X-Git-Url: https://git.njae.me.uk/?a=blobdiff_plain;f=2014%2F2014-challenge8.ipynb;fp=2014%2F2014-challenge8.ipynb;h=f6d9d2e5e37fec50951141724a05d68faae5d3ea;hb=a9d938167b636e599586ebbc5aeec75c877e120f;hp=0000000000000000000000000000000000000000;hpb=923bda393a49b74f09c381746597fa4532c17f67;p=cipher-tools.git

diff --git a/2014/2014-challenge8.ipynb b/2014/2014-challenge8.ipynb
new file mode 100644
index 0000000..f6d9d2e
--- /dev/null
+++ b/2014/2014-challenge8.ipynb
@@ -0,0 +1,5630 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "import os,sys,inspect\n",
+    "currentdir = os.path.dirname(os.path.abspath(inspect.getfile(inspect.currentframe())))\n",
+    "parentdir = os.path.dirname(currentdir)\n",
+    "sys.path.insert(0,parentdir) \n",
+    "\n",
+    "import matplotlib.pyplot as plt\n",
+    "import pandas as pd\n",
+    "import collections\n",
+    "import string\n",
+    "%matplotlib inline\n",
+    "\n",
+    "from cipherbreak import *\n",
+    "\n",
+    "c8a = open('8a.ciphertext').read()\n",
+    "c8b = open('8b.ciphertext').read().strip()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.axes._subplots.AxesSubplot at 0x7f42359ab6a0>"
+      ]
+     },
+     "execution_count": 2,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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yN7hfkfRR4Crgv1QqGBEfBz4u6c8i4j112i33GeBhSfenvr0T+KykU8jORJ6X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\nzAocGMzMrOD/A5ZV4vqjDJn1AAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x7f4235991f60>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "freqs = pd.Series(english_counts)\n",
+    "freqs.plot(kind='bar')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.axes._subplots.AxesSubplot at 0x7f420b429860>"
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWwAAAD+CAYAAAAeRj9FAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x7f420b4599b0>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "freqs_8a = pd.Series(collections.Counter([l.lower() for l in c8a if l in string.ascii_letters]))\n",
+    "freqs_8a.plot(kind='bar')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'nyvlggsyglchxfeuytqcesqxpziufiggrbjhpayncruyfpsxufiupskyrectmmcncruyregxigrlglbtiblmecebzsvrlpuxpbibjajrljreobajrlufigjehbezywtmgjyxfqxictsgrdgtbjafyoocwtmjblctwwucqmgofrlfmrfrlfwlbtijlwuypmchjqxicrfchumtsmzjbimyvhcuvyrugxjcwpdtpuisrlfdhbaencyqumufeogrhcrjmytqsmsxjmrcsxjrmttiswzvjrfpecjitnidgemdssaitasvjhuyofgxpsxgmvvqfvrxiyxxmymbxfjpufigbeufeuuiiyzfavbaofbxicmsamqfisqwpgrtribbmtskhcwuuimcxufinbitrvpwxsmnbljppytuixgpmlifbgpmtfpeugsodvpkxicsnyrjeswcvokioreoyvnchggkirishiuyrerlfdpjeluasorvpjwzqxfkwgpsnyhsmrfkiblaigpfuiociersflwvpiuusufmoewpliufeuuiemrprwflhdpmuggbjmodsskeugsoygsmwtrlfzecypnyreyftrvbgxblhuusufeuuivqiblsoavjrmdyplcchcrfpeugsonvprsdmpplxiyxdfeolimemwcrufimczfjsgasnkmukiorxicjeylbtitfsxlmobiwcppnmoexigwqjeogenqyscxiyxufizummjvfgrtreucxictpuisqyqnpzumufmoyjfuqplxiqfvrajrlmsglrlfwajjpomxhsitqxiyxxcoomabzsvrmuyreuixgpmnyugxpsxpdfvqmocwtdssjsoeiomyhfxpasncyqumufeqjeomjpsvpurumiynppgxjrmorlfkiblxjkixcrpuoomaufeurlfgvigkicwuqidsvjrcdmqnsrjaeugsoqescioavznxfbytgrhygbbioswdgticvtmafaeoqxbpxisrugrhrlsmyhfxichbrecywfdssmxicvjlxfpgfnxtuidyrdpedixigwnycccxicfscelrlsmyhfaffewcffcrmmslgrhdssgrufiggkirehymoqxufigbemcxtlsuqgscajryqypmrlfzitrlbpvz'"
+      ]
+     },
+     "execution_count": 4,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "c8as = sanitise(c8a)\n",
+    "c8as"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "('bye', -1461.9840974270046)"
+      ]
+     },
+     "execution_count": 5,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "key_a, score = vigenere_frequency_break(c8as)\n",
+    "key_a, score"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'mark i cracked what appears to be the final document about the trojan deployment and i think i have an idea about how to deal with it and with the flag day associates the principal weakness of any system like the one they have installed is the need to provide large quantities of power the fda came up with an ingenious solution but it is very vulnerable special forces could take it out for us but that would tell the fda that we have cracked their ciphers so instead i suggest we let them destroy trojan for us we will need cooperation from the omani government an armed fighter jet and the flight control systems from a drone meanwhile we need to ensure two things one that we do not send critical information across the ba balm and abstrait and two that we use an on critical key generation protocol on that channel given the level of commitment the fda have shown in developing this plan i am sure that they will reinstate the powersupply within a few months but with luck they will not guess that we know about it and we will put it out of business for long enough to come up with a plan of our own to exploit it in the meantime we now know that their highest security communications are encrypted using a caden us cipher so we can start hunting through the database for other intercepts we can crack this maybe the breakthrough we have been looking for in the fight against the fda lets not screw it up all the best harry'"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "' '.join(segment(vigenere_decipher(c8as, key_a)))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "875.0"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "len(c8b) / 8"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "['00000',\n",
+       " '00101',\n",
+       " '00010',\n",
+       " '00000',\n",
+       " '00100',\n",
+       " '10100',\n",
+       " '01110',\n",
+       " '10011',\n",
+       " '10011',\n",
+       " '00000',\n",
+       " '00010',\n",
+       " '10011',\n",
+       " '00111',\n",
+       " '10001',\n",
+       " '01000',\n",
+       " '01110',\n",
+       " '01011',\n",
+       " '00100',\n",
+       " '10011',\n",
+       " '00010',\n",
+       " '10010',\n",
+       " '00100',\n",
+       " '10001',\n",
+       " '10011',\n",
+       " '00111',\n",
+       " '10010',\n",
+       " '00111',\n",
+       " '10011',\n",
+       " '10001',\n",
+       " '00000',\n",
+       " '00111',\n",
+       " '01010',\n",
+       " '11000',\n",
+       " '01110',\n",
+       " '10001',\n",
+       " '01111',\n",
+       " '00101',\n",
+       " '10001',\n",
+       " '00110',\n",
+       " '00100',\n",
+       " '01110',\n",
+       " '00000',\n",
+       " '00011',\n",
+       " '01111',\n",
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+       " '01101',\n",
+       " ...]"
+      ]
+     },
+     "execution_count": 8,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "[c for c in chunks(c8b, 5)]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
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+       " 13,\n",
+       " ...]"
+      ]
+     },
+     "execution_count": 9,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "[(int(c, 2)) for c in chunks(c8b, 5)]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "24"
+      ]
+     },
+     "execution_count": 10,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "max([(int(c, 2)) for c in chunks(c8b, 5)])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'y'"
+      ]
+     },
+     "execution_count": 11,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "max([chr(int(c, 2) + ord('a')) for c in chunks(c8b, 5)])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "def cadenus_letter(n, doubled='v'):\n",
+    "    letter = chr(n + ord('a'))\n",
+    "    if letter > doubled:\n",
+    "        letter = chr(n + ord('a') + 1)\n",
+    "    return letter"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'afcaeuottacthrioletcserthshtrahkyorpfrgeoadppjnglternefeofiortsddoeeumscruernfetlaafstwientrvoonerhuahravereetsvsielhlostdoaloyaesmnndignnrhohhtsnaoilncnssicreanneeiiierwtanesrvogieiywssdgpvoiaisaoaeoaedrnitrnxeigrpsshadhdtoipaatexennesagrobtlesrnroirypbgedclliwalaleenigrrnwyrlimlpstoleftrdmuarieeeiiaolnewsaohrtlstobetnslvfivdovtpoaeeisciohipseveedtewfarnhebleaotohtttepnckaonhwetmvyprreonnasgdedoeeeoaamtcicttifnadresrtserosetrhcictpsaaehldhsfxsoaotctbbsoeirnsadlytrrunrceptthreuhnktaceceelrwnireeeaeseeeidisogceomnrtejhagabsenitlwtrnbmielsaretesrngsnhebiosdienafleisahocifevmfatanatrniagnhatnmibniufenrtottrnypaidyiegdnmerhhiotretcesseildrbceprigaesoadltahievebrcenlevasadnnthneiteiisahuhhuamonefyhlonwhaeeeeosneeyaneisetogyiterlihtcmioirarfdoetnihtnehiikamrdmnadanaodseseiyclsiantaoltciymidentthltndxtttmasbleaeetlisirtwturpfailteaoefeisiiiyisikvtwisprbsinelphrmohiagnlslvitodaisdpnyddcaaotahcehtueirredaectosnrhvnaodoikoetcineneurrisdcouraglvimmuppditeanditmaaiaieleonnreedaodboiumelrotntttgitnrlrienniklysogstcifypipvidvssmnceiasiitsnneatitomrhbnhnidprlrepoynalsnvsdosanesitfaenltgodatteeaisicrootmsmfhauenirsghynweintegodiileedtarnosrcaaendtcuttfdrbehtmfitoordruiaoyaanoeeldoinhusgiteaoriecevemntratmtfpeucutahamtnewonicdeemrpaolitoafesoosspfnlneeootachllirssxsofpdftfrnpraeeaylonahautntcntcbawloneftoatecvowdlwvnneedtiioigtegmtaheeatefaaeprrcrosheerrpalediengidrreouhvesuroytnsosinuiuiofprda'"
+      ]
+     },
+     "execution_count": 13,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "c8bl = ''.join([cadenus_letter(int(c, 2), doubled='z') for c in chunks(c8b, 5)])\n",
+    "c8bl"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "('a', 'y')"
+      ]
+     },
+     "execution_count": 14,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "min(c8bl), max(c8bl)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(1400, 56.0)"
+      ]
+     },
+     "execution_count": 15,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "len(c8bl), len(c8bl) / 25"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.axes._subplots.AxesSubplot at 0x7f420b349a20>"
+      ]
+     },
+     "execution_count": 16,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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U5NVd+aYkO5PcnuT6JMfNtrmSdChqidvakWTsbRp9h1b2Az9XVU8GngX8TJInAduAnVV1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\nNbxLWGOjAAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x7f420b349048>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "freqs_8b = pd.Series(collections.Counter([l.lower() for l in c8bl if l in string.ascii_letters]))\n",
+    "freqs_8b.plot(kind='bar')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.axes._subplots.AxesSubplot at 0x7f420b2a5d68>"
+      ]
+     },
+     "execution_count": 17,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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UWB3jIX01cA8wF3gwIram/LuAjZL2AqNkAYiIeEbSzcAjqVxfmoQ2M7NJVHMo6XjgoaTp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\nzAocGMzMrOD/A5ZV4vqjDJn1AAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x7f420b33ecc0>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "freqs = pd.Series(english_counts)\n",
+    "freqs.plot(kind='bar')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "['afcaeuottacthrioletcserthshtrahkyorpfrgeoadppjnglternefe',\n",
+       " 'ofiortsddoeeumscruernfetlaafstwientrvoonerhuahravereetsv',\n",
+       " 'sielhlostdoaloyaesmnndignnrhohhtsnaoilncnssicreanneeiiie',\n",
+       " 'rwtanesrvogieiywssdgpvoiaisaoaeoaedrnitrnxeigrpsshadhdto',\n",
+       " 'ipaatexennesagrobtlesrnroirypbgedclliwalaleenigrrnwyrlim',\n",
+       " 'lpstoleftrdmuarieeeiiaolnewsaohrtlstobetnslvfivdovtpoaee',\n",
+       " 'isciohipseveedtewfarnhebleaotohtttepnckaonhwetmvyprreonn',\n",
+       " 'asgdedoeeeoaamtcicttifnadresrtserosetrhcictpsaaehldhsfxs',\n",
+       " 'oaotctbbsoeirnsadlytrrunrceptthreuhnktaceceelrwnireeeaes',\n",
+       " 'eeeidisogceomnrtejhagabsenitlwtrnbmielsaretesrngsnhebios',\n",
+       " 'dienafleisahocifevmfatanatrniagnhatnmibniufenrtottrnypai',\n",
+       " 'dyiegdnmerhhiotretcesseildrbceprigaesoadltahievebrcenlev',\n",
+       " 'asadnnthneiteiisahuhhuamonefyhlonwhaeeeeosneeyaneisetogy',\n",
+       " 'iterlihtcmioirarfdoetnihtnehiikamrdmnadanaodseseiyclsian',\n",
+       " 'taoltciymidentthltndxtttmasbleaeetlisirtwturpfailteaoefe',\n",
+       " 'isiiiyisikvtwisprbsinelphrmohiagnlslvitodaisdpnyddcaaota',\n",
+       " 'hcehtueirredaectosnrhvnaodoikoetcineneurrisdcouraglvimmu',\n",
+       " 'ppditeanditmaaiaieleonnreedaodboiumelrotntttgitnrlrienni',\n",
+       " 'klysogstcifypipvidvssmnceiasiitsnneatitomrhbnhnidprlrepo',\n",
+       " 'ynalsnvsdosanesitfaenltgodatteeaisicrootmsmfhauenirsghyn',\n",
+       " 'weintegodiileedtarnosrcaaendtcuttfdrbehtmfitoordruiaoyaa',\n",
+       " 'noeeldoinhusgiteaoriecevemntratmtfpeucutahamtnewonicdeem',\n",
+       " 'rpaolitoafesoosspfnlneeootachllirssxsofpdftfrnpraeeaylon',\n",
+       " 'ahautntcntcbawloneftoatecvowdlwvnneedtiioigtegmtaheeatef',\n",
+       " 'aaeprrcrosheerrpalediengidrreouhvesuroytnsosinuiuiofprda']"
+      ]
+     },
+     "execution_count": 18,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "rows = chunks(c8bl, len(c8bl) // 25)\n",
+    "rows"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "['a..ae....a..h....e..se..hsh..ah....p...e.a.pp.....e..e.e',\n",
+       " '......s...ee..s...e...e..aa.s...e.......e.h.ah.a.e.ee.s.',\n",
+       " 's.e.h..s...a...aes.........h.hh.s.a......ss...ea..ee...e',\n",
+       " '...a.es.....e...ss..p...a.sa.ae.ae........e...pssha.h...',\n",
+       " '.paa.e.e..esa......es.......p..e......a.a.ee............',\n",
+       " '.ps...e......a..eee..a...e.sa.h...s...e..s.........p.aee',\n",
+       " '.s...h.pse.ee..e..a..he..ea...h...ep...a..h.e....p..e...',\n",
+       " 'as..e..eee.aa..........a..es..se..se..h....psaaeh..hs..s',\n",
+       " '.a......s.e...sa..........ep..h.e.h...a.e.ee......eeeaes',\n",
+       " 'eee...s...e.....e.ha.a.se...........e.sa.e.es...s.he...s',\n",
+       " '..e.a..e.sah....e...a.a.a....a..ha.........e.........pa.',\n",
+       " '...e....e.hh....e..esse......ep...aes.a...ah.e.e...e..e.',\n",
+       " 'asa....h.e..e..sah.hh.a...e..h....haeeee.s.ee.a.e.se....',\n",
+       " '..e...h.......a....e...h..eh...a.....a.a.a..sese....s.a.',\n",
+       " '.a.........e...h.........as..eaee...s.......p.a...ea.e.e',\n",
+       " '.s.....s......sp..s..e.ph...h.a...s......a.s.p.....aa..a',\n",
+       " 'h.eh..e...e.ae...s..h..a......e....e.e....s.....a.......',\n",
+       " 'pp...ea.....aa.a.e.e....ee.a.......e................e...',\n",
+       " '...s..s.....p.p....ss...e.as...s..ea......h..h...p...ep.',\n",
+       " '..a.s..s..sa.es...ae......a..eea.s.......s..ha.e...s.h..',\n",
+       " '.e...e......ee..a...s..aae...........eh............a..aa',\n",
+       " '..ee.....h.s...ea...e.e.e....a....pe....aha...e......ee.',\n",
+       " '.pa.....a.es..ssp....ee...a.h....ss.s..p......p.aeea....',\n",
+       " 'aha.........a....e...a.e..........ee........e...aheea.e.',\n",
+       " 'aaep.....shee..pa.e..e......e..h.es......s.s........p..a']"
+      ]
+     },
+     "execution_count": 19,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "chunks(''.join([l if l in 'phase' else '.' for l in c8bl]), 56)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "['aosriliaoeddaitihpkywnraa',\n",
+       " 'ffiwppssaeiystascplneopha',\n",
+       " 'cietascgoeeiaeoiedyaieaae',\n",
+       " 'aolaatidtinedrlihislneoup',\n",
+       " 'erhntooecdagnltittostlltr',\n",
+       " 'utleelhdtifdnicyuegnedinr',\n",
+       " 'ososxeiobslnthiieasvgottc',\n",
+       " 'tdsrefpeboemhtysintsoiocr',\n",
+       " 'tdtvntsesgiencmirdcddnano',\n",
+       " 'aodonreeocsremikriioihfts',\n",
+       " 'ceogedvoeeahiidvetfsiuech',\n",
+       " 'teaismeaiohhtoetdmyalssbe',\n",
+       " 'huleauearmoieinwaapnegoae',\n",
+       " 'rmoigadmnncoirtieaieeiowr',\n",
+       " 'isyyrrttsritiatscipsdtslr',\n",
+       " 'ocawoiecatfrsrhptavitesop',\n",
+       " 'lresbewideeeaflroiitaapna',\n",
+       " 'eusstefcljvthdtbsedfrofel',\n",
+       " 'temdleatyhmcuonsnlvanrnfe',\n",
+       " 'crngeirttafehedireseoiltd',\n",
+       " 'snnpsinirgashtxnhosnsenoi',\n",
+       " 'efdvrahfratsuntevnmlrceae',\n",
+       " 'reionoenubaeaitlnnntceetn',\n",
+       " 'ttgirlbansnimhtparcgavoeg',\n",
+       " 'hlnaonldrealotmhoeeoaeoci',\n",
+       " 'saniieercntdnnardeidemtvd',\n",
+       " 'harsrwaeeirreesmodaannaor',\n",
+       " 'tfhaysosptnbfhboiastdtcwr',\n",
+       " 'rsoopatrtlicyilhkoittrhde',\n",
+       " 'athaboottwaehieiodiecallo',\n",
+       " 'hwheghhshtgplkaaebteutlwu',\n",
+       " 'kitoerterrnroaegtosatmivh',\n",
+       " 'yesadttrenhinmencinittrnv',\n",
+       " 'onnecltoubagwrtliunsffsne',\n",
+       " 'rtadlseshmtahdlsnmeidpses',\n",
+       " 'prorltpenineamileeacrexeu',\n",
+       " 'fviniontkemsensvnltrbusdr',\n",
+       " 'roliwbcrtlioeaiierioecoto',\n",
+       " 'gontaekhasbaedrtuotohufiy',\n",
+       " 'encrltaccandeatortotttpit',\n",
+       " 'oennanoierilonwdrnmmmadon',\n",
+       " 'arsxlsncceutsataitrsfhfis',\n",
+       " 'dhseelhtetfanouisthmiatgo',\n",
+       " 'puiievwpeeehedrsdtbftmfts',\n",
+       " 'pacgnfeslsniespdcgnhotrei',\n",
+       " 'jhrriitarrreyefpoihaonngn',\n",
+       " 'nrepgvmawntvasanutnurepmu',\n",
+       " 'gaasrdvengoeneiyrniedwrti',\n",
+       " 'lvnsroyhistbeildardnroaau',\n",
+       " 'tenhnvplrntriytdglpiunehi',\n",
+       " 'ereawtrdehrcsceclrrriieeo',\n",
+       " 'reedyprheeneelaavilsacaef',\n",
+       " 'neihroesebyntsoaiergodyap',\n",
+       " 'etidlaofaiploieomnehyeltr',\n",
+       " 'fsitienxeoaegaftmnpyaeoed',\n",
+       " 'eveomensssivyneauionamnfa']"
+      ]
+     },
+     "execution_count": 20,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "columns = [''.join(c) for c in zip(*rows)]\n",
+    "columns"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "{'a': [(0, 0),\n",
+       "  (0, 3),\n",
+       "  (0, 9),\n",
+       "  (0, 29),\n",
+       "  (0, 41),\n",
+       "  (1, 25),\n",
+       "  (1, 26),\n",
+       "  (1, 44),\n",
+       "  (1, 47),\n",
+       "  (2, 11),\n",
+       "  (2, 15),\n",
+       "  (2, 34),\n",
+       "  (2, 47),\n",
+       "  (3, 3),\n",
+       "  (3, 24),\n",
+       "  (3, 27),\n",
+       "  (3, 29),\n",
+       "  (3, 32),\n",
+       "  (3, 50),\n",
+       "  (4, 2),\n",
+       "  (4, 3),\n",
+       "  (4, 12),\n",
+       "  (4, 38),\n",
+       "  (4, 40),\n",
+       "  (5, 13),\n",
+       "  (5, 21),\n",
+       "  (5, 28),\n",
+       "  (5, 53),\n",
+       "  (6, 18),\n",
+       "  (6, 26),\n",
+       "  (6, 39),\n",
+       "  (7, 0),\n",
+       "  (7, 11),\n",
+       "  (7, 12),\n",
+       "  (7, 23),\n",
+       "  (7, 45),\n",
+       "  (7, 46),\n",
+       "  (8, 1),\n",
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+       "  (8, 38),\n",
+       "  (8, 53),\n",
+       "  (9, 19),\n",
+       "  (9, 21),\n",
+       "  (9, 39),\n",
+       "  (10, 4),\n",
+       "  (10, 10),\n",
+       "  (10, 20),\n",
+       "  (10, 22),\n",
+       "  (10, 24),\n",
+       "  (10, 29),\n",
+       "  (10, 33),\n",
+       "  (10, 54),\n",
+       "  (11, 34),\n",
+       "  (11, 38),\n",
+       "  (11, 42),\n",
+       "  (12, 0),\n",
+       "  (12, 2),\n",
+       "  (12, 16),\n",
+       "  (12, 22),\n",
+       "  (12, 35),\n",
+       "  (12, 46),\n",
+       "  (13, 14),\n",
+       "  (13, 31),\n",
+       "  (13, 37),\n",
+       "  (13, 39),\n",
+       "  (13, 41),\n",
+       "  (13, 54),\n",
+       "  (14, 1),\n",
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+       "  (14, 30),\n",
+       "  (14, 46),\n",
+       "  (14, 51),\n",
+       "  (15, 30),\n",
+       "  (15, 41),\n",
+       "  (15, 51),\n",
+       "  (15, 52),\n",
+       "  (15, 55),\n",
+       "  (16, 12),\n",
+       "  (16, 23),\n",
+       "  (16, 48),\n",
+       "  (17, 6),\n",
+       "  (17, 12),\n",
+       "  (17, 13),\n",
+       "  (17, 15),\n",
+       "  (17, 27),\n",
+       "  (18, 26),\n",
+       "  (18, 35),\n",
+       "  (19, 2),\n",
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+       "  (19, 18),\n",
+       "  (19, 26),\n",
+       "  (19, 31),\n",
+       "  (19, 45),\n",
+       "  (20, 16),\n",
+       "  (20, 23),\n",
+       "  (20, 24),\n",
+       "  (20, 51),\n",
+       "  (20, 54),\n",
+       "  (20, 55),\n",
+       "  (21, 16),\n",
+       "  (21, 29),\n",
+       "  (21, 40),\n",
+       "  (21, 42),\n",
+       "  (22, 2),\n",
+       "  (22, 8),\n",
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+       "  (23, 0),\n",
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+       "  (23, 21),\n",
+       "  (23, 48),\n",
+       "  (23, 52),\n",
+       "  (24, 0),\n",
+       "  (24, 1),\n",
+       "  (24, 16),\n",
+       "  (24, 55)],\n",
+       " 'e': [(0, 4),\n",
+       "  (0, 17),\n",
+       "  (0, 21),\n",
+       "  (0, 39),\n",
+       "  (0, 50),\n",
+       "  (0, 53),\n",
+       "  (0, 55),\n",
+       "  (1, 10),\n",
+       "  (1, 11),\n",
+       "  (1, 18),\n",
+       "  (1, 22),\n",
+       "  (1, 32),\n",
+       "  (1, 40),\n",
+       "  (1, 49),\n",
+       "  (1, 51),\n",
+       "  (1, 52),\n",
+       "  (2, 2),\n",
+       "  (2, 16),\n",
+       "  (2, 46),\n",
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+       "  (2, 51),\n",
+       "  (2, 55),\n",
+       "  (3, 5),\n",
+       "  (3, 12),\n",
+       "  (3, 30),\n",
+       "  (3, 33),\n",
+       "  (3, 42),\n",
+       "  (4, 5),\n",
+       "  (4, 7),\n",
+       "  (4, 10),\n",
+       "  (4, 19),\n",
+       "  (4, 31),\n",
+       "  (4, 42),\n",
+       "  (4, 43),\n",
+       "  (5, 6),\n",
+       "  (5, 16),\n",
+       "  (5, 17),\n",
+       "  (5, 18),\n",
+       "  (5, 25),\n",
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+       "  (6, 9),\n",
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+       "  (6, 12),\n",
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+       "  (10, 2),\n",
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+       "  (11, 3),\n",
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+       "  (11, 51),\n",
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+       "  (12, 9),\n",
+       "  (12, 12),\n",
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+       "  (12, 36),\n",
+       "  (12, 37),\n",
+       "  (12, 38),\n",
+       "  (12, 39),\n",
+       "  (12, 43),\n",
+       "  (12, 44),\n",
+       "  (12, 48),\n",
+       "  (12, 51),\n",
+       "  (13, 2),\n",
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+       "  (13, 26),\n",
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+       "  (13, 47),\n",
+       "  (14, 11),\n",
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+       "  (14, 31),\n",
+       "  (14, 32),\n",
+       "  (14, 50),\n",
+       "  (14, 53),\n",
+       "  (14, 55),\n",
+       "  (15, 21),\n",
+       "  (16, 2),\n",
+       "  (16, 6),\n",
+       "  (16, 10),\n",
+       "  (16, 13),\n",
+       "  (16, 30),\n",
+       "  (16, 35),\n",
+       "  (16, 37),\n",
+       "  (17, 5),\n",
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+       "  (18, 24),\n",
+       "  (18, 34),\n",
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+       "  (19, 13),\n",
+       "  (19, 19),\n",
+       "  (19, 29),\n",
+       "  (19, 30),\n",
+       "  (19, 47),\n",
+       "  (20, 1),\n",
+       "  (20, 5),\n",
+       "  (20, 12),\n",
+       "  (20, 13),\n",
+       "  (20, 25),\n",
+       "  (20, 37),\n",
+       "  (21, 2),\n",
+       "  (21, 3),\n",
+       "  (21, 15),\n",
+       "  (21, 20),\n",
+       "  (21, 22),\n",
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+       "  (21, 54),\n",
+       "  (22, 10),\n",
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+       "  (22, 22),\n",
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+       "  (22, 50),\n",
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+       "  (24, 12),\n",
+       "  (24, 18),\n",
+       "  (24, 21),\n",
+       "  (24, 28),\n",
+       "  (24, 33)],\n",
+       " 'h': [(0, 12),\n",
+       "  (0, 24),\n",
+       "  (0, 26),\n",
+       "  (0, 30),\n",
+       "  (1, 42),\n",
+       "  (1, 45),\n",
+       "  (2, 4),\n",
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+       "  (10, 11),\n",
+       "  (10, 32),\n",
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+       "  (12, 7),\n",
+       "  (12, 17),\n",
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+       "  (23, 1),\n",
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+       "  (24, 10),\n",
+       "  (24, 31)],\n",
+       " 'n': [(0, 46),\n",
+       "  (0, 52),\n",
+       "  (1, 20),\n",
+       "  (1, 33),\n",
+       "  (1, 39),\n",
+       "  (2, 19),\n",
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+       "  (5, 24),\n",
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+       "  (6, 20),\n",
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+       "  (7, 22),\n",
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+       "  (10, 3),\n",
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+       "  (10, 44),\n",
+       "  (10, 51),\n",
+       "  (11, 6),\n",
+       "  (11, 52),\n",
+       "  (12, 4),\n",
+       "  (12, 5),\n",
+       "  (12, 8),\n",
+       "  (12, 25),\n",
+       "  (12, 32),\n",
+       "  (12, 42),\n",
+       "  (12, 47),\n",
+       "  (13, 21),\n",
+       "  (13, 25),\n",
+       "  (13, 36),\n",
+       "  (13, 40),\n",
+       "  (13, 55),\n",
+       "  (14, 12),\n",
+       "  (14, 18),\n",
+       "  (15, 20),\n",
+       "  (15, 32),\n",
+       "  (15, 46),\n",
+       "  (16, 18),\n",
+       "  (16, 22),\n",
+       "  (16, 34),\n",
+       "  (16, 36),\n",
+       "  (17, 7),\n",
+       "  (17, 21),\n",
+       "  (17, 22),\n",
+       "  (17, 40),\n",
+       "  (17, 47),\n",
+       "  (17, 53),\n",
+       "  (17, 54),\n",
+       "  (18, 22),\n",
+       "  (18, 32),\n",
+       "  (18, 33),\n",
+       "  (18, 44),\n",
+       "  (18, 46),\n",
+       "  (19, 1),\n",
+       "  (19, 5),\n",
+       "  (19, 12),\n",
+       "  (19, 20),\n",
+       "  (19, 48),\n",
+       "  (19, 55),\n",
+       "  (20, 3),\n",
+       "  (20, 18),\n",
+       "  (20, 26),\n",
+       "  (21, 0),\n",
+       "  (21, 8),\n",
+       "  (21, 26),\n",
+       "  (21, 45),\n",
+       "  (21, 49),\n",
+       "  (22, 18),\n",
+       "  (22, 20),\n",
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+       "  (23, 5),\n",
+       "  (23, 8),\n",
+       "  (23, 16),\n",
+       "  (23, 32),\n",
+       "  (23, 33),\n",
+       "  (24, 22),\n",
+       "  (24, 40),\n",
+       "  (24, 45)],\n",
+       " 'p': [(0, 35),\n",
+       "  (0, 43),\n",
+       "  (0, 44),\n",
+       "  (3, 20),\n",
+       "  (3, 46),\n",
+       "  (4, 1),\n",
+       "  (4, 28),\n",
+       "  (5, 1),\n",
+       "  (5, 51),\n",
+       "  (6, 7),\n",
+       "  (6, 35),\n",
+       "  (6, 49),\n",
+       "  (7, 43),\n",
+       "  (8, 27),\n",
+       "  (10, 53),\n",
+       "  (11, 30),\n",
+       "  (14, 44),\n",
+       "  (15, 15),\n",
+       "  (15, 23),\n",
+       "  (15, 45),\n",
+       "  (17, 0),\n",
+       "  (17, 1),\n",
+       "  (18, 12),\n",
+       "  (18, 14),\n",
+       "  (18, 49),\n",
+       "  (18, 54),\n",
+       "  (21, 34),\n",
+       "  (22, 1),\n",
+       "  (22, 16),\n",
+       "  (22, 39),\n",
+       "  (22, 46),\n",
+       "  (24, 3),\n",
+       "  (24, 15),\n",
+       "  (24, 52)],\n",
+       " 's': [(0, 20),\n",
+       "  (0, 25),\n",
+       "  (1, 6),\n",
+       "  (1, 14),\n",
+       "  (1, 28),\n",
+       "  (1, 54),\n",
+       "  (2, 0),\n",
+       "  (2, 7),\n",
+       "  (2, 17),\n",
+       "  (2, 32),\n",
+       "  (2, 41),\n",
+       "  (2, 42),\n",
+       "  (3, 6),\n",
+       "  (3, 16),\n",
+       "  (3, 17),\n",
+       "  (3, 26),\n",
+       "  (3, 47),\n",
+       "  (3, 48),\n",
+       "  (4, 11),\n",
+       "  (4, 20),\n",
+       "  (5, 2),\n",
+       "  (5, 27),\n",
+       "  (5, 34),\n",
+       "  (5, 41),\n",
+       "  (6, 1),\n",
+       "  (6, 8),\n",
+       "  (7, 1),\n",
+       "  (7, 27),\n",
+       "  (7, 30),\n",
+       "  (7, 34),\n",
+       "  (7, 44),\n",
+       "  (7, 52),\n",
+       "  (7, 55),\n",
+       "  (8, 8),\n",
+       "  (8, 14),\n",
+       "  (8, 55),\n",
+       "  (9, 6),\n",
+       "  (9, 23),\n",
+       "  (9, 38),\n",
+       "  (9, 44),\n",
+       "  (9, 48),\n",
+       "  (9, 55),\n",
+       "  (10, 9),\n",
+       "  (11, 20),\n",
+       "  (11, 21),\n",
+       "  (11, 36),\n",
+       "  (12, 1),\n",
+       "  (12, 15),\n",
+       "  (12, 41),\n",
+       "  (12, 50),\n",
+       "  (13, 44),\n",
+       "  (13, 46),\n",
+       "  (13, 52),\n",
+       "  (14, 26),\n",
+       "  (14, 36),\n",
+       "  (15, 1),\n",
+       "  (15, 7),\n",
+       "  (15, 14),\n",
+       "  (15, 18),\n",
+       "  (15, 34),\n",
+       "  (15, 43),\n",
+       "  (16, 17),\n",
+       "  (16, 42),\n",
+       "  (18, 3),\n",
+       "  (18, 6),\n",
+       "  (18, 19),\n",
+       "  (18, 20),\n",
+       "  (18, 27),\n",
+       "  (18, 31),\n",
+       "  (19, 4),\n",
+       "  (19, 7),\n",
+       "  (19, 10),\n",
+       "  (19, 14),\n",
+       "  (19, 33),\n",
+       "  (19, 41),\n",
+       "  (19, 51),\n",
+       "  (20, 20),\n",
+       "  (21, 11),\n",
+       "  (22, 11),\n",
+       "  (22, 14),\n",
+       "  (22, 15),\n",
+       "  (22, 33),\n",
+       "  (22, 34),\n",
+       "  (22, 36),\n",
+       "  (24, 9),\n",
+       "  (24, 34),\n",
+       "  (24, 41),\n",
+       "  (24, 43)],\n",
+       " 'v': [(1, 36),\n",
+       "  (1, 48),\n",
+       "  (1, 55),\n",
+       "  (3, 8),\n",
+       "  (3, 21),\n",
+       "  (5, 43),\n",
+       "  (5, 46),\n",
+       "  (5, 49),\n",
+       "  (6, 10),\n",
+       "  (6, 47),\n",
+       "  (10, 17),\n",
+       "  (11, 46),\n",
+       "  (11, 55),\n",
+       "  (15, 10),\n",
+       "  (15, 36),\n",
+       "  (16, 21),\n",
+       "  (16, 51),\n",
+       "  (18, 15),\n",
+       "  (18, 18),\n",
+       "  (19, 6),\n",
+       "  (21, 23),\n",
+       "  (23, 25),\n",
+       "  (23, 31),\n",
+       "  (24, 32)]}"
+      ]
+     },
+     "execution_count": 21,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "letter_positions = {letter: [(r, c) for r, row in enumerate(rows) for c, char in enumerate(row) if char == letter] \n",
+    "                    for letter in deduplicate('phaseseven')}\n",
+    "letter_positions"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "{0: 'a',\n",
+       " 1: 'z',\n",
+       " 2: 'y',\n",
+       " 3: 'x',\n",
+       " 4: 'v',\n",
+       " 5: 'u',\n",
+       " 6: 't',\n",
+       " 7: 's',\n",
+       " 8: 'r',\n",
+       " 9: 'q',\n",
+       " 10: 'p',\n",
+       " 11: 'o',\n",
+       " 12: 'n',\n",
+       " 13: 'm',\n",
+       " 14: 'l',\n",
+       " 15: 'k',\n",
+       " 16: 'j',\n",
+       " 17: 'i',\n",
+       " 18: 'h',\n",
+       " 19: 'g',\n",
+       " 20: 'f',\n",
+       " 21: 'e',\n",
+       " 22: 'd',\n",
+       " 23: 'c',\n",
+       " 24: 'b'}"
+      ]
+     },
+     "execution_count": 22,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "keycolumn = make_cadenus_keycolumn(reverse=True)\n",
+    "inverse_keycolumn = {v: l for l, v in keycolumn.items()}\n",
+    "inverse_keycolumn"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "def valid_partial_solution(solution, inverse_keycolumn):\n",
+    "    row_indices = [p[0] for p in sorted(solution, key=lambda x: x[1])]\n",
+    "    row_letters = [inverse_keycolumn[i] for i in row_indices]\n",
+    "    letter_pairs = ngrams(row_letters, 2)\n",
+    "    return all(p[0] <= p[1] for p in letter_pairs)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "43005"
+      ]
+     },
+     "execution_count": 24,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "solutions = [[p] for p in letter_positions['p']]\n",
+    "for letter in 'ha': #'haseseven':\n",
+    "    new_solutions = []\n",
+    "    for solution in solutions:\n",
+    "        used_columns = [p[1] for p in solution]\n",
+    "        for position in letter_positions[letter]:\n",
+    "            if position[1] not in used_columns:\n",
+    "                if valid_partial_solution(solution + [position], inverse_keycolumn):\n",
+    "                    new_solutions += [solution + [position]]\n",
+    "    solutions = new_solutions\n",
+    "len(solutions)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 25,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "True"
+      ]
+     },
+     "execution_count": 25,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "valid_partial_solution(solutions[1], inverse_keycolumn)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "['pha',\n",
+       " 'ruo',\n",
+       " 'oll',\n",
+       " 'rea',\n",
+       " 'laa',\n",
+       " 'tut',\n",
+       " 'pei',\n",
+       " 'ead',\n",
+       " 'nrt',\n",
+       " 'imi',\n",
+       " 'non',\n",
+       " 'eie',\n",
+       " 'aed',\n",
+       " 'mir',\n",
+       " 'inl',\n",
+       " 'lwi',\n",
+       " 'eah',\n",
+       " 'eai',\n",
+       " 'aps',\n",
+       " 'cnl',\n",
+       " 'ren',\n",
+       " 'ege',\n",
+       " 'xoo',\n",
+       " 'eau',\n",
+       " 'uep']"
+      ]
+     },
+     "execution_count": 26,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "display = []\n",
+    "for p in solutions[1]:\n",
+    "    this_column = columns[p[1]]\n",
+    "    rotated_column = this_column[p[0]:] + this_column[:p[0]]\n",
+    "    display += [rotated_column]\n",
+    "display_rows = [''.join(r) for r in zip(*display)]\n",
+    "display_rows"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "def display_solution(solution, columns):\n",
+    "    display = []\n",
+    "    for p in solution:\n",
+    "        this_column = columns[p[1]]\n",
+    "        rotated_column = this_column[p[0]:] + this_column[:p[0]]\n",
+    "        display += [rotated_column]\n",
+    "    return [''.join(r) for r in zip(*display)]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 28,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "['pha',\n",
+       " 'ruo',\n",
+       " 'ols',\n",
+       " 'rer',\n",
+       " 'lai',\n",
+       " 'tul',\n",
+       " 'pei',\n",
+       " 'eaa',\n",
+       " 'nro',\n",
+       " 'ime',\n",
+       " 'nod',\n",
+       " 'eid',\n",
+       " 'aea',\n",
+       " 'mii',\n",
+       " 'int',\n",
+       " 'lwi',\n",
+       " 'eah',\n",
+       " 'eap',\n",
+       " 'apk',\n",
+       " 'cny',\n",
+       " 'rew',\n",
+       " 'egn',\n",
+       " 'xor',\n",
+       " 'eaa',\n",
+       " 'uea']"
+      ]
+     },
+     "execution_count": 28,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "display_solution(solutions[0], columns)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 29,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "-109.09171451522874"
+      ]
+     },
+     "execution_count": 29,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "sum(Ptrigrams(r) for r in display_rows)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 30,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "def score_solution(solution, columns):\n",
+    "    display = []\n",
+    "    for p in solution:\n",
+    "        this_column = columns[p[1]]\n",
+    "        rotated_column = this_column[p[0]:] + this_column[:p[0]]\n",
+    "        display += [rotated_column]\n",
+    "    display_rows = [''.join(r) for r in zip(*display)]\n",
+    "    return sum(Ptrigrams(r) for r in display_rows)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 31,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[([(0, 35), (0, 12), (0, 0)],\n",
+       "  ['pha',\n",
+       "   'ruo',\n",
+       "   'ols',\n",
+       "   'rer',\n",
+       "   'lai',\n",
+       "   'tul',\n",
+       "   'pei',\n",
+       "   'eaa',\n",
+       "   'nro',\n",
+       "   'ime',\n",
+       "   'nod',\n",
+       "   'eid',\n",
+       "   'aea',\n",
+       "   'mii',\n",
+       "   'int',\n",
+       "   'lwi',\n",
+       "   'eah',\n",
+       "   'eap',\n",
+       "   'apk',\n",
+       "   'cny',\n",
+       "   'rew',\n",
+       "   'egn',\n",
+       "   'xor',\n",
+       "   'eaa',\n",
+       "   'uea'],\n",
+       "  -112.23213925765266),\n",
+       " ([(0, 35), (0, 12), (0, 3)],\n",
+       "  ['pha',\n",
+       "   'ruo',\n",
+       "   'oll',\n",
+       "   'rea',\n",
+       "   'laa',\n",
+       "   'tut',\n",
+       "   'pei',\n",
+       "   'ead',\n",
+       "   'nrt',\n",
+       "   'imi',\n",
+       "   'non',\n",
+       "   'eie',\n",
+       "   'aed',\n",
+       "   'mir',\n",
+       "   'inl',\n",
+       "   'lwi',\n",
+       "   'eah',\n",
+       "   'eai',\n",
+       "   'aps',\n",
+       "   'cnl',\n",
+       "   'ren',\n",
+       "   'ege',\n",
+       "   'xoo',\n",
+       "   'eau',\n",
+       "   'uep'],\n",
+       "  -109.09171451522874),\n",
+       " ([(0, 35), (0, 12), (0, 9)],\n",
+       "  ['pha',\n",
+       "   'ruo',\n",
+       "   'old',\n",
+       "   'reo',\n",
+       "   'lan',\n",
+       "   'tur',\n",
+       "   'pee',\n",
+       "   'eae',\n",
+       "   'nro',\n",
+       "   'imc',\n",
+       "   'nos',\n",
+       "   'eir',\n",
+       "   'aee',\n",
+       "   'mim',\n",
+       "   'ini',\n",
+       "   'lwk',\n",
+       "   'ear',\n",
+       "   'eai',\n",
+       "   'api',\n",
+       "   'cno',\n",
+       "   'rei',\n",
+       "   'egh',\n",
+       "   'xof',\n",
+       "   'eat',\n",
+       "   'ues'],\n",
+       "  -105.51902198106185),\n",
+       " ([(0, 35), (0, 12), (0, 29)],\n",
+       "  ['pha',\n",
+       "   'rut',\n",
+       "   'olh',\n",
+       "   'rea',\n",
+       "   'lab',\n",
+       "   'tuo',\n",
+       "   'peo',\n",
+       "   'eat',\n",
+       "   'nrt',\n",
+       "   'imw',\n",
+       "   'noa',\n",
+       "   'eie',\n",
+       "   'aeh',\n",
+       "   'mii',\n",
+       "   'ine',\n",
+       "   'lwi',\n",
+       "   'eao',\n",
+       "   'ead',\n",
+       "   'api',\n",
+       "   'cne',\n",
+       "   'rec',\n",
+       "   'ega',\n",
+       "   'xol',\n",
+       "   'eal',\n",
+       "   'ueo'],\n",
+       "  -106.91642615054437),\n",
+       " ([(0, 35), (0, 12), (0, 41)],\n",
+       "  ['pha',\n",
+       "   'rur',\n",
+       "   'ols',\n",
+       "   'rex',\n",
+       "   'lal',\n",
+       "   'tus',\n",
+       "   'pen',\n",
+       "   'eac',\n",
+       "   'nrc',\n",
+       "   'ime',\n",
+       "   'nou',\n",
+       "   'eit',\n",
+       "   'aes',\n",
+       "   'mia',\n",
+       "   'int',\n",
+       "   'lwa',\n",
+       "   'eai',\n",
+       "   'eat',\n",
+       "   'apr',\n",
+       "   'cns',\n",
+       "   'ref',\n",
+       "   'egh',\n",
+       "   'xof',\n",
+       "   'eai',\n",
+       "   'ues'],\n",
+       "  -100.92420426683796),\n",
+       " ([(0, 35), (0, 12), (1, 44)],\n",
+       "  ['pha',\n",
+       "   'ruc',\n",
+       "   'olg',\n",
+       "   'ren',\n",
+       "   'laf',\n",
+       "   'tue',\n",
+       "   'pes',\n",
+       "   'eal',\n",
+       "   'nrs',\n",
+       "   'imn',\n",
+       "   'noi',\n",
+       "   'eie',\n",
+       "   'aes',\n",
+       "   'mip',\n",
+       "   'ind',\n",
+       "   'lwc',\n",
+       "   'eag',\n",
+       "   'ean',\n",
+       "   'aph',\n",
+       "   'cno',\n",
+       "   'ret',\n",
+       "   'egr',\n",
+       "   'xoe',\n",
+       "   'eai',\n",
+       "   'uep'],\n",
+       "  -108.53207489276411),\n",
+       " ([(0, 35), (0, 12), (1, 47)],\n",
+       "  ['pha',\n",
+       "   'rua',\n",
+       "   'ols',\n",
+       "   'rer',\n",
+       "   'lad',\n",
+       "   'tuv',\n",
+       "   'pee',\n",
+       "   'ean',\n",
+       "   'nrg',\n",
+       "   'imo',\n",
+       "   'noe',\n",
+       "   'ein',\n",
+       "   'aee',\n",
+       "   'mii',\n",
+       "   'iny',\n",
+       "   'lwr',\n",
+       "   'ean',\n",
+       "   'eai',\n",
+       "   'ape',\n",
+       "   'cnd',\n",
+       "   'rew',\n",
+       "   'egr',\n",
+       "   'xot',\n",
+       "   'eai',\n",
+       "   'ueg'],\n",
+       "  -109.50900823047225),\n",
+       " ([(0, 35), (0, 12), (2, 47)],\n",
+       "  ['pha',\n",
+       "   'rus',\n",
+       "   'olr',\n",
+       "   'red',\n",
+       "   'lav',\n",
+       "   'tue',\n",
+       "   'pen',\n",
+       "   'eag',\n",
+       "   'nro',\n",
+       "   'ime',\n",
+       "   'non',\n",
+       "   'eie',\n",
+       "   'aei',\n",
+       "   'miy',\n",
+       "   'inr',\n",
+       "   'lwn',\n",
+       "   'eai',\n",
+       "   'eae',\n",
+       "   'apd',\n",
+       "   'cnw',\n",
+       "   'rer',\n",
+       "   'egt',\n",
+       "   'xoi',\n",
+       "   'eag',\n",
+       "   'uea'],\n",
+       "  -114.40196859359595),\n",
+       " ([(0, 35), (0, 12), (3, 50)],\n",
+       "  ['pha',\n",
+       "   'ruw',\n",
+       "   'olt',\n",
+       "   'rer',\n",
+       "   'lad',\n",
+       "   'tue',\n",
+       "   'peh',\n",
+       "   'ear',\n",
+       "   'nrc',\n",
+       "   'ims',\n",
+       "   'noc',\n",
+       "   'eie',\n",
+       "   'aec',\n",
+       "   'mil',\n",
+       "   'inr',\n",
+       "   'lwr',\n",
+       "   'ear',\n",
+       "   'eai',\n",
+       "   'api',\n",
+       "   'cne',\n",
+       "   'ree',\n",
+       "   'ego',\n",
+       "   'xoe',\n",
+       "   'ear',\n",
+       "   'uee'],\n",
+       "  -106.68850150792129),\n",
+       " ([(0, 35), (0, 12), (4, 38)],\n",
+       "  ['pha',\n",
+       "   'rue',\n",
+       "   'olk',\n",
+       "   'reh',\n",
+       "   'laa',\n",
+       "   'tus',\n",
+       "   'peb',\n",
+       "   'eaa',\n",
+       "   'nre',\n",
+       "   'imd',\n",
+       "   'nor',\n",
+       "   'eit',\n",
+       "   'aeu',\n",
+       "   'mio',\n",
+       "   'int',\n",
+       "   'lwo',\n",
+       "   'eah',\n",
+       "   'eau',\n",
+       "   'apf',\n",
+       "   'cni',\n",
+       "   'rey',\n",
+       "   'egg',\n",
+       "   'xoo',\n",
+       "   'ean',\n",
+       "   'uet'],\n",
+       "  -108.49770543928673)]"
+      ]
+     },
+     "execution_count": 31,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "[(s, display_solution(s, columns), score_solution(s, columns)) for s in solutions[:10]]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 32,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[[(0, 35), (0, 12), (0, 41)],\n",
+       " [(0, 35), (0, 12), (0, 9)],\n",
+       " [(0, 35), (0, 12), (3, 50)],\n",
+       " [(0, 35), (0, 12), (0, 29)],\n",
+       " [(0, 35), (0, 12), (4, 38)],\n",
+       " [(0, 35), (0, 12), (1, 44)],\n",
+       " [(0, 35), (0, 12), (0, 3)],\n",
+       " [(0, 35), (0, 12), (1, 47)],\n",
+       " [(0, 35), (0, 12), (0, 0)],\n",
+       " [(0, 35), (0, 12), (2, 47)]]"
+      ]
+     },
+     "execution_count": 32,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "sorted(solutions[:10], key=lambda s: score_solution(s, columns), reverse=True)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 33,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "solutions = sorted(solutions, key=lambda s: score_solution(s, columns), reverse=True)[:10000]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 34,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "10000"
+      ]
+     },
+     "execution_count": 34,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "for letter in 'seseven': #'haseeight':\n",
+    "    new_solutions = []\n",
+    "    for solution in solutions:\n",
+    "        used_columns = [p[1] for p in solution]\n",
+    "        for position in letter_positions[letter]:\n",
+    "            if position[1] not in used_columns:\n",
+    "                if valid_partial_solution(solution + [position], inverse_keycolumn):\n",
+    "                    new_solutions += [solution + [position]]\n",
+    "    solutions = sorted(new_solutions, key=lambda s: score_solution(s, columns), reverse=True)[:10000]\n",
+    "len(solutions)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 35,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "['phaseseven',\n",
+       " 'ninmelcalh',\n",
+       " 'andodrinho',\n",
+       " 'lmedyierts',\n",
+       " 'reaapstnen',\n",
+       " 'entaryafts',\n",
+       " 'sconhysefe',\n",
+       " 'birnerctan',\n",
+       " 'entaergeno',\n",
+       " 'wioontomoi',\n",
+       " 'ittretedus',\n",
+       " 'dttheselin',\n",
+       " 'ertalriesn',\n",
+       " 'enpraiaatp',\n",
+       " 'evisateths',\n",
+       " 'aytrvioymi',\n",
+       " 'feewiaihin',\n",
+       " 'lsnaltemai',\n",
+       " 'racessdctr',\n",
+       " 'odreacyugg',\n",
+       " 'itliciaooa',\n",
+       " 'ittrapinds',\n",
+       " 'trareseshh',\n",
+       " 'aecefdanst',\n",
+       " 'ancertalex']"
+      ]
+     },
+     "execution_count": 35,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "display_solution(solutions[0], columns)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 36,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "849"
+      ]
+     },
+     "execution_count": 36,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "hinted_keywords = [w for w in keywords if w[0] =='f' if len(transpositions_of(w)) == 7]\n",
+    "len(hinted_keywords)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 37,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "['fabrics',\n",
+       " 'facings',\n",
+       " 'faction',\n",
+       " 'factors',\n",
+       " 'factory',\n",
+       " 'faculty',\n",
+       " 'fadeout',\n",
+       " 'failure',\n",
+       " 'fainest',\n",
+       " 'fainted']"
+      ]
+     },
+     "execution_count": 37,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "hinted_keywords[:10]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 38,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "175"
+      ]
+     },
+     "execution_count": 38,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "first_chunk = c8bl[:175]\n",
+    "len(first_chunk)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 39,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "['gatlrlnjtonethnirreh',\n",
+       " 'raorejnptreanhriaeso',\n",
+       " 'raohoanptraesrriasul',\n",
+       " 'raohhanptraemrriasln',\n",
+       " 'raorhaeptrnemsrianln',\n",
+       " 'raonlneptrnissriaaoc',\n",
+       " 'garhrarjtartsnnifphn',\n",
+       " 'raoaalapteesnfriunnr',\n",
+       " 'raonanhpterfrariutpn',\n",
+       " 'garehhrjteaaraniessp',\n",
+       " 'raonhalpterafnriutsp',\n",
+       " 'fainrleptorniseirtno',\n",
+       " 'raoaanhptemfrariunpn',\n",
+       " 'raloannptirsrhrioalt',\n",
+       " 'falmireptinonseiosrn',\n",
+       " 'ralhaanptiafmrriospn',\n",
+       " 'faeilenptnoisreirroo',\n",
+       " 'raeoeanptneafhrirusp',\n",
+       " 'earotktntvrugheivarj',\n",
+       " 'gaeorhojtarernnisaep',\n",
+       " 'gaeorhnjtarerhnisaep',\n",
+       " 'raeooaeptareesrisaun',\n",
+       " 'garnahrjtvenranivrep',\n",
+       " 'raalaenptmifsrrinopo',\n",
+       " 'faoeoepptnneareihrus',\n",
+       " 'falhonpptnaerreirsut',\n",
+       " 'fanroanpthiesreiaoul',\n",
+       " 'fanhonpptraerreinsut',\n",
+       " 'rahnaanptaofmrrisepn',\n",
+       " 'fahrrinptaitoreisohh',\n",
+       " 'rarrjaaptnensfrineon',\n",
+       " 'gaaohrmjtsrrnnninapn',\n",
+       " 'gaaarhrjtsenraninnnp',\n",
+       " 'gasrlhrjtntnraniehrp',\n",
+       " 'fasanomptnensneieean',\n",
+       " 'raalrempftinsnrpiono',\n",
+       " 'raaorejpftneanrpihes',\n",
+       " 'ghrrlanjratnthnpfhri',\n",
+       " 'gharnarjreaetvnpnfai',\n",
+       " 'frtroenppwthsredoheo',\n",
+       " 'frahoepppeaearednsus',\n",
+       " 'raeaoalpfnsntirprlhi',\n",
+       " 'raaiahnpfmotarrpnhis',\n",
+       " 'froiianppnoosredhhrl',\n",
+       " 'rahrinnpfaeeorrpsere',\n",
+       " 'rahaaiupfaeselrpsnlr',\n",
+       " 'raaerejpfsreanrpnpes',\n",
+       " 'graeohnjetarrhneisap',\n",
+       " 'fitahanpoimesrerenln',\n",
+       " 'grtaaahjeosntrnernei',\n",
+       " 'rotaaanpeosetrrurnni',\n",
+       " 'roieaaopeeanfnrureep',\n",
+       " 'rrejahnpernfarrepops',\n",
+       " 'rrejarepernfnsrepopn',\n",
+       " 'fopalrnpertntheuiirh',\n",
+       " 'frpnhrlperoapneeiesd',\n",
+       " 'foperehpernpaaeuirds',\n",
+       " 'fopalaapersnteeuinri',\n",
+       " 'rrjalaepensnfrreonrp',\n",
+       " 'fopaarnpersmpreuinnd',\n",
+       " 'roatalhpeeifnarunepr',\n",
+       " 'gtfiehrjuterranrrrep',\n",
+       " 'rrainanpeneofhreerep',\n",
+       " 'filhranpoiapmrerosdn',\n",
+       " 'rrrajaapevtnnfrevioe',\n",
+       " 'roeaaanpeatefhrusinp',\n",
+       " 'rreinanpeaeofhresrep',\n",
+       " 'ronealnperrfnhrutppr',\n",
+       " 'fioraenpohpmsreredno',\n",
+       " 'fonprlnperrpnheutidr',\n",
+       " 'finlrenporipsrertodo',\n",
+       " 'rrlatajpenfisnrerpen',\n",
+       " 'rooaeaepenfntaruhpri',\n",
+       " 'fiairnhpomopraernhdn',\n",
+       " 'pfomrteddsnnwstcnsno',\n",
+       " 'rrninalpeheofnrearep',\n",
+       " 'fonrraeperipmseunodn',\n",
+       " 'fonrnrhperirpaeunotd',\n",
+       " 'pfnsoaiddsoseetccrne',\n",
+       " 'grnatahjeetonrnesire',\n",
+       " 'grnarhrjeetnranesinp',\n",
+       " 'ronarampeetnfnrusinp',\n",
+       " 'roaaeaepeifresrueppn',\n",
+       " 'finnnorpoesnsperscan',\n",
+       " 'rosaanmpeoftnnrurpia',\n",
+       " 'flapannpitrsrheoiilt',\n",
+       " 'raaeoaopntaefnreieup',\n",
+       " 'faaeorppntaevreeieuv',\n",
+       " 'eaattktnntrogheeivrj',\n",
+       " 'gaanthnjeteorhnniarp',\n",
+       " 'rlaealnpitnfnhroirpr',\n",
+       " 'faanorppeteevreniauv',\n",
+       " 'raaejanpetanfhrnisop',\n",
+       " 'gaarehrjntvaraneivep',\n",
+       " 'raaeuaopetalfnrnisip',\n",
+       " 'faaooeppetnearenihus',\n",
+       " 'gaanehrjnthrraneiaep',\n",
+       " 'raannalpethofnrniaep',\n",
+       " 'eaahtktnntaogheeisrj',\n",
+       " 'ftaaormpwtshnneoinen',\n",
+       " 'ftashanpwtnemreoieln',\n",
+       " 'ftashnapwtnenmeoiela',\n",
+       " 'faasoeppetnearenieus',\n",
+       " 'faaeoeppetsearenious',\n",
+       " 'farnorppepeevrendauv',\n",
+       " 'farnonrpepeehiendaua',\n",
+       " 'farnoeppepeearendsus',\n",
+       " 'gfrirhrjteearanrernp',\n",
+       " 'raoieaopneeafnreurep',\n",
+       " 'paoprhndeeeiartnufos',\n",
+       " 'paoprredeeeinstnufon',\n",
+       " 'faoeirnpeeaeihenusro',\n",
+       " 'raolhaepeenafrrnursp',\n",
+       " 'gaaahhrjestarannlisp',\n",
+       " 'rlrahalpittafnrohisp',\n",
+       " 'gaviehrjnvearaneorep',\n",
+       " 'raaoorapesneatrnlhuf',\n",
+       " 'flaoinrpisnorpeolhrt',\n",
+       " 'ptrlfondwtndhhtohrce',\n",
+       " 'pthafnhdwemdratolncn',\n",
+       " 'ftrhnaipwtartoeohsni',\n",
+       " 'rlaaniapissrefrolntr',\n",
+       " 'rlralaepitsnfrrohnrp',\n",
+       " 'rlraraepitsnfrrohnnp',\n",
+       " 'fthsranpwenpmreoledn',\n",
+       " 'fthnraepweapmseolidn',\n",
+       " 'plasinpdisnoretolert',\n",
+       " 'rlnaniepinfresroaptr',\n",
+       " 'faauirlpeslopnennird',\n",
+       " 'raaeuaepesalfrrnnsip',\n",
+       " 'flnnrrepinrtpseoatwd',\n",
+       " 'faaeuirpesalopennsir',\n",
+       " 'ptnocemdwnhesntoaeto',\n",
+       " 'raannaepesrofrrnnnep',\n",
+       " 'flanrrapisripmeonnod',\n",
+       " 'ftamrropwsnnpseonsnd',\n",
+       " 'plarinpdisnoretonnrt',\n",
+       " 'plnninpdineoretoasrt',\n",
+       " 'pleinpndisorertoortf',\n",
+       " 'ftehnrapwseapmeoolid',\n",
+       " 'fvaaoeppvteeareoinus',\n",
+       " 'raaeoaopstnefnrlirup',\n",
+       " 'fvaeoeppvtneareoirus',\n",
+       " 'grianhrjtesrranhrnnp',\n",
+       " 'fhpaarepertmnseliinn',\n",
+       " 'raotaanpseiefhrluenp',\n",
+       " 'rronhaepterafrrhunsp',\n",
+       " 'rrlealnptirfnhrhoppr',\n",
+       " 'fvaeoeppvereareonpus',\n",
+       " 'frlprlnptirpnhehoidr',\n",
+       " 'rvarajapvnetnfroeeio',\n",
+       " 'raaoahapseetafrlnuis',\n",
+       " 'frwrohnptopharehades',\n",
+       " 'rroeanhpthrfrarheppn',\n",
+       " 'ranelanpsrrifhrltpop',\n",
+       " 'rroeaanpthrsfrrhepnp',\n",
+       " 'gaoanhrjsnteranlhirp',\n",
+       " 'rrlajanptntnfhrhriop',\n",
+       " 'grlaehrjtntsranhriop',\n",
+       " 'eaotatknsnothgelhrir',\n",
+       " 'rrltornptnieahrhreuf',\n",
+       " 'rhliatnpenefhhrlrrpa',\n",
+       " 'faoionppsneerrelhrut',\n",
+       " 'raornaepsnaotnrlhfei',\n",
+       " 'faoeonppsnrerrelhput',\n",
+       " 'faoropnpsnperrelhdui',\n",
+       " 'raoaianpsnfotrrlhphi',\n",
+       " 'rhaanaspemfrtnrlnpni',\n",
+       " 'rrljasaptnntnfrhroie',\n",
+       " 'fhaprhnpemrparelnids',\n",
+       " 'frlposrptnrenpehriue',\n",
+       " 'paouinpdsnloretlhirt',\n",
+       " 'frliatnptnotwhehrhio',\n",
+       " 'frlwaohptnothaehraie',\n",
+       " 'rrliahaptnotafrhrhis',\n",
+       " 'fhawahnpemotarelnais',\n",
+       " 'raoeooapsnnertrlhrua',\n",
+       " 'paoiinpdsnooretlhhrt',\n",
+       " 'frliataptnoswtehrhno',\n",
+       " 'rrlnauaptnhtlfrhraii',\n",
+       " 'fhahirnpemaoprelnsrd',\n",
+       " 'fharaorpemnsapelnnne',\n",
+       " 'fhasrorpemnpanelnede',\n",
+       " 'fhatrmrpeswpnnelnods',\n",
+       " 'paalinpdssioretlnort',\n",
+       " 'rraoealptshrfnrhnepp',\n",
+       " 'fhnoeaepenarmselaepn',\n",
+       " 'paaoremdessnfntennnd',\n",
+       " 'paslinpdsnioretleort',\n",
+       " 'fhnirmrpeeopnnelsrds',\n",
+       " 'frnrailptentoiehsnir',\n",
+       " 'roajraapntnenfrhioee',\n",
+       " 'faailrepmtoinseniron',\n",
+       " 'foaeoeppntnearehirus',\n",
+       " 'glanohnjntrrrhnritap',\n",
+       " 'rlanoonpntrrehrritau',\n",
+       " 'goaeehrjntaaranhisep',\n",
+       " 'roaeuaapntalferhisip',\n",
+       " 'roaeeoapntaaefrhiseu',\n",
+       " 'flanrlepntrtiseritwo',\n",
+       " 'rlanhoopntraerrritsu',\n",
+       " 'faaapnrpmtsroneninie',\n",
+       " 'flaeonppntserreriout',\n",
+       " 'glhrranjnreathnrpefi',\n",
+       " 'flrrpnhpnperoaerdeie',\n",
+       " 'flrwrohpnpothaerdahe',\n",
+       " 'rlaninnpnfreohrrptre',\n",
+       " 'forosimpspaoenenderu',\n",
+       " 'farnrlepmpriisendnoo',\n",
+       " 'goratahjnetonrnheire',\n",
+       " 'raoraenpmeatsrrnufio',\n",
+       " 'rlrejanpnernfhrrepop',\n",
+       " 'gorhraejneratanhepfi',\n",
+       " 'glrhranjnerathnrepfi',\n",
+       " 'rloanenpnefrrhrruptp',\n",
+       " 'rlrjahapnentafrreois',\n",
+       " 'paoprhndmeeiartnufos',\n",
+       " 'rorejaepneanfrrhesop',\n",
+       " 'flonprnpnerrpherutid',\n",
+       " 'rloneaepnehafrrruaep',\n",
+       " 'foapianpnsrotrehlihi',\n",
+       " 'foapirnpnsroprehlihd',\n",
+       " 'flrliinpntioeherhorr',\n",
+       " 'flrohatpnthatwerhesi',\n",
+       " 'rlrohaepnthafrrrhesp',\n",
+       " 'rahnhaepmerafrrnlnsp',\n",
+       " 'rlrhnaepntaofrrrhsep',\n",
+       " 'rlrsoaepntnhfrrrheep',\n",
+       " 'raaoraepmsenfrrnnunp',\n",
+       " 'raonnrapsroretrnaene',\n",
+       " 'raiuaanpselfmrrnripn',\n",
+       " 'faieoeppseaearenreus',\n",
+       " 'faraoeppspeearendnus',\n",
+       " 'falaninpsitrorenoitr',\n",
+       " 'fatnrirpswrtopenonhh',\n",
+       " 'paerhomdstneantnvnle',\n",
+       " 'gantahrjseierannaenp',\n",
+       " 'raetlalpsniifnrnreop',\n",
+       " 'raetlanpsniifrrnreop',\n",
+       " 'faoirhapsaenemenernl',\n",
+       " 'raoeaanpshrfmrrneppn',\n",
+       " 'ranalalpsrfntirntpri',\n",
+       " 'fanpaoepsrrserentilu',\n",
+       " 'fanuirlpsrlopnentird',\n",
+       " 'faatonrpsmierienneun',\n",
+       " 'pallinpdsnioretnrort',\n",
+       " 'paltropdsnwthetnrohe',\n",
+       " 'galnaohjsnrtrrnnrtia',\n",
+       " 'paaoinedsmhorftnnern',\n",
+       " 'fnonisrpnssonpeancre',\n",
+       " 'ranotaapsreiefrnnuen',\n",
+       " 'famriaopsnnothensnri',\n",
+       " 'famriropsnnopsensnrd',\n",
+       " 'pnnsiopdnsoohetacrre',\n",
+       " 'ratalrnptositnrirnoh',\n",
+       " 'ealktvanttgovseihjro',\n",
+       " 'gaoharajtrrnelniapee',\n",
+       " 'gaorahfjtrenrtniaeep',\n",
+       " 'raooathptreeuariaunr',\n",
+       " 'raorrhtptrntanrianhs',\n",
+       " 'faoatolpteeuaeeiunre',\n",
+       " 'failnraptoirtleironh',\n",
+       " 'raonhanpterafrriutsp',\n",
+       " 'rarojaaptennsfriehol',\n",
+       " 'raolnanptenrfhriurtp',\n",
+       " 'failthoptonheneirral',\n",
+       " 'faionoiptosarneirnis',\n",
+       " 'faorrasptenilceiunoe',\n",
+       " 'fatlvnnptwivnseioooa',\n",
+       " 'gaaavlajtenvcfnineoe',\n",
+       " 'ralnahnptirfasrionps',\n",
+       " 'falmireptinonseiosrn',\n",
+       " 'gaahhlajtearnfninspr',\n",
+       " 'ranoafrpteeedariaunc',\n",
+       " 'ranrnnapteehofriaeae',\n",
+       " 'ranonfcptrrtdhritsnc',\n",
+       " 'raeooasptarelcrisaue',\n",
+       " 'raeoeroptarsehrisaoe',\n",
+       " 'raoenuvptnnohurihrec',\n",
+       " 'raoeluvptnnihurihroc',\n",
+       " 'galavlajtnmvcfnirnoe',\n",
+       " 'raahnanptmaofrrinsep',\n",
+       " 'ganorctjthrehwniaaeo',\n",
+       " 'fanroanpthiesreiaoul',\n",
+       " 'ganhhnajtrarrfninspt',\n",
+       " 'ranhaoyptrafherinspe',\n",
+       " 'fahattmptacwuneiseor',\n",
+       " 'gahehfhjtarrtonisepo',\n",
+       " 'gahehlajtarrnfnisepr',\n",
+       " 'fanlnifptnisoteiaocr',\n",
+       " 'faamriaptsnnoceinsnr',\n",
+       " 'raalnripftnhtorpirah',\n",
+       " 'ghanrtajrtheonnpiaer',\n",
+       " 'raahnylpftaoenrpisen',\n",
+       " 'raarnyopftnoenrpinen',\n",
+       " 'gharaaajrtnsmfnpinnn',\n",
+       " 'raaraoypftnsserpinnn',\n",
+       " 'ghtanaojromntnnprnai',\n",
+       " 'ghrosefjraoyttnpfgdt',\n",
+       " 'ghrraocjraamdhnpflns',\n",
+       " 'oykrtcsgegaiatfnjfel',\n",
+       " 'ekhrtulngraiheejpfec',\n",
+       " 'rarstolpfpyuherpdere',\n",
+       " 'fryltolppeiuaeednore',\n",
+       " 'ghaatoojrnfsdrnpepys',\n",
+       " 'gharooojrnerdrnpeeas',\n",
+       " 'raaoithpfeeeuarpnurr',\n",
+       " 'raafontpfesrturpnrsn',\n",
+       " 'frlanirppisroaedoltr',\n",
+       " 'friintnppooruhedhrtr',\n",
+       " 'raeirolpfaeeherpsree',\n",
+       " 'frawkrrppmogvnednajv',\n",
+       " 'ghonavhjrnrtuonphtir',\n",
+       " 'frloiroppnnaeaedrhae',\n",
+       " 'raankrspfmaghtrpnije',\n",
+       " 'frosanappsnenmedneea',\n",
+       " 'rahrinopfaeeoorpsere',\n",
+       " 'frsyoteppnesugedennr',\n",
+       " 'raeniaepfsrotarpothi',\n",
+       " 'granoahjethrsrneiaal',\n",
+       " 'fiihrhepoeaeeaerrsel',\n",
+       " 'roeseooperytonrupevg',\n",
+       " 'roeaathperfeuaruppnr',\n",
+       " 'grtaooujehsrdhnernas',\n",
+       " 'roaaeoopeferonrupnpg',\n",
+       " 'rraaesopefnrmhrepepn',\n",
+       " 'rraeesspefarmnrepspn',\n",
+       " 'roaliyfpefneetruprrn',\n",
+       " 'roaaionpefmeohrupnrg',\n",
+       " 'fopalrrpersneheuinre',\n",
+       " 'frainsopeneomaeeeren',\n",
+       " 'roaaranpeefvterunpvi',\n",
+       " 'filanvspoieevyeronao',\n",
+       " 'fileoonpoindoherorsg',\n",
+       " 'roatsecpenrrteruevht',\n",
+       " 'roahalrpeeafnprunspr',\n",
+       " 'foahroopeeaidoeunsos',\n",
+       " 'roahlaipeeanthrunsri',\n",
+       " 'roeaasapeatemirusinn',\n",
+       " 'finaltnportiuhertior',\n",
+       " 'finalthportiuaertior',\n",
+       " 'roeaaswpeatemfrusinn',\n",
+       " 'etravehnuvtuhrervirk',\n",
+       " 'greavlrjeatutanesirh',\n",
+       " 'rrejaorpeanfnpresoph',\n",
+       " 'rresserpeamnfpresntd',\n",
+       " 'fonsetopermgooeutnhd',\n",
+       " 'fiotdeopohuotnererot',\n",
+       " 'fintdkfporuogtertroj',\n",
+       " 'roeaavtpeaeturrusnir',\n",
+       " 'rolaaatpenftmrrurpin',\n",
+       " 'grohtaajenrotnnehpri',\n",
+       " 'rooataepenfisnruhpel',\n",
+       " 'fiargfipompjteerndnr',\n",
+       " 'fiargvapompjvierndno',\n",
+       " 'rolahsepenfaytrurpsd',\n",
+       " 'rolasaapenfnterurpei',\n",
+       " 'rolasrhpenfnterurpeh',\n",
+       " 'filrsroponpntserrdeh',\n",
+       " 'filinrnponorpherrhtd',\n",
+       " 'rolesatpennntarurrei',\n",
+       " 'ronoaafperrtetrunain',\n",
+       " 'fonrraeperipmseunodn',\n",
+       " 'fonrnrhperirpaeunotd',\n",
+       " 'fonrharperiateeunosi',\n",
+       " 'ronnstrperhcaprunaei',\n",
+       " 'rosaorfpenfgtsruepfh',\n",
+       " 'fonarropeetneaeusine',\n",
+       " 'finarrhpoetneeersine',\n",
+       " 'ronantipeetsuirusicr',\n",
+       " 'gaattirjntotoaneirsr',\n",
+       " 'raajvaepetnostrniool',\n",
+       " 'flaplerpitrntveoiirt',\n",
+       " 'faareoopntvaeaeeiveu',\n",
+       " 'raaveftpntoutsreiolo',\n",
+       " 'rlatroopithionroiatg',\n",
+       " 'faavetopetoluaenioor',\n",
+       " 'raannalpethofnrniaep',\n",
+       " 'raannanpetrofhrninep',\n",
+       " 'faanrofpetrieteninou',\n",
+       " 'rlahoelpitartnroisat',\n",
+       " 'faahgtepetajugenisnr',\n",
+       " 'gaahehfjntarrtneisep',\n",
+       " 'rlahnanpitarfrroistp',\n",
+       " 'rlahiyepitahearoisin',\n",
+       " 'rlahiylpitahenroisin',\n",
+       " 'rlariyopitnhenroinin',\n",
+       " 'faahntopetatuaenisnr',\n",
+       " 'ftahnrspwtattleoisnh',\n",
+       " 'rlarsetpitnntaroinet',\n",
+       " 'flaarimpitsnoneoinnr',\n",
+       " 'gaannhajeterrfnnisnp',\n",
+       " 'raartsopnfpsmhrepdyn',\n",
+       " 'farrntopepatuaendlnr',\n",
+       " 'farnonrpepeehiendaua',\n",
+       " 'farnroopephieoendaou',\n",
+       " 'raahinopefaeoornpsre',\n",
+       " 'raaaotfpefieitrnpeue',\n",
+       " 'flrnriepipenoneodsnr',\n",
+       " 'rlannaapifenmtropsan',\n",
+       " 'faoiesopneeamaeeuren',\n",
+       " 'flienoopionhdoeorras',\n",
+       " 'flinhoopioradoeortss',\n",
+       " 'fliseerpiolstveorlst',\n",
+       " 'fliteoopiohsoneorasg',\n",
+       " 'fliteonpiohsoheorasg',\n",
+       " 'plilhrvdionaeutorrse',\n",
+       " 'favhhtopevekuaenosgr',\n",
+       " 'plavdrvdisveeutologe',\n",
+       " 'flrvtoopitvcdoeohoas',\n",
+       " 'flrseorpitledaeohlds',\n",
+       " 'flrseorpitledaeohlds',\n",
+       " 'plavervdisoeeutolode',\n",
+       " 'rlaoanipisnfrerolhpt',\n",
+       " 'flrliefpitnorteohrrp',\n",
+       " 'pthafnhdwemdratolncn',\n",
+       " 'planervdishgeutolahe',\n",
+       " 'ftrhnaipwtartoeohsni',\n",
+       " 'rlrsalrpitnfnprohepr',\n",
+       " 'faatctopesieuaennehr',\n",
+       " 'ftnronfpwnphsteoadec',\n",
+       " 'flnierhpinoreaeoarpe',\n",
+       " 'paaeuivdesaloutnnsir',\n",
+       " 'raalofrpesnsdprnnrnc',\n",
+       " 'flaadoopismedoeonngs',\n",
+       " 'flamrrnpisnipreonsod',\n",
+       " 'ftamrropwsnnpseonsnd',\n",
+       " 'ftardkapwsnogmeonnoj',\n",
+       " 'ftnndkopwnsogneoacoj',\n",
+       " 'rletaropishtiorooait',\n",
+       " 'flemrropisnipoeoosod',\n",
+       " 'grianeajtesrgfnhrnnh',\n",
+       " 'rajtvsvpsnivcurloeoe',\n",
+       " 'frpjoonptrndohehiosg',\n",
+       " 'prpraordteissvthfoln',\n",
+       " 'prinhovdtoraeuthrnsu',\n",
+       " 'rrlranoptiatarrhofii',\n",
+       " 'palrnrvdsithtutlowah',\n",
+       " 'raianhrpsofraprlhpts',\n",
+       " 'rrorarrpthatvnrhefiv',\n",
+       " 'fveeaoopvareeaeospnu',\n",
+       " 'ranhaovpsrateurltsiu',\n",
+       " 'fhafyoipeeseneelernh',\n",
+       " 'rrhfaiuptetiehrhlrhr',\n",
+       " 'rrvdapoptvoceorhooef',\n",
+       " 'prvgovgdtvheuftholur',\n",
+       " 'frvgsaeptvhrcaeholhe',\n",
+       " 'rhahirepesaiptrllsed',\n",
+       " 'rrlajaoptntnfnrhriop',\n",
+       " 'faoaponpsntrerelhiiu',\n",
+       " 'grlthaojtnortnnhrrpi',\n",
+       " 'rrliaatptneflnrhrrpe',\n",
+       " 'rhliatnpenefhhrlrrpa',\n",
+       " 'rrlaaotptnftsrrhrpin',\n",
+       " 'gaoherfjsnrrptnlhped',\n",
+       " 'frlrlhlptnpireehrdop',\n",
+       " 'raoaahepsnfeehrlhpns',\n",
+       " 'fharwanpemposhelndal',\n",
+       " 'raoanaipsnfrtorlhpti',\n",
+       " 'rhaanhrpemfraprlnpns',\n",
+       " 'faormropespnnneendsn',\n",
+       " 'rrlahhfptnfaesrhrpsl',\n",
+       " 'rrlasaoptnfntsrhrpei',\n",
+       " 'fharshepempnraelndep',\n",
+       " 'fhaphsrpemdrmnelntpn',\n",
+       " 'fhaproipemrpneelnidh',\n",
+       " 'prlrlfadtntidlthrwoc',\n",
+       " 'frliatfptnotwtehrhio',\n",
+       " 'frlirdfptnopetehrhdg',\n",
+       " 'frlitrnptnowphehrhod',\n",
+       " 'frlwvyaptnovdcehraoo',\n",
+       " 'rrlnauaptnhtlfrhraii',\n",
+       " 'rhansaapemrnftrlnnep',\n",
+       " 'frlhorgptnaephehrsud',\n",
+       " 'fhahscepemayaaelnsdl',\n",
+       " 'rhasathpemntaorlneii',\n",
+       " 'rhnhaarperafmprlnspn',\n",
+       " 'rraoataptsrtnnrhnair',\n",
+       " 'fratornptswhprehnoed',\n",
+       " 'faaneoopssrreaelntpu',\n",
+       " 'fraoraiptshntoehneni',\n",
+       " 'fhaanaspesmrerelnnne',\n",
+       " 'fhaarrhpesmnprelnnnd',\n",
+       " 'frnplaopterissehsiol',\n",
+       " 'frnrhfopteiesoehsolr',\n",
+       " 'frnratrpteisnhehsolr',\n",
+       " 'raaohaapmtracnrniase',\n",
+       " 'gaaoradjmtrnsenniann',\n",
+       " 'goaeorojntareanhisae',\n",
+       " 'foaeeoopntaaeaehiseu',\n",
+       " 'foaeuaipntaleoehisin',\n",
+       " 'raasoalpmtoefnrnirup',\n",
+       " 'glasntajntoewfnrirto',\n",
+       " 'raasaeopmtoatornircv',\n",
+       " 'gohieaajnreanfnhpree',\n",
+       " 'rlaiuarpnfelearrprin',\n",
+       " 'gohraocjnramdhnhpfns',\n",
+       " 'glhraosjnramdtnrpfns',\n",
+       " 'gohassujnrfyrhnhppeh',\n",
+       " 'rlarshtpnfpyerrrpdel',\n",
+       " 'gohytuvjnreohunhpndc',\n",
+       " 'roakfrfpnfgttsrhpjuh',\n",
+       " 'flrkrolpnpgeaeerdjee',\n",
+       " 'gohyahfjnrenetnhpnes',\n",
+       " 'rlakserpnfgrtvrrpjht',\n",
+       " 'faronvlpmpotvcendgno',\n",
+       " 'roaoooipsfosrnrnpgns',\n",
+       " 'flrraropnpaaeaerdlce',\n",
+       " 'rlaninrpnfreoarrptre',\n",
+       " 'rlanrnopnfratdrrptln',\n",
+       " 'rlansorpnfroeprrptru',\n",
+       " 'farosiopmphoooenderr',\n",
+       " 'farlahepmposraendsnp',\n",
+       " 'flrnriypnphioeerdaoh',\n",
+       " 'flrhnropnpateaerdsne',\n",
+       " 'farrshdpmpnneeendnel',\n",
+       " 'fliihrhpnoeaeeerrrse',\n",
+       " 'floposfpnerdyteruise',\n",
+       " 'pafnrofdmdrtettncnwu',\n",
+       " 'plinurvdnohleutrraie',\n",
+       " 'rlosnerpneoetprrurtv',\n",
+       " 'faisafopmooasoenrrcr',\n",
+       " 'flrohirpnthaoperhesr',\n",
+       " 'plrohivdnthaoutrhesr',\n",
+       " 'fahnhtipmeraioenlnse',\n",
+       " 'fahnhirpmeraopenlnsr',\n",
+       " 'flrhrorpntaieperhsou',\n",
+       " 'plrsoivdntnhoutrheer',\n",
+       " 'fahsnirpmenropenlenr',\n",
+       " 'fahnsirpmeaoopenlirr',\n",
+       " 'foniniapsnesolenarcr',\n",
+       " 'fanpalfpmnrtitenaiio',\n",
+       " 'paairovdmsoneutnnrnu',\n",
+       " 'paafroadmsdneetnncnu',\n",
+       " 'flaitirpnsohopernhar',\n",
+       " 'raonnrapsroretrnaene',\n",
+       " 'faesltopsryiuaenpeor',\n",
+       " 'faraltopspeiuaendnor',\n",
+       " 'fnponsopnresmseaiucn',\n",
+       " 'fneisaapnuontmealrei',\n",
+       " 'fatiatnpswemneenornr',\n",
+       " 'gaaetctjsntiasnnevel',\n",
+       " 'faoirirpshenotenernr',\n",
+       " 'faneoogpsrreafentpue',\n",
+       " 'ranalrapsrfnpcrntprd',\n",
+       " 'faoooynpshadereneesn',\n",
+       " 'pallrhpdsnitirtnrohi',\n",
+       " 'faodoynpssederenngsn',\n",
+       " 'rnaovirpnmsviprannoe',\n",
+       " 'faorrrapssnipmennnod',\n",
+       " 'faorrrmpssnipnennnod',\n",
+       " 'ranaaajpsrfetnrnnpni',\n",
+       " 'panfgrddsrdjtetnncnh',\n",
+       " 'famriaopsnnothensnri',\n",
+       " 'fnnilrfpnsoipteacrod',\n",
+       " 'fnstokmpnocdgnearasj',\n",
+       " 'gaohsaojtrrlerniapln',\n",
+       " 'raonnafptrsnctriacae',\n",
+       " 'raonhvopterauoriutsr',\n",
+       " 'garortajtenpufniehrr',\n",
+       " 'raolnanptenrfhriurtp',\n",
+       " 'raauafrptelntvrinieo',\n",
+       " 'gaaeelsjtntttmnievth',\n",
+       " 'falaverptinveeeioeod',\n",
+       " 'ralnahnptirfasrionps',\n",
+       " 'gaanrrfjtnhepdnieaer',\n",
+       " 'raanohfptereadrinnus',\n",
+       " 'faeiltoptnoiureirror',\n",
+       " 'raeonftptartdsrissnc',\n",
+       " 'gaeororjtareaanisaee',\n",
+       " 'ranhusfptrahndritsct',\n",
+       " 'ranhusfptrahndritsct',\n",
+       " 'ranhusiptrahnhritsct',\n",
+       " 'raaaskaptmfngnrinpej',\n",
+       " 'raaieflptmostnrinhoo',\n",
+       " 'ranhaoyptrafherinspe',\n",
+       " 'fahattmptacwuneiseor',\n",
+       " 'faratsnptncwmseineon',\n",
+       " 'ranaotfptsfgntricpfr',\n",
+       " 'faroparptnerseeinuin',\n",
+       " 'rahiknoptahgrorisijt',\n",
+       " 'rahionoptahorerisigt',\n",
+       " 'raalreyptsinterinonv',\n",
+       " 'raaaotfpftmgntrpinfr',\n",
+       " 'ghaheotjrtaroanpiseg',\n",
+       " 'ghrosefjraoyttnpfgdt',\n",
+       " 'ghrysorjraeyrnnpfnds',\n",
+       " 'fryltolppeiuaeednore',\n",
+       " 'friintnppooruhedhrtr',\n",
+       " 'frnaplkpprsrngedtnir',\n",
+       " 'ghorreajrnaeatnphfes',\n",
+       " 'raliyrdpfnoevorprhnv',\n",
+       " 'ghlnavtjrnrturnprtir',\n",
+       " 'frloknippnngsoedrhjc',\n",
+       " 'frarilrppmnoiaednnro',\n",
+       " 'frahiltppmaoiuednsro',\n",
+       " 'frarilsppmnoimednnro',\n",
+       " 'frarilsppmnoimednnro',\n",
+       " 'frsninsppnsoamedtcri',\n",
+       " 'ranhrhrpfratehrpnshl',\n",
+       " 'frhonrrppaerieedsuno',\n",
+       " 'frhrkaippangmoedsnjn',\n",
+       " 'grtvealjeovattnerosi',\n",
+       " 'rrejahtpernfaurepops',\n",
+       " 'poprhredeeiaeatufose',\n",
+       " 'pipaaoedoesmeatrfnnu',\n",
+       " 'rraoltrpeneeapreeusi',\n",
+       " 'foaigsrpeeofyaeunrtd',\n",
+       " 'pftterrddwulevtcoroe',\n",
+       " 'foafrripeesanoeunrln',\n",
+       " 'foahroopeeaidoeunsos',\n",
+       " 'roeaasapeatemirusinn',\n",
+       " 'finaltnportiuhertior',\n",
+       " 'greavlsjeatutmnesirh',\n",
+       " 'roeotcspeadsemrussyt',\n",
+       " 'fonsetopermgooeutnhd',\n",
+       " 'rrevkdopeaugtrresrjo',\n",
+       " 'grohtsojenroyonehprd',\n",
+       " 'frlrrolpenppeeeerdru',\n",
+       " 'filrthsponphenerrdal',\n",
+       " 'roaasarpemfntnrunpei',\n",
+       " 'filinrnponorpherrhtd',\n",
+       " 'fonrharperiateeunosi',\n",
+       " 'fomrstopeninuseusoer',\n",
+       " 'pirnfoldonsdhetrncce',\n",
+       " 'ronaenopeefrrorusppt',\n",
+       " 'raajafapetnftnrniopr',\n",
+       " 'raajaafpetnfstrniopl',\n",
+       " 'raanntapetroosrniner',\n",
+       " 'rlahtrupitaothroisrh',\n",
+       " 'faahgtepetajugenisnr',\n",
+       " 'rlahnanpitarfrroistp',\n",
+       " 'gaahgovjetahounnislg',\n",
+       " 'gaahgotjetahoannislg',\n",
+       " 'rlaraeypitnsteroinnv',\n",
+       " 'flaarimpitsnoneoinnr',\n",
+       " 'ftashaopwtnemgeoieln',\n",
+       " 'raaejaspnfrnemreppon',\n",
+       " 'raaretrpefphuarnpdkr',\n",
+       " 'farnrorpeprieaendnou',\n",
+       " 'farnrltpephiiuendaoo',\n",
+       " 'flrnirrpipeoneeodsrn',\n",
+       " 'flienorpionrdaeorrns',\n",
+       " 'farrinipneveooeeevre',\n",
+       " 'flinhoopioradoeortss',\n",
+       " 'plapprrdiserevtolfie',\n",
+       " 'flahagrpisatheeolsil',\n",
+       " 'flrhifapitaosneohsrr',\n",
+       " 'flrsrlipitnpnoeohedr',\n",
+       " 'gaaorocjesrnoannnans',\n",
+       " 'flarpropispdeoeonrte',\n",
+       " 'rlariyspisnheyronnin',\n",
+       " 'rleerucpistpheroovdc',\n",
+       " 'flenrrypisaipeeooiod',\n",
+       " 'fapjrrrpsrnehaelioee',\n",
+       " 'frlrahoptitnenehowes',\n",
+       " 'raaloofpseidrtrlnosa',\n",
+       " 'fhtfhcopewteeoelorsi',\n",
+       " 'frlfhnhptitearehorsi',\n",
+       " 'palfacfdsiteedtlorei',\n",
+       " 'frhfodsptesoemehlrgg',\n",
+       " 'prhttaedtewuisthlorh',\n",
+       " 'rrhfaiuptetiehrhlrhr',\n",
+       " 'rrvitaaptvhicnrhoiee',\n",
+       " 'prviroadtvhienthoiou',\n",
+       " 'frvgnhaptvhoeneholes',\n",
+       " 'fhvnecrpevssanelocsl',\n",
+       " 'phvnstidevslaotlocli',\n",
+       " 'paahnuadesarrmtelsii',\n",
+       " 'gaohaatjsnrtmvnlhpin',\n",
+       " 'grlhtrojtnroprnhrprd',\n",
+       " 'grlhtutjtnrirrnhrpei',\n",
+       " 'rrlailvptnfeivrhrpro',\n",
+       " 'faorphrpsnpreeelhdil',\n",
+       " 'faoropnpsnperrelhdui',\n",
+       " 'faormropespnnneendsn',\n",
+       " 'rhaansrpemfrnprlnpne',\n",
+       " 'fharnsapemprneelndne',\n",
+       " 'rhaahanpemfatrrlnpsi',\n",
+       " 'fharhhapemparnelndsp',\n",
+       " 'frlrsaiptnpneoehrdee',\n",
+       " 'rhaashlpemfnenrlnpes',\n",
+       " 'rrlfksdptnpgmorhrejn',\n",
+       " 'frlprosptnrpsmehridn',\n",
+       " 'prlpisodtneonethrfre',\n",
+       " 'frlpvdnptnrvotehrioo',\n",
+       " 'rrliahiptnotahrhrhis',\n",
+       " 'frlwvyaptnovdcehraoo',\n",
+       " 'rhansaapemrnftrlnnep',\n",
+       " 'pharesidemnfnotlnnde',\n",
+       " 'rrlhofoptnaepdrhrsue',\n",
+       " 'fhahiptpemaoduelnsrt',\n",
+       " 'grlsattjtnntahnhreii',\n",
+       " 'grlsattjtnntahnhreii',\n",
+       " 'frneofoptrgetdehnhur',\n",
+       " 'fhnhraiperapmoelnsdn',\n",
+       " 'pratiahdtswosithnohl',\n",
+       " 'fratornptswhprehnoed',\n",
+       " 'rraoealptshrfnrhnepp',\n",
+       " 'rhaaniupesmrerrlnnnr',\n",
+       " 'fhaanaspesmrerelnnne',\n",
+       " 'roajanfpntnsrtrhiolt',\n",
+       " 'goanlfojntentanhirro',\n",
+       " 'glanohnjntrrrhnritap',\n",
+       " 'rlanoonpntrrehrritau',\n",
+       " 'flaorevpnthtnveriewe',\n",
+       " 'faaoranpmthtlneniewe',\n",
+       " 'rlanuvrpntrluarritir',\n",
+       " 'rlahaaopntafmhrrispn',\n",
+       " 'gohrystjnraeyunhpfnd',\n",
+       " 'glhryssjnraeymnrpfnd',\n",
+       " 'elkatoenngfirgerjpes',\n",
+       " 'gohyfuvjnreshunhpnrc',\n",
+       " 'faronnapmpohteendgan',\n",
+       " 'forynhepsperatendnns',\n",
+       " 'flrrpnhpnperoaerdeie',\n",
+       " 'roaeinepnfaeonrhpsre',\n",
+       " 'rlannyrpnfhoehrrpaen',\n",
+       " 'fornohfpspsgltendcfc',\n",
+       " 'glroanejnerthgnreaia',\n",
+       " 'gothrsrjnurayenhrpfd',\n",
+       " 'ploprhrdneeiaetrufos',\n",
+       " 'faopohspmerdomenuiso',\n",
+       " 'failftrpmoisuaenrorr',\n",
+       " 'faieerlpmolsanenrosl',\n",
+       " 'fainuorpmorldaenrnis',\n",
+       " 'foisrropsooaeoenrrte',\n",
+       " 'plisaafdnooaedtrrrcn',\n",
+       " 'fahinyopmeordrenlrno',\n",
+       " 'fahnhirpmeraopenlnsr',\n",
+       " 'foairoypssondeennrns',\n",
+       " 'roamrsfpssnnytrnnsnd',\n",
+       " 'faerylipsaheioenseno',\n",
+       " 'faaihnypsmoendennrla',\n",
+       " 'faaoiropsmhonoennern',\n",
+       " 'raarnaspsmnofyrnnnep',\n",
+       " 'ranaaajpsrfetnrnnpni',\n",
+       " 'pnnftsndnsdwmttaccon',\n",
+       " 'pnnhtsndnslamttaccin',\n",
+       " 'fnstorypnoceheearaue',\n",
+       " 'gaorasgjtrenmhniaeen',\n",
+       " 'raonhvopterauoriutsr',\n",
+       " 'garnuecjtehhtanieacv',\n",
+       " 'faeiltoptnoiureirror',\n",
+       " 'gaeororjtareaanisaee',\n",
+       " 'ranhusfptrahndritsct',\n",
+       " 'faloceeptnsaaseirnle',\n",
+       " 'raheltaptatiuiristor',\n",
+       " 'rahelfrptatidnristoc',\n",
+       " 'raaalonpftmiohrpinog',\n",
+       " 'raahnylpftaoenrpisen',\n",
+       " 'raahnoapftaoomrpiseg',\n",
+       " 'raaoisrpfeeemnrpnurn',\n",
+       " 'friintrppooruvedhrtr',\n",
+       " 'frahiltppmaoiuednsro',\n",
+       " 'frahiltppmaoiuednsro',\n",
+       " 'frarilsppmnoimednnro',\n",
+       " 'frsninsppnsoamedtcri',\n",
+       " 'frhonrrppaerieedsuno',\n",
+       " 'fiirohrpoeneaeerrnus',\n",
+       " 'roaliyrpefneevruprrn',\n",
+       " 'foadyhepeloeraeueonp',\n",
+       " 'foeaasepeatemgeusinn',\n",
+       " 'foeaastpeatemceusinn',\n",
+       " 'rreavespeatuhmresirk',\n",
+       " 'fonprlsperrpnmeutidr',\n",
+       " 'filrtovponphsverrdan',\n",
+       " 'gaantcrjetevasnniaul',\n",
+       " 'rlanvrapitruanroitrl',\n",
+       " 'raarvylpntvueireivrn',\n",
+       " 'raanntapetroosrniner',\n",
+       " 'gaahoaujetagernnisfe',\n",
+       " 'rlahiylpitahenroisin',\n",
+       " 'ftashnapwtnenmeoiela',\n",
+       " 'rlaneynpitatehroiivn',\n",
+       " 'raaejyfpnfrnetreppon',\n",
+       " 'farnrlspepriimendnoo',\n",
+       " 'flientrpionhuheorrar',\n",
+       " 'flaahcnpistaaseolisl',\n",
+       " 'gaavttajesvaiennloie',\n",
+       " 'flareoepispndaeonres',\n",
+       " 'fapjrrrpsrnehaelioee',\n",
+       " 'rrlailvptnfeivrhrpro',\n",
+       " 'rrlaponptnfdrtrhrpts',\n",
+       " 'faorgropsnpjeaelhdne',\n",
+       " 'fharroapemppnselndrh',\n",
+       " 'rhaansrpemfrnprlnpne',\n",
+       " 'rhaahanpemfatrrlnpsi',\n",
+       " 'fhaphthpemdruaelntpr',\n",
+       " 'prlhrofdtnaisdthrson',\n",
+       " 'phahfnedemadrgtlnscn',\n",
+       " 'paorafndesnsdstennnc',\n",
+       " 'ransreopshnetdrlatev',\n",
+       " 'frneofoptrgetdehnhur',\n",
+       " 'fhnaorepenmapselaned',\n",
+       " 'rhaaniupesmrerrlnnnr',\n",
+       " 'rhnraudpeenmrorlsnni',\n",
+       " 'rlanoonpntrrehrritau',\n",
+       " 'rlanoonpntrrehrritau',\n",
+       " 'foanpospntrrelehitiu',\n",
+       " 'rlanuvrpntrluarritir',\n",
+       " 'roakfrfpnfgttsrhpjuh',\n",
+       " 'gohyfuvjnreshunhpnrc',\n",
+       " 'gohyahfjnrenetnhpnes',\n",
+       " 'gohyahfjnrenetnhpnes',\n",
+       " 'forynhepsperatendnns',\n",
+       " 'farrlnopmpacooendlee',\n",
+       " 'farlahepmposraendsnp',\n",
+       " 'glroanejnerthgnreaia',\n",
+       " 'rooaeeapnefarerhupsp',\n",
+       " 'gotnfecjnuedranhrrcp',\n",
+       " 'flinurrpnohleherraie',\n",
+       " 'fairoffpmonestenrnur',\n",
+       " 'flohdydpneaoeeeruson',\n",
+       " 'ponfnradsndspstnaccr',\n",
+       " 'roamrsfpssnnytrnnsnd',\n",
+       " 'roamrsfpssnnytrnnsnd',\n",
+       " 'faeryltpsaheiwenseno',\n",
+       " 'fartdrypsnneedennrge',\n",
+       " 'fartdonpsnnedsennrgs',\n",
+       " 'fnstorypnoceheearaue',\n",
+       " 'raalfhspteidcmrinoch',\n",
+       " 'gaanrfijtnheponieaee',\n",
+       " 'fanhusiptrahnoeitsct',\n",
+       " 'frahiltppmaoiuednsro',\n",
+       " 'rahrnnopfaerodrpsene',\n",
+       " 'roaliyrpefneevruprrn',\n",
+       " 'foailsopeeoeyoeunrsd',\n",
+       " 'roeavtspeatusmrusiry',\n",
+       " 'grohosujenrryhnehpad',\n",
+       " 'frlrrolpenppeeeerdru',\n",
+       " 'rooasahpenflmeruhpln',\n",
+       " 'gaanhfejnterttneirpr',\n",
+       " 'raajafapetnftnrniopr',\n",
+       " 'raarvylpntvueireivrn',\n",
+       " 'gartptfjnerdwtneevto',\n",
+       " 'flientrpionhuheorrar',\n",
+       " 'flareoepispndaeonres',\n",
+       " 'fharohepempnlaelndhc',\n",
+       " 'paneoafdshgeedtlahun',\n",
+       " 'rlanoonpntrrehrritau',\n",
+       " 'raarcvapmfpevsrnpdho',\n",
+       " 'rlarnerpnfarrprrplie',\n",
+       " 'flinurrpnohleherraie',\n",
+       " 'fahoroopmeannoenlenh',\n",
+       " 'raallrmpftnianrpirol',\n",
+       " 'rlanvrapitruanroitrl',\n",
+       " 'faonpfcpeeedtaenuatr',\n",
+       " 'raallrmpftnianrpirol']"
+      ]
+     },
+     "execution_count": 39,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "[cadenus_decipher(first_chunk, w, keycolumn)[:20] for w in hinted_keywords]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 40,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[]"
+      ]
+     },
+     "execution_count": 40,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "[w for w in hinted_keywords if cadenus_decipher(first_chunk, w, keycolumn).startswith('phaseseven')]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 41,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "def cadenus_break_worker(message, keyword, keycolumn, fitness):\n",
+    "    message_chunks = chunks(message, 175)\n",
+    "    plaintext = ''.join(cadenus_decipher(c, keyword, keycolumn) for c in message_chunks)\n",
+    "    fit = fitness(plaintext)\n",
+    "    return (keyword, keycolumn), fit"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 42,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "def cadenus_break(message, words=keywords, fitness=Pbigrams):\n",
+    "    c = make_cadenus_keycolumn(reverse=True)\n",
+    "    results = starmap(cadenus_break_worker, [(message, \n",
+    "                                              w, \n",
+    "                                              make_cadenus_keycolumn(doubled_letters='vw', start=s, reverse=r), \n",
+    "                                              fitness)\n",
+    "                               for w in words for s in string.ascii_lowercase for r in [True, False]])\n",
+    "    # return list(results)\n",
+    "    return max(results, key=lambda k: k[1])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 43,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(('finalist',\n",
+       "  {'a': 6,\n",
+       "   'b': 5,\n",
+       "   'c': 4,\n",
+       "   'd': 3,\n",
+       "   'e': 2,\n",
+       "   'f': 1,\n",
+       "   'g': 0,\n",
+       "   'h': 24,\n",
+       "   'i': 23,\n",
+       "   'j': 22,\n",
+       "   'k': 21,\n",
+       "   'l': 20,\n",
+       "   'm': 19,\n",
+       "   'n': 18,\n",
+       "   'o': 17,\n",
+       "   'p': 16,\n",
+       "   'q': 15,\n",
+       "   'r': 14,\n",
+       "   's': 13,\n",
+       "   't': 12,\n",
+       "   'u': 11,\n",
+       "   'v': 10,\n",
+       "   'w': 10,\n",
+       "   'x': 9,\n",
+       "   'y': 8,\n",
+       "   'z': 7}),\n",
+       " -5286.197562931952)"
+      ]
+     },
+     "execution_count": 43,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "key8b, fitness = cadenus_break(c8bl, words=hinted_keywords, fitness=Ptrigrams)\n",
+    "key8b, fitness"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 44,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'wledgctftrojhrtheonovoresoovrpanegoarerufofinaltnportiuhertiorafthehasdwarenncompleeeandoastestssoveconlrudedtlsreisnntignfrrrthesinaaltranlicthaaehesecisityseemiceshuneanykhf'"
+      ]
+     },
+     "execution_count": 44,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "cadenus_decipher(first_chunk, key8b[0], key8b[1])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 50,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[('finalist', 'z', 'az', True),\n",
+       " ('finalist', 'a', 'no', True),\n",
+       " ('finalist', 'n', 'no', True),\n",
+       " ('finalist', 'a', 'nu', True),\n",
+       " ('finalist', 'n', 'nu', True),\n",
+       " ('finalist', 'a', 'nz', True),\n",
+       " ('finalist', 'n', 'nz', True),\n",
+       " ('finalist', 'a', 'op', True),\n",
+       " ('finalist', 'o', 'op', True),\n",
+       " ('finalist', 'a', 'oq', True),\n",
+       " ('finalist', 'o', 'oq', True),\n",
+       " ('finalist', 'a', 'or', True),\n",
+       " ('finalist', 'o', 'or', True),\n",
+       " ('finalist', 'a', 'os', True),\n",
+       " ('finalist', 'o', 'os', True),\n",
+       " ('finalist', 'a', 'ot', True),\n",
+       " ('finalist', 'o', 'ot', True),\n",
+       " ('finalist', 'a', 'ou', True),\n",
+       " ('finalist', 'o', 'ou', True),\n",
+       " ('finalist', 'a', 'ov', True),\n",
+       " ('finalist', 'o', 'ov', True),\n",
+       " ('finalist', 'a', 'ow', True),\n",
+       " ('finalist', 'o', 'ow', True),\n",
+       " ('finalist', 'a', 'ox', True),\n",
+       " ('finalist', 'o', 'ox', True),\n",
+       " ('finalist', 'a', 'oy', True),\n",
+       " ('finalist', 'o', 'oy', True),\n",
+       " ('finalist', 'a', 'oz', True),\n",
+       " ('finalist', 'o', 'oz', True),\n",
+       " ('finalist', 'a', 'pq', True),\n",
+       " ('finalist', 'p', 'pq', True),\n",
+       " ('finalist', 'a', 'pr', True),\n",
+       " ('finalist', 'p', 'pr', True),\n",
+       " ('finalist', 'a', 'ps', True),\n",
+       " ('finalist', 'p', 'ps', True),\n",
+       " ('finalist', 'a', 'pt', True),\n",
+       " ('finalist', 'p', 'pt', True),\n",
+       " ('finalist', 'a', 'pu', True),\n",
+       " ('finalist', 'p', 'pu', True),\n",
+       " ('finalist', 'a', 'pv', True),\n",
+       " ('finalist', 'p', 'pv', True),\n",
+       " ('finalist', 'a', 'pw', True),\n",
+       " ('finalist', 'p', 'pw', True),\n",
+       " ('finalist', 'a', 'px', True),\n",
+       " ('finalist', 'p', 'px', True),\n",
+       " ('finalist', 'a', 'py', True),\n",
+       " ('finalist', 'p', 'py', True),\n",
+       " ('finalist', 'a', 'pz', True),\n",
+       " ('finalist', 'p', 'pz', True),\n",
+       " ('finalist', 'a', 'qr', True),\n",
+       " ('finalist', 'q', 'qr', True),\n",
+       " ('finalist', 'a', 'qs', True),\n",
+       " ('finalist', 'q', 'qs', True),\n",
+       " ('finalist', 'a', 'qt', True),\n",
+       " ('finalist', 'q', 'qt', True),\n",
+       " ('finalist', 'a', 'qu', True),\n",
+       " ('finalist', 'q', 'qu', True),\n",
+       " ('finalist', 'a', 'qv', True),\n",
+       " ('finalist', 'q', 'qv', True),\n",
+       " ('finalist', 'a', 'qw', True),\n",
+       " ('finalist', 'q', 'qw', True),\n",
+       " ('finalist', 'a', 'qx', True),\n",
+       " ('finalist', 'q', 'qx', True),\n",
+       " ('finalist', 'a', 'qy', True),\n",
+       " ('finalist', 'q', 'qy', True),\n",
+       " ('finalist', 'a', 'qz', True),\n",
+       " ('finalist', 'q', 'qz', True),\n",
+       " ('finalist', 'a', 'rs', True),\n",
+       " ('finalist', 'r', 'rs', True),\n",
+       " ('finalist', 'a', 'rt', True),\n",
+       " ('finalist', 'r', 'rt', True),\n",
+       " ('finalist', 'a', 'ru', True),\n",
+       " ('finalist', 'r', 'ru', True),\n",
+       " ('finalist', 'a', 'rv', True),\n",
+       " ('finalist', 'r', 'rv', True),\n",
+       " ('finalist', 'a', 'rw', True),\n",
+       " ('finalist', 'r', 'rw', True),\n",
+       " ('finalist', 'a', 'rx', True),\n",
+       " ('finalist', 'r', 'rx', True),\n",
+       " ('finalist', 'a', 'ry', True),\n",
+       " ('finalist', 'r', 'ry', True),\n",
+       " ('finalist', 'a', 'rz', True),\n",
+       " ('finalist', 'r', 'rz', True),\n",
+       " ('finalist', 'a', 'st', True),\n",
+       " ('finalist', 's', 'st', True),\n",
+       " ('finalist', 'a', 'su', True),\n",
+       " ('finalist', 's', 'su', True),\n",
+       " ('finalist', 'a', 'sv', True),\n",
+       " ('finalist', 's', 'sv', True),\n",
+       " ('finalist', 'a', 'sw', True),\n",
+       " ('finalist', 's', 'sw', True),\n",
+       " ('finalist', 'a', 'sx', True),\n",
+       " ('finalist', 's', 'sx', True),\n",
+       " ('finalist', 'a', 'sy', True),\n",
+       " ('finalist', 's', 'sy', True),\n",
+       " ('finalist', 'a', 'sz', True),\n",
+       " ('finalist', 's', 'sz', True),\n",
+       " ('finalist', 'a', 'tu', True),\n",
+       " ('finalist', 't', 'tu', True),\n",
+       " ('finalist', 'a', 'tv', True),\n",
+       " ('finalist', 't', 'tv', True),\n",
+       " ('finalist', 'a', 'tw', True),\n",
+       " ('finalist', 't', 'tw', True),\n",
+       " ('finalist', 'a', 'tx', True),\n",
+       " ('finalist', 't', 'tx', True),\n",
+       " ('finalist', 'a', 'ty', True),\n",
+       " ('finalist', 't', 'ty', True),\n",
+       " ('finalist', 'a', 'tz', True),\n",
+       " ('finalist', 't', 'tz', True),\n",
+       " ('finalist', 'a', 'uv', True),\n",
+       " ('finalist', 'u', 'uv', True),\n",
+       " ('finalist', 'a', 'uw', True),\n",
+       " ('finalist', 'u', 'uw', True),\n",
+       " ('finalist', 'a', 'ux', True),\n",
+       " ('finalist', 'u', 'ux', True),\n",
+       " ('finalist', 'a', 'uy', True),\n",
+       " ('finalist', 'u', 'uy', True),\n",
+       " ('finalist', 'a', 'uz', True),\n",
+       " ('finalist', 'u', 'uz', True),\n",
+       " ('finalist', 'a', 'vw', True),\n",
+       " ('finalist', 'v', 'vw', True),\n",
+       " ('finalist', 'a', 'vx', True),\n",
+       " ('finalist', 'v', 'vx', True),\n",
+       " ('finalist', 'a', 'vy', True),\n",
+       " ('finalist', 'v', 'vy', True),\n",
+       " ('finalist', 'a', 'vz', True),\n",
+       " ('finalist', 'v', 'vz', True),\n",
+       " ('finalist', 'a', 'wx', True),\n",
+       " ('finalist', 'w', 'wx', True),\n",
+       " ('finalist', 'a', 'wy', True),\n",
+       " ('finalist', 'w', 'wy', True),\n",
+       " ('finalist', 'a', 'wz', True),\n",
+       " ('finalist', 'w', 'wz', True),\n",
+       " ('finalist', 'a', 'xy', True),\n",
+       " ('finalist', 'x', 'xy', True),\n",
+       " ('finalist', 'a', 'xz', True),\n",
+       " ('finalist', 'x', 'xz', True),\n",
+       " ('finalist', 'a', 'yz', True),\n",
+       " ('finalist', 'y', 'yz', True),\n",
+       " ('finality', 'z', 'az', True),\n",
+       " ('finality', 'a', 'no', True),\n",
+       " ('finality', 'n', 'no', True),\n",
+       " ('finality', 'a', 'nu', True),\n",
+       " ('finality', 'n', 'nu', True),\n",
+       " ('finality', 'a', 'nz', True),\n",
+       " ('finality', 'n', 'nz', True),\n",
+       " ('finality', 'a', 'op', True),\n",
+       " ('finality', 'o', 'op', True),\n",
+       " ('finality', 'a', 'oq', True),\n",
+       " ('finality', 'o', 'oq', True),\n",
+       " ('finality', 'a', 'or', True),\n",
+       " ('finality', 'o', 'or', True),\n",
+       " ('finality', 'a', 'os', True),\n",
+       " ('finality', 'o', 'os', True),\n",
+       " ('finality', 'a', 'ot', True),\n",
+       " ('finality', 'o', 'ot', True),\n",
+       " ('finality', 'a', 'ou', True),\n",
+       " ('finality', 'o', 'ou', True),\n",
+       " ('finality', 'a', 'ov', True),\n",
+       " ('finality', 'o', 'ov', True),\n",
+       " ('finality', 'a', 'ow', True),\n",
+       " ('finality', 'o', 'ow', True),\n",
+       " ('finality', 'a', 'ox', True),\n",
+       " ('finality', 'o', 'ox', True),\n",
+       " ('finality', 'a', 'oy', True),\n",
+       " ('finality', 'o', 'oy', True),\n",
+       " ('finality', 'a', 'oz', True),\n",
+       " ('finality', 'o', 'oz', True),\n",
+       " ('finality', 'a', 'pq', True),\n",
+       " ('finality', 'p', 'pq', True),\n",
+       " ('finality', 'a', 'pr', True),\n",
+       " ('finality', 'p', 'pr', True),\n",
+       " ('finality', 'a', 'ps', True),\n",
+       " ('finality', 'p', 'ps', True),\n",
+       " ('finality', 'a', 'pt', True),\n",
+       " ('finality', 'p', 'pt', True),\n",
+       " ('finality', 'a', 'pu', True),\n",
+       " ('finality', 'p', 'pu', True),\n",
+       " ('finality', 'a', 'pv', True),\n",
+       " ('finality', 'p', 'pv', True),\n",
+       " ('finality', 'a', 'pw', True),\n",
+       " ('finality', 'p', 'pw', True),\n",
+       " ('finality', 'a', 'px', True),\n",
+       " ('finality', 'p', 'px', True),\n",
+       " ('finality', 'a', 'py', True),\n",
+       " ('finality', 'p', 'py', True),\n",
+       " ('finality', 'a', 'pz', True),\n",
+       " ('finality', 'p', 'pz', True),\n",
+       " ('finality', 'a', 'qr', True),\n",
+       " ('finality', 'q', 'qr', True),\n",
+       " ('finality', 'a', 'qs', True),\n",
+       " ('finality', 'q', 'qs', True),\n",
+       " ('finality', 'a', 'qt', True),\n",
+       " ('finality', 'q', 'qt', True),\n",
+       " ('finality', 'a', 'qu', True),\n",
+       " ('finality', 'q', 'qu', True),\n",
+       " ('finality', 'a', 'qv', True),\n",
+       " ('finality', 'q', 'qv', True),\n",
+       " ('finality', 'a', 'qw', True),\n",
+       " ('finality', 'q', 'qw', True),\n",
+       " ('finality', 'a', 'qx', True),\n",
+       " ('finality', 'q', 'qx', True),\n",
+       " ('finality', 'a', 'qy', True),\n",
+       " ('finality', 'q', 'qy', True),\n",
+       " ('finality', 'a', 'qz', True),\n",
+       " ('finality', 'q', 'qz', True),\n",
+       " ('finality', 'a', 'rs', True),\n",
+       " ('finality', 'r', 'rs', True),\n",
+       " ('finality', 'a', 'rt', True),\n",
+       " ('finality', 'r', 'rt', True),\n",
+       " ('finality', 'a', 'ru', True),\n",
+       " ('finality', 'r', 'ru', True),\n",
+       " ('finality', 'a', 'rv', True),\n",
+       " ('finality', 'r', 'rv', True),\n",
+       " ('finality', 'a', 'rw', True),\n",
+       " ('finality', 'r', 'rw', True),\n",
+       " ('finality', 'a', 'rx', True),\n",
+       " ('finality', 'r', 'rx', True),\n",
+       " ('finality', 'a', 'ry', True),\n",
+       " ('finality', 'r', 'ry', True),\n",
+       " ('finality', 'a', 'rz', True),\n",
+       " ('finality', 'r', 'rz', True),\n",
+       " ('finality', 'a', 'st', True),\n",
+       " ('finality', 's', 'st', True),\n",
+       " ('finality', 'a', 'su', True),\n",
+       " ('finality', 's', 'su', True),\n",
+       " ('finality', 'a', 'sv', True),\n",
+       " ('finality', 's', 'sv', True),\n",
+       " ('finality', 'a', 'sw', True),\n",
+       " ('finality', 's', 'sw', True),\n",
+       " ('finality', 'a', 'sx', True),\n",
+       " ('finality', 's', 'sx', True),\n",
+       " ('finality', 'a', 'sy', True),\n",
+       " ('finality', 's', 'sy', True),\n",
+       " ('finality', 'a', 'sz', True),\n",
+       " ('finality', 's', 'sz', True),\n",
+       " ('finality', 'a', 'tu', True),\n",
+       " ('finality', 't', 'tu', True),\n",
+       " ('finality', 'a', 'tv', True),\n",
+       " ('finality', 't', 'tv', True),\n",
+       " ('finality', 'a', 'tw', True),\n",
+       " ('finality', 't', 'tw', True),\n",
+       " ('finality', 'a', 'tx', True),\n",
+       " ('finality', 't', 'tx', True),\n",
+       " ('finality', 'a', 'ty', True),\n",
+       " ('finality', 't', 'ty', True),\n",
+       " ('finality', 'a', 'tz', True),\n",
+       " ('finality', 't', 'tz', True),\n",
+       " ('finality', 'a', 'uv', True),\n",
+       " ('finality', 'u', 'uv', True),\n",
+       " ('finality', 'a', 'uw', True),\n",
+       " ('finality', 'u', 'uw', True),\n",
+       " ('finality', 'a', 'ux', True),\n",
+       " ('finality', 'u', 'ux', True),\n",
+       " ('finality', 'a', 'uy', True),\n",
+       " ('finality', 'u', 'uy', True),\n",
+       " ('finality', 'a', 'uz', True),\n",
+       " ('finality', 'u', 'uz', True),\n",
+       " ('finality', 'a', 'vw', True),\n",
+       " ('finality', 'v', 'vw', True),\n",
+       " ('finality', 'a', 'vx', True),\n",
+       " ('finality', 'v', 'vx', True),\n",
+       " ('finality', 'a', 'vy', True),\n",
+       " ('finality', 'v', 'vy', True),\n",
+       " ('finality', 'a', 'vz', True),\n",
+       " ('finality', 'v', 'vz', True),\n",
+       " ('finality', 'a', 'wx', True),\n",
+       " ('finality', 'w', 'wx', True),\n",
+       " ('finality', 'a', 'wy', True),\n",
+       " ('finality', 'w', 'wy', True),\n",
+       " ('finality', 'a', 'wz', True),\n",
+       " ('finality', 'w', 'wz', True),\n",
+       " ('finality', 'a', 'xy', True),\n",
+       " ('finality', 'x', 'xy', True),\n",
+       " ('finality', 'a', 'xz', True),\n",
+       " ('finality', 'x', 'xz', True),\n",
+       " ('finality', 'a', 'yz', True),\n",
+       " ('finality', 'y', 'yz', True),\n",
+       " ('foulness', 'x', 'ov', True),\n",
+       " ('finalists', 'z', 'az', True),\n",
+       " ('finalists', 'a', 'no', True),\n",
+       " ('finalists', 'n', 'no', True),\n",
+       " ('finalists', 'a', 'nu', True),\n",
+       " ('finalists', 'n', 'nu', True),\n",
+       " ('finalists', 'a', 'nz', True),\n",
+       " ('finalists', 'n', 'nz', True),\n",
+       " ('finalists', 'a', 'op', True),\n",
+       " ('finalists', 'o', 'op', True),\n",
+       " ('finalists', 'a', 'oq', True),\n",
+       " ('finalists', 'o', 'oq', True),\n",
+       " ('finalists', 'a', 'or', True),\n",
+       " ('finalists', 'o', 'or', True),\n",
+       " ('finalists', 'a', 'os', True),\n",
+       " ('finalists', 'o', 'os', True),\n",
+       " ('finalists', 'a', 'ot', True),\n",
+       " ('finalists', 'o', 'ot', True),\n",
+       " ('finalists', 'a', 'ou', True),\n",
+       " ('finalists', 'o', 'ou', True),\n",
+       " ('finalists', 'a', 'ov', True),\n",
+       " ('finalists', 'o', 'ov', True),\n",
+       " ('finalists', 'a', 'ow', True),\n",
+       " ('finalists', 'o', 'ow', True),\n",
+       " ('finalists', 'a', 'ox', True),\n",
+       " ('finalists', 'o', 'ox', True),\n",
+       " ('finalists', 'a', 'oy', True),\n",
+       " ('finalists', 'o', 'oy', True),\n",
+       " ('finalists', 'a', 'oz', True),\n",
+       " ('finalists', 'o', 'oz', True),\n",
+       " ('finalists', 'a', 'pq', True),\n",
+       " ('finalists', 'p', 'pq', True),\n",
+       " ('finalists', 'a', 'pr', True),\n",
+       " ('finalists', 'p', 'pr', True),\n",
+       " ('finalists', 'a', 'ps', True),\n",
+       " ('finalists', 'p', 'ps', True),\n",
+       " ('finalists', 'a', 'pt', True),\n",
+       " ('finalists', 'p', 'pt', True),\n",
+       " ('finalists', 'a', 'pu', True),\n",
+       " ('finalists', 'p', 'pu', True),\n",
+       " ('finalists', 'a', 'pv', True),\n",
+       " ('finalists', 'p', 'pv', True),\n",
+       " ('finalists', 'a', 'pw', True),\n",
+       " ('finalists', 'p', 'pw', True),\n",
+       " ('finalists', 'a', 'px', True),\n",
+       " ('finalists', 'p', 'px', True),\n",
+       " ('finalists', 'a', 'py', True),\n",
+       " ('finalists', 'p', 'py', True),\n",
+       " ('finalists', 'a', 'pz', True),\n",
+       " ('finalists', 'p', 'pz', True),\n",
+       " ('finalists', 'a', 'qr', True),\n",
+       " ('finalists', 'q', 'qr', True),\n",
+       " ('finalists', 'a', 'qs', True),\n",
+       " ('finalists', 'q', 'qs', True),\n",
+       " ('finalists', 'a', 'qt', True),\n",
+       " ('finalists', 'q', 'qt', True),\n",
+       " ('finalists', 'a', 'qu', True),\n",
+       " ('finalists', 'q', 'qu', True),\n",
+       " ('finalists', 'a', 'qv', True),\n",
+       " ('finalists', 'q', 'qv', True),\n",
+       " ('finalists', 'a', 'qw', True),\n",
+       " ('finalists', 'q', 'qw', True),\n",
+       " ('finalists', 'a', 'qx', True),\n",
+       " ('finalists', 'q', 'qx', True),\n",
+       " ('finalists', 'a', 'qy', True),\n",
+       " ('finalists', 'q', 'qy', True),\n",
+       " ('finalists', 'a', 'qz', True),\n",
+       " ('finalists', 'q', 'qz', True),\n",
+       " ('finalists', 'a', 'rs', True),\n",
+       " ('finalists', 'r', 'rs', True),\n",
+       " ('finalists', 'a', 'rt', True),\n",
+       " ('finalists', 'r', 'rt', True),\n",
+       " ('finalists', 'a', 'ru', True),\n",
+       " ('finalists', 'r', 'ru', True),\n",
+       " ('finalists', 'a', 'rv', True),\n",
+       " ('finalists', 'r', 'rv', True),\n",
+       " ('finalists', 'a', 'rw', True),\n",
+       " ('finalists', 'r', 'rw', True),\n",
+       " ('finalists', 'a', 'rx', True),\n",
+       " ('finalists', 'r', 'rx', True),\n",
+       " ('finalists', 'a', 'ry', True),\n",
+       " ('finalists', 'r', 'ry', True),\n",
+       " ('finalists', 'a', 'rz', True),\n",
+       " ('finalists', 'r', 'rz', True),\n",
+       " ('finalists', 'a', 'st', True),\n",
+       " ('finalists', 's', 'st', True),\n",
+       " ('finalists', 'a', 'su', True),\n",
+       " ('finalists', 's', 'su', True),\n",
+       " ('finalists', 'a', 'sv', True),\n",
+       " ('finalists', 's', 'sv', True),\n",
+       " ('finalists', 'a', 'sw', True),\n",
+       " ('finalists', 's', 'sw', True),\n",
+       " ('finalists', 'a', 'sx', True),\n",
+       " ('finalists', 's', 'sx', True),\n",
+       " ('finalists', 'a', 'sy', True),\n",
+       " ('finalists', 's', 'sy', True),\n",
+       " ('finalists', 'a', 'sz', True),\n",
+       " ('finalists', 's', 'sz', True),\n",
+       " ('finalists', 'a', 'tu', True),\n",
+       " ('finalists', 't', 'tu', True),\n",
+       " ('finalists', 'a', 'tv', True),\n",
+       " ('finalists', 't', 'tv', True),\n",
+       " ('finalists', 'a', 'tw', True),\n",
+       " ('finalists', 't', 'tw', True),\n",
+       " ('finalists', 'a', 'tx', True),\n",
+       " ('finalists', 't', 'tx', True),\n",
+       " ('finalists', 'a', 'ty', True),\n",
+       " ('finalists', 't', 'ty', True),\n",
+       " ('finalists', 'a', 'tz', True),\n",
+       " ('finalists', 't', 'tz', True),\n",
+       " ('finalists', 'a', 'uv', True),\n",
+       " ('finalists', 'u', 'uv', True),\n",
+       " ('finalists', 'a', 'uw', True),\n",
+       " ('finalists', 'u', 'uw', True),\n",
+       " ('finalists', 'a', 'ux', True),\n",
+       " ('finalists', 'u', 'ux', True),\n",
+       " ('finalists', 'a', 'uy', True),\n",
+       " ('finalists', 'u', 'uy', True),\n",
+       " ('finalists', 'a', 'uz', True),\n",
+       " ('finalists', 'u', 'uz', True),\n",
+       " ('finalists', 'a', 'vw', True),\n",
+       " ('finalists', 'v', 'vw', True),\n",
+       " ('finalists', 'a', 'vx', True),\n",
+       " ('finalists', 'v', 'vx', True),\n",
+       " ('finalists', 'a', 'vy', True),\n",
+       " ('finalists', 'v', 'vy', True),\n",
+       " ('finalists', 'a', 'vz', True),\n",
+       " ('finalists', 'v', 'vz', True),\n",
+       " ('finalists', 'a', 'wx', True),\n",
+       " ('finalists', 'w', 'wx', True),\n",
+       " ('finalists', 'a', 'wy', True),\n",
+       " ('finalists', 'w', 'wy', True),\n",
+       " ('finalists', 'a', 'wz', True),\n",
+       " ('finalists', 'w', 'wz', True),\n",
+       " ('finalists', 'a', 'xy', True),\n",
+       " ('finalists', 'x', 'xy', True),\n",
+       " ('finalists', 'a', 'xz', True),\n",
+       " ('finalists', 'x', 'xz', True),\n",
+       " ('finalists', 'a', 'yz', True),\n",
+       " ('finalists', 'y', 'yz', True),\n",
+       " ('foulnesss', 'x', 'ov', True)]"
+      ]
+     },
+     "execution_count": 50,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "[(w, s, d1+d2, r)\n",
+    " for w in hinted_keywords \n",
+    " for d1 in string.ascii_lowercase[:25]\n",
+    " for d2 in string.ascii_lowercase\n",
+    " for s in string.ascii_lowercase \n",
+    " for r in [True, False]\n",
+    " if d2 > d1\n",
+    " if cadenus_decipher(first_chunk, w, \n",
+    "                     make_cadenus_keycolumn(doubled_letters=d1+d2, start=s, reverse=r)).startswith('finalreport')]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 55,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[]"
+      ]
+     },
+     "execution_count": 55,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "[(w, s, d1+d2, r, cadenus_decipher(first_chunk, w, \n",
+    "                                   make_cadenus_keycolumn(doubled_letters=d1+d2, start=s, reverse=r))[:50])\n",
+    " for w in hinted_keywords \n",
+    " for d1 in string.ascii_lowercase[:25]\n",
+    " for d2 in string.ascii_lowercase\n",
+    " for s in string.ascii_lowercase \n",
+    " for r in [True, False]\n",
+    " if d2 > d1\n",
+    " if cadenus_decipher(first_chunk, w, \n",
+    "                     make_cadenus_keycolumn(doubled_letters=d1+d2, start=s, reverse=r)).startswith('finalreport')]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 52,
+   "metadata": {
+    "collapsed": false,
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[('finalist', 'a', 'no', True),\n",
+       " ('finalist', 'n', 'no', True),\n",
+       " ('finalist', 'a', 'op', True),\n",
+       " ('finalist', 'o', 'op', True),\n",
+       " ('finalist', 'a', 'pq', True),\n",
+       " ('finalist', 'p', 'pq', True),\n",
+       " ('finalist', 'a', 'qr', True),\n",
+       " ('finalist', 'q', 'qr', True),\n",
+       " ('finalist', 'a', 'rs', True),\n",
+       " ('finalist', 'r', 'rs', True),\n",
+       " ('finalist', 'a', 'st', True),\n",
+       " ('finalist', 's', 'st', True),\n",
+       " ('finalist', 'a', 'tu', True),\n",
+       " ('finalist', 't', 'tu', True),\n",
+       " ('finalist', 'a', 'uv', True),\n",
+       " ('finalist', 'u', 'uv', True),\n",
+       " ('finalist', 'a', 'vw', True),\n",
+       " ('finalist', 'v', 'vw', True),\n",
+       " ('finalist', 'a', 'wx', True),\n",
+       " ('finalist', 'w', 'wx', True),\n",
+       " ('finalist', 'a', 'xy', True),\n",
+       " ('finalist', 'x', 'xy', True),\n",
+       " ('finalist', 'a', 'yz', True),\n",
+       " ('finalist', 'y', 'yz', True),\n",
+       " ('finality', 'a', 'no', True),\n",
+       " ('finality', 'n', 'no', True),\n",
+       " ('finality', 'a', 'op', True),\n",
+       " ('finality', 'o', 'op', True),\n",
+       " ('finality', 'a', 'pq', True),\n",
+       " ('finality', 'p', 'pq', True),\n",
+       " ('finality', 'a', 'qr', True),\n",
+       " ('finality', 'q', 'qr', True),\n",
+       " ('finality', 'a', 'rs', True),\n",
+       " ('finality', 'r', 'rs', True),\n",
+       " ('finality', 'a', 'st', True),\n",
+       " ('finality', 's', 'st', True),\n",
+       " ('finality', 'a', 'tu', True),\n",
+       " ('finality', 't', 'tu', True),\n",
+       " ('finality', 'a', 'uv', True),\n",
+       " ('finality', 'u', 'uv', True),\n",
+       " ('finality', 'a', 'vw', True),\n",
+       " ('finality', 'v', 'vw', True),\n",
+       " ('finality', 'a', 'wx', True),\n",
+       " ('finality', 'w', 'wx', True),\n",
+       " ('finality', 'a', 'xy', True),\n",
+       " ('finality', 'x', 'xy', True),\n",
+       " ('finality', 'a', 'yz', True),\n",
+       " ('finality', 'y', 'yz', True),\n",
+       " ('finalists', 'a', 'no', True),\n",
+       " ('finalists', 'n', 'no', True),\n",
+       " ('finalists', 'a', 'op', True),\n",
+       " ('finalists', 'o', 'op', True),\n",
+       " ('finalists', 'a', 'pq', True),\n",
+       " ('finalists', 'p', 'pq', True),\n",
+       " ('finalists', 'a', 'qr', True),\n",
+       " ('finalists', 'q', 'qr', True),\n",
+       " ('finalists', 'a', 'rs', True),\n",
+       " ('finalists', 'r', 'rs', True),\n",
+       " ('finalists', 'a', 'st', True),\n",
+       " ('finalists', 's', 'st', True),\n",
+       " ('finalists', 'a', 'tu', True),\n",
+       " ('finalists', 't', 'tu', True),\n",
+       " ('finalists', 'a', 'uv', True),\n",
+       " ('finalists', 'u', 'uv', True),\n",
+       " ('finalists', 'a', 'vw', True),\n",
+       " ('finalists', 'v', 'vw', True),\n",
+       " ('finalists', 'a', 'wx', True),\n",
+       " ('finalists', 'w', 'wx', True),\n",
+       " ('finalists', 'a', 'xy', True),\n",
+       " ('finalists', 'x', 'xy', True),\n",
+       " ('finalists', 'a', 'yz', True),\n",
+       " ('finalists', 'y', 'yz', True)]"
+      ]
+     },
+     "execution_count": 52,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "[(w, s, d1+chr(ord(d1)+1), r)\n",
+    " for w in hinted_keywords \n",
+    " for d1 in string.ascii_lowercase[:25]\n",
+    " # for d2 in string.ascii_lowercase\n",
+    " for s in string.ascii_lowercase \n",
+    " for r in [True, False]\n",
+    " # if d2 > d1\n",
+    " if cadenus_decipher(first_chunk, w, make_cadenus_keycolumn(doubled_letters=d1+chr(ord(d1)+1), start=s, reverse=r)).startswith('final')]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 53,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'phasennrkmffnhignsdaaojsrcisrncheentoeetueweisvhsounsucoaleyrhreitdioseotototdhsoagreeysifaglenhtlhonriuelseairscnrteameteiwnntneefefcrartataieposrlandrlvtartalvhctofnorehdpro'"
+      ]
+     },
+     "execution_count": 53,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "cadenus_decipher(first_chunk, 'filbert', make_cadenus_keycolumn(doubled_letters='lu', start='m', reverse=False))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 54,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "['afcaeuottacthrioletcserthshtrahkyorpfrgeoadppjnglternefeofiortsddoeeumscruernfetlaafstwientrvoonerhuahravereetsvsielhlostdoaloyaesmnndignnrhohhtsnaoilncnssicreanneeiiierwtanes']"
+      ]
+     },
+     "execution_count": 54,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "chunks(first_chunk, 175)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.4.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}