{"cells": [{"cell_type": "markdown", "metadata": {}, "source": ["# 2A.algo - Puzzles algorithmes (1) - correction\n", "\n", "El\u00e9ments de r\u00e9ponses pour des puzzles algorithmiques tir\u00e9s de [Google Code Jam](https://code.google.com/codejam/) et autres sites \u00e9quivalents, produits scalaires, probl\u00e8mes de recouvrements, soudoyer les prisonniers, d\u00e9coupage stratifi\u00e9."]}, {"cell_type": "code", "execution_count": 1, "metadata": {"ExecuteTime": {"end_time": "2016-11-06T22:18:24.187559", "start_time": "2016-11-06T22:18:24.176577"}}, "outputs": [{"data": {"text/html": ["
run previous cell, wait for 2 seconds
\n", ""], "text/plain": [""]}, "execution_count": 2, "metadata": {}, "output_type": "execute_result"}], "source": ["from jyquickhelper import add_notebook_menu\n", "add_notebook_menu()"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Produits scalaires"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Le probl\u00e8me est tir\u00e9 de [Google Jam 2008, round 1A](https://code.google.com/codejam/contest/32016/dashboard#s=p0).\n", "\n", "On consid\u00e8re deux tableaux $v=(v_1,..., v_n)$ et $w=(w_1,...,w_n)$. On souhaite le minimum : $\\min_{\\sigma,\\sigma'} \\sum_{i=1}^{n} v_{\\sigma(i)} w_{\\sigma'(i)}$ o\u00f9 $\\sigma,\\sigma'$ sont deux permutations de l'ensemble $[[1,...,n]]$."]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Probl\u00e8me de recouvrement"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Premi\u00e8re solution\n", "\n", "Elle est inspir\u00e9 de la [distance d'\u00e9dition](http://fr.wikipedia.org/wiki/Distance_de_Levenshtein). Si on doit recouvrir l'ensemble des entiers $[[0,n]]$, on passe en revue tous les intervalles qui inclut 0. On construit deux tableaux :\n", "\n", "* $entier[i]$ : conserve le nombre minimum d'intervalles pour couvrir tous les entiers de $0$ \u00e0 $i$\n", "* $pred[i]$ : conserver le dernier intervalle utilis\u00e9 pour recouvrir $i$\n", "\n", "On commence par initialiser $entier[0]$ en passant en revue tous les intervalles qui inclut 0. Pour trouver $entier[i+1]$, on passe en revue tous les intervalles $[a,b]$, et on affirme que:\n", "\n", "$entier[n+1] = \\min \\{ entier[a] + 1 \\; si \\; a \\leqslant n+1 \\leqslant b \\}$\n", "\n", "Le tableau $pred[n+1]$ conserve l'intervalle qui minimise le probl\u00e8me de minimisation pr\u00e9c\u00e9dent.\n", "\n", "Une fois les tableaux $entier$ et $pred$ renseign\u00e9, on utilise le tableaux $pred$ pour retrouver la solution."]}, {"cell_type": "code", "execution_count": 2, "metadata": {"ExecuteTime": {"end_time": "2016-11-06T22:18:24.248570", "start_time": "2016-11-06T22:18:24.191560"}}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["sol= [(0, 1)]\n"]}], "source": ["def recouvrement(B, intervalles) :\n", " # initialisation\n", " entier = {}\n", " pred = {}\n", " for a,b in intervalles:\n", " if 0 <= a <= B :\n", " for k in range(0,b+1):\n", " entier[k] = 1\n", " pred [k] = (a,b)\n", " \n", " # programmation dynamique\n", " i = 0\n", " while i <= B:\n", " mini = None\n", " best = None \n", " for a,b in intervalles:\n", " if a <= i <= b:\n", " a = max(0,a)\n", " for l in range(a, b+1):\n", " if l in entier:\n", " d = entier[l] + 1\n", " if mini is None or d < mini:\n", " mini = d\n", " best = (a,b)\n", " entier[i] = d\n", " pred[i] = best\n", " i += 1\n", " \n", " # on retourne la solution\n", " if B in entier:\n", " sol = []\n", " while B > 0:\n", " p = pred[B]\n", " m = max(0,p[0])\n", " sol.append ( p )\n", " B = p[0]\n", " sol.reverse()\n", " return sol\n", " else:\n", " # la solution n'existe pas\n", " return None\n", " \n", "b = 1\n", "intervalles = [ (-1, 0), (0,1), (0,0) ]\n", "print(\"sol=\",recouvrement(b, intervalles))"]}, {"cell_type": "markdown", "metadata": {}, "source": ["### Seconde solution\n", "\n", "Ce programme am\u00e9liore la solution pr\u00e9c\u00e9dente."]}, {"cell_type": "code", "execution_count": 3, "metadata": {"ExecuteTime": {"end_time": "2016-11-06T22:18:24.287080", "start_time": "2016-11-06T22:18:24.253573"}}, "outputs": [{"data": {"image/png": 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iPPEhrODWX1DQBsGwEr9SCJmSibGKkqPeht2/fmAy7MXKGW6UATfzIgy6xkhe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O3wfL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\nXO3YZL+f3bP7WLfoPnVL8Oua9fshiThHe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"text/plain": [""]}, "execution_count": 4, "metadata": {"image/png": {"width": 500}}, "output_type": "execute_result"}], "source": ["from IPython.core.display import Image\n", "Image(\"inter.png\", width=500)"]}, {"cell_type": "code", "execution_count": 4, "metadata": {"ExecuteTime": {"end_time": "2016-11-06T22:18:24.320086", "start_time": "2016-11-06T22:18:24.292082"}}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["sol= [(0, 1)]\n"]}], "source": ["# solution par Benjamin DONNOT\n", "def solve(B, intervalles):\n", " res = []\n", " upper = 0\n", " while True:\n", " aux = []\n", " for x in intervalles :\n", " if x[0] <= upper:\n", " aux.append ( x )\n", " \n", " new_intervalles = []\n", " for x in intervalles :\n", " new_intervalles.append ( x )\n", " intervalles = new_intervalles \n", " \n", " if (aux ==[]) :\n", " return '0\\n'\n", " \n", " mymax = max(aux,key=lambda x: x[1])\n", " res.append(mymax)\n", " upper = mymax[1]\n", " if(upper >= B):\n", " break\n", " \n", " return res\n", "\n", "b = 1\n", "intervalles = [ (-1, 0), (0,1), (0,0) ]\n", "print(\"sol=\",solve(b, intervalles))"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Vous pouvez observer le d\u00e9roulement de ces deux solutions sur [PythonTutor](http://pythontutor.com/)."]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Soudoyer les prisonniers\n", "\n", "[Problem C. Bribe the Prisoners](https://code.google.com/codejam/contest/189252/dashboard#s=p2)"]}, {"cell_type": "markdown", "metadata": {"ExecuteTime": {"end_time": "2016-11-06T22:43:07.049080", "start_time": "2016-11-06T22:43:07.037078"}}, "source": ["### Approche par programmation dynamique\n", "\n", "Une observation fondamentale \u00e0 faire pour ce probl\u00e8me est la suivante. Imaginons qu'un oracle nous donne le nombre de pi\u00e8ces\n", "d'or minimum \u00e0 d\u00e9penser pour toutes les prisons contenant strictement moins de $P$ cellules et strictement moins de $Q$ prisonniers. On peut alors r\u00b4esoudre notre probl\u00e8me par :\n", "\n", "$$\\min_{q \\in Q} \\left[ G(1,q-1) + G(q+1, P) + P - 1 \\right]$$\n", "\n", "On va donc utiliser cette observation pour calculer la quantit\u00e9 cherch\u00e9e r\u00e9cursivement. D'autre part, afin d'\u00e9viter de refaire les\n", "calculs plusieurs fois, on va m\u00e9moriser les r\u00e9ponses."]}, {"cell_type": "code", "execution_count": 5, "metadata": {"ExecuteTime": {"end_time": "2016-11-06T22:43:20.109717", "start_time": "2016-11-06T22:43:20.093717"}}, "outputs": [{"data": {"image/png": 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Cy8Jx++MMvini5j7dMrw18yeM+bRjQS839Ca/ejIivpGoinazZ5bUYEz6TN3u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\nSUVORK5CYII=\n", "text/plain": [""]}, "execution_count": 6, "metadata": {"image/png": {"width": 450}}, "output_type": "execute_result"}], "source": ["from IPython.core.display import Image\n", "Image(\"priso.png\", width=450)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## D\u00e9coupage intelligent d'une base de donn\u00e9es\n", "\n", "Voir [GroupKFold](http://scikit-learn.org/stable/modules/generated/sklearn.model_selection.GroupKFold.html#sklearn.model_selection.GroupKFold), d\u00e9coupage stratifi\u00e9 d'une base de donn\u00e9es ou [stratified sampling](https://en.wikipedia.org/wiki/Stratified_sampling)."]}, {"cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": []}], "metadata": {"kernelspec": {"display_name": "Python 3", "language": "python", "name": "python3"}, "language_info": {"codemirror_mode": {"name": "ipython", "version": 3}, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.1"}}, "nbformat": 4, "nbformat_minor": 2}