+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "import os,sys,inspect\n",
+ "currentdir = os.path.dirname(os.path.abspath(inspect.getfile(inspect.currentframe())))\n",
+ "parentdir = os.path.dirname(currentdir)\n",
+ "sys.path.insert(0,parentdir) \n",
+ "\n",
+ "import matplotlib.pyplot as plt\n",
+ "%matplotlib inline\n",
+ "\n",
+ "from cipherbreak import *\n",
+ "\n",
+ "c7a = sanitise(open('7a.ciphertext').read())\n",
+ "c7b = sanitise(open('7b.ciphertext').read())"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(('annmarie', <KeywordWrapAlphabet.from_largest: 3>), -1865.8708508162845)"
+ ]
+ },
+ "execution_count": 8,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "(key_a_word, key_a_wrap), score = keyword_break_mp(c7a)\n",
+ "(key_a_word, key_a_wrap), score"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "dhorlieithinkiknacchotisgainganfutineewtadhedkobecthingsfebareirepartcemoyhoveonappartunityhereidhedkewthedipherdlerksfodkgraunwonwitturnsautsheischiterussionherbomilylebtmasdacinfutshehosrelotivesinthegulogotpermshedleorlyhosnalavebarthesavietgavernmentsaiomstillnatsurechashecoscarkingbarfutithinkthisiskeyintelligendeinthemeontimeihovefeencotdhingthefritstheyseemtahovefeenindantodtcithaurbrienwsinthereidhswaktaronwtheyinturnhovefeencotdhingthebrendhitseemslikeceoreollcarkingogoinstaneonatherchidhireollywiwntexpedtonwgivenchotcereowinthebrendhwadumentlostceekiwantthinkthotisodaindiwendemyacnguessisthottherussionsknacchotisgainganonwthotaurfesthapeabundaveringitistafreokintatheirhqonwtrytabinwsamethingthereunbartunotelyoddarwingtamysaurdeyuritheyhovetokentausingonecdiphersalitoirebarordhivestarogeabtapsedretbilessaevenibcemonogetasteoltherelevontbileitcilltokeolatabdamputingtafreokthedipheriottodhofriebmessogebramyuriendryptewusingonomsdadipherkeycarwlengthissixinchidhhewesdrifesthedipheritisverydleversimpletaimplementfutoweviltadrodkonwmyanehapeisthotcedonolsabinwthedipherkeychileinthehqarotleostportabitiplontaenterintcaceeksanwedemfersixteenththerussionsorehastingolorgeprapogonwoeventosportabtheinternotianolefouousstellungcithleowingpalitfuramemfersinottenwondemastabthesedurityteomcillfeaddupiewciththotonwhqseduritycillferelotivelylightcithludkicillgetinonwautciththebilesceneewthotnightonwthencedongettathefattamabthechalereidhswaktarstrotogemollthefesthorry\n"
+ ]
+ }
+ ],
+ "source": [
+ "print(keyword_decipher(c7a, key_a_word, wrap_alphabet=key_a_wrap))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "{'A': 'a',\n",
+ " 'B': 'o',\n",
+ " 'C': 'p',\n",
+ " 'D': 'q',\n",
+ " 'E': 'f',\n",
+ " 'F': 'r',\n",
+ " 'G': 's',\n",
+ " 'H': 't',\n",
+ " 'I': 'e',\n",
+ " 'J': 'u',\n",
+ " 'K': 'v',\n",
+ " 'L': 'w',\n",
+ " 'M': 'c',\n",
+ " 'N': 'b',\n",
+ " 'O': 'x',\n",
+ " 'P': 'y',\n",
+ " 'Q': 'z',\n",
+ " 'R': 'd',\n",
+ " 'S': 'g',\n",
+ " 'T': 'h',\n",
+ " 'U': 'i',\n",
+ " 'V': 'j',\n",
+ " 'W': 'k',\n",
+ " 'X': 'l',\n",
+ " 'Y': 'm',\n",
+ " 'Z': 'n'}"
+ ]
+ },
+ "execution_count": 10,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "trans_a = {p.upper(): c for p, c in zip(keyword_cipher_alphabet_of(key_a_word, wrap_alphabet=key_a_wrap), string.ascii_lowercase, )}\n",
+ "trans_a"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "'charlie i think i know what is going on but i need to check a few things before i report we may have an opportunity here i checked the cipher clerks background and it turns out she is white russian her family left moscow in but she has relatives in the gulag at perm she clearly has no love for the soviet government so i am still not sure who she was working for but i think this is key intelligence in the meantime i have been watching the brits they seem to have been in contact with our friends in the reichs doktor and they in turn have been watching the french it seems like we are all working against one another which i really didnt expect and given what we read in the french document last week i dont think that is a coincidence my own guess is that the russians know what is going on and that our best hope of uncovering it is to break into their hq and try to find something there unfortunately according to my source yuri they have taken to using a new cipher solitaire for archive storage of top secret files so even if we manage to steal the relevant file it will take alot of computing to break the cipher i attach a brief message from yuri encrypted using an amsco cipher keyword length is six in which he describes the cipher it is very clever simple to implement but a devil to crack and my one hope is that we can also find the cipher key while in the hq or atleast part of it i plan to enter in two weeks on december sixteenth the russians are hosting a large propaganda event as part of the international ebau ausstellung with leading politburo members in attendance most of the security team will be occupied with that and hq security will be relatively light with luck i will get in and out with the files we need that night and then we can get to the bottom of the whole reichs doktor stratagem all the best harry'"
+ ]
+ },
+ "execution_count": 3,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "translations = {\n",
+ " 'A': 'o',\n",
+ " 'B': 'a',\n",
+ " 'C': 'p',\n",
+ " 'D': 'q',\n",
+ " 'E': 'b',\n",
+ " 'F': 'r',\n",
+ " 'G': 's',\n",
+ " 'H': 't',\n",
+ " 'I': 'e',\n",
+ " 'J': 'u',\n",
+ " 'K': 'v',\n",
+ " 'L': 'd',\n",
+ " 'M': 'w',\n",
+ " 'N': 'f',\n",
+ " 'O': 'x',\n",
+ " 'P': 'y',\n",
+ " 'Q': 'z',\n",
+ " 'R': 'c',\n",
+ " 'S': 'g',\n",
+ " 'T': 'h',\n",
+ " 'U': 'i',\n",
+ " 'V': 'j',\n",
+ " 'W': 'k',\n",
+ " 'X': 'l',\n",
+ " 'Y': 'm',\n",
+ " 'Z': 'n'}\n",
+ "translation_table = ''.maketrans(translations)\n",
+ "plaintext = ' '.join(segment(c7a.upper().translate(translation_table)))\n",
+ "plaintext"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "'oapqbrsteuvdwfxyzcghijklmn'"
+ ]
+ },
+ "execution_count": 12,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "''.join(translations[l] for l in sorted(translations))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "'BERLINSTUVWXYZACDFGHJKMOPQ'"
+ ]
+ },
+ "execution_count": 13,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "inverted_translations = {translations[a]: a for a in translations}\n",
+ "''.join(inverted_translations[l] for l in sorted(inverted_translations))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "'berlinstuvwxyzacdfghjkmopq'"
+ ]
+ },
+ "execution_count": 4,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "keyword_cipher_alphabet_of('berlin', wrap_alphabet=KeywordWrapAlphabet.from_largest)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "charlie i think i know what is going on but i need to check a few things before i report we may have an opportunity here i checked the cipher clerks background and it turns out she is white russian her family left moscow in but she has relatives in the gulag at perm she clearly has no love for the soviet government so i am still not sure who she was working for but i think this is key intelligence in the meantime i have been watching the brits they seem to have been in contact with our friends in the reichs doktor and they in turn have been watching the french it seems like we are all working against one another which i really didnt expect and given what we read in the french document last week i dont think that is a coincidence my own guess is that the russians know what is going on and that our best hope of uncovering it is to break into their hq and try to find something there unfortunately according to my source yuri they have taken to using a new cipher solitaire for archive storage of top secret files so even if we manage to steal the relevant file it will take alot of computing to break the cipher i attach a brief message from yuri encrypted using an amsco cipher keyword length is six in which he describes the cipher it is very clever simple to implement but a devil to crack and my one hope is that we can also find the cipher key while in the hq or atleast part of it i plan to enter in two weeks on december sixteenth the russians are hosting a large propaganda event as part of the international ebau ausstellung with leading politburo members in attendance most of the security team will be occupied with that and hq security will be relatively light with luck i will get in and out with the files we need that night and then we can get to the bottom of the whole reichs doktor stratagem all the best harry\n"
+ ]
+ }
+ ],
+ "source": [
+ "print(' '.join(segment(keyword_decipher(c7a, 'berlin', wrap_alphabet=KeywordWrapAlphabet.from_largest))))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "{(0, 1, 2, 3, 4, 5): (0, 1, 2, 3, 4, 5),\n",
+ " (0, 1, 2, 3, 5, 4): (0, 1, 2, 3, 5, 4),\n",
+ " (0, 1, 2, 4, 3, 5): (0, 1, 2, 4, 3, 5),\n",
+ " (0, 1, 2, 4, 5, 3): (0, 1, 2, 4, 5, 3),\n",
+ " (0, 1, 2, 5, 3, 4): (0, 1, 2, 5, 3, 4),\n",
+ " (0, 1, 2, 5, 4, 3): (0, 1, 2, 5, 4, 3),\n",
+ " (0, 1, 3, 2, 4, 5): (0, 1, 3, 2, 4, 5),\n",
+ " (0, 1, 3, 2, 5, 4): (0, 1, 3, 2, 5, 4),\n",
+ " (0, 1, 3, 4, 2, 5): (0, 1, 3, 4, 2, 5),\n",
+ " (0, 1, 3, 4, 5, 2): (0, 1, 3, 4, 5, 2),\n",
+ " (0, 1, 3, 5, 2, 4): (0, 1, 3, 5, 2, 4),\n",
+ " (0, 1, 3, 5, 4, 2): (0, 1, 3, 5, 4, 2),\n",
+ " (0, 1, 4, 2, 3, 5): (0, 1, 4, 2, 3, 5),\n",
+ " (0, 1, 4, 2, 5, 3): (0, 1, 4, 2, 5, 3),\n",
+ " (0, 1, 4, 3, 2, 5): (0, 1, 4, 3, 2, 5),\n",
+ " (0, 1, 4, 3, 5, 2): (0, 1, 4, 3, 5, 2),\n",
+ " (0, 1, 4, 5, 2, 3): (0, 1, 4, 5, 2, 3),\n",
+ " (0, 1, 4, 5, 3, 2): (0, 1, 4, 5, 3, 2),\n",
+ " (0, 1, 5, 2, 3, 4): (0, 1, 5, 2, 3, 4),\n",
+ " (0, 1, 5, 2, 4, 3): (0, 1, 5, 2, 4, 3),\n",
+ " (0, 1, 5, 3, 2, 4): (0, 1, 5, 3, 2, 4),\n",
+ " (0, 1, 5, 3, 4, 2): (0, 1, 5, 3, 4, 2),\n",
+ " (0, 1, 5, 4, 2, 3): (0, 1, 5, 4, 2, 3),\n",
+ " (0, 1, 5, 4, 3, 2): (0, 1, 5, 4, 3, 2),\n",
+ " (0, 2, 1, 3, 4, 5): (0, 2, 1, 3, 4, 5),\n",
+ " (0, 2, 1, 3, 5, 4): (0, 2, 1, 3, 5, 4),\n",
+ " (0, 2, 1, 4, 3, 5): (0, 2, 1, 4, 3, 5),\n",
+ " (0, 2, 1, 4, 5, 3): (0, 2, 1, 4, 5, 3),\n",
+ " (0, 2, 1, 5, 3, 4): (0, 2, 1, 5, 3, 4),\n",
+ " (0, 2, 1, 5, 4, 3): (0, 2, 1, 5, 4, 3),\n",
+ " (0, 2, 3, 1, 4, 5): (0, 2, 3, 1, 4, 5),\n",
+ " (0, 2, 3, 1, 5, 4): (0, 2, 3, 1, 5, 4),\n",
+ " (0, 2, 3, 4, 1, 5): (0, 2, 3, 4, 1, 5),\n",
+ " (0, 2, 3, 4, 5, 1): (0, 2, 3, 4, 5, 1),\n",
+ " (0, 2, 3, 5, 1, 4): (0, 2, 3, 5, 1, 4),\n",
+ " (0, 2, 3, 5, 4, 1): (0, 2, 3, 5, 4, 1),\n",
+ " (0, 2, 4, 1, 3, 5): (0, 2, 4, 1, 3, 5),\n",
+ " (0, 2, 4, 1, 5, 3): (0, 2, 4, 1, 5, 3),\n",
+ " (0, 2, 4, 3, 1, 5): (0, 2, 4, 3, 1, 5),\n",
+ " (0, 2, 4, 3, 5, 1): (0, 2, 4, 3, 5, 1),\n",
+ " (0, 2, 4, 5, 1, 3): (0, 2, 4, 5, 1, 3),\n",
+ " (0, 2, 4, 5, 3, 1): (0, 2, 4, 5, 3, 1),\n",
+ " (0, 2, 5, 1, 3, 4): (0, 2, 5, 1, 3, 4),\n",
+ " (0, 2, 5, 1, 4, 3): (0, 2, 5, 1, 4, 3),\n",
+ " (0, 2, 5, 3, 1, 4): (0, 2, 5, 3, 1, 4),\n",
+ " (0, 2, 5, 3, 4, 1): (0, 2, 5, 3, 4, 1),\n",
+ " (0, 2, 5, 4, 1, 3): (0, 2, 5, 4, 1, 3),\n",
+ " (0, 2, 5, 4, 3, 1): (0, 2, 5, 4, 3, 1),\n",
+ " (0, 3, 1, 2, 4, 5): (0, 3, 1, 2, 4, 5),\n",
+ " (0, 3, 1, 2, 5, 4): (0, 3, 1, 2, 5, 4),\n",
+ " (0, 3, 1, 4, 2, 5): (0, 3, 1, 4, 2, 5),\n",
+ " (0, 3, 1, 4, 5, 2): (0, 3, 1, 4, 5, 2),\n",
+ " (0, 3, 1, 5, 2, 4): (0, 3, 1, 5, 2, 4),\n",
+ " (0, 3, 1, 5, 4, 2): (0, 3, 1, 5, 4, 2),\n",
+ " (0, 3, 2, 1, 4, 5): (0, 3, 2, 1, 4, 5),\n",
+ " (0, 3, 2, 1, 5, 4): (0, 3, 2, 1, 5, 4),\n",
+ " (0, 3, 2, 4, 1, 5): (0, 3, 2, 4, 1, 5),\n",
+ " (0, 3, 2, 4, 5, 1): (0, 3, 2, 4, 5, 1),\n",
+ " (0, 3, 2, 5, 1, 4): (0, 3, 2, 5, 1, 4),\n",
+ " (0, 3, 2, 5, 4, 1): (0, 3, 2, 5, 4, 1),\n",
+ " (0, 3, 4, 1, 2, 5): (0, 3, 4, 1, 2, 5),\n",
+ " (0, 3, 4, 1, 5, 2): (0, 3, 4, 1, 5, 2),\n",
+ " (0, 3, 4, 2, 1, 5): (0, 3, 4, 2, 1, 5),\n",
+ " (0, 3, 4, 2, 5, 1): (0, 3, 4, 2, 5, 1),\n",
+ " (0, 3, 4, 5, 1, 2): (0, 3, 4, 5, 1, 2),\n",
+ " (0, 3, 4, 5, 2, 1): (0, 3, 4, 5, 2, 1),\n",
+ " (0, 3, 5, 1, 2, 4): (0, 3, 5, 1, 2, 4),\n",
+ " (0, 3, 5, 1, 4, 2): (0, 3, 5, 1, 4, 2),\n",
+ " (0, 3, 5, 2, 1, 4): (0, 3, 5, 2, 1, 4),\n",
+ " (0, 3, 5, 2, 4, 1): (0, 3, 5, 2, 4, 1),\n",
+ " (0, 3, 5, 4, 1, 2): (0, 3, 5, 4, 1, 2),\n",
+ " (0, 3, 5, 4, 2, 1): (0, 3, 5, 4, 2, 1),\n",
+ " (0, 4, 1, 2, 3, 5): (0, 4, 1, 2, 3, 5),\n",
+ " (0, 4, 1, 2, 5, 3): (0, 4, 1, 2, 5, 3),\n",
+ " (0, 4, 1, 3, 2, 5): (0, 4, 1, 3, 2, 5),\n",
+ " (0, 4, 1, 3, 5, 2): (0, 4, 1, 3, 5, 2),\n",
+ " (0, 4, 1, 5, 2, 3): (0, 4, 1, 5, 2, 3),\n",
+ " (0, 4, 1, 5, 3, 2): (0, 4, 1, 5, 3, 2),\n",
+ " (0, 4, 2, 1, 3, 5): (0, 4, 2, 1, 3, 5),\n",
+ " (0, 4, 2, 1, 5, 3): (0, 4, 2, 1, 5, 3),\n",
+ " (0, 4, 2, 3, 1, 5): (0, 4, 2, 3, 1, 5),\n",
+ " (0, 4, 2, 3, 5, 1): (0, 4, 2, 3, 5, 1),\n",
+ " (0, 4, 2, 5, 1, 3): (0, 4, 2, 5, 1, 3),\n",
+ " (0, 4, 2, 5, 3, 1): (0, 4, 2, 5, 3, 1),\n",
+ " (0, 4, 3, 1, 2, 5): (0, 4, 3, 1, 2, 5),\n",
+ " (0, 4, 3, 1, 5, 2): (0, 4, 3, 1, 5, 2),\n",
+ " (0, 4, 3, 2, 1, 5): (0, 4, 3, 2, 1, 5),\n",
+ " (0, 4, 3, 2, 5, 1): (0, 4, 3, 2, 5, 1),\n",
+ " (0, 4, 3, 5, 1, 2): (0, 4, 3, 5, 1, 2),\n",
+ " (0, 4, 3, 5, 2, 1): (0, 4, 3, 5, 2, 1),\n",
+ " (0, 4, 5, 1, 2, 3): (0, 4, 5, 1, 2, 3),\n",
+ " (0, 4, 5, 1, 3, 2): (0, 4, 5, 1, 3, 2),\n",
+ " (0, 4, 5, 2, 1, 3): (0, 4, 5, 2, 1, 3),\n",
+ " (0, 4, 5, 2, 3, 1): (0, 4, 5, 2, 3, 1),\n",
+ " (0, 4, 5, 3, 1, 2): (0, 4, 5, 3, 1, 2),\n",
+ " (0, 4, 5, 3, 2, 1): (0, 4, 5, 3, 2, 1),\n",
+ " (0, 5, 1, 2, 3, 4): (0, 5, 1, 2, 3, 4),\n",
+ " (0, 5, 1, 2, 4, 3): (0, 5, 1, 2, 4, 3),\n",
+ " (0, 5, 1, 3, 2, 4): (0, 5, 1, 3, 2, 4),\n",
+ " (0, 5, 1, 3, 4, 2): (0, 5, 1, 3, 4, 2),\n",
+ " (0, 5, 1, 4, 2, 3): (0, 5, 1, 4, 2, 3),\n",
+ " (0, 5, 1, 4, 3, 2): (0, 5, 1, 4, 3, 2),\n",
+ " (0, 5, 2, 1, 3, 4): (0, 5, 2, 1, 3, 4),\n",
+ " (0, 5, 2, 1, 4, 3): (0, 5, 2, 1, 4, 3),\n",
+ " (0, 5, 2, 3, 1, 4): (0, 5, 2, 3, 1, 4),\n",
+ " (0, 5, 2, 3, 4, 1): (0, 5, 2, 3, 4, 1),\n",
+ " (0, 5, 2, 4, 1, 3): (0, 5, 2, 4, 1, 3),\n",
+ " (0, 5, 2, 4, 3, 1): (0, 5, 2, 4, 3, 1),\n",
+ " (0, 5, 3, 1, 2, 4): (0, 5, 3, 1, 2, 4),\n",
+ " (0, 5, 3, 1, 4, 2): (0, 5, 3, 1, 4, 2),\n",
+ " (0, 5, 3, 2, 1, 4): (0, 5, 3, 2, 1, 4),\n",
+ " (0, 5, 3, 2, 4, 1): (0, 5, 3, 2, 4, 1),\n",
+ " (0, 5, 3, 4, 1, 2): (0, 5, 3, 4, 1, 2),\n",
+ " (0, 5, 3, 4, 2, 1): (0, 5, 3, 4, 2, 1),\n",
+ " (0, 5, 4, 1, 2, 3): (0, 5, 4, 1, 2, 3),\n",
+ " (0, 5, 4, 1, 3, 2): (0, 5, 4, 1, 3, 2),\n",
+ " (0, 5, 4, 2, 1, 3): (0, 5, 4, 2, 1, 3),\n",
+ " (0, 5, 4, 2, 3, 1): (0, 5, 4, 2, 3, 1),\n",
+ " (0, 5, 4, 3, 1, 2): (0, 5, 4, 3, 1, 2),\n",
+ " (0, 5, 4, 3, 2, 1): (0, 5, 4, 3, 2, 1),\n",
+ " (1, 0, 2, 3, 4, 5): (1, 0, 2, 3, 4, 5),\n",
+ " (1, 0, 2, 3, 5, 4): (1, 0, 2, 3, 5, 4),\n",
+ " (1, 0, 2, 4, 3, 5): (1, 0, 2, 4, 3, 5),\n",
+ " (1, 0, 2, 4, 5, 3): (1, 0, 2, 4, 5, 3),\n",
+ " (1, 0, 2, 5, 3, 4): (1, 0, 2, 5, 3, 4),\n",
+ " (1, 0, 2, 5, 4, 3): (1, 0, 2, 5, 4, 3),\n",
+ " (1, 0, 3, 2, 4, 5): (1, 0, 3, 2, 4, 5),\n",
+ " (1, 0, 3, 2, 5, 4): (1, 0, 3, 2, 5, 4),\n",
+ " (1, 0, 3, 4, 2, 5): (1, 0, 3, 4, 2, 5),\n",
+ " (1, 0, 3, 4, 5, 2): (1, 0, 3, 4, 5, 2),\n",
+ " (1, 0, 3, 5, 2, 4): (1, 0, 3, 5, 2, 4),\n",
+ " (1, 0, 3, 5, 4, 2): (1, 0, 3, 5, 4, 2),\n",
+ " (1, 0, 4, 2, 3, 5): (1, 0, 4, 2, 3, 5),\n",
+ " (1, 0, 4, 2, 5, 3): (1, 0, 4, 2, 5, 3),\n",
+ " (1, 0, 4, 3, 2, 5): (1, 0, 4, 3, 2, 5),\n",
+ " (1, 0, 4, 3, 5, 2): (1, 0, 4, 3, 5, 2),\n",
+ " (1, 0, 4, 5, 2, 3): (1, 0, 4, 5, 2, 3),\n",
+ " (1, 0, 4, 5, 3, 2): (1, 0, 4, 5, 3, 2),\n",
+ " (1, 0, 5, 2, 3, 4): (1, 0, 5, 2, 3, 4),\n",
+ " (1, 0, 5, 2, 4, 3): (1, 0, 5, 2, 4, 3),\n",
+ " (1, 0, 5, 3, 2, 4): (1, 0, 5, 3, 2, 4),\n",
+ " (1, 0, 5, 3, 4, 2): (1, 0, 5, 3, 4, 2),\n",
+ " (1, 0, 5, 4, 2, 3): (1, 0, 5, 4, 2, 3),\n",
+ " (1, 0, 5, 4, 3, 2): (1, 0, 5, 4, 3, 2),\n",
+ " (1, 2, 0, 3, 4, 5): (1, 2, 0, 3, 4, 5),\n",
+ " (1, 2, 0, 3, 5, 4): (1, 2, 0, 3, 5, 4),\n",
+ " (1, 2, 0, 4, 3, 5): (1, 2, 0, 4, 3, 5),\n",
+ " (1, 2, 0, 4, 5, 3): (1, 2, 0, 4, 5, 3),\n",
+ " (1, 2, 0, 5, 3, 4): (1, 2, 0, 5, 3, 4),\n",
+ " (1, 2, 0, 5, 4, 3): (1, 2, 0, 5, 4, 3),\n",
+ " (1, 2, 3, 0, 4, 5): (1, 2, 3, 0, 4, 5),\n",
+ " (1, 2, 3, 0, 5, 4): (1, 2, 3, 0, 5, 4),\n",
+ " (1, 2, 3, 4, 0, 5): (1, 2, 3, 4, 0, 5),\n",
+ " (1, 2, 3, 4, 5, 0): (1, 2, 3, 4, 5, 0),\n",
+ " (1, 2, 3, 5, 0, 4): (1, 2, 3, 5, 0, 4),\n",
+ " (1, 2, 3, 5, 4, 0): (1, 2, 3, 5, 4, 0),\n",
+ " (1, 2, 4, 0, 3, 5): (1, 2, 4, 0, 3, 5),\n",
+ " (1, 2, 4, 0, 5, 3): (1, 2, 4, 0, 5, 3),\n",
+ " (1, 2, 4, 3, 0, 5): (1, 2, 4, 3, 0, 5),\n",
+ " (1, 2, 4, 3, 5, 0): (1, 2, 4, 3, 5, 0),\n",
+ " (1, 2, 4, 5, 0, 3): (1, 2, 4, 5, 0, 3),\n",
+ " (1, 2, 4, 5, 3, 0): (1, 2, 4, 5, 3, 0),\n",
+ " (1, 2, 5, 0, 3, 4): (1, 2, 5, 0, 3, 4),\n",
+ " (1, 2, 5, 0, 4, 3): (1, 2, 5, 0, 4, 3),\n",
+ " (1, 2, 5, 3, 0, 4): (1, 2, 5, 3, 0, 4),\n",
+ " (1, 2, 5, 3, 4, 0): (1, 2, 5, 3, 4, 0),\n",
+ " (1, 2, 5, 4, 0, 3): (1, 2, 5, 4, 0, 3),\n",
+ " (1, 2, 5, 4, 3, 0): (1, 2, 5, 4, 3, 0),\n",
+ " (1, 3, 0, 2, 4, 5): (1, 3, 0, 2, 4, 5),\n",
+ " (1, 3, 0, 2, 5, 4): (1, 3, 0, 2, 5, 4),\n",
+ " (1, 3, 0, 4, 2, 5): (1, 3, 0, 4, 2, 5),\n",
+ " (1, 3, 0, 4, 5, 2): (1, 3, 0, 4, 5, 2),\n",
+ " (1, 3, 0, 5, 2, 4): (1, 3, 0, 5, 2, 4),\n",
+ " (1, 3, 0, 5, 4, 2): (1, 3, 0, 5, 4, 2),\n",
+ " (1, 3, 2, 0, 4, 5): (1, 3, 2, 0, 4, 5),\n",
+ " (1, 3, 2, 0, 5, 4): (1, 3, 2, 0, 5, 4),\n",
+ " (1, 3, 2, 4, 0, 5): (1, 3, 2, 4, 0, 5),\n",
+ " (1, 3, 2, 4, 5, 0): (1, 3, 2, 4, 5, 0),\n",
+ " (1, 3, 2, 5, 0, 4): (1, 3, 2, 5, 0, 4),\n",
+ " (1, 3, 2, 5, 4, 0): (1, 3, 2, 5, 4, 0),\n",
+ " (1, 3, 4, 0, 2, 5): (1, 3, 4, 0, 2, 5),\n",
+ " (1, 3, 4, 0, 5, 2): (1, 3, 4, 0, 5, 2),\n",
+ " (1, 3, 4, 2, 0, 5): (1, 3, 4, 2, 0, 5),\n",
+ " (1, 3, 4, 2, 5, 0): (1, 3, 4, 2, 5, 0),\n",
+ " (1, 3, 4, 5, 0, 2): (1, 3, 4, 5, 0, 2),\n",
+ " (1, 3, 4, 5, 2, 0): (1, 3, 4, 5, 2, 0),\n",
+ " (1, 3, 5, 0, 2, 4): (1, 3, 5, 0, 2, 4),\n",
+ " (1, 3, 5, 0, 4, 2): (1, 3, 5, 0, 4, 2),\n",
+ " (1, 3, 5, 2, 0, 4): (1, 3, 5, 2, 0, 4),\n",
+ " (1, 3, 5, 2, 4, 0): (1, 3, 5, 2, 4, 0),\n",
+ " (1, 3, 5, 4, 0, 2): (1, 3, 5, 4, 0, 2),\n",
+ " (1, 3, 5, 4, 2, 0): (1, 3, 5, 4, 2, 0),\n",
+ " (1, 4, 0, 2, 3, 5): (1, 4, 0, 2, 3, 5),\n",
+ " (1, 4, 0, 2, 5, 3): (1, 4, 0, 2, 5, 3),\n",
+ " (1, 4, 0, 3, 2, 5): (1, 4, 0, 3, 2, 5),\n",
+ " (1, 4, 0, 3, 5, 2): (1, 4, 0, 3, 5, 2),\n",
+ " (1, 4, 0, 5, 2, 3): (1, 4, 0, 5, 2, 3),\n",
+ " (1, 4, 0, 5, 3, 2): (1, 4, 0, 5, 3, 2),\n",
+ " (1, 4, 2, 0, 3, 5): (1, 4, 2, 0, 3, 5),\n",
+ " (1, 4, 2, 0, 5, 3): (1, 4, 2, 0, 5, 3),\n",
+ " (1, 4, 2, 3, 0, 5): (1, 4, 2, 3, 0, 5),\n",
+ " (1, 4, 2, 3, 5, 0): (1, 4, 2, 3, 5, 0),\n",
+ " (1, 4, 2, 5, 0, 3): (1, 4, 2, 5, 0, 3),\n",
+ " (1, 4, 2, 5, 3, 0): (1, 4, 2, 5, 3, 0),\n",
+ " (1, 4, 3, 0, 2, 5): (1, 4, 3, 0, 2, 5),\n",
+ " (1, 4, 3, 0, 5, 2): (1, 4, 3, 0, 5, 2),\n",
+ " (1, 4, 3, 2, 0, 5): (1, 4, 3, 2, 0, 5),\n",
+ " (1, 4, 3, 2, 5, 0): (1, 4, 3, 2, 5, 0),\n",
+ " (1, 4, 3, 5, 0, 2): (1, 4, 3, 5, 0, 2),\n",
+ " (1, 4, 3, 5, 2, 0): (1, 4, 3, 5, 2, 0),\n",
+ " (1, 4, 5, 0, 2, 3): (1, 4, 5, 0, 2, 3),\n",
+ " (1, 4, 5, 0, 3, 2): (1, 4, 5, 0, 3, 2),\n",
+ " (1, 4, 5, 2, 0, 3): (1, 4, 5, 2, 0, 3),\n",
+ " (1, 4, 5, 2, 3, 0): (1, 4, 5, 2, 3, 0),\n",
+ " (1, 4, 5, 3, 0, 2): (1, 4, 5, 3, 0, 2),\n",
+ " (1, 4, 5, 3, 2, 0): (1, 4, 5, 3, 2, 0),\n",
+ " (1, 5, 0, 2, 3, 4): (1, 5, 0, 2, 3, 4),\n",
+ " (1, 5, 0, 2, 4, 3): (1, 5, 0, 2, 4, 3),\n",
+ " (1, 5, 0, 3, 2, 4): (1, 5, 0, 3, 2, 4),\n",
+ " (1, 5, 0, 3, 4, 2): (1, 5, 0, 3, 4, 2),\n",
+ " (1, 5, 0, 4, 2, 3): (1, 5, 0, 4, 2, 3),\n",
+ " (1, 5, 0, 4, 3, 2): (1, 5, 0, 4, 3, 2),\n",
+ " (1, 5, 2, 0, 3, 4): (1, 5, 2, 0, 3, 4),\n",
+ " (1, 5, 2, 0, 4, 3): (1, 5, 2, 0, 4, 3),\n",
+ " (1, 5, 2, 3, 0, 4): (1, 5, 2, 3, 0, 4),\n",
+ " (1, 5, 2, 3, 4, 0): (1, 5, 2, 3, 4, 0),\n",
+ " (1, 5, 2, 4, 0, 3): (1, 5, 2, 4, 0, 3),\n",
+ " (1, 5, 2, 4, 3, 0): (1, 5, 2, 4, 3, 0),\n",
+ " (1, 5, 3, 0, 2, 4): (1, 5, 3, 0, 2, 4),\n",
+ " (1, 5, 3, 0, 4, 2): (1, 5, 3, 0, 4, 2),\n",
+ " (1, 5, 3, 2, 0, 4): (1, 5, 3, 2, 0, 4),\n",
+ " (1, 5, 3, 2, 4, 0): (1, 5, 3, 2, 4, 0),\n",
+ " (1, 5, 3, 4, 0, 2): (1, 5, 3, 4, 0, 2),\n",
+ " (1, 5, 3, 4, 2, 0): (1, 5, 3, 4, 2, 0),\n",
+ " (1, 5, 4, 0, 2, 3): (1, 5, 4, 0, 2, 3),\n",
+ " (1, 5, 4, 0, 3, 2): (1, 5, 4, 0, 3, 2),\n",
+ " (1, 5, 4, 2, 0, 3): (1, 5, 4, 2, 0, 3),\n",
+ " (1, 5, 4, 2, 3, 0): (1, 5, 4, 2, 3, 0),\n",
+ " (1, 5, 4, 3, 0, 2): (1, 5, 4, 3, 0, 2),\n",
+ " (1, 5, 4, 3, 2, 0): (1, 5, 4, 3, 2, 0),\n",
+ " (2, 0, 1, 3, 4, 5): (2, 0, 1, 3, 4, 5),\n",
+ " (2, 0, 1, 3, 5, 4): (2, 0, 1, 3, 5, 4),\n",
+ " (2, 0, 1, 4, 3, 5): (2, 0, 1, 4, 3, 5),\n",
+ " (2, 0, 1, 4, 5, 3): (2, 0, 1, 4, 5, 3),\n",
+ " (2, 0, 1, 5, 3, 4): (2, 0, 1, 5, 3, 4),\n",
+ " (2, 0, 1, 5, 4, 3): (2, 0, 1, 5, 4, 3),\n",
+ " (2, 0, 3, 1, 4, 5): (2, 0, 3, 1, 4, 5),\n",
+ " (2, 0, 3, 1, 5, 4): (2, 0, 3, 1, 5, 4),\n",
+ " (2, 0, 3, 4, 1, 5): (2, 0, 3, 4, 1, 5),\n",
+ " (2, 0, 3, 4, 5, 1): (2, 0, 3, 4, 5, 1),\n",
+ " (2, 0, 3, 5, 1, 4): (2, 0, 3, 5, 1, 4),\n",
+ " (2, 0, 3, 5, 4, 1): (2, 0, 3, 5, 4, 1),\n",
+ " (2, 0, 4, 1, 3, 5): (2, 0, 4, 1, 3, 5),\n",
+ " (2, 0, 4, 1, 5, 3): (2, 0, 4, 1, 5, 3),\n",
+ " (2, 0, 4, 3, 1, 5): (2, 0, 4, 3, 1, 5),\n",
+ " (2, 0, 4, 3, 5, 1): (2, 0, 4, 3, 5, 1),\n",
+ " (2, 0, 4, 5, 1, 3): (2, 0, 4, 5, 1, 3),\n",
+ " (2, 0, 4, 5, 3, 1): (2, 0, 4, 5, 3, 1),\n",
+ " (2, 0, 5, 1, 3, 4): (2, 0, 5, 1, 3, 4),\n",
+ " (2, 0, 5, 1, 4, 3): (2, 0, 5, 1, 4, 3),\n",
+ " (2, 0, 5, 3, 1, 4): (2, 0, 5, 3, 1, 4),\n",
+ " (2, 0, 5, 3, 4, 1): (2, 0, 5, 3, 4, 1),\n",
+ " (2, 0, 5, 4, 1, 3): (2, 0, 5, 4, 1, 3),\n",
+ " (2, 0, 5, 4, 3, 1): (2, 0, 5, 4, 3, 1),\n",
+ " (2, 1, 0, 3, 4, 5): (2, 1, 0, 3, 4, 5),\n",
+ " (2, 1, 0, 3, 5, 4): (2, 1, 0, 3, 5, 4),\n",
+ " (2, 1, 0, 4, 3, 5): (2, 1, 0, 4, 3, 5),\n",
+ " (2, 1, 0, 4, 5, 3): (2, 1, 0, 4, 5, 3),\n",
+ " (2, 1, 0, 5, 3, 4): (2, 1, 0, 5, 3, 4),\n",
+ " (2, 1, 0, 5, 4, 3): (2, 1, 0, 5, 4, 3),\n",
+ " (2, 1, 3, 0, 4, 5): (2, 1, 3, 0, 4, 5),\n",
+ " (2, 1, 3, 0, 5, 4): (2, 1, 3, 0, 5, 4),\n",
+ " (2, 1, 3, 4, 0, 5): (2, 1, 3, 4, 0, 5),\n",
+ " (2, 1, 3, 4, 5, 0): (2, 1, 3, 4, 5, 0),\n",
+ " (2, 1, 3, 5, 0, 4): (2, 1, 3, 5, 0, 4),\n",
+ " (2, 1, 3, 5, 4, 0): (2, 1, 3, 5, 4, 0),\n",
+ " (2, 1, 4, 0, 3, 5): (2, 1, 4, 0, 3, 5),\n",
+ " (2, 1, 4, 0, 5, 3): (2, 1, 4, 0, 5, 3),\n",
+ " (2, 1, 4, 3, 0, 5): (2, 1, 4, 3, 0, 5),\n",
+ " (2, 1, 4, 3, 5, 0): (2, 1, 4, 3, 5, 0),\n",
+ " (2, 1, 4, 5, 0, 3): (2, 1, 4, 5, 0, 3),\n",
+ " (2, 1, 4, 5, 3, 0): (2, 1, 4, 5, 3, 0),\n",
+ " (2, 1, 5, 0, 3, 4): (2, 1, 5, 0, 3, 4),\n",
+ " (2, 1, 5, 0, 4, 3): (2, 1, 5, 0, 4, 3),\n",
+ " (2, 1, 5, 3, 0, 4): (2, 1, 5, 3, 0, 4),\n",
+ " (2, 1, 5, 3, 4, 0): (2, 1, 5, 3, 4, 0),\n",
+ " (2, 1, 5, 4, 0, 3): (2, 1, 5, 4, 0, 3),\n",
+ " (2, 1, 5, 4, 3, 0): (2, 1, 5, 4, 3, 0),\n",
+ " (2, 3, 0, 1, 4, 5): (2, 3, 0, 1, 4, 5),\n",
+ " (2, 3, 0, 1, 5, 4): (2, 3, 0, 1, 5, 4),\n",
+ " (2, 3, 0, 4, 1, 5): (2, 3, 0, 4, 1, 5),\n",
+ " (2, 3, 0, 4, 5, 1): (2, 3, 0, 4, 5, 1),\n",
+ " (2, 3, 0, 5, 1, 4): (2, 3, 0, 5, 1, 4),\n",
+ " (2, 3, 0, 5, 4, 1): (2, 3, 0, 5, 4, 1),\n",
+ " (2, 3, 1, 0, 4, 5): (2, 3, 1, 0, 4, 5),\n",
+ " (2, 3, 1, 0, 5, 4): (2, 3, 1, 0, 5, 4),\n",
+ " (2, 3, 1, 4, 0, 5): (2, 3, 1, 4, 0, 5),\n",
+ " (2, 3, 1, 4, 5, 0): (2, 3, 1, 4, 5, 0),\n",
+ " (2, 3, 1, 5, 0, 4): (2, 3, 1, 5, 0, 4),\n",
+ " (2, 3, 1, 5, 4, 0): (2, 3, 1, 5, 4, 0),\n",
+ " (2, 3, 4, 0, 1, 5): (2, 3, 4, 0, 1, 5),\n",
+ " (2, 3, 4, 0, 5, 1): (2, 3, 4, 0, 5, 1),\n",
+ " (2, 3, 4, 1, 0, 5): (2, 3, 4, 1, 0, 5),\n",
+ " (2, 3, 4, 1, 5, 0): (2, 3, 4, 1, 5, 0),\n",
+ " (2, 3, 4, 5, 0, 1): (2, 3, 4, 5, 0, 1),\n",
+ " (2, 3, 4, 5, 1, 0): (2, 3, 4, 5, 1, 0),\n",
+ " (2, 3, 5, 0, 1, 4): (2, 3, 5, 0, 1, 4),\n",
+ " (2, 3, 5, 0, 4, 1): (2, 3, 5, 0, 4, 1),\n",
+ " (2, 3, 5, 1, 0, 4): (2, 3, 5, 1, 0, 4),\n",
+ " (2, 3, 5, 1, 4, 0): (2, 3, 5, 1, 4, 0),\n",
+ " (2, 3, 5, 4, 0, 1): (2, 3, 5, 4, 0, 1),\n",
+ " (2, 3, 5, 4, 1, 0): (2, 3, 5, 4, 1, 0),\n",
+ " (2, 4, 0, 1, 3, 5): (2, 4, 0, 1, 3, 5),\n",
+ " (2, 4, 0, 1, 5, 3): (2, 4, 0, 1, 5, 3),\n",
+ " (2, 4, 0, 3, 1, 5): (2, 4, 0, 3, 1, 5),\n",
+ " (2, 4, 0, 3, 5, 1): (2, 4, 0, 3, 5, 1),\n",
+ " (2, 4, 0, 5, 1, 3): (2, 4, 0, 5, 1, 3),\n",
+ " (2, 4, 0, 5, 3, 1): (2, 4, 0, 5, 3, 1),\n",
+ " (2, 4, 1, 0, 3, 5): (2, 4, 1, 0, 3, 5),\n",
+ " (2, 4, 1, 0, 5, 3): (2, 4, 1, 0, 5, 3),\n",
+ " (2, 4, 1, 3, 0, 5): (2, 4, 1, 3, 0, 5),\n",
+ " (2, 4, 1, 3, 5, 0): (2, 4, 1, 3, 5, 0),\n",
+ " (2, 4, 1, 5, 0, 3): (2, 4, 1, 5, 0, 3),\n",
+ " (2, 4, 1, 5, 3, 0): (2, 4, 1, 5, 3, 0),\n",
+ " (2, 4, 3, 0, 1, 5): (2, 4, 3, 0, 1, 5),\n",
+ " (2, 4, 3, 0, 5, 1): (2, 4, 3, 0, 5, 1),\n",
+ " (2, 4, 3, 1, 0, 5): (2, 4, 3, 1, 0, 5),\n",
+ " (2, 4, 3, 1, 5, 0): (2, 4, 3, 1, 5, 0),\n",
+ " (2, 4, 3, 5, 0, 1): (2, 4, 3, 5, 0, 1),\n",
+ " (2, 4, 3, 5, 1, 0): (2, 4, 3, 5, 1, 0),\n",
+ " (2, 4, 5, 0, 1, 3): (2, 4, 5, 0, 1, 3),\n",
+ " (2, 4, 5, 0, 3, 1): (2, 4, 5, 0, 3, 1),\n",
+ " (2, 4, 5, 1, 0, 3): (2, 4, 5, 1, 0, 3),\n",
+ " (2, 4, 5, 1, 3, 0): (2, 4, 5, 1, 3, 0),\n",
+ " (2, 4, 5, 3, 0, 1): (2, 4, 5, 3, 0, 1),\n",
+ " (2, 4, 5, 3, 1, 0): (2, 4, 5, 3, 1, 0),\n",
+ " (2, 5, 0, 1, 3, 4): (2, 5, 0, 1, 3, 4),\n",
+ " (2, 5, 0, 1, 4, 3): (2, 5, 0, 1, 4, 3),\n",
+ " (2, 5, 0, 3, 1, 4): (2, 5, 0, 3, 1, 4),\n",
+ " (2, 5, 0, 3, 4, 1): (2, 5, 0, 3, 4, 1),\n",
+ " (2, 5, 0, 4, 1, 3): (2, 5, 0, 4, 1, 3),\n",
+ " (2, 5, 0, 4, 3, 1): (2, 5, 0, 4, 3, 1),\n",
+ " (2, 5, 1, 0, 3, 4): (2, 5, 1, 0, 3, 4),\n",
+ " (2, 5, 1, 0, 4, 3): (2, 5, 1, 0, 4, 3),\n",
+ " (2, 5, 1, 3, 0, 4): (2, 5, 1, 3, 0, 4),\n",
+ " (2, 5, 1, 3, 4, 0): (2, 5, 1, 3, 4, 0),\n",
+ " (2, 5, 1, 4, 0, 3): (2, 5, 1, 4, 0, 3),\n",
+ " (2, 5, 1, 4, 3, 0): (2, 5, 1, 4, 3, 0),\n",
+ " (2, 5, 3, 0, 1, 4): (2, 5, 3, 0, 1, 4),\n",
+ " (2, 5, 3, 0, 4, 1): (2, 5, 3, 0, 4, 1),\n",
+ " (2, 5, 3, 1, 0, 4): (2, 5, 3, 1, 0, 4),\n",
+ " (2, 5, 3, 1, 4, 0): (2, 5, 3, 1, 4, 0),\n",
+ " (2, 5, 3, 4, 0, 1): (2, 5, 3, 4, 0, 1),\n",
+ " (2, 5, 3, 4, 1, 0): (2, 5, 3, 4, 1, 0),\n",
+ " (2, 5, 4, 0, 1, 3): (2, 5, 4, 0, 1, 3),\n",
+ " (2, 5, 4, 0, 3, 1): (2, 5, 4, 0, 3, 1),\n",
+ " (2, 5, 4, 1, 0, 3): (2, 5, 4, 1, 0, 3),\n",
+ " (2, 5, 4, 1, 3, 0): (2, 5, 4, 1, 3, 0),\n",
+ " (2, 5, 4, 3, 0, 1): (2, 5, 4, 3, 0, 1),\n",
+ " (2, 5, 4, 3, 1, 0): (2, 5, 4, 3, 1, 0),\n",
+ " (3, 0, 1, 2, 4, 5): (3, 0, 1, 2, 4, 5),\n",
+ " (3, 0, 1, 2, 5, 4): (3, 0, 1, 2, 5, 4),\n",
+ " (3, 0, 1, 4, 2, 5): (3, 0, 1, 4, 2, 5),\n",
+ " (3, 0, 1, 4, 5, 2): (3, 0, 1, 4, 5, 2),\n",
+ " (3, 0, 1, 5, 2, 4): (3, 0, 1, 5, 2, 4),\n",
+ " (3, 0, 1, 5, 4, 2): (3, 0, 1, 5, 4, 2),\n",
+ " (3, 0, 2, 1, 4, 5): (3, 0, 2, 1, 4, 5),\n",
+ " (3, 0, 2, 1, 5, 4): (3, 0, 2, 1, 5, 4),\n",
+ " (3, 0, 2, 4, 1, 5): (3, 0, 2, 4, 1, 5),\n",
+ " (3, 0, 2, 4, 5, 1): (3, 0, 2, 4, 5, 1),\n",
+ " (3, 0, 2, 5, 1, 4): (3, 0, 2, 5, 1, 4),\n",
+ " (3, 0, 2, 5, 4, 1): (3, 0, 2, 5, 4, 1),\n",
+ " (3, 0, 4, 1, 2, 5): (3, 0, 4, 1, 2, 5),\n",
+ " (3, 0, 4, 1, 5, 2): (3, 0, 4, 1, 5, 2),\n",
+ " (3, 0, 4, 2, 1, 5): (3, 0, 4, 2, 1, 5),\n",
+ " (3, 0, 4, 2, 5, 1): (3, 0, 4, 2, 5, 1),\n",
+ " (3, 0, 4, 5, 1, 2): (3, 0, 4, 5, 1, 2),\n",
+ " (3, 0, 4, 5, 2, 1): (3, 0, 4, 5, 2, 1),\n",
+ " (3, 0, 5, 1, 2, 4): (3, 0, 5, 1, 2, 4),\n",
+ " (3, 0, 5, 1, 4, 2): (3, 0, 5, 1, 4, 2),\n",
+ " (3, 0, 5, 2, 1, 4): (3, 0, 5, 2, 1, 4),\n",
+ " (3, 0, 5, 2, 4, 1): (3, 0, 5, 2, 4, 1),\n",
+ " (3, 0, 5, 4, 1, 2): (3, 0, 5, 4, 1, 2),\n",
+ " (3, 0, 5, 4, 2, 1): (3, 0, 5, 4, 2, 1),\n",
+ " (3, 1, 0, 2, 4, 5): (3, 1, 0, 2, 4, 5),\n",
+ " (3, 1, 0, 2, 5, 4): (3, 1, 0, 2, 5, 4),\n",
+ " (3, 1, 0, 4, 2, 5): (3, 1, 0, 4, 2, 5),\n",
+ " (3, 1, 0, 4, 5, 2): (3, 1, 0, 4, 5, 2),\n",
+ " (3, 1, 0, 5, 2, 4): (3, 1, 0, 5, 2, 4),\n",
+ " (3, 1, 0, 5, 4, 2): (3, 1, 0, 5, 4, 2),\n",
+ " (3, 1, 2, 0, 4, 5): (3, 1, 2, 0, 4, 5),\n",
+ " (3, 1, 2, 0, 5, 4): (3, 1, 2, 0, 5, 4),\n",
+ " (3, 1, 2, 4, 0, 5): (3, 1, 2, 4, 0, 5),\n",
+ " (3, 1, 2, 4, 5, 0): (3, 1, 2, 4, 5, 0),\n",
+ " (3, 1, 2, 5, 0, 4): (3, 1, 2, 5, 0, 4),\n",
+ " (3, 1, 2, 5, 4, 0): (3, 1, 2, 5, 4, 0),\n",
+ " (3, 1, 4, 0, 2, 5): (3, 1, 4, 0, 2, 5),\n",
+ " (3, 1, 4, 0, 5, 2): (3, 1, 4, 0, 5, 2),\n",
+ " (3, 1, 4, 2, 0, 5): (3, 1, 4, 2, 0, 5),\n",
+ " (3, 1, 4, 2, 5, 0): (3, 1, 4, 2, 5, 0),\n",
+ " (3, 1, 4, 5, 0, 2): (3, 1, 4, 5, 0, 2),\n",
+ " (3, 1, 4, 5, 2, 0): (3, 1, 4, 5, 2, 0),\n",
+ " (3, 1, 5, 0, 2, 4): (3, 1, 5, 0, 2, 4),\n",
+ " (3, 1, 5, 0, 4, 2): (3, 1, 5, 0, 4, 2),\n",
+ " (3, 1, 5, 2, 0, 4): (3, 1, 5, 2, 0, 4),\n",
+ " (3, 1, 5, 2, 4, 0): (3, 1, 5, 2, 4, 0),\n",
+ " (3, 1, 5, 4, 0, 2): (3, 1, 5, 4, 0, 2),\n",
+ " (3, 1, 5, 4, 2, 0): (3, 1, 5, 4, 2, 0),\n",
+ " (3, 2, 0, 1, 4, 5): (3, 2, 0, 1, 4, 5),\n",
+ " (3, 2, 0, 1, 5, 4): (3, 2, 0, 1, 5, 4),\n",
+ " (3, 2, 0, 4, 1, 5): (3, 2, 0, 4, 1, 5),\n",
+ " (3, 2, 0, 4, 5, 1): (3, 2, 0, 4, 5, 1),\n",
+ " (3, 2, 0, 5, 1, 4): (3, 2, 0, 5, 1, 4),\n",
+ " (3, 2, 0, 5, 4, 1): (3, 2, 0, 5, 4, 1),\n",
+ " (3, 2, 1, 0, 4, 5): (3, 2, 1, 0, 4, 5),\n",
+ " (3, 2, 1, 0, 5, 4): (3, 2, 1, 0, 5, 4),\n",
+ " (3, 2, 1, 4, 0, 5): (3, 2, 1, 4, 0, 5),\n",
+ " (3, 2, 1, 4, 5, 0): (3, 2, 1, 4, 5, 0),\n",
+ " (3, 2, 1, 5, 0, 4): (3, 2, 1, 5, 0, 4),\n",
+ " (3, 2, 1, 5, 4, 0): (3, 2, 1, 5, 4, 0),\n",
+ " (3, 2, 4, 0, 1, 5): (3, 2, 4, 0, 1, 5),\n",
+ " (3, 2, 4, 0, 5, 1): (3, 2, 4, 0, 5, 1),\n",
+ " (3, 2, 4, 1, 0, 5): (3, 2, 4, 1, 0, 5),\n",
+ " (3, 2, 4, 1, 5, 0): (3, 2, 4, 1, 5, 0),\n",
+ " (3, 2, 4, 5, 0, 1): (3, 2, 4, 5, 0, 1),\n",
+ " (3, 2, 4, 5, 1, 0): (3, 2, 4, 5, 1, 0),\n",
+ " (3, 2, 5, 0, 1, 4): (3, 2, 5, 0, 1, 4),\n",
+ " (3, 2, 5, 0, 4, 1): (3, 2, 5, 0, 4, 1),\n",
+ " (3, 2, 5, 1, 0, 4): (3, 2, 5, 1, 0, 4),\n",
+ " (3, 2, 5, 1, 4, 0): (3, 2, 5, 1, 4, 0),\n",
+ " (3, 2, 5, 4, 0, 1): (3, 2, 5, 4, 0, 1),\n",
+ " (3, 2, 5, 4, 1, 0): (3, 2, 5, 4, 1, 0),\n",
+ " (3, 4, 0, 1, 2, 5): (3, 4, 0, 1, 2, 5),\n",
+ " (3, 4, 0, 1, 5, 2): (3, 4, 0, 1, 5, 2),\n",
+ " (3, 4, 0, 2, 1, 5): (3, 4, 0, 2, 1, 5),\n",
+ " (3, 4, 0, 2, 5, 1): (3, 4, 0, 2, 5, 1),\n",
+ " (3, 4, 0, 5, 1, 2): (3, 4, 0, 5, 1, 2),\n",
+ " (3, 4, 0, 5, 2, 1): (3, 4, 0, 5, 2, 1),\n",
+ " (3, 4, 1, 0, 2, 5): (3, 4, 1, 0, 2, 5),\n",
+ " (3, 4, 1, 0, 5, 2): (3, 4, 1, 0, 5, 2),\n",
+ " (3, 4, 1, 2, 0, 5): (3, 4, 1, 2, 0, 5),\n",
+ " (3, 4, 1, 2, 5, 0): (3, 4, 1, 2, 5, 0),\n",
+ " (3, 4, 1, 5, 0, 2): (3, 4, 1, 5, 0, 2),\n",
+ " (3, 4, 1, 5, 2, 0): (3, 4, 1, 5, 2, 0),\n",
+ " (3, 4, 2, 0, 1, 5): (3, 4, 2, 0, 1, 5),\n",
+ " (3, 4, 2, 0, 5, 1): (3, 4, 2, 0, 5, 1),\n",
+ " (3, 4, 2, 1, 0, 5): (3, 4, 2, 1, 0, 5),\n",
+ " (3, 4, 2, 1, 5, 0): (3, 4, 2, 1, 5, 0),\n",
+ " (3, 4, 2, 5, 0, 1): (3, 4, 2, 5, 0, 1),\n",
+ " (3, 4, 2, 5, 1, 0): (3, 4, 2, 5, 1, 0),\n",
+ " (3, 4, 5, 0, 1, 2): (3, 4, 5, 0, 1, 2),\n",
+ " (3, 4, 5, 0, 2, 1): (3, 4, 5, 0, 2, 1),\n",
+ " (3, 4, 5, 1, 0, 2): (3, 4, 5, 1, 0, 2),\n",
+ " (3, 4, 5, 1, 2, 0): (3, 4, 5, 1, 2, 0),\n",
+ " (3, 4, 5, 2, 0, 1): (3, 4, 5, 2, 0, 1),\n",
+ " (3, 4, 5, 2, 1, 0): (3, 4, 5, 2, 1, 0),\n",
+ " (3, 5, 0, 1, 2, 4): (3, 5, 0, 1, 2, 4),\n",
+ " (3, 5, 0, 1, 4, 2): (3, 5, 0, 1, 4, 2),\n",
+ " (3, 5, 0, 2, 1, 4): (3, 5, 0, 2, 1, 4),\n",
+ " (3, 5, 0, 2, 4, 1): (3, 5, 0, 2, 4, 1),\n",
+ " (3, 5, 0, 4, 1, 2): (3, 5, 0, 4, 1, 2),\n",
+ " (3, 5, 0, 4, 2, 1): (3, 5, 0, 4, 2, 1),\n",
+ " (3, 5, 1, 0, 2, 4): (3, 5, 1, 0, 2, 4),\n",
+ " (3, 5, 1, 0, 4, 2): (3, 5, 1, 0, 4, 2),\n",
+ " (3, 5, 1, 2, 0, 4): (3, 5, 1, 2, 0, 4),\n",
+ " (3, 5, 1, 2, 4, 0): (3, 5, 1, 2, 4, 0),\n",
+ " (3, 5, 1, 4, 0, 2): (3, 5, 1, 4, 0, 2),\n",
+ " (3, 5, 1, 4, 2, 0): (3, 5, 1, 4, 2, 0),\n",
+ " (3, 5, 2, 0, 1, 4): (3, 5, 2, 0, 1, 4),\n",
+ " (3, 5, 2, 0, 4, 1): (3, 5, 2, 0, 4, 1),\n",
+ " (3, 5, 2, 1, 0, 4): (3, 5, 2, 1, 0, 4),\n",
+ " (3, 5, 2, 1, 4, 0): (3, 5, 2, 1, 4, 0),\n",
+ " (3, 5, 2, 4, 0, 1): (3, 5, 2, 4, 0, 1),\n",
+ " (3, 5, 2, 4, 1, 0): (3, 5, 2, 4, 1, 0),\n",
+ " (3, 5, 4, 0, 1, 2): (3, 5, 4, 0, 1, 2),\n",
+ " (3, 5, 4, 0, 2, 1): (3, 5, 4, 0, 2, 1),\n",
+ " (3, 5, 4, 1, 0, 2): (3, 5, 4, 1, 0, 2),\n",
+ " (3, 5, 4, 1, 2, 0): (3, 5, 4, 1, 2, 0),\n",
+ " (3, 5, 4, 2, 0, 1): (3, 5, 4, 2, 0, 1),\n",
+ " (3, 5, 4, 2, 1, 0): (3, 5, 4, 2, 1, 0),\n",
+ " (4, 0, 1, 2, 3, 5): (4, 0, 1, 2, 3, 5),\n",
+ " (4, 0, 1, 2, 5, 3): (4, 0, 1, 2, 5, 3),\n",
+ " (4, 0, 1, 3, 2, 5): (4, 0, 1, 3, 2, 5),\n",
+ " (4, 0, 1, 3, 5, 2): (4, 0, 1, 3, 5, 2),\n",
+ " (4, 0, 1, 5, 2, 3): (4, 0, 1, 5, 2, 3),\n",
+ " (4, 0, 1, 5, 3, 2): (4, 0, 1, 5, 3, 2),\n",
+ " (4, 0, 2, 1, 3, 5): (4, 0, 2, 1, 3, 5),\n",
+ " (4, 0, 2, 1, 5, 3): (4, 0, 2, 1, 5, 3),\n",
+ " (4, 0, 2, 3, 1, 5): (4, 0, 2, 3, 1, 5),\n",
+ " (4, 0, 2, 3, 5, 1): (4, 0, 2, 3, 5, 1),\n",
+ " (4, 0, 2, 5, 1, 3): (4, 0, 2, 5, 1, 3),\n",
+ " (4, 0, 2, 5, 3, 1): (4, 0, 2, 5, 3, 1),\n",
+ " (4, 0, 3, 1, 2, 5): (4, 0, 3, 1, 2, 5),\n",
+ " (4, 0, 3, 1, 5, 2): (4, 0, 3, 1, 5, 2),\n",
+ " (4, 0, 3, 2, 1, 5): (4, 0, 3, 2, 1, 5),\n",
+ " (4, 0, 3, 2, 5, 1): (4, 0, 3, 2, 5, 1),\n",
+ " (4, 0, 3, 5, 1, 2): (4, 0, 3, 5, 1, 2),\n",
+ " (4, 0, 3, 5, 2, 1): (4, 0, 3, 5, 2, 1),\n",
+ " (4, 0, 5, 1, 2, 3): (4, 0, 5, 1, 2, 3),\n",
+ " (4, 0, 5, 1, 3, 2): (4, 0, 5, 1, 3, 2),\n",
+ " (4, 0, 5, 2, 1, 3): (4, 0, 5, 2, 1, 3),\n",
+ " (4, 0, 5, 2, 3, 1): (4, 0, 5, 2, 3, 1),\n",
+ " (4, 0, 5, 3, 1, 2): (4, 0, 5, 3, 1, 2),\n",
+ " (4, 0, 5, 3, 2, 1): (4, 0, 5, 3, 2, 1),\n",
+ " (4, 1, 0, 2, 3, 5): (4, 1, 0, 2, 3, 5),\n",
+ " (4, 1, 0, 2, 5, 3): (4, 1, 0, 2, 5, 3),\n",
+ " (4, 1, 0, 3, 2, 5): (4, 1, 0, 3, 2, 5),\n",
+ " (4, 1, 0, 3, 5, 2): (4, 1, 0, 3, 5, 2),\n",
+ " (4, 1, 0, 5, 2, 3): (4, 1, 0, 5, 2, 3),\n",
+ " (4, 1, 0, 5, 3, 2): (4, 1, 0, 5, 3, 2),\n",
+ " (4, 1, 2, 0, 3, 5): (4, 1, 2, 0, 3, 5),\n",
+ " (4, 1, 2, 0, 5, 3): (4, 1, 2, 0, 5, 3),\n",
+ " (4, 1, 2, 3, 0, 5): (4, 1, 2, 3, 0, 5),\n",
+ " (4, 1, 2, 3, 5, 0): (4, 1, 2, 3, 5, 0),\n",
+ " (4, 1, 2, 5, 0, 3): (4, 1, 2, 5, 0, 3),\n",
+ " (4, 1, 2, 5, 3, 0): (4, 1, 2, 5, 3, 0),\n",
+ " (4, 1, 3, 0, 2, 5): (4, 1, 3, 0, 2, 5),\n",
+ " (4, 1, 3, 0, 5, 2): (4, 1, 3, 0, 5, 2),\n",
+ " (4, 1, 3, 2, 0, 5): (4, 1, 3, 2, 0, 5),\n",
+ " (4, 1, 3, 2, 5, 0): (4, 1, 3, 2, 5, 0),\n",
+ " (4, 1, 3, 5, 0, 2): (4, 1, 3, 5, 0, 2),\n",
+ " (4, 1, 3, 5, 2, 0): (4, 1, 3, 5, 2, 0),\n",
+ " (4, 1, 5, 0, 2, 3): (4, 1, 5, 0, 2, 3),\n",
+ " (4, 1, 5, 0, 3, 2): (4, 1, 5, 0, 3, 2),\n",
+ " (4, 1, 5, 2, 0, 3): (4, 1, 5, 2, 0, 3),\n",
+ " (4, 1, 5, 2, 3, 0): (4, 1, 5, 2, 3, 0),\n",
+ " (4, 1, 5, 3, 0, 2): (4, 1, 5, 3, 0, 2),\n",
+ " (4, 1, 5, 3, 2, 0): (4, 1, 5, 3, 2, 0),\n",
+ " (4, 2, 0, 1, 3, 5): (4, 2, 0, 1, 3, 5),\n",
+ " (4, 2, 0, 1, 5, 3): (4, 2, 0, 1, 5, 3),\n",
+ " (4, 2, 0, 3, 1, 5): (4, 2, 0, 3, 1, 5),\n",
+ " (4, 2, 0, 3, 5, 1): (4, 2, 0, 3, 5, 1),\n",
+ " (4, 2, 0, 5, 1, 3): (4, 2, 0, 5, 1, 3),\n",
+ " (4, 2, 0, 5, 3, 1): (4, 2, 0, 5, 3, 1),\n",
+ " (4, 2, 1, 0, 3, 5): (4, 2, 1, 0, 3, 5),\n",
+ " (4, 2, 1, 0, 5, 3): (4, 2, 1, 0, 5, 3),\n",
+ " (4, 2, 1, 3, 0, 5): (4, 2, 1, 3, 0, 5),\n",
+ " (4, 2, 1, 3, 5, 0): (4, 2, 1, 3, 5, 0),\n",
+ " (4, 2, 1, 5, 0, 3): (4, 2, 1, 5, 0, 3),\n",
+ " (4, 2, 1, 5, 3, 0): (4, 2, 1, 5, 3, 0),\n",
+ " (4, 2, 3, 0, 1, 5): (4, 2, 3, 0, 1, 5),\n",
+ " (4, 2, 3, 0, 5, 1): (4, 2, 3, 0, 5, 1),\n",
+ " (4, 2, 3, 1, 0, 5): (4, 2, 3, 1, 0, 5),\n",
+ " (4, 2, 3, 1, 5, 0): (4, 2, 3, 1, 5, 0),\n",
+ " (4, 2, 3, 5, 0, 1): (4, 2, 3, 5, 0, 1),\n",
+ " (4, 2, 3, 5, 1, 0): (4, 2, 3, 5, 1, 0),\n",
+ " (4, 2, 5, 0, 1, 3): (4, 2, 5, 0, 1, 3),\n",
+ " (4, 2, 5, 0, 3, 1): (4, 2, 5, 0, 3, 1),\n",
+ " (4, 2, 5, 1, 0, 3): (4, 2, 5, 1, 0, 3),\n",
+ " (4, 2, 5, 1, 3, 0): (4, 2, 5, 1, 3, 0),\n",
+ " (4, 2, 5, 3, 0, 1): (4, 2, 5, 3, 0, 1),\n",
+ " (4, 2, 5, 3, 1, 0): (4, 2, 5, 3, 1, 0),\n",
+ " (4, 3, 0, 1, 2, 5): (4, 3, 0, 1, 2, 5),\n",
+ " (4, 3, 0, 1, 5, 2): (4, 3, 0, 1, 5, 2),\n",
+ " (4, 3, 0, 2, 1, 5): (4, 3, 0, 2, 1, 5),\n",
+ " (4, 3, 0, 2, 5, 1): (4, 3, 0, 2, 5, 1),\n",
+ " (4, 3, 0, 5, 1, 2): (4, 3, 0, 5, 1, 2),\n",
+ " (4, 3, 0, 5, 2, 1): (4, 3, 0, 5, 2, 1),\n",
+ " (4, 3, 1, 0, 2, 5): (4, 3, 1, 0, 2, 5),\n",
+ " (4, 3, 1, 0, 5, 2): (4, 3, 1, 0, 5, 2),\n",
+ " (4, 3, 1, 2, 0, 5): (4, 3, 1, 2, 0, 5),\n",
+ " (4, 3, 1, 2, 5, 0): (4, 3, 1, 2, 5, 0),\n",
+ " (4, 3, 1, 5, 0, 2): (4, 3, 1, 5, 0, 2),\n",
+ " (4, 3, 1, 5, 2, 0): (4, 3, 1, 5, 2, 0),\n",
+ " (4, 3, 2, 0, 1, 5): (4, 3, 2, 0, 1, 5),\n",
+ " (4, 3, 2, 0, 5, 1): (4, 3, 2, 0, 5, 1),\n",
+ " (4, 3, 2, 1, 0, 5): (4, 3, 2, 1, 0, 5),\n",
+ " (4, 3, 2, 1, 5, 0): (4, 3, 2, 1, 5, 0),\n",
+ " (4, 3, 2, 5, 0, 1): (4, 3, 2, 5, 0, 1),\n",
+ " (4, 3, 2, 5, 1, 0): (4, 3, 2, 5, 1, 0),\n",
+ " (4, 3, 5, 0, 1, 2): (4, 3, 5, 0, 1, 2),\n",
+ " (4, 3, 5, 0, 2, 1): (4, 3, 5, 0, 2, 1),\n",
+ " (4, 3, 5, 1, 0, 2): (4, 3, 5, 1, 0, 2),\n",
+ " (4, 3, 5, 1, 2, 0): (4, 3, 5, 1, 2, 0),\n",
+ " (4, 3, 5, 2, 0, 1): (4, 3, 5, 2, 0, 1),\n",
+ " (4, 3, 5, 2, 1, 0): (4, 3, 5, 2, 1, 0),\n",
+ " (4, 5, 0, 1, 2, 3): (4, 5, 0, 1, 2, 3),\n",
+ " (4, 5, 0, 1, 3, 2): (4, 5, 0, 1, 3, 2),\n",
+ " (4, 5, 0, 2, 1, 3): (4, 5, 0, 2, 1, 3),\n",
+ " (4, 5, 0, 2, 3, 1): (4, 5, 0, 2, 3, 1),\n",
+ " (4, 5, 0, 3, 1, 2): (4, 5, 0, 3, 1, 2),\n",
+ " (4, 5, 0, 3, 2, 1): (4, 5, 0, 3, 2, 1),\n",
+ " (4, 5, 1, 0, 2, 3): (4, 5, 1, 0, 2, 3),\n",
+ " (4, 5, 1, 0, 3, 2): (4, 5, 1, 0, 3, 2),\n",
+ " (4, 5, 1, 2, 0, 3): (4, 5, 1, 2, 0, 3),\n",
+ " (4, 5, 1, 2, 3, 0): (4, 5, 1, 2, 3, 0),\n",
+ " (4, 5, 1, 3, 0, 2): (4, 5, 1, 3, 0, 2),\n",
+ " (4, 5, 1, 3, 2, 0): (4, 5, 1, 3, 2, 0),\n",
+ " (4, 5, 2, 0, 1, 3): (4, 5, 2, 0, 1, 3),\n",
+ " (4, 5, 2, 0, 3, 1): (4, 5, 2, 0, 3, 1),\n",
+ " (4, 5, 2, 1, 0, 3): (4, 5, 2, 1, 0, 3),\n",
+ " (4, 5, 2, 1, 3, 0): (4, 5, 2, 1, 3, 0),\n",
+ " (4, 5, 2, 3, 0, 1): (4, 5, 2, 3, 0, 1),\n",
+ " (4, 5, 2, 3, 1, 0): (4, 5, 2, 3, 1, 0),\n",
+ " (4, 5, 3, 0, 1, 2): (4, 5, 3, 0, 1, 2),\n",
+ " (4, 5, 3, 0, 2, 1): (4, 5, 3, 0, 2, 1),\n",
+ " (4, 5, 3, 1, 0, 2): (4, 5, 3, 1, 0, 2),\n",
+ " (4, 5, 3, 1, 2, 0): (4, 5, 3, 1, 2, 0),\n",
+ " (4, 5, 3, 2, 0, 1): (4, 5, 3, 2, 0, 1),\n",
+ " (4, 5, 3, 2, 1, 0): (4, 5, 3, 2, 1, 0),\n",
+ " (5, 0, 1, 2, 3, 4): (5, 0, 1, 2, 3, 4),\n",
+ " (5, 0, 1, 2, 4, 3): (5, 0, 1, 2, 4, 3),\n",
+ " (5, 0, 1, 3, 2, 4): (5, 0, 1, 3, 2, 4),\n",
+ " (5, 0, 1, 3, 4, 2): (5, 0, 1, 3, 4, 2),\n",
+ " (5, 0, 1, 4, 2, 3): (5, 0, 1, 4, 2, 3),\n",
+ " (5, 0, 1, 4, 3, 2): (5, 0, 1, 4, 3, 2),\n",
+ " (5, 0, 2, 1, 3, 4): (5, 0, 2, 1, 3, 4),\n",
+ " (5, 0, 2, 1, 4, 3): (5, 0, 2, 1, 4, 3),\n",
+ " (5, 0, 2, 3, 1, 4): (5, 0, 2, 3, 1, 4),\n",
+ " (5, 0, 2, 3, 4, 1): (5, 0, 2, 3, 4, 1),\n",
+ " (5, 0, 2, 4, 1, 3): (5, 0, 2, 4, 1, 3),\n",
+ " (5, 0, 2, 4, 3, 1): (5, 0, 2, 4, 3, 1),\n",
+ " (5, 0, 3, 1, 2, 4): (5, 0, 3, 1, 2, 4),\n",
+ " (5, 0, 3, 1, 4, 2): (5, 0, 3, 1, 4, 2),\n",
+ " (5, 0, 3, 2, 1, 4): (5, 0, 3, 2, 1, 4),\n",
+ " (5, 0, 3, 2, 4, 1): (5, 0, 3, 2, 4, 1),\n",
+ " (5, 0, 3, 4, 1, 2): (5, 0, 3, 4, 1, 2),\n",
+ " (5, 0, 3, 4, 2, 1): (5, 0, 3, 4, 2, 1),\n",
+ " (5, 0, 4, 1, 2, 3): (5, 0, 4, 1, 2, 3),\n",
+ " (5, 0, 4, 1, 3, 2): (5, 0, 4, 1, 3, 2),\n",
+ " (5, 0, 4, 2, 1, 3): (5, 0, 4, 2, 1, 3),\n",
+ " (5, 0, 4, 2, 3, 1): (5, 0, 4, 2, 3, 1),\n",
+ " (5, 0, 4, 3, 1, 2): (5, 0, 4, 3, 1, 2),\n",
+ " (5, 0, 4, 3, 2, 1): (5, 0, 4, 3, 2, 1),\n",
+ " (5, 1, 0, 2, 3, 4): (5, 1, 0, 2, 3, 4),\n",
+ " (5, 1, 0, 2, 4, 3): (5, 1, 0, 2, 4, 3),\n",
+ " (5, 1, 0, 3, 2, 4): (5, 1, 0, 3, 2, 4),\n",
+ " (5, 1, 0, 3, 4, 2): (5, 1, 0, 3, 4, 2),\n",
+ " (5, 1, 0, 4, 2, 3): (5, 1, 0, 4, 2, 3),\n",
+ " (5, 1, 0, 4, 3, 2): (5, 1, 0, 4, 3, 2),\n",
+ " (5, 1, 2, 0, 3, 4): (5, 1, 2, 0, 3, 4),\n",
+ " (5, 1, 2, 0, 4, 3): (5, 1, 2, 0, 4, 3),\n",
+ " (5, 1, 2, 3, 0, 4): (5, 1, 2, 3, 0, 4),\n",
+ " (5, 1, 2, 3, 4, 0): (5, 1, 2, 3, 4, 0),\n",
+ " (5, 1, 2, 4, 0, 3): (5, 1, 2, 4, 0, 3),\n",
+ " (5, 1, 2, 4, 3, 0): (5, 1, 2, 4, 3, 0),\n",
+ " (5, 1, 3, 0, 2, 4): (5, 1, 3, 0, 2, 4),\n",
+ " (5, 1, 3, 0, 4, 2): (5, 1, 3, 0, 4, 2),\n",
+ " (5, 1, 3, 2, 0, 4): (5, 1, 3, 2, 0, 4),\n",
+ " (5, 1, 3, 2, 4, 0): (5, 1, 3, 2, 4, 0),\n",
+ " (5, 1, 3, 4, 0, 2): (5, 1, 3, 4, 0, 2),\n",
+ " (5, 1, 3, 4, 2, 0): (5, 1, 3, 4, 2, 0),\n",
+ " (5, 1, 4, 0, 2, 3): (5, 1, 4, 0, 2, 3),\n",
+ " (5, 1, 4, 0, 3, 2): (5, 1, 4, 0, 3, 2),\n",
+ " (5, 1, 4, 2, 0, 3): (5, 1, 4, 2, 0, 3),\n",
+ " (5, 1, 4, 2, 3, 0): (5, 1, 4, 2, 3, 0),\n",
+ " (5, 1, 4, 3, 0, 2): (5, 1, 4, 3, 0, 2),\n",
+ " (5, 1, 4, 3, 2, 0): (5, 1, 4, 3, 2, 0),\n",
+ " (5, 2, 0, 1, 3, 4): (5, 2, 0, 1, 3, 4),\n",
+ " (5, 2, 0, 1, 4, 3): (5, 2, 0, 1, 4, 3),\n",
+ " (5, 2, 0, 3, 1, 4): (5, 2, 0, 3, 1, 4),\n",
+ " (5, 2, 0, 3, 4, 1): (5, 2, 0, 3, 4, 1),\n",
+ " (5, 2, 0, 4, 1, 3): (5, 2, 0, 4, 1, 3),\n",
+ " (5, 2, 0, 4, 3, 1): (5, 2, 0, 4, 3, 1),\n",
+ " (5, 2, 1, 0, 3, 4): (5, 2, 1, 0, 3, 4),\n",
+ " (5, 2, 1, 0, 4, 3): (5, 2, 1, 0, 4, 3),\n",
+ " (5, 2, 1, 3, 0, 4): (5, 2, 1, 3, 0, 4),\n",
+ " (5, 2, 1, 3, 4, 0): (5, 2, 1, 3, 4, 0),\n",
+ " (5, 2, 1, 4, 0, 3): (5, 2, 1, 4, 0, 3),\n",
+ " (5, 2, 1, 4, 3, 0): (5, 2, 1, 4, 3, 0),\n",
+ " (5, 2, 3, 0, 1, 4): (5, 2, 3, 0, 1, 4),\n",
+ " (5, 2, 3, 0, 4, 1): (5, 2, 3, 0, 4, 1),\n",
+ " (5, 2, 3, 1, 0, 4): (5, 2, 3, 1, 0, 4),\n",
+ " (5, 2, 3, 1, 4, 0): (5, 2, 3, 1, 4, 0),\n",
+ " (5, 2, 3, 4, 0, 1): (5, 2, 3, 4, 0, 1),\n",
+ " (5, 2, 3, 4, 1, 0): (5, 2, 3, 4, 1, 0),\n",
+ " (5, 2, 4, 0, 1, 3): (5, 2, 4, 0, 1, 3),\n",
+ " (5, 2, 4, 0, 3, 1): (5, 2, 4, 0, 3, 1),\n",
+ " (5, 2, 4, 1, 0, 3): (5, 2, 4, 1, 0, 3),\n",
+ " (5, 2, 4, 1, 3, 0): (5, 2, 4, 1, 3, 0),\n",
+ " (5, 2, 4, 3, 0, 1): (5, 2, 4, 3, 0, 1),\n",
+ " (5, 2, 4, 3, 1, 0): (5, 2, 4, 3, 1, 0),\n",
+ " (5, 3, 0, 1, 2, 4): (5, 3, 0, 1, 2, 4),\n",
+ " (5, 3, 0, 1, 4, 2): (5, 3, 0, 1, 4, 2),\n",
+ " (5, 3, 0, 2, 1, 4): (5, 3, 0, 2, 1, 4),\n",
+ " (5, 3, 0, 2, 4, 1): (5, 3, 0, 2, 4, 1),\n",
+ " (5, 3, 0, 4, 1, 2): (5, 3, 0, 4, 1, 2),\n",
+ " (5, 3, 0, 4, 2, 1): (5, 3, 0, 4, 2, 1),\n",
+ " (5, 3, 1, 0, 2, 4): (5, 3, 1, 0, 2, 4),\n",
+ " (5, 3, 1, 0, 4, 2): (5, 3, 1, 0, 4, 2),\n",
+ " (5, 3, 1, 2, 0, 4): (5, 3, 1, 2, 0, 4),\n",
+ " (5, 3, 1, 2, 4, 0): (5, 3, 1, 2, 4, 0),\n",
+ " (5, 3, 1, 4, 0, 2): (5, 3, 1, 4, 0, 2),\n",
+ " (5, 3, 1, 4, 2, 0): (5, 3, 1, 4, 2, 0),\n",
+ " (5, 3, 2, 0, 1, 4): (5, 3, 2, 0, 1, 4),\n",
+ " (5, 3, 2, 0, 4, 1): (5, 3, 2, 0, 4, 1),\n",
+ " (5, 3, 2, 1, 0, 4): (5, 3, 2, 1, 0, 4),\n",
+ " (5, 3, 2, 1, 4, 0): (5, 3, 2, 1, 4, 0),\n",
+ " (5, 3, 2, 4, 0, 1): (5, 3, 2, 4, 0, 1),\n",
+ " (5, 3, 2, 4, 1, 0): (5, 3, 2, 4, 1, 0),\n",
+ " (5, 3, 4, 0, 1, 2): (5, 3, 4, 0, 1, 2),\n",
+ " (5, 3, 4, 0, 2, 1): (5, 3, 4, 0, 2, 1),\n",
+ " (5, 3, 4, 1, 0, 2): (5, 3, 4, 1, 0, 2),\n",
+ " (5, 3, 4, 1, 2, 0): (5, 3, 4, 1, 2, 0),\n",
+ " (5, 3, 4, 2, 0, 1): (5, 3, 4, 2, 0, 1),\n",
+ " (5, 3, 4, 2, 1, 0): (5, 3, 4, 2, 1, 0),\n",
+ " (5, 4, 0, 1, 2, 3): (5, 4, 0, 1, 2, 3),\n",
+ " (5, 4, 0, 1, 3, 2): (5, 4, 0, 1, 3, 2),\n",
+ " (5, 4, 0, 2, 1, 3): (5, 4, 0, 2, 1, 3),\n",
+ " (5, 4, 0, 2, 3, 1): (5, 4, 0, 2, 3, 1),\n",
+ " (5, 4, 0, 3, 1, 2): (5, 4, 0, 3, 1, 2),\n",
+ " (5, 4, 0, 3, 2, 1): (5, 4, 0, 3, 2, 1),\n",
+ " (5, 4, 1, 0, 2, 3): (5, 4, 1, 0, 2, 3),\n",
+ " (5, 4, 1, 0, 3, 2): (5, 4, 1, 0, 3, 2),\n",
+ " (5, 4, 1, 2, 0, 3): (5, 4, 1, 2, 0, 3),\n",
+ " (5, 4, 1, 2, 3, 0): (5, 4, 1, 2, 3, 0),\n",
+ " (5, 4, 1, 3, 0, 2): (5, 4, 1, 3, 0, 2),\n",
+ " (5, 4, 1, 3, 2, 0): (5, 4, 1, 3, 2, 0),\n",
+ " (5, 4, 2, 0, 1, 3): (5, 4, 2, 0, 1, 3),\n",
+ " (5, 4, 2, 0, 3, 1): (5, 4, 2, 0, 3, 1),\n",
+ " (5, 4, 2, 1, 0, 3): (5, 4, 2, 1, 0, 3),\n",
+ " (5, 4, 2, 1, 3, 0): (5, 4, 2, 1, 3, 0),\n",
+ " (5, 4, 2, 3, 0, 1): (5, 4, 2, 3, 0, 1),\n",
+ " (5, 4, 2, 3, 1, 0): (5, 4, 2, 3, 1, 0),\n",
+ " (5, 4, 3, 0, 1, 2): (5, 4, 3, 0, 1, 2),\n",
+ " (5, 4, 3, 0, 2, 1): (5, 4, 3, 0, 2, 1),\n",
+ " (5, 4, 3, 1, 0, 2): (5, 4, 3, 1, 0, 2),\n",
+ " (5, 4, 3, 1, 2, 0): (5, 4, 3, 1, 2, 0),\n",
+ " (5, 4, 3, 2, 0, 1): (5, 4, 3, 2, 0, 1),\n",
+ " (5, 4, 3, 2, 1, 0): (5, 4, 3, 2, 1, 0)}"
+ ]
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "transpositions6 = {t: t for t in set(itertools.permutations(list(range(6))))}\n",
+ "transpositions6"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(((2, 4, 3, 5, 0, 1), (1, 2), <AmscoFillStyle.reverse_each_row: 3>),\n",
+ " -1437.9908206760847)"
+ ]
+ },
+ "execution_count": 7,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "key_b, score = amsco_break(c7b, translist=transpositions6)\n",
+ "key_b, score"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
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+ " [AmscoSlice(index=390, start=585, end=587),\n",
+ " AmscoSlice(index=391, start=587, end=588),\n",
+ " AmscoSlice(index=392, start=588, end=590),\n",
+ " AmscoSlice(index=393, start=590, end=591),\n",
+ " AmscoSlice(index=394, start=591, end=593),\n",
+ " AmscoSlice(index=395, start=593, end=594)],\n",
+ " [AmscoSlice(index=396, start=594, end=595),\n",
+ " AmscoSlice(index=397, start=595, end=597),\n",
+ " AmscoSlice(index=398, start=597, end=598),\n",
+ " AmscoSlice(index=399, start=598, end=600),\n",
+ " AmscoSlice(index=400, start=600, end=601),\n",
+ " AmscoSlice(index=401, start=601, end=603)],\n",
+ " [AmscoSlice(index=402, start=603, end=605),\n",
+ " AmscoSlice(index=403, start=605, end=606),\n",
+ " AmscoSlice(index=404, start=606, end=608),\n",
+ " AmscoSlice(index=405, start=608, end=609),\n",
+ " AmscoSlice(index=406, start=609, end=611),\n",
+ " AmscoSlice(index=407, start=611, end=612)]]"
+ ]
+ },
+ "execution_count": 8,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "amsco_transposition_positions(c7b, 'abcdef', \n",
+ " fillpattern=(1, 2),\n",
+ " fillstyle=AmscoFillStyle.reverse_each_row)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false,
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "['stager',\n",
+ " 'staler',\n",
+ " 'stalin',\n",
+ " 'stamen',\n",
+ " 'sucker',\n",
+ " 'tucker',\n",
+ " 'twangs',\n",
+ " 'twerps',\n",
+ " 'twirls',\n",
+ " 'staffer',\n",
+ " 'stagers',\n",
+ " 'stagger',\n",
+ " 'stalins',\n",
+ " 'stamens',\n",
+ " 'stamina',\n",
+ " 'stammer',\n",
+ " 'statler',\n",
+ " 'suckers',\n",
+ " 'sudsier',\n",
+ " 'swagger',\n",
+ " 'tubbier',\n",
+ " 'tycoons',\n",
+ " 'loadable',\n",
+ " 'noblemen',\n",
+ " 'rubidium',\n",
+ " 'staffers',\n",
+ " 'staggers',\n",
+ " 'staminas',\n",
+ " 'stammers',\n",
+ " 'standard',\n",
+ " 'steelier',\n",
+ " 'submerse',\n",
+ " 'swaggers',\n",
+ " 'tubbiest',\n",
+ " 'tuitions',\n",
+ " 'twenties',\n",
+ " 'stalemate',\n",
+ " 'staleness',\n",
+ " 'stalinist',\n",
+ " 'stammerer',\n",
+ " 'standards',\n",
+ " 'submerses',\n",
+ " 'swaggerer',\n",
+ " 'stalemates',\n",
+ " 'stalenesss',\n",
+ " 'stammerers',\n",
+ " 'stepsister',\n",
+ " 'succulence',\n",
+ " 'statistical',\n",
+ " 'stepsisters',\n",
+ " 'succulences',\n",
+ " 'statistician',\n",
+ " 'statisticians']"
+ ]
+ },
+ "execution_count": 9,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "transpositions[key_b[0]]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "security protocol solitaire comrades under a decree from moscow we are confined to using a new high security stream cipher stolen from the americans the solitaire cipher all files classified top secret and above are to be archived using this method this new field cipher has been tested and proven to match the security of the fi alka machine without the overhead of the technology you will need only a deck of cards to implement the cipher the key to be used will be provided and distributed on a one time pad and you must destroy the key as you use it the key consists of a random shuffle of a full deck of cards together with two distinguishable jokers agents should be freely able to carry this equipment without arousing suspicion\n"
+ ]
+ }
+ ],
+ "source": [
+ "print(' '.join(segment(sanitise(\n",
+ " amsco_transposition_decipher(sanitise(c7b), \n",
+ " keyword=transpositions[key_b[0]][0], \n",
+ " fillpattern=key_b[1],\n",
+ " fillstyle=key_b[2])\n",
+ " ))))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.4.3"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
projects / cipher-tools.git / commitdiff