Rhyme Scheme Enumeration

5/22/19

One aspect of poetry is rhyming. A rhyme scheme is how rhyming is done within a poem. For example, AAAA, would be a four line poem with every line rhyming. The poem ABAB, would be a four line poem, but with the first and third line rhyming, and the second and fourth line rhyming, and the rhymes A and B are different. A famous five line rhyming poem is AABBA, called a limerick. Here is an AABB, my

Freeverse 83

the moon hangs in the midnight sky A
a lemon drop or cyclops eye A
among uncountable stars the night B
is black between these bits of light B

It is important to note that these type of rhyme schemes only consider a very simple way of rhyming! In any case, the question is, how many possible rhyme schemes exist for a n line poem?

It turns out numbers that are the answer to that question are called Bell numbers, and are sequence A0001110 in the On-Line Encyclopedia of Integer Sequences. Note that Bell(n) includes rhyme schemes in which rhymes are not used at all, for example, ABCD. If you want all lines to rhyme with at least one other line, these are sequence number A000296 in the OEIS. In any case, here is a table for Bell(n) from n = 1 to 10

nBell(n)
11
22
35
415
552
6203
7877
84,140
921,147
10115,975

For example, a 4 line poem has 15 possible rhyming structures.

But what is a general equation to calculate Bell(n)? Actually, there are a few. I will present the ones that I like the best.

Bell(n) = sum[S(n,k), k=0 to n]

where n is the nth row of the Bell number triangle or elements, and k is columns of the Bell number triangle or sets. The term S(n,k) is a Sterling number of the second kind. We can write

S(n,k) = (1/k!)*sum[(-1)i*nCr(k,i)*(k-i)n, i=0 to k]

Then we fix n, and make a sequence of these over k to get a row of the Bell number triangle

sequence( (1/k!)*sum[(-1)i*nCr(k,i)*(k-i)n, i=0 to k], k=0 to n)

For example, using n = 5 gives the sequence: 0, 1, 15, 25, 10, 1. Note that summing these gives Bell(5), or 52.

From Comtet (1974),

Bell(n) = ceiling((1/e)*sum[kn/m!, m=1 to n])

This is easier to work with because there is no infinite sum. There are also recurrence relations and integrals that give Bell(n), but I don't find these very satisfying.

Now, on to specifically listing out the rhyme schemes for n from 1 to 10.

n = 1

A

n = 2

AA, AB

n = 3

AAA, AAB, ABA, ABB, ABC

n = 4

AAAA, AAAB, AABA, AABB, AABC, ABAA, ABAB, ABAC, ABBA, ABBB, ABBC, ABCA, ABCB, ABCC, ABCD

n = 5

AAAAA, AAAAB, AAABA, AAABB, AAABC, AABAA, AABAB, AABAC, AABBA, AABBB, AABBC, AABCA, AABCB, AABCC, AABCD, ABAAA, ABAAB, ABAAC, ABABA, ABABB, ABABC, ABACA, ABACB, ABACC, ABACD, ABBAA, ABBAB, ABBAC, ABBBA, ABBBB, ABBBC, ABBCA, ABBCB, ABBCC, ABBCD, ABCAA, ABCAB, ABCAC, ABCAD, ABCBA, ABCBB, ABCBC, ABCBD, ABCCA, ABCCB, ABCCC, ABCCD, ABCDA, ABCDB, ABCDC, ABCDD, ABCDE

n = 6

AAAAAA, AAAAAB, AAAABA, AAAABB, AAAABC, AAABAA, AAABAB, AAABAC, AAABBA, AAABBB, AAABBC, AAABCA, AAABCB, AAABCC, AAABCD, AABAAA, AABAAB, AABAAC, AABABA, AABABB, AABABC, AABACA, AABACB, AABACC, AABACD, AABBAA, AABBAB, AABBAC, AABBBA, AABBBB, AABBBC, AABBCA, AABBCB, AABBCC, AABBCD, AABCAA, AABCAB, AABCAC, AABCAD, AABCBA, AABCBB, AABCBC, AABCBD, AABCCA, AABCCB, AABCCC, AABCCD, AABCDA, AABCDB, AABCDC, AABCDD, AABCDE, ABAAAA, ABAAAB, ABAAAC, ABAABA, ABAABB, ABAABC, ABAACA, ABAACB, ABAACC, ABAACD, ABABAA, ABABAB, ABABAC, ABABBA, ABABBB, ABABBC, ABABCA, ABABCB, ABABCC, ABABCD, ABACAA, ABACAB, ABACAC, ABACAD, ABACBA, ABACBB, ABACBC, ABACBD, ABACCA, ABACCB, ABACCC, ABACCD, ABACDA, ABACDB, ABACDC, ABACDD, ABACDE, ABBAAA, ABBAAB, ABBAAC, ABBABA, ABBABB, ABBABC, ABBACA, ABBACB, ABBACC, ABBACD, ABBBAA, ABBBAB, ABBBAC, ABBBBA, ABBBBB, ABBBBC, ABBBCA, ABBBCB, ABBBCC, ABBBCD, ABBCAA, ABBCAB, ABBCAC, ABBCAD, ABBCBA, ABBCBB, ABBCBC, ABBCBD, ABBCCA, ABBCCB, ABBCCC, ABBCCD, ABBCDA, ABBCDB, ABBCDC, ABBCDD, ABBCDE, ABCAAA, ABCAAB, ABCAAC, ABCAAD, ABCABA, ABCABB, ABCABC, ABCABD, ABCACA, ABCACB, ABCACC, ABCACD, ABCADA, ABCADB, ABCADC, ABCADD, ABCADE, ABCBAA, ABCBAB, ABCBAC, ABCBAD, ABCBBA, ABCBBB, ABCBBC, ABCBBD, ABCBCA, ABCBCB, ABCBCC, ABCBCD, ABCBDA, ABCBDB, ABCBDC, ABCBDD, ABCBDE, ABCCAA, ABCCAB, ABCCAC, ABCCAD, ABCCBA, ABCCBB, ABCCBC, ABCCBD, ABCCCA, ABCCCB, ABCCCC, ABCCCD, ABCCDA, ABCCDB, ABCCDC, ABCCDD, ABCCDE, ABCDAA, ABCDAB, ABCDAC, ABCDAD, ABCDAE, ABCDBA, ABCDBB, ABCDBC, ABCDBD, ABCDBE, ABCDCA, ABCDCB, ABCDCC, ABCDCD, ABCDCE, ABCDDA, ABCDDB, ABCDDC, ABCDDD, ABCDDE, ABCDEA, ABCDEB, ABCDEC, ABCDED, ABCDEE, ABCDEF

n = 7

AAAAAAA, AAAAAAB, AAAAABA, AAAAABB, AAAAABC, AAAABAA, AAAABAB, AAAABAC, AAAABBA, AAAABBB, AAAABBC, AAAABCA, AAAABCB, AAAABCC, AAAABCD, AAABAAA, AAABAAB, AAABAAC, AAABABA, AAABABB, AAABABC, AAABACA, AAABACB, AAABACC, AAABACD, AAABBAA, AAABBAB, AAABBAC, AAABBBA, AAABBBB, AAABBBC, AAABBCA, AAABBCB, AAABBCC, AAABBCD, AAABCAA, AAABCAB, AAABCAC, AAABCAD, AAABCBA, AAABCBB, AAABCBC, AAABCBD, AAABCCA, AAABCCB, AAABCCC, AAABCCD, AAABCDA, AAABCDB, AAABCDC, AAABCDD, AAABCDE, AABAAAA, AABAAAB, AABAAAC, AABAABA, AABAABB, AABAABC, AABAACA, AABAACB, AABAACC, AABAACD, AABABAA, AABABAB, AABABAC, AABABBA, AABABBB, AABABBC, AABABCA, AABABCB, AABABCC, AABABCD, AABACAA, AABACAB, AABACAC, AABACAD, AABACBA, AABACBB, AABACBC, AABACBD, AABACCA, AABACCB, AABACCC, AABACCD, AABACDA, AABACDB, AABACDC, AABACDD, AABACDE, AABBAAA, AABBAAB, AABBAAC, AABBABA, AABBABB, AABBABC, AABBACA, AABBACB, AABBACC, AABBACD, AABBBAA, AABBBAB, AABBBAC, AABBBBA, AABBBBB, AABBBBC, AABBBCA, AABBBCB, AABBBCC, AABBBCD, AABBCAA, AABBCAB, AABBCAC, AABBCAD, AABBCBA, AABBCBB, AABBCBC, AABBCBD, AABBCCA, AABBCCB, AABBCCC, AABBCCD, AABBCDA, AABBCDB, AABBCDC, AABBCDD, AABBCDE, AABCAAA, AABCAAB, AABCAAC, AABCAAD, AABCABA, AABCABB, AABCABC, AABCABD, AABCACA, AABCACB, AABCACC, AABCACD, AABCADA, AABCADB, AABCADC, AABCADD, AABCADE, AABCBAA, AABCBAB, AABCBAC, AABCBAD, AABCBBA, AABCBBB, AABCBBC, AABCBBD, AABCBCA, AABCBCB, AABCBCC, AABCBCD, AABCBDA, AABCBDB, AABCBDC, AABCBDD, AABCBDE, AABCCAA, AABCCAB, AABCCAC, AABCCAD, AABCCBA, AABCCBB, AABCCBC, AABCCBD, AABCCCA, AABCCCB, AABCCCC, AABCCCD, AABCCDA, AABCCDB, AABCCDC, AABCCDD, AABCCDE, AABCDAA, AABCDAB, AABCDAC, AABCDAD, AABCDAE, AABCDBA, AABCDBB, AABCDBC, AABCDBD, AABCDBE, AABCDCA, AABCDCB, AABCDCC, AABCDCD, AABCDCE, AABCDDA, AABCDDB, AABCDDC, AABCDDD, AABCDDE, AABCDEA, AABCDEB, AABCDEC, AABCDED, AABCDEE, AABCDEF, ABAAAAA, ABAAAAB, ABAAAAC, ABAAABA, ABAAABB, ABAAABC, ABAAACA, ABAAACB, ABAAACC, ABAAACD, ABAABAA, ABAABAB, ABAABAC, ABAABBA, ABAABBB, ABAABBC, ABAABCA, ABAABCB, ABAABCC, ABAABCD, ABAACAA, ABAACAB, ABAACAC, ABAACAD, ABAACBA, ABAACBB, ABAACBC, ABAACBD, ABAACCA, ABAACCB, ABAACCC, ABAACCD, ABAACDA, ABAACDB, ABAACDC, ABAACDD, ABAACDE, ABABAAA, ABABAAB, ABABAAC, ABABABA, ABABABB, ABABABC, ABABACA, ABABACB, ABABACC, ABABACD, ABABBAA, ABABBAB, ABABBAC, ABABBBA, ABABBBB, ABABBBC, ABABBCA, ABABBCB, ABABBCC, ABABBCD, ABABCAA, ABABCAB, ABABCAC, ABABCAD, ABABCBA, ABABCBB, ABABCBC, ABABCBD, ABABCCA, ABABCCB, ABABCCC, ABABCCD, ABABCDA, ABABCDB, ABABCDC, ABABCDD, ABABCDE, ABACAAA, ABACAAB, ABACAAC, ABACAAD, ABACABA, ABACABB, ABACABC, ABACABD, ABACACA, ABACACB, ABACACC, ABACACD, ABACADA, ABACADB, ABACADC, ABACADD, ABACADE, ABACBAA, ABACBAB, ABACBAC, ABACBAD, ABACBBA, ABACBBB, ABACBBC, ABACBBD, ABACBCA, ABACBCB, ABACBCC, ABACBCD, ABACBDA, ABACBDB, ABACBDC, ABACBDD, ABACBDE, ABACCAA, ABACCAB, ABACCAC, ABACCAD, ABACCBA, ABACCBB, ABACCBC, ABACCBD, ABACCCA, ABACCCB, ABACCCC, ABACCCD, ABACCDA, ABACCDB, ABACCDC, ABACCDD, ABACCDE, ABACDAA, ABACDAB, ABACDAC, ABACDAD, ABACDAE, ABACDBA, ABACDBB, ABACDBC, ABACDBD, ABACDBE, ABACDCA, ABACDCB, ABACDCC, ABACDCD, ABACDCE, ABACDDA, ABACDDB, ABACDDC, ABACDDD, ABACDDE, ABACDEA, ABACDEB, ABACDEC, ABACDED, ABACDEE, ABACDEF, ABBAAAA, ABBAAAB, ABBAAAC, ABBAABA, ABBAABB, ABBAABC, ABBAACA, ABBAACB, ABBAACC, ABBAACD, ABBABAA, ABBABAB, ABBABAC, ABBABBA, ABBABBB, ABBABBC, ABBABCA, ABBABCB, ABBABCC, ABBABCD, ABBACAA, ABBACAB, ABBACAC, ABBACAD, ABBACBA, ABBACBB, ABBACBC, ABBACBD, ABBACCA, ABBACCB, ABBACCC, ABBACCD, ABBACDA, ABBACDB, ABBACDC, ABBACDD, ABBACDE, ABBBAAA, ABBBAAB, ABBBAAC, ABBBABA, ABBBABB, ABBBABC, ABBBACA, ABBBACB, ABBBACC, ABBBACD, ABBBBAA, ABBBBAB, ABBBBAC, ABBBBBA, ABBBBBB, ABBBBBC, ABBBBCA, ABBBBCB, ABBBBCC, ABBBBCD, ABBBCAA, ABBBCAB, ABBBCAC, ABBBCAD, ABBBCBA, ABBBCBB, ABBBCBC, ABBBCBD, ABBBCCA, ABBBCCB, ABBBCCC, ABBBCCD, ABBBCDA, ABBBCDB, ABBBCDC, ABBBCDD, ABBBCDE, ABBCAAA, ABBCAAB, ABBCAAC, ABBCAAD, ABBCABA, ABBCABB, ABBCABC, ABBCABD, ABBCACA, ABBCACB, ABBCACC, ABBCACD, ABBCADA, ABBCADB, ABBCADC, ABBCADD, ABBCADE, ABBCBAA, ABBCBAB, ABBCBAC, ABBCBAD, ABBCBBA, ABBCBBB, ABBCBBC, ABBCBBD, ABBCBCA, ABBCBCB, ABBCBCC, ABBCBCD, ABBCBDA, ABBCBDB, ABBCBDC, ABBCBDD, ABBCBDE, ABBCCAA, ABBCCAB, ABBCCAC, ABBCCAD, ABBCCBA, ABBCCBB, ABBCCBC, ABBCCBD, ABBCCCA, ABBCCCB, ABBCCCC, ABBCCCD, ABBCCDA, ABBCCDB, ABBCCDC, ABBCCDD, ABBCCDE, ABBCDAA, ABBCDAB, ABBCDAC, ABBCDAD, ABBCDAE, ABBCDBA, ABBCDBB, ABBCDBC, ABBCDBD, ABBCDBE, ABBCDCA, ABBCDCB, ABBCDCC, ABBCDCD, ABBCDCE, ABBCDDA, ABBCDDB, ABBCDDC, ABBCDDD, ABBCDDE, ABBCDEA, ABBCDEB, ABBCDEC, ABBCDED, ABBCDEE, ABBCDEF, ABCAAAA, ABCAAAB, ABCAAAC, ABCAAAD, ABCAABA, ABCAABB, ABCAABC, ABCAABD, ABCAACA, ABCAACB, ABCAACC, ABCAACD, ABCAADA, ABCAADB, ABCAADC, ABCAADD, ABCAADE, ABCABAA, ABCABAB, ABCABAC, ABCABAD, ABCABBA, ABCABBB, ABCABBC, ABCABBD, ABCABCA, ABCABCB, ABCABCC, ABCABCD, ABCABDA, ABCABDB, ABCABDC, ABCABDD, ABCABDE, ABCACAA, ABCACAB, ABCACAC, ABCACAD, ABCACBA, ABCACBB, ABCACBC, ABCACBD, ABCACCA, ABCACCB, ABCACCC, ABCACCD, ABCACDA, ABCACDB, ABCACDC, ABCACDD, ABCACDE, ABCADAA, ABCADAB, ABCADAC, ABCADAD, ABCADAE, ABCADBA, ABCADBB, ABCADBC, ABCADBD, ABCADBE, ABCADCA, ABCADCB, ABCADCC, ABCADCD, ABCADCE, ABCADDA, ABCADDB, ABCADDC, ABCADDD, ABCADDE, ABCADEA, ABCADEB, ABCADEC, ABCADED, ABCADEE, ABCADEF, ABCBAAA, ABCBAAB, ABCBAAC, ABCBAAD, ABCBABA, ABCBABB, ABCBABC, ABCBABD, ABCBACA, ABCBACB, ABCBACC, ABCBACD, ABCBADA, ABCBADB, ABCBADC, ABCBADD, ABCBADE, ABCBBAA, ABCBBAB, ABCBBAC, ABCBBAD, ABCBBBA, ABCBBBB, ABCBBBC, ABCBBBD, ABCBBCA, ABCBBCB, ABCBBCC, ABCBBCD, ABCBBDA, ABCBBDB, ABCBBDC, ABCBBDD, ABCBBDE, ABCBCAA, ABCBCAB, ABCBCAC, ABCBCAD, ABCBCBA, ABCBCBB, ABCBCBC, ABCBCBD, ABCBCCA, ABCBCCB, ABCBCCC, ABCBCCD, ABCBCDA, ABCBCDB, ABCBCDC, ABCBCDD, ABCBCDE, ABCBDAA, ABCBDAB, ABCBDAC, ABCBDAD, ABCBDAE, ABCBDBA, ABCBDBB, ABCBDBC, ABCBDBD, ABCBDBE, ABCBDCA, ABCBDCB, ABCBDCC, ABCBDCD, ABCBDCE, ABCBDDA, ABCBDDB, ABCBDDC, ABCBDDD, ABCBDDE, ABCBDEA, ABCBDEB, ABCBDEC, ABCBDED, ABCBDEE, ABCBDEF, ABCCAAA, ABCCAAB, ABCCAAC, ABCCAAD, ABCCABA, ABCCABB, ABCCABC, ABCCABD, ABCCACA, ABCCACB, ABCCACC, ABCCACD, ABCCADA, ABCCADB, ABCCADC, ABCCADD, ABCCADE, ABCCBAA, ABCCBAB, ABCCBAC, ABCCBAD, ABCCBBA, ABCCBBB, ABCCBBC, ABCCBBD, ABCCBCA, ABCCBCB, ABCCBCC, ABCCBCD, ABCCBDA, ABCCBDB, ABCCBDC, ABCCBDD, ABCCBDE, ABCCCAA, ABCCCAB, ABCCCAC, ABCCCAD, ABCCCBA, ABCCCBB, ABCCCBC, ABCCCBD, ABCCCCA, ABCCCCB, ABCCCCC, ABCCCCD, ABCCCDA, ABCCCDB, ABCCCDC, ABCCCDD, ABCCCDE, ABCCDAA, ABCCDAB, ABCCDAC, ABCCDAD, ABCCDAE, ABCCDBA, ABCCDBB, ABCCDBC, ABCCDBD, ABCCDBE, ABCCDCA, ABCCDCB, ABCCDCC, ABCCDCD, ABCCDCE, ABCCDDA, ABCCDDB, ABCCDDC, ABCCDDD, ABCCDDE, ABCCDEA, ABCCDEB, ABCCDEC, ABCCDED, ABCCDEE, ABCCDEF, ABCDAAA, ABCDAAB, ABCDAAC, ABCDAAD, ABCDAAE, ABCDABA, ABCDABB, ABCDABC, ABCDABD, ABCDABE, ABCDACA, ABCDACB, ABCDACC, ABCDACD, ABCDACE, ABCDADA, ABCDADB, ABCDADC, ABCDADD, ABCDADE, ABCDAEA, ABCDAEB, ABCDAEC, ABCDAED, ABCDAEE, ABCDAEF, ABCDBAA, ABCDBAB, ABCDBAC, ABCDBAD, ABCDBAE, ABCDBBA, ABCDBBB, ABCDBBC, ABCDBBD, ABCDBBE, ABCDBCA, ABCDBCB, ABCDBCC, ABCDBCD, ABCDBCE, ABCDBDA, ABCDBDB, ABCDBDC, ABCDBDD, ABCDBDE, ABCDBEA, ABCDBEB, ABCDBEC, ABCDBED, ABCDBEE, ABCDBEF, ABCDCAA, ABCDCAB, ABCDCAC, ABCDCAD, ABCDCAE, ABCDCBA, ABCDCBB, ABCDCBC, ABCDCBD, ABCDCBE, ABCDCCA, ABCDCCB, ABCDCCC, ABCDCCD, ABCDCCE, ABCDCDA, ABCDCDB, ABCDCDC, ABCDCDD, ABCDCDE, ABCDCEA, ABCDCEB, ABCDCEC, ABCDCED, ABCDCEE, ABCDCEF, ABCDDAA, ABCDDAB, ABCDDAC, ABCDDAD, ABCDDAE, ABCDDBA, ABCDDBB, ABCDDBC, ABCDDBD, ABCDDBE, ABCDDCA, ABCDDCB, ABCDDCC, ABCDDCD, ABCDDCE, ABCDDDA, ABCDDDB, ABCDDDC, ABCDDDD, ABCDDDE, ABCDDEA, ABCDDEB, ABCDDEC, ABCDDED, ABCDDEE, ABCDDEF, ABCDEAA, ABCDEAB, ABCDEAC, ABCDEAD, ABCDEAE, ABCDEAF, ABCDEBA, ABCDEBB, ABCDEBC, ABCDEBD, ABCDEBE, ABCDEBF, ABCDECA, ABCDECB, ABCDECC, ABCDECD, ABCDECE, ABCDECF, ABCDEDA, ABCDEDB, ABCDEDC, ABCDEDD, ABCDEDE, ABCDEDF, ABCDEEA, ABCDEEB, ABCDEEC, ABCDEED, ABCDEEE, ABCDEEF, ABCDEFA, ABCDEFB, ABCDEFC, ABCDEFD, ABCDEFE, ABCDEFF, ABCDEFG

Click here to skip directly to the end.

n = 8

AAAAAAAA, AAAAAAAB, AAAAAABA, AAAAAABB, AAAAAABC, AAAAABAA, AAAAABAB, AAAAABAC, AAAAABBA, AAAAABBB, AAAAABBC, AAAAABCA, AAAAABCB, AAAAABCC, AAAAABCD, AAAABAAA, AAAABAAB, AAAABAAC, AAAABABA, AAAABABB, AAAABABC, AAAABACA, AAAABACB, AAAABACC, AAAABACD, AAAABBAA, AAAABBAB, AAAABBAC, AAAABBBA, AAAABBBB, AAAABBBC, AAAABBCA, AAAABBCB, AAAABBCC, AAAABBCD, AAAABCAA, AAAABCAB, AAAABCAC, AAAABCAD, AAAABCBA, AAAABCBB, AAAABCBC, AAAABCBD, AAAABCCA, AAAABCCB, AAAABCCC, AAAABCCD, AAAABCDA, AAAABCDB, AAAABCDC, AAAABCDD, AAAABCDE, AAABAAAA, AAABAAAB, AAABAAAC, AAABAABA, AAABAABB, AAABAABC, AAABAACA, AAABAACB, AAABAACC, AAABAACD, AAABABAA, AAABABAB, AAABABAC, AAABABBA, AAABABBB, AAABABBC, AAABABCA, AAABABCB, AAABABCC, AAABABCD, AAABACAA, AAABACAB, AAABACAC, AAABACAD, AAABACBA, AAABACBB, AAABACBC, AAABACBD, AAABACCA, AAABACCB, AAABACCC, AAABACCD, AAABACDA, AAABACDB, AAABACDC, AAABACDD, AAABACDE, AAABBAAA, AAABBAAB, AAABBAAC, AAABBABA, AAABBABB, AAABBABC, AAABBACA, AAABBACB, AAABBACC, AAABBACD, AAABBBAA, AAABBBAB, AAABBBAC, AAABBBBA, AAABBBBB, AAABBBBC, AAABBBCA, AAABBBCB, AAABBBCC, AAABBBCD, AAABBCAA, AAABBCAB, AAABBCAC, AAABBCAD, AAABBCBA, AAABBCBB, AAABBCBC, AAABBCBD, AAABBCCA, AAABBCCB, AAABBCCC, AAABBCCD, AAABBCDA, AAABBCDB, AAABBCDC, AAABBCDD, AAABBCDE, AAABCAAA, AAABCAAB, AAABCAAC, AAABCAAD, AAABCABA, AAABCABB, AAABCABC, AAABCABD, AAABCACA, AAABCACB, AAABCACC, AAABCACD, AAABCADA, AAABCADB, AAABCADC, AAABCADD, AAABCADE, AAABCBAA, AAABCBAB, AAABCBAC, AAABCBAD, AAABCBBA, AAABCBBB, AAABCBBC, AAABCBBD, AAABCBCA, AAABCBCB, AAABCBCC, AAABCBCD, AAABCBDA, AAABCBDB, AAABCBDC, AAABCBDD, AAABCBDE, AAABCCAA, AAABCCAB, AAABCCAC, AAABCCAD, AAABCCBA, AAABCCBB, AAABCCBC, AAABCCBD, AAABCCCA, AAABCCCB, AAABCCCC, AAABCCCD, AAABCCDA, AAABCCDB, AAABCCDC, AAABCCDD, AAABCCDE, AAABCDAA, AAABCDAB, AAABCDAC, AAABCDAD, AAABCDAE, AAABCDBA, AAABCDBB, AAABCDBC, AAABCDBD, AAABCDBE, AAABCDCA, AAABCDCB, AAABCDCC, AAABCDCD, AAABCDCE, AAABCDDA, AAABCDDB, AAABCDDC, AAABCDDD, AAABCDDE, AAABCDEA, AAABCDEB, AAABCDEC, 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ABCCBDAD, ABCCBDAE, ABCCBDBA, ABCCBDBB, ABCCBDBC, ABCCBDBD, ABCCBDBE, ABCCBDCA, ABCCBDCB, ABCCBDCC, ABCCBDCD, ABCCBDCE, ABCCBDDA, ABCCBDDB, ABCCBDDC, ABCCBDDD, ABCCBDDE, ABCCBDEA, ABCCBDEB, ABCCBDEC, ABCCBDED, ABCCBDEE, ABCCBDEF, ABCCCAAA, ABCCCAAB, ABCCCAAC, ABCCCAAD, ABCCCABA, ABCCCABB, ABCCCABC, ABCCCABD, ABCCCACA, ABCCCACB, ABCCCACC, ABCCCACD, ABCCCADA, ABCCCADB, ABCCCADC, ABCCCADD, ABCCCADE, ABCCCBAA, ABCCCBAB, ABCCCBAC, ABCCCBAD, ABCCCBBA, ABCCCBBB, ABCCCBBC, ABCCCBBD, ABCCCBCA, ABCCCBCB, ABCCCBCC, ABCCCBCD, ABCCCBDA, ABCCCBDB, ABCCCBDC, ABCCCBDD, ABCCCBDE, ABCCCCAA, ABCCCCAB, ABCCCCAC, ABCCCCAD, ABCCCCBA, ABCCCCBB, ABCCCCBC, ABCCCCBD, ABCCCCCA, ABCCCCCB, ABCCCCCC, ABCCCCCD, ABCCCCDA, ABCCCCDB, ABCCCCDC, ABCCCCDD, ABCCCCDE, ABCCCDAA, ABCCCDAB, ABCCCDAC, ABCCCDAD, ABCCCDAE, ABCCCDBA, ABCCCDBB, ABCCCDBC, ABCCCDBD, ABCCCDBE, ABCCCDCA, ABCCCDCB, ABCCCDCC, ABCCCDCD, ABCCCDCE, ABCCCDDA, ABCCCDDB, ABCCCDDC, ABCCCDDD, ABCCCDDE, ABCCCDEA, ABCCCDEB, ABCCCDEC, ABCCCDED, ABCCCDEE, ABCCCDEF, ABCCDAAA, ABCCDAAB, ABCCDAAC, ABCCDAAD, ABCCDAAE, ABCCDABA, ABCCDABB, ABCCDABC, ABCCDABD, ABCCDABE, ABCCDACA, ABCCDACB, ABCCDACC, ABCCDACD, ABCCDACE, ABCCDADA, ABCCDADB, ABCCDADC, ABCCDADD, ABCCDADE, ABCCDAEA, ABCCDAEB, ABCCDAEC, ABCCDAED, ABCCDAEE, ABCCDAEF, ABCCDBAA, ABCCDBAB, ABCCDBAC, ABCCDBAD, ABCCDBAE, ABCCDBBA, ABCCDBBB, ABCCDBBC, ABCCDBBD, ABCCDBBE, ABCCDBCA, ABCCDBCB, ABCCDBCC, ABCCDBCD, ABCCDBCE, ABCCDBDA, ABCCDBDB, ABCCDBDC, ABCCDBDD, ABCCDBDE, ABCCDBEA, ABCCDBEB, ABCCDBEC, ABCCDBED, ABCCDBEE, ABCCDBEF, ABCCDCAA, ABCCDCAB, ABCCDCAC, ABCCDCAD, ABCCDCAE, ABCCDCBA, ABCCDCBB, ABCCDCBC, ABCCDCBD, ABCCDCBE, ABCCDCCA, ABCCDCCB, ABCCDCCC, ABCCDCCD, ABCCDCCE, ABCCDCDA, ABCCDCDB, ABCCDCDC, ABCCDCDD, ABCCDCDE, ABCCDCEA, ABCCDCEB, ABCCDCEC, ABCCDCED, ABCCDCEE, ABCCDCEF, ABCCDDAA, ABCCDDAB, ABCCDDAC, ABCCDDAD, ABCCDDAE, ABCCDDBA, ABCCDDBB, ABCCDDBC, ABCCDDBD, ABCCDDBE, ABCCDDCA, ABCCDDCB, ABCCDDCC, ABCCDDCD, ABCCDDCE, ABCCDDDA, ABCCDDDB, ABCCDDDC, ABCCDDDD, ABCCDDDE, ABCCDDEA, ABCCDDEB, ABCCDDEC, ABCCDDED, ABCCDDEE, ABCCDDEF, ABCCDEAA, ABCCDEAB, ABCCDEAC, ABCCDEAD, ABCCDEAE, ABCCDEAF, ABCCDEBA, ABCCDEBB, ABCCDEBC, ABCCDEBD, ABCCDEBE, ABCCDEBF, ABCCDECA, ABCCDECB, ABCCDECC, ABCCDECD, ABCCDECE, ABCCDECF, ABCCDEDA, ABCCDEDB, ABCCDEDC, ABCCDEDD, ABCCDEDE, ABCCDEDF, ABCCDEEA, ABCCDEEB, ABCCDEEC, ABCCDEED, ABCCDEEE, ABCCDEEF, ABCCDEFA, ABCCDEFB, ABCCDEFC, ABCCDEFD, ABCCDEFE, ABCCDEFF, ABCCDEFG, ABCDAAAA, ABCDAAAB, ABCDAAAC, ABCDAAAD, ABCDAAAE, ABCDAABA, ABCDAABB, ABCDAABC, ABCDAABD, ABCDAABE, ABCDAACA, ABCDAACB, ABCDAACC, ABCDAACD, ABCDAACE, ABCDAADA, ABCDAADB, ABCDAADC, ABCDAADD, ABCDAADE, ABCDAAEA, ABCDAAEB, ABCDAAEC, ABCDAAED, ABCDAAEE, ABCDAAEF, ABCDABAA, ABCDABAB, ABCDABAC, ABCDABAD, ABCDABAE, ABCDABBA, ABCDABBB, ABCDABBC, ABCDABBD, ABCDABBE, ABCDABCA, ABCDABCB, ABCDABCC, ABCDABCD, ABCDABCE, ABCDABDA, ABCDABDB, ABCDABDC, ABCDABDD, ABCDABDE, ABCDABEA, ABCDABEB, ABCDABEC, ABCDABED, ABCDABEE, ABCDABEF, ABCDACAA, ABCDACAB, ABCDACAC, ABCDACAD, ABCDACAE, ABCDACBA, ABCDACBB, ABCDACBC, ABCDACBD, ABCDACBE, ABCDACCA, ABCDACCB, ABCDACCC, ABCDACCD, ABCDACCE, ABCDACDA, ABCDACDB, ABCDACDC, ABCDACDD, ABCDACDE, ABCDACEA, ABCDACEB, ABCDACEC, ABCDACED, ABCDACEE, ABCDACEF, ABCDADAA, ABCDADAB, ABCDADAC, ABCDADAD, ABCDADAE, ABCDADBA, ABCDADBB, ABCDADBC, ABCDADBD, ABCDADBE, ABCDADCA, ABCDADCB, ABCDADCC, ABCDADCD, ABCDADCE, ABCDADDA, ABCDADDB, ABCDADDC, ABCDADDD, ABCDADDE, ABCDADEA, ABCDADEB, ABCDADEC, ABCDADED, ABCDADEE, ABCDADEF, ABCDAEAA, ABCDAEAB, ABCDAEAC, ABCDAEAD, ABCDAEAE, ABCDAEAF, ABCDAEBA, ABCDAEBB, ABCDAEBC, ABCDAEBD, ABCDAEBE, ABCDAEBF, ABCDAECA, ABCDAECB, ABCDAECC, ABCDAECD, ABCDAECE, ABCDAECF, ABCDAEDA, ABCDAEDB, ABCDAEDC, ABCDAEDD, ABCDAEDE, ABCDAEDF, ABCDAEEA, ABCDAEEB, ABCDAEEC, ABCDAEED, ABCDAEEE, ABCDAEEF, ABCDAEFA, ABCDAEFB, ABCDAEFC, ABCDAEFD, ABCDAEFE, ABCDAEFF, ABCDAEFG, ABCDBAAA, ABCDBAAB, ABCDBAAC, ABCDBAAD, ABCDBAAE, ABCDBABA, ABCDBABB, ABCDBABC, ABCDBABD, ABCDBABE, ABCDBACA, ABCDBACB, ABCDBACC, ABCDBACD, ABCDBACE, ABCDBADA, ABCDBADB, ABCDBADC, ABCDBADD, ABCDBADE, ABCDBAEA, ABCDBAEB, ABCDBAEC, ABCDBAED, ABCDBAEE, ABCDBAEF, ABCDBBAA, ABCDBBAB, ABCDBBAC, ABCDBBAD, ABCDBBAE, ABCDBBBA, ABCDBBBB, ABCDBBBC, ABCDBBBD, ABCDBBBE, ABCDBBCA, ABCDBBCB, ABCDBBCC, ABCDBBCD, ABCDBBCE, ABCDBBDA, ABCDBBDB, ABCDBBDC, ABCDBBDD, ABCDBBDE, ABCDBBEA, ABCDBBEB, ABCDBBEC, ABCDBBED, ABCDBBEE, ABCDBBEF, ABCDBCAA, ABCDBCAB, ABCDBCAC, ABCDBCAD, ABCDBCAE, ABCDBCBA, ABCDBCBB, ABCDBCBC, ABCDBCBD, ABCDBCBE, ABCDBCCA, ABCDBCCB, ABCDBCCC, ABCDBCCD, ABCDBCCE, ABCDBCDA, ABCDBCDB, ABCDBCDC, ABCDBCDD, ABCDBCDE, ABCDBCEA, ABCDBCEB, ABCDBCEC, ABCDBCED, ABCDBCEE, ABCDBCEF, ABCDBDAA, ABCDBDAB, ABCDBDAC, ABCDBDAD, ABCDBDAE, ABCDBDBA, ABCDBDBB, ABCDBDBC, ABCDBDBD, ABCDBDBE, ABCDBDCA, ABCDBDCB, ABCDBDCC, ABCDBDCD, ABCDBDCE, ABCDBDDA, ABCDBDDB, ABCDBDDC, ABCDBDDD, ABCDBDDE, ABCDBDEA, ABCDBDEB, ABCDBDEC, ABCDBDED, ABCDBDEE, ABCDBDEF, ABCDBEAA, ABCDBEAB, ABCDBEAC, ABCDBEAD, ABCDBEAE, ABCDBEAF, ABCDBEBA, ABCDBEBB, ABCDBEBC, ABCDBEBD, ABCDBEBE, ABCDBEBF, ABCDBECA, ABCDBECB, ABCDBECC, ABCDBECD, ABCDBECE, ABCDBECF, ABCDBEDA, ABCDBEDB, ABCDBEDC, ABCDBEDD, ABCDBEDE, ABCDBEDF, ABCDBEEA, ABCDBEEB, ABCDBEEC, ABCDBEED, ABCDBEEE, ABCDBEEF, ABCDBEFA, ABCDBEFB, ABCDBEFC, ABCDBEFD, ABCDBEFE, ABCDBEFF, ABCDBEFG, ABCDCAAA, ABCDCAAB, ABCDCAAC, ABCDCAAD, ABCDCAAE, ABCDCABA, ABCDCABB, ABCDCABC, ABCDCABD, ABCDCABE, ABCDCACA, ABCDCACB, ABCDCACC, ABCDCACD, ABCDCACE, ABCDCADA, ABCDCADB, ABCDCADC, ABCDCADD, ABCDCADE, ABCDCAEA, ABCDCAEB, ABCDCAEC, ABCDCAED, ABCDCAEE, ABCDCAEF, ABCDCBAA, ABCDCBAB, ABCDCBAC, ABCDCBAD, ABCDCBAE, ABCDCBBA, ABCDCBBB, ABCDCBBC, ABCDCBBD, ABCDCBBE, ABCDCBCA, ABCDCBCB, ABCDCBCC, ABCDCBCD, ABCDCBCE, ABCDCBDA, ABCDCBDB, ABCDCBDC, ABCDCBDD, ABCDCBDE, ABCDCBEA, ABCDCBEB, ABCDCBEC, ABCDCBED, ABCDCBEE, ABCDCBEF, ABCDCCAA, ABCDCCAB, ABCDCCAC, ABCDCCAD, ABCDCCAE, ABCDCCBA, ABCDCCBB, ABCDCCBC, ABCDCCBD, ABCDCCBE, ABCDCCCA, ABCDCCCB, ABCDCCCC, ABCDCCCD, ABCDCCCE, ABCDCCDA, ABCDCCDB, ABCDCCDC, ABCDCCDD, ABCDCCDE, ABCDCCEA, ABCDCCEB, ABCDCCEC, ABCDCCED, ABCDCCEE, ABCDCCEF, ABCDCDAA, ABCDCDAB, ABCDCDAC, ABCDCDAD, ABCDCDAE, ABCDCDBA, ABCDCDBB, ABCDCDBC, ABCDCDBD, ABCDCDBE, ABCDCDCA, ABCDCDCB, ABCDCDCC, ABCDCDCD, ABCDCDCE, ABCDCDDA, ABCDCDDB, ABCDCDDC, ABCDCDDD, ABCDCDDE, ABCDCDEA, ABCDCDEB, ABCDCDEC, ABCDCDED, ABCDCDEE, ABCDCDEF, ABCDCEAA, ABCDCEAB, ABCDCEAC, ABCDCEAD, ABCDCEAE, ABCDCEAF, ABCDCEBA, ABCDCEBB, ABCDCEBC, ABCDCEBD, ABCDCEBE, ABCDCEBF, ABCDCECA, ABCDCECB, ABCDCECC, ABCDCECD, ABCDCECE, ABCDCECF, ABCDCEDA, ABCDCEDB, ABCDCEDC, ABCDCEDD, ABCDCEDE, ABCDCEDF, ABCDCEEA, ABCDCEEB, ABCDCEEC, ABCDCEED, ABCDCEEE, ABCDCEEF, ABCDCEFA, ABCDCEFB, ABCDCEFC, ABCDCEFD, ABCDCEFE, ABCDCEFF, ABCDCEFG, ABCDDAAA, ABCDDAAB, ABCDDAAC, ABCDDAAD, ABCDDAAE, ABCDDABA, ABCDDABB, ABCDDABC, ABCDDABD, ABCDDABE, ABCDDACA, ABCDDACB, ABCDDACC, ABCDDACD, ABCDDACE, ABCDDADA, ABCDDADB, ABCDDADC, ABCDDADD, ABCDDADE, ABCDDAEA, ABCDDAEB, ABCDDAEC, ABCDDAED, ABCDDAEE, ABCDDAEF, ABCDDBAA, ABCDDBAB, ABCDDBAC, ABCDDBAD, ABCDDBAE, ABCDDBBA, ABCDDBBB, ABCDDBBC, ABCDDBBD, ABCDDBBE, ABCDDBCA, ABCDDBCB, ABCDDBCC, ABCDDBCD, ABCDDBCE, ABCDDBDA, ABCDDBDB, ABCDDBDC, ABCDDBDD, ABCDDBDE, ABCDDBEA, ABCDDBEB, ABCDDBEC, ABCDDBED, ABCDDBEE, ABCDDBEF, ABCDDCAA, ABCDDCAB, ABCDDCAC, ABCDDCAD, ABCDDCAE, ABCDDCBA, ABCDDCBB, ABCDDCBC, ABCDDCBD, ABCDDCBE, ABCDDCCA, ABCDDCCB, ABCDDCCC, ABCDDCCD, ABCDDCCE, ABCDDCDA, ABCDDCDB, ABCDDCDC, ABCDDCDD, ABCDDCDE, ABCDDCEA, ABCDDCEB, ABCDDCEC, ABCDDCED, ABCDDCEE, ABCDDCEF, ABCDDDAA, ABCDDDAB, ABCDDDAC, ABCDDDAD, ABCDDDAE, ABCDDDBA, ABCDDDBB, ABCDDDBC, ABCDDDBD, ABCDDDBE, ABCDDDCA, ABCDDDCB, ABCDDDCC, ABCDDDCD, ABCDDDCE, ABCDDDDA, ABCDDDDB, ABCDDDDC, ABCDDDDD, ABCDDDDE, ABCDDDEA, ABCDDDEB, ABCDDDEC, ABCDDDED, ABCDDDEE, ABCDDDEF, ABCDDEAA, ABCDDEAB, ABCDDEAC, ABCDDEAD, ABCDDEAE, ABCDDEAF, ABCDDEBA, ABCDDEBB, ABCDDEBC, ABCDDEBD, ABCDDEBE, ABCDDEBF, ABCDDECA, ABCDDECB, ABCDDECC, ABCDDECD, ABCDDECE, ABCDDECF, ABCDDEDA, ABCDDEDB, ABCDDEDC, ABCDDEDD, ABCDDEDE, ABCDDEDF, ABCDDEEA, ABCDDEEB, ABCDDEEC, ABCDDEED, ABCDDEEE, ABCDDEEF, ABCDDEFA, ABCDDEFB, ABCDDEFC, ABCDDEFD, ABCDDEFE, ABCDDEFF, ABCDDEFG, ABCDEAAA, ABCDEAAB, ABCDEAAC, ABCDEAAD, ABCDEAAE, ABCDEAAF, ABCDEABA, ABCDEABB, ABCDEABC, ABCDEABD, ABCDEABE, ABCDEABF, ABCDEACA, ABCDEACB, ABCDEACC, ABCDEACD, ABCDEACE, ABCDEACF, ABCDEADA, ABCDEADB, ABCDEADC, ABCDEADD, ABCDEADE, ABCDEADF, ABCDEAEA, ABCDEAEB, ABCDEAEC, ABCDEAED, ABCDEAEE, ABCDEAEF, ABCDEAFA, ABCDEAFB, ABCDEAFC, ABCDEAFD, ABCDEAFE, ABCDEAFF, ABCDEAFG, ABCDEBAA, ABCDEBAB, ABCDEBAC, ABCDEBAD, ABCDEBAE, ABCDEBAF, ABCDEBBA, ABCDEBBB, ABCDEBBC, ABCDEBBD, ABCDEBBE, ABCDEBBF, ABCDEBCA, ABCDEBCB, ABCDEBCC, ABCDEBCD, ABCDEBCE, ABCDEBCF, ABCDEBDA, ABCDEBDB, ABCDEBDC, ABCDEBDD, ABCDEBDE, ABCDEBDF, ABCDEBEA, ABCDEBEB, ABCDEBEC, ABCDEBED, ABCDEBEE, ABCDEBEF, ABCDEBFA, ABCDEBFB, ABCDEBFC, ABCDEBFD, ABCDEBFE, ABCDEBFF, ABCDEBFG, ABCDECAA, ABCDECAB, ABCDECAC, ABCDECAD, ABCDECAE, ABCDECAF, ABCDECBA, ABCDECBB, ABCDECBC, ABCDECBD, ABCDECBE, ABCDECBF, ABCDECCA, ABCDECCB, ABCDECCC, ABCDECCD, ABCDECCE, ABCDECCF, ABCDECDA, ABCDECDB, ABCDECDC, ABCDECDD, ABCDECDE, ABCDECDF, ABCDECEA, ABCDECEB, ABCDECEC, ABCDECED, ABCDECEE, ABCDECEF, ABCDECFA, ABCDECFB, ABCDECFC, ABCDECFD, ABCDECFE, ABCDECFF, ABCDECFG, ABCDEDAA, ABCDEDAB, ABCDEDAC, ABCDEDAD, ABCDEDAE, ABCDEDAF, ABCDEDBA, ABCDEDBB, ABCDEDBC, ABCDEDBD, ABCDEDBE, ABCDEDBF, ABCDEDCA, ABCDEDCB, ABCDEDCC, ABCDEDCD, ABCDEDCE, ABCDEDCF, ABCDEDDA, ABCDEDDB, ABCDEDDC, ABCDEDDD, ABCDEDDE, ABCDEDDF, ABCDEDEA, ABCDEDEB, ABCDEDEC, ABCDEDED, ABCDEDEE, ABCDEDEF, ABCDEDFA, ABCDEDFB, ABCDEDFC, ABCDEDFD, ABCDEDFE, ABCDEDFF, ABCDEDFG, ABCDEEAA, ABCDEEAB, ABCDEEAC, ABCDEEAD, ABCDEEAE, ABCDEEAF, ABCDEEBA, ABCDEEBB, ABCDEEBC, ABCDEEBD, ABCDEEBE, ABCDEEBF, ABCDEECA, ABCDEECB, ABCDEECC, ABCDEECD, ABCDEECE, ABCDEECF, ABCDEEDA, ABCDEEDB, ABCDEEDC, ABCDEEDD, ABCDEEDE, ABCDEEDF, ABCDEEEA, ABCDEEEB, ABCDEEEC, ABCDEEED, ABCDEEEE, ABCDEEEF, ABCDEEFA, ABCDEEFB, ABCDEEFC, ABCDEEFD, ABCDEEFE, ABCDEEFF, ABCDEEFG, ABCDEFAA, ABCDEFAB, ABCDEFAC, ABCDEFAD, ABCDEFAE, ABCDEFAF, ABCDEFAG, ABCDEFBA, ABCDEFBB, ABCDEFBC, ABCDEFBD, ABCDEFBE, ABCDEFBF, ABCDEFBG, ABCDEFCA, ABCDEFCB, ABCDEFCC, ABCDEFCD, ABCDEFCE, ABCDEFCF, ABCDEFCG, ABCDEFDA, ABCDEFDB, ABCDEFDC, ABCDEFDD, ABCDEFDE, ABCDEFDF, ABCDEFDG, ABCDEFEA, ABCDEFEB, ABCDEFEC, ABCDEFED, ABCDEFEE, ABCDEFEF, ABCDEFEG, ABCDEFFA, ABCDEFFB, ABCDEFFC, ABCDEFFD, ABCDEFFE, ABCDEFFF, ABCDEFFG, ABCDEFGA, ABCDEFGB, ABCDEFGC, ABCDEFGD, ABCDEFGE, ABCDEFGF, ABCDEFGG, ABCDEFGH

n = 9

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ABCDBBBAE, ABCDBBBBA, ABCDBBBBB, ABCDBBBBC, ABCDBBBBD, ABCDBBBBE, ABCDBBBCA, ABCDBBBCB, ABCDBBBCC, ABCDBBBCD, ABCDBBBCE, ABCDBBBDA, ABCDBBBDB, ABCDBBBDC, ABCDBBBDD, ABCDBBBDE, ABCDBBBEA, ABCDBBBEB, ABCDBBBEC, ABCDBBBED, ABCDBBBEE, ABCDBBBEF, ABCDBBCAA, ABCDBBCAB, ABCDBBCAC, ABCDBBCAD, ABCDBBCAE, ABCDBBCBA, ABCDBBCBB, ABCDBBCBC, ABCDBBCBD, ABCDBBCBE, ABCDBBCCA, ABCDBBCCB, ABCDBBCCC, ABCDBBCCD, ABCDBBCCE, ABCDBBCDA, ABCDBBCDB, ABCDBBCDC, ABCDBBCDD, ABCDBBCDE, ABCDBBCEA, ABCDBBCEB, ABCDBBCEC, ABCDBBCED, ABCDBBCEE, ABCDBBCEF, ABCDBBDAA, ABCDBBDAB, ABCDBBDAC, ABCDBBDAD, ABCDBBDAE, ABCDBBDBA, ABCDBBDBB, ABCDBBDBC, ABCDBBDBD, ABCDBBDBE, ABCDBBDCA, ABCDBBDCB, ABCDBBDCC, ABCDBBDCD, ABCDBBDCE, ABCDBBDDA, ABCDBBDDB, ABCDBBDDC, ABCDBBDDD, ABCDBBDDE, ABCDBBDEA, ABCDBBDEB, ABCDBBDEC, ABCDBBDED, ABCDBBDEE, ABCDBBDEF, ABCDBBEAA, ABCDBBEAB, ABCDBBEAC, ABCDBBEAD, ABCDBBEAE, ABCDBBEAF, ABCDBBEBA, ABCDBBEBB, ABCDBBEBC, ABCDBBEBD, ABCDBBEBE, ABCDBBEBF, ABCDBBECA, ABCDBBECB, ABCDBBECC, ABCDBBECD, ABCDBBECE, ABCDBBECF, ABCDBBEDA, ABCDBBEDB, ABCDBBEDC, ABCDBBEDD, ABCDBBEDE, ABCDBBEDF, ABCDBBEEA, ABCDBBEEB, ABCDBBEEC, ABCDBBEED, ABCDBBEEE, ABCDBBEEF, ABCDBBEFA, ABCDBBEFB, ABCDBBEFC, ABCDBBEFD, ABCDBBEFE, ABCDBBEFF, ABCDBBEFG, ABCDBCAAA, ABCDBCAAB, ABCDBCAAC, ABCDBCAAD, ABCDBCAAE, ABCDBCABA, ABCDBCABB, ABCDBCABC, ABCDBCABD, ABCDBCABE, ABCDBCACA, ABCDBCACB, ABCDBCACC, ABCDBCACD, ABCDBCACE, ABCDBCADA, ABCDBCADB, ABCDBCADC, ABCDBCADD, ABCDBCADE, ABCDBCAEA, ABCDBCAEB, ABCDBCAEC, ABCDBCAED, ABCDBCAEE, ABCDBCAEF, ABCDBCBAA, ABCDBCBAB, ABCDBCBAC, ABCDBCBAD, ABCDBCBAE, ABCDBCBBA, ABCDBCBBB, ABCDBCBBC, ABCDBCBBD, ABCDBCBBE, ABCDBCBCA, ABCDBCBCB, ABCDBCBCC, ABCDBCBCD, ABCDBCBCE, ABCDBCBDA, ABCDBCBDB, ABCDBCBDC, ABCDBCBDD, ABCDBCBDE, ABCDBCBEA, ABCDBCBEB, ABCDBCBEC, ABCDBCBED, ABCDBCBEE, ABCDBCBEF, ABCDBCCAA, ABCDBCCAB, ABCDBCCAC, ABCDBCCAD, ABCDBCCAE, ABCDBCCBA, ABCDBCCBB, ABCDBCCBC, ABCDBCCBD, ABCDBCCBE, ABCDBCCCA, ABCDBCCCB, ABCDBCCCC, ABCDBCCCD, ABCDBCCCE, ABCDBCCDA, ABCDBCCDB, ABCDBCCDC, ABCDBCCDD, ABCDBCCDE, ABCDBCCEA, ABCDBCCEB, ABCDBCCEC, ABCDBCCED, ABCDBCCEE, ABCDBCCEF, ABCDBCDAA, ABCDBCDAB, ABCDBCDAC, ABCDBCDAD, ABCDBCDAE, ABCDBCDBA, ABCDBCDBB, ABCDBCDBC, ABCDBCDBD, ABCDBCDBE, ABCDBCDCA, ABCDBCDCB, ABCDBCDCC, ABCDBCDCD, ABCDBCDCE, ABCDBCDDA, ABCDBCDDB, ABCDBCDDC, ABCDBCDDD, ABCDBCDDE, ABCDBCDEA, ABCDBCDEB, ABCDBCDEC, ABCDBCDED, ABCDBCDEE, ABCDBCDEF, ABCDBCEAA, ABCDBCEAB, ABCDBCEAC, ABCDBCEAD, ABCDBCEAE, ABCDBCEAF, ABCDBCEBA, ABCDBCEBB, ABCDBCEBC, ABCDBCEBD, ABCDBCEBE, ABCDBCEBF, ABCDBCECA, ABCDBCECB, ABCDBCECC, ABCDBCECD, ABCDBCECE, ABCDBCECF, ABCDBCEDA, ABCDBCEDB, ABCDBCEDC, ABCDBCEDD, ABCDBCEDE, ABCDBCEDF, ABCDBCEEA, ABCDBCEEB, ABCDBCEEC, ABCDBCEED, ABCDBCEEE, ABCDBCEEF, ABCDBCEFA, ABCDBCEFB, ABCDBCEFC, ABCDBCEFD, ABCDBCEFE, ABCDBCEFF, ABCDBCEFG, ABCDBDAAA, ABCDBDAAB, ABCDBDAAC, ABCDBDAAD, ABCDBDAAE, ABCDBDABA, ABCDBDABB, ABCDBDABC, ABCDBDABD, ABCDBDABE, ABCDBDACA, ABCDBDACB, ABCDBDACC, ABCDBDACD, ABCDBDACE, ABCDBDADA, ABCDBDADB, ABCDBDADC, ABCDBDADD, ABCDBDADE, ABCDBDAEA, ABCDBDAEB, ABCDBDAEC, ABCDBDAED, ABCDBDAEE, ABCDBDAEF, ABCDBDBAA, ABCDBDBAB, ABCDBDBAC, ABCDBDBAD, ABCDBDBAE, ABCDBDBBA, ABCDBDBBB, ABCDBDBBC, ABCDBDBBD, ABCDBDBBE, ABCDBDBCA, ABCDBDBCB, ABCDBDBCC, ABCDBDBCD, ABCDBDBCE, ABCDBDBDA, ABCDBDBDB, ABCDBDBDC, ABCDBDBDD, ABCDBDBDE, ABCDBDBEA, ABCDBDBEB, ABCDBDBEC, ABCDBDBED, ABCDBDBEE, ABCDBDBEF, ABCDBDCAA, ABCDBDCAB, ABCDBDCAC, ABCDBDCAD, ABCDBDCAE, ABCDBDCBA, ABCDBDCBB, ABCDBDCBC, ABCDBDCBD, ABCDBDCBE, ABCDBDCCA, ABCDBDCCB, ABCDBDCCC, ABCDBDCCD, ABCDBDCCE, ABCDBDCDA, ABCDBDCDB, ABCDBDCDC, ABCDBDCDD, ABCDBDCDE, ABCDBDCEA, ABCDBDCEB, ABCDBDCEC, ABCDBDCED, ABCDBDCEE, ABCDBDCEF, ABCDBDDAA, ABCDBDDAB, ABCDBDDAC, ABCDBDDAD, ABCDBDDAE, ABCDBDDBA, ABCDBDDBB, ABCDBDDBC, ABCDBDDBD, ABCDBDDBE, ABCDBDDCA, ABCDBDDCB, ABCDBDDCC, ABCDBDDCD, ABCDBDDCE, ABCDBDDDA, ABCDBDDDB, ABCDBDDDC, ABCDBDDDD, ABCDBDDDE, ABCDBDDEA, ABCDBDDEB, ABCDBDDEC, ABCDBDDED, ABCDBDDEE, ABCDBDDEF, ABCDBDEAA, ABCDBDEAB, ABCDBDEAC, ABCDBDEAD, ABCDBDEAE, ABCDBDEAF, ABCDBDEBA, ABCDBDEBB, 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ABCDBEBEB, ABCDBEBEC, ABCDBEBED, ABCDBEBEE, ABCDBEBEF, ABCDBEBFA, ABCDBEBFB, ABCDBEBFC, ABCDBEBFD, ABCDBEBFE, ABCDBEBFF, ABCDBEBFG, ABCDBECAA, ABCDBECAB, ABCDBECAC, ABCDBECAD, ABCDBECAE, ABCDBECAF, ABCDBECBA, ABCDBECBB, ABCDBECBC, ABCDBECBD, ABCDBECBE, ABCDBECBF, ABCDBECCA, ABCDBECCB, ABCDBECCC, ABCDBECCD, ABCDBECCE, ABCDBECCF, ABCDBECDA, ABCDBECDB, ABCDBECDC, ABCDBECDD, ABCDBECDE, ABCDBECDF, ABCDBECEA, ABCDBECEB, ABCDBECEC, ABCDBECED, ABCDBECEE, ABCDBECEF, ABCDBECFA, ABCDBECFB, ABCDBECFC, ABCDBECFD, ABCDBECFE, ABCDBECFF, ABCDBECFG, ABCDBEDAA, ABCDBEDAB, ABCDBEDAC, ABCDBEDAD, ABCDBEDAE, ABCDBEDAF, ABCDBEDBA, ABCDBEDBB, ABCDBEDBC, ABCDBEDBD, ABCDBEDBE, ABCDBEDBF, ABCDBEDCA, ABCDBEDCB, ABCDBEDCC, ABCDBEDCD, ABCDBEDCE, ABCDBEDCF, ABCDBEDDA, ABCDBEDDB, ABCDBEDDC, ABCDBEDDD, ABCDBEDDE, ABCDBEDDF, ABCDBEDEA, ABCDBEDEB, ABCDBEDEC, ABCDBEDED, ABCDBEDEE, ABCDBEDEF, ABCDBEDFA, ABCDBEDFB, ABCDBEDFC, ABCDBEDFD, ABCDBEDFE, ABCDBEDFF, ABCDBEDFG, ABCDBEEAA, ABCDBEEAB, ABCDBEEAC, ABCDBEEAD, ABCDBEEAE, ABCDBEEAF, ABCDBEEBA, ABCDBEEBB, ABCDBEEBC, ABCDBEEBD, ABCDBEEBE, ABCDBEEBF, ABCDBEECA, ABCDBEECB, ABCDBEECC, ABCDBEECD, ABCDBEECE, ABCDBEECF, ABCDBEEDA, ABCDBEEDB, ABCDBEEDC, ABCDBEEDD, ABCDBEEDE, ABCDBEEDF, ABCDBEEEA, ABCDBEEEB, ABCDBEEEC, ABCDBEEED, ABCDBEEEE, ABCDBEEEF, ABCDBEEFA, ABCDBEEFB, ABCDBEEFC, ABCDBEEFD, ABCDBEEFE, ABCDBEEFF, ABCDBEEFG, ABCDBEFAA, ABCDBEFAB, ABCDBEFAC, ABCDBEFAD, ABCDBEFAE, ABCDBEFAF, ABCDBEFAG, ABCDBEFBA, ABCDBEFBB, ABCDBEFBC, ABCDBEFBD, ABCDBEFBE, ABCDBEFBF, ABCDBEFBG, ABCDBEFCA, ABCDBEFCB, ABCDBEFCC, ABCDBEFCD, ABCDBEFCE, ABCDBEFCF, ABCDBEFCG, ABCDBEFDA, ABCDBEFDB, ABCDBEFDC, ABCDBEFDD, ABCDBEFDE, ABCDBEFDF, ABCDBEFDG, ABCDBEFEA, ABCDBEFEB, ABCDBEFEC, ABCDBEFED, ABCDBEFEE, ABCDBEFEF, ABCDBEFEG, ABCDBEFFA, ABCDBEFFB, ABCDBEFFC, ABCDBEFFD, ABCDBEFFE, ABCDBEFFF, ABCDBEFFG, ABCDBEFGA, ABCDBEFGB, ABCDBEFGC, ABCDBEFGD, ABCDBEFGE, ABCDBEFGF, ABCDBEFGG, ABCDBEFGH, ABCDCAAAA, ABCDCAAAB, ABCDCAAAC, ABCDCAAAD, ABCDCAAAE, ABCDCAABA, ABCDCAABB, ABCDCAABC, ABCDCAABD, ABCDCAABE, ABCDCAACA, ABCDCAACB, ABCDCAACC, ABCDCAACD, ABCDCAACE, ABCDCAADA, ABCDCAADB, ABCDCAADC, ABCDCAADD, ABCDCAADE, ABCDCAAEA, ABCDCAAEB, ABCDCAAEC, ABCDCAAED, ABCDCAAEE, ABCDCAAEF, ABCDCABAA, ABCDCABAB, ABCDCABAC, ABCDCABAD, ABCDCABAE, ABCDCABBA, ABCDCABBB, ABCDCABBC, ABCDCABBD, ABCDCABBE, ABCDCABCA, ABCDCABCB, ABCDCABCC, ABCDCABCD, ABCDCABCE, ABCDCABDA, ABCDCABDB, ABCDCABDC, ABCDCABDD, ABCDCABDE, ABCDCABEA, ABCDCABEB, ABCDCABEC, ABCDCABED, ABCDCABEE, ABCDCABEF, ABCDCACAA, ABCDCACAB, ABCDCACAC, ABCDCACAD, ABCDCACAE, ABCDCACBA, ABCDCACBB, ABCDCACBC, ABCDCACBD, ABCDCACBE, ABCDCACCA, ABCDCACCB, ABCDCACCC, ABCDCACCD, ABCDCACCE, ABCDCACDA, ABCDCACDB, ABCDCACDC, ABCDCACDD, ABCDCACDE, ABCDCACEA, ABCDCACEB, ABCDCACEC, ABCDCACED, ABCDCACEE, ABCDCACEF, ABCDCADAA, ABCDCADAB, ABCDCADAC, ABCDCADAD, ABCDCADAE, ABCDCADBA, ABCDCADBB, ABCDCADBC, ABCDCADBD, ABCDCADBE, ABCDCADCA, ABCDCADCB, ABCDCADCC, ABCDCADCD, ABCDCADCE, ABCDCADDA, ABCDCADDB, ABCDCADDC, ABCDCADDD, ABCDCADDE, ABCDCADEA, ABCDCADEB, 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ABCDCBBEE, ABCDCBBEF, ABCDCBCAA, ABCDCBCAB, ABCDCBCAC, ABCDCBCAD, ABCDCBCAE, ABCDCBCBA, ABCDCBCBB, ABCDCBCBC, ABCDCBCBD, ABCDCBCBE, ABCDCBCCA, ABCDCBCCB, ABCDCBCCC, ABCDCBCCD, ABCDCBCCE, ABCDCBCDA, ABCDCBCDB, ABCDCBCDC, ABCDCBCDD, ABCDCBCDE, ABCDCBCEA, ABCDCBCEB, ABCDCBCEC, ABCDCBCED, ABCDCBCEE, ABCDCBCEF, ABCDCBDAA, ABCDCBDAB, ABCDCBDAC, ABCDCBDAD, ABCDCBDAE, ABCDCBDBA, ABCDCBDBB, ABCDCBDBC, ABCDCBDBD, ABCDCBDBE, ABCDCBDCA, ABCDCBDCB, ABCDCBDCC, ABCDCBDCD, ABCDCBDCE, ABCDCBDDA, ABCDCBDDB, ABCDCBDDC, ABCDCBDDD, ABCDCBDDE, ABCDCBDEA, ABCDCBDEB, ABCDCBDEC, ABCDCBDED, ABCDCBDEE, ABCDCBDEF, ABCDCBEAA, ABCDCBEAB, ABCDCBEAC, ABCDCBEAD, ABCDCBEAE, ABCDCBEAF, ABCDCBEBA, ABCDCBEBB, ABCDCBEBC, ABCDCBEBD, ABCDCBEBE, ABCDCBEBF, ABCDCBECA, ABCDCBECB, ABCDCBECC, ABCDCBECD, ABCDCBECE, ABCDCBECF, ABCDCBEDA, ABCDCBEDB, ABCDCBEDC, ABCDCBEDD, ABCDCBEDE, ABCDCBEDF, ABCDCBEEA, ABCDCBEEB, ABCDCBEEC, ABCDCBEED, ABCDCBEEE, ABCDCBEEF, ABCDCBEFA, ABCDCBEFB, ABCDCBEFC, ABCDCBEFD, ABCDCBEFE, ABCDCBEFF, ABCDCBEFG, ABCDCCAAA, ABCDCCAAB, ABCDCCAAC, ABCDCCAAD, ABCDCCAAE, ABCDCCABA, ABCDCCABB, ABCDCCABC, ABCDCCABD, ABCDCCABE, ABCDCCACA, ABCDCCACB, ABCDCCACC, ABCDCCACD, ABCDCCACE, ABCDCCADA, ABCDCCADB, ABCDCCADC, ABCDCCADD, ABCDCCADE, ABCDCCAEA, ABCDCCAEB, ABCDCCAEC, ABCDCCAED, ABCDCCAEE, ABCDCCAEF, ABCDCCBAA, ABCDCCBAB, ABCDCCBAC, ABCDCCBAD, ABCDCCBAE, ABCDCCBBA, ABCDCCBBB, ABCDCCBBC, ABCDCCBBD, ABCDCCBBE, ABCDCCBCA, ABCDCCBCB, ABCDCCBCC, ABCDCCBCD, ABCDCCBCE, ABCDCCBDA, ABCDCCBDB, ABCDCCBDC, ABCDCCBDD, ABCDCCBDE, ABCDCCBEA, ABCDCCBEB, ABCDCCBEC, ABCDCCBED, ABCDCCBEE, ABCDCCBEF, ABCDCCCAA, ABCDCCCAB, ABCDCCCAC, ABCDCCCAD, ABCDCCCAE, ABCDCCCBA, ABCDCCCBB, ABCDCCCBC, ABCDCCCBD, ABCDCCCBE, ABCDCCCCA, ABCDCCCCB, ABCDCCCCC, ABCDCCCCD, ABCDCCCCE, ABCDCCCDA, ABCDCCCDB, ABCDCCCDC, ABCDCCCDD, ABCDCCCDE, ABCDCCCEA, ABCDCCCEB, ABCDCCCEC, ABCDCCCED, ABCDCCCEE, ABCDCCCEF, ABCDCCDAA, ABCDCCDAB, ABCDCCDAC, ABCDCCDAD, ABCDCCDAE, ABCDCCDBA, ABCDCCDBB, ABCDCCDBC, ABCDCCDBD, ABCDCCDBE, ABCDCCDCA, ABCDCCDCB, ABCDCCDCC, ABCDCCDCD, ABCDCCDCE, ABCDCCDDA, ABCDCCDDB, ABCDCCDDC, ABCDCCDDD, ABCDCCDDE, ABCDCCDEA, ABCDCCDEB, ABCDCCDEC, ABCDCCDED, ABCDCCDEE, ABCDCCDEF, ABCDCCEAA, ABCDCCEAB, ABCDCCEAC, ABCDCCEAD, ABCDCCEAE, ABCDCCEAF, ABCDCCEBA, ABCDCCEBB, ABCDCCEBC, ABCDCCEBD, ABCDCCEBE, ABCDCCEBF, ABCDCCECA, ABCDCCECB, ABCDCCECC, ABCDCCECD, ABCDCCECE, ABCDCCECF, ABCDCCEDA, ABCDCCEDB, ABCDCCEDC, ABCDCCEDD, ABCDCCEDE, ABCDCCEDF, ABCDCCEEA, ABCDCCEEB, ABCDCCEEC, ABCDCCEED, ABCDCCEEE, ABCDCCEEF, ABCDCCEFA, ABCDCCEFB, ABCDCCEFC, ABCDCCEFD, ABCDCCEFE, ABCDCCEFF, ABCDCCEFG, ABCDCDAAA, ABCDCDAAB, ABCDCDAAC, ABCDCDAAD, ABCDCDAAE, ABCDCDABA, ABCDCDABB, ABCDCDABC, ABCDCDABD, ABCDCDABE, ABCDCDACA, ABCDCDACB, ABCDCDACC, ABCDCDACD, ABCDCDACE, ABCDCDADA, ABCDCDADB, ABCDCDADC, ABCDCDADD, ABCDCDADE, ABCDCDAEA, ABCDCDAEB, ABCDCDAEC, ABCDCDAED, ABCDCDAEE, ABCDCDAEF, ABCDCDBAA, ABCDCDBAB, ABCDCDBAC, ABCDCDBAD, ABCDCDBAE, ABCDCDBBA, ABCDCDBBB, ABCDCDBBC, ABCDCDBBD, ABCDCDBBE, ABCDCDBCA, ABCDCDBCB, ABCDCDBCC, ABCDCDBCD, ABCDCDBCE, ABCDCDBDA, ABCDCDBDB, ABCDCDBDC, ABCDCDBDD, ABCDCDBDE, ABCDCDBEA, ABCDCDBEB, ABCDCDBEC, ABCDCDBED, ABCDCDBEE, ABCDCDBEF, ABCDCDCAA, ABCDCDCAB, ABCDCDCAC, ABCDCDCAD, ABCDCDCAE, ABCDCDCBA, ABCDCDCBB, ABCDCDCBC, ABCDCDCBD, ABCDCDCBE, ABCDCDCCA, ABCDCDCCB, ABCDCDCCC, ABCDCDCCD, ABCDCDCCE, ABCDCDCDA, ABCDCDCDB, ABCDCDCDC, ABCDCDCDD, ABCDCDCDE, ABCDCDCEA, ABCDCDCEB, ABCDCDCEC, ABCDCDCED, ABCDCDCEE, ABCDCDCEF, ABCDCDDAA, ABCDCDDAB, ABCDCDDAC, ABCDCDDAD, ABCDCDDAE, ABCDCDDBA, ABCDCDDBB, ABCDCDDBC, ABCDCDDBD, ABCDCDDBE, ABCDCDDCA, ABCDCDDCB, ABCDCDDCC, ABCDCDDCD, ABCDCDDCE, ABCDCDDDA, ABCDCDDDB, ABCDCDDDC, ABCDCDDDD, ABCDCDDDE, ABCDCDDEA, ABCDCDDEB, ABCDCDDEC, ABCDCDDED, ABCDCDDEE, ABCDCDDEF, ABCDCDEAA, ABCDCDEAB, ABCDCDEAC, ABCDCDEAD, ABCDCDEAE, ABCDCDEAF, ABCDCDEBA, ABCDCDEBB, ABCDCDEBC, ABCDCDEBD, ABCDCDEBE, ABCDCDEBF, ABCDCDECA, ABCDCDECB, ABCDCDECC, ABCDCDECD, ABCDCDECE, ABCDCDECF, ABCDCDEDA, ABCDCDEDB, ABCDCDEDC, ABCDCDEDD, ABCDCDEDE, ABCDCDEDF, ABCDCDEEA, ABCDCDEEB, ABCDCDEEC, ABCDCDEED, ABCDCDEEE, ABCDCDEEF, ABCDCDEFA, ABCDCDEFB, ABCDCDEFC, ABCDCDEFD, ABCDCDEFE, ABCDCDEFF, ABCDCDEFG, ABCDCEAAA, ABCDCEAAB, ABCDCEAAC, ABCDCEAAD, ABCDCEAAE, ABCDCEAAF, ABCDCEABA, ABCDCEABB, ABCDCEABC, ABCDCEABD, ABCDCEABE, ABCDCEABF, ABCDCEACA, ABCDCEACB, ABCDCEACC, ABCDCEACD, ABCDCEACE, ABCDCEACF, ABCDCEADA, ABCDCEADB, ABCDCEADC, ABCDCEADD, ABCDCEADE, ABCDCEADF, ABCDCEAEA, ABCDCEAEB, ABCDCEAEC, ABCDCEAED, ABCDCEAEE, ABCDCEAEF, ABCDCEAFA, ABCDCEAFB, ABCDCEAFC, ABCDCEAFD, ABCDCEAFE, ABCDCEAFF, ABCDCEAFG, ABCDCEBAA, ABCDCEBAB, ABCDCEBAC, ABCDCEBAD, ABCDCEBAE, ABCDCEBAF, ABCDCEBBA, ABCDCEBBB, ABCDCEBBC, ABCDCEBBD, ABCDCEBBE, ABCDCEBBF, ABCDCEBCA, ABCDCEBCB, ABCDCEBCC, ABCDCEBCD, ABCDCEBCE, ABCDCEBCF, ABCDCEBDA, ABCDCEBDB, ABCDCEBDC, ABCDCEBDD, ABCDCEBDE, ABCDCEBDF, ABCDCEBEA, ABCDCEBEB, ABCDCEBEC, ABCDCEBED, ABCDCEBEE, ABCDCEBEF, ABCDCEBFA, ABCDCEBFB, ABCDCEBFC, ABCDCEBFD, ABCDCEBFE, ABCDCEBFF, ABCDCEBFG, ABCDCECAA, ABCDCECAB, ABCDCECAC, ABCDCECAD, ABCDCECAE, ABCDCECAF, ABCDCECBA, ABCDCECBB, ABCDCECBC, ABCDCECBD, ABCDCECBE, ABCDCECBF, ABCDCECCA, ABCDCECCB, ABCDCECCC, ABCDCECCD, ABCDCECCE, ABCDCECCF, ABCDCECDA, ABCDCECDB, ABCDCECDC, ABCDCECDD, ABCDCECDE, ABCDCECDF, ABCDCECEA, ABCDCECEB, ABCDCECEC, ABCDCECED, ABCDCECEE, ABCDCECEF, ABCDCECFA, ABCDCECFB, ABCDCECFC, ABCDCECFD, ABCDCECFE, ABCDCECFF, ABCDCECFG, ABCDCEDAA, ABCDCEDAB, ABCDCEDAC, ABCDCEDAD, ABCDCEDAE, ABCDCEDAF, ABCDCEDBA, ABCDCEDBB, ABCDCEDBC, ABCDCEDBD, ABCDCEDBE, ABCDCEDBF, ABCDCEDCA, ABCDCEDCB, ABCDCEDCC, ABCDCEDCD, ABCDCEDCE, ABCDCEDCF, ABCDCEDDA, ABCDCEDDB, ABCDCEDDC, ABCDCEDDD, ABCDCEDDE, ABCDCEDDF, ABCDCEDEA, ABCDCEDEB, ABCDCEDEC, ABCDCEDED, ABCDCEDEE, ABCDCEDEF, ABCDCEDFA, ABCDCEDFB, ABCDCEDFC, ABCDCEDFD, ABCDCEDFE, ABCDCEDFF, ABCDCEDFG, ABCDCEEAA, ABCDCEEAB, ABCDCEEAC, ABCDCEEAD, ABCDCEEAE, ABCDCEEAF, ABCDCEEBA, ABCDCEEBB, ABCDCEEBC, ABCDCEEBD, ABCDCEEBE, ABCDCEEBF, ABCDCEECA, ABCDCEECB, ABCDCEECC, ABCDCEECD, ABCDCEECE, ABCDCEECF, ABCDCEEDA, ABCDCEEDB, ABCDCEEDC, ABCDCEEDD, ABCDCEEDE, ABCDCEEDF, ABCDCEEEA, ABCDCEEEB, ABCDCEEEC, ABCDCEEED, ABCDCEEEE, ABCDCEEEF, ABCDCEEFA, ABCDCEEFB, ABCDCEEFC, ABCDCEEFD, ABCDCEEFE, ABCDCEEFF, ABCDCEEFG, ABCDCEFAA, ABCDCEFAB, ABCDCEFAC, ABCDCEFAD, ABCDCEFAE, ABCDCEFAF, ABCDCEFAG, ABCDCEFBA, ABCDCEFBB, ABCDCEFBC, ABCDCEFBD, ABCDCEFBE, ABCDCEFBF, ABCDCEFBG, ABCDCEFCA, ABCDCEFCB, ABCDCEFCC, ABCDCEFCD, ABCDCEFCE, ABCDCEFCF, ABCDCEFCG, ABCDCEFDA, ABCDCEFDB, ABCDCEFDC, ABCDCEFDD, ABCDCEFDE, ABCDCEFDF, ABCDCEFDG, ABCDCEFEA, ABCDCEFEB, ABCDCEFEC, ABCDCEFED, ABCDCEFEE, ABCDCEFEF, ABCDCEFEG, ABCDCEFFA, ABCDCEFFB, ABCDCEFFC, ABCDCEFFD, ABCDCEFFE, ABCDCEFFF, ABCDCEFFG, ABCDCEFGA, ABCDCEFGB, ABCDCEFGC, ABCDCEFGD, ABCDCEFGE, ABCDCEFGF, ABCDCEFGG, ABCDCEFGH, ABCDDAAAA, ABCDDAAAB, ABCDDAAAC, ABCDDAAAD, ABCDDAAAE, ABCDDAABA, ABCDDAABB, ABCDDAABC, ABCDDAABD, ABCDDAABE, ABCDDAACA, ABCDDAACB, ABCDDAACC, ABCDDAACD, ABCDDAACE, ABCDDAADA, ABCDDAADB, ABCDDAADC, ABCDDAADD, ABCDDAADE, ABCDDAAEA, ABCDDAAEB, ABCDDAAEC, ABCDDAAED, ABCDDAAEE, ABCDDAAEF, ABCDDABAA, ABCDDABAB, ABCDDABAC, ABCDDABAD, ABCDDABAE, ABCDDABBA, ABCDDABBB, ABCDDABBC, ABCDDABBD, ABCDDABBE, ABCDDABCA, ABCDDABCB, ABCDDABCC, ABCDDABCD, ABCDDABCE, ABCDDABDA, ABCDDABDB, ABCDDABDC, ABCDDABDD, ABCDDABDE, ABCDDABEA, ABCDDABEB, ABCDDABEC, ABCDDABED, ABCDDABEE, ABCDDABEF, ABCDDACAA, ABCDDACAB, ABCDDACAC, ABCDDACAD, ABCDDACAE, ABCDDACBA, ABCDDACBB, ABCDDACBC, ABCDDACBD, ABCDDACBE, ABCDDACCA, ABCDDACCB, ABCDDACCC, ABCDDACCD, ABCDDACCE, ABCDDACDA, ABCDDACDB, ABCDDACDC, ABCDDACDD, ABCDDACDE, ABCDDACEA, ABCDDACEB, ABCDDACEC, ABCDDACED, ABCDDACEE, ABCDDACEF, ABCDDADAA, ABCDDADAB, ABCDDADAC, ABCDDADAD, ABCDDADAE, ABCDDADBA, ABCDDADBB, ABCDDADBC, ABCDDADBD, ABCDDADBE, ABCDDADCA, ABCDDADCB, ABCDDADCC, ABCDDADCD, ABCDDADCE, ABCDDADDA, ABCDDADDB, ABCDDADDC, ABCDDADDD, ABCDDADDE, ABCDDADEA, ABCDDADEB, ABCDDADEC, ABCDDADED, ABCDDADEE, ABCDDADEF, ABCDDAEAA, ABCDDAEAB, ABCDDAEAC, ABCDDAEAD, ABCDDAEAE, ABCDDAEAF, ABCDDAEBA, ABCDDAEBB, ABCDDAEBC, ABCDDAEBD, ABCDDAEBE, ABCDDAEBF, ABCDDAECA, ABCDDAECB, ABCDDAECC, ABCDDAECD, ABCDDAECE, ABCDDAECF, ABCDDAEDA, ABCDDAEDB, ABCDDAEDC, ABCDDAEDD, ABCDDAEDE, ABCDDAEDF, ABCDDAEEA, ABCDDAEEB, ABCDDAEEC, ABCDDAEED, ABCDDAEEE, ABCDDAEEF, ABCDDAEFA, ABCDDAEFB, ABCDDAEFC, ABCDDAEFD, ABCDDAEFE, ABCDDAEFF, ABCDDAEFG, ABCDDBAAA, ABCDDBAAB, ABCDDBAAC, ABCDDBAAD, ABCDDBAAE, ABCDDBABA, ABCDDBABB, ABCDDBABC, ABCDDBABD, ABCDDBABE, ABCDDBACA, ABCDDBACB, ABCDDBACC, ABCDDBACD, ABCDDBACE, ABCDDBADA, ABCDDBADB, ABCDDBADC, ABCDDBADD, ABCDDBADE, ABCDDBAEA, ABCDDBAEB, ABCDDBAEC, ABCDDBAED, ABCDDBAEE, ABCDDBAEF, ABCDDBBAA, ABCDDBBAB, ABCDDBBAC, ABCDDBBAD, ABCDDBBAE, ABCDDBBBA, ABCDDBBBB, ABCDDBBBC, ABCDDBBBD, ABCDDBBBE, ABCDDBBCA, ABCDDBBCB, ABCDDBBCC, ABCDDBBCD, ABCDDBBCE, ABCDDBBDA, ABCDDBBDB, ABCDDBBDC, ABCDDBBDD, ABCDDBBDE, ABCDDBBEA, ABCDDBBEB, ABCDDBBEC, ABCDDBBED, ABCDDBBEE, ABCDDBBEF, ABCDDBCAA, ABCDDBCAB, ABCDDBCAC, ABCDDBCAD, ABCDDBCAE, ABCDDBCBA, ABCDDBCBB, ABCDDBCBC, ABCDDBCBD, ABCDDBCBE, ABCDDBCCA, ABCDDBCCB, ABCDDBCCC, ABCDDBCCD, ABCDDBCCE, ABCDDBCDA, ABCDDBCDB, ABCDDBCDC, ABCDDBCDD, ABCDDBCDE, ABCDDBCEA, ABCDDBCEB, ABCDDBCEC, ABCDDBCED, ABCDDBCEE, ABCDDBCEF, ABCDDBDAA, ABCDDBDAB, ABCDDBDAC, ABCDDBDAD, ABCDDBDAE, ABCDDBDBA, ABCDDBDBB, ABCDDBDBC, ABCDDBDBD, ABCDDBDBE, ABCDDBDCA, ABCDDBDCB, ABCDDBDCC, ABCDDBDCD, ABCDDBDCE, ABCDDBDDA, ABCDDBDDB, ABCDDBDDC, ABCDDBDDD, ABCDDBDDE, ABCDDBDEA, ABCDDBDEB, ABCDDBDEC, ABCDDBDED, ABCDDBDEE, ABCDDBDEF, ABCDDBEAA, ABCDDBEAB, ABCDDBEAC, ABCDDBEAD, ABCDDBEAE, ABCDDBEAF, ABCDDBEBA, ABCDDBEBB, ABCDDBEBC, ABCDDBEBD, ABCDDBEBE, ABCDDBEBF, ABCDDBECA, ABCDDBECB, ABCDDBECC, ABCDDBECD, ABCDDBECE, ABCDDBECF, ABCDDBEDA, ABCDDBEDB, ABCDDBEDC, ABCDDBEDD, ABCDDBEDE, ABCDDBEDF, ABCDDBEEA, ABCDDBEEB, ABCDDBEEC, ABCDDBEED, ABCDDBEEE, ABCDDBEEF, ABCDDBEFA, ABCDDBEFB, ABCDDBEFC, ABCDDBEFD, ABCDDBEFE, ABCDDBEFF, ABCDDBEFG, ABCDDCAAA, ABCDDCAAB, ABCDDCAAC, ABCDDCAAD, ABCDDCAAE, ABCDDCABA, ABCDDCABB, ABCDDCABC, ABCDDCABD, ABCDDCABE, ABCDDCACA, ABCDDCACB, ABCDDCACC, ABCDDCACD, ABCDDCACE, ABCDDCADA, ABCDDCADB, ABCDDCADC, ABCDDCADD, ABCDDCADE, ABCDDCAEA, ABCDDCAEB, ABCDDCAEC, ABCDDCAED, ABCDDCAEE, ABCDDCAEF, ABCDDCBAA, ABCDDCBAB, ABCDDCBAC, ABCDDCBAD, ABCDDCBAE, ABCDDCBBA, ABCDDCBBB, ABCDDCBBC, ABCDDCBBD, ABCDDCBBE, ABCDDCBCA, ABCDDCBCB, ABCDDCBCC, ABCDDCBCD, ABCDDCBCE, ABCDDCBDA, ABCDDCBDB, ABCDDCBDC, ABCDDCBDD, ABCDDCBDE, ABCDDCBEA, ABCDDCBEB, ABCDDCBEC, ABCDDCBED, ABCDDCBEE, ABCDDCBEF, ABCDDCCAA, ABCDDCCAB, ABCDDCCAC, ABCDDCCAD, ABCDDCCAE, ABCDDCCBA, ABCDDCCBB, ABCDDCCBC, ABCDDCCBD, ABCDDCCBE, ABCDDCCCA, ABCDDCCCB, ABCDDCCCC, ABCDDCCCD, ABCDDCCCE, ABCDDCCDA, ABCDDCCDB, ABCDDCCDC, ABCDDCCDD, ABCDDCCDE, ABCDDCCEA, ABCDDCCEB, ABCDDCCEC, ABCDDCCED, ABCDDCCEE, ABCDDCCEF, ABCDDCDAA, ABCDDCDAB, ABCDDCDAC, ABCDDCDAD, ABCDDCDAE, ABCDDCDBA, ABCDDCDBB, ABCDDCDBC, ABCDDCDBD, ABCDDCDBE, ABCDDCDCA, ABCDDCDCB, ABCDDCDCC, ABCDDCDCD, ABCDDCDCE, ABCDDCDDA, ABCDDCDDB, ABCDDCDDC, ABCDDCDDD, ABCDDCDDE, ABCDDCDEA, ABCDDCDEB, ABCDDCDEC, ABCDDCDED, ABCDDCDEE, ABCDDCDEF, ABCDDCEAA, ABCDDCEAB, ABCDDCEAC, ABCDDCEAD, ABCDDCEAE, ABCDDCEAF, ABCDDCEBA, ABCDDCEBB, ABCDDCEBC, ABCDDCEBD, ABCDDCEBE, ABCDDCEBF, ABCDDCECA, ABCDDCECB, ABCDDCECC, ABCDDCECD, ABCDDCECE, ABCDDCECF, ABCDDCEDA, ABCDDCEDB, ABCDDCEDC, ABCDDCEDD, ABCDDCEDE, ABCDDCEDF, ABCDDCEEA, ABCDDCEEB, ABCDDCEEC, ABCDDCEED, ABCDDCEEE, ABCDDCEEF, ABCDDCEFA, ABCDDCEFB, ABCDDCEFC, ABCDDCEFD, ABCDDCEFE, ABCDDCEFF, ABCDDCEFG, ABCDDDAAA, ABCDDDAAB, ABCDDDAAC, ABCDDDAAD, ABCDDDAAE, ABCDDDABA, ABCDDDABB, ABCDDDABC, ABCDDDABD, ABCDDDABE, ABCDDDACA, ABCDDDACB, ABCDDDACC, ABCDDDACD, ABCDDDACE, ABCDDDADA, ABCDDDADB, ABCDDDADC, ABCDDDADD, ABCDDDADE, ABCDDDAEA, ABCDDDAEB, ABCDDDAEC, ABCDDDAED, ABCDDDAEE, ABCDDDAEF, ABCDDDBAA, ABCDDDBAB, ABCDDDBAC, ABCDDDBAD, ABCDDDBAE, ABCDDDBBA, ABCDDDBBB, ABCDDDBBC, ABCDDDBBD, ABCDDDBBE, ABCDDDBCA, ABCDDDBCB, ABCDDDBCC, ABCDDDBCD, ABCDDDBCE, ABCDDDBDA, ABCDDDBDB, ABCDDDBDC, ABCDDDBDD, ABCDDDBDE, ABCDDDBEA, ABCDDDBEB, ABCDDDBEC, ABCDDDBED, ABCDDDBEE, ABCDDDBEF, ABCDDDCAA, ABCDDDCAB, ABCDDDCAC, ABCDDDCAD, ABCDDDCAE, ABCDDDCBA, ABCDDDCBB, ABCDDDCBC, ABCDDDCBD, ABCDDDCBE, ABCDDDCCA, ABCDDDCCB, ABCDDDCCC, ABCDDDCCD, ABCDDDCCE, ABCDDDCDA, ABCDDDCDB, ABCDDDCDC, ABCDDDCDD, ABCDDDCDE, ABCDDDCEA, ABCDDDCEB, ABCDDDCEC, ABCDDDCED, ABCDDDCEE, ABCDDDCEF, ABCDDDDAA, ABCDDDDAB, ABCDDDDAC, ABCDDDDAD, ABCDDDDAE, ABCDDDDBA, ABCDDDDBB, ABCDDDDBC, ABCDDDDBD, ABCDDDDBE, ABCDDDDCA, ABCDDDDCB, ABCDDDDCC, ABCDDDDCD, ABCDDDDCE, ABCDDDDDA, ABCDDDDDB, ABCDDDDDC, ABCDDDDDD, ABCDDDDDE, ABCDDDDEA, ABCDDDDEB, ABCDDDDEC, ABCDDDDED, ABCDDDDEE, ABCDDDDEF, ABCDDDEAA, ABCDDDEAB, ABCDDDEAC, ABCDDDEAD, ABCDDDEAE, ABCDDDEAF, ABCDDDEBA, ABCDDDEBB, ABCDDDEBC, ABCDDDEBD, ABCDDDEBE, ABCDDDEBF, ABCDDDECA, ABCDDDECB, ABCDDDECC, ABCDDDECD, ABCDDDECE, ABCDDDECF, ABCDDDEDA, ABCDDDEDB, ABCDDDEDC, ABCDDDEDD, ABCDDDEDE, ABCDDDEDF, ABCDDDEEA, ABCDDDEEB, ABCDDDEEC, ABCDDDEED, ABCDDDEEE, ABCDDDEEF, ABCDDDEFA, ABCDDDEFB, ABCDDDEFC, ABCDDDEFD, ABCDDDEFE, ABCDDDEFF, ABCDDDEFG, ABCDDEAAA, ABCDDEAAB, ABCDDEAAC, ABCDDEAAD, ABCDDEAAE, ABCDDEAAF, ABCDDEABA, ABCDDEABB, ABCDDEABC, ABCDDEABD, ABCDDEABE, ABCDDEABF, ABCDDEACA, ABCDDEACB, ABCDDEACC, ABCDDEACD, ABCDDEACE, ABCDDEACF, ABCDDEADA, ABCDDEADB, ABCDDEADC, ABCDDEADD, ABCDDEADE, ABCDDEADF, ABCDDEAEA, ABCDDEAEB, ABCDDEAEC, ABCDDEAED, ABCDDEAEE, ABCDDEAEF, ABCDDEAFA, ABCDDEAFB, ABCDDEAFC, ABCDDEAFD, ABCDDEAFE, ABCDDEAFF, ABCDDEAFG, ABCDDEBAA, ABCDDEBAB, ABCDDEBAC, ABCDDEBAD, ABCDDEBAE, ABCDDEBAF, ABCDDEBBA, ABCDDEBBB, ABCDDEBBC, ABCDDEBBD, ABCDDEBBE, ABCDDEBBF, ABCDDEBCA, ABCDDEBCB, ABCDDEBCC, ABCDDEBCD, ABCDDEBCE, ABCDDEBCF, ABCDDEBDA, ABCDDEBDB, ABCDDEBDC, ABCDDEBDD, ABCDDEBDE, ABCDDEBDF, ABCDDEBEA, ABCDDEBEB, ABCDDEBEC, ABCDDEBED, ABCDDEBEE, ABCDDEBEF, ABCDDEBFA, ABCDDEBFB, ABCDDEBFC, ABCDDEBFD, ABCDDEBFE, ABCDDEBFF, ABCDDEBFG, ABCDDECAA, ABCDDECAB, ABCDDECAC, ABCDDECAD, ABCDDECAE, ABCDDECAF, ABCDDECBA, ABCDDECBB, ABCDDECBC, ABCDDECBD, ABCDDECBE, ABCDDECBF, ABCDDECCA, ABCDDECCB, ABCDDECCC, ABCDDECCD, ABCDDECCE, ABCDDECCF, ABCDDECDA, ABCDDECDB, ABCDDECDC, ABCDDECDD, ABCDDECDE, ABCDDECDF, ABCDDECEA, ABCDDECEB, ABCDDECEC, ABCDDECED, ABCDDECEE, ABCDDECEF, ABCDDECFA, ABCDDECFB, ABCDDECFC, ABCDDECFD, ABCDDECFE, ABCDDECFF, ABCDDECFG, ABCDDEDAA, ABCDDEDAB, ABCDDEDAC, ABCDDEDAD, ABCDDEDAE, ABCDDEDAF, ABCDDEDBA, ABCDDEDBB, ABCDDEDBC, ABCDDEDBD, ABCDDEDBE, ABCDDEDBF, ABCDDEDCA, ABCDDEDCB, ABCDDEDCC, ABCDDEDCD, ABCDDEDCE, ABCDDEDCF, ABCDDEDDA, ABCDDEDDB, ABCDDEDDC, ABCDDEDDD, ABCDDEDDE, ABCDDEDDF, ABCDDEDEA, ABCDDEDEB, ABCDDEDEC, ABCDDEDED, ABCDDEDEE, ABCDDEDEF, ABCDDEDFA, ABCDDEDFB, ABCDDEDFC, ABCDDEDFD, ABCDDEDFE, ABCDDEDFF, ABCDDEDFG, ABCDDEEAA, ABCDDEEAB, ABCDDEEAC, ABCDDEEAD, ABCDDEEAE, ABCDDEEAF, ABCDDEEBA, ABCDDEEBB, ABCDDEEBC, ABCDDEEBD, ABCDDEEBE, ABCDDEEBF, ABCDDEECA, ABCDDEECB, ABCDDEECC, ABCDDEECD, ABCDDEECE, ABCDDEECF, ABCDDEEDA, ABCDDEEDB, ABCDDEEDC, ABCDDEEDD, ABCDDEEDE, ABCDDEEDF, ABCDDEEEA, ABCDDEEEB, ABCDDEEEC, ABCDDEEED, ABCDDEEEE, ABCDDEEEF, ABCDDEEFA, ABCDDEEFB, ABCDDEEFC, ABCDDEEFD, ABCDDEEFE, ABCDDEEFF, ABCDDEEFG, ABCDDEFAA, ABCDDEFAB, ABCDDEFAC, ABCDDEFAD, ABCDDEFAE, ABCDDEFAF, ABCDDEFAG, ABCDDEFBA, 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ABCDEFGDG, ABCDEFGDH, ABCDEFGEA, ABCDEFGEB, ABCDEFGEC, ABCDEFGED, ABCDEFGEE, ABCDEFGEF, ABCDEFGEG, ABCDEFGEH, ABCDEFGFA, ABCDEFGFB, ABCDEFGFC, ABCDEFGFD, ABCDEFGFE, ABCDEFGFF, ABCDEFGFG, ABCDEFGFH, ABCDEFGGA, ABCDEFGGB, ABCDEFGGC, ABCDEFGGD, ABCDEFGGE, ABCDEFGGF, ABCDEFGGG, ABCDEFGGH, ABCDEFGHA, ABCDEFGHB, ABCDEFGHC, ABCDEFGHD, ABCDEFGHE, ABCDEFGHF, ABCDEFGHG, ABCDEFGHH, ABCDEFGHI

n = 10

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AAAABCDDDB, AAAABCDDDC, AAAABCDDDD, AAAABCDDDE, AAAABCDDEA, AAAABCDDEB, AAAABCDDEC, AAAABCDDED, AAAABCDDEE, AAAABCDDEF, AAAABCDEAA, AAAABCDEAB, AAAABCDEAC, AAAABCDEAD, AAAABCDEAE, AAAABCDEAF, AAAABCDEBA, AAAABCDEBB, AAAABCDEBC, AAAABCDEBD, AAAABCDEBE, AAAABCDEBF, AAAABCDECA, AAAABCDECB, AAAABCDECC, AAAABCDECD, AAAABCDECE, AAAABCDECF, AAAABCDEDA, AAAABCDEDB, AAAABCDEDC, AAAABCDEDD, AAAABCDEDE, AAAABCDEDF, AAAABCDEEA, AAAABCDEEB, AAAABCDEEC, AAAABCDEED, AAAABCDEEE, AAAABCDEEF, AAAABCDEFA, AAAABCDEFB, AAAABCDEFC, AAAABCDEFD, AAAABCDEFE, AAAABCDEFF, AAAABCDEFG, AAABAAAAAA, AAABAAAAAB, AAABAAAAAC, AAABAAAABA, AAABAAAABB, AAABAAAABC, AAABAAAACA, AAABAAAACB, AAABAAAACC, AAABAAAACD, AAABAAABAA, AAABAAABAB, AAABAAABAC, AAABAAABBA, AAABAAABBB, AAABAAABBC, AAABAAABCA, AAABAAABCB, AAABAAABCC, AAABAAABCD, AAABAAACAA, AAABAAACAB, AAABAAACAC, AAABAAACAD, AAABAAACBA, AAABAAACBB, AAABAAACBC, AAABAAACBD, AAABAAACCA, AAABAAACCB, AAABAAACCC, AAABAAACCD, AAABAAACDA, AAABAAACDB, AAABAAACDC, AAABAAACDD, 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AAABAACCCD, AAABAACCDA, AAABAACCDB, AAABAACCDC, AAABAACCDD, AAABAACCDE, AAABAACDAA, AAABAACDAB, AAABAACDAC, AAABAACDAD, AAABAACDAE, AAABAACDBA, AAABAACDBB, AAABAACDBC, AAABAACDBD, AAABAACDBE, AAABAACDCA, AAABAACDCB, AAABAACDCC, AAABAACDCD, AAABAACDCE, AAABAACDDA, AAABAACDDB, AAABAACDDC, AAABAACDDD, AAABAACDDE, AAABAACDEA, AAABAACDEB, AAABAACDEC, AAABAACDED, AAABAACDEE, AAABAACDEF, AAABABAAAA, AAABABAAAB, AAABABAAAC, AAABABAABA, AAABABAABB, AAABABAABC, AAABABAACA, AAABABAACB, AAABABAACC, AAABABAACD, AAABABABAA, AAABABABAB, AAABABABAC, AAABABABBA, AAABABABBB, AAABABABBC, AAABABABCA, AAABABABCB, AAABABABCC, AAABABABCD, AAABABACAA, AAABABACAB, AAABABACAC, AAABABACAD, AAABABACBA, AAABABACBB, AAABABACBC, AAABABACBD, AAABABACCA, AAABABACCB, AAABABACCC, AAABABACCD, AAABABACDA, AAABABACDB, AAABABACDC, AAABABACDD, AAABABACDE, AAABABBAAA, AAABABBAAB, AAABABBAAC, AAABABBABA, AAABABBABB, AAABABBABC, AAABABBACA, AAABABBACB, AAABABBACC, AAABABBACD, AAABABBBAA, AAABABBBAB, AAABABBBAC, AAABABBBBA, 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ABAACDAEDF, ABAACDAEEA, ABAACDAEEB, ABAACDAEEC, ABAACDAEED, ABAACDAEEE, ABAACDAEEF, ABAACDAEFA, ABAACDAEFB, ABAACDAEFC, ABAACDAEFD, ABAACDAEFE, ABAACDAEFF, ABAACDAEFG, ABAACDBAAA, ABAACDBAAB, ABAACDBAAC, ABAACDBAAD, ABAACDBAAE, ABAACDBABA, ABAACDBABB, ABAACDBABC, ABAACDBABD, ABAACDBABE, ABAACDBACA, ABAACDBACB, ABAACDBACC, ABAACDBACD, ABAACDBACE, ABAACDBADA, ABAACDBADB, ABAACDBADC, ABAACDBADD, ABAACDBADE, ABAACDBAEA, ABAACDBAEB, ABAACDBAEC, ABAACDBAED, ABAACDBAEE, ABAACDBAEF, ABAACDBBAA, ABAACDBBAB, ABAACDBBAC, ABAACDBBAD, ABAACDBBAE, ABAACDBBBA, ABAACDBBBB, ABAACDBBBC, ABAACDBBBD, ABAACDBBBE, ABAACDBBCA, ABAACDBBCB, ABAACDBBCC, ABAACDBBCD, ABAACDBBCE, ABAACDBBDA, ABAACDBBDB, ABAACDBBDC, ABAACDBBDD, ABAACDBBDE, ABAACDBBEA, ABAACDBBEB, ABAACDBBEC, ABAACDBBED, ABAACDBBEE, ABAACDBBEF, ABAACDBCAA, ABAACDBCAB, ABAACDBCAC, ABAACDBCAD, ABAACDBCAE, ABAACDBCBA, ABAACDBCBB, ABAACDBCBC, ABAACDBCBD, ABAACDBCBE, ABAACDBCCA, ABAACDBCCB, ABAACDBCCC, ABAACDBCCD, ABAACDBCCE, ABAACDBCDA, ABAACDBCDB, ABAACDBCDC, ABAACDBCDD, ABAACDBCDE, ABAACDBCEA, ABAACDBCEB, ABAACDBCEC, ABAACDBCED, ABAACDBCEE, ABAACDBCEF, ABAACDBDAA, ABAACDBDAB, ABAACDBDAC, ABAACDBDAD, ABAACDBDAE, ABAACDBDBA, ABAACDBDBB, ABAACDBDBC, ABAACDBDBD, ABAACDBDBE, ABAACDBDCA, ABAACDBDCB, ABAACDBDCC, ABAACDBDCD, ABAACDBDCE, ABAACDBDDA, ABAACDBDDB, ABAACDBDDC, ABAACDBDDD, ABAACDBDDE, ABAACDBDEA, ABAACDBDEB, ABAACDBDEC, ABAACDBDED, ABAACDBDEE, ABAACDBDEF, ABAACDBEAA, ABAACDBEAB, ABAACDBEAC, ABAACDBEAD, ABAACDBEAE, ABAACDBEAF, ABAACDBEBA, ABAACDBEBB, ABAACDBEBC, ABAACDBEBD, ABAACDBEBE, ABAACDBEBF, ABAACDBECA, ABAACDBECB, ABAACDBECC, ABAACDBECD, ABAACDBECE, ABAACDBECF, ABAACDBEDA, ABAACDBEDB, ABAACDBEDC, ABAACDBEDD, ABAACDBEDE, ABAACDBEDF, ABAACDBEEA, ABAACDBEEB, ABAACDBEEC, ABAACDBEED, ABAACDBEEE, ABAACDBEEF, ABAACDBEFA, ABAACDBEFB, ABAACDBEFC, ABAACDBEFD, ABAACDBEFE, ABAACDBEFF, ABAACDBEFG, ABAACDCAAA, ABAACDCAAB, ABAACDCAAC, ABAACDCAAD, ABAACDCAAE, ABAACDCABA, ABAACDCABB, ABAACDCABC, ABAACDCABD, ABAACDCABE, ABAACDCACA, ABAACDCACB, ABAACDCACC, ABAACDCACD, ABAACDCACE, ABAACDCADA, ABAACDCADB, ABAACDCADC, ABAACDCADD, ABAACDCADE, ABAACDCAEA, ABAACDCAEB, ABAACDCAEC, ABAACDCAED, ABAACDCAEE, ABAACDCAEF, ABAACDCBAA, ABAACDCBAB, ABAACDCBAC, ABAACDCBAD, ABAACDCBAE, ABAACDCBBA, ABAACDCBBB, ABAACDCBBC, ABAACDCBBD, ABAACDCBBE, ABAACDCBCA, ABAACDCBCB, ABAACDCBCC, ABAACDCBCD, ABAACDCBCE, ABAACDCBDA, ABAACDCBDB, ABAACDCBDC, ABAACDCBDD, ABAACDCBDE, ABAACDCBEA, ABAACDCBEB, ABAACDCBEC, ABAACDCBED, ABAACDCBEE, ABAACDCBEF, ABAACDCCAA, ABAACDCCAB, ABAACDCCAC, ABAACDCCAD, ABAACDCCAE, ABAACDCCBA, ABAACDCCBB, ABAACDCCBC, ABAACDCCBD, ABAACDCCBE, ABAACDCCCA, ABAACDCCCB, ABAACDCCCC, ABAACDCCCD, ABAACDCCCE, ABAACDCCDA, ABAACDCCDB, ABAACDCCDC, ABAACDCCDD, ABAACDCCDE, ABAACDCCEA, ABAACDCCEB, ABAACDCCEC, ABAACDCCED, ABAACDCCEE, ABAACDCCEF, ABAACDCDAA, ABAACDCDAB, ABAACDCDAC, ABAACDCDAD, ABAACDCDAE, ABAACDCDBA, ABAACDCDBB, ABAACDCDBC, ABAACDCDBD, ABAACDCDBE, ABAACDCDCA, ABAACDCDCB, ABAACDCDCC, ABAACDCDCD, ABAACDCDCE, ABAACDCDDA, ABAACDCDDB, ABAACDCDDC, ABAACDCDDD, ABAACDCDDE, ABAACDCDEA, ABAACDCDEB, ABAACDCDEC, ABAACDCDED, ABAACDCDEE, ABAACDCDEF, ABAACDCEAA, ABAACDCEAB, ABAACDCEAC, ABAACDCEAD, ABAACDCEAE, ABAACDCEAF, ABAACDCEBA, ABAACDCEBB, ABAACDCEBC, ABAACDCEBD, ABAACDCEBE, ABAACDCEBF, ABAACDCECA, ABAACDCECB, ABAACDCECC, ABAACDCECD, ABAACDCECE, ABAACDCECF, ABAACDCEDA, ABAACDCEDB, ABAACDCEDC, ABAACDCEDD, ABAACDCEDE, ABAACDCEDF, ABAACDCEEA, ABAACDCEEB, ABAACDCEEC, ABAACDCEED, ABAACDCEEE, ABAACDCEEF, ABAACDCEFA, ABAACDCEFB, ABAACDCEFC, ABAACDCEFD, ABAACDCEFE, ABAACDCEFF, ABAACDCEFG, ABAACDDAAA, ABAACDDAAB, ABAACDDAAC, ABAACDDAAD, ABAACDDAAE, ABAACDDABA, ABAACDDABB, ABAACDDABC, ABAACDDABD, ABAACDDABE, ABAACDDACA, ABAACDDACB, ABAACDDACC, ABAACDDACD, ABAACDDACE, ABAACDDADA, ABAACDDADB, ABAACDDADC, ABAACDDADD, ABAACDDADE, ABAACDDAEA, ABAACDDAEB, ABAACDDAEC, ABAACDDAED, ABAACDDAEE, ABAACDDAEF, ABAACDDBAA, ABAACDDBAB, ABAACDDBAC, ABAACDDBAD, ABAACDDBAE, ABAACDDBBA, ABAACDDBBB, ABAACDDBBC, ABAACDDBBD, ABAACDDBBE, ABAACDDBCA, ABAACDDBCB, ABAACDDBCC, ABAACDDBCD, ABAACDDBCE, ABAACDDBDA, ABAACDDBDB, ABAACDDBDC, ABAACDDBDD, ABAACDDBDE, ABAACDDBEA, ABAACDDBEB, ABAACDDBEC, ABAACDDBED, ABAACDDBEE, ABAACDDBEF, ABAACDDCAA, ABAACDDCAB, ABAACDDCAC, ABAACDDCAD, ABAACDDCAE, ABAACDDCBA, ABAACDDCBB, ABAACDDCBC, ABAACDDCBD, ABAACDDCBE, ABAACDDCCA, ABAACDDCCB, ABAACDDCCC, ABAACDDCCD, ABAACDDCCE, ABAACDDCDA, ABAACDDCDB, ABAACDDCDC, ABAACDDCDD, ABAACDDCDE, ABAACDDCEA, ABAACDDCEB, ABAACDDCEC, ABAACDDCED, ABAACDDCEE, ABAACDDCEF, ABAACDDDAA, ABAACDDDAB, ABAACDDDAC, ABAACDDDAD, ABAACDDDAE, ABAACDDDBA, ABAACDDDBB, ABAACDDDBC, ABAACDDDBD, ABAACDDDBE, ABAACDDDCA, ABAACDDDCB, ABAACDDDCC, ABAACDDDCD, ABAACDDDCE, ABAACDDDDA, ABAACDDDDB, ABAACDDDDC, ABAACDDDDD, ABAACDDDDE, ABAACDDDEA, ABAACDDDEB, ABAACDDDEC, ABAACDDDED, ABAACDDDEE, ABAACDDDEF, ABAACDDEAA, ABAACDDEAB, ABAACDDEAC, ABAACDDEAD, ABAACDDEAE, ABAACDDEAF, ABAACDDEBA, ABAACDDEBB, ABAACDDEBC, ABAACDDEBD, ABAACDDEBE, ABAACDDEBF, ABAACDDECA, ABAACDDECB, ABAACDDECC, ABAACDDECD, ABAACDDECE, ABAACDDECF, ABAACDDEDA, ABAACDDEDB, ABAACDDEDC, ABAACDDEDD, ABAACDDEDE, ABAACDDEDF, ABAACDDEEA, ABAACDDEEB, ABAACDDEEC, ABAACDDEED, ABAACDDEEE, ABAACDDEEF, ABAACDDEFA, ABAACDDEFB, ABAACDDEFC, ABAACDDEFD, ABAACDDEFE, ABAACDDEFF, ABAACDDEFG, ABAACDEAAA, ABAACDEAAB, ABAACDEAAC, ABAACDEAAD, ABAACDEAAE, ABAACDEAAF, ABAACDEABA, ABAACDEABB, ABAACDEABC, ABAACDEABD, ABAACDEABE, ABAACDEABF, ABAACDEACA, ABAACDEACB, ABAACDEACC, ABAACDEACD, ABAACDEACE, ABAACDEACF, ABAACDEADA, ABAACDEADB, ABAACDEADC, ABAACDEADD, ABAACDEADE, ABAACDEADF, ABAACDEAEA, ABAACDEAEB, ABAACDEAEC, ABAACDEAED, ABAACDEAEE, ABAACDEAEF, ABAACDEAFA, ABAACDEAFB, ABAACDEAFC, ABAACDEAFD, ABAACDEAFE, ABAACDEAFF, ABAACDEAFG, ABAACDEBAA, ABAACDEBAB, ABAACDEBAC, ABAACDEBAD, ABAACDEBAE, ABAACDEBAF, ABAACDEBBA, ABAACDEBBB, ABAACDEBBC, ABAACDEBBD, ABAACDEBBE, ABAACDEBBF, ABAACDEBCA, ABAACDEBCB, ABAACDEBCC, ABAACDEBCD, ABAACDEBCE, ABAACDEBCF, ABAACDEBDA, ABAACDEBDB, ABAACDEBDC, ABAACDEBDD, ABAACDEBDE, ABAACDEBDF, ABAACDEBEA, ABAACDEBEB, ABAACDEBEC, ABAACDEBED, ABAACDEBEE, ABAACDEBEF, ABAACDEBFA, ABAACDEBFB, ABAACDEBFC, ABAACDEBFD, ABAACDEBFE, ABAACDEBFF, ABAACDEBFG, ABAACDECAA, ABAACDECAB, ABAACDECAC, ABAACDECAD, ABAACDECAE, ABAACDECAF, ABAACDECBA, ABAACDECBB, ABAACDECBC, ABAACDECBD, ABAACDECBE, ABAACDECBF, ABAACDECCA, ABAACDECCB, ABAACDECCC, ABAACDECCD, ABAACDECCE, ABAACDECCF, ABAACDECDA, ABAACDECDB, ABAACDECDC, ABAACDECDD, ABAACDECDE, ABAACDECDF, ABAACDECEA, ABAACDECEB, ABAACDECEC, ABAACDECED, ABAACDECEE, ABAACDECEF, ABAACDECFA, ABAACDECFB, ABAACDECFC, ABAACDECFD, ABAACDECFE, ABAACDECFF, ABAACDECFG, ABAACDEDAA, ABAACDEDAB, ABAACDEDAC, ABAACDEDAD, ABAACDEDAE, ABAACDEDAF, ABAACDEDBA, ABAACDEDBB, ABAACDEDBC, ABAACDEDBD, ABAACDEDBE, ABAACDEDBF, ABAACDEDCA, ABAACDEDCB, ABAACDEDCC, ABAACDEDCD, ABAACDEDCE, ABAACDEDCF, ABAACDEDDA, ABAACDEDDB, ABAACDEDDC, ABAACDEDDD, ABAACDEDDE, ABAACDEDDF, ABAACDEDEA, ABAACDEDEB, ABAACDEDEC, ABAACDEDED, ABAACDEDEE, ABAACDEDEF, ABAACDEDFA, ABAACDEDFB, ABAACDEDFC, ABAACDEDFD, ABAACDEDFE, ABAACDEDFF, ABAACDEDFG, ABAACDEEAA, ABAACDEEAB, ABAACDEEAC, ABAACDEEAD, ABAACDEEAE, ABAACDEEAF, ABAACDEEBA, ABAACDEEBB, ABAACDEEBC, ABAACDEEBD, ABAACDEEBE, ABAACDEEBF, ABAACDEECA, ABAACDEECB, ABAACDEECC, ABAACDEECD, ABAACDEECE, ABAACDEECF, ABAACDEEDA, ABAACDEEDB, ABAACDEEDC, ABAACDEEDD, ABAACDEEDE, ABAACDEEDF, ABAACDEEEA, ABAACDEEEB, ABAACDEEEC, ABAACDEEED, ABAACDEEEE, ABAACDEEEF, ABAACDEEFA, ABAACDEEFB, ABAACDEEFC, ABAACDEEFD, ABAACDEEFE, ABAACDEEFF, ABAACDEEFG, ABAACDEFAA, ABAACDEFAB, ABAACDEFAC, ABAACDEFAD, ABAACDEFAE, ABAACDEFAF, ABAACDEFAG, ABAACDEFBA, ABAACDEFBB, ABAACDEFBC, ABAACDEFBD, ABAACDEFBE, ABAACDEFBF, ABAACDEFBG, ABAACDEFCA, ABAACDEFCB, ABAACDEFCC, ABAACDEFCD, ABAACDEFCE, ABAACDEFCF, ABAACDEFCG, ABAACDEFDA, ABAACDEFDB, ABAACDEFDC, ABAACDEFDD, ABAACDEFDE, ABAACDEFDF, ABAACDEFDG, ABAACDEFEA, ABAACDEFEB, ABAACDEFEC, ABAACDEFED, ABAACDEFEE, ABAACDEFEF, ABAACDEFEG, ABAACDEFFA, ABAACDEFFB, ABAACDEFFC, ABAACDEFFD, ABAACDEFFE, ABAACDEFFF, ABAACDEFFG, ABAACDEFGA, ABAACDEFGB, ABAACDEFGC, ABAACDEFGD, ABAACDEFGE, ABAACDEFGF, ABAACDEFGG, ABAACDEFGH, ABABAAAAAA, ABABAAAAAB, ABABAAAAAC, ABABAAAABA, ABABAAAABB, ABABAAAABC, ABABAAAACA, ABABAAAACB, ABABAAAACC, ABABAAAACD, ABABAAABAA, ABABAAABAB, ABABAAABAC, ABABAAABBA, ABABAAABBB, ABABAAABBC, ABABAAABCA, ABABAAABCB, ABABAAABCC, ABABAAABCD, ABABAAACAA, ABABAAACAB, ABABAAACAC, ABABAAACAD, ABABAAACBA, ABABAAACBB, ABABAAACBC, ABABAAACBD, ABABAAACCA, ABABAAACCB, ABABAAACCC, ABABAAACCD, ABABAAACDA, ABABAAACDB, ABABAAACDC, ABABAAACDD, ABABAAACDE, ABABAABAAA, ABABAABAAB, ABABAABAAC, ABABAABABA, ABABAABABB, ABABAABABC, ABABAABACA, ABABAABACB, ABABAABACC, ABABAABACD, ABABAABBAA, ABABAABBAB, ABABAABBAC, ABABAABBBA, ABABAABBBB, ABABAABBBC, ABABAABBCA, ABABAABBCB, ABABAABBCC, ABABAABBCD, ABABAABCAA, ABABAABCAB, ABABAABCAC, ABABAABCAD, ABABAABCBA, ABABAABCBB, ABABAABCBC, ABABAABCBD, ABABAABCCA, ABABAABCCB, ABABAABCCC, ABABAABCCD, ABABAABCDA, ABABAABCDB, ABABAABCDC, ABABAABCDD, ABABAABCDE, ABABAACAAA, ABABAACAAB, ABABAACAAC, ABABAACAAD, ABABAACABA, ABABAACABB, ABABAACABC, ABABAACABD, ABABAACACA, ABABAACACB, ABABAACACC, ABABAACACD, ABABAACADA, ABABAACADB, ABABAACADC, ABABAACADD, ABABAACADE, ABABAACBAA, ABABAACBAB, ABABAACBAC, ABABAACBAD, ABABAACBBA, ABABAACBBB, ABABAACBBC, ABABAACBBD, ABABAACBCA, ABABAACBCB, ABABAACBCC, ABABAACBCD, ABABAACBDA, ABABAACBDB, ABABAACBDC, ABABAACBDD, ABABAACBDE, ABABAACCAA, ABABAACCAB, ABABAACCAC, ABABAACCAD, ABABAACCBA, ABABAACCBB, ABABAACCBC, ABABAACCBD, ABABAACCCA, ABABAACCCB, ABABAACCCC, ABABAACCCD, ABABAACCDA, ABABAACCDB, ABABAACCDC, ABABAACCDD, ABABAACCDE, ABABAACDAA, ABABAACDAB, ABABAACDAC, ABABAACDAD, ABABAACDAE, ABABAACDBA, ABABAACDBB, ABABAACDBC, ABABAACDBD, ABABAACDBE, ABABAACDCA, ABABAACDCB, ABABAACDCC, ABABAACDCD, ABABAACDCE, ABABAACDDA, ABABAACDDB, ABABAACDDC, ABABAACDDD, ABABAACDDE, ABABAACDEA, ABABAACDEB, ABABAACDEC, ABABAACDED, ABABAACDEE, ABABAACDEF, ABABABAAAA, ABABABAAAB, ABABABAAAC, ABABABAABA, ABABABAABB, ABABABAABC, ABABABAACA, ABABABAACB, ABABABAACC, ABABABAACD, ABABABABAA, ABABABABAB, ABABABABAC, ABABABABBA, ABABABABBB, ABABABABBC, ABABABABCA, ABABABABCB, ABABABABCC, ABABABABCD, ABABABACAA, ABABABACAB, ABABABACAC, ABABABACAD, ABABABACBA, ABABABACBB, ABABABACBC, ABABABACBD, ABABABACCA, ABABABACCB, ABABABACCC, ABABABACCD, ABABABACDA, ABABABACDB, ABABABACDC, ABABABACDD, ABABABACDE, ABABABBAAA, ABABABBAAB, ABABABBAAC, ABABABBABA, ABABABBABB, ABABABBABC, ABABABBACA, ABABABBACB, ABABABBACC, ABABABBACD, ABABABBBAA, ABABABBBAB, ABABABBBAC, ABABABBBBA, ABABABBBBB, ABABABBBBC, ABABABBBCA, ABABABBBCB, ABABABBBCC, ABABABBBCD, ABABABBCAA, ABABABBCAB, ABABABBCAC, ABABABBCAD, ABABABBCBA, ABABABBCBB, ABABABBCBC, ABABABBCBD, ABABABBCCA, ABABABBCCB, ABABABBCCC, ABABABBCCD, ABABABBCDA, ABABABBCDB, ABABABBCDC, ABABABBCDD, ABABABBCDE, ABABABCAAA, ABABABCAAB, ABABABCAAC, ABABABCAAD, ABABABCABA, ABABABCABB, ABABABCABC, ABABABCABD, ABABABCACA, ABABABCACB, ABABABCACC, ABABABCACD, ABABABCADA, ABABABCADB, ABABABCADC, ABABABCADD, ABABABCADE, ABABABCBAA, ABABABCBAB, ABABABCBAC, ABABABCBAD, ABABABCBBA, ABABABCBBB, ABABABCBBC, ABABABCBBD, ABABABCBCA, ABABABCBCB, ABABABCBCC, ABABABCBCD, ABABABCBDA, ABABABCBDB, ABABABCBDC, ABABABCBDD, ABABABCBDE, ABABABCCAA, ABABABCCAB, ABABABCCAC, ABABABCCAD, ABABABCCBA, ABABABCCBB, ABABABCCBC, ABABABCCBD, ABABABCCCA, ABABABCCCB, ABABABCCCC, ABABABCCCD, ABABABCCDA, ABABABCCDB, ABABABCCDC, ABABABCCDD, ABABABCCDE, ABABABCDAA, ABABABCDAB, ABABABCDAC, ABABABCDAD, ABABABCDAE, ABABABCDBA, ABABABCDBB, ABABABCDBC, ABABABCDBD, ABABABCDBE, ABABABCDCA, ABABABCDCB, ABABABCDCC, ABABABCDCD, ABABABCDCE, ABABABCDDA, ABABABCDDB, ABABABCDDC, ABABABCDDD, ABABABCDDE, ABABABCDEA, ABABABCDEB, ABABABCDEC, ABABABCDED, ABABABCDEE, ABABABCDEF, ABABACAAAA, ABABACAAAB, ABABACAAAC, ABABACAAAD, ABABACAABA, ABABACAABB, ABABACAABC, ABABACAABD, ABABACAACA, ABABACAACB, ABABACAACC, ABABACAACD, ABABACAADA, ABABACAADB, ABABACAADC, ABABACAADD, ABABACAADE, ABABACABAA, ABABACABAB, ABABACABAC, ABABACABAD, ABABACABBA, 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ABACDADEAC, ABACDADEAD, ABACDADEAE, ABACDADEAF, ABACDADEBA, ABACDADEBB, ABACDADEBC, ABACDADEBD, ABACDADEBE, ABACDADEBF, ABACDADECA, ABACDADECB, ABACDADECC, ABACDADECD, ABACDADECE, ABACDADECF, ABACDADEDA, ABACDADEDB, ABACDADEDC, ABACDADEDD, ABACDADEDE, ABACDADEDF, ABACDADEEA, ABACDADEEB, ABACDADEEC, ABACDADEED, ABACDADEEE, ABACDADEEF, ABACDADEFA, ABACDADEFB, ABACDADEFC, ABACDADEFD, ABACDADEFE, ABACDADEFF, ABACDADEFG, ABACDAEAAA, ABACDAEAAB, ABACDAEAAC, ABACDAEAAD, ABACDAEAAE, ABACDAEAAF, ABACDAEABA, ABACDAEABB, ABACDAEABC, ABACDAEABD, ABACDAEABE, ABACDAEABF, ABACDAEACA, ABACDAEACB, ABACDAEACC, ABACDAEACD, ABACDAEACE, ABACDAEACF, ABACDAEADA, ABACDAEADB, ABACDAEADC, ABACDAEADD, ABACDAEADE, ABACDAEADF, ABACDAEAEA, ABACDAEAEB, ABACDAEAEC, ABACDAEAED, ABACDAEAEE, ABACDAEAEF, ABACDAEAFA, ABACDAEAFB, ABACDAEAFC, ABACDAEAFD, ABACDAEAFE, ABACDAEAFF, ABACDAEAFG, ABACDAEBAA, ABACDAEBAB, ABACDAEBAC, ABACDAEBAD, ABACDAEBAE, ABACDAEBAF, ABACDAEBBA, ABACDAEBBB, ABACDAEBBC, ABACDAEBBD, ABACDAEBBE, ABACDAEBBF, ABACDAEBCA, ABACDAEBCB, ABACDAEBCC, ABACDAEBCD, ABACDAEBCE, ABACDAEBCF, ABACDAEBDA, ABACDAEBDB, ABACDAEBDC, ABACDAEBDD, ABACDAEBDE, ABACDAEBDF, ABACDAEBEA, ABACDAEBEB, ABACDAEBEC, ABACDAEBED, ABACDAEBEE, ABACDAEBEF, ABACDAEBFA, ABACDAEBFB, ABACDAEBFC, ABACDAEBFD, ABACDAEBFE, ABACDAEBFF, ABACDAEBFG, ABACDAECAA, ABACDAECAB, ABACDAECAC, ABACDAECAD, ABACDAECAE, ABACDAECAF, ABACDAECBA, ABACDAECBB, ABACDAECBC, ABACDAECBD, ABACDAECBE, ABACDAECBF, ABACDAECCA, ABACDAECCB, ABACDAECCC, ABACDAECCD, ABACDAECCE, ABACDAECCF, ABACDAECDA, ABACDAECDB, ABACDAECDC, ABACDAECDD, ABACDAECDE, ABACDAECDF, ABACDAECEA, ABACDAECEB, ABACDAECEC, ABACDAECED, ABACDAECEE, ABACDAECEF, ABACDAECFA, ABACDAECFB, ABACDAECFC, ABACDAECFD, ABACDAECFE, ABACDAECFF, ABACDAECFG, ABACDAEDAA, ABACDAEDAB, ABACDAEDAC, ABACDAEDAD, ABACDAEDAE, ABACDAEDAF, ABACDAEDBA, ABACDAEDBB, ABACDAEDBC, ABACDAEDBD, ABACDAEDBE, ABACDAEDBF, ABACDAEDCA, ABACDAEDCB, ABACDAEDCC, ABACDAEDCD, ABACDAEDCE, ABACDAEDCF, ABACDAEDDA, ABACDAEDDB, ABACDAEDDC, ABACDAEDDD, ABACDAEDDE, ABACDAEDDF, ABACDAEDEA, ABACDAEDEB, ABACDAEDEC, ABACDAEDED, ABACDAEDEE, ABACDAEDEF, ABACDAEDFA, ABACDAEDFB, ABACDAEDFC, ABACDAEDFD, ABACDAEDFE, ABACDAEDFF, ABACDAEDFG, ABACDAEEAA, ABACDAEEAB, ABACDAEEAC, ABACDAEEAD, ABACDAEEAE, ABACDAEEAF, ABACDAEEBA, ABACDAEEBB, ABACDAEEBC, ABACDAEEBD, ABACDAEEBE, ABACDAEEBF, ABACDAEECA, ABACDAEECB, ABACDAEECC, ABACDAEECD, ABACDAEECE, ABACDAEECF, ABACDAEEDA, ABACDAEEDB, ABACDAEEDC, ABACDAEEDD, ABACDAEEDE, ABACDAEEDF, ABACDAEEEA, ABACDAEEEB, ABACDAEEEC, ABACDAEEED, ABACDAEEEE, ABACDAEEEF, ABACDAEEFA, ABACDAEEFB, ABACDAEEFC, ABACDAEEFD, ABACDAEEFE, ABACDAEEFF, ABACDAEEFG, ABACDAEFAA, ABACDAEFAB, ABACDAEFAC, ABACDAEFAD, ABACDAEFAE, ABACDAEFAF, ABACDAEFAG, ABACDAEFBA, ABACDAEFBB, ABACDAEFBC, ABACDAEFBD, ABACDAEFBE, ABACDAEFBF, ABACDAEFBG, ABACDAEFCA, ABACDAEFCB, ABACDAEFCC, ABACDAEFCD, ABACDAEFCE, ABACDAEFCF, ABACDAEFCG, ABACDAEFDA, ABACDAEFDB, ABACDAEFDC, ABACDAEFDD, ABACDAEFDE, ABACDAEFDF, ABACDAEFDG, ABACDAEFEA, ABACDAEFEB, ABACDAEFEC, ABACDAEFED, ABACDAEFEE, ABACDAEFEF, ABACDAEFEG, ABACDAEFFA, ABACDAEFFB, ABACDAEFFC, ABACDAEFFD, ABACDAEFFE, ABACDAEFFF, ABACDAEFFG, ABACDAEFGA, ABACDAEFGB, ABACDAEFGC, ABACDAEFGD, ABACDAEFGE, ABACDAEFGF, ABACDAEFGG, ABACDAEFGH, ABACDBAAAA, ABACDBAAAB, ABACDBAAAC, ABACDBAAAD, ABACDBAAAE, ABACDBAABA, ABACDBAABB, ABACDBAABC, ABACDBAABD, ABACDBAABE, ABACDBAACA, ABACDBAACB, ABACDBAACC, ABACDBAACD, ABACDBAACE, ABACDBAADA, ABACDBAADB, ABACDBAADC, ABACDBAADD, ABACDBAADE, ABACDBAAEA, ABACDBAAEB, ABACDBAAEC, ABACDBAAED, ABACDBAAEE, ABACDBAAEF, ABACDBABAA, ABACDBABAB, ABACDBABAC, ABACDBABAD, ABACDBABAE, ABACDBABBA, ABACDBABBB, ABACDBABBC, ABACDBABBD, ABACDBABBE, ABACDBABCA, ABACDBABCB, ABACDBABCC, ABACDBABCD, ABACDBABCE, ABACDBABDA, ABACDBABDB, ABACDBABDC, ABACDBABDD, ABACDBABDE, ABACDBABEA, ABACDBABEB, ABACDBABEC, ABACDBABED, ABACDBABEE, ABACDBABEF, ABACDBACAA, ABACDBACAB, ABACDBACAC, ABACDBACAD, ABACDBACAE, ABACDBACBA, ABACDBACBB, ABACDBACBC, ABACDBACBD, ABACDBACBE, ABACDBACCA, ABACDBACCB, ABACDBACCC, ABACDBACCD, ABACDBACCE, ABACDBACDA, ABACDBACDB, ABACDBACDC, ABACDBACDD, ABACDBACDE, ABACDBACEA, ABACDBACEB, ABACDBACEC, ABACDBACED, ABACDBACEE, ABACDBACEF, ABACDBADAA, ABACDBADAB, ABACDBADAC, ABACDBADAD, ABACDBADAE, ABACDBADBA, ABACDBADBB, ABACDBADBC, ABACDBADBD, ABACDBADBE, ABACDBADCA, ABACDBADCB, ABACDBADCC, ABACDBADCD, ABACDBADCE, ABACDBADDA, ABACDBADDB, ABACDBADDC, ABACDBADDD, ABACDBADDE, ABACDBADEA, ABACDBADEB, ABACDBADEC, ABACDBADED, ABACDBADEE, ABACDBADEF, ABACDBAEAA, ABACDBAEAB, ABACDBAEAC, ABACDBAEAD, ABACDBAEAE, ABACDBAEAF, ABACDBAEBA, ABACDBAEBB, ABACDBAEBC, ABACDBAEBD, ABACDBAEBE, ABACDBAEBF, ABACDBAECA, ABACDBAECB, ABACDBAECC, ABACDBAECD, ABACDBAECE, ABACDBAECF, ABACDBAEDA, ABACDBAEDB, ABACDBAEDC, ABACDBAEDD, ABACDBAEDE, ABACDBAEDF, ABACDBAEEA, ABACDBAEEB, ABACDBAEEC, ABACDBAEED, ABACDBAEEE, ABACDBAEEF, ABACDBAEFA, ABACDBAEFB, ABACDBAEFC, ABACDBAEFD, ABACDBAEFE, ABACDBAEFF, ABACDBAEFG, ABACDBBAAA, ABACDBBAAB, ABACDBBAAC, ABACDBBAAD, ABACDBBAAE, ABACDBBABA, ABACDBBABB, ABACDBBABC, ABACDBBABD, ABACDBBABE, ABACDBBACA, ABACDBBACB, ABACDBBACC, ABACDBBACD, ABACDBBACE, ABACDBBADA, ABACDBBADB, ABACDBBADC, ABACDBBADD, ABACDBBADE, ABACDBBAEA, ABACDBBAEB, ABACDBBAEC, ABACDBBAED, ABACDBBAEE, ABACDBBAEF, ABACDBBBAA, ABACDBBBAB, ABACDBBBAC, ABACDBBBAD, ABACDBBBAE, ABACDBBBBA, ABACDBBBBB, ABACDBBBBC, ABACDBBBBD, ABACDBBBBE, ABACDBBBCA, ABACDBBBCB, ABACDBBBCC, ABACDBBBCD, ABACDBBBCE, ABACDBBBDA, ABACDBBBDB, ABACDBBBDC, ABACDBBBDD, ABACDBBBDE, ABACDBBBEA, ABACDBBBEB, ABACDBBBEC, ABACDBBBED, ABACDBBBEE, ABACDBBBEF, ABACDBBCAA, ABACDBBCAB, ABACDBBCAC, ABACDBBCAD, ABACDBBCAE, ABACDBBCBA, ABACDBBCBB, ABACDBBCBC, ABACDBBCBD, ABACDBBCBE, ABACDBBCCA, ABACDBBCCB, ABACDBBCCC, ABACDBBCCD, ABACDBBCCE, ABACDBBCDA, ABACDBBCDB, ABACDBBCDC, ABACDBBCDD, ABACDBBCDE, ABACDBBCEA, ABACDBBCEB, ABACDBBCEC, ABACDBBCED, ABACDBBCEE, ABACDBBCEF, ABACDBBDAA, ABACDBBDAB, ABACDBBDAC, ABACDBBDAD, ABACDBBDAE, ABACDBBDBA, ABACDBBDBB, ABACDBBDBC, ABACDBBDBD, ABACDBBDBE, ABACDBBDCA, ABACDBBDCB, ABACDBBDCC, ABACDBBDCD, ABACDBBDCE, ABACDBBDDA, ABACDBBDDB, ABACDBBDDC, ABACDBBDDD, ABACDBBDDE, ABACDBBDEA, ABACDBBDEB, ABACDBBDEC, ABACDBBDED, ABACDBBDEE, ABACDBBDEF, ABACDBBEAA, ABACDBBEAB, ABACDBBEAC, ABACDBBEAD, ABACDBBEAE, ABACDBBEAF, ABACDBBEBA, ABACDBBEBB, ABACDBBEBC, ABACDBBEBD, ABACDBBEBE, ABACDBBEBF, ABACDBBECA, ABACDBBECB, ABACDBBECC, ABACDBBECD, ABACDBBECE, ABACDBBECF, ABACDBBEDA, ABACDBBEDB, ABACDBBEDC, ABACDBBEDD, ABACDBBEDE, ABACDBBEDF, ABACDBBEEA, ABACDBBEEB, ABACDBBEEC, ABACDBBEED, ABACDBBEEE, ABACDBBEEF, ABACDBBEFA, ABACDBBEFB, ABACDBBEFC, ABACDBBEFD, ABACDBBEFE, ABACDBBEFF, ABACDBBEFG, ABACDBCAAA, ABACDBCAAB, ABACDBCAAC, ABACDBCAAD, ABACDBCAAE, ABACDBCABA, ABACDBCABB, ABACDBCABC, ABACDBCABD, ABACDBCABE, ABACDBCACA, ABACDBCACB, ABACDBCACC, ABACDBCACD, ABACDBCACE, ABACDBCADA, ABACDBCADB, ABACDBCADC, ABACDBCADD, ABACDBCADE, ABACDBCAEA, ABACDBCAEB, ABACDBCAEC, ABACDBCAED, ABACDBCAEE, ABACDBCAEF, ABACDBCBAA, ABACDBCBAB, ABACDBCBAC, ABACDBCBAD, ABACDBCBAE, ABACDBCBBA, ABACDBCBBB, ABACDBCBBC, ABACDBCBBD, ABACDBCBBE, ABACDBCBCA, ABACDBCBCB, ABACDBCBCC, ABACDBCBCD, ABACDBCBCE, ABACDBCBDA, ABACDBCBDB, ABACDBCBDC, ABACDBCBDD, ABACDBCBDE, ABACDBCBEA, ABACDBCBEB, ABACDBCBEC, ABACDBCBED, ABACDBCBEE, ABACDBCBEF, ABACDBCCAA, ABACDBCCAB, ABACDBCCAC, ABACDBCCAD, ABACDBCCAE, ABACDBCCBA, ABACDBCCBB, ABACDBCCBC, ABACDBCCBD, ABACDBCCBE, ABACDBCCCA, ABACDBCCCB, ABACDBCCCC, ABACDBCCCD, ABACDBCCCE, ABACDBCCDA, ABACDBCCDB, ABACDBCCDC, ABACDBCCDD, ABACDBCCDE, ABACDBCCEA, ABACDBCCEB, ABACDBCCEC, ABACDBCCED, ABACDBCCEE, ABACDBCCEF, ABACDBCDAA, ABACDBCDAB, ABACDBCDAC, ABACDBCDAD, ABACDBCDAE, ABACDBCDBA, ABACDBCDBB, ABACDBCDBC, ABACDBCDBD, ABACDBCDBE, ABACDBCDCA, ABACDBCDCB, ABACDBCDCC, ABACDBCDCD, ABACDBCDCE, ABACDBCDDA, ABACDBCDDB, ABACDBCDDC, ABACDBCDDD, ABACDBCDDE, ABACDBCDEA, ABACDBCDEB, ABACDBCDEC, ABACDBCDED, ABACDBCDEE, ABACDBCDEF, ABACDBCEAA, ABACDBCEAB, ABACDBCEAC, ABACDBCEAD, ABACDBCEAE, ABACDBCEAF, ABACDBCEBA, ABACDBCEBB, ABACDBCEBC, ABACDBCEBD, ABACDBCEBE, ABACDBCEBF, ABACDBCECA, ABACDBCECB, ABACDBCECC, ABACDBCECD, ABACDBCECE, ABACDBCECF, ABACDBCEDA, ABACDBCEDB, ABACDBCEDC, ABACDBCEDD, ABACDBCEDE, ABACDBCEDF, ABACDBCEEA, ABACDBCEEB, ABACDBCEEC, ABACDBCEED, ABACDBCEEE, ABACDBCEEF, ABACDBCEFA, ABACDBCEFB, ABACDBCEFC, ABACDBCEFD, ABACDBCEFE, ABACDBCEFF, ABACDBCEFG, ABACDBDAAA, ABACDBDAAB, ABACDBDAAC, ABACDBDAAD, ABACDBDAAE, ABACDBDABA, ABACDBDABB, ABACDBDABC, ABACDBDABD, ABACDBDABE, ABACDBDACA, ABACDBDACB, ABACDBDACC, ABACDBDACD, ABACDBDACE, ABACDBDADA, ABACDBDADB, ABACDBDADC, ABACDBDADD, ABACDBDADE, ABACDBDAEA, ABACDBDAEB, ABACDBDAEC, ABACDBDAED, ABACDBDAEE, ABACDBDAEF, ABACDBDBAA, ABACDBDBAB, ABACDBDBAC, ABACDBDBAD, ABACDBDBAE, ABACDBDBBA, ABACDBDBBB, ABACDBDBBC, ABACDBDBBD, ABACDBDBBE, ABACDBDBCA, ABACDBDBCB, ABACDBDBCC, ABACDBDBCD, ABACDBDBCE, ABACDBDBDA, ABACDBDBDB, ABACDBDBDC, ABACDBDBDD, ABACDBDBDE, ABACDBDBEA, ABACDBDBEB, ABACDBDBEC, ABACDBDBED, ABACDBDBEE, ABACDBDBEF, ABACDBDCAA, ABACDBDCAB, ABACDBDCAC, ABACDBDCAD, ABACDBDCAE, ABACDBDCBA, ABACDBDCBB, ABACDBDCBC, ABACDBDCBD, ABACDBDCBE, ABACDBDCCA, ABACDBDCCB, ABACDBDCCC, ABACDBDCCD, ABACDBDCCE, ABACDBDCDA, ABACDBDCDB, ABACDBDCDC, ABACDBDCDD, ABACDBDCDE, ABACDBDCEA, ABACDBDCEB, ABACDBDCEC, ABACDBDCED, ABACDBDCEE, ABACDBDCEF, ABACDBDDAA, ABACDBDDAB, ABACDBDDAC, ABACDBDDAD, ABACDBDDAE, ABACDBDDBA, ABACDBDDBB, ABACDBDDBC, ABACDBDDBD, ABACDBDDBE, ABACDBDDCA, ABACDBDDCB, ABACDBDDCC, ABACDBDDCD, ABACDBDDCE, ABACDBDDDA, ABACDBDDDB, ABACDBDDDC, ABACDBDDDD, ABACDBDDDE, ABACDBDDEA, ABACDBDDEB, ABACDBDDEC, ABACDBDDED, ABACDBDDEE, ABACDBDDEF, ABACDBDEAA, ABACDBDEAB, ABACDBDEAC, ABACDBDEAD, ABACDBDEAE, ABACDBDEAF, ABACDBDEBA, ABACDBDEBB, ABACDBDEBC, ABACDBDEBD, ABACDBDEBE, ABACDBDEBF, ABACDBDECA, ABACDBDECB, ABACDBDECC, ABACDBDECD, ABACDBDECE, ABACDBDECF, ABACDBDEDA, ABACDBDEDB, ABACDBDEDC, ABACDBDEDD, ABACDBDEDE, ABACDBDEDF, ABACDBDEEA, ABACDBDEEB, ABACDBDEEC, ABACDBDEED, ABACDBDEEE, ABACDBDEEF, ABACDBDEFA, ABACDBDEFB, ABACDBDEFC, ABACDBDEFD, ABACDBDEFE, ABACDBDEFF, ABACDBDEFG, ABACDBEAAA, ABACDBEAAB, ABACDBEAAC, ABACDBEAAD, ABACDBEAAE, ABACDBEAAF, ABACDBEABA, ABACDBEABB, ABACDBEABC, ABACDBEABD, ABACDBEABE, ABACDBEABF, ABACDBEACA, ABACDBEACB, ABACDBEACC, ABACDBEACD, ABACDBEACE, ABACDBEACF, ABACDBEADA, ABACDBEADB, ABACDBEADC, ABACDBEADD, ABACDBEADE, ABACDBEADF, ABACDBEAEA, ABACDBEAEB, ABACDBEAEC, ABACDBEAED, ABACDBEAEE, ABACDBEAEF, ABACDBEAFA, ABACDBEAFB, ABACDBEAFC, ABACDBEAFD, ABACDBEAFE, ABACDBEAFF, ABACDBEAFG, ABACDBEBAA, ABACDBEBAB, ABACDBEBAC, ABACDBEBAD, ABACDBEBAE, ABACDBEBAF, ABACDBEBBA, ABACDBEBBB, ABACDBEBBC, ABACDBEBBD, ABACDBEBBE, ABACDBEBBF, ABACDBEBCA, ABACDBEBCB, ABACDBEBCC, ABACDBEBCD, ABACDBEBCE, ABACDBEBCF, ABACDBEBDA, ABACDBEBDB, ABACDBEBDC, ABACDBEBDD, ABACDBEBDE, ABACDBEBDF, ABACDBEBEA, ABACDBEBEB, ABACDBEBEC, ABACDBEBED, ABACDBEBEE, ABACDBEBEF, ABACDBEBFA, ABACDBEBFB, ABACDBEBFC, ABACDBEBFD, ABACDBEBFE, ABACDBEBFF, ABACDBEBFG, ABACDBECAA, ABACDBECAB, ABACDBECAC, ABACDBECAD, ABACDBECAE, 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