{"cells": [{"cell_type": "markdown", "metadata": {}, "source": ["# 1A.2 - 2048 - strat\u00e9gie gagnante\n", "\n", "Le jeu 2048 est assez simple et fut populaire en son temps. Comment imaginer une strat\u00e9gie qui d\u00e9passer le 2048 ?"]}, {"cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [{"data": {"text/html": ["<div id=\"my_id_menu_nb\">run previous cell, wait for 2 seconds</div>\n", "<script>\n", "function repeat_indent_string(n){\n", "    var a = \"\" ;\n", "    for ( ; n > 0 ; --n)\n", "        a += \"    \";\n", "    return a;\n", "}\n", "var update_menu_string = function(begin, lfirst, llast, sformat, send, keep_item, begin_format, end_format) {\n", "    var anchors = document.getElementsByClassName(\"section\");\n", "    if (anchors.length == 0) {\n", "        anchors = document.getElementsByClassName(\"text_cell_render rendered_html\");\n", "    }\n", "    var i,t;\n", "    var text_menu = begin;\n", "    var text_memo = \"<pre>\\nlength:\" + anchors.length + \"\\n\";\n", "    var ind = \"\";\n", "    var memo_level = 1;\n", "    var href;\n", "    var tags = [];\n", "    var main_item = 0;\n", "    var format_open = 0;\n", "    for (i = 0; i <= llast; i++)\n", "        tags.push(\"h\" + i);\n", "\n", "    for (i = 0; i < anchors.length; i++) {\n", "        text_memo += \"**\" + anchors[i].id + \"--\\n\";\n", "\n", "        var child = null;\n", "        for(t = 0; t < tags.length; t++) {\n", "            var r = anchors[i].getElementsByTagName(tags[t]);\n", "            if (r.length > 0) {\n", "child = r[0];\n", "break;\n", "            }\n", "        }\n", "        if (child == null) {\n", "            text_memo += \"null\\n\";\n", "            continue;\n", "        }\n", "        if (anchors[i].hasAttribute(\"id\")) {\n", "            // when converted in RST\n", "            href = anchors[i].id;\n", "            text_memo += \"#1-\" + href;\n", "            // passer \u00e0 child suivant (le chercher)\n", "        }\n", "        else if (child.hasAttribute(\"id\")) {\n", "            // in a notebook\n", "            href = child.id;\n", "            text_memo += \"#2-\" + href;\n", "        }\n", "        else {\n", "            text_memo += \"#3-\" + \"*\" + \"\\n\";\n", "            continue;\n", "        }\n", "        var title = child.textContent;\n", "        var level = parseInt(child.tagName.substring(1,2));\n", "\n", "        text_memo += \"--\" + level + \"?\" + lfirst + \"--\" + title + \"\\n\";\n", "\n", "        if ((level < lfirst) || (level > llast)) {\n", "            continue ;\n", "        }\n", "        if (title.endsWith('\u00b6')) {\n", "            title = title.substring(0,title.length-1).replace(\"<\", \"&lt;\")\n", "         .replace(\">\", \"&gt;\").replace(\"&\", \"&amp;\");\n", "        }\n", "        if (title.length == 0) {\n", "            continue;\n", "        }\n", "\n", "        while (level < memo_level) {\n", "            text_menu += end_format + \"</ul>\\n\";\n", "            format_open -= 1;\n", "            memo_level -= 1;\n", "        }\n", "        if (level == lfirst) {\n", "            main_item += 1;\n", "        }\n", "        if (keep_item != -1 && main_item != keep_item + 1) {\n", "            // alert(main_item + \" - \" + level + \" - \" + keep_item);\n", "            continue;\n", "        }\n", "        while (level > memo_level) {\n", "            text_menu += \"<ul>\\n\";\n", "            memo_level += 1;\n", "        }\n", "        text_menu += repeat_indent_string(level-2);\n", "        text_menu += begin_format + sformat.replace(\"__HREF__\", href).replace(\"__TITLE__\", title);\n", "        format_open += 1;\n", "    }\n", "    while (1 < memo_level) {\n", "        text_menu += end_format + \"</ul>\\n\";\n", "        memo_level -= 1;\n", "        format_open -= 1;\n", "    }\n", "    text_menu += send;\n", "    //text_menu += \"\\n\" + text_memo;\n", "\n", "    while (format_open > 0) {\n", "        text_menu += end_format;\n", "        format_open -= 1;\n", "    }\n", "    return text_menu;\n", "};\n", "var update_menu = function() {\n", "    var sbegin = \"\";\n", "    var sformat = '<a href=\"#__HREF__\">__TITLE__</a>';\n", "    var send = \"\";\n", "    var begin_format = '<li>';\n", "    var end_format = '</li>';\n", "    var keep_item = -1;\n", "    var text_menu = update_menu_string(sbegin, 2, 4, sformat, send, keep_item,\n", "       begin_format, end_format);\n", "    var menu = document.getElementById(\"my_id_menu_nb\");\n", "    menu.innerHTML=text_menu;\n", "};\n", "window.setTimeout(update_menu,2000);\n", "            </script>"], "text/plain": ["<IPython.core.display.HTML object>"]}, "execution_count": 2, "metadata": {}, "output_type": "execute_result"}], "source": ["from jyquickhelper import add_notebook_menu\n", "add_notebook_menu()"]}, {"cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [{"data": {"image/png": 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+1A9NWzBxER3Rk+WlPM//+b/OH90GFzJ6UsFmGxy8gWRnvJOS1IBZh3GrhtHTE+O3L6/7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"text/plain": ["<IPython.core.display.Image object>"]}, "execution_count": 3, "metadata": {"image/png": {"width": 200}}, "output_type": "execute_result"}], "source": ["from pyquickhelper.helpgen import NbImage\n", "NbImage(\"images/2048.png\", width=200)"]}, {"cell_type": "markdown", "metadata": {"collapsed": true}, "source": ["## Exercice 1 : impl\u00e9menter les r\u00e8gles du jeu\n", "\n", "Le jeu est simple : \n", "\n", "* Un chiffre 2 ou 4 appara\u00eet dans une case vide d'une grille 4x4.\n", "* Le joueur peut choisir entre 4 directions.\n", "* Les chiffres de la grille sont boug\u00e9s comme s'ils tombaient dans la direction souhait\u00e9e par le joueur.\n", "* Deux chiffres identiques cons\u00e9cutifs sont remplac\u00e9s par leur somme.\n", "\n", "Voir [2048](http://gabrielecirulli.github.io/2048/)."]}, {"cell_type": "markdown", "metadata": {"collapsed": true}, "source": ["## Exercice 2 : impl\u00e9menter une strat\u00e9gie\n", "\n", "Et mesurer ses performances."]}, {"cell_type": "code", "execution_count": 3, "metadata": {"collapsed": true}, "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}