kryptos-discovery.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import pandas as pd\n",
    "import pycipher as pc\n",
    "import re\n",
    "from collections import namedtuple\n",
    "\n",
    "from itertools import combinations\n",
    "from time import sleep\n",
    "\n",
    "pd.set_option('display.max_columns', None)\n",
    "os.chdir('/home/mproffitt/src/pykryptos')\n",
    "from pykryptos.cipher import Decipher\n",
    "\n",
    "from enigma.machine import EnigmaMachine"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Set up standard arguments\n",
    "The following block overrides the arguments presented by ArgumentParser when passed to the Decipher class"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Standard settings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "fulltext1=\"\"\"EMUFPHZLRFAXYUSDJKZLDKRNSHGNFIVJ\n",
    "YQTQUXQBQVYUVLLTREVJYQTMKYRDMFD\n",
    "VFPJUDEEHZWETZYVGWHKKQETGFQJNCE\n",
    "GGWHKK?DQMCPFQZDQMMIAGPFXHQRLG\n",
    "TIMVMZJANQLVKQEDAGDVFRPJUNGEUNA\n",
    "QZGZLECGYUXUEENJTBJLBQCRTBJDFHRR\n",
    "YIZETKZEMVDUFKSJHKFWHKUWQLSZFTI\n",
    "HHDDDUVH?DWKBFUFPWNTDFIYCUQZERE\n",
    "EVLDKFEZMOQQJLTTUGSYQPFEUNLAVIDX\n",
    "FLGGTEZ?FKZBSFDQVGOGIPUFXHHDRKF\n",
    "FHQNTGPUAECNUVPDJMQCLQUMUNEDFQ\n",
    "ELZZVRRGKFFVOEEXBDMVPNFQXEZLGRE\n",
    "DNQFMPNZGLFLPMRJQYALMGNUVPDXVKP\n",
    "DQUMEBEDMHDAFMJGZNUPLGEWJLLAETG\n",
    "\"\"\".replace('\\n','')\n",
    "\n",
    "fulltext2 = \"\"\"ENDYAHROHNLSRHEOCPTEOIBIDYSHNAIA\n",
    "CHTNREYULDSLLSLLNOHSNOSMRWXMNE\n",
    "TPRNGATIHNRARPESLNNELEBLPIIACAE\n",
    "WMTWNDITEENRAHCTENEUDRETNHAEOE\n",
    "TFOLSEDTIWENHAEIOYTEYQHEENCTAYCR\n",
    "EIFTBRSPAMHHEWENATAMATEGYEERLB\n",
    "TEEFOASFIOTUETUAEOTOARMAEERTNRTI\n",
    "BSEDDNIAAHTTMSTEWPIEROAGRIEWFEB\n",
    "AECTDDHILCEIHSITEGOEAOSDDRYDLORIT\n",
    "RKLMLEHAGTDHARDPNEOHMGFMFEUHE\n",
    "ECDMRIPFEIMEHNLSSTTRTVDOHW?OBKR\n",
    "UOXOGHULBSOLIFBBWFLRVQQPRNGKSSO\n",
    "TWTQSJQSSEKZZWATJKLUDIAWINFBNYP\n",
    "VTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
    "\"\"\".replace('\\n', '')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "arguments = {\n",
    "    'time':       'now',\n",
    "    'increment':  'second',\n",
    "    'speed':      0.000001,\n",
    "    'alphabet':   ''.join(Decipher.clock_alphabet),\n",
    "    'keyword':    '',\n",
    "    'method':     'add',\n",
    "    'ciphertext': Decipher.ciphertext,\n",
    "    'kryptos':    '',\n",
    "    'preop':      None\n",
    "}\n",
    "arguments = namedtuple('Cipher', arguments.keys())(**arguments)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Decipher object\n",
    "Many of the techniques we're trying in this notebook rely on the decipher class"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "decipher = Decipher(arguments)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Cipher and Vigenere classes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The base class `Cipher` from pycipher does not currently allow appending a keyword. It also has hard coded alphabets in the a2i and i2a functions.\n",
    "\n",
    "This causes problems with the Vigenere class as it becomes less than complete.\n",
    "\n",
    "We redefine the base class here"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Cipher(object):\n",
    "    _alphabet = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ'\n",
    "    _keyword  = ''\n",
    "    \n",
    "    def encipher(self,string):\n",
    "        return string\n",
    "        \n",
    "    def decipher(self,string):\n",
    "        return string\n",
    "        \n",
    "    def a2i(self,ch):\n",
    "        return list(self.alphabet).index(ch.upper())\n",
    "\n",
    "    def i2a(self,i):\n",
    "        return list(self.alphabet)[(i % 26)]\n",
    "    \n",
    "    @property\n",
    "    def keyword(self):\n",
    "        return self._keyword\n",
    "    \n",
    "    @keyword.setter\n",
    "    def keyword(self, keyword):\n",
    "        self._keyword = self.remove_punctuation(keyword)\n",
    "    \n",
    "    @property\n",
    "    def alphabet(self):\n",
    "        return '{}{}'.format(\n",
    "            self._keyword,\n",
    "            ''.join(\n",
    "                sorted(\n",
    "                    list(set(list(self._alphabet)) - set(list(self._keyword)))\n",
    "                )\n",
    "            )\n",
    "        )\n",
    "    \n",
    "    def remove_punctuation(self,text,filter='[^A-Z]'):\n",
    "        return re.sub(filter,'',text.upper())\n",
    "    \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Re-definition of the Vigenere class so it inherits the local Cipher class rather than pycipher.Cipher"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Vigenere(Cipher):\n",
    "    \"\"\"The Vigenere Cipher has a key consisting of a word e.g. 'FORTIFICATION'.\n",
    "    This cipher encrypts a letter according to the Vigenere tableau, the algorithm can be \n",
    "    seen e.g. http://practicalcryptography.com/ciphers/vigenere-gronsfeld-and-autokey-cipher/\n",
    "    \n",
    "    :param key: The keyword, any word or phrase will do. Must consist of alphabetical\n",
    "                characters only, no punctuation of numbers.        \n",
    "    \"\"\"\n",
    "    def __init__(self, key='fortification'):\n",
    "        self.key = [k.upper() for k in key]\n",
    "        \n",
    "    def encipher(self,string):\n",
    "        \"\"\"Encipher string using Vigenere cipher according to initialised key. Punctuation and whitespace\n",
    "        are removed from the input.       \n",
    "\n",
    "        Example::\n",
    "\n",
    "            ciphertext = Vigenere('HELLO').encipher(plaintext)     \n",
    "\n",
    "        :param string: The string to encipher.\n",
    "        :returns: The enciphered string.\n",
    "        \"\"\"           \n",
    "        string = self.remove_punctuation(string)\n",
    "        ret = ''\n",
    "        for (i,c) in enumerate(string):\n",
    "            i = i%len(self.key)\n",
    "            ret += self.i2a(self.a2i(c) + self.a2i(self.key[i]))\n",
    "        return ret    \n",
    "\n",
    "    def decipher(self,string):\n",
    "        \"\"\"Decipher string using Vigenere cipher according to initialised key. Punctuation and whitespace\n",
    "        are removed from the input.       \n",
    "\n",
    "        Example::\n",
    "\n",
    "            plaintext = Vigenere('HELLO').decipher(ciphertext)     \n",
    "\n",
    "        :param string: The string to decipher.\n",
    "        :returns: The enciphered string.\n",
    "        \"\"\"               \n",
    "        string = self.remove_punctuation(string)\n",
    "        ret = ''\n",
    "        for (i,c) in enumerate(string):\n",
    "            i = i%len(self.key)\n",
    "            ret += self.i2a(self.a2i(c) - self.a2i(self.key[i]))\n",
    "        return ret    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## K0 (Morse)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "\n",
    ".  .  ...-  ..  .-.  -  ..-  .-  .-..  .-..  -.--  .  |  .  .  .  .  .  .  ..  -.  ...-  ..  ...  ..  -... .-..  .\n",
    "e  e   V     I   R   T   U   A    L     L     Y    e  |  e  e  e  e  e  e  I   N     V   I    S   I    B    L    E\n",
    "\n",
    "-..  ..  --.  .  -  .-  .-..  .  .  .  |  ..  -.  -  .  .-.  .--.  .-.  .  -  .-  -  ..\n",
    " D   I    G   E  T   A   L    e  e  e  |   I  N   T  E   R    P     R   E  T   A  T  I \n",
    "\n",
    ".  .  ...  ....  .-  -..  ---  .--  .  .  |  ..-.  ---  .-.  -.-.  .  ...  .  .  .  .  .\n",
    "e  e   S    H    A    D    O    W   e  e  |  F      O    R    C    E   S   e  e  e  e  e\n",
    "\n",
    "\n",
    ".-..  ..-  -.-.  ..  -..  .  .  .  |  --  .  --  ---  .-.  -.--  .\n",
    " L     U    C    I    D   e  e  e  |  M   E  M    O    R    Y    e\n",
    "\n",
    "\n",
    "-  ..  ...  -.--  ---  ..-  .-.  |  .--.  ---  ...  ..  -  ..  ---  -.  (.)?\n",
    "T  I    S    Y     O    U    R   |   P     O    S   I   T  I    O   N   (e)?\n",
    "\n",
    "\n",
    "...  ---  ...\n",
    " S     O   S\n",
    "\n",
    ".-.  --.-\n",
    " R    Q"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## K1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'BETWEENSUBTLESHADINGANDTHEABSENCEOFLIGHTLIESTHENUANCEOFIQLUSION'"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "vig1 = Vigenere('PALIMPSEST')\n",
    "vig1.keyword = 'KRYPTOS'\n",
    "k1 = vig1.decipher(fulltext1[:63])\n",
    "k1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## K2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'ITWASTOTALLYINVISIBLEHOWSTHATPOSSIBLETHEYUSEDTHEEARTHSMAGNETICFIELDXTHEINFORMATIONWASGATHEREDANDTRANSMITTEDUNDERGRUUNDTOANUNKNOWNLOCATIONXDOESLANGLEYKNOWABOUTTHISTHEYSHOULDITSBURIEDOUTTHERESOMEWHEREXWHOKNOWSTHEEXACTLOCATIONONLYWWTHISWASHISLASTMESSAGEXTHIRTYEIGHTDEGREESFIFTYSEVENMINUTESSIXPOINTFIVESECONDSNORTHSEVENTYSEVENDEGREESEIGHTMINUTESFORTYFOURSECONDSWESTIDBYROWS'"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "vig2 = Vigenere(key='BSCISSAA')\n",
    "vig2.keyword = 'KRYPTOS'\n",
    "k2 = vig2.decipher(fulltext1)[63:]\n",
    "k2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## K3\n",
    "There is no standard cipher which works for K3 within the pycipher or pykryptos libraries.\n",
    "\n",
    "There are 3 functions necessary for this to take place so we define them here.\n",
    "\n",
    "* Function 1: `chunkstring` Split a string into n-sized chunks and return as a list\n",
    "* Function 2: `rotate` Take a list of chunks and rotate it 90°\n",
    "* Function 3: `transpose` The actual decipher for K3.\n",
    "\n",
    "The Transpose function first writes the message out as 24 columns, then rotates it by 90°, then splits it to 8 columns and rotates it 90°. Finally it splits it to len(2) cols and rotate 90° which gives the final message.\n",
    "\n",
    "I couldn't find an example out there of how to achieve this in code so I wrote my own method to do it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def chunkstring(string, length):\n",
    "    return list((string[0+i:length+i] for i in range(0, len(string), length)))\n",
    "\n",
    "def rotate(chunks, direction='ltr'):\n",
    "    length =  len(''.join(chunks))\n",
    "    new_message = ''\n",
    "    while True:\n",
    "        for index, element in enumerate(chunks):\n",
    "            if len(element) == 0:\n",
    "                new_message += ''\n",
    "                continue\n",
    "            if direction == 'ltr':\n",
    "                new_message += element[0]\n",
    "                chunks[index] = element[1:]\n",
    "            elif direction == 'rtl':\n",
    "                new_message += element[-1]\n",
    "                chunks[index] = element[:-1]\n",
    "        \n",
    "        if len(new_message) == length:\n",
    "            break\n",
    "    return new_message\n",
    "\n",
    "def transpose(message, initial_cols=24, secondary_cols=8):\n",
    "    message = chunkstring(message, initial_cols) # 24 initial columns\n",
    "    message = chunkstring(rotate(message[::-1]), secondary_cols)\n",
    "    message = chunkstring(rotate(message[::-1]), len(message))\n",
    "    return ''.join(message)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'SLOWLYDESPARATLYSLOWLYTHEREMAINSOFPASSAGEDEBRISTHATENCUMBEREDTHELOWERPARTOFTHEDOORWAYWASREMOVEDWITHTREMBLINGHANDSIMADEATINYBREACHINTHEUPPERLEFTHANDCORNERANDTHENWIDENINGTHEHOLEALITTLEIINSERTEDTHECANDLEANDPEEREDINTHEHOTAIRESCAPINGFROMTHECHAMBERCAUSEDTHEFLAMETOFLICKERBUTPRESENTLYDETAILSOFTHEROOMWITHINEMERGEDFROMTHEMISTXCANYOUSEEANYTHINGQ'"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "k3 = transpose(fulltext2[:-98])\n",
    "k3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Etymology of missspellings\n",
    "  \n",
    "An anagram of the misspellings and their respective counterparts is LAQUEO.\t\n",
    "\n",
    "- **Laqueo** (Latin): a noose, snare or trap\n",
    "- **Laqueo** (Spanish):\n",
    "  - Lacquer. A type of varnish applied to wood\n",
    "  - First person singular present indicative form of Laquear\n",
    "- **Laquear** (English): (plural laquears) (architecture) A lacunar.\n",
    "- **Lacunar** (medicine) Of or pertaining to a lacuna\n",
    "- **Lacuna** (plural lacunae or lacunas)\n",
    "  - A small opening; a small pit or depression; a small blank space; a gap or vacancy; a hiatus.\n",
    "  - An absent part, especially in a book or other piece of writing, often referring to an ancient manuscript or similar such.\n",
    "  - (microscopy) A space visible between cells, allowing free passage of light.\n",
    "  - (linguistics) A language gap, which occurs when there is no direct translation in the target language for a lexical term found in the source language.\n",
    "\n",
    "## Additional\n",
    "The letters YAR in the ciphertext (2nd panel, first line) are raised. Whilst this may not be relevant to k4, there is an outside chance that this might be part of the solution"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## K4\n",
    "Workings for K4 (as yet unsolved)\n",
    "\n",
    "One must be very careful with K4 as the whole point of cryptography is mis-direction. There have been several clues given on this cryptogram so far, including:\n",
    "\n",
    "* The words `BERLINCLOCK` as being the plaintext for `NYPVTTMZFPK` (chars 64-75)\n",
    "* That one should look in detail at that clock (widely assumed to be mengenlehruer)\n",
    "* That there are many interesting clocks in Berlin\n",
    "* That there is a 1-1 mapping between the letters and the plaintext (Suspect not)\n",
    "\n",
    "My assumption has always been it's less about Mengenlehruer, and more about set theory; the basis for a number of crypto-analysis techniques\n",
    "\n",
    "> ### Note:\n",
    "> _The Vigenere grid contains 30 characters in the alphabet (`KRYPTOSABCDEFGHIJLMNQUVWXZK`).\n",
    "My assumption all along is that there is only a requirement for the 26 standard characters. This, I believe is wrong but again; misdirection?_\n",
    "\n",
    "In a speach, the sculptor also said there are several interesting clocks in berlin. Question, is this again a clue? Or more misdirection?\n",
    "\n",
    "Of the other clocks, there are two that stand out.\n",
    "\n",
    "* The water clock in the Europa centre\n",
    "* The world clock in Alexanderplatz\n",
    "\n",
    "Alongside this, there is another *clock* of interest.\n",
    "\n",
    "The clock was a deciphering mechanism first developed by the Polish to crack Enigma. It would be of no suprise if Enigma was an interim cipher for K4.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Method to add a keyword at the beginning of an alphabet"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def apply_keyword(keyword=''):\n",
    "    alphabet='ABCDEFGHIJKLMNOPQRSTUVWXYZ'\n",
    "    return '{}{}'.format(\n",
    "        keyword,\n",
    "        ''.join(\n",
    "            sorted(list(set(list(alphabet)) - set(list(keyword))))\n",
    "        )\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create Vigenere grid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_aphagrid(keyword='', dim=(26,26)):\n",
    "    alphabet = apply_keyword(keyword)\n",
    "    while len(alphabet) < dim[0]:\n",
    "        alphabet += alphabet\n",
    "    alphabet = alphabet[:dim[0]]\n",
    "    grid     = [list(alphabet)]\n",
    "    for i in range(len(grid[0])-1):\n",
    "        grid += [grid[i][1:] + [grid[i][0]]]\n",
    "    return grid"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Draw up viginere grid using Pandas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def grid(grid):\n",
    "    df = pd.DataFrame()\n",
    "    df = df.append(grid)\n",
    "    alphabet=apply_keyword()\n",
    "    while len(alphabet) < len(grid[0]):\n",
    "        alphabet += alphabet\n",
    "    alphabet = alphabet[:len(grid[0])]\n",
    "    df.index = df.columns = pd.MultiIndex.from_tuples([\n",
    "        t for t in zip(\n",
    "            [x for x in range(1,len(grid[0])+1)],\n",
    "            [x for x in range(len(grid[0]), -1, -1)],\n",
    "            list(alphabet)\n",
    "        )\n",
    "    ])\n",
    "    return df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "import operator\n",
    "def opsfunc(op):\n",
    "    \"\"\"\n",
    "    The operator function allows for a string to be used as an operator\n",
    "    This is then mapped to the actual method allowing it to be used as a function\n",
    "    \n",
    "    Only provides +,-,* as division is invalid for a ciphertext\n",
    "    \"\"\"\n",
    "    ops = {\n",
    "        \"+\": operator.add,\n",
    "        \"-\": operator.sub,\n",
    "        \"*\": operator.mul\n",
    "    }\n",
    "    return ops[op]\n",
    "\n",
    "def distances(cipher, plain, alphabet='', op='+'):\n",
    "    \"\"\"\n",
    "    Calculates the character used to get from a ciphertext character to a plaintext character\n",
    "    \"\"\"\n",
    "    return_val = []\n",
    "    for x in range(len(plain)):\n",
    "        y = alphabet.index(plain[x].upper())\n",
    "        z = alphabet.index(cipher[x].upper())\n",
    "        \n",
    "        a = (opsfunc(op)(y, z) % len(alphabet))\n",
    "        return_val.append(alphabet[(opsfunc(op)(z, a) % len(alphabet))])\n",
    "    return return_val\n",
    "\n",
    "def calc(c1, c2, alphabet='', op='+'):\n",
    "    \"\"\"\n",
    "    Calculates the distance between two characters\n",
    "    \"\"\"\n",
    "    a1 = alphabet.index(c1)\n",
    "    a2 = alphabetindex(c2)\n",
    "    return opsfunc(op)(a1, a2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "def add(a, b):\n",
    "    global decipher\n",
    "    x = decipher.get_index(a)\n",
    "    y = decipher.get_index(b)\n",
    "    return (x + y) % 26\n",
    "\n",
    "def subtract(a, b):\n",
    "    global decipher\n",
    "    x = decipher.get_index(a)\n",
    "    y = decipher.get_index(b)\n",
    "    return (x - y) % 26\n",
    "\n",
    "def rotate_char(character, shift):\n",
    "    character = character.upper()\n",
    "    index = 0\n",
    "    i = ord(character)\n",
    "    while index < shift:\n",
    "        i += 1\n",
    "        if i > ord('Z'):\n",
    "            i -= 26\n",
    "        elif i < ord('A'):\n",
    "            i = ord('Z') - i\n",
    "        index += 1\n",
    "    \n",
    "    return chr(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Q'"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rotate_char('Q', -1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Class to determine a square on the grid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "class SquareX(object):\n",
    "    forward_x   = 0\n",
    "    forward_y   = 0\n",
    "    backwards_x = 0\n",
    "    backwards_y = 0\n",
    "    character   = ''\n",
    "    index       = 0\n",
    "    position    = 0\n",
    "    \n",
    "    property\n",
    "    def top_right(self):\n",
    "        return (),(forward_y, (len(decipher.actual_alphabet) - self.forward_y)-1)\n",
    "    \n",
    "    def __init__(self, position=1, ciphertext=None, alphabet=None):\n",
    "        if ciphertext is None:\n",
    "            ciphertext = decipher.ciphertext\n",
    "        if alphabet is None:\n",
    "            alphabet=decipher.actual_alphabet\n",
    "\n",
    "        self.position = position\n",
    "        self.character = ciphertext[self.position]\n",
    "        self.index = decipher.a2i(self.character)\n",
    "        \n",
    "        self.forward_x = (\n",
    "            self.position - self.index\n",
    "        ) % len(alphabet)\n",
    "        \n",
    "        self.forward_x = self.forward_x if self.forward_x >= 1 else decipher.a2i('Z')\n",
    "        \n",
    "        self.forward_y = (\n",
    "            (\n",
    "                (decipher.a2i('Z') - self.forward_x) + 1 # add 1 to account for 0 index\n",
    "            ) + self.index) % decipher.a2i('Z')\n",
    "        \n",
    "        self.backwards_x = self.forward_y\n",
    "        self.backwards_y = self.forward_x"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# K4 Test area\n",
    "\n",
    "It is my belief that the k4 cipher is formed of 97 wheels, one for each character. Some of the wheels may repeat but there is no guarantee of this.\n",
    "\n",
    "The work below shows much of this may be true, and how these wheels are formed. This moves the issue from one of deciphering to one of selecting. How does one select the wheels?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ciphertext\n",
    "\n",
    "The ciphertext for k4 is as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "ciphertext = 'OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## clues given and their match to the letters\n",
    "\n",
    "Over the years, the following plaintext has been provided.\n",
    "\n",
    "- November 2010 Characters 64 - 69 (`NYPVTT`) deciphers to the word `BERLIN`\n",
    "- November 2014 Characters 70 - 74 (`MZFPK`) deciphers to the word `CLOCK`\n",
    "- January 2020 Characters 26 - 34 (`QQPRNGKSS`) deciphers to the word `NORTHEAST`\n",
    "\n",
    "These go into a list with their respective ciphertext and position numbers. This is our attack vector on the ciphertext."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "cipher_plain_pairs = [\n",
    "    ('Q', 'N', 26),\n",
    "    ('Q', 'O', 27),\n",
    "    ('P', 'R', 28),\n",
    "    ('R', 'T', 29),\n",
    "    ('N', 'H', 30),\n",
    "    ('G', 'E', 31),\n",
    "    ('K', 'A', 32),\n",
    "    ('S', 'S', 33),\n",
    "    ('S', 'T', 34),\n",
    "    ('N', 'B', 64),\n",
    "    ('Y', 'E', 65),\n",
    "    ('P', 'R', 66),\n",
    "    ('V', 'L', 67),\n",
    "    ('T', 'I', 68),\n",
    "    ('T', 'N', 69),\n",
    "    ('M', 'C', 70),\n",
    "    ('Z', 'L', 71),\n",
    "    ('F', 'O', 72),\n",
    "    ('P', 'C', 73),\n",
    "    ('K', 'K', 74)\n",
    "]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The way to attack this cipher is to look at what is required to get from the ciphertext to the plaintext given above.\n",
    "\n",
    "First, we need to define two functions. One calculates the addition vector to move forward from the ciphertext to the plaintext, the second defines a subtraction vector for the same.\n",
    "\n",
    "For example, to move forward through the alphabet from character N to character D, we pass through Z and wrap round giving us \n",
    "\n",
    "`(Z - N) + D = (26 - 14) + 4 = 13 + 4 = 17 = Q`\n",
    "\n",
    "The subtraction vector is simply the inverse of this."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "def distanceto(x, y):\n",
    "    \"\"\"\n",
    "    Addition vector moving through Z\n",
    "    \n",
    "    :param x The starting character\n",
    "    :param y The character to calculate the distance to\n",
    "    \n",
    "    :return char\n",
    "    \"\"\"\n",
    "    a = decipher.a2i(x)\n",
    "    b = decipher.a2i(y)\n",
    "    c = (26 - a) + b\n",
    "    return decipher.i2a(c % 26)\n",
    "\n",
    "def distancefrom(x, y):\n",
    "    \"\"\"\n",
    "    Subtraction vector moving through Z\n",
    "    \n",
    "    :param x The starting character\n",
    "    :param y The character to calculate the distance to\n",
    "    \n",
    "    :return char\n",
    "    \"\"\"\n",
    "    a = decipher.a2i(x)\n",
    "    b = decipher.a2i(y)\n",
    "    \n",
    "    c = ((26 - a) - b)\n",
    "    return decipher.i2a(c % 26)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using these functions we can then create a new table to work the ciphertext.\n",
    "\n",
    "This table contains the following columns:\n",
    "\n",
    "1. Ciphertext character\n",
    "2. Position in the overall ciphertext\n",
    "3. Respective index of a character in an alphabet repeating the length of the ciphertext\n",
    "4. Inverse alphabetical character index (Alphabet starts at end of ciphertext and runs backwards)\n",
    "5. Character showing `distancefrom` ciphertext to plaintext\n",
    "6. Plaintext character calculated using `distancefrom` the value above\n",
    "7. Character showing `distanceto` ciphertext to plaintext\n",
    "8. Inverse of plaintext version above"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('Q', 26, '26', '19', 'U', 'N', 'D', 'F'),\n",
       " ('Q', 27, '01', '18', 'T', 'O', 'C', 'G'),\n",
       " ('P', 28, '02', '17', 'R', 'R', 'B', 'L'),\n",
       " ('R', 29, '03', '16', 'N', 'T', 'V', 'J'),\n",
       " ('N', 30, '04', '15', 'D', 'H', 'P', 'F'),\n",
       " ('G', 31, '05', '14', 'N', 'E', 'G', 'Q'),\n",
       " ('K', 32, '06', '13', 'N', 'A', 'C', 'E'),\n",
       " ('S', 33, '07', '12', 'N', 'S', 'U', 'G'),\n",
       " ('S', 34, '08', '11', 'M', 'T', 'T', 'H'),\n",
       " ('N', 64, '12', '07', 'J', 'B', 'V', 'Z'),\n",
       " ('Y', 65, '13', '06', 'V', 'E', 'W', 'G'),\n",
       " ('P', 66, '14', '05', 'R', 'R', 'B', 'L'),\n",
       " ('V', 67, '15', '04', 'R', 'L', 'V', 'T'),\n",
       " ('T', 68, '16', '03', 'W', 'I', 'C', 'U'),\n",
       " ('T', 69, '17', '02', 'R', 'N', 'X', 'Z'),\n",
       " ('M', 70, '18', '01', 'J', 'C', 'W', 'C'),\n",
       " ('Z', 71, '19', '26', 'N', 'L', 'N', 'L'),\n",
       " ('F', 72, '20', '25', 'E', 'O', 'Y', 'C'),\n",
       " ('P', 73, '21', '24', 'G', 'C', 'Q', 'W'),\n",
       " ('K', 74, '22', '23', 'D', 'K', 'S', 'O')]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "distance_table = [\n",
    "    (\n",
    "        x[0], # 1.\n",
    "        x[2], # 2.\n",
    "        str(  # 3.\n",
    "            (x[2] % 26) if x[2] % 26 != 0 else 26\n",
    "        ).zfill(2),\n",
    "        \n",
    "        str( # 4.\n",
    "            ((97 - x[2]) % 26) if (97 - x[2]) % 26 != 0 else 26\n",
    "        ).zfill(2),\n",
    "\n",
    "        # negative from cipher to plain\n",
    "        distancefrom(x[0], x[1]),                      # 5.\n",
    "        distancefrom(x[0], distancefrom(x[0], x[1]),), # 6.\n",
    "        distanceto(x[0], distancefrom(x[0], x[1])),    # 7.\n",
    "        distanceto(x[0], distanceto(x[0], x[1]),),     # 8.\n",
    "    )\n",
    "    for x in cipher_plain_pairs\n",
    "]\n",
    "distance_table"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the table above, we can see that in order to get from QQPRNGKSS to the word NORTHEAST, we have to either pass through UTRNDNNNM or DCBVPGUTV\n",
    "\n",
    "This gives a potential attack vector in that we can look at the distances from QQPRNGKSS to UTRNDNNNM"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Wheel table"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "00 QQPRNGKSSNYPVTTMZFPK RRTPXLDNNXBTHLLZZNTD QQPRNGKSSNYPVTTMZFPK\n",
      "01 RRTPXLDNNXBTHLLZZNTD QQPRNGKSSNYPVTTMZFPK QQPRNGKSSNYPVTTMZFPK\n",
      "02 QQPRNGKSSNYPVTTMZFPK QQPRNGKSSNYPVTTMZFPK RRTPXLDNNXBTHLLZZNTD\n",
      "03 QQPRNGKSSNYPVTTMZFPK RRTPXLDNNXBTHLLZZNTD QQPRNGKSSNYPVTTMZFPK\n",
      "04 RRTPXLDNNXBTHLLZZNTD QQPRNGKSSNYPVTTMZFPK QQPRNGKSSNYPVTTMZFPK\n",
      "05 QQPRNGKSSNYPVTTMZFPK QQPRNGKSSNYPVTTMZFPK RRTPXLDNNXBTHLLZZNTD\n"
     ]
    }
   ],
   "source": [
    "#c = ''.join([c[0] for c in distance_table])\n",
    "#s  = ''.join([c[4] for c in distance_table])#\n",
    "\n",
    "c = 'QQPRNGKSSNYPVTTMZFPK'\n",
    "s = 'RRTPXLDNNXBTHLLZZNTD'\n",
    "# this is backwards but easier to set up.\n",
    "# each entry in spokes is a single spoke set from\n",
    "# multiple wheels, with the entire spoke set forming \n",
    "# the whole wheel. \n",
    "spokes = []\n",
    "\n",
    "for i in range(6):\n",
    "    z = ''\n",
    "    y = []\n",
    "    for j in range(len(c)):\n",
    "        z += distancefrom(c[j], s[j])\n",
    "    print('{} {} {} {}'.format(str(i).zfill(2), c, s, z))\n",
    "    spokes.append(c)\n",
    "\n",
    "    c = s\n",
    "    s = z"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What we see here is a wheel moving in 6 phases from QQPRNG... to VWXDJSW with duplication of the value of `distanceto` calculated between the ciphertext and the plaintext above.\n",
    "\n",
    "Curiously, we also see, in the second position (horizontally or vertically) a number of repeated characters.\n",
    "\n",
    "Using this as a basis to start, we calculate an alphabet table merging each character of the ciphertext with each letter of the alphabet, such that `OBKR` is masked with `AAAA`, `BBBB`, `CCCC`, etc."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Z-mappings table"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "    <tr style=\"text-align: right;\">\n",
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       "      <th>2</th>\n",
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       "      <th>6</th>\n",
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       "      <th>15</th>\n",
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       "      <th>24</th>\n",
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       "      <th>30</th>\n",
       "      <th>31</th>\n",
       "      <th>32</th>\n",
       "      <th>33</th>\n",
       "      <th>34</th>\n",
       "      <th>35</th>\n",
       "      <th>36</th>\n",
       "      <th>37</th>\n",
       "      <th>38</th>\n",
       "      <th>39</th>\n",
       "      <th>40</th>\n",
       "      <th>41</th>\n",
       "      <th>42</th>\n",
       "      <th>43</th>\n",
       "      <th>44</th>\n",
       "      <th>45</th>\n",
       "      <th>46</th>\n",
       "      <th>47</th>\n",
       "      <th>48</th>\n",
       "      <th>49</th>\n",
       "      <th>50</th>\n",
       "      <th>51</th>\n",
       "      <th>52</th>\n",
       "      <th>53</th>\n",
       "      <th>54</th>\n",
       "      <th>55</th>\n",
       "      <th>56</th>\n",
       "      <th>57</th>\n",
       "      <th>58</th>\n",
       "      <th>59</th>\n",
       "      <th>60</th>\n",
       "      <th>61</th>\n",
       "      <th>62</th>\n",
       "      <th>63</th>\n",
       "      <th>64</th>\n",
       "      <th>65</th>\n",
       "      <th>66</th>\n",
       "      <th>67</th>\n",
       "      <th>68</th>\n",
       "      <th>69</th>\n",
       "      <th>70</th>\n",
       "      <th>71</th>\n",
       "      <th>72</th>\n",
       "      <th>73</th>\n",
       "      <th>74</th>\n",
       "      <th>75</th>\n",
       "      <th>76</th>\n",
       "      <th>77</th>\n",
       "      <th>78</th>\n",
       "      <th>79</th>\n",
       "      <th>80</th>\n",
       "      <th>81</th>\n",
       "      <th>82</th>\n",
       "      <th>83</th>\n",
       "      <th>84</th>\n",
       "      <th>85</th>\n",
       "      <th>86</th>\n",
       "      <th>87</th>\n",
       "      <th>88</th>\n",
       "      <th>89</th>\n",
       "      <th>90</th>\n",
       "      <th>91</th>\n",
       "      <th>92</th>\n",
       "      <th>93</th>\n",
       "      <th>94</th>\n",
       "      <th>95</th>\n",
       "      <th>96</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>J</td>\n",
       "      <td>W</td>\n",
       "      <td>N</td>\n",
       "      <td>G</td>\n",
       "      <td>D</td>\n",
       "      <td>J</td>\n",
       "      <td>A</td>\n",
       "      <td>J</td>\n",
       "      <td>R</td>\n",
       "      <td>Q</td>\n",
       "      <td>D</td>\n",
       "      <td>M</td>\n",
       "      <td>W</td>\n",
       "      <td>F</td>\n",
       "      <td>J</td>\n",
       "      <td>M</td>\n",
       "      <td>P</td>\n",
       "      <td>S</td>\n",
       "      <td>W</td>\n",
       "      <td>W</td>\n",
       "      <td>B</td>\n",
       "      <td>S</td>\n",
       "      <td>M</td>\n",
       "      <td>G</td>\n",
       "      <td>C</td>\n",
       "      <td>H</td>\n",
       "      <td>H</td>\n",
       "      <td>I</td>\n",
       "      <td>G</td>\n",
       "      <td>K</td>\n",
       "      <td>R</td>\n",
       "      <td>N</td>\n",
       "      <td>F</td>\n",
       "      <td>F</td>\n",
       "      <td>J</td>\n",
       "      <td>E</td>\n",
       "      <td>B</td>\n",
       "      <td>E</td>\n",
       "      <td>H</td>\n",
       "      <td>F</td>\n",
       "      <td>O</td>\n",
       "      <td>H</td>\n",
       "      <td>F</td>\n",
       "      <td>F</td>\n",
       "      <td>T</td>\n",
       "      <td>N</td>\n",
       "      <td>Y</td>\n",
       "      <td>Y</td>\n",
       "      <td>B</td>\n",
       "      <td>X</td>\n",
       "      <td>E</td>\n",
       "      <td>O</td>\n",
       "      <td>N</td>\n",
       "      <td>M</td>\n",
       "      <td>D</td>\n",
       "      <td>U</td>\n",
       "      <td>P</td>\n",
       "      <td>X</td>\n",
       "      <td>B</td>\n",
       "      <td>P</td>\n",
       "      <td>K</td>\n",
       "      <td>S</td>\n",
       "      <td>W</td>\n",
       "      <td>K</td>\n",
       "      <td>Z</td>\n",
       "      <td>I</td>\n",
       "      <td>C</td>\n",
       "      <td>E</td>\n",
       "      <td>E</td>\n",
       "      <td>L</td>\n",
       "      <td>Y</td>\n",
       "      <td>S</td>\n",
       "      <td>I</td>\n",
       "      <td>N</td>\n",
       "      <td>B</td>\n",
       "      <td>R</td>\n",
       "      <td>U</td>\n",
       "      <td>N</td>\n",
       "      <td>Y</td>\n",
       "      <td>A</td>\n",
       "      <td>E</td>\n",
       "      <td>O</td>\n",
       "      <td>V</td>\n",
       "      <td>U</td>\n",
       "      <td>P</td>\n",
       "      <td>R</td>\n",
       "      <td>N</td>\n",
       "      <td>D</td>\n",
       "      <td>Q</td>\n",
       "      <td>D</td>\n",
       "      <td>X</td>\n",
       "      <td>D</td>\n",
       "      <td>T</td>\n",
       "      <td>N</td>\n",
       "      <td>V</td>\n",
       "      <td>X</td>\n",
       "      <td>G</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>I</td>\n",
       "      <td>V</td>\n",
       "      <td>M</td>\n",
       "      <td>F</td>\n",
       "      <td>C</td>\n",
       "      <td>I</td>\n",
       "      <td>Z</td>\n",
       "      <td>I</td>\n",
       "      <td>Q</td>\n",
       "      <td>P</td>\n",
       "      <td>C</td>\n",
       "      <td>L</td>\n",
       "      <td>V</td>\n",
       "      <td>E</td>\n",
       "      <td>I</td>\n",
       "      <td>L</td>\n",
       "      <td>O</td>\n",
       "      <td>R</td>\n",
       "      <td>V</td>\n",
       "      <td>V</td>\n",
       "      <td>A</td>\n",
       "      <td>R</td>\n",
       "      <td>L</td>\n",
       "      <td>F</td>\n",
       "      <td>B</td>\n",
       "      <td>G</td>\n",
       "      <td>G</td>\n",
       "      <td>H</td>\n",
       "      <td>F</td>\n",
       "      <td>J</td>\n",
       "      <td>Q</td>\n",
       "      <td>M</td>\n",
       "      <td>E</td>\n",
       "      <td>E</td>\n",
       "      <td>I</td>\n",
       "      <td>D</td>\n",
       "      <td>A</td>\n",
       "      <td>D</td>\n",
       "      <td>G</td>\n",
       "      <td>E</td>\n",
       "      <td>N</td>\n",
       "      <td>G</td>\n",
       "      <td>E</td>\n",
       "      <td>E</td>\n",
       "      <td>S</td>\n",
       "      <td>M</td>\n",
       "      <td>X</td>\n",
       "      <td>X</td>\n",
       "      <td>A</td>\n",
       "      <td>W</td>\n",
       "      <td>D</td>\n",
       "      <td>N</td>\n",
       "      <td>M</td>\n",
       "      <td>L</td>\n",
       "      <td>C</td>\n",
       "      <td>T</td>\n",
       "      <td>O</td>\n",
       "      <td>W</td>\n",
       "      <td>A</td>\n",
       "      <td>O</td>\n",
       "      <td>J</td>\n",
       "      <td>R</td>\n",
       "      <td>V</td>\n",
       "      <td>J</td>\n",
       "      <td>Y</td>\n",
       "      <td>H</td>\n",
       "      <td>B</td>\n",
       "      <td>D</td>\n",
       "      <td>D</td>\n",
       "      <td>K</td>\n",
       "      <td>X</td>\n",
       "      <td>R</td>\n",
       "      <td>H</td>\n",
       "      <td>M</td>\n",
       "      <td>A</td>\n",
       "      <td>Q</td>\n",
       "      <td>T</td>\n",
       "      <td>M</td>\n",
       "      <td>X</td>\n",
       "      <td>Z</td>\n",
       "      <td>D</td>\n",
       "      <td>N</td>\n",
       "      <td>U</td>\n",
       "      <td>T</td>\n",
       "      <td>O</td>\n",
       "      <td>Q</td>\n",
       "      <td>M</td>\n",
       "      <td>C</td>\n",
       "      <td>P</td>\n",
       "      <td>C</td>\n",
       "      <td>W</td>\n",
       "      <td>C</td>\n",
       "      <td>S</td>\n",
       "      <td>M</td>\n",
       "      <td>U</td>\n",
       "      <td>W</td>\n",
       "      <td>F</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>H</td>\n",
       "      <td>U</td>\n",
       "      <td>L</td>\n",
       "      <td>E</td>\n",
       "      <td>B</td>\n",
       "      <td>H</td>\n",
       "      <td>Y</td>\n",
       "      <td>H</td>\n",
       "      <td>P</td>\n",
       "      <td>O</td>\n",
       "      <td>B</td>\n",
       "      <td>K</td>\n",
       "      <td>U</td>\n",
       "      <td>D</td>\n",
       "      <td>H</td>\n",
       "      <td>K</td>\n",
       "      <td>N</td>\n",
       "      <td>Q</td>\n",
       "      <td>U</td>\n",
       "      <td>U</td>\n",
       "      <td>Z</td>\n",
       "      <td>Q</td>\n",
       "      <td>K</td>\n",
       "      <td>E</td>\n",
       "      <td>A</td>\n",
       "      <td>F</td>\n",
       "      <td>F</td>\n",
       "      <td>G</td>\n",
       "      <td>E</td>\n",
       "      <td>I</td>\n",
       "      <td>P</td>\n",
       "      <td>L</td>\n",
       "      <td>D</td>\n",
       "      <td>D</td>\n",
       "      <td>H</td>\n",
       "      <td>C</td>\n",
       "      <td>Z</td>\n",
       "      <td>C</td>\n",
       "      <td>F</td>\n",
       "      <td>D</td>\n",
       "      <td>M</td>\n",
       "      <td>F</td>\n",
       "      <td>D</td>\n",
       "      <td>D</td>\n",
       "      <td>R</td>\n",
       "      <td>L</td>\n",
       "      <td>W</td>\n",
       "      <td>W</td>\n",
       "      <td>Z</td>\n",
       "      <td>V</td>\n",
       "      <td>C</td>\n",
       "      <td>M</td>\n",
       "      <td>L</td>\n",
       "      <td>K</td>\n",
       "      <td>B</td>\n",
       "      <td>S</td>\n",
       "      <td>N</td>\n",
       "      <td>V</td>\n",
       "      <td>Z</td>\n",
       "      <td>N</td>\n",
       "      <td>I</td>\n",
       "      <td>Q</td>\n",
       "      <td>U</td>\n",
       "      <td>I</td>\n",
       "      <td>X</td>\n",
       "      <td>G</td>\n",
       "      <td>A</td>\n",
       "      <td>C</td>\n",
       "      <td>C</td>\n",
       "      <td>J</td>\n",
       "      <td>W</td>\n",
       "      <td>Q</td>\n",
       "      <td>G</td>\n",
       "      <td>L</td>\n",
       "      <td>Z</td>\n",
       "      <td>P</td>\n",
       "      <td>S</td>\n",
       "      <td>L</td>\n",
       "      <td>W</td>\n",
       "      <td>Y</td>\n",
       "      <td>C</td>\n",
       "      <td>M</td>\n",
       "      <td>T</td>\n",
       "      <td>S</td>\n",
       "      <td>N</td>\n",
       "      <td>P</td>\n",
       "      <td>L</td>\n",
       "      <td>B</td>\n",
       "      <td>O</td>\n",
       "      <td>B</td>\n",
       "      <td>V</td>\n",
       "      <td>B</td>\n",
       "      <td>R</td>\n",
       "      <td>L</td>\n",
       "      <td>T</td>\n",
       "      <td>V</td>\n",
       "      <td>E</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>G</td>\n",
       "      <td>T</td>\n",
       "      <td>K</td>\n",
       "      <td>D</td>\n",
       "      <td>A</td>\n",
       "      <td>G</td>\n",
       "      <td>X</td>\n",
       "      <td>G</td>\n",
       "      <td>O</td>\n",
       "      <td>N</td>\n",
       "      <td>A</td>\n",
       "      <td>J</td>\n",
       "      <td>T</td>\n",
       "      <td>C</td>\n",
       "      <td>G</td>\n",
       "      <td>J</td>\n",
       "      <td>M</td>\n",
       "      <td>P</td>\n",
       "      <td>T</td>\n",
       "      <td>T</td>\n",
       "      <td>Y</td>\n",
       "      <td>P</td>\n",
       "      <td>J</td>\n",
       "      <td>D</td>\n",
       "      <td>Z</td>\n",
       "      <td>E</td>\n",
       "      <td>E</td>\n",
       "      <td>F</td>\n",
       "      <td>D</td>\n",
       "      <td>H</td>\n",
       "      <td>O</td>\n",
       "      <td>K</td>\n",
       "      <td>C</td>\n",
       "      <td>C</td>\n",
       "      <td>G</td>\n",
       "      <td>B</td>\n",
       "      <td>Y</td>\n",
       "      <td>B</td>\n",
       "      <td>E</td>\n",
       "      <td>C</td>\n",
       "      <td>L</td>\n",
       "      <td>E</td>\n",
       "      <td>C</td>\n",
       "      <td>C</td>\n",
       "      <td>Q</td>\n",
       "      <td>K</td>\n",
       "      <td>V</td>\n",
       "      <td>V</td>\n",
       "      <td>Y</td>\n",
       "      <td>U</td>\n",
       "      <td>B</td>\n",
       "      <td>L</td>\n",
       "      <td>K</td>\n",
       "      <td>J</td>\n",
       "      <td>A</td>\n",
       "      <td>R</td>\n",
       "      <td>M</td>\n",
       "      <td>U</td>\n",
       "      <td>Y</td>\n",
       "      <td>M</td>\n",
       "      <td>H</td>\n",
       "      <td>P</td>\n",
       "      <td>T</td>\n",
       "      <td>H</td>\n",
       "      <td>W</td>\n",
       "      <td>F</td>\n",
       "      <td>Z</td>\n",
       "      <td>B</td>\n",
       "      <td>B</td>\n",
       "      <td>I</td>\n",
       "      <td>V</td>\n",
       "      <td>P</td>\n",
       "      <td>F</td>\n",
       "      <td>K</td>\n",
       "      <td>Y</td>\n",
       "      <td>O</td>\n",
       "      <td>R</td>\n",
       "      <td>K</td>\n",
       "      <td>V</td>\n",
       "      <td>X</td>\n",
       "      <td>B</td>\n",
       "      <td>L</td>\n",
       "      <td>S</td>\n",
       "      <td>R</td>\n",
       "      <td>M</td>\n",
       "      <td>O</td>\n",
       "      <td>K</td>\n",
       "      <td>A</td>\n",
       "      <td>N</td>\n",
       "      <td>A</td>\n",
       "      <td>U</td>\n",
       "      <td>A</td>\n",
       "      <td>Q</td>\n",
       "      <td>K</td>\n",
       "      <td>S</td>\n",
       "      <td>U</td>\n",
       "      <td>D</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>F</td>\n",
       "      <td>S</td>\n",
       "      <td>J</td>\n",
       "      <td>C</td>\n",
       "      <td>Z</td>\n",
       "      <td>F</td>\n",
       "      <td>W</td>\n",
       "      <td>F</td>\n",
       "      <td>N</td>\n",
       "      <td>M</td>\n",
       "      <td>Z</td>\n",
       "      <td>I</td>\n",
       "      <td>S</td>\n",
       "      <td>B</td>\n",
       "      <td>F</td>\n",
       "      <td>I</td>\n",
       "      <td>L</td>\n",
       "      <td>O</td>\n",
       "      <td>S</td>\n",
       "      <td>S</td>\n",
       "      <td>X</td>\n",
       "      <td>O</td>\n",
       "      <td>I</td>\n",
       "      <td>C</td>\n",
       "      <td>Y</td>\n",
       "      <td>D</td>\n",
       "      <td>D</td>\n",
       "      <td>E</td>\n",
       "      <td>C</td>\n",
       "      <td>G</td>\n",
       "      <td>N</td>\n",
       "      <td>J</td>\n",
       "      <td>B</td>\n",
       "      <td>B</td>\n",
       "      <td>F</td>\n",
       "      <td>A</td>\n",
       "      <td>X</td>\n",
       "      <td>A</td>\n",
       "      <td>D</td>\n",
       "      <td>B</td>\n",
       "      <td>K</td>\n",
       "      <td>D</td>\n",
       "      <td>B</td>\n",
       "      <td>B</td>\n",
       "      <td>P</td>\n",
       "      <td>J</td>\n",
       "      <td>U</td>\n",
       "      <td>U</td>\n",
       "      <td>X</td>\n",
       "      <td>T</td>\n",
       "      <td>A</td>\n",
       "      <td>K</td>\n",
       "      <td>J</td>\n",
       "      <td>I</td>\n",
       "      <td>Z</td>\n",
       "      <td>Q</td>\n",
       "      <td>L</td>\n",
       "      <td>T</td>\n",
       "      <td>X</td>\n",
       "      <td>L</td>\n",
       "      <td>G</td>\n",
       "      <td>O</td>\n",
       "      <td>S</td>\n",
       "      <td>G</td>\n",
       "      <td>V</td>\n",
       "      <td>E</td>\n",
       "      <td>Y</td>\n",
       "      <td>A</td>\n",
       "      <td>A</td>\n",
       "      <td>H</td>\n",
       "      <td>U</td>\n",
       "      <td>O</td>\n",
       "      <td>E</td>\n",
       "      <td>J</td>\n",
       "      <td>X</td>\n",
       "      <td>N</td>\n",
       "      <td>Q</td>\n",
       "      <td>J</td>\n",
       "      <td>U</td>\n",
       "      <td>W</td>\n",
       "      <td>A</td>\n",
       "      <td>K</td>\n",
       "      <td>R</td>\n",
       "      <td>Q</td>\n",
       "      <td>L</td>\n",
       "      <td>N</td>\n",
       "      <td>J</td>\n",
       "      <td>Z</td>\n",
       "      <td>M</td>\n",
       "      <td>Z</td>\n",
       "      <td>T</td>\n",
       "      <td>Z</td>\n",
       "      <td>P</td>\n",
       "      <td>J</td>\n",
       "      <td>R</td>\n",
       "      <td>T</td>\n",
       "      <td>C</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>E</td>\n",
       "      <td>R</td>\n",
       "      <td>I</td>\n",
       "      <td>B</td>\n",
       "      <td>Y</td>\n",
       "      <td>E</td>\n",
       "      <td>V</td>\n",
       "      <td>E</td>\n",
       "      <td>M</td>\n",
       "      <td>L</td>\n",
       "      <td>Y</td>\n",
       "      <td>H</td>\n",
       "      <td>R</td>\n",
       "      <td>A</td>\n",
       "      <td>E</td>\n",
       "      <td>H</td>\n",
       "      <td>K</td>\n",
       "      <td>N</td>\n",
       "      <td>R</td>\n",
       "      <td>R</td>\n",
       "      <td>W</td>\n",
       "      <td>N</td>\n",
       "      <td>H</td>\n",
       "      <td>B</td>\n",
       "      <td>X</td>\n",
       "      <td>C</td>\n",
       "      <td>C</td>\n",
       "      <td>D</td>\n",
       "      <td>B</td>\n",
       "      <td>F</td>\n",
       "      <td>M</td>\n",
       "      <td>I</td>\n",
       "      <td>A</td>\n",
       "      <td>A</td>\n",
       "      <td>E</td>\n",
       "      <td>Z</td>\n",
       "      <td>W</td>\n",
       "      <td>Z</td>\n",
       "      <td>C</td>\n",
       "      <td>A</td>\n",
       "      <td>J</td>\n",
       "      <td>C</td>\n",
       "      <td>A</td>\n",
       "      <td>A</td>\n",
       "      <td>O</td>\n",
       "      <td>I</td>\n",
       "      <td>T</td>\n",
       "      <td>T</td>\n",
       "      <td>W</td>\n",
       "      <td>S</td>\n",
       "      <td>Z</td>\n",
       "      <td>J</td>\n",
       "      <td>I</td>\n",
       "      <td>H</td>\n",
       "      <td>Y</td>\n",
       "      <td>P</td>\n",
       "      <td>K</td>\n",
       "      <td>S</td>\n",
       "      <td>W</td>\n",
       "      <td>K</td>\n",
       "      <td>F</td>\n",
       "      <td>N</td>\n",
       "      <td>R</td>\n",
       "      <td>F</td>\n",
       "      <td>U</td>\n",
       "      <td>D</td>\n",
       "      <td>X</td>\n",
       "      <td>Z</td>\n",
       "      <td>Z</td>\n",
       "      <td>G</td>\n",
       "      <td>T</td>\n",
       "      <td>N</td>\n",
       "      <td>D</td>\n",
       "      <td>I</td>\n",
       "      <td>W</td>\n",
       "      <td>M</td>\n",
       "      <td>P</td>\n",
       "      <td>I</td>\n",
       "      <td>T</td>\n",
       "      <td>V</td>\n",
       "      <td>Z</td>\n",
       "      <td>J</td>\n",
       "      <td>Q</td>\n",
       "      <td>P</td>\n",
       "      <td>K</td>\n",
       "      <td>M</td>\n",
       "      <td>I</td>\n",
       "      <td>Y</td>\n",
       "      <td>L</td>\n",
       "      <td>Y</td>\n",
       "      <td>S</td>\n",
       "      <td>Y</td>\n",
       "      <td>O</td>\n",
       "      <td>I</td>\n",
       "      <td>Q</td>\n",
       "      <td>S</td>\n",
       "      <td>B</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>D</td>\n",
       "      <td>Q</td>\n",
       "      <td>H</td>\n",
       "      <td>A</td>\n",
       "      <td>X</td>\n",
       "      <td>D</td>\n",
       "      <td>U</td>\n",
       "      <td>D</td>\n",
       "      <td>L</td>\n",
       "      <td>K</td>\n",
       "      <td>X</td>\n",
       "      <td>G</td>\n",
       "      <td>Q</td>\n",
       "      <td>Z</td>\n",
       "      <td>D</td>\n",
       "      <td>G</td>\n",
       "      <td>J</td>\n",
       "      <td>M</td>\n",
       "      <td>Q</td>\n",
       "      <td>Q</td>\n",
       "      <td>V</td>\n",
       "      <td>M</td>\n",
       "      <td>G</td>\n",
       "      <td>A</td>\n",
       "      <td>W</td>\n",
       "      <td>B</td>\n",
       "      <td>B</td>\n",
       "      <td>C</td>\n",
       "      <td>A</td>\n",
       "      <td>E</td>\n",
       "      <td>L</td>\n",
       "      <td>H</td>\n",
       "      <td>Z</td>\n",
       "      <td>Z</td>\n",
       "      <td>D</td>\n",
       "      <td>Y</td>\n",
       "      <td>V</td>\n",
       "      <td>Y</td>\n",
       "      <td>B</td>\n",
       "      <td>Z</td>\n",
       "      <td>I</td>\n",
       "      <td>B</td>\n",
       "      <td>Z</td>\n",
       "      <td>Z</td>\n",
       "      <td>N</td>\n",
       "      <td>H</td>\n",
       "      <td>S</td>\n",
       "      <td>S</td>\n",
       "      <td>V</td>\n",
       "      <td>R</td>\n",
       "      <td>Y</td>\n",
       "      <td>I</td>\n",
       "      <td>H</td>\n",
       "      <td>G</td>\n",
       "      <td>X</td>\n",
       "      <td>O</td>\n",
       "      <td>J</td>\n",
       "      <td>R</td>\n",
       "      <td>V</td>\n",
       "      <td>J</td>\n",
       "      <td>E</td>\n",
       "      <td>M</td>\n",
       "      <td>Q</td>\n",
       "      <td>E</td>\n",
       "      <td>T</td>\n",
       "      <td>C</td>\n",
       "      <td>W</td>\n",
       "      <td>Y</td>\n",
       "      <td>Y</td>\n",
       "      <td>F</td>\n",
       "      <td>S</td>\n",
       "      <td>M</td>\n",
       "      <td>C</td>\n",
       "      <td>H</td>\n",
       "      <td>V</td>\n",
       "      <td>L</td>\n",
       "      <td>O</td>\n",
       "      <td>H</td>\n",
       "      <td>S</td>\n",
       "      <td>U</td>\n",
       "      <td>Y</td>\n",
       "      <td>I</td>\n",
       "      <td>P</td>\n",
       "      <td>O</td>\n",
       "      <td>J</td>\n",
       "      <td>L</td>\n",
       "      <td>H</td>\n",
       "      <td>X</td>\n",
       "      <td>K</td>\n",
       "      <td>X</td>\n",
       "      <td>R</td>\n",
       "      <td>X</td>\n",
       "      <td>N</td>\n",
       "      <td>H</td>\n",
       "      <td>P</td>\n",
       "      <td>R</td>\n",
       "      <td>A</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>C</td>\n",
       "      <td>P</td>\n",
       "      <td>G</td>\n",
       "      <td>Z</td>\n",
       "      <td>W</td>\n",
       "      <td>C</td>\n",
       "      <td>T</td>\n",
       "      <td>C</td>\n",
       "      <td>K</td>\n",
       "      <td>J</td>\n",
       "      <td>W</td>\n",
       "      <td>F</td>\n",
       "      <td>P</td>\n",
       "      <td>Y</td>\n",
       "      <td>C</td>\n",
       "      <td>F</td>\n",
       "      <td>I</td>\n",
       "      <td>L</td>\n",
       "      <td>P</td>\n",
       "      <td>P</td>\n",
       "      <td>U</td>\n",
       "      <td>L</td>\n",
       "      <td>F</td>\n",
       "      <td>Z</td>\n",
       "      <td>V</td>\n",
       "      <td>A</td>\n",
       "      <td>A</td>\n",
       "      <td>B</td>\n",
       "      <td>Z</td>\n",
       "      <td>D</td>\n",
       "      <td>K</td>\n",
       "      <td>G</td>\n",
       "      <td>Y</td>\n",
       "      <td>Y</td>\n",
       "      <td>C</td>\n",
       "      <td>X</td>\n",
       "      <td>U</td>\n",
       "      <td>X</td>\n",
       "      <td>A</td>\n",
       "      <td>Y</td>\n",
       "      <td>H</td>\n",
       "      <td>A</td>\n",
       "      <td>Y</td>\n",
       "      <td>Y</td>\n",
       "      <td>M</td>\n",
       "      <td>G</td>\n",
       "      <td>R</td>\n",
       "      <td>R</td>\n",
       "      <td>U</td>\n",
       "      <td>Q</td>\n",
       "      <td>X</td>\n",
       "      <td>H</td>\n",
       "      <td>G</td>\n",
       "      <td>F</td>\n",
       "      <td>W</td>\n",
       "      <td>N</td>\n",
       "      <td>I</td>\n",
       "      <td>Q</td>\n",
       "      <td>U</td>\n",
       "      <td>I</td>\n",
       "      <td>D</td>\n",
       "      <td>L</td>\n",
       "      <td>P</td>\n",
       "      <td>D</td>\n",
       "      <td>S</td>\n",
       "      <td>B</td>\n",
       "      <td>V</td>\n",
       "      <td>X</td>\n",
       "      <td>X</td>\n",
       "      <td>E</td>\n",
       "      <td>R</td>\n",
       "      <td>L</td>\n",
       "      <td>B</td>\n",
       "      <td>G</td>\n",
       "      <td>U</td>\n",
       "      <td>K</td>\n",
       "      <td>N</td>\n",
       "      <td>G</td>\n",
       "      <td>R</td>\n",
       "      <td>T</td>\n",
       "      <td>X</td>\n",
       "      <td>H</td>\n",
       "      <td>O</td>\n",
       "      <td>N</td>\n",
       "      <td>I</td>\n",
       "      <td>K</td>\n",
       "      <td>G</td>\n",
       "      <td>W</td>\n",
       "      <td>J</td>\n",
       "      <td>W</td>\n",
       "      <td>Q</td>\n",
       "      <td>W</td>\n",
       "      <td>M</td>\n",
       "      <td>G</td>\n",
       "      <td>O</td>\n",
       "      <td>Q</td>\n",
       "      <td>Z</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>B</td>\n",
       "      <td>O</td>\n",
       "      <td>F</td>\n",
       "      <td>Y</td>\n",
       "      <td>V</td>\n",
       "      <td>B</td>\n",
       "      <td>S</td>\n",
       "      <td>B</td>\n",
       "      <td>J</td>\n",
       "      <td>I</td>\n",
       "      <td>V</td>\n",
       "      <td>E</td>\n",
       "      <td>O</td>\n",
       "      <td>X</td>\n",
       "      <td>B</td>\n",
       "      <td>E</td>\n",
       "      <td>H</td>\n",
       "      <td>K</td>\n",
       "      <td>O</td>\n",
       "      <td>O</td>\n",
       "      <td>T</td>\n",
       "      <td>K</td>\n",
       "      <td>E</td>\n",
       "      <td>Y</td>\n",
       "      <td>U</td>\n",
       "      <td>Z</td>\n",
       "      <td>Z</td>\n",
       "      <td>A</td>\n",
       "      <td>Y</td>\n",
       "      <td>C</td>\n",
       "      <td>J</td>\n",
       "      <td>F</td>\n",
       "      <td>X</td>\n",
       "      <td>X</td>\n",
       "      <td>B</td>\n",
       "      <td>W</td>\n",
       "      <td>T</td>\n",
       "      <td>W</td>\n",
       "      <td>Z</td>\n",
       "      <td>X</td>\n",
       "      <td>G</td>\n",
       "      <td>Z</td>\n",
       "      <td>X</td>\n",
       "      <td>X</td>\n",
       "      <td>L</td>\n",
       "      <td>F</td>\n",
       "      <td>Q</td>\n",
       "      <td>Q</td>\n",
       "      <td>T</td>\n",
       "      <td>P</td>\n",
       "      <td>W</td>\n",
       "      <td>G</td>\n",
       "      <td>F</td>\n",
       "      <td>E</td>\n",
       "      <td>V</td>\n",
       "      <td>M</td>\n",
       "      <td>H</td>\n",
       "      <td>P</td>\n",
       "      <td>T</td>\n",
       "      <td>H</td>\n",
       "      <td>C</td>\n",
       "      <td>K</td>\n",
       "      <td>O</td>\n",
       "      <td>C</td>\n",
       "      <td>R</td>\n",
       "      <td>A</td>\n",
       "      <td>U</td>\n",
       "      <td>W</td>\n",
       "      <td>W</td>\n",
       "      <td>D</td>\n",
       "      <td>Q</td>\n",
       "      <td>K</td>\n",
       "      <td>A</td>\n",
       "      <td>F</td>\n",
       "      <td>T</td>\n",
       "      <td>J</td>\n",
       "      <td>M</td>\n",
       "      <td>F</td>\n",
       "      <td>Q</td>\n",
       "      <td>S</td>\n",
       "      <td>W</td>\n",
       "      <td>G</td>\n",
       "      <td>N</td>\n",
       "      <td>M</td>\n",
       "      <td>H</td>\n",
       "      <td>J</td>\n",
       "      <td>F</td>\n",
       "      <td>V</td>\n",
       "      <td>I</td>\n",
       "      <td>V</td>\n",
       "      <td>P</td>\n",
       "      <td>V</td>\n",
       "      <td>L</td>\n",
       "      <td>F</td>\n",
       "      <td>N</td>\n",
       "      <td>P</td>\n",
       "      <td>Y</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>A</td>\n",
       "      <td>N</td>\n",
       "      <td>E</td>\n",
       "      <td>X</td>\n",
       "      <td>U</td>\n",
       "      <td>A</td>\n",
       "      <td>R</td>\n",
       "      <td>A</td>\n",
       "      <td>I</td>\n",
       "      <td>H</td>\n",
       "      <td>U</td>\n",
       "      <td>D</td>\n",
       "      <td>N</td>\n",
       "      <td>W</td>\n",
       "      <td>A</td>\n",
       "      <td>D</td>\n",
       "      <td>G</td>\n",
       "      <td>J</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>S</td>\n",
       "      <td>J</td>\n",
       "      <td>D</td>\n",
       "      <td>X</td>\n",
       "      <td>T</td>\n",
       "      <td>Y</td>\n",
       "      <td>Y</td>\n",
       "      <td>Z</td>\n",
       "      <td>X</td>\n",
       "      <td>B</td>\n",
       "      <td>I</td>\n",
       "      <td>E</td>\n",
       "      <td>W</td>\n",
       "      <td>W</td>\n",
       "      <td>A</td>\n",
       "      <td>V</td>\n",
       "      <td>S</td>\n",
       "      <td>V</td>\n",
       "      <td>Y</td>\n",
       "      <td>W</td>\n",
       "      <td>F</td>\n",
       "      <td>Y</td>\n",
       "      <td>W</td>\n",
       "      <td>W</td>\n",
       "      <td>K</td>\n",
       "      <td>E</td>\n",
       "      <td>P</td>\n",
       "      <td>P</td>\n",
       "      <td>S</td>\n",
       "      <td>O</td>\n",
       "      <td>V</td>\n",
       "      <td>F</td>\n",
       "      <td>E</td>\n",
       "      <td>D</td>\n",
       "      <td>U</td>\n",
       "      <td>L</td>\n",
       "      <td>G</td>\n",
       "      <td>O</td>\n",
       "      <td>S</td>\n",
       "      <td>G</td>\n",
       "      <td>B</td>\n",
       "      <td>J</td>\n",
       "      <td>N</td>\n",
       "      <td>B</td>\n",
       "      <td>Q</td>\n",
       "      <td>Z</td>\n",
       "      <td>T</td>\n",
       "      <td>V</td>\n",
       "      <td>V</td>\n",
       "      <td>C</td>\n",
       "      <td>P</td>\n",
       "      <td>J</td>\n",
       "      <td>Z</td>\n",
       "      <td>E</td>\n",
       "      <td>S</td>\n",
       "      <td>I</td>\n",
       "      <td>L</td>\n",
       "      <td>E</td>\n",
       "      <td>P</td>\n",
       "      <td>R</td>\n",
       "      <td>V</td>\n",
       "      <td>F</td>\n",
       "      <td>M</td>\n",
       "      <td>L</td>\n",
       "      <td>G</td>\n",
       "      <td>I</td>\n",
       "      <td>E</td>\n",
       "      <td>U</td>\n",
       "      <td>H</td>\n",
       "      <td>U</td>\n",
       "      <td>O</td>\n",
       "      <td>U</td>\n",
       "      <td>K</td>\n",
       "      <td>E</td>\n",
       "      <td>M</td>\n",
       "      <td>O</td>\n",
       "      <td>X</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>Z</td>\n",
       "      <td>M</td>\n",
       "      <td>D</td>\n",
       "      <td>W</td>\n",
       "      <td>T</td>\n",
       "      <td>Z</td>\n",
       "      <td>Q</td>\n",
       "      <td>Z</td>\n",
       "      <td>H</td>\n",
       "      <td>G</td>\n",
       "      <td>T</td>\n",
       "      <td>C</td>\n",
       "      <td>M</td>\n",
       "      <td>V</td>\n",
       "      <td>Z</td>\n",
       "      <td>C</td>\n",
       "      <td>F</td>\n",
       "      <td>I</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>R</td>\n",
       "      <td>I</td>\n",
       "      <td>C</td>\n",
       "      <td>W</td>\n",
       "      <td>S</td>\n",
       "      <td>X</td>\n",
       "      <td>X</td>\n",
       "      <td>Y</td>\n",
       "      <td>W</td>\n",
       "      <td>A</td>\n",
       "      <td>H</td>\n",
       "      <td>D</td>\n",
       "      <td>V</td>\n",
       "      <td>V</td>\n",
       "      <td>Z</td>\n",
       "      <td>U</td>\n",
       "      <td>R</td>\n",
       "      <td>U</td>\n",
       "      <td>X</td>\n",
       "      <td>V</td>\n",
       "      <td>E</td>\n",
       "      <td>X</td>\n",
       "      <td>V</td>\n",
       "      <td>V</td>\n",
       "      <td>J</td>\n",
       "      <td>D</td>\n",
       "      <td>O</td>\n",
       "      <td>O</td>\n",
       "      <td>R</td>\n",
       "      <td>N</td>\n",
       "      <td>U</td>\n",
       "      <td>E</td>\n",
       "      <td>D</td>\n",
       "      <td>C</td>\n",
       "      <td>T</td>\n",
       "      <td>K</td>\n",
       "      <td>F</td>\n",
       "      <td>N</td>\n",
       "      <td>R</td>\n",
       "      <td>F</td>\n",
       "      <td>A</td>\n",
       "      <td>I</td>\n",
       "      <td>M</td>\n",
       "      <td>A</td>\n",
       "      <td>P</td>\n",
       "      <td>Y</td>\n",
       "      <td>S</td>\n",
       "      <td>U</td>\n",
       "      <td>U</td>\n",
       "      <td>B</td>\n",
       "      <td>O</td>\n",
       "      <td>I</td>\n",
       "      <td>Y</td>\n",
       "      <td>D</td>\n",
       "      <td>R</td>\n",
       "      <td>H</td>\n",
       "      <td>K</td>\n",
       "      <td>D</td>\n",
       "      <td>O</td>\n",
       "      <td>Q</td>\n",
       "      <td>U</td>\n",
       "      <td>E</td>\n",
       "      <td>L</td>\n",
       "      <td>K</td>\n",
       "      <td>F</td>\n",
       "      <td>H</td>\n",
       "      <td>D</td>\n",
       "      <td>T</td>\n",
       "      <td>G</td>\n",
       "      <td>T</td>\n",
       "      <td>N</td>\n",
       "      <td>T</td>\n",
       "      <td>J</td>\n",
       "      <td>D</td>\n",
       "      <td>L</td>\n",
       "      <td>N</td>\n",
       "      <td>W</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>Y</td>\n",
       "      <td>L</td>\n",
       "      <td>C</td>\n",
       "      <td>V</td>\n",
       "      <td>S</td>\n",
       "      <td>Y</td>\n",
       "      <td>P</td>\n",
       "      <td>Y</td>\n",
       "      <td>G</td>\n",
       "      <td>F</td>\n",
       "      <td>S</td>\n",
       "      <td>B</td>\n",
       "      <td>L</td>\n",
       "      <td>U</td>\n",
       "      <td>Y</td>\n",
       "      <td>B</td>\n",
       "      <td>E</td>\n",
       "      <td>H</td>\n",
       "      <td>L</td>\n",
       "      <td>L</td>\n",
       "      <td>Q</td>\n",
       "      <td>H</td>\n",
       "      <td>B</td>\n",
       "      <td>V</td>\n",
       "      <td>R</td>\n",
       "      <td>W</td>\n",
       "      <td>W</td>\n",
       "      <td>X</td>\n",
       "      <td>V</td>\n",
       "      <td>Z</td>\n",
       "      <td>G</td>\n",
       "      <td>C</td>\n",
       "      <td>U</td>\n",
       "      <td>U</td>\n",
       "      <td>Y</td>\n",
       "      <td>T</td>\n",
       "      <td>Q</td>\n",
       "      <td>T</td>\n",
       "      <td>W</td>\n",
       "      <td>U</td>\n",
       "      <td>D</td>\n",
       "      <td>W</td>\n",
       "      <td>U</td>\n",
       "      <td>U</td>\n",
       "      <td>I</td>\n",
       "      <td>C</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Q</td>\n",
       "      <td>M</td>\n",
       "      <td>T</td>\n",
       "      <td>D</td>\n",
       "      <td>C</td>\n",
       "      <td>B</td>\n",
       "      <td>S</td>\n",
       "      <td>J</td>\n",
       "      <td>E</td>\n",
       "      <td>M</td>\n",
       "      <td>Q</td>\n",
       "      <td>E</td>\n",
       "      <td>Z</td>\n",
       "      <td>H</td>\n",
       "      <td>L</td>\n",
       "      <td>Z</td>\n",
       "      <td>O</td>\n",
       "      <td>X</td>\n",
       "      <td>R</td>\n",
       "      <td>T</td>\n",
       "      <td>T</td>\n",
       "      <td>A</td>\n",
       "      <td>N</td>\n",
       "      <td>H</td>\n",
       "      <td>X</td>\n",
       "      <td>C</td>\n",
       "      <td>Q</td>\n",
       "      <td>G</td>\n",
       "      <td>J</td>\n",
       "      <td>C</td>\n",
       "      <td>N</td>\n",
       "      <td>P</td>\n",
       "      <td>T</td>\n",
       "      <td>D</td>\n",
       "      <td>K</td>\n",
       "      <td>J</td>\n",
       "      <td>E</td>\n",
       "      <td>G</td>\n",
       "      <td>C</td>\n",
       "      <td>S</td>\n",
       "      <td>F</td>\n",
       "      <td>S</td>\n",
       "      <td>M</td>\n",
       "      <td>S</td>\n",
       "      <td>I</td>\n",
       "      <td>C</td>\n",
       "      <td>K</td>\n",
       "      <td>M</td>\n",
       "      <td>V</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>X</td>\n",
       "      <td>K</td>\n",
       "      <td>B</td>\n",
       "      <td>U</td>\n",
       "      <td>R</td>\n",
       "      <td>X</td>\n",
       "      <td>O</td>\n",
       "      <td>X</td>\n",
       "      <td>F</td>\n",
       "      <td>E</td>\n",
       "      <td>R</td>\n",
       "      <td>A</td>\n",
       "      <td>K</td>\n",
       "      <td>T</td>\n",
       "      <td>X</td>\n",
       "      <td>A</td>\n",
       "      <td>D</td>\n",
       "      <td>G</td>\n",
       "      <td>K</td>\n",
       "      <td>K</td>\n",
       "      <td>P</td>\n",
       "      <td>G</td>\n",
       "      <td>A</td>\n",
       "      <td>U</td>\n",
       "      <td>Q</td>\n",
       "      <td>V</td>\n",
       "      <td>V</td>\n",
       "      <td>W</td>\n",
       "      <td>U</td>\n",
       "      <td>Y</td>\n",
       "      <td>F</td>\n",
       "      <td>B</td>\n",
       "      <td>T</td>\n",
       "      <td>T</td>\n",
       "      <td>X</td>\n",
       "      <td>S</td>\n",
       "      <td>P</td>\n",
       "      <td>S</td>\n",
       "      <td>V</td>\n",
       "      <td>T</td>\n",
       "      <td>C</td>\n",
       "      <td>V</td>\n",
       "      <td>T</td>\n",
       "      <td>T</td>\n",
       "      <td>H</td>\n",
       "      <td>B</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>P</td>\n",
       "      <td>L</td>\n",
       "      <td>S</td>\n",
       "      <td>C</td>\n",
       "      <td>B</td>\n",
       "      <td>A</td>\n",
       "      <td>R</td>\n",
       "      <td>I</td>\n",
       "      <td>D</td>\n",
       "      <td>L</td>\n",
       "      <td>P</td>\n",
       "      <td>D</td>\n",
       "      <td>Y</td>\n",
       "      <td>G</td>\n",
       "      <td>K</td>\n",
       "      <td>Y</td>\n",
       "      <td>N</td>\n",
       "      <td>W</td>\n",
       "      <td>Q</td>\n",
       "      <td>S</td>\n",
       "      <td>S</td>\n",
       "      <td>Z</td>\n",
       "      <td>M</td>\n",
       "      <td>G</td>\n",
       "      <td>W</td>\n",
       "      <td>B</td>\n",
       "      <td>P</td>\n",
       "      <td>F</td>\n",
       "      <td>I</td>\n",
       "      <td>B</td>\n",
       "      <td>M</td>\n",
       "      <td>O</td>\n",
       "      <td>S</td>\n",
       "      <td>C</td>\n",
       "      <td>J</td>\n",
       "      <td>I</td>\n",
       "      <td>D</td>\n",
       "      <td>F</td>\n",
       "      <td>B</td>\n",
       "      <td>R</td>\n",
       "      <td>E</td>\n",
       "      <td>R</td>\n",
       "      <td>L</td>\n",
       "      <td>R</td>\n",
       "      <td>H</td>\n",
       "      <td>B</td>\n",
       "      <td>J</td>\n",
       "      <td>L</td>\n",
       "      <td>U</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>W</td>\n",
       "      <td>J</td>\n",
       "      <td>A</td>\n",
       "      <td>T</td>\n",
       "      <td>Q</td>\n",
       "      <td>W</td>\n",
       "      <td>N</td>\n",
       "      <td>W</td>\n",
       "      <td>E</td>\n",
       "      <td>D</td>\n",
       "      <td>Q</td>\n",
       "      <td>Z</td>\n",
       "      <td>J</td>\n",
       "      <td>S</td>\n",
       "      <td>W</td>\n",
       "      <td>Z</td>\n",
       "      <td>C</td>\n",
       "      <td>F</td>\n",
       "      <td>J</td>\n",
       "      <td>J</td>\n",
       "      <td>O</td>\n",
       "      <td>F</td>\n",
       "      <td>Z</td>\n",
       "      <td>T</td>\n",
       "      <td>P</td>\n",
       "      <td>U</td>\n",
       "      <td>U</td>\n",
       "      <td>V</td>\n",
       "      <td>T</td>\n",
       "      <td>X</td>\n",
       "      <td>E</td>\n",
       "      <td>A</td>\n",
       "      <td>S</td>\n",
       "      <td>S</td>\n",
       "      <td>W</td>\n",
       "      <td>R</td>\n",
       "      <td>O</td>\n",
       "      <td>R</td>\n",
       "      <td>U</td>\n",
       "      <td>S</td>\n",
       "      <td>B</td>\n",
       "      <td>U</td>\n",
       "      <td>S</td>\n",
       "      <td>S</td>\n",
       "      <td>G</td>\n",
       "      <td>A</td>\n",
       "      <td>L</td>\n",
       "      <td>L</td>\n",
       "      <td>O</td>\n",
       "      <td>K</td>\n",
       "      <td>R</td>\n",
       "      <td>B</td>\n",
       "      <td>A</td>\n",
       "      <td>Z</td>\n",
       "      <td>Q</td>\n",
       "      <td>H</td>\n",
       "      <td>C</td>\n",
       "      <td>K</td>\n",
       "      <td>O</td>\n",
       "      <td>C</td>\n",
       "      <td>X</td>\n",
       "      <td>F</td>\n",
       "      <td>J</td>\n",
       "      <td>X</td>\n",
       "      <td>M</td>\n",
       "      <td>V</td>\n",
       "      <td>P</td>\n",
       "      <td>R</td>\n",
       "      <td>R</td>\n",
       "      <td>Y</td>\n",
       "      <td>L</td>\n",
       "      <td>F</td>\n",
       "      <td>V</td>\n",
       "      <td>A</td>\n",
       "      <td>O</td>\n",
       "      <td>E</td>\n",
       "      <td>H</td>\n",
       "      <td>A</td>\n",
       "      <td>L</td>\n",
       "      <td>N</td>\n",
       "      <td>R</td>\n",
       "      <td>B</td>\n",
       "      <td>I</td>\n",
       "      <td>H</td>\n",
       "      <td>C</td>\n",
       "      <td>E</td>\n",
       "      <td>A</td>\n",
       "      <td>Q</td>\n",
       "      <td>D</td>\n",
       "      <td>Q</td>\n",
       "      <td>K</td>\n",
       "      <td>Q</td>\n",
       "      <td>G</td>\n",
       "      <td>A</td>\n",
       "      <td>I</td>\n",
       "      <td>K</td>\n",
       "      <td>T</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>V</td>\n",
       "      <td>I</td>\n",
       "      <td>Z</td>\n",
       "      <td>S</td>\n",
       "      <td>P</td>\n",
       "      <td>V</td>\n",
       "      <td>M</td>\n",
       "      <td>V</td>\n",
       "      <td>D</td>\n",
       "      <td>C</td>\n",
       "      <td>P</td>\n",
       "      <td>Y</td>\n",
       "      <td>I</td>\n",
       "      <td>R</td>\n",
       "      <td>V</td>\n",
       "      <td>Y</td>\n",
       "      <td>B</td>\n",
       "      <td>E</td>\n",
       "      <td>I</td>\n",
       "      <td>I</td>\n",
       "      <td>N</td>\n",
       "      <td>E</td>\n",
       "      <td>Y</td>\n",
       "      <td>S</td>\n",
       "      <td>O</td>\n",
       "      <td>T</td>\n",
       "      <td>T</td>\n",
       "      <td>U</td>\n",
       "      <td>S</td>\n",
       "      <td>W</td>\n",
       "      <td>D</td>\n",
       "      <td>Z</td>\n",
       "      <td>R</td>\n",
       "      <td>R</td>\n",
       "      <td>V</td>\n",
       "      <td>Q</td>\n",
       "      <td>N</td>\n",
       "      <td>Q</td>\n",
       "      <td>T</td>\n",
       "      <td>R</td>\n",
       "      <td>A</td>\n",
       "      <td>T</td>\n",
       "      <td>R</td>\n",
       "      <td>R</td>\n",
       "      <td>F</td>\n",
       "      <td>Z</td>\n",
       "      <td>K</td>\n",
       "      <td>K</td>\n",
       "      <td>N</td>\n",
       "      <td>J</td>\n",
       "      <td>Q</td>\n",
       "      <td>A</td>\n",
       "      <td>Z</td>\n",
       "      <td>Y</td>\n",
       "      <td>P</td>\n",
       "      <td>G</td>\n",
       "      <td>B</td>\n",
       "      <td>J</td>\n",
       "      <td>N</td>\n",
       "      <td>B</td>\n",
       "      <td>W</td>\n",
       "      <td>E</td>\n",
       "      <td>I</td>\n",
       "      <td>W</td>\n",
       "      <td>L</td>\n",
       "      <td>U</td>\n",
       "      <td>O</td>\n",
       "      <td>Q</td>\n",
       "      <td>Q</td>\n",
       "      <td>X</td>\n",
       "      <td>K</td>\n",
       "      <td>E</td>\n",
       "      <td>U</td>\n",
       "      <td>Z</td>\n",
       "      <td>N</td>\n",
       "      <td>D</td>\n",
       "      <td>G</td>\n",
       "      <td>Z</td>\n",
       "      <td>K</td>\n",
       "      <td>M</td>\n",
       "      <td>Q</td>\n",
       "      <td>A</td>\n",
       "      <td>H</td>\n",
       "      <td>G</td>\n",
       "      <td>B</td>\n",
       "      <td>D</td>\n",
       "      <td>Z</td>\n",
       "      <td>P</td>\n",
       "      <td>C</td>\n",
       "      <td>P</td>\n",
       "      <td>J</td>\n",
       "      <td>P</td>\n",
       "      <td>F</td>\n",
       "      <td>Z</td>\n",
       "      <td>H</td>\n",
       "      <td>J</td>\n",
       "      <td>S</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>U</td>\n",
       "      <td>H</td>\n",
       "      <td>Y</td>\n",
       "      <td>R</td>\n",
       "      <td>O</td>\n",
       "      <td>U</td>\n",
       "      <td>L</td>\n",
       "      <td>U</td>\n",
       "      <td>C</td>\n",
       "      <td>B</td>\n",
       "      <td>O</td>\n",
       "      <td>X</td>\n",
       "      <td>H</td>\n",
       "      <td>Q</td>\n",
       "      <td>U</td>\n",
       "      <td>X</td>\n",
       "      <td>A</td>\n",
       "      <td>D</td>\n",
       "      <td>H</td>\n",
       "      <td>H</td>\n",
       "      <td>M</td>\n",
       "      <td>D</td>\n",
       "      <td>X</td>\n",
       "      <td>R</td>\n",
       "      <td>N</td>\n",
       "      <td>S</td>\n",
       "      <td>S</td>\n",
       "      <td>T</td>\n",
       "      <td>R</td>\n",
       "      <td>V</td>\n",
       "      <td>C</td>\n",
       "      <td>Y</td>\n",
       "      <td>Q</td>\n",
       "      <td>Q</td>\n",
       "      <td>U</td>\n",
       "      <td>P</td>\n",
       "      <td>M</td>\n",
       "      <td>P</td>\n",
       "      <td>S</td>\n",
       "      <td>Q</td>\n",
       "      <td>Z</td>\n",
       "      <td>S</td>\n",
       "      <td>Q</td>\n",
       "      <td>Q</td>\n",
       "      <td>E</td>\n",
       "      <td>Y</td>\n",
       "      <td>J</td>\n",
       "      <td>J</td>\n",
       "      <td>M</td>\n",
       "      <td>I</td>\n",
       "      <td>P</td>\n",
       "      <td>Z</td>\n",
       "      <td>Y</td>\n",
       "      <td>X</td>\n",
       "      <td>O</td>\n",
       "      <td>F</td>\n",
       "      <td>A</td>\n",
       "      <td>I</td>\n",
       "      <td>M</td>\n",
       "      <td>A</td>\n",
       "      <td>V</td>\n",
       "      <td>D</td>\n",
       "      <td>H</td>\n",
       "      <td>V</td>\n",
       "      <td>K</td>\n",
       "      <td>T</td>\n",
       "      <td>N</td>\n",
       "      <td>P</td>\n",
       "      <td>P</td>\n",
       "      <td>W</td>\n",
       "      <td>J</td>\n",
       "      <td>D</td>\n",
       "      <td>T</td>\n",
       "      <td>Y</td>\n",
       "      <td>M</td>\n",
       "      <td>C</td>\n",
       "      <td>F</td>\n",
       "      <td>Y</td>\n",
       "      <td>J</td>\n",
       "      <td>L</td>\n",
       "      <td>P</td>\n",
       "      <td>Z</td>\n",
       "      <td>G</td>\n",
       "      <td>F</td>\n",
       "      <td>A</td>\n",
       "      <td>C</td>\n",
       "      <td>Y</td>\n",
       "      <td>O</td>\n",
       "      <td>B</td>\n",
       "      <td>O</td>\n",
       "      <td>I</td>\n",
       "      <td>O</td>\n",
       "      <td>E</td>\n",
       "      <td>Y</td>\n",
       "      <td>G</td>\n",
       "      <td>I</td>\n",
       "      <td>R</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>T</td>\n",
       "      <td>G</td>\n",
       "      <td>X</td>\n",
       "      <td>Q</td>\n",
       "      <td>N</td>\n",
       "      <td>T</td>\n",
       "      <td>K</td>\n",
       "      <td>T</td>\n",
       "      <td>B</td>\n",
       "      <td>A</td>\n",
       "      <td>N</td>\n",
       "      <td>W</td>\n",
       "      <td>G</td>\n",
       "      <td>P</td>\n",
       "      <td>T</td>\n",
       "      <td>W</td>\n",
       "      <td>Z</td>\n",
       "      <td>C</td>\n",
       "      <td>G</td>\n",
       "      <td>G</td>\n",
       "      <td>L</td>\n",
       "      <td>C</td>\n",
       "      <td>W</td>\n",
       "      <td>Q</td>\n",
       "      <td>M</td>\n",
       "      <td>R</td>\n",
       "      <td>R</td>\n",
       "      <td>S</td>\n",
       "      <td>Q</td>\n",
       "      <td>U</td>\n",
       "      <td>B</td>\n",
       "      <td>X</td>\n",
       "      <td>P</td>\n",
       "      <td>P</td>\n",
       "      <td>T</td>\n",
       "      <td>O</td>\n",
       "      <td>L</td>\n",
       "      <td>O</td>\n",
       "      <td>R</td>\n",
       "      <td>P</td>\n",
       "      <td>Y</td>\n",
       "      <td>R</td>\n",
       "      <td>P</td>\n",
       "      <td>P</td>\n",
       "      <td>D</td>\n",
       "      <td>X</td>\n",
       "      <td>I</td>\n",
       "      <td>I</td>\n",
       "      <td>L</td>\n",
       "      <td>H</td>\n",
       "      <td>O</td>\n",
       "      <td>Y</td>\n",
       "      <td>X</td>\n",
       "      <td>W</td>\n",
       "      <td>N</td>\n",
       "      <td>E</td>\n",
       "      <td>Z</td>\n",
       "      <td>H</td>\n",
       "      <td>L</td>\n",
       "      <td>Z</td>\n",
       "      <td>U</td>\n",
       "      <td>C</td>\n",
       "      <td>G</td>\n",
       "      <td>U</td>\n",
       "      <td>J</td>\n",
       "      <td>S</td>\n",
       "      <td>M</td>\n",
       "      <td>O</td>\n",
       "      <td>O</td>\n",
       "      <td>V</td>\n",
       "      <td>I</td>\n",
       "      <td>C</td>\n",
       "      <td>S</td>\n",
       "      <td>X</td>\n",
       "      <td>L</td>\n",
       "      <td>B</td>\n",
       "      <td>E</td>\n",
       "      <td>X</td>\n",
       "      <td>I</td>\n",
       "      <td>K</td>\n",
       "      <td>O</td>\n",
       "      <td>Y</td>\n",
       "      <td>F</td>\n",
       "      <td>E</td>\n",
       "      <td>Z</td>\n",
       "      <td>B</td>\n",
       "      <td>X</td>\n",
       "      <td>N</td>\n",
       "      <td>A</td>\n",
       "      <td>N</td>\n",
       "      <td>H</td>\n",
       "      <td>N</td>\n",
       "      <td>D</td>\n",
       "      <td>X</td>\n",
       "      <td>F</td>\n",
       "      <td>H</td>\n",
       "      <td>Q</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>S</td>\n",
       "      <td>F</td>\n",
       "      <td>W</td>\n",
       "      <td>P</td>\n",
       "      <td>M</td>\n",
       "      <td>S</td>\n",
       "      <td>J</td>\n",
       "      <td>S</td>\n",
       "      <td>A</td>\n",
       "      <td>Z</td>\n",
       "      <td>M</td>\n",
       "      <td>V</td>\n",
       "      <td>F</td>\n",
       "      <td>O</td>\n",
       "      <td>S</td>\n",
       "      <td>V</td>\n",
       "      <td>Y</td>\n",
       "      <td>B</td>\n",
       "      <td>F</td>\n",
       "      <td>F</td>\n",
       "      <td>K</td>\n",
       "      <td>B</td>\n",
       "      <td>V</td>\n",
       "      <td>P</td>\n",
       "      <td>L</td>\n",
       "      <td>Q</td>\n",
       "      <td>Q</td>\n",
       "      <td>R</td>\n",
       "      <td>P</td>\n",
       "      <td>T</td>\n",
       "      <td>A</td>\n",
       "      <td>W</td>\n",
       "      <td>O</td>\n",
       "      <td>O</td>\n",
       "      <td>S</td>\n",
       "      <td>N</td>\n",
       "      <td>K</td>\n",
       "      <td>N</td>\n",
       "      <td>Q</td>\n",
       "      <td>O</td>\n",
       "      <td>X</td>\n",
       "      <td>Q</td>\n",
       "      <td>O</td>\n",
       "      <td>O</td>\n",
       "      <td>C</td>\n",
       "      <td>W</td>\n",
       "      <td>H</td>\n",
       "      <td>H</td>\n",
       "      <td>K</td>\n",
       "      <td>G</td>\n",
       "      <td>N</td>\n",
       "      <td>X</td>\n",
       "      <td>W</td>\n",
       "      <td>V</td>\n",
       "      <td>M</td>\n",
       "      <td>D</td>\n",
       "      <td>Y</td>\n",
       "      <td>G</td>\n",
       "      <td>K</td>\n",
       "      <td>Y</td>\n",
       "      <td>T</td>\n",
       "      <td>B</td>\n",
       "      <td>F</td>\n",
       "      <td>T</td>\n",
       "      <td>I</td>\n",
       "      <td>R</td>\n",
       "      <td>L</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>U</td>\n",
       "      <td>H</td>\n",
       "      <td>B</td>\n",
       "      <td>R</td>\n",
       "      <td>W</td>\n",
       "      <td>K</td>\n",
       "      <td>A</td>\n",
       "      <td>D</td>\n",
       "      <td>W</td>\n",
       "      <td>H</td>\n",
       "      <td>J</td>\n",
       "      <td>N</td>\n",
       "      <td>X</td>\n",
       "      <td>E</td>\n",
       "      <td>D</td>\n",
       "      <td>Y</td>\n",
       "      <td>A</td>\n",
       "      <td>W</td>\n",
       "      <td>M</td>\n",
       "      <td>Z</td>\n",
       "      <td>M</td>\n",
       "      <td>G</td>\n",
       "      <td>M</td>\n",
       "      <td>C</td>\n",
       "      <td>W</td>\n",
       "      <td>E</td>\n",
       "      <td>G</td>\n",
       "      <td>P</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>R</td>\n",
       "      <td>E</td>\n",
       "      <td>V</td>\n",
       "      <td>O</td>\n",
       "      <td>L</td>\n",
       "      <td>R</td>\n",
       "      <td>I</td>\n",
       "      <td>R</td>\n",
       "      <td>Z</td>\n",
       "      <td>Y</td>\n",
       "      <td>L</td>\n",
       "      <td>U</td>\n",
       "      <td>E</td>\n",
       "      <td>N</td>\n",
       "      <td>R</td>\n",
       "      <td>U</td>\n",
       "      <td>X</td>\n",
       "      <td>A</td>\n",
       "      <td>E</td>\n",
       "      <td>E</td>\n",
       "      <td>J</td>\n",
       "      <td>A</td>\n",
       "      <td>U</td>\n",
       "      <td>O</td>\n",
       "      <td>K</td>\n",
       "      <td>P</td>\n",
       "      <td>P</td>\n",
       "      <td>Q</td>\n",
       "      <td>O</td>\n",
       "      <td>S</td>\n",
       "      <td>Z</td>\n",
       "      <td>V</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>R</td>\n",
       "      <td>M</td>\n",
       "      <td>J</td>\n",
       "      <td>M</td>\n",
       "      <td>P</td>\n",
       "      <td>N</td>\n",
       "      <td>W</td>\n",
       "      <td>P</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>B</td>\n",
       "      <td>V</td>\n",
       "      <td>G</td>\n",
       "      <td>G</td>\n",
       "      <td>J</td>\n",
       "      <td>F</td>\n",
       "      <td>M</td>\n",
       "      <td>W</td>\n",
       "      <td>V</td>\n",
       "      <td>U</td>\n",
       "      <td>L</td>\n",
       "      <td>C</td>\n",
       "      <td>X</td>\n",
       "      <td>F</td>\n",
       "      <td>J</td>\n",
       "      <td>X</td>\n",
       "      <td>S</td>\n",
       "      <td>A</td>\n",
       "      <td>E</td>\n",
       "      <td>S</td>\n",
       "      <td>H</td>\n",
       "      <td>Q</td>\n",
       "      <td>K</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>T</td>\n",
       "      <td>G</td>\n",
       "      <td>A</td>\n",
       "      <td>Q</td>\n",
       "      <td>V</td>\n",
       "      <td>J</td>\n",
       "      <td>Z</td>\n",
       "      <td>C</td>\n",
       "      <td>V</td>\n",
       "      <td>G</td>\n",
       "      <td>I</td>\n",
       "      <td>M</td>\n",
       "      <td>W</td>\n",
       "      <td>D</td>\n",
       "      <td>C</td>\n",
       "      <td>X</td>\n",
       "      <td>Z</td>\n",
       "      <td>V</td>\n",
       "      <td>L</td>\n",
       "      <td>Y</td>\n",
       "      <td>L</td>\n",
       "      <td>F</td>\n",
       "      <td>L</td>\n",
       "      <td>B</td>\n",
       "      <td>V</td>\n",
       "      <td>D</td>\n",
       "      <td>F</td>\n",
       "      <td>O</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>Q</td>\n",
       "      <td>D</td>\n",
       "      <td>U</td>\n",
       "      <td>N</td>\n",
       "      <td>K</td>\n",
       "      <td>Q</td>\n",
       "      <td>H</td>\n",
       "      <td>Q</td>\n",
       "      <td>Y</td>\n",
       "      <td>X</td>\n",
       "      <td>K</td>\n",
       "      <td>T</td>\n",
       "      <td>D</td>\n",
       "      <td>M</td>\n",
       "      <td>Q</td>\n",
       "      <td>T</td>\n",
       "      <td>W</td>\n",
       "      <td>Z</td>\n",
       "      <td>D</td>\n",
       "      <td>D</td>\n",
       "      <td>I</td>\n",
       "      <td>Z</td>\n",
       "      <td>T</td>\n",
       "      <td>N</td>\n",
       "      <td>J</td>\n",
       "      <td>O</td>\n",
       "      <td>O</td>\n",
       "      <td>P</td>\n",
       "      <td>N</td>\n",
       "      <td>R</td>\n",
       "      <td>Y</td>\n",
       "      <td>U</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>Q</td>\n",
       "      <td>L</td>\n",
       "      <td>I</td>\n",
       "      <td>L</td>\n",
       "      <td>O</td>\n",
       "      <td>M</td>\n",
       "      <td>V</td>\n",
       "      <td>O</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>A</td>\n",
       "      <td>U</td>\n",
       "      <td>F</td>\n",
       "      <td>F</td>\n",
       "      <td>I</td>\n",
       "      <td>E</td>\n",
       "      <td>L</td>\n",
       "      <td>V</td>\n",
       "      <td>U</td>\n",
       "      <td>T</td>\n",
       "      <td>K</td>\n",
       "      <td>B</td>\n",
       "      <td>W</td>\n",
       "      <td>E</td>\n",
       "      <td>I</td>\n",
       "      <td>W</td>\n",
       "      <td>R</td>\n",
       "      <td>Z</td>\n",
       "      <td>D</td>\n",
       "      <td>R</td>\n",
       "      <td>G</td>\n",
       "      <td>P</td>\n",
       "      <td>J</td>\n",
       "      <td>L</td>\n",
       "      <td>L</td>\n",
       "      <td>S</td>\n",
       "      <td>F</td>\n",
       "      <td>Z</td>\n",
       "      <td>P</td>\n",
       "      <td>U</td>\n",
       "      <td>I</td>\n",
       "      <td>Y</td>\n",
       "      <td>B</td>\n",
       "      <td>U</td>\n",
       "      <td>F</td>\n",
       "      <td>H</td>\n",
       "      <td>L</td>\n",
       "      <td>V</td>\n",
       "      <td>C</td>\n",
       "      <td>B</td>\n",
       "      <td>W</td>\n",
       "      <td>Y</td>\n",
       "      <td>U</td>\n",
       "      <td>K</td>\n",
       "      <td>X</td>\n",
       "      <td>K</td>\n",
       "      <td>E</td>\n",
       "      <td>K</td>\n",
       "      <td>A</td>\n",
       "      <td>U</td>\n",
       "      <td>C</td>\n",
       "      <td>E</td>\n",
       "      <td>N</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>P</td>\n",
       "      <td>C</td>\n",
       "      <td>T</td>\n",
       "      <td>M</td>\n",
       "      <td>J</td>\n",
       "      <td>P</td>\n",
       "      <td>G</td>\n",
       "      <td>P</td>\n",
       "      <td>X</td>\n",
       "      <td>W</td>\n",
       "      <td>J</td>\n",
       "      <td>S</td>\n",
       "      <td>C</td>\n",
       "      <td>L</td>\n",
       "      <td>P</td>\n",
       "      <td>S</td>\n",
       "      <td>V</td>\n",
       "      <td>Y</td>\n",
       "      <td>C</td>\n",
       "      <td>C</td>\n",
       "      <td>H</td>\n",
       "      <td>Y</td>\n",
       "      <td>S</td>\n",
       "      <td>M</td>\n",
       "      <td>I</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>O</td>\n",
       "      <td>M</td>\n",
       "      <td>Q</td>\n",
       "      <td>X</td>\n",
       "      <td>T</td>\n",
       "      <td>L</td>\n",
       "      <td>L</td>\n",
       "      <td>P</td>\n",
       "      <td>K</td>\n",
       "      <td>H</td>\n",
       "      <td>K</td>\n",
       "      <td>N</td>\n",
       "      <td>L</td>\n",
       "      <td>U</td>\n",
       "      <td>N</td>\n",
       "      <td>L</td>\n",
       "      <td>L</td>\n",
       "      <td>Z</td>\n",
       "      <td>T</td>\n",
       "      <td>E</td>\n",
       "      <td>E</td>\n",
       "      <td>H</td>\n",
       "      <td>D</td>\n",
       "      <td>K</td>\n",
       "      <td>U</td>\n",
       "      <td>T</td>\n",
       "      <td>S</td>\n",
       "      <td>J</td>\n",
       "      <td>A</td>\n",
       "      <td>V</td>\n",
       "      <td>D</td>\n",
       "      <td>H</td>\n",
       "      <td>V</td>\n",
       "      <td>Q</td>\n",
       "      <td>Y</td>\n",
       "      <td>C</td>\n",
       "      <td>Q</td>\n",
       "      <td>F</td>\n",
       "      <td>O</td>\n",
       "      <td>I</td>\n",
       "      <td>K</td>\n",
       "      <td>K</td>\n",
       "      <td>R</td>\n",
       "      <td>E</td>\n",
       "      <td>Y</td>\n",
       "      <td>O</td>\n",
       "      <td>T</td>\n",
       "      <td>H</td>\n",
       "      <td>X</td>\n",
       "      <td>A</td>\n",
       "      <td>T</td>\n",
       "      <td>E</td>\n",
       "      <td>G</td>\n",
       "      <td>K</td>\n",
       "      <td>U</td>\n",
       "      <td>B</td>\n",
       "      <td>A</td>\n",
       "      <td>V</td>\n",
       "      <td>X</td>\n",
       "      <td>T</td>\n",
       "      <td>J</td>\n",
       "      <td>W</td>\n",
       "      <td>J</td>\n",
       "      <td>D</td>\n",
       "      <td>J</td>\n",
       "      <td>Z</td>\n",
       "      <td>T</td>\n",
       "      <td>B</td>\n",
       "      <td>D</td>\n",
       "      <td>M</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>O</td>\n",
       "      <td>B</td>\n",
       "      <td>S</td>\n",
       "      <td>L</td>\n",
       "      <td>I</td>\n",
       "      <td>O</td>\n",
       "      <td>F</td>\n",
       "      <td>O</td>\n",
       "      <td>W</td>\n",
       "      <td>V</td>\n",
       "      <td>I</td>\n",
       "      <td>R</td>\n",
       "      <td>B</td>\n",
       "      <td>K</td>\n",
       "      <td>O</td>\n",
       "      <td>R</td>\n",
       "      <td>U</td>\n",
       "      <td>X</td>\n",
       "      <td>B</td>\n",
       "      <td>B</td>\n",
       "      <td>G</td>\n",
       "      <td>X</td>\n",
       "      <td>R</td>\n",
       "      <td>L</td>\n",
       "      <td>H</td>\n",
       "      <td>M</td>\n",
       "      <td>M</td>\n",
       "      <td>N</td>\n",
       "      <td>L</td>\n",
       "      <td>P</td>\n",
       "      <td>W</td>\n",
       "      <td>S</td>\n",
       "      <td>K</td>\n",
       "      <td>K</td>\n",
       "      <td>O</td>\n",
       "      <td>J</td>\n",
       "      <td>G</td>\n",
       "      <td>J</td>\n",
       "      <td>M</td>\n",
       "      <td>K</td>\n",
       "      <td>T</td>\n",
       "      <td>M</td>\n",
       "      <td>K</td>\n",
       "      <td>K</td>\n",
       "      <td>Y</td>\n",
       "      <td>S</td>\n",
       "      <td>D</td>\n",
       "      <td>D</td>\n",
       "      <td>G</td>\n",
       "      <td>C</td>\n",
       "      <td>J</td>\n",
       "      <td>T</td>\n",
       "      <td>S</td>\n",
       "      <td>R</td>\n",
       "      <td>I</td>\n",
       "      <td>Z</td>\n",
       "      <td>U</td>\n",
       "      <td>C</td>\n",
       "      <td>G</td>\n",
       "      <td>U</td>\n",
       "      <td>P</td>\n",
       "      <td>X</td>\n",
       "      <td>B</td>\n",
       "      <td>P</td>\n",
       "      <td>E</td>\n",
       "      <td>N</td>\n",
       "      <td>H</td>\n",
       "      <td>J</td>\n",
       "      <td>J</td>\n",
       "      <td>Q</td>\n",
       "      <td>D</td>\n",
       "      <td>X</td>\n",
       "      <td>N</td>\n",
       "      <td>S</td>\n",
       "      <td>G</td>\n",
       "      <td>W</td>\n",
       "      <td>Z</td>\n",
       "      <td>S</td>\n",
       "      <td>D</td>\n",
       "      <td>F</td>\n",
       "      <td>J</td>\n",
       "      <td>T</td>\n",
       "      <td>A</td>\n",
       "      <td>Z</td>\n",
       "      <td>U</td>\n",
       "      <td>W</td>\n",
       "      <td>S</td>\n",
       "      <td>I</td>\n",
       "      <td>V</td>\n",
       "      <td>I</td>\n",
       "      <td>C</td>\n",
       "      <td>I</td>\n",
       "      <td>Y</td>\n",
       "      <td>S</td>\n",
       "      <td>A</td>\n",
       "      <td>C</td>\n",
       "      <td>L</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>N</td>\n",
       "      <td>A</td>\n",
       "      <td>R</td>\n",
       "      <td>K</td>\n",
       "      <td>H</td>\n",
       "      <td>N</td>\n",
       "      <td>E</td>\n",
       "      <td>N</td>\n",
       "      <td>V</td>\n",
       "      <td>U</td>\n",
       "      <td>H</td>\n",
       "      <td>Q</td>\n",
       "      <td>A</td>\n",
       "      <td>J</td>\n",
       "      <td>N</td>\n",
       "      <td>Q</td>\n",
       "      <td>T</td>\n",
       "      <td>W</td>\n",
       "      <td>A</td>\n",
       "      <td>A</td>\n",
       "      <td>F</td>\n",
       "      <td>W</td>\n",
       "      <td>Q</td>\n",
       "      <td>K</td>\n",
       "      <td>G</td>\n",
       "      <td>L</td>\n",
       "      <td>L</td>\n",
       "      <td>M</td>\n",
       "      <td>K</td>\n",
       "      <td>O</td>\n",
       "      <td>V</td>\n",
       "      <td>R</td>\n",
       "      <td>J</td>\n",
       "      <td>J</td>\n",
       "      <td>N</td>\n",
       "      <td>I</td>\n",
       "      <td>F</td>\n",
       "      <td>I</td>\n",
       "      <td>L</td>\n",
       "      <td>J</td>\n",
       "      <td>S</td>\n",
       "      <td>L</td>\n",
       "      <td>J</td>\n",
       "      <td>J</td>\n",
       "      <td>X</td>\n",
       "      <td>R</td>\n",
       "      <td>C</td>\n",
       "      <td>C</td>\n",
       "      <td>F</td>\n",
       "      <td>B</td>\n",
       "      <td>I</td>\n",
       "      <td>S</td>\n",
       "      <td>R</td>\n",
       "      <td>Q</td>\n",
       "      <td>H</td>\n",
       "      <td>Y</td>\n",
       "      <td>T</td>\n",
       "      <td>B</td>\n",
       "      <td>F</td>\n",
       "      <td>T</td>\n",
       "      <td>O</td>\n",
       "      <td>W</td>\n",
       "      <td>A</td>\n",
       "      <td>O</td>\n",
       "      <td>D</td>\n",
       "      <td>M</td>\n",
       "      <td>G</td>\n",
       "      <td>I</td>\n",
       "      <td>I</td>\n",
       "      <td>P</td>\n",
       "      <td>C</td>\n",
       "      <td>W</td>\n",
       "      <td>M</td>\n",
       "      <td>R</td>\n",
       "      <td>F</td>\n",
       "      <td>V</td>\n",
       "      <td>Y</td>\n",
       "      <td>R</td>\n",
       "      <td>C</td>\n",
       "      <td>E</td>\n",
       "      <td>I</td>\n",
       "      <td>S</td>\n",
       "      <td>Z</td>\n",
       "      <td>Y</td>\n",
       "      <td>T</td>\n",
       "      <td>V</td>\n",
       "      <td>R</td>\n",
       "      <td>H</td>\n",
       "      <td>U</td>\n",
       "      <td>H</td>\n",
       "      <td>B</td>\n",
       "      <td>H</td>\n",
       "      <td>X</td>\n",
       "      <td>R</td>\n",
       "      <td>Z</td>\n",
       "      <td>B</td>\n",
       "      <td>K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>M</td>\n",
       "      <td>Z</td>\n",
       "      <td>Q</td>\n",
       "      <td>J</td>\n",
       "      <td>G</td>\n",
       "      <td>M</td>\n",
       "      <td>D</td>\n",
       "      <td>M</td>\n",
       "      <td>U</td>\n",
       "      <td>T</td>\n",
       "      <td>G</td>\n",
       "      <td>P</td>\n",
       "      <td>Z</td>\n",
       "      <td>I</td>\n",
       "      <td>M</td>\n",
       "      <td>P</td>\n",
       "      <td>S</td>\n",
       "      <td>V</td>\n",
       "      <td>Z</td>\n",
       "      <td>Z</td>\n",
       "      <td>E</td>\n",
       "      <td>V</td>\n",
       "      <td>P</td>\n",
       "      <td>J</td>\n",
       "      <td>F</td>\n",
       "      <td>K</td>\n",
       "      <td>K</td>\n",
       "      <td>L</td>\n",
       "      <td>J</td>\n",
       "      <td>N</td>\n",
       "      <td>U</td>\n",
       "      <td>Q</td>\n",
       "      <td>I</td>\n",
       "      <td>I</td>\n",
       "      <td>M</td>\n",
       "      <td>H</td>\n",
       "      <td>E</td>\n",
       "      <td>H</td>\n",
       "      <td>K</td>\n",
       "      <td>I</td>\n",
       "      <td>R</td>\n",
       "      <td>K</td>\n",
       "      <td>I</td>\n",
       "      <td>I</td>\n",
       "      <td>W</td>\n",
       "      <td>Q</td>\n",
       "      <td>B</td>\n",
       "      <td>B</td>\n",
       "      <td>E</td>\n",
       "      <td>A</td>\n",
       "      <td>H</td>\n",
       "      <td>R</td>\n",
       "      <td>Q</td>\n",
       "      <td>P</td>\n",
       "      <td>G</td>\n",
       "      <td>X</td>\n",
       "      <td>S</td>\n",
       "      <td>A</td>\n",
       "      <td>E</td>\n",
       "      <td>S</td>\n",
       "      <td>N</td>\n",
       "      <td>V</td>\n",
       "      <td>Z</td>\n",
       "      <td>N</td>\n",
       "      <td>C</td>\n",
       "      <td>L</td>\n",
       "      <td>F</td>\n",
       "      <td>H</td>\n",
       "      <td>H</td>\n",
       "      <td>O</td>\n",
       "      <td>B</td>\n",
       "      <td>V</td>\n",
       "      <td>L</td>\n",
       "      <td>Q</td>\n",
       "      <td>E</td>\n",
       "      <td>U</td>\n",
       "      <td>X</td>\n",
       "      <td>Q</td>\n",
       "      <td>B</td>\n",
       "      <td>D</td>\n",
       "      <td>H</td>\n",
       "      <td>R</td>\n",
       "      <td>Y</td>\n",
       "      <td>X</td>\n",
       "      <td>S</td>\n",
       "      <td>U</td>\n",
       "      <td>Q</td>\n",
       "      <td>G</td>\n",
       "      <td>T</td>\n",
       "      <td>G</td>\n",
       "      <td>A</td>\n",
       "      <td>G</td>\n",
       "      <td>W</td>\n",
       "      <td>Q</td>\n",
       "      <td>Y</td>\n",
       "      <td>A</td>\n",
       "      <td>J</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>L</td>\n",
       "      <td>Y</td>\n",
       "      <td>P</td>\n",
       "      <td>I</td>\n",
       "      <td>F</td>\n",
       "      <td>L</td>\n",
       "      <td>C</td>\n",
       "      <td>L</td>\n",
       "      <td>T</td>\n",
       "      <td>S</td>\n",
       "      <td>F</td>\n",
       "      <td>O</td>\n",
       "      <td>Y</td>\n",
       "      <td>H</td>\n",
       "      <td>L</td>\n",
       "      <td>O</td>\n",
       "      <td>R</td>\n",
       "      <td>U</td>\n",
       "      <td>Y</td>\n",
       "      <td>Y</td>\n",
       "      <td>D</td>\n",
       "      <td>U</td>\n",
       "      <td>O</td>\n",
       "      <td>I</td>\n",
       "      <td>E</td>\n",
       "      <td>J</td>\n",
       "      <td>J</td>\n",
       "      <td>K</td>\n",
       "      <td>I</td>\n",
       "      <td>M</td>\n",
       "      <td>T</td>\n",
       "      <td>P</td>\n",
       "      <td>H</td>\n",
       "      <td>H</td>\n",
       "      <td>L</td>\n",
       "      <td>G</td>\n",
       "      <td>D</td>\n",
       "      <td>G</td>\n",
       "      <td>J</td>\n",
       "      <td>H</td>\n",
       "      <td>Q</td>\n",
       "      <td>J</td>\n",
       "      <td>H</td>\n",
       "      <td>H</td>\n",
       "      <td>V</td>\n",
       "      <td>P</td>\n",
       "      <td>A</td>\n",
       "      <td>A</td>\n",
       "      <td>D</td>\n",
       "      <td>Z</td>\n",
       "      <td>G</td>\n",
       "      <td>Q</td>\n",
       "      <td>P</td>\n",
       "      <td>O</td>\n",
       "      <td>F</td>\n",
       "      <td>W</td>\n",
       "      <td>R</td>\n",
       "      <td>Z</td>\n",
       "      <td>D</td>\n",
       "      <td>R</td>\n",
       "      <td>M</td>\n",
       "      <td>U</td>\n",
       "      <td>Y</td>\n",
       "      <td>M</td>\n",
       "      <td>B</td>\n",
       "      <td>K</td>\n",
       "      <td>E</td>\n",
       "      <td>G</td>\n",
       "      <td>G</td>\n",
       "      <td>N</td>\n",
       "      <td>A</td>\n",
       "      <td>U</td>\n",
       "      <td>K</td>\n",
       "      <td>P</td>\n",
       "      <td>D</td>\n",
       "      <td>T</td>\n",
       "      <td>W</td>\n",
       "      <td>P</td>\n",
       "      <td>A</td>\n",
       "      <td>C</td>\n",
       "      <td>G</td>\n",
       "      <td>Q</td>\n",
       "      <td>X</td>\n",
       "      <td>W</td>\n",
       "      <td>R</td>\n",
       "      <td>T</td>\n",
       "      <td>P</td>\n",
       "      <td>F</td>\n",
       "      <td>S</td>\n",
       "      <td>F</td>\n",
       "      <td>Z</td>\n",
       "      <td>F</td>\n",
       "      <td>V</td>\n",
       "      <td>P</td>\n",
       "      <td>X</td>\n",
       "      <td>Z</td>\n",
       "      <td>I</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>K</td>\n",
       "      <td>X</td>\n",
       "      <td>O</td>\n",
       "      <td>H</td>\n",
       "      <td>E</td>\n",
       "      <td>K</td>\n",
       "      <td>B</td>\n",
       "      <td>K</td>\n",
       "      <td>S</td>\n",
       "      <td>R</td>\n",
       "      <td>E</td>\n",
       "      <td>N</td>\n",
       "      <td>X</td>\n",
       "      <td>G</td>\n",
       "      <td>K</td>\n",
       "      <td>N</td>\n",
       "      <td>Q</td>\n",
       "      <td>T</td>\n",
       "      <td>X</td>\n",
       "      <td>X</td>\n",
       "      <td>C</td>\n",
       "      <td>T</td>\n",
       "      <td>N</td>\n",
       "      <td>H</td>\n",
       "      <td>D</td>\n",
       "      <td>I</td>\n",
       "      <td>I</td>\n",
       "      <td>J</td>\n",
       "      <td>H</td>\n",
       "      <td>L</td>\n",
       "      <td>S</td>\n",
       "      <td>O</td>\n",
       "      <td>G</td>\n",
       "      <td>G</td>\n",
       "      <td>K</td>\n",
       "      <td>F</td>\n",
       "      <td>C</td>\n",
       "      <td>F</td>\n",
       "      <td>I</td>\n",
       "      <td>G</td>\n",
       "      <td>P</td>\n",
       "      <td>I</td>\n",
       "      <td>G</td>\n",
       "      <td>G</td>\n",
       "      <td>U</td>\n",
       "      <td>O</td>\n",
       "      <td>Z</td>\n",
       "      <td>Z</td>\n",
       "      <td>C</td>\n",
       "      <td>Y</td>\n",
       "      <td>F</td>\n",
       "      <td>P</td>\n",
       "      <td>O</td>\n",
       "      <td>N</td>\n",
       "      <td>E</td>\n",
       "      <td>V</td>\n",
       "      <td>Q</td>\n",
       "      <td>Y</td>\n",
       "      <td>C</td>\n",
       "      <td>Q</td>\n",
       "      <td>L</td>\n",
       "      <td>T</td>\n",
       "      <td>X</td>\n",
       "      <td>L</td>\n",
       "      <td>A</td>\n",
       "      <td>J</td>\n",
       "      <td>D</td>\n",
       "      <td>F</td>\n",
       "      <td>F</td>\n",
       "      <td>M</td>\n",
       "      <td>Z</td>\n",
       "      <td>T</td>\n",
       "      <td>J</td>\n",
       "      <td>O</td>\n",
       "      <td>C</td>\n",
       "      <td>S</td>\n",
       "      <td>V</td>\n",
       "      <td>O</td>\n",
       "      <td>Z</td>\n",
       "      <td>B</td>\n",
       "      <td>F</td>\n",
       "      <td>P</td>\n",
       "      <td>W</td>\n",
       "      <td>V</td>\n",
       "      <td>Q</td>\n",
       "      <td>S</td>\n",
       "      <td>O</td>\n",
       "      <td>E</td>\n",
       "      <td>R</td>\n",
       "      <td>E</td>\n",
       "      <td>Y</td>\n",
       "      <td>E</td>\n",
       "      <td>U</td>\n",
       "      <td>O</td>\n",
       "      <td>W</td>\n",
       "      <td>Y</td>\n",
       "      <td>H</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    0  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24  \\\n",
       "0   J  W  N  G  D  J  A  J  R  Q  D  M  W  F  J  M  P  S  W  W  B  S  M  G  C   \n",
       "1   I  V  M  F  C  I  Z  I  Q  P  C  L  V  E  I  L  O  R  V  V  A  R  L  F  B   \n",
       "2   H  U  L  E  B  H  Y  H  P  O  B  K  U  D  H  K  N  Q  U  U  Z  Q  K  E  A   \n",
       "3   G  T  K  D  A  G  X  G  O  N  A  J  T  C  G  J  M  P  T  T  Y  P  J  D  Z   \n",
       "4   F  S  J  C  Z  F  W  F  N  M  Z  I  S  B  F  I  L  O  S  S  X  O  I  C  Y   \n",
       "5   E  R  I  B  Y  E  V  E  M  L  Y  H  R  A  E  H  K  N  R  R  W  N  H  B  X   \n",
       "6   D  Q  H  A  X  D  U  D  L  K  X  G  Q  Z  D  G  J  M  Q  Q  V  M  G  A  W   \n",
       "7   C  P  G  Z  W  C  T  C  K  J  W  F  P  Y  C  F  I  L  P  P  U  L  F  Z  V   \n",
       "8   B  O  F  Y  V  B  S  B  J  I  V  E  O  X  B  E  H  K  O  O  T  K  E  Y  U   \n",
       "9   A  N  E  X  U  A  R  A  I  H  U  D  N  W  A  D  G  J  N  N  S  J  D  X  T   \n",
       "10  Z  M  D  W  T  Z  Q  Z  H  G  T  C  M  V  Z  C  F  I  M  M  R  I  C  W  S   \n",
       "11  Y  L  C  V  S  Y  P  Y  G  F  S  B  L  U  Y  B  E  H  L  L  Q  H  B  V  R   \n",
       "12  X  K  B  U  R  X  O  X  F  E  R  A  K  T  X  A  D  G  K  K  P  G  A  U  Q   \n",
       "13  W  J  A  T  Q  W  N  W  E  D  Q  Z  J  S  W  Z  C  F  J  J  O  F  Z  T  P   \n",
       "14  V  I  Z  S  P  V  M  V  D  C  P  Y  I  R  V  Y  B  E  I  I  N  E  Y  S  O   \n",
       "15  U  H  Y  R  O  U  L  U  C  B  O  X  H  Q  U  X  A  D  H  H  M  D  X  R  N   \n",
       "16  T  G  X  Q  N  T  K  T  B  A  N  W  G  P  T  W  Z  C  G  G  L  C  W  Q  M   \n",
       "17  S  F  W  P  M  S  J  S  A  Z  M  V  F  O  S  V  Y  B  F  F  K  B  V  P  L   \n",
       "18  R  E  V  O  L  R  I  R  Z  Y  L  U  E  N  R  U  X  A  E  E  J  A  U  O  K   \n",
       "19  Q  D  U  N  K  Q  H  Q  Y  X  K  T  D  M  Q  T  W  Z  D  D  I  Z  T  N  J   \n",
       "20  P  C  T  M  J  P  G  P  X  W  J  S  C  L  P  S  V  Y  C  C  H  Y  S  M  I   \n",
       "21  O  B  S  L  I  O  F  O  W  V  I  R  B  K  O  R  U  X  B  B  G  X  R  L  H   \n",
       "22  N  A  R  K  H  N  E  N  V  U  H  Q  A  J  N  Q  T  W  A  A  F  W  Q  K  G   \n",
       "23  M  Z  Q  J  G  M  D  M  U  T  G  P  Z  I  M  P  S  V  Z  Z  E  V  P  J  F   \n",
       "24  L  Y  P  I  F  L  C  L  T  S  F  O  Y  H  L  O  R  U  Y  Y  D  U  O  I  E   \n",
       "25  K  X  O  H  E  K  B  K  S  R  E  N  X  G  K  N  Q  T  X  X  C  T  N  H  D   \n",
       "\n",
       "   25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49  \\\n",
       "0   H  H  I  G  K  R  N  F  F  J  E  B  E  H  F  O  H  F  F  T  N  Y  Y  B  X   \n",
       "1   G  G  H  F  J  Q  M  E  E  I  D  A  D  G  E  N  G  E  E  S  M  X  X  A  W   \n",
       "2   F  F  G  E  I  P  L  D  D  H  C  Z  C  F  D  M  F  D  D  R  L  W  W  Z  V   \n",
       "3   E  E  F  D  H  O  K  C  C  G  B  Y  B  E  C  L  E  C  C  Q  K  V  V  Y  U   \n",
       "4   D  D  E  C  G  N  J  B  B  F  A  X  A  D  B  K  D  B  B  P  J  U  U  X  T   \n",
       "5   C  C  D  B  F  M  I  A  A  E  Z  W  Z  C  A  J  C  A  A  O  I  T  T  W  S   \n",
       "6   B  B  C  A  E  L  H  Z  Z  D  Y  V  Y  B  Z  I  B  Z  Z  N  H  S  S  V  R   \n",
       "7   A  A  B  Z  D  K  G  Y  Y  C  X  U  X  A  Y  H  A  Y  Y  M  G  R  R  U  Q   \n",
       "8   Z  Z  A  Y  C  J  F  X  X  B  W  T  W  Z  X  G  Z  X  X  L  F  Q  Q  T  P   \n",
       "9   Y  Y  Z  X  B  I  E  W  W  A  V  S  V  Y  W  F  Y  W  W  K  E  P  P  S  O   \n",
       "10  X  X  Y  W  A  H  D  V  V  Z  U  R  U  X  V  E  X  V  V  J  D  O  O  R  N   \n",
       "11  W  W  X  V  Z  G  C  U  U  Y  T  Q  T  W  U  D  W  U  U  I  C  N  N  Q  M   \n",
       "12  V  V  W  U  Y  F  B  T  T  X  S  P  S  V  T  C  V  T  T  H  B  M  M  P  L   \n",
       "13  U  U  V  T  X  E  A  S  S  W  R  O  R  U  S  B  U  S  S  G  A  L  L  O  K   \n",
       "14  T  T  U  S  W  D  Z  R  R  V  Q  N  Q  T  R  A  T  R  R  F  Z  K  K  N  J   \n",
       "15  S  S  T  R  V  C  Y  Q  Q  U  P  M  P  S  Q  Z  S  Q  Q  E  Y  J  J  M  I   \n",
       "16  R  R  S  Q  U  B  X  P  P  T  O  L  O  R  P  Y  R  P  P  D  X  I  I  L  H   \n",
       "17  Q  Q  R  P  T  A  W  O  O  S  N  K  N  Q  O  X  Q  O  O  C  W  H  H  K  G   \n",
       "18  P  P  Q  O  S  Z  V  N  N  R  M  J  M  P  N  W  P  N  N  B  V  G  G  J  F   \n",
       "19  O  O  P  N  R  Y  U  M  M  Q  L  I  L  O  M  V  O  M  M  A  U  F  F  I  E   \n",
       "20  N  N  O  M  Q  X  T  L  L  P  K  H  K  N  L  U  N  L  L  Z  T  E  E  H  D   \n",
       "21  M  M  N  L  P  W  S  K  K  O  J  G  J  M  K  T  M  K  K  Y  S  D  D  G  C   \n",
       "22  L  L  M  K  O  V  R  J  J  N  I  F  I  L  J  S  L  J  J  X  R  C  C  F  B   \n",
       "23  K  K  L  J  N  U  Q  I  I  M  H  E  H  K  I  R  K  I  I  W  Q  B  B  E  A   \n",
       "24  J  J  K  I  M  T  P  H  H  L  G  D  G  J  H  Q  J  H  H  V  P  A  A  D  Z   \n",
       "25  I  I  J  H  L  S  O  G  G  K  F  C  F  I  G  P  I  G  G  U  O  Z  Z  C  Y   \n",
       "\n",
       "   50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74  \\\n",
       "0   E  O  N  M  D  U  P  X  B  P  K  S  W  K  Z  I  C  E  E  L  Y  S  I  N  B   \n",
       "1   D  N  M  L  C  T  O  W  A  O  J  R  V  J  Y  H  B  D  D  K  X  R  H  M  A   \n",
       "2   C  M  L  K  B  S  N  V  Z  N  I  Q  U  I  X  G  A  C  C  J  W  Q  G  L  Z   \n",
       "3   B  L  K  J  A  R  M  U  Y  M  H  P  T  H  W  F  Z  B  B  I  V  P  F  K  Y   \n",
       "4   A  K  J  I  Z  Q  L  T  X  L  G  O  S  G  V  E  Y  A  A  H  U  O  E  J  X   \n",
       "5   Z  J  I  H  Y  P  K  S  W  K  F  N  R  F  U  D  X  Z  Z  G  T  N  D  I  W   \n",
       "6   Y  I  H  G  X  O  J  R  V  J  E  M  Q  E  T  C  W  Y  Y  F  S  M  C  H  V   \n",
       "7   X  H  G  F  W  N  I  Q  U  I  D  L  P  D  S  B  V  X  X  E  R  L  B  G  U   \n",
       "8   W  G  F  E  V  M  H  P  T  H  C  K  O  C  R  A  U  W  W  D  Q  K  A  F  T   \n",
       "9   V  F  E  D  U  L  G  O  S  G  B  J  N  B  Q  Z  T  V  V  C  P  J  Z  E  S   \n",
       "10  U  E  D  C  T  K  F  N  R  F  A  I  M  A  P  Y  S  U  U  B  O  I  Y  D  R   \n",
       "11  T  D  C  B  S  J  E  M  Q  E  Z  H  L  Z  O  X  R  T  T  A  N  H  X  C  Q   \n",
       "12  S  C  B  A  R  I  D  L  P  D  Y  G  K  Y  N  W  Q  S  S  Z  M  G  W  B  P   \n",
       "13  R  B  A  Z  Q  H  C  K  O  C  X  F  J  X  M  V  P  R  R  Y  L  F  V  A  O   \n",
       "14  Q  A  Z  Y  P  G  B  J  N  B  W  E  I  W  L  U  O  Q  Q  X  K  E  U  Z  N   \n",
       "15  P  Z  Y  X  O  F  A  I  M  A  V  D  H  V  K  T  N  P  P  W  J  D  T  Y  M   \n",
       "16  O  Y  X  W  N  E  Z  H  L  Z  U  C  G  U  J  S  M  O  O  V  I  C  S  X  L   \n",
       "17  N  X  W  V  M  D  Y  G  K  Y  T  B  F  T  I  R  L  N  N  U  H  B  R  W  K   \n",
       "18  M  W  V  U  L  C  X  F  J  X  S  A  E  S  H  Q  K  M  M  T  G  A  Q  V  J   \n",
       "19  L  V  U  T  K  B  W  E  I  W  R  Z  D  R  G  P  J  L  L  S  F  Z  P  U  I   \n",
       "20  K  U  T  S  J  A  V  D  H  V  Q  Y  C  Q  F  O  I  K  K  R  E  Y  O  T  H   \n",
       "21  J  T  S  R  I  Z  U  C  G  U  P  X  B  P  E  N  H  J  J  Q  D  X  N  S  G   \n",
       "22  I  S  R  Q  H  Y  T  B  F  T  O  W  A  O  D  M  G  I  I  P  C  W  M  R  F   \n",
       "23  H  R  Q  P  G  X  S  A  E  S  N  V  Z  N  C  L  F  H  H  O  B  V  L  Q  E   \n",
       "24  G  Q  P  O  F  W  R  Z  D  R  M  U  Y  M  B  K  E  G  G  N  A  U  K  P  D   \n",
       "25  F  P  O  N  E  V  Q  Y  C  Q  L  T  X  L  A  J  D  F  F  M  Z  T  J  O  C   \n",
       "\n",
       "   75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96  \n",
       "0   R  U  N  Y  A  E  O  V  U  P  R  N  D  Q  D  X  D  T  N  V  X  G  \n",
       "1   Q  T  M  X  Z  D  N  U  T  O  Q  M  C  P  C  W  C  S  M  U  W  F  \n",
       "2   P  S  L  W  Y  C  M  T  S  N  P  L  B  O  B  V  B  R  L  T  V  E  \n",
       "3   O  R  K  V  X  B  L  S  R  M  O  K  A  N  A  U  A  Q  K  S  U  D  \n",
       "4   N  Q  J  U  W  A  K  R  Q  L  N  J  Z  M  Z  T  Z  P  J  R  T  C  \n",
       "5   M  P  I  T  V  Z  J  Q  P  K  M  I  Y  L  Y  S  Y  O  I  Q  S  B  \n",
       "6   L  O  H  S  U  Y  I  P  O  J  L  H  X  K  X  R  X  N  H  P  R  A  \n",
       "7   K  N  G  R  T  X  H  O  N  I  K  G  W  J  W  Q  W  M  G  O  Q  Z  \n",
       "8   J  M  F  Q  S  W  G  N  M  H  J  F  V  I  V  P  V  L  F  N  P  Y  \n",
       "9   I  L  E  P  R  V  F  M  L  G  I  E  U  H  U  O  U  K  E  M  O  X  \n",
       "10  H  K  D  O  Q  U  E  L  K  F  H  D  T  G  T  N  T  J  D  L  N  W  \n",
       "11  G  J  C  N  P  T  D  K  J  E  G  C  S  F  S  M  S  I  C  K  M  V  \n",
       "12  F  I  B  M  O  S  C  J  I  D  F  B  R  E  R  L  R  H  B  J  L  U  \n",
       "13  E  H  A  L  N  R  B  I  H  C  E  A  Q  D  Q  K  Q  G  A  I  K  T  \n",
       "14  D  G  Z  K  M  Q  A  H  G  B  D  Z  P  C  P  J  P  F  Z  H  J  S  \n",
       "15  C  F  Y  J  L  P  Z  G  F  A  C  Y  O  B  O  I  O  E  Y  G  I  R  \n",
       "16  B  E  X  I  K  O  Y  F  E  Z  B  X  N  A  N  H  N  D  X  F  H  Q  \n",
       "17  A  D  W  H  J  N  X  E  D  Y  A  W  M  Z  M  G  M  C  W  E  G  P  \n",
       "18  Z  C  V  G  I  M  W  D  C  X  Z  V  L  Y  L  F  L  B  V  D  F  O  \n",
       "19  Y  B  U  F  H  L  V  C  B  W  Y  U  K  X  K  E  K  A  U  C  E  N  \n",
       "20  X  A  T  E  G  K  U  B  A  V  X  T  J  W  J  D  J  Z  T  B  D  M  \n",
       "21  W  Z  S  D  F  J  T  A  Z  U  W  S  I  V  I  C  I  Y  S  A  C  L  \n",
       "22  V  Y  R  C  E  I  S  Z  Y  T  V  R  H  U  H  B  H  X  R  Z  B  K  \n",
       "23  U  X  Q  B  D  H  R  Y  X  S  U  Q  G  T  G  A  G  W  Q  Y  A  J  \n",
       "24  T  W  P  A  C  G  Q  X  W  R  T  P  F  S  F  Z  F  V  P  X  Z  I  \n",
       "25  S  V  O  Z  B  F  P  W  V  Q  S  O  E  R  E  Y  E  U  O  W  Y  H  "
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "alphabet = apply_keyword('')\n",
    "translate_table_from = []\n",
    "\n",
    "translate_df = []\n",
    "for c in alphabet:\n",
    "    translate_df.append(\n",
    "        [ \n",
    "            distancefrom(ciphertext[i], c) for i in range(len(ciphertext))\n",
    "        ]\n",
    "    )\n",
    "    translate_table_from.append(\n",
    "        ''.join([ \n",
    "            distancefrom(ciphertext[i], c) for i in range(len(ciphertext))\n",
    "        ])\n",
    "    )\n",
    "translate_df = pd.DataFrame(translate_df)\n",
    "translate_df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we know there are repetitions of the letter `N` which map to positions 31 to 33, we can confirm at this position we get the `EAS` of the word `NORTHEAST`. However this is not the only interesting thing about this table.\n",
    "\n",
    "Looking in the wheel map above, we see the value `IIJHLSOGGLAJDFFMZTJO`\n",
    "\n",
    "Splitting this into the respective words NORTHEAST BERLIN CLOCK we get `IIJHLSOGG LAJDFF MZTJO`\n",
    "\n",
    "This is directly mapped against `Z` in the table above in the same positions. This tells us that there is `Z` mapping on every value in the wheel, creating pairs. We can prove this by taking the individual elements of the wheel table and applying `Z` to it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "QQPRNGKSSNYPVTTMZFPK = IIJHLSOGGLAJDFFMZTJO\n",
      "RRTPXLDNNXBTHLLZZNTD = HHFJBNVLLBXFRNNZZLFV\n",
      "QQPRNGKSSNYPVTTMZFPK = IIJHLSOGGLAJDFFMZTJO\n",
      "QQPRNGKSSNYPVTTMZFPK = IIJHLSOGGLAJDFFMZTJO\n",
      "RRTPXLDNNXBTHLLZZNTD = HHFJBNVLLBXFRNNZZLFV\n",
      "QQPRNGKSSNYPVTTMZFPK = IIJHLSOGGLAJDFFMZTJO\n"
     ]
    }
   ],
   "source": [
    "for spoke in spokes:\n",
    "    print('{} = {}'.format(\n",
    "        spoke,\n",
    "        ''.join([distancefrom(c, 'Z') for c in spoke])\n",
    "    ))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This shows that each wheel is formed from 3 pairs with each pair being formed from a character, and that characters distance from Z.\n",
    "\n",
    "If we look deeper into this, we can also determine that there is a secong position on the wheel which decipher to the same plaintext, this being the difference between `IIJHLSOGGLAJDFFMZTJO` and `EFHLVLLLMPDHHCHPLUSV` which forms a new character set `LKHFRUYGFXUHNQLWNKWO`, the reflection of which is also `NORTHEASTBERLINCLOCK`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reflection point: LKHFRUYGFXUHNQLWNKWO\n",
      "\n",
      "SUZFDQMEGRIZTLVSXJVG\n",
      "NORTHEASTBERLINCLOCK\n",
      "UTRNDNNNMJVRRWRJNEGD\n",
      "GEZTVIMUSHQZFNDGBPDS\n",
      "LKHFRUYGFXUHNQLWNKWO\n",
      "EFHLVLLLMPDHHCHPLUSV\n",
      "SUZFDQMEGRIZTLVSXJVG\n",
      "NORTHEASTBERLINCLOCK\n",
      "UTRNDNNNMJVRRWRJNEGD\n",
      "GEZTVIMUSHQZFNDGBPDS\n",
      "LKHFRUYGFXUHNQLWNKWO\n",
      "EFHLVLLLMPDHHCHPLUSV\n"
     ]
    }
   ],
   "source": [
    "c = 'IIJHLSOGGLAJDFFMZTJO'\n",
    "s = 'EFHLVLLLMPDHHCHPLUSV'\n",
    "\n",
    "# First, calculate the inflection point\n",
    "reflector = ''\n",
    "for j in range(len(c)):\n",
    "    reflector += distancefrom(c[j], s[j])\n",
    "\n",
    "print('Reflection point: {}\\n'.format(reflector))\n",
    "\n",
    "# Now set c as being the inflection and reset the inflector\n",
    "c = reflector\n",
    "for i in range(12):\n",
    "    z = ''\n",
    "    for j in range(len(c)):\n",
    "        z += distanceto(c[j], s[j])\n",
    "    print('{}'.format(z))\n",
    "    c = s\n",
    "    s = z"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This covers the differences between the wheel pairs `QQPRNGKSSNYPVTTMZFPK` and `UTRNDNNNMJVRRWRJNEGD` along with their associated reflections. The remaining wheel and it's associated reflection can be used to calculate the ciphertext."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Creating the wheels\n",
    "\n",
    "From this, we can now start to construct all the available wheels for the ciphertext.\n",
    "\n",
    "This is achieved by first creating an entire alphabet for each character of the ciphertext, then determining the inflection points.\n",
    "\n",
    "For example, taking the letter Q, we write this out as pairs as follows:\n",
    "\n",
    "```\n",
    "QA\n",
    "QB\n",
    "QC\n",
    "QD\n",
    "...\n",
    "```\n",
    "\n",
    "Then we calculate from this, the remaining spokes on each wheel."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['Q', 'A', 'J', 'I', 'Y', 'P']\n",
      "['Q', 'B', 'K', 'I', 'X', 'O']\n",
      "['Q', 'C', 'L', 'I', 'W', 'N']\n",
      "['Q', 'D', 'M', 'I', 'V', 'M']\n",
      "['Q', 'E', 'N', 'I', 'U', 'L']\n",
      "['Q', 'F', 'O', 'I', 'T', 'K']\n",
      "['Q', 'G', 'P', 'I', 'S', 'J']\n",
      "['Q', 'H', 'Q', 'I', 'R', 'I']\n",
      "['Q', 'I', 'R', 'I', 'Q', 'H']\n",
      "['Q', 'J', 'S', 'I', 'P', 'G']\n",
      "['Q', 'K', 'T', 'I', 'O', 'F']\n",
      "['Q', 'L', 'U', 'I', 'N', 'E']\n",
      "['Q', 'M', 'V', 'I', 'M', 'D']\n",
      "['Q', 'N', 'W', 'I', 'L', 'C']\n",
      "['Q', 'O', 'X', 'I', 'K', 'B']\n",
      "['Q', 'P', 'Y', 'I', 'J', 'A']\n",
      "['Q', 'Q', 'Z', 'I', 'I', 'Z']\n",
      "['Q', 'R', 'A', 'I', 'H', 'Y']\n",
      "['Q', 'S', 'B', 'I', 'G', 'X']\n",
      "['Q', 'T', 'C', 'I', 'F', 'W']\n",
      "['Q', 'U', 'D', 'I', 'E', 'V']\n",
      "['Q', 'V', 'E', 'I', 'D', 'U']\n",
      "['Q', 'W', 'F', 'I', 'C', 'T']\n",
      "['Q', 'X', 'G', 'I', 'B', 'S']\n",
      "['Q', 'Y', 'H', 'I', 'A', 'R']\n",
      "['Q', 'Z', 'I', 'I', 'Z', 'Q']\n",
      "\n",
      "['Q', 'A', 'J', 'I', 'Y', 'P']\n",
      "['Q', 'B', 'K', 'I', 'X', 'O']\n",
      "['Q', 'C', 'L', 'I', 'W', 'N']\n",
      "['Q', 'D', 'M', 'I', 'V', 'M']\n",
      "['Q', 'E', 'N', 'I', 'U', 'L']\n",
      "['Q', 'F', 'O', 'I', 'T', 'K']\n",
      "['Q', 'G', 'P', 'I', 'S', 'J']\n",
      "['Q', 'H', 'Q', 'I', 'R', 'I']\n",
      "['Q', 'I', 'R', 'I', 'Q', 'H']\n",
      "['Q', 'J', 'S', 'I', 'P', 'G']\n",
      "['Q', 'K', 'T', 'I', 'O', 'F']\n",
      "['Q', 'L', 'U', 'I', 'N', 'E']\n",
      "['Q', 'M', 'V', 'I', 'M', 'D']\n",
      "['Q', 'N', 'W', 'I', 'L', 'C']\n",
      "['Q', 'O', 'X', 'I', 'K', 'B']\n",
      "['Q', 'P', 'Y', 'I', 'J', 'A']\n",
      "['Q', 'Q', 'Z', 'I', 'I', 'Z']\n",
      "['Q', 'R', 'A', 'I', 'H', 'Y']\n",
      "['Q', 'S', 'B', 'I', 'G', 'X']\n",
      "['Q', 'T', 'C', 'I', 'F', 'W']\n",
      "['Q', 'U', 'D', 'I', 'E', 'V']\n",
      "['Q', 'V', 'E', 'I', 'D', 'U']\n",
      "['Q', 'W', 'F', 'I', 'C', 'T']\n",
      "['Q', 'X', 'G', 'I', 'B', 'S']\n",
      "['Q', 'Y', 'H', 'I', 'A', 'R']\n",
      "['Q', 'Z', 'I', 'I', 'Z', 'Q']\n",
      "\n",
      "['P', 'A', 'K', 'J', 'Y', 'O']\n",
      "['P', 'B', 'L', 'J', 'X', 'N']\n",
      "['P', 'C', 'M', 'J', 'W', 'M']\n",
      "['P', 'D', 'N', 'J', 'V', 'L']\n",
      "['P', 'E', 'O', 'J', 'U', 'K']\n",
      "['P', 'F', 'P', 'J', 'T', 'J']\n",
      "['P', 'G', 'Q', 'J', 'S', 'I']\n",
      "['P', 'H', 'R', 'J', 'R', 'H']\n",
      "['P', 'I', 'S', 'J', 'Q', 'G']\n",
      "['P', 'J', 'T', 'J', 'P', 'F']\n",
      "['P', 'K', 'U', 'J', 'O', 'E']\n",
      "['P', 'L', 'V', 'J', 'N', 'D']\n",
      "['P', 'M', 'W', 'J', 'M', 'C']\n",
      "['P', 'N', 'X', 'J', 'L', 'B']\n",
      "['P', 'O', 'Y', 'J', 'K', 'A']\n",
      "['P', 'P', 'Z', 'J', 'J', 'Z']\n",
      "['P', 'Q', 'A', 'J', 'I', 'Y']\n",
      "['P', 'R', 'B', 'J', 'H', 'X']\n",
      "['P', 'S', 'C', 'J', 'G', 'W']\n",
      "['P', 'T', 'D', 'J', 'F', 'V']\n",
      "['P', 'U', 'E', 'J', 'E', 'U']\n",
      "['P', 'V', 'F', 'J', 'D', 'T']\n",
      "['P', 'W', 'G', 'J', 'C', 'S']\n",
      "['P', 'X', 'H', 'J', 'B', 'R']\n",
      "['P', 'Y', 'I', 'J', 'A', 'Q']\n",
      "['P', 'Z', 'J', 'J', 'Z', 'P']\n",
      "\n",
      "['R', 'A', 'I', 'H', 'Y', 'Q']\n",
      "['R', 'B', 'J', 'H', 'X', 'P']\n",
      "['R', 'C', 'K', 'H', 'W', 'O']\n",
      "['R', 'D', 'L', 'H', 'V', 'N']\n",
      "['R', 'E', 'M', 'H', 'U', 'M']\n",
      "['R', 'F', 'N', 'H', 'T', 'L']\n",
      "['R', 'G', 'O', 'H', 'S', 'K']\n",
      "['R', 'H', 'P', 'H', 'R', 'J']\n",
      "['R', 'I', 'Q', 'H', 'Q', 'I']\n",
      "['R', 'J', 'R', 'H', 'P', 'H']\n",
      "['R', 'K', 'S', 'H', 'O', 'G']\n",
      "['R', 'L', 'T', 'H', 'N', 'F']\n",
      "['R', 'M', 'U', 'H', 'M', 'E']\n",
      "['R', 'N', 'V', 'H', 'L', 'D']\n",
      "['R', 'O', 'W', 'H', 'K', 'C']\n",
      "['R', 'P', 'X', 'H', 'J', 'B']\n",
      "['R', 'Q', 'Y', 'H', 'I', 'A']\n",
      "['R', 'R', 'Z', 'H', 'H', 'Z']\n",
      "['R', 'S', 'A', 'H', 'G', 'Y']\n",
      "['R', 'T', 'B', 'H', 'F', 'X']\n",
      "['R', 'U', 'C', 'H', 'E', 'W']\n",
      "['R', 'V', 'D', 'H', 'D', 'V']\n",
      "['R', 'W', 'E', 'H', 'C', 'U']\n",
      "['R', 'X', 'F', 'H', 'B', 'T']\n",
      "['R', 'Y', 'G', 'H', 'A', 'S']\n",
      "['R', 'Z', 'H', 'H', 'Z', 'R']\n",
      "\n",
      "['N', 'A', 'M', 'L', 'Y', 'M']\n",
      "['N', 'B', 'N', 'L', 'X', 'L']\n",
      "['N', 'C', 'O', 'L', 'W', 'K']\n",
      "['N', 'D', 'P', 'L', 'V', 'J']\n",
      "['N', 'E', 'Q', 'L', 'U', 'I']\n",
      "['N', 'F', 'R', 'L', 'T', 'H']\n",
      "['N', 'G', 'S', 'L', 'S', 'G']\n",
      "['N', 'H', 'T', 'L', 'R', 'F']\n",
      "['N', 'I', 'U', 'L', 'Q', 'E']\n",
      "['N', 'J', 'V', 'L', 'P', 'D']\n",
      "['N', 'K', 'W', 'L', 'O', 'C']\n",
      "['N', 'L', 'X', 'L', 'N', 'B']\n",
      "['N', 'M', 'Y', 'L', 'M', 'A']\n",
      "['N', 'N', 'Z', 'L', 'L', 'Z']\n",
      "['N', 'O', 'A', 'L', 'K', 'Y']\n",
      "['N', 'P', 'B', 'L', 'J', 'X']\n",
      "['N', 'Q', 'C', 'L', 'I', 'W']\n",
      "['N', 'R', 'D', 'L', 'H', 'V']\n",
      "['N', 'S', 'E', 'L', 'G', 'U']\n",
      "['N', 'T', 'F', 'L', 'F', 'T']\n",
      "['N', 'U', 'G', 'L', 'E', 'S']\n",
      "['N', 'V', 'H', 'L', 'D', 'R']\n",
      "['N', 'W', 'I', 'L', 'C', 'Q']\n",
      "['N', 'X', 'J', 'L', 'B', 'P']\n",
      "['N', 'Y', 'K', 'L', 'A', 'O']\n",
      "['N', 'Z', 'L', 'L', 'Z', 'N']\n",
      "\n",
      "['G', 'A', 'T', 'S', 'Y', 'F']\n",
      "['G', 'B', 'U', 'S', 'X', 'E']\n",
      "['G', 'C', 'V', 'S', 'W', 'D']\n",
      "['G', 'D', 'W', 'S', 'V', 'C']\n",
      "['G', 'E', 'X', 'S', 'U', 'B']\n",
      "['G', 'F', 'Y', 'S', 'T', 'A']\n",
      "['G', 'G', 'Z', 'S', 'S', 'Z']\n",
      "['G', 'H', 'A', 'S', 'R', 'Y']\n",
      "['G', 'I', 'B', 'S', 'Q', 'X']\n",
      "['G', 'J', 'C', 'S', 'P', 'W']\n",
      "['G', 'K', 'D', 'S', 'O', 'V']\n",
      "['G', 'L', 'E', 'S', 'N', 'U']\n",
      "['G', 'M', 'F', 'S', 'M', 'T']\n",
      "['G', 'N', 'G', 'S', 'L', 'S']\n",
      "['G', 'O', 'H', 'S', 'K', 'R']\n",
      "['G', 'P', 'I', 'S', 'J', 'Q']\n",
      "['G', 'Q', 'J', 'S', 'I', 'P']\n",
      "['G', 'R', 'K', 'S', 'H', 'O']\n",
      "['G', 'S', 'L', 'S', 'G', 'N']\n",
      "['G', 'T', 'M', 'S', 'F', 'M']\n",
      "['G', 'U', 'N', 'S', 'E', 'L']\n",
      "['G', 'V', 'O', 'S', 'D', 'K']\n",
      "['G', 'W', 'P', 'S', 'C', 'J']\n",
      "['G', 'X', 'Q', 'S', 'B', 'I']\n",
      "['G', 'Y', 'R', 'S', 'A', 'H']\n",
      "['G', 'Z', 'S', 'S', 'Z', 'G']\n",
      "\n",
      "['K', 'A', 'P', 'O', 'Y', 'J']\n",
      "['K', 'B', 'Q', 'O', 'X', 'I']\n",
      "['K', 'C', 'R', 'O', 'W', 'H']\n",
      "['K', 'D', 'S', 'O', 'V', 'G']\n",
      "['K', 'E', 'T', 'O', 'U', 'F']\n",
      "['K', 'F', 'U', 'O', 'T', 'E']\n",
      "['K', 'G', 'V', 'O', 'S', 'D']\n",
      "['K', 'H', 'W', 'O', 'R', 'C']\n",
      "['K', 'I', 'X', 'O', 'Q', 'B']\n",
      "['K', 'J', 'Y', 'O', 'P', 'A']\n",
      "['K', 'K', 'Z', 'O', 'O', 'Z']\n",
      "['K', 'L', 'A', 'O', 'N', 'Y']\n",
      "['K', 'M', 'B', 'O', 'M', 'X']\n",
      "['K', 'N', 'C', 'O', 'L', 'W']\n",
      "['K', 'O', 'D', 'O', 'K', 'V']\n",
      "['K', 'P', 'E', 'O', 'J', 'U']\n",
      "['K', 'Q', 'F', 'O', 'I', 'T']\n",
      "['K', 'R', 'G', 'O', 'H', 'S']\n",
      "['K', 'S', 'H', 'O', 'G', 'R']\n",
      "['K', 'T', 'I', 'O', 'F', 'Q']\n",
      "['K', 'U', 'J', 'O', 'E', 'P']\n",
      "['K', 'V', 'K', 'O', 'D', 'O']\n",
      "['K', 'W', 'L', 'O', 'C', 'N']\n",
      "['K', 'X', 'M', 'O', 'B', 'M']\n",
      "['K', 'Y', 'N', 'O', 'A', 'L']\n",
      "['K', 'Z', 'O', 'O', 'Z', 'K']\n",
      "\n",
      "['S', 'A', 'H', 'G', 'Y', 'R']\n",
      "['S', 'B', 'I', 'G', 'X', 'Q']\n",
      "['S', 'C', 'J', 'G', 'W', 'P']\n",
      "['S', 'D', 'K', 'G', 'V', 'O']\n",
      "['S', 'E', 'L', 'G', 'U', 'N']\n",
      "['S', 'F', 'M', 'G', 'T', 'M']\n",
      "['S', 'G', 'N', 'G', 'S', 'L']\n",
      "['S', 'H', 'O', 'G', 'R', 'K']\n",
      "['S', 'I', 'P', 'G', 'Q', 'J']\n",
      "['S', 'J', 'Q', 'G', 'P', 'I']\n",
      "['S', 'K', 'R', 'G', 'O', 'H']\n",
      "['S', 'L', 'S', 'G', 'N', 'G']\n",
      "['S', 'M', 'T', 'G', 'M', 'F']\n",
      "['S', 'N', 'U', 'G', 'L', 'E']\n",
      "['S', 'O', 'V', 'G', 'K', 'D']\n",
      "['S', 'P', 'W', 'G', 'J', 'C']\n",
      "['S', 'Q', 'X', 'G', 'I', 'B']\n",
      "['S', 'R', 'Y', 'G', 'H', 'A']\n",
      "['S', 'S', 'Z', 'G', 'G', 'Z']\n",
      "['S', 'T', 'A', 'G', 'F', 'Y']\n",
      "['S', 'U', 'B', 'G', 'E', 'X']\n",
      "['S', 'V', 'C', 'G', 'D', 'W']\n",
      "['S', 'W', 'D', 'G', 'C', 'V']\n",
      "['S', 'X', 'E', 'G', 'B', 'U']\n",
      "['S', 'Y', 'F', 'G', 'A', 'T']\n",
      "['S', 'Z', 'G', 'G', 'Z', 'S']\n",
      "\n",
      "['N', 'A', 'M', 'L', 'Y', 'M']\n",
      "['N', 'B', 'N', 'L', 'X', 'L']\n",
      "['N', 'C', 'O', 'L', 'W', 'K']\n",
      "['N', 'D', 'P', 'L', 'V', 'J']\n",
      "['N', 'E', 'Q', 'L', 'U', 'I']\n",
      "['N', 'F', 'R', 'L', 'T', 'H']\n",
      "['N', 'G', 'S', 'L', 'S', 'G']\n",
      "['N', 'H', 'T', 'L', 'R', 'F']\n",
      "['N', 'I', 'U', 'L', 'Q', 'E']\n",
      "['N', 'J', 'V', 'L', 'P', 'D']\n",
      "['N', 'K', 'W', 'L', 'O', 'C']\n",
      "['N', 'L', 'X', 'L', 'N', 'B']\n",
      "['N', 'M', 'Y', 'L', 'M', 'A']\n",
      "['N', 'N', 'Z', 'L', 'L', 'Z']\n",
      "['N', 'O', 'A', 'L', 'K', 'Y']\n",
      "['N', 'P', 'B', 'L', 'J', 'X']\n",
      "['N', 'Q', 'C', 'L', 'I', 'W']\n",
      "['N', 'R', 'D', 'L', 'H', 'V']\n",
      "['N', 'S', 'E', 'L', 'G', 'U']\n",
      "['N', 'T', 'F', 'L', 'F', 'T']\n",
      "['N', 'U', 'G', 'L', 'E', 'S']\n",
      "['N', 'V', 'H', 'L', 'D', 'R']\n",
      "['N', 'W', 'I', 'L', 'C', 'Q']\n",
      "['N', 'X', 'J', 'L', 'B', 'P']\n",
      "['N', 'Y', 'K', 'L', 'A', 'O']\n",
      "['N', 'Z', 'L', 'L', 'Z', 'N']\n",
      "\n",
      "['Y', 'A', 'B', 'A', 'Y', 'X']\n",
      "['Y', 'B', 'C', 'A', 'X', 'W']\n",
      "['Y', 'C', 'D', 'A', 'W', 'V']\n",
      "['Y', 'D', 'E', 'A', 'V', 'U']\n",
      "['Y', 'E', 'F', 'A', 'U', 'T']\n",
      "['Y', 'F', 'G', 'A', 'T', 'S']\n",
      "['Y', 'G', 'H', 'A', 'S', 'R']\n",
      "['Y', 'H', 'I', 'A', 'R', 'Q']\n",
      "['Y', 'I', 'J', 'A', 'Q', 'P']\n",
      "['Y', 'J', 'K', 'A', 'P', 'O']\n",
      "['Y', 'K', 'L', 'A', 'O', 'N']\n",
      "['Y', 'L', 'M', 'A', 'N', 'M']\n",
      "['Y', 'M', 'N', 'A', 'M', 'L']\n",
      "['Y', 'N', 'O', 'A', 'L', 'K']\n",
      "['Y', 'O', 'P', 'A', 'K', 'J']\n",
      "['Y', 'P', 'Q', 'A', 'J', 'I']\n",
      "['Y', 'Q', 'R', 'A', 'I', 'H']\n",
      "['Y', 'R', 'S', 'A', 'H', 'G']\n",
      "['Y', 'S', 'T', 'A', 'G', 'F']\n",
      "['Y', 'T', 'U', 'A', 'F', 'E']\n",
      "['Y', 'U', 'V', 'A', 'E', 'D']\n",
      "['Y', 'V', 'W', 'A', 'D', 'C']\n",
      "['Y', 'W', 'X', 'A', 'C', 'B']\n",
      "['Y', 'X', 'Y', 'A', 'B', 'A']\n",
      "['Y', 'Y', 'Z', 'A', 'A', 'Z']\n",
      "['Y', 'Z', 'A', 'A', 'Z', 'Y']\n",
      "\n",
      "['P', 'A', 'K', 'J', 'Y', 'O']\n",
      "['P', 'B', 'L', 'J', 'X', 'N']\n",
      "['P', 'C', 'M', 'J', 'W', 'M']\n",
      "['P', 'D', 'N', 'J', 'V', 'L']\n",
      "['P', 'E', 'O', 'J', 'U', 'K']\n",
      "['P', 'F', 'P', 'J', 'T', 'J']\n",
      "['P', 'G', 'Q', 'J', 'S', 'I']\n",
      "['P', 'H', 'R', 'J', 'R', 'H']\n",
      "['P', 'I', 'S', 'J', 'Q', 'G']\n",
      "['P', 'J', 'T', 'J', 'P', 'F']\n",
      "['P', 'K', 'U', 'J', 'O', 'E']\n",
      "['P', 'L', 'V', 'J', 'N', 'D']\n",
      "['P', 'M', 'W', 'J', 'M', 'C']\n",
      "['P', 'N', 'X', 'J', 'L', 'B']\n",
      "['P', 'O', 'Y', 'J', 'K', 'A']\n",
      "['P', 'P', 'Z', 'J', 'J', 'Z']\n",
      "['P', 'Q', 'A', 'J', 'I', 'Y']\n",
      "['P', 'R', 'B', 'J', 'H', 'X']\n",
      "['P', 'S', 'C', 'J', 'G', 'W']\n",
      "['P', 'T', 'D', 'J', 'F', 'V']\n",
      "['P', 'U', 'E', 'J', 'E', 'U']\n",
      "['P', 'V', 'F', 'J', 'D', 'T']\n",
      "['P', 'W', 'G', 'J', 'C', 'S']\n",
      "['P', 'X', 'H', 'J', 'B', 'R']\n",
      "['P', 'Y', 'I', 'J', 'A', 'Q']\n",
      "['P', 'Z', 'J', 'J', 'Z', 'P']\n",
      "\n",
      "['V', 'A', 'E', 'D', 'Y', 'U']\n",
      "['V', 'B', 'F', 'D', 'X', 'T']\n",
      "['V', 'C', 'G', 'D', 'W', 'S']\n",
      "['V', 'D', 'H', 'D', 'V', 'R']\n",
      "['V', 'E', 'I', 'D', 'U', 'Q']\n",
      "['V', 'F', 'J', 'D', 'T', 'P']\n",
      "['V', 'G', 'K', 'D', 'S', 'O']\n",
      "['V', 'H', 'L', 'D', 'R', 'N']\n",
      "['V', 'I', 'M', 'D', 'Q', 'M']\n",
      "['V', 'J', 'N', 'D', 'P', 'L']\n",
      "['V', 'K', 'O', 'D', 'O', 'K']\n",
      "['V', 'L', 'P', 'D', 'N', 'J']\n",
      "['V', 'M', 'Q', 'D', 'M', 'I']\n",
      "['V', 'N', 'R', 'D', 'L', 'H']\n",
      "['V', 'O', 'S', 'D', 'K', 'G']\n",
      "['V', 'P', 'T', 'D', 'J', 'F']\n",
      "['V', 'Q', 'U', 'D', 'I', 'E']\n",
      "['V', 'R', 'V', 'D', 'H', 'D']\n",
      "['V', 'S', 'W', 'D', 'G', 'C']\n",
      "['V', 'T', 'X', 'D', 'F', 'B']\n",
      "['V', 'U', 'Y', 'D', 'E', 'A']\n",
      "['V', 'V', 'Z', 'D', 'D', 'Z']\n",
      "['V', 'W', 'A', 'D', 'C', 'Y']\n",
      "['V', 'X', 'B', 'D', 'B', 'X']\n",
      "['V', 'Y', 'C', 'D', 'A', 'W']\n",
      "['V', 'Z', 'D', 'D', 'Z', 'V']\n",
      "\n",
      "['T', 'A', 'G', 'F', 'Y', 'S']\n",
      "['T', 'B', 'H', 'F', 'X', 'R']\n",
      "['T', 'C', 'I', 'F', 'W', 'Q']\n",
      "['T', 'D', 'J', 'F', 'V', 'P']\n",
      "['T', 'E', 'K', 'F', 'U', 'O']\n",
      "['T', 'F', 'L', 'F', 'T', 'N']\n",
      "['T', 'G', 'M', 'F', 'S', 'M']\n",
      "['T', 'H', 'N', 'F', 'R', 'L']\n",
      "['T', 'I', 'O', 'F', 'Q', 'K']\n",
      "['T', 'J', 'P', 'F', 'P', 'J']\n",
      "['T', 'K', 'Q', 'F', 'O', 'I']\n",
      "['T', 'L', 'R', 'F', 'N', 'H']\n",
      "['T', 'M', 'S', 'F', 'M', 'G']\n",
      "['T', 'N', 'T', 'F', 'L', 'F']\n",
      "['T', 'O', 'U', 'F', 'K', 'E']\n",
      "['T', 'P', 'V', 'F', 'J', 'D']\n",
      "['T', 'Q', 'W', 'F', 'I', 'C']\n",
      "['T', 'R', 'X', 'F', 'H', 'B']\n",
      "['T', 'S', 'Y', 'F', 'G', 'A']\n",
      "['T', 'T', 'Z', 'F', 'F', 'Z']\n",
      "['T', 'U', 'A', 'F', 'E', 'Y']\n",
      "['T', 'V', 'B', 'F', 'D', 'X']\n",
      "['T', 'W', 'C', 'F', 'C', 'W']\n",
      "['T', 'X', 'D', 'F', 'B', 'V']\n",
      "['T', 'Y', 'E', 'F', 'A', 'U']\n",
      "['T', 'Z', 'F', 'F', 'Z', 'T']\n",
      "\n",
      "['T', 'A', 'G', 'F', 'Y', 'S']\n",
      "['T', 'B', 'H', 'F', 'X', 'R']\n",
      "['T', 'C', 'I', 'F', 'W', 'Q']\n",
      "['T', 'D', 'J', 'F', 'V', 'P']\n",
      "['T', 'E', 'K', 'F', 'U', 'O']\n",
      "['T', 'F', 'L', 'F', 'T', 'N']\n",
      "['T', 'G', 'M', 'F', 'S', 'M']\n",
      "['T', 'H', 'N', 'F', 'R', 'L']\n",
      "['T', 'I', 'O', 'F', 'Q', 'K']\n",
      "['T', 'J', 'P', 'F', 'P', 'J']\n",
      "['T', 'K', 'Q', 'F', 'O', 'I']\n",
      "['T', 'L', 'R', 'F', 'N', 'H']\n",
      "['T', 'M', 'S', 'F', 'M', 'G']\n",
      "['T', 'N', 'T', 'F', 'L', 'F']\n",
      "['T', 'O', 'U', 'F', 'K', 'E']\n",
      "['T', 'P', 'V', 'F', 'J', 'D']\n",
      "['T', 'Q', 'W', 'F', 'I', 'C']\n",
      "['T', 'R', 'X', 'F', 'H', 'B']\n",
      "['T', 'S', 'Y', 'F', 'G', 'A']\n",
      "['T', 'T', 'Z', 'F', 'F', 'Z']\n",
      "['T', 'U', 'A', 'F', 'E', 'Y']\n",
      "['T', 'V', 'B', 'F', 'D', 'X']\n",
      "['T', 'W', 'C', 'F', 'C', 'W']\n",
      "['T', 'X', 'D', 'F', 'B', 'V']\n",
      "['T', 'Y', 'E', 'F', 'A', 'U']\n",
      "['T', 'Z', 'F', 'F', 'Z', 'T']\n",
      "\n",
      "['M', 'A', 'N', 'M', 'Y', 'L']\n",
      "['M', 'B', 'O', 'M', 'X', 'K']\n",
      "['M', 'C', 'P', 'M', 'W', 'J']\n",
      "['M', 'D', 'Q', 'M', 'V', 'I']\n",
      "['M', 'E', 'R', 'M', 'U', 'H']\n",
      "['M', 'F', 'S', 'M', 'T', 'G']\n",
      "['M', 'G', 'T', 'M', 'S', 'F']\n",
      "['M', 'H', 'U', 'M', 'R', 'E']\n",
      "['M', 'I', 'V', 'M', 'Q', 'D']\n",
      "['M', 'J', 'W', 'M', 'P', 'C']\n",
      "['M', 'K', 'X', 'M', 'O', 'B']\n",
      "['M', 'L', 'Y', 'M', 'N', 'A']\n",
      "['M', 'M', 'Z', 'M', 'M', 'Z']\n",
      "['M', 'N', 'A', 'M', 'L', 'Y']\n",
      "['M', 'O', 'B', 'M', 'K', 'X']\n",
      "['M', 'P', 'C', 'M', 'J', 'W']\n",
      "['M', 'Q', 'D', 'M', 'I', 'V']\n",
      "['M', 'R', 'E', 'M', 'H', 'U']\n",
      "['M', 'S', 'F', 'M', 'G', 'T']\n",
      "['M', 'T', 'G', 'M', 'F', 'S']\n",
      "['M', 'U', 'H', 'M', 'E', 'R']\n",
      "['M', 'V', 'I', 'M', 'D', 'Q']\n",
      "['M', 'W', 'J', 'M', 'C', 'P']\n",
      "['M', 'X', 'K', 'M', 'B', 'O']\n",
      "['M', 'Y', 'L', 'M', 'A', 'N']\n",
      "['M', 'Z', 'M', 'M', 'Z', 'M']\n",
      "\n",
      "['Z', 'A', 'A', 'Z', 'Y', 'Y']\n",
      "['Z', 'B', 'B', 'Z', 'X', 'X']\n",
      "['Z', 'C', 'C', 'Z', 'W', 'W']\n",
      "['Z', 'D', 'D', 'Z', 'V', 'V']\n",
      "['Z', 'E', 'E', 'Z', 'U', 'U']\n",
      "['Z', 'F', 'F', 'Z', 'T', 'T']\n",
      "['Z', 'G', 'G', 'Z', 'S', 'S']\n",
      "['Z', 'H', 'H', 'Z', 'R', 'R']\n",
      "['Z', 'I', 'I', 'Z', 'Q', 'Q']\n",
      "['Z', 'J', 'J', 'Z', 'P', 'P']\n",
      "['Z', 'K', 'K', 'Z', 'O', 'O']\n",
      "['Z', 'L', 'L', 'Z', 'N', 'N']\n",
      "['Z', 'M', 'M', 'Z', 'M', 'M']\n",
      "['Z', 'N', 'N', 'Z', 'L', 'L']\n",
      "['Z', 'O', 'O', 'Z', 'K', 'K']\n",
      "['Z', 'P', 'P', 'Z', 'J', 'J']\n",
      "['Z', 'Q', 'Q', 'Z', 'I', 'I']\n",
      "['Z', 'R', 'R', 'Z', 'H', 'H']\n",
      "['Z', 'S', 'S', 'Z', 'G', 'G']\n",
      "['Z', 'T', 'T', 'Z', 'F', 'F']\n",
      "['Z', 'U', 'U', 'Z', 'E', 'E']\n",
      "['Z', 'V', 'V', 'Z', 'D', 'D']\n",
      "['Z', 'W', 'W', 'Z', 'C', 'C']\n",
      "['Z', 'X', 'X', 'Z', 'B', 'B']\n",
      "['Z', 'Y', 'Y', 'Z', 'A', 'A']\n",
      "['Z', 'Z', 'Z', 'Z', 'Z', 'Z']\n",
      "\n",
      "['F', 'A', 'U', 'T', 'Y', 'E']\n",
      "['F', 'B', 'V', 'T', 'X', 'D']\n",
      "['F', 'C', 'W', 'T', 'W', 'C']\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['F', 'D', 'X', 'T', 'V', 'B']\n",
      "['F', 'E', 'Y', 'T', 'U', 'A']\n",
      "['F', 'F', 'Z', 'T', 'T', 'Z']\n",
      "['F', 'G', 'A', 'T', 'S', 'Y']\n",
      "['F', 'H', 'B', 'T', 'R', 'X']\n",
      "['F', 'I', 'C', 'T', 'Q', 'W']\n",
      "['F', 'J', 'D', 'T', 'P', 'V']\n",
      "['F', 'K', 'E', 'T', 'O', 'U']\n",
      "['F', 'L', 'F', 'T', 'N', 'T']\n",
      "['F', 'M', 'G', 'T', 'M', 'S']\n",
      "['F', 'N', 'H', 'T', 'L', 'R']\n",
      "['F', 'O', 'I', 'T', 'K', 'Q']\n",
      "['F', 'P', 'J', 'T', 'J', 'P']\n",
      "['F', 'Q', 'K', 'T', 'I', 'O']\n",
      "['F', 'R', 'L', 'T', 'H', 'N']\n",
      "['F', 'S', 'M', 'T', 'G', 'M']\n",
      "['F', 'T', 'N', 'T', 'F', 'L']\n",
      "['F', 'U', 'O', 'T', 'E', 'K']\n",
      "['F', 'V', 'P', 'T', 'D', 'J']\n",
      "['F', 'W', 'Q', 'T', 'C', 'I']\n",
      "['F', 'X', 'R', 'T', 'B', 'H']\n",
      "['F', 'Y', 'S', 'T', 'A', 'G']\n",
      "['F', 'Z', 'T', 'T', 'Z', 'F']\n",
      "\n",
      "['P', 'A', 'K', 'J', 'Y', 'O']\n",
      "['P', 'B', 'L', 'J', 'X', 'N']\n",
      "['P', 'C', 'M', 'J', 'W', 'M']\n",
      "['P', 'D', 'N', 'J', 'V', 'L']\n",
      "['P', 'E', 'O', 'J', 'U', 'K']\n",
      "['P', 'F', 'P', 'J', 'T', 'J']\n",
      "['P', 'G', 'Q', 'J', 'S', 'I']\n",
      "['P', 'H', 'R', 'J', 'R', 'H']\n",
      "['P', 'I', 'S', 'J', 'Q', 'G']\n",
      "['P', 'J', 'T', 'J', 'P', 'F']\n",
      "['P', 'K', 'U', 'J', 'O', 'E']\n",
      "['P', 'L', 'V', 'J', 'N', 'D']\n",
      "['P', 'M', 'W', 'J', 'M', 'C']\n",
      "['P', 'N', 'X', 'J', 'L', 'B']\n",
      "['P', 'O', 'Y', 'J', 'K', 'A']\n",
      "['P', 'P', 'Z', 'J', 'J', 'Z']\n",
      "['P', 'Q', 'A', 'J', 'I', 'Y']\n",
      "['P', 'R', 'B', 'J', 'H', 'X']\n",
      "['P', 'S', 'C', 'J', 'G', 'W']\n",
      "['P', 'T', 'D', 'J', 'F', 'V']\n",
      "['P', 'U', 'E', 'J', 'E', 'U']\n",
      "['P', 'V', 'F', 'J', 'D', 'T']\n",
      "['P', 'W', 'G', 'J', 'C', 'S']\n",
      "['P', 'X', 'H', 'J', 'B', 'R']\n",
      "['P', 'Y', 'I', 'J', 'A', 'Q']\n",
      "['P', 'Z', 'J', 'J', 'Z', 'P']\n",
      "\n",
      "['K', 'A', 'P', 'O', 'Y', 'J']\n",
      "['K', 'B', 'Q', 'O', 'X', 'I']\n",
      "['K', 'C', 'R', 'O', 'W', 'H']\n",
      "['K', 'D', 'S', 'O', 'V', 'G']\n",
      "['K', 'E', 'T', 'O', 'U', 'F']\n",
      "['K', 'F', 'U', 'O', 'T', 'E']\n",
      "['K', 'G', 'V', 'O', 'S', 'D']\n",
      "['K', 'H', 'W', 'O', 'R', 'C']\n",
      "['K', 'I', 'X', 'O', 'Q', 'B']\n",
      "['K', 'J', 'Y', 'O', 'P', 'A']\n",
      "['K', 'K', 'Z', 'O', 'O', 'Z']\n",
      "['K', 'L', 'A', 'O', 'N', 'Y']\n",
      "['K', 'M', 'B', 'O', 'M', 'X']\n",
      "['K', 'N', 'C', 'O', 'L', 'W']\n",
      "['K', 'O', 'D', 'O', 'K', 'V']\n",
      "['K', 'P', 'E', 'O', 'J', 'U']\n",
      "['K', 'Q', 'F', 'O', 'I', 'T']\n",
      "['K', 'R', 'G', 'O', 'H', 'S']\n",
      "['K', 'S', 'H', 'O', 'G', 'R']\n",
      "['K', 'T', 'I', 'O', 'F', 'Q']\n",
      "['K', 'U', 'J', 'O', 'E', 'P']\n",
      "['K', 'V', 'K', 'O', 'D', 'O']\n",
      "['K', 'W', 'L', 'O', 'C', 'N']\n",
      "['K', 'X', 'M', 'O', 'B', 'M']\n",
      "['K', 'Y', 'N', 'O', 'A', 'L']\n",
      "['K', 'Z', 'O', 'O', 'Z', 'K']\n",
      "\n"
     ]
    }
   ],
   "source": [
    "from itertools import product\n",
    "from copy import deepcopy\n",
    "\n",
    "class Wheel(object):\n",
    "    _character = ''\n",
    "    _spokes    = None\n",
    "    _shift     = 1\n",
    "    \n",
    "    def __init__(self, character, spoke):\n",
    "        self._spokes = []\n",
    "        self._character = character\n",
    "        self._spokes.append(character)\n",
    "        self._spokes.append(spoke)\n",
    "        \n",
    "        self._spokes.append(\n",
    "            distanceto(character, spoke)\n",
    "        )\n",
    "        self._spokes.append(\n",
    "            distancefrom(character, 'Z')\n",
    "        )\n",
    "        self._spokes.append(\n",
    "            distanceto(spoke, 'Z')\n",
    "        )\n",
    "        self._spokes.append(\n",
    "            distancefrom(self.spokes[2], 'Z')\n",
    "        )\n",
    "    \n",
    "    @property\n",
    "    def character(self):\n",
    "        return self._character\n",
    "    \n",
    "    @property\n",
    "    def spokes(self):\n",
    "        return self._spokes\n",
    "    \n",
    "    @property\n",
    "    def step(self):\n",
    "        return self._shift\n",
    "    \n",
    "    @step.setter\n",
    "    def step(self, value):\n",
    "        self._shift = value\n",
    "    \n",
    "    @property\n",
    "    def cipher(self):\n",
    "        return self.spokes[0]\n",
    "    \n",
    "    @property\n",
    "    def translate(self):\n",
    "        return self.spokes[1]\n",
    "        \n",
    "def create_wheels(char, index):\n",
    "    \"\"\"\n",
    "    Create a character wheel\n",
    "    \n",
    "    :param: char  - The character to create the wheels for\n",
    "    :param: index - The characters position in the ciphertext\n",
    "    \n",
    "    :return: List of tuples\n",
    "    \"\"\"\n",
    "    r = distancefrom(char, 'Z')\n",
    "\n",
    "    pairs = []\n",
    "    i = 0\n",
    "    for element in list(product(char, ''.join(decipher.actual_alphabet), repeat=1)):\n",
    "        # ignore any that don't start with the current letter\n",
    "        if (element[0] != char):\n",
    "            continue\n",
    "        \n",
    "        pairs.append(Wheel(element[0], element[1]))\n",
    "        i+=1\n",
    "    return pairs\n",
    "\n",
    "f = ''\n",
    "i = 1\n",
    "for q in ciphertext:\n",
    "    pairs = create_wheels(q, i)\n",
    "    # For now I'm just going to target the ciphertext for which we have the\n",
    "    # associated plaintext\n",
    "    if i in range(26,34) or i in range(64,75):\n",
    "        _ = [print(p.spokes) for p in pairs]\n",
    "        print()\n",
    "    i += 1\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "At this point the problem of deciphering K4 moves from deciphering to selecting. We know *how* to decipher the message but we don't know how to select the wheels.\n",
    "\n",
    "What is interesting about these wheels is each character set appears to be presented in 2 sets which we could label A and B.\n",
    "\n",
    "In the code block above, we create variable `d` as \n",
    "```\n",
    "d = (\n",
    "    (\n",
    "        decipher.a2i(element[1]) -\n",
    "        decipher.a2i(x) -\n",
    "        decipher.a2i(b) -\n",
    "        decipher.a2i(c)\n",
    "    ) - (97-index)\n",
    ") % 26\n",
    "```\n",
    "\n",
    "This creates a revolving index, pivoting on 26 (Z), defining the two sets. This can be equated to the rotar set in enigma with an additional complexity of for every character in the alphabet there are 26 wheel sets split into two groups pivoting on M in the second column."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Observations towards deciphering the key\n",
    "\n",
    "Given the plaintext that has been provided, there are indications that a sequential pattern is moving down through the ciphertext message which forms the basis of the key.\n",
    "\n",
    "This pattern is visible in a number of places, particularly where there are repetitions of characters (ciphertext) or plaintext repetitions in close proximity.\n",
    "\n",
    "We see this in the letters `QQ`, `SS` and the C's in `CLOCK`.\n",
    "\n",
    "Taking the `Q`s first, we note that these decipher to `NO` from `NORTHEAST`. `Q` is the 17th character of the standard alphabet whilst `N` and `O` are the 14th and 15th characters respectively.\n",
    "\n",
    "Similarly, the `SS`s play a similar role deciphering to the 19th and 20th characters of the alphabet. Co-incidentally, these also map to sequential rows when translating through `Z` as we see in the [Z-mappings table](#Z-mappings-table) above.\n",
    "\n",
    "With the `C`s from `CLOCK`, we note that the letters M and P are both spaced by 2 characters with M being the 13th character and P being the 16th.\n",
    "\n",
    "We can deduce from this that as the ciphertext moves forward by 1 character, associated wheels turn by 1 character.\n",
    "\n",
    "This could feed into the wheel selection process, for example, for any given starting offset, we move the selection position for all wheels by 1 character forwards or backwards\n",
    "\n",
    "**Example:**\n",
    "\n",
    "Given an offset of 4 and a ciphertext of HELLOWORLD, we would select wheel 4 from the H position. Moving to character E, we would select the 5th wheel, L the 6th and so on and so forth.\n",
    "\n",
    "This does not hold entirely true for deciphering. We know from the intermediate characters used to decipher the plaintext (`UTRNDNNNMJVRRWRJNEGD`), where we have repeated characters, the associated wheels are all wheel 14 (`N`) from the character wheels for `R, G, K S and Z`, wheel 18 (`R`) or wheel 4 (`D`)\n",
    "\n",
    "I say *entirely true*... The wheel selection doesn't seem to hold for repeated letters in the intermediate ciphertext, but what about where there are repeated letters in the ciphertext or plaintext?\n",
    "\n",
    "- `QQ` deciphers to the intermediate step `UT` with T being 1 character prior to U.\n",
    "- `SS` deciphers to the intermediate step `NM` with M being 1 character prior to M\n",
    "- `CloCk` has the characters `CC`, associated ciphertext `MP` and the intermediate equivelants of `JG`. G is separated from J by 2 characters.\n",
    "\n",
    "The difference here is that the alphabets on the intermediate step are running backwards, this masks the sequential nature of the cipher a litte.\n",
    "\n",
    "> **Note:**\n",
    ">\n",
    "> This is clearer if you use the reflection of `UTRNDNNNMJVRRWRJNEGD` as this moves forward through the alphabet, not backwards.\n",
    "\n",
    "There are a number of questions here which need answering such as:\n",
    "\n",
    "- Do all wheels start with the same offset?\n",
    "- Is there even an offset or am I being presumtious?\n",
    "- Does the offset on all wheels move with each character in the ciphertext or do they only change when that character has been hit?\n",
    "\n",
    "The indication is that there is an offset but that it is perhaps set differently at the start of the cipher for each character of the alphabet. Given the changes between how characters encipher as shown above, the suggestion is furthered that all characters change wheels with each character of the ciphertext. This is backed up by the difference in the C's which are, always 4 characters apart forwards or backwards.\n",
    "\n",
    "If the wheels all start at different offsets, there are 26 wheels to each letter of the alphabet. As we know the order in which the characters of the alphabet will be entered, that still leaves 26\\*26 different starting positions to test, however this is reduced by half once you take the known characters into consideration.\n",
    "\n",
    "For the known characters, we can determine their offset by working backwards from their first known position to the start of the string. We ignore duplicated characters as these are not relevant whilst missing characters are filled with the character `A`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'Q': 'F',\n",
       " 'P': 'G',\n",
       " 'R': 'J',\n",
       " 'N': 'S',\n",
       " 'G': 'H',\n",
       " 'K': 'G',\n",
       " 'S': 'F',\n",
       " 'Y': 'R',\n",
       " 'V': 'T',\n",
       " 'T': 'N',\n",
       " 'M': 'Y',\n",
       " 'Z': 'T',\n",
       " 'F': 'B',\n",
       " 'A': 'A',\n",
       " 'B': 'A',\n",
       " 'C': 'A',\n",
       " 'D': 'A',\n",
       " 'E': 'A',\n",
       " 'H': 'A',\n",
       " 'I': 'A',\n",
       " 'J': 'A',\n",
       " 'L': 'A',\n",
       " 'O': 'A',\n",
       " 'U': 'A',\n",
       " 'W': 'A',\n",
       " 'X': 'A'}"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def create_known_positions(\n",
    "    ciphertext,\n",
    "    substitution,\n",
    "    start_index=25,\n",
    "    secondary_index=63,\n",
    "    jump_at=33,\n",
    "    fill=True\n",
    "):\n",
    "    positions = {}\n",
    "\n",
    "    ps = ''\n",
    "    for i in range(len(ciphertext)):\n",
    "        char = ciphertext[i]\n",
    "        spoke = substitution[i]\n",
    "        \n",
    "        # check if we have created this position already\n",
    "        if char not in positions.keys():\n",
    "            pos = decipher.a2i(spoke)\n",
    "            \n",
    "            # rewind from the position back to 0\n",
    "            # loop the position on 0 back to 26 ('Z')\n",
    "            for _ in range(start_index, 0, -1):\n",
    "                pos = (pos - 1) if (pos - 1) > 0 else 26\n",
    "            \n",
    "            # store this position\n",
    "            positions[char] = pos\n",
    "\n",
    "        if jump_at and start_index == jump_at:\n",
    "            start_index = secondary_index\n",
    "        else:\n",
    "            start_index += 1\n",
    "\n",
    "    positions = {k: decipher.i2a(v) for k, v in positions.items()}\n",
    "\n",
    "    if fill:\n",
    "        # Now fill the missing characters with 'A'\n",
    "        for c in decipher.actual_alphabet:\n",
    "            if c not in positions.keys():\n",
    "                positions[c] = 'A'\n",
    "    return positions #dict(sorted(positions.items()))\n",
    "\n",
    "create_known_positions('QQPRNGKSSNYPVTTMZFPK', 'EFHLVLLLMPDHHCHPLUSV')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "LZXUJQISIBPZKZZDHMQRXQKOVNORTHEASTTCNEAZEDCDNONOZWRPVPHZVEJYMEIPEDLIJCLOKQZXUUTDVTBBXHDOCQLSJKNQJ\n"
     ]
    }
   ],
   "source": [
    "positions = create_known_positions(\n",
    "    'QQPRNGKSSNYPVTTMZFPK',\n",
    "    'EFHLVLLLMPDHHCHPLUSV',\n",
    "    jump_at=33\n",
    ")\n",
    "\n",
    "step_on = ['P', 'N', 'K', ]\n",
    "def step(ch, index, wheel):\n",
    "    \"\"\"\n",
    "    Determine step factor\n",
    "    \n",
    "    Depending on the \"step\" value of the wheel selection, we get different\n",
    "    words appearing.\n",
    "    \n",
    "    This suggests to me that there is a method to pre-determine which wheel\n",
    "    should be used that is placed in conjunction witht the position set.\n",
    "    \n",
    "    Without this in place, most of the message is garbage but there is confirmation\n",
    "    the stepping works in the following:\n",
    "    \n",
    "    OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
    "    LZXUJQISIBPZKZZDHMQRXQKOVNORTHEASTTCNEAZEDCDNONOZWRPVPHZVEJYMEIPEDLIJCLOKQZXUUTDVTBBXHDOCQLSJKNQJ\n",
    "                             ^-------^                              ^ ^^ ^^^\n",
    "    The section immediately following the word NORTHEAST is most likely either \"I ENGAGED\" or \"HE GAZED\".\n",
    "    \n",
    "    By changing the step value to ?? we can reveal the whole of the word CLOCK\n",
    "    \"\"\"\n",
    "    s = wheel[8]\n",
    "    c = decipher.a2i(ch)\n",
    "    stepvalue = (c + s) % 26 if (c + s) % 26 != 0 else 1\n",
    "    return stepvalue\n",
    "\n",
    "print(ciphertext)\n",
    "plain = ''\n",
    "for i in range(len(ciphertext)):\n",
    "    # This area is problematic. See step function above\n",
    "    pos = positions[ciphertext[i]]\n",
    "\n",
    "    wheel = [\n",
    "        w for w in create_wheels(\n",
    "            ciphertext[i], (i + 1)\n",
    "        ) if w.spokes[4] == pos\n",
    "    ][0]\n",
    "\n",
    "    step = 1\n",
    "    z_at = 26\n",
    "    positions = {\n",
    "        k: decipher.i2a(\n",
    "            (decipher.a2i(v) + step)\n",
    "            if (decipher.a2i(v) + step) <= z_at else 1# loop back round\n",
    "        )\n",
    "        for k, v in positions.items()\n",
    "    }\n",
    "    plain += distancefrom(wheel.cipher, wheel.translate)\n",
    "print(plain)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see something of a translation in the method above.\n",
    "\n",
    "There is certainly a pattern beginning to form whereby the correct plaintext is being revealed at the correct positions.\n",
    "\n",
    "Of course some of this could be circumstancial but my feeling is not.\n",
    "\n",
    "The determination of initial positions, followed by stepping them up as the ciphertext moves, character by character definitely holds merit but doesn't come cleanly."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It seems to be that the underlying principle of executing the machine in this manner is correct and valid but there is clearly a disjoint between the alphabet created and how the machine steps.\n",
    "\n",
    "It could be that we require a full 97 character alphabet, in which case there is reason to discover how the alphabet is constructed. If not, then there must be a factor which determines how each wheel steps.\n",
    "\n",
    "To look at the two alphabets for the known positions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'FGJSHGF'"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "''.join(create_known_positions(\n",
    "    'QQPRNGKSS',\n",
    "    'EFHLVLLLM',\n",
    "    start_index=25,\n",
    "    fill=False\n",
    ").values())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'ERUTNYTBA'"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "''.join(create_known_positions(\n",
    "    'NYPVTTMZFPK',\n",
    "    'PDHHCHPLUSV',\n",
    "    start_index=63,\n",
    "    fill=False\n",
    ").values())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, in the two outputs above, we have an alphabet that is slightly shorter than the original ciphertext in the same position.\n",
    "\n",
    "We can fill in the missing characters according to the stepping facility we designed above, which gives \n",
    "\n",
    "`FGGJSHGFG ERUTNOYTBVA`\n",
    "\n",
    "If we place that inline with the message, filling in the missing characters with the letter `A`, then run the machine, we do not quite get what we expect..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "LZRLJQISBBPZKUZDHLQRXPKFCNPRTHEASUTPNRVUEYXYNIUVZWEPPPHZVEJYUDIBERLIKCLOZKZQUOADITBBXAXOCQLSJENQA\n"
     ]
    }
   ],
   "source": [
    "plain = ''\n",
    "positions = 'AAAAAAAAAAAAAAAAAAAAAAAAAFGGJSHGFGAAAAAAAAAAAAAAAAAAAAAAAAAAAAAERUTNOYTBVAAAAAAAAAAAAAAAAAAAAAAAA'\n",
    "for i in range(len(ciphertext)):\n",
    "    pos = positions[i]\n",
    "\n",
    "    wheel = [\n",
    "        w for w in create_wheels(\n",
    "            ciphertext[i], (i + 1)\n",
    "        ) if w.spokes[4] == pos\n",
    "    ][0]\n",
    "\n",
    "    step = 1\n",
    "    z_at = 26\n",
    "    positions = ''.join(\n",
    "        decipher.i2a(\n",
    "            (decipher.a2i(v) + step)\n",
    "            if (decipher.a2i(v) + step) <= z_at else 1# loop back round\n",
    "        )\n",
    "        for v in positions\n",
    "    )\n",
    "    plain += distancefrom(wheel.cipher, wheel.translate)\n",
    "print(plain)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note the difference?\n",
    "\n",
    "Instead of `NORTHEAST` we get `NPRTHEASU` and instead of `BERLINCLOCK` we get `BERLIKCLOZK`. Small differences, easily corrected.\n",
    "\n",
    "What we end up with instead is:\n",
    "\n",
    "```\n",
    "QQPRNGKSS NYPVTT MZFPK\n",
    "FFGJSHGFF ERUTNR YTBYA\n",
    "NORTHEAST BERLIN CLOCK\n",
    "```\n",
    "\n",
    "This discrepancy was due to the fact the machine steps the alphabet so stepping it by hand in creating the initial positions almost certainly let us down."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "LZRLJQISBBPZKUZDHLQRXPKFCNORTHEASTTPNRVUEYXYNIUVZWEPPPHZVEJYUDIBERLINCLOCKZQUOADITBBXAXOCQLSJENQA\n"
     ]
    }
   ],
   "source": [
    "plain = ''\n",
    "positions = 'AAAAAAAAAAAAAAAAAAAAAAAAAFFGJSHGFFAAAAAAAAAAAAAAAAAAAAAAAAAAAAAERUTNRYTBYAAAAAAAAAAAAAAAAAAAAAAAA'\n",
    "for i in range(len(ciphertext)):\n",
    "    pos = positions[i]\n",
    "\n",
    "    wheel = [\n",
    "        w for w in create_wheels(\n",
    "            ciphertext[i], (i + 1)\n",
    "        ) if w.spokes[4] == pos\n",
    "    ][0]\n",
    "\n",
    "    step = 1\n",
    "    z_at = 26\n",
    "    positions = ''.join(\n",
    "        decipher.i2a(\n",
    "            (decipher.a2i(v) + step)\n",
    "            if (decipher.a2i(v) + step) <= z_at else 1# loop back round\n",
    "        )\n",
    "        for v in positions\n",
    "    )\n",
    "    plain += distancefrom(wheel.cipher, wheel.translate)\n",
    "print(plain)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So now we have confirmation that the cipher works by advancing another cipher along a path then masking it. But what is this other cipher?\n",
    "\n",
    "Question:\n",
    "\n",
    "What cipher are we given if we simply rewind the original ciphertext by its index position?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'OAIOQJRHYYKAPFAWSOJICKPUXRQOPKCFMLGKMIEFVBCBMRFEADVKKKSAEVQBFWRCMCHEDVHMVPAJFLZWRGYYCZCLXJOHQVMJZ'"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sa = ''\n",
    "for i in range(len(ciphertext)):\n",
    "    sa += decipher.i2a(\n",
    "        (decipher.a2i(ciphertext[i]) - i) % 26\n",
    "    )\n",
    "sa"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'OCMUYTDVOQEWNFCAYWTUQAHOTPQQTQKPYZWCGECFXFIJWDTUSXRIKMWGMFCPVOLYKCJIJDRYJFSDBJZYVMGIONSDRFMHSZSRJ'"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sb = ''\n",
    "for i in range(0, len(ciphertext)):\n",
    "    sb += decipher.i2a(\n",
    "        (decipher.a2i(ciphertext[i]) + i) % 26\n",
    "    )\n",
    "sb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "KMZIJXGTMWRCIUXRIFFSCOQUJWAMBDGGNWKZMSFXWSXERKJAFWBYBKZQQNRAQZGOBQMFZGQIRYQKUGPLKPRKUKVWILUHPKXGA\n",
      "OSZYHLOLQEBWKGDTGZTIKQGYXCIUPLCMLWEFACLJSEPYLSXQRSLQXKTEQZXGIDEMXWGXTOAGLKCSYAPJCPFCYMHESXUXBKJQU\n"
     ]
    }
   ],
   "source": [
    "print(ciphertext)\n",
    "s = ''\n",
    "for i in range(len(ciphertext)):\n",
    "    s += distancefrom(sa[::-1][i], sb[i])\n",
    "print(s)\n",
    "s = ''\n",
    "for i in range(len(ciphertext)):\n",
    "    s += distanceto(sa[::-1][i], sb[i])\n",
    "print(s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "ZBDZHDVDVHNVDZBVJXDBRJXZLBZDDZHVTVPHJLFZNDJHZVRPRBDBZFDFHPRRPXDZFZBLNRZTBVRNDFZNDJDPLTPHJLBZBLDXP\n"
     ]
    }
   ],
   "source": [
    "s = ''\n",
    "for i in range(len(ciphertext)):\n",
    "    s += decipher.i2a(\n",
    "        (decipher.a2i(sb[i]) ^ decipher.a2i(sa[i])) % 26\n",
    "    )\n",
    "print(ciphertext)\n",
    "print(s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "CVJTVKUICNJVCPTOGEFTERUZPDIVLOSTBLAQELZSSPVDRLLDJBHFJTJBCAFPGQYHVLICXFQJTBUPANXUUADXIZLNAEOCLHVFA\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "HACKEUAUHUKGIDCJTXZKDGWKPFZMTTVPYNBFNIWAIDULKJTAWZZKESSQJSQTWTOSSKGNRPQQVRLFWBBFILOSBLUHGOXOURKBO\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "CVJTVKUICNJVCPTOGEFTERUZPDIVLOSTBLAQELZSSPVDRLLDJBHFJTJBCAFPGQYHVLICXFQJTBUPANXUUADXIZLNAEOCLHVFA\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "HACKEUAUHUKGIDCJTXZKDGWKPFZMTTVPYNBFNIWAIDULKJTAWZZKESSQJSQTWTOSSKGNRPQQVRLFWBBFILOSBLUHGOXOURKBO\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "CVJTVKUICNJVCPTOGEFTERUZPDIVLOSTBLAQELZSSPVDRLLDJBHFJTJBCAFPGQYHVLICXFQJTBUPANXUUADXIZLNAEOCLHVFA\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "HACKEUAUHUKGIDCJTXZKDGWKPFZMTTVPYNBFNIWAIDULKJTAWZZKESSQJSQTWTOSSKGNRPQQVRLFWBBFILOSBLUHGOXOURKBO\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "CVJTVKUICNJVCPTOGEFTERUZPDIVLOSTBLAQELZSSPVDRLLDJBHFJTJBCAFPGQYHVLICXFQJTBUPANXUUADXIZLNAEOCLHVFA\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "HACKEUAUHUKGIDCJTXZKDGWKPFZMTTVPYNBFNIWAIDULKJTAWZZKESSQJSQTWTOSSKGNRPQQVRLFWBBFILOSBLUHGOXOURKBO\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "CVJTVKUICNJVCPTOGEFTERUZPDIVLOSTBLAQELZSSPVDRLLDJBHFJTJBCAFPGQYHVLICXFQJTBUPANXUUADXIZLNAEOCLHVFA\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "HACKEUAUHUKGIDCJTXZKDGWKPFZMTTVPYNBFNIWAIDULKJTAWZZKESSQJSQTWTOSSKGNRPQQVRLFWBBFILOSBLUHGOXOURKBO\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "CVJTVKUICNJVCPTOGEFTERUZPDIVLOSTBLAQELZSSPVDRLLDJBHFJTJBCAFPGQYHVLICXFQJTBUPANXUUADXIZLNAEOCLHVFA\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "HACKEUAUHUKGIDCJTXZKDGWKPFZMTTVPYNBFNIWAIDULKJTAWZZKESSQJSQTWTOSSKGNRPQQVRLFWBBFILOSBLUHGOXOURKBO\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "CVJTVKUICNJVCPTOGEFTERUZPDIVLOSTBLAQELZSSPVDRLLDJBHFJTJBCAFPGQYHVLICXFQJTBUPANXUUADXIZLNAEOCLHVFA\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "HACKEUAUHUKGIDCJTXZKDGWKPFZMTTVPYNBFNIWAIDULKJTAWZZKESSQJSQTWTOSSKGNRPQQVRLFWBBFILOSBLUHGOXOURKBO\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "CVJTVKUICNJVCPTOGEFTERUZPDIVLOSTBLAQELZSSPVDRLLDJBHFJTJBCAFPGQYHVLICXFQJTBUPANXUUADXIZLNAEOCLHVFA\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "HACKEUAUHUKGIDCJTXZKDGWKPFZMTTVPYNBFNIWAIDULKJTAWZZKESSQJSQTWTOSSKGNRPQQVRLFWBBFILOSBLUHGOXOURKBO\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "CVJTVKUICNJVCPTOGEFTERUZPDIVLOSTBLAQELZSSPVDRLLDJBHFJTJBCAFPGQYHVLICXFQJTBUPANXUUADXIZLNAEOCLHVFA\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "HACKEUAUHUKGIDCJTXZKDGWKPFZMTTVPYNBFNIWAIDULKJTAWZZKESSQJSQTWTOSSKGNRPQQVRLFWBBFILOSBLUHGOXOURKBO\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "CVJTVKUICNJVCPTOGEFTERUZPDIVLOSTBLAQELZSSPVDRLLDJBHFJTJBCAFPGQYHVLICXFQJTBUPANXUUADXIZLNAEOCLHVFA\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "HACKEUAUHUKGIDCJTXZKDGWKPFZMTTVPYNBFNIWAIDULKJTAWZZKESSQJSQTWTOSSKGNRPQQVRLFWBBFILOSBLUHGOXOURKBO\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "CVJTVKUICNJVCPTOGEFTERUZPDIVLOSTBLAQELZSSPVDRLLDJBHFJTJBCAFPGQYHVLICXFQJTBUPANXUUADXIZLNAEOCLHVFA\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "HACKEUAUHUKGIDCJTXZKDGWKPFZMTTVPYNBFNIWAIDULKJTAWZZKESSQJSQTWTOSSKGNRPQQVRLFWBBFILOSBLUHGOXOURKBO\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "CVJTVKUICNJVCPTOGEFTERUZPDIVLOSTBLAQELZSSPVDRLLDJBHFJTJBCAFPGQYHVLICXFQJTBUPANXUUADXIZLNAEOCLHVFA\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "HACKEUAUHUKGIDCJTXZKDGWKPFZMTTVPYNBFNIWAIDULKJTAWZZKESSQJSQTWTOSSKGNRPQQVRLFWBBFILOSBLUHGOXOURKBO\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "CVJTVKUICNJVCPTOGEFTERUZPDIVLOSTBLAQELZSSPVDRLLDJBHFJTJBCAFPGQYHVLICXFQJTBUPANXUUADXIZLNAEOCLHVFA\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "HACKEUAUHUKGIDCJTXZKDGWKPFZMTTVPYNBFNIWAIDULKJTAWZZKESSQJSQTWTOSSKGNRPQQVRLFWBBFILOSBLUHGOXOURKBO\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "CVJTVKUICNJVCPTOGEFTERUZPDIVLOSTBLAQELZSSPVDRLLDJBHFJTJBCAFPGQYHVLICXFQJTBUPANXUUADXIZLNAEOCLHVFA\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "HACKEUAUHUKGIDCJTXZKDGWKPFZMTTVPYNBFNIWAIDULKJTAWZZKESSQJSQTWTOSSKGNRPQQVRLFWBBFILOSBLUHGOXOURKBO\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "CVJTVKUICNJVCPTOGEFTERUZPDIVLOSTBLAQELZSSPVDRLLDJBHFJTJBCAFPGQYHVLICXFQJTBUPANXUUADXIZLNAEOCLHVFA\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "HACKEUAUHUKGIDCJTXZKDGWKPFZMTTVPYNBFNIWAIDULKJTAWZZKESSQJSQTWTOSSKGNRPQQVRLFWBBFILOSBLUHGOXOURKBO\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "CVJTVKUICNJVCPTOGEFTERUZPDIVLOSTBLAQELZSSPVDRLLDJBHFJTJBCAFPGQYHVLICXFQJTBUPANXUUADXIZLNAEOCLHVFA\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "HACKEUAUHUKGIDCJTXZKDGWKPFZMTTVPYNBFNIWAIDULKJTAWZZKESSQJSQTWTOSSKGNRPQQVRLFWBBFILOSBLUHGOXOURKBO\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "CVJTVKUICNJVCPTOGEFTERUZPDIVLOSTBLAQELZSSPVDRLLDJBHFJTJBCAFPGQYHVLICXFQJTBUPANXUUADXIZLNAEOCLHVFA\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "HACKEUAUHUKGIDCJTXZKDGWKPFZMTTVPYNBFNIWAIDULKJTAWZZKESSQJSQTWTOSSKGNRPQQVRLFWBBFILOSBLUHGOXOURKBO\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "OBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSJQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR\n",
      "CVJTVKUICNJVCPTOGEFTERUZPDIVLOSTBLAQELZSSPVDRLLDJBHFJTJBCAFPGQYHVLICXFQJTBUPANXUUADXIZLNAEOCLHVFA\n"
     ]
    }
   ],
   "source": [
    "cipher    = ciphertext\n",
    "positions = ciphertext[::-1]\n",
    "\n",
    "reverse = False\n",
    "use_distances = True\n",
    "for _ in range(52):\n",
    "    plain = ''\n",
    "    for i in range(len(ciphertext)):\n",
    "        pos = positions[i]\n",
    "\n",
    "        wheel = [\n",
    "            w for w in create_wheels(\n",
    "                cipher[i], (i + 1)\n",
    "            ) if w.spokes[4] == pos\n",
    "        ][0]\n",
    "\n",
    "        step = 1\n",
    "        z_at = 26\n",
    "        positions = ''.join(\n",
    "            decipher.i2a(\n",
    "                (decipher.a2i(v) + step)\n",
    "                if (decipher.a2i(v) + step) <= z_at else 1# loop back round\n",
    "            )\n",
    "            for v in positions\n",
    "        )\n",
    "\n",
    "        if use_distances:\n",
    "            if not reverse:\n",
    "                plain += distancefrom(wheel.cipher, wheel.translate)\n",
    "            else:\n",
    "                plain += distanceto(wheel.cipher, wheel.translate)\n",
    "        else:\n",
    "            if not reverse:\n",
    "                plain += decipher.i2a(\n",
    "                    (decipher.a2i(wheel.cipher) + decipher.a2i(wheel.translate)) % 26\n",
    "                )\n",
    "            else:\n",
    "                plain += decipher.i2a(\n",
    "                    (decipher.a2i(wheel.cipher) - decipher.a2i(wheel.translate)) % 26\n",
    "                )\n",
    "                \n",
    "        reverse = !reverse\n",
    "    print(ciphertext)\n",
    "    print(plain)\n",
    "    positions = cipher\n",
    "    cipher = plain"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "AZYXWVUTS\n"
     ]
    }
   ],
   "source": [
    "a = 'EFHLVLLLM'\n",
    "b = 'FFGJSHGFF'\n",
    "\n",
    "s = ''\n",
    "for i in range(len(a)):\n",
    "    s += distanceto(a[i], b[i])\n",
    "print(s)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Distance calculator method\n",
    "\n",
    "In order to examine deeper how the wheels move, we need to define a method for generating all possibilities between two known positions.\n",
    "\n",
    "This is effectively an extension of the machine defined above\n",
    "\n",
    "> ### Note\n",
    ">\n",
    "> This method may take a couple of minutes to run. It will complete\n",
    "> but needs to finish iterations of the search. Be patient.\n",
    "\n",
    "This method has been amended on 1/06/2020 for the inclusion of two additional pieces of functionality.\n",
    "\n",
    "1. include a flag which allows the distances to be printed as numerical values\n",
    "2. An additional flag is printed at the end of each line:\n",
    "  - E if all characters in the line are even characters\n",
    "  - M if there is a mix of odd and even\n",
    "  - O if all characters are odd\n",
    " \n",
    "Testing with the functionality defined under 1 revealed a pattern which lead to the creation of point 2. Whilst I am currently unaware of the significance of this, it is intriguing as the pattern holds in most instances."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "def is_odd_or_even(string):\n",
    "    \"\"\"\n",
    "    Returns O if all characters in string are odd, E if all are even or M if there is a mix\n",
    "    \"\"\"\n",
    "    return (\n",
    "        'E' if all(j % 2 == 0 for j in [decipher.a2i(t) for t in string])\n",
    "        else 'O' if all(not (j % 2 == 0) for j in [decipher.a2i(t) for t in string])\n",
    "        else 'M'\n",
    "    )\n",
    "\n",
    "def distance_calculator(start, end, to=True, as_numbers=False, print_str=True):\n",
    "    distances = [\n",
    "        (start, is_odd_or_even(start)),\n",
    "        (end, is_odd_or_even(end)),\n",
    "    ]\n",
    "    completed = []\n",
    "    pos = 0\n",
    "    max_iterations = 1000\n",
    "    max_count = 672\n",
    "    k = 0\n",
    "    halt = False\n",
    "    while (pos < max_iterations) and not halt:\n",
    "        for item in combinations([d[0] for d in distances], 2):\n",
    "            if item in completed:\n",
    "                continue\n",
    "            c = item[0]\n",
    "            s = item[1]\n",
    "            for i in range(6):\n",
    "                z = ''\n",
    "                for j in range(len(c)):\n",
    "                    z += distanceto(c[j], s[j]) if to else distancefrom(c[j], s[j])\n",
    "                \n",
    "                e = is_odd_or_even(z)\n",
    "                if (z, e) not in distances:\n",
    "                    distances.append((z, e))\n",
    "                    p = ' '.join([str(decipher.a2i(t)).zfill(2) for t in z])\n",
    "                    if print_str:\n",
    "                        print('{} ({}, {}) = {} {}'.format(str(k).zfill(2), c, s, (p if as_numbers else z), e))\n",
    "                    k += 1\n",
    "                c = s\n",
    "                s = z\n",
    "\n",
    "            completed.append(item)\n",
    "            \n",
    "            # The cipher never exceeds k == 672.\n",
    "            # Either at this point there are no new values or the number\n",
    "            # of combinations being searched is simply too large to\n",
    "            # complete in a reasonable amount of time with a single processor\n",
    "            if k >= max_count:\n",
    "                halt=True\n",
    "                break\n",
    "                \n",
    "        pos += 1\n",
    "\n",
    "    return distances"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set of prior determined wheel mappings referenced here as a copy location\n",
    "\n",
    "```\n",
    "00 QQPRNGKSSNYPVTTMZFPK UTRNDNNNMJVRRWRJNEGD DCBVPGCUTVWBVCXWNYQS\n",
    "01 UTRNDNNNMJVRRWRJNEGD DCBVPGCUTVWBVCXWNYQS IIJHLSOGGLAJDFFMZTJO\n",
    "02 DCBVPGCUTVWBVCXWNYQS IIJHLSOGGLAJDFFMZTJO EFHLVLLLMPDHHCHPLUSV\n",
    "03 IIJHLSOGGLAJDFFMZTJO EFHLVLLLMPDHHCHPLUSV VWXDJSWEFDCXDWBCLAIG\n",
    "04 EFHLVLLLMPDHHCHPLUSV VWXDJSWEFDCXDWBCLAIG QQPRNGKSSNYPVTTMZFPK\n",
    "05 VWXDJSWEFDCXDWBCLAIG QQPRNGKSSNYPVTTMZFPK UTRNDNNNMJVRRWRJNEGD\n",
    "```\n",
    "\n",
    "What I want to look at here is for each alternating distance, what wheel positions are found inside?\n",
    "\n",
    "For example, what is between `QQPRNGKSSNYPVTTMZFPK` and `IIJHLSOGGLAJDFFMZTJO`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "00 (QQPRNGKSSNYPVTTMZFPK, IIJHLSOGGLAJDFFMZTJO) = RRTPXLDNNXBTHLLZZNTD E\n",
      "01 (IIJHLSOGGLAJDFFMZTJO, QQPRNGKSSNYPVTTMZFPK) = HHFJBNVLLBXFRNNZZLFV E\n",
      "02 (QQPRNGKSSNYPVTTMZFPK, RRTPXLDNNXBTHLLZZNTD) = AADXJESUUJCDLRRMZHDS M\n",
      "03 (IIJHLSOGGLAJDFFMZTJO, HHFJBNVLLBXFRNNZZLFV) = YYVBPUGEEPWVNHHMZRVG M\n",
      "04 (RRTPXLDNNXBTHLLZZNTD, HHFJBNVLLBXFRNNZZLFV) = PPLTDBRXXDVLJBBZZXLR E\n",
      "05 (HHFJBNVLLBXFRNNZZLFV, RRTPXLDNNXBTHLLZZNTD) = JJNFVXHBBVDNPXXZZBNH E\n",
      "06 (QQPRNGKSSNYPVTTMZFPK, JJNFVXHBBVDNPXXZZBNH) = SSXNHQWIIHEXTDDMZVXW M\n",
      "07 (IIJHLSOGGLAJDFFMZTJO, PPLTDBRXXDVLJBBZZXLR) = GGBLRICQQRUBFVVMZDBC M\n",
      "08 (RRTPXLDNNXBTHLLZZNTD, PPLTDBRXXDVLJBBZZXLR) = XXRDFPNJJFTRBPPZZJRN E\n",
      "09 (HHFJBNVLLBXFRNNZZLFV, JJNFVXHBBVDNPXXZZBNH) = BBHVTJLPPTFHXJJZZPHL E\n",
      "10 (AADXJESUUJCDLRRMZHDS, PPLTDBRXXDVLJBBZZXLR) = OOHVTWYCCTSHXJJMZPHY M\n",
      "11 (YYVBPUGEEPWVNHHMZRVG, JJNFVXHBBVDNPXXZZBNH) = KKRDFCAWWFGRBPPMZJRA M\n",
      "12 (PPLTDBRXXDVLJBBZZXLR, JJNFVXHBBVDNPXXZZBNH) = TTBLRVPDDRHBFVVZZDBP E\n",
      "13 (JJNFVXHBBVDNPXXZZBNH, PPLTDBRXXDVLJBBZZXLR) = FFXNHDJVVHRXTDDZZVXJ E\n",
      "14 (QQPRNGKSSNYPVTTMZFPK, TTBLRVPDDRHBFVVZZDBP) = CCLTDOEKKDILJBBMZXLE M\n",
      "15 (IIJHLSOGGLAJDFFMZTJO, FFXNHDJVVHRXTDDZZVXJ) = WWNFVKUOOVQNPXXMZBNU M\n",
      "16 (RRTPXLDNNXBTHLLZZNTD, FFXNHDJVVHRXTDDZZVXJ) = NNDXJRFHHJPDLRRZZHDF E\n",
      "17 (HHFJBNVLLBXFRNNZZLFV, TTBLRVPDDRHBFVVZZDBP) = LLVBPHTRRPJVNHHZZRVT E\n",
      "18 (AADXJESUUJCDLRRMZHDS, FFXNHDJVVHRXTDDZZVXJ) = EETPXYQAAXOTHLLMZNTQ M\n",
      "19 (YYVBPUGEEPWVNHHMZRVG, TTBLRVPDDRHBFVVZZDBP) = UUFJBAIYYBKFRNNMZLFI M\n",
      "20 (PPLTDBRXXDVLJBBZZXLR, TTBLRVPDDRHBFVVZZDBP) = DDPRNTXFFNLPVTTZZFPX E\n",
      "21 (JJNFVXHBBVDNPXXZZBNH, FFXNHDJVVHRXTDDZZVXJ) = VVJHLFBTTLNJDFFZZTJB E\n",
      "22 (SSXNHQWIIHEXTDDMZVXW, FFXNHDJVVHRXTDDZZVXJ) = MMZZZMMMMZMZZZZMZZZM M\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[('QQPRNGKSSNYPVTTMZFPK', 'M'),\n",
       " ('IIJHLSOGGLAJDFFMZTJO', 'M'),\n",
       " ('RRTPXLDNNXBTHLLZZNTD', 'E'),\n",
       " ('HHFJBNVLLBXFRNNZZLFV', 'E'),\n",
       " ('AADXJESUUJCDLRRMZHDS', 'M'),\n",
       " ('YYVBPUGEEPWVNHHMZRVG', 'M'),\n",
       " ('PPLTDBRXXDVLJBBZZXLR', 'E'),\n",
       " ('JJNFVXHBBVDNPXXZZBNH', 'E'),\n",
       " ('SSXNHQWIIHEXTDDMZVXW', 'M'),\n",
       " ('GGBLRICQQRUBFVVMZDBC', 'M'),\n",
       " ('XXRDFPNJJFTRBPPZZJRN', 'E'),\n",
       " ('BBHVTJLPPTFHXJJZZPHL', 'E'),\n",
       " ('OOHVTWYCCTSHXJJMZPHY', 'M'),\n",
       " ('KKRDFCAWWFGRBPPMZJRA', 'M'),\n",
       " ('TTBLRVPDDRHBFVVZZDBP', 'E'),\n",
       " ('FFXNHDJVVHRXTDDZZVXJ', 'E'),\n",
       " ('CCLTDOEKKDILJBBMZXLE', 'M'),\n",
       " ('WWNFVKUOOVQNPXXMZBNU', 'M'),\n",
       " ('NNDXJRFHHJPDLRRZZHDF', 'E'),\n",
       " ('LLVBPHTRRPJVNHHZZRVT', 'E'),\n",
       " ('EETPXYQAAXOTHLLMZNTQ', 'M'),\n",
       " ('UUFJBAIYYBKFRNNMZLFI', 'M'),\n",
       " ('DDPRNTXFFNLPVTTZZFPX', 'E'),\n",
       " ('VVJHLFBTTLNJDFFZZTJB', 'E'),\n",
       " ('MMZZZMMMMZMZZZZMZZZM', 'M')]"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "distance_calculator('QQPRNGKSSNYPVTTMZFPK', 'IIJHLSOGGLAJDFFMZTJO')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "00 (QQPRNGKSSNYPVTTMZFPK, IIJHLSOGGLAJDFFMZTJO) = 18 18 20 16 24 12 04 14 14 24 02 20 08 12 12 26 26 14 20 04 E\n",
      "01 (IIJHLSOGGLAJDFFMZTJO, QQPRNGKSSNYPVTTMZFPK) = 08 08 06 10 02 14 22 12 12 02 24 06 18 14 14 26 26 12 06 22 E\n",
      "02 (QQPRNGKSSNYPVTTMZFPK, RRTPXLDNNXBTHLLZZNTD) = 01 01 04 24 10 05 19 21 21 10 03 04 12 18 18 13 26 08 04 19 M\n",
      "03 (IIJHLSOGGLAJDFFMZTJO, HHFJBNVLLBXFRNNZZLFV) = 25 25 22 02 16 21 07 05 05 16 23 22 14 08 08 13 26 18 22 07 M\n",
      "04 (RRTPXLDNNXBTHLLZZNTD, HHFJBNVLLBXFRNNZZLFV) = 16 16 12 20 04 02 18 24 24 04 22 12 10 02 02 26 26 24 12 18 E\n",
      "05 (HHFJBNVLLBXFRNNZZLFV, RRTPXLDNNXBTHLLZZNTD) = 10 10 14 06 22 24 08 02 02 22 04 14 16 24 24 26 26 02 14 08 E\n",
      "06 (QQPRNGKSSNYPVTTMZFPK, JJNFVXHBBVDNPXXZZBNH) = 19 19 24 14 08 17 23 09 09 08 05 24 20 04 04 13 26 22 24 23 M\n",
      "07 (IIJHLSOGGLAJDFFMZTJO, PPLTDBRXXDVLJBBZZXLR) = 07 07 02 12 18 09 03 17 17 18 21 02 06 22 22 13 26 04 02 03 M\n",
      "08 (RRTPXLDNNXBTHLLZZNTD, PPLTDBRXXDVLJBBZZXLR) = 24 24 18 04 06 16 14 10 10 06 20 18 02 16 16 26 26 10 18 14 E\n",
      "09 (HHFJBNVLLBXFRNNZZLFV, JJNFVXHBBVDNPXXZZBNH) = 02 02 08 22 20 10 12 16 16 20 06 08 24 10 10 26 26 16 08 12 E\n",
      "10 (AADXJESUUJCDLRRMZHDS, PPLTDBRXXDVLJBBZZXLR) = 15 15 08 22 20 23 25 03 03 20 19 08 24 10 10 13 26 16 08 25 M\n",
      "11 (YYVBPUGEEPWVNHHMZRVG, JJNFVXHBBVDNPXXZZBNH) = 11 11 18 04 06 03 01 23 23 06 07 18 02 16 16 13 26 10 18 01 M\n",
      "12 (PPLTDBRXXDVLJBBZZXLR, JJNFVXHBBVDNPXXZZBNH) = 20 20 02 12 18 22 16 04 04 18 08 02 06 22 22 26 26 04 02 16 E\n",
      "13 (JJNFVXHBBVDNPXXZZBNH, PPLTDBRXXDVLJBBZZXLR) = 06 06 24 14 08 04 10 22 22 08 18 24 20 04 04 26 26 22 24 10 E\n",
      "14 (QQPRNGKSSNYPVTTMZFPK, TTBLRVPDDRHBFVVZZDBP) = 03 03 12 20 04 15 05 11 11 04 09 12 10 02 02 13 26 24 12 05 M\n",
      "15 (IIJHLSOGGLAJDFFMZTJO, FFXNHDJVVHRXTDDZZVXJ) = 23 23 14 06 22 11 21 15 15 22 17 14 16 24 24 13 26 02 14 21 M\n",
      "16 (RRTPXLDNNXBTHLLZZNTD, FFXNHDJVVHRXTDDZZVXJ) = 14 14 04 24 10 18 06 08 08 10 16 04 12 18 18 26 26 08 04 06 E\n",
      "17 (HHFJBNVLLBXFRNNZZLFV, TTBLRVPDDRHBFVVZZDBP) = 12 12 22 02 16 08 20 18 18 16 10 22 14 08 08 26 26 18 22 20 E\n",
      "18 (AADXJESUUJCDLRRMZHDS, FFXNHDJVVHRXTDDZZVXJ) = 05 05 20 16 24 25 17 01 01 24 15 20 08 12 12 13 26 14 20 17 M\n",
      "19 (YYVBPUGEEPWVNHHMZRVG, TTBLRVPDDRHBFVVZZDBP) = 21 21 06 10 02 01 09 25 25 02 11 06 18 14 14 13 26 12 06 09 M\n",
      "20 (PPLTDBRXXDVLJBBZZXLR, TTBLRVPDDRHBFVVZZDBP) = 04 04 16 18 14 20 24 06 06 14 12 16 22 20 20 26 26 06 16 24 E\n",
      "21 (JJNFVXHBBVDNPXXZZBNH, FFXNHDJVVHRXTDDZZVXJ) = 22 22 10 08 12 06 02 20 20 12 14 10 04 06 06 26 26 20 10 02 E\n",
      "22 (SSXNHQWIIHEXTDDMZVXW, FFXNHDJVVHRXTDDZZVXJ) = 13 13 26 26 26 13 13 13 13 26 13 26 26 26 26 13 26 26 26 13 M\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[('QQPRNGKSSNYPVTTMZFPK', 'M'),\n",
       " ('IIJHLSOGGLAJDFFMZTJO', 'M'),\n",
       " ('RRTPXLDNNXBTHLLZZNTD', 'E'),\n",
       " ('HHFJBNVLLBXFRNNZZLFV', 'E'),\n",
       " ('AADXJESUUJCDLRRMZHDS', 'M'),\n",
       " ('YYVBPUGEEPWVNHHMZRVG', 'M'),\n",
       " ('PPLTDBRXXDVLJBBZZXLR', 'E'),\n",
       " ('JJNFVXHBBVDNPXXZZBNH', 'E'),\n",
       " ('SSXNHQWIIHEXTDDMZVXW', 'M'),\n",
       " ('GGBLRICQQRUBFVVMZDBC', 'M'),\n",
       " ('XXRDFPNJJFTRBPPZZJRN', 'E'),\n",
       " ('BBHVTJLPPTFHXJJZZPHL', 'E'),\n",
       " ('OOHVTWYCCTSHXJJMZPHY', 'M'),\n",
       " ('KKRDFCAWWFGRBPPMZJRA', 'M'),\n",
       " ('TTBLRVPDDRHBFVVZZDBP', 'E'),\n",
       " ('FFXNHDJVVHRXTDDZZVXJ', 'E'),\n",
       " ('CCLTDOEKKDILJBBMZXLE', 'M'),\n",
       " ('WWNFVKUOOVQNPXXMZBNU', 'M'),\n",
       " ('NNDXJRFHHJPDLRRZZHDF', 'E'),\n",
       " ('LLVBPHTRRPJVNHHZZRVT', 'E'),\n",
       " ('EETPXYQAAXOTHLLMZNTQ', 'M'),\n",
       " ('UUFJBAIYYBKFRNNMZLFI', 'M'),\n",
       " ('DDPRNTXFFNLPVTTZZFPX', 'E'),\n",
       " ('VVJHLFBTTLNJDFFZZTJB', 'E'),\n",
       " ('MMZZZMMMMZMZZZZMZZZM', 'M')]"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "distance_calculator('QQPRNGKSSNYPVTTMZFPK', 'IIJHLSOGGLAJDFFMZTJO', as_numbers=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So this is interesting. Most of these, in effect look like ciphers of their own, and potentially they are... However, there is one at position 22 which really stands out.\n",
    "\n",
    "As we look at the pattern `MMZZZMMMMZMZZZZMZZZM`, we notice that it is composed entirely of `M` and `Z` but this isn't random.\n",
    "\n",
    "Take a look at it inline with the original ciphertext:\n",
    "\n",
    "```\n",
    "QQPRNGKSSNYPVTTMZFPK\n",
    "MMZZZMMMMZMZZZZMZZZM\n",
    "```\n",
    "\n",
    "The letter Q is the 17th letter of the alphabet. This is written as `M`.\n",
    "`P`, `R` and `N` on the other hand, are all even numbered. These are written as the letter `Z`.\n",
    "\n",
    "This is a binary system. M for odd, Z for Even.\n",
    "\n",
    "Question: How does the pattern change if we look at the next pair in the list?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "00 (DCBVPGCUTVWBVCXWNYQS, VWXDJSWEFDCXDWBCLAIG) = RTVHTLTJLHFVHTDFXBRN E\n",
      "01 (VWXDJSWEFDCXDWBCLAIG, DCBVPGCUTVWBVCXWNYQS) = HFDRFNFPNRTDRFVTBXHL E\n",
      "02 (DCBVPGCUTVWBVCXWNYQS, RTVHTLTJLHFVHTDFXBRN) = NQTLDEQORLITLQFIJCAU M\n",
      "03 (VWXDJSWEFDCXDWBCLAIG, HFDRFNFPNRTDRFVTBXHL) = LIFNVUIKHNQFNITQPWYE M\n",
      "04 (RTVHTLTJLHFVHTDFXBRN, HFDRFNFPNRTDRFVTBXHL) = PLHJLBLFBJNHJLRNDVPX E\n",
      "05 (HFDRFNFPNRTDRFVTBXHL, RTVHTLTJLHFVHTDFXBRN) = JNRPNXNTXPLRPNHLVDJB E\n",
      "06 (DCBVPGCUTVWBVCXWNYQS, JNRPNXNTXPLRPNHLVDJB) = FKPTXQKYDTOPTKJOHESI M\n",
      "07 (VWXDJSWEFDCXDWBCLAIG, PLHJLBLFBJNHJLRNDVPX) = TOJFBIOAVFKJFOPKRUGQ M\n",
      "08 (RTVHTLTJLHFVHTDFXBRN, PLHJLBLFBJNHJLRNDVPX) = XRLBRPRVPBHLBRNHFTXJ E\n",
      "09 (HFDRFNFPNRTDRFVTBXHL, JNRPNXNTXPLRPNHLVDJB) = BHNXHJHDJXRNXHLRTFBP E\n",
      "10 (NQTLDEQORLITLQFIJCAU, PLHJLBLFBJNHJLRNDVPX) = BUNXHWUQJXENXULETSOC M\n",
      "11 (LIFNVUIKHNQFNITQPWYE, JNRPNXNTXPLRPNHLVDJB) = XELBRCEIPBULBENUFGKW M\n",
      "12 (PLHJLBLFBJNHJLRNDVPX, JNRPNXNTXPLRPNHLVDJB) = TBJFBVBNVFXJFBPXRHTD E\n",
      "13 (JNRPNXNTXPLRPNHLVDJB, PLHJLBLFBJNHJLRNDVPX) = FXPTXDXLDTBPTXJBHRFV E\n",
      "14 (DCBVPGCUTVWBVCXWNYQS, TBJFBVBNVFXJFBPXRHTD) = PYHJLOYSBJAHJYRADICK M\n",
      "15 (VWXDJSWEFDCXDWBCLAIG, FXPTXDXLDTBPTXJBHRFV) = JARPNKAGXPYRPAHYVQWO M\n",
      "16 (RTVHTLTJLHFVHTDFXBRN, FXPTXDXLDTBPTXJBHRFV) = NDTLDRDBRLVTLDFVJPNH E\n",
      "17 (HFDRFNFPNRTDRFVTBXHL, TBJFBVBNVFXJFBPXRHTD) = LVFNVHVXHNDFNVTDPJLR E\n",
      "18 (NQTLDEQORLITLQFIJCAU, FXPTXDXLDTBPTXJBHRFV) = RGVHTYGWLHSVHGDSXOEA M\n",
      "19 (LIFNVUIKHNQFNITQPWYE, TBJFBVBNVFXJFBPXRHTD) = HSDRFASCNRGDRSVGBKUY M\n",
      "20 (PLHJLBLFBJNHJLRNDVPX, TBJFBVBNVFXJFBPXRHTD) = DPBVPTPHTVJBVPXJNLDF E\n",
      "21 (JNRPNXNTXPLRPNHLVDJB, FXPTXDXLDTBPTXJBHRFV) = VJXDJFJRFDPXDJBPLNVT E\n",
      "22 (FKPTXQKYDTOPTKJOHESI, FXPTXDXLDTBPTXJBHRFV) = ZMZZZMMMZZMZZMZMZMMM M\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[('DCBVPGCUTVWBVCXWNYQS', 'M'),\n",
       " ('VWXDJSWEFDCXDWBCLAIG', 'M'),\n",
       " ('RTVHTLTJLHFVHTDFXBRN', 'E'),\n",
       " ('HFDRFNFPNRTDRFVTBXHL', 'E'),\n",
       " ('NQTLDEQORLITLQFIJCAU', 'M'),\n",
       " ('LIFNVUIKHNQFNITQPWYE', 'M'),\n",
       " ('PLHJLBLFBJNHJLRNDVPX', 'E'),\n",
       " ('JNRPNXNTXPLRPNHLVDJB', 'E'),\n",
       " ('FKPTXQKYDTOPTKJOHESI', 'M'),\n",
       " ('TOJFBIOAVFKJFOPKRUGQ', 'M'),\n",
       " ('XRLBRPRVPBHLBRNHFTXJ', 'E'),\n",
       " ('BHNXHJHDJXRNXHLRTFBP', 'E'),\n",
       " ('BUNXHWUQJXENXULETSOC', 'M'),\n",
       " ('XELBRCEIPBULBENUFGKW', 'M'),\n",
       " ('TBJFBVBNVFXJFBPXRHTD', 'E'),\n",
       " ('FXPTXDXLDTBPTXJBHRFV', 'E'),\n",
       " ('PYHJLOYSBJAHJYRADICK', 'M'),\n",
       " ('JARPNKAGXPYRPAHYVQWO', 'M'),\n",
       " ('NDTLDRDBRLVTLDFVJPNH', 'E'),\n",
       " ('LVFNVHVXHNDFNVTDPJLR', 'E'),\n",
       " ('RGVHTYGWLHSVHGDSXOEA', 'M'),\n",
       " ('HSDRFASCNRGDRSVGBKUY', 'M'),\n",
       " ('DPBVPTPHTVJBVPXJNLDF', 'E'),\n",
       " ('VJXDJFJRFDPXDJBPLNVT', 'E'),\n",
       " ('ZMZZZMMMZZMZZMZMZMMM', 'M')]"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "distance_calculator('DCBVPGCUTVWBVCXWNYQS', 'VWXDJSWEFDCXDWBCLAIG')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "00 (DCBVPGCUTVWBVCXWNYQS, VWXDJSWEFDCXDWBCLAIG) = 18 20 22 08 20 12 20 10 12 08 06 22 08 20 04 06 24 02 18 14 E\n",
      "01 (VWXDJSWEFDCXDWBCLAIG, DCBVPGCUTVWBVCXWNYQS) = 08 06 04 18 06 14 06 16 14 18 20 04 18 06 22 20 02 24 08 12 E\n",
      "02 (DCBVPGCUTVWBVCXWNYQS, RTVHTLTJLHFVHTDFXBRN) = 14 17 20 12 04 05 17 15 18 12 09 20 12 17 06 09 10 03 01 21 M\n",
      "03 (VWXDJSWEFDCXDWBCLAIG, HFDRFNFPNRTDRFVTBXHL) = 12 09 06 14 22 21 09 11 08 14 17 06 14 09 20 17 16 23 25 05 M\n",
      "04 (RTVHTLTJLHFVHTDFXBRN, HFDRFNFPNRTDRFVTBXHL) = 16 12 08 10 12 02 12 06 02 10 14 08 10 12 18 14 04 22 16 24 E\n",
      "05 (HFDRFNFPNRTDRFVTBXHL, RTVHTLTJLHFVHTDFXBRN) = 10 14 18 16 14 24 14 20 24 16 12 18 16 14 08 12 22 04 10 02 E\n",
      "06 (DCBVPGCUTVWBVCXWNYQS, JNRPNXNTXPLRPNHLVDJB) = 06 11 16 20 24 17 11 25 04 20 15 16 20 11 10 15 08 05 19 09 M\n",
      "07 (VWXDJSWEFDCXDWBCLAIG, PLHJLBLFBJNHJLRNDVPX) = 20 15 10 06 02 09 15 01 22 06 11 10 06 15 16 11 18 21 07 17 M\n",
      "08 (RTVHTLTJLHFVHTDFXBRN, PLHJLBLFBJNHJLRNDVPX) = 24 18 12 02 18 16 18 22 16 02 08 12 02 18 14 08 06 20 24 10 E\n",
      "09 (HFDRFNFPNRTDRFVTBXHL, JNRPNXNTXPLRPNHLVDJB) = 02 08 14 24 08 10 08 04 10 24 18 14 24 08 12 18 20 06 02 16 E\n",
      "10 (NQTLDEQORLITLQFIJCAU, PLHJLBLFBJNHJLRNDVPX) = 02 21 14 24 08 23 21 17 10 24 05 14 24 21 12 05 20 19 15 03 M\n",
      "11 (LIFNVUIKHNQFNITQPWYE, JNRPNXNTXPLRPNHLVDJB) = 24 05 12 02 18 03 05 09 16 02 21 12 02 05 14 21 06 07 11 23 M\n",
      "12 (PLHJLBLFBJNHJLRNDVPX, JNRPNXNTXPLRPNHLVDJB) = 20 02 10 06 02 22 02 14 22 06 24 10 06 02 16 24 18 08 20 04 E\n",
      "13 (JNRPNXNTXPLRPNHLVDJB, PLHJLBLFBJNHJLRNDVPX) = 06 24 16 20 24 04 24 12 04 20 02 16 20 24 10 02 08 18 06 22 E\n",
      "14 (DCBVPGCUTVWBVCXWNYQS, TBJFBVBNVFXJFBPXRHTD) = 16 25 08 10 12 15 25 19 02 10 01 08 10 25 18 01 04 09 03 11 M\n",
      "15 (VWXDJSWEFDCXDWBCLAIG, FXPTXDXLDTBPTXJBHRFV) = 10 01 18 16 14 11 01 07 24 16 25 18 16 01 08 25 22 17 23 15 M\n",
      "16 (RTVHTLTJLHFVHTDFXBRN, FXPTXDXLDTBPTXJBHRFV) = 14 04 20 12 04 18 04 02 18 12 22 20 12 04 06 22 10 16 14 08 E\n",
      "17 (HFDRFNFPNRTDRFVTBXHL, TBJFBVBNVFXJFBPXRHTD) = 12 22 06 14 22 08 22 24 08 14 04 06 14 22 20 04 16 10 12 18 E\n",
      "18 (NQTLDEQORLITLQFIJCAU, FXPTXDXLDTBPTXJBHRFV) = 18 07 22 08 20 25 07 23 12 08 19 22 08 07 04 19 24 15 05 01 M\n",
      "19 (LIFNVUIKHNQFNITQPWYE, TBJFBVBNVFXJFBPXRHTD) = 08 19 04 18 06 01 19 03 14 18 07 04 18 19 22 07 02 11 21 25 M\n",
      "20 (PLHJLBLFBJNHJLRNDVPX, TBJFBVBNVFXJFBPXRHTD) = 04 16 02 22 16 20 16 08 20 22 10 02 22 16 24 10 14 12 04 06 E\n",
      "21 (JNRPNXNTXPLRPNHLVDJB, FXPTXDXLDTBPTXJBHRFV) = 22 10 24 04 10 06 10 18 06 04 16 24 04 10 02 16 12 14 22 20 E\n",
      "22 (FKPTXQKYDTOPTKJOHESI, FXPTXDXLDTBPTXJBHRFV) = 26 13 26 26 26 13 13 13 26 26 13 26 26 13 26 13 26 13 13 13 M\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[('DCBVPGCUTVWBVCXWNYQS', 'M'),\n",
       " ('VWXDJSWEFDCXDWBCLAIG', 'M'),\n",
       " ('RTVHTLTJLHFVHTDFXBRN', 'E'),\n",
       " ('HFDRFNFPNRTDRFVTBXHL', 'E'),\n",
       " ('NQTLDEQORLITLQFIJCAU', 'M'),\n",
       " ('LIFNVUIKHNQFNITQPWYE', 'M'),\n",
       " ('PLHJLBLFBJNHJLRNDVPX', 'E'),\n",
       " ('JNRPNXNTXPLRPNHLVDJB', 'E'),\n",
       " ('FKPTXQKYDTOPTKJOHESI', 'M'),\n",
       " ('TOJFBIOAVFKJFOPKRUGQ', 'M'),\n",
       " ('XRLBRPRVPBHLBRNHFTXJ', 'E'),\n",
       " ('BHNXHJHDJXRNXHLRTFBP', 'E'),\n",
       " ('BUNXHWUQJXENXULETSOC', 'M'),\n",
       " ('XELBRCEIPBULBENUFGKW', 'M'),\n",
       " ('TBJFBVBNVFXJFBPXRHTD', 'E'),\n",
       " ('FXPTXDXLDTBPTXJBHRFV', 'E'),\n",
       " ('PYHJLOYSBJAHJYRADICK', 'M'),\n",
       " ('JARPNKAGXPYRPAHYVQWO', 'M'),\n",
       " ('NDTLDRDBRLVTLDFVJPNH', 'E'),\n",
       " ('LVFNVHVXHNDFNVTDPJLR', 'E'),\n",
       " ('RGVHTYGWLHSVHGDSXOEA', 'M'),\n",
       " ('HSDRFASCNRGDRSVGBKUY', 'M'),\n",
       " ('DPBVPTPHTVJBVPXJNLDF', 'E'),\n",
       " ('VJXDJFJRFDPXDJBPLNVT', 'E'),\n",
       " ('ZMZZZMMMZZMZZMZMZMMM', 'M')]"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "distance_calculator('DCBVPGCUTVWBVCXWNYQS', 'VWXDJSWEFDCXDWBCLAIG', as_numbers=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And the final pair?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "00 (UTRNDNNNMJVRRWRJNEGD, EFHLVLLLMPDHHCHPLUSV) = JLPXRXXXZFHPPFPFXPLR E\n",
      "01 (EFHLVLLLMPDHHCHPLUSV, UTRNDNNNMJVRRWRJNEGD) = PNJBHBBBZTRJJTJTBJNH E\n",
      "02 (UTRNDNNNMJVRRWRJNEGD, JLPXRXXXZFHPPFPFXPLR) = ORXJNJJJMVLXXIXVJKEN M\n",
      "03 (EFHLVLLLMPDHHCHPLUSV, PNJBHBBBZTRJJTJTBJNH) = KHBPLPPPMDNBBQBDPOUL M\n",
      "04 (JLPXRXXXZFHPPFPFXPLR, PNJBHBBBZTRJJTJTBJNH) = FBTDPDDDZNJTTNTNDTBP E\n",
      "05 (PNJBHBBBZTRJJTJTBJNH, JLPXRXXXZFHPPFPFXPLR) = TXFVJVVVZLPFFLFLVFXJ E\n",
      "06 (UTRNDNNNMJVRRWRJNEGD, TXFVJVVVZLPFFLFLVFXJ) = YDNHFHHHMBTNNONBHAQF M\n",
      "07 (EFHLVLLLMPDHHCHPLUSV, FBTDPDDDZNJTTNTNDTBP) = AVLRTRRRMXFLLKLXRYIT M\n",
      "08 (JLPXRXXXZFHPPFPFXPLR, FBTDPDDDZNJTTNTNDTBP) = VPDFXFFFZHBDDHDHFDPX E\n",
      "09 (PNJBHBBBZTRJJTJTBJNH, TXFVJVVVZLPFFLFLVFXJ) = DJVTBTTTZRXVVRVRTVJB E\n",
      "10 (ORXJNJJJMVLXXIXVJKEN, FBTDPDDDZNJTTNTNDTBP) = QJVTBTTTMRXVVEVRTIWB M\n",
      "11 (KHBPLPPPMDNBBQBDPOUL, TXFVJVVVZLPFFLFLVFXJ) = IPDFXFFFMHBDDUDHFQCX M\n",
      "12 (FBTDPDDDZNJTTNTNDTBP, TXFVJVVVZLPFFLFLVFXJ) = NVLRTRRRZXFLLXLXRLVT E\n",
      "13 (TXFVJVVVZLPFFLFLVFXJ, FBTDPDDDZNJTTNTNDTBP) = LDNHFHHHZBTNNBNBHNDF E\n",
      "14 (UTRNDNNNMJVRRWRJNEGD, NVLRTRRRZXFLLXLXRLVT) = SBTDPDDDMNJTTATNDGOP M\n",
      "15 (EFHLVLLLMPDHHCHPLUSV, LDNHFHHHZBTNNBNBHNDF) = GXFVJVVVMLPFFYFLVSKJ M\n",
      "16 (JLPXRXXXZFHPPFPFXPLR, LDNHFHHHZBTNNBNBHNDF) = BRXJNJJJZVLXXVXVJXRN E\n",
      "17 (PNJBHBBBZTRJJTJTBJNH, NVLRTRRRZXFLLXLXRLVT) = XHBPLPPPZDNBBDBDPBHL E\n",
      "18 (ORXJNJJJMVLXXIXVJKEN, LDNHFHHHZBTNNBNBHNDF) = WLPXRXXXMFHPPSPFXCYR M\n",
      "19 (KHBPLPPPMDNBBQBDPOUL, NVLRTRRRZXFLLXLXRLVT) = CNJBHBBBMTRJJGJTBWAH M\n",
      "20 (FBTDPDDDZNJTTNTNDTBP, NVLRTRRRZXFLLXLXRLVT) = HTRNDNNNZJVRRJRJNRTD E\n",
      "21 (TXFVJVVVZLPFFLFLVFXJ, LDNHFHHHZBTNNBNBHNDF) = RFHLVLLLZPDHHPHPLHFV E\n",
      "22 (YDNHFHHHMBTNNONBHAQF, LDNHFHHHZBTNNBNBHNDF) = MZZZZZZZMZZZZMZZZMMZ M\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[('UTRNDNNNMJVRRWRJNEGD', 'M'),\n",
       " ('EFHLVLLLMPDHHCHPLUSV', 'M'),\n",
       " ('JLPXRXXXZFHPPFPFXPLR', 'E'),\n",
       " ('PNJBHBBBZTRJJTJTBJNH', 'E'),\n",
       " ('ORXJNJJJMVLXXIXVJKEN', 'M'),\n",
       " ('KHBPLPPPMDNBBQBDPOUL', 'M'),\n",
       " ('FBTDPDDDZNJTTNTNDTBP', 'E'),\n",
       " ('TXFVJVVVZLPFFLFLVFXJ', 'E'),\n",
       " ('YDNHFHHHMBTNNONBHAQF', 'M'),\n",
       " ('AVLRTRRRMXFLLKLXRYIT', 'M'),\n",
       " ('VPDFXFFFZHBDDHDHFDPX', 'E'),\n",
       " ('DJVTBTTTZRXVVRVRTVJB', 'E'),\n",
       " ('QJVTBTTTMRXVVEVRTIWB', 'M'),\n",
       " ('IPDFXFFFMHBDDUDHFQCX', 'M'),\n",
       " ('NVLRTRRRZXFLLXLXRLVT', 'E'),\n",
       " ('LDNHFHHHZBTNNBNBHNDF', 'E'),\n",
       " ('SBTDPDDDMNJTTATNDGOP', 'M'),\n",
       " ('GXFVJVVVMLPFFYFLVSKJ', 'M'),\n",
       " ('BRXJNJJJZVLXXVXVJXRN', 'E'),\n",
       " ('XHBPLPPPZDNBBDBDPBHL', 'E'),\n",
       " ('WLPXRXXXMFHPPSPFXCYR', 'M'),\n",
       " ('CNJBHBBBMTRJJGJTBWAH', 'M'),\n",
       " ('HTRNDNNNZJVRRJRJNRTD', 'E'),\n",
       " ('RFHLVLLLZPDHHPHPLHFV', 'E'),\n",
       " ('MZZZZZZZMZZZZMZZZMMZ', 'M')]"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "distance_calculator('UTRNDNNNMJVRRWRJNEGD', 'EFHLVLLLMPDHHCHPLUSV')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "00 (UTRNDNNNMJVRRWRJNEGD, EFHLVLLLMPDHHCHPLUSV) = 10 12 16 24 18 24 24 24 26 06 08 16 16 06 16 06 24 16 12 18 E\n",
      "01 (EFHLVLLLMPDHHCHPLUSV, UTRNDNNNMJVRRWRJNEGD) = 16 14 10 02 08 02 02 02 26 20 18 10 10 20 10 20 02 10 14 08 E\n",
      "02 (UTRNDNNNMJVRRWRJNEGD, JLPXRXXXZFHPPFPFXPLR) = 15 18 24 10 14 10 10 10 13 22 12 24 24 09 24 22 10 11 05 14 M\n",
      "03 (EFHLVLLLMPDHHCHPLUSV, PNJBHBBBZTRJJTJTBJNH) = 11 08 02 16 12 16 16 16 13 04 14 02 02 17 02 04 16 15 21 12 M\n",
      "04 (JLPXRXXXZFHPPFPFXPLR, PNJBHBBBZTRJJTJTBJNH) = 06 02 20 04 16 04 04 04 26 14 10 20 20 14 20 14 04 20 02 16 E\n",
      "05 (PNJBHBBBZTRJJTJTBJNH, JLPXRXXXZFHPPFPFXPLR) = 20 24 06 22 10 22 22 22 26 12 16 06 06 12 06 12 22 06 24 10 E\n",
      "06 (UTRNDNNNMJVRRWRJNEGD, TXFVJVVVZLPFFLFLVFXJ) = 25 04 14 08 06 08 08 08 13 02 20 14 14 15 14 02 08 01 17 06 M\n",
      "07 (EFHLVLLLMPDHHCHPLUSV, FBTDPDDDZNJTTNTNDTBP) = 01 22 12 18 20 18 18 18 13 24 06 12 12 11 12 24 18 25 09 20 M\n",
      "08 (JLPXRXXXZFHPPFPFXPLR, FBTDPDDDZNJTTNTNDTBP) = 22 16 04 06 24 06 06 06 26 08 02 04 04 08 04 08 06 04 16 24 E\n",
      "09 (PNJBHBBBZTRJJTJTBJNH, TXFVJVVVZLPFFLFLVFXJ) = 04 10 22 20 02 20 20 20 26 18 24 22 22 18 22 18 20 22 10 02 E\n",
      "10 (ORXJNJJJMVLXXIXVJKEN, FBTDPDDDZNJTTNTNDTBP) = 17 10 22 20 02 20 20 20 13 18 24 22 22 05 22 18 20 09 23 02 M\n",
      "11 (KHBPLPPPMDNBBQBDPOUL, TXFVJVVVZLPFFLFLVFXJ) = 09 16 04 06 24 06 06 06 13 08 02 04 04 21 04 08 06 17 03 24 M\n",
      "12 (FBTDPDDDZNJTTNTNDTBP, TXFVJVVVZLPFFLFLVFXJ) = 14 22 12 18 20 18 18 18 26 24 06 12 12 24 12 24 18 12 22 20 E\n",
      "13 (TXFVJVVVZLPFFLFLVFXJ, FBTDPDDDZNJTTNTNDTBP) = 12 04 14 08 06 08 08 08 26 02 20 14 14 02 14 02 08 14 04 06 E\n",
      "14 (UTRNDNNNMJVRRWRJNEGD, NVLRTRRRZXFLLXLXRLVT) = 19 02 20 04 16 04 04 04 13 14 10 20 20 01 20 14 04 07 15 16 M\n",
      "15 (EFHLVLLLMPDHHCHPLUSV, LDNHFHHHZBTNNBNBHNDF) = 07 24 06 22 10 22 22 22 13 12 16 06 06 25 06 12 22 19 11 10 M\n",
      "16 (JLPXRXXXZFHPPFPFXPLR, LDNHFHHHZBTNNBNBHNDF) = 02 18 24 10 14 10 10 10 26 22 12 24 24 22 24 22 10 24 18 14 E\n",
      "17 (PNJBHBBBZTRJJTJTBJNH, NVLRTRRRZXFLLXLXRLVT) = 24 08 02 16 12 16 16 16 26 04 14 02 02 04 02 04 16 02 08 12 E\n",
      "18 (ORXJNJJJMVLXXIXVJKEN, LDNHFHHHZBTNNBNBHNDF) = 23 12 16 24 18 24 24 24 13 06 08 16 16 19 16 06 24 03 25 18 M\n",
      "19 (KHBPLPPPMDNBBQBDPOUL, NVLRTRRRZXFLLXLXRLVT) = 03 14 10 02 08 02 02 02 13 20 18 10 10 07 10 20 02 23 01 08 M\n",
      "20 (FBTDPDDDZNJTTNTNDTBP, NVLRTRRRZXFLLXLXRLVT) = 08 20 18 14 04 14 14 14 26 10 22 18 18 10 18 10 14 18 20 04 E\n",
      "21 (TXFVJVVVZLPFFLFLVFXJ, LDNHFHHHZBTNNBNBHNDF) = 18 06 08 12 22 12 12 12 26 16 04 08 08 16 08 16 12 08 06 22 E\n",
      "22 (YDNHFHHHMBTNNONBHAQF, LDNHFHHHZBTNNBNBHNDF) = 13 26 26 26 26 26 26 26 13 26 26 26 26 13 26 26 26 13 13 26 M\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[('UTRNDNNNMJVRRWRJNEGD', 'M'),\n",
       " ('EFHLVLLLMPDHHCHPLUSV', 'M'),\n",
       " ('JLPXRXXXZFHPPFPFXPLR', 'E'),\n",
       " ('PNJBHBBBZTRJJTJTBJNH', 'E'),\n",
       " ('ORXJNJJJMVLXXIXVJKEN', 'M'),\n",
       " ('KHBPLPPPMDNBBQBDPOUL', 'M'),\n",
       " ('FBTDPDDDZNJTTNTNDTBP', 'E'),\n",
       " ('TXFVJVVVZLPFFLFLVFXJ', 'E'),\n",
       " ('YDNHFHHHMBTNNONBHAQF', 'M'),\n",
       " ('AVLRTRRRMXFLLKLXRYIT', 'M'),\n",
       " ('VPDFXFFFZHBDDHDHFDPX', 'E'),\n",
       " ('DJVTBTTTZRXVVRVRTVJB', 'E'),\n",
       " ('QJVTBTTTMRXVVEVRTIWB', 'M'),\n",
       " ('IPDFXFFFMHBDDUDHFQCX', 'M'),\n",
       " ('NVLRTRRRZXFLLXLXRLVT', 'E'),\n",
       " ('LDNHFHHHZBTNNBNBHNDF', 'E'),\n",
       " ('SBTDPDDDMNJTTATNDGOP', 'M'),\n",
       " ('GXFVJVVVMLPFFYFLVSKJ', 'M'),\n",
       " ('BRXJNJJJZVLXXVXVJXRN', 'E'),\n",
       " ('XHBPLPPPZDNBBDBDPBHL', 'E'),\n",
       " ('WLPXRXXXMFHPPSPFXCYR', 'M'),\n",
       " ('CNJBHBBBMTRJJGJTBWAH', 'M'),\n",
       " ('HTRNDNNNZJVRRJRJNRTD', 'E'),\n",
       " ('RFHLVLLLZPDHHPHPLHFV', 'E'),\n",
       " ('MZZZZZZZMZZZZMZZZMMZ', 'M')]"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "distance_calculator('UTRNDNNNMJVRRWRJNEGD', 'EFHLVLLLMPDHHCHPLUSV', as_numbers=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The part that I find fascinating here is this only occurs on strings that are `Z` mapped to each other.\n",
    "\n",
    "This means that you cannot look across pairs to find a new pattern. Instead, looking across pairs, for example `QQPRNGKSSNYPVTTMZFPK` and `UTRNDNNNMJVRRWRJNEGD`, does not give a new pattern, but will contain all 3 patterns.\n",
    "\n",
    "- `MMZZZMMMMZMZZZZMZZZM` - row 488\n",
    "- `MZZZZZZZMZZZZMZZZMMZ` - row 515\n",
    "- `ZMZZZMMMZZMZZMZMZMMM` - row 540"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "00 (QQPRNGKSSNYPVTTMZFPK, UTRNDNNNMJVRRWRJNEGD) = DCBVPGCUTVWBVCXWNYQS M\n",
      "01 (UTRNDNNNMJVRRWRJNEGD, DCBVPGCUTVWBVCXWNYQS) = IIJHLSOGGLAJDFFMZTJO M\n",
      "02 (DCBVPGCUTVWBVCXWNYQS, IIJHLSOGGLAJDFFMZTJO) = EFHLVLLLMPDHHCHPLUSV M\n",
      "03 (IIJHLSOGGLAJDFFMZTJO, EFHLVLLLMPDHHCHPLUSV) = VWXDJSWEFDCXDWBCLAIG M\n",
      "04 (QQPRNGKSSNYPVTTMZFPK, DCBVPGCUTVWBVCXWNYQS) = MLLDBZRBAHXLZIDJNSAH M\n",
      "05 (IIJHLSOGGLAJDFFMZTJO, VWXDJSWEFDCXDWBCLAIG) = MNNVXZHXYRBNZQVPLGYR M\n",
      "06 (QQPRNGKSSNYPVTTMZFPK, IIJHLSOGGLAJDFFMZTJO) = RRTPXLDNNXBTHLLZZNTD E\n",
      "07 (IIJHLSOGGLAJDFFMZTJO, QQPRNGKSSNYPVTTMZFPK) = HHFJBNVLLBXFRNNZZLFV E\n",
      "08 (QQPRNGKSSNYPVTTMZFPK, EFHLVLLLMPDHHCHPLUSV) = NORTHEASTBERLINCLOCK M\n",
      "09 (IIJHLSOGGLAJDFFMZTJO, UTRNDNNNMJVRRWRJNEGD) = LKHFRUYGFXUHNQLWNKWO M\n",
      "10 (UTRNDNNNMJVRRWRJNEGD, EFHLVLLLMPDHHCHPLUSV) = JLPXRXXXZFHPPFPFXPLR E\n",
      "11 (EFHLVLLLMPDHHCHPLUSV, UTRNDNNNMJVRRWRJNEGD) = PNJBHBBBZTRJJTJTBJNH E\n",
      "12 (UTRNDNNNMJVRRWRJNEGD, VWXDJSWEFDCXDWBCLAIG) = ACFPFEIQSTGFLZJSXVBC M\n",
      "13 (EFHLVLLLMPDHHCHPLUSV, DCBVPGCUTVWBVCXWNYQS) = YWTJTUQIGFSTNZPGBDXW M\n",
      "14 (DCBVPGCUTVWBVCXWNYQS, VWXDJSWEFDCXDWBCLAIG) = RTVHTLTJLHFVHTDFXBRN E\n",
      "15 (VWXDJSWEFDCXDWBCLAIG, DCBVPGCUTVWBVCXWNYQS) = HFDRFNFPNRTDRFVTBXHL E\n",
      "16 (QQPRNGKSSNYPVTTMZFPK, MLLDBZRBAHXLZIDJNSAH) = VUVLNSGIHTYVDOJWNMKW M\n",
      "17 (IIJHLSOGGLAJDFFMZTJO, MNNVXZHXYRBNZQVPLGYR) = DEDNLGSQRFADVKPCLMOC M\n",
      "18 (QQPRNGKSSNYPVTTMZFPK, RRTPXLDNNXBTHLLZZNTD) = AADXJESUUJCDLRRMZHDS M\n",
      "19 (IIJHLSOGGLAJDFFMZTJO, HHFJBNVLLBXFRNNZZLFV) = YYVBPUGEEPWVNHHMZRVG M\n",
      "20 (QQPRNGKSSNYPVTTMZFPK, NORTHEASTBERLINCLOCK) = WXBBTXPZANFBPOTPLIMZ M\n",
      "21 (IIJHLSOGGLAJDFFMZTJO, LKHFRUYGFXUHNQLWNKWO) = CBXXFBJZYLTXJKFJNQMZ M\n",
      "22 (QQPRNGKSSNYPVTTMZFPK, JLPXRXXXZFHPPFPFXPLR) = SUZFDQMEGRIZTLVSXJVG M\n",
      "23 (IIJHLSOGGLAJDFFMZTJO, PNJBHBBBZTRJJTJTBJNH) = GEZTVIMUSHQZFNDGBPDS M\n",
      "24 (QQPRNGKSSNYPVTTMZFPK, HFDRFNFPNRTDRFVTBXHL) = QONZRGUWUDUNVLBGBRRA M\n",
      "25 (IIJHLSOGGLAJDFFMZTJO, RTVHTLTJLHFVHTDFXBRN) = IKLZHSECEVELDNXSXHHY M\n",
      "26 (UTRNDNNNMJVRRWRJNEGD, JLPXRXXXZFHPPFPFXPLR) = ORXJNJJJMVLXXIXVJKEN M\n",
      "27 (EFHLVLLLMPDHHCHPLUSV, PNJBHBBBZTRJJTJTBJNH) = KHBPLPPPMDNBBQBDPOUL M\n",
      "28 (UTRNDNNNMJVRRWRJNEGD, ACFPFEIQSTGFLZJSXVBC) = FINBBQUCFJKNTCRIJQUY M\n",
      "29 (EFHLVLLLMPDHHCHPLUSV, YWTJTUQIGFSTNZPGBDXW) = TQLXXIEWTPOLFWHQPIEA M\n",
      "30 (UTRNDNNNMJVRRWRJNEGD, RTVHTLTJLHFVHTDFXBRN) = WZDTPXFVYXJDPWLVJWKJ M\n",
      "31 (EFHLVLLLMPDHHCHPLUSV, HFDRFNFPNRTDRFVTBXHL) = CZVFJBTDABPVJCNDPCOP M\n",
      "32 (DCBVPGCUTVWBVCXWNYQS, RTVHTLTJLHFVHTDFXBRN) = NQTLDEQORLITLQFIJCAU M\n",
      "33 (VWXDJSWEFDCXDWBCLAIG, HFDRFNFPNRTDRFVTBXHL) = LIFNVUIKHNQFNITQPWYE M\n",
      "34 (MLLDBZRBAHXLZIDJNSAH, MNNVXZHXYRBNZQVPLGYR) = ZBBRVZPVXJDBZHRFXNXJ E\n",
      "35 (MNNVXZHXYRBNZQVPLGYR, MLLDBZRBAHXLZIDJNSAH) = ZXXHDZJDBPVXZRHTBLBP E\n",
      "36 (MLLDBZRBAHXLZIDJNSAH, HHFJBNVLLBXFRNNZZLFV) = UVTFZNDJKTZTREJPLSEN M\n",
      "37 (MNNVXZHXYRBNZQVPLGYR, RRTPXLDNNXBTHLLZZNTD) = EDFTZLVPOFZFHUPJNGUL M\n",
      "38 (MLLDBZRBAHXLZIDJNSAH, RTVHTLTJLHFVHTDFXBRN) = EHJDRLBHKZHJHKZVJIQF M\n",
      "39 (MNNVXZHXYRBNZQVPLGYR, HFDRFNFPNRTDRFVTBXHL) = URPVHNXROZRPROZDPQIT M\n",
      "40 (RRTPXLDNNXBTHLLZZNTD, HHFJBNVLLBXFRNNZZLFV) = PPLTDBRXXDVLJBBZZXLR E\n",
      "41 (HHFJBNVLLBXFRNNZZLFV, RRTPXLDNNXBTHLLZZNTD) = JJNFVXHBBVDNPXXZZBNH E\n",
      "42 (RRTPXLDNNXBTHLLZZNTD, LKHFRUYGFXUHNQLWNKWO) = TSNPTIUSRZSNFEZWNWCK M\n",
      "43 (HHFJBNVLLBXFRNNZZLFV, NORTHEASTBERLINCLOCK) = FGLJFQEGHZGLTUZCLCWO M\n",
      "44 (RRTPXLDNNXBTHLLZZNTD, PNJBHBBBZTRJJTJTBJNH) = XVPLJPXNLVPPBHXTBVTD E\n",
      "45 (HHFJBNVLLBXFRNNZZLFV, JLPXRXXXZFHPPFPFXPLR) = BDJNPJBLNDJJXRBFXDFV E\n",
      "46 (NORTHEASTBERLINCLOCK, PNJBHBBBZTRJJTJTBJNH) = BYRHZWAIFRMRXKVQPUKW M\n",
      "47 (LKHFRUYGFXUHNQLWNKWO, JLPXRXXXZFHPPFPFXPLR) = XAHRZCYQTHMHBODIJEOC M\n",
      "48 (JLPXRXXXZFHPPFPFXPLR, PNJBHBBBZTRJJTJTBJNH) = FBTDPDDDZNJTTNTNDTBP E\n",
      "49 (PNJBHBBBZTRJJTJTBJNH, JLPXRXXXZFHPPFPFXPLR) = TXFVJVVVZLPFFLFLVFXJ E\n",
      "50 (JLPXRXXXZFHPPFPFXPLR, YWTJTUQIGFSTNZPGBDXW) = OKDLBWSKGZKDXTZADNLE M\n",
      "51 (PNJBHBBBZTRJJTJTBJNH, ACFPFEIQSTGFLZJSXVBC) = KOVNXCGOSZOVBFZYVLNU M\n",
      "52 (JLPXRXXXZFHPPFPFXPLR, HFDRFNFPNRTDRFVTBXHL) = XTNTNPHRNLLNBZFNDHVT E\n",
      "53 (PNJBHBBBZTRJJTJTBJNH, RTVHTLTJLHFVHTDFXBRN) = BFLFLJRHLNNLXZTLVRDF E\n",
      "54 (ACFPFEIQSTGFLZJSXVBC, HFDRFNFPNRTDRFVTBXHL) = GCXBZIWYUXMXFFLADBFI M\n",
      "55 (YWTJTUQIGFSTNZPGBDXW, RTVHTLTJLHFVHTDFXBRN) = SWBXZQCAEBMBTTNYVXTQ M\n",
      "56 (RTVHTLTJLHFVHTDFXBRN, HFDRFNFPNRTDRFVTBXHL) = PLHJLBLFBJNHJLRNDVPX E\n",
      "57 (HFDRFNFPNRTDRFVTBXHL, RTVHTLTJLHFVHTDFXBRN) = JNRPNXNTXPLRPNHLVDJB E\n",
      "58 (QQPRNGKSSNYPVTTMZFPK, ZXXHDZJDBPVXZRHTBLBP) = IGHPPSYKIBWHDXNGBFLE M\n",
      "59 (IIJHLSOGGLAJDFFMZTJO, ZBBRVZPVXJDBZHRFXNXJ) = QSRJJGAOQXCRVBLSXTNU M\n",
      "60 (QQPRNGKSSNYPVTTMZFPK, EDFTZLVPOFZFHUPJNGUL) = NMPBLEKWVRAPLAVWNAEA M\n",
      "61 (IIJHLSOGGLAJDFFMZTJO, UVTFZNDJKTZTREJPLSEN) = LMJXNUOCDHYJNYDCLYUY M\n",
      "62 (QQPRNGKSSNYPVTTMZFPK, URPVHNXROZRPROZDPQIT) = DAZDTGMYVLSZVUFQPKSI M\n",
      "63 (IIJHLSOGGLAJDFFMZTJO, EHJDRLBHKZHJHKZVJIQF) = VYZVFSMADNGZDETIJOGQ M\n",
      "64 (QQPRNGKSSNYPVTTMZFPK, JJNFVXHBBVDNPXXZZBNH) = SSXNHQWIIHEXTDDMZVXW M\n",
      "65 (IIJHLSOGGLAJDFFMZTJO, PPLTDBRXXDVLJBBZZXLR) = GGBLRICQQRUBFVVMZDBC M\n",
      "66 (QQPRNGKSSNYPVTTMZFPK, FGLJFQEGHZGLTUZCLCWO) = OPVRRJTNOLHVXAFPLWGD M\n",
      "67 (IIJHLSOGGLAJDFFMZTJO, TSNPTIUSRZSNFEZWNWCK) = KJDHHPFLKNRDBYTJNCSV M\n",
      "68 (QQPRNGKSSNYPVTTMZFPK, BDJNPJBLNDJJXRBFXDFV) = KMTVBCQSUPKTBXHSXXPK M\n",
      "69 (IIJHLSOGGLAJDFFMZTJO, XVPLJPXNLVPPBHXTBVTD) = OMFDXWIGEJOFXBRGBBJO M\n",
      "70 (QQPRNGKSSNYPVTTMZFPK, XAHRZCYQTHMHBODIJEOC) = GJRZLVNXATNRFUJVJYYR M\n",
      "71 (IIJHLSOGGLAJDFFMZTJO, BYRHZWAIFRMRXKVQPUKW) = SPHZNDLBYFLHTEPDPAAH M\n",
      "72 (QQPRNGKSSNYPVTTMZFPK, TXFVJVVVZLPFFLFLVFXJ) = CGPDVOKCGXQPJRLYVZHY M\n",
      "73 (IIJHLSOGGLAJDFFMZTJO, FBTDPDDDZNJTTNTNDTBP) = WSJVDKOWSBIJPHNADZRA M\n",
      "74 (QQPRNGKSSNYPVTTMZFPK, PLHJLBLFBJNHJLRNDVPX) = YURRXUAMIVORNRXADPZM M\n",
      "75 (IIJHLSOGGLAJDFFMZTJO, JNRPNXNTXPLRPNHLVDJB) = AEHHBEYMQDKHLHBYVJZM M\n",
      "76 (UTRNDNNNMJVRRWRJNEGD, TXFVJVVVZLPFFLFLVFXJ) = YDNHFHHHMBTNNONBHAQF M\n",
      "77 (EFHLVLLLMPDHHCHPLUSV, FBTDPDDDZNJTTNTNDTBP) = AVLRTRRRMXFLLKLXRYIT M\n",
      "78 (UTRNDNNNMJVRRWRJNEGD, KOVNXCGOSZOVBFZYVLNU) = PUDZTOSAFPSDJIHOHGGQ M\n",
      "79 (EFHLVLLLMPDHHCHPLUSV, OKDLBWSKGZKDXTZADNLE) = JEVZFKGYTJGVPQRKRSSI M\n",
      "80 (UTRNDNNNMJVRRWRJNEGD, BFLFLJRHLNNLXZTLVRDF) = GLTRHVDTYDRTFCBBHMWB M\n",
      "81 (EFHLVLLLMPDHHCHPLUSV, XTNTNPHRNLLNBZFNDHVT) = SNFHRDVFAVHFTWXXRMCX M\n",
      "82 (UTRNDNNNMJVRRWRJNEGD, SWBXZQCAEBMBTTNYVXTQ) = XCJJVCOMRRQJBWVOHSMM M\n",
      "83 (EFHLVLLLMPDHHCHPLUSV, GCXBZIWYUXMXFFLADBFI) = BWPPDWKMHHIPXCDKRGMM M\n",
      "84 (UTRNDNNNMJVRRWRJNEGD, JNRPNXNTXPLRPNHLVDJB) = OTZBJJZFKFPZXQPBHYCX M\n",
      "85 (EFHLVLLLMPDHHCHPLUSV, PLHJLBLFBJNHJLRNDVPX) = KFZXPPZTOTJZBIJXRAWB M\n",
      "86 (DCBVPGCUTVWBVCXWNYQS, JNRPNXNTXPLRPNHLVDJB) = FKPTXQKYDTOPTKJOHESI M\n",
      "87 (VWXDJSWEFDCXDWBCLAIG, PLHJLBLFBJNHJLRNDVPX) = TOJFBIOAVFKJFOPKRUGQ M\n",
      "88 (MLLDBZRBAHXLZIDJNSAH, ZBBRVZPVXJDBZHRFXNXJ) = MPPNTZXTWBFPZYNVJUWB M\n",
      "89 (MNNVXZHXYRBNZQVPLGYR, ZXXHDZJDBPVXZRHTBLBP) = MJJLFZBFCXTJZALDPECX M\n",
      "90 (MLLDBZRBAHXLZIDJNSAH, UVTFZNDJKTZTREJPLSEN) = HJHBXNLHJLBHRVFFXZDF E\n",
      "91 (MNNVXZHXYRBNZQVPLGYR, EDFTZLVPOFZFHUPJNGUL) = RPRXBLNRPNXRHDTTBZVT E\n",
      "92 (MLLDBZRBAHXLZIDJNSAH, EHJDRLBHKZHJHKZVJIQF) = RVXZPLJFJRJXHBVLVPPX E\n",
      "93 (MNNVXZHXYRBNZQVPLGYR, URPVHNXROZRPROZDPQIT) = HDBZJNPTPHPBRXDNDJJB E\n",
      "94 (MLLDBZRBAHXLZIDJNSAH, PPLTDBRXXDVLJBBZZXLR) = CDZPBBZVWVXZJSXPLEKJ M\n",
      "95 (MNNVXZHXYRBNZQVPLGYR, JJNFVXHBBVDNPXXZZBNH) = WVZJXXZDCDBZPGBJNUOP M\n",
      "96 (MLLDBZRBAHXLZIDJNSAH, JNRPNXNTXPLRPNHLVDJB) = WBFLLXVRWHNFPEDBHKIT M\n",
      "97 (MNNVXZHXYRBNZQVPLGYR, PLHJLBLFBJNHJLRNDVPX) = CXTNNBDHCRLTJUVXROQF M\n",
      "98 (RRTPXLDNNXBTHLLZZNTD, PPLTDBRXXDVLJBBZZXLR) = XXRDFPNJJFTRBPPZZJRN E\n",
      "99 (HHFJBNVLLBXFRNNZZLFV, JJNFVXHBBVDNPXXZZBNH) = BBHVTJLPPTFHXJJZZPHL E\n",
      "100 (RRTPXLDNNXBTHLLZZNTD, TSNPTIUSRZSNFEZWNWCK) = BATZVWQEDBQTXSNWNIIG M\n",
      "101 (HHFJBNVLLBXFRNNZZLFV, FGLJFQEGHZGLTUZCLCWO) = XYFZDCIUVXIFBGLCLQQS M\n",
      "102 (RRTPXLDNNXBTHLLZZNTD, XVPLJPXNLVPPBHXTBVTD) = FDVVLDTZXXNVTVLTBHZZ E\n",
      "103 (HHFJBNVLLBXFRNNZZLFV, BDJNPJBLNDJJXRBFXDFV) = TVDDNVFZBBLDFDNFXRZZ E\n",
      "104 (RRTPXLDNNXBTHLLZZNTD, BYRHZWAIFRMRXKVQPUKW) = JGXRBKWURTKXPYJQPGQS M\n",
      "105 (HHFJBNVLLBXFRNNZZLFV, XAHRZCYQTHMHBODIJEOC) = PSBHXOCEHFOBJAPIJSIG M\n",
      "106 (RRTPXLDNNXBTHLLZZNTD, FBTDPDDDZNJTTNTNDTBP) = NJZNRRZPLPHZLBHNDFHL E\n",
      "107 (HHFJBNVLLBXFRNNZZLFV, TXFVJVVVZLPFFLFLVFXJ) = LPZLHHZJNJRZNXRLVTRN E\n",
      "108 (NORTHEASTBERLINCLOCK, FBTDPDDDZNJTTNTNDTBP) = RMBJHYCKFLEBHEFKREYE M\n",
      "109 (LKHFRUYGFXUHNQLWNKWO, TXFVJVVVZLPFFLFLVFXJ) = HMXPRAWOTNUXRUTOHUAU M\n",
      "110 (JLPXRXXXZFHPPFPFXPLR, FBTDPDDDZNJTTNTNDTBP) = VPDFXFFFZHBDDHDHFDPX E\n",
      "111 (PNJBHBBBZTRJJTJTBJNH, TXFVJVVVZLPFFLFLVFXJ) = DJVTBTTTZRXVVRVRTVJB E\n",
      "112 (JLPXRXXXZFHPPFPFXPLR, OKDLBWSKGZKDXTZADNLE) = EYNNJYUMGTCNHNJUFXZM M\n",
      "113 (PNJBHBBBZTRJJTJTBJNH, KOVNXCGOSZOVBFZYVLNU) = UALLPAEMSFWLRLPETBZM M\n",
      "114 (JLPXRXXXZFHPPFPFXPLR, XTNTNPHRNLLNBZFNDHVT) = NHXVVRJTNFDXLTPHFRJB E\n",
      "115 (PNJBHBBBZTRJJTJTBJNH, BFLFLJRHLNNLXZTLVRDF) = LRBDDHPFLTVBNFJRTHPX E\n",
      "116 (JLPXRXXXZFHPPFPFXPLR, GCXBZIWYUXMXFFLADBFI) = WQHDHKYAUREHPZVUFLTQ M\n",
      "117 (PNJBHBBBZTRJJTJTBJNH, SWBXZQCAEBMBTTNYVXTQ) = CIRVROAYEHURJZDETNFI M\n",
      "118 (JLPXRXXXZFHPPFPFXPLR, PLHJLBLFBJNHJLRNDVPX) = FZRLTDNHBDFRTFBHFFDF E\n",
      "119 (PNJBHBBBZTRJJTJTBJNH, JNRPNXNTXPLRPNHLVDJB) = TZHNFVLRXVTHFTXRTTVT E\n",
      "120 (ACFPFEIQSTGFLZJSXVBC, PLHJLBLFBJNHJLRNDVPX) = OIBTFWCOIPGBXLHUFZNU M\n",
      "121 (YWTJTUQIGFSTNZPGBDXW, JNRPNXNTXPLRPNHLVDJB) = KQXFTCWKQJSXBNRETZLE M\n",
      "122 (RTVHTLTJLHFVHTDFXBRN, PLHJLBLFBJNHJLRNDVPX) = XRLBRPRVPBHLBRNHFTXJ E\n",
      "123 (HFDRFNFPNRTDRFVTBXHL, JNRPNXNTXPLRPNHLVDJB) = BHNXHJHDJXRNXHLRTFBP E\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "124 (VUVLNSGIHTYVDOJWNMKW, ZBBRVZPVXJDBZHRFXNXJ) = DGFFHGIMPPEFVSHIJAMM M\n",
      "125 (DEDNLGSQRFADVKPCLMOC, ZXXHDZJDBPVXZRHTBLBP) = VSTTRSQMJJUTDGRQPYMM M\n",
      "126 (VUVLNSGIHTYVDOJWNMKW, UVTFZNDJKTZTREJPLSEN) = YAXTLUWACZAXNPZSXFTQ M\n",
      "127 (DEDNLGSQRFADVKPCLMOC, EDFTZLVPOFZFHUPJNGUL) = AYBFNECYWZYBLJZGBTFI M\n",
      "128 (VUVLNSGIHTYVDOJWNMKW, EHJDRLBHKZHJHKZVJIQF) = IMNRDSUYCFINDVPYVVFI M\n",
      "129 (DEDNLGSQRFADVKPCLMOC, URPVHNXROZRPROZDPQIT) = QMLHVGEAWTQLVDJADDTQ M\n",
      "130 (VUVLNSGIHTYVDOJWNMKW, PPLTDBRXXDVLJBBZZXLR) = TUPHPIKOPJWPFMRCLKAU M\n",
      "131 (DEDNLGSQRFADVKPCLMOC, JJNFVXHBBVDNPXXZZBNH) = FEJRJQOKJPCJTMHWNOYE M\n",
      "132 (VUVLNSGIHTYVDOJWNMKW, JNRPNXNTXPLRPNHLVDJB) = NSVDZEGKPVMVLYXOHQYE M\n",
      "133 (DEDNLGSQRFADVKPCLMOC, PLHJLBLFBJNHJLRNDVPX) = LGDVZUSOJDMDNABKRIAU M\n",
      "134 (AADXJESUUJCDLRRMZHDS, PPLTDBRXXDVLJBBZZXLR) = OOHVTWYCCTSHXJJMZPHY M\n",
      "135 (YYVBPUGEEPWVNHHMZRVG, JJNFVXHBBVDNPXXZZBNH) = KKRDFCAWWFGRBPPMZJRA M\n",
      "136 (AADXJESUUJCDLRRMZHDS, TSNPTIUSRZSNFEZWNWCK) = SRJRJDBXWPPJTMHJNOYR M\n",
      "137 (YYVBPUGEEPWVNHHMZRVG, FGLJFQEGHZGLTUZCLCWO) = GHPHPVXBCJJPFMRPLKAH M\n",
      "138 (AADXJESUUJCDLRRMZHDS, XVPLJPXNLVPPBHXTBVTD) = WULNZKESQLMLPPFGBNPK M\n",
      "139 (YYVBPUGEEPWVNHHMZRVG, BDJNPJBLNDJJXRBFXDFV) = CENLZOUGINMNJJTSXLJO M\n",
      "140 (AADXJESUUJCDLRRMZHDS, BYRHZWAIFRMRXKVQPUKW) = AXNJPRHNKHJNLSDDPMGD M\n",
      "141 (YYVBPUGEEPWVNHHMZRVG, XAHRZCYQTHMHBODIJEOC) = YBLPJHRLORPLNGVVJMSV M\n",
      "142 (AADXJESUUJCDLRRMZHDS, FBTDPDDDZNJTTNTNDTBP) = EAPFFYKIEDGPHVBADLXW M\n",
      "143 (YYVBPUGEEPWVNHHMZRVG, TXFVJVVVZLPFFLFLVFXJ) = UYJTTAOQUVSJRDXYVNBC M\n",
      "144 (WXBBTXPZANFBPOTPLIMZ, FBTDPDDDZNJTTNTNDTBP) = IDRBVFNDYZDRDYZXRKOP M\n",
      "145 (CBXXFBJZYLTXJKFJNQMZ, TXFVJVVVZLPFFLFLVFXJ) = QVHXDTLVAZVHVAZBHOKJ M\n",
      "146 (SUZFDQMEGRIZTLVSXJVG, FBTDPDDDZNJTTNTNDTBP) = MGTXLMQYSVATZBXUFJFI M\n",
      "147 (GEZTVIMUSHQZFNDGBPDS, TXFVJVVVZLPFFLFLVFXJ) = MSFBNMIAGDYFZXBETPTQ M\n",
      "148 (QONZRGUWUDUNVLBGBRRA, JNRPNXNTXPLRPNHLVDJB) = SYDPVQSWCLQDTBFETLRA M\n",
      "149 (IKLZHSECEVELDNXSXHHY, PLHJLBLFBJNHJLRNDVPX) = GAVJDIGCWNIVFXTUFNHY M\n",
      "150 (ORXJNJJJMVLXXIXVJKEN, FBTDPDDDZNJTTNTNDTBP) = QJVTBTTTMRXVVEVRTIWB M\n",
      "151 (KHBPLPPPMDNBBQBDPOUL, TXFVJVVVZLPFFLFLVFXJ) = IPDFXFFFMHBDDUDHFQCX M\n",
      "152 (ORXJNJJJMVLXXIXVJKEN, OKDLBWSKGZKDXTZADNLE) = ZSFBNMIATDYFZKBETCGQ M\n",
      "153 (KHBPLPPPMDNBBQBDPOUL, KOVNXCGOSZOVBFZYVLNU) = ZGTXLMQYFVATZOXUFWSI M\n",
      "154 (ORXJNJJJMVLXXIXVJKEN, XTNTNPHRNLLNBZFNDHVT) = IBPJZFXHAPZPDQHRTWQF M\n",
      "155 (KHBPLPPPMDNBBQBDPOUL, BFLFLJRHLNNLXZTLVRDF) = QXJPZTBRYJZJVIRHFCIT M\n",
      "156 (ORXJNJJJMVLXXIXVJKEN, GCXBZIWYUXMXFFLADBFI) = RKZRLYMOHBAZHWNETQAU M\n",
      "157 (KHBPLPPPMDNBBQBDPOUL, SWBXZQCAEBMBTTNYVXTQ) = HOZHNAMKRXYZRCLUFIYE M\n",
      "158 (ORXJNJJJMVLXXIXVJKEN, PLHJLBLFBJNHJLRNDVPX) = ATJZXRBVONBJLCTRTKKJ M\n",
      "159 (KHBPLPPPMDNBBQBDPOUL, JNRPNXNTXPLRPNHLVDJB) = YFPZBHXDKLXPNWFHFOOP M\n",
      "160 (FINBBQUCFJKNTCRIJQUY, PLHJLBLFBJNHJLRNDVPX) = JCTHJKQCVZCTPIZETEUY M\n",
      "161 (TQLXXIEWTPOLFWHQPIEA, JNRPNXNTXPLRPNHLVDJB) = PWFRPOIWDZWFJQZUFUEA M\n",
      "162 (WZDTPXFVYXJDPWLVJWKJ, PLHJLBLFBJNHJLRNDVPX) = SLDPVDFJCLDDTOFRTYEN M\n",
      "163 (CZVFJBTDABPVJCNDPCOP, JNRPNXNTXPLRPNHLVDJB) = GNVJDVTPWNVVFKTHFAUL M\n",
      "164 (NQTLDEQORLITLQFIJCAU, PLHJLBLFBJNHJLRNDVPX) = BUNXHWUQJXENXULETSOC M\n",
      "165 (LIFNVUIKHNQFNITQPWYE, JNRPNXNTXPLRPNHLVDJB) = XELBRCEIPBULBENUFGKW M\n",
      "166 (ZBBRVZPVXJDBZHRFXNXJ, ZXXHDZJDBPVXZRHTBLBP) = ZVVPHZTHDFRVZJPNDXDF E\n",
      "167 (ZXXHDZJDBPVXZRHTBLBP, ZBBRVZPVXJDBZHRFXNXJ) = ZDDJRZFRVTHDZPJLVBVT E\n",
      "168 (ZBBRVZPVXJDBZHRFXNXJ, EDFTZLVPOFZFHUPJNGUL) = EBDBDLFTQVVDHMXDPSWB M\n",
      "169 (ZXXHDZJDBPVXZRHTBLBP, UVTFZNDJKTZTREJPLSEN) = UXVXVNTFIDDVRMBVJGCX M\n",
      "170 (ZBBRVZPVXJDBZHRFXNXJ, URPVHNXROZRPROZDPQIT) = UPNDLNHVQPNNRGHXRCKJ M\n",
      "171 (ZXXHDZJDBPVXZRHTBLBP, EHJDRLBHKZHJHKZVJIQF) = EJLVNLRDIJLLHSRBHWOP M\n",
      "172 (ZBBRVZPVXJDBZHRFXNXJ, JJNFVXHBBVDNPXXZZBNH) = JHLNZXRFDLZLPPFTBNPX E\n",
      "173 (ZXXHDZJDBPVXZRHTBLBP, PPLTDBRXXDVLJBBZZXLR) = PRNLZBHTVNZNJJTFXLJB E\n",
      "174 (ZBBRVZPVXJDBZHRFXNXJ, PLHJLBLFBJNHJLRNDVPX) = PJFRPBVJDZJFJDZHFHRN E\n",
      "175 (ZXXHDZJDBPVXZRHTBLBP, JNRPNXNTXPLRPNHLVDJB) = JPTHJXDPVZPTPVZRTRHL E\n",
      "176 (UVTFZNDJKTZTREJPLSEN, JJNFVXHBBVDNPXXZZBNH) = ONTZVJDRQBDTXSNJNIIT M\n",
      "177 (EDFTZLVPOFZFHUPJNGUL, PPLTDBRXXDVLJBBZZXLR) = KLFZDPVHIXVFBGLPLQQF M\n",
      "178 (EHJDRLBHKZHJHKZVJIQF, PLHJLBLFBJNHJLRNDVPX) = KDXFTPJXQJFXBARRTMYR M\n",
      "179 (URPVHNXROZRPROZDPQIT, JNRPNXNTXPLRPNHLVDJB) = OVBTFJPBIPTBXYHHFMAH M\n",
      "180 (PPLTDBRXXDVLJBBZZXLR, JJNFVXHBBVDNPXXZZBNH) = TTBLRVPDDRHBFVVZZDBP E\n",
      "181 (JJNFVXHBBVDNPXXZZBNH, PPLTDBRXXDVLJBBZZXLR) = FFXNHDJVVHRXTDDZZVXJ E\n",
      "182 (PPLTDBRXXDVLJBBZZXLR, FGLJFQEGHZGLTUZCLCWO) = PQZPBOMIJVKZJSXCLEKW M\n",
      "183 (JJNFVXHBBVDNPXXZZBNH, TSNPTIUSRZSNFEZWNWCK) = JIZJXKMQPDOZPGBWNUOC M\n",
      "184 (PPLTDBRXXDVLJBBZZXLR, BDJNPJBLNDJJXRBFXDFV) = LNXTLHJNPZNXNPZFXFTD E\n",
      "185 (JJNFVXHBBVDNPXXZZBNH, XVPLJPXNLVPPBHXTBVTD) = NLBFNRPLJZLBLJZTBTFV E\n",
      "186 (PPLTDBRXXDVLJBBZZXLR, XAHRZCYQTHMHBODIJEOC) = HKVXVAGSVDQVRMBIJGCK M\n",
      "187 (JJNFVXHBBVDNPXXZZBNH, BYRHZWAIFRMRXKVQPUKW) = RODBDYSGDVIDHMXQPSWO M\n",
      "188 (PPLTDBRXXDVLJBBZZXLR, TXFVJVVVZLPFFLFLVFXJ) = DHTBFTDXBHTTVJDLVHLR E\n",
      "189 (JJNFVXHBBVDNPXXZZBNH, FBTDPDDDZNJTTNTNDTBP) = VRFXTFVBXRFFDPVNDRNH E\n",
      "190 (TSNPTIUSRZSNFEZWNWCK, TXFVJVVVZLPFFLFLVFXJ) = ZERFPMACHLWRZGFOHIUY M\n",
      "191 (FGLJFQEGHZGLTUZCLCWO, FBTDPDDDZNJTTNTNDTBP) = ZUHTJMYWRNCHZSTKRQEA M\n",
      "192 (XVPLJPXNLVPPBHXTBVTD, TXFVJVVVZLPFFLFLVFXJ) = VBPJZFXHNPZPDDHRTJDF E\n",
      "193 (BDJNPJBLNDJJXRBFXDFV, FBTDPDDDZNJTTNTNDTBP) = DXJPZTBRLJZJVVRHFPVT E\n",
      "194 (BYRHZWAIFRMRXKVQPUKW, TXFVJVVVZLPFFLFLVFXJ) = RYNNJYUMTTCNHAJUFKMM M\n",
      "195 (XAHRZCYQTHMHBODIJEOC, FBTDPDDDZNJTTNTNDTBP) = HALLPAEMFFWLRYPETOMM M\n",
      "196 (FBTDPDDDZNJTTNTNDTBP, TXFVJVVVZLPFFLFLVFXJ) = NVLRTRRRZXFLLXLXRLVT E\n",
      "197 (TXFVJVVVZLPFFLFLVFXJ, FBTDPDDDZNJTTNTNDTBP) = LDNHFHHHZBTNNBNBHNDF E\n",
      "198 (FBTDPDDDZNJTTNTNDTBP, KOVNXCGOSZOVBFZYVLNU) = EMBJHYCKSLEBHRFKRRLE M\n",
      "199 (TXFVJVVVZLPFFLFLVFXJ, OKDLBWSKGZKDXTZADNLE) = UMXPRAWOGNUXRHTOHHNU M\n",
      "200 (FBTDPDDDZNJTTNTNDTBP, BFLFLJRHLNNLXZTLVRDF) = VDRBVFNDLZDRDLZXRXBP E\n",
      "201 (TXFVJVVVZLPFFLFLVFXJ, XTNTNPHRNLLNBZFNDHVT) = DVHXDTLVNZVHVNZBHBXJ E\n",
      "202 (FBTDPDDDZNJTTNTNDTBP, SWBXZQCAEBMBTTNYVXTQ) = MUHTJMYWENCHZFTKRDRA M\n",
      "203 (TXFVJVVVZLPFFLFLVFXJ, GCXBZIWYUXMXFFLADBFI) = MERFPMACULWRZTFOHVHY M\n",
      "204 (FBTDPDDDZNJTTNTNDTBP, JNRPNXNTXPLRPNHLVDJB) = DLXLXTJPXBBXVZNXRJHL E\n",
      "205 (TXFVJVVVZLPFFLFLVFXJ, PLHJLBLFBJNHJLRNDVPX) = VNBNBFPJBXXBDZLBHPRN E\n",
      "206 (OKDLBWSKGZKDXTZADNLE, JNRPNXNTXPLRPNHLVDJB) = UCNDLAUIQPANRTHKRPXW M\n",
      "207 (KOVNXCGOSZOVBFZYVLNU, PLHJLBLFBJNHJLRNDVPX) = EWLVNYEQIJYLHFROHJBC M\n",
      "208 (XTNTNPHRNLLNBZFNDHVT, JNRPNXNTXPLRPNHLVDJB) = LTDVZHFBJDZDNNBXRVNH E\n",
      "209 (BFLFLJRHLNNLXZTLVRDF, PLHJLBLFBJNHJLRNDVPX) = NFVDZRTXPVZVLLXBHDLR E\n",
      "210 (GCXBZIWYUXMXFFLADBFI, JNRPNXNTXPLRPNHLVDJB) = CKTNNOQUCRYTJHVKRBDS M\n",
      "211 (SWBXZQCAEBMBTTNYVXTQ, PLHJLBLFBJNHJLRNDVPX) = WOFLLKIEWHAFPRDOHXVG M\n",
      "212 (PLHJLBLFBJNHJLRNDVPX, JNRPNXNTXPLRPNHLVDJB) = TBJFBVBNVFXJFBPXRHTD E\n",
      "213 (JNRPNXNTXPLRPNHLVDJB, PLHJLBLFBJNHJLRNDVPX) = FXPTXDXLDTBPTXJBHRFV E\n",
      "214 (QQPRNGKSSNYPVTTMZFPK, ZVVPHZTHDFRVZJPNDXDF) = IEFXTSIOKRSFDPVADRNU M\n",
      "215 (IIJHLSOGGLAJDFFMZTJO, ZDDJRZFRVTHDZPJLVBVT) = QUTBFGQKOHGTVJDYVHLE M\n",
      "216 (QQPRNGKSSNYPVTTMZFPK, EBDBDLFTQVVDHMXDPSWB) = NKNJPEUAXHWNLSDQPMGQ M\n",
      "217 (IIJHLSOGGLAJDFFMZTJO, UXVXVNTFIDDVRMBVJGCX) = LOLPJUEYBRCLNGVIJMSI M\n",
      "218 (QQPRNGKSSNYPVTTMZFPK, UPNDLNHVQPNNRGHXRCKJ) = DYXLXGWCXBOXVMNKRWUY M\n",
      "219 (IIJHLSOGGLAJDFFMZTJO, EJLVNLRDIJLLHSRBHWOP) = VABNBSCWBXKBDMLOHCEA M\n",
      "220 (QQPRNGKSSNYPVTTMZFPK, JHLNZXRFDLZLPPFTBNPX) = SQVVLQGMKXAVTVLGBHZM M\n",
      "221 (IIJHLSOGGLAJDFFMZTJO, PRNLZBHTVNZNJJTFXLJB) = GIDDNISMOBYDFDNSXRZM M\n",
      "222 (QQPRNGKSSNYPVTTMZFPK, PJFRPBVJDZJFJDZHFHRN) = YSPZBUKQKLKPNJFUFBBC M\n",
      "223 (IIJHLSOGGLAJDFFMZTJO, JPTHJXDPVZPTPVZRTRHL) = AGJZXEOIONOJLPTETXXW M\n",
      "224 (QQPRNGKSSNYPVTTMZFPK, ONTZVJDRQBDTXSNJNIIT) = XWDHHCSYXNEDBYTWNCSI M\n",
      "225 (IIJHLSOGGLAJDFFMZTJO, KLFZDPVHIXVFBGLPLQQF) = BCVRRWGABLUVXAFCLWGQ M\n",
      "226 (QQPRNGKSSNYPVTTMZFPK, KDXFTPJXQJFXBARRTMYR) = TMHNFIYEXVGHFGXETGIG M\n",
      "227 (IIJHLSOGGLAJDFFMZTJO, OVBTFJPBIPTBXYHHFMAH) = FMRLTQAUBDSRTSBUFSQS M\n",
      "228 (QQPRNGKSSNYPVTTMZFPK, TTBLRVPDDRHBFVVZZDBP) = CCLTDOEKKDILJBBMZXLE M\n",
      "229 (IIJHLSOGGLAJDFFMZTJO, FFXNHDJVVHRXTDDZZVXJ) = WWNFVKUOOVQNPXXMZBNU M\n",
      "230 (QQPRNGKSSNYPVTTMZFPK, PQZPBOMIJVKZJSXCLEKW) = YZJXNHBPQHLJNYDPLYUL M\n",
      "231 (IIJHLSOGGLAJDFFMZTJO, JIZJXKMQPDOZPGBWNUOC) = AZPBLRXJIRNPLAVJNAEN M\n",
      "232 (QQPRNGKSSNYPVTTMZFPK, LNXTLHJNPZNXNPZFXFTD) = UWHBXAYUWLOHRVFSXZDS M\n",
      "233 (IIJHLSOGGLAJDFFMZTJO, NLBFNRPLJZLBLJZTBTFV) = ECRXBYAECNKRHDTGBZVG M\n",
      "234 (QQPRNGKSSNYPVTTMZFPK, HKVXVAGSVDQVRMBIJGCK) = QTFFHTVZCPRFVSHVJAMZ M\n",
      "235 (IIJHLSOGGLAJDFFMZTJO, RODBDYSGDVIDHMXQPSWO) = IFTTRFDZWJHTDGRDPYMZ M\n",
      "236 (QQPRNGKSSNYPVTTMZFPK, DHTBFTDXBHTTVJDLVHLR) = MQDJRMSEITUDZPJYVBVG M\n",
      "237 (IIJHLSOGGLAJDFFMZTJO, VRFXTFVBXRFFDPVNDRNH) = MIVPHMGUQFEVZJPADXDS M\n",
      "238 (QQPRNGKSSNYPVTTMZFPK, ZERFPMACHLWRZGFOHIUY) = INBNBFPJOXXBDMLBHCEN M\n",
      "239 (IIJHLSOGGLAJDFFMZTJO, ZUHTJMYWRNCHZSTKRQEA) = QLXLXTJPKBBXVMNXRWUL M\n",
      "240 (QQPRNGKSSNYPVTTMZFPK, VBPJZFXHNPZPDDHRTJDF) = EKZRLYMOUBAZHJNETDNU M\n",
      "241 (IIJHLSOGGLAJDFFMZTJO, DXJPZTBRLJZJVVRHFPVT) = UOZHNAMKEXYZRPLUFVLE M\n",
      "242 (QQPRNGKSSNYPVTTMZFPK, RYNNJYUMTTCNHAJUFKMM) = AHXVVRJTAFDXLGPHFEWB M\n",
      "243 (IIJHLSOGGLAJDFFMZTJO, HALLPAEMFFWLRYPETOMM) = YRBDDHPFYTVBNSJRTUCX M\n",
      "244 (QQPRNGKSSNYPVTTMZFPK, NVLRTRRRZXFLLXLXRLVT) = WEVZFKGYGJGVPDRKRFFI M\n",
      "245 (IIJHLSOGGLAJDFFMZTJO, LDNHFHHHZBTNNBNBHNDF) = CUDZTOSASPSDJVHOHTTQ M\n",
      "246 (QQPRNGKSSNYPVTTMZFPK, FXPTXDXLDTBPTXJBHRFV) = OGZBJWMSKFCZXDPOHLPK M\n",
      "247 (IIJHLSOGGLAJDFFMZTJO, TBJFBVBNVFXJFBPXRHTD) = KSZXPCMGOTWZBVJKRNJO M\n",
      "248 (UTRNDNNNMJVRRWRJNEGD, NVLRTRRRZXFLLXLXRLVT) = SBTDPDDDMNJTTATNDGOP M\n",
      "249 (EFHLVLLLMPDHHCHPLUSV, LDNHFHHHZBTNNBNBHNDF) = GXFVJVVVMLPFFYFLVSKJ M\n",
      "250 (UTRNDNNNMJVRRWRJNEGD, EMBJHYCKSLEBHRFKRRLE) = JSJVDKOWFBIJPUNADMEA M\n",
      "251 (EFHLVLLLMPDHHCHPLUSV, UMXPRAWOGNUXRHTOHHNU) = PGPDVOKCTXQPJELYVMUY M\n",
      "252 (UTRNDNNNMJVRRWRJNEGD, VDRBVFNDLZDRDLZXRXBP) = AJZNRRZPYPHZLOHNDSUL M\n",
      "253 (EFHLVLLLMPDHHCHPLUSV, DVHXDTLVNZVHVNZBHBXJ) = YPZLHHZJAJRZNKRLVGEN M\n",
      "254 (UTRNDNNNMJVRRWRJNEGD, MUHTJMYWENCHZFTKRDRA) = RAPFFYKIRDGPHIBADYKW M\n",
      "255 (EFHLVLLLMPDHHCHPLUSV, MERFPMACULWRZTFOHVHY) = HYJTTAOQHVSJRQXYVAOC M\n",
      "256 (UTRNDNNNMJVRRWRJNEGD, DLXLXTJPXBBXVZNXRJHL) = IRFXTFVBKRFFDCVNDEAH M\n",
      "257 (EFHLVLLLMPDHHCHPLUSV, VNBNBFPJBXXBDZLBHPRN) = QHTBFTDXOHTTVWDLVUYR M\n",
      "258 (UTRNDNNNMJVRRWRJNEGD, UCNDLAUIQPANRTHKRPXW) = ZIVPHMGUDFEVZWPADKQS M\n",
      "259 (EFHLVLLLMPDHHCHPLUSV, EWLVNYEQIJYLHFROHJBC) = ZQDJRMSEVTUDZCJYVOIG M\n",
      "260 (UTRNDNNNMJVRRWRJNEGD, LTDVZHFBJDZDNNBXRVNH) = QZLHVTRNWTDLVQJNDQGD M\n",
      "261 (EFHLVLLLMPDHHCHPLUSV, NFVDZRTXPVZVLLXBHDLR) = IZNRDFHLCFVNDIPLVISV M\n",
      "262 (UTRNDNNNMJVRRWRJNEGD, CKTNNOQUCRYTJHVKRBDS) = HQBZJACGPHCBRKDADWWO M\n",
      "263 (EFHLVLLLMPDHHCHPLUSV, WOFLLKIEWHAFPRDOHXVG) = RIXZPYWSJRWXHOVYVCCK M\n",
      "264 (UTRNDNNNMJVRRWRJNEGD, TBJFBVBNVFXJFBPXRHTD) = YHRRXHNZIVBRNEXNDCMZ M\n",
      "265 (EFHLVLLLMPDHHCHPLUSV, FXPTXDXLDTBPTXJBHRFV) = ARHHBRLZQDXHLUBLVWMZ M\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "266 (DCBVPGCUTVWBVCXWNYQS, TBJFBVBNVFXJFBPXRHTD) = PYHJLOYSBJAHJYRADICK M\n",
      "267 (VWXDJSWEFDCXDWBCLAIG, FXPTXDXLDTBPTXJBHRFV) = JARPNKAGXPYRPAHYVQWO M\n",
      "268 (MLLDBZRBAHXLZIDJNSAH, ZDDJRZFRVTHDZPJLVBVT) = MRRFPZNPULJRZGFBHIUL M\n",
      "269 (MNNVXZHXYRBNZQVPLGYR, ZVVPHZTHDFRVZJPNDXDF) = MHHTJZLJENPHZSTXRQEN M\n",
      "270 (MLLDBZRBAHXLZIDJNSAH, UXVXVNTFIDDVRMBVJGCX) = HLJTTNBDHVFJRDXLVNBP E\n",
      "271 (MNNVXZHXYRBNZQVPLGYR, EBDBDLFTQVVDHMXDPSWB) = RNPFFLXVRDTPHVBNDLXJ E\n",
      "272 (MLLDBZRBAHXLZIDJNSAH, EJLVNLRDIJLLHSRBHWOP) = RXZRLLZBHBNZHJNRTDNH E\n",
      "273 (MNNVXZHXYRBNZQVPLGYR, UPNDLNHVQPNNRGHXRCKJ) = HBZHNNZXRXLZRPLHFVLR E\n",
      "274 (MLLDBZRBAHXLZIDJNSAH, PRNLZBHTVNZNJJTFXLJB) = CFBHXBPRUFBBJAPVJSIT M\n",
      "275 (MNNVXZHXYRBNZQVPLGYR, JHLNZXRFDLZLPPFTBNPX) = WTXRBXJHETXXPYJDPGQF M\n",
      "276 (MLLDBZRBAHXLZIDJNSAH, JPTHJXDPVZPTPVZRTRHL) = WDHDHXLNURRHPMVHFYGD M\n",
      "277 (MNNVXZHXYRBNZQVPLGYR, PJFRPBVJDZJFJDZHFHRN) = CVRVRBNLEHHRJMDRTASV M\n",
      "278 (MLLDBZRBAHXLZIDJNSAH, KLFZDPVHIXVFBGLPLQQF) = XZTVBPDFHPXTBXHFXXPX E\n",
      "279 (MNNVXZHXYRBNZQVPLGYR, ONTZVJDRQBDTXSNJNIIT) = BZFDXJVTRJBFXBRTBBJB E\n",
      "280 (MLLDBZRBAHXLZIDJNSAH, OVBTFJPBIPTBXYHHFMAH) = BJPPDJXZHHVPXPDXRTZZ E\n",
      "281 (MNNVXZHXYRBNZQVPLGYR, KDXFTPJXQJFXBARRTMYR) = XPJJVPBZRRDJBJVBHFZZ E\n",
      "282 (MLLDBZRBAHXLZIDJNSAH, FFXNHDJVVHRXTDDZZVXJ) = STLJFDRTUZTLTUZPLCWB M\n",
      "283 (MNNVXZHXYRBNZQVPLGYR, TTBLRVPDDRHBFVVZZDBP) = GFNPTVHFEZFNFEZJNWCX M\n",
      "284 (MLLDBZRBAHXLZIDJNSAH, TBJFBVBNVFXJFBPXRHTD) = GPXBZVJLUXZXFSLNDOSV M\n",
      "285 (MNNVXZHXYRBNZQVPLGYR, FXPTXDXLDTBPTXJBHRFV) = SJBXZDPNEBZBTGNLVKGD M\n",
      "286 (RRTPXLDNNXBTHLLZZNTD, FFXNHDJVVHRXTDDZZVXJ) = NNDXJRFHHJPDLRRZZHDF E\n",
      "287 (HHFJBNVLLBXFRNNZZLFV, TTBLRVPDDRHBFVVZZDBP) = LLVBPHTRRPJVNHHZZRVT E\n",
      "288 (RRTPXLDNNXBTHLLZZNTD, JIZJXKMQPDOZPGBWNUOC) = RQFTZYICBFMFHUPWNGUY M\n",
      "289 (HHFJBNVLLBXFRNNZZLFV, PQZPBOMIJVKZJSXCLEKW) = HITFZAQWXTMTREJCLSEA M\n",
      "290 (RRTPXLDNNXBTHLLZZNTD, NLBFNRPLJZLBLJZTBTFV) = VTHPPFLXVBJHDXNTBFLR E\n",
      "291 (HHFJBNVLLBXFRNNZZLFV, LNXTLHJNPZNXNPZFXFTD) = DFRJJTNBDXPRVBLFXTNH E\n",
      "292 (RRTPXLDNNXBTHLLZZNTD, RODBDYSGDVIDHMXQPSWO) = ZWJLFMOSPXGJZALQPECK M\n",
      "293 (HHFJBNVLLBXFRNNZZLFV, HKVXVAGSVDQVRMBIJGCK) = ZCPNTMKGJBSPZYNIJUWO M\n",
      "294 (RRTPXLDNNXBTHLLZZNTD, VRFXTFVBXRFFDPVNDRNH) = DZLHVTRNJTDLVDJNDDTD E\n",
      "295 (HHFJBNVLLBXFRNNZZLFV, DHTBFTDXBHTTVJDLVHLR) = VZNRDFHLPFVNDVPLVVFV E\n",
      "296 (RRTPXLDNNXBTHLLZZNTD, ZUHTJMYWRNCHZSTKRQEA) = HCNDLAUIDPANRGHKRCKW M\n",
      "297 (HHFJBNVLLBXFRNNZZLFV, ZERFPMACHLWRZGFOHIUY) = RWLVNYEQVJYLHSROHWOC M\n",
      "298 (RRTPXLDNNXBTHLLZZNTD, DXJPZTBRLJZJVVRHFPVT) = LFPZBHXDXLXPNJFHFBBP E\n",
      "299 (HHFJBNVLLBXFRNNZZLFV, VBPJZFXHNPZPDDHRTJDF) = NTJZXRBVBNBJLPTRTXXJ E\n",
      "300 (RRTPXLDNNXBTHLLZZNTD, HALLPAEMFFWLRYPETOMM) = PIRVROAYRHURJMDETASI M\n",
      "301 (HHFJBNVLLBXFRNNZZLFV, RYNNJYUMTTCNHAJUFKMM) = JQHDHKYAHREHPMVUFYGQ M\n",
      "302 (RRTPXLDNNXBTHLLZZNTD, LDNHFHHHZBTNNBNBHNDF) = TLTRHVDTLDRTFPBBHZJB E\n",
      "303 (HHFJBNVLLBXFRNNZZLFV, NVLRTRRRZXFLLXLXRLVT) = FNFHRDVFNVHFTJXXRZPX E\n",
      "304 (NORTHEASTBERLINCLOCK, LDNHFHHHZBTNNBNBHNDF) = XOVNXCGOFZOVBSZYVYAU M\n",
      "305 (LKHFRUYGFXUHNQLWNKWO, NVLRTRRRZXFLLXLXRLVT) = BKDLBWSKTZKDXGZADAYE M\n",
      "306 (JLPXRXXXZFHPPFPFXPLR, LDNHFHHHZBTNNBNBHNDF) = BRXJNJJJZVLXXVXVJXRN E\n",
      "307 (PNJBHBBBZTRJJTJTBJNH, NVLRTRRRZXFLLXLXRLVT) = XHBPLPPPZDNBBDBDPBHL E\n",
      "308 (JLPXRXXXZFHPPFPFXPLR, UMXPRAWOGNUXRHTOHHNU) = KAHRZCYQGHMHBBDIJRBC M\n",
      "309 (PNJBHBBBZTRJJTJTBJNH, EMBJHYCKSLEBHRFKRRLE) = OYRHZWAISRMRXXVQPHXW M\n",
      "310 (JLPXRXXXZFHPPFPFXPLR, DVHXDTLVNZVHVNZBHBXJ) = TJRZLVNXNTNRFHJVJLLR E\n",
      "311 (PNJBHBBBZTRJJTJTBJNH, VDRBVFNDLZDRDLZXRXBP) = FPHZNDLBLFLHTRPDPNNH E\n",
      "312 (JLPXRXXXZFHPPFPFXPLR, MERFPMACULWRZTFOHVHY) = CSBHXOCEUFOBJNPIJFVG M\n",
      "313 (PNJBHBBBZTRJJTJTBJNH, MUHTJMYWENCHZFTKRDRA) = WGXRBKWUETKXPLJQPTDS M\n",
      "314 (JLPXRXXXZFHPPFPFXPLR, VNBNBFPJBXXBDZLBHPRN) = LBLPJHRLBRPLNTVVJZFV E\n",
      "315 (PNJBHBBBZTRJJTJTBJNH, DLXLXTJPXBBXVZNXRJHL) = NXNJPRHNXHJNLFDDPZTD E\n",
      "316 (JLPXRXXXZFHPPFPFXPLR, EWLVNYEQIJYLHFROHJBC) = UKVXVAGSIDQVRZBIJTPK M\n",
      "317 (PNJBHBBBZTRJJTJTBJNH, UCNDLAUIQPANRTHKRPXW) = EODBDYSGQVIDHZXQPFJO M\n",
      "318 (JLPXRXXXZFHPPFPFXPLR, NFVDZRTXPVZVLLXBHDLR) = DTFFHTVZPPRFVFHVJNZZ E\n",
      "319 (PNJBHBBBZTRJJTJTBJNH, LTDVZHFBJDZDNNBXRVNH) = VFTTRFDZJJHTDTRDPLZZ E\n",
      "320 (JLPXRXXXZFHPPFPFXPLR, WOFLLKIEWHAFPRDOHXVG) = MCPNTMKGWBSPZLNIJHJO M\n",
      "321 (PNJBHBBBZTRJJTJTBJNH, CKTNNOQUCRYTJHVKRBDS) = MWJLFMOSCXGJZNLQPRPK M\n",
      "322 (JLPXRXXXZFHPPFPFXPLR, FXPTXDXLDTBPTXJBHRFV) = VLZVFFZNDNTZDRTVJBTD E\n",
      "323 (PNJBHBBBZTRJJTJTBJNH, TBJFBVBNVFXJFBPXRHTD) = DNZDTTZLVLFZVHFDPXFV E\n",
      "324 (ACFPFEIQSTGFLZJSXVBC, FXPTXDXLDTBPTXJBHRFV) = EUJDRYOUKZUJHXZIJVDS M\n",
      "325 (YWTJTUQIGFSTNZPGBDXW, TBJFBVBNVFXJFBPXRHTD) = UEPVHAKEOZEPRBZQPDVG M\n",
      "326 (RTVHTLTJLHFVHTDFXBRN, FXPTXDXLDTBPTXJBHRFV) = NDTLDRDBRLVTLDFVJPNH E\n",
      "327 (HFDRFNFPNRTDRFVTBXHL, TBJFBVBNVFXJFBPXRHTD) = LVFNVHVXHNDFNVTDPJLR E\n",
      "328 (VUVLNSGIHTYVDOJWNMKW, ZDDJRZFRVTHDZPJLVBVT) = DIHXDGYINZIHVAZOHOKW M\n",
      "329 (DEDNLGSQRFADVKPCLMOC, ZVVPHZTHDFRVZJPNDXDF) = VQRBVSAQLZQRDYZKRKOC M\n",
      "330 (VUVLNSGIHTYVDOJWNMKW, UXVXVNTFIDDVRMBVJGCX) = YCZLHUMWAJEZNXRYVTRA M\n",
      "331 (DEDNLGSQRFADVKPCLMOC, EBDBDLFTQVVDHMXDPSWB) = AWZNREMCYPUZLBHADFHY M\n",
      "332 (VUVLNSGIHTYVDOJWNMKW, EJLVNLRDIJLLHSRBHWOP) = IOPJZSKUAPMPDDHETJDS M\n",
      "333 (DEDNLGSQRFADVKPCLMOC, UPNDLNHVQPNNRGHXRCKJ) = QKJPZGOEYJMJVVRUFPVG M\n",
      "334 (VUVLNSGIHTYVDOJWNMKW, PRNLZBHTVNZNJJTFXLJB) = TWRZLIAKNTARFUJIJYYE M\n",
      "335 (DEDNLGSQRFADVKPCLMOC, JHLNZXRFDLZLPPFTBNPX) = FCHZNQYOLFYHTEPQPAAU M\n",
      "336 (VUVLNSGIHTYVDOJWNMKW, JPTHJXDPVZPTPVZRTRHL) = NUXVVEWGNFQXLGPUFEWO M\n",
      "337 (DEDNLGSQRFADVKPCLMOC, PJFRPBVJDZJFJDZHFHRN) = LEBDDUCSLTIBNSJETUCK M\n",
      "338 (VUVLNSGIHTYVDOJWNMKW, KLFZDPVHIXVFBGLPLQQF) = OQJNPWOYADWJXRBSXDFI M\n",
      "339 (DEDNLGSQRFADVKPCLMOC, ONTZVJDRQBDTXSNJNIIT) = KIPLJCKAYVCPBHXGBVTQ M\n",
      "340 (VUVLNSGIHTYVDOJWNMKW, OVBTFJPBIPTBXYHHFMAH) = SAFHRQISAVUFTJXKRZPK M\n",
      "341 (DEDNLGSQRFADVKPCLMOC, KDXFTPJXQJFXBARRTMYR) = GYTRHIQGYDETFPBOHZJO M\n",
      "342 (VUVLNSGIHTYVDOJWNMKW, FFXNHDJVVHRXTDDZZVXJ) = JKBBTKCMNNSBPOTCLIMM M\n",
      "343 (DEDNLGSQRFADVKPCLMOC, TTBLRVPDDRHBFVVZZDBP) = POXXFOWMLLGXJKFWNQMM M\n",
      "344 (VUVLNSGIHTYVDOJWNMKW, TBJFBVBNVFXJFBPXRHTD) = XGNTNCUENLYNBMFADUIG M\n",
      "345 (DEDNLGSQRFADVKPCLMOC, FXPTXDXLDTBPTXJBHRFV) = BSLFLWEULNALXMTYVEQS M\n",
      "346 (AADXJESUUJCDLRRMZHDS, FFXNHDJVVHRXTDDZZVXJ) = EETPXYQAAXOTHLLMZNTQ M\n",
      "347 (YYVBPUGEEPWVNHHMZRVG, TTBLRVPDDRHBFVVZZDBP) = UUFJBAIYYBKFRNNMZLFI M\n",
      "348 (AADXJESUUJCDLRRMZHDS, JIZJXKMQPDOZPGBWNUOC) = IHVLNFTVUTLVDOJJNMKJ M\n",
      "349 (YYVBPUGEEPWVNHHMZRVG, PQZPBOMIJVKZJSXCLEKW) = QRDNLTFDEFNDVKPPLMOP M\n",
      "350 (AADXJESUUJCDLRRMZHDS, NLBFNRPLJZLBLJZTBTFV) = MKXHDMWQOPIXZRHGBLBC M\n",
      "351 (YYVBPUGEEPWVNHHMZRVG, LNXTLHJNPZNXNPZFXFTD) = MOBRVMCIKJQBZHRSXNXW M\n",
      "352 (AADXJESUUJCDLRRMZHDS, RODBDYSGDVIDHMXQPSWO) = QNZDTTZLILFZVUFDPKSV M\n",
      "353 (YYVBPUGEEPWVNHHMZRVG, HKVXVAGSVDQVRMBIJGCK) = ILZVFFZNQNTZDETVJOGD M\n",
      "354 (AADXJESUUJCDLRRMZHDS, VRFXTFVBXRFFDPVNDRNH) = UQBZJACGCHCBRXDADJJO M\n",
      "355 (YYVBPUGEEPWVNHHMZRVG, DHTBFTDXBHTTVJDLVHLR) = EIXZPYWSWRWXHBVYVPPK M\n",
      "356 (AADXJESUUJCDLRRMZHDS, ZUHTJMYWRNCHZSTKRQEA) = YTDVZHFBWDZDNABXRIAH M\n",
      "357 (YYVBPUGEEPWVNHHMZRVG, ZERFPMACHLWRZGFOHIUY) = AFVDZRTXCVZVLYXBHQYR M\n",
      "358 (AADXJESUUJCDLRRMZHDS, DXJPZTBRLJZJVVRHFPVT) = CWFRPOIWQZWFJDZUFHRA M\n",
      "359 (YYVBPUGEEPWVNHHMZRVG, VBPJZFXHNPZPDDHRTJDF) = WCTHJKQCIZCTPVZETRHY M\n",
      "360 (AADXJESUUJCDLRRMZHDS, HALLPAEMFFWLRYPETOMM) = GZHNFVLRKVTHFGXRTGIT M\n",
      "361 (YYVBPUGEEPWVNHHMZRVG, RYNNJYUMTTCNHAJUFKMM) = SZRLTDNHODFRTSBHFSQF M\n",
      "362 (AADXJESUUJCDLRRMZHDS, LDNHFHHHZBTNNBNBHNDF) = KCJJVCOMERQJBJVOHFZM M\n",
      "363 (YYVBPUGEEPWVNHHMZRVG, NVLRTRRRZXFLLXLXRLVT) = OWPPDWKMUHIPXPDKRTZM M\n",
      "364 (WXBBTXPZANFBPOTPLIMZ, LDNHFHHHZBTNNBNBHNDF) = OFLFLJRHYNNLXMTLVEQF M\n",
      "365 (CBXXFBJZYLTXJKFJNQMZ, NVLRTRRRZXFLLXLXRLVT) = KTNTNPHRALLNBMFNDUIT M\n",
      "366 (SUZFDQMEGRIZTLVSXJVG, LDNHFHHHZBTNNBNBHNDF) = SINBBQUCSJKNTPRIJDHY M\n",
      "367 (GEZTVIMUSHQZFNDGBPDS, NVLRTRRRZXFLLXLXRLVT) = GQLXXIEWGPOLFJHQPVRA M\n",
      "368 (QONZRGUWUDUNVLBGBRRA, TBJFBVBNVFXJFBPXRHTD) = CMVFJOGQABCVJPNQPPBC M\n",
      "369 (IKLZHSECEVELDNXSXHHY, FXPTXDXLDTBPTXJBHRFV) = WMDTPKSIYXWDPJLIJJXW M\n",
      "370 (ORXJNJJJMVLXXIXVJKEN, LDNHFHHHZBTNNBNBHNDF) = WLPXRXXXMFHPPSPFXCYR M\n",
      "371 (KHBPLPPPMDNBBQBDPOUL, NVLRTRRRZXFLLXLXRLVT) = CNJBHBBBMTRJJGJTBWAH M\n",
      "372 (ORXJNJJJMVLXXIXVJKEN, UMXPRAWOGNUXRHTOHHNU) = FUZFDQMETRIZTYVSXWIG M\n",
      "373 (KHBPLPPPMDNBBQBDPOUL, EMBJHYCKSLEBHRFKRRLE) = TEZTVIMUFHQZFADGBCQS M\n",
      "374 (ORXJNJJJMVLXXIXVJKEN, DVHXDTLVNZVHVNZBHBXJ) = ODJNPJBLADJJXEBFXQSV M\n",
      "375 (KHBPLPPPMDNBBQBDPOUL, VDRBVFNDLZDRDLZXRXBP) = KVPLJPXNYVPPBUXTBIGD M\n",
      "376 (ORXJNJJJMVLXXIXVJKEN, MERFPMACULWRZTFOHVHY) = XMTVBCQSHPKTBKHSXKCK M\n",
      "377 (KHBPLPPPMDNBBQBDPOUL, MUHTJMYWENCHZFTKRDRA) = BMFDXWIGRJOFXORGBOWO M\n",
      "378 (ORXJNJJJMVLXXIXVJKEN, VNBNBFPJBXXBDZLBHPRN) = GVDDNVFZOBLDFQNFXEMZ M\n",
      "379 (KHBPLPPPMDNBBQBDPOUL, DLXLXTJPXBBXVZNXRJHL) = SDVVLDTZKXNVTILTBUMZ M\n",
      "380 (ORXJNJJJMVLXXIXVJKEN, EWLVNYEQIJYLHFROHJBC) = PENLZOUGVNMNJWTSXYWO M\n",
      "381 (KHBPLPPPMDNBBQBDPOUL, UCNDLAUIQPANRTHKRPXW) = JULNZKESDLMLPCFGBACK M\n",
      "382 (ORXJNJJJMVLXXIXVJKEN, NFVDZRTXPVZVLLXBHDLR) = YNXTLHJNCZNXNCZFXSGD M\n",
      "383 (KHBPLPPPMDNBBQBDPOUL, LTDVZHFBJDZDNNBXRVNH) = ALBFNRPLWZLBLWZTBGSV M\n",
      "384 (ORXJNJJJMVLXXIXVJKEN, WOFLLKIEWHAFPRDOHXVG) = HWHBXAYUJLOHRIFSXMQS M\n",
      "385 (KHBPLPPPMDNBBQBDPOUL, CKTNNOQUCRYTJHVKRBDS) = RCRXBYAEPNKRHQTGBMIG M\n",
      "386 (ORXJNJJJMVLXXIXVJKEN, FXPTXDXLDTBPTXJBHRFV) = QFRJJTNBQXPRVOLFXGAH M\n",
      "387 (KHBPLPPPMDNBBQBDPOUL, TBJFBVBNVFXJFBPXRHTD) = ITHPPFLXIBJHDKNTBSYR M\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "388 (FINBBQUCFJKNTCRIJQUY, FXPTXDXLDTBPTXJBHRFV) = ZOBRVMCIXJQBZURSXAKW M\n",
      "389 (TQLXXIEWTPOLFWHQPIEA, TBJFBVBNVFXJFBPXRHTD) = ZKXHDMWQBPIXZEHGBYOC M\n",
      "390 (WZDTPXFVYXJDPWLVJWKJ, FXPTXDXLDTBPTXJBHRFV) = IXLZHFRPEVRLDAXFXUUL M\n",
      "391 (CZVFJBTDABPVJCNDPCOP, TBJFBVBNVFXJFBPXRHTD) = QBNZRTHJUDHNVYBTBEEN M\n",
      "392 (NQTLDEQORLITLQFIJCAU, FXPTXDXLDTBPTXJBHRFV) = RGVHTYGWLHSVHGDSXOEA M\n",
      "393 (LIFNVUIKHNQFNITQPWYE, TBJFBVBNVFXJFBPXRHTD) = HSDRFASCNRGDRSVGBKUY M\n",
      "394 (ZBBRVZPVXJDBZHRFXNXJ, ZVVPHZTHDFRVZJPNDXDF) = ZTTXLZDLFVNTZBXHFJFV E\n",
      "395 (ZXXHDZJDBPVXZRHTBLBP, ZDDJRZFRVTHDZPJLVBVT) = ZFFBNZVNTDLFZXBRTPTD E\n",
      "396 (ZBBRVZPVXJDBZHRFXNXJ, EBDBDLFTQVVDHMXDPSWB) = EZBJHLPXSLRBHEFXREYR M\n",
      "397 (ZXXHDZJDBPVXZRHTBLBP, UXVXVNTFIDDVRMBVJGCX) = UZXPRNJBGNHXRUTBHUAH M\n",
      "398 (ZBBRVZPVXJDBZHRFXNXJ, UPNDLNHVQPNNRGHXRCKJ) = UNLLPNRZSFJLRYPRTOMZ M\n",
      "399 (ZXXHDZJDBPVXZRHTBLBP, EJLVNLRDIJLLHSRBHWOP) = ELNNJLHZGTPNHAJHFKMZ M\n",
      "400 (ZBBRVZPVXJDBZHRFXNXJ, JHLNZXRFDLZLPPFTBNPX) = JFJVDXBJFBVJPHNNDZRN E\n",
      "401 (ZXXHDZJDBPVXZRHTBLBP, PRNLZBHTVNZNJJTFXLJB) = PTPDVBXPTXDPJRLLVZHL E\n",
      "402 (ZBBRVZPVXJDBZHRFXNXJ, PJFRPBVJDZJFJDZHFHRN) = PHDZTBFNFPFDJVHBHTTD E\n",
      "403 (ZXXHDZJDBPVXZRHTBLBP, JPTHJXDPVZPTPVZRTRHL) = JRVZFXTLTJTVPDRXRFFV E\n",
      "404 (ZBBRVZPVXJDBZHRFXNXJ, ONTZVJDRQBDTXSNJNIIT) = OLRHZJNVSRZRXKVDPUKJ M\n",
      "405 (ZXXHDZJDBPVXZRHTBLBP, KLFZDPVHIXVFBGLPLQQF) = KNHRZPLDGHZHBODVJEOP M\n",
      "406 (ZBBRVZPVXJDBZHRFXNXJ, KDXFTPJXQJFXBARRTMYR) = KBVNXPTBSZBVBSZLVYAH M\n",
      "407 (ZXXHDZJDBPVXZRHTBLBP, OVBTFJPBIPTBXYHHFMAH) = OXDLBJFXGZXDXGZNDAYR M\n",
      "408 (ZBBRVZPVXJDBZHRFXNXJ, TTBLRVPDDRHBFVVZZDBP) = TRZTVVZHFHDZFNDTBPDF E\n",
      "409 (ZXXHDZJDBPVXZRHTBLBP, FFXNHDJVVHRXTDDZZVXJ) = FHZFDDZRTRVZTLVFXJVT E\n",
      "410 (ZBBRVZPVXJDBZHRFXNXJ, FXPTXDXLDTBPTXJBHRFV) = FVNBBDHPFJXNTPRVJDHL E\n",
      "411 (ZXXHDZJDBPVXZRHTBLBP, TBJFBVBNVFXJFBPXRHTD) = TDLXXVRJTPBLFJHDPVRN E\n",
      "412 (UVTFZNDJKTZTREJPLSEN, TTBLRVPDDRHBFVVZZDBP) = YXHFRHLTSXHHNQLJNKWB M\n",
      "413 (EDFTZLVPOFZFHUPJNGUL, FFXNHDJVVHRXTDDZZVXJ) = ABRTHRNFGBRRLINPLOCX M\n",
      "414 (EHJDRLBHKZHJHKZVJIQF, FXPTXDXLDTBPTXJBHRFV) = APFPFRVDSTTFLMJFXIOP M\n",
      "415 (URPVHNXROZRPROZDPQIT, TBJFBVBNVFXJFBPXRHTD) = YJTJTHDVGFFTNMPTBQKJ M\n",
      "416 (PPLTDBRXXDVLJBBZZXLR, TTBLRVPDDRHBFVVZZDBP) = DDPRNTXFFNLPVTTZZFPX E\n",
      "417 (JJNFVXHBBVDNPXXZZBNH, FFXNHDJVVHRXTDDZZVXJ) = VVJHLFBTTLNJDFFZZTJB E\n",
      "418 (PPLTDBRXXDVLJBBZZXLR, PQZPBOMIJVKZJSXCLEKW) = ZANVXMUKLRONZQVCLGYE M\n",
      "419 (JJNFVXHBBVDNPXXZZBNH, JIZJXKMQPDOZPGBWNUOC) = ZYLDBMEONHKLZIDWNSAU M\n",
      "420 (PPLTDBRXXDVLJBBZZXLR, LNXTLHJNPZNXNPZFXFTD) = VXLZHFRPRVRLDNXFXHHL E\n",
      "421 (JJNFVXHBBVDNPXXZZBNH, NLBFNRPLJZLBLJZTBTFV) = DBNZRTHJHDHNVLBTBRRN E\n",
      "422 (PPLTDBRXXDVLJBBZZXLR, HKVXVAGSVDQVRMBIJGCK) = RUJDRYOUXZUJHKZIJIQS M\n",
      "423 (JJNFVXHBBVDNPXXZZBNH, RODBDYSGDVIDHMXQPSWO) = HEPVHAKEBZEPROZQPQIG M\n",
      "424 (PPLTDBRXXDVLJBBZZXLR, DHTBFTDXBHTTVJDLVHLR) = NRHHBRLZDDXHLHBLVJZZ E\n",
      "425 (JJNFVXHBBVDNPXXZZBNH, VRFXTFVBXRFFDPVNDRNH) = LHRRXHNZVVBRNRXNDPZZ E\n",
      "426 (PPLTDBRXXDVLJBBZZXLR, ZERFPMACHLWRZGFOHIUY) = JOFLLKIEJHAFPEDOHKIG M\n",
      "427 (JJNFVXHBBVDNPXXZZBNH, ZUHTJMYWRNCHZSTKRQEA) = PKTNNOQUPRYTJUVKROQS M\n",
      "428 (PPLTDBRXXDVLJBBZZXLR, VBPJZFXHNPZPDDHRTJDF) = FLDPVDFJPLDDTBFRTLRN E\n",
      "429 (JJNFVXHBBVDNPXXZZBNH, DXJPZTBRLJZJVVRHFPVT) = TNVJDVTPJNVVFXTHFNHL E\n",
      "430 (PPLTDBRXXDVLJBBZZXLR, RYNNJYUMTTCNHAJUFKMM) = BIBTFWCOVPGBXYHUFMAU M\n",
      "431 (JJNFVXHBBVDNPXXZZBNH, HALLPAEMFFWLRYPETOMM) = XQXFTCWKDJSXBARETMYE M\n",
      "432 (PPLTDBRXXDVLJBBZZXLR, NVLRTRRRZXFLLXLXRLVT) = XFZXPPZTBTJZBVJXRNJB E\n",
      "433 (JJNFVXHBBVDNPXXZZBNH, LDNHFHHHZBTNNBNBHNDF) = BTZBJJZFXFPZXDPBHLPX E\n",
      "434 (TSNPTIUSRZSNFEZWNWCK, NVLRTRRRZXFLLXLXRLVT) = TCXBZIWYHXMXFSLADOSI M\n",
      "435 (FGLJFQEGHZGLTUZCLCWO, LDNHFHHHZBTNNBNBHNDF) = FWBXZQCARBMBTGNYVKGQ M\n",
      "436 (XVPLJPXNLVPPBHXTBVTD, NVLRTRRRZXFLLXLXRLVT) = PZVFJBTDNBPVJPNDPPBP E\n",
      "437 (BDJNPJBLNDJJXRBFXDFV, LDNHFHHHZBTNNBNBHNDF) = JZDTPXFVLXJDPJLVJJXJ E\n",
      "438 (BYRHZWAIFRMRXKVQPUKW, NVLRTRRRZXFLLXLXRLVT) = LWTJTUQITFSTNMPGBQKW M\n",
      "439 (XAHRZCYQTHMHBODIJEOC, LDNHFHHHZBTNNBNBHNDF) = NCFPFEIQFTGFLMJSXIOC M\n",
      "440 (FBTDPDDDZNJTTNTNDTBP, NVLRTRRRZXFLLXLXRLVT) = HTRNDNNNZJVRRJRJNRTD E\n",
      "441 (TXFVJVVVZLPFFLFLVFXJ, LDNHFHHHZBTNNBNBHNDF) = RFHLVLLLZPDHHPHPLHFV E\n",
      "442 (FBTDPDDDZNJTTNTNDTBP, EMBJHYCKSLEBHRFKRRLE) = YKHFRUYGSXUHNDLWNXJO M\n",
      "443 (TXFVJVVVZLPFFLFLVFXJ, UMXPRAWOGNUXRHTOHHNU) = AORTHEASGBERLVNCLBPK M\n",
      "444 (FBTDPDDDZNJTTNTNDTBP, VDRBVFNDLZDRDLZXRXBP) = PBXXFBJZLLTXJXFJNDZZ E\n",
      "445 (TXFVJVVVZLPFFLFLVFXJ, DVHXDTLVNZVHVNZBHBXJ) = JXBBTXPZNNFBPBTPLVZZ E\n",
      "446 (FBTDPDDDZNJTTNTNDTBP, MUHTJMYWENCHZFTKRDRA) = GSNPTIUSEZSNFRZWNJPK M\n",
      "447 (TXFVJVVVZLPFFLFLVFXJ, MERFPMACULWRZTFOHVHY) = SGLJFQEGUZGLTHZCLPJO M\n",
      "448 (FBTDPDDDZNJTTNTNDTBP, DLXLXTJPXBBXVZNXRJHL) = XJDHHPFLXNRDBLTJNPFV E\n",
      "449 (TXFVJVVVZLPFFLFLVFXJ, VNBNBFPJBXXBDZLBHPRN) = BPVRRJTNBLHVXNFPLJTD E\n",
      "450 (FBTDPDDDZNJTTNTNDTBP, UCNDLAUIQPANRTHKRPXW) = OATZVWQEQBQTXFNWNVVG M\n",
      "451 (TXFVJVVVZLPFFLFLVFXJ, EWLVNYEQIJYLHFROHJBC) = KYFZDCIUIXIFBTLCLDDS M\n",
      "452 (FBTDPDDDZNJTTNTNDTBP, LTDVZHFBJDZDNNBXRVNH) = FRJRJDBXJPPJTZHJNBLR E\n",
      "453 (TXFVJVVVZLPFFLFLVFXJ, NFVDZRTXPVZVLLXBHDLR) = THPHPVXBPJJPFZRPLXNH E\n",
      "454 (FBTDPDDDZNJTTNTNDTBP, CKTNNOQUCRYTJHVKRBDS) = WIZJXKMQCDOZPTBWNHBC M\n",
      "455 (TXFVJVVVZLPFFLFLVFXJ, WOFLLKIEWHAFPRDOHXVG) = CQZPBOMIWVKZJFXCLRXW M\n",
      "456 (FBTDPDDDZNJTTNTNDTBP, TBJFBVBNVFXJFBPXRHTD) = NZPBLRXJVRNPLNVJNNRN E\n",
      "457 (TXFVJVVVZLPFFLFLVFXJ, FXPTXDXLDTBPTXJBHRFV) = LZJXNHBPDHLJNLDPLLHL E\n",
      "458 (OKDLBWSKGZKDXTZADNLE, TBJFBVBNVFXJFBPXRHTD) = EQFTZYICOFMFHHPWNTHY M\n",
      "459 (KOVNXCGOSZOVBFZYVLNU, FXPTXDXLDTBPTXJBHRFV) = UITFZAQWKTMTRRJCLFRA M\n",
      "460 (XTNTNPHRNLLNBZFNDHVT, TBJFBVBNVFXJFBPXRHTD) = VHVLNFTVHTLVDBJJNZXJ E\n",
      "461 (BFLFLJRHLNNLXZTLVRDF, FXPTXDXLDTBPTXJBHRFV) = DRDNLTFDRFNDVXPPLZBP E\n",
      "462 (GCXBZIWYUXMXFFLADBFI, TBJFBVBNVFXJFBPXRHTD) = MYLDBMEOAHKLZVDWNFNU M\n",
      "463 (SWBXZQCAEBMBTTNYVXTQ, FXPTXDXLDTBPTXJBHRFV) = MANVXMUKYRONZDVCLTLE M\n",
      "464 (PLHJLBLFBJNHJLRNDVPX, TBJFBVBNVFXJFBPXRHTD) = DPBVPTPHTVJBVPXJNLDF E\n",
      "465 (JNRPNXNTXPLRPNHLVDJB, FXPTXDXLDTBPTXJBHRFV) = VJXDJFJRFDPXDJBPLNVT E\n",
      "466 (IGHPPSYKIBWHDXNGBFLE, ZDDJRZFRVTHDZPJLVBVT) = QWVTBGGGMRKVVRVETVJO M\n",
      "467 (QSRJJGAOQXCRVBLSXTNU, ZVVPHZTHDFRVZJPNDXDF) = ICDFXSSSMHODDHDUFDPK M\n",
      "468 (IGHPPSYKIBWHDXNGBFLE, UXVXVNTFIDDVRMBVJGCX) = LQNHFUUUZBGNNONOHAQS M\n",
      "469 (QSRJJGAOQXCRVBLSXTNU, EBDBDLFTQVVDHMXDPSWB) = NILRTEEEZXSLLKLKRYIG M\n",
      "470 (IGHPPSYKIBWHDXNGBFLE, EJLVNLRDIJLLHSRBHWOP) = VCDFXSSSZHODDUDUFQCK M\n",
      "471 (QSRJJGAOQXCRVBLSXTNU, UPNDLNHVQPNNRGHXRCKJ) = DWVTBGGGZRKVVEVETIWO M\n",
      "472 (IGHPPSYKIBWHDXNGBFLE, PRNLZBHTVNZNJJTFXLJB) = GKFVJIIIMLCFFLFYVFXW M\n",
      "473 (QSRJJGAOQXCRVBLSXTNU, JHLNZXRFDLZLPPFTBNPX) = SOTDPQQQMNWTTNTADTBC M\n",
      "474 (IGHPPSYKIBWHDXNGBFLE, JPTHJXDPVZPTPVZRTRHL) = AILRTEEEMXSLLXLKRLVG M\n",
      "475 (QSRJJGAOQXCRVBLSXTNU, PJFRPBVJDZJFJDZHFHRN) = YQNHFUUUMBGNNBNOHNDS M\n",
      "476 (IGHPPSYKIBWHDXNGBFLE, KLFZDPVHIXVFBGLPLQQF) = BEXJNWWWZVYXXIXIJKEA M\n",
      "477 (QSRJJGAOQXCRVBLSXTNU, ONTZVJDRQBDTXSNJNIIT) = XUBPLCCCZDABBQBQPOUY M\n",
      "478 (IGHPPSYKIBWHDXNGBFLE, OVBTFJPBIPTBXYHHFMAH) = FOTDPQQQZNWTTATADGOC M\n",
      "479 (QSRJJGAOQXCRVBLSXTNU, KDXFTPJXQJFXBARRTMYR) = TKFVJIIIZLCFFYFYVSKW M\n",
      "480 (IGHPPSYKIBWHDXNGBFLE, FFXNHDJVVHRXTDDZZVXJ) = WYPXRKKKMFUPPFPSXPLE M\n",
      "481 (QSRJJGAOQXCRVBLSXTNU, TTBLRVPDDRHBFVVZZDBP) = CAJBHOOOMTEJJTJGBJNU M\n",
      "482 (IGHPPSYKIBWHDXNGBFLE, TBJFBVBNVFXJFBPXRHTD) = KUBPLCCCMDABBDBQPBHY M\n",
      "483 (QSRJJGAOQXCRVBLSXTNU, FXPTXDXLDTBPTXJBHRFV) = OEXJNWWWMVYXXVXIJXRA M\n",
      "484 (NMPBLEKWVRAPLAVWNAEA, FFXNHDJVVHRXTDDZZVXJ) = RSHLVYYYZPQHHCHCLUSI M\n",
      "485 (LMJXNUOCDHYJNYDCLYUY, TTBLRVPDDRHBFVVZZDBP) = HGRNDAAAZJIRRWRWNEGQ M\n",
      "486 (DAZDTGMYVLSZVUFQPKSI, TBJFBVBNVFXJFBPXRHTD) = PAJBHOOOZTEJJGJGBWAU M\n",
      "487 (VYZVFSMADNGZDETIJOGQ, FXPTXDXLDTBPTXJBHRFV) = JYPXRKKKZFUPPSPSXCYE M\n",
      "488 (SSXNHQWIIHEXTDDMZVXW, FFXNHDJVVHRXTDDZZVXJ) = MMZZZMMMMZMZZZZMZZZM M\n",
      "489 (SSXNHQWIIHEXTDDMZVXW, JIZJXKMQPDOZPGBWNUOC) = QPBVPTPHGVJBVCXJNYQF M\n",
      "490 (GGBLRICQQRUBFVVMZDBC, PQZPBOMIJVKZJSXCLEKW) = IJXDJFJRSDPXDWBPLAIT M\n",
      "491 (SSXNHQWIIHEXTDDMZVXW, NLBFNRPLJZLBLJZTBTFV) = USDRFASCARGDRFVGBXHY M\n",
      "492 (GGBLRICQQRUBFVVMZDBC, LNXTLHJNPZNXNPZFXFTD) = EGVHTYGWYHSVHTDSXBRA M\n",
      "493 (SSXNHQWIIHEXTDDMZVXW, RODBDYSGDVIDHMXQPSWO) = YVFNVHVXUNDFNITDPWYR M\n",
      "494 (GGBLRICQQRUBFVVMZDBC, HKVXVAGSVDQVRMBIJGCK) = ADTLDRDBELVTLQFVJCAH M\n",
      "495 (SSXNHQWIIHEXTDDMZVXW, VRFXTFVBXRFFDPVNDRNH) = CYHJLOYSOJAHJLRADVPK M\n",
      "496 (GGBLRICQQRUBFVVMZDBC, DHTBFTDXBHTTVJDLVHLR) = WARPNKAGKPYRPNHYVDJO M\n",
      "497 (SSXNHQWIIHEXTDDMZVXW, ZUHTJMYWRNCHZSTKRQEA) = GBJFBVBNIFXJFOPXRUGD M\n",
      "498 (GGBLRICQQRUBFVVMZDBC, ZERFPMACHLWRZGFOHIUY) = SXPTXDXLQTBPTKJBHESV M\n",
      "499 (SSXNHQWIIHEXTDDMZVXW, DXJPZTBRLJZJVVRHFPVT) = KELBRCEICBULBRNUFTXW M\n",
      "500 (GGBLRICQQRUBFVVMZDBC, VBPJZFXHNPZPDDHRTJDF) = OUNXHWUQWXENXHLETFBC M\n",
      "501 (SSXNHQWIIHEXTDDMZVXW, HALLPAEMFFWLRYPETOMM) = OHNXHJHDWXRNXULRTSOP M\n",
      "502 (GGBLRICQQRUBFVVMZDBC, RYNNJYUMTTCNHAJUFKMM) = KRLBRPRVCBHLBENHFGKJ M\n",
      "503 (SSXNHQWIIHEXTDDMZVXW, LDNHFHHHZBTNNBNBHNDF) = SKPTXQKYQTOPTXJOHRFI M\n",
      "504 (GGBLRICQQRUBFVVMZDBC, NVLRTRRRZXFLLXLXRLVT) = GOJFBIOAIFKJFBPKRHTQ M\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "505 (OPVRRJTNOLHVXAFPLWGD, LDNHFHHHZBTNNBNBHNDF) = WNRPNXNTKPLRPAHLVQWB M\n",
      "506 (KJDHHPFLKNRDBYTJNCSV, NVLRTRRRZXFLLXLXRLVT) = CLHJLBLFOJNHJYRNDICX M\n",
      "507 (KMTVBCQSUPKTBXHSXXPK, LDNHFHHHZBTNNBNBHNDF) = AQTLDEQOELITLDFIJPNU M\n",
      "508 (OMFDXWIGEJOFXBRGBBJO, NVLRTRRRZXFLLXLXRLVT) = YIFNVUIKUNQFNVTQPJLE M\n",
      "509 (GJRZLVNXATNRFUJVJYYR, LDNHFHHHZBTNNBNBHNDF) = ETVHTLTJYHFVHGDFXOEN M\n",
      "510 (SPHZNDLBYFLHTEPDPAAH, NVLRTRRRZXFLLXLXRLVT) = UFDRFNFPARTDRSVTBKUL M\n",
      "511 (CGPDVOKCGXQPJRLYVZHY, LDNHFHHHZBTNNBNBHNDF) = IWXDJSWESDCXDJBCLNVG M\n",
      "512 (WSJVDKOWSBIJPHNADZRA, NVLRTRRRZXFLLXLXRLVT) = QCBVPGCUGVWBVPXWNLDS M\n",
      "513 (YURRXUAMIVORNRXADPZM, TBJFBVBNVFXJFBPXRHTD) = UGRNDAAAMJIRRJRWNRTQ M\n",
      "514 (AEHHBEYMQDKHLHBYVJZM, FXPTXDXLDTBPTXJBHRFV) = ESHLVYYYMPQHHPHCLHFI M\n",
      "515 (YDNHFHHHMBTNNONBHAQF, LDNHFHHHZBTNNBNBHNDF) = MZZZZZZZMZZZZMZZZMMZ M\n",
      "516 (YDNHFHHHMBTNNONBHAQF, UMXPRAWOGNUXRHTOHHNU) = VIJHLSOGTLAJDSFMZGWO M\n",
      "517 (AVLRTRRRMXFLLKLXRYIT, EMBJHYCKSLEBHRFKRRLE) = DQPRNGKSFNYPVGTMZSCK M\n",
      "518 (YDNHFHHHMBTNNONBHAQF, DVHXDTLVNZVHVNZBHBXJ) = ERTPXLDNAXBTHYLZZAGD M\n",
      "519 (AVLRTRRRMXFLLKLXRYIT, VDRBVFNDLZDRDLZXRXBP) = UHFJBNVLYBXFRANZZYSV M\n",
      "520 (YDNHFHHHMBTNNONBHAQF, MERFPMACULWRZTFOHVHY) = NADXJESUHJCDLERMZUQS M\n",
      "521 (AVLRTRRRMXFLLKLXRYIT, MUHTJMYWENCHZFTKRDRA) = LYVBPUGERPWVNUHMZEIG M\n",
      "522 (YDNHFHHHMBTNNONBHAQF, VNBNBFPJBXXBDZLBHPRN) = WJNFVXHBOVDNPKXZZOAH M\n",
      "523 (AVLRTRRRMXFLLKLXRYIT, DLXLXTJPXBBXVZNXRJHL) = CPLTDBRXKDVLJOBZZKYR M\n",
      "524 (YDNHFHHHMBTNNONBHAQF, EWLVNYEQIJYLHFROHJBC) = FSXNHQWIVHEXTQDMZIKW M\n",
      "525 (AVLRTRRRMXFLLKLXRYIT, UCNDLAUIQPANRTHKRPXW) = TGBLRICQDRUBFIVMZQOC M\n",
      "526 (YDNHFHHHMBTNNONBHAQF, NFVDZRTXPVZVLLXBHDLR) = OBHVTJLPCTFHXWJZZCUL M\n",
      "527 (AVLRTRRRMXFLLKLXRYIT, LTDVZHFBJDZDNNBXRVNH) = KXRDFPNJWFTRBCPZZWEN M\n",
      "528 (YDNHFHHHMBTNNONBHAQF, WOFLLKIEWHAFPRDOHXVG) = XKRDFCAWJFGRBCPMZWEA M\n",
      "529 (AVLRTRRRMXFLLKLXRYIT, CKTNNOQUCRYTJHVKRBDS) = BOHVTWYCPTSHXWJMZCUY M\n",
      "530 (YDNHFHHHMBTNNONBHAQF, FXPTXDXLDTBPTXJBHRFV) = GTBLRVPDQRHBFIVZZQOP M\n",
      "531 (AVLRTRRRMXFLLKLXRYIT, TBJFBVBNVFXJFBPXRHTD) = SFXNHDJVIHRXTQDZZIKJ M\n",
      "532 (PUDZTOSAFPSDJIHOHGGQ, FXPTXDXLDTBPTXJBHRFV) = PCLTDOEKXDILJOBMZKYE M\n",
      "533 (JEVZFKGYTJGVPQRKRSSI, TBJFBVBNVFXJFBPXRHTD) = JWNFVKUOBVQNPKXMZOAU M\n",
      "534 (GLTRHVDTYDRTFCBBHMWB, FXPTXDXLDTBPTXJBHRFV) = YLVBPHTREPJVNUHZZEIT M\n",
      "535 (SNFHRDVFAVHFTWXXRMCX, TBJFBVBNVFXJFBPXRHTD) = ANDXJRFHUJPDLERZZUQF M\n",
      "536 (XCJJVCOMRRQJBWVOHSMM, FXPTXDXLDTBPTXJBHRFV) = HUFJBAIYLBKFRANMZYSI M\n",
      "537 (BWPPDWKMHHIPXCDKRGMM, TBJFBVBNVFXJFBPXRHTD) = RETPXYQANXOTHYLMZAGQ M\n",
      "538 (OTZBJJZFKFPZXQPBHYCX, FXPTXDXLDTBPTXJBHRFV) = QDPRNTXFSNLPVGTZZSCX M\n",
      "539 (KFZXPPZTOTJZBIJXRAWB, TBJFBVBNVFXJFBPXRHTD) = IVJHLFBTGLNJDSFZZGWB M\n",
      "540 (FKPTXQKYDTOPTKJOHESI, FXPTXDXLDTBPTXJBHRFV) = ZMZZZMMMZZMZZMZMZMMM M\n",
      "541 (MPPNTZXTWBFPZYNVJUWB, ZVVPHZTHDFRVZJPNDXDF) = MFFBNZVNGDLFZKBRTCGD M\n",
      "542 (MJJLFZBFCXTJZALDPECX, ZDDJRZFRVTHDZPJLVBVT) = MTTXLZDLSVNTZOXHFWSV M\n",
      "543 (MPPNTZXTWBFPZYNVJUWB, EBDBDLFTQVVDHMXDPSWB) = RLNNJLHZTTPNHNJHFXZZ E\n",
      "544 (MJJLFZBFCXTJZALDPECX, UXVXVNTFIDDVRMBVJGCX) = HNLLPNRZFFJLRLPRTBZZ E\n",
      "545 (MPPNTZXTWBFPZYNVJUWB, UPNDLNHVQPNNRGHXRCKJ) = HZXPRNJBTNHXRHTBHHNH E\n",
      "546 (MJJLFZBFCXTJZALDPECX, EJLVNLRDIJLLHSRBHWOP) = RZBJHLPXFLRBHRFXRRLR E\n",
      "547 (MPPNTZXTWBFPZYNVJUWB, JHLNZXRFDLZLPPFTBNPX) = WRVZFXTLGJTVPQRXRSSV M\n",
      "548 (MJJLFZBFCXTJZALDPECX, PRNLZBHTVNZNJJTFXLJB) = CHDZTBFNSPFDJIHBHGGD M\n",
      "549 (MPPNTZXTWBFPZYNVJUWB, PJFRPBVJDZJFJDZHFHRN) = CTPDVBXPGXDPJELLVMUL M\n",
      "550 (MJJLFZBFCXTJZALDPECX, JPTHJXDPVZPTPVZRTRHL) = WFJVDXBJSBVJPUNNDMEN M\n",
      "551 (MPPNTZXTWBFPZYNVJUWB, ONTZVJDRQBDTXSNJNIIT) = BXDLBJFXTZXDXTZNDNLR E\n",
      "552 (MJJLFZBFCXTJZALDPECX, KLFZDPVHIXVFBGLPLQQF) = XBVNXPTBFZBVBFZLVLNH E\n",
      "553 (MPPNTZXTWBFPZYNVJUWB, KDXFTPJXQJFXBARRTMYR) = XNHRZPLDTHZHBBDVJRBP E\n",
      "554 (MJJLFZBFCXTJZALDPECX, OVBTFJPBIPTBXYHHFMAH) = BLRHZJNVFRZRXXVDPHXJ E\n",
      "555 (MPPNTZXTWBFPZYNVJUWB, TTBLRVPDDRHBFVVZZDBP) = GDLXXVRJGPBLFWHDPIEN M\n",
      "556 (MJJLFZBFCXTJZALDPECX, FFXNHDJVVHRXTDDZZVXJ) = SVNBBDHPSJXNTCRVJQUL M\n",
      "557 (MPPNTZXTWBFPZYNVJUWB, FXPTXDXLDTBPTXJBHRFV) = SHZFDDZRGRVZTYVFXWIT M\n",
      "558 (MJJLFZBFCXTJZALDPECX, TBJFBVBNVFXJFBPXRHTD) = GRZTVVZHSHDZFADTBCQF M\n",
      "559 (HJHBXNLHJLBHRVFFXZDF, TTBLRVPDDRHBFVVZZDBP) = LJTJTHDVTFFTNZPTBDXJ E\n",
      "560 (RPRXBLNRPNXRHDTTBZVT, FFXNHDJVVHRXTDDZZVXJ) = NPFPFRVDFTTFLZJFXVBP E\n",
      "561 (RVXZPLJFJRJXHBVLVPPX, FXPTXDXLDTBPTXJBHRFV) = NBRTHRNFTBRRLVNPLBPX E\n",
      "562 (HDBZJNPTPHPBRXDNDJJB, TBJFBVBNVFXJFBPXRHTD) = LXHFRHLTFXHHNDLJNXJB E\n",
      "563 (XXRDFPNJJFTRBPPZZJRN, HKVXVAGSVDQVRMBIJGCK) = JMDTPKSILXWDPWLIJWKW M\n",
      "564 (BBHVTJLPPTFHXJJZZPHL, RODBDYSGDVIDHMXQPSWO) = PMVFJOGQNBCVJCNQPCOC M\n",
      "565 (XXRDFPNJJFTRBPPZZJRN, DHTBFTDXBHTTVJDLVHLR) = FJBXZDPNRBZBTTNLVXTD E\n",
      "566 (BBHVTJLPPTFHXJJZZPHL, VRFXTFVBXRFFDPVNDRNH) = TPXBZVJLHXZXFFLNDBFV E\n",
      "567 (XXRDFPNJJFTRBPPZZJRN, ZERFPMACHLWRZGFOHIUY) = BGZBJWMSXFCZXQPOHYCK M\n",
      "568 (BBHVTJLPPTFHXJJZZPHL, ZUHTJMYWRNCHZSTKRQEA) = XSZXPCMGBTWZBIJKRAWO M\n",
      "569 (XXRDFPNJJFTRBPPZZJRN, VBPJZFXHNPZPDDHRTJDF) = XDXFTPJXDJFXBNRRTZLR E\n",
      "570 (BBHVTJLPPTFHXJJZZPHL, DXJPZTBRLJZJVVRHFPVT) = BVBTFJPBVPTBXLHHFZNH E\n",
      "571 (XXRDFPNJJFTRBPPZZJRN, RYNNJYUMTTCNHAJUFKMM) = TAVJDIGCJNIVFKTUFAUY M\n",
      "572 (BBHVTJLPPTFHXJJZZPHL, HALLPAEMFFWLRYPETOMM) = FYDPVQSWPLQDTOFETYEA M\n",
      "573 (XXRDFPNJJFTRBPPZZJRN, NVLRTRRRZXFLLXLXRLVT) = PXTNNBDHPRLTJHVXRBDF E\n",
      "574 (BBHVTJLPPTFHXJJZZPHL, LDNHFHHHZBTNNBNBHNDF) = JBFLLXVRJHNFPRDBHXVT E\n",
      "575 (BATZVWQEDBQTXSNWNIIG, NVLRTRRRZXFLLXLXRLVT) = LURRXUAMVVORNEXADCMM M\n",
      "576 (XYFZDCIUVXIFBGLCLQQS, LDNHFHHHZBTNNBNBHNDF) = NEHHBEYMDDKHLUBYVWMM M\n",
      "577 (FDVVLDTZXXNVTVLTBHZZ, NVLRTRRRZXFLLXLXRLVT) = HRPVHNXRBZRPRBZDPDVT E\n",
      "578 (TVDDNVFZBBLDFDNFXRZZ, LDNHFHHHZBTNNBNBHNDF) = RHJDRLBHXZHJHXZVJVDF E\n",
      "579 (JGXRBKWURTKXPYJQPGQS, NVLRTRRRZXFLLXLXRLVT) = DONZRGUWHDUNVYBGBEEA M\n",
      "580 (PSBHXOCEHFOBJAPIJSIG, LDNHFHHHZBTNNBNBHNDF) = VKLZHSECRVELDAXSXUUY M\n",
      "581 (NJZNRRZPLPHZLBHNDFHL, NVLRTRRRZXFLLXLXRLVT) = ZLLDBZRBNHXLZVDJNFNH E\n",
      "582 (LPZLHHZJNJRZNXRLVTRN, LDNHFHHHZBTNNBNBHNDF) = ZNNVXZHXLRBNZDVPLTLR E\n",
      "583 (VPDFXFFFZHBDDHDHFDPX, MUHTJMYWENCHZFTKRDRA) = QEDNLGSQEFADVXPCLZBC M\n",
      "584 (DJVTBTTTZRXVVRVRTVJB, MERFPMACULWRZTFOHVHY) = IUVLNSGIUTYVDBJWNZXW M\n",
      "585 (VPDFXFFFZHBDDHDHFDPX, DLXLXTJPXBBXVZNXRJHL) = HVTFZNDJXTZTRRJPLFRN E\n",
      "586 (DJVTBTTTZRXVVRVRTVJB, VNBNBFPJBXXBDZLBHPRN) = RDFTZLVPBFZFHHPJNTHL E\n",
      "587 (VPDFXFFFZHBDDHDHFDPX, UCNDLAUIQPANRTHKRPXW) = YMJXNUOCQHYJNLDCLLHY M\n",
      "588 (DJVTBTTTZRXVVRVRTVJB, EWLVNYEQIJYLHFROHJBC) = AMPBLEKWIRAPLNVWNNRA M\n",
      "589 (VPDFXFFFZHBDDHDHFDPX, LTDVZHFBJDZDNNBXRVNH) = PDZPBBZVJVXZJFXPLRXJ E\n",
      "590 (DJVTBTTTZRXVVRVRTVJB, NFVDZRTXPVZVLLXBHDLR) = JVZJXXZDPDBZPTBJNHBP E\n",
      "591 (VPDFXFFFZHBDDHDHFDPX, CKTNNOQUCRYTJHVKRBDS) = GUPHPIKOCJWPFZRCLXNU M\n",
      "592 (DJVTBTTTZRXVVRVRTVJB, WOFLLKIEWHAFPRDOHXVG) = SEJRJQOKWPCJTZHWNBLE M\n",
      "593 (VPDFXFFFZHBDDHDHFDPX, TBJFBVBNVFXJFBPXRHTD) = XLFZDPVHVXVFBTLPLDDF E\n",
      "594 (DJVTBTTTZRXVVRVRTVJB, FXPTXDXLDTBPTXJBHRFV) = BNTZVJDRDBDTXFNJNVVT E\n",
      "595 (EYNNJYUMGTCNHNJUFXZM, TBJFBVBNVFXJFBPXRHTD) = OCVRRWGAOLUVXNFCLJTQ M\n",
      "596 (UALLPAEMSFWLRLPETBZM, FXPTXDXLDTBPTXJBHRFV) = KWDHHCSYKNEDBLTWNPFI M\n",
      "597 (NHXVVRJTNFDXLTPHFRJB, TBJFBVBNVFXJFBPXRHTD) = FTLJFDRTHZTLTHZPLPJB E\n",
      "598 (LRBDDHPFLTVBNFJRTHPX, FXPTXDXLDTBPTXJBHRFV) = TFNPTVHFRZFNFRZJNJPX E\n",
      "599 (WQHDHKYAUREHPZVUFLTQ, TBJFBVBNVFXJFBPXRHTD) = WKBBTKCMANSBPBTCLVZM M\n",
      "600 (CIRVROAYEHURJZDETNFI, FXPTXDXLDTBPTXJBHRFV) = COXXFOWMYLGXJXFWNDZM M\n",
      "601 (DGFFHGIMPPEFVSHIJAMM, ZVVPHZTHDFRVZJPNDXDF) = VOPJZSKUNPMPDQHETWQS M\n",
      "602 (VSTTRSQMJJUTDGRQPYMM, ZDDJRZFRVTHDZPJLVBVT) = DKJPZGOELJMJVIRUFCIG M\n",
      "603 (DGFFHGIMPPEFVSHIJAMM, EBDBDLFTQVVDHMXDPSWB) = AUXVVEWGAFQXLTPUFRJO M\n",
      "604 (VSTTRSQMJJUTDGRQPYMM, UXVXVNTFIDDVRMBVJGCX) = YEBDDUCSYTIBNFJETHPK M\n",
      "605 (DGFFHGIMPPEFVSHIJAMM, UPNDLNHVQPNNRGHXRCKJ) = QIHXDGYIAZIHVNZOHBXW M\n",
      "606 (VSTTRSQMJJUTDGRQPYMM, EJLVNLRDIJLLHSRBHWOP) = IQRBVSAQYZQRDLZKRXBC M\n",
      "607 (DGFFHGIMPPEFVSHIJAMM, JHLNZXRFDLZLPPFTBNPX) = FAFHRQISNVUFTWXKRMCK M\n",
      "608 (VSTTRSQMJJUTDGRQPYMM, PRNLZBHTVNZNJJTFXLJB) = TYTRHIQGLDETFCBOHMWO M\n",
      "609 (DGFFHGIMPPEFVSHIJAMM, PJFRPBVJDZJFJDZHFHRN) = LCZLHUMWNJEZNKRYVGEA M\n",
      "610 (VSTTRSQMJJUTDGRQPYMM, JPTHJXDPVZPTPVZRTRHL) = NWZNREMCLPUZLOHADSUY M\n",
      "611 (DGFFHGIMPPEFVSHIJAMM, ONTZVJDRQBDTXSNJNIIT) = KGNTNCUEALYNBZFADHVG M\n",
      "612 (VSTTRSQMJJUTDGRQPYMM, KLFZDPVHIXVFBGLPLQQF) = OSLFLWEUYNALXZTYVRDS M\n",
      "613 (DGFFHGIMPPEFVSHIJAMM, KDXFTPJXQJFXBARRTMYR) = GWRZLIAKATARFHJIJLLE M\n",
      "614 (VSTTRSQMJJUTDGRQPYMM, OVBTFJPBIPTBXYHHFMAH) = SCHZNQYOYFYHTRPQPNNU M\n",
      "615 (DGFFHGIMPPEFVSHIJAMM, FXPTXDXLDTBPTXJBHRFV) = BQJNPWOYNDWJXEBSXQSI M\n",
      "616 (VSTTRSQMJJUTDGRQPYMM, TBJFBVBNVFXJFBPXRHTD) = XIPLJCKALVCPBUXGBIGQ M\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "617 (OOHVTWYCCTSHXJJMZPHY, ZERFPMACHLWRZGFOHIUY) = KPJJVPBZERDJBWVBHSMZ M\n",
      "618 (KKRDFCAWWFGRBPPMZJRA, ZUHTJMYWRNCHZSTKRQEA) = OJPPDJXZUHVPXCDXRGMZ M\n",
      "619 (OOHVTWYCCTSHXJJMZPHY, VBPJZFXHNPZPDDHRTJDF) = GMHNFIYEKVGHFTXETTVG M\n",
      "620 (KKRDFCAWWFGRBPPMZJRA, DXJPZTBRLJZJVVRHFPVT) = SMRLTQAUODSRTFBUFFDS M\n",
      "621 (OOHVTWYCCTSHXJJMZPHY, RYNNJYUMTTCNHAJUFKMM) = CJFRPBVJQZJFJQZHFUEN M\n",
      "622 (KKRDFCAWWFGRBPPMZJRA, HALLPAEMFFWLRYPETOMM) = WPTHJXDPIZPTPIZRTEUL M\n",
      "623 (OOHVTWYCCTSHXJJMZPHY, NVLRTRRRZXFLLXLXRLVT) = YGDVZUSOWDMDNNBKRVNU M\n",
      "624 (KKRDFCAWWFGRBPPMZJRA, LDNHFHHHZBTNNBNBHNDF) = ASVDZEGKCVMVLLXOHDLE M\n",
      "625 (SRJRJDBXWPPJTMHJNOYR, NVLRTRRRZXFLLXLXRLVT) = UDBZJNPTCHPBRKDNDWWB M\n",
      "626 (GHPHPVXBCJJPFMRPLKAH, LDNHFHHHZBTNNBNBHNDF) = EVXZPLJFWRJXHOVLVCCX M\n",
      "627 (WULNZKESQLMLPPFGBNPK, NVLRTRRRZXFLLXLXRLVT) = QAZDTGMYILSZVHFQPXFI M\n",
      "628 (CENLZOUGINMNJJTSXLJO, LDNHFHHHZBTNNBNBHNDF) = IYZVFSMAQNGZDRTIJBTQ M\n",
      "629 (AXNJPRHNKHJNLSDDPMGD, NVLRTRRRZXFLLXLXRLVT) = MXXHDZJDOPVXZEHTBYOP M\n",
      "630 (YBLPJHRLORPLNGVVJMSV, LDNHFHHHZBTNNBNBHNDF) = MBBRVZPVKJDBZURFXAKJ M\n",
      "631 (QJVTBTTTMRXVVEVRTIWB, UCNDLAUIQPANRTHKRPXW) = DSRJJGAODXCRVOLSXGAU M\n",
      "632 (IPDFXFFFMHBDDUDHFQCX, EWLVNYEQIJYLHFROHJBC) = VGHPPSYKVBWHDKNGBSYE M\n",
      "633 (QJVTBTTTMRXVVEVRTIWB, LTDVZHFBJDZDNNBXRVNH) = UJHBXNLHWLBHRIFFXMQF M\n",
      "634 (IPDFXFFFMHBDDUDHFQCX, NFVDZRTXPVZVLLXBHDLR) = EPRXBLNRCNXRHQTTBMIT M\n",
      "635 (QJVTBTTTMRXVVEVRTIWB, CKTNNOQUCRYTJHVKRBDS) = LAXTLUWAPZAXNCZSXSGQ M\n",
      "636 (IPDFXFFFMHBDDUDHFQCX, WOFLLKIEWHAFPRDOHXVG) = NYBFNECYJZYBLWZGBGSI M\n",
      "637 (QJVTBTTTMRXVVEVRTIWB, TBJFBVBNVFXJFBPXRHTD) = CRNLZBHTINZNJWTFXYWB M\n",
      "638 (IPDFXFFFMHBDDUDHFQCX, FXPTXDXLDTBPTXJBHRFV) = WHLNZXRFQLZLPCFTBACX M\n",
      "639 (ZSFBNMIATDYFZKBETCGQ, TBJFBVBNVFXJFBPXRHTD) = TIDDNISMBBYDFQNSXEMM M\n",
      "640 (ZGTXLMQYFVATZOXUFWSI, FXPTXDXLDTBPTXJBHRFV) = FQVVLQGMXXAVTILGBUMM M\n",
      "641 (IBPJZFXHAPZPDQHRTWQF, TBJFBVBNVFXJFBPXRHTD) = KZTVBPDFUPXTBKHFXKCX M\n",
      "642 (QXJPZTBRYJZJVIRHFCIT, FXPTXDXLDTBPTXJBHRFV) = OZFDXJVTEJBFXORTBOWB M\n",
      "643 (ZVVPHZTHDFRVZJPNDXDF, ZDDJRZFRVTHDZPJLVBVT) = ZHHTJZLJRNPHZFTXRDRN E\n",
      "644 (ZDDJRZFRVTHDZPJLVBVT, ZVVPHZTHDFRVZJPNDXDF) = ZRRFPZNPHLJRZTFBHVHL E\n",
      "645 (ZVVPHZTHDFRVZJPNDXDF, UXVXVNTFIDDVRMBVJGCX) = UBZHNNZXEXLZRCLHFIYR M\n",
      "646 (ZDDJRZFRVTHDZPJLVBVT, EBDBDLFTQVVDHMXDPSWB) = EXZRLLZBUBNZHWNRTQAH M\n",
      "647 (ZVVPHZTHDFRVZJPNDXDF, EJLVNLRDIJLLHSRBHWOP) = ENPFFLXVEDTPHIBNDYKJ M\n",
      "648 (ZDDJRZFRVTHDZPJLVBVT, UPNDLNHVQPNNRGHXRCKJ) = ULJTTNBDUVFJRQXLVAOP M\n",
      "649 (ZVVPHZTHDFRVZJPNDXDF, PRNLZBHTVNZNJJTFXLJB) = PVRVRBNLRHHRJZDRTNFV E\n",
      "650 (ZDDJRZFRVTHDZPJLVBVT, JHLNZXRFDLZLPPFTBNPX) = JDHDHXLNHRRHPZVHFLTD E\n",
      "651 (ZVVPHZTHDFRVZJPNDXDF, JPTHJXDPVZPTPVZRTRHL) = JTXRBXJHRTXXPLJDPTDF E\n",
      "652 (ZDDJRZFRVTHDZPJLVBVT, PJFRPBVJDZJFJDZHFHRN) = PFBHXBPRHFBBJNPVJFVT E\n",
      "653 (TTBLRVPDDRHBFVVZZDBP, HALLPAEMFFWLRYPETOMM) = NGJZXEOIBNOJLCTETKKW M\n",
      "654 (FFXNHDJVVHRXTDDZZVXJ, RYNNJYUMTTCNHAJUFKMM) = LSPZBUKQXLKPNWFUFOOC M\n",
      "655 (TTBLRVPDDRHBFVVZZDBP, LDNHFHHHZBTNNBNBHNDF) = RJLVNLRDVJLLHFRBHJBP E\n",
      "656 (FFXNHDJVVHRXTDDZZVXJ, NVLRTRRRZXFLLXLXRLVT) = HPNDLNHVDPNNRTHXRPXJ E\n",
      "657 (PQZPBOMIJVKZJSXCLEKW, LDNHFHHHZBTNNBNBHNDF) = VMNRDSUYPFINDIPYVISI M\n",
      "658 (JIZJXKMQPDOZPGBWNUOC, NVLRTRRRZXFLLXLXRLVT) = DMLHVGEAJTQLVQJADQGQ M\n",
      "659 (LNXTLHJNPZNXNPZFXFTD, LDNHFHHHZBTNNBNBHNDF) = ZPPNTZXTJBFPZLNVJHJB E\n",
      "660 (NLBFNRPLJZLBLJZTBTFV, NVLRTRRRZXFLLXLXRLVT) = ZJJLFZBFPXTJZNLDPRPX E\n",
      "661 (NVLRTRRRZXFLLXLXRLVT, WOFLLKIEWHAFPRDOHXVG) = ISTTRSQMWJUTDTRQPLZM M\n",
      "662 (LDNHFHHHZBTNNBNBHNDF, CKTNNOQUCRYTJHVKRBDS) = QGFFHGIMCPEFVFHIJNZM M\n",
      "663 (NVLRTRRRZXFLLXLXRLVT, FXPTXDXLDTBPTXJBHRFV) = RBDBDLFTDVVDHZXDPFJB E\n",
      "664 (LDNHFHHHZBTNNBNBHNDF, TBJFBVBNVFXJFBPXRHTD) = HXVXVNTFVDDVRZBVJTPX E\n",
      "665 (EMBJHYCKSLEBHRFKRRLE, FXPTXDXLDTBPTXJBHRFV) = AKNJPEUAKHWNLFDQPZTQ M\n",
      "666 (UMXPRAWOGNUXRHTOHHNU, TBJFBVBNVFXJFBPXRHTD) = YOLPJUEYORCLNTVIJZFI M\n",
      "667 (QQPRNGKSSNYPVTTMZFPK, ZRRFPZNPHLJRZTFBHVHL) = IABNBSCWOXKBDZLOHPRA M\n",
      "668 (IIJHLSOGGLAJDFFMZTJO, ZHHTJZLJRNPHZFTXRDRN) = QYXLXGWCKBOXVZNKRJHY M\n",
      "669 (QQPRNGKSSNYPVTTMZFPK, ULJTTNBDUVFJRQXLVAOP) = DUTBFGQKBHGTVWDYVUYE M\n",
      "670 (IIJHLSOGGLAJDFFMZTJO, ENPFFLXVEDTPHIBNDYKJ) = VEFXTSIOXRSFDCVADEAU M\n",
      "671 (QQPRNGKSSNYPVTTMZFPK, DMLHVGEAJTQLVQJADQGQ) = MVVPHZTHQFRVZWPNDKQF M\n",
      "672 (IIJHLSOGGLAJDFFMZTJO, VMNRDSUYPFINDIPYVISI) = MDDJRZFRITHDZCJLVOIT M\n"
     ]
    }
   ],
   "source": [
    "_ = distance_calculator('QQPRNGKSSNYPVTTMZFPK', 'UTRNDNNNMJVRRWRJNEGD', True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "00 (QQPRNGKSSNYPVTTMZFPK, DCBVPGCUTVWBVCXWNYQS) = EFHLVLLLMPDHHCHPLUSV M\n"
     ]
    }
   ],
   "source": [
    "_ = distance_calculator('QQPRNGKSSNYPVTTMZFPK', 'DCBVPGCUTVWBVCXWNYQS', False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Another interesting fact about this is that the patterns always appear at the same row numbers although the order of the pattern changes depending on which pairs are being examined.\n",
    "\n",
    "Where you are looking at a given cipher and it's associated Z value, the pattern is always at position 22, whilst when you are looking across ciphers, the pattern is always at positions 488, 515 and 540.\n",
    "\n",
    "Whether there is anything in this binary location or not is indeterminate but one thing this does seem to prove is there are two keys which unlock the first half of the cipher which can be recognised as follows:\n",
    "\n",
    "- Key 1 XOR'd with ciphertext creates \n",
    "  - MZZZZZZZM at positions 26 - 34\n",
    "  - ZZZZMZZZMMZ at positions 64 - 75\n",
    "- Key 2 XOR'd with the ciphertext creates \n",
    "  - ZMZZZMMMZ at positions 26 - 34\n",
    "  - ZMZZMZMZMMM at positions 64 - 75\n",
    "  \n",
    "Now we need two new methods, one XORs two values, returning M if either position is odd and Z if both positions are the same.\n",
    "\n",
    "The second method will apply XOR to two entire strings, returning a string of M's and Z's"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "def xor(a, b):\n",
    "    a = decipher.a2i(a) % 2 == 0\n",
    "    b = decipher.a2i(b) % 2 == 0\n",
    "    return 'Z' if a == b == 0 else 'M'\n",
    "\n",
    "def xor_apply(cipher, intermediate):\n",
    "    returnvalue = ''\n",
    "    if len(cipher) != len(intermediate):\n",
    "        print('Parameter lengths do not match')\n",
    "        return None\n",
    "\n",
    "    for i in range(len(cipher)):\n",
    "        returnvalue += xor(cipher[i], intermediate[i])\n",
    "    return returnvalue\n",
    "\n",
    "def xor_verify(string):\n",
    "    \"\"\"\n",
    "    Validates positions in the xor string to see if they match a known pattern\n",
    "    \"\"\"\n",
    "    patterns = [\n",
    "        ('MZZZZZZZM', 'ZZZZMZZZMMZ'),\n",
    "        ('ZMZZZMMMZ', 'ZMZZMZMZMMM')\n",
    "    ]\n",
    "    flipped = [\n",
    "        ('ZMMMMMMMZ', 'MMMMZMMMZZM'),\n",
    "        ('MZMMMZZZM', 'MZMMZMZMZZZ')\n",
    "    ]\n",
    "    \n",
    "    pos_a = string[25:33]\n",
    "    pos_b = string[63:73]\n",
    "    for pattern in patterns:\n",
    "        if pos_a == pattern[0] and pos_b == pattern[1]:\n",
    "            print('Possible match found')\n",
    "            return True\n",
    "        else:\n",
    "            if pos_a == flipped[0] and pos_b == flipped[1]:\n",
    "                print('Possible flipped match found')\n",
    "                return False\n",
    "    return False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There may also be the requirement to upgrade the wheels as the nature of these changes slightly.\n",
    "\n",
    "We know that each position represented above is either odd, or even. That means that each wheel can turn only to the value it represents, e.g. An even wheel may only turn to an even position (B, D, F, H...) whilst an odd wheel may only turn to an odd position (A, C, E, G...)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So, revalation moment here. Last week I picked up on something whereby it's possible to split the alphabet into two halves by running the index position against the character and then mapping it to 'Z'\n",
    "\n",
    "In the distance calculator function above, I have now included a flag to tell if the line is all odd, all even or mixed.\n",
    "\n",
    "What is interesting about this flag is it tells me that many of the combinations end up all even regardless of the combination being used and none of them end up all odd.\n",
    "\n",
    "Now, at face value, this might not tell us much but actually, it speaks volumes in hidden tones.\n",
    "\n",
    "For example, if you look at the values for `distance_calculator('DCBVPGCUTVWBVCXWNYQS', 'VWXDJSWEFDCXDWBCLAIG')` above, there are 22 rows generated. 11 of these can be discounted immediately because they contain inverted pairs (pairs previously calculated but the other way around), this leaves 11 pairs. Of those, 6 are mixed leaving 5 unique even pairs.\n",
    "\n",
    "Now look at the same for `distance_calculator('UTRNDNNNMJVRRWRJNEGD', 'EFHLVLLLMPDHHCHPLUSV')`, what we see is the exact same pattern.\n",
    "\n",
    "Actually, I'm wrong, we don't discount the inverse patterns as they themselves are distinct, instead we use these to aid in targetting just the combinations we need.\n",
    "\n",
    "## How?\n",
    "\n",
    "OK so I guess this is the multi-million $ question: How do we target this?\n",
    "\n",
    "I guess the first thing to do is work out if there is any pattern between the even spaced keys across keysets, so let's collect those:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[['QQPRNGKSSNYPVTTMZFPK',\n",
       "  'IIJHLSOGGLAJDFFMZTJO',\n",
       "  'RRTPXLDNNXBTHLLZZNTD',\n",
       "  'HHFJBNVLLBXFRNNZZLFV',\n",
       "  'AADXJESUUJCDLRRMZHDS',\n",
       "  'YYVBPUGEEPWVNHHMZRVG',\n",
       "  'PPLTDBRXXDVLJBBZZXLR',\n",
       "  'JJNFVXHBBVDNPXXZZBNH',\n",
       "  'SSXNHQWIIHEXTDDMZVXW',\n",
       "  'GGBLRICQQRUBFVVMZDBC',\n",
       "  'XXRDFPNJJFTRBPPZZJRN',\n",
       "  'BBHVTJLPPTFHXJJZZPHL',\n",
       "  'OOHVTWYCCTSHXJJMZPHY',\n",
       "  'KKRDFCAWWFGRBPPMZJRA',\n",
       "  'TTBLRVPDDRHBFVVZZDBP',\n",
       "  'FFXNHDJVVHRXTDDZZVXJ',\n",
       "  'CCLTDOEKKDILJBBMZXLE',\n",
       "  'WWNFVKUOOVQNPXXMZBNU',\n",
       "  'NNDXJRFHHJPDLRRZZHDF',\n",
       "  'LLVBPHTRRPJVNHHZZRVT',\n",
       "  'EETPXYQAAXOTHLLMZNTQ',\n",
       "  'UUFJBAIYYBKFRNNMZLFI',\n",
       "  'DDPRNTXFFNLPVTTZZFPX',\n",
       "  'VVJHLFBTTLNJDFFZZTJB',\n",
       "  'MMZZZMMMMZMZZZZMZZZM'],\n",
       " ['DCBVPGCUTVWBVCXWNYQS',\n",
       "  'VWXDJSWEFDCXDWBCLAIG',\n",
       "  'RTVHTLTJLHFVHTDFXBRN',\n",
       "  'HFDRFNFPNRTDRFVTBXHL',\n",
       "  'NQTLDEQORLITLQFIJCAU',\n",
       "  'LIFNVUIKHNQFNITQPWYE',\n",
       "  'PLHJLBLFBJNHJLRNDVPX',\n",
       "  'JNRPNXNTXPLRPNHLVDJB',\n",
       "  'FKPTXQKYDTOPTKJOHESI',\n",
       "  'TOJFBIOAVFKJFOPKRUGQ',\n",
       "  'XRLBRPRVPBHLBRNHFTXJ',\n",
       "  'BHNXHJHDJXRNXHLRTFBP',\n",
       "  'BUNXHWUQJXENXULETSOC',\n",
       "  'XELBRCEIPBULBENUFGKW',\n",
       "  'TBJFBVBNVFXJFBPXRHTD',\n",
       "  'FXPTXDXLDTBPTXJBHRFV',\n",
       "  'PYHJLOYSBJAHJYRADICK',\n",
       "  'JARPNKAGXPYRPAHYVQWO',\n",
       "  'NDTLDRDBRLVTLDFVJPNH',\n",
       "  'LVFNVHVXHNDFNVTDPJLR',\n",
       "  'RGVHTYGWLHSVHGDSXOEA',\n",
       "  'HSDRFASCNRGDRSVGBKUY',\n",
       "  'DPBVPTPHTVJBVPXJNLDF',\n",
       "  'VJXDJFJRFDPXDJBPLNVT',\n",
       "  'ZMZZZMMMZZMZZMZMZMMM'],\n",
       " ['UTRNDNNNMJVRRWRJNEGD',\n",
       "  'EFHLVLLLMPDHHCHPLUSV',\n",
       "  'JLPXRXXXZFHPPFPFXPLR',\n",
       "  'PNJBHBBBZTRJJTJTBJNH',\n",
       "  'ORXJNJJJMVLXXIXVJKEN',\n",
       "  'KHBPLPPPMDNBBQBDPOUL',\n",
       "  'FBTDPDDDZNJTTNTNDTBP',\n",
       "  'TXFVJVVVZLPFFLFLVFXJ',\n",
       "  'YDNHFHHHMBTNNONBHAQF',\n",
       "  'AVLRTRRRMXFLLKLXRYIT',\n",
       "  'VPDFXFFFZHBDDHDHFDPX',\n",
       "  'DJVTBTTTZRXVVRVRTVJB',\n",
       "  'QJVTBTTTMRXVVEVRTIWB',\n",
       "  'IPDFXFFFMHBDDUDHFQCX',\n",
       "  'NVLRTRRRZXFLLXLXRLVT',\n",
       "  'LDNHFHHHZBTNNBNBHNDF',\n",
       "  'SBTDPDDDMNJTTATNDGOP',\n",
       "  'GXFVJVVVMLPFFYFLVSKJ',\n",
       "  'BRXJNJJJZVLXXVXVJXRN',\n",
       "  'XHBPLPPPZDNBBDBDPBHL',\n",
       "  'WLPXRXXXMFHPPSPFXCYR',\n",
       "  'CNJBHBBBMTRJJGJTBWAH',\n",
       "  'HTRNDNNNZJVRRJRJNRTD',\n",
       "  'RFHLVLLLZPDHHPHPLHFV',\n",
       "  'MZZZZZZZMZZZZMZZZMMZ']]"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "distances = [\n",
    "    [i for (i, e) in distance_calculator('QQPRNGKSSNYPVTTMZFPK', 'IIJHLSOGGLAJDFFMZTJO', print_str=False)],\n",
    "    [i for (i, e) in distance_calculator('DCBVPGCUTVWBVCXWNYQS', 'VWXDJSWEFDCXDWBCLAIG', print_str=False)],\n",
    "    [i for (i, e) in distance_calculator('UTRNDNNNMJVRRWRJNEGD', 'EFHLVLLLMPDHHCHPLUSV', print_str=False)],\n",
    "]\n",
    "distances"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     02, 04, 06, 08, 10, 12, 14, 16, 18, 20, 22, 24, 26\n",
      "-----------------------------------------------------------------------------------\n",
      "      Q   Q   P   R   N   G   K   S   S   N   Y   P   V   T   T   M   Z   F   P   K\n",
      "      N   O   R   T   H   E   A   S   T   B   E   R   L   I   N   C   L   O   C   K\n",
      "01 | 17, 17, 16, 18, 14, 07, 11, 19, 19, 14, 25, 16, 22, 20, 20, 13, 26, 06, 16, 11\n",
      "02 | 09, 09, 10, 08, 12, 19, 15, 07, 07, 12, 01, 10, 04, 06, 06, 13, 26, 20, 10, 15\n",
      "03 | 18, 18, 20, 16, 24, 12, 04, 14, 14, 24, 02, 20, 08, 12, 12, 26, 26, 14, 20, 04\n",
      "04 | 08, 08, 06, 10, 02, 14, 22, 12, 12, 02, 24, 06, 18, 14, 14, 26, 26, 12, 06, 22\n",
      "05 | 01, 01, 04, 24, 10, 05, 19, 21, 21, 10, 03, 04, 12, 18, 18, 13, 26, 08, 04, 19\n",
      "06 | 25, 25, 22, 02, 16, 21, 07, 05, 05, 16, 23, 22, 14, 08, 08, 13, 26, 18, 22, 07\n",
      "07 | 16, 16, 12, 20, 04, 02, 18, 24, 24, 04, 22, 12, 10, 02, 02, 26, 26, 24, 12, 18\n",
      "08 | 10, 10, 14, 06, 22, 24, 08, 02, 02, 22, 04, 14, 16, 24, 24, 26, 26, 02, 14, 08\n",
      "09 | 19, 19, 24, 14, 08, 17, 23, 09, 09, 08, 05, 24, 20, 04, 04, 13, 26, 22, 24, 23\n",
      "10 | 07, 07, 02, 12, 18, 09, 03, 17, 17, 18, 21, 02, 06, 22, 22, 13, 26, 04, 02, 03\n",
      "11 | 24, 24, 18, 04, 06, 16, 14, 10, 10, 06, 20, 18, 02, 16, 16, 26, 26, 10, 18, 14\n",
      "12 | 02, 02, 08, 22, 20, 10, 12, 16, 16, 20, 06, 08, 24, 10, 10, 26, 26, 16, 08, 12\n",
      "13 | 15, 15, 08, 22, 20, 23, 25, 03, 03, 20, 19, 08, 24, 10, 10, 13, 26, 16, 08, 25\n",
      "14 | 11, 11, 18, 04, 06, 03, 01, 23, 23, 06, 07, 18, 02, 16, 16, 13, 26, 10, 18, 01\n",
      "15 | 20, 20, 02, 12, 18, 22, 16, 04, 04, 18, 08, 02, 06, 22, 22, 26, 26, 04, 02, 16\n",
      "16 | 06, 06, 24, 14, 08, 04, 10, 22, 22, 08, 18, 24, 20, 04, 04, 26, 26, 22, 24, 10\n",
      "17 | 03, 03, 12, 20, 04, 15, 05, 11, 11, 04, 09, 12, 10, 02, 02, 13, 26, 24, 12, 05\n",
      "18 | 23, 23, 14, 06, 22, 11, 21, 15, 15, 22, 17, 14, 16, 24, 24, 13, 26, 02, 14, 21\n",
      "19 | 14, 14, 04, 24, 10, 18, 06, 08, 08, 10, 16, 04, 12, 18, 18, 26, 26, 08, 04, 06\n",
      "20 | 12, 12, 22, 02, 16, 08, 20, 18, 18, 16, 10, 22, 14, 08, 08, 26, 26, 18, 22, 20\n",
      "21 | 05, 05, 20, 16, 24, 25, 17, 01, 01, 24, 15, 20, 08, 12, 12, 13, 26, 14, 20, 17\n",
      "22 | 21, 21, 06, 10, 02, 01, 09, 25, 25, 02, 11, 06, 18, 14, 14, 13, 26, 12, 06, 09\n",
      "23 | 04, 04, 16, 18, 14, 20, 24, 06, 06, 14, 12, 16, 22, 20, 20, 26, 26, 06, 16, 24\n",
      "24 | 22, 22, 10, 08, 12, 06, 02, 20, 20, 12, 14, 10, 04, 06, 06, 26, 26, 20, 10, 02\n",
      "25 | 13, 13, 26, 26, 26, 13, 13, 13, 13, 26, 13, 26, 26, 26, 26, 13, 26, 26, 26, 13\n",
      "\n",
      "      N   O   R   T   H   E   A   S   T   B   E   R   L   I   N   C   L   O   C   K\n",
      "01 | 04, 03, 02, 22, 16, 07, 03, 21, 20, 22, 23, 02, 22, 03, 24, 23, 14, 25, 17, 19\n",
      "02 | 22, 23, 24, 04, 10, 19, 23, 05, 06, 04, 03, 24, 04, 23, 02, 03, 12, 01, 09, 07\n",
      "03 | 18, 20, 22, 08, 20, 12, 20, 10, 12, 08, 06, 22, 08, 20, 04, 06, 24, 02, 18, 14\n",
      "04 | 08, 06, 04, 18, 06, 14, 06, 16, 14, 18, 20, 04, 18, 06, 22, 20, 02, 24, 08, 12\n",
      "05 | 14, 17, 20, 12, 04, 05, 17, 15, 18, 12, 09, 20, 12, 17, 06, 09, 10, 03, 01, 21\n",
      "06 | 12, 09, 06, 14, 22, 21, 09, 11, 08, 14, 17, 06, 14, 09, 20, 17, 16, 23, 25, 05\n",
      "07 | 16, 12, 08, 10, 12, 02, 12, 06, 02, 10, 14, 08, 10, 12, 18, 14, 04, 22, 16, 24\n",
      "08 | 10, 14, 18, 16, 14, 24, 14, 20, 24, 16, 12, 18, 16, 14, 08, 12, 22, 04, 10, 02\n",
      "09 | 06, 11, 16, 20, 24, 17, 11, 25, 04, 20, 15, 16, 20, 11, 10, 15, 08, 05, 19, 09\n",
      "10 | 20, 15, 10, 06, 02, 09, 15, 01, 22, 06, 11, 10, 06, 15, 16, 11, 18, 21, 07, 17\n",
      "11 | 24, 18, 12, 02, 18, 16, 18, 22, 16, 02, 08, 12, 02, 18, 14, 08, 06, 20, 24, 10\n",
      "12 | 02, 08, 14, 24, 08, 10, 08, 04, 10, 24, 18, 14, 24, 08, 12, 18, 20, 06, 02, 16\n",
      "13 | 02, 21, 14, 24, 08, 23, 21, 17, 10, 24, 05, 14, 24, 21, 12, 05, 20, 19, 15, 03\n",
      "14 | 24, 05, 12, 02, 18, 03, 05, 09, 16, 02, 21, 12, 02, 05, 14, 21, 06, 07, 11, 23\n",
      "15 | 20, 02, 10, 06, 02, 22, 02, 14, 22, 06, 24, 10, 06, 02, 16, 24, 18, 08, 20, 04\n",
      "16 | 06, 24, 16, 20, 24, 04, 24, 12, 04, 20, 02, 16, 20, 24, 10, 02, 08, 18, 06, 22\n",
      "17 | 16, 25, 08, 10, 12, 15, 25, 19, 02, 10, 01, 08, 10, 25, 18, 01, 04, 09, 03, 11\n",
      "18 | 10, 01, 18, 16, 14, 11, 01, 07, 24, 16, 25, 18, 16, 01, 08, 25, 22, 17, 23, 15\n",
      "19 | 14, 04, 20, 12, 04, 18, 04, 02, 18, 12, 22, 20, 12, 04, 06, 22, 10, 16, 14, 08\n",
      "20 | 12, 22, 06, 14, 22, 08, 22, 24, 08, 14, 04, 06, 14, 22, 20, 04, 16, 10, 12, 18\n",
      "21 | 18, 07, 22, 08, 20, 25, 07, 23, 12, 08, 19, 22, 08, 07, 04, 19, 24, 15, 05, 01\n",
      "22 | 08, 19, 04, 18, 06, 01, 19, 03, 14, 18, 07, 04, 18, 19, 22, 07, 02, 11, 21, 25\n",
      "23 | 04, 16, 02, 22, 16, 20, 16, 08, 20, 22, 10, 02, 22, 16, 24, 10, 14, 12, 04, 06\n",
      "24 | 22, 10, 24, 04, 10, 06, 10, 18, 06, 04, 16, 24, 04, 10, 02, 16, 12, 14, 22, 20\n",
      "25 | 26, 13, 26, 26, 26, 13, 13, 13, 26, 26, 13, 26, 26, 13, 26, 13, 26, 13, 13, 13\n",
      "\n",
      "      N   O   R   T   H   E   A   S   T   B   E   R   L   I   N   C   L   O   C   K\n",
      "01 | 21, 20, 18, 14, 04, 14, 14, 14, 13, 10, 22, 18, 18, 23, 18, 10, 14, 05, 07, 04\n",
      "02 | 05, 06, 08, 12, 22, 12, 12, 12, 13, 16, 04, 08, 08, 03, 08, 16, 12, 21, 19, 22\n",
      "03 | 10, 12, 16, 24, 18, 24, 24, 24, 26, 06, 08, 16, 16, 06, 16, 06, 24, 16, 12, 18\n",
      "04 | 16, 14, 10, 02, 08, 02, 02, 02, 26, 20, 18, 10, 10, 20, 10, 20, 02, 10, 14, 08\n",
      "05 | 15, 18, 24, 10, 14, 10, 10, 10, 13, 22, 12, 24, 24, 09, 24, 22, 10, 11, 05, 14\n",
      "06 | 11, 08, 02, 16, 12, 16, 16, 16, 13, 04, 14, 02, 02, 17, 02, 04, 16, 15, 21, 12\n",
      "07 | 06, 02, 20, 04, 16, 04, 04, 04, 26, 14, 10, 20, 20, 14, 20, 14, 04, 20, 02, 16\n",
      "08 | 20, 24, 06, 22, 10, 22, 22, 22, 26, 12, 16, 06, 06, 12, 06, 12, 22, 06, 24, 10\n",
      "09 | 25, 04, 14, 08, 06, 08, 08, 08, 13, 02, 20, 14, 14, 15, 14, 02, 08, 01, 17, 06\n",
      "10 | 01, 22, 12, 18, 20, 18, 18, 18, 13, 24, 06, 12, 12, 11, 12, 24, 18, 25, 09, 20\n",
      "11 | 22, 16, 04, 06, 24, 06, 06, 06, 26, 08, 02, 04, 04, 08, 04, 08, 06, 04, 16, 24\n",
      "12 | 04, 10, 22, 20, 02, 20, 20, 20, 26, 18, 24, 22, 22, 18, 22, 18, 20, 22, 10, 02\n",
      "13 | 17, 10, 22, 20, 02, 20, 20, 20, 13, 18, 24, 22, 22, 05, 22, 18, 20, 09, 23, 02\n",
      "14 | 09, 16, 04, 06, 24, 06, 06, 06, 13, 08, 02, 04, 04, 21, 04, 08, 06, 17, 03, 24\n",
      "15 | 14, 22, 12, 18, 20, 18, 18, 18, 26, 24, 06, 12, 12, 24, 12, 24, 18, 12, 22, 20\n",
      "16 | 12, 04, 14, 08, 06, 08, 08, 08, 26, 02, 20, 14, 14, 02, 14, 02, 08, 14, 04, 06\n",
      "17 | 19, 02, 20, 04, 16, 04, 04, 04, 13, 14, 10, 20, 20, 01, 20, 14, 04, 07, 15, 16\n",
      "18 | 07, 24, 06, 22, 10, 22, 22, 22, 13, 12, 16, 06, 06, 25, 06, 12, 22, 19, 11, 10\n",
      "19 | 02, 18, 24, 10, 14, 10, 10, 10, 26, 22, 12, 24, 24, 22, 24, 22, 10, 24, 18, 14\n",
      "20 | 24, 08, 02, 16, 12, 16, 16, 16, 26, 04, 14, 02, 02, 04, 02, 04, 16, 02, 08, 12\n",
      "21 | 23, 12, 16, 24, 18, 24, 24, 24, 13, 06, 08, 16, 16, 19, 16, 06, 24, 03, 25, 18\n",
      "22 | 03, 14, 10, 02, 08, 02, 02, 02, 13, 20, 18, 10, 10, 07, 10, 20, 02, 23, 01, 08\n",
      "23 | 08, 20, 18, 14, 04, 14, 14, 14, 26, 10, 22, 18, 18, 10, 18, 10, 14, 18, 20, 04\n",
      "24 | 18, 06, 08, 12, 22, 12, 12, 12, 26, 16, 04, 08, 08, 16, 08, 16, 12, 08, 06, 22\n",
      "25 | 13, 26, 26, 26, 26, 26, 26, 26, 13, 26, 26, 26, 26, 13, 26, 26, 26, 13, 13, 26\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(\n",
    "    '     ' +\n",
    "    ', '.join([str(decipher.a2i(a)).zfill(2) for a in decipher.actual_alphabet if decipher.a2i(a) % 2 == 0])\n",
    ")\n",
    "\n",
    "print(''.join(['-' for _ in range(83)]))\n",
    "print('      Q   Q   P   R   N   G   K   S   S   N   Y   P   V   T   T   M   Z   F   P   K')\n",
    "d = []\n",
    "for item in distances:\n",
    "    current = []\n",
    "    i = 1\n",
    "    print('      N   O   R   T   H   E   A   S   T   B   E   R   L   I   N   C   L   O   C   K')\n",
    "    for string in item:\n",
    "        current.append([str(decipher.a2i(t)).zfill(2) for t in string])\n",
    "        print('{} | {}'.format(\n",
    "            str(i).zfill(2),\n",
    "            ', '.join(map(str, current[len(current)-1]))\n",
    "        ))\n",
    "        i += 1\n",
    "    d.append(current)\n",
    "    print()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It's not really clear from these tables exactly what is going on but there is clearly something. This seems to be a drawback of attempting an entirely programatic solution to the unknown.\n",
    "\n",
    "In the interim, I've taken these tables out and manipulated them within a [spreadsheet](pykryptos/alpha_tables.xlsx) which has shown something quite interesting.\n",
    "\n",
    "### Column sorting\n",
    "First I coloured each column so I could see how the columns distributed.\n",
    "![colour_grading](resources/graded_cipher.png)\n",
    "\n",
    "Next I sorted the columns into numerical order based on the value at the top of each column. This provided a set of 13 columns above which I wrote out the alphabet according to the columns it was associated with in the ciphertext. Although we don't have a complete alphabet in the known ciphertext, there was enough data available to complete the set.\n",
    "\n",
    "I then applied the same principle to the left and bottom of the table which left us with ![graded_evens](resources/graded_evens.png)\n",
    "\n",
    "Next we want to do the same with the mixed values from the collection. I didn't grade these as I already had an idea of what I was looking for (and it's a tedious process).\n",
    "\n",
    "What we're left with is an incomplete alphabet.\n",
    "\n",
    "![incomplete_alphabet.png](resources/incomplete_alphabet.png)\n",
    "\n",
    "With this, we know the values across the top row are sequential rising from 2, the second row is falling from 24, column 1 is missing so we can infer that the first two characters of this column are 1 and 25.\n",
    "\n",
    "The last row of this column is also just as easy as this is again, a binary system between 13 and 26 so the last row of column 1 is 13.\n",
    "\n",
    "We can go on to comlete column 1 by looking at the how the values are incrementing across the rest of the row which leads us to:\n",
    "\n",
    "![completed_alpha_table.png](resources/completed_alpha_table.png)\n",
    "\n",
    "You'll notice that on the right hand side, I've written out the index of the ciphertext. That's because there is something else interesting here.\n",
    "\n",
    "Take that index and modulate each value by 26."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('01', '14', '01', '14', '01', '14', '01', '14')\n",
      "('02', '15', '02', '15', '02', '15', '02', '15')\n",
      "('03', '16', '03', '16', '03', '16', '03', '16')\n",
      "('04', '17', '04', '17', '04', '17', '04', '17')\n",
      "('05', '18', '05', '18', '05', '18', '05', '18')\n",
      "('06', '19', '06', '19', '06', '19', '06', '19')\n",
      "('07', '20', '07', '20', '07', '20', '07', 'A')\n",
      "('08', '21', '08', '21', '08', '21', '08', 'A')\n",
      "('09', '22', '09', '22', '09', '22', '09', 'A')\n",
      "('10', '23', '10', '23', '10', '23', '10', 'A')\n",
      "('11', '24', '11', '24', '11', '24', '11', 'A')\n",
      "('12', '25', '12', '25', '12', '25', '12', 'A')\n",
      "('13', '26', '13', '26', '13', '26', '13', 'A')\n"
     ]
    }
   ],
   "source": [
    "rows = []\n",
    "current_col = 0\n",
    "for i in range(1, 98):\n",
    "    val = i % 26 if i % 26 != 0 else 26\n",
    "    \n",
    "    if val == 1 or val == 14:\n",
    "        current_col += 1 \n",
    "    \n",
    "    try:\n",
    "        rows[current_col - 1]\n",
    "    except IndexError:\n",
    "        rows.append([])\n",
    "    \n",
    "    rows[current_col - 1].append(str(val).zfill(2))\n",
    "\n",
    "# make all columns identical lengths for rotation:\n",
    "# If we don't do this, we lose information from the table\n",
    "# - we just need to delete this information afterwards\n",
    "for i in range(len(rows)-1):\n",
    "    while len(rows[i+1]) != len(rows[i]):\n",
    "        rows[i+1].append('A')\n",
    "rotated = list(zip(*reversed(rows)))\n",
    "_ = [print(row[::-1]) for row in rotated]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Again we come back to the Berlin clock and the principle of the seconds indicator at the top of the clock, only this time we've got additional information being displayed. So let's put that in place on the table.\n",
    "\n",
    "![completed_with_mask.png](resources/completed_with_mask.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In each table, find the intersection of the current cipher character. Where M is found, we create a square through K with the K intersection in the top left and the M intersection in the bottom right\n",
    "Where Z is found, use V in the top left\n",
    "Where K is found, bottom right is M\n",
    "where V is found, top left is K\n",
    "\n",
    "```\n",
    "           CIPHER                LACUNA\n",
    "1  QQPRNGKSSNYPVTTMZFPK = IIJHLSOGGLAJDFFMZTJO\n",
    "2  DCBVPGCUTVWBVCXWNYQS = VWXDJSWEFDCXDWBCLAIG\n",
    "3  UTRNDNNNMJVRRWRJNEGD = EFHLVLLLMPDHHCHPLUSV\n",
    "```\n",
    "\n",
    "Mask\n",
    "\n",
    "Find all positions a for character x in CIPHER[1] and all positions b for character y in LACUNA[1]\n",
    "\n",
    "If the number found is in the mixed table, then the number belongs in CIPHER[2]. If it is in the evens table, the number found belongs in CIPHER[3]\n",
    "If the number found is from LACUNA[1], subtract is first from Z to find CIPHER. \n",
    "\n",
    "> Note:\n",
    "> Here, the inverse principle appears to apply. That is to say, if the answer is in the mixed table, it belongs in LACUNA[3]\n",
    "\n",
    "If the number is in CIPHER[1], add this to `x % 26` to find M2\n",
    "If the number is in M2, calculate the distance required to get from a to x, this is \n",
    "\n",
    "For example:\n",
    "\n",
    "If the character from LACUNA[1] is S and the position found is N, to get from S to N we use `((Z - S) + N)`\n",
    "\n",
    "There are a number of positions where the x and/or y are also found in the grid.\n",
    "\n",
    "If a one of x or y is found, invert the cipher location\n",
    "the presence of both x and y inverts the inversion?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "evens_table = [\n",
    "    [2,4,6,8,10,12,14,16,18,20,22,24,26],\n",
    "    [24,22,20,18,16,14,12,10,8,6,4,2,26],\n",
    "    [22,18,14,10,6,2,24,20,16,12,8,4,26],\n",
    "    [4,8,12,16,20,24,2,6,10,14,18,22,26],\n",
    "    [20,14,8,2,22,16,10,4,24,18,12,6,26],\n",
    "    [6,12,18,24,4,10,16,22,2,8,14,20,26],\n",
    "    [8,16,24,6,14,22,4,12,20,2,10,18,26],\n",
    "    [18,10,2,20,12,4,22,14,6,24,16,8,26],\n",
    "    [16,6,22,12,2,18,8,24,14,4,20,10,26],\n",
    "    [10,20,4,14,24,8,18,2,12,22,6,16,26],\n",
    "    [12,24,10,22,8,20,6,18,4,16,2,14,26],\n",
    "    [14,2,16,4,18,6,20,8,22,10,24,12,26],\n",
    "    [26,26,26,26,26,26,26,26,26,26,26,26,26],\n",
    "]\n",
    "\n",
    "mixed_table = [\n",
    "    [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26],\n",
    "    [25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,26],\n",
    "    [23,20,17,14,11,8,5,2,25,22,19,16,13,10,7,4,1,24,21,18,15,12,9,6,3,26],\n",
    "    [3,6,9,12,15,18,21,24,1,4,7,10,13,16,19,22,25,2,5,8,11,14,17,20,23,26],\n",
    "    [21,16,11,6,1,22,17,12,7,2,23,18,13,8,3,24,19,14,9,4,25,20,15,10,5,26],\n",
    "    [5,10,15,20,25,4,9,14,19,24,3,8,13,18,23,2,7,12,17,22,1,6,11,16,21,26],\n",
    "    [7,14,21,2,9,16,23,4,11,18,25,6,13,20,1,8,15,22,3,10,17,24,5,12,19,26],\n",
    "    [19,12,5,24,17,10,3,22,15,8,1,20,13,6,26,18,11,4,23,16,9,2,21,14,7,26],\n",
    "    [17,8,25,16,7,24,15,6,23,14,5,22,13,4,21,12,3,20,11,2,19,10,1,18,9,26],\n",
    "    [9,18,1,10,19,2,11,20,3,12,21,4,13,22,5,14,23,6,15,24,7,16,25,8,17,26],\n",
    "    [11,22,7,18,3,14,25,10,21,6,17,2,13,24,9,20,5,16,1,12,23,8,19,4,15,26],\n",
    "    [15,4,19,8,23,12,1,16,5,20,9,24,13,2,17,6,21,10,25,14,3,18,7,22,11,26],\n",
    "    [13,26,13,26,13,26,13,26,13,26,13,26,13,26,13,26,13,26,13,26,13,26,13,26,13,26],\n",
    "]\n",
    "\n",
    "tables = {\n",
    "    'evens': pd.DataFrame(evens_table),\n",
    "    'mixed': pd.DataFrame(mixed_table)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tables['mixed'].loc[3, 9]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "keys = {\n",
    "    'left': [\n",
    "        ('A', 'N'), ('O', 'B'), ('C', 'P'), ('Q', 'D'), ('E', 'R'),\n",
    "        ('S', 'F'), ('G', 'T'), ('U', 'H'), ('I', 'V'), ('W', 'J'),\n",
    "        ('K', 'X'), ('Y', 'L'), ('M', 'Z'),\n",
    "    ],\n",
    "    'right': [\n",
    "        ('Y', 'L'), ('A', 'N'), ('O', 'B'), ('K', 'X'), ('C', 'P'),\n",
    "        ('W', 'J'), ('I', 'V'), ('Q', 'D'), ('E', 'R'), ('U', 'H'),\n",
    "        ('G', 'T'), ('S', 'F'), ('M', 'Z'),\n",
    "    ],\n",
    "    'evens': {\n",
    "        'top': [\n",
    "            ('S', 'F'), ('Y', 'L'), ('E', 'R'), ('K', 'X'), ('Q', 'D'), \n",
    "            ('W', 'J'), ('C', 'P'), ('I', 'V'), ('O', 'B'), ('U', 'H'),\n",
    "            ('A', 'N'), ('G', 'T'), ('M', 'Z'),\n",
    "        ],\n",
    "        'bottom': [\n",
    "            ('Y', 'L'), ('K', 'X'), ('W', 'J'), ('I', 'V'), ('U', 'H'),\n",
    "            ('G', 'T'), ('S', 'F'), ('E', 'R'), ('Q', 'D'), ('C', 'P'),\n",
    "            ('O', 'B'), ('A', 'N'), ('M', 'Z'),\n",
    "        ],\n",
    "    },\n",
    "    'mixed': {\n",
    "        'bottom': [\n",
    "            'A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M',\n",
    "            'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z'\n",
    "        ],\n",
    "        \n",
    "        'top': [\n",
    "            'Z', 'Y', 'X', 'W', 'V', 'U', 'T', 'S', 'R', 'Q', 'P', 'O', 'N',\n",
    "            'M', 'L', 'K', 'J', 'I', 'H', 'G', 'F', 'E', 'D', 'C', 'B', 'A'\n",
    "        ],\n",
    "    }\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "import copy\n",
    "class Highlighter(object):\n",
    "    _df = None\n",
    "    _applied = None\n",
    "    _grid = None\n",
    "    \n",
    "    def __init__(self, df, grid):\n",
    "        self._df = df\n",
    "        self._grid = grid\n",
    "        self._applied = self.apply_grid()\n",
    "    \n",
    "    def highlighty(self, df, color='yellow'):\n",
    "        return 'background-color: {}'.format(color)\n",
    "\n",
    "    def highlightr(self, df, color='#FF0000'):\n",
    "        return 'background-color: {}; color: #FFFFFF'.format(color)\n",
    "\n",
    "    def highlightg(self, df, color='#00FF00'):\n",
    "        return 'background-color: {}'.format(color)\n",
    "\n",
    "    def apply_grid(self):\n",
    "        self._df.style.clear()\n",
    "        return self._df.style.applymap(\n",
    "            self.highlighty, subset=pd.IndexSlice[:, self._grid[0]]\n",
    "        ).applymap(\n",
    "            self.highlighty, subset=pd.IndexSlice[self._grid[1], :]\n",
    "        ).applymap(\n",
    "            self.highlighty, subset=pd.IndexSlice[:, self._grid[2]]\n",
    "        ).applymap(\n",
    "            self.highlighty, subset=pd.IndexSlice[self._grid[3], :]\n",
    "        ).set_table_attributes(\n",
    "            'style=\"font-size: 10px\"'\n",
    "        )\n",
    "    \n",
    "    def active_char(self, pos):\n",
    "        return {\n",
    "            'tl': self._df.loc[self._grid[1], self._grid[0]],\n",
    "            'tr': self._df.loc[self._grid[1], self._grid[2]],\n",
    "            'bl': self._df.loc[self._grid[3], self._grid[0]],\n",
    "            'br': self._df.loc[self._grid[3], self._grid[2]],\n",
    "        }[pos]\n",
    "\n",
    "    def active(self, pos):\n",
    "        {\n",
    "            'tl': lambda m: m.applymap(self.highlightr, subset=pd.IndexSlice[self._grid[1], self._grid[0]]),\n",
    "            'tr': lambda m: m.applymap(self.highlightr, subset=pd.IndexSlice[self._grid[1], self._grid[2]]),\n",
    "            'bl': lambda m: m.applymap(self.highlightr, subset=pd.IndexSlice[self._grid[3], self._grid[0]]),\n",
    "            'br': lambda m: m.applymap(self.highlightr, subset=pd.IndexSlice[self._grid[3], self._grid[2]]),\n",
    "        }[pos](self._applied)\n",
    "        return self\n",
    "\n",
    "    def cipher(self, pos):\n",
    "        {\n",
    "            'tl': lambda m: m.applymap(self.highlightg, subset=pd.IndexSlice[self._grid[1], self._grid[0]]),\n",
    "            'tr': lambda m: m.applymap(self.highlightg, subset=pd.IndexSlice[self._grid[1], self._grid[2]]),\n",
    "            'bl': lambda m: m.applymap(self.highlightg, subset=pd.IndexSlice[self._grid[3], self._grid[0]]),\n",
    "            'br': lambda m: m.applymap(self.highlightg, subset=pd.IndexSlice[self._grid[3], self._grid[2]]),\n",
    "        }[pos](self._applied)\n",
    "        return self\n",
    "    \n",
    "    def apply(self):\n",
    "        return self._applied"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
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       "        }</style><table id=\"T_381ba794_c80c_11ea_8519_3cd92beea2cc\" style=\"font-size: 10px\"><thead>    <tr>        <th class=\"blank level0\" ></th>        <th class=\"col_heading level0 col0\" >0</th>        <th class=\"col_heading level0 col1\" >1</th>        <th class=\"col_heading level0 col2\" >2</th>        <th class=\"col_heading level0 col3\" >3</th>        <th class=\"col_heading level0 col4\" >4</th>        <th class=\"col_heading level0 col5\" >5</th>        <th class=\"col_heading level0 col6\" >6</th>        <th class=\"col_heading level0 col7\" >7</th>        <th class=\"col_heading level0 col8\" >8</th>        <th class=\"col_heading level0 col9\" >9</th>        <th class=\"col_heading level0 col10\" >10</th>        <th class=\"col_heading level0 col11\" >11</th>        <th class=\"col_heading level0 col12\" >12</th>    </tr></thead><tbody>\n",
       "                <tr>\n",
       "                        <th id=\"T_381ba794_c80c_11ea_8519_3cd92beea2cclevel0_row0\" class=\"row_heading level0 row0\" >0</th>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow0_col0\" class=\"data row0 col0\" >2</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow0_col1\" class=\"data row0 col1\" >4</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow0_col2\" class=\"data row0 col2\" >6</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow0_col3\" class=\"data row0 col3\" >8</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow0_col4\" class=\"data row0 col4\" >10</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow0_col5\" class=\"data row0 col5\" >12</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow0_col6\" class=\"data row0 col6\" >14</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow0_col7\" class=\"data row0 col7\" >16</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow0_col8\" class=\"data row0 col8\" >18</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow0_col9\" class=\"data row0 col9\" >20</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow0_col10\" class=\"data row0 col10\" >22</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow0_col11\" class=\"data row0 col11\" >24</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow0_col12\" class=\"data row0 col12\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_381ba794_c80c_11ea_8519_3cd92beea2cclevel0_row1\" class=\"row_heading level0 row1\" >1</th>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow1_col0\" class=\"data row1 col0\" >24</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow1_col1\" class=\"data row1 col1\" >22</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow1_col2\" class=\"data row1 col2\" >20</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow1_col3\" class=\"data row1 col3\" >18</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow1_col4\" class=\"data row1 col4\" >16</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow1_col5\" class=\"data row1 col5\" >14</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow1_col6\" class=\"data row1 col6\" >12</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow1_col7\" class=\"data row1 col7\" >10</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow1_col8\" class=\"data row1 col8\" >8</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow1_col9\" class=\"data row1 col9\" >6</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow1_col10\" class=\"data row1 col10\" >4</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow1_col11\" class=\"data row1 col11\" >2</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow1_col12\" class=\"data row1 col12\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_381ba794_c80c_11ea_8519_3cd92beea2cclevel0_row2\" class=\"row_heading level0 row2\" >2</th>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow2_col0\" class=\"data row2 col0\" >22</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow2_col1\" class=\"data row2 col1\" >18</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow2_col2\" class=\"data row2 col2\" >14</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow2_col3\" class=\"data row2 col3\" >10</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow2_col4\" class=\"data row2 col4\" >6</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow2_col5\" class=\"data row2 col5\" >2</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow2_col6\" class=\"data row2 col6\" >24</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow2_col7\" class=\"data row2 col7\" >20</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow2_col8\" class=\"data row2 col8\" >16</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow2_col9\" class=\"data row2 col9\" >12</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow2_col10\" class=\"data row2 col10\" >8</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow2_col11\" class=\"data row2 col11\" >4</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow2_col12\" class=\"data row2 col12\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_381ba794_c80c_11ea_8519_3cd92beea2cclevel0_row3\" class=\"row_heading level0 row3\" >3</th>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow3_col0\" class=\"data row3 col0\" >4</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow3_col1\" class=\"data row3 col1\" >8</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow3_col2\" class=\"data row3 col2\" >12</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow3_col3\" class=\"data row3 col3\" >16</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow3_col4\" class=\"data row3 col4\" >20</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow3_col5\" class=\"data row3 col5\" >24</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow3_col6\" class=\"data row3 col6\" >2</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow3_col7\" class=\"data row3 col7\" >6</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow3_col8\" class=\"data row3 col8\" >10</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow3_col9\" class=\"data row3 col9\" >14</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow3_col10\" class=\"data row3 col10\" >18</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow3_col11\" class=\"data row3 col11\" >22</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow3_col12\" class=\"data row3 col12\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_381ba794_c80c_11ea_8519_3cd92beea2cclevel0_row4\" class=\"row_heading level0 row4\" >4</th>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow4_col0\" class=\"data row4 col0\" >20</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow4_col1\" class=\"data row4 col1\" >14</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow4_col2\" class=\"data row4 col2\" >8</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow4_col3\" class=\"data row4 col3\" >2</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow4_col4\" class=\"data row4 col4\" >22</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow4_col5\" class=\"data row4 col5\" >16</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow4_col6\" class=\"data row4 col6\" >10</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow4_col7\" class=\"data row4 col7\" >4</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow4_col8\" class=\"data row4 col8\" >24</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow4_col9\" class=\"data row4 col9\" >18</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow4_col10\" class=\"data row4 col10\" >12</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow4_col11\" class=\"data row4 col11\" >6</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow4_col12\" class=\"data row4 col12\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_381ba794_c80c_11ea_8519_3cd92beea2cclevel0_row5\" class=\"row_heading level0 row5\" >5</th>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow5_col0\" class=\"data row5 col0\" >6</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow5_col1\" class=\"data row5 col1\" >12</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow5_col2\" class=\"data row5 col2\" >18</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow5_col3\" class=\"data row5 col3\" >24</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow5_col4\" class=\"data row5 col4\" >4</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow5_col5\" class=\"data row5 col5\" >10</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow5_col6\" class=\"data row5 col6\" >16</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow5_col7\" class=\"data row5 col7\" >22</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow5_col8\" class=\"data row5 col8\" >2</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow5_col9\" class=\"data row5 col9\" >8</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow5_col10\" class=\"data row5 col10\" >14</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow5_col11\" class=\"data row5 col11\" >20</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow5_col12\" class=\"data row5 col12\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_381ba794_c80c_11ea_8519_3cd92beea2cclevel0_row6\" class=\"row_heading level0 row6\" >6</th>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow6_col0\" class=\"data row6 col0\" >8</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow6_col1\" class=\"data row6 col1\" >16</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow6_col2\" class=\"data row6 col2\" >24</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow6_col3\" class=\"data row6 col3\" >6</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow6_col4\" class=\"data row6 col4\" >14</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow6_col5\" class=\"data row6 col5\" >22</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow6_col6\" class=\"data row6 col6\" >4</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow6_col7\" class=\"data row6 col7\" >12</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow6_col8\" class=\"data row6 col8\" >20</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow6_col9\" class=\"data row6 col9\" >2</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow6_col10\" class=\"data row6 col10\" >10</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow6_col11\" class=\"data row6 col11\" >18</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow6_col12\" class=\"data row6 col12\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_381ba794_c80c_11ea_8519_3cd92beea2cclevel0_row7\" class=\"row_heading level0 row7\" >7</th>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow7_col0\" class=\"data row7 col0\" >18</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow7_col1\" class=\"data row7 col1\" >10</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow7_col2\" class=\"data row7 col2\" >2</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow7_col3\" class=\"data row7 col3\" >20</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow7_col4\" class=\"data row7 col4\" >12</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow7_col5\" class=\"data row7 col5\" >4</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow7_col6\" class=\"data row7 col6\" >22</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow7_col7\" class=\"data row7 col7\" >14</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow7_col8\" class=\"data row7 col8\" >6</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow7_col9\" class=\"data row7 col9\" >24</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow7_col10\" class=\"data row7 col10\" >16</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow7_col11\" class=\"data row7 col11\" >8</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow7_col12\" class=\"data row7 col12\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_381ba794_c80c_11ea_8519_3cd92beea2cclevel0_row8\" class=\"row_heading level0 row8\" >8</th>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow8_col0\" class=\"data row8 col0\" >16</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow8_col1\" class=\"data row8 col1\" >6</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow8_col2\" class=\"data row8 col2\" >22</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow8_col3\" class=\"data row8 col3\" >12</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow8_col4\" class=\"data row8 col4\" >2</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow8_col5\" class=\"data row8 col5\" >18</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow8_col6\" class=\"data row8 col6\" >8</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow8_col7\" class=\"data row8 col7\" >24</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow8_col8\" class=\"data row8 col8\" >14</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow8_col9\" class=\"data row8 col9\" >4</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow8_col10\" class=\"data row8 col10\" >20</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow8_col11\" class=\"data row8 col11\" >10</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow8_col12\" class=\"data row8 col12\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_381ba794_c80c_11ea_8519_3cd92beea2cclevel0_row9\" class=\"row_heading level0 row9\" >9</th>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow9_col0\" class=\"data row9 col0\" >10</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow9_col1\" class=\"data row9 col1\" >20</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow9_col2\" class=\"data row9 col2\" >4</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow9_col3\" class=\"data row9 col3\" >14</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow9_col4\" class=\"data row9 col4\" >24</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow9_col5\" class=\"data row9 col5\" >8</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow9_col6\" class=\"data row9 col6\" >18</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow9_col7\" class=\"data row9 col7\" >2</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow9_col8\" class=\"data row9 col8\" >12</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow9_col9\" class=\"data row9 col9\" >22</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow9_col10\" class=\"data row9 col10\" >6</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow9_col11\" class=\"data row9 col11\" >16</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow9_col12\" class=\"data row9 col12\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_381ba794_c80c_11ea_8519_3cd92beea2cclevel0_row10\" class=\"row_heading level0 row10\" >10</th>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow10_col0\" class=\"data row10 col0\" >12</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow10_col1\" class=\"data row10 col1\" >24</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow10_col2\" class=\"data row10 col2\" >10</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow10_col3\" class=\"data row10 col3\" >22</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow10_col4\" class=\"data row10 col4\" >8</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow10_col5\" class=\"data row10 col5\" >20</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow10_col6\" class=\"data row10 col6\" >6</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow10_col7\" class=\"data row10 col7\" >18</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow10_col8\" class=\"data row10 col8\" >4</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow10_col9\" class=\"data row10 col9\" >16</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow10_col10\" class=\"data row10 col10\" >2</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow10_col11\" class=\"data row10 col11\" >14</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow10_col12\" class=\"data row10 col12\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_381ba794_c80c_11ea_8519_3cd92beea2cclevel0_row11\" class=\"row_heading level0 row11\" >11</th>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow11_col0\" class=\"data row11 col0\" >14</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow11_col1\" class=\"data row11 col1\" >2</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow11_col2\" class=\"data row11 col2\" >16</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow11_col3\" class=\"data row11 col3\" >4</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow11_col4\" class=\"data row11 col4\" >18</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow11_col5\" class=\"data row11 col5\" >6</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow11_col6\" class=\"data row11 col6\" >20</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow11_col7\" class=\"data row11 col7\" >8</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow11_col8\" class=\"data row11 col8\" >22</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow11_col9\" class=\"data row11 col9\" >10</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow11_col10\" class=\"data row11 col10\" >24</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow11_col11\" class=\"data row11 col11\" >12</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow11_col12\" class=\"data row11 col12\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_381ba794_c80c_11ea_8519_3cd92beea2cclevel0_row12\" class=\"row_heading level0 row12\" >12</th>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow12_col0\" class=\"data row12 col0\" >26</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow12_col1\" class=\"data row12 col1\" >26</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow12_col2\" class=\"data row12 col2\" >26</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow12_col3\" class=\"data row12 col3\" >26</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow12_col4\" class=\"data row12 col4\" >26</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow12_col5\" class=\"data row12 col5\" >26</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow12_col6\" class=\"data row12 col6\" >26</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow12_col7\" class=\"data row12 col7\" >26</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow12_col8\" class=\"data row12 col8\" >26</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow12_col9\" class=\"data row12 col9\" >26</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow12_col10\" class=\"data row12 col10\" >26</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow12_col11\" class=\"data row12 col11\" >26</td>\n",
       "                        <td id=\"T_381ba794_c80c_11ea_8519_3cd92beea2ccrow12_col12\" class=\"data row12 col12\" >26</td>\n",
       "            </tr>\n",
       "    </tbody></table>"
      ],
      "text/plain": [
       "<pandas.io.formats.style.Styler at 0x7f4bc12895f8>"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "class Square:\n",
    "    tl = ''\n",
    "    bl = ''\n",
    "    tr = ''\n",
    "    br = ''\n",
    "    \n",
    "    replace = {\n",
    "        'M': 'K',\n",
    "        'V': 'J',\n",
    "        'Z': 'V',\n",
    "        'K': 'V',\n",
    "    }\n",
    "    \n",
    "    character = ''\n",
    "    \n",
    "    _grid = []\n",
    "    \n",
    "    _highlight = None\n",
    "    lacuna_active = False\n",
    "    cipher_active = False\n",
    "    alt_active = False\n",
    "    \n",
    "    def __init__(self, character, table, tables, keys, use_alt):\n",
    "        self.character = character\n",
    "        character_index = decipher.a2i(character)\n",
    "        \n",
    "        alt_char = self.replace[character] if use_alt and character in self.replace.keys() else character\n",
    "        self.alt_active = alt_char != character\n",
    "        \n",
    "        top    = [\n",
    "            i for i in range(len(keys[table]['top'])) if alt_char in keys[table]['top'][i]\n",
    "        ][0]\n",
    "        \n",
    "        right  = [\n",
    "            i for i in range(len(keys['right'])) if alt_char in keys['right'][i]\n",
    "        ][0]\n",
    "        \n",
    "        bottom = [\n",
    "            i for i in range(len(keys[table]['bottom'])) if character in keys[table]['bottom'][i]\n",
    "        ][0]\n",
    "        \n",
    "        left   = [\n",
    "            i for i in range(len(keys['left'])) if character in keys['left'][i]\n",
    "        ][0]\n",
    "        \n",
    "        table  = tables[table]\n",
    "        \n",
    "        self._grid = [\n",
    "            top     if top < bottom else bottom,\n",
    "            left    if left < right else right,\n",
    "            bottom  if bottom > top else top,\n",
    "            right   if right > left else left\n",
    "        ]\n",
    "        \n",
    "        self.tl = table.loc[self._grid[1], self._grid[0]]\n",
    "        self.tr = table.loc[self._grid[1], self._grid[2]]\n",
    "        self.bl = table.loc[self._grid[3], self._grid[2]]\n",
    "        self.br = table.loc[self._grid[3], self._grid[0]]\n",
    "        self._highlight = Highlighter(table, self.gridref)\n",
    "        self.markcipher(self.character)\n",
    "    \n",
    "    def get(self):\n",
    "        return [self.tl, self.tr, self.br, self.bl]\n",
    "    \n",
    "    def markcipher(self, char, recurse=True):\n",
    "        inverse = distancefrom(char, 'Z')\n",
    "        char = decipher.a2i(char)\n",
    "        pos = ''\n",
    "        if char in self.get():\n",
    "            pos = [\n",
    "                'tl', 'tr', 'bl', 'br'\n",
    "            ][self.get().index(char)]\n",
    "            self._highlight.cipher(pos)\n",
    "            \n",
    "            if recurse:\n",
    "                self.cipher_active = pos\n",
    "            else:\n",
    "                self.lacuna_active = pos\n",
    "        if recurse:\n",
    "            self.markcipher(inverse, False)\n",
    "    \n",
    "    def active(self, corner):\n",
    "        self._highlight.active(corner)\n",
    "        return self.active_char(corner)\n",
    "    \n",
    "    def active_char(self, corner):\n",
    "        return self._highlight.active_char(corner)\n",
    "        \n",
    "    def contains(self, what):\n",
    "        return decipher.a2i(what) in self.get()\n",
    "            \n",
    "    @property\n",
    "    def gridref(self):\n",
    "        return self._grid\n",
    "    \n",
    "    @property\n",
    "    def apply(self):\n",
    "        return self._highlight.apply()\n",
    "s = Square('N', 'evens', tables, keys, False)\n",
    "s.apply"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Character:\n",
    "    index  = 0\n",
    "    cipher = {\n",
    "        '+': None,\n",
    "        '-': None,\n",
    "    }\n",
    "\n",
    "    character  = ''\n",
    "    deciphered = ''\n",
    "\n",
    "    table    = None\n",
    "    xor_val  = None\n",
    "    position = None\n",
    "    cipher_active = False\n",
    "    lacuna_active = False\n",
    "    deciphered    = ''\n",
    "\n",
    "    def __init__(self, character, index, tables, keys, use_alt=False):\n",
    "        self.index       = index\n",
    "        self.character   = character.upper()\n",
    "        self.cipher['+'] = Square(self.character, 'evens', tables, keys, use_alt)\n",
    "        self.cipher['-'] = Square(self.character, 'mixed', tables, keys, use_alt)\n",
    "        self.xor_val = decipher.a2i(self.character) % 2 == 0\n",
    "        self.deciphered = self.decipher()\n",
    "        \n",
    "    def __str__(self):\n",
    "        return self.deciphered\n",
    "\n",
    "    def __repr__(self):\n",
    "        return str(self)\n",
    "\n",
    "    def final(self):\n",
    "        # D T X V D N C N N <- i need this\n",
    "        # U T B V J S C G G <- i get this\n",
    "        # 0 1 2 0 1 1 0 1 ? <- i need this\n",
    "        # 0 1 2 0 0 1 1 0 0 <- i get this\n",
    "        pos = 1 if self.table else 0\n",
    "        pos += {\n",
    "            'tl': 1 if self.lacuna_active and not self.cipher_active else 0,\n",
    "            'bl': 0 if self.lacuna_active and not self.cipher_active else 1,\n",
    "            'tr': 1 if self.lacuna_active and self.cipher_active else 0,\n",
    "            'br': 0 if self.lacuna_active and not self.cipher_active else 1,\n",
    "        }[self.position]\n",
    "        \n",
    "        pos = ((pos + 2) if self.xor_val else pos) % 4\n",
    "        c = [\n",
    "            lambda x, c: decipher.i2a( # D to U = (17 + D) % 26 \n",
    "                (decipher.a2i(c) + decipher.a2i(x)) % 26\n",
    "            ),\n",
    "            lambda x, _: x,\n",
    "            lambda x, c: decipher.i2a(\n",
    "                (decipher.a2i(c) + decipher.a2i(distancefrom(x, 'Z'))) % 26\n",
    "            ),\n",
    "            lambda x, _: distancefrom(x, 'Z'), # should be mostly right\n",
    "                \n",
    "        ][pos](self.deciphered, self.character)\n",
    "        return (pos, distancefrom(self.character, c))\n",
    "\n",
    "    def decipher(self):\n",
    "        self.cipher_active = self.cipher['+'].cipher_active \\\n",
    "            if self.cipher['+'].cipher_active else self.cipher['-'].cipher_active\n",
    "        \n",
    "        self.lacuna_active = self.cipher['+'].lacuna_active \\\n",
    "            if self.cipher['+'].lacuna_active else self.cipher['-'].lacuna_active\n",
    "        self.position = 'tl'\n",
    "        self.table = self.index % 2 != 0 and decipher.a2i(self.character) % 2 != 0\n",
    "        \n",
    "        # rules\n",
    "        if self.lacuna_active:\n",
    "            self.position = 'bl' if self.lacuna_active != 'bl' else 'br'\n",
    "            self.table = not self.table\n",
    "\n",
    "        if self.cipher_active and not self.lacuna_active:\n",
    "            self.position = 'tr' if self.cipher_active != 'tr' else 'tl'\n",
    "            self.table = not self.table\n",
    "\n",
    "        if self.table:\n",
    "            t = '+' if self.table else '-'\n",
    "            u = '-' if self.table else '+'\n",
    "            for i, c in zip(range(len(self.cipher[t].get())), self.cipher[t].get()):\n",
    "                if (26 - c) in self.cipher[u].get():\n",
    "                    self.position = [\n",
    "                        'tl', 'tr', 'bl', 'br'\n",
    "                    ][i]\n",
    "                    break\n",
    "\n",
    "            # if we have the same number in both tables\n",
    "            # and shared number is in same position, invert the tables\n",
    "            number = self.cipher[t].active_char(self.position)\n",
    "            alternate = self.cipher[u].active_char(self.position)\n",
    "            \n",
    "            if number != alternate and alternate in self.cipher[t].get():\n",
    "                self.table = not self.table\n",
    "        \n",
    "        # Now set table to the table key polarity\n",
    "        table = '+' if self.table else '-'\n",
    "        \n",
    "        if self.cipher[table].alt_active:\n",
    "            self.position = {\n",
    "                'tl': 'bl',\n",
    "                'tr': 'br',\n",
    "                'bl': 'tl',\n",
    "                'br': 'tr',\n",
    "            }[self.position]\n",
    "        number = self.cipher[table].active(self.position)\n",
    "        return decipher.i2a(number)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DTXVDNCNN\n",
      "(0, 'N')(1, 'O')(2, 'R')(3, 'D')(0, 'T')(2, 'Z')(1, 'L')(0, 'Z')(0, 'Z')\n"
     ]
    }
   ],
   "source": [
    "class Cipher(object):\n",
    "    cipher   = None\n",
    "    lacuna   = None\n",
    "    alphabet = None\n",
    "    \n",
    "    def __init__(self, ciphertext):\n",
    "        self.ciphertext = ciphertext.upper()\n",
    "        self.lacunatext = ''.join(\n",
    "            [distancefrom(c, 'Z') for c in self.ciphertext]\n",
    "        )\n",
    "        \n",
    "        self.alphabet = {\n",
    "            'A': False, 'B': False, 'C': False, 'D': False, 'E': False, 'F': False,\n",
    "            'G': False, 'H': False, 'I': False, 'J': False, 'K': False, 'L': False,\n",
    "            'M': False, 'N': False, 'O': False, 'P': False, 'Q': False, 'R': False,\n",
    "            'S': False, 'T': False, 'U': False, 'V': False, 'W': False, 'X': False,\n",
    "            'Y': False, 'Z': False,\n",
    "        }\n",
    "        self.cipher = []\n",
    "        self.lacuna = []\n",
    "        for i, c, l in zip(range(1, self.length + 1), self.ciphertext, self.lacunatext):\n",
    "            self.cipher.append(\n",
    "                Character(c, i, tables, keys, self.alphabet[c])\n",
    "            )\n",
    "\n",
    "            self.lacuna.append(\n",
    "                Character(l, i, tables, keys, self.alphabet[c])\n",
    "            )\n",
    "            \n",
    "            self.alphabet[c] = not self.alphabet[c]\n",
    "\n",
    "    @property\n",
    "    def length(self):\n",
    "        return len(self.ciphertext)\n",
    "\n",
    "cipher = Cipher(ciphertext)\n",
    "print(''.join([str(c) for c in cipher.cipher][25:34]))\n",
    "print(''.join([str(c.final()) for c in cipher.cipher][25:34]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "FNGDGUHUZFGPNZFPKZNNKZPDQNORDTZLZZFXKXOZHNZZMWZLKZXHBPGDKZKWTZNTZRGXXZZZRWKODLLHXHYDKOGZFZYZMLYZD\n"
     ]
    }
   ],
   "source": [
    "print(''.join([str(c.final()[1]) for c in cipher.cipher]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
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       "        }    #T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col25 {\n",
       "            background-color:  yellow;\n",
       "        }    #T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col7 {\n",
       "            background-color:  yellow;\n",
       "        }    #T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col18 {\n",
       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
       "            background-color:  yellow;\n",
       "        }    #T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col8 {\n",
       "            background-color:  yellow;\n",
       "        }    #T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col9 {\n",
       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
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       "            background-color:  yellow;\n",
       "        }    #T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col7 {\n",
       "            background-color:  yellow;\n",
       "        }    #T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col18 {\n",
       "            background-color:  yellow;\n",
       "        }    #T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col7 {\n",
       "            background-color:  yellow;\n",
       "        }    #T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col18 {\n",
       "            background-color:  yellow;\n",
       "        }</style><table id=\"T_38538fec_c80c_11ea_8519_3cd92beea2cc\" style=\"font-size: 10px\"><thead>    <tr>        <th class=\"blank level0\" ></th>        <th class=\"col_heading level0 col0\" >0</th>        <th class=\"col_heading level0 col1\" >1</th>        <th class=\"col_heading level0 col2\" >2</th>        <th class=\"col_heading level0 col3\" >3</th>        <th class=\"col_heading level0 col4\" >4</th>        <th class=\"col_heading level0 col5\" >5</th>        <th class=\"col_heading level0 col6\" >6</th>        <th class=\"col_heading level0 col7\" >7</th>        <th class=\"col_heading level0 col8\" >8</th>        <th class=\"col_heading level0 col9\" >9</th>        <th class=\"col_heading level0 col10\" >10</th>        <th class=\"col_heading level0 col11\" >11</th>        <th class=\"col_heading level0 col12\" >12</th>        <th class=\"col_heading level0 col13\" >13</th>        <th class=\"col_heading level0 col14\" >14</th>        <th class=\"col_heading level0 col15\" >15</th>        <th class=\"col_heading level0 col16\" >16</th>        <th class=\"col_heading level0 col17\" >17</th>        <th class=\"col_heading level0 col18\" >18</th>        <th class=\"col_heading level0 col19\" >19</th>        <th class=\"col_heading level0 col20\" >20</th>        <th class=\"col_heading level0 col21\" >21</th>        <th class=\"col_heading level0 col22\" >22</th>        <th class=\"col_heading level0 col23\" >23</th>        <th class=\"col_heading level0 col24\" >24</th>        <th class=\"col_heading level0 col25\" >25</th>    </tr></thead><tbody>\n",
       "                <tr>\n",
       "                        <th id=\"T_38538fec_c80c_11ea_8519_3cd92beea2cclevel0_row0\" class=\"row_heading level0 row0\" >0</th>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col0\" class=\"data row0 col0\" >1</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col1\" class=\"data row0 col1\" >2</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col2\" class=\"data row0 col2\" >3</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col3\" class=\"data row0 col3\" >4</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col4\" class=\"data row0 col4\" >5</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col5\" class=\"data row0 col5\" >6</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col6\" class=\"data row0 col6\" >7</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col7\" class=\"data row0 col7\" >8</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col8\" class=\"data row0 col8\" >9</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col9\" class=\"data row0 col9\" >10</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col10\" class=\"data row0 col10\" >11</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col11\" class=\"data row0 col11\" >12</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col12\" class=\"data row0 col12\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col13\" class=\"data row0 col13\" >14</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col14\" class=\"data row0 col14\" >15</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col15\" class=\"data row0 col15\" >16</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col16\" class=\"data row0 col16\" >17</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col17\" class=\"data row0 col17\" >18</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col18\" class=\"data row0 col18\" >19</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col19\" class=\"data row0 col19\" >20</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col20\" class=\"data row0 col20\" >21</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col21\" class=\"data row0 col21\" >22</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col22\" class=\"data row0 col22\" >23</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col23\" class=\"data row0 col23\" >24</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col24\" class=\"data row0 col24\" >25</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow0_col25\" class=\"data row0 col25\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_38538fec_c80c_11ea_8519_3cd92beea2cclevel0_row1\" class=\"row_heading level0 row1\" >1</th>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col0\" class=\"data row1 col0\" >25</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col1\" class=\"data row1 col1\" >24</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col2\" class=\"data row1 col2\" >23</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col3\" class=\"data row1 col3\" >22</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col4\" class=\"data row1 col4\" >21</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col5\" class=\"data row1 col5\" >20</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col6\" class=\"data row1 col6\" >19</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col7\" class=\"data row1 col7\" >18</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col8\" class=\"data row1 col8\" >17</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col9\" class=\"data row1 col9\" >16</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col10\" class=\"data row1 col10\" >15</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col11\" class=\"data row1 col11\" >14</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col12\" class=\"data row1 col12\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col13\" class=\"data row1 col13\" >12</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col14\" class=\"data row1 col14\" >11</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col15\" class=\"data row1 col15\" >10</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col16\" class=\"data row1 col16\" >9</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col17\" class=\"data row1 col17\" >8</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col18\" class=\"data row1 col18\" >7</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col19\" class=\"data row1 col19\" >6</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col20\" class=\"data row1 col20\" >5</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col21\" class=\"data row1 col21\" >4</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col22\" class=\"data row1 col22\" >3</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col23\" class=\"data row1 col23\" >2</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col24\" class=\"data row1 col24\" >1</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow1_col25\" class=\"data row1 col25\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_38538fec_c80c_11ea_8519_3cd92beea2cclevel0_row2\" class=\"row_heading level0 row2\" >2</th>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col0\" class=\"data row2 col0\" >23</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col1\" class=\"data row2 col1\" >20</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col2\" class=\"data row2 col2\" >17</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col3\" class=\"data row2 col3\" >14</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col4\" class=\"data row2 col4\" >11</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col5\" class=\"data row2 col5\" >8</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col6\" class=\"data row2 col6\" >5</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col7\" class=\"data row2 col7\" >2</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col8\" class=\"data row2 col8\" >25</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col9\" class=\"data row2 col9\" >22</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col10\" class=\"data row2 col10\" >19</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col11\" class=\"data row2 col11\" >16</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col12\" class=\"data row2 col12\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col13\" class=\"data row2 col13\" >10</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col14\" class=\"data row2 col14\" >7</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col15\" class=\"data row2 col15\" >4</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col16\" class=\"data row2 col16\" >1</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col17\" class=\"data row2 col17\" >24</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col18\" class=\"data row2 col18\" >21</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col19\" class=\"data row2 col19\" >18</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col20\" class=\"data row2 col20\" >15</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col21\" class=\"data row2 col21\" >12</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col22\" class=\"data row2 col22\" >9</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col23\" class=\"data row2 col23\" >6</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col24\" class=\"data row2 col24\" >3</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow2_col25\" class=\"data row2 col25\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_38538fec_c80c_11ea_8519_3cd92beea2cclevel0_row3\" class=\"row_heading level0 row3\" >3</th>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col0\" class=\"data row3 col0\" >3</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col1\" class=\"data row3 col1\" >6</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col2\" class=\"data row3 col2\" >9</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col3\" class=\"data row3 col3\" >12</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col4\" class=\"data row3 col4\" >15</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col5\" class=\"data row3 col5\" >18</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col6\" class=\"data row3 col6\" >21</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col7\" class=\"data row3 col7\" >24</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col8\" class=\"data row3 col8\" >1</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col9\" class=\"data row3 col9\" >4</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col10\" class=\"data row3 col10\" >7</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col11\" class=\"data row3 col11\" >10</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col12\" class=\"data row3 col12\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col13\" class=\"data row3 col13\" >16</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col14\" class=\"data row3 col14\" >19</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col15\" class=\"data row3 col15\" >22</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col16\" class=\"data row3 col16\" >25</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col17\" class=\"data row3 col17\" >2</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col18\" class=\"data row3 col18\" >5</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col19\" class=\"data row3 col19\" >8</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col20\" class=\"data row3 col20\" >11</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col21\" class=\"data row3 col21\" >14</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col22\" class=\"data row3 col22\" >17</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col23\" class=\"data row3 col23\" >20</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col24\" class=\"data row3 col24\" >23</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow3_col25\" class=\"data row3 col25\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_38538fec_c80c_11ea_8519_3cd92beea2cclevel0_row4\" class=\"row_heading level0 row4\" >4</th>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col0\" class=\"data row4 col0\" >21</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col1\" class=\"data row4 col1\" >16</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col2\" class=\"data row4 col2\" >11</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col3\" class=\"data row4 col3\" >6</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col4\" class=\"data row4 col4\" >1</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col5\" class=\"data row4 col5\" >22</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col6\" class=\"data row4 col6\" >17</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col7\" class=\"data row4 col7\" >12</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col8\" class=\"data row4 col8\" >7</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col9\" class=\"data row4 col9\" >2</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col10\" class=\"data row4 col10\" >23</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col11\" class=\"data row4 col11\" >18</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col12\" class=\"data row4 col12\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col13\" class=\"data row4 col13\" >8</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col14\" class=\"data row4 col14\" >3</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col15\" class=\"data row4 col15\" >24</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col16\" class=\"data row4 col16\" >19</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col17\" class=\"data row4 col17\" >14</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col18\" class=\"data row4 col18\" >9</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col19\" class=\"data row4 col19\" >4</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col20\" class=\"data row4 col20\" >25</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col21\" class=\"data row4 col21\" >20</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col22\" class=\"data row4 col22\" >15</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col23\" class=\"data row4 col23\" >10</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col24\" class=\"data row4 col24\" >5</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow4_col25\" class=\"data row4 col25\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_38538fec_c80c_11ea_8519_3cd92beea2cclevel0_row5\" class=\"row_heading level0 row5\" >5</th>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col0\" class=\"data row5 col0\" >5</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col1\" class=\"data row5 col1\" >10</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col2\" class=\"data row5 col2\" >15</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col3\" class=\"data row5 col3\" >20</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col4\" class=\"data row5 col4\" >25</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col5\" class=\"data row5 col5\" >4</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col6\" class=\"data row5 col6\" >9</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col7\" class=\"data row5 col7\" >14</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col8\" class=\"data row5 col8\" >19</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col9\" class=\"data row5 col9\" >24</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col10\" class=\"data row5 col10\" >3</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col11\" class=\"data row5 col11\" >8</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col12\" class=\"data row5 col12\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col13\" class=\"data row5 col13\" >18</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col14\" class=\"data row5 col14\" >23</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col15\" class=\"data row5 col15\" >2</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col16\" class=\"data row5 col16\" >7</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col17\" class=\"data row5 col17\" >12</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col18\" class=\"data row5 col18\" >17</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col19\" class=\"data row5 col19\" >22</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col20\" class=\"data row5 col20\" >1</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col21\" class=\"data row5 col21\" >6</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col22\" class=\"data row5 col22\" >11</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col23\" class=\"data row5 col23\" >16</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col24\" class=\"data row5 col24\" >21</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow5_col25\" class=\"data row5 col25\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_38538fec_c80c_11ea_8519_3cd92beea2cclevel0_row6\" class=\"row_heading level0 row6\" >6</th>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col0\" class=\"data row6 col0\" >7</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col1\" class=\"data row6 col1\" >14</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col2\" class=\"data row6 col2\" >21</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col3\" class=\"data row6 col3\" >2</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col4\" class=\"data row6 col4\" >9</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col5\" class=\"data row6 col5\" >16</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col6\" class=\"data row6 col6\" >23</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col7\" class=\"data row6 col7\" >4</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col8\" class=\"data row6 col8\" >11</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col9\" class=\"data row6 col9\" >18</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col10\" class=\"data row6 col10\" >25</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col11\" class=\"data row6 col11\" >6</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col12\" class=\"data row6 col12\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col13\" class=\"data row6 col13\" >20</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col14\" class=\"data row6 col14\" >1</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col15\" class=\"data row6 col15\" >8</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col16\" class=\"data row6 col16\" >15</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col17\" class=\"data row6 col17\" >22</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col18\" class=\"data row6 col18\" >3</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col19\" class=\"data row6 col19\" >10</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col20\" class=\"data row6 col20\" >17</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col21\" class=\"data row6 col21\" >24</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col22\" class=\"data row6 col22\" >5</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col23\" class=\"data row6 col23\" >12</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col24\" class=\"data row6 col24\" >19</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow6_col25\" class=\"data row6 col25\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_38538fec_c80c_11ea_8519_3cd92beea2cclevel0_row7\" class=\"row_heading level0 row7\" >7</th>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col0\" class=\"data row7 col0\" >19</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col1\" class=\"data row7 col1\" >12</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col2\" class=\"data row7 col2\" >5</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col3\" class=\"data row7 col3\" >24</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col4\" class=\"data row7 col4\" >17</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col5\" class=\"data row7 col5\" >10</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col6\" class=\"data row7 col6\" >3</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col7\" class=\"data row7 col7\" >22</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col8\" class=\"data row7 col8\" >15</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col9\" class=\"data row7 col9\" >8</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col10\" class=\"data row7 col10\" >1</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col11\" class=\"data row7 col11\" >20</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col12\" class=\"data row7 col12\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col13\" class=\"data row7 col13\" >6</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col14\" class=\"data row7 col14\" >26</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col15\" class=\"data row7 col15\" >18</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col16\" class=\"data row7 col16\" >11</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col17\" class=\"data row7 col17\" >4</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col18\" class=\"data row7 col18\" >23</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col19\" class=\"data row7 col19\" >16</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col20\" class=\"data row7 col20\" >9</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col21\" class=\"data row7 col21\" >2</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col22\" class=\"data row7 col22\" >21</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col23\" class=\"data row7 col23\" >14</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col24\" class=\"data row7 col24\" >7</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow7_col25\" class=\"data row7 col25\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_38538fec_c80c_11ea_8519_3cd92beea2cclevel0_row8\" class=\"row_heading level0 row8\" >8</th>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col0\" class=\"data row8 col0\" >17</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col1\" class=\"data row8 col1\" >8</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col2\" class=\"data row8 col2\" >25</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col3\" class=\"data row8 col3\" >16</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col4\" class=\"data row8 col4\" >7</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col5\" class=\"data row8 col5\" >24</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col6\" class=\"data row8 col6\" >15</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col7\" class=\"data row8 col7\" >6</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col8\" class=\"data row8 col8\" >23</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col9\" class=\"data row8 col9\" >14</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col10\" class=\"data row8 col10\" >5</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col11\" class=\"data row8 col11\" >22</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col12\" class=\"data row8 col12\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col13\" class=\"data row8 col13\" >4</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col14\" class=\"data row8 col14\" >21</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col15\" class=\"data row8 col15\" >12</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col16\" class=\"data row8 col16\" >3</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col17\" class=\"data row8 col17\" >20</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col18\" class=\"data row8 col18\" >11</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col19\" class=\"data row8 col19\" >2</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col20\" class=\"data row8 col20\" >19</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col21\" class=\"data row8 col21\" >10</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col22\" class=\"data row8 col22\" >1</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col23\" class=\"data row8 col23\" >18</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col24\" class=\"data row8 col24\" >9</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow8_col25\" class=\"data row8 col25\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_38538fec_c80c_11ea_8519_3cd92beea2cclevel0_row9\" class=\"row_heading level0 row9\" >9</th>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col0\" class=\"data row9 col0\" >9</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col1\" class=\"data row9 col1\" >18</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col2\" class=\"data row9 col2\" >1</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col3\" class=\"data row9 col3\" >10</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col4\" class=\"data row9 col4\" >19</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col5\" class=\"data row9 col5\" >2</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col6\" class=\"data row9 col6\" >11</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col7\" class=\"data row9 col7\" >20</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col8\" class=\"data row9 col8\" >3</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col9\" class=\"data row9 col9\" >12</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col10\" class=\"data row9 col10\" >21</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col11\" class=\"data row9 col11\" >4</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col12\" class=\"data row9 col12\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col13\" class=\"data row9 col13\" >22</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col14\" class=\"data row9 col14\" >5</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col15\" class=\"data row9 col15\" >14</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col16\" class=\"data row9 col16\" >23</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col17\" class=\"data row9 col17\" >6</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col18\" class=\"data row9 col18\" >15</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col19\" class=\"data row9 col19\" >24</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col20\" class=\"data row9 col20\" >7</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col21\" class=\"data row9 col21\" >16</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col22\" class=\"data row9 col22\" >25</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col23\" class=\"data row9 col23\" >8</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col24\" class=\"data row9 col24\" >17</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow9_col25\" class=\"data row9 col25\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_38538fec_c80c_11ea_8519_3cd92beea2cclevel0_row10\" class=\"row_heading level0 row10\" >10</th>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col0\" class=\"data row10 col0\" >11</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col1\" class=\"data row10 col1\" >22</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col2\" class=\"data row10 col2\" >7</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col3\" class=\"data row10 col3\" >18</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col4\" class=\"data row10 col4\" >3</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col5\" class=\"data row10 col5\" >14</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col6\" class=\"data row10 col6\" >25</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col7\" class=\"data row10 col7\" >10</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col8\" class=\"data row10 col8\" >21</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col9\" class=\"data row10 col9\" >6</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col10\" class=\"data row10 col10\" >17</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col11\" class=\"data row10 col11\" >2</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col12\" class=\"data row10 col12\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col13\" class=\"data row10 col13\" >24</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col14\" class=\"data row10 col14\" >9</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col15\" class=\"data row10 col15\" >20</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col16\" class=\"data row10 col16\" >5</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col17\" class=\"data row10 col17\" >16</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col18\" class=\"data row10 col18\" >1</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col19\" class=\"data row10 col19\" >12</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col20\" class=\"data row10 col20\" >23</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col21\" class=\"data row10 col21\" >8</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col22\" class=\"data row10 col22\" >19</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col23\" class=\"data row10 col23\" >4</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col24\" class=\"data row10 col24\" >15</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow10_col25\" class=\"data row10 col25\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_38538fec_c80c_11ea_8519_3cd92beea2cclevel0_row11\" class=\"row_heading level0 row11\" >11</th>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col0\" class=\"data row11 col0\" >15</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col1\" class=\"data row11 col1\" >4</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col2\" class=\"data row11 col2\" >19</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col3\" class=\"data row11 col3\" >8</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col4\" class=\"data row11 col4\" >23</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col5\" class=\"data row11 col5\" >12</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col6\" class=\"data row11 col6\" >1</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col7\" class=\"data row11 col7\" >16</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col8\" class=\"data row11 col8\" >5</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col9\" class=\"data row11 col9\" >20</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col10\" class=\"data row11 col10\" >9</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col11\" class=\"data row11 col11\" >24</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col12\" class=\"data row11 col12\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col13\" class=\"data row11 col13\" >2</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col14\" class=\"data row11 col14\" >17</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col15\" class=\"data row11 col15\" >6</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col16\" class=\"data row11 col16\" >21</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col17\" class=\"data row11 col17\" >10</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col18\" class=\"data row11 col18\" >25</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col19\" class=\"data row11 col19\" >14</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col20\" class=\"data row11 col20\" >3</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col21\" class=\"data row11 col21\" >18</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col22\" class=\"data row11 col22\" >7</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col23\" class=\"data row11 col23\" >22</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col24\" class=\"data row11 col24\" >11</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow11_col25\" class=\"data row11 col25\" >26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_38538fec_c80c_11ea_8519_3cd92beea2cclevel0_row12\" class=\"row_heading level0 row12\" >12</th>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col0\" class=\"data row12 col0\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col1\" class=\"data row12 col1\" >26</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col2\" class=\"data row12 col2\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col3\" class=\"data row12 col3\" >26</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col4\" class=\"data row12 col4\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col5\" class=\"data row12 col5\" >26</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col6\" class=\"data row12 col6\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col7\" class=\"data row12 col7\" >26</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col8\" class=\"data row12 col8\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col9\" class=\"data row12 col9\" >26</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col10\" class=\"data row12 col10\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col11\" class=\"data row12 col11\" >26</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col12\" class=\"data row12 col12\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col13\" class=\"data row12 col13\" >26</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col14\" class=\"data row12 col14\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col15\" class=\"data row12 col15\" >26</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col16\" class=\"data row12 col16\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col17\" class=\"data row12 col17\" >26</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col18\" class=\"data row12 col18\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col19\" class=\"data row12 col19\" >26</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col20\" class=\"data row12 col20\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col21\" class=\"data row12 col21\" >26</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col22\" class=\"data row12 col22\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col23\" class=\"data row12 col23\" >26</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col24\" class=\"data row12 col24\" >13</td>\n",
       "                        <td id=\"T_38538fec_c80c_11ea_8519_3cd92beea2ccrow12_col25\" class=\"data row12 col25\" >26</td>\n",
       "            </tr>\n",
       "    </tbody></table>"
      ],
      "text/plain": [
       "<pandas.io.formats.style.Styler at 0x7f4bbec99f98>"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cipher.cipher[25].cipher['-'].apply"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['A',\n",
       " 'B',\n",
       " 'C',\n",
       " 'D',\n",
       " 'E',\n",
       " 'F',\n",
       " 'G',\n",
       " 'H',\n",
       " 'I',\n",
       " 'J',\n",
       " 'K',\n",
       " 'L',\n",
       " 'M',\n",
       " 'N',\n",
       " 'O',\n",
       " 'P',\n",
       " 'Q',\n",
       " 'R',\n",
       " 'S',\n",
       " 'T',\n",
       " 'U',\n",
       " 'V',\n",
       " 'W',\n",
       " 'X',\n",
       " 'Y',\n",
       " 'Z']"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "decipher.actual_alphabet"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}