c='grey')\n",
    "        plt.text(x0-0.15,y0+0.021,s=str(i) , zorder =2, fontweight='bold', fontsize=13, c='grey')\n",
    "\n",
    "    success = sum(1 for (n,m) in connect if abs(L_rand[n]-L_rand[m]) ==1)\n",
    "    plt.text(4,0.96,s='Successful arrangement = ' + str(success), zorder =2, fontweight='bold', fontsize=14, c='k')\n",
    "\n",
    "\n",
    "\n",
    "    plt.grid()\n",
    "    plt.axis('off')\n",
    "    plt.savefig('Easter' + str(rep) + ' .png', format='png', dpi=400)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is used for visualization of teh results \n",
    "which class will have the exam and when "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "12\n"
     ]
    },
    {
     "data": {
      "image/png": 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zM1F5TfLl0QC65QoDE5PXJF8eDWDNhPWPk355NBjdl2V8mebnpXSrdkwD86rHvOoxr3rMqx7zqse86jGvesyrhlEVwWfT/LXqrq/aMQ3Mqx7zqse86jGvesyrHvOqx7zqMa8aRlUEXwxcPaL3XqyrgC823IbFMq96zKse86rHvOoxr3rMqx7zqse8ahhJERwRXeCvaW5v5HrgLVU7Jl/57urG82LY36E9KuZVSzcmI6+qHZNv+WTkVbVj4q1ct2ki8qraMfFWz8xMRF5VOyZetxxabzyvbvNTDBZlzYT0j2umpH8c1UgwwHuAnzL+FadbLfd9Y17u9jKvesyrHvOqx7zqMa96zKse86rHvBZpZEVwRNwMHAfcNKplzOMm4OnV8qdHt9toXtXyp4d51dKNZvOqlj89lje8fi2frrxWrtvUaF7V8qfG6pmZRvOqlj81uuVLF5rbfk3Blz70W9Nw/7hmivrHUY4EExHfAN5OuczJONwAnBkR/zam5Q1Xt9tIXnS75rU4U51XN5rJqxvTmRfLG1q/lk9nXivXbWokr5XrNk1lXqtnZhrJa/XMzFTm1YVmtl8wlXmtaah/XDNl/eNIi+DKq4HPMfo/xA3AZ4HXjHg5o2Ze9ZhXPeZVj3nVY171mFc95lWPeW3DyIvgiPgN8HRG+4fo/QGOq5Y3vbrdseZVLW96mVct3RhvXtXyptfyMa9fy6c7r5XrNo01r2p5U2v1zMxY86qWN7W6MN7tV1ne1Foz5v5xzRT2j+MYCSYibgGeShmav5HhTdbuVu/3duDYajnTr9sdS17VcqafedXSjfHkVS1n+i0f0/q1fMfIa+W6TWPJq1rO1Fs9MzOWvKrlTL0ujGf7VZYz9daMqX9cM6X9Y2fcV7HIzAcA5wH7sH3fcX095SzE46q5xzumTmfoeVVzaXdM5lVLJ4efVzX3eMe0cQTr1/IdN68NJy4bel7V3OMd0voVK4aeVzX3eIfUgeFvv8rc4x3S2hH0j2umvH8cexEMkJm7AC8EXgHsTfljdBbx0i4l/KuAtwDvm7qrQCxFpzO0vKbtqgZLYl61dHJ4eU3dVSCWYuMQ168puwrEUmw4cdnQ8pq2q0AsxfoVK4aW17RdBWIpOjC87deUXQViKdYOsX+cpqtAzKeRIrgnMzvAEcAfAQ8B9mfrCzx3gN2BzZTvoj4b+OLUfBHGMHU6S85rWr7YYajMq5ZOLj2vqfkijGHauB3r15R8EcYwbThx2ZLzmpYvwhim9StWLDmvafkijGHqlCyWtv2aki/CGKa129E/TssXYSxGo0XwoMzcDVhJ2TvZhbJXdhWwISJubLJtE6nTmTcvul3zGmRetXRy/ry6YV5b2bjA+rXcvAZtOHHZvHmtXLfJvAasX7Fi3rxWz8yY14AOzL/9KnNZ1WftAv3jmh24f5yoIliSJEkah7FcHUKSJEmaJBbBkiRJah2LYEmSJLWORbAkSZJaxyJYkiRJrWMRLEmSpNaxCJYkSVLrWARLkiSpdSyCJUmS1DoWwZIkSWodi2BJkiS1jkWwJEmSWmenphswKpn5POD9wKaIOLC673JgGXBCRJzTVNskgMy8CHg4kBFx6jzPORUI4AsRsWpcbZtUi8lsmmVmt/rvIyLiIv/+9WTmKuBCgIjoNNqYKZGZ5wDHA38XEc/LzAOBy6qH7xERly/mOWNttKbKJH8uGyuCM/NhwOuABwE7A5uBMyLiHdt43a7AGuA44ODq7u8B5wFrI+KmBV7+t8BewHe3r/XjlZnPBE4CDgV2h3orUrXB+gHQe839ImLDcFs5Ofo22INOWsT69Vzg5cC9KEdKfgbMAC+PiP8cbksX5f8AZ1DW8ZHKzP2BS4G9q7sW7Nz6N2zAVyPiQX3v88Pq/kdExEXDb21zMjOA5wD7Uj5TPwbOB1670PZnIK/5sj2jut08nNY2a6BY2spC27GBvH4LHBIR368e+x3KOrZn9XhvYGMzsxlOpcz8feCvgAcCdwSuBi4G/jIifjDPa94HPB/4XEQ8prpvFbP5PTMiPlTd/4/AauD8iDgGuAC4FvhajWZex2zO19V43dBl5kHAGyg7x3sD/wGc1vt9F3jdKub4PA7cvyNuv86i1F0HALsAm4B/AN4cEb9Z4HWrmM1l0AkRcc4kF7vzaaQIzszHAR+vln8hZaXdD7j3Nl63O/B5ysbhRuAT1UNPomw0npiZj4iIG+d6fUS8fii/wDZk5m2AzkIrVE2HUlbWS4GHLOH1L2C2AAZ4IfCy7W7V5PssW+7wXLrQkzPzCcDfAb8GPkbpfJYBRwC/C4y9CI6ITwOfHvVyMnMn4Fzgd5b4Fg/MzKdHxIeH2KxJdS/KjtEFwN2ApwAnUz5jJ2/PG0fEy7e3cROmv1jqeSJwT+p9nm5D2Wa9tPr5j5gtgG8VEd+j7MROpczsAP9C2cH6HvAp4PHMDvrcf56XXkQpgh+SmTtHxC3Aqr7HVwG9ovDh1e0XACJiPbC+Tjsj4momIOfMvAOlJlhGKeI/AzwTODcz2VYhPIb29f4Wo1zG7SLiVzVe8mJgA6WPO4iyPryRMsD22kW+x/vZcudnqgYW+zU1EnxmteyoWZi+lFIAd4FHRcQlAJn5YODL1WMvBd4814v7p0MAnwMuB24L3Ls3ypeZHwOOBt4ZEX+amfsACRxF2TBdBrwHeHtE/GZgpONPKCO2h1A28pfX+N3mFRGvqtr2bGoWwVVB/rzqx68DfwA8OzNfGRE3Z+bZwIuAD0bE6uo19wP+L6UYPIDyu7yVshG+A/BL4KvAKyZ8RHl9zWkvR1W3/xIRx/XurI4+3Lbv53tQRh6OoIw8XEYpns+IiFsG1okXUzrvg4BvAi+JiO8MLPdOmflBys7ctcDrI+LsalmnMnA4PDM/Bfw+cOfq9f8PeEdEnFXjdx10GnA4cEr1/7q6wGmZef58T8jMo4FXAvehrFvfpvyuX6geP5ayEb4HsAdwDaWj/rOI+OHA282b2ahFxLP7f87MT1AKu4PnfsXiDU6HmOPxbwL/A/jziDi9uu944BzK0Z6DI6I7+LqmDBZLmXknyk45zLOdnsdVwAmZeQpwPWU7exWzRy1677+KgZGozHw9pTD6Xcpgwn8BHwFeFRE31/yVRm1PSj8DcHJEfDwzTwTeSdkOz6c3Qrc75XP8JUpxcy3wi+r/ZOa9KANOUArnraZDLKaR80yZOJHSB969aseVlIL+5Ii4pnrd5ZQ++DRKYX4Y8A3KkZU/pmwvbwTeGBHvXERTHlq9H8BjI+LazLyOss09hdnCf7tUR64X7AP7cvwn4AbgGOCj1TZ8m/1BZu4JvLp63QGUoxrnAm/qDez1bR/+AngGcD/gMVR/y0XaYtuSmRdT+rInsfgi+PWDR7L6pqD2fu619QT6aqHMfBrwJsrn8cvA8RHxX9VjC/ZtA6PRz6X0JwcCl/S/Tx1jPzEuMw9mtrN4QGZemZlXZeZHqw/WQp5U3X65VwADVP//ysBzFhQRm5kdYXtO1ba9KHvdAGdXI8+XAC+hbHDPo3wATgfWzvG2pwPfonzwJmXj+jhgf8rhxOMp7doLeGr1eK9wOLr6EEJZuQA+Ua1UvwvcRDnk+x7gCuCxwPnVCOKkeltm3pyZP8jMv6lGDRbyo+r2iZl5YWa+KTMfTxnVvx4gM/ejbLRXU9aJcykb/bdQCuFBb6ZsLK+gbLAvyMzbDzznJEpnfgmlg1pXFdrzuQelOHwv8M/AfYF3Z+Yjt/H7zSkzn0iZYvQXVRuW4h8pn+uXzLOMl1BGHh5IGUH9OvBI4MLqyBCUzuxK4MOU3+3nwLHVew+qm9lQZeZjMvOMzPwoZZtxDXNvE4atN53nhX33Pa26PWeSCuB5/CllB2cz8IEar3t39boXUwra/YF3LfK1BwPfAf6esi7tSSnMX1Nj+WMREddRBokA3lpNczgF+BWlQJrvdZspO0EAqzJzF8oh7y9SCqT7VAM6q6rnXEPZCR2mgyjF3nrKTlmXUgDNNT3lFVV7fwo8jNJvHksZ1d0XOLMq2Lelf/rR4VUftqL6+b59fdq2nJKZb8vMt1HW0UF1+sBjKSP2H6SMuPabsz+ojgB8BngVZYCgV7y/jrlH6d9EmQ70AWpOR5lj53qX6nZwoGEht+ZV/etNM/1I33POqP4NjhK/g7Je3kgp4N/Y91idvm0tpR+5eY73WbQmCph9+v5/JKXDO5Ky93NIZh5Kqez7V8TvVXM5e6/9EVvrzaHbZ47H5nM28ATKyOgplD2rnSnzG79djbweRFn5e0X2Nykb4D/OzFcNvN/LI2KxG+ahqXYs5soLZjvLiyPi3zPz05TDty+kjP5+oxpdOgw4NjP/gVLgQVUgR8R5mfkT4MHAXSijxPejZHMwsHF0v92S3EzZmH6PskF9AvBnlA/YMQvk9Q5KkXYMpbNYRdko/SQzj42Ir1AOOe5FmSv84Ii4qcr0POCZmfmKgba8KCI+kpl3oay3+1J21M7te87nI+KoatT+GsqO1mHMP5fyKMrfcD/KBvNK4K7V/Z9fbEgAmXkApXg/PyJOr/a0B5+z0PrV8xZKp/A64F/nWFQvl3URcVL1vr1DvSdTRozOAP6dMtK5N6VwuSfwsMzcPSJu6Hu/upkNW++oU88XqbZBi8xrqdZTsr5vZj6EMi3jKMpO7lw7YRMjM3ej7LwAvLV3mHiReX2AcsTqJMo0pVsoo6OLGbl6MeXo3sGU6T7fpxQpR1EKzEnzYcpn6d7MDhj9G9V0rgXyuoiyTV5FmUO8a3XftZSBnoczWwR/MSJ+O+R2v4ZyROS+wJ0o/cK+zB5h6/euiHhZZr6U8rm/I/Dwqt/9KaWfOYwyEriQiynbm0dRishBe2bmXdn2+nXCQgup2QduBu7fO8owMLg3X3+wuXpvKNuSmynF8r0oA1QHDoy8ro2Iv1iozYuRmW+kHDm4ljKqutjP42Beb4uIr2XmOyg7AVtM7RroV54WEV/KzDXAX1OOTvfU6duOXeB9Fq2JIvgnff8/LSLekpmHUT7kK4DllKHw/jmrX6AUKFdSVrj92Frvvp/WaMunKCvigZTDAb0R0N5h5d5hll3Zeg7tLmxdcM83aXzU9meOvKoP/xOr+87tu30K8IjMPKg60eI9lFGV51IOFe5LOXxxAUBmns7887/uyuQVwS/pHxHLzDdRitknV6P7c+ZVFVnHZua+lB2zIygf9rtR9rwfTjlMBWXD0BuF6N/bP4ByolTPdwAi4srM/O9q2Qewpa9Wz/ltZl5LKejmHMHIzMMpG/5d5nj4rnO9ZhuOoRT1d87MT7Ll4eX3ZeYZlJGGuT6P/X4BvB54O2VEeVDvd+6fCrKBUgT3HvsnSrEyqEPpeDb13bfozEYhIt6QmadRthFnAU8G7peZ92Se9WtIy72pGh18JWVH9kLKjvtnI+KKYSxjhF5I+TteRdnm9Cwmr5uAdcCp1fPfHxE/ycwFF5iZd6QMXMx1lGApn5eRysy9KcXc7pRMzqYU8WcAn8nMZcyf10VU84KZLTwvouwkQimAt5gPPMR270Qp3uYqRObKubfNvKbvvt6I4XWU9WSbn+dqSuJRlO3YodVrf0sZJfw1ZYfpELa9fs13YhzVfXX6wK8sMM1mvv7gtn3Pmeto2t3ZcnrldtUaWab4vRf4Q0oB/riI6OW/mM/j9lwR5KvV7VXV7Z5Vm+r2bXO+T11NFMFXUFbMvfru6z9p65fVHJm5ziz8BGVv6SGZeXhEfA1uDa83V/aTi21I9QF6P2U04VTK4aOfM3sootepXAMsi4hf9F6bmfeMiB8O7OUtdGWKkakOb8yV1/OY/Ru/OzPf3fdYhzI37zWU0aW1lI1k733e2zdS8Lzq9q2UQ3KHMXvYfBLPAD2EcrJlT6fvduf58qp2xn5YTQH5EPChzPwNZcSv9wHrrRP3zMxdqo3d7/W9zQ/ZcoP2e8B/VHv+dx14j57+kxq2dTj7WZSNxA8o62vv6hX3met3WoTea46Y47FHUqbEvG2R730WZeP57Dkeu4IyarKi775ebldkOdv/6Ornl1M2uk+nHFLsb2dPncyGJjNvB9w2Im6qPh+XZZlT9xjKzvSdF/g8Dss6Zq+Q0yvu3j//05tXFUm9kwbP7E0vggW3X4PWUXZmdwX+ZpGLfjizGR1GGU19F+XEukncdh1IdQUg4EvVTs+Xq5/3AA5cIK9eYbQbpZD6OXBptaO4iXKks7eTe9GQ272C2QL4GMqJ76+kDB7M5dfV7a2f3Yj49TzP3ZadIuIjwEcy87bMTnO8sBqouIjt/1s/r7pdTB+4UB0wX3/QO7r9W+CgiLh1hz8zD45ywudil7GgzLwbZWragyi/w1Mj4tbBye3cft36N8zM28x1tCFmT+Ib3G7X6tsWeJ9axl4ER8SvM/OvKPNnX13N+zmyeviCbexdnEGZy/oAylzC/qtD3IYyV/PMeV47n/dSVupHVD//Y99h149SRrcOBL6Vmf9KOZz2AMre06qay1qSLCcUHU0pInr3nVP9d01E/Gyelz6/uv0+W47AHUJZsZ6XmadExHWZ+aHq+asoK/Lf9j3/x5TDVcdQfv9HL/mXGY9/z8xLKB+gu1GmQwD874i4doHXrQZOysyvUDLbldm50/9c3b6fMrXiLsBXMvNSqsM/wHlz7BidlWVe8UOB21GOhCx6R20OvVHm/Smfobuz8AkzC6oK3Lf1fh4YBam1tx8Rv8rMV1Omhgx6K+Xw9Z9URyhuT/m7dCm/x/WUUZw7UHbO7sfsUYxJsh/w7SzXK97M7HQbgG9GxGKPRH0sM/tHi94bEe9dzAsjYlM1av9kyuf1WkqnNsmeRRk1/yVLHBWvRs8eBuwWW59cOp/+E2X+FyWrRZ030pDvAv9NKZDOy8zPUQ71Q9l2zHsWfkRszswfUPqJvYFP9hUhX2D2SOfP2caVcpbgSkq/sROl+D2GuY/qjMLHM/NXlG3jQyiF5vVVO4ZlWH3gfP3BDZSRzQcCl1RTxXajbAf3ZO4jGUv1NUq/cRNlPXhVdUTl6lj8hQpOyXICYs+no1zJqP9o3XmZuZnyuVuMofZti9XUN8adQRkVuJLywdyZ8ksft9CLquL0SMrZ8pdRDus/pfp/AEcOzBvcpmqP64K+u87ue+x6ysjzuyh7IsdTOp3L+p83BodWy+4frTu++rfHXC/IzCMpxS7ACyLi6N4/yoklUCb733oiYN/LPzlwluXxlEOK+1H20BZ7BmlTTqdsOJ5B6UA2Utq8eqEXUQrdj1N2ep5F2eBtoqxbp8KtJ6AcTplWsk/1vB9RdqSeO/iGlPX8DyiHvL5COYP5l0v9xSjTDT5A2YA9ljJPaqknsw1dlEukbXW90YhYRxnZ/Tql3Q+ijNA8OiI+VY0CPYMygn8IZV7hqeNpdS3XUQ7Z3Z9SrD+ecpjyTMrvtViHUjq83r/9a7ajv5D8YCx8ffRGVSf99AqSs6JcMWJJIuLfIuJLNZ7/Ncr0nP+mnIDVZfEn1I1dlKsAPJpygtHtKQMTe1AGZB69iL9z/2Hyi+a5f+jzgSPix5TPwxWUOf13ZfHFz/b6FmVk9gRKH3U+5XyNS4e4jGH1gXP2B9Xf47GUkfNfUI6mPZayvTl9+5q+lbtXt7tSrsjxsurf8+d9xdZO6HvdyyiZEOUqPqdSartjq8fuPPdbbKWRvq3T7U76ycTSdEm/TUkjVhWWV1NGpw6PiK832yJJc7E/mGyTfHkrSdKAzOyd/HRHylVfLIAlaQksgiVpupzC7IXm55qCI0laBKdDSJIkqXWaOjFOkiRJaoxFsCRJklrHIliSJEmtYxEsSZKk1rEIliRJUutYBEuSJKl1LIIlSZLUOhbBkiRJah2LYEmSJLWORbAkSZJaxyJYkiRJrWMRLEmSpNaxCJYkSVLrWARLkiSpdSyCJUmS1DoWwZIkSWodi2BJkiS1jkWwJEmSWsciWJIkSa1jESxJkqTWsQiWJElS61gES5IkqXUsgiVJktQ6FsGSJElqHYtgSZIktY5FsCRJklrHIliSJEmtYxEsSZKk1rEIliRJUutYBEuSJKl1LIIlSZLUOhbBkiRJah2LYEmSJLWORbAkSZJaxyJYkiRJrWMRLEmSpNaxCJYkSVLrWARLkiSpdSyCJUmS1DoWwZIkSWodi2BJkiS1jkWwJEmSWsciWJIkSa1jESxJkqTWsQiWJElS61gES5IkqXUsgiVJktQ6FsGSJElqHYtgSZIktY5FsCRJklrHIliSJEmtYxEsSZKk1rEIliRJUutYBEuSJKl1LIIlSZLUOhbBkiRJah2LYEmSJLWORbAkSZJaxyJYkiRJrWMRLEmSpNaxCJYkSVLrWARLkiSpdSyCJUmS1DoWwZIkSWodi2BJkiS1jkWwJEmSWsciWJIkSa1jESxJkqTWsQiWJElS61gES5IkqXX+P1V3Rdk2yGjGAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "KOLOR = ['r', 'darkred', 'gold', 'g', 'r', 'grey','chocolate','brown','aqua','goldenrod','yellow','lightsteelblue' ]\n",
    "print(len(KOLOR))\n",
    "kvec = []\n",
    "dvec = []\n",
    "plt.figure(figsize=(12,4))\n",
    "for n in instance.n:    \n",
    "    for i in instance.i:\n",
    "        if value(instance.U[n,i])>0:\n",
    "            x0, y0  = i , 1\n",
    "            plt.scatter(x0,y0,s=1200, c = KOLOR[n-1], zorder =2)\n",
    "            plt.text(x0-0.13,y0-0.021,s=str(n)+'-'+ egg_names[n-1] + ' ' , zorder =2, fontweight='bold', fontsize=13, c='grey')\n",
    "            plt.text(x0-0.15,y0+0.021,s=str(i) , zorder =2, fontweight='bold', fontsize=13, c='grey')\n",
    "\n",
    "\n",
    "plt.grid()\n",
    "plt.axis('off')\n",
    "plt.savefig('Easter' + ' .png', format='png', dpi=400)\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}