X-Git-Url: https://git.njae.me.uk/?a=blobdiff_plain;f=04-08-amidakuji%2Famidakuji-creation.ipynb;h=65d9751162ae8e913af95c2d7dff399baa088120;hb=2f750972c876ebbb88e1af96be1ce74b4d3558f8;hp=c08756e5067c36c67c1d475de8940a2499f59277;hpb=787b6246ddfd5d1eaa228cdd11c537096362eb2f;p=ou-summer-of-code-2017.git

diff --git a/04-08-amidakuji/amidakuji-creation.ipynb b/04-08-amidakuji/amidakuji-creation.ipynb
index c08756e..65d9751 100644
--- a/04-08-amidakuji/amidakuji-creation.ipynb
+++ b/04-08-amidakuji/amidakuji-creation.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 36,
    "metadata": {
     "collapsed": true
    },
@@ -16,7 +16,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 37,
    "metadata": {
     "collapsed": true
    },
@@ -27,7 +27,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 38,
    "metadata": {
     "collapsed": true
    },
@@ -39,7 +39,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 39,
    "metadata": {
     "collapsed": true
    },
@@ -53,7 +53,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 40,
    "metadata": {
     "collapsed": true
    },
@@ -76,47 +76,42 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 41,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "{Link(height=2, left=0, right=3),\n",
-       " Link(height=2, left=1, right=7),\n",
-       " Link(height=3, left=1, right=8),\n",
-       " Link(height=9, left=6, right=9),\n",
-       " Link(height=15, left=0, right=4),\n",
-       " Link(height=20, left=0, right=8),\n",
-       " Link(height=23, left=3, right=4),\n",
-       " Link(height=24, left=3, right=6),\n",
-       " Link(height=28, left=1, right=8),\n",
-       " Link(height=28, left=5, right=6),\n",
-       " Link(height=32, left=1, right=7),\n",
-       " Link(height=34, left=1, right=9),\n",
-       " Link(height=36, left=0, right=4),\n",
-       " Link(height=38, left=5, right=6),\n",
-       " Link(height=40, left=0, right=2),\n",
-       " Link(height=41, left=3, right=7),\n",
-       " Link(height=43, left=2, right=4),\n",
-       " Link(height=43, left=6, right=8),\n",
-       " Link(height=44, left=0, right=6),\n",
-       " Link(height=46, left=7, right=8)}"
+       "{Link(height=4, left=0, right=3),\n",
+       " Link(height=8, left=1, right=5),\n",
+       " Link(height=16, left=0, right=4),\n",
+       " Link(height=17, left=1, right=5),\n",
+       " Link(height=18, left=3, right=5),\n",
+       " Link(height=20, left=0, right=1),\n",
+       " Link(height=25, left=0, right=3),\n",
+       " Link(height=30, left=1, right=4),\n",
+       " Link(height=33, left=0, right=4),\n",
+       " Link(height=34, left=4, right=5),\n",
+       " Link(height=35, left=0, right=3),\n",
+       " Link(height=36, left=1, right=4),\n",
+       " Link(height=37, left=2, right=5),\n",
+       " Link(height=45, left=4, right=5),\n",
+       " Link(height=46, left=2, right=5)}"
       ]
      },
-     "execution_count": 6,
+     "execution_count": 41,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "net = make_net(20)\n",
+    "net = make_net(15, lines=6)\n",
     "net"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 42,
    "metadata": {
     "collapsed": true
    },
@@ -135,7 +130,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 43,
    "metadata": {},
    "outputs": [
     {
@@ -144,7 +139,7 @@
        "3"
       ]
      },
-     "execution_count": 8,
+     "execution_count": 43,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -155,7 +150,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 44,
    "metadata": {
     "collapsed": true
    },
@@ -174,7 +169,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 45,
    "metadata": {
     "collapsed": true
    },
@@ -188,7 +183,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 46,
    "metadata": {
     "collapsed": true
    },
@@ -209,25 +204,25 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 47,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "10000 loops, best of 3: 45.7 µs per loop\n"
+      "10000 loops, best of 3: 39.2 µs per loop\n"
      ]
     }
    ],
    "source": [
     "%%timeit\n",
-    "follow_many('abcdefghij', net)"
+    "follow_many('abcdef', net)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 48,
    "metadata": {
     "collapsed": true
    },
@@ -239,7 +234,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 104,
+   "execution_count": 49,
    "metadata": {
     "collapsed": true
    },
@@ -259,16 +254,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 105,
+   "execution_count": 50,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'(0, 3), (1, 7), (1, 8), (6, 9), (0, 4), (0, 8), (3, 4), (3, 6), (1, 8), (5, 6), (1, 7), (1, 9), (0, 4), (5, 6), (0, 2), (3, 7), (2, 4), (6, 8), (0, 6), (7, 8)'"
+       "'(0, 3), (1, 5), (0, 4), (1, 5), (3, 5), (0, 1), (0, 3), (1, 4), (0, 4), (4, 5), (0, 3), (1, 4), (2, 5), (4, 5), (2, 5)'"
       ]
      },
-     "execution_count": 105,
+     "execution_count": 50,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -279,16 +274,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 106,
+   "execution_count": 51,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'(1, 7), (0, 3), (1, 8), (6, 9), (0, 4), (0, 8), (3, 4), (3, 6), (5, 6), (1, 8), (1, 7), (1, 9), (0, 4), (5, 6), (0, 2), (3, 7), (6, 8), (2, 4), (0, 6), (7, 8)'"
+       "'(0, 3), (1, 5), (0, 4), (1, 5), (3, 5), (0, 1), (0, 3), (1, 4), (0, 4), (4, 5), (0, 3), (1, 4), (2, 5), (4, 5), (2, 5)'"
       ]
      },
-     "execution_count": 106,
+     "execution_count": 51,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -299,16 +294,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 110,
+   "execution_count": 52,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'(0, 3) : (1, 7) : (1, 8) : (6, 9) : (0, 4) : (0, 8) : (3, 4) : (3, 6) : (1, 8) : (5, 6) : (1, 7) : (1, 9) : (0, 4) : (5, 6) : (0, 2) : (3, 7) : (2, 4) : (6, 8) : (0, 6) : (7, 8)'"
+       "'(0, 3) : (1, 5) : (0, 4) : (1, 5) : (3, 5) : (0, 1) : (0, 3) : (1, 4) : (0, 4) : (4, 5) : (0, 3) : (1, 4) : (2, 5) : (4, 5) : (2, 5)'"
       ]
      },
-     "execution_count": 110,
+     "execution_count": 52,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -319,16 +314,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 111,
+   "execution_count": 53,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'(0, 3)\\n(1, 7)\\n(1, 8)\\n(6, 9)\\n(0, 4)\\n(0, 8)\\n(3, 4)\\n(3, 6)\\n(1, 8)\\n(5, 6)\\n(1, 7)\\n(1, 9)\\n(0, 4)\\n(5, 6)\\n(0, 2)\\n(3, 7)\\n(2, 4)\\n(6, 8)\\n(0, 6)\\n(7, 8)'"
+       "'(0, 3)\\n(1, 5)\\n(0, 4)\\n(1, 5)\\n(3, 5)\\n(0, 1)\\n(0, 3)\\n(1, 4)\\n(0, 4)\\n(4, 5)\\n(0, 3)\\n(1, 4)\\n(2, 5)\\n(4, 5)\\n(2, 5)'"
       ]
      },
-     "execution_count": 111,
+     "execution_count": 53,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -339,7 +334,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 112,
+   "execution_count": 54,
    "metadata": {
     "scrolled": true
    },
@@ -349,25 +344,20 @@
      "output_type": "stream",
      "text": [
       "(0, 3)\n",
-      "(1, 7)\n",
-      "(1, 8)\n",
-      "(6, 9)\n",
+      "(1, 5)\n",
       "(0, 4)\n",
-      "(0, 8)\n",
-      "(3, 4)\n",
-      "(3, 6)\n",
-      "(1, 8)\n",
-      "(5, 6)\n",
-      "(1, 7)\n",
-      "(1, 9)\n",
+      "(1, 5)\n",
+      "(3, 5)\n",
+      "(0, 1)\n",
+      "(0, 3)\n",
+      "(1, 4)\n",
       "(0, 4)\n",
-      "(5, 6)\n",
-      "(0, 2)\n",
-      "(3, 7)\n",
-      "(2, 4)\n",
-      "(6, 8)\n",
-      "(0, 6)\n",
-      "(7, 8)\n"
+      "(4, 5)\n",
+      "(0, 3)\n",
+      "(1, 4)\n",
+      "(2, 5)\n",
+      "(4, 5)\n",
+      "(2, 5)\n"
      ]
     }
    ],
@@ -377,16 +367,25 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 108,
+   "execution_count": 55,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# open('04-small.txt', 'w').write(show_net(net))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 56,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'(0, 3), (1, 7), (1, 8), (6, 9), (0, 4), (0, 8), (3, 4), (3, 6), (1, 8), (5, 6), (1, 7), (1, 9), (0, 4), (5, 6), (0, 2), (3, 7), (2, 4), (6, 8), (0, 6), (7, 8)'"
+       "'(0, 3), (1, 5), (0, 4), (1, 5), (3, 5), (0, 1), (0, 3), (1, 4), (0, 4), (4, 5), (0, 3), (1, 4), (2, 5), (4, 5), (2, 5)'"
       ]
      },
-     "execution_count": 108,
+     "execution_count": 56,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -397,7 +396,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 57,
    "metadata": {},
    "outputs": [
     {
@@ -406,7 +405,7 @@
        "[]"
       ]
      },
-     "execution_count": 17,
+     "execution_count": 57,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -418,7 +417,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 58,
    "metadata": {
     "collapsed": true
    },
@@ -429,7 +428,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": 59,
    "metadata": {
     "collapsed": true
    },
@@ -441,7 +440,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
+   "execution_count": 60,
    "metadata": {
     "collapsed": true
    },
@@ -453,35 +452,41 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": 61,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "net = read_net('(1, 5), (2, 4), (0, 2), (0, 4), (0, 1), (0, 2), (1, 5), (0, 3), (1, 2), (4, 5), (0, 5), (3, 5), (1, 4), (0, 1), (2, 3)')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 62,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "[Link(height=0, left=0, right=3),\n",
-       " Link(height=1, left=1, right=7),\n",
-       " Link(height=2, left=1, right=8),\n",
-       " Link(height=3, left=6, right=9),\n",
-       " Link(height=4, left=0, right=4),\n",
-       " Link(height=5, left=0, right=8),\n",
-       " Link(height=6, left=3, right=4),\n",
-       " Link(height=7, left=3, right=6),\n",
-       " Link(height=8, left=1, right=8),\n",
-       " Link(height=9, left=5, right=6),\n",
-       " Link(height=10, left=1, right=7),\n",
-       " Link(height=11, left=1, right=9),\n",
-       " Link(height=12, left=0, right=4),\n",
-       " Link(height=13, left=5, right=6),\n",
-       " Link(height=14, left=0, right=2),\n",
-       " Link(height=15, left=3, right=7),\n",
-       " Link(height=16, left=2, right=4),\n",
-       " Link(height=17, left=6, right=8),\n",
-       " Link(height=18, left=0, right=6),\n",
-       " Link(height=19, left=7, right=8)]"
+       "[Link(height=0, left=1, right=5),\n",
+       " Link(height=1, left=2, right=4),\n",
+       " Link(height=2, left=0, right=2),\n",
+       " Link(height=3, left=0, right=4),\n",
+       " Link(height=4, left=0, right=1),\n",
+       " Link(height=5, left=0, right=2),\n",
+       " Link(height=6, left=1, right=5),\n",
+       " Link(height=7, left=0, right=3),\n",
+       " Link(height=8, left=1, right=2),\n",
+       " Link(height=9, left=4, right=5),\n",
+       " Link(height=10, left=0, right=5),\n",
+       " Link(height=11, left=3, right=5),\n",
+       " Link(height=12, left=1, right=4),\n",
+       " Link(height=13, left=0, right=1),\n",
+       " Link(height=14, left=2, right=3)]"
       ]
      },
-     "execution_count": 21,
+     "execution_count": 62,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -492,35 +497,30 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
+   "execution_count": 63,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "[Link(height=0, left=0, right=3),\n",
-       " Link(height=0, left=1, right=7),\n",
-       " Link(height=0, left=6, right=9),\n",
-       " Link(height=1, left=0, right=4),\n",
-       " Link(height=1, left=1, right=8),\n",
-       " Link(height=2, left=0, right=8),\n",
-       " Link(height=2, left=3, right=4),\n",
-       " Link(height=3, left=0, right=4),\n",
-       " Link(height=3, left=1, right=8),\n",
-       " Link(height=3, left=3, right=6),\n",
+       "[Link(height=0, left=1, right=5),\n",
+       " Link(height=0, left=2, right=4),\n",
+       " Link(height=1, left=0, right=2),\n",
+       " Link(height=2, left=0, right=4),\n",
+       " Link(height=3, left=0, right=1),\n",
        " Link(height=4, left=0, right=2),\n",
-       " Link(height=4, left=1, right=7),\n",
-       " Link(height=4, left=5, right=6),\n",
-       " Link(height=5, left=1, right=9),\n",
-       " Link(height=5, left=2, right=4),\n",
-       " Link(height=5, left=3, right=7),\n",
-       " Link(height=5, left=5, right=6),\n",
-       " Link(height=6, left=6, right=8),\n",
-       " Link(height=7, left=0, right=6),\n",
-       " Link(height=7, left=7, right=8)]"
+       " Link(height=4, left=1, right=5),\n",
+       " Link(height=5, left=0, right=3),\n",
+       " Link(height=5, left=1, right=2),\n",
+       " Link(height=5, left=4, right=5),\n",
+       " Link(height=6, left=0, right=5),\n",
+       " Link(height=6, left=1, right=4),\n",
+       " Link(height=7, left=0, right=1),\n",
+       " Link(height=7, left=3, right=5),\n",
+       " Link(height=8, left=2, right=3)]"
       ]
      },
-     "execution_count": 22,
+     "execution_count": 63,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -531,35 +531,30 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
+   "execution_count": 64,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "[Link(height=0, left=0, right=3),\n",
-       " Link(height=0, left=1, right=7),\n",
-       " Link(height=0, left=6, right=9),\n",
-       " Link(height=1, left=0, right=4),\n",
-       " Link(height=1, left=1, right=8),\n",
-       " Link(height=2, left=0, right=8),\n",
-       " Link(height=2, left=3, right=4),\n",
-       " Link(height=3, left=0, right=4),\n",
-       " Link(height=3, left=1, right=8),\n",
-       " Link(height=3, left=3, right=6),\n",
+       "[Link(height=0, left=1, right=5),\n",
+       " Link(height=0, left=2, right=4),\n",
+       " Link(height=1, left=0, right=2),\n",
+       " Link(height=2, left=0, right=4),\n",
+       " Link(height=3, left=0, right=1),\n",
        " Link(height=4, left=0, right=2),\n",
-       " Link(height=4, left=1, right=7),\n",
-       " Link(height=4, left=5, right=6),\n",
-       " Link(height=5, left=1, right=9),\n",
-       " Link(height=5, left=2, right=4),\n",
-       " Link(height=5, left=3, right=7),\n",
-       " Link(height=5, left=5, right=6),\n",
-       " Link(height=6, left=6, right=8),\n",
-       " Link(height=7, left=0, right=6),\n",
-       " Link(height=7, left=7, right=8)]"
+       " Link(height=4, left=1, right=5),\n",
+       " Link(height=5, left=0, right=3),\n",
+       " Link(height=5, left=1, right=2),\n",
+       " Link(height=5, left=4, right=5),\n",
+       " Link(height=6, left=0, right=5),\n",
+       " Link(height=6, left=1, right=4),\n",
+       " Link(height=7, left=0, right=1),\n",
+       " Link(height=7, left=3, right=5),\n",
+       " Link(height=8, left=2, right=3)]"
       ]
      },
-     "execution_count": 23,
+     "execution_count": 64,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -570,16 +565,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
+   "execution_count": 65,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "(False, True)"
+       "(True, True)"
       ]
      },
-     "execution_count": 24,
+     "execution_count": 65,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -593,7 +588,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 25,
+   "execution_count": 66,
    "metadata": {
     "collapsed": true
    },
@@ -608,7 +603,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 26,
+   "execution_count": 67,
    "metadata": {
     "collapsed": true
    },
@@ -620,16 +615,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 27,
+   "execution_count": 68,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "2224"
+       "2239"
       ]
      },
-     "execution_count": 27,
+     "execution_count": 68,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -640,16 +635,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 28,
+   "execution_count": 69,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "99998"
+       "99989"
       ]
      },
-     "execution_count": 28,
+     "execution_count": 69,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -660,7 +655,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 29,
+   "execution_count": 70,
    "metadata": {},
    "outputs": [
     {
@@ -669,7 +664,7 @@
        "10206"
       ]
      },
-     "execution_count": 29,
+     "execution_count": 70,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -680,16 +675,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 30,
+   "execution_count": 71,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "2224"
+       "2239"
       ]
      },
-     "execution_count": 30,
+     "execution_count": 71,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -700,7 +695,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 31,
+   "execution_count": 72,
    "metadata": {
     "collapsed": true
    },
@@ -711,14 +706,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 32,
+   "execution_count": 73,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "10 loops, best of 3: 23.4 ms per loop\n"
+      "10 loops, best of 3: 25.9 ms per loop\n"
      ]
     }
    ],
@@ -729,7 +724,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 33,
+   "execution_count": 74,
    "metadata": {
     "collapsed": true
    },
@@ -741,7 +736,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 34,
+   "execution_count": 75,
    "metadata": {
     "collapsed": true
    },
@@ -758,7 +753,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 35,
+   "execution_count": 76,
    "metadata": {
     "collapsed": true
    },
@@ -777,14 +772,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 36,
+   "execution_count": 77,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "10 loops, best of 3: 23.5 ms per loop\n"
+      "10 loops, best of 3: 24.1 ms per loop\n"
      ]
     }
    ],
@@ -795,7 +790,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 37,
+   "execution_count": 78,
    "metadata": {
     "collapsed": true
    },
@@ -811,7 +806,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 38,
+   "execution_count": 79,
    "metadata": {
     "collapsed": true
    },
@@ -828,7 +823,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 39,
+   "execution_count": 80,
    "metadata": {
     "collapsed": true
    },
@@ -844,7 +839,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 40,
+   "execution_count": 81,
    "metadata": {
     "collapsed": true
    },
@@ -862,7 +857,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 41,
+   "execution_count": 82,
    "metadata": {},
    "outputs": [
     {
@@ -875,10 +870,10 @@
     {
      "data": {
       "text/plain": [
-       "(10207, 9839)"
+       "(10207, 9813)"
       ]
      },
-     "execution_count": 41,
+     "execution_count": 82,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -891,7 +886,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 42,
+   "execution_count": 83,
    "metadata": {},
    "outputs": [
     {
@@ -900,7 +895,7 @@
        "[]"
       ]
      },
-     "execution_count": 42,
+     "execution_count": 83,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -911,7 +906,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 43,
+   "execution_count": 84,
    "metadata": {
     "collapsed": true
    },
@@ -923,14 +918,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 44,
+   "execution_count": 85,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "1 loop, best of 3: 5.77 s per loop\n"
+      "1 loop, best of 3: 6.08 s per loop\n"
      ]
     }
    ],
@@ -941,7 +936,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 45,
+   "execution_count": 86,
    "metadata": {
     "collapsed": true
    },
@@ -954,7 +949,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 46,
+   "execution_count": 87,
    "metadata": {
     "collapsed": true
    },
@@ -965,7 +960,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 47,
+   "execution_count": 88,
    "metadata": {
     "collapsed": true
    },
@@ -987,7 +982,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 48,
+   "execution_count": 89,
    "metadata": {
     "collapsed": true
    },
@@ -1019,7 +1014,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 49,
+   "execution_count": 90,
    "metadata": {
     "collapsed": true
    },
@@ -1031,8 +1026,10 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 50,
-   "metadata": {},
+   "execution_count": 91,
+   "metadata": {
+    "collapsed": true
+   },
    "outputs": [],
    "source": [
     "def triple_pair_hg(height_groups, debug=False):\n",
@@ -1072,7 +1069,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 51,
+   "execution_count": 92,
    "metadata": {
     "collapsed": true
    },
@@ -1095,7 +1092,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 52,
+   "execution_count": 93,
    "metadata": {
     "collapsed": true
    },
@@ -1117,23 +1114,23 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 53,
+   "execution_count": 94,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "[(Link(height=831, left=8, right=16),\n",
-       "  Link(height=832, left=8, right=25),\n",
-       "  Link(height=833, left=8, right=16),\n",
-       "  Link(height=834, left=8, right=25)),\n",
-       " (Link(height=1657, left=1, right=13),\n",
-       "  Link(height=1658, left=1, right=12),\n",
-       "  Link(height=1659, left=1, right=13),\n",
-       "  Link(height=1660, left=1, right=12))]"
+       "[(Link(height=1126, left=8, right=17),\n",
+       "  Link(height=1127, left=1, right=8),\n",
+       "  Link(height=1128, left=8, right=17),\n",
+       "  Link(height=1129, left=1, right=8)),\n",
+       " (Link(height=1952, left=12, right=25),\n",
+       "  Link(height=1953, left=10, right=12),\n",
+       "  Link(height=1954, left=12, right=25),\n",
+       "  Link(height=1955, left=10, right=12))]"
       ]
      },
-     "execution_count": 53,
+     "execution_count": 94,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1145,14 +1142,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 54,
+   "execution_count": 95,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "10 loops, best of 3: 99.4 ms per loop\n"
+      "10 loops, best of 3: 98.7 ms per loop\n"
      ]
     }
    ],
@@ -1164,7 +1161,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 55,
+   "execution_count": 96,
    "metadata": {
     "collapsed": true
    },
@@ -1182,7 +1179,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 56,
+   "execution_count": 97,
    "metadata": {
     "collapsed": true
    },
@@ -1200,8 +1197,10 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 57,
-   "metadata": {},
+   "execution_count": 98,
+   "metadata": {
+    "collapsed": true
+   },
    "outputs": [],
    "source": [
     "etlnet = eliminate_a_triple_pair(elnet)"
@@ -1209,8 +1208,10 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 58,
-   "metadata": {},
+   "execution_count": 99,
+   "metadata": {
+    "collapsed": true
+   },
    "outputs": [],
    "source": [
     "assert follow_many(string.ascii_lowercase, etlnet) == follow_many(string.ascii_lowercase, elnet)"
@@ -1218,16 +1219,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 59,
+   "execution_count": 100,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "9839\n",
-      "9839\n",
-      "9837\n"
+      "9813\n",
+      "9813\n",
+      "9811\n"
      ]
     }
    ],
@@ -1237,16 +1238,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 60,
+   "execution_count": 101,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "9835"
+       "9809"
       ]
      },
-     "execution_count": 60,
+     "execution_count": 101,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1257,8 +1258,10 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 61,
-   "metadata": {},
+   "execution_count": 102,
+   "metadata": {
+    "collapsed": true
+   },
    "outputs": [],
    "source": [
     "assert follow_many(string.ascii_lowercase, etlnet) == follow_many(string.ascii_lowercase, elnet)"
@@ -1266,16 +1269,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 62,
+   "execution_count": 103,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'buxphgtzqykfawvomcjresnldi'"
+       "'ypetfugkzdsacbvwjohqlnirmx'"
       ]
      },
-     "execution_count": 62,
+     "execution_count": 103,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1286,16 +1289,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 63,
+   "execution_count": 104,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'buxphgtzqykfawvomcjresnldi'"
+       "'ypetfugkzdsacbvwjohqlnirmx'"
       ]
      },
-     "execution_count": 63,
+     "execution_count": 104,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1306,16 +1309,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 64,
+   "execution_count": 105,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'buxphgtzqykfawvomcjresnldi'"
+       "'ypetfugkzdsacbvwjohqlnirmx'"
       ]
      },
-     "execution_count": 64,
+     "execution_count": 105,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1326,16 +1329,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 65,
+   "execution_count": 106,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'buxphgtzqykfawvomcjresnldi'"
+       "'ypetfugkzdsacbvwjohqlnirmx'"
       ]
      },
-     "execution_count": 65,
+     "execution_count": 106,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1346,7 +1349,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 66,
+   "execution_count": 107,
    "metadata": {},
    "outputs": [
     {
@@ -1355,7 +1358,7 @@
        "[]"
       ]
      },
-     "execution_count": 66,
+     "execution_count": 107,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1366,16 +1369,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 67,
+   "execution_count": 108,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "(10207, 9837)"
+       "(10207, 9811)"
       ]
      },
-     "execution_count": 67,
+     "execution_count": 108,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1386,7 +1389,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 68,
+   "execution_count": 109,
    "metadata": {
     "collapsed": true
    },
@@ -1404,8 +1407,10 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 69,
-   "metadata": {},
+   "execution_count": 110,
+   "metadata": {
+    "collapsed": true
+   },
    "outputs": [],
    "source": [
     "simple_lnet = simplify(plnet)"
@@ -1413,7 +1418,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 70,
+   "execution_count": 111,
    "metadata": {},
    "outputs": [
     {
@@ -1422,7 +1427,7 @@
        "True"
       ]
      },
-     "execution_count": 70,
+     "execution_count": 111,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1433,16 +1438,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 71,
+   "execution_count": 112,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'buxphgtzqykfawvomcjresnldi'"
+       "'ypetfugkzdsacbvwjohqlnirmx'"
       ]
      },
-     "execution_count": 71,
+     "execution_count": 112,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1453,16 +1458,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 72,
+   "execution_count": 113,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "'buxphgtzqykfawvomcjresnldi'"
+       "'ypetfugkzdsacbvwjohqlnirmx'"
       ]
      },
-     "execution_count": 72,
+     "execution_count": 113,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1473,16 +1478,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 73,
+   "execution_count": 114,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "9835"
+       "9809"
       ]
      },
-     "execution_count": 73,
+     "execution_count": 114,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1493,7 +1498,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 89,
+   "execution_count": 115,
    "metadata": {
     "collapsed": true
    },
@@ -1518,7 +1523,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 90,
+   "execution_count": 116,
    "metadata": {
     "collapsed": true
    },
@@ -1544,7 +1549,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 76,
+   "execution_count": 117,
    "metadata": {},
    "outputs": [
     {
@@ -1553,7 +1558,7 @@
        "[]"
       ]
      },
-     "execution_count": 76,
+     "execution_count": 117,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1566,7 +1571,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 91,
+   "execution_count": 118,
    "metadata": {
     "scrolled": true
    },
@@ -1577,7 +1582,7 @@
        "[]"
       ]
      },
-     "execution_count": 91,
+     "execution_count": 118,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1593,7 +1598,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 92,
+   "execution_count": 119,
    "metadata": {
     "scrolled": true
    },
@@ -1601,49 +1606,49 @@
     {
      "data": {
       "text/plain": [
-       "[(Link(height=195, left=5, right=10),\n",
-       "  Link(height=197, left=1, right=5),\n",
-       "  Link(height=198, left=5, right=10),\n",
-       "  Link(height=199, left=1, right=5)),\n",
-       " (Link(height=359, left=6, right=16),\n",
-       "  Link(height=360, left=16, right=20),\n",
-       "  Link(height=361, left=6, right=16),\n",
-       "  Link(height=362, left=16, right=20)),\n",
-       " (Link(height=409, left=0, right=9),\n",
-       "  Link(height=410, left=9, right=16),\n",
-       "  Link(height=411, left=0, right=9),\n",
-       "  Link(height=412, left=9, right=16)),\n",
-       " (Link(height=606, left=0, right=7),\n",
-       "  Link(height=607, left=0, right=5),\n",
-       "  Link(height=608, left=0, right=7),\n",
-       "  Link(height=609, left=0, right=5)),\n",
-       " (Link(height=967, left=7, right=19),\n",
-       "  Link(height=968, left=19, right=23),\n",
-       "  Link(height=969, left=7, right=19),\n",
-       "  Link(height=970, left=19, right=23)),\n",
-       " (Link(height=973, left=9, right=18),\n",
-       "  Link(height=975, left=9, right=15),\n",
-       "  Link(height=976, left=9, right=18),\n",
-       "  Link(height=977, left=9, right=15)),\n",
-       " (Link(height=1193, left=1, right=11),\n",
-       "  Link(height=1194, left=1, right=19),\n",
-       "  Link(height=1195, left=1, right=11),\n",
-       "  Link(height=1196, left=1, right=19)),\n",
-       " (Link(height=1388, left=17, right=21),\n",
-       "  Link(height=1389, left=6, right=17),\n",
-       "  Link(height=1390, left=17, right=21),\n",
-       "  Link(height=1391, left=6, right=17)),\n",
-       " (Link(height=1700, left=5, right=24),\n",
-       "  Link(height=1701, left=11, right=24),\n",
-       "  Link(height=1702, left=5, right=24),\n",
-       "  Link(height=1703, left=11, right=24)),\n",
-       " (Link(height=1923, left=12, right=19),\n",
-       "  Link(height=1924, left=19, right=24),\n",
-       "  Link(height=1925, left=12, right=19),\n",
-       "  Link(height=1926, left=19, right=24))]"
+       "[(Link(height=301, left=7, right=23),\n",
+       "  Link(height=302, left=16, right=23),\n",
+       "  Link(height=303, left=7, right=23),\n",
+       "  Link(height=304, left=16, right=23)),\n",
+       " (Link(height=362, left=11, right=23),\n",
+       "  Link(height=363, left=3, right=23),\n",
+       "  Link(height=364, left=11, right=23),\n",
+       "  Link(height=365, left=3, right=23)),\n",
+       " (Link(height=363, left=3, right=23),\n",
+       "  Link(height=364, left=11, right=23),\n",
+       "  Link(height=365, left=3, right=23),\n",
+       "  Link(height=366, left=11, right=23)),\n",
+       " (Link(height=595, left=12, right=15),\n",
+       "  Link(height=596, left=10, right=15),\n",
+       "  Link(height=597, left=12, right=15),\n",
+       "  Link(height=598, left=10, right=15)),\n",
+       " (Link(height=796, left=12, right=21),\n",
+       "  Link(height=797, left=4, right=12),\n",
+       "  Link(height=798, left=12, right=21),\n",
+       "  Link(height=799, left=4, right=12)),\n",
+       " (Link(height=879, left=0, right=18),\n",
+       "  Link(height=880, left=0, right=8),\n",
+       "  Link(height=881, left=0, right=18),\n",
+       "  Link(height=882, left=0, right=8)),\n",
+       " (Link(height=930, left=3, right=17),\n",
+       "  Link(height=931, left=3, right=21),\n",
+       "  Link(height=932, left=3, right=17),\n",
+       "  Link(height=933, left=3, right=21)),\n",
+       " (Link(height=1120, left=5, right=19),\n",
+       "  Link(height=1121, left=18, right=19),\n",
+       "  Link(height=1122, left=5, right=19),\n",
+       "  Link(height=1123, left=18, right=19)),\n",
+       " (Link(height=2040, left=9, right=21),\n",
+       "  Link(height=2041, left=9, right=15),\n",
+       "  Link(height=2042, left=9, right=21),\n",
+       "  Link(height=2043, left=9, right=15)),\n",
+       " (Link(height=2110, left=13, right=21),\n",
+       "  Link(height=2111, left=13, right=24),\n",
+       "  Link(height=2112, left=13, right=21),\n",
+       "  Link(height=2113, left=13, right=24))]"
       ]
      },
-     "execution_count": 92,
+     "execution_count": 119,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1659,7 +1664,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 93,
+   "execution_count": 120,
    "metadata": {
     "scrolled": true
    },
@@ -1667,217 +1672,209 @@
     {
      "data": {
       "text/plain": [
-       "[(Link(height=8, left=1, right=5),\n",
-       "  Link(height=9, left=1, right=21),\n",
-       "  Link(height=10, left=1, right=5),\n",
-       "  Link(height=11, left=1, right=21)),\n",
-       " (Link(height=40, left=16, right=23),\n",
-       "  Link(height=41, left=16, right=19),\n",
-       "  Link(height=42, left=16, right=23),\n",
-       "  Link(height=43, left=16, right=19)),\n",
-       " (Link(height=62, left=0, right=10),\n",
-       "  Link(height=63, left=10, right=13),\n",
-       "  Link(height=64, left=0, right=10),\n",
-       "  Link(height=65, left=10, right=13)),\n",
-       " (Link(height=137, left=23, right=24),\n",
-       "  Link(height=139, left=0, right=24),\n",
-       "  Link(height=140, left=23, right=24),\n",
-       "  Link(height=141, left=0, right=24)),\n",
-       " (Link(height=138, left=10, right=21),\n",
-       "  Link(height=139, left=2, right=10),\n",
-       "  Link(height=140, left=10, right=21),\n",
-       "  Link(height=141, left=2, right=10)),\n",
-       " (Link(height=139, left=2, right=10),\n",
-       "  Link(height=140, left=10, right=21),\n",
-       "  Link(height=141, left=2, right=10),\n",
-       "  Link(height=142, left=10, right=21)),\n",
-       " (Link(height=156, left=6, right=11),\n",
-       "  Link(height=157, left=3, right=6),\n",
-       "  Link(height=158, left=6, right=11),\n",
-       "  Link(height=159, left=3, right=6)),\n",
-       " (Link(height=184, left=2, right=21),\n",
-       "  Link(height=185, left=5, right=21),\n",
-       "  Link(height=186, left=2, right=21),\n",
-       "  Link(height=187, left=5, right=21)),\n",
-       " (Link(height=274, left=7, right=13),\n",
-       "  Link(height=275, left=7, right=11),\n",
-       "  Link(height=276, left=7, right=13),\n",
-       "  Link(height=277, left=7, right=11)),\n",
-       " (Link(height=292, left=14, right=15),\n",
-       "  Link(height=293, left=5, right=15),\n",
-       "  Link(height=294, left=14, right=15),\n",
-       "  Link(height=295, left=5, right=15)),\n",
-       " (Link(height=389, left=1, right=8),\n",
-       "  Link(height=391, left=8, right=15),\n",
-       "  Link(height=392, left=1, right=8),\n",
-       "  Link(height=393, left=8, right=15)),\n",
-       " (Link(height=422, left=14, right=22),\n",
-       "  Link(height=424, left=14, right=18),\n",
-       "  Link(height=425, left=14, right=22),\n",
-       "  Link(height=426, left=14, right=18)),\n",
-       " (Link(height=434, left=5, right=19),\n",
-       "  Link(height=435, left=1, right=19),\n",
-       "  Link(height=436, left=5, right=19),\n",
-       "  Link(height=437, left=1, right=19)),\n",
-       " (Link(height=456, left=0, right=15),\n",
-       "  Link(height=457, left=14, right=15),\n",
-       "  Link(height=458, left=0, right=15),\n",
-       "  Link(height=459, left=14, right=15)),\n",
-       " (Link(height=550, left=13, right=21),\n",
-       "  Link(height=551, left=6, right=21),\n",
-       "  Link(height=552, left=13, right=21),\n",
-       "  Link(height=553, left=6, right=21)),\n",
-       " (Link(height=624, left=17, right=23),\n",
-       "  Link(height=625, left=1, right=23),\n",
-       "  Link(height=626, left=17, right=23),\n",
-       "  Link(height=627, left=1, right=23)),\n",
-       " (Link(height=703, left=8, right=15),\n",
-       "  Link(height=704, left=3, right=15),\n",
-       "  Link(height=705, left=8, right=15),\n",
-       "  Link(height=706, left=3, right=15)),\n",
-       " (Link(height=794, left=7, right=24),\n",
-       "  Link(height=795, left=8, right=24),\n",
-       "  Link(height=796, left=7, right=24),\n",
-       "  Link(height=797, left=8, right=24)),\n",
-       " (Link(height=800, left=8, right=13),\n",
-       "  Link(height=801, left=4, right=8),\n",
-       "  Link(height=802, left=8, right=13),\n",
-       "  Link(height=803, left=4, right=8)),\n",
-       " (Link(height=814, left=16, right=17),\n",
-       "  Link(height=815, left=3, right=16),\n",
-       "  Link(height=816, left=16, right=17),\n",
-       "  Link(height=817, left=3, right=16)),\n",
-       " (Link(height=905, left=2, right=15),\n",
-       "  Link(height=906, left=13, right=15),\n",
-       "  Link(height=907, left=2, right=15),\n",
-       "  Link(height=908, left=13, right=15)),\n",
-       " (Link(height=926, left=2, right=15),\n",
-       "  Link(height=927, left=15, right=16),\n",
-       "  Link(height=928, left=2, right=15),\n",
-       "  Link(height=929, left=15, right=16)),\n",
-       " (Link(height=967, left=2, right=15),\n",
-       "  Link(height=968, left=2, right=14),\n",
-       "  Link(height=969, left=2, right=15),\n",
-       "  Link(height=970, left=2, right=14)),\n",
-       " (Link(height=982, left=13, right=18),\n",
-       "  Link(height=985, left=18, right=19),\n",
-       "  Link(height=986, left=13, right=18),\n",
-       "  Link(height=987, left=18, right=19)),\n",
-       " (Link(height=993, left=5, right=16),\n",
-       "  Link(height=994, left=2, right=5),\n",
-       "  Link(height=995, left=5, right=16),\n",
-       "  Link(height=996, left=2, right=5)),\n",
-       " (Link(height=1058, left=9, right=24),\n",
-       "  Link(height=1062, left=9, right=18),\n",
-       "  Link(height=1063, left=9, right=24),\n",
-       "  Link(height=1064, left=9, right=18)),\n",
-       " (Link(height=1171, left=11, right=21),\n",
-       "  Link(height=1172, left=11, right=14),\n",
-       "  Link(height=1173, left=11, right=21),\n",
-       "  Link(height=1174, left=11, right=14)),\n",
-       " (Link(height=1294, left=0, right=11),\n",
-       "  Link(height=1295, left=0, right=14),\n",
-       "  Link(height=1296, left=0, right=11),\n",
-       "  Link(height=1297, left=0, right=14)),\n",
-       " (Link(height=1341, left=4, right=9),\n",
-       "  Link(height=1343, left=4, right=10),\n",
-       "  Link(height=1344, left=4, right=9),\n",
-       "  Link(height=1345, left=4, right=10)),\n",
-       " (Link(height=1342, left=12, right=18),\n",
-       "  Link(height=1343, left=12, right=24),\n",
-       "  Link(height=1344, left=12, right=18),\n",
-       "  Link(height=1345, left=12, right=24)),\n",
-       " (Link(height=1353, left=0, right=17),\n",
-       "  Link(height=1354, left=0, right=23),\n",
-       "  Link(height=1355, left=0, right=17),\n",
-       "  Link(height=1356, left=0, right=23)),\n",
-       " (Link(height=1367, left=4, right=16),\n",
-       "  Link(height=1368, left=16, right=17),\n",
-       "  Link(height=1369, left=4, right=16),\n",
-       "  Link(height=1370, left=16, right=17)),\n",
-       " (Link(height=1441, left=11, right=24),\n",
-       "  Link(height=1442, left=18, right=24),\n",
-       "  Link(height=1443, left=11, right=24),\n",
-       "  Link(height=1444, left=18, right=24)),\n",
-       " (Link(height=1451, left=6, right=20),\n",
-       "  Link(height=1453, left=16, right=20),\n",
-       "  Link(height=1454, left=6, right=20),\n",
-       "  Link(height=1455, left=16, right=20)),\n",
-       " (Link(height=1474, left=17, right=23),\n",
-       "  Link(height=1475, left=3, right=17),\n",
-       "  Link(height=1476, left=17, right=23),\n",
-       "  Link(height=1477, left=3, right=17)),\n",
-       " (Link(height=1550, left=8, right=23),\n",
-       "  Link(height=1551, left=7, right=23),\n",
-       "  Link(height=1552, left=8, right=23),\n",
-       "  Link(height=1553, left=7, right=23)),\n",
-       " (Link(height=1574, left=4, right=14),\n",
-       "  Link(height=1575, left=14, right=23),\n",
-       "  Link(height=1576, left=4, right=14),\n",
-       "  Link(height=1577, left=14, right=23)),\n",
-       " (Link(height=1580, left=0, right=1),\n",
-       "  Link(height=1581, left=1, right=21),\n",
-       "  Link(height=1582, left=0, right=1),\n",
-       "  Link(height=1583, left=1, right=21)),\n",
-       " (Link(height=1612, left=15, right=22),\n",
-       "  Link(height=1617, left=7, right=15),\n",
-       "  Link(height=1618, left=15, right=22),\n",
-       "  Link(height=1619, left=7, right=15)),\n",
-       " (Link(height=1644, left=12, right=18),\n",
-       "  Link(height=1646, left=12, right=20),\n",
-       "  Link(height=1647, left=12, right=18),\n",
-       "  Link(height=1648, left=12, right=20)),\n",
-       " (Link(height=1716, left=13, right=24),\n",
-       "  Link(height=1719, left=14, right=24),\n",
-       "  Link(height=1720, left=13, right=24),\n",
-       "  Link(height=1721, left=14, right=24)),\n",
-       " (Link(height=1735, left=3, right=24),\n",
-       "  Link(height=1736, left=3, right=21),\n",
-       "  Link(height=1737, left=3, right=24),\n",
-       "  Link(height=1738, left=3, right=21)),\n",
-       " (Link(height=1736, left=3, right=21),\n",
-       "  Link(height=1737, left=3, right=24),\n",
-       "  Link(height=1738, left=3, right=21),\n",
-       "  Link(height=1739, left=3, right=24)),\n",
-       " (Link(height=1776, left=0, right=21),\n",
-       "  Link(height=1777, left=13, right=21),\n",
-       "  Link(height=1778, left=0, right=21),\n",
-       "  Link(height=1779, left=13, right=21)),\n",
-       " (Link(height=1783, left=7, right=9),\n",
-       "  Link(height=1784, left=7, right=12),\n",
-       "  Link(height=1785, left=7, right=9),\n",
-       "  Link(height=1786, left=7, right=12)),\n",
-       " (Link(height=1929, left=10, right=24),\n",
-       "  Link(height=1930, left=8, right=24),\n",
-       "  Link(height=1931, left=10, right=24),\n",
-       "  Link(height=1932, left=8, right=24)),\n",
-       " (Link(height=1935, left=4, right=23),\n",
-       "  Link(height=1936, left=3, right=4),\n",
-       "  Link(height=1937, left=4, right=23),\n",
-       "  Link(height=1938, left=3, right=4)),\n",
-       " (Link(height=2043, left=4, right=7),\n",
-       "  Link(height=2044, left=7, right=15),\n",
-       "  Link(height=2045, left=4, right=7),\n",
-       "  Link(height=2046, left=7, right=15)),\n",
-       " (Link(height=2045, left=8, right=19),\n",
-       "  Link(height=2051, left=8, right=15),\n",
-       "  Link(height=2052, left=8, right=19),\n",
-       "  Link(height=2053, left=8, right=15)),\n",
-       " (Link(height=2172, left=10, right=15),\n",
-       "  Link(height=2173, left=10, right=16),\n",
-       "  Link(height=2174, left=10, right=15),\n",
-       "  Link(height=2175, left=10, right=16)),\n",
-       " (Link(height=2214, left=22, right=24),\n",
-       "  Link(height=2215, left=7, right=22),\n",
-       "  Link(height=2216, left=22, right=24),\n",
-       "  Link(height=2217, left=7, right=22)),\n",
-       " (Link(height=2231, left=5, right=6),\n",
-       "  Link(height=2232, left=6, right=14),\n",
-       "  Link(height=2233, left=5, right=6),\n",
-       "  Link(height=2234, left=6, right=14))]"
+       "[(Link(height=49, left=10, right=20),\n",
+       "  Link(height=50, left=2, right=20),\n",
+       "  Link(height=51, left=10, right=20),\n",
+       "  Link(height=52, left=2, right=20)),\n",
+       " (Link(height=54, left=2, right=24),\n",
+       "  Link(height=55, left=3, right=24),\n",
+       "  Link(height=56, left=2, right=24),\n",
+       "  Link(height=57, left=3, right=24)),\n",
+       " (Link(height=62, left=2, right=15),\n",
+       "  Link(height=63, left=0, right=15),\n",
+       "  Link(height=64, left=2, right=15),\n",
+       "  Link(height=65, left=0, right=15)),\n",
+       " (Link(height=114, left=14, right=18),\n",
+       "  Link(height=115, left=3, right=18),\n",
+       "  Link(height=116, left=14, right=18),\n",
+       "  Link(height=117, left=3, right=18)),\n",
+       " (Link(height=138, left=13, right=19),\n",
+       "  Link(height=139, left=8, right=19),\n",
+       "  Link(height=140, left=13, right=19),\n",
+       "  Link(height=141, left=8, right=19)),\n",
+       " (Link(height=160, left=12, right=13),\n",
+       "  Link(height=161, left=4, right=12),\n",
+       "  Link(height=162, left=12, right=13),\n",
+       "  Link(height=163, left=4, right=12)),\n",
+       " (Link(height=315, left=23, right=24),\n",
+       "  Link(height=320, left=20, right=23),\n",
+       "  Link(height=321, left=23, right=24),\n",
+       "  Link(height=322, left=20, right=23)),\n",
+       " (Link(height=324, left=3, right=18),\n",
+       "  Link(height=325, left=16, right=18),\n",
+       "  Link(height=326, left=3, right=18),\n",
+       "  Link(height=327, left=16, right=18)),\n",
+       " (Link(height=342, left=21, right=22),\n",
+       "  Link(height=345, left=1, right=22),\n",
+       "  Link(height=346, left=21, right=22),\n",
+       "  Link(height=347, left=1, right=22)),\n",
+       " (Link(height=405, left=8, right=19),\n",
+       "  Link(height=406, left=4, right=8),\n",
+       "  Link(height=407, left=8, right=19),\n",
+       "  Link(height=408, left=4, right=8)),\n",
+       " (Link(height=468, left=11, right=22),\n",
+       "  Link(height=469, left=15, right=22),\n",
+       "  Link(height=470, left=11, right=22),\n",
+       "  Link(height=471, left=15, right=22)),\n",
+       " (Link(height=549, left=1, right=2),\n",
+       "  Link(height=550, left=1, right=6),\n",
+       "  Link(height=551, left=1, right=2),\n",
+       "  Link(height=552, left=1, right=6)),\n",
+       " (Link(height=568, left=16, right=21),\n",
+       "  Link(height=569, left=11, right=21),\n",
+       "  Link(height=570, left=16, right=21),\n",
+       "  Link(height=571, left=11, right=21)),\n",
+       " (Link(height=608, left=17, right=20),\n",
+       "  Link(height=609, left=2, right=17),\n",
+       "  Link(height=610, left=17, right=20),\n",
+       "  Link(height=611, left=2, right=17)),\n",
+       " (Link(height=613, left=18, right=21),\n",
+       "  Link(height=618, left=18, right=19),\n",
+       "  Link(height=619, left=18, right=21),\n",
+       "  Link(height=620, left=18, right=19)),\n",
+       " (Link(height=635, left=2, right=4),\n",
+       "  Link(height=636, left=4, right=20),\n",
+       "  Link(height=637, left=2, right=4),\n",
+       "  Link(height=638, left=4, right=20)),\n",
+       " (Link(height=681, left=7, right=20),\n",
+       "  Link(height=682, left=20, right=22),\n",
+       "  Link(height=683, left=7, right=20),\n",
+       "  Link(height=684, left=20, right=22)),\n",
+       " (Link(height=750, left=23, right=24),\n",
+       "  Link(height=751, left=18, right=24),\n",
+       "  Link(height=752, left=23, right=24),\n",
+       "  Link(height=753, left=18, right=24)),\n",
+       " (Link(height=760, left=12, right=18),\n",
+       "  Link(height=761, left=17, right=18),\n",
+       "  Link(height=762, left=12, right=18),\n",
+       "  Link(height=763, left=17, right=18)),\n",
+       " (Link(height=765, left=0, right=9),\n",
+       "  Link(height=766, left=0, right=14),\n",
+       "  Link(height=767, left=0, right=9),\n",
+       "  Link(height=768, left=0, right=14)),\n",
+       " (Link(height=805, left=16, right=22),\n",
+       "  Link(height=806, left=0, right=16),\n",
+       "  Link(height=807, left=16, right=22),\n",
+       "  Link(height=808, left=0, right=16)),\n",
+       " (Link(height=834, left=1, right=6),\n",
+       "  Link(height=835, left=3, right=6),\n",
+       "  Link(height=836, left=1, right=6),\n",
+       "  Link(height=837, left=3, right=6)),\n",
+       " (Link(height=881, left=2, right=12),\n",
+       "  Link(height=882, left=2, right=23),\n",
+       "  Link(height=883, left=2, right=12),\n",
+       "  Link(height=884, left=2, right=23)),\n",
+       " (Link(height=904, left=12, right=23),\n",
+       "  Link(height=905, left=12, right=14),\n",
+       "  Link(height=906, left=12, right=23),\n",
+       "  Link(height=907, left=12, right=14)),\n",
+       " (Link(height=936, left=7, right=17),\n",
+       "  Link(height=937, left=15, right=17),\n",
+       "  Link(height=938, left=7, right=17),\n",
+       "  Link(height=939, left=15, right=17)),\n",
+       " (Link(height=1010, left=4, right=6),\n",
+       "  Link(height=1011, left=6, right=17),\n",
+       "  Link(height=1012, left=4, right=6),\n",
+       "  Link(height=1013, left=6, right=17)),\n",
+       " (Link(height=1030, left=1, right=12),\n",
+       "  Link(height=1031, left=1, right=20),\n",
+       "  Link(height=1032, left=1, right=12),\n",
+       "  Link(height=1033, left=1, right=20)),\n",
+       " (Link(height=1197, left=2, right=9),\n",
+       "  Link(height=1198, left=9, right=22),\n",
+       "  Link(height=1199, left=2, right=9),\n",
+       "  Link(height=1200, left=9, right=22)),\n",
+       " (Link(height=1222, left=2, right=3),\n",
+       "  Link(height=1223, left=2, right=5),\n",
+       "  Link(height=1224, left=2, right=3),\n",
+       "  Link(height=1225, left=2, right=5)),\n",
+       " (Link(height=1318, left=12, right=23),\n",
+       "  Link(height=1319, left=4, right=12),\n",
+       "  Link(height=1320, left=12, right=23),\n",
+       "  Link(height=1321, left=4, right=12)),\n",
+       " (Link(height=1341, left=17, right=22),\n",
+       "  Link(height=1342, left=11, right=17),\n",
+       "  Link(height=1343, left=17, right=22),\n",
+       "  Link(height=1344, left=11, right=17)),\n",
+       " (Link(height=1396, left=4, right=9),\n",
+       "  Link(height=1397, left=3, right=9),\n",
+       "  Link(height=1398, left=4, right=9),\n",
+       "  Link(height=1399, left=3, right=9)),\n",
+       " (Link(height=1426, left=18, right=24),\n",
+       "  Link(height=1427, left=17, right=18),\n",
+       "  Link(height=1428, left=18, right=24),\n",
+       "  Link(height=1429, left=17, right=18)),\n",
+       " (Link(height=1456, left=2, right=15),\n",
+       "  Link(height=1457, left=3, right=15),\n",
+       "  Link(height=1458, left=2, right=15),\n",
+       "  Link(height=1459, left=3, right=15)),\n",
+       " (Link(height=1505, left=13, right=18),\n",
+       "  Link(height=1506, left=13, right=21),\n",
+       "  Link(height=1507, left=13, right=18),\n",
+       "  Link(height=1508, left=13, right=21)),\n",
+       " (Link(height=1551, left=10, right=12),\n",
+       "  Link(height=1552, left=4, right=12),\n",
+       "  Link(height=1553, left=10, right=12),\n",
+       "  Link(height=1554, left=4, right=12)),\n",
+       " (Link(height=1622, left=4, right=11),\n",
+       "  Link(height=1623, left=11, right=16),\n",
+       "  Link(height=1624, left=4, right=11),\n",
+       "  Link(height=1625, left=11, right=16)),\n",
+       " (Link(height=1653, left=8, right=24),\n",
+       "  Link(height=1654, left=4, right=8),\n",
+       "  Link(height=1655, left=8, right=24),\n",
+       "  Link(height=1656, left=4, right=8)),\n",
+       " (Link(height=1688, left=0, right=5),\n",
+       "  Link(height=1689, left=0, right=23),\n",
+       "  Link(height=1690, left=0, right=5),\n",
+       "  Link(height=1691, left=0, right=23)),\n",
+       " (Link(height=1724, left=10, right=23),\n",
+       "  Link(height=1725, left=10, right=11),\n",
+       "  Link(height=1726, left=10, right=23),\n",
+       "  Link(height=1727, left=10, right=11)),\n",
+       " (Link(height=1863, left=1, right=12),\n",
+       "  Link(height=1864, left=1, right=13),\n",
+       "  Link(height=1865, left=1, right=12),\n",
+       "  Link(height=1866, left=1, right=13)),\n",
+       " (Link(height=1873, left=10, right=22),\n",
+       "  Link(height=1874, left=10, right=15),\n",
+       "  Link(height=1875, left=10, right=22),\n",
+       "  Link(height=1876, left=10, right=15)),\n",
+       " (Link(height=1879, left=18, right=20),\n",
+       "  Link(height=1880, left=17, right=20),\n",
+       "  Link(height=1881, left=18, right=20),\n",
+       "  Link(height=1882, left=17, right=20)),\n",
+       " (Link(height=1916, left=18, right=19),\n",
+       "  Link(height=1917, left=7, right=18),\n",
+       "  Link(height=1918, left=18, right=19),\n",
+       "  Link(height=1919, left=7, right=18)),\n",
+       " (Link(height=1961, left=11, right=20),\n",
+       "  Link(height=1962, left=7, right=20),\n",
+       "  Link(height=1963, left=11, right=20),\n",
+       "  Link(height=1964, left=7, right=20)),\n",
+       " (Link(height=1962, left=9, right=18),\n",
+       "  Link(height=1963, left=18, right=19),\n",
+       "  Link(height=1964, left=9, right=18),\n",
+       "  Link(height=1965, left=18, right=19)),\n",
+       " (Link(height=2031, left=3, right=6),\n",
+       "  Link(height=2032, left=3, right=4),\n",
+       "  Link(height=2033, left=3, right=6),\n",
+       "  Link(height=2034, left=3, right=4)),\n",
+       " (Link(height=2077, left=2, right=9),\n",
+       "  Link(height=2078, left=2, right=23),\n",
+       "  Link(height=2079, left=2, right=9),\n",
+       "  Link(height=2080, left=2, right=23)),\n",
+       " (Link(height=2165, left=1, right=8),\n",
+       "  Link(height=2166, left=4, right=8),\n",
+       "  Link(height=2167, left=1, right=8),\n",
+       "  Link(height=2168, left=4, right=8)),\n",
+       " (Link(height=2185, left=6, right=21),\n",
+       "  Link(height=2186, left=11, right=21),\n",
+       "  Link(height=2187, left=6, right=21),\n",
+       "  Link(height=2188, left=11, right=21))]"
       ]
      },
-     "execution_count": 93,
+     "execution_count": 120,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1895,7 +1892,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 94,
+   "execution_count": 121,
    "metadata": {},
    "outputs": [
     {
@@ -1904,7 +1901,7 @@
        "True"
       ]
      },
-     "execution_count": 94,
+     "execution_count": 121,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1915,7 +1912,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 95,
+   "execution_count": 122,
    "metadata": {
     "scrolled": true
    },
@@ -1923,10 +1920,10 @@
     {
      "data": {
       "text/plain": [
-       "9931"
+       "9909"
       ]
      },
-     "execution_count": 95,
+     "execution_count": 122,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1938,16 +1935,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 96,
+   "execution_count": 123,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "(9835, 10135, 9931)"
+       "(9809, 10109, 9909)"
       ]
      },
-     "execution_count": 96,
+     "execution_count": 123,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1958,7 +1955,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 97,
+   "execution_count": 124,
    "metadata": {},
    "outputs": [
     {
@@ -1967,7 +1964,7 @@
        "True"
       ]
      },
-     "execution_count": 97,
+     "execution_count": 124,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1978,7 +1975,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 98,
+   "execution_count": 125,
    "metadata": {},
    "outputs": [
     {
@@ -1987,7 +1984,7 @@
        "True"
       ]
      },
-     "execution_count": 98,
+     "execution_count": 125,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1998,16 +1995,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 99,
+   "execution_count": 126,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "2286"
+       "2285"
       ]
      },
-     "execution_count": 99,
+     "execution_count": 126,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -2018,7 +2015,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 100,
+   "execution_count": 127,
    "metadata": {
     "collapsed": true
    },
@@ -2059,7 +2056,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 101,
+   "execution_count": 128,
    "metadata": {
     "scrolled": true
    },
@@ -2162,10 +2159,6 @@
       "triple ok\n",
       "pairs ok\n",
       "triple ok\n",
-      "pairs ok\n",
-      "triple ok\n",
-      "pairs ok\n",
-      "triple ok\n",
       "** done\n"
      ]
     }
@@ -2176,7 +2169,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 102,
+   "execution_count": 129,
    "metadata": {},
    "outputs": [
     {
@@ -2185,7 +2178,7 @@
        "True"
       ]
      },
-     "execution_count": 102,
+     "execution_count": 129,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -2196,16 +2189,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 103,
+   "execution_count": 130,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "10135"
+       "10109"
       ]
      },
-     "execution_count": 103,
+     "execution_count": 130,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -2216,42 +2209,275 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 113,
+   "execution_count": 131,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# open('04-lines.txt', 'w').write(show_net(lnettp, randomise=True, pair_sep='\\n'))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 114,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "83459"
+       "139"
       ]
      },
-     "execution_count": 113,
+     "execution_count": 114,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "open('04-lines.txt', 'w').write(show_net(lnettp, randomise=True, pair_sep='\\n'))"
+    "# open('04-small.txt', 'w').write(show_net(make_net(20), randomise=True, pair_sep='\\n'))"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 114,
+   "execution_count": 143,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "8 [(2, 4), (0, 4), (2, 4), (0, 4)]\n",
+      "10 [(1, 2), (1, 2)]\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "[Link(height=0, left=2, right=5),\n",
+       " Link(height=1, left=1, right=4),\n",
+       " Link(height=2, left=0, right=3),\n",
+       " Link(height=3, left=0, right=3),\n",
+       " Link(height=4, left=0, right=5),\n",
+       " Link(height=5, left=3, right=5),\n",
+       " Link(height=6, left=0, right=2),\n",
+       " Link(height=7, left=3, right=4),\n",
+       " Link(height=8, left=2, right=4),\n",
+       " Link(height=9, left=1, right=2),\n",
+       " Link(height=10, left=0, right=4),\n",
+       " Link(height=11, left=1, right=2),\n",
+       " Link(height=12, left=2, right=4),\n",
+       " Link(height=13, left=1, right=2),\n",
+       " Link(height=14, left=0, right=4),\n",
+       " Link(height=15, left=1, right=4)]"
+      ]
+     },
+     "execution_count": 143,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "net = make_net(10, lines=6)\n",
+    "net = add_triple_pair(net, trace=True)\n",
+    "net = add_pair(net, trace=True)\n",
+    "net = read_net(show_net(net, randomise=True))\n",
+    "net"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 147,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "139"
+       "'(2, 5), (1, 4), (0, 3), (0, 3), (0, 5), (3, 5), (0, 2), (3, 4), (2, 4), (1, 2), (0, 4), (1, 2), (2, 4), (1, 2), (0, 4), (1, 4)'"
       ]
      },
-     "execution_count": 114,
+     "execution_count": 147,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "show_net(net)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 149,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[Link(height=0, left=2, right=5),\n",
+       " Link(height=1, left=1, right=4),\n",
+       " Link(height=2, left=0, right=3),\n",
+       " Link(height=3, left=0, right=3),\n",
+       " Link(height=4, left=0, right=5),\n",
+       " Link(height=5, left=3, right=5),\n",
+       " Link(height=6, left=0, right=2),\n",
+       " Link(height=7, left=3, right=4),\n",
+       " Link(height=8, left=2, right=4),\n",
+       " Link(height=9, left=1, right=2),\n",
+       " Link(height=10, left=0, right=4),\n",
+       " Link(height=11, left=1, right=2),\n",
+       " Link(height=12, left=2, right=4),\n",
+       " Link(height=13, left=0, right=4),\n",
+       " Link(height=14, left=1, right=4)]"
+      ]
+     },
+     "execution_count": 149,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "net = read_net('(2, 5), (1, 4), (0, 3), (0, 3), (0, 5), (3, 5), (0, 2), (3, 4), (2, 4), (1, 2), (0, 4), (1, 2), (2, 4), (0, 4), (1, 4)')\n",
+    "net"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 150,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[Link(height=0, left=0, right=3),\n",
+       " Link(height=0, left=1, right=4),\n",
+       " Link(height=0, left=2, right=5),\n",
+       " Link(height=1, left=0, right=3),\n",
+       " Link(height=2, left=0, right=5),\n",
+       " Link(height=3, left=0, right=2),\n",
+       " Link(height=3, left=3, right=5),\n",
+       " Link(height=4, left=3, right=4),\n",
+       " Link(height=5, left=2, right=4),\n",
+       " Link(height=6, left=0, right=4),\n",
+       " Link(height=6, left=1, right=2),\n",
+       " Link(height=7, left=1, right=2),\n",
+       " Link(height=8, left=2, right=4),\n",
+       " Link(height=9, left=0, right=4),\n",
+       " Link(height=10, left=1, right=4)]"
+      ]
+     },
+     "execution_count": 150,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "pack(net)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 151,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[Link(height=0, left=1, right=4),\n",
+       " Link(height=0, left=2, right=5),\n",
+       " Link(height=1, left=0, right=5),\n",
+       " Link(height=2, left=0, right=2),\n",
+       " Link(height=2, left=3, right=5),\n",
+       " Link(height=3, left=3, right=4),\n",
+       " Link(height=4, left=2, right=4),\n",
+       " Link(height=5, left=0, right=4),\n",
+       " Link(height=6, left=2, right=4),\n",
+       " Link(height=7, left=0, right=4),\n",
+       " Link(height=8, left=1, right=4)]"
+      ]
+     },
+     "execution_count": 151,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "epnet = eliminate_pairs(net)\n",
+    "pack(epnet)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 152,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "11\n",
+      "11\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "[Link(height=0, left=1, right=4),\n",
+       " Link(height=0, left=2, right=5),\n",
+       " Link(height=1, left=0, right=5),\n",
+       " Link(height=2, left=0, right=2),\n",
+       " Link(height=2, left=3, right=5),\n",
+       " Link(height=3, left=3, right=4),\n",
+       " Link(height=4, left=0, right=4),\n",
+       " Link(height=5, left=2, right=4),\n",
+       " Link(height=6, left=1, right=4)]"
+      ]
+     },
+     "execution_count": 152,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "eptnet = eliminate_triple_pairs(epnet)\n",
+    "pack(eptnet)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 153,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "True"
+      ]
+     },
+     "execution_count": 153,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "''.join(follow_many(string.ascii_lowercase, net)) == ''.join(follow_many(string.ascii_lowercase, eptnet))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 155,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "104"
+      ]
+     },
+     "execution_count": 155,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "open('04-small.txt', 'w').write(show_net(make_net(20), randomise=True, pair_sep='\\n'))"
+    "open('04-small.txt', 'w').write(show_net(net, pair_sep='\\n'))"
    ]
   },
   {