{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# TP 4 : Programmation dynamique"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "readKnapInstance"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"Open and read a KnapFile.\n",
    "\n",
    "Args: \\\\\n",
    "    - filename (String): the name of the file to read.\n",
    "\n",
    "Returns: \\\\\n",
    "    - price (Vector{Integer}): prices of items to put in the KnapSack. \\\\\n",
    "    - weight (Vector{Integer}): weights of items to put in the KnapSack. \\\\\n",
    "    - capacity (Integer): the maximum capacity of the KnapSack.\n",
    "\"\"\"\n",
    "function readKnapInstance(filename)\n",
    "    price = []\n",
    "    weight = []\n",
    "    capacity = -1\n",
    "    open(filename) do f\n",
    "        for i = 1:3\n",
    "            tok = split(readline(f))\n",
    "            if (tok[1] == \"ListPrices=\")\n",
    "                for i = 2:(length(tok)-1)\n",
    "                    push!(price, parse(Int64, tok[i]))\n",
    "                end\n",
    "            elseif (tok[1] == \"ListWeights=\")\n",
    "                for i = 2:(length(tok)-1)\n",
    "                    push!(weight, parse(Int64, tok[i]))\n",
    "                end\n",
    "            elseif (tok[1] == \"Capacity=\")\n",
    "                capacity = parse(Int64, tok[2])\n",
    "            else\n",
    "                println(\"Unknown read :\", tok)\n",
    "            end\n",
    "        end\n",
    "    end\n",
    "    return price, weight, capacity\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "analyseDynamique (generic function with 1 method)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "function analyseDynamique(price, weight, i, j)\n",
    "    if i > 0\n",
    "        C1, sol1 = analyseDynamique(price, weight, i - 1, j)\n",
    "        if j - weight[i] >= 0\n",
    "            C2, sol2 = analyseDynamique(price, weight, i - 1, j - weight[i])\n",
    "            C2 += price[i]\n",
    "            if C1 >= C2\n",
    "                res = C1\n",
    "                sol = push!(sol1, 0)\n",
    "            else\n",
    "                res = C2\n",
    "                sol = push!(sol2, 1)\n",
    "            end\n",
    "        else\n",
    "            res = C1\n",
    "            sol = push!(sol1, 0)\n",
    "        end\n",
    "    else\n",
    "        res = 0\n",
    "        sol = Vector{Int8}()\n",
    "    end\n",
    "    \n",
    "    return res, sol\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3906\n",
      "Int8[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 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, 1, 1, 0, 0, 1, 0, 0]\n"
     ]
    }
   ],
   "source": [
    "price, weight, capacity = readKnapInstance(\"test4.opb\")\n",
    "\n",
    "res, sol = analyseDynamique(price, weight, length(price), capacity)\n",
    "\n",
    "println(res)\n",
    "println(sol)"
   ]
  }
 ],
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