Started slides for algorithms, also make the Python more idiomatic (and faster)
[cas-master-teacher-training.git] / hangman-better.ipynb
index 87426dd5baf2deff12c7179f7fe8ad79a9f2d924..eaf16654fb1129b1893e262c262c6bb78aef6a2a 100644 (file)
@@ -1,7 +1,7 @@
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  "metadata": {
   "name": "",
-  "signature": "sha256:6b8d6551e13b3d60196077d54315af6fd1f78b4de386098da7115fe7cf3112fb"
+  "signature": "sha256:545958b09bd5e8fa505a87efb9adac0a47f5192bcc21e705711935beec6eb83c"
  },
  "nbformat": 3,
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       "        self.game_lost = False\n",
       "    \n",
       "    def find_all(self, letter):\n",
-      "        locations = []\n",
-      "        starting=0\n",
-      "        location = self.target.find(letter)\n",
-      "        while location > -1:\n",
-      "            locations += [location]\n",
-      "            starting = location + 1\n",
-      "            location = self.target.find(letter, starting)\n",
-      "        return locations\n",
+      "        return [p for p, l in enumerate(self.target) if l == letter]\n",
       "    \n",
       "    def update_discovered_word(self, guessed_letter):\n",
       "        locations = self.find_all(guessed_letter)\n",
      "language": "python",
      "metadata": {},
      "outputs": [],
-     "prompt_number": 37
+     "prompt_number": 5
     },
     {
      "cell_type": "code",
       "        \n",
       "    def guess(self, discovered, missed, lives):\n",
       "        guessed_letters = [l.lower() for l in discovered + missed if l in string.ascii_letters]\n",
-      "        self.ordered_subtract(guessed_letters)\n",
-      "        return self.ordered_letters[0]\n",
-      "\n",
-      "    def ordered_subtract(self, to_remove):\n",
-      "        for r in to_remove:\n",
-      "            if r in self.ordered_letters:\n",
-      "                ri = self.ordered_letters.index(r)\n",
-      "                self.ordered_letters = self.ordered_letters[:ri] + self.ordered_letters[ri+1:]"
+      "        return [l for l in self.ordered_letters if l not in guessed_letters][0]"
      ],
      "language": "python",
      "metadata": {},
      "cell_type": "code",
      "collapsed": false,
      "input": [
+      "%%timeit\n",
+      "\n",
       "wins = 0\n",
       "for _ in range(1000):\n",
       "    g = Game(random.choice(WORDS), player=PlayerAlphabetical())\n",
        "output_type": "stream",
        "stream": "stdout",
        "text": [
-        "42\n"
+        "50\n",
+        "59"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "33"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "53"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "49"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "42"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "43"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "54"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "49"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "54"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "45"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "46"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "44"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "45"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "48"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "51"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "46"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "54"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "49"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "44"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "42"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "44"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "48"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "39"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "46"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "43"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "50"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "47"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "52"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "46"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "55"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "47"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "39"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "55"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "40"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "46"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "53"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "43"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "40"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "53"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "41"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "10 loops, best of 3: 64.2 ms per loop\n"
+       ]
+      }
+     ],
+     "prompt_number": 54
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "%%timeit\n",
+      "\n",
+      "wins = 0\n",
+      "for _ in range(1000):\n",
+      "    g = Game(random.choice(WORDS), player=PlayerFreqOrdered())\n",
+      "    g.play_game()\n",
+      "    if g.game_won:\n",
+      "        wins += 1\n",
+      "print(wins)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "334\n",
+        "342"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "318"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "313"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "353"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "304"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "332"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "313"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "335"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "339"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "328"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "334"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "322"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "347"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "334"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "340"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "319"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "365"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "315"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "307"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "314"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "317"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "310"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "324"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "313"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "318"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "314"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "324"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "297"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "335"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "335"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "343"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "342"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "318"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "306"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "353"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "332"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "330"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "334"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "307"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "306"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "10 loops, best of 3: 96.2 ms per loop\n"
+       ]
+      }
+     ],
+     "prompt_number": 56
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "%%timeit\n",
+      "\n",
+      "wins = 0\n",
+      "for _ in range(1000):\n",
+      "    g = Game(random.choice(WORDS), player=PlayerFixedOrder(list(reversed(string.ascii_lowercase))))\n",
+      "    g.play_game()\n",
+      "    if g.game_won:\n",
+      "        wins += 1\n",
+      "print(wins)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "7\n",
+        "5"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "6"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "7"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "7"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "10"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "8"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "5"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "5"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "5"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "9"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "3"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "8"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "13"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "8"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "10"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "9"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "9"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "12"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "6"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "6"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "14"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "9"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "1"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "8"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "8"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "7"
        ]
-      }
-     ],
-     "prompt_number": 38
-    },
-    {
-     "cell_type": "code",
-     "collapsed": false,
-     "input": [
-      "wins = 0\n",
-      "for _ in range(1000):\n",
-      "    g = Game(random.choice(WORDS), player=PlayerFreqOrdered())\n",
-      "    g.play_game()\n",
-      "    if g.game_won:\n",
-      "        wins += 1\n",
-      "print(wins)"
-     ],
-     "language": "python",
-     "metadata": {},
-     "outputs": [
+      },
       {
        "output_type": "stream",
        "stream": "stdout",
        "text": [
-        "330\n"
+        "\n",
+        "9"
        ]
-      }
-     ],
-     "prompt_number": 9
-    },
-    {
-     "cell_type": "code",
-     "collapsed": false,
-     "input": [
-      "wins = 0\n",
-      "for _ in range(1000):\n",
-      "    g = Game(random.choice(WORDS), player=PlayerFixedOrder(list(reversed(string.ascii_lowercase))))\n",
-      "    g.play_game()\n",
-      "    if g.game_won:\n",
-      "        wins += 1\n",
-      "print(wins)"
-     ],
-     "language": "python",
-     "metadata": {},
-     "outputs": [
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "10"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "6"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "7"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "6"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "4"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "6"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "3"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "7"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "7"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "10"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "11"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "6"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "4"
+       ]
+      },
       {
        "output_type": "stream",
        "stream": "stdout",
        "text": [
-        "8\n"
+        "\n",
+        "10 loops, best of 3: 74.6 ms per loop\n"
        ]
       }
      ],
-     "prompt_number": 10
+     "prompt_number": 57
     },
     {
      "cell_type": "code",
        "output_type": "stream",
        "stream": "stdout",
        "text": [
-        "472\n"
+        "440\n"
        ]
       }
      ],
       "        if not self.candidate_words:\n",
       "            self.set_ordered_letters(len(discovered))\n",
       "        guessed_letters = [l.lower() for l in discovered + missed if l in string.ascii_letters]\n",
-      "        self.ordered_subtract(guessed_letters)\n",
-      "        return self.ordered_letters[0]\n",
-      "\n",
-      "    def ordered_subtract(self, to_remove):\n",
-      "        for r in to_remove:\n",
-      "            if r in self.ordered_letters:\n",
-      "                ri = self.ordered_letters.index(r)\n",
-      "                self.ordered_letters = self.ordered_letters[:ri] + self.ordered_letters[ri+1:]\n",
+      "        return [l for l in self.ordered_letters if l not in guessed_letters][0]\n",
       "    \n",
       "    def set_ordered_letters(self, word_len):\n",
       "        self.candidate_words = [w for w in self.all_words if len(w) == word_len]\n",
      "language": "python",
      "metadata": {},
      "outputs": [],
-     "prompt_number": 15
+     "prompt_number": 33
     },
     {
      "cell_type": "code",
        "output_type": "stream",
        "stream": "stdout",
        "text": [
-        "452\n"
+        "474\n"
        ]
       }
      ],
-     "prompt_number": 16
+     "prompt_number": 34
     },
     {
      "cell_type": "code",
       "        self.filter_candidate_words(discovered)\n",
       "        self.set_ordered_letters()\n",
       "        guessed_letters = [l.lower() for l in discovered + missed if l in string.ascii_letters]\n",
-      "        self.ordered_subtract(guessed_letters)\n",
-      "        return self.ordered_letters[0]\n",
-      "\n",
-      "    def ordered_subtract(self, to_remove):\n",
-      "        for r in to_remove:\n",
-      "            if r in self.ordered_letters:\n",
-      "                ri = self.ordered_letters.index(r)\n",
-      "                self.ordered_letters = self.ordered_letters[:ri] + self.ordered_letters[ri+1:]\n",
+      "        return [l for l in self.ordered_letters if l not in guessed_letters][0]\n",
       "    \n",
       "    def filter_candidate_words(self, discovered):\n",
       "        exp = re.compile('^' + ''.join(discovered).replace('_', '.') + '$')\n",
      "language": "python",
      "metadata": {},
      "outputs": [],
-     "prompt_number": 17
+     "prompt_number": 35
     },
     {
      "cell_type": "code",
        "output_type": "stream",
        "stream": "stdout",
        "text": [
-        "975\n"
+        "982\n"
        ]
       }
      ],
-     "prompt_number": 18
+     "prompt_number": 36
     },
     {
      "cell_type": "code",
      "language": "python",
      "metadata": {},
      "outputs": [],
-     "prompt_number": 50
+     "prompt_number": 37
     },
     {
      "cell_type": "code",
       "        self.filter_candidate_words(missed)\n",
       "        self.set_ordered_letters()\n",
       "        guessed_letters = [l.lower() for l in discovered + missed if l in string.ascii_letters]\n",
-      "        self.ordered_subtract(guessed_letters)\n",
-      "        return self.ordered_letters[0]\n",
-      "\n",
-      "    def ordered_subtract(self, to_remove):\n",
-      "        for r in to_remove:\n",
-      "            if r in self.ordered_letters:\n",
-      "                ri = self.ordered_letters.index(r)\n",
-      "                self.ordered_letters = self.ordered_letters[:ri] + self.ordered_letters[ri+1:]\n",
+      "        return [l for l in self.ordered_letters if l not in guessed_letters][0]\n",
       "    \n",
       "    def filter_candidate_words(self, missed):\n",
       "        if missed:\n",
      "language": "python",
      "metadata": {},
      "outputs": [],
-     "prompt_number": 62
+     "prompt_number": 38
     },
     {
      "cell_type": "code",
        "output_type": "stream",
        "stream": "stdout",
        "text": [
-        "491\n"
+        "502\n"
        ]
       }
      ],
-     "prompt_number": 63
+     "prompt_number": 39
     },
     {
      "cell_type": "code",
       "        self.filter_candidate_words(discovered, missed)\n",
       "        self.set_ordered_letters()\n",
       "        guessed_letters = [l.lower() for l in discovered + missed if l in string.ascii_letters]\n",
-      "        self.ordered_subtract(guessed_letters)\n",
-      "        return self.ordered_letters[0]\n",
-      "\n",
-      "    def ordered_subtract(self, to_remove):\n",
-      "        for r in to_remove:\n",
-      "            if r in self.ordered_letters:\n",
-      "                ri = self.ordered_letters.index(r)\n",
-      "                self.ordered_letters = self.ordered_letters[:ri] + self.ordered_letters[ri+1:]\n",
+      "        return [l for l in self.ordered_letters if l not in guessed_letters][0]\n",
       "    \n",
       "    def filter_candidate_words(self, discovered, missed):\n",
       "        attempted_letters = list(set(l.lower() for l in discovered + missed if l in string.ascii_letters))\n",
      "language": "python",
      "metadata": {},
      "outputs": [],
-     "prompt_number": 25
+     "prompt_number": 40
     },
     {
      "cell_type": "code",
        "output_type": "stream",
        "stream": "stdout",
        "text": [
-        "995\n"
+        "993\n"
        ]
       }
      ],
-     "prompt_number": 27
+     "prompt_number": 41
     },
     {
      "cell_type": "code",
        "output_type": "stream",
        "stream": "stdout",
        "text": [
-        "992\n",
-        "994"
+        "994\n",
+        "993"
        ]
       },
       {
        "stream": "stdout",
        "text": [
         "\n",
-        "989"
+        "987"
        ]
       },
       {
        "stream": "stdout",
        "text": [
         "\n",
-        "990"
+        "993"
        ]
       },
       {
        "stream": "stdout",
        "text": [
         "\n",
-        "1 loops, best of 3: 33.9 s per loop\n"
+        "1 loops, best of 3: 30.6 s per loop\n"
        ]
       }
      ],
-     "prompt_number": 28
+     "prompt_number": 42
     },
     {
      "cell_type": "code",
       "        self.filter_candidate_words(discovered, missed)\n",
       "        self.set_ordered_letters()\n",
       "        guessed_letters = [l.lower() for l in discovered + missed if l in string.ascii_letters]\n",
-      "        self.ordered_subtract(guessed_letters)\n",
-      "        return self.ordered_letters[0]\n",
-      "\n",
-      "    def ordered_subtract(self, to_remove):\n",
-      "        for r in to_remove:\n",
-      "            if r in self.ordered_letters:\n",
-      "                ri = self.ordered_letters.index(r)\n",
-      "                self.ordered_letters = self.ordered_letters[:ri] + self.ordered_letters[ri+1:]\n",
+      "        return [l for l in self.ordered_letters if l not in guessed_letters][0]\n",
       "    \n",
       "    def filter_candidate_words(self, discovered, missed):\n",
       "        pass\n",
      "language": "python",
      "metadata": {},
      "outputs": [],
-     "prompt_number": 29
+     "prompt_number": 43
     },
     {
      "cell_type": "code",
      "language": "python",
      "metadata": {},
      "outputs": [],
-     "prompt_number": 30
+     "prompt_number": 44
     },
     {
      "cell_type": "code",
      "language": "python",
      "metadata": {},
      "outputs": [],
-     "prompt_number": 31
+     "prompt_number": 45
     },
     {
      "cell_type": "code",
      "language": "python",
      "metadata": {},
      "outputs": [],
-     "prompt_number": 32
+     "prompt_number": 46
     },
     {
      "cell_type": "code",
      "language": "python",
      "metadata": {},
      "outputs": [],
-     "prompt_number": 33
+     "prompt_number": 47
     },
     {
      "cell_type": "code",
        "output_type": "stream",
        "stream": "stdout",
        "text": [
-        "465\n",
-        "458"
+        "479\n",
+        "455"
        ]
       },
       {
        "stream": "stdout",
        "text": [
         "\n",
-        "483"
+        "460"
        ]
       },
       {
        "stream": "stdout",
        "text": [
         "\n",
-        "482"
+        "498"
        ]
       },
       {
        "stream": "stdout",
        "text": [
         "\n",
-        "1 loops, best of 3: 18.5 s per loop\n"
+        "1 loops, best of 3: 15.9 s per loop\n"
        ]
       }
      ],
-     "prompt_number": 34
+     "prompt_number": 48
     },
     {
      "cell_type": "code",
        "output_type": "stream",
        "stream": "stdout",
        "text": [
-        "976\n",
+        "981\n",
         "983"
        ]
       },
        "stream": "stdout",
        "text": [
         "\n",
-        "983"
+        "980"
        ]
       },
       {
        "stream": "stdout",
        "text": [
         "\n",
-        "985"
+        "980"
        ]
       },
       {
        "stream": "stdout",
        "text": [
         "\n",
-        "1 loops, best of 3: 40.4 s per loop\n"
+        "1 loops, best of 3: 36.9 s per loop\n"
        ]
       }
      ],
-     "prompt_number": 35
+     "prompt_number": 49
     },
     {
      "cell_type": "code",
        "output_type": "stream",
        "stream": "stdout",
        "text": [
-        "513\n",
-        "507"
+        "521\n",
+        "484"
        ]
       },
       {
        "stream": "stdout",
        "text": [
         "\n",
-        "509"
+        "491"
        ]
       },
       {
        "stream": "stdout",
        "text": [
         "\n",
-        "523"
+        "518"
        ]
       },
       {
        "stream": "stdout",
        "text": [
         "\n",
-        "1 loops, best of 3: 8min 15s per loop\n"
+        "1 loops, best of 3: 7min 18s per loop\n"
        ]
       }
      ],
-     "prompt_number": 40
+     "prompt_number": 50
     },
     {
      "cell_type": "code",
        "output_type": "stream",
        "stream": "stdout",
        "text": [
-        "992\n",
-        "995"
+        "987\n",
+        "988"
        ]
       },
       {
        "stream": "stdout",
        "text": [
         "\n",
-        "998"
+        "996"
        ]
       },
       {
        "stream": "stdout",
        "text": [
         "\n",
-        "989"
+        "995"
        ]
       },
       {
        "stream": "stdout",
        "text": [
         "\n",
-        "1 loops, best of 3: 34.4 s per loop\n"
+        "1 loops, best of 3: 31.1 s per loop\n"
        ]
       }
      ],
-     "prompt_number": 41
+     "prompt_number": 51
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
-      "%%timeit\n",
-      "\n",
-      "wins = 0\n",
       "for _ in range(1000):\n",
-      "    g = Game(random.choice(WORDS), player=PlayerAdaptivePatternNegLookahead(WORDS))\n",
+      "    g = Game(random.choice(WORDS), player=PlayerAdaptivePattern(WORDS))\n",
       "    g.play_game()\n",
-      "    if g.game_won:\n",
-      "        wins += 1\n",
-      "print(wins)"
+      "    if not g.game_won:\n",
+      "        print(g.target, g.discovered, g.wrong_letters)"
      ],
      "language": "python",
      "metadata": {},
      "outputs": [
       {
-       "ename": "NameError",
-       "evalue": "name 'PlayerAdaptivePatternNegLookahead' is not defined",
-       "output_type": "pyerr",
-       "traceback": [
-        "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",
-        "\u001b[1;32m<ipython-input-42-850f0afb3e83>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mget_ipython\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mrun_cell_magic\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'timeit'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m''\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m'\\nwins = 0\\nfor _ in range(1000):\\n    g = Game(random.choice(WORDS), player=PlayerAdaptivePatternNegLookahead(WORDS))\\n    g.play_game()\\n    if g.game_won:\\n        wins += 1\\nprint(wins)'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
-        "\u001b[1;32m/usr/local/lib/python3.4/dist-packages/IPython/core/interactiveshell.py\u001b[0m in \u001b[0;36mrun_cell_magic\u001b[1;34m(self, magic_name, line, cell)\u001b[0m\n\u001b[0;32m   2160\u001b[0m             \u001b[0mmagic_arg_s\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mvar_expand\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mline\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mstack_depth\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   2161\u001b[0m             \u001b[1;32mwith\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mbuiltin_trap\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 2162\u001b[1;33m                 \u001b[0mresult\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mfn\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmagic_arg_s\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mcell\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m   2163\u001b[0m             \u001b[1;32mreturn\u001b[0m \u001b[0mresult\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   2164\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
-        "\u001b[1;32m/usr/local/lib/python3.4/dist-packages/IPython/core/magics/execution.py\u001b[0m in \u001b[0;36mtimeit\u001b[1;34m(self, line, cell)\u001b[0m\n",
-        "\u001b[1;32m/usr/local/lib/python3.4/dist-packages/IPython/core/magic.py\u001b[0m in \u001b[0;36m<lambda>\u001b[1;34m(f, *a, **k)\u001b[0m\n\u001b[0;32m    191\u001b[0m     \u001b[1;31m# but it's overkill for just that one bit of state.\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    192\u001b[0m     \u001b[1;32mdef\u001b[0m \u001b[0mmagic_deco\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0marg\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 193\u001b[1;33m         \u001b[0mcall\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;32mlambda\u001b[0m \u001b[0mf\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m*\u001b[0m\u001b[0ma\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mk\u001b[0m\u001b[1;33m:\u001b[0m \u001b[0mf\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m*\u001b[0m\u001b[0ma\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mk\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    194\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    195\u001b[0m         \u001b[1;32mif\u001b[0m \u001b[0mcallable\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0marg\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
-        "\u001b[1;32m/usr/local/lib/python3.4/dist-packages/IPython/core/magics/execution.py\u001b[0m in \u001b[0;36mtimeit\u001b[1;34m(self, line, cell)\u001b[0m\n\u001b[0;32m   1011\u001b[0m             \u001b[0mnumber\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;36m1\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   1012\u001b[0m             \u001b[1;32mfor\u001b[0m \u001b[0m_\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m10\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 1013\u001b[1;33m                 \u001b[1;32mif\u001b[0m \u001b[0mtimer\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtimeit\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mnumber\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;33m>=\u001b[0m \u001b[1;36m0.2\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m   1014\u001b[0m                     \u001b[1;32mbreak\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   1015\u001b[0m                 \u001b[0mnumber\u001b[0m \u001b[1;33m*=\u001b[0m \u001b[1;36m10\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
-        "\u001b[1;32m/usr/lib/python3.4/timeit.py\u001b[0m in \u001b[0;36mtimeit\u001b[1;34m(self, number)\u001b[0m\n\u001b[0;32m    176\u001b[0m         \u001b[0mgc\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdisable\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    177\u001b[0m         \u001b[1;32mtry\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 178\u001b[1;33m             \u001b[0mtiming\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0minner\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mit\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtimer\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    179\u001b[0m         \u001b[1;32mfinally\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    180\u001b[0m             \u001b[1;32mif\u001b[0m \u001b[0mgcold\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
-        "\u001b[1;32m<magic-timeit>\u001b[0m in \u001b[0;36minner\u001b[1;34m(_it, _timer)\u001b[0m\n",
-        "\u001b[1;31mNameError\u001b[0m: name 'PlayerAdaptivePatternNegLookahead' is not defined"
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "naked ['_', 'a', '_', 'e', 'd'] ['s', 'r', 'w', 'c', 't', 'g', 'l', 'f', 'p', 'm']\n",
+        "wound"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        " ['_', 'o', 'u', 'n', 'd'] ['s', 'e', 'a', 'y', 'p', 'm', 'f', 'h', 'b', 'r']\n",
+        "hut"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        " ['_', 'u', 't'] ['a', 'o', 'e', 'i', 'b', 'g', 'n', 'p', 'm', 'c']\n",
+        "fucker"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        " ['_', 'u', '_', '_', 'e', 'r'] ['d', 's', 'i', 'a', 'o', 't', 'b', 'n', 'm', 'l']\n",
+        "fox"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        " ['_', 'o', '_'] ['a', 't', 'b', 'd', 'w', 'p', 'n', 's', 'g', 'y']\n",
+        "wills"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        " ['_', 'i', 'l', 'l', 's'] ['e', 'o', 'a', 'g', 'p', 'm', 'k', 'f', 'h', 'd']\n",
+        "bunny"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        " ['_', 'u', 'n', 'n', 'y'] ['s', 'e', 'a', 'o', 'i', 'm', 'l', 'g', 'f', 't']\n",
+        "curving"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        " ['c', 'u', '_', '_', 'i', 'n', 'g'] ['e', 'a', 'o', 'l', 's', 'f', 'p', 'b', 't', 'm']\n",
+        "hoe"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        " ['_', 'o', '_'] ['a', 't', 'b', 'd', 'w', 'p', 'n', 's', 'g', 'y']\n",
+        "butt"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        " ['_', 'u', '_', '_'] ['e', 's', 'o', 'a', 'i', 'l', 'f', 'r', 'n', 'm']\n",
+        "mucked"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        " ['_', 'u', '_', '_', 'e', 'd'] ['a', 'o', 'i', 'l', 's', 't', 'f', 'p', 'g', 'b']\n",
+        "flaw"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        " ['f', 'l', 'a', '_'] ['e', 's', 'o', 'r', 'y', 'g', 'k', 'x', 'p', 'n']\n"
        ]
       }
      ],
-     "prompt_number": 42
+     "prompt_number": 52
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
-      "for _ in range(1000):\n",
+      "iterations = 10000\n",
+      "wins = 0\n",
+      "for _ in range(iterations):\n",
       "    g = Game(random.choice(WORDS), player=PlayerAdaptivePattern(WORDS))\n",
       "    g.play_game()\n",
-      "    if not g.game_won:\n",
-      "        print(g.target, g.discovered, g.wrong_letters)"
+      "    if g.game_won:\n",
+      "        wins += 1\n",
+      "print(wins / iterations)"
      ],
      "language": "python",
      "metadata": {},
-     "outputs": []
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "0.9936\n"
+       ]
+      }
+     ],
+     "prompt_number": 53
     },
     {
      "cell_type": "code",
      "input": [],
      "language": "python",
      "metadata": {},
-     "outputs": []
+     "outputs": [],
+     "prompt_number": 53
     }
    ],
    "metadata": {}