PROJET CASSIOPEE - FINAL.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "kacI1sRq5O8d"
   },
   "source": [
    "$$\\mbox{Integer Programming}$$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "7rs2ZyGk5uv3"
   },
   "source": [
    "## INSTALLATION DES COMMANDES"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1) Télécharger Julia sur son ordinateur\n",
    "2) Télécharger Jupyter Notebook (dispo sur Anaconda)\n",
    "3) Remplacer \"path_offer\" et \"path_request\" par les bon chemins d'accès\n",
    "4) Renseigner la taille des tableaux dans \"range_offer\" et \"range_request\"\n",
    "5) Renseigner le bon nom des feuilles de calcul dans \"sheetname_offer\" et \"sheetname_request\"\n",
    "\n",
    "i) Il peut y avoir de dimension lors de l'execution de covoiturage() à cause de \"sheet[\"A1:AA300\"] = W\". Corriger ces erreurs en adaptant la taille du sheet comme demander par l'erreur pour que la taille du sheet et du tabelau W soit compatible."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "executionInfo": {
     "elapsed": 842,
     "status": "ok",
     "timestamp": 1674058086455,
     "user": {
      "displayName": "alemadd",
      "userId": "17164245525292720263"
     },
     "user_tz": -60
    },
    "id": "iIxu4TjlJnBG",
    "outputId": "43cb57be-a04d-4241-c705-9a448e256c8c"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "v\"1.8.5\""
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "VERSION"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\"Matching\""
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Chemin d'accès au fichier Excel\n",
    "path_offer = \"C:/Users/mayeu/CASSIOPEE/Offres_2022.xlsx\"\n",
    "\n",
    "# Nom de la feuille de calcul\n",
    "sheetname_offer = \"Matching\"\n",
    "\n",
    "# Plage de cellules à extraire\n",
    "range_offer = \"A1:AE31\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\"A1:AB44\""
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Chemin d'accès au fichier Excel\n",
    "path_request = \"C:/Users/mayeu/CASSIOPEE/Demandes_2022.xlsx\"\n",
    "\n",
    "# Nom de la feuille de calcul\n",
    "sheetname_request = \"Demandes\"\n",
    "\n",
    "# Plage de cellules à extraire\n",
    "range_request = \"A1:AB44\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## INITIALISATION DU CODE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m    Updating\u001b[22m\u001b[39m registry at `C:\\Users\\mayeu\\.julia\\registries\\General.toml`\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m SortingAlgorithms ─ v1.1.1\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Expat_jll ───────── v2.5.0+0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Parsers ─────────── v2.7.0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m JuMP ────────────── v1.12.0\n",
      "\u001b[32m\u001b[1m    Updating\u001b[22m\u001b[39m `C:\\Users\\mayeu\\CASSIOPEE\\Project.toml`\n",
      " \u001b[90m [4076af6c] \u001b[39m\u001b[93m↑ JuMP v1.11.1 ⇒ v1.12.0\u001b[39m\n",
      "\u001b[32m\u001b[1m    Updating\u001b[22m\u001b[39m `C:\\Users\\mayeu\\CASSIOPEE\\Manifest.toml`\n",
      " \u001b[90m [4076af6c] \u001b[39m\u001b[93m↑ JuMP v1.11.1 ⇒ v1.12.0\u001b[39m\n",
      " \u001b[90m [69de0a69] \u001b[39m\u001b[93m↑ Parsers v2.6.0 ⇒ v2.7.0\u001b[39m\n",
      " \u001b[90m [a2af1166] \u001b[39m\u001b[93m↑ SortingAlgorithms v1.1.0 ⇒ v1.1.1\u001b[39m\n",
      " \u001b[90m [2e619515] \u001b[39m\u001b[93m↑ Expat_jll v2.4.8+0 ⇒ v2.5.0+0\u001b[39m\n",
      "\u001b[32m\u001b[1mPrecompiling\u001b[22m\u001b[39m project...\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mSortingAlgorithms\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mExpat_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mWayland_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mFontconfig_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mxkbcommon_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mStatsBase\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mCairo_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mQt5Base_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mHarfBuzz_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mPango_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mlibass_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mFFMPEG_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39mCairo\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mFFMPEG\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mGR_jll\u001b[39m\n",
      "\u001b[33m  ✓ \u001b[39m\u001b[90mParsers\u001b[39m\n",
      "\u001b[33m  ✓ \u001b[39mJSON\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mInlineStrings\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mWeakRefStrings\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mBenchmarkTools\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mGR\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39mCompose\n",
      "\u001b[32m  ✓ \u001b[39mGraphPlot\n",
      "\u001b[32m  ✓ \u001b[39mCSV\n",
      "\u001b[32m  ✓ \u001b[39mPlots\n",
      "\u001b[32m  ✓ \u001b[39mMathOptInterface\n",
      "\u001b[32m  ✓ \u001b[39mGurobi\n",
      "\u001b[32m  ✓ \u001b[39mCPLEX\n",
      "\u001b[32m  ✓ \u001b[39mGLPK\n",
      "\u001b[32m  ✓ \u001b[39mJuMP\n",
      "  30 dependencies successfully precompiled in 95 seconds. 152 already precompiled.\n",
      "  \u001b[33m2\u001b[39m dependencies precompiled but different versions are currently loaded. Restart julia to access the new versions\n",
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mWe haven't cleaned this depot up for a bit, running Pkg.gc()...\n",
      "\u001b[32m\u001b[1m      Active\u001b[22m\u001b[39m manifest files: 3 found\n",
      "\u001b[32m\u001b[1m      Active\u001b[22m\u001b[39m artifact files: 77 found\n",
      "\u001b[32m\u001b[1m      Active\u001b[22m\u001b[39m scratchspaces: 6 found\n",
      "\u001b[32m\u001b[1m     Deleted\u001b[22m\u001b[39m 9 package installations (37.094 MiB)\n",
      "\u001b[32m\u001b[1m  Activating\u001b[22m\u001b[39m project at `C:\\Users\\mayeu\\CASSIOPEE`\n",
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `C:\\Users\\mayeu\\CASSIOPEE\\Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `C:\\Users\\mayeu\\CASSIOPEE\\Manifest.toml`\n"
     ]
    }
   ],
   "source": [
    "import Pkg\n",
    "using Pkg\n",
    "\n",
    "Pkg.update()\n",
    "\n",
    "Pkg.activate(\".\")\n",
    "\n",
    "Pkg.add([\"JuMP\", \"GLPK\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m    Updating\u001b[22m\u001b[39m registry at `C:\\Users\\mayeu\\.julia\\registries\\General.toml`\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Parsers ─ v2.6.0\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `C:\\Users\\mayeu\\CASSIOPEE\\Project.toml`\n",
      "\u001b[32m\u001b[1m    Updating\u001b[22m\u001b[39m `C:\\Users\\mayeu\\CASSIOPEE\\Manifest.toml`\n",
      " \u001b[90m [69de0a69] \u001b[39m\u001b[93m↑ Parsers v2.5.10 ⇒ v2.6.0\u001b[39m\n",
      "\u001b[32m\u001b[1mPrecompiling\u001b[22m\u001b[39m project...\n",
      "\u001b[33m  ✓ \u001b[39m\u001b[90mParsers\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mInlineStrings\u001b[39m\n",
      "\u001b[33m  ✓ \u001b[39mJSON\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mWeakRefStrings\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mBenchmarkTools\u001b[39m\n",
      "\u001b[33m  ✓ \u001b[39m\u001b[90mGR\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39mCompose\n",
      "\u001b[32m  ✓ \u001b[39mGraphPlot\n",
      "\u001b[32m  ✓ \u001b[39mCSV\n",
      "\u001b[33m  ✓ \u001b[39mPlots\n",
      "\u001b[32m  ✓ \u001b[39mMathOptInterface\n",
      "\u001b[32m  ✓ \u001b[39mGurobi\n",
      "\u001b[32m  ✓ \u001b[39mCPLEX\n",
      "\u001b[32m  ✓ \u001b[39mGLPK\n",
      "\u001b[32m  ✓ \u001b[39mJuMP\n",
      "  15 dependencies successfully precompiled in 208 seconds. 167 already precompiled.\n",
      "  \u001b[33m4\u001b[39m dependencies precompiled but different versions are currently loaded. Restart julia to access the new versions\n",
      "\u001b[32m\u001b[1m  Activating\u001b[22m\u001b[39m project at `C:\\Users\\mayeu\\CASSIOPEE`\n",
      "\u001b[32m\u001b[1m    Building\u001b[22m\u001b[39m CPLEX → `C:\\Users\\mayeu\\.julia\\scratchspaces\\44cfe95a-1eb2-52ea-b672-e2afdf69b78f\\355f43dfc8efa286434d9fbc37d69c88c54da708\\build.log`\n",
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `C:\\Users\\mayeu\\CASSIOPEE\\Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `C:\\Users\\mayeu\\CASSIOPEE\\Manifest.toml`\n"
     ]
    }
   ],
   "source": [
    "import Pkg\n",
    "using Pkg\n",
    "\n",
    "ENV[\"CPLEX_STUDIO_BINARIES\"] = \"C:\\\\Program Files\\\\IBM\\\\ILOG\\\\CPLEX_Studio_Community2211\\\\cplex\\\\bin\\\\x64_win64\"\n",
    "\n",
    "Pkg.update()\n",
    "\n",
    "Pkg.activate(\".\")\n",
    "\n",
    "Pkg.build(\"CPLEX\")\n",
    "\n",
    "Pkg.add([\"JuMP\", \"CPLEX\", \"GLPK\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m    Updating\u001b[22m\u001b[39m registry at `C:\\Users\\mayeu\\.julia\\registries\\General.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `C:\\Users\\mayeu\\CASSIOPEE\\Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `C:\\Users\\mayeu\\CASSIOPEE\\Manifest.toml`\n"
     ]
    }
   ],
   "source": [
    "using Pkg\n",
    "Pkg.update(\"JuMP\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `C:\\Users\\mayeu\\CASSIOPEE\\Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `C:\\Users\\mayeu\\CASSIOPEE\\Manifest.toml`\n"
     ]
    }
   ],
   "source": [
    "using Pkg\n",
    "Pkg.add(\"XLSX\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `C:\\Users\\mayeu\\CASSIOPEE\\Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `C:\\Users\\mayeu\\CASSIOPEE\\Manifest.toml`\n",
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `C:\\Users\\mayeu\\CASSIOPEE\\Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `C:\\Users\\mayeu\\CASSIOPEE\\Manifest.toml`\n"
     ]
    }
   ],
   "source": [
    "import Pkg\n",
    "Pkg.add(\"Plots\")\n",
    "Pkg.add(\"ColorSchemes\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "P7HRjerpdrtc"
   },
   "source": [
    "# Projet CASSIOPEE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Description : \n",
    "\n",
    "The project aims to develop an algorithm that generates a weekly carpooling schedule for a group of parents based on their availability and their children's transportation needs. The algorithm should balance the number of rides requested for a child with the number of available seats in a parent's car, to maximize the number of users satisfied and the car occupancy rate. The project may also include building a user-friendly interface for collecting user requests and exploring market opportunities for commercializing the solution. The goal is to reduce greenhouse gas emissions by promoting carpooling as an alternative to individual car transportation.\n",
    "\n",
    "### Assumption 1\n",
    "Each passenger issues one request per day and per direction\n",
    "\n",
    "### Simplification 1\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "INPUT :\n",
    "\n",
    "$$\n",
    "\\mathcal{O} = \\{ \\mathcal{o_1} , \\mathcal{o_2}, \\mathcal{o_3}, ... \\} \\ \\ \\forall i \\ \\ \\mathcal{o_i} = (d, t, wp, wi, p)  \\\\\n",
    "With : \\ \\ d \\rightarrow driver,\\ \\ t \\rightarrow time, \\ \\ wp \\rightarrow \\ \\ 1\\ \\ if \\ \\ week \\ \\ pair, \\ \\  wi \\rightarrow \\ \\ 1 \\ \\ if \\ \\ week \\ \\ impair, \\ \\ p \\rightarrow place \\\\ \n",
    "\\mathcal{O}  \\ \\ represents \\ \\ all \\ \\ offers \\ \\ proposed \\ \\ by \\ \\ the \\ \\ drivers \\\\\n",
    "\\\\ \\ \\ \\\\\n",
    "\\mathcal{R} = \\{ \\mathcal{r_1} , \\mathcal{r_2}, \\mathcal{r_3}, ... \\} \\ \\ \\forall i \\ \\ \\mathcal{r_i} = (p, t, wp, wi)  \\\\ \n",
    "With : \\ \\ p \\rightarrow passager,\\ \\ t \\rightarrow time, \\ \\ wp \\rightarrow \\ \\ 1\\ \\ if \\ \\ week \\ \\ pair, \\ \\  wi \\rightarrow \\ \\ 1 \\ \\ if \\ \\ week \\ \\ impair, \\ \\ \\\\\n",
    "\\mathcal{R} \\ \\ is \\ \\ the \\ \\ set \\ \\ of \\ \\ requests \\ \\ from \\ \\  passengers\n",
    "\\\\ \\ \\ \\\\\n",
    "A_{c, t, w} = \\{ 0 , 1 \\} \\ \\ \\rightarrow 1 \\ \\ if \\ \\ the \\ \\ driver \\ \\ c \\ \\ is \\ \\ for \\ \\ time \\ \\ t \\ \\ and \\ \\ week \\ \\ w \\\\\n",
    "B_{n, t, w} = \\{ 0 , 1 \\} \\ \\ \\rightarrow 1 \\ \\ if \\ \\ the \\ \\ passager \\ \\ n \\ \\ is \\ \\ for  \\ \\ time \\ \\ t \\ \\ and \\ \\ week \\ \\  w \\\\\n",
    "M_{n, c, t, w} = \\{ 0 , 1 \\} \\ \\ \\rightarrow 1 \\ \\ if \\ \\ driver \\ \\ c \\ \\ is \\ \\ parent \\ \\ of \\ \\ the \\ \\  child \\ \\ n  \\\\\n",
    "K_{c}  \\rightarrow number \\ \\ of \\ \\ places \\ \\ in \\ \\ the \\ \\ car \\ \\ of \\ \\ the \\ \\ driver \\ \\ of \\ \\  the \\ \\ offer \\ \\ o  \\\\\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Decision Variables :\n",
    "\n",
    "$$\n",
    "X_{n, c, t, w} = \\{ 0 , 1 \\} \\ \\ \\rightarrow 1 \\ \\ if \\ \\ we \\ \\ accept \\ \\ the \\ \\ offer \\ \\ o \\ \\ for \\ \\ the \\ \\ request \\ \\ r \\ \\ on \\ \\ the \\ \\ time \\ \\ t \\ \\ and \\ \\ the \\ \\ week \\ \\ w   \\\\\n",
    "E_{c, t, w} = \\{ 0 , 1 \\} \\ \\ \\rightarrow 1 \\ \\ if \\ \\ the \\ \\ driver \\ \\ c \\ \\ is \\ \\ request \\ \\ for \\ \\ the \\ \\ time \\ \\ t \\ \\ and \\ \\ the \\ \\ week \\ \\ w   \\\\\n",
    "N_{c} \\ \\ type \\ \\ Int \\ \\ represent \\ \\ the \\ \\ number \\ \\ of \\ \\ car \\ \\ used \\ \\ for \\ \\ the \\ \\ time \\ \\ t \\ \\ and \\ \\ the \\ \\ week \\ \\ w   \\\\\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The constraints :\n",
    "$$\n",
    "Each \\ \\ request \\ \\ can \\ \\ only \\ \\ be \\ \\ attributed \\ \\ to \\ \\ one \\ \\ offer \\ \\ at \\ \\ a \\ \\ time \\ \\ t \\ \\ and \\ \\ a \\ \\ week \\ \\ w \\\\\n",
    "\\forall n, t, w \\sum_{o} X_{n, c, t, w} A_{n, t, w} B_{c, t, w} \\le 1 \\\\\n",
    "Number \\ \\ of \\ \\ request \\ \\ attribute \\ \\ to \\ \\ each \\ \\ offer \\ \\ o \\ \\ must \\ \\ be \\ \\ less \\ \\ than \\ \\ the \\ \\ number \\ \\ of \\ \\ places \\ \\ available : \\\\\n",
    "\\forall c, t, w \\sum_{n} X_{n, c, t, w} \\le K_o \\\\\n",
    "\\\\\n",
    "No \\ \\ request \\ \\ can \\ \\ be \\ \\ attributed \\ \\ to \\ \\ a \\ \\ non-existent \\ \\ offer : \\\\\n",
    "if \\ \\ A_{c, t, w}==0, \\ \\ \\sum_{n} X_{n, c, t, w} == 0 \\\\\n",
    "No \\ \\ offer \\ \\ can \\ \\ be \\ \\ associated \\ \\ to \\ \\ a \\ \\ non-existent \\ \\ request : \\\\\n",
    "if \\ \\ B_{n, t, w}==0, \\ \\ \\sum_{c} X_{n, c, t, w} == 0 \\\\\n",
    "E_{c,t,w} > 10^{-6} * \\sum_{n, t, w} X_{n, c, t, w} \\\\\n",
    "G_c = \\sum_{t, w} E_{c, t, w}, \\ \\ \\forall c\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Objective Fonction :\n",
    "\n",
    "The objective function aims to maximise the number of satisfied requests :\n",
    "$$\n",
    "max \\sum_{n, c, t, w} X_{n,c,t,w} .* M_{n, c}(\\beta) - \\alpha \\sum_c G_c\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mPrecompiling JuMP [4076af6c-e467-56ae-b986-b466b2749572]\n",
      "\u001b[33m\u001b[1m┌ \u001b[22m\u001b[39m\u001b[33m\u001b[1mWarning: \u001b[22m\u001b[39mModule JSON with build ID 19998298864201 is missing from the cache.\n",
      "\u001b[33m\u001b[1m│ \u001b[22m\u001b[39mThis may mean JSON [682c06a0-de6a-54ab-a142-c8b1cf79cde6] does not support precompilation but is imported by a module that does.\n",
      "\u001b[33m\u001b[1m└ \u001b[22m\u001b[39m\u001b[90m@ Base loading.jl:1325\u001b[39m\n",
      "\u001b[33m\u001b[1m┌ \u001b[22m\u001b[39m\u001b[33m\u001b[1mWarning: \u001b[22m\u001b[39mModule JSON with build ID 19998298864201 is missing from the cache.\n",
      "\u001b[33m\u001b[1m│ \u001b[22m\u001b[39mThis may mean JSON [682c06a0-de6a-54ab-a142-c8b1cf79cde6] does not support precompilation but is imported by a module that does.\n",
      "\u001b[33m\u001b[1m└ \u001b[22m\u001b[39m\u001b[90m@ Base loading.jl:1325\u001b[39m\n",
      "\u001b[33m\u001b[1m┌ \u001b[22m\u001b[39m\u001b[33m\u001b[1mWarning: \u001b[22m\u001b[39mModule JSON with build ID 19998298864201 is missing from the cache.\n",
      "\u001b[33m\u001b[1m│ \u001b[22m\u001b[39mThis may mean JSON [682c06a0-de6a-54ab-a142-c8b1cf79cde6] does not support precompilation but is imported by a module that does.\n",
      "\u001b[33m\u001b[1m└ \u001b[22m\u001b[39m\u001b[90m@ Base loading.jl:1325\u001b[39m\n",
      "\u001b[33m\u001b[1m┌ \u001b[22m\u001b[39m\u001b[33m\u001b[1mWarning: \u001b[22m\u001b[39mModule JSON with build ID 19998298864201 is missing from the cache.\n",
      "\u001b[33m\u001b[1m│ \u001b[22m\u001b[39mThis may mean JSON [682c06a0-de6a-54ab-a142-c8b1cf79cde6] does not support precompilation but is imported by a module that does.\n",
      "\u001b[33m\u001b[1m└ \u001b[22m\u001b[39m\u001b[90m@ Base loading.jl:1325\u001b[39m\n",
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mSkipping precompilation since __precompile__(false). Importing JuMP [4076af6c-e467-56ae-b986-b466b2749572].\n",
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mPrecompiling MathOptInterface [b8f27783-ece8-5eb3-8dc8-9495eed66fee]\n",
      "\u001b[33m\u001b[1m┌ \u001b[22m\u001b[39m\u001b[33m\u001b[1mWarning: \u001b[22m\u001b[39mModule JSON with build ID 19998298864201 is missing from the cache.\n",
      "\u001b[33m\u001b[1m│ \u001b[22m\u001b[39mThis may mean JSON [682c06a0-de6a-54ab-a142-c8b1cf79cde6] does not support precompilation but is imported by a module that does.\n",
      "\u001b[33m\u001b[1m└ \u001b[22m\u001b[39m\u001b[90m@ Base loading.jl:1325\u001b[39m\n",
      "\u001b[33m\u001b[1m┌ \u001b[22m\u001b[39m\u001b[33m\u001b[1mWarning: \u001b[22m\u001b[39mModule JSON with build ID 19998298864201 is missing from the cache.\n",
      "\u001b[33m\u001b[1m│ \u001b[22m\u001b[39mThis may mean JSON [682c06a0-de6a-54ab-a142-c8b1cf79cde6] does not support precompilation but is imported by a module that does.\n",
      "\u001b[33m\u001b[1m└ \u001b[22m\u001b[39m\u001b[90m@ Base loading.jl:1325\u001b[39m\n",
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mSkipping precompilation since __precompile__(false). Importing MathOptInterface [b8f27783-ece8-5eb3-8dc8-9495eed66fee].\n",
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mPrecompiling BenchmarkTools [6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf]\n",
      "\u001b[33m\u001b[1m┌ \u001b[22m\u001b[39m\u001b[33m\u001b[1mWarning: \u001b[22m\u001b[39mModule JSON with build ID 19998298864201 is missing from the cache.\n",
      "\u001b[33m\u001b[1m│ \u001b[22m\u001b[39mThis may mean JSON [682c06a0-de6a-54ab-a142-c8b1cf79cde6] does not support precompilation but is imported by a module that does.\n",
      "\u001b[33m\u001b[1m└ \u001b[22m\u001b[39m\u001b[90m@ Base loading.jl:1325\u001b[39m\n",
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mSkipping precompilation since __precompile__(false). Importing BenchmarkTools [6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf].\n",
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mPrecompiling GLPK [60bf3e95-4087-53dc-ae20-288a0d20c6a6]\n",
      "\u001b[33m\u001b[1m┌ \u001b[22m\u001b[39m\u001b[33m\u001b[1mWarning: \u001b[22m\u001b[39mModule MathOptInterface with build ID 711803660096221 is missing from the cache.\n",
      "\u001b[33m\u001b[1m│ \u001b[22m\u001b[39mThis may mean MathOptInterface [b8f27783-ece8-5eb3-8dc8-9495eed66fee] does not support precompilation but is imported by a module that does.\n",
      "\u001b[33m\u001b[1m└ \u001b[22m\u001b[39m\u001b[90m@ Base loading.jl:1325\u001b[39m\n",
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mSkipping precompilation since __precompile__(false). Importing GLPK [60bf3e95-4087-53dc-ae20-288a0d20c6a6].\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "MathOptInterface"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using JuMP, GLPK\n",
    "using MathOptInterface\n",
    "\n",
    "const MOI = MathOptInterface"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "using JuMP, CPLEX, GLPK\n",
    "using MathOptInterface\n",
    "\n",
    "const MOI = MathOptInterface"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[\"Lundi 8h\", \"Lundi 9h\", \"Lundi 15h30\", \"Lundi 16h30\", \"Lundi 17h30\", \"Lundi 18h30\", \"Mardi 8h\", \"Mardi 9h\", \"Mardi 15h30\", \"Mardi 16h30\", \"Mardi 17h30\", \"Mardi 18h30\", \"Mercredi 8h\", \"Mercredi 9h\", \"Mercredi 12h30\", \"Jeudi 8h\", \"Jeudi 9h\", \"Jeudi 15h30\", \"Jeudi 16h30\", \"Jeudi 17h30\", \"Jeudi 18h30\", \"Vendredi 8h\", \"Vendredi 9h\", \"Vendredi 15h30\", \"Vendredi 16h30\", \"Vendredi 17h30\"]\n",
      "\n",
      "[\"GUECHAY\", \"TELFRO\", \"MIPO\", \"SERROU\", \"NOMAR\", \"FRAYJOU\", \"KICHO\", \"TRULA\", \"LUPA\", \"TEVA\", \"CHIBLA\", \"TINKRYS\", \"VALMONT\", \"LONMI\", \"BISAL\", \"MEGUI\", \"DINJOUR\", \"NALI\", \"LEDROU\", \"NETI\", \"GRALE\", \"DRIMI\", \"TISMA\", \"PUSTA\", \"RINTEAU\", \"LIEBA\", \"NANCO\", \"SALA\", \"GISME\", \"BOT\"]\n",
      "\n",
      "[\"Artus GUECHAY\" \"Eloi GUECHAY\" \"missing\"; \"Aymeric TELFRO\" \"missing\" \"missing\"; \"Mayeul MIPO\" \"missing\" \"missing\"; \"Clovis SERROU\" \"missing\" \"missing\"; \"Louis NOMAR\" \"Victor NOMAR\" \"missing\"; \"Juliette FRAYJOU\" \"missing\" \"missing\"; \"Nicolas KICHO\" \"missing\" \"missing\"; \"Louis TRULA\" \"Paul TRULA\" \"missing\"; \"Basile LUPA\" \"Valentine LUPA\" \"missing\"; \"Wandrille TEVA\" \"missing\" \"missing\"; \"Arthur CHIBLA\" \"Corentin CHIBLA\" \"missing\"; \"Louis TINKRYS\" \"missing\" \"missing\"; \"Malo VALMONT\" \"missing\" \"missing\"; \"Clémence LONMI\" \"missing\" \"missing\"; \"François BISAL\" \"missing\" \"missing\"; \"Germain MEGUI\" \"Madeleine MEGUI\" \"missing\"; \"Mateo DINJOUR\" \"missing\" \"missing\"; \"Théophile NALI \" \"missing\" \"missing\"; \"Ambroise LEDROU\" \"missing\" \"missing\"; \"Marie NETI\" \"missing\" \"missing\"; \"Apolline GRALE\" \"Claire GRALE\" \"Emma GRALE\"; \"Apolline DRIMI\" \"Léandre DRIMI\" \"missing\"; \"Alya TISMA\" \"missing\" \"missing\"; \"Aramis PUSTA\" \"Taissia PUSTA\" \"missing\"; \"Solveig RINTEAU\" \"Soren RINTEAU\" \"missing\"; \"Victor LIEBA\" \"missing\" \"missing\"; \"Victor NANCO\" \"Amaury NANCO\" \"missing\"; \"Pablo SALA\" \"Zoe SALA\" \"missing\"; \"Christelle GISME\" \"missing\" \"missing\"; \"Antoine BOT\" \"missing\" \"missing\"]\n",
      "\n",
      "[5, 4, 6, 4, 4, 4, 6, 6, 4, 6, 6, 6, 8, 4, 6, 4, 4, 6, 5, 4, 6, 6, 4, 4, 6, 5, 6, 4, 5, 6]\n",
      "\n",
      "Tableau offers :\n",
      "[\"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\"; \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\"; \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Oui\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\"; \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\"; \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\"; \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\"]"
     ]
    }
   ],
   "source": [
    "using XLSX\n",
    "\n",
    "# Lire les données de la plage de cellules spécifiée\n",
    "data_offers = XLSX.readdata(path_offer, sheetname_offer, range_offer)\n",
    "horaire_offers = string.(data_offers[1, 6:end])\n",
    "data_offers = data_offers[2:end, :]\n",
    "name_offers = string.(data_offers[:, 1])\n",
    "child_offers = string.(data_offers[:, 3:5])\n",
    "number_places = convert.(Int64, data_offers[:, 2])\n",
    "data_offers = string.(data_offers[:, 6:end])\n",
    "\n",
    "# Afficher les données\n",
    "println(horaire_offers)\n",
    "println()\n",
    "println(name_offers)\n",
    "println()\n",
    "println(child_offers)\n",
    "println()\n",
    "println(number_places)\n",
    "println()\n",
    "# Afficher le tableau offers\n",
    "println(\"Tableau offers :\")\n",
    "show(data_offers)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[\"Lundi 8h\", \"Lundi 9h\", \"Lundi 15h30\", \"Lundi 16h30\", \"Lundi 17h30\", \"Lundi 18h30\", \"Mardi 8h\", \"Mardi 9h\", \"Mardi 15h30\", \"Mardi 16h30\", \"Mardi 17h30\", \"Mardi 18h30\", \"Mercredi 8h\", \"Mercredi 9h\", \"Mercredi 12h30\", \"Jeudi 8h\", \"Jeudi 9h\", \"Jeudi 15h30\", \"Jeudi 16h30\", \"Jeudi 17h30\", \"Jeudi 18h30\", \"Vendredi 8h\", \"Vendredi 9h\", \"Vendredi 15h30\", \"Vendredi 16h30\", \"Vendredi 17h30\", \"Vendredi 18h30\"]\n",
      "\n",
      "[\"Victor LIEBA\", \"Louis NOMAR\", \"Victor NOMAR\", \"Arthur CHIBLA\", \"Corentin CHIBLA\", \"Artus GUECHAY\", \"Eloi GUECHAY\", \"Louis TINKRYS\", \"François BISAL\", \"Malo VALMONT\", \"Ambroise LEDROU\", \"Marie NETI\", \"Mateo DINJOUR\", \"Aymeric TELFRO\", \"Germain MEGUI\", \"Madeleine MEGUI\", \"Juliette FRAYJOU\", \"Louis TRULA\", \"Paul TRULA\", \"Pablo SALA\", \"Zoe SALA\", \"Apolline GRALE\", \"Claire GRALE\", \"Emma GRALE\", \"Théophile NALI \", \"Apolline DRIMI\", \"Léandre DRIMI\", \"Clémence LONMI\", \"Victor NEMO\", \"Nicolas KICHO\", \"Christelle GISME\", \"Basile LUPA\", \"Valentine LUPA\", \"Mayeul MIPO\", \"Clovis SERROU\", \"Alya TISMA\", \"Antoine BOT\", \"Aramis PUSTA\", \"Taissia PUSTA\", \"Solveig RINTEAU\", \"Soren RINTEAU\", \"Victor NANCO\", \"Wandrille TEVA\"]\n",
      "\n",
      "Tableau passagers :\n",
      "[\"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Impair\" \"Pair\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\"; \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Pair\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Pair\" \"Impair\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Impair\" \"Pair\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\"; \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Oui\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Impair\" \"Pair\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Pair\" \"Impair\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Oui\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\" \"Oui\" \"Non\"; \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\"; \"Oui\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Non\" \"Non\" \"Non\" \"Non\" \"Oui\" \"Non\" \"Impair\" \"Pair\" \"Non\" \"Non\"]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "using XLSX\n",
    "\n",
    "# Lire les données de la plage de cellules spécifiée\n",
    "data_requests = XLSX.readdata(path_request, sheetname_request, range_request)\n",
    "horaire_requests = string.(data_requests[1, 2:end])\n",
    "data_requests = data_requests[2:end, :]\n",
    "name_requests = string.(data_requests[:, 1])\n",
    "data_requests = string.(data_requests[:, 2:end])\n",
    "\n",
    "# Afficher les données\n",
    "println(horaire_requests)\n",
    "println()\n",
    "println(name_requests)\n",
    "println()\n",
    "# Afficher le tableau request\n",
    "println(\"Tableau passagers :\")\n",
    "println(data_requests)\n",
    "println()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Le nombre de demande de trajet est : 671\n",
      "\n",
      "[1 26; 2 5; 3 5; 4 11; 5 11; 6 1; 7 1; 8 12; 9 15; 10 13; 11 19; 12 20; 13 17; 14 2; 15 16; 16 16; 17 6; 18 8; 19 8; 20 28; 21 28; 22 21; 23 21; 24 21; 25 18; 26 22; 27 22; 28 14; 29 0; 30 7; 31 29; 32 9; 33 9; 34 3; 35 4; 36 23; 37 30; 38 24; 39 24; 40 25; 41 25; 42 27; 43 10]\n",
      "\n",
      "[1 20; 2 32; 3 12; 4 56; 5 40; 6 40; 7 60; 8 60; 9 56; 10 36; 11 48; 12 24; 13 80; 14 56; 15 36; 16 40; 17 32; 18 36; 19 50; 20 24; 21 108; 22 60; 23 48; 24 56; 25 60; 26 40; 27 36; 28 40; 29 40; 30 12]\n",
      "\n",
      "[1 40; 2 40; 3 40; 4 48; 5 48; 6 20; 7 20; 8 24; 9 36; 10 80; 11 50; 12 24; 13 32; 14 32; 15 40; 16 40; 17 40; 18 60; 19 60; 20 40; 21 40; 22 108; 23 108; 24 108; 25 36; 26 60; 27 60; 28 56; 29 0; 30 60; 31 40; 32 56; 33 56; 34 12; 35 56; 36 48; 37 12; 38 56; 39 56; 40 60; 41 60; 42 36; 43 36]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "nb_driver = size(name_offers, 1)\n",
    "nb_passager = size(name_requests, 1)\n",
    "\n",
    "\n",
    "count_driver = zeros(Int, nb_driver, 2)\n",
    "nb_request = 0\n",
    "\n",
    "for i in 1:nb_passager\n",
    "    for j in 1:size(data_requests, 2)\n",
    "        if data_requests[i, j] == \"Oui\"\n",
    "            nb_request += 2\n",
    "        elseif data_requests[i, j] == \"Impair\"\n",
    "            nb_request += 1\n",
    "        elseif data_requests[i, j] == \"Pair\"\n",
    "            nb_request += 1\n",
    "        end\n",
    "    end\n",
    "end\n",
    "\n",
    "\n",
    "println(\"Le nombre de demande de trajet est : \", nb_request)\n",
    "println()\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "family = zeros(Int, nb_passager, 2)\n",
    "\n",
    "for i in 1:nb_passager\n",
    "    family[i,1]=i\n",
    "    for j in 1:nb_driver\n",
    "        if child_offers[j,1] == name_requests[i] || child_offers[j,2] == name_requests[i] || child_offers[j,3] == name_requests[i]\n",
    "            family[i,2]=j\n",
    "        end\n",
    "    end\n",
    "end\n",
    "\n",
    "println(family)\n",
    "println()\n",
    "    \n",
    "   \n",
    "\n",
    "\n",
    "count_driver = zeros(Int, nb_driver, 2)\n",
    "\n",
    "for i in 1:nb_driver\n",
    "    count_driver[i,1]=i\n",
    "    for j in 1:size(data_offers, 2)\n",
    "        if data_offers[i, j] == \"Oui\"\n",
    "            count_driver[i,2] += 2 * number_places[i]\n",
    "        elseif data_offers[i, j] == \"Impair\"\n",
    "            count_driver[i,2] += number_places[i]\n",
    "        elseif data_offers[i, j] == \"Pair\"\n",
    "            count_driver[i,2] += number_places[i]\n",
    "        end\n",
    "    end\n",
    "end\n",
    "\n",
    "println(count_driver)\n",
    "println()\n",
    "\n",
    "count_passager = zeros(Int, nb_passager, 2)\n",
    "\n",
    "for i in 1:nb_passager\n",
    "    count_passager[i,1]=i\n",
    "    for j in 1:nb_driver\n",
    "        if family[i,2] == count_driver[j,1]\n",
    "            count_passager[i,2]= count_driver[j,2]\n",
    "        end\n",
    "    end\n",
    "end\n",
    "\n",
    "println(count_passager)\n",
    "\n",
    "println()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Nombre d'horaire T = 27\n",
      "Nombre de passagers N = 43\n",
      "Nombre de driver C = 30\n",
      "Nombre de place par voiture = [5, 4, 6, 4, 4, 4, 6, 6, 4, 6, 6, 6, 8, 4, 6, 4, 4, 6, 5, 4, 6, 6, 4, 4, 6, 5, 6, 4, 5, 6]\n",
      "Nombre d'horaires dans ma semaine = 27\n"
     ]
    }
   ],
   "source": [
    "# Nombre d'Heure\n",
    "T = size(data_requests, 2)\n",
    "println(\"Nombre d'horaire T = \", T)\n",
    "\n",
    "# Nombre de passagers\n",
    "N = size(data_requests, 1)\n",
    "println(\"Nombre de passagers N = \", N)\n",
    "\n",
    "# Nombre de driver\n",
    "C = size(data_offers, 1)\n",
    "println(\"Nombre de driver C = \", C)\n",
    "\n",
    "# Capacité de chaque voiture\n",
    "K = number_places\n",
    "println(\"Nombre de place par voiture = \", K)\n",
    "\n",
    "# Nombre d'Horaires\n",
    "H = size(horaire_requests, 1)\n",
    "println(\"Nombre d'horaires dans ma semaine = \", H)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Matrice O :\n",
      "[1 13 1 1 5; 1 16 1 1 5; 2 2 1 1 4; 2 13 1 1 4; 2 14 1 1 4; 2 23 1 1 4; 3 1 1 1 6; 4 4 1 1 4; 4 7 1 1 4; 4 9 1 1 4; 4 14 1 1 4; 4 18 1 1 4; 4 22 1 1 4; 4 24 1 1 4; 5 5 1 1 4; 5 7 1 1 4; 5 15 1 1 4; 5 16 1 1 4; 5 22 1 1 4; 6 2 1 1 4; 6 7 1 1 4; 6 13 1 1 4; 6 16 1 1 4; 6 22 1 1 4; 7 7 1 1 6; 7 11 1 1 6; 7 16 1 1 6; 7 19 1 1 6; 7 22 1 1 6; 8 1 1 1 6; 8 7 1 1 6; 8 13 1 1 6; 8 16 1 1 6; 8 22 1 1 6; 9 1 1 1 4; 9 4 1 1 4; 9 13 1 1 4; 9 16 1 1 4; 9 18 1 1 4; 9 22 1 1 4; 9 25 1 1 4; 10 3 1 1 6; 10 24 1 1 6; 10 25 1 1 6; 11 1 1 1 6; 11 13 1 1 6; 11 22 1 1 6; 11 26 1 1 6; 12 16 1 1 6; 12 22 1 1 6; 13 1 1 1 8; 13 7 1 1 8; 13 13 1 1 8; 13 16 1 1 8; 13 22 1 1 8; 14 1 1 1 4; 14 4 1 1 4; 14 7 1 1 4; 14 8 1 1 4; 14 10 1 1 4; 14 19 1 1 4; 14 22 1 1 4; 15 8 1 1 6; 15 13 1 1 6; 15 16 1 1 6; 16 1 1 1 4; 16 7 1 1 4; 16 13 1 1 4; 16 16 1 1 4; 16 22 1 1 4; 17 1 1 1 4; 17 13 1 1 4; 17 15 1 1 4; 17 22 1 1 4; 18 5 1 1 6; 18 16 1 1 6; 18 20 1 1 6; 19 3 1 1 5; 19 7 1 1 5; 19 9 1 1 5; 19 16 1 1 5; 19 18 1 1 5; 20 7 1 1 4; 20 16 1 1 4; 20 25 1 1 4; 21 1 1 1 6; 21 5 1 1 6; 21 7 1 1 6; 21 13 1 1 6; 21 14 1 1 6; 21 16 1 1 6; 21 20 1 1 6; 21 22 1 1 6; 21 23 1 1 6; 22 1 1 1 6; 22 7 1 1 6; 22 13 1 1 6; 22 22 1 1 6; 22 25 1 1 6; 23 1 1 1 4; 23 7 1 1 4; 23 8 1 1 4; 23 15 1 1 4; 23 16 1 1 4; 23 19 1 1 4; 24 7 1 1 4; 24 10 1 1 4; 24 13 1 1 4; 24 16 1 1 4; 24 20 1 1 4; 24 22 1 1 4; 24 26 1 1 4; 25 5 1 1 6; 25 11 1 1 6; 25 15 1 1 6; 25 20 1 1 6; 25 25 1 1 6; 26 1 1 1 5; 26 15 1 1 5; 26 16 1 1 5; 26 22 1 1 5; 27 7 1 1 6; 27 13 1 1 6; 27 16 1 1 6; 28 1 1 1 4; 28 6 1 1 4; 28 7 1 1 4; 28 22 1 1 4; 28 26 1 1 4; 29 4 1 1 5; 29 7 1 1 5; 29 15 1 1 5; 29 16 1 1 5; 30 22 1 1 6]\n",
      "\n",
      "Matrice R :\n",
      "[1 1 1 1; 1 5 1 1; 1 7 1 1; 1 11 1 1; 1 14 1 1; 1 15 1 1; 1 16 1 1; 1 20 1 1; 1 22 1 1; 1 26 1 1; 2 1 1 1; 2 5 1 1; 2 7 1 1; 2 11 1 1; 2 13 1 1; 2 15 1 1; 2 16 1 1; 2 20 1 1; 2 22 1 1; 2 25 1 1; 3 1 1 1; 3 4 1 1; 3 7 1 1; 3 10 1 1; 3 13 1 1; 3 15 1 1; 3 17 1 1; 3 19 1 1; 3 22 1 1; 4 1 1 1; 4 7 1 1; 4 11 1 1; 4 13 1 1; 4 14 1 1; 4 16 1 1; 4 22 1 1; 5 1 1 1; 5 7 1 1; 5 11 1 1; 5 13 1 1; 5 16 1 1; 5 22 1 1; 6 1 1 1; 6 7 1 1; 6 13 1 1; 6 16 1 1; 7 1 1 1; 7 6 1 1; 7 7 1 1; 7 13 1 1; 7 16 1 1; 7 22 1 1; 8 1 1 1; 8 7 1 1; 8 13 1 1; 8 16 1 1; 8 22 1 1; 9 1 1 1; 9 5 1 1; 9 8 1 1; 9 13 1 1; 9 16 1 1; 9 22 1 1; 10 1 1 1; 10 7 1 1; 10 13 1 1; 10 16 1 1; 10 22 1 1; 11 1 1 1; 11 5 1 1; 11 7 1 1; 11 11 1 1; 11 14 1 1; 11 15 1 1; 11 16 1 1; 11 20 1 1; 11 22 1 1; 11 26 1 1; 12 1 1 1; 12 4 1 1; 12 7 1 1; 12 13 1 1; 12 16 1 1; 12 19 1 1; 12 22 1 1; 12 25 1 1; 13 1 1 1; 13 4 1 1; 13 7 0 1; 13 8 1 0; 13 9 1 1; 13 13 1 1; 13 15 1 1; 13 16 1 1; 13 19 1 1; 13 22 1 1; 14 2 1 1; 14 5 1 1; 14 7 1 1; 14 14 1 1; 14 16 1 1; 14 21 1 1; 14 22 1 1; 15 1 1 1; 15 7 1 1; 15 13 1 1; 15 16 1 1; 15 18 1 1; 15 22 1 1; 15 24 1 1; 16 2 1 1; 16 7 1 1; 16 13 1 1; 16 16 1 1; 16 22 1 1; 17 2 1 1; 17 5 1 1; 17 7 1 1; 17 8 1 1; 17 13 1 1; 17 16 1 1; 17 20 1 1; 17 22 1 1; 18 1 1 1; 18 7 1 1; 18 13 1 1; 18 16 1 1; 18 22 1 1; 19 1 1 1; 19 6 1 1; 19 8 1 0; 19 10 1 1; 19 13 1 1; 19 16 1 0; 19 17 0 1; 19 22 1 1; 20 1 1 1; 20 4 1 1; 20 7 1 1; 20 10 1 1; 20 13 1 1; 20 15 1 1; 20 17 1 1; 20 22 1 1; 21 1 1 1; 21 6 1 1; 21 7 1 1; 21 12 1 1; 21 13 1 1; 21 16 1 1; 21 20 1 1; 21 22 1 1; 21 26 1 1; 22 1 1 1; 22 7 1 1; 22 13 1 1; 22 15 1 1; 22 16 1 1; 22 23 1 1; 22 25 1 1; 23 1 1 1; 23 7 1 1; 23 13 1 1; 23 16 1 1; 23 19 1 1; 23 22 1 1; 24 1 1 1; 24 5 1 1; 24 7 1 1; 24 11 1 1; 24 14 1 1; 24 16 1 1; 24 20 1 1; 24 22 1 1; 25 1 1 1; 25 5 1 1; 25 8 1 1; 25 11 1 1; 25 13 1 1; 25 15 1 1; 25 16 1 1; 25 20 1 1; 25 22 1 1; 25 25 1 1; 26 1 1 1; 26 4 1 1; 26 7 1 1; 26 10 1 1; 26 13 1 1; 26 15 1 1; 26 16 1 1; 26 19 1 1; 26 22 1 1; 26 24 1 1; 27 1 1 1; 27 3 1 1; 27 7 1 1; 27 10 1 1; 27 13 1 1; 27 15 1 1; 27 16 1 1; 27 19 1 1; 27 22 1 1; 27 24 1 1; 27 25 1 1; 28 1 1 1; 28 4 1 1; 28 7 0 1; 28 8 1 0; 28 10 1 1; 28 13 1 1; 28 15 1 1; 28 17 1 1; 28 19 1 1; 28 22 1 1; 29 4 1 1; 29 19 1 1; 30 7 1 1; 30 11 1 1; 30 16 1 1; 30 19 1 1; 30 22 1 1; 30 24 1 1; 31 2 1 1; 31 4 1 1; 31 7 1 1; 31 9 1 1; 31 13 1 1; 31 15 1 1; 31 16 1 1; 31 18 1 1; 31 22 1 1; 31 25 1 1; 32 1 1 1; 32 4 1 1; 32 7 1 1; 32 10 1 1; 32 13 1 1; 32 15 1 1; 32 16 1 1; 32 18 1 1; 32 22 1 1; 32 25 1 1; 33 1 1 1; 33 4 1 1; 33 7 1 1; 33 9 1 1; 33 13 1 1; 33 15 1 1; 33 16 1 1; 33 18 1 1; 33 22 1 1; 33 24 1 1; 34 1 1 1; 34 7 1 1; 34 10 1 1; 34 13 1 1; 34 16 1 1; 34 22 1 1; 35 1 1 1; 35 5 1 1; 35 7 1 1; 35 11 1 1; 35 13 1 1; 35 14 1 1; 35 15 1 1; 35 16 1 1; 35 19 1 1; 35 22 1 1; 35 24 1 1; 36 1 1 1; 36 4 1 1; 36 7 0 1; 36 8 1 0; 36 9 1 1; 36 13 1 0; 36 14 0 1; 36 15 1 1; 36 16 1 1; 36 19 1 1; 36 22 1 1; 36 25 1 1; 37 1 1 1; 37 8 1 1; 37 13 1 1; 37 16 1 1; 37 22 1 1; 38 1 1 1; 38 5 1 1; 38 8 1 1; 38 11 1 1; 38 13 1 1; 38 15 1 1; 38 16 1 1; 38 20 1 1; 38 22 1 1; 38 25 1 1; 38 26 1 1; 39 1 1 1; 39 4 1 1; 39 7 1 1; 39 10 1 1; 39 13 1 1; 39 15 1 1; 39 16 1 1; 39 18 1 1; 39 23 1 1; 39 25 1 1; 40 1 1 1; 40 5 1 1; 40 7 1 1; 40 11 1 1; 40 13 1 1; 40 15 1 1; 40 16 1 1; 40 20 1 1; 40 22 1 1; 40 25 1 1; 41 1 1 1; 41 6 1 1; 41 7 1 1; 41 11 1 1; 41 13 1 1; 41 15 1 1; 41 16 1 1; 41 20 1 1; 41 22 1 1; 41 24 1 1; 41 26 1 1; 42 1 1 1; 42 7 1 1; 42 13 1 1; 42 16 1 1; 42 22 1 1; 43 1 1 1; 43 3 1 1; 43 7 1 1; 43 13 1 1; 43 16 1 1; 43 22 1 1; 43 24 0 1; 43 25 1 0]\n",
      "\n",
      "Driver disponible pour une conduite à l'horaire 1 les semaines pairs :\n",
      "[3, 8, 9, 11, 13, 14, 16, 17, 21, 22, 23, 26, 28]\n",
      "Driver disponible pour une conduite à l'horaire 1 les semaines impairs :\n",
      "[3, 8, 9, 11, 13, 14, 16, 17, 21, 22, 23, 26, 28]\n",
      "Driver disponible pour une conduite à l'horaire 2 les semaines pairs :\n",
      "[2, 6]\n",
      "Driver disponible pour une conduite à l'horaire 2 les semaines impairs :\n",
      "[2, 6]\n",
      "Driver disponible pour une conduite à l'horaire 3 les semaines pairs :\n",
      "[10, 19]\n",
      "Driver disponible pour une conduite à l'horaire 3 les semaines impairs :\n",
      "[10, 19]\n",
      "Driver disponible pour une conduite à l'horaire 4 les semaines pairs :\n",
      "[4, 9, 14, 29]\n",
      "Driver disponible pour une conduite à l'horaire 4 les semaines impairs :\n",
      "[4, 9, 14, 29]\n",
      "Driver disponible pour une conduite à l'horaire 5 les semaines pairs :\n",
      "[5, 18, 21, 25]\n",
      "Driver disponible pour une conduite à l'horaire 5 les semaines impairs :\n",
      "[5, 18, 21, 25]\n",
      "Driver disponible pour une conduite à l'horaire 6 les semaines pairs :\n",
      "[28]\n",
      "Driver disponible pour une conduite à l'horaire 6 les semaines impairs :\n",
      "[28]\n",
      "Driver disponible pour une conduite à l'horaire 7 les semaines pairs :\n",
      "[4, 5, 6, 7, 8, 13, 14, 16, 19, 20, 21, 22, 23, 24, 27, 28, 29]\n",
      "Driver disponible pour une conduite à l'horaire 7 les semaines impairs :\n",
      "[4, 5, 6, 7, 8, 13, 14, 16, 19, 20, 21, 22, 23, 24, 27, 28, 29]\n",
      "Driver disponible pour une conduite à l'horaire 8 les semaines pairs :\n",
      "[14, 15, 23]\n",
      "Driver disponible pour une conduite à l'horaire 8 les semaines impairs :\n",
      "[14, 15, 23]\n",
      "Driver disponible pour une conduite à l'horaire 9 les semaines pairs :\n",
      "[4, 19]\n",
      "Driver disponible pour une conduite à l'horaire 9 les semaines impairs :\n",
      "[4, 19]\n",
      "Driver disponible pour une conduite à l'horaire 10 les semaines pairs :\n",
      "[14, 24]\n",
      "Driver disponible pour une conduite à l'horaire 10 les semaines impairs :\n",
      "[14, 24]\n",
      "Driver disponible pour une conduite à l'horaire 11 les semaines pairs :\n",
      "[7, 25]\n",
      "Driver disponible pour une conduite à l'horaire 11 les semaines impairs :\n",
      "[7, 25]\n",
      "Driver disponible pour une conduite à l'horaire 12 les semaines pairs :\n",
      "Int64[]\n",
      "Driver disponible pour une conduite à l'horaire 12 les semaines impairs :\n",
      "Int64[]\n",
      "Driver disponible pour une conduite à l'horaire 13 les semaines pairs :\n",
      "[1, 2, 6, 8, 9, 11, 13, 15, 16, 17, 21, 22, 24, 27]\n",
      "Driver disponible pour une conduite à l'horaire 13 les semaines impairs :\n",
      "[1, 2, 6, 8, 9, 11, 13, 15, 16, 17, 21, 22, 24, 27]\n",
      "Driver disponible pour une conduite à l'horaire 14 les semaines pairs :\n",
      "[2, 4, 21]\n",
      "Driver disponible pour une conduite à l'horaire 14 les semaines impairs :\n",
      "[2, 4, 21]\n",
      "Driver disponible pour une conduite à l'horaire 15 les semaines pairs :\n",
      "[5, 17, 23, 25, 26, 29]\n",
      "Driver disponible pour une conduite à l'horaire 15 les semaines impairs :\n",
      "[5, 17, 23, 25, 26, 29]\n",
      "Driver disponible pour une conduite à l'horaire 16 les semaines pairs :\n",
      "[1, 5, 6, 7, 8, 9, 12, 13, 15, 16, 18, 19, 20, 21, 23, 24, 26, 27, 29]\n",
      "Driver disponible pour une conduite à l'horaire 16 les semaines impairs :\n",
      "[1, 5, 6, 7, 8, 9, 12, 13, 15, 16, 18, 19, 20, 21, 23, 24, 26, 27, 29]\n",
      "Driver disponible pour une conduite à l'horaire 17 les semaines pairs :\n",
      "Int64[]\n",
      "Driver disponible pour une conduite à l'horaire 17 les semaines impairs :\n",
      "Int64[]\n",
      "Driver disponible pour une conduite à l'horaire 18 les semaines pairs :\n",
      "[4, 9, 19]\n",
      "Driver disponible pour une conduite à l'horaire 18 les semaines impairs :\n",
      "[4, 9, 19]\n",
      "Driver disponible pour une conduite à l'horaire 19 les semaines pairs :\n",
      "[7, 14, 23]\n",
      "Driver disponible pour une conduite à l'horaire 19 les semaines impairs :\n",
      "[7, 14, 23]\n",
      "Driver disponible pour une conduite à l'horaire 20 les semaines pairs :\n",
      "[18, 21, 24, 25]\n",
      "Driver disponible pour une conduite à l'horaire 20 les semaines impairs :\n",
      "[18, 21, 24, 25]\n",
      "Driver disponible pour une conduite à l'horaire 21 les semaines pairs :\n",
      "Int64[]\n",
      "Driver disponible pour une conduite à l'horaire 21 les semaines impairs :\n",
      "Int64[]\n",
      "Driver disponible pour une conduite à l'horaire 22 les semaines pairs :\n",
      "[4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 21, 22, 24, 26, 28, 30]\n",
      "Driver disponible pour une conduite à l'horaire 22 les semaines impairs :\n",
      "[4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 21, 22, 24, 26, 28, 30]\n",
      "Driver disponible pour une conduite à l'horaire 23 les semaines pairs :\n",
      "[2, 21]\n",
      "Driver disponible pour une conduite à l'horaire 23 les semaines impairs :\n",
      "[2, 21]\n",
      "Driver disponible pour une conduite à l'horaire 24 les semaines pairs :\n",
      "[4, 10]\n",
      "Driver disponible pour une conduite à l'horaire 24 les semaines impairs :\n",
      "[4, 10]\n",
      "Driver disponible pour une conduite à l'horaire 25 les semaines pairs :\n",
      "[9, 10, 20, 22, 25]\n",
      "Driver disponible pour une conduite à l'horaire 25 les semaines impairs :\n",
      "[9, 10, 20, 22, 25]\n",
      "Driver disponible pour une conduite à l'horaire 26 les semaines pairs :\n",
      "[11, 24, 28]\n",
      "Driver disponible pour une conduite à l'horaire 26 les semaines impairs :\n",
      "[11, 24, 28]\n",
      "Driver disponible pour une conduite à l'horaire 27 les semaines pairs :\n",
      "Int64[]\n",
      "Driver disponible pour une conduite à l'horaire 27 les semaines impairs :\n",
      "Int64[]\n",
      "\n",
      "Passager demandant une conduite à l'horaire 1 les semaines pairs:\n",
      "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43]\n",
      "Passager demandant une conduite à l'horaire 1 les semaines impairs:\n",
      "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43]\n",
      "Passager demandant une conduite à l'horaire 2 les semaines pairs:\n",
      "[14, 16, 17, 31]\n",
      "Passager demandant une conduite à l'horaire 2 les semaines impairs:\n",
      "[14, 16, 17, 31]\n",
      "Passager demandant une conduite à l'horaire 3 les semaines pairs:\n",
      "[27, 43]\n",
      "Passager demandant une conduite à l'horaire 3 les semaines impairs:\n",
      "[27, 43]\n",
      "Passager demandant une conduite à l'horaire 4 les semaines pairs:\n",
      "[3, 12, 13, 20, 26, 28, 29, 31, 32, 33, 36, 39]\n",
      "Passager demandant une conduite à l'horaire 4 les semaines impairs:\n",
      "[3, 12, 13, 20, 26, 28, 29, 31, 32, 33, 36, 39]\n",
      "Passager demandant une conduite à l'horaire 5 les semaines pairs:\n",
      "[1, 2, 9, 11, 14, 17, 24, 25, 35, 38, 40]\n",
      "Passager demandant une conduite à l'horaire 5 les semaines impairs:\n",
      "[1, 2, 9, 11, 14, 17, 24, 25, 35, 38, 40]\n",
      "Passager demandant une conduite à l'horaire 6 les semaines pairs:\n",
      "[7, 19, 21, 41]\n",
      "Passager demandant une conduite à l'horaire 6 les semaines impairs:\n",
      "[7, 19, 21, 41]\n",
      "Passager demandant une conduite à l'horaire 7 les semaines pairs:\n",
      "[1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 26, 27, 30, 31, 32, 33, 34, 35, 39, 40, 41, 42, 43]\n",
      "Passager demandant une conduite à l'horaire 7 les semaines impairs:\n",
      "[1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 39, 40, 41, 42, 43]\n",
      "Passager demandant une conduite à l'horaire 8 les semaines pairs:\n",
      "[9, 13, 17, 19, 25, 28, 36, 37, 38]\n",
      "Passager demandant une conduite à l'horaire 8 les semaines impairs:\n",
      "[9, 17, 25, 37, 38]\n",
      "Passager demandant une conduite à l'horaire 9 les semaines pairs:\n",
      "[13, 31, 33, 36]\n",
      "Passager demandant une conduite à l'horaire 9 les semaines impairs:\n",
      "[13, 31, 33, 36]\n",
      "Passager demandant une conduite à l'horaire 10 les semaines pairs:\n",
      "[3, 19, 20, 26, 27, 28, 32, 34, 39]\n",
      "Passager demandant une conduite à l'horaire 10 les semaines impairs:\n",
      "[3, 19, 20, 26, 27, 28, 32, 34, 39]\n",
      "Passager demandant une conduite à l'horaire 11 les semaines pairs:\n",
      "[1, 2, 4, 5, 11, 24, 25, 30, 35, 38, 40, 41]\n",
      "Passager demandant une conduite à l'horaire 11 les semaines impairs:\n",
      "[1, 2, 4, 5, 11, 24, 25, 30, 35, 38, 40, 41]\n",
      "Passager demandant une conduite à l'horaire 12 les semaines pairs:\n",
      "[21]\n",
      "Passager demandant une conduite à l'horaire 12 les semaines impairs:\n",
      "[21]\n",
      "Passager demandant une conduite à l'horaire 13 les semaines pairs:\n",
      "[2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43]\n",
      "Passager demandant une conduite à l'horaire 13 les semaines impairs:\n",
      "[2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43]\n",
      "Passager demandant une conduite à l'horaire 14 les semaines pairs:\n",
      "[1, 4, 11, 14, 24, 35]\n",
      "Passager demandant une conduite à l'horaire 14 les semaines impairs:\n",
      "[1, 4, 11, 14, 24, 35, 36]\n",
      "Passager demandant une conduite à l'horaire 15 les semaines pairs:\n",
      "[1, 2, 3, 11, 13, 20, 22, 25, 26, 27, 28, 31, 32, 33, 35, 36, 38, 39, 40, 41]\n",
      "Passager demandant une conduite à l'horaire 15 les semaines impairs:\n",
      "[1, 2, 3, 11, 13, 20, 22, 25, 26, 27, 28, 31, 32, 33, 35, 36, 38, 39, 40, 41]\n",
      "Passager demandant une conduite à l'horaire 16 les semaines pairs:\n",
      "[1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43]\n",
      "Passager demandant une conduite à l'horaire 16 les semaines impairs:\n",
      "[1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 21, 22, 23, 24, 25, 26, 27, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43]\n",
      "Passager demandant une conduite à l'horaire 17 les semaines pairs:\n",
      "[3, 20, 28]\n",
      "Passager demandant une conduite à l'horaire 17 les semaines impairs:\n",
      "[3, 19, 20, 28]\n",
      "Passager demandant une conduite à l'horaire 18 les semaines pairs:\n",
      "[15, 31, 32, 33, 39]\n",
      "Passager demandant une conduite à l'horaire 18 les semaines impairs:\n",
      "[15, 31, 32, 33, 39]\n",
      "Passager demandant une conduite à l'horaire 19 les semaines pairs:\n",
      "[3, 12, 13, 23, 26, 27, 28, 29, 30, 35, 36]\n",
      "Passager demandant une conduite à l'horaire 19 les semaines impairs:\n",
      "[3, 12, 13, 23, 26, 27, 28, 29, 30, 35, 36]\n",
      "Passager demandant une conduite à l'horaire 20 les semaines pairs:\n",
      "[1, 2, 11, 17, 21, 24, 25, 38, 40, 41]\n",
      "Passager demandant une conduite à l'horaire 20 les semaines impairs:\n",
      "[1, 2, 11, 17, 21, 24, 25, 38, 40, 41]\n",
      "Passager demandant une conduite à l'horaire 21 les semaines pairs:\n",
      "[14]\n",
      "Passager demandant une conduite à l'horaire 21 les semaines impairs:\n",
      "[14]\n",
      "Passager demandant une conduite à l'horaire 22 les semaines pairs:\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43]\n",
      "Passager demandant une conduite à l'horaire 22 les semaines impairs:\n",
      "[1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43]\n",
      "Passager demandant une conduite à l'horaire 23 les semaines pairs:\n",
      "[22, 39]\n",
      "Passager demandant une conduite à l'horaire 23 les semaines impairs:\n",
      "[22, 39]\n",
      "Passager demandant une conduite à l'horaire 24 les semaines pairs:\n",
      "[15, 26, 27, 30, 33, 35, 41]\n",
      "Passager demandant une conduite à l'horaire 24 les semaines impairs:\n",
      "[15, 26, 27, 30, 33, 35, 41, 43]\n",
      "Passager demandant une conduite à l'horaire 25 les semaines pairs:\n",
      "[2, 12, 22, 25, 27, 31, 32, 36, 38, 39, 40, 43]\n",
      "Passager demandant une conduite à l'horaire 25 les semaines impairs:\n",
      "[2, 12, 22, 25, 27, 31, 32, 36, 38, 39, 40]\n",
      "Passager demandant une conduite à l'horaire 26 les semaines pairs:\n",
      "[1, 11, 21, 38, 41]\n",
      "Passager demandant une conduite à l'horaire 26 les semaines impairs:\n",
      "[1, 11, 21, 38, 41]\n",
      "Passager demandant une conduite à l'horaire 27 les semaines pairs:\n",
      "Int64[]\n",
      "Passager demandant une conduite à l'horaire 27 les semaines impairs:\n",
      "Int64[]\n"
     ]
    }
   ],
   "source": [
    "# Déterminer le nombre d'offres\n",
    "\n",
    "N_o = sum(x -> x in [\"Oui\", \"Pair\", \"Impair\"], data_offers)\n",
    "\n",
    "# Initialiser la matrice O\n",
    "O = zeros(Int, N_o, 5)\n",
    "\n",
    "# Compteur pour les offres valides\n",
    "idx = 1\n",
    "\n",
    "# Parcourir le tableau offers\n",
    "for i in 1:size(K, 1)\n",
    "    nb_places = K[i]\n",
    "    for j in 1:size(data_offers, 2)\n",
    "        if data_offers[i, j] == \"Oui\"\n",
    "            # Stocker l'offre dans la matrice O\n",
    "            O[idx, 1] = i\n",
    "            O[idx, 2] = j\n",
    "            O[idx, 3] = 1\n",
    "            O[idx, 4] = 1\n",
    "            O[idx, 5] = nb_places\n",
    "            idx += 1\n",
    "        end\n",
    "        if data_offers[i, j] == \"Pair\"\n",
    "            # Stocker l'offre dans la matrice O\n",
    "            O[idx, 1] = i\n",
    "            O[idx, 2] = j\n",
    "            O[idx, 3] = 1\n",
    "            O[idx, 4] = 0\n",
    "            O[idx, 5] = nb_places\n",
    "            idx += 1\n",
    "        end\n",
    "        if data_offers[i, j] == \"Impair\"\n",
    "            # Stocker l'offre dans la matrice O\n",
    "            O[idx, 1] = i\n",
    "            O[idx, 2] = j\n",
    "            O[idx, 3] = 0\n",
    "            O[idx, 4] = 1\n",
    "            O[idx, 5] = nb_places\n",
    "            idx += 1\n",
    "        end\n",
    "    end\n",
    "end\n",
    "\n",
    "\n",
    "println(\"Matrice O :\")\n",
    "println(O)\n",
    "println()\n",
    "\n",
    "# Déterminer le nombre de requêtes\n",
    "\n",
    "N_r = sum(x -> x in [\"Oui\", \"Pair\", \"Impair\"], data_requests)\n",
    "\n",
    "# Initialiser la matrice R\n",
    "R = zeros(Int, N_r, 4)\n",
    "\n",
    "# Compteur pour les offres valides\n",
    "idr = 1\n",
    "\n",
    "# Parcourir le tableau offers\n",
    "for i in 1:size(data_requests, 1)\n",
    "    for j in 1:size(data_requests, 2)\n",
    "        if data_requests[i, j] == \"Oui\"\n",
    "            # Stocker l'offre dans la matrice R\n",
    "            R[idr, 1] = i\n",
    "            R[idr, 2] = j\n",
    "            R[idr, 3] = 1\n",
    "            R[idr, 4] = 1\n",
    "            idr += 1\n",
    "        end\n",
    "        if data_requests[i, j] == \"Pair\"\n",
    "            # Stocker l'offre dans la matrice R\n",
    "            R[idr, 1] = i\n",
    "            R[idr, 2] = j\n",
    "            R[idr, 3] = 1\n",
    "            R[idr, 4] = 0\n",
    "            idr += 1\n",
    "        end\n",
    "        if data_requests[i, j] == \"Impair\"\n",
    "            # Stocker l'offre dans la matrice R\n",
    "            R[idr, 1] = i\n",
    "            R[idr, 2] = j\n",
    "            R[idr, 3] = 0\n",
    "            R[idr, 4] = 1\n",
    "            idr += 1\n",
    "        end\n",
    "    end\n",
    "end\n",
    "\n",
    "println(\"Matrice R :\")\n",
    "println(R)\n",
    "\n",
    "#Afficher les drivers et les passagers\n",
    "println()\n",
    "# Parcourir tous les jours et toutes les heures\n",
    "\n",
    "for t in 1:T\n",
    "    # Trouver les conducteurs disponibles à l'heure et les semaines pairs\n",
    "    available_drivers_pairs = unique(O[(O[:, 2] .== t) .& (O[:,3] .== 1), 1])\n",
    "    # Trouver les conducteurs disponibles à l'heure et les semaines imapirs\n",
    "    available_drivers_impairs = unique(O[(O[:, 2] .== t) .& (O[:,4] .== 1), 1])\n",
    "\n",
    "    # Afficher les conducteurs disponibles à l'heure et les semaines pairs\n",
    "    println(\"Driver disponible pour une conduite à l'horaire $t les semaines pairs :\")\n",
    "    println(available_drivers_pairs)\n",
    "    \n",
    "    # Afficher les conducteurs disponibles à l'heure et les semaines impairs\n",
    "    println(\"Driver disponible pour une conduite à l'horaire $t les semaines impairs :\")\n",
    "    println(available_drivers_impairs)\n",
    "end\n",
    "\n",
    "println()\n",
    "\n",
    "for t in 1:T\n",
    "    # Trouver les conducteurs disponibles à l'heure t et les semaines pairs\n",
    "    available_passagers_pairs = unique(R[(R[:, 2] .== t) .& (R[:, 3] .== 1), 1])\n",
    "    # Trouver les conducteurs disponibles à l'heure t et les semaines impairs\n",
    "    available_passagers_impairs = unique(R[(R[:, 2] .== t) .& (R[:, 4] .== 1), 1])\n",
    "\n",
    "    # Afficher les conducteurs disponibles à l'heure et au jour donné les semaines pairs\n",
    "    println(\"Passager demandant une conduite à l'horaire $t les semaines pairs:\")\n",
    "    println(available_passagers_pairs)\n",
    "    \n",
    "    # Afficher les conducteurs disponibles à l'heure et au jour donné les semaines impairs\n",
    "    println(\"Passager demandant une conduite à l'horaire $t les semaines impairs:\")\n",
    "    println(available_passagers_impairs)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Variable A :\n",
      "[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0; 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0; 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 0 0 0; 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0; 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 0 1 0 0; 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0; 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0; 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0; 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0; 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0; 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0; 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0; 1 0 0 0 1 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0; 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0; 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 0 1 0 0 0 1 0; 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0; 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0; 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0; 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0; 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0; 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0;;; 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0; 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0; 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 0 0 0; 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0; 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 0 1 0 0; 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0; 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0; 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0; 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0; 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0; 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0; 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0; 1 0 0 0 1 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0; 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0; 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 0 1 0 0 0 1 0; 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0; 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0; 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0; 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0; 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0; 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0]\n",
      "Variable B :\n",
      "[1 0 0 0 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 0; 1 0 0 0 1 0 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0 1 0 0; 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 0 1 0 0 1 0 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0; 1 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 0; 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0; 1 0 0 1 0 0 0 1 1 0 0 0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0; 0 1 0 0 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0; 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 0 1 0 0 1 0 1 1 0 0 0 0 1 0 0 1 0 0 0 1 0 1 0 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 0 1 0 1 0 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 0 1 1 0 0 0 0 1 1 0 0 1 0 0 0 1 0 1 0 0 0 1 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 1 0 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0; 1 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0; 1 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0 1 0 0; 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1 0 0 0; 1 0 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1 1 0 0; 1 0 0 1 0 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 0 1 0 0 0 0 0; 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0; 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0; 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 0 0; 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 0 0; 1 0 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 0 0 0; 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 0 0 1 0 0 1 0 1 0 0 0; 1 0 0 1 0 0 0 1 1 0 0 0 1 0 1 1 0 0 1 0 0 1 0 0 1 0 0; 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0 1 1 0; 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 0 0; 1 0 0 0 1 0 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0 1 0 0; 1 0 0 0 0 1 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1 0 1 0 1 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0;;; 1 0 0 0 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 0; 1 0 0 0 1 0 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0 1 0 0; 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 0 1 0 0 1 0 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0; 1 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 0; 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0; 1 0 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0; 0 1 0 0 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0; 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 0 1 0 0 1 0 1 1 0 0 0 0 1 0 0 1 0 0 0 1 0 1 0 0 0 0 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0; 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 0 1 1 0 0 0 0 1 1 0 0 1 0 0 0 1 0 1 0 0 0 1 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 1 0 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0; 1 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0; 1 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0 1 0 0; 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1 0 0 0; 1 0 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1 1 0 0; 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 0 1 0 0 1 0 0 0 0 0; 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0; 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0; 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 0 0; 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 0 0; 1 0 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 0 0 0; 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 0 0 1 0 0 1 0 1 0 0 0; 1 0 0 1 0 0 1 0 1 0 0 0 0 1 1 1 0 0 1 0 0 1 0 0 1 0 0; 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0 1 1 0; 1 0 0 1 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 0 0; 1 0 0 0 1 0 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0 1 0 0; 1 0 0 0 0 1 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1 0 1 0 1 0; 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0; 1 0 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 1 0 0 0]\n"
     ]
    }
   ],
   "source": [
    "# initialiser A et B avec des zéros\n",
    "A = zeros(Int, C, T, 2)\n",
    "B = zeros(Int, N, T, 2)\n",
    "\n",
    "# boucle sur la matrice O et remplir A\n",
    "for i in 1:size(O, 1)\n",
    "    driver = O[i, 1]\n",
    "    time = O[i, 2]\n",
    "    if O[i, 3] == 1\n",
    "        A[driver, time, 1] = 1\n",
    "    end\n",
    "    if O[i, 4] == 1\n",
    "        A[driver, time, 2] = 1\n",
    "    end\n",
    "end\n",
    "\n",
    "# boucle sur la matrice R et remplir B\n",
    "for i in 1:size(R, 1)\n",
    "    passager = R[i, 1]\n",
    "    time = R[i, 2]\n",
    "    if R[i, 3] == 1\n",
    "        B[passager, time, 1] = 1\n",
    "    end\n",
    "    if R[i, 4] == 1\n",
    "        B[passager, time, 2] = 1\n",
    "    end\n",
    "end\n",
    "\n",
    "println(\"Variable A :\")\n",
    "println(A)\n",
    "println(\"Variable B :\")\n",
    "println(B)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[\"GUECHAY\", \"TELFRO\", \"MIPO\", \"SERROU\", \"NOMAR\", \"FRAYJOU\", \"KICHO\", \"TRULA\", \"LUPA\", \"TEVA\", \"CHIBLA\", \"TINKRYS\", \"VALMONT\", \"LONMI\", \"BISAL\", \"MEGUI\", \"DINJOUR\", \"NALI\", \"LEDROU\", \"NETI\", \"GRALE\", \"DRIMI\", \"TISMA\", \"PUSTA\", \"RINTEAU\", \"LIEBA\", \"NANCO\", \"SALA\", \"GISME\", \"BOT\"]\n",
      "\n",
      "[\"Artus GUECHAY\" \"Eloi GUECHAY\" \"missing\"; \"Aymeric TELFRO\" \"missing\" \"missing\"; \"Mayeul MIPO\" \"missing\" \"missing\"; \"Clovis SERROU\" \"missing\" \"missing\"; \"Louis NOMAR\" \"Victor NOMAR\" \"missing\"; \"Juliette FRAYJOU\" \"missing\" \"missing\"; \"Nicolas KICHO\" \"missing\" \"missing\"; \"Louis TRULA\" \"Paul TRULA\" \"missing\"; \"Basile LUPA\" \"Valentine LUPA\" \"missing\"; \"Wandrille TEVA\" \"missing\" \"missing\"; \"Arthur CHIBLA\" \"Corentin CHIBLA\" \"missing\"; \"Louis TINKRYS\" \"missing\" \"missing\"; \"Malo VALMONT\" \"missing\" \"missing\"; \"Clémence LONMI\" \"missing\" \"missing\"; \"François BISAL\" \"missing\" \"missing\"; \"Germain MEGUI\" \"Madeleine MEGUI\" \"missing\"; \"Mateo DINJOUR\" \"missing\" \"missing\"; \"Théophile NALI \" \"missing\" \"missing\"; \"Ambroise LEDROU\" \"missing\" \"missing\"; \"Marie NETI\" \"missing\" \"missing\"; \"Apolline GRALE\" \"Claire GRALE\" \"Emma GRALE\"; \"Apolline DRIMI\" \"Léandre DRIMI\" \"missing\"; \"Alya TISMA\" \"missing\" \"missing\"; \"Aramis PUSTA\" \"Taissia PUSTA\" \"missing\"; \"Solveig RINTEAU\" \"Soren RINTEAU\" \"missing\"; \"Victor LIEBA\" \"missing\" \"missing\"; \"Victor NANCO\" \"Amaury NANCO\" \"missing\"; \"Pablo SALA\" \"Zoe SALA\" \"missing\"; \"Christelle GISME\" \"missing\" \"missing\"; \"Antoine BOT\" \"missing\" \"missing\"]\n",
      "\n",
      "[\"Victor LIEBA\", \"Louis NOMAR\", \"Victor NOMAR\", \"Arthur CHIBLA\", \"Corentin CHIBLA\", \"Artus GUECHAY\", \"Eloi GUECHAY\", \"Louis TINKRYS\", \"François BISAL\", \"Malo VALMONT\", \"Ambroise LEDROU\", \"Marie NETI\", \"Mateo DINJOUR\", \"Aymeric TELFRO\", \"Germain MEGUI\", \"Madeleine MEGUI\", \"Juliette FRAYJOU\", \"Louis TRULA\", \"Paul TRULA\", \"Pablo SALA\", \"Zoe SALA\", \"Apolline GRALE\", \"Claire GRALE\", \"Emma GRALE\", \"Théophile NALI \", \"Apolline DRIMI\", \"Léandre DRIMI\", \"Clémence LONMI\", \"Victor NEMO\", \"Nicolas KICHO\", \"Christelle GISME\", \"Basile LUPA\", \"Valentine LUPA\", \"Mayeul MIPO\", \"Clovis SERROU\", \"Alya TISMA\", \"Antoine BOT\", \"Aramis PUSTA\", \"Taissia PUSTA\", \"Solveig RINTEAU\", \"Soren RINTEAU\", \"Victor NANCO\", \"Wandrille TEVA\"]\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
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     ]
    }
   ],
   "source": [
    "println(name_offers)\n",
    "println()\n",
    "println(child_offers)\n",
    "println()\n",
    "println(name_requests)\n",
    "println()\n",
    "\n",
    "M = zeros(Float64, N, C, T, 2)\n",
    "\n",
    "Beta = 7\n",
    "\n",
    "for parent in 1:size(name_offers,1)\n",
    "    for child in 1:size(name_requests,1)\n",
    "        if name_requests[child] == child_offers[parent]\n",
    "            for t in 1:T\n",
    "                for w in 1:2\n",
    "                    M[child, parent, t, w] = Beta\n",
    "                end\n",
    "            end\n",
    "        else\n",
    "            for t in 1:T\n",
    "                for w in 1:2\n",
    "                    M[child, parent, t, w] = 10-Beta\n",
    "                end\n",
    "            end\n",
    "        end\n",
    "    end\n",
    "end\n",
    "\n",
    "println(M)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "covoiturage (generic function with 1 method)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function covoiturage(Beta, Alpha, time)\n",
    "    \n",
    "    M = zeros(Float64, N, C, T, 2)\n",
    "    \n",
    "    for parent in 1:size(name_offers,1)\n",
    "        for child in 1:size(name_requests,1)\n",
    "            if name_requests[child] == child_offers[parent]\n",
    "                for t in 1:T\n",
    "                    for w in 1:2\n",
    "                        M[child, parent, t, w] = Beta\n",
    "                    end\n",
    "                end\n",
    "            else\n",
    "                for t in 1:T\n",
    "                    for w in 1:2\n",
    "                        M[child, parent, t, w] = 10-Beta\n",
    "                    end\n",
    "                end\n",
    "            end\n",
    "        end\n",
    "    end\n",
    "\n",
    "    # Création du modèle\n",
    "    m = Model(GLPK.Optimizer)\n",
    "\n",
    "\n",
    "    # Variables de décision\n",
    "    @variable(m, X[1:N, 1:C, 1:T, 1:2], Bin) #Cette variable binaire représente si un enfant i est affecté à une voiture j.\n",
    "    @variable(m, E[1:C, 1:T, 1:2], Bin)\n",
    "    @variable(m, G[1:C], Int)\n",
    "\n",
    "    # Contraintes\n",
    "\n",
    "    for t in 1:T\n",
    "        for w in 1:2\n",
    "            for c in 1:C\n",
    "                @constraint(m, E[c,t,w] >= 10^(-2)*sum(X[n, c, t, w] for n in 1:N))\n",
    "            end\n",
    "        end\n",
    "    end\n",
    "\n",
    "    #nombre de trajet effectué par c\n",
    "\n",
    "    for c in 1:C\n",
    "        @constraint(m, sum(E[c,t, w] for t in 1:T, w in 1:2) == G[c] )\n",
    "    end\n",
    "\n",
    "    #nombre de trajet\n",
    "\n",
    "    for n in 1:N\n",
    "        @constraint(m, sum(X[n, c, t, w] for c in 1:C, t in 1:T, w in 1:2 ) <= count_passager[n,2])\n",
    "    end\n",
    "\n",
    "    # La capacité maximale de chaque voiture doit être respectée.\n",
    "\n",
    "    for t in 1:T\n",
    "        for c in 1:C\n",
    "            for w in 1:2\n",
    "                @constraint(m, sum(X[n, c, t, w] for n in 1:N) <= K[c])\n",
    "            end\n",
    "        end\n",
    "    end\n",
    "\n",
    "\n",
    "    # Un enfant ne peut être transporté que dans une seule voiture.\n",
    "\n",
    "    for t in 1:T\n",
    "        for n in 1:N\n",
    "            for w in 1:2\n",
    "                @constraint(m, sum(X[n, c, t, w]*A[c, t, w]*B[n, t, w] for c in 1:C) <= 1)\n",
    "            end\n",
    "        end\n",
    "    end\n",
    "\n",
    "\n",
    "    for t in 1:T\n",
    "        for c in 1:C\n",
    "            for w in 1:2\n",
    "                if A[c, t, w] == 0\n",
    "                    @constraint(m, sum(X[n, c, t, w] for n in 1:N) == 0)\n",
    "                end\n",
    "            end\n",
    "        end\n",
    "    end\n",
    "\n",
    "\n",
    "\n",
    "    for t in 1:T\n",
    "        for n in 1:N\n",
    "            for w in 1:2\n",
    "                if B[n, t, w] == 0\n",
    "                     @constraint(m, sum(X[n, c, t, w] for c in 1:C) == 0)\n",
    "                end\n",
    "            end\n",
    "        end\n",
    "    end\n",
    "\n",
    "\n",
    "    # Fonction objectif\n",
    "    \n",
    "    @objective(m, Max, sum(X .* M) - Alpha*sum(G))\n",
    " \n",
    "    \n",
    "\n",
    "    # Résolution du problème\n",
    "    MOI.set(m, MOI.TimeLimitSec(), time)\n",
    "    \n",
    "    optimize!(m)\n",
    "    \n",
    "    status = termination_status(m)\n",
    "\n",
    "    if status == MOI.OPTIMAL\n",
    "        # Parfait !\n",
    "        println(\"Solution optimale trouvée:\")\n",
    "        # Récupérez et affichez la solution ici (par exemple, en utilisant la fonction value() pour les variables)\n",
    "    elseif status == MOI.INFEASIBLE\n",
    "        # Il n'existe aucune solution\n",
    "        println(\"Il n'existe aucune solution :'(\")\n",
    "    elseif status == MOI.TIME_LIMIT && primal_status(m) == MOI.FEASIBLE_POINT\n",
    "        # Solution réalisable trouvée, mais pas nécessairement optimale\n",
    "        println(\"Solution réalisable trouvée dans la limite de temps:\")\n",
    "        # Récupérez et affichez la solution ici\n",
    "    else\n",
    "        # Voir la documentation\n",
    "        println(\"Voir la documentation\")\n",
    "    end\n",
    "\n",
    "    ########################################################################################################################\n",
    "    #Compter le nombre de requête satisfaite\n",
    "    ########################################################################################################################\n",
    "    \n",
    "    nb_request_done = 0\n",
    "    \n",
    "    for w in 1:2\n",
    "        for t in 1:T\n",
    "            for c in 1:C\n",
    "                for n in 1:N\n",
    "                    if value(X[n,c,t,w]) == 1\n",
    "                        nb_request_done += 1\n",
    "                    end\n",
    "                end\n",
    "            end\n",
    "        end\n",
    "    end\n",
    "    \n",
    "    pourcent_request = nb_request_done/nb_request*100\n",
    "    \n",
    "    println()\n",
    "    println(\"Le nombre de demande de conduite faite par les enfants est : \", nb_request)\n",
    "    println(\"Le nombre de demande de conduite satisfaite est : \", nb_request_done)\n",
    "    println(\"Le pourcentage de demande satistaite est : \", pourcent_request , \"%\")\n",
    "    println()\n",
    "    \n",
    "    ########################################################################################################################\n",
    "    #Compter le taux de remplissage des voitures\n",
    "    ########################################################################################################################\n",
    "    \n",
    "    nb_place_dispo = 0\n",
    "    for w in 1:2\n",
    "        for t in 1:T\n",
    "            for c in 1:C\n",
    "                res = 0\n",
    "                for n in 1:N\n",
    "                    if value(X[n,c,t,w]) == 1\n",
    "                        res += 1\n",
    "                    end\n",
    "                    \n",
    "                end\n",
    "                if res >= 1\n",
    "                    nb_place_dispo += number_places[c]\n",
    "                end\n",
    "            end\n",
    "        end\n",
    "    end\n",
    "    \n",
    "    pourcent_remplissage = nb_request_done/nb_place_dispo*100\n",
    "    \n",
    "    println(\"Nombre de place disponible après répartition : \", nb_place_dispo)\n",
    "    println(\"Le taux de remplissage des voitures est : \", pourcent_remplissage, \"%\")\n",
    "    println()\n",
    "\n",
    "    ########################################################################################################################\n",
    "    # Nombre d'enfant sans leur parent\n",
    "    ########################################################################################################################\n",
    "    \n",
    "    I=0\n",
    "    L=0\n",
    "    E=0\n",
    "    for w in 1:2\n",
    "        for t in 1:T\n",
    "            for c in 1:C\n",
    "                J=0\n",
    "                for n in 1:N\n",
    "                    L += value(X[n, c, t, w])\n",
    "                    J += value(X[n, c, t, w])\n",
    "                    if value(M[n,c,t,w]) >= 5.01 && value(X[n, c, t, w]) == 1\n",
    "                        E += 1\n",
    "                    end\n",
    "                end\n",
    "\n",
    "                if J >= 1\n",
    "                    I += 1\n",
    "                end\n",
    "            end\n",
    "        end\n",
    "    end\n",
    "    \n",
    "    println(\"Nombre d'enfants avec leur parent : \", E)\n",
    "    println()\n",
    "    \n",
    "    pourcent_family = E/I*100\n",
    "    \n",
    "    println(\"Pourcentage d'enfant dans la voiture de leur parent : \", pourcent_family, \" %\")\n",
    "    println()\n",
    "    \n",
    "    println(\"Nombre de voiture utilisée : \", I,\", Nombre d'enfant dans les voitures : \",L,\", Nombre d'enfants sans leur parent : \", E)\n",
    "    println()\n",
    "    \n",
    "    ########################################################################################################################\n",
    "    # Créer un tableau de résultat\n",
    "    ########################################################################################################################\n",
    "                    \n",
    "    W = fill(\"/////////////\", 300, T)\n",
    "\n",
    "    idx = 0\n",
    "    for i in 1:T\n",
    "        W[1, i] = horaire_requests[i]\n",
    "    end\n",
    "\n",
    "    for t in 1:T\n",
    "        h = horaire_requests[t]\n",
    "        Time = \"$h\"\n",
    "        println()\n",
    "        println(Time)\n",
    "        VAR1 = []\n",
    "        for j in 1:C\n",
    "            nb = K[j]\n",
    "            d = name_offers[j] \n",
    "            e = number_places[j]\n",
    "            f = d * \" \" * string(e) * \" places\"\n",
    "            global offer = \"\"\n",
    "            for w in 1:2\n",
    "                VAR2 = []\n",
    "                VAR3 = []\n",
    "                if w==1\n",
    "                    week = \"Semaine paire\"\n",
    "                end\n",
    "                if w==2\n",
    "                    week = \"Semaine Impaire\"\n",
    "                end\n",
    "                push!(VAR2, week)\n",
    "                push!(VAR2, f)\n",
    "                push!(VAR3, week)\n",
    "                push!(VAR3, f)\n",
    "                offer = \"$d with $nb places, week $week :\"\n",
    "\n",
    "                for i in 1:N\n",
    "                    n = name_requests[i]\n",
    "                    if value(X[i,j,t,w]) == 1\n",
    "                        offer *= \"$n, \"\n",
    "                        push!(VAR2, \"$n\")\n",
    "                    end\n",
    "                end\n",
    "                if offer != \"$d with $nb places, week $week :\"\n",
    "                    println(offer)\n",
    "                end\n",
    "                if VAR2 != VAR3\n",
    "                    len = length(VAR2)\n",
    "                    VAR1 = vcat(VAR1, VAR2)\n",
    "                    Q = 15 - len\n",
    "                    for f in 1:Q\n",
    "                        push!(VAR1, \"/\")\n",
    "                    end\n",
    "                end\n",
    "            end\n",
    "        end\n",
    "        for g in 1:size(VAR1,1)\n",
    "            W[g+1, t] = VAR1[g]\n",
    "        end\n",
    "    end\n",
    "\n",
    "    println()\n",
    "    \n",
    "    # Affichage du nombre de trajets par enfant\n",
    "    \n",
    "    # Initialisation du tableau des nombres de trajets par enfant\n",
    "    nombre_trajets_par_enfant = zeros(Int, N)\n",
    "\n",
    "    # Parcours des indices n, c, t, w\n",
    "    for n in 1:N\n",
    "        for c in 1:C\n",
    "            for t in 1:T\n",
    "                for w in 1:2\n",
    "                    # Vérification si X[n, c, t, w] est égal à 1\n",
    "                    if value(X[n, c, t, w]) == 1.0\n",
    "                        # Incrémentation du nombre de trajets pour l'enfant n\n",
    "                        nombre_trajets_par_enfant[n] += 1\n",
    "                    end\n",
    "                end\n",
    "            end\n",
    "        end\n",
    "    end\n",
    "    for n in 1:N\n",
    "        nbu = count_passager[n,2]\n",
    "        println(\"Enfant $n qui a le droit à $nbu trajets : $(nombre_trajets_par_enfant[n]) trajets\")\n",
    "    end\n",
    "\n",
    "    println(count_passager)\n",
    "\n",
    "    \n",
    "    \n",
    "    # Créer un fichier Excel avec le tableau W\n",
    "    XLSX.openxlsx(\"Repartition_Voiture.xlsx\", mode=\"w\") do xf\n",
    "    sheet = xf[1]\n",
    "    XLSX.rename!(sheet, \"new_sheet\")\n",
    "    \n",
    "    sheet[\"A1:AA300\"] = W\n",
    "    end\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solution réalisable trouvée dans la limite de temps:\n",
      "\n",
      "Le nombre de demande de conduite faite par les enfants est : 671\n",
      "Le nombre de demande de conduite satisfaite est : 600\n",
      "Le pourcentage de demande satistaite est : 89.41877794336811%\n",
      "\n",
      "Nombre de place disponible après répartition : 628\n",
      "Le taux de remplissage des voitures est : 95.54140127388536%\n",
      "\n",
      "Nombre d'enfants avec leur parent : 95\n",
      "\n",
      "Pourcentage d'enfant dans la voiture de leur parent : 81.19658119658119 %\n",
      "\n",
      "Nombre de voiture utilisée : 117, Nombre d'enfant dans les voitures : 600.0, Nombre d'enfants sans leur parent : 95\n",
      "\n",
      "\n",
      "Lundi 8h\n",
      "CHIBLA with 6 places, week Semaine paire :Arthur CHIBLA, Basile LUPA, Mayeul MIPO, Aramis PUSTA, Taissia PUSTA, Solveig RINTEAU, \n",
      "CHIBLA with 6 places, week Semaine Impaire :Arthur CHIBLA, Basile LUPA, Mayeul MIPO, Aramis PUSTA, Taissia PUSTA, Solveig RINTEAU, \n",
      "VALMONT with 8 places, week Semaine paire :Malo VALMONT, Léandre DRIMI, Valentine LUPA, Clovis SERROU, Antoine BOT, Soren RINTEAU, Victor NANCO, Wandrille TEVA, \n",
      "VALMONT with 8 places, week Semaine Impaire :Malo VALMONT, Léandre DRIMI, Valentine LUPA, Clovis SERROU, Antoine BOT, Soren RINTEAU, Victor NANCO, Wandrille TEVA, \n",
      "GRALE with 6 places, week Semaine paire :Louis TRULA, Paul TRULA, Zoe SALA, Apolline GRALE, Claire GRALE, Emma GRALE, \n",
      "GRALE with 6 places, week Semaine Impaire :Louis TRULA, Paul TRULA, Zoe SALA, Apolline GRALE, Claire GRALE, Emma GRALE, \n",
      "DRIMI with 6 places, week Semaine paire :Louis TINKRYS, François BISAL, Ambroise LEDROU, Marie NETI, Mateo DINJOUR, Apolline DRIMI, \n",
      "DRIMI with 6 places, week Semaine Impaire :Louis TINKRYS, François BISAL, Ambroise LEDROU, Marie NETI, Mateo DINJOUR, Apolline DRIMI, \n",
      "TISMA with 4 places, week Semaine paire :Corentin CHIBLA, Artus GUECHAY, Eloi GUECHAY, Alya TISMA, \n",
      "TISMA with 4 places, week Semaine Impaire :Corentin CHIBLA, Artus GUECHAY, Eloi GUECHAY, Alya TISMA, \n",
      "SALA with 4 places, week Semaine paire :Victor LIEBA, Louis NOMAR, Victor NOMAR, Pablo SALA, \n",
      "SALA with 4 places, week Semaine Impaire :Victor LIEBA, Louis NOMAR, Victor NOMAR, Pablo SALA, \n",
      "\n",
      "Lundi 9h\n",
      "FRAYJOU with 4 places, week Semaine paire :Aymeric TELFRO, Madeleine MEGUI, Juliette FRAYJOU, Christelle GISME, \n",
      "FRAYJOU with 4 places, week Semaine Impaire :Aymeric TELFRO, Madeleine MEGUI, Juliette FRAYJOU, Christelle GISME, \n",
      "\n",
      "Lundi 15h30\n",
      "TEVA with 6 places, week Semaine paire :Léandre DRIMI, Wandrille TEVA, \n",
      "TEVA with 6 places, week Semaine Impaire :Léandre DRIMI, Wandrille TEVA, \n",
      "\n",
      "Lundi 16h30\n",
      "SERROU with 4 places, week Semaine paire :Clémence LONMI, Valentine LUPA, Alya TISMA, Taissia PUSTA, \n",
      "SERROU with 4 places, week Semaine Impaire :Pablo SALA, Christelle GISME, Alya TISMA, Taissia PUSTA, \n",
      "LONMI with 4 places, week Semaine Impaire :Apolline DRIMI, Clémence LONMI, Basile LUPA, Valentine LUPA, \n",
      "GISME with 5 places, week Semaine paire :Victor NOMAR, Mateo DINJOUR, Pablo SALA, Christelle GISME, Basile LUPA, \n",
      "\n",
      "Lundi 17h30\n",
      "GRALE with 6 places, week Semaine paire :Juliette FRAYJOU, Emma GRALE, Théophile NALI , Clovis SERROU, Aramis PUSTA, Solveig RINTEAU, \n",
      "GRALE with 6 places, week Semaine Impaire :Juliette FRAYJOU, Emma GRALE, Théophile NALI , Clovis SERROU, Aramis PUSTA, Solveig RINTEAU, \n",
      "\n",
      "Lundi 18h30\n",
      "SALA with 4 places, week Semaine paire :Eloi GUECHAY, Paul TRULA, Zoe SALA, Soren RINTEAU, \n",
      "SALA with 4 places, week Semaine Impaire :Eloi GUECHAY, Paul TRULA, Zoe SALA, Soren RINTEAU, \n",
      "\n",
      "Mardi 8h\n",
      "TRULA with 6 places, week Semaine paire :Louis TRULA, Christelle GISME, Basile LUPA, Valentine LUPA, Clovis SERROU, Victor NANCO, \n",
      "TRULA with 6 places, week Semaine Impaire :Louis TRULA, Emma GRALE, Basile LUPA, Mayeul MIPO, Clovis SERROU, Solveig RINTEAU, \n",
      "VALMONT with 8 places, week Semaine paire :Malo VALMONT, Léandre DRIMI, Nicolas KICHO, Mayeul MIPO, Taissia PUSTA, Solveig RINTEAU, Soren RINTEAU, Wandrille TEVA, \n",
      "VALMONT with 8 places, week Semaine Impaire :Malo VALMONT, Zoe SALA, Claire GRALE, Clémence LONMI, Nicolas KICHO, Christelle GISME, Taissia PUSTA, Soren RINTEAU, \n",
      "GRALE with 6 places, week Semaine paire :Arthur CHIBLA, Eloi GUECHAY, Zoe SALA, Apolline GRALE, Claire GRALE, Emma GRALE, \n",
      "GRALE with 6 places, week Semaine Impaire :Corentin CHIBLA, Louis TINKRYS, Ambroise LEDROU, Mateo DINJOUR, Apolline GRALE, \n",
      "DRIMI with 6 places, week Semaine paire :Corentin CHIBLA, Artus GUECHAY, Louis TINKRYS, Ambroise LEDROU, Marie NETI, Apolline DRIMI, \n",
      "DRIMI with 6 places, week Semaine Impaire :Victor NOMAR, Artus GUECHAY, Eloi GUECHAY, Marie NETI, Madeleine MEGUI, Apolline DRIMI, \n",
      "TISMA with 4 places, week Semaine Impaire :Valentine LUPA, Alya TISMA, Victor NANCO, Wandrille TEVA, \n",
      "PUSTA with 4 places, week Semaine paire :Aymeric TELFRO, Germain MEGUI, Madeleine MEGUI, Juliette FRAYJOU, \n",
      "PUSTA with 4 places, week Semaine Impaire :Victor LIEBA, Louis NOMAR, Arthur CHIBLA, Aymeric TELFRO, \n",
      "SALA with 4 places, week Semaine paire :Victor LIEBA, Louis NOMAR, Victor NOMAR, Pablo SALA, \n",
      "SALA with 4 places, week Semaine Impaire :Germain MEGUI, Juliette FRAYJOU, Pablo SALA, Léandre DRIMI, \n",
      "\n",
      "Mardi 9h\n",
      "BISAL with 6 places, week Semaine paire :François BISAL, Mateo DINJOUR, Théophile NALI , Antoine BOT, Aramis PUSTA, \n",
      "BISAL with 6 places, week Semaine Impaire :François BISAL, Juliette FRAYJOU, Théophile NALI , Antoine BOT, Aramis PUSTA, \n",
      "TISMA with 4 places, week Semaine paire :Juliette FRAYJOU, Paul TRULA, Clémence LONMI, Alya TISMA, \n",
      "\n",
      "Mardi 15h30\n",
      "LEDROU with 5 places, week Semaine paire :Mateo DINJOUR, Christelle GISME, Valentine LUPA, Alya TISMA, \n",
      "LEDROU with 5 places, week Semaine Impaire :Mateo DINJOUR, Christelle GISME, Valentine LUPA, Alya TISMA, \n",
      "\n",
      "Mardi 16h30\n",
      "LONMI with 4 places, week Semaine paire :Paul TRULA, Pablo SALA, Apolline DRIMI, Clémence LONMI, \n",
      "LONMI with 4 places, week Semaine Impaire :Paul TRULA, Pablo SALA, Apolline DRIMI, Clémence LONMI, \n",
      "PUSTA with 4 places, week Semaine paire :Victor NOMAR, Léandre DRIMI, Basile LUPA, Mayeul MIPO, \n",
      "PUSTA with 4 places, week Semaine Impaire :Victor NOMAR, Léandre DRIMI, Basile LUPA, Mayeul MIPO, \n",
      "\n",
      "Mardi 17h30\n",
      "KICHO with 6 places, week Semaine paire :Victor LIEBA, Louis NOMAR, Arthur CHIBLA, Corentin CHIBLA, Ambroise LEDROU, Nicolas KICHO, \n",
      "KICHO with 6 places, week Semaine Impaire :Victor LIEBA, Louis NOMAR, Arthur CHIBLA, Corentin CHIBLA, Ambroise LEDROU, Nicolas KICHO, \n",
      "RINTEAU with 6 places, week Semaine paire :Emma GRALE, Théophile NALI , Clovis SERROU, Aramis PUSTA, Solveig RINTEAU, Soren RINTEAU, \n",
      "RINTEAU with 6 places, week Semaine Impaire :Emma GRALE, Théophile NALI , Clovis SERROU, Aramis PUSTA, Solveig RINTEAU, Soren RINTEAU, \n",
      "\n",
      "Mardi 18h30\n",
      "\n",
      "Mercredi 8h\n",
      "CHIBLA with 6 places, week Semaine paire :Arthur CHIBLA, Léandre DRIMI, Clémence LONMI, Christelle GISME, Basile LUPA, Valentine LUPA, \n",
      "CHIBLA with 6 places, week Semaine Impaire :Arthur CHIBLA, Basile LUPA, Valentine LUPA, Mayeul MIPO, Taissia PUSTA, Solveig RINTEAU, \n",
      "VALMONT with 8 places, week Semaine paire :Malo VALMONT, Théophile NALI , Mayeul MIPO, Clovis SERROU, Alya TISMA, Antoine BOT, Taissia PUSTA, Victor NANCO, \n",
      "VALMONT with 8 places, week Semaine Impaire :Malo VALMONT, Clémence LONMI, Christelle GISME, Clovis SERROU, Antoine BOT, Soren RINTEAU, Victor NANCO, Wandrille TEVA, \n",
      "BISAL with 6 places, week Semaine paire :François BISAL, Zoe SALA, Claire GRALE, Solveig RINTEAU, Soren RINTEAU, Wandrille TEVA, \n",
      "BISAL with 6 places, week Semaine Impaire :François BISAL, Pablo SALA, Zoe SALA, Claire GRALE, Théophile NALI , Léandre DRIMI, \n",
      "GRALE with 6 places, week Semaine paire :Germain MEGUI, Madeleine MEGUI, Juliette FRAYJOU, Louis TRULA, Paul TRULA, Apolline GRALE, \n",
      "GRALE with 6 places, week Semaine Impaire :Germain MEGUI, Madeleine MEGUI, Juliette FRAYJOU, Louis TRULA, Paul TRULA, Apolline GRALE, \n",
      "DRIMI with 6 places, week Semaine paire :Artus GUECHAY, Eloi GUECHAY, Louis TINKRYS, Marie NETI, Mateo DINJOUR, Apolline DRIMI, \n",
      "DRIMI with 6 places, week Semaine Impaire :Artus GUECHAY, Eloi GUECHAY, Louis TINKRYS, Marie NETI, Mateo DINJOUR, Apolline DRIMI, \n",
      "PUSTA with 4 places, week Semaine paire :Louis NOMAR, Victor NOMAR, Corentin CHIBLA, Aramis PUSTA, \n",
      "PUSTA with 4 places, week Semaine Impaire :Louis NOMAR, Victor NOMAR, Corentin CHIBLA, Aramis PUSTA, \n",
      "\n",
      "Mercredi 9h\n",
      "GRALE with 6 places, week Semaine Impaire :Victor LIEBA, Ambroise LEDROU, Aymeric TELFRO, Emma GRALE, Clovis SERROU, Alya TISMA, \n",
      "\n",
      "Mercredi 12h30\n",
      "NOMAR with 4 places, week Semaine Impaire :Louis NOMAR, Aramis PUSTA, Taissia PUSTA, Soren RINTEAU, \n",
      "DINJOUR with 4 places, week Semaine Impaire :Mateo DINJOUR, Apolline DRIMI, Valentine LUPA, Clovis SERROU, \n",
      "TISMA with 4 places, week Semaine paire :Apolline GRALE, Théophile NALI , Apolline DRIMI, Alya TISMA, \n",
      "TISMA with 4 places, week Semaine Impaire :Victor LIEBA, Victor NOMAR, Clémence LONMI, Alya TISMA, \n",
      "RINTEAU with 6 places, week Semaine paire :Pablo SALA, Léandre DRIMI, Clémence LONMI, Basile LUPA, Solveig RINTEAU, Soren RINTEAU, \n",
      "RINTEAU with 6 places, week Semaine Impaire :Pablo SALA, Théophile NALI , Léandre DRIMI, Christelle GISME, Basile LUPA, Solveig RINTEAU, \n",
      "LIEBA with 5 places, week Semaine paire :Victor LIEBA, Valentine LUPA, Clovis SERROU, Aramis PUSTA, Taissia PUSTA, \n",
      "GISME with 5 places, week Semaine paire :Louis NOMAR, Victor NOMAR, Ambroise LEDROU, Mateo DINJOUR, Christelle GISME, \n",
      "\n",
      "Jeudi 8h\n",
      "TRULA with 6 places, week Semaine paire :Mateo DINJOUR, Louis TRULA, Alya TISMA, Taissia PUSTA, Solveig RINTEAU, Soren RINTEAU, \n",
      "VALMONT with 8 places, week Semaine paire :Louis NOMAR, Malo VALMONT, Nicolas KICHO, Christelle GISME, Basile LUPA, Valentine LUPA, Clovis SERROU, Antoine BOT, \n",
      "VALMONT with 8 places, week Semaine Impaire :Malo VALMONT, Emma GRALE, Apolline DRIMI, Nicolas KICHO, Basile LUPA, Valentine LUPA, Antoine BOT, Solveig RINTEAU, \n",
      "BISAL with 6 places, week Semaine paire :François BISAL, Zoe SALA, Claire GRALE, Emma GRALE, Apolline DRIMI, Léandre DRIMI, \n",
      "NALI with 6 places, week Semaine paire :Aymeric TELFRO, Germain MEGUI, Madeleine MEGUI, Juliette FRAYJOU, Paul TRULA, Théophile NALI , \n",
      "NALI with 6 places, week Semaine Impaire :Madeleine MEGUI, Juliette FRAYJOU, Zoe SALA, Claire GRALE, Théophile NALI , Alya TISMA, \n",
      "GRALE with 6 places, week Semaine paire :Artus GUECHAY, Eloi GUECHAY, Louis TINKRYS, Ambroise LEDROU, Marie NETI, Apolline GRALE, \n",
      "GRALE with 6 places, week Semaine Impaire :Ambroise LEDROU, Marie NETI, Mateo DINJOUR, Aymeric TELFRO, Germain MEGUI, Apolline GRALE, \n",
      "PUSTA with 4 places, week Semaine paire :Mayeul MIPO, Aramis PUSTA, Victor NANCO, Wandrille TEVA, \n",
      "PUSTA with 4 places, week Semaine Impaire :Artus GUECHAY, Louis TINKRYS, François BISAL, Aramis PUSTA, \n",
      "NANCO with 6 places, week Semaine Impaire :Léandre DRIMI, Mayeul MIPO, Clovis SERROU, Soren RINTEAU, Victor NANCO, Wandrille TEVA, \n",
      "GISME with 5 places, week Semaine Impaire :Victor LIEBA, Louis NOMAR, Arthur CHIBLA, Christelle GISME, Taissia PUSTA, \n",
      "\n",
      "Jeudi 9h\n",
      "\n",
      "Jeudi 15h30\n",
      "SERROU with 4 places, week Semaine paire :Germain MEGUI, Basile LUPA, Valentine LUPA, Taissia PUSTA, \n",
      "LEDROU with 5 places, week Semaine Impaire :Germain MEGUI, Christelle GISME, Basile LUPA, Valentine LUPA, Taissia PUSTA, \n",
      "\n",
      "Jeudi 16h30\n",
      "LONMI with 4 places, week Semaine paire :Claire GRALE, Apolline DRIMI, Clémence LONMI, Nicolas KICHO, \n",
      "LONMI with 4 places, week Semaine Impaire :Claire GRALE, Apolline DRIMI, Clémence LONMI, Nicolas KICHO, \n",
      "TISMA with 4 places, week Semaine paire :Victor NOMAR, Léandre DRIMI, Clovis SERROU, Alya TISMA, \n",
      "TISMA with 4 places, week Semaine Impaire :Victor NOMAR, Léandre DRIMI, Clovis SERROU, Alya TISMA, \n",
      "\n",
      "Jeudi 17h30\n",
      "GRALE with 6 places, week Semaine paire :Victor LIEBA, Ambroise LEDROU, Aramis PUSTA, Soren RINTEAU, \n",
      "GRALE with 6 places, week Semaine Impaire :Victor LIEBA, Ambroise LEDROU, Aramis PUSTA, Soren RINTEAU, \n",
      "RINTEAU with 6 places, week Semaine paire :Louis NOMAR, Juliette FRAYJOU, Zoe SALA, Emma GRALE, Théophile NALI , Solveig RINTEAU, \n",
      "RINTEAU with 6 places, week Semaine Impaire :Louis NOMAR, Juliette FRAYJOU, Zoe SALA, Emma GRALE, Théophile NALI , Solveig RINTEAU, \n",
      "\n",
      "Jeudi 18h30\n",
      "\n",
      "Vendredi 8h\n",
      "CHIBLA with 6 places, week Semaine paire :Arthur CHIBLA, Germain MEGUI, Théophile NALI , Alya TISMA, Solveig RINTEAU, Soren RINTEAU, \n",
      "TINKRYS with 6 places, week Semaine paire :Louis TINKRYS, Clémence LONMI, Nicolas KICHO, Basile LUPA, Valentine LUPA, Clovis SERROU, \n",
      "VALMONT with 8 places, week Semaine paire :Malo VALMONT, Aymeric TELFRO, Louis TRULA, Paul TRULA, Zoe SALA, Claire GRALE, Emma GRALE, Christelle GISME, \n",
      "VALMONT with 8 places, week Semaine Impaire :Malo VALMONT, Juliette FRAYJOU, Louis TRULA, Emma GRALE, Clémence LONMI, Nicolas KICHO, Basile LUPA, Clovis SERROU, \n",
      "MEGUI with 4 places, week Semaine Impaire :Germain MEGUI, Théophile NALI , Léandre DRIMI, Wandrille TEVA, \n",
      "DINJOUR with 4 places, week Semaine Impaire :Mateo DINJOUR, Christelle GISME, Mayeul MIPO, Alya TISMA, \n",
      "DRIMI with 6 places, week Semaine paire :Victor LIEBA, François BISAL, Ambroise LEDROU, Marie NETI, Mateo DINJOUR, Apolline DRIMI, \n",
      "DRIMI with 6 places, week Semaine Impaire :Eloi GUECHAY, Louis TINKRYS, François BISAL, Marie NETI, Apolline DRIMI, Aramis PUSTA, \n",
      "PUSTA with 4 places, week Semaine paire :Louis NOMAR, Victor NOMAR, Eloi GUECHAY, Aramis PUSTA, \n",
      "LIEBA with 5 places, week Semaine Impaire :Victor LIEBA, Zoe SALA, Claire GRALE, Valentine LUPA, Solveig RINTEAU, \n",
      "SALA with 4 places, week Semaine paire :Pablo SALA, Mayeul MIPO, Victor NANCO, Wandrille TEVA, \n",
      "SALA with 4 places, week Semaine Impaire :Victor NOMAR, Arthur CHIBLA, Corentin CHIBLA, Pablo SALA, \n",
      "BOT with 6 places, week Semaine Impaire :Ambroise LEDROU, Madeleine MEGUI, Paul TRULA, Antoine BOT, Soren RINTEAU, Victor NANCO, \n",
      "\n",
      "Vendredi 9h\n",
      "GRALE with 6 places, week Semaine paire :Apolline GRALE, Taissia PUSTA, \n",
      "GRALE with 6 places, week Semaine Impaire :Apolline GRALE, Taissia PUSTA, \n",
      "\n",
      "Vendredi 15h30\n",
      "SERROU with 4 places, week Semaine Impaire :Léandre DRIMI, Clovis SERROU, \n",
      "TEVA with 6 places, week Semaine paire :Germain MEGUI, Léandre DRIMI, Nicolas KICHO, Valentine LUPA, Clovis SERROU, Soren RINTEAU, \n",
      "TEVA with 6 places, week Semaine Impaire :Germain MEGUI, Apolline DRIMI, Nicolas KICHO, Valentine LUPA, Soren RINTEAU, Wandrille TEVA, \n",
      "\n",
      "Vendredi 16h30\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "TEVA with 6 places, week Semaine Impaire :Louis NOMAR, Apolline GRALE, Théophile NALI , Léandre DRIMI, Christelle GISME, \n",
      "NETI with 4 places, week Semaine paire :Marie NETI, Théophile NALI , Léandre DRIMI, Christelle GISME, \n",
      "DRIMI with 6 places, week Semaine Impaire :Marie NETI, Basile LUPA, Alya TISMA, Aramis PUSTA, Taissia PUSTA, Solveig RINTEAU, \n",
      "RINTEAU with 6 places, week Semaine paire :Basile LUPA, Alya TISMA, Aramis PUSTA, Taissia PUSTA, Solveig RINTEAU, Wandrille TEVA, \n",
      "\n",
      "Vendredi 17h30\n",
      "SALA with 4 places, week Semaine paire :Victor LIEBA, Zoe SALA, Aramis PUSTA, Soren RINTEAU, \n",
      "SALA with 4 places, week Semaine Impaire :Victor LIEBA, Zoe SALA, Aramis PUSTA, Soren RINTEAU, \n",
      "\n",
      "Vendredi 18h30\n",
      "\n",
      "Enfant 1 qui a le droit à 40 trajets : 16 trajets\n",
      "Enfant 2 qui a le droit à 40 trajets : 16 trajets\n",
      "Enfant 3 qui a le droit à 40 trajets : 15 trajets\n",
      "Enfant 4 qui a le droit à 48 trajets : 11 trajets\n",
      "Enfant 5 qui a le droit à 48 trajets : 9 trajets\n",
      "Enfant 6 qui a le droit à 20 trajets : 8 trajets\n",
      "Enfant 7 qui a le droit à 20 trajets : 11 trajets\n",
      "Enfant 8 qui a le droit à 24 trajets : 10 trajets\n",
      "Enfant 9 qui a le droit à 36 trajets : 10 trajets\n",
      "Enfant 10 qui a le droit à 80 trajets : 10 trajets\n",
      "Enfant 11 qui a le droit à 50 trajets : 14 trajets\n",
      "Enfant 12 qui a le droit à 24 trajets : 12 trajets\n",
      "Enfant 13 qui a le droit à 32 trajets : 15 trajets\n",
      "Enfant 14 qui a le droit à 32 trajets : 8 trajets\n",
      "Enfant 15 qui a le droit à 40 trajets : 12 trajets\n",
      "Enfant 16 qui a le droit à 40 trajets : 9 trajets\n",
      "Enfant 17 qui a le droit à 40 trajets : 15 trajets\n",
      "Enfant 18 qui a le droit à 60 trajets : 9 trajets\n",
      "Enfant 19 qui a le droit à 60 trajets : 12 trajets\n",
      "Enfant 20 qui a le droit à 40 trajets : 13 trajets\n",
      "Enfant 21 qui a le droit à 40 trajets : 16 trajets\n",
      "Enfant 22 qui a le droit à 108 trajets : 12 trajets\n",
      "Enfant 23 qui a le droit à 108 trajets : 12 trajets\n",
      "Enfant 24 qui a le droit à 108 trajets : 15 trajets\n",
      "Enfant 25 qui a le droit à 36 trajets : 18 trajets\n",
      "Enfant 26 qui a le droit à 60 trajets : 18 trajets\n",
      "Enfant 27 qui a le droit à 60 trajets : 21 trajets\n",
      "Enfant 28 qui a le droit à 56 trajets : 14 trajets\n",
      "Enfant 29 qui a le droit à 0 trajets : 0 trajets\n",
      "Enfant 30 qui a le droit à 60 trajets : 12 trajets\n",
      "Enfant 31 qui a le droit à 40 trajets : 19 trajets\n",
      "Enfant 32 qui a le droit à 56 trajets : 20 trajets\n",
      "Enfant 33 qui a le droit à 56 trajets : 20 trajets\n",
      "Enfant 34 qui a le droit à 12 trajets : 12 trajets\n",
      "Enfant 35 qui a le droit à 56 trajets : 21 trajets\n",
      "Enfant 36 qui a le droit à 48 trajets : 20 trajets\n",
      "Enfant 37 qui a le droit à 12 trajets : 9 trajets\n",
      "Enfant 38 qui a le droit à 56 trajets : 22 trajets\n",
      "Enfant 39 qui a le droit à 56 trajets : 18 trajets\n",
      "Enfant 40 qui a le droit à 60 trajets : 20 trajets\n",
      "Enfant 41 qui a le droit à 60 trajets : 22 trajets\n",
      "Enfant 42 qui a le droit à 36 trajets : 10 trajets\n",
      "Enfant 43 qui a le droit à 36 trajets : 14 trajets\n",
      "[1 40; 2 40; 3 40; 4 48; 5 48; 6 20; 7 20; 8 24; 9 36; 10 80; 11 50; 12 24; 13 32; 14 32; 15 40; 16 40; 17 40; 18 60; 19 60; 20 40; 21 40; 22 108; 23 108; 24 108; 25 36; 26 60; 27 60; 28 56; 29 0; 30 60; 31 40; 32 56; 33 56; 34 12; 35 56; 36 48; 37 12; 38 56; 39 56; 40 60; 41 60; 42 36; 43 36]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "300×27 Matrix{String}:\n",
       " \"Lundi 8h\"         \"Lundi 9h\"          …  \"Vendredi 17h30\"  \"Vendredi 18h30\"\n",
       " \"Semaine paire\"    \"Semaine paire\"        \"Semaine paire\"   \"/////////////\"\n",
       " \"CHIBLA 6 places\"  \"FRAYJOU 4 places\"     \"SALA 4 places\"   \"/////////////\"\n",
       " \"Arthur CHIBLA\"    \"Aymeric TELFRO\"       \"Victor LIEBA\"    \"/////////////\"\n",
       " \"Basile LUPA\"      \"Madeleine MEGUI\"      \"Zoe SALA\"        \"/////////////\"\n",
       " \"Mayeul MIPO\"      \"Juliette FRAYJOU\"  …  \"Aramis PUSTA\"    \"/////////////\"\n",
       " \"Aramis PUSTA\"     \"Christelle GISME\"     \"Soren RINTEAU\"   \"/////////////\"\n",
       " \"Taissia PUSTA\"    \"/\"                    \"/\"               \"/////////////\"\n",
       " \"Solveig RINTEAU\"  \"/\"                    \"/\"               \"/////////////\"\n",
       " \"/\"                \"/\"                    \"/\"               \"/////////////\"\n",
       " \"/\"                \"/\"                 …  \"/\"               \"/////////////\"\n",
       " \"/\"                \"/\"                    \"/\"               \"/////////////\"\n",
       " \"/\"                \"/\"                    \"/\"               \"/////////////\"\n",
       " ⋮                                      ⋱  ⋮                 \n",
       " \"/////////////\"    \"/////////////\"        \"/////////////\"   \"/////////////\"\n",
       " \"/////////////\"    \"/////////////\"        \"/////////////\"   \"/////////////\"\n",
       " \"/////////////\"    \"/////////////\"     …  \"/////////////\"   \"/////////////\"\n",
       " \"/////////////\"    \"/////////////\"        \"/////////////\"   \"/////////////\"\n",
       " \"/////////////\"    \"/////////////\"        \"/////////////\"   \"/////////////\"\n",
       " \"/////////////\"    \"/////////////\"        \"/////////////\"   \"/////////////\"\n",
       " \"/////////////\"    \"/////////////\"        \"/////////////\"   \"/////////////\"\n",
       " \"/////////////\"    \"/////////////\"     …  \"/////////////\"   \"/////////////\"\n",
       " \"/////////////\"    \"/////////////\"        \"/////////////\"   \"/////////////\"\n",
       " \"/////////////\"    \"/////////////\"        \"/////////////\"   \"/////////////\"\n",
       " \"/////////////\"    \"/////////////\"        \"/////////////\"   \"/////////////\"\n",
       " \"/////////////\"    \"/////////////\"        \"/////////////\"   \"/////////////\""
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "covoiturage(6.5, 4, 500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "accelerator": "GPU",
  "colab": {
   "collapsed_sections": [
    "9UhI-pT62fgO",
    "hJNJorbS2uP-",
    "P7HRjerpdrtc",
    "Aiu_n4pZ0yTC"
   ],
   "provenance": []
  },
  "gpuClass": "standard",
  "kernelspec": {
   "display_name": "Julia 1.10.1",
   "language": "julia",
   "name": "julia-1.10"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.10.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}