Tweaks
authorNeil Smith <neil.git@njae.me.uk>
Tue, 2 Dec 2014 12:10:00 +0000 (12:10 +0000)
committerNeil Smith <neil.git@njae.me.uk>
Tue, 2 Dec 2014 12:10:00 +0000 (12:10 +0000)
Untitled0.ipynb
programming.html

index 992afac7cde8b9c906276bf37c99b1d674164449..cb95e56865c58d3d4e9b29e01b1060b73d9700ec 100644 (file)
@@ -1,13 +1,83 @@
 {
  "metadata": {
   "name": "",
-  "signature": "sha256:a4f2510e4612d8ec6693f09edf9acc836f64b1078feac9000ff71e3ea775ee2f"
+  "signature": "sha256:78e6a962b2bb32da5900535436f656d194701924a6f32591d57f2b5973eb315c"
  },
  "nbformat": 3,
  "nbformat_minor": 0,
  "worksheets": [
   {
    "cells": [
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import string\n",
+      "string.ascii_lowercase"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 1,
+       "text": [
+        "'abcdefghijklmnopqrstuvwxyz'"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "string.ascii_lowercase[:-2]"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 9,
+       "text": [
+        "'abcdefghijklmnopqrstuvwx'"
+       ]
+      }
+     ],
+     "prompt_number": 9
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "for i in range(10):\n",
+      "    print(i, string.ascii_lowercase[i+2].upper())"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "0 C\n",
+        "1 D\n",
+        "2 E\n",
+        "3 F\n",
+        "4 G\n",
+        "5 H\n",
+        "6 I\n",
+        "7 J\n",
+        "8 K\n",
+        "9 L\n"
+       ]
+      }
+     ],
+     "prompt_number": 14
+    },
     {
      "cell_type": "code",
      "collapsed": false,
      ],
      "prompt_number": 1
     },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "members = ['Freddie', 'Brian', 'Roger', 'John']\n",
+      "members = ['Paul'] + members"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [],
+     "prompt_number": 20
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "members[99]"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "ename": "IndexError",
+       "evalue": "list index out of range",
+       "output_type": "pyerr",
+       "traceback": [
+        "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[1;31mIndexError\u001b[0m                                Traceback (most recent call last)",
+        "\u001b[1;32m<ipython-input-22-6b5bb11d700b>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mmembers\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m99\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
+        "\u001b[1;31mIndexError\u001b[0m: list index out of range"
+       ]
+      }
+     ],
+     "prompt_number": 22
+    },
     {
      "cell_type": "code",
      "collapsed": false,
      ],
      "prompt_number": 18
     },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "l2 = []\n",
+      "for i in (2,4,8,22):\n",
+      "    l2 += [i]\n",
+      "l2"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 25,
+       "text": [
+        "[2, 4, 8, 22]"
+       ]
+      }
+     ],
+     "prompt_number": 25
+    },
     {
      "cell_type": "code",
      "collapsed": false,
      "language": "python",
      "metadata": {},
      "outputs": [],
-     "prompt_number": 22
+     "prompt_number": 26
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
-      "grid_nums = [int(n) for n in GRID_STRING.split()]\n",
-      "grid_nums"
+      "gt= {}\n",
+      "for x in range(COLUMNS):\n",
+      "    for y in range(ROWS):\n",
+      "        gt[(x,y)] = grid_nums[x + y * COLUMNS]\n",
+      "gt"
      ],
      "language": "python",
      "metadata": {},
       {
        "metadata": {},
        "output_type": "pyout",
-       "prompt_number": 21,
+       "prompt_number": 41,
        "text": [
-        "[8,\n",
-        " 2,\n",
-        " 22,\n",
-        " 97,\n",
-        " 38,\n",
-        " 15,\n",
-        " 0,\n",
-        " 40,\n",
-        " 0,\n",
-        " 75,\n",
-        " 4,\n",
-        " 5,\n",
-        " 7,\n",
-        " 78,\n",
-        " 52,\n",
-        " 12,\n",
-        " 50,\n",
-        " 77,\n",
-        " 91,\n",
-        " 8,\n",
-        " 49,\n",
-        " 49,\n",
-        " 99,\n",
-        " 40,\n",
-        " 17,\n",
-        " 81,\n",
-        " 18,\n",
-        " 57,\n",
-        " 60,\n",
-        " 87,\n",
-        " 17,\n",
-        " 40,\n",
-        " 98,\n",
-        " 43,\n",
-        " 69,\n",
-        " 48,\n",
-        " 4,\n",
-        " 56,\n",
-        " 62,\n",
-        " 0,\n",
-        " 81,\n",
-        " 49,\n",
-        " 31,\n",
-        " 73,\n",
-        " 55,\n",
-        " 79,\n",
-        " 14,\n",
-        " 29,\n",
-        " 93,\n",
-        " 71,\n",
-        " 40,\n",
-        " 67,\n",
-        " 53,\n",
-        " 88,\n",
-        " 30,\n",
-        " 3,\n",
-        " 49,\n",
-        " 13,\n",
-        " 36,\n",
-        " 65,\n",
-        " 52,\n",
-        " 70,\n",
-        " 95,\n",
-        " 23,\n",
-        " 4,\n",
-        " 60,\n",
-        " 11,\n",
-        " 42,\n",
-        " 69,\n",
-        " 24,\n",
-        " 68,\n",
-        " 56,\n",
-        " 1,\n",
-        " 32,\n",
-        " 56,\n",
-        " 71,\n",
-        " 37,\n",
-        " 2,\n",
-        " 36,\n",
-        " 91,\n",
-        " 22,\n",
-        " 31,\n",
-        " 16,\n",
-        " 71,\n",
-        " 51,\n",
-        " 67,\n",
-        " 63,\n",
-        " 89,\n",
-        " 41,\n",
-        " 92,\n",
-        " 36,\n",
-        " 54,\n",
-        " 22,\n",
-        " 40,\n",
-        " 40,\n",
-        " 28,\n",
-        " 66,\n",
-        " 33,\n",
-        " 13,\n",
-        " 80,\n",
-        " 24,\n",
-        " 47,\n",
-        " 32,\n",
-        " 60,\n",
-        " 99,\n",
-        " 3,\n",
-        " 45,\n",
-        " 2,\n",
-        " 44,\n",
-        " 75,\n",
-        " 33,\n",
-        " 53,\n",
-        " 78,\n",
-        " 36,\n",
-        " 84,\n",
-        " 20,\n",
-        " 35,\n",
-        " 17,\n",
-        " 12,\n",
-        " 50,\n",
-        " 32,\n",
-        " 98,\n",
-        " 81,\n",
-        " 28,\n",
-        " 64,\n",
-        " 23,\n",
-        " 67,\n",
-        " 10,\n",
-        " 26,\n",
-        " 38,\n",
-        " 40,\n",
-        " 67,\n",
-        " 59,\n",
-        " 54,\n",
-        " 70,\n",
-        " 66,\n",
-        " 18,\n",
-        " 38,\n",
-        " 64,\n",
-        " 70,\n",
-        " 67,\n",
-        " 26,\n",
-        " 20,\n",
-        " 68,\n",
-        " 2,\n",
-        " 62,\n",
-        " 12,\n",
-        " 20,\n",
-        " 95,\n",
-        " 63,\n",
-        " 94,\n",
-        " 39,\n",
-        " 63,\n",
-        " 8,\n",
-        " 40,\n",
-        " 91,\n",
-        " 66,\n",
+        "{(7, 3): 42,\n",
+        " (6, 9): 76,\n",
+        " (17, 11): 29,\n",
+        " (19, 19): 48,\n",
+        " (16, 6): 18,\n",
+        " (7, 12): 7,\n",
+        " (19, 4): 80,\n",
+        " (18, 4): 13,\n",
+        " (18, 19): 67,\n",
+        " (8, 5): 44,\n",
+        " (10, 8): 78,\n",
+        " (9, 0): 75,\n",
+        " (11, 5): 53,\n",
+        " (10, 7): 94,\n",
+        " (14, 18): 81,\n",
+        " (12, 6): 59,\n",
+        " (10, 18): 49,\n",
+        " (0, 17): 20,\n",
+        " (15, 11): 24,\n",
+        " (14, 1): 69,\n",
+        " (13, 7): 8,\n",
+        " (12, 17): 82,\n",
+        " (0, 4): 22,\n",
+        " (15, 4): 28,\n",
+        " (1, 1): 49,\n",
+        " (4, 10): 22,\n",
+        " (3, 2): 73,\n",
+        " (2, 6): 81,\n",
+        " (5, 11): 35,\n",
+        " (4, 5): 99,\n",
+        " (6, 0): 0,\n",
+        " (4, 16): 38,\n",
+        " (7, 5): 2,\n",
+        " (19, 13): 40,\n",
+        " (7, 0): 40,\n",
+        " (16, 19): 89,\n",
+        " (17, 7): 49,\n",
+        " (18, 10): 56,\n",
+        " (17, 18): 57,\n",
+        " (16, 8): 34,\n",
+        " (8, 12): 5,\n",
+        " (9, 9): 45,\n",
+        " (10, 14): 57,\n",
+        " (8, 18): 74,\n",
+        " (11, 15): 67,\n",
+        " (9, 19): 92,\n",
+        " (15, 16): 32,\n",
+        " (14, 8): 14,\n",
+        " (13, 0): 78,\n",
+        " (12, 8): 96,\n",
+        " (11, 16): 18,\n",
+        " (15, 13): 77,\n",
+        " (13, 13): 52,\n",
+        " (2, 18): 35,\n",
+        " (0, 14): 4,\n",
+        " (3, 11): 42,\n",
+        " (2, 1): 99,\n",
+        " (1, 15): 36,\n",
+        " (4, 12): 35,\n",
+        " (2, 12): 0,\n",
+        " (5, 1): 81,\n",
+        " (3, 17): 41,\n",
+        " (16, 7): 66,\n",
+        " (6, 14): 99,\n",
+        " (19, 18): 54,\n",
+        " (17, 6): 38,\n",
+        " (7, 15): 72,\n",
+        " (19, 7): 21,\n",
+        " (18, 5): 12,\n",
+        " (7, 1): 57,\n",
+        " (18, 16): 76,\n",
+        " (8, 6): 26,\n",
+        " (10, 9): 35,\n",
+        " (9, 7): 63,\n",
+        " (11, 4): 54,\n",
+        " (10, 4): 36,\n",
+        " (14, 19): 52,\n",
+        " (12, 7): 63,\n",
+        " (11, 9): 14,\n",
+        " (10, 19): 33,\n",
+        " (0, 18): 20,\n",
+        " (15, 10): 14,\n",
+        " (14, 6): 70,\n",
+        " (13, 6): 54,\n",
+        " (12, 18): 48,\n",
+        " (1, 19): 70,\n",
+        " (0, 5): 24,\n",
+        " (15, 7): 91,\n",
+        " (13, 19): 43,\n",
+        " (1, 0): 2,\n",
+        " (0, 8): 24,\n",
+        " (4, 11): 96,\n",
+        " (3, 5): 60,\n",
+        " (2, 7): 20,\n",
+        " (5, 10): 75,\n",
+        " (4, 6): 64,\n",
+        " (6, 1): 18,\n",
+        " (5, 7): 62,\n",
+        " (4, 17): 72,\n",
+        " (16, 1): 4,\n",
+        " (19, 12): 58,\n",
+        " (17, 12): 54,\n",
+        " (7, 17): 88,\n",
+        " (19, 1): 0,\n",
+        " (18, 11): 85,\n",
+        " (7, 6): 10,\n",
+        " (8, 13): 28,\n",
+        " (9, 8): 17,\n",
+        " (8, 0): 0,\n",
+        " (10, 15): 33,\n",
+        " (8, 19): 16,\n",
+        " (11, 14): 32,\n",
+        " (9, 18): 31,\n",
+        " (15, 19): 1,\n",
+        " (14, 9): 33,\n",
+        " (12, 9): 0,\n",
+        " (11, 19): 48,\n",
+        " (15, 12): 58,\n",
+        " (13, 12): 60,\n",
+        " (2, 19): 54,\n",
+        " (0, 15): 88,\n",
+        " (3, 10): 28,\n",
+        " (1, 14): 52,\n",
+        " (4, 13): 5,\n",
+        " (2, 13): 81,\n",
+        " (5, 0): 15,\n",
+        " (3, 16): 73,\n",
+        " (6, 15): 20,\n",
+        " (16, 9): 34,\n",
+        " (16, 10): 9,\n",
+        " (7, 14): 16,\n",
+        " (6, 18): 90,\n",
+        " (19, 6): 70,\n",
+        " (18, 2): 36,\n",
+        " (17, 10): 53,\n",
+        " (18, 17): 36,\n",
+        " (16, 2): 49,\n",
+        " (8, 7): 95,\n",
+        " (9, 6): 38,\n",
+        " (11, 7): 39,\n",
+        " (10, 5): 33,\n",
+        " (14, 16): 29,\n",
+        " (12, 0): 7,\n",
+        " (11, 8): 78,\n",
+        " (10, 16): 72,\n",
+        " (0, 19): 1,\n",
+        " (14, 7): 40,\n",
+        " (13, 5): 36,\n",
+        " (12, 19): 61,\n",
+        " (1, 18): 73,\n",
+        " (0, 6): 32,\n",
+        " (15, 6): 66,\n",
+        " (13, 18): 86,\n",
+        " (1, 7): 26,\n",
+        " (0, 9): 21,\n",
+        " (3, 4): 71,\n",
+        " (2, 4): 16,\n",
+        " (5, 9): 0,\n",
+        " (4, 7): 2,\n",
+        " (6, 6): 67,\n",
+        " (5, 6): 23,\n",
+        " (4, 18): 78,\n",
+        " (7, 7): 20,\n",
+        " (5, 19): 51,\n",
+        " (19, 15): 69,\n",
+        " (17, 3): 2,\n",
+        " (7, 16): 11,\n",
+        " (19, 0): 8,\n",
+        " (18, 8): 63,\n",
+        " (17, 16): 62,\n",
+        " (7, 4): 89,\n",
+        " (9, 15): 46,\n",
+        " (8, 1): 60,\n",
+        " (10, 12): 44,\n",
+        " (11, 1): 40,\n",
+        " (9, 17): 62,\n",
+        " (15, 18): 16,\n",
+        " (14, 14): 26,\n",
+        " (12, 10): 4,\n",
+        " (11, 18): 71,\n",
+        " (15, 15): 32,\n",
+        " (13, 11): 17,\n",
+        " (2, 16): 16,\n",
+        " (0, 0): 8,\n",
+        " (8, 14): 7,\n",
+        " (1, 13): 80,\n",
+        " (4, 14): 97,\n",
+        " (2, 10): 53,\n",
+        " (5, 15): 62,\n",
+        " (3, 19): 71,\n",
+        " (6, 12): 89,\n",
+        " (17, 4): 33,\n",
+        " (16, 12): 51,\n",
+        " (6, 19): 54,\n",
+        " (19, 9): 95,\n",
+        " (18, 3): 36,\n",
+        " (17, 9): 31,\n",
+        " (18, 14): 98,\n",
+        " (17, 17): 4,\n",
+        " (16, 0): 50,\n",
+        " (16, 15): 63,\n",
+        " (9, 5): 75,\n",
+        " (11, 6): 67,\n",
+        " (10, 2): 40,\n",
+        " (14, 17): 59,\n",
+        " (12, 1): 98,\n",
+        " (11, 11): 24,\n",
+        " (10, 17): 99,\n",
+        " (14, 4): 40,\n",
+        " (13, 4): 40,\n",
+        " (12, 12): 44,\n",
+        " (1, 17): 69,\n",
+        " (0, 7): 67,\n",
+        " (15, 1): 48,\n",
+        " (13, 17): 67,\n",
+        " (1, 6): 98,\n",
+        " (0, 10): 78,\n",
+        " (17, 13): 89,\n",
+        " (3, 7): 68,\n",
+        " (2, 5): 32,\n",
+        " (1, 11): 39,\n",
+        " (5, 8): 73,\n",
+        " (4, 0): 38,\n",
+        " (6, 7): 12,\n",
+        " (5, 5): 3,\n",
+        " (4, 19): 83,\n",
+        " (16, 3): 37,\n",
+        " (6, 10): 31,\n",
+        " (5, 18): 31,\n",
+        " (19, 14): 66,\n",
+        " (17, 2): 13,\n",
+        " (7, 19): 69,\n",
+        " (19, 3): 91,\n",
+        " (18, 9): 33,\n",
+        " (8, 15): 3,\n",
+        " (9, 14): 97,\n",
+        " (8, 2): 93,\n",
+        " (10, 13): 92,\n",
+        " (9, 3): 24,\n",
+        " (11, 0): 5,\n",
+        " (9, 16): 94,\n",
+        " (14, 15): 12,\n",
+        " (12, 11): 0,\n",
+        " (15, 14): 79,\n",
+        " (14, 2): 30,\n",
+        " (13, 10): 62,\n",
+        " (2, 17): 36,\n",
+        " (0, 1): 49,\n",
+        " (3, 12): 48,\n",
+        " (1, 12): 56,\n",
+        " (4, 15): 57,\n",
+        " (3, 1): 40,\n",
+        " (2, 11): 5,\n",
+        " (5, 14): 35,\n",
+        " (3, 18): 29,\n",
+        " (6, 13): 47,\n",
+        " (7, 8): 26,\n",
+        " (6, 16): 39,\n",
+        " (19, 8): 72,\n",
+        " (18, 0): 91,\n",
+        " (17, 8): 89,\n",
+        " (16, 16): 40,\n",
+        " (18, 15): 53,\n",
+        " (8, 9): 20,\n",
+        " (9, 4): 92,\n",
+        " (7, 11): 47,\n",
+        " (10, 3): 68,\n",
+        " (12, 2): 53,\n",
+        " (11, 10): 80,\n",
+        " (14, 5): 84,\n",
+        " (13, 3): 32,\n",
+        " (12, 13): 86,\n",
+        " (1, 16): 42,\n",
+        " (3, 13): 68,\n",
+        " (15, 0): 12,\n",
+        " (13, 16): 46,\n",
+        " (1, 5): 47,\n",
+        " (0, 11): 16,\n",
+        " (3, 6): 28,\n",
+        " (2, 2): 31,\n",
+        " (1, 10): 17,\n",
+        " (4, 1): 17,\n",
+        " (6, 4): 63,\n",
+        " (5, 4): 67,\n",
+        " (16, 4): 66,\n",
+        " (6, 11): 31,\n",
+        " (5, 17): 30,\n",
+        " (19, 17): 16,\n",
+        " (17, 1): 56,\n",
+        " (7, 18): 1,\n",
+        " (19, 2): 65,\n",
+        " (18, 6): 64,\n",
+        " (9, 13): 73,\n",
+        " (8, 3): 69,\n",
+        " (10, 10): 3,\n",
+        " (9, 2): 71,\n",
+        " (16, 13): 4,\n",
+        " (11, 3): 56,\n",
+        " (14, 12): 21,\n",
+        " (12, 4): 22,\n",
+        " (15, 9): 97,\n",
+        " (14, 3): 56,\n",
+        " (13, 9): 61,\n",
+        " (0, 2): 81,\n",
+        " (3, 15): 87,\n",
+        " (1, 3): 70,\n",
+        " (4, 8): 66,\n",
+        " (3, 0): 97,\n",
+        " (2, 8): 58,\n",
+        " (5, 13): 94,\n",
+        " (6, 2): 14,\n",
+        " (16, 14): 33,\n",
+        " (6, 17): 23,\n",
+        " (19, 11): 57,\n",
+        " (18, 1): 62,\n",
+        " (17, 15): 93,\n",
+        " (16, 17): 74,\n",
+        " (18, 12): 17,\n",
+        " (8, 10): 15,\n",
+        " (9, 11): 58,\n",
+        " (10, 0): 4,\n",
+        " (8, 16): 24,\n",
+        " (12, 3): 1,\n",
+        " (11, 13): 13,\n",
+        " (14, 10): 16,\n",
+        " (13, 2): 88,\n",
+        " (12, 14): 16,\n",
+        " (15, 3): 71,\n",
+        " (13, 15): 55,\n",
+        " (1, 4): 31,\n",
+        " (0, 12): 86,\n",
+        " (3, 9): 9,\n",
+        " (2, 3): 95,\n",
+        " (1, 9): 36,\n",
+        " (4, 2): 55,\n",
+        " (2, 14): 8,\n",
+        " (6, 5): 45,\n",
+        " (5, 3): 60,\n",
+        " (16, 5): 35,\n",
+        " (6, 8): 99,\n",
+        " (5, 16): 25,\n",
+        " (19, 16): 36,\n",
+        " (17, 0): 77,\n",
+        " (7, 13): 69,\n",
+        " (19, 5): 50,\n",
+        " (18, 7): 94,\n",
+        " (7, 9): 44,\n",
+        " (18, 18): 5,\n",
+        " (9, 12): 44,\n",
+        " (8, 4): 41,\n",
+        " (10, 11): 88,\n",
+        " (9, 1): 87,\n",
+        " (17, 5): 17,\n",
+        " (11, 2): 67,\n",
+        " (10, 6): 40,\n",
+        " (16, 11): 36,\n",
+        " (14, 13): 17,\n",
+        " (12, 5): 78,\n",
+        " (0, 16): 4,\n",
+        " (15, 8): 88,\n",
+        " (14, 0): 52,\n",
+        " (13, 8): 83,\n",
+        " (12, 16): 8,\n",
+        " (0, 3): 52,\n",
+        " (15, 5): 20,\n",
+        " (3, 14): 83,\n",
+        " (1, 2): 49,\n",
+        " (4, 9): 75,\n",
+        " (3, 3): 23,\n",
+        " (2, 9): 23,\n",
+        " (5, 12): 71,\n",
+        " (4, 4): 51,\n",
+        " (6, 3): 11,\n",
+        " (8, 8): 97,\n",
+        " (7, 2): 29,\n",
+        " (7, 10): 67,\n",
+        " (19, 10): 92,\n",
+        " (17, 14): 27,\n",
+        " (16, 18): 23,\n",
+        " (18, 13): 55,\n",
+        " (17, 19): 19,\n",
+        " (8, 11): 55,\n",
+        " (9, 10): 94,\n",
+        " (10, 1): 17,\n",
+        " (8, 17): 34,\n",
+        " (11, 12): 37,\n",
+        " (15, 17): 85,\n",
+        " (14, 11): 54,\n",
+        " (13, 1): 43,\n",
+        " (12, 15): 46,\n",
+        " (11, 17): 69,\n",
+        " (15, 2): 3,\n",
+        " (13, 14): 26,\n",
+        " (0, 13): 19,\n",
+        " (3, 8): 5,\n",
+        " (2, 0): 22,\n",
+        " (1, 8): 55,\n",
+        " (4, 3): 4,\n",
+        " (2, 15): 68,\n",
+        " (5, 2): 79}"
+       ]
+      }
+     ],
+     "prompt_number": 41
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "gt_again = {(x,y): grid_nums[x + y * COLUMNS] \n",
+      "            for x in range(ROWS) \n",
+      "            for y in range(COLUMNS)}\n",
+      "gt_again[(3,2)]"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 43,
+       "text": [
+        "73"
+       ]
+      }
+     ],
+     "prompt_number": 43
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "grid_nums = [int(n) for n in GRID_STRING.split()]\n",
+      "grid_nums"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 28,
+       "text": [
+        "[8,\n",
+        " 2,\n",
+        " 22,\n",
+        " 97,\n",
+        " 38,\n",
+        " 15,\n",
+        " 0,\n",
+        " 40,\n",
+        " 0,\n",
+        " 75,\n",
+        " 4,\n",
+        " 5,\n",
+        " 7,\n",
+        " 78,\n",
+        " 52,\n",
+        " 12,\n",
+        " 50,\n",
+        " 77,\n",
+        " 91,\n",
+        " 8,\n",
+        " 49,\n",
+        " 49,\n",
+        " 99,\n",
+        " 40,\n",
+        " 17,\n",
+        " 81,\n",
+        " 18,\n",
+        " 57,\n",
+        " 60,\n",
+        " 87,\n",
+        " 17,\n",
+        " 40,\n",
+        " 98,\n",
+        " 43,\n",
+        " 69,\n",
+        " 48,\n",
+        " 4,\n",
+        " 56,\n",
+        " 62,\n",
+        " 0,\n",
+        " 81,\n",
+        " 49,\n",
+        " 31,\n",
+        " 73,\n",
+        " 55,\n",
+        " 79,\n",
+        " 14,\n",
+        " 29,\n",
+        " 93,\n",
+        " 71,\n",
+        " 40,\n",
+        " 67,\n",
+        " 53,\n",
+        " 88,\n",
+        " 30,\n",
+        " 3,\n",
+        " 49,\n",
+        " 13,\n",
+        " 36,\n",
+        " 65,\n",
+        " 52,\n",
+        " 70,\n",
+        " 95,\n",
+        " 23,\n",
+        " 4,\n",
+        " 60,\n",
+        " 11,\n",
+        " 42,\n",
+        " 69,\n",
+        " 24,\n",
+        " 68,\n",
+        " 56,\n",
+        " 1,\n",
+        " 32,\n",
+        " 56,\n",
+        " 71,\n",
+        " 37,\n",
+        " 2,\n",
+        " 36,\n",
+        " 91,\n",
+        " 22,\n",
+        " 31,\n",
+        " 16,\n",
+        " 71,\n",
+        " 51,\n",
+        " 67,\n",
+        " 63,\n",
+        " 89,\n",
+        " 41,\n",
+        " 92,\n",
+        " 36,\n",
+        " 54,\n",
+        " 22,\n",
+        " 40,\n",
+        " 40,\n",
+        " 28,\n",
+        " 66,\n",
+        " 33,\n",
+        " 13,\n",
+        " 80,\n",
+        " 24,\n",
+        " 47,\n",
+        " 32,\n",
+        " 60,\n",
+        " 99,\n",
+        " 3,\n",
+        " 45,\n",
+        " 2,\n",
+        " 44,\n",
+        " 75,\n",
+        " 33,\n",
+        " 53,\n",
+        " 78,\n",
+        " 36,\n",
+        " 84,\n",
+        " 20,\n",
+        " 35,\n",
+        " 17,\n",
+        " 12,\n",
+        " 50,\n",
+        " 32,\n",
+        " 98,\n",
+        " 81,\n",
+        " 28,\n",
+        " 64,\n",
+        " 23,\n",
+        " 67,\n",
+        " 10,\n",
+        " 26,\n",
+        " 38,\n",
+        " 40,\n",
+        " 67,\n",
+        " 59,\n",
+        " 54,\n",
+        " 70,\n",
+        " 66,\n",
+        " 18,\n",
+        " 38,\n",
+        " 64,\n",
+        " 70,\n",
+        " 67,\n",
+        " 26,\n",
+        " 20,\n",
+        " 68,\n",
+        " 2,\n",
+        " 62,\n",
+        " 12,\n",
+        " 20,\n",
+        " 95,\n",
+        " 63,\n",
+        " 94,\n",
+        " 39,\n",
+        " 63,\n",
+        " 8,\n",
+        " 40,\n",
+        " 91,\n",
+        " 66,\n",
         " 49,\n",
         " 94,\n",
         " 21,\n",
        ]
       }
      ],
-     "prompt_number": 21
+     "prompt_number": 28
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "g1[2][4]"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 32,
+       "text": [
+        "55"
+       ]
+      }
+     ],
+     "prompt_number": 32
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "g1 = []\n",
+      "for rowstart in range(0, ROWS * COLUMNS, COLUMNS):\n",
+      "    g1.append(grid_nums[rowstart:rowstart+COLUMNS])\n",
+      "g1"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 29,
+       "text": [
+        "[[8, 2, 22, 97, 38, 15, 0, 40, 0, 75, 4, 5, 7, 78, 52, 12, 50, 77, 91, 8],\n",
+        " [49,\n",
+        "  49,\n",
+        "  99,\n",
+        "  40,\n",
+        "  17,\n",
+        "  81,\n",
+        "  18,\n",
+        "  57,\n",
+        "  60,\n",
+        "  87,\n",
+        "  17,\n",
+        "  40,\n",
+        "  98,\n",
+        "  43,\n",
+        "  69,\n",
+        "  48,\n",
+        "  4,\n",
+        "  56,\n",
+        "  62,\n",
+        "  0],\n",
+        " [81,\n",
+        "  49,\n",
+        "  31,\n",
+        "  73,\n",
+        "  55,\n",
+        "  79,\n",
+        "  14,\n",
+        "  29,\n",
+        "  93,\n",
+        "  71,\n",
+        "  40,\n",
+        "  67,\n",
+        "  53,\n",
+        "  88,\n",
+        "  30,\n",
+        "  3,\n",
+        "  49,\n",
+        "  13,\n",
+        "  36,\n",
+        "  65],\n",
+        " [52, 70, 95, 23, 4, 60, 11, 42, 69, 24, 68, 56, 1, 32, 56, 71, 37, 2, 36, 91],\n",
+        " [22,\n",
+        "  31,\n",
+        "  16,\n",
+        "  71,\n",
+        "  51,\n",
+        "  67,\n",
+        "  63,\n",
+        "  89,\n",
+        "  41,\n",
+        "  92,\n",
+        "  36,\n",
+        "  54,\n",
+        "  22,\n",
+        "  40,\n",
+        "  40,\n",
+        "  28,\n",
+        "  66,\n",
+        "  33,\n",
+        "  13,\n",
+        "  80],\n",
+        " [24,\n",
+        "  47,\n",
+        "  32,\n",
+        "  60,\n",
+        "  99,\n",
+        "  3,\n",
+        "  45,\n",
+        "  2,\n",
+        "  44,\n",
+        "  75,\n",
+        "  33,\n",
+        "  53,\n",
+        "  78,\n",
+        "  36,\n",
+        "  84,\n",
+        "  20,\n",
+        "  35,\n",
+        "  17,\n",
+        "  12,\n",
+        "  50],\n",
+        " [32,\n",
+        "  98,\n",
+        "  81,\n",
+        "  28,\n",
+        "  64,\n",
+        "  23,\n",
+        "  67,\n",
+        "  10,\n",
+        "  26,\n",
+        "  38,\n",
+        "  40,\n",
+        "  67,\n",
+        "  59,\n",
+        "  54,\n",
+        "  70,\n",
+        "  66,\n",
+        "  18,\n",
+        "  38,\n",
+        "  64,\n",
+        "  70],\n",
+        " [67,\n",
+        "  26,\n",
+        "  20,\n",
+        "  68,\n",
+        "  2,\n",
+        "  62,\n",
+        "  12,\n",
+        "  20,\n",
+        "  95,\n",
+        "  63,\n",
+        "  94,\n",
+        "  39,\n",
+        "  63,\n",
+        "  8,\n",
+        "  40,\n",
+        "  91,\n",
+        "  66,\n",
+        "  49,\n",
+        "  94,\n",
+        "  21],\n",
+        " [24,\n",
+        "  55,\n",
+        "  58,\n",
+        "  5,\n",
+        "  66,\n",
+        "  73,\n",
+        "  99,\n",
+        "  26,\n",
+        "  97,\n",
+        "  17,\n",
+        "  78,\n",
+        "  78,\n",
+        "  96,\n",
+        "  83,\n",
+        "  14,\n",
+        "  88,\n",
+        "  34,\n",
+        "  89,\n",
+        "  63,\n",
+        "  72],\n",
+        " [21, 36, 23, 9, 75, 0, 76, 44, 20, 45, 35, 14, 0, 61, 33, 97, 34, 31, 33, 95],\n",
+        " [78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 3, 80, 4, 62, 16, 14, 9, 53, 56, 92],\n",
+        " [16,\n",
+        "  39,\n",
+        "  5,\n",
+        "  42,\n",
+        "  96,\n",
+        "  35,\n",
+        "  31,\n",
+        "  47,\n",
+        "  55,\n",
+        "  58,\n",
+        "  88,\n",
+        "  24,\n",
+        "  0,\n",
+        "  17,\n",
+        "  54,\n",
+        "  24,\n",
+        "  36,\n",
+        "  29,\n",
+        "  85,\n",
+        "  57],\n",
+        " [86, 56, 0, 48, 35, 71, 89, 7, 5, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58],\n",
+        " [19,\n",
+        "  80,\n",
+        "  81,\n",
+        "  68,\n",
+        "  5,\n",
+        "  94,\n",
+        "  47,\n",
+        "  69,\n",
+        "  28,\n",
+        "  73,\n",
+        "  92,\n",
+        "  13,\n",
+        "  86,\n",
+        "  52,\n",
+        "  17,\n",
+        "  77,\n",
+        "  4,\n",
+        "  89,\n",
+        "  55,\n",
+        "  40],\n",
+        " [4, 52, 8, 83, 97, 35, 99, 16, 7, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66],\n",
+        " [88,\n",
+        "  36,\n",
+        "  68,\n",
+        "  87,\n",
+        "  57,\n",
+        "  62,\n",
+        "  20,\n",
+        "  72,\n",
+        "  3,\n",
+        "  46,\n",
+        "  33,\n",
+        "  67,\n",
+        "  46,\n",
+        "  55,\n",
+        "  12,\n",
+        "  32,\n",
+        "  63,\n",
+        "  93,\n",
+        "  53,\n",
+        "  69],\n",
+        " [4,\n",
+        "  42,\n",
+        "  16,\n",
+        "  73,\n",
+        "  38,\n",
+        "  25,\n",
+        "  39,\n",
+        "  11,\n",
+        "  24,\n",
+        "  94,\n",
+        "  72,\n",
+        "  18,\n",
+        "  8,\n",
+        "  46,\n",
+        "  29,\n",
+        "  32,\n",
+        "  40,\n",
+        "  62,\n",
+        "  76,\n",
+        "  36],\n",
+        " [20,\n",
+        "  69,\n",
+        "  36,\n",
+        "  41,\n",
+        "  72,\n",
+        "  30,\n",
+        "  23,\n",
+        "  88,\n",
+        "  34,\n",
+        "  62,\n",
+        "  99,\n",
+        "  69,\n",
+        "  82,\n",
+        "  67,\n",
+        "  59,\n",
+        "  85,\n",
+        "  74,\n",
+        "  4,\n",
+        "  36,\n",
+        "  16],\n",
+        " [20,\n",
+        "  73,\n",
+        "  35,\n",
+        "  29,\n",
+        "  78,\n",
+        "  31,\n",
+        "  90,\n",
+        "  1,\n",
+        "  74,\n",
+        "  31,\n",
+        "  49,\n",
+        "  71,\n",
+        "  48,\n",
+        "  86,\n",
+        "  81,\n",
+        "  16,\n",
+        "  23,\n",
+        "  57,\n",
+        "  5,\n",
+        "  54],\n",
+        " [1,\n",
+        "  70,\n",
+        "  54,\n",
+        "  71,\n",
+        "  83,\n",
+        "  51,\n",
+        "  54,\n",
+        "  69,\n",
+        "  16,\n",
+        "  92,\n",
+        "  33,\n",
+        "  48,\n",
+        "  61,\n",
+        "  43,\n",
+        "  52,\n",
+        "  1,\n",
+        "  89,\n",
+        "  19,\n",
+        "  67,\n",
+        "  48]]"
+       ]
+      }
+     ],
+     "prompt_number": 29
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "g3 = [grid_nums[rowstart:rowstart+COLUMNS] \n",
+      "      for rowstart in range(0, ROWS * COLUMNS, COLUMNS)]\n",
+      "g3"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 45,
+       "text": [
+        "[[8, 2, 22, 97, 38, 15, 0, 40, 0, 75, 4, 5, 7, 78, 52, 12, 50, 77, 91, 8],\n",
+        " [49,\n",
+        "  49,\n",
+        "  99,\n",
+        "  40,\n",
+        "  17,\n",
+        "  81,\n",
+        "  18,\n",
+        "  57,\n",
+        "  60,\n",
+        "  87,\n",
+        "  17,\n",
+        "  40,\n",
+        "  98,\n",
+        "  43,\n",
+        "  69,\n",
+        "  48,\n",
+        "  4,\n",
+        "  56,\n",
+        "  62,\n",
+        "  0],\n",
+        " [81,\n",
+        "  49,\n",
+        "  31,\n",
+        "  73,\n",
+        "  55,\n",
+        "  79,\n",
+        "  14,\n",
+        "  29,\n",
+        "  93,\n",
+        "  71,\n",
+        "  40,\n",
+        "  67,\n",
+        "  53,\n",
+        "  88,\n",
+        "  30,\n",
+        "  3,\n",
+        "  49,\n",
+        "  13,\n",
+        "  36,\n",
+        "  65],\n",
+        " [52, 70, 95, 23, 4, 60, 11, 42, 69, 24, 68, 56, 1, 32, 56, 71, 37, 2, 36, 91],\n",
+        " [22,\n",
+        "  31,\n",
+        "  16,\n",
+        "  71,\n",
+        "  51,\n",
+        "  67,\n",
+        "  63,\n",
+        "  89,\n",
+        "  41,\n",
+        "  92,\n",
+        "  36,\n",
+        "  54,\n",
+        "  22,\n",
+        "  40,\n",
+        "  40,\n",
+        "  28,\n",
+        "  66,\n",
+        "  33,\n",
+        "  13,\n",
+        "  80],\n",
+        " [24,\n",
+        "  47,\n",
+        "  32,\n",
+        "  60,\n",
+        "  99,\n",
+        "  3,\n",
+        "  45,\n",
+        "  2,\n",
+        "  44,\n",
+        "  75,\n",
+        "  33,\n",
+        "  53,\n",
+        "  78,\n",
+        "  36,\n",
+        "  84,\n",
+        "  20,\n",
+        "  35,\n",
+        "  17,\n",
+        "  12,\n",
+        "  50],\n",
+        " [32,\n",
+        "  98,\n",
+        "  81,\n",
+        "  28,\n",
+        "  64,\n",
+        "  23,\n",
+        "  67,\n",
+        "  10,\n",
+        "  26,\n",
+        "  38,\n",
+        "  40,\n",
+        "  67,\n",
+        "  59,\n",
+        "  54,\n",
+        "  70,\n",
+        "  66,\n",
+        "  18,\n",
+        "  38,\n",
+        "  64,\n",
+        "  70],\n",
+        " [67,\n",
+        "  26,\n",
+        "  20,\n",
+        "  68,\n",
+        "  2,\n",
+        "  62,\n",
+        "  12,\n",
+        "  20,\n",
+        "  95,\n",
+        "  63,\n",
+        "  94,\n",
+        "  39,\n",
+        "  63,\n",
+        "  8,\n",
+        "  40,\n",
+        "  91,\n",
+        "  66,\n",
+        "  49,\n",
+        "  94,\n",
+        "  21],\n",
+        " [24,\n",
+        "  55,\n",
+        "  58,\n",
+        "  5,\n",
+        "  66,\n",
+        "  73,\n",
+        "  99,\n",
+        "  26,\n",
+        "  97,\n",
+        "  17,\n",
+        "  78,\n",
+        "  78,\n",
+        "  96,\n",
+        "  83,\n",
+        "  14,\n",
+        "  88,\n",
+        "  34,\n",
+        "  89,\n",
+        "  63,\n",
+        "  72],\n",
+        " [21, 36, 23, 9, 75, 0, 76, 44, 20, 45, 35, 14, 0, 61, 33, 97, 34, 31, 33, 95],\n",
+        " [78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 3, 80, 4, 62, 16, 14, 9, 53, 56, 92],\n",
+        " [16,\n",
+        "  39,\n",
+        "  5,\n",
+        "  42,\n",
+        "  96,\n",
+        "  35,\n",
+        "  31,\n",
+        "  47,\n",
+        "  55,\n",
+        "  58,\n",
+        "  88,\n",
+        "  24,\n",
+        "  0,\n",
+        "  17,\n",
+        "  54,\n",
+        "  24,\n",
+        "  36,\n",
+        "  29,\n",
+        "  85,\n",
+        "  57],\n",
+        " [86, 56, 0, 48, 35, 71, 89, 7, 5, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58],\n",
+        " [19,\n",
+        "  80,\n",
+        "  81,\n",
+        "  68,\n",
+        "  5,\n",
+        "  94,\n",
+        "  47,\n",
+        "  69,\n",
+        "  28,\n",
+        "  73,\n",
+        "  92,\n",
+        "  13,\n",
+        "  86,\n",
+        "  52,\n",
+        "  17,\n",
+        "  77,\n",
+        "  4,\n",
+        "  89,\n",
+        "  55,\n",
+        "  40],\n",
+        " [4, 52, 8, 83, 97, 35, 99, 16, 7, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66],\n",
+        " [88,\n",
+        "  36,\n",
+        "  68,\n",
+        "  87,\n",
+        "  57,\n",
+        "  62,\n",
+        "  20,\n",
+        "  72,\n",
+        "  3,\n",
+        "  46,\n",
+        "  33,\n",
+        "  67,\n",
+        "  46,\n",
+        "  55,\n",
+        "  12,\n",
+        "  32,\n",
+        "  63,\n",
+        "  93,\n",
+        "  53,\n",
+        "  69],\n",
+        " [4,\n",
+        "  42,\n",
+        "  16,\n",
+        "  73,\n",
+        "  38,\n",
+        "  25,\n",
+        "  39,\n",
+        "  11,\n",
+        "  24,\n",
+        "  94,\n",
+        "  72,\n",
+        "  18,\n",
+        "  8,\n",
+        "  46,\n",
+        "  29,\n",
+        "  32,\n",
+        "  40,\n",
+        "  62,\n",
+        "  76,\n",
+        "  36],\n",
+        " [20,\n",
+        "  69,\n",
+        "  36,\n",
+        "  41,\n",
+        "  72,\n",
+        "  30,\n",
+        "  23,\n",
+        "  88,\n",
+        "  34,\n",
+        "  62,\n",
+        "  99,\n",
+        "  69,\n",
+        "  82,\n",
+        "  67,\n",
+        "  59,\n",
+        "  85,\n",
+        "  74,\n",
+        "  4,\n",
+        "  36,\n",
+        "  16],\n",
+        " [20,\n",
+        "  73,\n",
+        "  35,\n",
+        "  29,\n",
+        "  78,\n",
+        "  31,\n",
+        "  90,\n",
+        "  1,\n",
+        "  74,\n",
+        "  31,\n",
+        "  49,\n",
+        "  71,\n",
+        "  48,\n",
+        "  86,\n",
+        "  81,\n",
+        "  16,\n",
+        "  23,\n",
+        "  57,\n",
+        "  5,\n",
+        "  54],\n",
+        " [1,\n",
+        "  70,\n",
+        "  54,\n",
+        "  71,\n",
+        "  83,\n",
+        "  51,\n",
+        "  54,\n",
+        "  69,\n",
+        "  16,\n",
+        "  92,\n",
+        "  33,\n",
+        "  48,\n",
+        "  61,\n",
+        "  43,\n",
+        "  52,\n",
+        "  1,\n",
+        "  89,\n",
+        "  19,\n",
+        "  67,\n",
+        "  48]]"
+       ]
+      }
+     ],
+     "prompt_number": 45
     },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
-      "g1 = []\n",
+      "g1=[]\n",
       "for rowstart in range(0, ROWS * COLUMNS, COLUMNS):\n",
       "    g1.append(grid_nums[rowstart:rowstart+COLUMNS])\n",
       "g1"
      "language": "python",
      "metadata": {},
      "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "[8, 2, 22, 97, 38, 15, 0, 40, 0, 75, 4, 5, 7, 78, 52, 12, 50, 77, 91, 8]\n",
+        "[49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 4, 56, 62, 0]\n",
+        "[81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 3, 49, 13, 36, 65]\n",
+        "[52, 70, 95, 23, 4, 60, 11, 42, 69, 24, 68, 56, 1, 32, 56, 71, 37, 2, 36, 91]\n",
+        "[22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80]\n",
+        "[24, 47, 32, 60, 99, 3, 45, 2, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50]\n",
+        "[32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70]\n",
+        "[67, 26, 20, 68, 2, 62, 12, 20, 95, 63, 94, 39, 63, 8, 40, 91, 66, 49, 94, 21]\n",
+        "[24, 55, 58, 5, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72]\n",
+        "[21, 36, 23, 9, 75, 0, 76, 44, 20, 45, 35, 14, 0, 61, 33, 97, 34, 31, 33, 95]\n",
+        "[78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 3, 80, 4, 62, 16, 14, 9, 53, 56, 92]\n",
+        "[16, 39, 5, 42, 96, 35, 31, 47, 55, 58, 88, 24, 0, 17, 54, 24, 36, 29, 85, 57]\n",
+        "[86, 56, 0, 48, 35, 71, 89, 7, 5, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58]\n",
+        "[19, 80, 81, 68, 5, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 4, 89, 55, 40]\n",
+        "[4, 52, 8, 83, 97, 35, 99, 16, 7, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66]\n",
+        "[88, 36, 68, 87, 57, 62, 20, 72, 3, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69]\n",
+        "[4, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 8, 46, 29, 32, 40, 62, 76, 36]\n",
+        "[20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 4, 36, 16]\n",
+        "[20, 73, 35, 29, 78, 31, 90, 1, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 5, 54]\n",
+        "[1, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 1, 89, 19, 67, 48]\n"
+       ]
+      },
       {
        "metadata": {},
        "output_type": "pyout",
-       "prompt_number": 24,
+       "prompt_number": 39,
        "text": [
         "[[8, 2, 22, 97, 38, 15, 0, 40, 0, 75, 4, 5, 7, 78, 52, 12, 50, 77, 91, 8],\n",
         " [49,\n",
        ]
       }
      ],
-     "prompt_number": 24
+     "prompt_number": 39
     },
     {
      "cell_type": "code",
      ],
      "prompt_number": 76
     },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import collections\n",
+      "import string\n",
+      "collections.Counter(l for l in open('sherlock-holmes.txt').read()\n",
+      "                    if l in string.ascii_letters)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 51,
+       "text": [
+        "Counter({'e': 52876, 't': 37842, 'a': 34376, 'o': 33200, 'n': 28378, 'h': 27803, 's': 26432, 'i': 26366, 'r': 24304, 'd': 18349, 'l': 16854, 'u': 13070, 'm': 11055, 'w': 10508, 'c': 10172, 'y': 8976, 'f': 8785, 'g': 7733, 'p': 6652, 'b': 5883, 'v': 4367, 'I': 3774, 'k': 3465, 'H': 1244, 'T': 1139, 'S': 762, 'A': 761, 'W': 758, 'M': 732, 'x': 541, 'B': 479, 'Y': 455, 'q': 406, 'j': 338, 'C': 327, 'O': 312, 'N': 304, 'L': 291, 'E': 235, 'D': 214, 'R': 204, 'F': 190, 'P': 183, 'G': 154, 'z': 147, 'J': 114, 'V': 85, 'K': 78, 'U': 46, 'Q': 20, 'X': 8, 'Z': 2})"
+       ]
+      }
+     ],
+     "prompt_number": 51
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import collections\n",
+      "import string\n",
+      "c = collections.Counter(l.lower() for l in open('sherlock-holmes.txt').read()\n",
+      "                    if l in string.ascii_letters)\n",
+      "[(l, c[l]) for l in sorted(c)]"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 50,
+       "text": [
+        "[('a', 35137),\n",
+        " ('b', 6362),\n",
+        " ('c', 10499),\n",
+        " ('d', 18563),\n",
+        " ('e', 53111),\n",
+        " ('f', 8975),\n",
+        " ('g', 7887),\n",
+        " ('h', 29047),\n",
+        " ('i', 30140),\n",
+        " ('j', 452),\n",
+        " ('k', 3543),\n",
+        " ('l', 17145),\n",
+        " ('m', 11787),\n",
+        " ('n', 28682),\n",
+        " ('o', 33512),\n",
+        " ('p', 6835),\n",
+        " ('q', 426),\n",
+        " ('r', 24508),\n",
+        " ('s', 27194),\n",
+        " ('t', 38981),\n",
+        " ('u', 13116),\n",
+        " ('v', 4452),\n",
+        " ('w', 11266),\n",
+        " ('x', 549),\n",
+        " ('y', 9431),\n",
+        " ('z', 149)]"
+       ]
+      }
+     ],
+     "prompt_number": 50
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import random\n",
+      "import collections\n",
+      "import string"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [],
+     "prompt_number": 52
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "def only_lower_case(str):\n",
+      "    ???\n",
+      "    return ???"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": []
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "words = [line.strip() \n",
+      "         for line in open('/usr/share/dict/british-english').readlines()\n",
+      "         if only_lower_case(line)]\n",
+      "words[:20]"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 57,
+       "text": [
+        "['A',\n",
+        " \"A's\",\n",
+        " \"AA's\",\n",
+        " \"AB's\",\n",
+        " \"ABM's\",\n",
+        " \"AC's\",\n",
+        " \"ACTH's\",\n",
+        " \"AI's\",\n",
+        " \"AIDS's\",\n",
+        " \"AM's\",\n",
+        " 'AOL',\n",
+        " \"AOL's\",\n",
+        " \"ASCII's\",\n",
+        " \"ASL's\",\n",
+        " \"ATM's\",\n",
+        " \"ATP's\",\n",
+        " \"AWOL's\",\n",
+        " \"AZ's\",\n",
+        " \"AZT's\",\n",
+        " 'Aachen']"
+       ]
+      }
+     ],
+     "prompt_number": 57
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "string.ascii_letters"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 58,
+       "text": [
+        "'abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ'"
+       ]
+      }
+     ],
+     "prompt_number": 58
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "string.ascii_lowercase"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 60,
+       "text": [
+        "'abcdefghijklmnopqrstuvwxyz'"
+       ]
+      }
+     ],
+     "prompt_number": 60
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "string.ascii_uppercase"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 61,
+       "text": [
+        "'ABCDEFGHIJKLMNOPQRSTUVWXYZ'"
+       ]
+      }
+     ],
+     "prompt_number": 61
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "string.punctuation"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 62,
+       "text": [
+        "'!\"#$%&\\'()*+,-./:;<=>?@[\\\\]^_`{|}~'"
+       ]
+      }
+     ],
+     "prompt_number": 62
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "'b' in string.ascii_lowercase"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 63,
+       "text": [
+        "True"
+       ]
+      }
+     ],
+     "prompt_number": 63
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "'B' in string.ascii_lowercase"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 64,
+       "text": [
+        "False"
+       ]
+      }
+     ],
+     "prompt_number": 64
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "[l for l in 'hello']"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 65,
+       "text": [
+        "['h', 'e', 'l', 'l', 'o']"
+       ]
+      }
+     ],
+     "prompt_number": 65
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "for l in 'hello':\n",
+      "    print(l)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "h\n",
+        "e\n",
+        "l\n",
+        "l\n",
+        "o\n"
+       ]
+      }
+     ],
+     "prompt_number": 66
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "'b' not in string.ascii_lowercase"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 67,
+       "text": [
+        "False"
+       ]
+      }
+     ],
+     "prompt_number": 67
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "'B' not in string.ascii_lowercase"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 68,
+       "text": [
+        "True"
+       ]
+      }
+     ],
+     "prompt_number": 68
+    },
     {
      "cell_type": "code",
      "collapsed": false,
index 3323da422795aefe98923a9d09883cc958948fcc..2f965079bb2de400c451e5eb084890a75f8b804d 100644 (file)
@@ -316,6 +316,11 @@ Turn the Euler 11 grid into:
 
 Do both with explicit iteration, then using only comprehensions.
 
+```python
+grid_nums = [int(n) for n in GRID_STRING.split()]
+```
+
+
 ---
 
 # Solutions with explicit loops