More work on challenge 8b
authorNeil Smith <neil.git@njae.me.uk>
Mon, 23 Feb 2015 09:11:46 +0000 (09:11 +0000)
committerNeil Smith <neil.git@njae.me.uk>
Wed, 4 Oct 2017 08:15:23 +0000 (09:15 +0100)
2014-challenge8.ipynb
SIGNED.md

index 2339799e584ff6ae74b83e6aaeea13e945ae8de3..e30823ed13b037f1949af1a3af57a2a7ee88d102 100644 (file)
@@ -1,7 +1,7 @@
 {
  "metadata": {
   "name": "",
-  "signature": "sha256:552bea7734ea4d4e21f21be2dca0f09009e1c1eb9a767ab8c6c8097144b76db4"
+  "signature": "sha256:8cfa7fab1d8d3830f8cdd550122b0b7f10258d8adb3ff205bd1feeca64418741"
  },
  "nbformat": 3,
  "nbformat_minor": 0,
        "output_type": "pyout",
        "prompt_number": 2,
        "text": [
-        "<matplotlib.axes.AxesSubplot at 0x7f2de7d75e10>"
+        "<matplotlib.axes.AxesSubplot at 0x7f25d36fa358>"
        ]
       },
       {
        "metadata": {},
        "output_type": "display_data",
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YaJNwEWYzgCw1K3XAguB11yZi13+zcDlwG2uzCJMeB4FvA6cjekMBeBWZ3M/sBETquNIY2gDG2kM\nftukpfWfgSw27RH7z6ueZnyPYTX2xhBu/XgsfzYwGrgAE577MQdyGNMbOoBbgCeqHOsGYINLr8Pe\naurCxO3pwNMZ21uTWq9q6veFhBAjlSSO4SHgu8D7MS3g09iMYDr2GumVlGcI24BH3HoN9qZRyaXN\nAx7AXkvdhc0UAB7ENIWdwJ2UZx0HgbuxN5P6gcUMfiOpAVHDEgNf1czyumbjOmQzPDbSGPKxkcag\nepJoDDfXyL+6Rv4St1SyhXIoKs5R4MYax1ruFiGEEDkx4n8rqT1tWh+Tlsbg5zhntUlL6z8DWWza\nI/afVz36rSQhhBCJCdwxRDnY5FGHbEAag6/jnK2ePOrIZuNz7D+vegJ3DEIIIdIijaEtbVofk5bG\n4Oc4Z7VJS+s/A1ls2iP2n1c90hiEEKIO+q/0gQTuGKIcbPKoQzYgjcHXcc5WTx51JLcZ+k/Pp2+b\nNAYhhBBtgzSGtrRpfUzaV41h7Njumk95nZ3jOHz44LC0zddxzmqTltZ/BrLYtN84N7OeehrDcPy6\nqhDeUA4JVNsXwnOQEM0n8FBSlINNHnXIBrLEStPXIZuRqTG0wkYagxBCiLYhhLm1NIY2sNF/Zfht\nk5bWj3MWm/Yb52bWo+8xCCGESEzgjiHKwSaPOmQD0hj8Hecs9eRRh9820hiEEEK0DdIY2tKm9bFS\naQx+jnNWm7S0fpyz2LTfODezHmkMQgghEtMOjmEGsB37T+j56UyjDNWltcmjDtmANAZ/xzlLPXnU\n4beNNIbsnAr8T8w5TMb+f/ri5ObFDFWmtcmjDtkAFIs6N3nYpB/nLPX42/+wxjlbPb47hg8Du4Dd\nwDHgG8B1yc0PZagyrU0edcgG4NAhnZs8bNKPc5Z6/O1/WOOcrR7fHcO5wJ7Y9l6XJ0YAlb+Rv3jx\n4hH/O/nNIj7WGufm0S7j7LtjGKK0vzsHmzzqGJk2A38j/wQw92Q62e/kN6ddIdoMHOu045ylbWnL\nh2GTxzgPxwOV76+rfgRYhGkMAAuAd4AvxMoUgQ/k2ywhhGh7XgKmtLoRWRgFvAr0AKMxJ5BCfBZC\nCBEivwe8gonQC1rcFiGEEEIIIUYWvmsMWegGJgFjYnn/UKf8u4B5wMcwJehZ4G+Afx6GtvxxLH2C\n8niXRPX/Ucf2FODfABcA/x14H3AO0D8M7apsY2Xb3gK2UPul6dOA38dCfKV/ATzh2jkcfAf4KPA2\ng19AOAGs+NT3AAAFL0lEQVQcBP4C+F8V+6Zi7Y7zSeCbw9SuEtOAzzO4/79TxybrmE0BPk752nyp\nQfks13O1ayCerrxOO4D3MvCNQV9YWCVvOK/NEYHvbyWl5TPAt4C1wGLgaUy8rsdK7Mtz92Ffpvtt\n4G8blB8X2+4GvlqjbCdwBnbDug2YiL1ueyvwwQbt+iLwu8C/dttvu7xqlNp7Z4NjVmOqa0+pbX+E\nhe++Qu1vmj8BzMS+W/K2W35Ro+x33Ppt4EjFcriGzUfd+gxsDOPLWNfmO6rYfQW4NLZ9M/DfatRR\nrT2N2lXi68By7Eb/KbfMbGCTZsxKfA74GnA2MN6lq/U7TtrrGWpfn6Xxr8aaBses5Ebs3AH8KfC/\nafwZ+ELCvDi/oDy+/w+7lnsa2Pwx6V+D/xp2v7kohc3kKnmFBjZ3MPB+k4SNwL+syPtyymMExQ+x\nJ6bSk+5F2AVYj20J80pUe4pu9NXCZxn4Aet0efV4sWINtZ8Wt2Ef6h9gjqpyadS2M2LbZ2AzrHcD\nP6ph88MGx8yDiVXyfgP4PnbeP4P17cwm1P2dxkUGkWXMtgKnx7ZPd3n1SHs9Q7brcwX2BdSklNr9\nMex3HT4JPNfA5sUqeY36X8kY7GGxHouAl4FvA7djTrgRV2Kzk/XAT4BHafxg9kPsYasD+3z9NbC5\ngc2fYfrqI9jbmUmiPD/BPsPx2VO1sRwxvODWRWzqDo0/FF/DnsxLfIT6T1gvMfBm203ji/WVWHtw\n6Vca2DyH/SRI6YSeTe2Tewd2Ez+KXRTx5ccN6tmOvfFVYkysbbXq+zL1wyat5P3YWKzFPnzN4Brg\nQWxG8vtu+VcNbLKM2VbsQafEu2h8raW9niHb9fkK9kT+Y9emrdiDSS1KD09LsRAp1L6+bnPH+2Xs\n2Fuxl/i/3qBdlXRjN9YkfAC7Eb8CbEhQfhQ2vp8H/pHGY3Y6NovbjDmJz5MsanMK5hS+gfVlCXBh\nnfIvurZ9EXgS6CKlYxjVuEhbsQebdj2OefI3qf2NkNIHbBT2BLgHi0W+j/on+C+B72EevAP4A+xi\nqsdKTBt4zNnMwp646vHX2Gzn17EL4Qbgv9Yoe59bvoSFAdLwdcwJPe7a9ilgFXYRVzrV0pidCnwa\nczxHXV6jGHszqbxZdmMfpudoTrvmYg5oFPa9mhKP1bH5OOnHbDnWh/h1UytsWeJDVL+et9apL8v1\neW2D/ZXsw5zjdMw5nEbtm+IqLFS1lPITNliY7+cN6olfC6dgn5+k+sJPgf2ujrMblN2AfUa+h800\nPuTs63Ec+BXm4E/DnOo7dS2Md1y7DmDOeBzw98AzwJ/UqWse0IvN/lKFo0IUn0sUsJjmWuD/Vtnf\nU8f2BPBanf2/jU0lT2DxvEazErA4bklE/AeSefCLgatcegO1QztDZRoW1z+B3VReqFGup8Fxdg9f\nk1LR02D/7mGu7xUsXJXmm/k9NfJ3N7CbykAhudF1U6ueRvVluT7TcDr21PsD7JeSJ2B60Lphrqcn\nlj6O3UyPNbCZh2kgvw78HfAwjT/Tf4U5g38GvouFq76H3fhr8RKwGnNU7wHuxx4S/qCOzeeAOZiz\negB7WDyGOb2dVJ85/JE7dompwH8A/m2DPgkhhsBy7OFAhMGfk/0bwJ3AZ7EHyaMNyk6rkjengc1i\n4Pwa+6qJ2cNCyDMGIZrFduxJzZdQmsifz2IzrKnYdfCsWza2slHDRWgagxB5MKNxERE4p2F64/dp\nHKoSQgghhBBCCCGEEEIIIYQQQgghhBBCiBHO/wdc3dBPs9bnrQAAAABJRU5ErkJggg==\n",
        "text": [
-        "<matplotlib.figure.Figure at 0x7f2e1c1ae978>"
+        "<matplotlib.figure.Figure at 0x7f26006854e0>"
        ]
       }
      ],
        "output_type": "pyout",
        "prompt_number": 3,
        "text": [
-        "<matplotlib.axes.AxesSubplot at 0x7f2de514fba8>"
+        "<matplotlib.axes.AxesSubplot at 0x7f25d37269b0>"
        ]
       },
       {
        "metadata": {},
        "output_type": "display_data",
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+zBfRN8lfab9muS9W6wH/hz4ox5xhIiayzFf2iIO3o7bP/7GgQsxE7yf55Q9L2XdK3M0O4BHZmxL\nO4g5EMqYYQsxTA5jZjch2ULCHxdifpGsx+wD1yaPa8pMalD48rCF8MXz8ouIiDkLcyzrRvLtFiGE\nEEIIIYQQQgghhBBCCCGEEEIIIQLk/wFJCFVD/Yn0OQAAAABJRU5ErkJggg==\n",
        "text": [
-        "<matplotlib.figure.Figure at 0x7f2de5155a58>"
+        "<matplotlib.figure.Figure at 0x7f25d369f358>"
        ]
       }
      ],
      "cell_type": "code",
      "collapsed": false,
      "input": [
-      "min([(int(c, 2)) for c in chunks(c8b, 5)])"
+      "max([(int(c, 2)) for c in chunks(c8b, 5)])"
      ],
      "language": "python",
      "metadata": {},
        "output_type": "pyout",
        "prompt_number": 10,
        "text": [
-        "0"
+        "24"
        ]
       }
      ],
      "cell_type": "code",
      "collapsed": false,
      "input": [
-      "c8bl = ''.join([cadenus_letter(int(c, 2)) for c in chunks(c8b, 5)])\n",
+      "c8bl = ''.join([cadenus_letter(int(c, 2), doubled='z') for c in chunks(c8b, 5)])\n",
       "c8bl"
      ],
      "language": "python",
        "output_type": "pyout",
        "prompt_number": 13,
        "text": [
-        "'afcaeuottacthrioletcserthshtrahkzorpfrgeoadppjnglternefeofiortsddoeeumscruernfetlaafstxientrvoonerhuahravereetsvsielhlostdoalozaesmnndignnrhohhtsnaoilncnssicreanneeiiierxtanesrvogieizxssdgpvoiaisaoaeoaedrnitrnyeigrpsshadhdtoipaateyennesagrobtlesrnroirzpbgedcllixalaleenigrrnxzrlimlpstoleftrdmuarieeeiiaolnexsaohrtlstobetnslvfivdovtpoaeeisciohipseveedtexfarnhebleaotohtttepnckaonhxetmvzprreonnasgdedoeeeoaamtcicttifnadresrtserosetrhcictpsaaehldhsfysoaotctbbsoeirnsadlztrrunrceptthreuhnktaceceelrxnireeeaeseeeidisogceomnrtejhagabsenitlxtrnbmielsaretesrngsnhebiosdienafleisahocifevmfatanatrniagnhatnmibniufenrtottrnzpaidziegdnmerhhiotretcesseildrbceprigaesoadltahievebrcenlevasadnnthneiteiisahuhhuamonefzhlonxhaeeeeosneezaneisetogziterlihtcmioirarfdoetnihtnehiikamrdmnadanaodseseizclsiantaoltcizmidentthltndytttmasbleaeetlisirtxturpfailteaoefeisiiizisikvtxisprbsinelphrmohiagnlslvitodaisdpnzddcaaotahcehtueirredaectosnrhvnaodoikoetcineneurrisdcouraglvimmuppditeanditmaaiaieleonnreedaodboiumelrotntttgitnrlrienniklzsogstcifzpipvidvssmnceiasiitsnneatitomrhbnhnidprlrepoznalsnvsdosanesitfaenltgodatteeaisicrootmsmfhauenirsghznxeintegodiileedtarnosrcaaendtcuttfdrbehtmfitoordruiaozaanoeeldoinhusgiteaoriecevemntratmtfpeucutahamtnexonicdeemrpaolitoafesoosspfnlneeootachllirssysofpdftfrnpraeeazlonahautntcntcbaxloneftoatecvoxdlxvnneedtiioigtegmtaheeatefaaeprrcrosheerrpalediengidrreouhvesuroztnsosinuiuiofprda'"
+        "'afcaeuottacthrioletcserthshtrahkyorpfrgeoadppjnglternefeofiortsddoeeumscruernfetlaafstwientrvoonerhuahravereetsvsielhlostdoaloyaesmnndignnrhohhtsnaoilncnssicreanneeiiierwtanesrvogieiywssdgpvoiaisaoaeoaedrnitrnxeigrpsshadhdtoipaatexennesagrobtlesrnroirypbgedclliwalaleenigrrnwyrlimlpstoleftrdmuarieeeiiaolnewsaohrtlstobetnslvfivdovtpoaeeisciohipseveedtewfarnhebleaotohtttepnckaonhwetmvyprreonnasgdedoeeeoaamtcicttifnadresrtserosetrhcictpsaaehldhsfxsoaotctbbsoeirnsadlytrrunrceptthreuhnktaceceelrwnireeeaeseeeidisogceomnrtejhagabsenitlwtrnbmielsaretesrngsnhebiosdienafleisahocifevmfatanatrniagnhatnmibniufenrtottrnypaidyiegdnmerhhiotretcesseildrbceprigaesoadltahievebrcenlevasadnnthneiteiisahuhhuamonefyhlonwhaeeeeosneeyaneisetogyiterlihtcmioirarfdoetnihtnehiikamrdmnadanaodseseiyclsiantaoltciymidentthltndxtttmasbleaeetlisirtwturpfailteaoefeisiiiyisikvtwisprbsinelphrmohiagnlslvitodaisdpnyddcaaotahcehtueirredaectosnrhvnaodoikoetcineneurrisdcouraglvimmuppditeanditmaaiaieleonnreedaodboiumelrotntttgitnrlrienniklysogstcifypipvidvssmnceiasiitsnneatitomrhbnhnidprlrepoynalsnvsdosanesitfaenltgodatteeaisicrootmsmfhauenirsghynweintegodiileedtarnosrcaaendtcuttfdrbehtmfitoordruiaoyaanoeeldoinhusgiteaoriecevemntratmtfpeucutahamtnewonicdeemrpaolitoafesoosspfnlneeootachllirssxsofpdftfrnpraeeaylonahautntcntcbawloneftoatecvowdlwvnneedtiioigtegmtaheeatefaaeprrcrosheerrpalediengidrreouhvesuroytnsosinuiuiofprda'"
        ]
       }
      ],
        "output_type": "pyout",
        "prompt_number": 14,
        "text": [
-        "('a', 'z')"
+        "('a', 'y')"
        ]
       }
      ],
        "output_type": "pyout",
        "prompt_number": 16,
        "text": [
-        "<matplotlib.axes.AxesSubplot at 0x7f2de5006ba8>"
+        "<matplotlib.axes.AxesSubplot at 0x7f25d357dc18>"
        ]
       },
       {
        "metadata": {},
        "output_type": "display_data",
-       "png": "iVBORw0KGgoAAAANSUhEUgAAAXMAAAD+CAYAAADI4+UgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAHqpJREFUeJztnX24HFV9xz9XIqiQy+YqJry6iCCEB7kIBKxSVgoYKwKt\nlZfWypXWWlF5eWhrgi0En6cYtPqkotYqJjdYoEZFBCvhzbuKKOALFwIYgUhsggJKwATrS5DbP85s\ndu7enZ2ZM7Nn58x8P8+zd/fMzvf8fmdm7m9mvzO7A0IIIYQQQgghhBBCCCGEEEIIIYQQQgghhBDO\nWA48DqwJTVsA3AXcDXwPODz03mLgIWAtcLyjHIUQQsRwFHAI04t5E3hD8PqNwETwej4wCTwfqAMP\nA89zkaQQQlSduGJ7G/BUx7SfAzsHr2vAo8Hrk4Crga3AekwxX5BLlkIIIXoyy0KzCPg28G+YncFr\ngum7AXeE5tsI7J4pOyGEEImwsUE+B5wN7AWch/HVo5iySUoIIUQ6bI7MFwDHBq+/BFwevH4U2DM0\n3x60LZht7LPPPlPr1q2zCCuEEJXmHmA06k2bI/OHgaOD18cADwavrwNOA7YH9gb2xVz1Mo1169Yx\nNTWV+nHRRReVVudDjr7ofMhRy2TwOh9y7NQBB/cqzHFH5lcHhfslwAbgQuDvgE8COwC/CdoADwCr\ngudngbPI0WZZv359aXU+5OiLzoccXet8yNG1zocc0+riivnpEdOPiJh+SfAQQgjhkO0GEHPJkiVL\nUotqtRr1er2UOh9y9EXnQ46udT7k6FrnQ46duosvvhjg4qh5h1L3np2pwP+pNMPDI2zZ0nkJv2H2\n7Dls3rzJcUZCiCIzNDQEPWq2N9/QbDabpdKZQj4VPCZCr6cii7xtrCrpfMjRtc6HHF3rfMgxrc6b\nYi6EECIa2SwDwnxkiloOQ2gZCSHClMZmEUIIEY03xbzIXlV2nctY5db5kKNrnQ85utb5kGNanTfF\nXAghRDTyzAeEPHMhRBrkmQshRAXwppgX2avKrnMZq9w6H3J0rfMhR9c6H3JMq/OmmAshhIhGnvmA\nkGcuhEiDPHMhhKgA3hTzIntV2XUuY5Vb50OOrnU+5Oha50OOaXXeFHMhhBDRxHnmy4E3AU8AB4Wm\nvw9zJ6E/AP8DvD+Yvhg4M5h+NnBTlz7lmSPPXAiRjjjPPO5OQyuAy4ArQtNeD5wIvArYCuwSTJ8P\nnBo87w7cAuwHPGeRtxBCiBTE2Sy3AZ0/rv1u4EOYQg7wi+D5JMw9Q7cC6zE3fl6QS5YU26vKrnMZ\nq9w6H3J0rfMhR9c6H3JMq7PxzPcF/hi4A1OFDgum7wZsDM23EXOELoQQos/E2SxRmjnAkcDhwCrg\n5RHzdjV+x8bGtt3XrlarMTo6SqPRANp7orzarWn96t82Xpve7V7xGo2Gdb5J+vcxXmta0db3oOOF\ntUnj+bC+s8SzabemuVjfzWaT8fFxxsfHE90/NMmXhurA9bRPgN4ALAW+GbQfxhT2vw3aS4Pn1cBF\nwJ0d/ekEKDoBKoRIRz++NHQtcEzwej9ge+CXwHXAaUF7b4wdc5dF/13p3AOXS+cyVrl1PuToWudD\njq51PuSYVhdns1wNHA28GNgAXIi5XHE5sAb4PfD2YN4HMJbLA8CzmEsXdXgphBAO0G+zDAjZLEKI\nNOi3WYQQogJ4U8yL7FVl17mMVW6dDzm61vmQo2udDzmm1XlTzIUQQkQjz3xAyDMXQqRBnrkQQlQA\nb4p5kb2q7DqXscqt8yFH1zofcnSt8yHHtDpvirkQQoho5JkPCHnmQog0yDMXQogK4E0xL7JXlV3n\nMla5dT7k6FrnQ46udT7kmFbnTTEXQggRjTzzASHPXAiRBnnmQghRAbwp5kX2qrLrXMYqt86HHF3r\nfMjRtc6HHNPqvCnmQgghopFnPiDkmQsh0pDVM18OPI65q1An5wPPASOhaYuBh4C1wPFpEhVCCGFP\nXDFfASzsMn1P4Djgp6Fp84FTg+eFwKcS9J+YIntV2XUuY5Vb50OOrnU+5Oha50OOaXVxxfY24Kku\n0z8G/FPHtJMw9wzdCqwHHgYWJM5ECCGENUk88zpwPXBQ0D4JaADnAY8AhwKbgMuAO4Arg/kuB24A\nvtzRnzxz5JkLIdIR55nPStnfi4ALMBbLthg95u9akcbGxqjX6wDUajVGR0dpNBpA+2NF2dttWu1G\nR5tC5au22mq7bTebTcbHxwG21cus1GmfAD0Ic0L0keDRslTmAouCR4vVwBFd+puyYWJiolQ6YAqm\ngsdE6LV5rwg5+qjzIUfXOh9ydK3zIcdOHdEf5YH0JyjXBIV77+CxEXh1UOCvA04Dtg/e2xe4K2X/\nQgghLIjzzK8GjgZeDDwBXIi5wqXFT4DDMJ45GAvmTOBZ4Bzgxi59BjuZaiPPXAiRhjjPXF8aGhAq\n5kKINJTmh7ZaJwbKqXMZq9w6H3J0rfMhR9c6H3JMq/OmmAshhIhGNsuAkM0ihEhDaWwWIYQQ0XhT\nzIvsVWXXuYxVbp0PObrW+ZCja50POabVeVPMhRBCRCPPfEDIMxdCpEGeuRBCVABvinmRvarsOpex\nyq3zIUfXOh9ydK3zIce0Om+KuRBCiGjkmQ8IeeZCiDTIMxdCiArgTTEvsleVXecyVrl1PuToWudD\njq51PuSYVudNMRdCCBGNPPMBIc9cCJEGeeZCCFEB4or5cswt4daEpn0E+BFwD3ANsHPovcXAQ8Ba\n4Pj80iy2V5Vd5zJW/3XDwyMMDQ11fQwPj/Q1z6Iuk0HqipqjtpN8dXHFfAWwsGPaTcCBwMHAg5gC\nDjAfODV4Xgh8KkH/ooRs2fIUxkJqPSa2vTbvCaHtJG+SeOZ14HrgoC7v/RnwFuBtmKL+HHBp8N5q\nYAlwR4dGnjnl9szLPDaRH9pO0tFvz/xM4OvB692AjaH3NgK7Z+xfCCFEAmZl0H4A+D1wVY95uu5a\nx8bGqNfrANRqNUZHR2k0GkDbI+pst6ZFvR/VXrZsWaL+Xcdr0wQmgXND7dC7PeJ15pp0fJOTk5x7\n7rmJ57eJFz0+M0/e8Yq+vgcZz8X6to3X3t4boddt+jW+zjEWcX03m02WLl3KvHnzttXLrNSZfgIU\nYAy4HXhBaNqi4NFiNXBEl/6mbJiYmCiVDpiCqeAxEXpt3itCjra66WPrHF/y9W+TZ1GXySB1Rc1R\n20k6HdGeFGDnmS8EPgocDfwyNN98zFH6Aoy9cgvwii4JBHlVmzL7hWUem8gPbSfpyOqZXw18B3gl\nsAHjkV8G7ATcDNyNuWoF4AFgVfB8A3AWMXuSOPK6dEkIIcpOXDE/HXNic3tgT8x15/sCLwMOCR5n\nhea/BHM0vj9wY9bkpl+6NBF6nfzSpZkebjLc6lzGcq9zOT5flolLnQ85Bkpn8XxZJml0ug5cCCFK\nQKF/m6XMnprGJqqOtpN06LdZhBCiAnhUzJt2qgJ7XCGVw1jyQqum8yHHQOksni/LRJ65EEJUDHnm\nA0JjE1VH20k65JkLIUQF8KiYN+1UBfa4QiqHseSFVk3nQ46B0lk8X5aJPHMhhKgY8swHhMYmqo62\nk3TIMxeiAOh3hkS/8aiYN+1UBfa4QiqHseSFDkKX1y3SyrRMuiidxfNlmcgzF0KIiiHPfEBobNVC\ny2QmWibpkGcuhBAVIK6YLwceZ/pt40YwN6Z4ELgJqIXeWww8BKwFjs8vTSi3r+wylrzQIui0TLoq\nncXzZZnk6ZmvwNwmLswiTDHfD7iV9n0/5wOnBs8LMXcg0pG/EEI4wOYeoGsx9/98HJiH2Z3ujzkq\nfw64NJhvNbAEuKOjP3nmaGxVQ8tkJlom6eiHZz4XU8gJnucGr3cDNobm24i5sbMQQog+k9UGaV00\n2+v9nGjaqQrscYVUDmPJCy2CTsukq9JZPF+WSRrdLIv+W/bKY8CuwBPB9EcxN31usUcwbQZjY2PU\n63UAarUao6OjNBoNoJ18qz1zBU9vd87f2Z6cnOz5flQ7af+28aaPZxJoWI3Ppj05OZlrf+nGZ+bp\nV3w/1nd0ux/jc7G+beO1x9/Zpq/jS9N/uO1y+2o2myxdupTx8fFt9bIXNp75h4EnMd74IszVLIsw\nJz6vAhZg7JVbgFcw8+hcnjkaW9WwXSbDwyOR3xCdPXsOmzdvyifBAcTTdpKOOM88rphfjTnZ+RLM\nEfmFwFeBVcBewHrgFODpYP4LgDOBZ4FzgBu79KlijsZWNWyXietl6TKetpN0ZD0BejrmxOb2GAtl\nBbAJOBZzaeLxtAs5wCWYo/H96V7IM9C0UxXY4wqpHMaSF1oEne0ysdH5sN5cx/NlO0mj03XgQghR\nAvTbLANCY6sWslkGG6sM6LdZhBCiAnhUzJt2qgJ7XCGVw1j++MNl9kLlmQ82ni/biTxzIYSoGPLM\nB4TGVi3kmQ82VhmQZy6EEBXAo2LetFMV2OMKqRzG8scfLrMXKs98sPF82U7kmQshRMWQZz4gNLZq\nIc98sLHKgDxzIYSoAB4V86adqsAeV0jlMJY//nCZvdCyeebDwyMMDQ3NeAwPj/Ql3jRVibcTeeZC\nCKeYn81t3atmYtvrqJ/TFfkjz3xAaGzVouyeebSuOGPzHXnmQghRATwq5k07VYE9rpDKYSx//OEy\ne6Fl88wHqSvzduLKM18M3A+swdwubgdgBLgZeBC4CXNLOSGEEH3G1jOvA98ADgB+B3wB+DpwIPBL\nzH1C3w/MwdwfNIw8czS2qiHPPL9YVaVfnvlmYCvwImBW8Pwz4ERgZTDPSuBky/6FEEKkwLaYbwI+\nCvwvpog/jbFX5mJu/EzwPDdrgm2adqoCe1whlcNY/vjDZfZC5ZnnpyvzduLCM98HOBdjt+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24XZaW0k5pG5EGIiyzA7fuEfH6G7f0FOBy7BHBy+1KEtmAOoRt4bQXcNcHiLec1OoDYlT0fkQuSN\nDZgjorxaTiJ5LsH88j4R87nfb4f7suxUJ7L2yIXIM/M7NxEFY1/MubTvE83CEUIIIYQQQgghhBBC\nCCGEEEIIIYQQYpLy/29rz2xVUOLbAAAAAElFTkSuQmCC\n",
        "text": [
-        "<matplotlib.figure.Figure at 0x7f2de5006198>"
+        "<matplotlib.figure.Figure at 0x7f25d357d278>"
        ]
       }
      ],
        "output_type": "pyout",
        "prompt_number": 17,
        "text": [
-        "<matplotlib.axes.AxesSubplot at 0x7f2de80f8a90>"
+        "<matplotlib.axes.AxesSubplot at 0x7f25d351a940>"
        ]
       },
       {
        "metadata": {},
        "output_type": "display_data",
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TpLTyN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\n",
        "text": [
-        "<matplotlib.figure.Figure at 0x7f2de4f43eb8>"
+        "<matplotlib.figure.Figure at 0x7f25d34b3e48>"
        ]
       }
      ],
        "output_type": "pyout",
        "prompt_number": 18,
        "text": [
-        "['afcaeuottacthrioletcserthshtrahkzorpfrgeoadppjnglternefe',\n",
-        " 'ofiortsddoeeumscruernfetlaafstxientrvoonerhuahravereetsv',\n",
-        " 'sielhlostdoalozaesmnndignnrhohhtsnaoilncnssicreanneeiiie',\n",
-        " 'rxtanesrvogieizxssdgpvoiaisaoaeoaedrnitrnyeigrpsshadhdto',\n",
-        " 'ipaateyennesagrobtlesrnroirzpbgedcllixalaleenigrrnxzrlim',\n",
-        " 'lpstoleftrdmuarieeeiiaolnexsaohrtlstobetnslvfivdovtpoaee',\n",
-        " 'isciohipseveedtexfarnhebleaotohtttepnckaonhxetmvzprreonn',\n",
-        " 'asgdedoeeeoaamtcicttifnadresrtserosetrhcictpsaaehldhsfys',\n",
-        " 'oaotctbbsoeirnsadlztrrunrceptthreuhnktaceceelrxnireeeaes',\n",
-        " 'eeeidisogceomnrtejhagabsenitlxtrnbmielsaretesrngsnhebios',\n",
-        " 'dienafleisahocifevmfatanatrniagnhatnmibniufenrtottrnzpai',\n",
-        " 'dziegdnmerhhiotretcesseildrbceprigaesoadltahievebrcenlev',\n",
-        " 'asadnnthneiteiisahuhhuamonefzhlonxhaeeeeosneezaneisetogz',\n",
-        " 'iterlihtcmioirarfdoetnihtnehiikamrdmnadanaodseseizclsian',\n",
-        " 'taoltcizmidentthltndytttmasbleaeetlisirtxturpfailteaoefe',\n",
-        " 'isiiizisikvtxisprbsinelphrmohiagnlslvitodaisdpnzddcaaota',\n",
+        "['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",
-        " 'klzsogstcifzpipvidvssmnceiasiitsnneatitomrhbnhnidprlrepo',\n",
-        " 'znalsnvsdosanesitfaenltgodatteeaisicrootmsmfhauenirsghzn',\n",
-        " 'xeintegodiileedtarnosrcaaendtcuttfdrbehtmfitoordruiaozaa',\n",
-        " 'noeeldoinhusgiteaoriecevemntratmtfpeucutahamtnexonicdeem',\n",
-        " 'rpaolitoafesoosspfnlneeootachllirssysofpdftfrnpraeeazlon',\n",
-        " 'ahautntcntcbaxloneftoatecvoxdlxvnneedtiioigtegmtaheeatef',\n",
-        " 'aaeprrcrosheerrpalediengidrreouhvesuroztnsosinuiuiofprda']"
+        " 'klysogstcifypipvidvssmnceiasiitsnneatitomrhbnhnidprlrepo',\n",
+        " 'ynalsnvsdosanesitfaenltgodatteeaisicrootmsmfhauenirsghyn',\n",
+        " 'weintegodiileedtarnosrcaaendtcuttfdrbehtmfitoordruiaoyaa',\n",
+        " 'noeeldoinhusgiteaoriecevemntratmtfpeucutahamtnewonicdeem',\n",
+        " 'rpaolitoafesoosspfnlneeootachllirssxsofpdftfrnpraeeaylon',\n",
+        " 'ahautntcntcbawloneftoatecvowdlwvnneedtiioigtegmtaheeatef',\n",
+        " 'aaeprrcrosheerrpalediengidrreouhvesuroytnsosinuiuiofprda']"
        ]
       }
      ],
        "output_type": "pyout",
        "prompt_number": 20,
        "text": [
-        "['aosriliaoeddaitihpkzxnraa',\n",
-        " 'ffixppssaeizstascplneopha',\n",
-        " 'cietascgoeeiaeoiedzaieaae',\n",
+        "['aosriliaoeddaitihpkywnraa',\n",
+        " 'ffiwppssaeiystascplneopha',\n",
+        " 'cietascgoeeiaeoiedyaieaae',\n",
         " 'aolaatidtinedrlihislneoup',\n",
         " 'erhntooecdagnltittostlltr',\n",
-        " 'utleelhdtifdniczuegnedinr',\n",
-        " 'ososyeiobslnthiieasvgottc',\n",
-        " 'tdsrefpeboemhtzsintsoiocr',\n",
+        " 'utleelhdtifdnicyuegnedinr',\n",
+        " 'ososxeiobslnthiieasvgottc',\n",
+        " 'tdsrefpeboemhtysintsoiocr',\n",
         " 'tdtvntsesgiencmirdcddnano',\n",
         " 'aodonreeocsremikriioihfts',\n",
         " 'ceogedvoeeahiidvetfsiuech',\n",
-        " 'teaismeaiohhtoetdmzalssbe',\n",
-        " 'huleauearmoieinxaapnegoae',\n",
-        " 'rmoigadmnncoirtieaieeioxr',\n",
-        " 'iszzrrttsritiatscipsdtslr',\n",
-        " 'ocaxoiecatfrsrhptavitesop',\n",
-        " 'lresbexideeeaflroiitaapna',\n",
+        " 'teaismeaiohhtoetdmyalssbe',\n",
+        " 'huleauearmoieinwaapnegoae',\n",
+        " 'rmoigadmnncoirtieaieeiowr',\n",
+        " 'isyyrrttsritiatscipsdtslr',\n",
+        " 'ocawoiecatfrsrhptavitesop',\n",
+        " 'lresbewideeeaflroiitaapna',\n",
         " 'eusstefcljvthdtbsedfrofel',\n",
-        " 'temdleatzhmcuonsnlvanrnfe',\n",
+        " 'temdleatyhmcuonsnlvanrnfe',\n",
         " 'crngeirttafehedireseoiltd',\n",
-        " 'snnpsinirgashtynhosnsenoi',\n",
+        " 'snnpsinirgashtxnhosnsenoi',\n",
         " 'efdvrahfratsuntevnmlrceae',\n",
         " 'reionoenubaeaitlnnntceetn',\n",
         " 'ttgirlbansnimhtparcgavoeg',\n",
         " 'hlnaonldrealotmhoeeoaeoci',\n",
         " 'saniieercntdnnardeidemtvd',\n",
-        " 'harsrxaeeirreesmodaannaor',\n",
-        " 'tfhazsosptnbfhboiastdtcxr',\n",
-        " 'rsoopatrtliczilhkoittrhde',\n",
-        " 'athaboottxaehieiodiecallo',\n",
-        " 'hxheghhshtgplkaaebteutlxu',\n",
+        " 'harsrwaeeirreesmodaannaor',\n",
+        " 'tfhaysosptnbfhboiastdtcwr',\n",
+        " 'rsoopatrtlicyilhkoittrhde',\n",
+        " 'athaboottwaehieiodiecallo',\n",
+        " 'hwheghhshtgplkaaebteutlwu',\n",
         " 'kitoerterrnroaegtosatmivh',\n",
-        " 'zesadttrenhinmencinittrnv',\n",
-        " 'onnecltoubagxrtliunsffsne',\n",
+        " 'yesadttrenhinmencinittrnv',\n",
+        " 'onnecltoubagwrtliunsffsne',\n",
         " 'rtadlseshmtahdlsnmeidpses',\n",
-        " 'prorltpenineamileeacreyeu',\n",
+        " 'prorltpenineamileeacrexeu',\n",
         " 'fviniontkemsensvnltrbusdr',\n",
-        " 'rolixbcrtlioeaiierioecoto',\n",
-        " 'gontaekhasbaedrtuotohufiz',\n",
+        " 'roliwbcrtlioeaiierioecoto',\n",
+        " 'gontaekhasbaedrtuotohufiy',\n",
         " 'encrltaccandeatortotttpit',\n",
-        " 'oennanoierilonxdrnmmmadon',\n",
-        " 'arsylsncceutsataitrsfhfis',\n",
+        " 'oennanoierilonwdrnmmmadon',\n",
+        " 'arsxlsncceutsataitrsfhfis',\n",
         " 'dhseelhtetfanouisthmiatgo',\n",
-        " 'puiievxpeeehedrsdtbftmfts',\n",
+        " 'puiievwpeeehedrsdtbftmfts',\n",
         " 'pacgnfeslsniespdcgnhotrei',\n",
-        " 'jhrriitarrrezefpoihaonngn',\n",
-        " 'nrepgvmaxntvasanutnurepmu',\n",
-        " 'gaasrdvengoeneizrniedxrti',\n",
-        " 'lvnsrozhistbeildardnroaau',\n",
-        " 'tenhnvplrntriztdglpiunehi',\n",
-        " 'ereaxtrdehrcsceclrrriieeo',\n",
-        " 'reedzprheeneelaavilsacaef',\n",
-        " 'neihroesebzntsoaiergodzap',\n",
-        " 'etidlaofaiploieomnehzeltr',\n",
-        " 'fsitienyeoaegaftmnpzaeoed',\n",
-        " 'eveomensssivzneauionamnfa']"
+        " 'jhrriitarrreyefpoihaonngn',\n",
+        " 'nrepgvmawntvasanutnurepmu',\n",
+        " 'gaasrdvengoeneiyrniedwrti',\n",
+        " 'lvnsroyhistbeildardnroaau',\n",
+        " 'tenhnvplrntriytdglpiunehi',\n",
+        " 'ereawtrdehrcsceclrrriieeo',\n",
+        " 'reedyprheeneelaavilsacaef',\n",
+        " 'neihroesebyntsoaiergodyap',\n",
+        " 'etidlaofaiploieomnehyeltr',\n",
+        " 'fsitienxeoaegaftmnpyaeoed',\n",
+        " 'eveomensssivyneauionamnfa']"
        ]
       }
      ],
      "cell_type": "code",
      "collapsed": false,
      "input": [
-      "letter_positions = {letter: [(r, c) for r, row in enumerate(rows) for c, char in enumerate(row) if char == letter] for letter in 'phaseeight'}\n",
+      "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"
      ],
      "language": "python",
        "output_type": "pyout",
        "prompt_number": 21,
        "text": [
-        "{'h': [(0, 12),\n",
+        "{'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",
+        "  (8, 15),\n",
+        "  (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",
+        "  (14, 25),\n",
+        "  (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",
+        "  (19, 11),\n",
+        "  (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",
+        "  (22, 26),\n",
+        "  (22, 48),\n",
+        "  (22, 51),\n",
+        "  (23, 0),\n",
+        "  (23, 2),\n",
+        "  (23, 12),\n",
+        "  (23, 21),\n",
+        "  (23, 48),\n",
+        "  (23, 52),\n",
+        "  (24, 0),\n",
+        "  (24, 1),\n",
+        "  (24, 16),\n",
+        "  (24, 55)],\n",
+        " 'n': [(0, 46),\n",
+        "  (0, 52),\n",
+        "  (1, 20),\n",
+        "  (1, 33),\n",
+        "  (1, 39),\n",
+        "  (2, 19),\n",
+        "  (2, 20),\n",
+        "  (2, 24),\n",
+        "  (2, 25),\n",
+        "  (2, 33),\n",
+        "  (2, 38),\n",
+        "  (2, 40),\n",
+        "  (2, 48),\n",
+        "  (2, 49),\n",
+        "  (3, 4),\n",
+        "  (3, 36),\n",
+        "  (3, 40),\n",
+        "  (4, 8),\n",
+        "  (4, 9),\n",
+        "  (4, 22),\n",
+        "  (4, 44),\n",
+        "  (4, 49),\n",
+        "  (5, 24),\n",
+        "  (5, 40),\n",
+        "  (6, 20),\n",
+        "  (6, 36),\n",
+        "  (6, 41),\n",
+        "  (6, 54),\n",
+        "  (6, 55),\n",
+        "  (7, 22),\n",
+        "  (8, 13),\n",
+        "  (8, 23),\n",
+        "  (8, 35),\n",
+        "  (8, 47),\n",
+        "  (9, 13),\n",
+        "  (9, 25),\n",
+        "  (9, 32),\n",
+        "  (9, 46),\n",
+        "  (9, 49),\n",
+        "  (10, 3),\n",
+        "  (10, 23),\n",
+        "  (10, 27),\n",
+        "  (10, 31),\n",
+        "  (10, 35),\n",
+        "  (10, 39),\n",
+        "  (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",
+        "  (22, 45),\n",
+        "  (22, 55),\n",
+        "  (23, 5),\n",
+        "  (23, 8),\n",
+        "  (23, 16),\n",
+        "  (23, 32),\n",
+        "  (23, 33),\n",
+        "  (24, 22),\n",
+        "  (24, 40),\n",
+        "  (24, 45)],\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",
+        " '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",
+        " '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)],\n",
+        " 'h': [(0, 12),\n",
         "  (0, 24),\n",
         "  (0, 26),\n",
         "  (0, 30),\n",
         "  (24, 18),\n",
         "  (24, 21),\n",
         "  (24, 28),\n",
-        "  (24, 33)],\n",
-        " '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",
-        "  (8, 15),\n",
-        "  (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",
-        "  (14, 25),\n",
-        "  (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",
-        "  (19, 11),\n",
-        "  (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",
-        "  (22, 26),\n",
-        "  (22, 48),\n",
-        "  (22, 51),\n",
-        "  (23, 0),\n",
-        "  (23, 2),\n",
-        "  (23, 12),\n",
-        "  (23, 21),\n",
-        "  (23, 48),\n",
-        "  (23, 52),\n",
-        "  (24, 0),\n",
-        "  (24, 1),\n",
-        "  (24, 16),\n",
-        "  (24, 55)],\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",
-        " 'g': [(0, 38),\n",
-        "  (0, 47),\n",
-        "  (2, 23),\n",
-        "  (3, 10),\n",
-        "  (3, 19),\n",
-        "  (3, 44),\n",
-        "  (4, 13),\n",
-        "  (4, 30),\n",
-        "  (4, 46),\n",
-        "  (7, 2),\n",
-        "  (9, 8),\n",
-        "  (9, 20),\n",
-        "  (9, 47),\n",
-        "  (10, 30),\n",
-        "  (11, 4),\n",
-        "  (11, 33),\n",
-        "  (12, 54),\n",
-        "  (15, 31),\n",
-        "  (16, 49),\n",
-        "  (17, 44),\n",
-        "  (18, 5),\n",
-        "  (19, 23),\n",
-        "  (19, 52),\n",
-        "  (20, 6),\n",
-        "  (21, 12),\n",
-        "  (23, 42),\n",
-        "  (23, 45),\n",
-        "  (24, 23)],\n",
-        " 'i': [(0, 14),\n",
-        "  (1, 2),\n",
-        "  (1, 31),\n",
-        "  (2, 1),\n",
-        "  (2, 22),\n",
-        "  (2, 36),\n",
-        "  (2, 43),\n",
-        "  (2, 52),\n",
-        "  (2, 53),\n",
-        "  (2, 54),\n",
-        "  (3, 11),\n",
-        "  (3, 13),\n",
-        "  (3, 23),\n",
-        "  (3, 25),\n",
-        "  (3, 37),\n",
-        "  (3, 43),\n",
-        "  (4, 0),\n",
-        "  (4, 25),\n",
-        "  (4, 36),\n",
-        "  (4, 45),\n",
-        "  (4, 54),\n",
-        "  (5, 15),\n",
-        "  (5, 19),\n",
-        "  (5, 20),\n",
-        "  (5, 45),\n",
-        "  (6, 0),\n",
-        "  (6, 3),\n",
-        "  (6, 6),\n",
-        "  (7, 16),\n",
-        "  (7, 20),\n",
-        "  (7, 40),\n",
-        "  (8, 11),\n",
-        "  (8, 48),\n",
-        "  (9, 3),\n",
-        "  (9, 5),\n",
-        "  (9, 26),\n",
-        "  (9, 35),\n",
-        "  (9, 53),\n",
-        "  (10, 1),\n",
-        "  (10, 8),\n",
-        "  (10, 14),\n",
-        "  (10, 28),\n",
-        "  (10, 37),\n",
-        "  (10, 40),\n",
-        "  (10, 55),\n",
-        "  (11, 2),\n",
-        "  (11, 12),\n",
-        "  (11, 23),\n",
-        "  (11, 32),\n",
-        "  (11, 44),\n",
-        "  (12, 10),\n",
-        "  (12, 13),\n",
-        "  (12, 14),\n",
-        "  (12, 49),\n",
-        "  (13, 0),\n",
-        "  (13, 5),\n",
-        "  (13, 10),\n",
-        "  (13, 12),\n",
-        "  (13, 22),\n",
-        "  (13, 28),\n",
-        "  (13, 29),\n",
-        "  (13, 48),\n",
-        "  (13, 53),\n",
-        "  (14, 6),\n",
-        "  (14, 9),\n",
-        "  (14, 35),\n",
-        "  (14, 37),\n",
-        "  (14, 47),\n",
-        "  (15, 0),\n",
-        "  (15, 2),\n",
-        "  (15, 3),\n",
-        "  (15, 4),\n",
-        "  (15, 6),\n",
-        "  (15, 8),\n",
-        "  (15, 13),\n",
-        "  (15, 19),\n",
-        "  (15, 29),\n",
-        "  (15, 37),\n",
-        "  (15, 42),\n",
-        "  (16, 7),\n",
-        "  (16, 27),\n",
-        "  (16, 33),\n",
-        "  (16, 41),\n",
-        "  (16, 52),\n",
-        "  (17, 3),\n",
-        "  (17, 9),\n",
-        "  (17, 14),\n",
-        "  (17, 16),\n",
-        "  (17, 32),\n",
-        "  (17, 45),\n",
-        "  (17, 51),\n",
-        "  (17, 55),\n",
-        "  (18, 9),\n",
-        "  (18, 13),\n",
-        "  (18, 16),\n",
-        "  (18, 25),\n",
-        "  (18, 28),\n",
-        "  (18, 29),\n",
-        "  (18, 37),\n",
-        "  (18, 47),\n",
-        "  (19, 15),\n",
-        "  (19, 32),\n",
-        "  (19, 34),\n",
-        "  (19, 49),\n",
-        "  (20, 2),\n",
-        "  (20, 9),\n",
-        "  (20, 10),\n",
-        "  (20, 42),\n",
-        "  (20, 50),\n",
-        "  (21, 7),\n",
-        "  (21, 13),\n",
-        "  (21, 19),\n",
-        "  (21, 50),\n",
-        "  (22, 5),\n",
-        "  (22, 31),\n",
-        "  (23, 38),\n",
-        "  (23, 39),\n",
-        "  (23, 41),\n",
-        "  (24, 20),\n",
-        "  (24, 24),\n",
-        "  (24, 44),\n",
-        "  (24, 47),\n",
-        "  (24, 49)],\n",
-        " 't': [(0, 7),\n",
-        "  (0, 8),\n",
-        "  (0, 11),\n",
-        "  (0, 18),\n",
-        "  (0, 23),\n",
-        "  (0, 27),\n",
-        "  (0, 49),\n",
-        "  (1, 5),\n",
-        "  (1, 23),\n",
-        "  (1, 29),\n",
-        "  (1, 34),\n",
-        "  (1, 53),\n",
-        "  (2, 8),\n",
-        "  (2, 31),\n",
-        "  (3, 2),\n",
-        "  (3, 38),\n",
-        "  (3, 54),\n",
-        "  (4, 4),\n",
-        "  (4, 17),\n",
-        "  (5, 3),\n",
-        "  (5, 8),\n",
-        "  (5, 32),\n",
-        "  (5, 35),\n",
-        "  (5, 39),\n",
-        "  (5, 50),\n",
-        "  (6, 14),\n",
-        "  (6, 28),\n",
-        "  (6, 31),\n",
-        "  (6, 32),\n",
-        "  (6, 33),\n",
-        "  (6, 45),\n",
-        "  (7, 14),\n",
-        "  (7, 18),\n",
-        "  (7, 19),\n",
-        "  (7, 29),\n",
-        "  (7, 36),\n",
-        "  (7, 42),\n",
-        "  (8, 3),\n",
-        "  (8, 5),\n",
-        "  (8, 19),\n",
-        "  (8, 28),\n",
-        "  (8, 29),\n",
-        "  (8, 37),\n",
-        "  (9, 15),\n",
-        "  (9, 27),\n",
-        "  (9, 30),\n",
-        "  (9, 42),\n",
-        "  (10, 21),\n",
-        "  (10, 25),\n",
-        "  (10, 34),\n",
-        "  (10, 46),\n",
-        "  (10, 48),\n",
-        "  (10, 49),\n",
-        "  (11, 14),\n",
-        "  (11, 17),\n",
-        "  (11, 41),\n",
-        "  (12, 6),\n",
-        "  (12, 11),\n",
-        "  (12, 52),\n",
-        "  (13, 1),\n",
-        "  (13, 7),\n",
-        "  (13, 20),\n",
-        "  (13, 24),\n",
-        "  (14, 0),\n",
-        "  (14, 4),\n",
-        "  (14, 13),\n",
-        "  (14, 14),\n",
-        "  (14, 17),\n",
-        "  (14, 21),\n",
-        "  (14, 22),\n",
-        "  (14, 23),\n",
-        "  (14, 33),\n",
-        "  (14, 39),\n",
-        "  (14, 41),\n",
-        "  (14, 49),\n",
-        "  (15, 11),\n",
-        "  (15, 38),\n",
-        "  (15, 54),\n",
-        "  (16, 4),\n",
-        "  (16, 15),\n",
-        "  (16, 31),\n",
-        "  (17, 4),\n",
-        "  (17, 10),\n",
-        "  (17, 39),\n",
-        "  (17, 41),\n",
-        "  (17, 42),\n",
-        "  (17, 43),\n",
-        "  (17, 46),\n",
-        "  (18, 7),\n",
-        "  (18, 30),\n",
-        "  (18, 36),\n",
-        "  (18, 38),\n",
-        "  (19, 16),\n",
-        "  (19, 22),\n",
-        "  (19, 27),\n",
-        "  (19, 28),\n",
-        "  (19, 39),\n",
-        "  (20, 4),\n",
-        "  (20, 15),\n",
-        "  (20, 28),\n",
-        "  (20, 31),\n",
-        "  (20, 32),\n",
-        "  (20, 39),\n",
-        "  (20, 43),\n",
-        "  (21, 14),\n",
-        "  (21, 27),\n",
-        "  (21, 30),\n",
-        "  (21, 32),\n",
-        "  (21, 39),\n",
-        "  (21, 44),\n",
-        "  (22, 6),\n",
-        "  (22, 25),\n",
-        "  (22, 42),\n",
-        "  (23, 4),\n",
-        "  (23, 6),\n",
-        "  (23, 9),\n",
-        "  (23, 19),\n",
-        "  (23, 22),\n",
-        "  (23, 37),\n",
-        "  (23, 43),\n",
-        "  (23, 47),\n",
-        "  (23, 53),\n",
-        "  (24, 39)],\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)]}"
+        "  (24, 33)]}"
        ]
       }
      ],
      "prompt_number": 21
     },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "keycolumn = make_cadenus_keycolumn(reverse=True)\n",
+      "inverse_keycolumn = {v: l for l, v in keycolumn.items()}\n",
+      "inverse_keycolumn"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 22,
+       "text": [
+        "{0: 'a',\n",
+        " 1: 'z',\n",
+        " 2: 'y',\n",
+        " 3: 'x',\n",
+        " 4: 'w',\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'}"
+       ]
+      }
+     ],
+     "prompt_number": 22
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "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)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [],
+     "prompt_number": 23
+    },
     {
      "cell_type": "code",
      "collapsed": false,
      "input": [
       "solutions = [[p] for p in letter_positions['p']]\n",
-      "for letter in 'has': #'haseeight':\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",
-      "                new_solutions += [solution + [position]]\n",
+      "                if valid_partial_solution(solution + [position], inverse_keycolumn):\n",
+      "                    new_solutions += [solution + [position]]\n",
       "    solutions = new_solutions\n",
       "len(solutions)"
      ],
        "output_type": "pyout",
        "prompt_number": 24,
        "text": [
-        "17639131"
+        "43005"
        ]
       }
      ],
     {
      "cell_type": "code",
      "collapsed": false,
-     "input": [],
+     "input": [
+      "valid_partial_solution(solutions[1], inverse_keycolumn)"
+     ],
      "language": "python",
      "metadata": {},
-     "outputs": [],
-     "prompt_number": 22
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 25,
+       "text": [
+        "True"
+       ]
+      }
+     ],
+     "prompt_number": 25
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "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"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 26,
+       "text": [
+        "['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']"
+       ]
+      }
+     ],
+     "prompt_number": 26
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "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)]"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [],
+     "prompt_number": 27
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "display_solution(solutions[0], columns)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 28,
+       "text": [
+        "['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']"
+       ]
+      }
+     ],
+     "prompt_number": 28
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "sum(Ptrigrams(r) for r in display_rows)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 29,
+       "text": [
+        "-109.09171451522874"
+       ]
+      }
+     ],
+     "prompt_number": 29
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "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)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [],
+     "prompt_number": 30
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "[(s, display_solution(s, columns), score_solution(s, columns)) for s in solutions[:10]]"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 31,
+       "text": [
+        "[([(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)]"
+       ]
+      }
+     ],
+     "prompt_number": 31
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "sorted(solutions[:10], key=lambda s: score_solution(s, columns), reverse=True)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 32,
+       "text": [
+        "[[(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)]]"
+       ]
+      }
+     ],
+     "prompt_number": 32
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "solutions = sorted(solutions, key=lambda s: score_solution(s, columns), reverse=True)[:10000]"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [],
+     "prompt_number": 33
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "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)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 34,
+       "text": [
+        "10000"
+       ]
+      }
+     ],
+     "prompt_number": 34
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "display_solution(solutions[0], columns)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 35,
+       "text": [
+        "['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']"
+       ]
+      }
+     ],
+     "prompt_number": 35
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "hinted_keywords = [w for w in keywords if w[0] =='f' if len(transpositions_of(w)) == 7]\n",
+      "len(hinted_keywords)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 36,
+       "text": [
+        "849"
+       ]
+      }
+     ],
+     "prompt_number": 36
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "hinted_keywords[:10]"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 37,
+       "text": [
+        "['fabrics',\n",
+        " 'facings',\n",
+        " 'faction',\n",
+        " 'factors',\n",
+        " 'factory',\n",
+        " 'faculty',\n",
+        " 'fadeout',\n",
+        " 'failure',\n",
+        " 'fainest',\n",
+        " 'fainted']"
+       ]
+      }
+     ],
+     "prompt_number": 37
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "first_chunk = c8bl[:175]\n",
+      "len(first_chunk)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 38,
+       "text": [
+        "175"
+       ]
+      }
+     ],
+     "prompt_number": 38
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "[cadenus_decipher(first_chunk, w, keycolumn)[:20] for w in hinted_keywords]"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 39,
+       "text": [
+        "['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']"
+       ]
+      }
+     ],
+     "prompt_number": 39
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "[w for w in hinted_keywords if cadenus_decipher(first_chunk, w, keycolumn).startswith('phaseseven')]"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 40,
+       "text": [
+        "[]"
+       ]
+      }
+     ],
+     "prompt_number": 40
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "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"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [],
+     "prompt_number": 41
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "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])"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [],
+     "prompt_number": 42
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "key8b, fitness = cadenus_break(c8bl, words=hinted_keywords, fitness=Ptrigrams)\n",
+      "key8b, fitness"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 43,
+       "text": [
+        "(('finalist',\n",
+        "  {'l': 20,\n",
+        "   'u': 11,\n",
+        "   'p': 16,\n",
+        "   'q': 15,\n",
+        "   'j': 22,\n",
+        "   'm': 19,\n",
+        "   'f': 1,\n",
+        "   'r': 14,\n",
+        "   'b': 5,\n",
+        "   'v': 10,\n",
+        "   'e': 2,\n",
+        "   'x': 9,\n",
+        "   'z': 7,\n",
+        "   'i': 23,\n",
+        "   'k': 21,\n",
+        "   'w': 10,\n",
+        "   'o': 17,\n",
+        "   't': 12,\n",
+        "   'y': 8,\n",
+        "   'a': 6,\n",
+        "   's': 13,\n",
+        "   'c': 4,\n",
+        "   'd': 3,\n",
+        "   'g': 0,\n",
+        "   'h': 24,\n",
+        "   'n': 18}),\n",
+        " -5286.197562931952)"
+       ]
+      }
+     ],
+     "prompt_number": 43
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "cadenus_decipher(first_chunk, key8b[0], key8b[1])"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 44,
+       "text": [
+        "'wledgctftrojhrtheonovoresoovrpanegoarerufofinaltnportiuhertiorafthehasdwarenncompleeeandoastestssoveconlrudedtlsreisnntignfrrrthesinaaltranlicthaaehesecisityseemiceshuneanykhf'"
+       ]
+      }
+     ],
+     "prompt_number": 44
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "[(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, make_cadenus_keycolumn(doubled_letters=d1+d2, start=s, reverse=r)).startswith('phaseseven')]"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 45,
+       "text": [
+        "[]"
+       ]
+      }
+     ],
+     "prompt_number": 45
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "[(w, s, d1+d2, r, cadenus_decipher(first_chunk, w, make_cadenus_keycolumn(doubled_letters=d1+d2, start=s, reverse=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+d2, start=s, reverse=r)).startswith('phase')]"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 53,
+       "text": [
+        "[('filbert',\n",
+        "  'm',\n",
+        "  'lu',\n",
+        "  False,\n",
+        "  'phasennrkmffnhignsdaaojsrcisrncheentoeetueweisvhsounsucoaleyrhreitdioseotototdhsoagreeysifaglenhtlhonriuelseairscnrteameteiwnntneefefcrartataieposrlandrlvtartalvhctofnorehdpro'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'lm',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'lq',\n",
+        "  True,\n",
+        "  'phaseoeeeesnnufleyehhdoddraccseoeshengoenotthsaeovnlnesgurcrnofriearrtiatttsutacihtracaearaielrmanhhtpnleikhdseaigrtcssejpoemlwnrdinlfoisnfnteofetrourstrnrltrtvnaiwhsvafooeyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'lr',\n",
+        "  True,\n",
+        "  'phaseoeeeeynnufledehhdodoraccseoeshengsenotthnaeovnlresgurcanofrietrrtiatitsutacehtracararaielpmanhhtdnleikhtseaigrocssejpdemlwnrsinlfoifnfnteosetrourrtrnrlthtvnaiwesvafoosyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'lw',\n",
+        "  True,\n",
+        "  'phaseoeeeennnuflerehhdodaraccseteshengienottheaeovnlresgurcpnofriedrrtiatttsutacohtracadaraielsmanhhtfnleikhsseaigrrcssejphemlwnreinlfoisnfnteosetrourytrnrltdtvnaiwosvafoooyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'mn',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'mo',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'mp',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'mq',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'mr',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'ms',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'mt',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'mu',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'mv',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'mw',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'mx',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'my',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'mz',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'no',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'np',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'nq',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'nr',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'ns',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'nt',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'nu',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'nv',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'nw',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'nx',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'ny',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('foolerys',\n",
+        "  'z',\n",
+        "  'nz',\n",
+        "  True,\n",
+        "  'phaseoeeeernnuflehehhdoderaccseseshengsenotthyaeovnldesgurconofrieorrtiatstsutacnhtracararaielamanhhttnleikhiseaigrecssejpremlwnrpinlfoidnfnteotetrourotrnrltdtvnaiwssvafoofyoi'),\n",
+        " ('filleting',\n",
+        "  'm',\n",
+        "  'lu',\n",
+        "  False,\n",
+        "  'phasentekmysrhfgndmnrdjsonnpcncofareoestiiteinreovunrvuruleavhtrittocwiotiohothsenoaaeyrhoeilepagehondsfdisetnteinroeugetedsrhwnesoalfrafrnctiesseeoanrtatrarhrscactealafehslll')]"
+       ]
+      }
+     ],
+     "prompt_number": 53
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "[(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('phases')]"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 46,
+       "text": [
+        "[]"
+       ]
+      }
+     ],
+     "prompt_number": 46
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "cadenus_decipher(first_chunk, 'filbert', make_cadenus_keycolumn(doubled_letters='lu', start='m', reverse=False))"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 52,
+       "text": [
+        "'phasennrkmffnhignsdaaojsrcisrncheentoeetueweisvhsounsucoaleyrhreitdioseotototdhsoagreeysifaglenhtlhonriuelseairscnrteameteiwnntneefefcrartataieposrlandrlvtartalvhctofnorehdpro'"
+       ]
+      }
+     ],
+     "prompt_number": 52
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "chunks(first_chunk, 175)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 48,
+       "text": [
+        "['afcaeuottacthrioletcserthshtrahkyorpfrgeoadppjnglternefeofiortsddoeeumscruernfetlaafstwientrvoonerhuahravereetsvsielhlostdoaloyaesmnndignnrhohhtsnaoilncnssicreanneeiiierwtanes']"
+       ]
+      }
+     ],
+     "prompt_number": 48
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [],
+     "language": "python",
+     "metadata": {},
+     "outputs": [],
+     "prompt_number": 48
     }
    ],
    "metadata": {}
index 17a9b525929fa6cdc375ac5433332151e857c483..3a017344873df589901f123756e6003ae4db4307 100644 (file)
--- a/SIGNED.md
+++ b/SIGNED.md
@@ -1,21 +1,21 @@
 ##### Signed by https://keybase.io/neilnjae
 ```
 -----BEGIN PGP SIGNATURE-----
-Version: GnuPG v2.0.22 (GNU/Linux)
-
-iQIcBAABAgAGBQJUodXPAAoJEJPB2e07PgbqiKIQAI+/L+eAsXMar1bKzhmeGiTP
-/D9bQ8u5UEzFw/4b+u2o6oAmNif54vRJMq0sJQpjgkWQRvzAqGiKfqSggAoJdxxL
-hTzR9vpA9v0RPTLS2HI5DhtBn3II5VvpuZNsQVnZwMuagiQ3g/CYGxL2D8JIL7ky
-upLn8TRNMwVrhAcsSHm/ecMvnEyfM9bQ7bC4lTm8RvEQ+tq7HNBFDKlo+NPke4zO
-ndWwtgg7+FynrWJ8zvkI9JhNMzOoCgZDYEu2scFg01+D6IJMeURuUKmrWMmzyW0j
-YOoXXvcdDjb1Ff4CXpyurl7TgH/u0ZEwIESPf8n0sc5IPgTX3JEw4ZIRtsr6lmeo
-GfTxP9KpuWLLDipCxOmdk+XPT6H0ORjbMZqXiYP7TA3CE7u9F3/roRzwHKsToT3c
-Puu+zWnYMqVDuQT/L4sIIIH+Tno82593mONGDUQfQd68XTcLc2aMg+qJtB+INGVC
-mkEjUnrKsVo71QA6s94/yntnMqHStf3URbmMOaMCZEPFF4rEqxqXTpgVsIq5pdSI
-DxeyTom8Prj5mpquoLSBl5TsHYq2ij3wcdthoZU7K+eNv0J7uznSqjUAiVsFNdws
-htFXKBiNfrx69wUG6FtZ8Ext6EJRD8I8EAF5LQZ3DPLLcioonYwXI3gvlCsZsF0g
-napuYFyPZVmZC2jqjzPB
-=f2TR
+Version: GnuPG v2
+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+=fVdI
 -----END PGP SIGNATURE-----
 
 ```
@@ -110,7 +110,7 @@ size     exec  file                                               contents
 23322            2014-challenge5.ipynb                            fb3bb531c62ed943528715cc19e800293e3cd4a176ce3a3fe01e7e585386907e                                                                 
 40307            2014-challenge6.ipynb                            5085a4ae2a562c87983cbff817ac89826973341551980563ae0c77ab747a5dff                                                                 
 44472            2014-challenge7.ipynb                            9800d39c881f22f67f1182f6ca73bbf40a123d0deb598a6009f545f421955241                                                                 
-128113           2014-challenge8.ipynb                            bc4b9252c1a103e7169580be3fbe47dd1c9b4b730c29efb862a93d3cd2ce4cb1                                                                 
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 61               README.md                                        277247b410300ee16477b12ca54ad878d81c8061f6134e2e1cadccaf299de3a3                                                                 
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