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
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
| n | Bell(n) |
| 1 | 1 |
| 2 | 2 |
| 3 | 5 |
| 4 | 15 |
| 5 | 52 |
| 6 | 203 |
| 7 | 877 |
| 8 | 4,140 |
| 9 | 21,147 |
| 10 | 115,975 |
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
An = 2
AA, ABn = 3
AAA, AAB, ABA, ABB, ABCn = 4
AAAA, AAAB, AABA, AABB, AABC, ABAA, ABAB, ABAC, ABBA, ABBB, ABBC, ABCA, ABCB, ABCC, ABCDn = 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, ABCDEn = 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, ABCDEFn = 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, ABCDEFGClick 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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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, ABCDEFGHn = 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, ABCDEFGHIn = 10
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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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ABCBDCAEFE, ABCBDCAEFF, ABCBDCAEFG, ABCBDCBAAA, ABCBDCBAAB, ABCBDCBAAC, ABCBDCBAAD, ABCBDCBAAE, ABCBDCBABA, ABCBDCBABB, ABCBDCBABC, ABCBDCBABD, ABCBDCBABE, ABCBDCBACA, ABCBDCBACB, ABCBDCBACC, ABCBDCBACD, ABCBDCBACE, ABCBDCBADA, ABCBDCBADB, ABCBDCBADC, ABCBDCBADD, ABCBDCBADE, ABCBDCBAEA, ABCBDCBAEB, ABCBDCBAEC, ABCBDCBAED, ABCBDCBAEE, ABCBDCBAEF, ABCBDCBBAA, ABCBDCBBAB, ABCBDCBBAC, ABCBDCBBAD, ABCBDCBBAE, ABCBDCBBBA, ABCBDCBBBB, ABCBDCBBBC, ABCBDCBBBD, ABCBDCBBBE, ABCBDCBBCA, ABCBDCBBCB, ABCBDCBBCC, ABCBDCBBCD, ABCBDCBBCE, ABCBDCBBDA, ABCBDCBBDB, ABCBDCBBDC, ABCBDCBBDD, ABCBDCBBDE, ABCBDCBBEA, ABCBDCBBEB, ABCBDCBBEC, ABCBDCBBED, ABCBDCBBEE, ABCBDCBBEF, ABCBDCBCAA, ABCBDCBCAB, ABCBDCBCAC, ABCBDCBCAD, ABCBDCBCAE, ABCBDCBCBA, ABCBDCBCBB, ABCBDCBCBC, ABCBDCBCBD, ABCBDCBCBE, ABCBDCBCCA, ABCBDCBCCB, ABCBDCBCCC, ABCBDCBCCD, ABCBDCBCCE, ABCBDCBCDA, ABCBDCBCDB, ABCBDCBCDC, ABCBDCBCDD, ABCBDCBCDE, ABCBDCBCEA, ABCBDCBCEB, ABCBDCBCEC, ABCBDCBCED, ABCBDCBCEE, ABCBDCBCEF, ABCBDCBDAA, ABCBDCBDAB, ABCBDCBDAC, ABCBDCBDAD, ABCBDCBDAE, ABCBDCBDBA, ABCBDCBDBB, ABCBDCBDBC, ABCBDCBDBD, ABCBDCBDBE, ABCBDCBDCA, ABCBDCBDCB, ABCBDCBDCC, ABCBDCBDCD, ABCBDCBDCE, ABCBDCBDDA, ABCBDCBDDB, ABCBDCBDDC, ABCBDCBDDD, ABCBDCBDDE, ABCBDCBDEA, ABCBDCBDEB, ABCBDCBDEC, ABCBDCBDED, ABCBDCBDEE, ABCBDCBDEF, ABCBDCBEAA, ABCBDCBEAB, ABCBDCBEAC, ABCBDCBEAD, ABCBDCBEAE, ABCBDCBEAF, ABCBDCBEBA, ABCBDCBEBB, ABCBDCBEBC, ABCBDCBEBD, ABCBDCBEBE, ABCBDCBEBF, ABCBDCBECA, ABCBDCBECB, ABCBDCBECC, ABCBDCBECD, ABCBDCBECE, ABCBDCBECF, ABCBDCBEDA, ABCBDCBEDB, ABCBDCBEDC, ABCBDCBEDD, ABCBDCBEDE, ABCBDCBEDF, ABCBDCBEEA, ABCBDCBEEB, ABCBDCBEEC, ABCBDCBEED, ABCBDCBEEE, ABCBDCBEEF, ABCBDCBEFA, ABCBDCBEFB, ABCBDCBEFC, ABCBDCBEFD, ABCBDCBEFE, ABCBDCBEFF, ABCBDCBEFG, ABCBDCCAAA, ABCBDCCAAB, ABCBDCCAAC, ABCBDCCAAD, ABCBDCCAAE, ABCBDCCABA, ABCBDCCABB, ABCBDCCABC, ABCBDCCABD, ABCBDCCABE, ABCBDCCACA, ABCBDCCACB, ABCBDCCACC, ABCBDCCACD, ABCBDCCACE, ABCBDCCADA, ABCBDCCADB, ABCBDCCADC, ABCBDCCADD, ABCBDCCADE, ABCBDCCAEA, ABCBDCCAEB, ABCBDCCAEC, ABCBDCCAED, ABCBDCCAEE, ABCBDCCAEF, ABCBDCCBAA, ABCBDCCBAB, ABCBDCCBAC, ABCBDCCBAD, ABCBDCCBAE, ABCBDCCBBA, ABCBDCCBBB, ABCBDCCBBC, ABCBDCCBBD, ABCBDCCBBE, ABCBDCCBCA, ABCBDCCBCB, ABCBDCCBCC, ABCBDCCBCD, ABCBDCCBCE, ABCBDCCBDA, ABCBDCCBDB, ABCBDCCBDC, ABCBDCCBDD, ABCBDCCBDE, ABCBDCCBEA, ABCBDCCBEB, ABCBDCCBEC, ABCBDCCBED, ABCBDCCBEE, ABCBDCCBEF, ABCBDCCCAA, ABCBDCCCAB, ABCBDCCCAC, ABCBDCCCAD, ABCBDCCCAE, ABCBDCCCBA, ABCBDCCCBB, ABCBDCCCBC, ABCBDCCCBD, ABCBDCCCBE, ABCBDCCCCA, ABCBDCCCCB, ABCBDCCCCC, ABCBDCCCCD, ABCBDCCCCE, ABCBDCCCDA, ABCBDCCCDB, ABCBDCCCDC, ABCBDCCCDD, ABCBDCCCDE, ABCBDCCCEA, ABCBDCCCEB, ABCBDCCCEC, ABCBDCCCED, ABCBDCCCEE, ABCBDCCCEF, ABCBDCCDAA, ABCBDCCDAB, ABCBDCCDAC, ABCBDCCDAD, ABCBDCCDAE, ABCBDCCDBA, ABCBDCCDBB, ABCBDCCDBC, ABCBDCCDBD, ABCBDCCDBE, ABCBDCCDCA, ABCBDCCDCB, ABCBDCCDCC, ABCBDCCDCD, ABCBDCCDCE, ABCBDCCDDA, ABCBDCCDDB, ABCBDCCDDC, ABCBDCCDDD, ABCBDCCDDE, ABCBDCCDEA, ABCBDCCDEB, ABCBDCCDEC, ABCBDCCDED, ABCBDCCDEE, ABCBDCCDEF, ABCBDCCEAA, ABCBDCCEAB, ABCBDCCEAC, ABCBDCCEAD, ABCBDCCEAE, ABCBDCCEAF, ABCBDCCEBA, ABCBDCCEBB, ABCBDCCEBC, ABCBDCCEBD, ABCBDCCEBE, ABCBDCCEBF, ABCBDCCECA, ABCBDCCECB, ABCBDCCECC, ABCBDCCECD, ABCBDCCECE, ABCBDCCECF, ABCBDCCEDA, ABCBDCCEDB, ABCBDCCEDC, ABCBDCCEDD, ABCBDCCEDE, ABCBDCCEDF, ABCBDCCEEA, ABCBDCCEEB, ABCBDCCEEC, ABCBDCCEED, ABCBDCCEEE, ABCBDCCEEF, ABCBDCCEFA, ABCBDCCEFB, ABCBDCCEFC, ABCBDCCEFD, ABCBDCCEFE, ABCBDCCEFF, ABCBDCCEFG, ABCBDCDAAA, ABCBDCDAAB, ABCBDCDAAC, ABCBDCDAAD, ABCBDCDAAE, ABCBDCDABA, ABCBDCDABB, ABCBDCDABC, ABCBDCDABD, ABCBDCDABE, ABCBDCDACA, ABCBDCDACB, ABCBDCDACC, ABCBDCDACD, ABCBDCDACE, ABCBDCDADA, ABCBDCDADB, ABCBDCDADC, ABCBDCDADD, ABCBDCDADE, ABCBDCDAEA, ABCBDCDAEB, ABCBDCDAEC, ABCBDCDAED, ABCBDCDAEE, ABCBDCDAEF, ABCBDCDBAA, ABCBDCDBAB, ABCBDCDBAC, ABCBDCDBAD, ABCBDCDBAE, ABCBDCDBBA, ABCBDCDBBB, ABCBDCDBBC, ABCBDCDBBD, ABCBDCDBBE, ABCBDCDBCA, ABCBDCDBCB, ABCBDCDBCC, ABCBDCDBCD, ABCBDCDBCE, ABCBDCDBDA, ABCBDCDBDB, ABCBDCDBDC, ABCBDCDBDD, ABCBDCDBDE, ABCBDCDBEA, ABCBDCDBEB, ABCBDCDBEC, ABCBDCDBED, ABCBDCDBEE, ABCBDCDBEF, ABCBDCDCAA, ABCBDCDCAB, ABCBDCDCAC, ABCBDCDCAD, ABCBDCDCAE, ABCBDCDCBA, ABCBDCDCBB, ABCBDCDCBC, ABCBDCDCBD, ABCBDCDCBE, ABCBDCDCCA, ABCBDCDCCB, ABCBDCDCCC, ABCBDCDCCD, ABCBDCDCCE, ABCBDCDCDA, ABCBDCDCDB, ABCBDCDCDC, ABCBDCDCDD, ABCBDCDCDE, ABCBDCDCEA, ABCBDCDCEB, ABCBDCDCEC, ABCBDCDCED, ABCBDCDCEE, ABCBDCDCEF, ABCBDCDDAA, ABCBDCDDAB, ABCBDCDDAC, ABCBDCDDAD, ABCBDCDDAE, ABCBDCDDBA, ABCBDCDDBB, ABCBDCDDBC, ABCBDCDDBD, ABCBDCDDBE, ABCBDCDDCA, ABCBDCDDCB, ABCBDCDDCC, ABCBDCDDCD, ABCBDCDDCE, ABCBDCDDDA, ABCBDCDDDB, ABCBDCDDDC, ABCBDCDDDD, ABCBDCDDDE, ABCBDCDDEA, ABCBDCDDEB, ABCBDCDDEC, ABCBDCDDED, ABCBDCDDEE, ABCBDCDDEF, ABCBDCDEAA, ABCBDCDEAB, ABCBDCDEAC, ABCBDCDEAD, ABCBDCDEAE, ABCBDCDEAF, ABCBDCDEBA, ABCBDCDEBB, ABCBDCDEBC, ABCBDCDEBD, ABCBDCDEBE, ABCBDCDEBF, ABCBDCDECA, ABCBDCDECB, ABCBDCDECC, ABCBDCDECD, ABCBDCDECE, ABCBDCDECF, ABCBDCDEDA, ABCBDCDEDB, ABCBDCDEDC, ABCBDCDEDD, ABCBDCDEDE, ABCBDCDEDF, ABCBDCDEEA, ABCBDCDEEB, ABCBDCDEEC, ABCBDCDEED, ABCBDCDEEE, ABCBDCDEEF, ABCBDCDEFA, ABCBDCDEFB, ABCBDCDEFC, ABCBDCDEFD, ABCBDCDEFE, ABCBDCDEFF, ABCBDCDEFG, ABCBDCEAAA, ABCBDCEAAB, ABCBDCEAAC, ABCBDCEAAD, ABCBDCEAAE, ABCBDCEAAF, ABCBDCEABA, ABCBDCEABB, ABCBDCEABC, ABCBDCEABD, ABCBDCEABE, ABCBDCEABF, ABCBDCEACA, ABCBDCEACB, ABCBDCEACC, ABCBDCEACD, ABCBDCEACE, ABCBDCEACF, ABCBDCEADA, ABCBDCEADB, ABCBDCEADC, ABCBDCEADD, ABCBDCEADE, ABCBDCEADF, ABCBDCEAEA, ABCBDCEAEB, ABCBDCEAEC, ABCBDCEAED, ABCBDCEAEE, ABCBDCEAEF, ABCBDCEAFA, ABCBDCEAFB, ABCBDCEAFC, ABCBDCEAFD, ABCBDCEAFE, ABCBDCEAFF, ABCBDCEAFG, ABCBDCEBAA, ABCBDCEBAB, ABCBDCEBAC, ABCBDCEBAD, ABCBDCEBAE, ABCBDCEBAF, ABCBDCEBBA, ABCBDCEBBB, ABCBDCEBBC, ABCBDCEBBD, ABCBDCEBBE, ABCBDCEBBF, ABCBDCEBCA, ABCBDCEBCB, ABCBDCEBCC, ABCBDCEBCD, ABCBDCEBCE, ABCBDCEBCF, ABCBDCEBDA, ABCBDCEBDB, ABCBDCEBDC, ABCBDCEBDD, ABCBDCEBDE, ABCBDCEBDF, ABCBDCEBEA, ABCBDCEBEB, ABCBDCEBEC, ABCBDCEBED, ABCBDCEBEE, ABCBDCEBEF, ABCBDCEBFA, ABCBDCEBFB, ABCBDCEBFC, ABCBDCEBFD, ABCBDCEBFE, ABCBDCEBFF, ABCBDCEBFG, ABCBDCECAA, ABCBDCECAB, ABCBDCECAC, ABCBDCECAD, ABCBDCECAE, ABCBDCECAF, ABCBDCECBA, ABCBDCECBB, ABCBDCECBC, ABCBDCECBD, ABCBDCECBE, ABCBDCECBF, ABCBDCECCA, ABCBDCECCB, ABCBDCECCC, ABCBDCECCD, ABCBDCECCE, ABCBDCECCF, ABCBDCECDA, ABCBDCECDB, ABCBDCECDC, ABCBDCECDD, ABCBDCECDE, ABCBDCECDF, ABCBDCECEA, ABCBDCECEB, ABCBDCECEC, ABCBDCECED, ABCBDCECEE, ABCBDCECEF, ABCBDCECFA, ABCBDCECFB, ABCBDCECFC, ABCBDCECFD, ABCBDCECFE, ABCBDCECFF, ABCBDCECFG, ABCBDCEDAA, ABCBDCEDAB, ABCBDCEDAC, ABCBDCEDAD, ABCBDCEDAE, ABCBDCEDAF, ABCBDCEDBA, ABCBDCEDBB, ABCBDCEDBC, ABCBDCEDBD, ABCBDCEDBE, ABCBDCEDBF, ABCBDCEDCA, ABCBDCEDCB, ABCBDCEDCC, ABCBDCEDCD, ABCBDCEDCE, ABCBDCEDCF, ABCBDCEDDA, ABCBDCEDDB, ABCBDCEDDC, ABCBDCEDDD, ABCBDCEDDE, ABCBDCEDDF, ABCBDCEDEA, ABCBDCEDEB, ABCBDCEDEC, ABCBDCEDED, ABCBDCEDEE, ABCBDCEDEF, ABCBDCEDFA, ABCBDCEDFB, ABCBDCEDFC, ABCBDCEDFD, ABCBDCEDFE, ABCBDCEDFF, ABCBDCEDFG, ABCBDCEEAA, ABCBDCEEAB, ABCBDCEEAC, ABCBDCEEAD, ABCBDCEEAE, ABCBDCEEAF, ABCBDCEEBA, ABCBDCEEBB, ABCBDCEEBC, ABCBDCEEBD, ABCBDCEEBE, ABCBDCEEBF, ABCBDCEECA, ABCBDCEECB, ABCBDCEECC, ABCBDCEECD, ABCBDCEECE, ABCBDCEECF, ABCBDCEEDA, ABCBDCEEDB, ABCBDCEEDC, ABCBDCEEDD, ABCBDCEEDE, ABCBDCEEDF, ABCBDCEEEA, ABCBDCEEEB, ABCBDCEEEC, ABCBDCEEED, ABCBDCEEEE, ABCBDCEEEF, ABCBDCEEFA, ABCBDCEEFB, ABCBDCEEFC, ABCBDCEEFD, ABCBDCEEFE, ABCBDCEEFF, ABCBDCEEFG, ABCBDCEFAA, ABCBDCEFAB, ABCBDCEFAC, ABCBDCEFAD, ABCBDCEFAE, ABCBDCEFAF, ABCBDCEFAG, ABCBDCEFBA, ABCBDCEFBB, ABCBDCEFBC, ABCBDCEFBD, ABCBDCEFBE, ABCBDCEFBF, ABCBDCEFBG, ABCBDCEFCA, ABCBDCEFCB, ABCBDCEFCC, ABCBDCEFCD, ABCBDCEFCE, ABCBDCEFCF, ABCBDCEFCG, ABCBDCEFDA, ABCBDCEFDB, ABCBDCEFDC, ABCBDCEFDD, ABCBDCEFDE, ABCBDCEFDF, ABCBDCEFDG, ABCBDCEFEA, ABCBDCEFEB, ABCBDCEFEC, ABCBDCEFED, ABCBDCEFEE, ABCBDCEFEF, ABCBDCEFEG, ABCBDCEFFA, ABCBDCEFFB, ABCBDCEFFC, ABCBDCEFFD, ABCBDCEFFE, ABCBDCEFFF, ABCBDCEFFG, ABCBDCEFGA, ABCBDCEFGB, ABCBDCEFGC, ABCBDCEFGD, ABCBDCEFGE, ABCBDCEFGF, ABCBDCEFGG, ABCBDCEFGH, ABCBDDAAAA, ABCBDDAAAB, ABCBDDAAAC, ABCBDDAAAD, ABCBDDAAAE, ABCBDDAABA, ABCBDDAABB, ABCBDDAABC, ABCBDDAABD, ABCBDDAABE, ABCBDDAACA, ABCBDDAACB, ABCBDDAACC, ABCBDDAACD, ABCBDDAACE, ABCBDDAADA, ABCBDDAADB, ABCBDDAADC, ABCBDDAADD, ABCBDDAADE, ABCBDDAAEA, ABCBDDAAEB, ABCBDDAAEC, ABCBDDAAED, ABCBDDAAEE, ABCBDDAAEF, ABCBDDABAA, ABCBDDABAB, ABCBDDABAC, ABCBDDABAD, ABCBDDABAE, ABCBDDABBA, ABCBDDABBB, ABCBDDABBC, ABCBDDABBD, ABCBDDABBE, ABCBDDABCA, ABCBDDABCB, ABCBDDABCC, ABCBDDABCD, ABCBDDABCE, ABCBDDABDA, ABCBDDABDB, ABCBDDABDC, ABCBDDABDD, ABCBDDABDE, ABCBDDABEA, ABCBDDABEB, ABCBDDABEC, ABCBDDABED, ABCBDDABEE, ABCBDDABEF, ABCBDDACAA, ABCBDDACAB, ABCBDDACAC, ABCBDDACAD, ABCBDDACAE, ABCBDDACBA, ABCBDDACBB, ABCBDDACBC, ABCBDDACBD, ABCBDDACBE, ABCBDDACCA, ABCBDDACCB, ABCBDDACCC, ABCBDDACCD, ABCBDDACCE, ABCBDDACDA, ABCBDDACDB, ABCBDDACDC, ABCBDDACDD, ABCBDDACDE, ABCBDDACEA, ABCBDDACEB, ABCBDDACEC, ABCBDDACED, ABCBDDACEE, ABCBDDACEF, ABCBDDADAA, ABCBDDADAB, ABCBDDADAC, ABCBDDADAD, ABCBDDADAE, ABCBDDADBA, ABCBDDADBB, ABCBDDADBC, ABCBDDADBD, ABCBDDADBE, ABCBDDADCA, ABCBDDADCB, ABCBDDADCC, ABCBDDADCD, ABCBDDADCE, ABCBDDADDA, ABCBDDADDB, ABCBDDADDC, ABCBDDADDD, ABCBDDADDE, ABCBDDADEA, ABCBDDADEB, ABCBDDADEC, ABCBDDADED, ABCBDDADEE, ABCBDDADEF, ABCBDDAEAA, ABCBDDAEAB, ABCBDDAEAC, ABCBDDAEAD, ABCBDDAEAE, ABCBDDAEAF, ABCBDDAEBA, ABCBDDAEBB, ABCBDDAEBC, ABCBDDAEBD, ABCBDDAEBE, ABCBDDAEBF, ABCBDDAECA, ABCBDDAECB, ABCBDDAECC, ABCBDDAECD, ABCBDDAECE, ABCBDDAECF, ABCBDDAEDA, ABCBDDAEDB, ABCBDDAEDC, ABCBDDAEDD, ABCBDDAEDE, ABCBDDAEDF, ABCBDDAEEA, ABCBDDAEEB, ABCBDDAEEC, ABCBDDAEED, ABCBDDAEEE, ABCBDDAEEF, ABCBDDAEFA, ABCBDDAEFB, ABCBDDAEFC, ABCBDDAEFD, ABCBDDAEFE, ABCBDDAEFF, ABCBDDAEFG, ABCBDDBAAA, ABCBDDBAAB, ABCBDDBAAC, ABCBDDBAAD, ABCBDDBAAE, ABCBDDBABA, ABCBDDBABB, ABCBDDBABC, ABCBDDBABD, ABCBDDBABE, ABCBDDBACA, ABCBDDBACB, ABCBDDBACC, ABCBDDBACD, ABCBDDBACE, ABCBDDBADA, ABCBDDBADB, ABCBDDBADC, ABCBDDBADD, ABCBDDBADE, ABCBDDBAEA, ABCBDDBAEB, ABCBDDBAEC, ABCBDDBAED, ABCBDDBAEE, ABCBDDBAEF, ABCBDDBBAA, ABCBDDBBAB, ABCBDDBBAC, ABCBDDBBAD, ABCBDDBBAE, ABCBDDBBBA, ABCBDDBBBB, ABCBDDBBBC, ABCBDDBBBD, ABCBDDBBBE, ABCBDDBBCA, ABCBDDBBCB, ABCBDDBBCC, ABCBDDBBCD, ABCBDDBBCE, ABCBDDBBDA, ABCBDDBBDB, ABCBDDBBDC, ABCBDDBBDD, ABCBDDBBDE, ABCBDDBBEA, ABCBDDBBEB, ABCBDDBBEC, ABCBDDBBED, ABCBDDBBEE, ABCBDDBBEF, ABCBDDBCAA, ABCBDDBCAB, ABCBDDBCAC, ABCBDDBCAD, ABCBDDBCAE, ABCBDDBCBA, ABCBDDBCBB, ABCBDDBCBC, ABCBDDBCBD, ABCBDDBCBE, ABCBDDBCCA, ABCBDDBCCB, ABCBDDBCCC, ABCBDDBCCD, ABCBDDBCCE, ABCBDDBCDA, ABCBDDBCDB, ABCBDDBCDC, ABCBDDBCDD, ABCBDDBCDE, ABCBDDBCEA, ABCBDDBCEB, ABCBDDBCEC, ABCBDDBCED, ABCBDDBCEE, ABCBDDBCEF, ABCBDDBDAA, ABCBDDBDAB, ABCBDDBDAC, ABCBDDBDAD, ABCBDDBDAE, ABCBDDBDBA, ABCBDDBDBB, ABCBDDBDBC, ABCBDDBDBD, ABCBDDBDBE, ABCBDDBDCA, ABCBDDBDCB, ABCBDDBDCC, ABCBDDBDCD, ABCBDDBDCE, ABCBDDBDDA, ABCBDDBDDB, ABCBDDBDDC, ABCBDDBDDD, ABCBDDBDDE, ABCBDDBDEA, ABCBDDBDEB, ABCBDDBDEC, ABCBDDBDED, ABCBDDBDEE, ABCBDDBDEF, ABCBDDBEAA, ABCBDDBEAB, ABCBDDBEAC, ABCBDDBEAD, ABCBDDBEAE, ABCBDDBEAF, ABCBDDBEBA, ABCBDDBEBB, ABCBDDBEBC, ABCBDDBEBD, ABCBDDBEBE, ABCBDDBEBF, ABCBDDBECA, ABCBDDBECB, ABCBDDBECC, ABCBDDBECD, ABCBDDBECE, ABCBDDBECF, ABCBDDBEDA, ABCBDDBEDB, ABCBDDBEDC, ABCBDDBEDD, ABCBDDBEDE, ABCBDDBEDF, ABCBDDBEEA, ABCBDDBEEB, ABCBDDBEEC, ABCBDDBEED, ABCBDDBEEE, ABCBDDBEEF, ABCBDDBEFA, ABCBDDBEFB, ABCBDDBEFC, ABCBDDBEFD, ABCBDDBEFE, ABCBDDBEFF, ABCBDDBEFG, ABCBDDCAAA, ABCBDDCAAB, ABCBDDCAAC, ABCBDDCAAD, ABCBDDCAAE, ABCBDDCABA, ABCBDDCABB, ABCBDDCABC, ABCBDDCABD, ABCBDDCABE, ABCBDDCACA, ABCBDDCACB, ABCBDDCACC, ABCBDDCACD, ABCBDDCACE, ABCBDDCADA, ABCBDDCADB, ABCBDDCADC, ABCBDDCADD, ABCBDDCADE, ABCBDDCAEA, ABCBDDCAEB, ABCBDDCAEC, ABCBDDCAED, ABCBDDCAEE, ABCBDDCAEF, ABCBDDCBAA, ABCBDDCBAB, ABCBDDCBAC, ABCBDDCBAD, ABCBDDCBAE, ABCBDDCBBA, ABCBDDCBBB, ABCBDDCBBC, ABCBDDCBBD, ABCBDDCBBE, ABCBDDCBCA, ABCBDDCBCB, ABCBDDCBCC, ABCBDDCBCD, ABCBDDCBCE, ABCBDDCBDA, ABCBDDCBDB, ABCBDDCBDC, ABCBDDCBDD, ABCBDDCBDE, ABCBDDCBEA, ABCBDDCBEB, ABCBDDCBEC, ABCBDDCBED, ABCBDDCBEE, ABCBDDCBEF, ABCBDDCCAA, 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ABCCBDBEFC, ABCCBDBEFD, ABCCBDBEFE, ABCCBDBEFF, ABCCBDBEFG, ABCCBDCAAA, ABCCBDCAAB, ABCCBDCAAC, ABCCBDCAAD, ABCCBDCAAE, ABCCBDCABA, ABCCBDCABB, ABCCBDCABC, ABCCBDCABD, ABCCBDCABE, ABCCBDCACA, ABCCBDCACB, ABCCBDCACC, ABCCBDCACD, ABCCBDCACE, ABCCBDCADA, ABCCBDCADB, ABCCBDCADC, ABCCBDCADD, ABCCBDCADE, ABCCBDCAEA, ABCCBDCAEB, ABCCBDCAEC, ABCCBDCAED, ABCCBDCAEE, ABCCBDCAEF, ABCCBDCBAA, ABCCBDCBAB, ABCCBDCBAC, ABCCBDCBAD, ABCCBDCBAE, ABCCBDCBBA, ABCCBDCBBB, ABCCBDCBBC, ABCCBDCBBD, ABCCBDCBBE, ABCCBDCBCA, ABCCBDCBCB, ABCCBDCBCC, ABCCBDCBCD, ABCCBDCBCE, ABCCBDCBDA, ABCCBDCBDB, ABCCBDCBDC, ABCCBDCBDD, ABCCBDCBDE, ABCCBDCBEA, ABCCBDCBEB, ABCCBDCBEC, ABCCBDCBED, ABCCBDCBEE, ABCCBDCBEF, ABCCBDCCAA, ABCCBDCCAB, ABCCBDCCAC, ABCCBDCCAD, ABCCBDCCAE, ABCCBDCCBA, ABCCBDCCBB, ABCCBDCCBC, ABCCBDCCBD, ABCCBDCCBE, ABCCBDCCCA, ABCCBDCCCB, ABCCBDCCCC, ABCCBDCCCD, ABCCBDCCCE, ABCCBDCCDA, ABCCBDCCDB, ABCCBDCCDC, ABCCBDCCDD, ABCCBDCCDE, ABCCBDCCEA, ABCCBDCCEB, ABCCBDCCEC, ABCCBDCCED, ABCCBDCCEE, ABCCBDCCEF, 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ABCCDADBDE, ABCCDADBEA, ABCCDADBEB, ABCCDADBEC, ABCCDADBED, ABCCDADBEE, ABCCDADBEF, ABCCDADCAA, ABCCDADCAB, ABCCDADCAC, ABCCDADCAD, ABCCDADCAE, ABCCDADCBA, ABCCDADCBB, ABCCDADCBC, ABCCDADCBD, ABCCDADCBE, ABCCDADCCA, ABCCDADCCB, ABCCDADCCC, ABCCDADCCD, ABCCDADCCE, ABCCDADCDA, ABCCDADCDB, ABCCDADCDC, ABCCDADCDD, ABCCDADCDE, ABCCDADCEA, ABCCDADCEB, ABCCDADCEC, ABCCDADCED, ABCCDADCEE, ABCCDADCEF, ABCCDADDAA, ABCCDADDAB, ABCCDADDAC, ABCCDADDAD, ABCCDADDAE, ABCCDADDBA, ABCCDADDBB, ABCCDADDBC, ABCCDADDBD, ABCCDADDBE, ABCCDADDCA, ABCCDADDCB, ABCCDADDCC, ABCCDADDCD, ABCCDADDCE, ABCCDADDDA, ABCCDADDDB, ABCCDADDDC, ABCCDADDDD, ABCCDADDDE, ABCCDADDEA, ABCCDADDEB, ABCCDADDEC, ABCCDADDED, ABCCDADDEE, ABCCDADDEF, ABCCDADEAA, ABCCDADEAB, ABCCDADEAC, ABCCDADEAD, ABCCDADEAE, ABCCDADEAF, ABCCDADEBA, ABCCDADEBB, ABCCDADEBC, ABCCDADEBD, ABCCDADEBE, ABCCDADEBF, ABCCDADECA, ABCCDADECB, ABCCDADECC, ABCCDADECD, ABCCDADECE, ABCCDADECF, ABCCDADEDA, ABCCDADEDB, ABCCDADEDC, ABCCDADEDD, ABCCDADEDE, ABCCDADEDF, ABCCDADEEA, ABCCDADEEB, ABCCDADEEC, ABCCDADEED, ABCCDADEEE, ABCCDADEEF, ABCCDADEFA, ABCCDADEFB, ABCCDADEFC, ABCCDADEFD, ABCCDADEFE, ABCCDADEFF, ABCCDADEFG, ABCCDAEAAA, ABCCDAEAAB, ABCCDAEAAC, ABCCDAEAAD, ABCCDAEAAE, ABCCDAEAAF, ABCCDAEABA, ABCCDAEABB, ABCCDAEABC, ABCCDAEABD, ABCCDAEABE, ABCCDAEABF, ABCCDAEACA, ABCCDAEACB, ABCCDAEACC, ABCCDAEACD, ABCCDAEACE, ABCCDAEACF, ABCCDAEADA, ABCCDAEADB, ABCCDAEADC, ABCCDAEADD, ABCCDAEADE, ABCCDAEADF, ABCCDAEAEA, ABCCDAEAEB, ABCCDAEAEC, ABCCDAEAED, ABCCDAEAEE, ABCCDAEAEF, ABCCDAEAFA, ABCCDAEAFB, ABCCDAEAFC, ABCCDAEAFD, ABCCDAEAFE, ABCCDAEAFF, ABCCDAEAFG, ABCCDAEBAA, ABCCDAEBAB, ABCCDAEBAC, ABCCDAEBAD, ABCCDAEBAE, ABCCDAEBAF, ABCCDAEBBA, ABCCDAEBBB, ABCCDAEBBC, ABCCDAEBBD, ABCCDAEBBE, ABCCDAEBBF, ABCCDAEBCA, ABCCDAEBCB, ABCCDAEBCC, ABCCDAEBCD, ABCCDAEBCE, ABCCDAEBCF, ABCCDAEBDA, ABCCDAEBDB, ABCCDAEBDC, ABCCDAEBDD, ABCCDAEBDE, ABCCDAEBDF, ABCCDAEBEA, ABCCDAEBEB, ABCCDAEBEC, ABCCDAEBED, ABCCDAEBEE, ABCCDAEBEF, ABCCDAEBFA, ABCCDAEBFB, ABCCDAEBFC, ABCCDAEBFD, ABCCDAEBFE, ABCCDAEBFF, ABCCDAEBFG, ABCCDAECAA, ABCCDAECAB, ABCCDAECAC, ABCCDAECAD, ABCCDAECAE, ABCCDAECAF, ABCCDAECBA, ABCCDAECBB, ABCCDAECBC, ABCCDAECBD, ABCCDAECBE, ABCCDAECBF, ABCCDAECCA, ABCCDAECCB, ABCCDAECCC, ABCCDAECCD, ABCCDAECCE, ABCCDAECCF, ABCCDAECDA, ABCCDAECDB, ABCCDAECDC, ABCCDAECDD, ABCCDAECDE, ABCCDAECDF, ABCCDAECEA, ABCCDAECEB, ABCCDAECEC, ABCCDAECED, ABCCDAECEE, ABCCDAECEF, ABCCDAECFA, ABCCDAECFB, ABCCDAECFC, ABCCDAECFD, ABCCDAECFE, ABCCDAECFF, ABCCDAECFG, ABCCDAEDAA, ABCCDAEDAB, ABCCDAEDAC, ABCCDAEDAD, ABCCDAEDAE, ABCCDAEDAF, ABCCDAEDBA, ABCCDAEDBB, ABCCDAEDBC, ABCCDAEDBD, ABCCDAEDBE, ABCCDAEDBF, ABCCDAEDCA, ABCCDAEDCB, ABCCDAEDCC, ABCCDAEDCD, ABCCDAEDCE, ABCCDAEDCF, ABCCDAEDDA, ABCCDAEDDB, ABCCDAEDDC, ABCCDAEDDD, ABCCDAEDDE, ABCCDAEDDF, ABCCDAEDEA, ABCCDAEDEB, ABCCDAEDEC, ABCCDAEDED, ABCCDAEDEE, ABCCDAEDEF, ABCCDAEDFA, ABCCDAEDFB, ABCCDAEDFC, ABCCDAEDFD, ABCCDAEDFE, ABCCDAEDFF, ABCCDAEDFG, ABCCDAEEAA, ABCCDAEEAB, ABCCDAEEAC, ABCCDAEEAD, ABCCDAEEAE, ABCCDAEEAF, ABCCDAEEBA, ABCCDAEEBB, ABCCDAEEBC, ABCCDAEEBD, ABCCDAEEBE, ABCCDAEEBF, ABCCDAEECA, ABCCDAEECB, ABCCDAEECC, ABCCDAEECD, ABCCDAEECE, ABCCDAEECF, ABCCDAEEDA, ABCCDAEEDB, ABCCDAEEDC, ABCCDAEEDD, ABCCDAEEDE, ABCCDAEEDF, ABCCDAEEEA, ABCCDAEEEB, ABCCDAEEEC, ABCCDAEEED, ABCCDAEEEE, ABCCDAEEEF, ABCCDAEEFA, ABCCDAEEFB, ABCCDAEEFC, ABCCDAEEFD, ABCCDAEEFE, ABCCDAEEFF, ABCCDAEEFG, ABCCDAEFAA, ABCCDAEFAB, ABCCDAEFAC, ABCCDAEFAD, ABCCDAEFAE, ABCCDAEFAF, ABCCDAEFAG, ABCCDAEFBA, ABCCDAEFBB, ABCCDAEFBC, ABCCDAEFBD, ABCCDAEFBE, ABCCDAEFBF, ABCCDAEFBG, ABCCDAEFCA, ABCCDAEFCB, ABCCDAEFCC, ABCCDAEFCD, ABCCDAEFCE, ABCCDAEFCF, ABCCDAEFCG, ABCCDAEFDA, ABCCDAEFDB, ABCCDAEFDC, ABCCDAEFDD, ABCCDAEFDE, ABCCDAEFDF, ABCCDAEFDG, ABCCDAEFEA, ABCCDAEFEB, ABCCDAEFEC, ABCCDAEFED, ABCCDAEFEE, ABCCDAEFEF, ABCCDAEFEG, ABCCDAEFFA, ABCCDAEFFB, ABCCDAEFFC, ABCCDAEFFD, ABCCDAEFFE, ABCCDAEFFF, ABCCDAEFFG, ABCCDAEFGA, ABCCDAEFGB, ABCCDAEFGC, ABCCDAEFGD, ABCCDAEFGE, ABCCDAEFGF, ABCCDAEFGG, ABCCDAEFGH, ABCCDBAAAA, ABCCDBAAAB, ABCCDBAAAC, ABCCDBAAAD, ABCCDBAAAE, ABCCDBAABA, ABCCDBAABB, ABCCDBAABC, ABCCDBAABD, ABCCDBAABE, ABCCDBAACA, ABCCDBAACB, ABCCDBAACC, ABCCDBAACD, ABCCDBAACE, ABCCDBAADA, ABCCDBAADB, ABCCDBAADC, ABCCDBAADD, ABCCDBAADE, ABCCDBAAEA, ABCCDBAAEB, ABCCDBAAEC, ABCCDBAAED, ABCCDBAAEE, ABCCDBAAEF, ABCCDBABAA, ABCCDBABAB, ABCCDBABAC, ABCCDBABAD, ABCCDBABAE, ABCCDBABBA, ABCCDBABBB, ABCCDBABBC, ABCCDBABBD, ABCCDBABBE, ABCCDBABCA, ABCCDBABCB, ABCCDBABCC, ABCCDBABCD, ABCCDBABCE, ABCCDBABDA, ABCCDBABDB, ABCCDBABDC, ABCCDBABDD, ABCCDBABDE, ABCCDBABEA, ABCCDBABEB, ABCCDBABEC, ABCCDBABED, ABCCDBABEE, ABCCDBABEF, ABCCDBACAA, ABCCDBACAB, ABCCDBACAC, ABCCDBACAD, ABCCDBACAE, ABCCDBACBA, ABCCDBACBB, ABCCDBACBC, ABCCDBACBD, ABCCDBACBE, ABCCDBACCA, ABCCDBACCB, ABCCDBACCC, ABCCDBACCD, ABCCDBACCE, ABCCDBACDA, ABCCDBACDB, ABCCDBACDC, ABCCDBACDD, ABCCDBACDE, ABCCDBACEA, ABCCDBACEB, ABCCDBACEC, ABCCDBACED, ABCCDBACEE, ABCCDBACEF, ABCCDBADAA, ABCCDBADAB, ABCCDBADAC, ABCCDBADAD, ABCCDBADAE, ABCCDBADBA, ABCCDBADBB, ABCCDBADBC, ABCCDBADBD, ABCCDBADBE, ABCCDBADCA, ABCCDBADCB, ABCCDBADCC, ABCCDBADCD, ABCCDBADCE, ABCCDBADDA, ABCCDBADDB, ABCCDBADDC, ABCCDBADDD, ABCCDBADDE, ABCCDBADEA, ABCCDBADEB, ABCCDBADEC, ABCCDBADED, ABCCDBADEE, ABCCDBADEF, ABCCDBAEAA, ABCCDBAEAB, ABCCDBAEAC, ABCCDBAEAD, ABCCDBAEAE, ABCCDBAEAF, ABCCDBAEBA, ABCCDBAEBB, ABCCDBAEBC, ABCCDBAEBD, ABCCDBAEBE, ABCCDBAEBF, ABCCDBAECA, ABCCDBAECB, ABCCDBAECC, ABCCDBAECD, ABCCDBAECE, ABCCDBAECF, ABCCDBAEDA, ABCCDBAEDB, ABCCDBAEDC, ABCCDBAEDD, ABCCDBAEDE, ABCCDBAEDF, ABCCDBAEEA, ABCCDBAEEB, ABCCDBAEEC, ABCCDBAEED, ABCCDBAEEE, ABCCDBAEEF, ABCCDBAEFA, ABCCDBAEFB, ABCCDBAEFC, ABCCDBAEFD, ABCCDBAEFE, ABCCDBAEFF, ABCCDBAEFG, ABCCDBBAAA, ABCCDBBAAB, ABCCDBBAAC, ABCCDBBAAD, ABCCDBBAAE, ABCCDBBABA, ABCCDBBABB, ABCCDBBABC, ABCCDBBABD, ABCCDBBABE, ABCCDBBACA, ABCCDBBACB, ABCCDBBACC, ABCCDBBACD, ABCCDBBACE, ABCCDBBADA, ABCCDBBADB, ABCCDBBADC, ABCCDBBADD, ABCCDBBADE, ABCCDBBAEA, ABCCDBBAEB, ABCCDBBAEC, ABCCDBBAED, ABCCDBBAEE, ABCCDBBAEF, ABCCDBBBAA, ABCCDBBBAB, ABCCDBBBAC, ABCCDBBBAD, ABCCDBBBAE, ABCCDBBBBA, ABCCDBBBBB, ABCCDBBBBC, ABCCDBBBBD, ABCCDBBBBE, ABCCDBBBCA, ABCCDBBBCB, ABCCDBBBCC, ABCCDBBBCD, ABCCDBBBCE, ABCCDBBBDA, ABCCDBBBDB, ABCCDBBBDC, ABCCDBBBDD, ABCCDBBBDE, ABCCDBBBEA, ABCCDBBBEB, ABCCDBBBEC, ABCCDBBBED, ABCCDBBBEE, ABCCDBBBEF, ABCCDBBCAA, ABCCDBBCAB, ABCCDBBCAC, ABCCDBBCAD, ABCCDBBCAE, ABCCDBBCBA, ABCCDBBCBB, ABCCDBBCBC, ABCCDBBCBD, ABCCDBBCBE, ABCCDBBCCA, ABCCDBBCCB, ABCCDBBCCC, ABCCDBBCCD, ABCCDBBCCE, ABCCDBBCDA, ABCCDBBCDB, ABCCDBBCDC, ABCCDBBCDD, ABCCDBBCDE, ABCCDBBCEA, ABCCDBBCEB, ABCCDBBCEC, ABCCDBBCED, ABCCDBBCEE, ABCCDBBCEF, ABCCDBBDAA, ABCCDBBDAB, ABCCDBBDAC, ABCCDBBDAD, ABCCDBBDAE, ABCCDBBDBA, ABCCDBBDBB, ABCCDBBDBC, ABCCDBBDBD, ABCCDBBDBE, ABCCDBBDCA, ABCCDBBDCB, ABCCDBBDCC, ABCCDBBDCD, ABCCDBBDCE, ABCCDBBDDA, ABCCDBBDDB, ABCCDBBDDC, ABCCDBBDDD, ABCCDBBDDE, ABCCDBBDEA, ABCCDBBDEB, ABCCDBBDEC, ABCCDBBDED, ABCCDBBDEE, ABCCDBBDEF, ABCCDBBEAA, ABCCDBBEAB, ABCCDBBEAC, ABCCDBBEAD, ABCCDBBEAE, ABCCDBBEAF, ABCCDBBEBA, ABCCDBBEBB, ABCCDBBEBC, ABCCDBBEBD, ABCCDBBEBE, ABCCDBBEBF, ABCCDBBECA, ABCCDBBECB, ABCCDBBECC, ABCCDBBECD, ABCCDBBECE, ABCCDBBECF, ABCCDBBEDA, ABCCDBBEDB, ABCCDBBEDC, ABCCDBBEDD, ABCCDBBEDE, ABCCDBBEDF, ABCCDBBEEA, ABCCDBBEEB, ABCCDBBEEC, ABCCDBBEED, ABCCDBBEEE, ABCCDBBEEF, ABCCDBBEFA, ABCCDBBEFB, ABCCDBBEFC, ABCCDBBEFD, ABCCDBBEFE, ABCCDBBEFF, ABCCDBBEFG, ABCCDBCAAA, ABCCDBCAAB, ABCCDBCAAC, ABCCDBCAAD, ABCCDBCAAE, ABCCDBCABA, ABCCDBCABB, ABCCDBCABC, ABCCDBCABD, ABCCDBCABE, ABCCDBCACA, ABCCDBCACB, ABCCDBCACC, ABCCDBCACD, ABCCDBCACE, ABCCDBCADA, ABCCDBCADB, ABCCDBCADC, ABCCDBCADD, ABCCDBCADE, ABCCDBCAEA, ABCCDBCAEB, ABCCDBCAEC, ABCCDBCAED, ABCCDBCAEE, ABCCDBCAEF, ABCCDBCBAA, ABCCDBCBAB, ABCCDBCBAC, ABCCDBCBAD, ABCCDBCBAE, ABCCDBCBBA, ABCCDBCBBB, ABCCDBCBBC, ABCCDBCBBD, ABCCDBCBBE, ABCCDBCBCA, ABCCDBCBCB, ABCCDBCBCC, ABCCDBCBCD, ABCCDBCBCE, ABCCDBCBDA, ABCCDBCBDB, ABCCDBCBDC, ABCCDBCBDD, ABCCDBCBDE, ABCCDBCBEA, ABCCDBCBEB, ABCCDBCBEC, ABCCDBCBED, ABCCDBCBEE, ABCCDBCBEF, ABCCDBCCAA, ABCCDBCCAB, ABCCDBCCAC, ABCCDBCCAD, ABCCDBCCAE, ABCCDBCCBA, ABCCDBCCBB, ABCCDBCCBC, ABCCDBCCBD, ABCCDBCCBE, ABCCDBCCCA, ABCCDBCCCB, ABCCDBCCCC, ABCCDBCCCD, ABCCDBCCCE, ABCCDBCCDA, ABCCDBCCDB, ABCCDBCCDC, ABCCDBCCDD, ABCCDBCCDE, ABCCDBCCEA, ABCCDBCCEB, ABCCDBCCEC, ABCCDBCCED, ABCCDBCCEE, ABCCDBCCEF, ABCCDBCDAA, ABCCDBCDAB, ABCCDBCDAC, ABCCDBCDAD, ABCCDBCDAE, ABCCDBCDBA, ABCCDBCDBB, ABCCDBCDBC, ABCCDBCDBD, ABCCDBCDBE, ABCCDBCDCA, ABCCDBCDCB, ABCCDBCDCC, ABCCDBCDCD, ABCCDBCDCE, ABCCDBCDDA, ABCCDBCDDB, ABCCDBCDDC, ABCCDBCDDD, ABCCDBCDDE, ABCCDBCDEA, ABCCDBCDEB, ABCCDBCDEC, ABCCDBCDED, ABCCDBCDEE, ABCCDBCDEF, ABCCDBCEAA, ABCCDBCEAB, ABCCDBCEAC, ABCCDBCEAD, ABCCDBCEAE, ABCCDBCEAF, ABCCDBCEBA, ABCCDBCEBB, ABCCDBCEBC, ABCCDBCEBD, ABCCDBCEBE, ABCCDBCEBF, ABCCDBCECA, ABCCDBCECB, ABCCDBCECC, ABCCDBCECD, ABCCDBCECE, ABCCDBCECF, ABCCDBCEDA, ABCCDBCEDB, ABCCDBCEDC, ABCCDBCEDD, ABCCDBCEDE, ABCCDBCEDF, ABCCDBCEEA, ABCCDBCEEB, ABCCDBCEEC, ABCCDBCEED, ABCCDBCEEE, ABCCDBCEEF, ABCCDBCEFA, ABCCDBCEFB, ABCCDBCEFC, ABCCDBCEFD, ABCCDBCEFE, ABCCDBCEFF, ABCCDBCEFG, ABCCDBDAAA, ABCCDBDAAB, ABCCDBDAAC, ABCCDBDAAD, ABCCDBDAAE, ABCCDBDABA, ABCCDBDABB, ABCCDBDABC, ABCCDBDABD, ABCCDBDABE, ABCCDBDACA, ABCCDBDACB, ABCCDBDACC, ABCCDBDACD, ABCCDBDACE, ABCCDBDADA, ABCCDBDADB, ABCCDBDADC, ABCCDBDADD, ABCCDBDADE, ABCCDBDAEA, ABCCDBDAEB, ABCCDBDAEC, ABCCDBDAED, ABCCDBDAEE, ABCCDBDAEF, ABCCDBDBAA, ABCCDBDBAB, ABCCDBDBAC, ABCCDBDBAD, ABCCDBDBAE, ABCCDBDBBA, ABCCDBDBBB, ABCCDBDBBC, ABCCDBDBBD, ABCCDBDBBE, ABCCDBDBCA, ABCCDBDBCB, ABCCDBDBCC, ABCCDBDBCD, ABCCDBDBCE, ABCCDBDBDA, ABCCDBDBDB, ABCCDBDBDC, ABCCDBDBDD, ABCCDBDBDE, ABCCDBDBEA, ABCCDBDBEB, ABCCDBDBEC, ABCCDBDBED, ABCCDBDBEE, ABCCDBDBEF, ABCCDBDCAA, ABCCDBDCAB, ABCCDBDCAC, ABCCDBDCAD, ABCCDBDCAE, ABCCDBDCBA, ABCCDBDCBB, ABCCDBDCBC, ABCCDBDCBD, ABCCDBDCBE, ABCCDBDCCA, ABCCDBDCCB, ABCCDBDCCC, ABCCDBDCCD, ABCCDBDCCE, ABCCDBDCDA, ABCCDBDCDB, ABCCDBDCDC, ABCCDBDCDD, ABCCDBDCDE, ABCCDBDCEA, ABCCDBDCEB, ABCCDBDCEC, ABCCDBDCED, ABCCDBDCEE, ABCCDBDCEF, ABCCDBDDAA, ABCCDBDDAB, ABCCDBDDAC, ABCCDBDDAD, ABCCDBDDAE, ABCCDBDDBA, ABCCDBDDBB, ABCCDBDDBC, ABCCDBDDBD, ABCCDBDDBE, ABCCDBDDCA, ABCCDBDDCB, ABCCDBDDCC, ABCCDBDDCD, ABCCDBDDCE, ABCCDBDDDA, ABCCDBDDDB, ABCCDBDDDC, ABCCDBDDDD, ABCCDBDDDE, ABCCDBDDEA, ABCCDBDDEB, ABCCDBDDEC, ABCCDBDDED, ABCCDBDDEE, ABCCDBDDEF, ABCCDBDEAA, ABCCDBDEAB, ABCCDBDEAC, ABCCDBDEAD, ABCCDBDEAE, ABCCDBDEAF, ABCCDBDEBA, ABCCDBDEBB, ABCCDBDEBC, ABCCDBDEBD, ABCCDBDEBE, ABCCDBDEBF, ABCCDBDECA, ABCCDBDECB, ABCCDBDECC, ABCCDBDECD, ABCCDBDECE, ABCCDBDECF, ABCCDBDEDA, ABCCDBDEDB, ABCCDBDEDC, ABCCDBDEDD, ABCCDBDEDE, ABCCDBDEDF, ABCCDBDEEA, ABCCDBDEEB, ABCCDBDEEC, ABCCDBDEED, ABCCDBDEEE, ABCCDBDEEF, ABCCDBDEFA, ABCCDBDEFB, ABCCDBDEFC, ABCCDBDEFD, ABCCDBDEFE, ABCCDBDEFF, ABCCDBDEFG, ABCCDBEAAA, ABCCDBEAAB, ABCCDBEAAC, ABCCDBEAAD, ABCCDBEAAE, ABCCDBEAAF, ABCCDBEABA, ABCCDBEABB, ABCCDBEABC, ABCCDBEABD, ABCCDBEABE, ABCCDBEABF, ABCCDBEACA, ABCCDBEACB, ABCCDBEACC, ABCCDBEACD, ABCCDBEACE, ABCCDBEACF, 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ABCCDCDAEE, ABCCDCDAEF, ABCCDCDBAA, ABCCDCDBAB, ABCCDCDBAC, ABCCDCDBAD, ABCCDCDBAE, ABCCDCDBBA, ABCCDCDBBB, ABCCDCDBBC, ABCCDCDBBD, ABCCDCDBBE, ABCCDCDBCA, ABCCDCDBCB, ABCCDCDBCC, ABCCDCDBCD, ABCCDCDBCE, ABCCDCDBDA, ABCCDCDBDB, ABCCDCDBDC, ABCCDCDBDD, ABCCDCDBDE, ABCCDCDBEA, ABCCDCDBEB, ABCCDCDBEC, ABCCDCDBED, ABCCDCDBEE, ABCCDCDBEF, ABCCDCDCAA, ABCCDCDCAB, ABCCDCDCAC, ABCCDCDCAD, ABCCDCDCAE, ABCCDCDCBA, ABCCDCDCBB, ABCCDCDCBC, ABCCDCDCBD, ABCCDCDCBE, ABCCDCDCCA, ABCCDCDCCB, ABCCDCDCCC, ABCCDCDCCD, ABCCDCDCCE, ABCCDCDCDA, ABCCDCDCDB, ABCCDCDCDC, ABCCDCDCDD, ABCCDCDCDE, ABCCDCDCEA, ABCCDCDCEB, ABCCDCDCEC, ABCCDCDCED, ABCCDCDCEE, ABCCDCDCEF, ABCCDCDDAA, ABCCDCDDAB, ABCCDCDDAC, ABCCDCDDAD, ABCCDCDDAE, ABCCDCDDBA, ABCCDCDDBB, ABCCDCDDBC, ABCCDCDDBD, ABCCDCDDBE, ABCCDCDDCA, ABCCDCDDCB, ABCCDCDDCC, ABCCDCDDCD, ABCCDCDDCE, ABCCDCDDDA, ABCCDCDDDB, ABCCDCDDDC, ABCCDCDDDD, ABCCDCDDDE, ABCCDCDDEA, ABCCDCDDEB, ABCCDCDDEC, ABCCDCDDED, ABCCDCDDEE, ABCCDCDDEF, ABCCDCDEAA, ABCCDCDEAB, ABCCDCDEAC, 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ABCCDCEBCA, ABCCDCEBCB, ABCCDCEBCC, ABCCDCEBCD, ABCCDCEBCE, ABCCDCEBCF, ABCCDCEBDA, ABCCDCEBDB, ABCCDCEBDC, ABCCDCEBDD, ABCCDCEBDE, ABCCDCEBDF, ABCCDCEBEA, ABCCDCEBEB, ABCCDCEBEC, ABCCDCEBED, ABCCDCEBEE, ABCCDCEBEF, ABCCDCEBFA, ABCCDCEBFB, ABCCDCEBFC, ABCCDCEBFD, ABCCDCEBFE, ABCCDCEBFF, ABCCDCEBFG, ABCCDCECAA, ABCCDCECAB, ABCCDCECAC, ABCCDCECAD, ABCCDCECAE, ABCCDCECAF, ABCCDCECBA, ABCCDCECBB, ABCCDCECBC, ABCCDCECBD, ABCCDCECBE, ABCCDCECBF, ABCCDCECCA, ABCCDCECCB, ABCCDCECCC, ABCCDCECCD, ABCCDCECCE, ABCCDCECCF, ABCCDCECDA, ABCCDCECDB, ABCCDCECDC, ABCCDCECDD, ABCCDCECDE, ABCCDCECDF, ABCCDCECEA, ABCCDCECEB, ABCCDCECEC, ABCCDCECED, ABCCDCECEE, ABCCDCECEF, ABCCDCECFA, ABCCDCECFB, ABCCDCECFC, ABCCDCECFD, ABCCDCECFE, ABCCDCECFF, ABCCDCECFG, ABCCDCEDAA, ABCCDCEDAB, ABCCDCEDAC, ABCCDCEDAD, ABCCDCEDAE, ABCCDCEDAF, ABCCDCEDBA, ABCCDCEDBB, ABCCDCEDBC, ABCCDCEDBD, ABCCDCEDBE, ABCCDCEDBF, ABCCDCEDCA, ABCCDCEDCB, ABCCDCEDCC, ABCCDCEDCD, ABCCDCEDCE, ABCCDCEDCF, ABCCDCEDDA, ABCCDCEDDB, ABCCDCEDDC, 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ABCDACEBBB, ABCDACEBBC, ABCDACEBBD, ABCDACEBBE, ABCDACEBBF, ABCDACEBCA, ABCDACEBCB, ABCDACEBCC, ABCDACEBCD, ABCDACEBCE, ABCDACEBCF, ABCDACEBDA, ABCDACEBDB, ABCDACEBDC, ABCDACEBDD, ABCDACEBDE, ABCDACEBDF, ABCDACEBEA, ABCDACEBEB, ABCDACEBEC, ABCDACEBED, ABCDACEBEE, ABCDACEBEF, ABCDACEBFA, ABCDACEBFB, ABCDACEBFC, ABCDACEBFD, ABCDACEBFE, ABCDACEBFF, ABCDACEBFG, ABCDACECAA, ABCDACECAB, ABCDACECAC, ABCDACECAD, ABCDACECAE, ABCDACECAF, ABCDACECBA, ABCDACECBB, ABCDACECBC, ABCDACECBD, ABCDACECBE, ABCDACECBF, ABCDACECCA, ABCDACECCB, ABCDACECCC, ABCDACECCD, ABCDACECCE, ABCDACECCF, ABCDACECDA, ABCDACECDB, ABCDACECDC, ABCDACECDD, ABCDACECDE, ABCDACECDF, ABCDACECEA, ABCDACECEB, ABCDACECEC, ABCDACECED, ABCDACECEE, ABCDACECEF, ABCDACECFA, ABCDACECFB, ABCDACECFC, ABCDACECFD, ABCDACECFE, ABCDACECFF, ABCDACECFG, ABCDACEDAA, ABCDACEDAB, ABCDACEDAC, ABCDACEDAD, ABCDACEDAE, ABCDACEDAF, ABCDACEDBA, ABCDACEDBB, ABCDACEDBC, ABCDACEDBD, ABCDACEDBE, ABCDACEDBF, ABCDACEDCA, ABCDACEDCB, ABCDACEDCC, ABCDACEDCD, ABCDACEDCE, ABCDACEDCF, ABCDACEDDA, ABCDACEDDB, ABCDACEDDC, ABCDACEDDD, ABCDACEDDE, ABCDACEDDF, ABCDACEDEA, ABCDACEDEB, ABCDACEDEC, ABCDACEDED, ABCDACEDEE, ABCDACEDEF, ABCDACEDFA, ABCDACEDFB, ABCDACEDFC, ABCDACEDFD, ABCDACEDFE, ABCDACEDFF, ABCDACEDFG, ABCDACEEAA, ABCDACEEAB, ABCDACEEAC, ABCDACEEAD, ABCDACEEAE, ABCDACEEAF, ABCDACEEBA, ABCDACEEBB, ABCDACEEBC, ABCDACEEBD, ABCDACEEBE, ABCDACEEBF, ABCDACEECA, ABCDACEECB, ABCDACEECC, ABCDACEECD, ABCDACEECE, ABCDACEECF, ABCDACEEDA, ABCDACEEDB, ABCDACEEDC, ABCDACEEDD, ABCDACEEDE, ABCDACEEDF, ABCDACEEEA, ABCDACEEEB, ABCDACEEEC, ABCDACEEED, ABCDACEEEE, ABCDACEEEF, ABCDACEEFA, ABCDACEEFB, ABCDACEEFC, ABCDACEEFD, ABCDACEEFE, ABCDACEEFF, ABCDACEEFG, ABCDACEFAA, ABCDACEFAB, ABCDACEFAC, ABCDACEFAD, ABCDACEFAE, ABCDACEFAF, ABCDACEFAG, ABCDACEFBA, ABCDACEFBB, ABCDACEFBC, ABCDACEFBD, ABCDACEFBE, ABCDACEFBF, ABCDACEFBG, ABCDACEFCA, ABCDACEFCB, ABCDACEFCC, ABCDACEFCD, ABCDACEFCE, ABCDACEFCF, ABCDACEFCG, ABCDACEFDA, ABCDACEFDB, ABCDACEFDC, ABCDACEFDD, ABCDACEFDE, ABCDACEFDF, ABCDACEFDG, ABCDACEFEA, ABCDACEFEB, ABCDACEFEC, ABCDACEFED, ABCDACEFEE, ABCDACEFEF, ABCDACEFEG, ABCDACEFFA, ABCDACEFFB, ABCDACEFFC, ABCDACEFFD, ABCDACEFFE, ABCDACEFFF, ABCDACEFFG, ABCDACEFGA, ABCDACEFGB, ABCDACEFGC, ABCDACEFGD, ABCDACEFGE, ABCDACEFGF, ABCDACEFGG, ABCDACEFGH, ABCDADAAAA, ABCDADAAAB, ABCDADAAAC, ABCDADAAAD, ABCDADAAAE, ABCDADAABA, ABCDADAABB, ABCDADAABC, ABCDADAABD, ABCDADAABE, ABCDADAACA, ABCDADAACB, ABCDADAACC, ABCDADAACD, ABCDADAACE, ABCDADAADA, ABCDADAADB, ABCDADAADC, ABCDADAADD, ABCDADAADE, ABCDADAAEA, ABCDADAAEB, ABCDADAAEC, ABCDADAAED, ABCDADAAEE, ABCDADAAEF, ABCDADABAA, ABCDADABAB, ABCDADABAC, ABCDADABAD, ABCDADABAE, ABCDADABBA, ABCDADABBB, ABCDADABBC, ABCDADABBD, ABCDADABBE, ABCDADABCA, ABCDADABCB, ABCDADABCC, ABCDADABCD, ABCDADABCE, ABCDADABDA, ABCDADABDB, ABCDADABDC, ABCDADABDD, ABCDADABDE, ABCDADABEA, ABCDADABEB, ABCDADABEC, ABCDADABED, ABCDADABEE, ABCDADABEF, ABCDADACAA, ABCDADACAB, ABCDADACAC, ABCDADACAD, ABCDADACAE, ABCDADACBA, ABCDADACBB, ABCDADACBC, ABCDADACBD, ABCDADACBE, ABCDADACCA, ABCDADACCB, ABCDADACCC, ABCDADACCD, ABCDADACCE, ABCDADACDA, ABCDADACDB, ABCDADACDC, ABCDADACDD, ABCDADACDE, ABCDADACEA, ABCDADACEB, ABCDADACEC, ABCDADACED, ABCDADACEE, ABCDADACEF, ABCDADADAA, ABCDADADAB, ABCDADADAC, ABCDADADAD, ABCDADADAE, ABCDADADBA, ABCDADADBB, ABCDADADBC, ABCDADADBD, ABCDADADBE, ABCDADADCA, ABCDADADCB, ABCDADADCC, ABCDADADCD, ABCDADADCE, ABCDADADDA, ABCDADADDB, ABCDADADDC, ABCDADADDD, ABCDADADDE, ABCDADADEA, ABCDADADEB, ABCDADADEC, ABCDADADED, ABCDADADEE, ABCDADADEF, ABCDADAEAA, ABCDADAEAB, ABCDADAEAC, ABCDADAEAD, ABCDADAEAE, ABCDADAEAF, ABCDADAEBA, ABCDADAEBB, ABCDADAEBC, ABCDADAEBD, ABCDADAEBE, ABCDADAEBF, ABCDADAECA, ABCDADAECB, ABCDADAECC, ABCDADAECD, ABCDADAECE, ABCDADAECF, ABCDADAEDA, ABCDADAEDB, ABCDADAEDC, ABCDADAEDD, ABCDADAEDE, ABCDADAEDF, ABCDADAEEA, ABCDADAEEB, ABCDADAEEC, ABCDADAEED, ABCDADAEEE, ABCDADAEEF, ABCDADAEFA, ABCDADAEFB, ABCDADAEFC, ABCDADAEFD, ABCDADAEFE, ABCDADAEFF, ABCDADAEFG, ABCDADBAAA, ABCDADBAAB, ABCDADBAAC, ABCDADBAAD, ABCDADBAAE, ABCDADBABA, ABCDADBABB, ABCDADBABC, ABCDADBABD, ABCDADBABE, ABCDADBACA, ABCDADBACB, ABCDADBACC, ABCDADBACD, ABCDADBACE, ABCDADBADA, ABCDADBADB, ABCDADBADC, ABCDADBADD, ABCDADBADE, ABCDADBAEA, ABCDADBAEB, ABCDADBAEC, ABCDADBAED, ABCDADBAEE, ABCDADBAEF, ABCDADBBAA, ABCDADBBAB, ABCDADBBAC, ABCDADBBAD, ABCDADBBAE, ABCDADBBBA, ABCDADBBBB, ABCDADBBBC, ABCDADBBBD, ABCDADBBBE, ABCDADBBCA, ABCDADBBCB, ABCDADBBCC, ABCDADBBCD, ABCDADBBCE, ABCDADBBDA, ABCDADBBDB, ABCDADBBDC, ABCDADBBDD, ABCDADBBDE, ABCDADBBEA, ABCDADBBEB, ABCDADBBEC, ABCDADBBED, ABCDADBBEE, ABCDADBBEF, ABCDADBCAA, ABCDADBCAB, ABCDADBCAC, ABCDADBCAD, ABCDADBCAE, ABCDADBCBA, ABCDADBCBB, ABCDADBCBC, ABCDADBCBD, ABCDADBCBE, ABCDADBCCA, ABCDADBCCB, ABCDADBCCC, ABCDADBCCD, ABCDADBCCE, ABCDADBCDA, ABCDADBCDB, ABCDADBCDC, ABCDADBCDD, ABCDADBCDE, ABCDADBCEA, ABCDADBCEB, ABCDADBCEC, ABCDADBCED, ABCDADBCEE, ABCDADBCEF, ABCDADBDAA, ABCDADBDAB, ABCDADBDAC, ABCDADBDAD, ABCDADBDAE, ABCDADBDBA, ABCDADBDBB, ABCDADBDBC, ABCDADBDBD, ABCDADBDBE, ABCDADBDCA, ABCDADBDCB, ABCDADBDCC, ABCDADBDCD, ABCDADBDCE, ABCDADBDDA, ABCDADBDDB, ABCDADBDDC, ABCDADBDDD, ABCDADBDDE, ABCDADBDEA, ABCDADBDEB, ABCDADBDEC, ABCDADBDED, ABCDADBDEE, ABCDADBDEF, ABCDADBEAA, ABCDADBEAB, ABCDADBEAC, ABCDADBEAD, ABCDADBEAE, ABCDADBEAF, ABCDADBEBA, ABCDADBEBB, ABCDADBEBC, ABCDADBEBD, ABCDADBEBE, ABCDADBEBF, ABCDADBECA, ABCDADBECB, ABCDADBECC, ABCDADBECD, ABCDADBECE, ABCDADBECF, ABCDADBEDA, ABCDADBEDB, ABCDADBEDC, ABCDADBEDD, ABCDADBEDE, ABCDADBEDF, ABCDADBEEA, ABCDADBEEB, ABCDADBEEC, ABCDADBEED, ABCDADBEEE, ABCDADBEEF, ABCDADBEFA, ABCDADBEFB, ABCDADBEFC, ABCDADBEFD, ABCDADBEFE, ABCDADBEFF, ABCDADBEFG, ABCDADCAAA, ABCDADCAAB, ABCDADCAAC, ABCDADCAAD, ABCDADCAAE, ABCDADCABA, ABCDADCABB, ABCDADCABC, ABCDADCABD, ABCDADCABE, ABCDADCACA, ABCDADCACB, ABCDADCACC, ABCDADCACD, ABCDADCACE, ABCDADCADA, ABCDADCADB, ABCDADCADC, ABCDADCADD, ABCDADCADE, ABCDADCAEA, ABCDADCAEB, ABCDADCAEC, ABCDADCAED, ABCDADCAEE, ABCDADCAEF, ABCDADCBAA, ABCDADCBAB, ABCDADCBAC, ABCDADCBAD, ABCDADCBAE, ABCDADCBBA, ABCDADCBBB, ABCDADCBBC, ABCDADCBBD, ABCDADCBBE, ABCDADCBCA, ABCDADCBCB, ABCDADCBCC, ABCDADCBCD, ABCDADCBCE, ABCDADCBDA, ABCDADCBDB, ABCDADCBDC, ABCDADCBDD, ABCDADCBDE, ABCDADCBEA, ABCDADCBEB, ABCDADCBEC, ABCDADCBED, ABCDADCBEE, ABCDADCBEF, ABCDADCCAA, ABCDADCCAB, ABCDADCCAC, ABCDADCCAD, ABCDADCCAE, ABCDADCCBA, ABCDADCCBB, ABCDADCCBC, ABCDADCCBD, ABCDADCCBE, ABCDADCCCA, ABCDADCCCB, ABCDADCCCC, ABCDADCCCD, ABCDADCCCE, ABCDADCCDA, ABCDADCCDB, ABCDADCCDC, ABCDADCCDD, ABCDADCCDE, ABCDADCCEA, ABCDADCCEB, ABCDADCCEC, ABCDADCCED, ABCDADCCEE, ABCDADCCEF, ABCDADCDAA, ABCDADCDAB, ABCDADCDAC, ABCDADCDAD, ABCDADCDAE, ABCDADCDBA, ABCDADCDBB, ABCDADCDBC, ABCDADCDBD, ABCDADCDBE, ABCDADCDCA, ABCDADCDCB, ABCDADCDCC, ABCDADCDCD, ABCDADCDCE, ABCDADCDDA, ABCDADCDDB, ABCDADCDDC, ABCDADCDDD, ABCDADCDDE, ABCDADCDEA, ABCDADCDEB, ABCDADCDEC, ABCDADCDED, ABCDADCDEE, ABCDADCDEF, ABCDADCEAA, ABCDADCEAB, ABCDADCEAC, ABCDADCEAD, ABCDADCEAE, ABCDADCEAF, ABCDADCEBA, ABCDADCEBB, ABCDADCEBC, ABCDADCEBD, ABCDADCEBE, ABCDADCEBF, ABCDADCECA, ABCDADCECB, ABCDADCECC, ABCDADCECD, ABCDADCECE, ABCDADCECF, ABCDADCEDA, ABCDADCEDB, ABCDADCEDC, ABCDADCEDD, ABCDADCEDE, ABCDADCEDF, ABCDADCEEA, ABCDADCEEB, ABCDADCEEC, ABCDADCEED, ABCDADCEEE, ABCDADCEEF, ABCDADCEFA, ABCDADCEFB, ABCDADCEFC, ABCDADCEFD, ABCDADCEFE, ABCDADCEFF, ABCDADCEFG, ABCDADDAAA, ABCDADDAAB, ABCDADDAAC, ABCDADDAAD, ABCDADDAAE, ABCDADDABA, ABCDADDABB, ABCDADDABC, ABCDADDABD, ABCDADDABE, ABCDADDACA, ABCDADDACB, ABCDADDACC, ABCDADDACD, ABCDADDACE, ABCDADDADA, ABCDADDADB, ABCDADDADC, ABCDADDADD, ABCDADDADE, ABCDADDAEA, ABCDADDAEB, ABCDADDAEC, ABCDADDAED, ABCDADDAEE, ABCDADDAEF, ABCDADDBAA, ABCDADDBAB, ABCDADDBAC, ABCDADDBAD, ABCDADDBAE, ABCDADDBBA, ABCDADDBBB, ABCDADDBBC, ABCDADDBBD, ABCDADDBBE, ABCDADDBCA, ABCDADDBCB, ABCDADDBCC, ABCDADDBCD, ABCDADDBCE, ABCDADDBDA, ABCDADDBDB, ABCDADDBDC, ABCDADDBDD, ABCDADDBDE, ABCDADDBEA, ABCDADDBEB, ABCDADDBEC, ABCDADDBED, ABCDADDBEE, ABCDADDBEF, ABCDADDCAA, ABCDADDCAB, ABCDADDCAC, ABCDADDCAD, ABCDADDCAE, ABCDADDCBA, ABCDADDCBB, ABCDADDCBC, ABCDADDCBD, ABCDADDCBE, ABCDADDCCA, ABCDADDCCB, ABCDADDCCC, ABCDADDCCD, ABCDADDCCE, ABCDADDCDA, ABCDADDCDB, ABCDADDCDC, ABCDADDCDD, ABCDADDCDE, ABCDADDCEA, ABCDADDCEB, ABCDADDCEC, ABCDADDCED, ABCDADDCEE, ABCDADDCEF, ABCDADDDAA, ABCDADDDAB, ABCDADDDAC, ABCDADDDAD, ABCDADDDAE, ABCDADDDBA, ABCDADDDBB, ABCDADDDBC, ABCDADDDBD, ABCDADDDBE, ABCDADDDCA, ABCDADDDCB, ABCDADDDCC, ABCDADDDCD, ABCDADDDCE, ABCDADDDDA, ABCDADDDDB, ABCDADDDDC, ABCDADDDDD, ABCDADDDDE, ABCDADDDEA, ABCDADDDEB, ABCDADDDEC, ABCDADDDED, ABCDADDDEE, ABCDADDDEF, ABCDADDEAA, ABCDADDEAB, ABCDADDEAC, ABCDADDEAD, ABCDADDEAE, ABCDADDEAF, ABCDADDEBA, ABCDADDEBB, ABCDADDEBC, ABCDADDEBD, ABCDADDEBE, ABCDADDEBF, ABCDADDECA, ABCDADDECB, ABCDADDECC, ABCDADDECD, ABCDADDECE, ABCDADDECF, ABCDADDEDA, ABCDADDEDB, ABCDADDEDC, ABCDADDEDD, ABCDADDEDE, ABCDADDEDF, ABCDADDEEA, ABCDADDEEB, ABCDADDEEC, ABCDADDEED, ABCDADDEEE, ABCDADDEEF, ABCDADDEFA, ABCDADDEFB, ABCDADDEFC, ABCDADDEFD, ABCDADDEFE, ABCDADDEFF, ABCDADDEFG, ABCDADEAAA, ABCDADEAAB, ABCDADEAAC, ABCDADEAAD, ABCDADEAAE, ABCDADEAAF, ABCDADEABA, ABCDADEABB, ABCDADEABC, ABCDADEABD, ABCDADEABE, ABCDADEABF, ABCDADEACA, ABCDADEACB, ABCDADEACC, ABCDADEACD, ABCDADEACE, ABCDADEACF, ABCDADEADA, ABCDADEADB, ABCDADEADC, ABCDADEADD, ABCDADEADE, ABCDADEADF, ABCDADEAEA, ABCDADEAEB, ABCDADEAEC, ABCDADEAED, ABCDADEAEE, ABCDADEAEF, ABCDADEAFA, ABCDADEAFB, ABCDADEAFC, ABCDADEAFD, ABCDADEAFE, ABCDADEAFF, ABCDADEAFG, ABCDADEBAA, ABCDADEBAB, ABCDADEBAC, ABCDADEBAD, ABCDADEBAE, ABCDADEBAF, ABCDADEBBA, ABCDADEBBB, ABCDADEBBC, ABCDADEBBD, ABCDADEBBE, ABCDADEBBF, ABCDADEBCA, ABCDADEBCB, ABCDADEBCC, ABCDADEBCD, ABCDADEBCE, ABCDADEBCF, ABCDADEBDA, ABCDADEBDB, ABCDADEBDC, ABCDADEBDD, ABCDADEBDE, ABCDADEBDF, ABCDADEBEA, ABCDADEBEB, ABCDADEBEC, ABCDADEBED, ABCDADEBEE, ABCDADEBEF, ABCDADEBFA, ABCDADEBFB, ABCDADEBFC, ABCDADEBFD, ABCDADEBFE, ABCDADEBFF, ABCDADEBFG, ABCDADECAA, ABCDADECAB, ABCDADECAC, ABCDADECAD, ABCDADECAE, ABCDADECAF, ABCDADECBA, ABCDADECBB, ABCDADECBC, ABCDADECBD, ABCDADECBE, ABCDADECBF, ABCDADECCA, ABCDADECCB, ABCDADECCC, ABCDADECCD, ABCDADECCE, ABCDADECCF, ABCDADECDA, ABCDADECDB, ABCDADECDC, ABCDADECDD, ABCDADECDE, ABCDADECDF, ABCDADECEA, ABCDADECEB, ABCDADECEC, ABCDADECED, ABCDADECEE, ABCDADECEF, ABCDADECFA, ABCDADECFB, ABCDADECFC, ABCDADECFD, ABCDADECFE, ABCDADECFF, ABCDADECFG, ABCDADEDAA, ABCDADEDAB, ABCDADEDAC, ABCDADEDAD, ABCDADEDAE, ABCDADEDAF, ABCDADEDBA, ABCDADEDBB, ABCDADEDBC, ABCDADEDBD, ABCDADEDBE, ABCDADEDBF, ABCDADEDCA, ABCDADEDCB, ABCDADEDCC, ABCDADEDCD, ABCDADEDCE, ABCDADEDCF, ABCDADEDDA, ABCDADEDDB, ABCDADEDDC, ABCDADEDDD, ABCDADEDDE, ABCDADEDDF, ABCDADEDEA, ABCDADEDEB, ABCDADEDEC, ABCDADEDED, ABCDADEDEE, ABCDADEDEF, ABCDADEDFA, ABCDADEDFB, ABCDADEDFC, ABCDADEDFD, ABCDADEDFE, ABCDADEDFF, ABCDADEDFG, ABCDADEEAA, ABCDADEEAB, ABCDADEEAC, ABCDADEEAD, ABCDADEEAE, ABCDADEEAF, ABCDADEEBA, ABCDADEEBB, ABCDADEEBC, ABCDADEEBD, ABCDADEEBE, ABCDADEEBF, ABCDADEECA, ABCDADEECB, ABCDADEECC, ABCDADEECD, ABCDADEECE, ABCDADEECF, ABCDADEEDA, ABCDADEEDB, ABCDADEEDC, ABCDADEEDD, ABCDADEEDE, ABCDADEEDF, ABCDADEEEA, ABCDADEEEB, ABCDADEEEC, ABCDADEEED, ABCDADEEEE, ABCDADEEEF, ABCDADEEFA, ABCDADEEFB, ABCDADEEFC, ABCDADEEFD, ABCDADEEFE, ABCDADEEFF, ABCDADEEFG, ABCDADEFAA, ABCDADEFAB, ABCDADEFAC, ABCDADEFAD, ABCDADEFAE, ABCDADEFAF, ABCDADEFAG, ABCDADEFBA, ABCDADEFBB, ABCDADEFBC, ABCDADEFBD, ABCDADEFBE, ABCDADEFBF, ABCDADEFBG, ABCDADEFCA, ABCDADEFCB, ABCDADEFCC, ABCDADEFCD, ABCDADEFCE, ABCDADEFCF, ABCDADEFCG, ABCDADEFDA, ABCDADEFDB, ABCDADEFDC, ABCDADEFDD, ABCDADEFDE, ABCDADEFDF, ABCDADEFDG, ABCDADEFEA, ABCDADEFEB, ABCDADEFEC, ABCDADEFED, ABCDADEFEE, ABCDADEFEF, ABCDADEFEG, ABCDADEFFA, ABCDADEFFB, ABCDADEFFC, ABCDADEFFD, ABCDADEFFE, ABCDADEFFF, ABCDADEFFG, ABCDADEFGA, ABCDADEFGB, ABCDADEFGC, ABCDADEFGD, ABCDADEFGE, ABCDADEFGF, ABCDADEFGG, ABCDADEFGH, ABCDAEAAAA, ABCDAEAAAB, ABCDAEAAAC, ABCDAEAAAD, ABCDAEAAAE, ABCDAEAAAF, ABCDAEAABA, ABCDAEAABB, ABCDAEAABC, ABCDAEAABD, ABCDAEAABE, ABCDAEAABF, ABCDAEAACA, ABCDAEAACB, ABCDAEAACC, ABCDAEAACD, ABCDAEAACE, ABCDAEAACF, ABCDAEAADA, ABCDAEAADB, ABCDAEAADC, ABCDAEAADD, ABCDAEAADE, ABCDAEAADF, ABCDAEAAEA, ABCDAEAAEB, ABCDAEAAEC, ABCDAEAAED, ABCDAEAAEE, ABCDAEAAEF, ABCDAEAAFA, ABCDAEAAFB, ABCDAEAAFC, ABCDAEAAFD, ABCDAEAAFE, ABCDAEAAFF, ABCDAEAAFG, ABCDAEABAA, ABCDAEABAB, ABCDAEABAC, ABCDAEABAD, ABCDAEABAE, ABCDAEABAF, ABCDAEABBA, ABCDAEABBB, ABCDAEABBC, ABCDAEABBD, ABCDAEABBE, ABCDAEABBF, ABCDAEABCA, ABCDAEABCB, ABCDAEABCC, ABCDAEABCD, ABCDAEABCE, ABCDAEABCF, ABCDAEABDA, ABCDAEABDB, ABCDAEABDC, ABCDAEABDD, ABCDAEABDE, ABCDAEABDF, ABCDAEABEA, ABCDAEABEB, ABCDAEABEC, ABCDAEABED, ABCDAEABEE, ABCDAEABEF, ABCDAEABFA, ABCDAEABFB, ABCDAEABFC, ABCDAEABFD, ABCDAEABFE, ABCDAEABFF, ABCDAEABFG, ABCDAEACAA, ABCDAEACAB, ABCDAEACAC, ABCDAEACAD, ABCDAEACAE, ABCDAEACAF, ABCDAEACBA, ABCDAEACBB, ABCDAEACBC, ABCDAEACBD, ABCDAEACBE, ABCDAEACBF, ABCDAEACCA, ABCDAEACCB, ABCDAEACCC, ABCDAEACCD, ABCDAEACCE, ABCDAEACCF, ABCDAEACDA, ABCDAEACDB, ABCDAEACDC, ABCDAEACDD, ABCDAEACDE, ABCDAEACDF, ABCDAEACEA, ABCDAEACEB, ABCDAEACEC, ABCDAEACED, ABCDAEACEE, ABCDAEACEF, ABCDAEACFA, ABCDAEACFB, ABCDAEACFC, ABCDAEACFD, ABCDAEACFE, ABCDAEACFF, ABCDAEACFG, ABCDAEADAA, ABCDAEADAB, ABCDAEADAC, ABCDAEADAD, ABCDAEADAE, ABCDAEADAF, ABCDAEADBA, ABCDAEADBB, ABCDAEADBC, ABCDAEADBD, ABCDAEADBE, ABCDAEADBF, ABCDAEADCA, ABCDAEADCB, ABCDAEADCC, ABCDAEADCD, ABCDAEADCE, ABCDAEADCF, ABCDAEADDA, ABCDAEADDB, ABCDAEADDC, ABCDAEADDD, ABCDAEADDE, ABCDAEADDF, ABCDAEADEA, ABCDAEADEB, ABCDAEADEC, ABCDAEADED, ABCDAEADEE, ABCDAEADEF, ABCDAEADFA, ABCDAEADFB, ABCDAEADFC, ABCDAEADFD, ABCDAEADFE, ABCDAEADFF, ABCDAEADFG, ABCDAEAEAA, ABCDAEAEAB, ABCDAEAEAC, ABCDAEAEAD, ABCDAEAEAE, ABCDAEAEAF, ABCDAEAEBA, ABCDAEAEBB, ABCDAEAEBC, ABCDAEAEBD, ABCDAEAEBE, ABCDAEAEBF, ABCDAEAECA, ABCDAEAECB, ABCDAEAECC, ABCDAEAECD, ABCDAEAECE, ABCDAEAECF, ABCDAEAEDA, ABCDAEAEDB, ABCDAEAEDC, ABCDAEAEDD, ABCDAEAEDE, ABCDAEAEDF, ABCDAEAEEA, ABCDAEAEEB, ABCDAEAEEC, ABCDAEAEED, ABCDAEAEEE, ABCDAEAEEF, ABCDAEAEFA, ABCDAEAEFB, ABCDAEAEFC, ABCDAEAEFD, ABCDAEAEFE, ABCDAEAEFF, ABCDAEAEFG, ABCDAEAFAA, ABCDAEAFAB, ABCDAEAFAC, ABCDAEAFAD, ABCDAEAFAE, ABCDAEAFAF, ABCDAEAFAG, ABCDAEAFBA, ABCDAEAFBB, ABCDAEAFBC, ABCDAEAFBD, ABCDAEAFBE, ABCDAEAFBF, ABCDAEAFBG, ABCDAEAFCA, ABCDAEAFCB, ABCDAEAFCC, ABCDAEAFCD, ABCDAEAFCE, ABCDAEAFCF, ABCDAEAFCG, ABCDAEAFDA, ABCDAEAFDB, ABCDAEAFDC, ABCDAEAFDD, ABCDAEAFDE, ABCDAEAFDF, ABCDAEAFDG, ABCDAEAFEA, ABCDAEAFEB, ABCDAEAFEC, ABCDAEAFED, ABCDAEAFEE, ABCDAEAFEF, ABCDAEAFEG, ABCDAEAFFA, ABCDAEAFFB, ABCDAEAFFC, ABCDAEAFFD, ABCDAEAFFE, ABCDAEAFFF, ABCDAEAFFG, ABCDAEAFGA, ABCDAEAFGB, ABCDAEAFGC, ABCDAEAFGD, ABCDAEAFGE, ABCDAEAFGF, ABCDAEAFGG, ABCDAEAFGH, ABCDAEBAAA, ABCDAEBAAB, ABCDAEBAAC, ABCDAEBAAD, ABCDAEBAAE, ABCDAEBAAF, ABCDAEBABA, ABCDAEBABB, ABCDAEBABC, ABCDAEBABD, ABCDAEBABE, ABCDAEBABF, ABCDAEBACA, ABCDAEBACB, ABCDAEBACC, ABCDAEBACD, ABCDAEBACE, ABCDAEBACF, ABCDAEBADA, ABCDAEBADB, ABCDAEBADC, ABCDAEBADD, ABCDAEBADE, ABCDAEBADF, ABCDAEBAEA, ABCDAEBAEB, ABCDAEBAEC, ABCDAEBAED, ABCDAEBAEE, ABCDAEBAEF, ABCDAEBAFA, ABCDAEBAFB, ABCDAEBAFC, ABCDAEBAFD, ABCDAEBAFE, ABCDAEBAFF, ABCDAEBAFG, ABCDAEBBAA, ABCDAEBBAB, ABCDAEBBAC, ABCDAEBBAD, ABCDAEBBAE, ABCDAEBBAF, ABCDAEBBBA, ABCDAEBBBB, ABCDAEBBBC, ABCDAEBBBD, ABCDAEBBBE, ABCDAEBBBF, ABCDAEBBCA, ABCDAEBBCB, ABCDAEBBCC, ABCDAEBBCD, ABCDAEBBCE, ABCDAEBBCF, ABCDAEBBDA, ABCDAEBBDB, ABCDAEBBDC, ABCDAEBBDD, ABCDAEBBDE, ABCDAEBBDF, ABCDAEBBEA, ABCDAEBBEB, ABCDAEBBEC, ABCDAEBBED, ABCDAEBBEE, ABCDAEBBEF, ABCDAEBBFA, ABCDAEBBFB, ABCDAEBBFC, ABCDAEBBFD, ABCDAEBBFE, ABCDAEBBFF, ABCDAEBBFG, ABCDAEBCAA, ABCDAEBCAB, ABCDAEBCAC, ABCDAEBCAD, ABCDAEBCAE, ABCDAEBCAF, ABCDAEBCBA, ABCDAEBCBB, ABCDAEBCBC, ABCDAEBCBD, ABCDAEBCBE, ABCDAEBCBF, ABCDAEBCCA, ABCDAEBCCB, ABCDAEBCCC, ABCDAEBCCD, ABCDAEBCCE, ABCDAEBCCF, ABCDAEBCDA, ABCDAEBCDB, ABCDAEBCDC, ABCDAEBCDD, ABCDAEBCDE, ABCDAEBCDF, ABCDAEBCEA, ABCDAEBCEB, ABCDAEBCEC, ABCDAEBCED, ABCDAEBCEE, ABCDAEBCEF, ABCDAEBCFA, ABCDAEBCFB, ABCDAEBCFC, ABCDAEBCFD, ABCDAEBCFE, ABCDAEBCFF, ABCDAEBCFG, ABCDAEBDAA, ABCDAEBDAB, ABCDAEBDAC, ABCDAEBDAD, ABCDAEBDAE, ABCDAEBDAF, ABCDAEBDBA, ABCDAEBDBB, ABCDAEBDBC, ABCDAEBDBD, ABCDAEBDBE, ABCDAEBDBF, ABCDAEBDCA, ABCDAEBDCB, ABCDAEBDCC, ABCDAEBDCD, ABCDAEBDCE, ABCDAEBDCF, ABCDAEBDDA, ABCDAEBDDB, ABCDAEBDDC, ABCDAEBDDD, ABCDAEBDDE, ABCDAEBDDF, ABCDAEBDEA, ABCDAEBDEB, ABCDAEBDEC, ABCDAEBDED, ABCDAEBDEE, ABCDAEBDEF, ABCDAEBDFA, ABCDAEBDFB, ABCDAEBDFC, ABCDAEBDFD, ABCDAEBDFE, ABCDAEBDFF, ABCDAEBDFG, ABCDAEBEAA, ABCDAEBEAB, ABCDAEBEAC, ABCDAEBEAD, ABCDAEBEAE, ABCDAEBEAF, ABCDAEBEBA, ABCDAEBEBB, ABCDAEBEBC, ABCDAEBEBD, ABCDAEBEBE, ABCDAEBEBF, ABCDAEBECA, ABCDAEBECB, ABCDAEBECC, ABCDAEBECD, ABCDAEBECE, ABCDAEBECF, ABCDAEBEDA, ABCDAEBEDB, ABCDAEBEDC, ABCDAEBEDD, ABCDAEBEDE, ABCDAEBEDF, ABCDAEBEEA, ABCDAEBEEB, ABCDAEBEEC, ABCDAEBEED, ABCDAEBEEE, ABCDAEBEEF, ABCDAEBEFA, ABCDAEBEFB, ABCDAEBEFC, ABCDAEBEFD, ABCDAEBEFE, ABCDAEBEFF, ABCDAEBEFG, ABCDAEBFAA, ABCDAEBFAB, ABCDAEBFAC, ABCDAEBFAD, ABCDAEBFAE, ABCDAEBFAF, ABCDAEBFAG, ABCDAEBFBA, ABCDAEBFBB, ABCDAEBFBC, ABCDAEBFBD, ABCDAEBFBE, ABCDAEBFBF, ABCDAEBFBG, ABCDAEBFCA, ABCDAEBFCB, ABCDAEBFCC, ABCDAEBFCD, ABCDAEBFCE, ABCDAEBFCF, ABCDAEBFCG, ABCDAEBFDA, ABCDAEBFDB, ABCDAEBFDC, ABCDAEBFDD, ABCDAEBFDE, ABCDAEBFDF, ABCDAEBFDG, ABCDAEBFEA, ABCDAEBFEB, ABCDAEBFEC, ABCDAEBFED, ABCDAEBFEE, ABCDAEBFEF, ABCDAEBFEG, ABCDAEBFFA, ABCDAEBFFB, ABCDAEBFFC, ABCDAEBFFD, ABCDAEBFFE, ABCDAEBFFF, ABCDAEBFFG, ABCDAEBFGA, ABCDAEBFGB, ABCDAEBFGC, ABCDAEBFGD, ABCDAEBFGE, ABCDAEBFGF, ABCDAEBFGG, ABCDAEBFGH, ABCDAECAAA, ABCDAECAAB, ABCDAECAAC, ABCDAECAAD, ABCDAECAAE, ABCDAECAAF, ABCDAECABA, ABCDAECABB, ABCDAECABC, ABCDAECABD, ABCDAECABE, ABCDAECABF, ABCDAECACA, ABCDAECACB, ABCDAECACC, ABCDAECACD, ABCDAECACE, ABCDAECACF, ABCDAECADA, ABCDAECADB, ABCDAECADC, ABCDAECADD, ABCDAECADE, ABCDAECADF, ABCDAECAEA, ABCDAECAEB, ABCDAECAEC, ABCDAECAED, ABCDAECAEE, ABCDAECAEF, ABCDAECAFA, ABCDAECAFB, ABCDAECAFC, ABCDAECAFD, ABCDAECAFE, ABCDAECAFF, ABCDAECAFG, ABCDAECBAA, ABCDAECBAB, ABCDAECBAC, ABCDAECBAD, ABCDAECBAE, ABCDAECBAF, ABCDAECBBA, ABCDAECBBB, ABCDAECBBC, ABCDAECBBD, ABCDAECBBE, ABCDAECBBF, ABCDAECBCA, ABCDAECBCB, ABCDAECBCC, ABCDAECBCD, ABCDAECBCE, ABCDAECBCF, ABCDAECBDA, ABCDAECBDB, ABCDAECBDC, ABCDAECBDD, ABCDAECBDE, ABCDAECBDF, ABCDAECBEA, ABCDAECBEB, ABCDAECBEC, ABCDAECBED, ABCDAECBEE, ABCDAECBEF, ABCDAECBFA, ABCDAECBFB, ABCDAECBFC, ABCDAECBFD, ABCDAECBFE, ABCDAECBFF, ABCDAECBFG, ABCDAECCAA, ABCDAECCAB, ABCDAECCAC, ABCDAECCAD, ABCDAECCAE, ABCDAECCAF, ABCDAECCBA, ABCDAECCBB, ABCDAECCBC, ABCDAECCBD, ABCDAECCBE, ABCDAECCBF, ABCDAECCCA, ABCDAECCCB, ABCDAECCCC, ABCDAECCCD, ABCDAECCCE, ABCDAECCCF, ABCDAECCDA, ABCDAECCDB, ABCDAECCDC, ABCDAECCDD, ABCDAECCDE, ABCDAECCDF, ABCDAECCEA, ABCDAECCEB, ABCDAECCEC, ABCDAECCED, ABCDAECCEE, ABCDAECCEF, ABCDAECCFA, ABCDAECCFB, ABCDAECCFC, ABCDAECCFD, ABCDAECCFE, ABCDAECCFF, ABCDAECCFG, ABCDAECDAA, ABCDAECDAB, ABCDAECDAC, ABCDAECDAD, ABCDAECDAE, ABCDAECDAF, ABCDAECDBA, ABCDAECDBB, ABCDAECDBC, ABCDAECDBD, ABCDAECDBE, ABCDAECDBF, ABCDAECDCA, ABCDAECDCB, ABCDAECDCC, ABCDAECDCD, ABCDAECDCE, ABCDAECDCF, ABCDAECDDA, ABCDAECDDB, ABCDAECDDC, ABCDAECDDD, ABCDAECDDE, ABCDAECDDF, ABCDAECDEA, ABCDAECDEB, ABCDAECDEC, ABCDAECDED, ABCDAECDEE, ABCDAECDEF, ABCDAECDFA, ABCDAECDFB, ABCDAECDFC, ABCDAECDFD, ABCDAECDFE, ABCDAECDFF, ABCDAECDFG, ABCDAECEAA, ABCDAECEAB, ABCDAECEAC, ABCDAECEAD, ABCDAECEAE, ABCDAECEAF, ABCDAECEBA, ABCDAECEBB, ABCDAECEBC, ABCDAECEBD, ABCDAECEBE, ABCDAECEBF, ABCDAECECA, ABCDAECECB, ABCDAECECC, ABCDAECECD, ABCDAECECE, ABCDAECECF, ABCDAECEDA, ABCDAECEDB, ABCDAECEDC, ABCDAECEDD, ABCDAECEDE, ABCDAECEDF, ABCDAECEEA, ABCDAECEEB, ABCDAECEEC, ABCDAECEED, ABCDAECEEE, ABCDAECEEF, ABCDAECEFA, ABCDAECEFB, ABCDAECEFC, ABCDAECEFD, ABCDAECEFE, ABCDAECEFF, ABCDAECEFG, ABCDAECFAA, ABCDAECFAB, ABCDAECFAC, ABCDAECFAD, ABCDAECFAE, ABCDAECFAF, ABCDAECFAG, ABCDAECFBA, ABCDAECFBB, ABCDAECFBC, ABCDAECFBD, ABCDAECFBE, ABCDAECFBF, ABCDAECFBG, ABCDAECFCA, ABCDAECFCB, ABCDAECFCC, ABCDAECFCD, ABCDAECFCE, ABCDAECFCF, ABCDAECFCG, ABCDAECFDA, ABCDAECFDB, ABCDAECFDC, ABCDAECFDD, ABCDAECFDE, ABCDAECFDF, ABCDAECFDG, ABCDAECFEA, ABCDAECFEB, ABCDAECFEC, ABCDAECFED, ABCDAECFEE, ABCDAECFEF, ABCDAECFEG, ABCDAECFFA, ABCDAECFFB, ABCDAECFFC, ABCDAECFFD, ABCDAECFFE, ABCDAECFFF, ABCDAECFFG, ABCDAECFGA, ABCDAECFGB, ABCDAECFGC, ABCDAECFGD, ABCDAECFGE, ABCDAECFGF, ABCDAECFGG, ABCDAECFGH, ABCDAEDAAA, ABCDAEDAAB, ABCDAEDAAC, ABCDAEDAAD, ABCDAEDAAE, ABCDAEDAAF, ABCDAEDABA, ABCDAEDABB, ABCDAEDABC, ABCDAEDABD, ABCDAEDABE, ABCDAEDABF, ABCDAEDACA, ABCDAEDACB, ABCDAEDACC, ABCDAEDACD, ABCDAEDACE, ABCDAEDACF, ABCDAEDADA, ABCDAEDADB, ABCDAEDADC, ABCDAEDADD, ABCDAEDADE, ABCDAEDADF, ABCDAEDAEA, ABCDAEDAEB, ABCDAEDAEC, ABCDAEDAED, ABCDAEDAEE, ABCDAEDAEF, ABCDAEDAFA, ABCDAEDAFB, ABCDAEDAFC, ABCDAEDAFD, ABCDAEDAFE, ABCDAEDAFF, ABCDAEDAFG, ABCDAEDBAA, ABCDAEDBAB, ABCDAEDBAC, ABCDAEDBAD, ABCDAEDBAE, ABCDAEDBAF, ABCDAEDBBA, ABCDAEDBBB, ABCDAEDBBC, ABCDAEDBBD, ABCDAEDBBE, ABCDAEDBBF, ABCDAEDBCA, ABCDAEDBCB, ABCDAEDBCC, ABCDAEDBCD, ABCDAEDBCE, ABCDAEDBCF, ABCDAEDBDA, ABCDAEDBDB, ABCDAEDBDC, ABCDAEDBDD, ABCDAEDBDE, ABCDAEDBDF, ABCDAEDBEA, ABCDAEDBEB, ABCDAEDBEC, ABCDAEDBED, ABCDAEDBEE, ABCDAEDBEF, ABCDAEDBFA, ABCDAEDBFB, ABCDAEDBFC, ABCDAEDBFD, ABCDAEDBFE, ABCDAEDBFF, ABCDAEDBFG, ABCDAEDCAA, ABCDAEDCAB, ABCDAEDCAC, ABCDAEDCAD, ABCDAEDCAE, ABCDAEDCAF, ABCDAEDCBA, ABCDAEDCBB, ABCDAEDCBC, ABCDAEDCBD, ABCDAEDCBE, ABCDAEDCBF, ABCDAEDCCA, ABCDAEDCCB, ABCDAEDCCC, ABCDAEDCCD, ABCDAEDCCE, ABCDAEDCCF, ABCDAEDCDA, ABCDAEDCDB, ABCDAEDCDC, ABCDAEDCDD, ABCDAEDCDE, ABCDAEDCDF, ABCDAEDCEA, ABCDAEDCEB, ABCDAEDCEC, ABCDAEDCED, ABCDAEDCEE, ABCDAEDCEF, ABCDAEDCFA, ABCDAEDCFB, ABCDAEDCFC, ABCDAEDCFD, ABCDAEDCFE, ABCDAEDCFF, ABCDAEDCFG, ABCDAEDDAA, ABCDAEDDAB, ABCDAEDDAC, ABCDAEDDAD, ABCDAEDDAE, ABCDAEDDAF, ABCDAEDDBA, ABCDAEDDBB, ABCDAEDDBC, ABCDAEDDBD, ABCDAEDDBE, ABCDAEDDBF, ABCDAEDDCA, ABCDAEDDCB, ABCDAEDDCC, ABCDAEDDCD, ABCDAEDDCE, ABCDAEDDCF, ABCDAEDDDA, ABCDAEDDDB, ABCDAEDDDC, ABCDAEDDDD, ABCDAEDDDE, ABCDAEDDDF, ABCDAEDDEA, ABCDAEDDEB, ABCDAEDDEC, ABCDAEDDED, ABCDAEDDEE, ABCDAEDDEF, ABCDAEDDFA, ABCDAEDDFB, ABCDAEDDFC, ABCDAEDDFD, ABCDAEDDFE, ABCDAEDDFF, ABCDAEDDFG, ABCDAEDEAA, ABCDAEDEAB, ABCDAEDEAC, ABCDAEDEAD, ABCDAEDEAE, ABCDAEDEAF, ABCDAEDEBA, ABCDAEDEBB, ABCDAEDEBC, ABCDAEDEBD, ABCDAEDEBE, ABCDAEDEBF, ABCDAEDECA, ABCDAEDECB, ABCDAEDECC, ABCDAEDECD, ABCDAEDECE, ABCDAEDECF, ABCDAEDEDA, ABCDAEDEDB, ABCDAEDEDC, ABCDAEDEDD, ABCDAEDEDE, ABCDAEDEDF, ABCDAEDEEA, ABCDAEDEEB, ABCDAEDEEC, ABCDAEDEED, ABCDAEDEEE, ABCDAEDEEF, ABCDAEDEFA, ABCDAEDEFB, ABCDAEDEFC, ABCDAEDEFD, ABCDAEDEFE, ABCDAEDEFF, ABCDAEDEFG, ABCDAEDFAA, ABCDAEDFAB, ABCDAEDFAC, ABCDAEDFAD, ABCDAEDFAE, ABCDAEDFAF, ABCDAEDFAG, ABCDAEDFBA, ABCDAEDFBB, ABCDAEDFBC, ABCDAEDFBD, ABCDAEDFBE, ABCDAEDFBF, ABCDAEDFBG, ABCDAEDFCA, ABCDAEDFCB, ABCDAEDFCC, ABCDAEDFCD, ABCDAEDFCE, ABCDAEDFCF, ABCDAEDFCG, ABCDAEDFDA, ABCDAEDFDB, ABCDAEDFDC, ABCDAEDFDD, ABCDAEDFDE, ABCDAEDFDF, ABCDAEDFDG, ABCDAEDFEA, ABCDAEDFEB, ABCDAEDFEC, ABCDAEDFED, ABCDAEDFEE, ABCDAEDFEF, ABCDAEDFEG, ABCDAEDFFA, ABCDAEDFFB, ABCDAEDFFC, ABCDAEDFFD, ABCDAEDFFE, ABCDAEDFFF, ABCDAEDFFG, ABCDAEDFGA, ABCDAEDFGB, ABCDAEDFGC, ABCDAEDFGD, ABCDAEDFGE, ABCDAEDFGF, ABCDAEDFGG, ABCDAEDFGH, ABCDAEEAAA, ABCDAEEAAB, ABCDAEEAAC, ABCDAEEAAD, ABCDAEEAAE, ABCDAEEAAF, ABCDAEEABA, ABCDAEEABB, ABCDAEEABC, ABCDAEEABD, ABCDAEEABE, ABCDAEEABF, ABCDAEEACA, ABCDAEEACB, ABCDAEEACC, ABCDAEEACD, ABCDAEEACE, ABCDAEEACF, ABCDAEEADA, ABCDAEEADB, ABCDAEEADC, ABCDAEEADD, ABCDAEEADE, ABCDAEEADF, ABCDAEEAEA, ABCDAEEAEB, ABCDAEEAEC, ABCDAEEAED, ABCDAEEAEE, ABCDAEEAEF, ABCDAEEAFA, ABCDAEEAFB, ABCDAEEAFC, ABCDAEEAFD, ABCDAEEAFE, ABCDAEEAFF, ABCDAEEAFG, ABCDAEEBAA, ABCDAEEBAB, ABCDAEEBAC, ABCDAEEBAD, ABCDAEEBAE, ABCDAEEBAF, ABCDAEEBBA, ABCDAEEBBB, ABCDAEEBBC, ABCDAEEBBD, ABCDAEEBBE, ABCDAEEBBF, ABCDAEEBCA, ABCDAEEBCB, ABCDAEEBCC, ABCDAEEBCD, ABCDAEEBCE, ABCDAEEBCF, ABCDAEEBDA, ABCDAEEBDB, ABCDAEEBDC, ABCDAEEBDD, ABCDAEEBDE, ABCDAEEBDF, ABCDAEEBEA, ABCDAEEBEB, ABCDAEEBEC, ABCDAEEBED, ABCDAEEBEE, ABCDAEEBEF, ABCDAEEBFA, ABCDAEEBFB, ABCDAEEBFC, ABCDAEEBFD, ABCDAEEBFE, ABCDAEEBFF, ABCDAEEBFG, ABCDAEECAA, ABCDAEECAB, ABCDAEECAC, ABCDAEECAD, ABCDAEECAE, ABCDAEECAF, ABCDAEECBA, ABCDAEECBB, ABCDAEECBC, ABCDAEECBD, ABCDAEECBE, ABCDAEECBF, ABCDAEECCA, ABCDAEECCB, ABCDAEECCC, ABCDAEECCD, ABCDAEECCE, ABCDAEECCF, ABCDAEECDA, ABCDAEECDB, ABCDAEECDC, ABCDAEECDD, ABCDAEECDE, ABCDAEECDF, ABCDAEECEA, ABCDAEECEB, ABCDAEECEC, ABCDAEECED, ABCDAEECEE, ABCDAEECEF, ABCDAEECFA, ABCDAEECFB, ABCDAEECFC, ABCDAEECFD, ABCDAEECFE, ABCDAEECFF, ABCDAEECFG, ABCDAEEDAA, ABCDAEEDAB, ABCDAEEDAC, ABCDAEEDAD, ABCDAEEDAE, ABCDAEEDAF, ABCDAEEDBA, ABCDAEEDBB, ABCDAEEDBC, ABCDAEEDBD, ABCDAEEDBE, ABCDAEEDBF, ABCDAEEDCA, ABCDAEEDCB, ABCDAEEDCC, ABCDAEEDCD, ABCDAEEDCE, ABCDAEEDCF, ABCDAEEDDA, ABCDAEEDDB, ABCDAEEDDC, ABCDAEEDDD, ABCDAEEDDE, ABCDAEEDDF, ABCDAEEDEA, ABCDAEEDEB, ABCDAEEDEC, ABCDAEEDED, ABCDAEEDEE, ABCDAEEDEF, ABCDAEEDFA, ABCDAEEDFB, ABCDAEEDFC, ABCDAEEDFD, ABCDAEEDFE, ABCDAEEDFF, ABCDAEEDFG, ABCDAEEEAA, ABCDAEEEAB, ABCDAEEEAC, ABCDAEEEAD, ABCDAEEEAE, ABCDAEEEAF, ABCDAEEEBA, ABCDAEEEBB, ABCDAEEEBC, ABCDAEEEBD, ABCDAEEEBE, ABCDAEEEBF, ABCDAEEECA, ABCDAEEECB, ABCDAEEECC, ABCDAEEECD, ABCDAEEECE, ABCDAEEECF, ABCDAEEEDA, ABCDAEEEDB, ABCDAEEEDC, ABCDAEEEDD, ABCDAEEEDE, ABCDAEEEDF, ABCDAEEEEA, ABCDAEEEEB, ABCDAEEEEC, ABCDAEEEED, ABCDAEEEEE, ABCDAEEEEF, ABCDAEEEFA, ABCDAEEEFB, ABCDAEEEFC, ABCDAEEEFD, ABCDAEEEFE, ABCDAEEEFF, ABCDAEEEFG, ABCDAEEFAA, ABCDAEEFAB, ABCDAEEFAC, ABCDAEEFAD, ABCDAEEFAE, ABCDAEEFAF, ABCDAEEFAG, ABCDAEEFBA, ABCDAEEFBB, ABCDAEEFBC, ABCDAEEFBD, ABCDAEEFBE, ABCDAEEFBF, ABCDAEEFBG, ABCDAEEFCA, ABCDAEEFCB, ABCDAEEFCC, ABCDAEEFCD, ABCDAEEFCE, ABCDAEEFCF, ABCDAEEFCG, ABCDAEEFDA, ABCDAEEFDB, ABCDAEEFDC, ABCDAEEFDD, ABCDAEEFDE, ABCDAEEFDF, ABCDAEEFDG, ABCDAEEFEA, ABCDAEEFEB, ABCDAEEFEC, ABCDAEEFED, ABCDAEEFEE, ABCDAEEFEF, ABCDAEEFEG, ABCDAEEFFA, ABCDAEEFFB, ABCDAEEFFC, ABCDAEEFFD, ABCDAEEFFE, ABCDAEEFFF, ABCDAEEFFG, ABCDAEEFGA, ABCDAEEFGB, ABCDAEEFGC, ABCDAEEFGD, ABCDAEEFGE, ABCDAEEFGF, ABCDAEEFGG, ABCDAEEFGH, ABCDAEFAAA, ABCDAEFAAB, ABCDAEFAAC, ABCDAEFAAD, ABCDAEFAAE, ABCDAEFAAF, ABCDAEFAAG, ABCDAEFABA, ABCDAEFABB, ABCDAEFABC, ABCDAEFABD, ABCDAEFABE, ABCDAEFABF, ABCDAEFABG, ABCDAEFACA, ABCDAEFACB, ABCDAEFACC, ABCDAEFACD, ABCDAEFACE, ABCDAEFACF, ABCDAEFACG, ABCDAEFADA, ABCDAEFADB, ABCDAEFADC, ABCDAEFADD, ABCDAEFADE, ABCDAEFADF, ABCDAEFADG, ABCDAEFAEA, ABCDAEFAEB, ABCDAEFAEC, ABCDAEFAED, ABCDAEFAEE, ABCDAEFAEF, ABCDAEFAEG, ABCDAEFAFA, ABCDAEFAFB, ABCDAEFAFC, ABCDAEFAFD, ABCDAEFAFE, ABCDAEFAFF, ABCDAEFAFG, ABCDAEFAGA, ABCDAEFAGB, ABCDAEFAGC, ABCDAEFAGD, ABCDAEFAGE, ABCDAEFAGF, ABCDAEFAGG, ABCDAEFAGH, ABCDAEFBAA, ABCDAEFBAB, ABCDAEFBAC, ABCDAEFBAD, ABCDAEFBAE, ABCDAEFBAF, ABCDAEFBAG, ABCDAEFBBA, ABCDAEFBBB, ABCDAEFBBC, ABCDAEFBBD, ABCDAEFBBE, ABCDAEFBBF, ABCDAEFBBG, ABCDAEFBCA, ABCDAEFBCB, ABCDAEFBCC, ABCDAEFBCD, ABCDAEFBCE, ABCDAEFBCF, ABCDAEFBCG, ABCDAEFBDA, ABCDAEFBDB, ABCDAEFBDC, ABCDAEFBDD, ABCDAEFBDE, ABCDAEFBDF, ABCDAEFBDG, ABCDAEFBEA, ABCDAEFBEB, ABCDAEFBEC, ABCDAEFBED, ABCDAEFBEE, ABCDAEFBEF, ABCDAEFBEG, ABCDAEFBFA, ABCDAEFBFB, ABCDAEFBFC, ABCDAEFBFD, ABCDAEFBFE, ABCDAEFBFF, ABCDAEFBFG, ABCDAEFBGA, ABCDAEFBGB, ABCDAEFBGC, ABCDAEFBGD, ABCDAEFBGE, ABCDAEFBGF, ABCDAEFBGG, ABCDAEFBGH, ABCDAEFCAA, ABCDAEFCAB, ABCDAEFCAC, ABCDAEFCAD, ABCDAEFCAE, ABCDAEFCAF, ABCDAEFCAG, ABCDAEFCBA, ABCDAEFCBB, ABCDAEFCBC, ABCDAEFCBD, ABCDAEFCBE, ABCDAEFCBF, ABCDAEFCBG, ABCDAEFCCA, ABCDAEFCCB, ABCDAEFCCC, ABCDAEFCCD, ABCDAEFCCE, ABCDAEFCCF, ABCDAEFCCG, ABCDAEFCDA, ABCDAEFCDB, ABCDAEFCDC, ABCDAEFCDD, ABCDAEFCDE, ABCDAEFCDF, ABCDAEFCDG, ABCDAEFCEA, ABCDAEFCEB, ABCDAEFCEC, ABCDAEFCED, ABCDAEFCEE, ABCDAEFCEF, ABCDAEFCEG, ABCDAEFCFA, ABCDAEFCFB, ABCDAEFCFC, ABCDAEFCFD, ABCDAEFCFE, ABCDAEFCFF, ABCDAEFCFG, ABCDAEFCGA, ABCDAEFCGB, ABCDAEFCGC, ABCDAEFCGD, ABCDAEFCGE, ABCDAEFCGF, ABCDAEFCGG, ABCDAEFCGH, ABCDAEFDAA, ABCDAEFDAB, ABCDAEFDAC, ABCDAEFDAD, ABCDAEFDAE, ABCDAEFDAF, ABCDAEFDAG, ABCDAEFDBA, ABCDAEFDBB, ABCDAEFDBC, ABCDAEFDBD, ABCDAEFDBE, ABCDAEFDBF, ABCDAEFDBG, ABCDAEFDCA, ABCDAEFDCB, ABCDAEFDCC, ABCDAEFDCD, ABCDAEFDCE, ABCDAEFDCF, ABCDAEFDCG, ABCDAEFDDA, ABCDAEFDDB, ABCDAEFDDC, ABCDAEFDDD, ABCDAEFDDE, ABCDAEFDDF, ABCDAEFDDG, ABCDAEFDEA, ABCDAEFDEB, ABCDAEFDEC, ABCDAEFDED, ABCDAEFDEE, ABCDAEFDEF, ABCDAEFDEG, ABCDAEFDFA, ABCDAEFDFB, ABCDAEFDFC, ABCDAEFDFD, ABCDAEFDFE, ABCDAEFDFF, ABCDAEFDFG, ABCDAEFDGA, ABCDAEFDGB, ABCDAEFDGC, ABCDAEFDGD, ABCDAEFDGE, ABCDAEFDGF, ABCDAEFDGG, ABCDAEFDGH, ABCDAEFEAA, ABCDAEFEAB, ABCDAEFEAC, ABCDAEFEAD, ABCDAEFEAE, ABCDAEFEAF, ABCDAEFEAG, ABCDAEFEBA, ABCDAEFEBB, ABCDAEFEBC, ABCDAEFEBD, ABCDAEFEBE, ABCDAEFEBF, ABCDAEFEBG, ABCDAEFECA, ABCDAEFECB, ABCDAEFECC, ABCDAEFECD, ABCDAEFECE, ABCDAEFECF, ABCDAEFECG, ABCDAEFEDA, ABCDAEFEDB, ABCDAEFEDC, ABCDAEFEDD, ABCDAEFEDE, ABCDAEFEDF, ABCDAEFEDG, ABCDAEFEEA, ABCDAEFEEB, ABCDAEFEEC, ABCDAEFEED, ABCDAEFEEE, ABCDAEFEEF, ABCDAEFEEG, ABCDAEFEFA, ABCDAEFEFB, ABCDAEFEFC, ABCDAEFEFD, ABCDAEFEFE, ABCDAEFEFF, ABCDAEFEFG, ABCDAEFEGA, ABCDAEFEGB, ABCDAEFEGC, ABCDAEFEGD, ABCDAEFEGE, ABCDAEFEGF, ABCDAEFEGG, ABCDAEFEGH, ABCDAEFFAA, ABCDAEFFAB, ABCDAEFFAC, ABCDAEFFAD, ABCDAEFFAE, ABCDAEFFAF, ABCDAEFFAG, ABCDAEFFBA, ABCDAEFFBB, ABCDAEFFBC, ABCDAEFFBD, ABCDAEFFBE, ABCDAEFFBF, ABCDAEFFBG, ABCDAEFFCA, ABCDAEFFCB, ABCDAEFFCC, ABCDAEFFCD, ABCDAEFFCE, ABCDAEFFCF, ABCDAEFFCG, ABCDAEFFDA, ABCDAEFFDB, ABCDAEFFDC, ABCDAEFFDD, ABCDAEFFDE, ABCDAEFFDF, ABCDAEFFDG, ABCDAEFFEA, ABCDAEFFEB, ABCDAEFFEC, ABCDAEFFED, ABCDAEFFEE, ABCDAEFFEF, ABCDAEFFEG, ABCDAEFFFA, ABCDAEFFFB, ABCDAEFFFC, ABCDAEFFFD, ABCDAEFFFE, ABCDAEFFFF, ABCDAEFFFG, ABCDAEFFGA, ABCDAEFFGB, ABCDAEFFGC, ABCDAEFFGD, ABCDAEFFGE, ABCDAEFFGF, ABCDAEFFGG, ABCDAEFFGH, ABCDAEFGAA, ABCDAEFGAB, ABCDAEFGAC, ABCDAEFGAD, ABCDAEFGAE, ABCDAEFGAF, ABCDAEFGAG, ABCDAEFGAH, ABCDAEFGBA, ABCDAEFGBB, ABCDAEFGBC, ABCDAEFGBD, ABCDAEFGBE, ABCDAEFGBF, ABCDAEFGBG, ABCDAEFGBH, ABCDAEFGCA, ABCDAEFGCB, ABCDAEFGCC, ABCDAEFGCD, ABCDAEFGCE, ABCDAEFGCF, ABCDAEFGCG, ABCDAEFGCH, ABCDAEFGDA, ABCDAEFGDB, ABCDAEFGDC, ABCDAEFGDD, ABCDAEFGDE, ABCDAEFGDF, ABCDAEFGDG, ABCDAEFGDH, ABCDAEFGEA, ABCDAEFGEB, ABCDAEFGEC, ABCDAEFGED, ABCDAEFGEE, ABCDAEFGEF, ABCDAEFGEG, ABCDAEFGEH, ABCDAEFGFA, ABCDAEFGFB, ABCDAEFGFC, ABCDAEFGFD, ABCDAEFGFE, ABCDAEFGFF, ABCDAEFGFG, ABCDAEFGFH, ABCDAEFGGA, ABCDAEFGGB, ABCDAEFGGC, ABCDAEFGGD, ABCDAEFGGE, ABCDAEFGGF, ABCDAEFGGG, ABCDAEFGGH, ABCDAEFGHA, ABCDAEFGHB, ABCDAEFGHC, ABCDAEFGHD, ABCDAEFGHE, ABCDAEFGHF, ABCDAEFGHG, ABCDAEFGHH, ABCDAEFGHI, ABCDBAAAAA, ABCDBAAAAB, ABCDBAAAAC, ABCDBAAAAD, ABCDBAAAAE, ABCDBAAABA, ABCDBAAABB, ABCDBAAABC, ABCDBAAABD, ABCDBAAABE, ABCDBAAACA, ABCDBAAACB, ABCDBAAACC, ABCDBAAACD, ABCDBAAACE, ABCDBAAADA, ABCDBAAADB, ABCDBAAADC, ABCDBAAADD, ABCDBAAADE, ABCDBAAAEA, ABCDBAAAEB, ABCDBAAAEC, ABCDBAAAED, ABCDBAAAEE, ABCDBAAAEF, ABCDBAABAA, ABCDBAABAB, ABCDBAABAC, ABCDBAABAD, ABCDBAABAE, ABCDBAABBA, ABCDBAABBB, ABCDBAABBC, ABCDBAABBD, ABCDBAABBE, ABCDBAABCA, ABCDBAABCB, ABCDBAABCC, ABCDBAABCD, ABCDBAABCE, ABCDBAABDA, ABCDBAABDB, ABCDBAABDC, ABCDBAABDD, ABCDBAABDE, ABCDBAABEA, ABCDBAABEB, ABCDBAABEC, ABCDBAABED, ABCDBAABEE, ABCDBAABEF, ABCDBAACAA, ABCDBAACAB, ABCDBAACAC, ABCDBAACAD, ABCDBAACAE, ABCDBAACBA, ABCDBAACBB, ABCDBAACBC, ABCDBAACBD, ABCDBAACBE, ABCDBAACCA, ABCDBAACCB, ABCDBAACCC, ABCDBAACCD, ABCDBAACCE, ABCDBAACDA, ABCDBAACDB, ABCDBAACDC, ABCDBAACDD, ABCDBAACDE, ABCDBAACEA, ABCDBAACEB, ABCDBAACEC, ABCDBAACED, ABCDBAACEE, ABCDBAACEF, ABCDBAADAA, ABCDBAADAB, ABCDBAADAC, ABCDBAADAD, ABCDBAADAE, ABCDBAADBA, ABCDBAADBB, ABCDBAADBC, ABCDBAADBD, ABCDBAADBE, ABCDBAADCA, ABCDBAADCB, ABCDBAADCC, ABCDBAADCD, ABCDBAADCE, ABCDBAADDA, ABCDBAADDB, ABCDBAADDC, ABCDBAADDD, ABCDBAADDE, ABCDBAADEA, ABCDBAADEB, ABCDBAADEC, ABCDBAADED, ABCDBAADEE, ABCDBAADEF, ABCDBAAEAA, ABCDBAAEAB, ABCDBAAEAC, ABCDBAAEAD, ABCDBAAEAE, ABCDBAAEAF, ABCDBAAEBA, ABCDBAAEBB, ABCDBAAEBC, ABCDBAAEBD, ABCDBAAEBE, ABCDBAAEBF, ABCDBAAECA, ABCDBAAECB, ABCDBAAECC, ABCDBAAECD, ABCDBAAECE, ABCDBAAECF, ABCDBAAEDA, ABCDBAAEDB, ABCDBAAEDC, ABCDBAAEDD, ABCDBAAEDE, ABCDBAAEDF, ABCDBAAEEA, ABCDBAAEEB, ABCDBAAEEC, ABCDBAAEED, ABCDBAAEEE, ABCDBAAEEF, ABCDBAAEFA, ABCDBAAEFB, ABCDBAAEFC, ABCDBAAEFD, ABCDBAAEFE, ABCDBAAEFF, ABCDBAAEFG, ABCDBABAAA, ABCDBABAAB, ABCDBABAAC, ABCDBABAAD, ABCDBABAAE, ABCDBABABA, ABCDBABABB, ABCDBABABC, ABCDBABABD, ABCDBABABE, ABCDBABACA, ABCDBABACB, ABCDBABACC, ABCDBABACD, ABCDBABACE, ABCDBABADA, ABCDBABADB, ABCDBABADC, ABCDBABADD, ABCDBABADE, ABCDBABAEA, ABCDBABAEB, ABCDBABAEC, ABCDBABAED, ABCDBABAEE, ABCDBABAEF, ABCDBABBAA, ABCDBABBAB, ABCDBABBAC, ABCDBABBAD, ABCDBABBAE, ABCDBABBBA, ABCDBABBBB, ABCDBABBBC, ABCDBABBBD, ABCDBABBBE, ABCDBABBCA, ABCDBABBCB, ABCDBABBCC, ABCDBABBCD, ABCDBABBCE, ABCDBABBDA, ABCDBABBDB, ABCDBABBDC, ABCDBABBDD, ABCDBABBDE, ABCDBABBEA, ABCDBABBEB, ABCDBABBEC, ABCDBABBED, ABCDBABBEE, ABCDBABBEF, ABCDBABCAA, ABCDBABCAB, ABCDBABCAC, ABCDBABCAD, ABCDBABCAE, ABCDBABCBA, ABCDBABCBB, ABCDBABCBC, ABCDBABCBD, ABCDBABCBE, ABCDBABCCA, ABCDBABCCB, ABCDBABCCC, ABCDBABCCD, ABCDBABCCE, ABCDBABCDA, ABCDBABCDB, ABCDBABCDC, ABCDBABCDD, ABCDBABCDE, ABCDBABCEA, ABCDBABCEB, ABCDBABCEC, ABCDBABCED, ABCDBABCEE, ABCDBABCEF, ABCDBABDAA, ABCDBABDAB, ABCDBABDAC, ABCDBABDAD, ABCDBABDAE, ABCDBABDBA, ABCDBABDBB, ABCDBABDBC, ABCDBABDBD, ABCDBABDBE, ABCDBABDCA, ABCDBABDCB, ABCDBABDCC, ABCDBABDCD, ABCDBABDCE, ABCDBABDDA, ABCDBABDDB, ABCDBABDDC, ABCDBABDDD, ABCDBABDDE, ABCDBABDEA, ABCDBABDEB, ABCDBABDEC, ABCDBABDED, ABCDBABDEE, ABCDBABDEF, ABCDBABEAA, ABCDBABEAB, ABCDBABEAC, ABCDBABEAD, ABCDBABEAE, ABCDBABEAF, ABCDBABEBA, ABCDBABEBB, ABCDBABEBC, ABCDBABEBD, ABCDBABEBE, ABCDBABEBF, ABCDBABECA, ABCDBABECB, ABCDBABECC, ABCDBABECD, ABCDBABECE, ABCDBABECF, ABCDBABEDA, ABCDBABEDB, ABCDBABEDC, ABCDBABEDD, ABCDBABEDE, ABCDBABEDF, ABCDBABEEA, ABCDBABEEB, ABCDBABEEC, ABCDBABEED, ABCDBABEEE, ABCDBABEEF, ABCDBABEFA, ABCDBABEFB, ABCDBABEFC, ABCDBABEFD, ABCDBABEFE, ABCDBABEFF, ABCDBABEFG, ABCDBACAAA, ABCDBACAAB, ABCDBACAAC, ABCDBACAAD, ABCDBACAAE, ABCDBACABA, ABCDBACABB, ABCDBACABC, ABCDBACABD, ABCDBACABE, ABCDBACACA, ABCDBACACB, ABCDBACACC, ABCDBACACD, ABCDBACACE, ABCDBACADA, ABCDBACADB, ABCDBACADC, ABCDBACADD, ABCDBACADE, ABCDBACAEA, ABCDBACAEB, ABCDBACAEC, ABCDBACAED, ABCDBACAEE, ABCDBACAEF, ABCDBACBAA, ABCDBACBAB, ABCDBACBAC, ABCDBACBAD, ABCDBACBAE, ABCDBACBBA, ABCDBACBBB, ABCDBACBBC, ABCDBACBBD, ABCDBACBBE, ABCDBACBCA, ABCDBACBCB, ABCDBACBCC, ABCDBACBCD, ABCDBACBCE, ABCDBACBDA, ABCDBACBDB, ABCDBACBDC, ABCDBACBDD, ABCDBACBDE, ABCDBACBEA, ABCDBACBEB, ABCDBACBEC, ABCDBACBED, ABCDBACBEE, ABCDBACBEF, ABCDBACCAA, ABCDBACCAB, ABCDBACCAC, ABCDBACCAD, ABCDBACCAE, ABCDBACCBA, ABCDBACCBB, ABCDBACCBC, ABCDBACCBD, ABCDBACCBE, ABCDBACCCA, ABCDBACCCB, ABCDBACCCC, ABCDBACCCD, ABCDBACCCE, ABCDBACCDA, ABCDBACCDB, ABCDBACCDC, ABCDBACCDD, ABCDBACCDE, ABCDBACCEA, ABCDBACCEB, ABCDBACCEC, ABCDBACCED, ABCDBACCEE, ABCDBACCEF, ABCDBACDAA, ABCDBACDAB, ABCDBACDAC, ABCDBACDAD, ABCDBACDAE, ABCDBACDBA, ABCDBACDBB, ABCDBACDBC, ABCDBACDBD, ABCDBACDBE, ABCDBACDCA, ABCDBACDCB, ABCDBACDCC, ABCDBACDCD, ABCDBACDCE, ABCDBACDDA, ABCDBACDDB, ABCDBACDDC, ABCDBACDDD, ABCDBACDDE, ABCDBACDEA, ABCDBACDEB, ABCDBACDEC, ABCDBACDED, ABCDBACDEE, ABCDBACDEF, ABCDBACEAA, ABCDBACEAB, ABCDBACEAC, ABCDBACEAD, ABCDBACEAE, ABCDBACEAF, ABCDBACEBA, ABCDBACEBB, ABCDBACEBC, ABCDBACEBD, ABCDBACEBE, ABCDBACEBF, ABCDBACECA, ABCDBACECB, ABCDBACECC, ABCDBACECD, ABCDBACECE, ABCDBACECF, ABCDBACEDA, ABCDBACEDB, ABCDBACEDC, ABCDBACEDD, ABCDBACEDE, ABCDBACEDF, ABCDBACEEA, ABCDBACEEB, ABCDBACEEC, ABCDBACEED, ABCDBACEEE, ABCDBACEEF, ABCDBACEFA, ABCDBACEFB, ABCDBACEFC, ABCDBACEFD, ABCDBACEFE, ABCDBACEFF, ABCDBACEFG, ABCDBADAAA, ABCDBADAAB, ABCDBADAAC, ABCDBADAAD, ABCDBADAAE, ABCDBADABA, ABCDBADABB, ABCDBADABC, ABCDBADABD, ABCDBADABE, ABCDBADACA, ABCDBADACB, ABCDBADACC, ABCDBADACD, ABCDBADACE, ABCDBADADA, ABCDBADADB, ABCDBADADC, ABCDBADADD, ABCDBADADE, ABCDBADAEA, ABCDBADAEB, ABCDBADAEC, ABCDBADAED, ABCDBADAEE, ABCDBADAEF, ABCDBADBAA, ABCDBADBAB, ABCDBADBAC, ABCDBADBAD, ABCDBADBAE, ABCDBADBBA, ABCDBADBBB, ABCDBADBBC, ABCDBADBBD, ABCDBADBBE, ABCDBADBCA, ABCDBADBCB, ABCDBADBCC, ABCDBADBCD, ABCDBADBCE, ABCDBADBDA, ABCDBADBDB, ABCDBADBDC, ABCDBADBDD, ABCDBADBDE, ABCDBADBEA, ABCDBADBEB, ABCDBADBEC, ABCDBADBED, ABCDBADBEE, ABCDBADBEF, ABCDBADCAA, ABCDBADCAB, ABCDBADCAC, ABCDBADCAD, ABCDBADCAE, ABCDBADCBA, ABCDBADCBB, ABCDBADCBC, ABCDBADCBD, ABCDBADCBE, ABCDBADCCA, ABCDBADCCB, ABCDBADCCC, ABCDBADCCD, ABCDBADCCE, ABCDBADCDA, ABCDBADCDB, ABCDBADCDC, ABCDBADCDD, ABCDBADCDE, ABCDBADCEA, ABCDBADCEB, ABCDBADCEC, ABCDBADCED, ABCDBADCEE, ABCDBADCEF, ABCDBADDAA, ABCDBADDAB, ABCDBADDAC, ABCDBADDAD, ABCDBADDAE, ABCDBADDBA, ABCDBADDBB, ABCDBADDBC, ABCDBADDBD, ABCDBADDBE, ABCDBADDCA, ABCDBADDCB, ABCDBADDCC, ABCDBADDCD, ABCDBADDCE, ABCDBADDDA, ABCDBADDDB, ABCDBADDDC, ABCDBADDDD, ABCDBADDDE, ABCDBADDEA, ABCDBADDEB, ABCDBADDEC, ABCDBADDED, ABCDBADDEE, ABCDBADDEF, ABCDBADEAA, ABCDBADEAB, ABCDBADEAC, ABCDBADEAD, ABCDBADEAE, ABCDBADEAF, ABCDBADEBA, ABCDBADEBB, ABCDBADEBC, ABCDBADEBD, ABCDBADEBE, ABCDBADEBF, ABCDBADECA, ABCDBADECB, ABCDBADECC, ABCDBADECD, ABCDBADECE, ABCDBADECF, ABCDBADEDA, ABCDBADEDB, ABCDBADEDC, ABCDBADEDD, ABCDBADEDE, ABCDBADEDF, ABCDBADEEA, ABCDBADEEB, ABCDBADEEC, ABCDBADEED, ABCDBADEEE, ABCDBADEEF, ABCDBADEFA, ABCDBADEFB, ABCDBADEFC, ABCDBADEFD, ABCDBADEFE, ABCDBADEFF, ABCDBADEFG, ABCDBAEAAA, ABCDBAEAAB, ABCDBAEAAC, ABCDBAEAAD, ABCDBAEAAE, ABCDBAEAAF, ABCDBAEABA, ABCDBAEABB, ABCDBAEABC, ABCDBAEABD, ABCDBAEABE, ABCDBAEABF, ABCDBAEACA, ABCDBAEACB, ABCDBAEACC, ABCDBAEACD, ABCDBAEACE, ABCDBAEACF, ABCDBAEADA, ABCDBAEADB, ABCDBAEADC, ABCDBAEADD, ABCDBAEADE, ABCDBAEADF, ABCDBAEAEA, ABCDBAEAEB, ABCDBAEAEC, ABCDBAEAED, ABCDBAEAEE, ABCDBAEAEF, ABCDBAEAFA, ABCDBAEAFB, ABCDBAEAFC, ABCDBAEAFD, ABCDBAEAFE, ABCDBAEAFF, ABCDBAEAFG, ABCDBAEBAA, ABCDBAEBAB, ABCDBAEBAC, ABCDBAEBAD, ABCDBAEBAE, ABCDBAEBAF, ABCDBAEBBA, ABCDBAEBBB, ABCDBAEBBC, ABCDBAEBBD, ABCDBAEBBE, ABCDBAEBBF, ABCDBAEBCA, ABCDBAEBCB, ABCDBAEBCC, ABCDBAEBCD, ABCDBAEBCE, ABCDBAEBCF, ABCDBAEBDA, ABCDBAEBDB, ABCDBAEBDC, ABCDBAEBDD, ABCDBAEBDE, ABCDBAEBDF, ABCDBAEBEA, ABCDBAEBEB, ABCDBAEBEC, ABCDBAEBED, ABCDBAEBEE, ABCDBAEBEF, ABCDBAEBFA, ABCDBAEBFB, ABCDBAEBFC, ABCDBAEBFD, ABCDBAEBFE, ABCDBAEBFF, ABCDBAEBFG, ABCDBAECAA, ABCDBAECAB, ABCDBAECAC, ABCDBAECAD, ABCDBAECAE, ABCDBAECAF, ABCDBAECBA, ABCDBAECBB, ABCDBAECBC, ABCDBAECBD, ABCDBAECBE, ABCDBAECBF, ABCDBAECCA, ABCDBAECCB, ABCDBAECCC, ABCDBAECCD, ABCDBAECCE, ABCDBAECCF, ABCDBAECDA, ABCDBAECDB, ABCDBAECDC, ABCDBAECDD, ABCDBAECDE, ABCDBAECDF, ABCDBAECEA, ABCDBAECEB, ABCDBAECEC, ABCDBAECED, ABCDBAECEE, ABCDBAECEF, ABCDBAECFA, ABCDBAECFB, ABCDBAECFC, ABCDBAECFD, ABCDBAECFE, ABCDBAECFF, ABCDBAECFG, ABCDBAEDAA, ABCDBAEDAB, ABCDBAEDAC, ABCDBAEDAD, ABCDBAEDAE, ABCDBAEDAF, ABCDBAEDBA, ABCDBAEDBB, ABCDBAEDBC, ABCDBAEDBD, ABCDBAEDBE, ABCDBAEDBF, ABCDBAEDCA, ABCDBAEDCB, ABCDBAEDCC, ABCDBAEDCD, ABCDBAEDCE, ABCDBAEDCF, ABCDBAEDDA, ABCDBAEDDB, ABCDBAEDDC, ABCDBAEDDD, ABCDBAEDDE, ABCDBAEDDF, ABCDBAEDEA, ABCDBAEDEB, ABCDBAEDEC, ABCDBAEDED, ABCDBAEDEE, ABCDBAEDEF, ABCDBAEDFA, ABCDBAEDFB, ABCDBAEDFC, ABCDBAEDFD, ABCDBAEDFE, ABCDBAEDFF, ABCDBAEDFG, ABCDBAEEAA, ABCDBAEEAB, ABCDBAEEAC, ABCDBAEEAD, ABCDBAEEAE, ABCDBAEEAF, ABCDBAEEBA, ABCDBAEEBB, ABCDBAEEBC, ABCDBAEEBD, ABCDBAEEBE, ABCDBAEEBF, ABCDBAEECA, ABCDBAEECB, ABCDBAEECC, ABCDBAEECD, ABCDBAEECE, ABCDBAEECF, ABCDBAEEDA, ABCDBAEEDB, ABCDBAEEDC, ABCDBAEEDD, ABCDBAEEDE, ABCDBAEEDF, ABCDBAEEEA, ABCDBAEEEB, ABCDBAEEEC, ABCDBAEEED, ABCDBAEEEE, ABCDBAEEEF, ABCDBAEEFA, ABCDBAEEFB, ABCDBAEEFC, ABCDBAEEFD, ABCDBAEEFE, ABCDBAEEFF, ABCDBAEEFG, ABCDBAEFAA, ABCDBAEFAB, ABCDBAEFAC, ABCDBAEFAD, ABCDBAEFAE, ABCDBAEFAF, ABCDBAEFAG, ABCDBAEFBA, ABCDBAEFBB, ABCDBAEFBC, ABCDBAEFBD, ABCDBAEFBE, ABCDBAEFBF, ABCDBAEFBG, ABCDBAEFCA, ABCDBAEFCB, ABCDBAEFCC, ABCDBAEFCD, ABCDBAEFCE, ABCDBAEFCF, ABCDBAEFCG, ABCDBAEFDA, ABCDBAEFDB, ABCDBAEFDC, ABCDBAEFDD, ABCDBAEFDE, ABCDBAEFDF, ABCDBAEFDG, ABCDBAEFEA, ABCDBAEFEB, ABCDBAEFEC, ABCDBAEFED, ABCDBAEFEE, ABCDBAEFEF, ABCDBAEFEG, ABCDBAEFFA, ABCDBAEFFB, ABCDBAEFFC, ABCDBAEFFD, ABCDBAEFFE, ABCDBAEFFF, ABCDBAEFFG, ABCDBAEFGA, ABCDBAEFGB, ABCDBAEFGC, ABCDBAEFGD, ABCDBAEFGE, ABCDBAEFGF, ABCDBAEFGG, ABCDBAEFGH, ABCDBBAAAA, ABCDBBAAAB, ABCDBBAAAC, ABCDBBAAAD, ABCDBBAAAE, ABCDBBAABA, ABCDBBAABB, ABCDBBAABC, ABCDBBAABD, ABCDBBAABE, ABCDBBAACA, ABCDBBAACB, ABCDBBAACC, ABCDBBAACD, ABCDBBAACE, ABCDBBAADA, ABCDBBAADB, ABCDBBAADC, ABCDBBAADD, ABCDBBAADE, ABCDBBAAEA, ABCDBBAAEB, ABCDBBAAEC, ABCDBBAAED, ABCDBBAAEE, ABCDBBAAEF, ABCDBBABAA, ABCDBBABAB, ABCDBBABAC, ABCDBBABAD, ABCDBBABAE, ABCDBBABBA, ABCDBBABBB, ABCDBBABBC, ABCDBBABBD, ABCDBBABBE, ABCDBBABCA, ABCDBBABCB, ABCDBBABCC, ABCDBBABCD, ABCDBBABCE, ABCDBBABDA, ABCDBBABDB, ABCDBBABDC, ABCDBBABDD, ABCDBBABDE, ABCDBBABEA, ABCDBBABEB, ABCDBBABEC, ABCDBBABED, ABCDBBABEE, ABCDBBABEF, ABCDBBACAA, ABCDBBACAB, ABCDBBACAC, ABCDBBACAD, ABCDBBACAE, ABCDBBACBA, ABCDBBACBB, ABCDBBACBC, ABCDBBACBD, ABCDBBACBE, ABCDBBACCA, ABCDBBACCB, ABCDBBACCC, ABCDBBACCD, ABCDBBACCE, ABCDBBACDA, ABCDBBACDB, ABCDBBACDC, ABCDBBACDD, ABCDBBACDE, ABCDBBACEA, ABCDBBACEB, 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ABCDBCBBEB, ABCDBCBBEC, ABCDBCBBED, ABCDBCBBEE, ABCDBCBBEF, ABCDBCBCAA, ABCDBCBCAB, ABCDBCBCAC, ABCDBCBCAD, ABCDBCBCAE, ABCDBCBCBA, ABCDBCBCBB, ABCDBCBCBC, ABCDBCBCBD, ABCDBCBCBE, ABCDBCBCCA, ABCDBCBCCB, ABCDBCBCCC, ABCDBCBCCD, ABCDBCBCCE, ABCDBCBCDA, ABCDBCBCDB, ABCDBCBCDC, ABCDBCBCDD, ABCDBCBCDE, ABCDBCBCEA, ABCDBCBCEB, ABCDBCBCEC, ABCDBCBCED, ABCDBCBCEE, ABCDBCBCEF, ABCDBCBDAA, ABCDBCBDAB, ABCDBCBDAC, ABCDBCBDAD, ABCDBCBDAE, ABCDBCBDBA, ABCDBCBDBB, ABCDBCBDBC, ABCDBCBDBD, ABCDBCBDBE, ABCDBCBDCA, ABCDBCBDCB, ABCDBCBDCC, ABCDBCBDCD, ABCDBCBDCE, ABCDBCBDDA, ABCDBCBDDB, ABCDBCBDDC, ABCDBCBDDD, ABCDBCBDDE, ABCDBCBDEA, ABCDBCBDEB, ABCDBCBDEC, ABCDBCBDED, ABCDBCBDEE, ABCDBCBDEF, ABCDBCBEAA, ABCDBCBEAB, ABCDBCBEAC, ABCDBCBEAD, ABCDBCBEAE, ABCDBCBEAF, ABCDBCBEBA, ABCDBCBEBB, ABCDBCBEBC, ABCDBCBEBD, ABCDBCBEBE, ABCDBCBEBF, ABCDBCBECA, ABCDBCBECB, ABCDBCBECC, ABCDBCBECD, ABCDBCBECE, ABCDBCBECF, ABCDBCBEDA, ABCDBCBEDB, ABCDBCBEDC, ABCDBCBEDD, ABCDBCBEDE, ABCDBCBEDF, ABCDBCBEEA, ABCDBCBEEB, ABCDBCBEEC, ABCDBCBEED, ABCDBCBEEE, ABCDBCBEEF, ABCDBCBEFA, ABCDBCBEFB, ABCDBCBEFC, ABCDBCBEFD, ABCDBCBEFE, ABCDBCBEFF, ABCDBCBEFG, ABCDBCCAAA, ABCDBCCAAB, ABCDBCCAAC, ABCDBCCAAD, ABCDBCCAAE, ABCDBCCABA, ABCDBCCABB, ABCDBCCABC, ABCDBCCABD, ABCDBCCABE, ABCDBCCACA, ABCDBCCACB, ABCDBCCACC, ABCDBCCACD, ABCDBCCACE, ABCDBCCADA, ABCDBCCADB, ABCDBCCADC, ABCDBCCADD, ABCDBCCADE, ABCDBCCAEA, ABCDBCCAEB, ABCDBCCAEC, ABCDBCCAED, ABCDBCCAEE, ABCDBCCAEF, ABCDBCCBAA, ABCDBCCBAB, ABCDBCCBAC, ABCDBCCBAD, ABCDBCCBAE, ABCDBCCBBA, ABCDBCCBBB, ABCDBCCBBC, ABCDBCCBBD, ABCDBCCBBE, ABCDBCCBCA, ABCDBCCBCB, ABCDBCCBCC, ABCDBCCBCD, ABCDBCCBCE, ABCDBCCBDA, ABCDBCCBDB, ABCDBCCBDC, ABCDBCCBDD, ABCDBCCBDE, ABCDBCCBEA, ABCDBCCBEB, ABCDBCCBEC, ABCDBCCBED, ABCDBCCBEE, ABCDBCCBEF, ABCDBCCCAA, ABCDBCCCAB, ABCDBCCCAC, ABCDBCCCAD, ABCDBCCCAE, ABCDBCCCBA, ABCDBCCCBB, ABCDBCCCBC, ABCDBCCCBD, ABCDBCCCBE, ABCDBCCCCA, ABCDBCCCCB, ABCDBCCCCC, ABCDBCCCCD, ABCDBCCCCE, ABCDBCCCDA, ABCDBCCCDB, ABCDBCCCDC, ABCDBCCCDD, ABCDBCCCDE, ABCDBCCCEA, ABCDBCCCEB, ABCDBCCCEC, ABCDBCCCED, ABCDBCCCEE, ABCDBCCCEF, ABCDBCCDAA, ABCDBCCDAB, ABCDBCCDAC, ABCDBCCDAD, ABCDBCCDAE, ABCDBCCDBA, ABCDBCCDBB, ABCDBCCDBC, ABCDBCCDBD, ABCDBCCDBE, ABCDBCCDCA, ABCDBCCDCB, ABCDBCCDCC, ABCDBCCDCD, ABCDBCCDCE, ABCDBCCDDA, ABCDBCCDDB, ABCDBCCDDC, ABCDBCCDDD, ABCDBCCDDE, ABCDBCCDEA, ABCDBCCDEB, ABCDBCCDEC, ABCDBCCDED, ABCDBCCDEE, ABCDBCCDEF, ABCDBCCEAA, ABCDBCCEAB, ABCDBCCEAC, ABCDBCCEAD, ABCDBCCEAE, ABCDBCCEAF, ABCDBCCEBA, ABCDBCCEBB, ABCDBCCEBC, ABCDBCCEBD, ABCDBCCEBE, ABCDBCCEBF, ABCDBCCECA, ABCDBCCECB, ABCDBCCECC, ABCDBCCECD, ABCDBCCECE, ABCDBCCECF, ABCDBCCEDA, ABCDBCCEDB, ABCDBCCEDC, ABCDBCCEDD, ABCDBCCEDE, ABCDBCCEDF, ABCDBCCEEA, ABCDBCCEEB, ABCDBCCEEC, ABCDBCCEED, ABCDBCCEEE, ABCDBCCEEF, ABCDBCCEFA, ABCDBCCEFB, ABCDBCCEFC, ABCDBCCEFD, ABCDBCCEFE, ABCDBCCEFF, ABCDBCCEFG, ABCDBCDAAA, ABCDBCDAAB, ABCDBCDAAC, ABCDBCDAAD, ABCDBCDAAE, ABCDBCDABA, ABCDBCDABB, ABCDBCDABC, ABCDBCDABD, ABCDBCDABE, ABCDBCDACA, ABCDBCDACB, ABCDBCDACC, ABCDBCDACD, ABCDBCDACE, ABCDBCDADA, ABCDBCDADB, ABCDBCDADC, ABCDBCDADD, ABCDBCDADE, ABCDBCDAEA, ABCDBCDAEB, ABCDBCDAEC, ABCDBCDAED, ABCDBCDAEE, ABCDBCDAEF, ABCDBCDBAA, ABCDBCDBAB, ABCDBCDBAC, ABCDBCDBAD, ABCDBCDBAE, ABCDBCDBBA, ABCDBCDBBB, ABCDBCDBBC, ABCDBCDBBD, ABCDBCDBBE, ABCDBCDBCA, ABCDBCDBCB, ABCDBCDBCC, ABCDBCDBCD, ABCDBCDBCE, ABCDBCDBDA, ABCDBCDBDB, ABCDBCDBDC, ABCDBCDBDD, ABCDBCDBDE, ABCDBCDBEA, ABCDBCDBEB, ABCDBCDBEC, ABCDBCDBED, ABCDBCDBEE, ABCDBCDBEF, ABCDBCDCAA, ABCDBCDCAB, ABCDBCDCAC, ABCDBCDCAD, ABCDBCDCAE, ABCDBCDCBA, ABCDBCDCBB, ABCDBCDCBC, ABCDBCDCBD, ABCDBCDCBE, ABCDBCDCCA, ABCDBCDCCB, ABCDBCDCCC, ABCDBCDCCD, ABCDBCDCCE, ABCDBCDCDA, ABCDBCDCDB, ABCDBCDCDC, ABCDBCDCDD, ABCDBCDCDE, ABCDBCDCEA, ABCDBCDCEB, ABCDBCDCEC, ABCDBCDCED, ABCDBCDCEE, ABCDBCDCEF, ABCDBCDDAA, ABCDBCDDAB, ABCDBCDDAC, ABCDBCDDAD, ABCDBCDDAE, ABCDBCDDBA, ABCDBCDDBB, ABCDBCDDBC, ABCDBCDDBD, ABCDBCDDBE, ABCDBCDDCA, ABCDBCDDCB, ABCDBCDDCC, ABCDBCDDCD, ABCDBCDDCE, ABCDBCDDDA, ABCDBCDDDB, ABCDBCDDDC, ABCDBCDDDD, ABCDBCDDDE, ABCDBCDDEA, ABCDBCDDEB, ABCDBCDDEC, ABCDBCDDED, ABCDBCDDEE, ABCDBCDDEF, ABCDBCDEAA, ABCDBCDEAB, ABCDBCDEAC, ABCDBCDEAD, ABCDBCDEAE, ABCDBCDEAF, ABCDBCDEBA, ABCDBCDEBB, ABCDBCDEBC, ABCDBCDEBD, ABCDBCDEBE, ABCDBCDEBF, ABCDBCDECA, ABCDBCDECB, ABCDBCDECC, ABCDBCDECD, ABCDBCDECE, ABCDBCDECF, ABCDBCDEDA, ABCDBCDEDB, ABCDBCDEDC, ABCDBCDEDD, ABCDBCDEDE, ABCDBCDEDF, ABCDBCDEEA, ABCDBCDEEB, ABCDBCDEEC, ABCDBCDEED, ABCDBCDEEE, ABCDBCDEEF, ABCDBCDEFA, ABCDBCDEFB, ABCDBCDEFC, ABCDBCDEFD, ABCDBCDEFE, ABCDBCDEFF, ABCDBCDEFG, ABCDBCEAAA, ABCDBCEAAB, ABCDBCEAAC, ABCDBCEAAD, ABCDBCEAAE, ABCDBCEAAF, ABCDBCEABA, ABCDBCEABB, ABCDBCEABC, ABCDBCEABD, ABCDBCEABE, ABCDBCEABF, ABCDBCEACA, ABCDBCEACB, ABCDBCEACC, ABCDBCEACD, ABCDBCEACE, ABCDBCEACF, ABCDBCEADA, ABCDBCEADB, ABCDBCEADC, ABCDBCEADD, ABCDBCEADE, ABCDBCEADF, ABCDBCEAEA, ABCDBCEAEB, ABCDBCEAEC, ABCDBCEAED, ABCDBCEAEE, ABCDBCEAEF, ABCDBCEAFA, ABCDBCEAFB, ABCDBCEAFC, ABCDBCEAFD, ABCDBCEAFE, ABCDBCEAFF, ABCDBCEAFG, ABCDBCEBAA, ABCDBCEBAB, ABCDBCEBAC, ABCDBCEBAD, ABCDBCEBAE, ABCDBCEBAF, ABCDBCEBBA, ABCDBCEBBB, ABCDBCEBBC, ABCDBCEBBD, ABCDBCEBBE, ABCDBCEBBF, ABCDBCEBCA, ABCDBCEBCB, ABCDBCEBCC, ABCDBCEBCD, ABCDBCEBCE, ABCDBCEBCF, ABCDBCEBDA, ABCDBCEBDB, ABCDBCEBDC, ABCDBCEBDD, ABCDBCEBDE, ABCDBCEBDF, ABCDBCEBEA, ABCDBCEBEB, ABCDBCEBEC, ABCDBCEBED, ABCDBCEBEE, ABCDBCEBEF, ABCDBCEBFA, ABCDBCEBFB, ABCDBCEBFC, ABCDBCEBFD, ABCDBCEBFE, ABCDBCEBFF, ABCDBCEBFG, ABCDBCECAA, ABCDBCECAB, ABCDBCECAC, ABCDBCECAD, ABCDBCECAE, ABCDBCECAF, ABCDBCECBA, ABCDBCECBB, ABCDBCECBC, ABCDBCECBD, ABCDBCECBE, ABCDBCECBF, ABCDBCECCA, ABCDBCECCB, ABCDBCECCC, ABCDBCECCD, ABCDBCECCE, ABCDBCECCF, ABCDBCECDA, ABCDBCECDB, ABCDBCECDC, ABCDBCECDD, ABCDBCECDE, ABCDBCECDF, ABCDBCECEA, ABCDBCECEB, ABCDBCECEC, ABCDBCECED, ABCDBCECEE, ABCDBCECEF, ABCDBCECFA, ABCDBCECFB, ABCDBCECFC, ABCDBCECFD, ABCDBCECFE, ABCDBCECFF, ABCDBCECFG, ABCDBCEDAA, ABCDBCEDAB, ABCDBCEDAC, ABCDBCEDAD, ABCDBCEDAE, ABCDBCEDAF, ABCDBCEDBA, ABCDBCEDBB, ABCDBCEDBC, ABCDBCEDBD, ABCDBCEDBE, ABCDBCEDBF, ABCDBCEDCA, ABCDBCEDCB, ABCDBCEDCC, ABCDBCEDCD, ABCDBCEDCE, ABCDBCEDCF, ABCDBCEDDA, ABCDBCEDDB, ABCDBCEDDC, ABCDBCEDDD, ABCDBCEDDE, ABCDBCEDDF, ABCDBCEDEA, ABCDBCEDEB, ABCDBCEDEC, ABCDBCEDED, ABCDBCEDEE, ABCDBCEDEF, ABCDBCEDFA, ABCDBCEDFB, ABCDBCEDFC, ABCDBCEDFD, ABCDBCEDFE, ABCDBCEDFF, ABCDBCEDFG, ABCDBCEEAA, ABCDBCEEAB, ABCDBCEEAC, ABCDBCEEAD, ABCDBCEEAE, ABCDBCEEAF, ABCDBCEEBA, ABCDBCEEBB, ABCDBCEEBC, ABCDBCEEBD, ABCDBCEEBE, ABCDBCEEBF, ABCDBCEECA, ABCDBCEECB, ABCDBCEECC, ABCDBCEECD, ABCDBCEECE, ABCDBCEECF, ABCDBCEEDA, ABCDBCEEDB, ABCDBCEEDC, ABCDBCEEDD, ABCDBCEEDE, ABCDBCEEDF, ABCDBCEEEA, ABCDBCEEEB, ABCDBCEEEC, ABCDBCEEED, ABCDBCEEEE, ABCDBCEEEF, ABCDBCEEFA, ABCDBCEEFB, ABCDBCEEFC, ABCDBCEEFD, ABCDBCEEFE, ABCDBCEEFF, ABCDBCEEFG, ABCDBCEFAA, ABCDBCEFAB, ABCDBCEFAC, ABCDBCEFAD, ABCDBCEFAE, ABCDBCEFAF, ABCDBCEFAG, ABCDBCEFBA, ABCDBCEFBB, ABCDBCEFBC, ABCDBCEFBD, ABCDBCEFBE, ABCDBCEFBF, ABCDBCEFBG, ABCDBCEFCA, ABCDBCEFCB, ABCDBCEFCC, ABCDBCEFCD, ABCDBCEFCE, ABCDBCEFCF, ABCDBCEFCG, ABCDBCEFDA, ABCDBCEFDB, ABCDBCEFDC, ABCDBCEFDD, ABCDBCEFDE, ABCDBCEFDF, ABCDBCEFDG, ABCDBCEFEA, ABCDBCEFEB, ABCDBCEFEC, ABCDBCEFED, ABCDBCEFEE, ABCDBCEFEF, ABCDBCEFEG, ABCDBCEFFA, ABCDBCEFFB, ABCDBCEFFC, ABCDBCEFFD, ABCDBCEFFE, ABCDBCEFFF, ABCDBCEFFG, ABCDBCEFGA, ABCDBCEFGB, ABCDBCEFGC, ABCDBCEFGD, ABCDBCEFGE, ABCDBCEFGF, ABCDBCEFGG, ABCDBCEFGH, ABCDBDAAAA, ABCDBDAAAB, ABCDBDAAAC, ABCDBDAAAD, ABCDBDAAAE, ABCDBDAABA, ABCDBDAABB, ABCDBDAABC, ABCDBDAABD, ABCDBDAABE, ABCDBDAACA, ABCDBDAACB, ABCDBDAACC, ABCDBDAACD, ABCDBDAACE, ABCDBDAADA, ABCDBDAADB, ABCDBDAADC, ABCDBDAADD, ABCDBDAADE, ABCDBDAAEA, ABCDBDAAEB, ABCDBDAAEC, ABCDBDAAED, ABCDBDAAEE, ABCDBDAAEF, ABCDBDABAA, ABCDBDABAB, ABCDBDABAC, ABCDBDABAD, ABCDBDABAE, ABCDBDABBA, ABCDBDABBB, ABCDBDABBC, ABCDBDABBD, ABCDBDABBE, ABCDBDABCA, ABCDBDABCB, ABCDBDABCC, ABCDBDABCD, ABCDBDABCE, ABCDBDABDA, ABCDBDABDB, ABCDBDABDC, ABCDBDABDD, ABCDBDABDE, ABCDBDABEA, ABCDBDABEB, ABCDBDABEC, ABCDBDABED, ABCDBDABEE, ABCDBDABEF, ABCDBDACAA, ABCDBDACAB, ABCDBDACAC, ABCDBDACAD, ABCDBDACAE, ABCDBDACBA, ABCDBDACBB, ABCDBDACBC, ABCDBDACBD, ABCDBDACBE, ABCDBDACCA, ABCDBDACCB, ABCDBDACCC, ABCDBDACCD, ABCDBDACCE, ABCDBDACDA, ABCDBDACDB, ABCDBDACDC, ABCDBDACDD, ABCDBDACDE, ABCDBDACEA, ABCDBDACEB, ABCDBDACEC, ABCDBDACED, ABCDBDACEE, ABCDBDACEF, ABCDBDADAA, ABCDBDADAB, ABCDBDADAC, ABCDBDADAD, ABCDBDADAE, ABCDBDADBA, ABCDBDADBB, ABCDBDADBC, ABCDBDADBD, ABCDBDADBE, ABCDBDADCA, ABCDBDADCB, ABCDBDADCC, ABCDBDADCD, ABCDBDADCE, ABCDBDADDA, ABCDBDADDB, ABCDBDADDC, ABCDBDADDD, ABCDBDADDE, ABCDBDADEA, ABCDBDADEB, ABCDBDADEC, ABCDBDADED, ABCDBDADEE, ABCDBDADEF, ABCDBDAEAA, ABCDBDAEAB, ABCDBDAEAC, ABCDBDAEAD, ABCDBDAEAE, ABCDBDAEAF, ABCDBDAEBA, ABCDBDAEBB, ABCDBDAEBC, ABCDBDAEBD, ABCDBDAEBE, ABCDBDAEBF, ABCDBDAECA, ABCDBDAECB, ABCDBDAECC, ABCDBDAECD, ABCDBDAECE, ABCDBDAECF, ABCDBDAEDA, ABCDBDAEDB, ABCDBDAEDC, ABCDBDAEDD, ABCDBDAEDE, ABCDBDAEDF, ABCDBDAEEA, ABCDBDAEEB, ABCDBDAEEC, ABCDBDAEED, ABCDBDAEEE, ABCDBDAEEF, ABCDBDAEFA, ABCDBDAEFB, ABCDBDAEFC, ABCDBDAEFD, ABCDBDAEFE, ABCDBDAEFF, ABCDBDAEFG, ABCDBDBAAA, ABCDBDBAAB, ABCDBDBAAC, ABCDBDBAAD, ABCDBDBAAE, ABCDBDBABA, ABCDBDBABB, ABCDBDBABC, ABCDBDBABD, ABCDBDBABE, ABCDBDBACA, ABCDBDBACB, ABCDBDBACC, ABCDBDBACD, ABCDBDBACE, ABCDBDBADA, ABCDBDBADB, ABCDBDBADC, ABCDBDBADD, ABCDBDBADE, ABCDBDBAEA, ABCDBDBAEB, ABCDBDBAEC, ABCDBDBAED, ABCDBDBAEE, ABCDBDBAEF, ABCDBDBBAA, ABCDBDBBAB, ABCDBDBBAC, ABCDBDBBAD, ABCDBDBBAE, ABCDBDBBBA, ABCDBDBBBB, ABCDBDBBBC, ABCDBDBBBD, ABCDBDBBBE, ABCDBDBBCA, ABCDBDBBCB, ABCDBDBBCC, ABCDBDBBCD, ABCDBDBBCE, ABCDBDBBDA, ABCDBDBBDB, ABCDBDBBDC, ABCDBDBBDD, ABCDBDBBDE, ABCDBDBBEA, ABCDBDBBEB, ABCDBDBBEC, ABCDBDBBED, ABCDBDBBEE, ABCDBDBBEF, ABCDBDBCAA, ABCDBDBCAB, ABCDBDBCAC, ABCDBDBCAD, ABCDBDBCAE, ABCDBDBCBA, ABCDBDBCBB, ABCDBDBCBC, ABCDBDBCBD, ABCDBDBCBE, ABCDBDBCCA, ABCDBDBCCB, ABCDBDBCCC, ABCDBDBCCD, ABCDBDBCCE, ABCDBDBCDA, ABCDBDBCDB, ABCDBDBCDC, ABCDBDBCDD, ABCDBDBCDE, ABCDBDBCEA, ABCDBDBCEB, ABCDBDBCEC, ABCDBDBCED, ABCDBDBCEE, ABCDBDBCEF, ABCDBDBDAA, ABCDBDBDAB, ABCDBDBDAC, ABCDBDBDAD, ABCDBDBDAE, ABCDBDBDBA, ABCDBDBDBB, ABCDBDBDBC, ABCDBDBDBD, ABCDBDBDBE, ABCDBDBDCA, ABCDBDBDCB, ABCDBDBDCC, ABCDBDBDCD, ABCDBDBDCE, ABCDBDBDDA, ABCDBDBDDB, ABCDBDBDDC, ABCDBDBDDD, ABCDBDBDDE, ABCDBDBDEA, ABCDBDBDEB, ABCDBDBDEC, ABCDBDBDED, ABCDBDBDEE, ABCDBDBDEF, ABCDBDBEAA, ABCDBDBEAB, ABCDBDBEAC, ABCDBDBEAD, ABCDBDBEAE, ABCDBDBEAF, ABCDBDBEBA, ABCDBDBEBB, ABCDBDBEBC, ABCDBDBEBD, ABCDBDBEBE, ABCDBDBEBF, ABCDBDBECA, ABCDBDBECB, ABCDBDBECC, ABCDBDBECD, ABCDBDBECE, ABCDBDBECF, ABCDBDBEDA, ABCDBDBEDB, ABCDBDBEDC, ABCDBDBEDD, ABCDBDBEDE, ABCDBDBEDF, ABCDBDBEEA, ABCDBDBEEB, ABCDBDBEEC, ABCDBDBEED, ABCDBDBEEE, ABCDBDBEEF, ABCDBDBEFA, ABCDBDBEFB, ABCDBDBEFC, ABCDBDBEFD, ABCDBDBEFE, ABCDBDBEFF, ABCDBDBEFG, ABCDBDCAAA, ABCDBDCAAB, ABCDBDCAAC, ABCDBDCAAD, ABCDBDCAAE, ABCDBDCABA, ABCDBDCABB, ABCDBDCABC, ABCDBDCABD, ABCDBDCABE, ABCDBDCACA, ABCDBDCACB, ABCDBDCACC, ABCDBDCACD, ABCDBDCACE, ABCDBDCADA, ABCDBDCADB, ABCDBDCADC, ABCDBDCADD, ABCDBDCADE, ABCDBDCAEA, ABCDBDCAEB, ABCDBDCAEC, ABCDBDCAED, ABCDBDCAEE, ABCDBDCAEF, ABCDBDCBAA, ABCDBDCBAB, ABCDBDCBAC, ABCDBDCBAD, ABCDBDCBAE, ABCDBDCBBA, ABCDBDCBBB, ABCDBDCBBC, ABCDBDCBBD, ABCDBDCBBE, ABCDBDCBCA, ABCDBDCBCB, ABCDBDCBCC, ABCDBDCBCD, ABCDBDCBCE, ABCDBDCBDA, ABCDBDCBDB, ABCDBDCBDC, ABCDBDCBDD, ABCDBDCBDE, ABCDBDCBEA, ABCDBDCBEB, ABCDBDCBEC, ABCDBDCBED, ABCDBDCBEE, ABCDBDCBEF, ABCDBDCCAA, ABCDBDCCAB, ABCDBDCCAC, ABCDBDCCAD, ABCDBDCCAE, ABCDBDCCBA, ABCDBDCCBB, ABCDBDCCBC, ABCDBDCCBD, ABCDBDCCBE, ABCDBDCCCA, ABCDBDCCCB, ABCDBDCCCC, ABCDBDCCCD, ABCDBDCCCE, ABCDBDCCDA, ABCDBDCCDB, ABCDBDCCDC, ABCDBDCCDD, ABCDBDCCDE, ABCDBDCCEA, ABCDBDCCEB, ABCDBDCCEC, ABCDBDCCED, ABCDBDCCEE, ABCDBDCCEF, ABCDBDCDAA, ABCDBDCDAB, ABCDBDCDAC, ABCDBDCDAD, ABCDBDCDAE, ABCDBDCDBA, ABCDBDCDBB, ABCDBDCDBC, ABCDBDCDBD, ABCDBDCDBE, ABCDBDCDCA, ABCDBDCDCB, ABCDBDCDCC, ABCDBDCDCD, ABCDBDCDCE, ABCDBDCDDA, ABCDBDCDDB, ABCDBDCDDC, ABCDBDCDDD, ABCDBDCDDE, ABCDBDCDEA, ABCDBDCDEB, ABCDBDCDEC, ABCDBDCDED, ABCDBDCDEE, ABCDBDCDEF, ABCDBDCEAA, ABCDBDCEAB, ABCDBDCEAC, ABCDBDCEAD, ABCDBDCEAE, ABCDBDCEAF, ABCDBDCEBA, ABCDBDCEBB, ABCDBDCEBC, ABCDBDCEBD, ABCDBDCEBE, ABCDBDCEBF, ABCDBDCECA, ABCDBDCECB, ABCDBDCECC, ABCDBDCECD, ABCDBDCECE, ABCDBDCECF, ABCDBDCEDA, ABCDBDCEDB, ABCDBDCEDC, ABCDBDCEDD, ABCDBDCEDE, ABCDBDCEDF, ABCDBDCEEA, ABCDBDCEEB, ABCDBDCEEC, ABCDBDCEED, ABCDBDCEEE, ABCDBDCEEF, ABCDBDCEFA, ABCDBDCEFB, ABCDBDCEFC, ABCDBDCEFD, ABCDBDCEFE, ABCDBDCEFF, ABCDBDCEFG, ABCDBDDAAA, ABCDBDDAAB, ABCDBDDAAC, ABCDBDDAAD, ABCDBDDAAE, ABCDBDDABA, ABCDBDDABB, ABCDBDDABC, ABCDBDDABD, ABCDBDDABE, ABCDBDDACA, ABCDBDDACB, ABCDBDDACC, ABCDBDDACD, ABCDBDDACE, ABCDBDDADA, ABCDBDDADB, ABCDBDDADC, ABCDBDDADD, ABCDBDDADE, ABCDBDDAEA, ABCDBDDAEB, ABCDBDDAEC, ABCDBDDAED, ABCDBDDAEE, ABCDBDDAEF, ABCDBDDBAA, ABCDBDDBAB, ABCDBDDBAC, ABCDBDDBAD, ABCDBDDBAE, ABCDBDDBBA, ABCDBDDBBB, ABCDBDDBBC, ABCDBDDBBD, ABCDBDDBBE, ABCDBDDBCA, ABCDBDDBCB, ABCDBDDBCC, ABCDBDDBCD, ABCDBDDBCE, ABCDBDDBDA, ABCDBDDBDB, ABCDBDDBDC, ABCDBDDBDD, ABCDBDDBDE, ABCDBDDBEA, ABCDBDDBEB, ABCDBDDBEC, ABCDBDDBED, ABCDBDDBEE, ABCDBDDBEF, ABCDBDDCAA, ABCDBDDCAB, ABCDBDDCAC, ABCDBDDCAD, ABCDBDDCAE, ABCDBDDCBA, ABCDBDDCBB, ABCDBDDCBC, ABCDBDDCBD, ABCDBDDCBE, ABCDBDDCCA, ABCDBDDCCB, ABCDBDDCCC, ABCDBDDCCD, ABCDBDDCCE, ABCDBDDCDA, ABCDBDDCDB, ABCDBDDCDC, ABCDBDDCDD, ABCDBDDCDE, ABCDBDDCEA, ABCDBDDCEB, ABCDBDDCEC, ABCDBDDCED, ABCDBDDCEE, ABCDBDDCEF, ABCDBDDDAA, ABCDBDDDAB, ABCDBDDDAC, ABCDBDDDAD, ABCDBDDDAE, ABCDBDDDBA, ABCDBDDDBB, ABCDBDDDBC, ABCDBDDDBD, ABCDBDDDBE, ABCDBDDDCA, ABCDBDDDCB, ABCDBDDDCC, ABCDBDDDCD, ABCDBDDDCE, ABCDBDDDDA, ABCDBDDDDB, ABCDBDDDDC, ABCDBDDDDD, ABCDBDDDDE, ABCDBDDDEA, ABCDBDDDEB, ABCDBDDDEC, ABCDBDDDED, ABCDBDDDEE, ABCDBDDDEF, ABCDBDDEAA, ABCDBDDEAB, ABCDBDDEAC, ABCDBDDEAD, ABCDBDDEAE, ABCDBDDEAF, ABCDBDDEBA, ABCDBDDEBB, ABCDBDDEBC, ABCDBDDEBD, ABCDBDDEBE, ABCDBDDEBF, ABCDBDDECA, ABCDBDDECB, ABCDBDDECC, ABCDBDDECD, ABCDBDDECE, ABCDBDDECF, ABCDBDDEDA, ABCDBDDEDB, ABCDBDDEDC, ABCDBDDEDD, ABCDBDDEDE, ABCDBDDEDF, ABCDBDDEEA, ABCDBDDEEB, ABCDBDDEEC, ABCDBDDEED, ABCDBDDEEE, ABCDBDDEEF, ABCDBDDEFA, ABCDBDDEFB, ABCDBDDEFC, ABCDBDDEFD, ABCDBDDEFE, ABCDBDDEFF, ABCDBDDEFG, ABCDBDEAAA, ABCDBDEAAB, ABCDBDEAAC, ABCDBDEAAD, ABCDBDEAAE, ABCDBDEAAF, ABCDBDEABA, ABCDBDEABB, ABCDBDEABC, ABCDBDEABD, ABCDBDEABE, ABCDBDEABF, ABCDBDEACA, ABCDBDEACB, ABCDBDEACC, ABCDBDEACD, ABCDBDEACE, ABCDBDEACF, ABCDBDEADA, ABCDBDEADB, ABCDBDEADC, ABCDBDEADD, ABCDBDEADE, ABCDBDEADF, ABCDBDEAEA, ABCDBDEAEB, ABCDBDEAEC, ABCDBDEAED, ABCDBDEAEE, ABCDBDEAEF, ABCDBDEAFA, ABCDBDEAFB, ABCDBDEAFC, ABCDBDEAFD, ABCDBDEAFE, ABCDBDEAFF, ABCDBDEAFG, ABCDBDEBAA, ABCDBDEBAB, ABCDBDEBAC, ABCDBDEBAD, ABCDBDEBAE, ABCDBDEBAF, ABCDBDEBBA, ABCDBDEBBB, ABCDBDEBBC, ABCDBDEBBD, ABCDBDEBBE, ABCDBDEBBF, ABCDBDEBCA, ABCDBDEBCB, ABCDBDEBCC, ABCDBDEBCD, ABCDBDEBCE, ABCDBDEBCF, ABCDBDEBDA, ABCDBDEBDB, ABCDBDEBDC, ABCDBDEBDD, ABCDBDEBDE, ABCDBDEBDF, ABCDBDEBEA, ABCDBDEBEB, ABCDBDEBEC, ABCDBDEBED, ABCDBDEBEE, ABCDBDEBEF, ABCDBDEBFA, ABCDBDEBFB, ABCDBDEBFC, ABCDBDEBFD, ABCDBDEBFE, ABCDBDEBFF, ABCDBDEBFG, ABCDBDECAA, ABCDBDECAB, ABCDBDECAC, ABCDBDECAD, ABCDBDECAE, ABCDBDECAF, ABCDBDECBA, ABCDBDECBB, ABCDBDECBC, ABCDBDECBD, ABCDBDECBE, ABCDBDECBF, ABCDBDECCA, ABCDBDECCB, ABCDBDECCC, ABCDBDECCD, ABCDBDECCE, ABCDBDECCF, ABCDBDECDA, ABCDBDECDB, ABCDBDECDC, ABCDBDECDD, ABCDBDECDE, ABCDBDECDF, ABCDBDECEA, ABCDBDECEB, ABCDBDECEC, ABCDBDECED, ABCDBDECEE, ABCDBDECEF, ABCDBDECFA, ABCDBDECFB, ABCDBDECFC, ABCDBDECFD, ABCDBDECFE, ABCDBDECFF, ABCDBDECFG, ABCDBDEDAA, ABCDBDEDAB, ABCDBDEDAC, ABCDBDEDAD, ABCDBDEDAE, ABCDBDEDAF, ABCDBDEDBA, ABCDBDEDBB, ABCDBDEDBC, ABCDBDEDBD, ABCDBDEDBE, ABCDBDEDBF, ABCDBDEDCA, ABCDBDEDCB, ABCDBDEDCC, ABCDBDEDCD, ABCDBDEDCE, ABCDBDEDCF, ABCDBDEDDA, ABCDBDEDDB, ABCDBDEDDC, ABCDBDEDDD, ABCDBDEDDE, ABCDBDEDDF, ABCDBDEDEA, ABCDBDEDEB, ABCDBDEDEC, ABCDBDEDED, ABCDBDEDEE, ABCDBDEDEF, ABCDBDEDFA, ABCDBDEDFB, ABCDBDEDFC, ABCDBDEDFD, ABCDBDEDFE, ABCDBDEDFF, ABCDBDEDFG, ABCDBDEEAA, ABCDBDEEAB, ABCDBDEEAC, ABCDBDEEAD, ABCDBDEEAE, ABCDBDEEAF, ABCDBDEEBA, ABCDBDEEBB, ABCDBDEEBC, ABCDBDEEBD, ABCDBDEEBE, ABCDBDEEBF, ABCDBDEECA, ABCDBDEECB, ABCDBDEECC, ABCDBDEECD, ABCDBDEECE, ABCDBDEECF, ABCDBDEEDA, ABCDBDEEDB, ABCDBDEEDC, ABCDBDEEDD, ABCDBDEEDE, ABCDBDEEDF, ABCDBDEEEA, ABCDBDEEEB, ABCDBDEEEC, ABCDBDEEED, ABCDBDEEEE, ABCDBDEEEF, ABCDBDEEFA, ABCDBDEEFB, ABCDBDEEFC, ABCDBDEEFD, ABCDBDEEFE, ABCDBDEEFF, ABCDBDEEFG, ABCDBDEFAA, ABCDBDEFAB, ABCDBDEFAC, ABCDBDEFAD, ABCDBDEFAE, ABCDBDEFAF, ABCDBDEFAG, ABCDBDEFBA, ABCDBDEFBB, ABCDBDEFBC, ABCDBDEFBD, ABCDBDEFBE, ABCDBDEFBF, ABCDBDEFBG, ABCDBDEFCA, ABCDBDEFCB, ABCDBDEFCC, ABCDBDEFCD, ABCDBDEFCE, ABCDBDEFCF, ABCDBDEFCG, ABCDBDEFDA, ABCDBDEFDB, ABCDBDEFDC, ABCDBDEFDD, ABCDBDEFDE, ABCDBDEFDF, ABCDBDEFDG, ABCDBDEFEA, ABCDBDEFEB, ABCDBDEFEC, ABCDBDEFED, ABCDBDEFEE, ABCDBDEFEF, ABCDBDEFEG, ABCDBDEFFA, ABCDBDEFFB, ABCDBDEFFC, ABCDBDEFFD, ABCDBDEFFE, ABCDBDEFFF, ABCDBDEFFG, ABCDBDEFGA, ABCDBDEFGB, ABCDBDEFGC, ABCDBDEFGD, ABCDBDEFGE, ABCDBDEFGF, ABCDBDEFGG, ABCDBDEFGH, ABCDBEAAAA, ABCDBEAAAB, ABCDBEAAAC, ABCDBEAAAD, ABCDBEAAAE, ABCDBEAAAF, ABCDBEAABA, ABCDBEAABB, ABCDBEAABC, ABCDBEAABD, ABCDBEAABE, ABCDBEAABF, ABCDBEAACA, ABCDBEAACB, ABCDBEAACC, ABCDBEAACD, ABCDBEAACE, ABCDBEAACF, ABCDBEAADA, ABCDBEAADB, ABCDBEAADC, ABCDBEAADD, ABCDBEAADE, ABCDBEAADF, ABCDBEAAEA, ABCDBEAAEB, ABCDBEAAEC, ABCDBEAAED, ABCDBEAAEE, ABCDBEAAEF, ABCDBEAAFA, ABCDBEAAFB, ABCDBEAAFC, ABCDBEAAFD, ABCDBEAAFE, ABCDBEAAFF, ABCDBEAAFG, ABCDBEABAA, ABCDBEABAB, ABCDBEABAC, ABCDBEABAD, ABCDBEABAE, ABCDBEABAF, ABCDBEABBA, ABCDBEABBB, ABCDBEABBC, ABCDBEABBD, ABCDBEABBE, ABCDBEABBF, ABCDBEABCA, ABCDBEABCB, ABCDBEABCC, ABCDBEABCD, ABCDBEABCE, ABCDBEABCF, ABCDBEABDA, ABCDBEABDB, ABCDBEABDC, ABCDBEABDD, ABCDBEABDE, ABCDBEABDF, ABCDBEABEA, ABCDBEABEB, ABCDBEABEC, ABCDBEABED, ABCDBEABEE, ABCDBEABEF, ABCDBEABFA, ABCDBEABFB, ABCDBEABFC, ABCDBEABFD, ABCDBEABFE, ABCDBEABFF, ABCDBEABFG, ABCDBEACAA, ABCDBEACAB, ABCDBEACAC, ABCDBEACAD, ABCDBEACAE, ABCDBEACAF, ABCDBEACBA, ABCDBEACBB, ABCDBEACBC, ABCDBEACBD, ABCDBEACBE, ABCDBEACBF, ABCDBEACCA, ABCDBEACCB, ABCDBEACCC, ABCDBEACCD, ABCDBEACCE, ABCDBEACCF, ABCDBEACDA, ABCDBEACDB, ABCDBEACDC, ABCDBEACDD, ABCDBEACDE, ABCDBEACDF, ABCDBEACEA, ABCDBEACEB, ABCDBEACEC, ABCDBEACED, ABCDBEACEE, ABCDBEACEF, ABCDBEACFA, ABCDBEACFB, ABCDBEACFC, ABCDBEACFD, ABCDBEACFE, ABCDBEACFF, ABCDBEACFG, ABCDBEADAA, ABCDBEADAB, ABCDBEADAC, ABCDBEADAD, ABCDBEADAE, ABCDBEADAF, ABCDBEADBA, ABCDBEADBB, ABCDBEADBC, ABCDBEADBD, ABCDBEADBE, ABCDBEADBF, ABCDBEADCA, ABCDBEADCB, ABCDBEADCC, ABCDBEADCD, ABCDBEADCE, ABCDBEADCF, ABCDBEADDA, ABCDBEADDB, ABCDBEADDC, ABCDBEADDD, ABCDBEADDE, ABCDBEADDF, ABCDBEADEA, ABCDBEADEB, ABCDBEADEC, ABCDBEADED, ABCDBEADEE, ABCDBEADEF, ABCDBEADFA, ABCDBEADFB, ABCDBEADFC, ABCDBEADFD, ABCDBEADFE, ABCDBEADFF, ABCDBEADFG, ABCDBEAEAA, ABCDBEAEAB, ABCDBEAEAC, ABCDBEAEAD, ABCDBEAEAE, ABCDBEAEAF, ABCDBEAEBA, ABCDBEAEBB, ABCDBEAEBC, ABCDBEAEBD, ABCDBEAEBE, ABCDBEAEBF, ABCDBEAECA, ABCDBEAECB, ABCDBEAECC, ABCDBEAECD, ABCDBEAECE, ABCDBEAECF, ABCDBEAEDA, ABCDBEAEDB, ABCDBEAEDC, ABCDBEAEDD, ABCDBEAEDE, ABCDBEAEDF, ABCDBEAEEA, ABCDBEAEEB, ABCDBEAEEC, ABCDBEAEED, ABCDBEAEEE, ABCDBEAEEF, ABCDBEAEFA, ABCDBEAEFB, ABCDBEAEFC, ABCDBEAEFD, ABCDBEAEFE, ABCDBEAEFF, ABCDBEAEFG, ABCDBEAFAA, ABCDBEAFAB, ABCDBEAFAC, ABCDBEAFAD, ABCDBEAFAE, ABCDBEAFAF, ABCDBEAFAG, ABCDBEAFBA, ABCDBEAFBB, ABCDBEAFBC, ABCDBEAFBD, ABCDBEAFBE, ABCDBEAFBF, ABCDBEAFBG, ABCDBEAFCA, ABCDBEAFCB, ABCDBEAFCC, ABCDBEAFCD, ABCDBEAFCE, ABCDBEAFCF, ABCDBEAFCG, ABCDBEAFDA, ABCDBEAFDB, ABCDBEAFDC, ABCDBEAFDD, ABCDBEAFDE, ABCDBEAFDF, ABCDBEAFDG, ABCDBEAFEA, ABCDBEAFEB, ABCDBEAFEC, ABCDBEAFED, ABCDBEAFEE, ABCDBEAFEF, ABCDBEAFEG, ABCDBEAFFA, ABCDBEAFFB, ABCDBEAFFC, ABCDBEAFFD, ABCDBEAFFE, ABCDBEAFFF, ABCDBEAFFG, ABCDBEAFGA, ABCDBEAFGB, ABCDBEAFGC, ABCDBEAFGD, ABCDBEAFGE, ABCDBEAFGF, ABCDBEAFGG, ABCDBEAFGH, ABCDBEBAAA, ABCDBEBAAB, ABCDBEBAAC, ABCDBEBAAD, ABCDBEBAAE, ABCDBEBAAF, ABCDBEBABA, ABCDBEBABB, ABCDBEBABC, ABCDBEBABD, ABCDBEBABE, ABCDBEBABF, ABCDBEBACA, ABCDBEBACB, ABCDBEBACC, ABCDBEBACD, ABCDBEBACE, ABCDBEBACF, ABCDBEBADA, ABCDBEBADB, ABCDBEBADC, ABCDBEBADD, ABCDBEBADE, ABCDBEBADF, ABCDBEBAEA, ABCDBEBAEB, ABCDBEBAEC, ABCDBEBAED, ABCDBEBAEE, ABCDBEBAEF, ABCDBEBAFA, ABCDBEBAFB, ABCDBEBAFC, ABCDBEBAFD, ABCDBEBAFE, ABCDBEBAFF, ABCDBEBAFG, ABCDBEBBAA, ABCDBEBBAB, ABCDBEBBAC, ABCDBEBBAD, ABCDBEBBAE, ABCDBEBBAF, ABCDBEBBBA, ABCDBEBBBB, ABCDBEBBBC, ABCDBEBBBD, ABCDBEBBBE, ABCDBEBBBF, ABCDBEBBCA, ABCDBEBBCB, ABCDBEBBCC, ABCDBEBBCD, ABCDBEBBCE, ABCDBEBBCF, ABCDBEBBDA, ABCDBEBBDB, ABCDBEBBDC, ABCDBEBBDD, ABCDBEBBDE, ABCDBEBBDF, ABCDBEBBEA, ABCDBEBBEB, ABCDBEBBEC, ABCDBEBBED, ABCDBEBBEE, ABCDBEBBEF, ABCDBEBBFA, ABCDBEBBFB, ABCDBEBBFC, ABCDBEBBFD, ABCDBEBBFE, ABCDBEBBFF, ABCDBEBBFG, ABCDBEBCAA, ABCDBEBCAB, ABCDBEBCAC, ABCDBEBCAD, ABCDBEBCAE, ABCDBEBCAF, ABCDBEBCBA, ABCDBEBCBB, ABCDBEBCBC, ABCDBEBCBD, ABCDBEBCBE, ABCDBEBCBF, ABCDBEBCCA, ABCDBEBCCB, ABCDBEBCCC, ABCDBEBCCD, ABCDBEBCCE, ABCDBEBCCF, ABCDBEBCDA, ABCDBEBCDB, ABCDBEBCDC, ABCDBEBCDD, ABCDBEBCDE, ABCDBEBCDF, ABCDBEBCEA, ABCDBEBCEB, ABCDBEBCEC, ABCDBEBCED, ABCDBEBCEE, ABCDBEBCEF, ABCDBEBCFA, ABCDBEBCFB, ABCDBEBCFC, ABCDBEBCFD, ABCDBEBCFE, ABCDBEBCFF, ABCDBEBCFG, ABCDBEBDAA, ABCDBEBDAB, ABCDBEBDAC, ABCDBEBDAD, ABCDBEBDAE, ABCDBEBDAF, ABCDBEBDBA, ABCDBEBDBB, ABCDBEBDBC, ABCDBEBDBD, ABCDBEBDBE, ABCDBEBDBF, ABCDBEBDCA, ABCDBEBDCB, ABCDBEBDCC, ABCDBEBDCD, ABCDBEBDCE, ABCDBEBDCF, ABCDBEBDDA, ABCDBEBDDB, ABCDBEBDDC, ABCDBEBDDD, ABCDBEBDDE, ABCDBEBDDF, ABCDBEBDEA, ABCDBEBDEB, ABCDBEBDEC, ABCDBEBDED, ABCDBEBDEE, ABCDBEBDEF, ABCDBEBDFA, ABCDBEBDFB, ABCDBEBDFC, ABCDBEBDFD, ABCDBEBDFE, ABCDBEBDFF, ABCDBEBDFG, ABCDBEBEAA, ABCDBEBEAB, ABCDBEBEAC, ABCDBEBEAD, ABCDBEBEAE, ABCDBEBEAF, ABCDBEBEBA, ABCDBEBEBB, ABCDBEBEBC, ABCDBEBEBD, ABCDBEBEBE, ABCDBEBEBF, ABCDBEBECA, ABCDBEBECB, ABCDBEBECC, ABCDBEBECD, ABCDBEBECE, ABCDBEBECF, ABCDBEBEDA, ABCDBEBEDB, ABCDBEBEDC, ABCDBEBEDD, ABCDBEBEDE, ABCDBEBEDF, ABCDBEBEEA, ABCDBEBEEB, ABCDBEBEEC, ABCDBEBEED, ABCDBEBEEE, ABCDBEBEEF, ABCDBEBEFA, ABCDBEBEFB, ABCDBEBEFC, ABCDBEBEFD, ABCDBEBEFE, ABCDBEBEFF, ABCDBEBEFG, ABCDBEBFAA, ABCDBEBFAB, ABCDBEBFAC, ABCDBEBFAD, ABCDBEBFAE, ABCDBEBFAF, ABCDBEBFAG, ABCDBEBFBA, ABCDBEBFBB, ABCDBEBFBC, ABCDBEBFBD, ABCDBEBFBE, ABCDBEBFBF, ABCDBEBFBG, ABCDBEBFCA, ABCDBEBFCB, ABCDBEBFCC, ABCDBEBFCD, ABCDBEBFCE, ABCDBEBFCF, ABCDBEBFCG, ABCDBEBFDA, ABCDBEBFDB, ABCDBEBFDC, ABCDBEBFDD, ABCDBEBFDE, ABCDBEBFDF, ABCDBEBFDG, ABCDBEBFEA, ABCDBEBFEB, ABCDBEBFEC, ABCDBEBFED, ABCDBEBFEE, ABCDBEBFEF, ABCDBEBFEG, ABCDBEBFFA, ABCDBEBFFB, ABCDBEBFFC, ABCDBEBFFD, ABCDBEBFFE, ABCDBEBFFF, ABCDBEBFFG, ABCDBEBFGA, ABCDBEBFGB, ABCDBEBFGC, ABCDBEBFGD, ABCDBEBFGE, ABCDBEBFGF, ABCDBEBFGG, ABCDBEBFGH, ABCDBECAAA, ABCDBECAAB, ABCDBECAAC, ABCDBECAAD, ABCDBECAAE, ABCDBECAAF, ABCDBECABA, ABCDBECABB, ABCDBECABC, ABCDBECABD, ABCDBECABE, ABCDBECABF, ABCDBECACA, ABCDBECACB, ABCDBECACC, ABCDBECACD, ABCDBECACE, ABCDBECACF, ABCDBECADA, ABCDBECADB, ABCDBECADC, ABCDBECADD, ABCDBECADE, ABCDBECADF, ABCDBECAEA, ABCDBECAEB, ABCDBECAEC, ABCDBECAED, ABCDBECAEE, ABCDBECAEF, ABCDBECAFA, ABCDBECAFB, ABCDBECAFC, ABCDBECAFD, ABCDBECAFE, ABCDBECAFF, ABCDBECAFG, ABCDBECBAA, ABCDBECBAB, ABCDBECBAC, ABCDBECBAD, ABCDBECBAE, ABCDBECBAF, ABCDBECBBA, ABCDBECBBB, ABCDBECBBC, ABCDBECBBD, ABCDBECBBE, ABCDBECBBF, ABCDBECBCA, ABCDBECBCB, ABCDBECBCC, ABCDBECBCD, ABCDBECBCE, ABCDBECBCF, ABCDBECBDA, ABCDBECBDB, ABCDBECBDC, ABCDBECBDD, ABCDBECBDE, ABCDBECBDF, ABCDBECBEA, ABCDBECBEB, ABCDBECBEC, ABCDBECBED, ABCDBECBEE, ABCDBECBEF, ABCDBECBFA, ABCDBECBFB, ABCDBECBFC, ABCDBECBFD, ABCDBECBFE, ABCDBECBFF, ABCDBECBFG, ABCDBECCAA, ABCDBECCAB, ABCDBECCAC, ABCDBECCAD, ABCDBECCAE, ABCDBECCAF, ABCDBECCBA, ABCDBECCBB, ABCDBECCBC, ABCDBECCBD, ABCDBECCBE, ABCDBECCBF, ABCDBECCCA, ABCDBECCCB, ABCDBECCCC, ABCDBECCCD, ABCDBECCCE, ABCDBECCCF, ABCDBECCDA, ABCDBECCDB, ABCDBECCDC, ABCDBECCDD, ABCDBECCDE, ABCDBECCDF, ABCDBECCEA, ABCDBECCEB, ABCDBECCEC, ABCDBECCED, ABCDBECCEE, ABCDBECCEF, ABCDBECCFA, ABCDBECCFB, ABCDBECCFC, ABCDBECCFD, ABCDBECCFE, ABCDBECCFF, ABCDBECCFG, ABCDBECDAA, ABCDBECDAB, ABCDBECDAC, ABCDBECDAD, ABCDBECDAE, ABCDBECDAF, ABCDBECDBA, ABCDBECDBB, ABCDBECDBC, ABCDBECDBD, ABCDBECDBE, ABCDBECDBF, ABCDBECDCA, ABCDBECDCB, ABCDBECDCC, ABCDBECDCD, ABCDBECDCE, ABCDBECDCF, ABCDBECDDA, ABCDBECDDB, ABCDBECDDC, ABCDBECDDD, ABCDBECDDE, ABCDBECDDF, ABCDBECDEA, ABCDBECDEB, ABCDBECDEC, ABCDBECDED, ABCDBECDEE, ABCDBECDEF, ABCDBECDFA, ABCDBECDFB, ABCDBECDFC, ABCDBECDFD, ABCDBECDFE, ABCDBECDFF, ABCDBECDFG, ABCDBECEAA, ABCDBECEAB, ABCDBECEAC, ABCDBECEAD, ABCDBECEAE, ABCDBECEAF, ABCDBECEBA, ABCDBECEBB, ABCDBECEBC, ABCDBECEBD, ABCDBECEBE, ABCDBECEBF, ABCDBECECA, ABCDBECECB, ABCDBECECC, ABCDBECECD, ABCDBECECE, ABCDBECECF, ABCDBECEDA, ABCDBECEDB, ABCDBECEDC, ABCDBECEDD, ABCDBECEDE, ABCDBECEDF, ABCDBECEEA, ABCDBECEEB, ABCDBECEEC, ABCDBECEED, ABCDBECEEE, ABCDBECEEF, ABCDBECEFA, ABCDBECEFB, ABCDBECEFC, ABCDBECEFD, ABCDBECEFE, ABCDBECEFF, ABCDBECEFG, ABCDBECFAA, ABCDBECFAB, ABCDBECFAC, ABCDBECFAD, ABCDBECFAE, ABCDBECFAF, ABCDBECFAG, ABCDBECFBA, ABCDBECFBB, ABCDBECFBC, ABCDBECFBD, ABCDBECFBE, ABCDBECFBF, ABCDBECFBG, ABCDBECFCA, ABCDBECFCB, ABCDBECFCC, ABCDBECFCD, ABCDBECFCE, ABCDBECFCF, ABCDBECFCG, ABCDBECFDA, ABCDBECFDB, ABCDBECFDC, ABCDBECFDD, ABCDBECFDE, ABCDBECFDF, ABCDBECFDG, ABCDBECFEA, ABCDBECFEB, ABCDBECFEC, ABCDBECFED, ABCDBECFEE, ABCDBECFEF, ABCDBECFEG, ABCDBECFFA, ABCDBECFFB, ABCDBECFFC, ABCDBECFFD, ABCDBECFFE, ABCDBECFFF, ABCDBECFFG, ABCDBECFGA, ABCDBECFGB, ABCDBECFGC, ABCDBECFGD, ABCDBECFGE, ABCDBECFGF, ABCDBECFGG, ABCDBECFGH, ABCDBEDAAA, ABCDBEDAAB, ABCDBEDAAC, ABCDBEDAAD, ABCDBEDAAE, ABCDBEDAAF, ABCDBEDABA, ABCDBEDABB, ABCDBEDABC, ABCDBEDABD, ABCDBEDABE, ABCDBEDABF, ABCDBEDACA, ABCDBEDACB, ABCDBEDACC, ABCDBEDACD, ABCDBEDACE, ABCDBEDACF, ABCDBEDADA, ABCDBEDADB, ABCDBEDADC, ABCDBEDADD, ABCDBEDADE, ABCDBEDADF, ABCDBEDAEA, ABCDBEDAEB, ABCDBEDAEC, ABCDBEDAED, ABCDBEDAEE, ABCDBEDAEF, ABCDBEDAFA, ABCDBEDAFB, ABCDBEDAFC, ABCDBEDAFD, ABCDBEDAFE, ABCDBEDAFF, ABCDBEDAFG, ABCDBEDBAA, ABCDBEDBAB, ABCDBEDBAC, ABCDBEDBAD, ABCDBEDBAE, ABCDBEDBAF, ABCDBEDBBA, ABCDBEDBBB, ABCDBEDBBC, ABCDBEDBBD, ABCDBEDBBE, ABCDBEDBBF, ABCDBEDBCA, ABCDBEDBCB, ABCDBEDBCC, ABCDBEDBCD, ABCDBEDBCE, ABCDBEDBCF, ABCDBEDBDA, ABCDBEDBDB, ABCDBEDBDC, ABCDBEDBDD, ABCDBEDBDE, ABCDBEDBDF, ABCDBEDBEA, ABCDBEDBEB, ABCDBEDBEC, ABCDBEDBED, ABCDBEDBEE, ABCDBEDBEF, ABCDBEDBFA, ABCDBEDBFB, ABCDBEDBFC, ABCDBEDBFD, ABCDBEDBFE, ABCDBEDBFF, ABCDBEDBFG, ABCDBEDCAA, ABCDBEDCAB, ABCDBEDCAC, ABCDBEDCAD, ABCDBEDCAE, ABCDBEDCAF, ABCDBEDCBA, ABCDBEDCBB, ABCDBEDCBC, ABCDBEDCBD, ABCDBEDCBE, ABCDBEDCBF, ABCDBEDCCA, ABCDBEDCCB, ABCDBEDCCC, ABCDBEDCCD, ABCDBEDCCE, ABCDBEDCCF, ABCDBEDCDA, ABCDBEDCDB, ABCDBEDCDC, ABCDBEDCDD, ABCDBEDCDE, ABCDBEDCDF, ABCDBEDCEA, ABCDBEDCEB, ABCDBEDCEC, ABCDBEDCED, ABCDBEDCEE, ABCDBEDCEF, ABCDBEDCFA, ABCDBEDCFB, ABCDBEDCFC, ABCDBEDCFD, ABCDBEDCFE, ABCDBEDCFF, ABCDBEDCFG, ABCDBEDDAA, ABCDBEDDAB, ABCDBEDDAC, ABCDBEDDAD, ABCDBEDDAE, ABCDBEDDAF, ABCDBEDDBA, ABCDBEDDBB, ABCDBEDDBC, ABCDBEDDBD, ABCDBEDDBE, ABCDBEDDBF, ABCDBEDDCA, ABCDBEDDCB, ABCDBEDDCC, ABCDBEDDCD, ABCDBEDDCE, ABCDBEDDCF, ABCDBEDDDA, ABCDBEDDDB, ABCDBEDDDC, ABCDBEDDDD, ABCDBEDDDE, ABCDBEDDDF, ABCDBEDDEA, ABCDBEDDEB, ABCDBEDDEC, ABCDBEDDED, ABCDBEDDEE, ABCDBEDDEF, ABCDBEDDFA, ABCDBEDDFB, ABCDBEDDFC, ABCDBEDDFD, ABCDBEDDFE, ABCDBEDDFF, ABCDBEDDFG, ABCDBEDEAA, ABCDBEDEAB, ABCDBEDEAC, ABCDBEDEAD, ABCDBEDEAE, ABCDBEDEAF, ABCDBEDEBA, ABCDBEDEBB, ABCDBEDEBC, ABCDBEDEBD, ABCDBEDEBE, ABCDBEDEBF, ABCDBEDECA, ABCDBEDECB, ABCDBEDECC, ABCDBEDECD, ABCDBEDECE, ABCDBEDECF, ABCDBEDEDA, ABCDBEDEDB, ABCDBEDEDC, ABCDBEDEDD, ABCDBEDEDE, ABCDBEDEDF, ABCDBEDEEA, ABCDBEDEEB, ABCDBEDEEC, ABCDBEDEED, ABCDBEDEEE, ABCDBEDEEF, ABCDBEDEFA, ABCDBEDEFB, ABCDBEDEFC, ABCDBEDEFD, ABCDBEDEFE, ABCDBEDEFF, ABCDBEDEFG, ABCDBEDFAA, ABCDBEDFAB, ABCDBEDFAC, ABCDBEDFAD, ABCDBEDFAE, ABCDBEDFAF, ABCDBEDFAG, ABCDBEDFBA, ABCDBEDFBB, ABCDBEDFBC, ABCDBEDFBD, ABCDBEDFBE, ABCDBEDFBF, ABCDBEDFBG, ABCDBEDFCA, ABCDBEDFCB, ABCDBEDFCC, ABCDBEDFCD, ABCDBEDFCE, ABCDBEDFCF, ABCDBEDFCG, ABCDBEDFDA, ABCDBEDFDB, ABCDBEDFDC, 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ABCDCADEBD, ABCDCADEBE, ABCDCADEBF, ABCDCADECA, ABCDCADECB, ABCDCADECC, ABCDCADECD, ABCDCADECE, ABCDCADECF, ABCDCADEDA, ABCDCADEDB, ABCDCADEDC, ABCDCADEDD, ABCDCADEDE, ABCDCADEDF, ABCDCADEEA, ABCDCADEEB, ABCDCADEEC, ABCDCADEED, ABCDCADEEE, ABCDCADEEF, ABCDCADEFA, ABCDCADEFB, ABCDCADEFC, ABCDCADEFD, ABCDCADEFE, ABCDCADEFF, ABCDCADEFG, ABCDCAEAAA, ABCDCAEAAB, ABCDCAEAAC, ABCDCAEAAD, ABCDCAEAAE, ABCDCAEAAF, ABCDCAEABA, ABCDCAEABB, ABCDCAEABC, ABCDCAEABD, ABCDCAEABE, ABCDCAEABF, ABCDCAEACA, ABCDCAEACB, ABCDCAEACC, ABCDCAEACD, ABCDCAEACE, ABCDCAEACF, ABCDCAEADA, ABCDCAEADB, ABCDCAEADC, ABCDCAEADD, ABCDCAEADE, ABCDCAEADF, ABCDCAEAEA, ABCDCAEAEB, ABCDCAEAEC, ABCDCAEAED, ABCDCAEAEE, ABCDCAEAEF, ABCDCAEAFA, ABCDCAEAFB, ABCDCAEAFC, ABCDCAEAFD, ABCDCAEAFE, ABCDCAEAFF, ABCDCAEAFG, ABCDCAEBAA, ABCDCAEBAB, ABCDCAEBAC, ABCDCAEBAD, ABCDCAEBAE, ABCDCAEBAF, ABCDCAEBBA, ABCDCAEBBB, ABCDCAEBBC, ABCDCAEBBD, ABCDCAEBBE, ABCDCAEBBF, ABCDCAEBCA, ABCDCAEBCB, ABCDCAEBCC, ABCDCAEBCD, ABCDCAEBCE, ABCDCAEBCF, 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ABCDCAEDED, ABCDCAEDEE, ABCDCAEDEF, ABCDCAEDFA, ABCDCAEDFB, ABCDCAEDFC, ABCDCAEDFD, ABCDCAEDFE, ABCDCAEDFF, ABCDCAEDFG, ABCDCAEEAA, ABCDCAEEAB, ABCDCAEEAC, ABCDCAEEAD, ABCDCAEEAE, ABCDCAEEAF, ABCDCAEEBA, ABCDCAEEBB, ABCDCAEEBC, ABCDCAEEBD, ABCDCAEEBE, ABCDCAEEBF, ABCDCAEECA, ABCDCAEECB, ABCDCAEECC, ABCDCAEECD, ABCDCAEECE, ABCDCAEECF, ABCDCAEEDA, ABCDCAEEDB, ABCDCAEEDC, ABCDCAEEDD, ABCDCAEEDE, ABCDCAEEDF, ABCDCAEEEA, ABCDCAEEEB, ABCDCAEEEC, ABCDCAEEED, ABCDCAEEEE, ABCDCAEEEF, ABCDCAEEFA, ABCDCAEEFB, ABCDCAEEFC, ABCDCAEEFD, ABCDCAEEFE, ABCDCAEEFF, ABCDCAEEFG, ABCDCAEFAA, ABCDCAEFAB, ABCDCAEFAC, ABCDCAEFAD, ABCDCAEFAE, ABCDCAEFAF, ABCDCAEFAG, ABCDCAEFBA, ABCDCAEFBB, ABCDCAEFBC, ABCDCAEFBD, ABCDCAEFBE, ABCDCAEFBF, ABCDCAEFBG, ABCDCAEFCA, ABCDCAEFCB, ABCDCAEFCC, ABCDCAEFCD, ABCDCAEFCE, ABCDCAEFCF, ABCDCAEFCG, ABCDCAEFDA, ABCDCAEFDB, ABCDCAEFDC, ABCDCAEFDD, ABCDCAEFDE, ABCDCAEFDF, ABCDCAEFDG, ABCDCAEFEA, ABCDCAEFEB, ABCDCAEFEC, ABCDCAEFED, ABCDCAEFEE, ABCDCAEFEF, ABCDCAEFEG, ABCDCAEFFA, ABCDCAEFFB, ABCDCAEFFC, ABCDCAEFFD, ABCDCAEFFE, ABCDCAEFFF, ABCDCAEFFG, ABCDCAEFGA, ABCDCAEFGB, ABCDCAEFGC, ABCDCAEFGD, ABCDCAEFGE, ABCDCAEFGF, ABCDCAEFGG, ABCDCAEFGH, ABCDCBAAAA, ABCDCBAAAB, ABCDCBAAAC, ABCDCBAAAD, ABCDCBAAAE, ABCDCBAABA, ABCDCBAABB, ABCDCBAABC, ABCDCBAABD, ABCDCBAABE, ABCDCBAACA, ABCDCBAACB, ABCDCBAACC, ABCDCBAACD, ABCDCBAACE, ABCDCBAADA, ABCDCBAADB, ABCDCBAADC, ABCDCBAADD, ABCDCBAADE, ABCDCBAAEA, ABCDCBAAEB, ABCDCBAAEC, ABCDCBAAED, ABCDCBAAEE, ABCDCBAAEF, ABCDCBABAA, ABCDCBABAB, ABCDCBABAC, ABCDCBABAD, ABCDCBABAE, ABCDCBABBA, ABCDCBABBB, ABCDCBABBC, ABCDCBABBD, ABCDCBABBE, ABCDCBABCA, ABCDCBABCB, ABCDCBABCC, ABCDCBABCD, ABCDCBABCE, ABCDCBABDA, ABCDCBABDB, ABCDCBABDC, ABCDCBABDD, ABCDCBABDE, ABCDCBABEA, ABCDCBABEB, ABCDCBABEC, ABCDCBABED, ABCDCBABEE, ABCDCBABEF, ABCDCBACAA, ABCDCBACAB, ABCDCBACAC, ABCDCBACAD, ABCDCBACAE, ABCDCBACBA, ABCDCBACBB, ABCDCBACBC, ABCDCBACBD, ABCDCBACBE, ABCDCBACCA, ABCDCBACCB, ABCDCBACCC, ABCDCBACCD, ABCDCBACCE, ABCDCBACDA, ABCDCBACDB, 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ABCDCBBDDB, ABCDCBBDDC, ABCDCBBDDD, ABCDCBBDDE, ABCDCBBDEA, ABCDCBBDEB, ABCDCBBDEC, ABCDCBBDED, ABCDCBBDEE, ABCDCBBDEF, ABCDCBBEAA, ABCDCBBEAB, ABCDCBBEAC, ABCDCBBEAD, ABCDCBBEAE, ABCDCBBEAF, ABCDCBBEBA, ABCDCBBEBB, ABCDCBBEBC, ABCDCBBEBD, ABCDCBBEBE, ABCDCBBEBF, ABCDCBBECA, ABCDCBBECB, ABCDCBBECC, ABCDCBBECD, ABCDCBBECE, ABCDCBBECF, ABCDCBBEDA, ABCDCBBEDB, ABCDCBBEDC, ABCDCBBEDD, ABCDCBBEDE, ABCDCBBEDF, ABCDCBBEEA, ABCDCBBEEB, ABCDCBBEEC, ABCDCBBEED, ABCDCBBEEE, ABCDCBBEEF, ABCDCBBEFA, ABCDCBBEFB, ABCDCBBEFC, ABCDCBBEFD, ABCDCBBEFE, ABCDCBBEFF, ABCDCBBEFG, ABCDCBCAAA, ABCDCBCAAB, ABCDCBCAAC, ABCDCBCAAD, ABCDCBCAAE, ABCDCBCABA, ABCDCBCABB, ABCDCBCABC, ABCDCBCABD, ABCDCBCABE, ABCDCBCACA, ABCDCBCACB, ABCDCBCACC, ABCDCBCACD, ABCDCBCACE, ABCDCBCADA, ABCDCBCADB, ABCDCBCADC, ABCDCBCADD, ABCDCBCADE, ABCDCBCAEA, ABCDCBCAEB, ABCDCBCAEC, ABCDCBCAED, ABCDCBCAEE, ABCDCBCAEF, ABCDCBCBAA, ABCDCBCBAB, ABCDCBCBAC, ABCDCBCBAD, ABCDCBCBAE, ABCDCBCBBA, ABCDCBCBBB, ABCDCBCBBC, ABCDCBCBBD, ABCDCBCBBE, ABCDCBCBCA, ABCDCBCBCB, ABCDCBCBCC, ABCDCBCBCD, ABCDCBCBCE, ABCDCBCBDA, ABCDCBCBDB, ABCDCBCBDC, ABCDCBCBDD, ABCDCBCBDE, ABCDCBCBEA, ABCDCBCBEB, ABCDCBCBEC, ABCDCBCBED, ABCDCBCBEE, ABCDCBCBEF, ABCDCBCCAA, ABCDCBCCAB, ABCDCBCCAC, ABCDCBCCAD, ABCDCBCCAE, ABCDCBCCBA, ABCDCBCCBB, ABCDCBCCBC, ABCDCBCCBD, ABCDCBCCBE, ABCDCBCCCA, ABCDCBCCCB, ABCDCBCCCC, ABCDCBCCCD, ABCDCBCCCE, ABCDCBCCDA, ABCDCBCCDB, ABCDCBCCDC, ABCDCBCCDD, ABCDCBCCDE, ABCDCBCCEA, ABCDCBCCEB, ABCDCBCCEC, ABCDCBCCED, ABCDCBCCEE, ABCDCBCCEF, ABCDCBCDAA, ABCDCBCDAB, ABCDCBCDAC, ABCDCBCDAD, ABCDCBCDAE, ABCDCBCDBA, ABCDCBCDBB, ABCDCBCDBC, ABCDCBCDBD, ABCDCBCDBE, ABCDCBCDCA, ABCDCBCDCB, ABCDCBCDCC, ABCDCBCDCD, ABCDCBCDCE, ABCDCBCDDA, ABCDCBCDDB, ABCDCBCDDC, ABCDCBCDDD, ABCDCBCDDE, ABCDCBCDEA, ABCDCBCDEB, ABCDCBCDEC, ABCDCBCDED, ABCDCBCDEE, ABCDCBCDEF, ABCDCBCEAA, ABCDCBCEAB, ABCDCBCEAC, ABCDCBCEAD, ABCDCBCEAE, ABCDCBCEAF, ABCDCBCEBA, ABCDCBCEBB, ABCDCBCEBC, ABCDCBCEBD, ABCDCBCEBE, ABCDCBCEBF, ABCDCBCECA, ABCDCBCECB, ABCDCBCECC, ABCDCBCECD, ABCDCBCECE, ABCDCBCECF, ABCDCBCEDA, ABCDCBCEDB, ABCDCBCEDC, ABCDCBCEDD, ABCDCBCEDE, ABCDCBCEDF, ABCDCBCEEA, ABCDCBCEEB, ABCDCBCEEC, ABCDCBCEED, ABCDCBCEEE, ABCDCBCEEF, ABCDCBCEFA, ABCDCBCEFB, ABCDCBCEFC, ABCDCBCEFD, ABCDCBCEFE, ABCDCBCEFF, ABCDCBCEFG, ABCDCBDAAA, ABCDCBDAAB, ABCDCBDAAC, ABCDCBDAAD, ABCDCBDAAE, ABCDCBDABA, ABCDCBDABB, ABCDCBDABC, ABCDCBDABD, ABCDCBDABE, ABCDCBDACA, ABCDCBDACB, ABCDCBDACC, ABCDCBDACD, ABCDCBDACE, ABCDCBDADA, ABCDCBDADB, ABCDCBDADC, ABCDCBDADD, ABCDCBDADE, ABCDCBDAEA, ABCDCBDAEB, ABCDCBDAEC, ABCDCBDAED, ABCDCBDAEE, ABCDCBDAEF, ABCDCBDBAA, ABCDCBDBAB, ABCDCBDBAC, ABCDCBDBAD, ABCDCBDBAE, ABCDCBDBBA, ABCDCBDBBB, ABCDCBDBBC, ABCDCBDBBD, ABCDCBDBBE, ABCDCBDBCA, ABCDCBDBCB, ABCDCBDBCC, ABCDCBDBCD, ABCDCBDBCE, ABCDCBDBDA, ABCDCBDBDB, ABCDCBDBDC, ABCDCBDBDD, ABCDCBDBDE, ABCDCBDBEA, ABCDCBDBEB, ABCDCBDBEC, ABCDCBDBED, ABCDCBDBEE, ABCDCBDBEF, ABCDCBDCAA, ABCDCBDCAB, ABCDCBDCAC, ABCDCBDCAD, ABCDCBDCAE, ABCDCBDCBA, ABCDCBDCBB, ABCDCBDCBC, ABCDCBDCBD, ABCDCBDCBE, ABCDCBDCCA, ABCDCBDCCB, ABCDCBDCCC, ABCDCBDCCD, ABCDCBDCCE, ABCDCBDCDA, ABCDCBDCDB, ABCDCBDCDC, ABCDCBDCDD, ABCDCBDCDE, ABCDCBDCEA, ABCDCBDCEB, ABCDCBDCEC, ABCDCBDCED, ABCDCBDCEE, ABCDCBDCEF, ABCDCBDDAA, ABCDCBDDAB, ABCDCBDDAC, ABCDCBDDAD, ABCDCBDDAE, ABCDCBDDBA, ABCDCBDDBB, ABCDCBDDBC, ABCDCBDDBD, ABCDCBDDBE, ABCDCBDDCA, ABCDCBDDCB, ABCDCBDDCC, ABCDCBDDCD, ABCDCBDDCE, ABCDCBDDDA, ABCDCBDDDB, ABCDCBDDDC, ABCDCBDDDD, ABCDCBDDDE, ABCDCBDDEA, ABCDCBDDEB, ABCDCBDDEC, ABCDCBDDED, ABCDCBDDEE, ABCDCBDDEF, ABCDCBDEAA, ABCDCBDEAB, ABCDCBDEAC, ABCDCBDEAD, ABCDCBDEAE, ABCDCBDEAF, ABCDCBDEBA, ABCDCBDEBB, ABCDCBDEBC, ABCDCBDEBD, ABCDCBDEBE, ABCDCBDEBF, ABCDCBDECA, ABCDCBDECB, ABCDCBDECC, ABCDCBDECD, ABCDCBDECE, ABCDCBDECF, ABCDCBDEDA, ABCDCBDEDB, ABCDCBDEDC, ABCDCBDEDD, ABCDCBDEDE, ABCDCBDEDF, ABCDCBDEEA, ABCDCBDEEB, ABCDCBDEEC, ABCDCBDEED, ABCDCBDEEE, ABCDCBDEEF, ABCDCBDEFA, ABCDCBDEFB, ABCDCBDEFC, ABCDCBDEFD, ABCDCBDEFE, ABCDCBDEFF, ABCDCBDEFG, ABCDCBEAAA, ABCDCBEAAB, ABCDCBEAAC, 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ABCDCBECCA, ABCDCBECCB, ABCDCBECCC, ABCDCBECCD, ABCDCBECCE, ABCDCBECCF, ABCDCBECDA, ABCDCBECDB, ABCDCBECDC, ABCDCBECDD, ABCDCBECDE, ABCDCBECDF, ABCDCBECEA, ABCDCBECEB, ABCDCBECEC, ABCDCBECED, ABCDCBECEE, ABCDCBECEF, ABCDCBECFA, ABCDCBECFB, ABCDCBECFC, ABCDCBECFD, ABCDCBECFE, ABCDCBECFF, ABCDCBECFG, ABCDCBEDAA, ABCDCBEDAB, ABCDCBEDAC, ABCDCBEDAD, ABCDCBEDAE, ABCDCBEDAF, ABCDCBEDBA, ABCDCBEDBB, ABCDCBEDBC, ABCDCBEDBD, ABCDCBEDBE, ABCDCBEDBF, ABCDCBEDCA, ABCDCBEDCB, ABCDCBEDCC, ABCDCBEDCD, ABCDCBEDCE, ABCDCBEDCF, ABCDCBEDDA, ABCDCBEDDB, ABCDCBEDDC, ABCDCBEDDD, ABCDCBEDDE, ABCDCBEDDF, ABCDCBEDEA, ABCDCBEDEB, ABCDCBEDEC, ABCDCBEDED, ABCDCBEDEE, ABCDCBEDEF, ABCDCBEDFA, ABCDCBEDFB, ABCDCBEDFC, ABCDCBEDFD, ABCDCBEDFE, ABCDCBEDFF, ABCDCBEDFG, ABCDCBEEAA, ABCDCBEEAB, ABCDCBEEAC, ABCDCBEEAD, ABCDCBEEAE, ABCDCBEEAF, ABCDCBEEBA, ABCDCBEEBB, ABCDCBEEBC, ABCDCBEEBD, ABCDCBEEBE, ABCDCBEEBF, ABCDCBEECA, ABCDCBEECB, ABCDCBEECC, ABCDCBEECD, ABCDCBEECE, ABCDCBEECF, ABCDCBEEDA, ABCDCBEEDB, ABCDCBEEDC, ABCDCBEEDD, ABCDCBEEDE, ABCDCBEEDF, ABCDCBEEEA, ABCDCBEEEB, ABCDCBEEEC, ABCDCBEEED, ABCDCBEEEE, ABCDCBEEEF, ABCDCBEEFA, ABCDCBEEFB, ABCDCBEEFC, ABCDCBEEFD, ABCDCBEEFE, ABCDCBEEFF, ABCDCBEEFG, ABCDCBEFAA, ABCDCBEFAB, ABCDCBEFAC, ABCDCBEFAD, ABCDCBEFAE, ABCDCBEFAF, ABCDCBEFAG, ABCDCBEFBA, ABCDCBEFBB, ABCDCBEFBC, ABCDCBEFBD, ABCDCBEFBE, ABCDCBEFBF, ABCDCBEFBG, ABCDCBEFCA, ABCDCBEFCB, ABCDCBEFCC, ABCDCBEFCD, ABCDCBEFCE, ABCDCBEFCF, ABCDCBEFCG, ABCDCBEFDA, ABCDCBEFDB, ABCDCBEFDC, ABCDCBEFDD, ABCDCBEFDE, ABCDCBEFDF, ABCDCBEFDG, ABCDCBEFEA, ABCDCBEFEB, ABCDCBEFEC, ABCDCBEFED, ABCDCBEFEE, ABCDCBEFEF, ABCDCBEFEG, ABCDCBEFFA, ABCDCBEFFB, ABCDCBEFFC, ABCDCBEFFD, ABCDCBEFFE, ABCDCBEFFF, ABCDCBEFFG, ABCDCBEFGA, ABCDCBEFGB, ABCDCBEFGC, ABCDCBEFGD, ABCDCBEFGE, ABCDCBEFGF, ABCDCBEFGG, ABCDCBEFGH, ABCDCCAAAA, ABCDCCAAAB, ABCDCCAAAC, ABCDCCAAAD, ABCDCCAAAE, ABCDCCAABA, ABCDCCAABB, ABCDCCAABC, ABCDCCAABD, ABCDCCAABE, ABCDCCAACA, ABCDCCAACB, ABCDCCAACC, ABCDCCAACD, ABCDCCAACE, ABCDCCAADA, ABCDCCAADB, ABCDCCAADC, ABCDCCAADD, ABCDCCAADE, ABCDCCAAEA, ABCDCCAAEB, ABCDCCAAEC, ABCDCCAAED, ABCDCCAAEE, ABCDCCAAEF, ABCDCCABAA, ABCDCCABAB, ABCDCCABAC, ABCDCCABAD, ABCDCCABAE, ABCDCCABBA, ABCDCCABBB, ABCDCCABBC, ABCDCCABBD, ABCDCCABBE, ABCDCCABCA, ABCDCCABCB, ABCDCCABCC, ABCDCCABCD, ABCDCCABCE, ABCDCCABDA, ABCDCCABDB, ABCDCCABDC, ABCDCCABDD, ABCDCCABDE, ABCDCCABEA, ABCDCCABEB, ABCDCCABEC, ABCDCCABED, ABCDCCABEE, ABCDCCABEF, ABCDCCACAA, ABCDCCACAB, ABCDCCACAC, ABCDCCACAD, ABCDCCACAE, ABCDCCACBA, ABCDCCACBB, ABCDCCACBC, ABCDCCACBD, ABCDCCACBE, ABCDCCACCA, ABCDCCACCB, ABCDCCACCC, ABCDCCACCD, ABCDCCACCE, ABCDCCACDA, ABCDCCACDB, ABCDCCACDC, ABCDCCACDD, ABCDCCACDE, ABCDCCACEA, ABCDCCACEB, ABCDCCACEC, ABCDCCACED, ABCDCCACEE, ABCDCCACEF, ABCDCCADAA, ABCDCCADAB, ABCDCCADAC, ABCDCCADAD, ABCDCCADAE, ABCDCCADBA, ABCDCCADBB, ABCDCCADBC, ABCDCCADBD, ABCDCCADBE, ABCDCCADCA, ABCDCCADCB, ABCDCCADCC, ABCDCCADCD, ABCDCCADCE, ABCDCCADDA, ABCDCCADDB, ABCDCCADDC, ABCDCCADDD, ABCDCCADDE, ABCDCCADEA, ABCDCCADEB, ABCDCCADEC, ABCDCCADED, ABCDCCADEE, ABCDCCADEF, ABCDCCAEAA, ABCDCCAEAB, ABCDCCAEAC, ABCDCCAEAD, ABCDCCAEAE, ABCDCCAEAF, ABCDCCAEBA, ABCDCCAEBB, ABCDCCAEBC, ABCDCCAEBD, ABCDCCAEBE, ABCDCCAEBF, ABCDCCAECA, ABCDCCAECB, ABCDCCAECC, ABCDCCAECD, ABCDCCAECE, ABCDCCAECF, ABCDCCAEDA, ABCDCCAEDB, ABCDCCAEDC, ABCDCCAEDD, ABCDCCAEDE, ABCDCCAEDF, ABCDCCAEEA, ABCDCCAEEB, ABCDCCAEEC, ABCDCCAEED, ABCDCCAEEE, ABCDCCAEEF, ABCDCCAEFA, ABCDCCAEFB, ABCDCCAEFC, ABCDCCAEFD, ABCDCCAEFE, ABCDCCAEFF, ABCDCCAEFG, ABCDCCBAAA, ABCDCCBAAB, ABCDCCBAAC, ABCDCCBAAD, ABCDCCBAAE, ABCDCCBABA, ABCDCCBABB, ABCDCCBABC, ABCDCCBABD, ABCDCCBABE, ABCDCCBACA, ABCDCCBACB, ABCDCCBACC, ABCDCCBACD, ABCDCCBACE, ABCDCCBADA, ABCDCCBADB, ABCDCCBADC, ABCDCCBADD, ABCDCCBADE, ABCDCCBAEA, ABCDCCBAEB, ABCDCCBAEC, ABCDCCBAED, ABCDCCBAEE, ABCDCCBAEF, ABCDCCBBAA, ABCDCCBBAB, ABCDCCBBAC, ABCDCCBBAD, ABCDCCBBAE, ABCDCCBBBA, ABCDCCBBBB, ABCDCCBBBC, ABCDCCBBBD, ABCDCCBBBE, ABCDCCBBCA, ABCDCCBBCB, ABCDCCBBCC, ABCDCCBBCD, ABCDCCBBCE, ABCDCCBBDA, ABCDCCBBDB, ABCDCCBBDC, ABCDCCBBDD, ABCDCCBBDE, ABCDCCBBEA, ABCDCCBBEB, ABCDCCBBEC, ABCDCCBBED, ABCDCCBBEE, ABCDCCBBEF, ABCDCCBCAA, ABCDCCBCAB, ABCDCCBCAC, ABCDCCBCAD, ABCDCCBCAE, ABCDCCBCBA, ABCDCCBCBB, ABCDCCBCBC, ABCDCCBCBD, ABCDCCBCBE, ABCDCCBCCA, ABCDCCBCCB, ABCDCCBCCC, ABCDCCBCCD, ABCDCCBCCE, ABCDCCBCDA, ABCDCCBCDB, ABCDCCBCDC, ABCDCCBCDD, ABCDCCBCDE, ABCDCCBCEA, ABCDCCBCEB, ABCDCCBCEC, ABCDCCBCED, ABCDCCBCEE, ABCDCCBCEF, ABCDCCBDAA, ABCDCCBDAB, ABCDCCBDAC, ABCDCCBDAD, ABCDCCBDAE, ABCDCCBDBA, ABCDCCBDBB, ABCDCCBDBC, ABCDCCBDBD, ABCDCCBDBE, ABCDCCBDCA, ABCDCCBDCB, ABCDCCBDCC, ABCDCCBDCD, ABCDCCBDCE, ABCDCCBDDA, ABCDCCBDDB, ABCDCCBDDC, ABCDCCBDDD, ABCDCCBDDE, ABCDCCBDEA, ABCDCCBDEB, ABCDCCBDEC, ABCDCCBDED, ABCDCCBDEE, ABCDCCBDEF, ABCDCCBEAA, ABCDCCBEAB, ABCDCCBEAC, ABCDCCBEAD, ABCDCCBEAE, ABCDCCBEAF, ABCDCCBEBA, ABCDCCBEBB, ABCDCCBEBC, ABCDCCBEBD, ABCDCCBEBE, ABCDCCBEBF, ABCDCCBECA, ABCDCCBECB, ABCDCCBECC, ABCDCCBECD, ABCDCCBECE, ABCDCCBECF, ABCDCCBEDA, ABCDCCBEDB, ABCDCCBEDC, ABCDCCBEDD, ABCDCCBEDE, ABCDCCBEDF, ABCDCCBEEA, ABCDCCBEEB, ABCDCCBEEC, ABCDCCBEED, ABCDCCBEEE, ABCDCCBEEF, ABCDCCBEFA, ABCDCCBEFB, ABCDCCBEFC, ABCDCCBEFD, ABCDCCBEFE, ABCDCCBEFF, ABCDCCBEFG, ABCDCCCAAA, ABCDCCCAAB, ABCDCCCAAC, ABCDCCCAAD, ABCDCCCAAE, ABCDCCCABA, ABCDCCCABB, ABCDCCCABC, ABCDCCCABD, ABCDCCCABE, ABCDCCCACA, ABCDCCCACB, ABCDCCCACC, ABCDCCCACD, ABCDCCCACE, ABCDCCCADA, ABCDCCCADB, ABCDCCCADC, ABCDCCCADD, ABCDCCCADE, ABCDCCCAEA, ABCDCCCAEB, ABCDCCCAEC, ABCDCCCAED, ABCDCCCAEE, ABCDCCCAEF, ABCDCCCBAA, ABCDCCCBAB, ABCDCCCBAC, ABCDCCCBAD, ABCDCCCBAE, ABCDCCCBBA, ABCDCCCBBB, ABCDCCCBBC, ABCDCCCBBD, ABCDCCCBBE, ABCDCCCBCA, ABCDCCCBCB, ABCDCCCBCC, ABCDCCCBCD, ABCDCCCBCE, ABCDCCCBDA, ABCDCCCBDB, ABCDCCCBDC, ABCDCCCBDD, ABCDCCCBDE, ABCDCCCBEA, ABCDCCCBEB, ABCDCCCBEC, ABCDCCCBED, ABCDCCCBEE, ABCDCCCBEF, ABCDCCCCAA, ABCDCCCCAB, ABCDCCCCAC, ABCDCCCCAD, ABCDCCCCAE, ABCDCCCCBA, ABCDCCCCBB, ABCDCCCCBC, ABCDCCCCBD, ABCDCCCCBE, ABCDCCCCCA, ABCDCCCCCB, ABCDCCCCCC, ABCDCCCCCD, ABCDCCCCCE, ABCDCCCCDA, ABCDCCCCDB, ABCDCCCCDC, ABCDCCCCDD, ABCDCCCCDE, ABCDCCCCEA, ABCDCCCCEB, ABCDCCCCEC, ABCDCCCCED, ABCDCCCCEE, ABCDCCCCEF, ABCDCCCDAA, ABCDCCCDAB, ABCDCCCDAC, ABCDCCCDAD, ABCDCCCDAE, ABCDCCCDBA, ABCDCCCDBB, ABCDCCCDBC, ABCDCCCDBD, ABCDCCCDBE, ABCDCCCDCA, ABCDCCCDCB, ABCDCCCDCC, ABCDCCCDCD, ABCDCCCDCE, ABCDCCCDDA, ABCDCCCDDB, ABCDCCCDDC, ABCDCCCDDD, ABCDCCCDDE, ABCDCCCDEA, ABCDCCCDEB, ABCDCCCDEC, ABCDCCCDED, ABCDCCCDEE, ABCDCCCDEF, ABCDCCCEAA, ABCDCCCEAB, ABCDCCCEAC, ABCDCCCEAD, ABCDCCCEAE, ABCDCCCEAF, ABCDCCCEBA, ABCDCCCEBB, ABCDCCCEBC, ABCDCCCEBD, ABCDCCCEBE, ABCDCCCEBF, ABCDCCCECA, ABCDCCCECB, ABCDCCCECC, ABCDCCCECD, ABCDCCCECE, ABCDCCCECF, ABCDCCCEDA, ABCDCCCEDB, ABCDCCCEDC, ABCDCCCEDD, ABCDCCCEDE, ABCDCCCEDF, ABCDCCCEEA, ABCDCCCEEB, ABCDCCCEEC, ABCDCCCEED, ABCDCCCEEE, ABCDCCCEEF, ABCDCCCEFA, ABCDCCCEFB, ABCDCCCEFC, ABCDCCCEFD, ABCDCCCEFE, ABCDCCCEFF, ABCDCCCEFG, ABCDCCDAAA, ABCDCCDAAB, ABCDCCDAAC, ABCDCCDAAD, ABCDCCDAAE, ABCDCCDABA, ABCDCCDABB, ABCDCCDABC, ABCDCCDABD, ABCDCCDABE, ABCDCCDACA, ABCDCCDACB, ABCDCCDACC, ABCDCCDACD, ABCDCCDACE, ABCDCCDADA, ABCDCCDADB, ABCDCCDADC, ABCDCCDADD, ABCDCCDADE, ABCDCCDAEA, ABCDCCDAEB, ABCDCCDAEC, ABCDCCDAED, ABCDCCDAEE, ABCDCCDAEF, ABCDCCDBAA, ABCDCCDBAB, ABCDCCDBAC, ABCDCCDBAD, ABCDCCDBAE, ABCDCCDBBA, ABCDCCDBBB, ABCDCCDBBC, ABCDCCDBBD, ABCDCCDBBE, ABCDCCDBCA, ABCDCCDBCB, ABCDCCDBCC, ABCDCCDBCD, ABCDCCDBCE, ABCDCCDBDA, ABCDCCDBDB, ABCDCCDBDC, ABCDCCDBDD, ABCDCCDBDE, ABCDCCDBEA, ABCDCCDBEB, ABCDCCDBEC, ABCDCCDBED, ABCDCCDBEE, ABCDCCDBEF, ABCDCCDCAA, ABCDCCDCAB, ABCDCCDCAC, ABCDCCDCAD, ABCDCCDCAE, ABCDCCDCBA, ABCDCCDCBB, ABCDCCDCBC, ABCDCCDCBD, ABCDCCDCBE, ABCDCCDCCA, ABCDCCDCCB, ABCDCCDCCC, ABCDCCDCCD, ABCDCCDCCE, ABCDCCDCDA, ABCDCCDCDB, ABCDCCDCDC, ABCDCCDCDD, ABCDCCDCDE, ABCDCCDCEA, ABCDCCDCEB, ABCDCCDCEC, ABCDCCDCED, ABCDCCDCEE, ABCDCCDCEF, ABCDCCDDAA, ABCDCCDDAB, ABCDCCDDAC, ABCDCCDDAD, ABCDCCDDAE, ABCDCCDDBA, ABCDCCDDBB, ABCDCCDDBC, ABCDCCDDBD, ABCDCCDDBE, ABCDCCDDCA, ABCDCCDDCB, ABCDCCDDCC, ABCDCCDDCD, ABCDCCDDCE, ABCDCCDDDA, ABCDCCDDDB, ABCDCCDDDC, ABCDCCDDDD, ABCDCCDDDE, ABCDCCDDEA, ABCDCCDDEB, ABCDCCDDEC, ABCDCCDDED, ABCDCCDDEE, ABCDCCDDEF, ABCDCCDEAA, ABCDCCDEAB, ABCDCCDEAC, ABCDCCDEAD, ABCDCCDEAE, ABCDCCDEAF, ABCDCCDEBA, ABCDCCDEBB, ABCDCCDEBC, ABCDCCDEBD, ABCDCCDEBE, ABCDCCDEBF, ABCDCCDECA, ABCDCCDECB, ABCDCCDECC, ABCDCCDECD, ABCDCCDECE, ABCDCCDECF, ABCDCCDEDA, ABCDCCDEDB, ABCDCCDEDC, ABCDCCDEDD, ABCDCCDEDE, ABCDCCDEDF, ABCDCCDEEA, ABCDCCDEEB, ABCDCCDEEC, ABCDCCDEED, ABCDCCDEEE, ABCDCCDEEF, ABCDCCDEFA, ABCDCCDEFB, ABCDCCDEFC, ABCDCCDEFD, ABCDCCDEFE, ABCDCCDEFF, ABCDCCDEFG, ABCDCCEAAA, ABCDCCEAAB, ABCDCCEAAC, ABCDCCEAAD, ABCDCCEAAE, ABCDCCEAAF, ABCDCCEABA, ABCDCCEABB, ABCDCCEABC, ABCDCCEABD, ABCDCCEABE, ABCDCCEABF, ABCDCCEACA, ABCDCCEACB, ABCDCCEACC, ABCDCCEACD, ABCDCCEACE, ABCDCCEACF, ABCDCCEADA, ABCDCCEADB, ABCDCCEADC, ABCDCCEADD, ABCDCCEADE, ABCDCCEADF, ABCDCCEAEA, ABCDCCEAEB, ABCDCCEAEC, ABCDCCEAED, ABCDCCEAEE, ABCDCCEAEF, ABCDCCEAFA, ABCDCCEAFB, ABCDCCEAFC, ABCDCCEAFD, ABCDCCEAFE, ABCDCCEAFF, ABCDCCEAFG, ABCDCCEBAA, ABCDCCEBAB, ABCDCCEBAC, ABCDCCEBAD, ABCDCCEBAE, ABCDCCEBAF, ABCDCCEBBA, ABCDCCEBBB, ABCDCCEBBC, ABCDCCEBBD, ABCDCCEBBE, ABCDCCEBBF, ABCDCCEBCA, ABCDCCEBCB, ABCDCCEBCC, ABCDCCEBCD, ABCDCCEBCE, ABCDCCEBCF, ABCDCCEBDA, ABCDCCEBDB, ABCDCCEBDC, ABCDCCEBDD, ABCDCCEBDE, ABCDCCEBDF, ABCDCCEBEA, ABCDCCEBEB, ABCDCCEBEC, ABCDCCEBED, ABCDCCEBEE, ABCDCCEBEF, ABCDCCEBFA, ABCDCCEBFB, ABCDCCEBFC, ABCDCCEBFD, ABCDCCEBFE, ABCDCCEBFF, ABCDCCEBFG, ABCDCCECAA, ABCDCCECAB, ABCDCCECAC, ABCDCCECAD, ABCDCCECAE, ABCDCCECAF, ABCDCCECBA, ABCDCCECBB, ABCDCCECBC, ABCDCCECBD, ABCDCCECBE, ABCDCCECBF, ABCDCCECCA, ABCDCCECCB, ABCDCCECCC, ABCDCCECCD, ABCDCCECCE, ABCDCCECCF, ABCDCCECDA, ABCDCCECDB, ABCDCCECDC, ABCDCCECDD, ABCDCCECDE, ABCDCCECDF, ABCDCCECEA, ABCDCCECEB, ABCDCCECEC, ABCDCCECED, ABCDCCECEE, ABCDCCECEF, ABCDCCECFA, ABCDCCECFB, ABCDCCECFC, ABCDCCECFD, ABCDCCECFE, ABCDCCECFF, ABCDCCECFG, ABCDCCEDAA, ABCDCCEDAB, ABCDCCEDAC, ABCDCCEDAD, ABCDCCEDAE, ABCDCCEDAF, ABCDCCEDBA, ABCDCCEDBB, ABCDCCEDBC, ABCDCCEDBD, ABCDCCEDBE, ABCDCCEDBF, ABCDCCEDCA, ABCDCCEDCB, ABCDCCEDCC, ABCDCCEDCD, ABCDCCEDCE, ABCDCCEDCF, ABCDCCEDDA, ABCDCCEDDB, ABCDCCEDDC, ABCDCCEDDD, ABCDCCEDDE, ABCDCCEDDF, ABCDCCEDEA, ABCDCCEDEB, ABCDCCEDEC, ABCDCCEDED, ABCDCCEDEE, ABCDCCEDEF, ABCDCCEDFA, ABCDCCEDFB, ABCDCCEDFC, ABCDCCEDFD, ABCDCCEDFE, ABCDCCEDFF, ABCDCCEDFG, ABCDCCEEAA, ABCDCCEEAB, ABCDCCEEAC, ABCDCCEEAD, ABCDCCEEAE, ABCDCCEEAF, ABCDCCEEBA, ABCDCCEEBB, ABCDCCEEBC, ABCDCCEEBD, ABCDCCEEBE, ABCDCCEEBF, ABCDCCEECA, ABCDCCEECB, ABCDCCEECC, ABCDCCEECD, ABCDCCEECE, ABCDCCEECF, ABCDCCEEDA, ABCDCCEEDB, ABCDCCEEDC, ABCDCCEEDD, ABCDCCEEDE, ABCDCCEEDF, ABCDCCEEEA, ABCDCCEEEB, ABCDCCEEEC, ABCDCCEEED, ABCDCCEEEE, ABCDCCEEEF, ABCDCCEEFA, ABCDCCEEFB, ABCDCCEEFC, ABCDCCEEFD, ABCDCCEEFE, ABCDCCEEFF, ABCDCCEEFG, ABCDCCEFAA, ABCDCCEFAB, ABCDCCEFAC, ABCDCCEFAD, ABCDCCEFAE, ABCDCCEFAF, ABCDCCEFAG, ABCDCCEFBA, ABCDCCEFBB, ABCDCCEFBC, ABCDCCEFBD, ABCDCCEFBE, ABCDCCEFBF, ABCDCCEFBG, ABCDCCEFCA, ABCDCCEFCB, ABCDCCEFCC, ABCDCCEFCD, ABCDCCEFCE, ABCDCCEFCF, ABCDCCEFCG, ABCDCCEFDA, ABCDCCEFDB, ABCDCCEFDC, ABCDCCEFDD, ABCDCCEFDE, ABCDCCEFDF, ABCDCCEFDG, ABCDCCEFEA, ABCDCCEFEB, ABCDCCEFEC, ABCDCCEFED, ABCDCCEFEE, ABCDCCEFEF, ABCDCCEFEG, ABCDCCEFFA, ABCDCCEFFB, ABCDCCEFFC, ABCDCCEFFD, ABCDCCEFFE, ABCDCCEFFF, ABCDCCEFFG, ABCDCCEFGA, ABCDCCEFGB, ABCDCCEFGC, ABCDCCEFGD, ABCDCCEFGE, ABCDCCEFGF, ABCDCCEFGG, ABCDCCEFGH, ABCDCDAAAA, ABCDCDAAAB, ABCDCDAAAC, ABCDCDAAAD, ABCDCDAAAE, ABCDCDAABA, ABCDCDAABB, ABCDCDAABC, ABCDCDAABD, ABCDCDAABE, ABCDCDAACA, ABCDCDAACB, ABCDCDAACC, ABCDCDAACD, ABCDCDAACE, ABCDCDAADA, ABCDCDAADB, ABCDCDAADC, ABCDCDAADD, ABCDCDAADE, ABCDCDAAEA, ABCDCDAAEB, ABCDCDAAEC, ABCDCDAAED, ABCDCDAAEE, ABCDCDAAEF, ABCDCDABAA, ABCDCDABAB, ABCDCDABAC, ABCDCDABAD, ABCDCDABAE, ABCDCDABBA, ABCDCDABBB, ABCDCDABBC, ABCDCDABBD, ABCDCDABBE, ABCDCDABCA, ABCDCDABCB, ABCDCDABCC, ABCDCDABCD, ABCDCDABCE, ABCDCDABDA, ABCDCDABDB, ABCDCDABDC, ABCDCDABDD, ABCDCDABDE, ABCDCDABEA, ABCDCDABEB, ABCDCDABEC, ABCDCDABED, ABCDCDABEE, ABCDCDABEF, ABCDCDACAA, ABCDCDACAB, ABCDCDACAC, ABCDCDACAD, ABCDCDACAE, ABCDCDACBA, ABCDCDACBB, ABCDCDACBC, ABCDCDACBD, ABCDCDACBE, ABCDCDACCA, ABCDCDACCB, ABCDCDACCC, ABCDCDACCD, ABCDCDACCE, ABCDCDACDA, ABCDCDACDB, ABCDCDACDC, ABCDCDACDD, ABCDCDACDE, ABCDCDACEA, ABCDCDACEB, ABCDCDACEC, ABCDCDACED, ABCDCDACEE, ABCDCDACEF, ABCDCDADAA, ABCDCDADAB, ABCDCDADAC, ABCDCDADAD, ABCDCDADAE, ABCDCDADBA, ABCDCDADBB, ABCDCDADBC, ABCDCDADBD, ABCDCDADBE, ABCDCDADCA, ABCDCDADCB, ABCDCDADCC, ABCDCDADCD, ABCDCDADCE, ABCDCDADDA, ABCDCDADDB, ABCDCDADDC, ABCDCDADDD, ABCDCDADDE, ABCDCDADEA, ABCDCDADEB, ABCDCDADEC, ABCDCDADED, ABCDCDADEE, ABCDCDADEF, ABCDCDAEAA, ABCDCDAEAB, ABCDCDAEAC, ABCDCDAEAD, ABCDCDAEAE, ABCDCDAEAF, ABCDCDAEBA, ABCDCDAEBB, ABCDCDAEBC, ABCDCDAEBD, ABCDCDAEBE, ABCDCDAEBF, ABCDCDAECA, ABCDCDAECB, ABCDCDAECC, ABCDCDAECD, ABCDCDAECE, ABCDCDAECF, ABCDCDAEDA, ABCDCDAEDB, ABCDCDAEDC, ABCDCDAEDD, ABCDCDAEDE, ABCDCDAEDF, ABCDCDAEEA, ABCDCDAEEB, ABCDCDAEEC, ABCDCDAEED, ABCDCDAEEE, ABCDCDAEEF, ABCDCDAEFA, ABCDCDAEFB, ABCDCDAEFC, ABCDCDAEFD, ABCDCDAEFE, ABCDCDAEFF, ABCDCDAEFG, ABCDCDBAAA, ABCDCDBAAB, ABCDCDBAAC, ABCDCDBAAD, ABCDCDBAAE, ABCDCDBABA, ABCDCDBABB, ABCDCDBABC, ABCDCDBABD, ABCDCDBABE, ABCDCDBACA, ABCDCDBACB, ABCDCDBACC, ABCDCDBACD, ABCDCDBACE, ABCDCDBADA, ABCDCDBADB, ABCDCDBADC, ABCDCDBADD, ABCDCDBADE, ABCDCDBAEA, ABCDCDBAEB, ABCDCDBAEC, ABCDCDBAED, ABCDCDBAEE, ABCDCDBAEF, ABCDCDBBAA, ABCDCDBBAB, ABCDCDBBAC, ABCDCDBBAD, ABCDCDBBAE, ABCDCDBBBA, ABCDCDBBBB, ABCDCDBBBC, ABCDCDBBBD, ABCDCDBBBE, ABCDCDBBCA, ABCDCDBBCB, ABCDCDBBCC, ABCDCDBBCD, ABCDCDBBCE, ABCDCDBBDA, ABCDCDBBDB, ABCDCDBBDC, ABCDCDBBDD, ABCDCDBBDE, ABCDCDBBEA, ABCDCDBBEB, ABCDCDBBEC, ABCDCDBBED, ABCDCDBBEE, ABCDCDBBEF, ABCDCDBCAA, ABCDCDBCAB, ABCDCDBCAC, ABCDCDBCAD, ABCDCDBCAE, ABCDCDBCBA, ABCDCDBCBB, ABCDCDBCBC, ABCDCDBCBD, ABCDCDBCBE, ABCDCDBCCA, ABCDCDBCCB, ABCDCDBCCC, ABCDCDBCCD, ABCDCDBCCE, ABCDCDBCDA, ABCDCDBCDB, ABCDCDBCDC, ABCDCDBCDD, ABCDCDBCDE, ABCDCDBCEA, 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ABCDDACAAA, ABCDDACAAB, ABCDDACAAC, ABCDDACAAD, ABCDDACAAE, ABCDDACABA, ABCDDACABB, ABCDDACABC, ABCDDACABD, ABCDDACABE, ABCDDACACA, ABCDDACACB, ABCDDACACC, ABCDDACACD, ABCDDACACE, ABCDDACADA, ABCDDACADB, ABCDDACADC, ABCDDACADD, ABCDDACADE, ABCDDACAEA, ABCDDACAEB, ABCDDACAEC, ABCDDACAED, ABCDDACAEE, ABCDDACAEF, ABCDDACBAA, ABCDDACBAB, ABCDDACBAC, ABCDDACBAD, ABCDDACBAE, ABCDDACBBA, ABCDDACBBB, ABCDDACBBC, ABCDDACBBD, ABCDDACBBE, ABCDDACBCA, ABCDDACBCB, ABCDDACBCC, ABCDDACBCD, ABCDDACBCE, ABCDDACBDA, ABCDDACBDB, ABCDDACBDC, ABCDDACBDD, ABCDDACBDE, ABCDDACBEA, ABCDDACBEB, ABCDDACBEC, ABCDDACBED, ABCDDACBEE, ABCDDACBEF, ABCDDACCAA, ABCDDACCAB, ABCDDACCAC, ABCDDACCAD, ABCDDACCAE, ABCDDACCBA, ABCDDACCBB, ABCDDACCBC, ABCDDACCBD, ABCDDACCBE, ABCDDACCCA, ABCDDACCCB, ABCDDACCCC, ABCDDACCCD, ABCDDACCCE, ABCDDACCDA, ABCDDACCDB, ABCDDACCDC, ABCDDACCDD, ABCDDACCDE, ABCDDACCEA, ABCDDACCEB, ABCDDACCEC, ABCDDACCED, ABCDDACCEE, ABCDDACCEF, ABCDDACDAA, ABCDDACDAB, ABCDDACDAC, ABCDDACDAD, ABCDDACDAE, ABCDDACDBA, ABCDDACDBB, ABCDDACDBC, ABCDDACDBD, ABCDDACDBE, ABCDDACDCA, ABCDDACDCB, ABCDDACDCC, ABCDDACDCD, ABCDDACDCE, ABCDDACDDA, ABCDDACDDB, ABCDDACDDC, ABCDDACDDD, ABCDDACDDE, ABCDDACDEA, ABCDDACDEB, ABCDDACDEC, ABCDDACDED, ABCDDACDEE, ABCDDACDEF, ABCDDACEAA, ABCDDACEAB, ABCDDACEAC, ABCDDACEAD, ABCDDACEAE, ABCDDACEAF, ABCDDACEBA, ABCDDACEBB, ABCDDACEBC, ABCDDACEBD, ABCDDACEBE, ABCDDACEBF, ABCDDACECA, ABCDDACECB, ABCDDACECC, ABCDDACECD, ABCDDACECE, ABCDDACECF, ABCDDACEDA, ABCDDACEDB, ABCDDACEDC, ABCDDACEDD, ABCDDACEDE, ABCDDACEDF, ABCDDACEEA, ABCDDACEEB, ABCDDACEEC, ABCDDACEED, ABCDDACEEE, ABCDDACEEF, ABCDDACEFA, ABCDDACEFB, ABCDDACEFC, ABCDDACEFD, ABCDDACEFE, ABCDDACEFF, ABCDDACEFG, ABCDDADAAA, ABCDDADAAB, ABCDDADAAC, ABCDDADAAD, ABCDDADAAE, ABCDDADABA, ABCDDADABB, ABCDDADABC, ABCDDADABD, ABCDDADABE, ABCDDADACA, ABCDDADACB, ABCDDADACC, ABCDDADACD, ABCDDADACE, ABCDDADADA, ABCDDADADB, ABCDDADADC, ABCDDADADD, ABCDDADADE, ABCDDADAEA, ABCDDADAEB, ABCDDADAEC, ABCDDADAED, ABCDDADAEE, ABCDDADAEF, ABCDDADBAA, ABCDDADBAB, ABCDDADBAC, ABCDDADBAD, ABCDDADBAE, ABCDDADBBA, ABCDDADBBB, ABCDDADBBC, ABCDDADBBD, ABCDDADBBE, ABCDDADBCA, ABCDDADBCB, ABCDDADBCC, ABCDDADBCD, ABCDDADBCE, ABCDDADBDA, ABCDDADBDB, ABCDDADBDC, ABCDDADBDD, ABCDDADBDE, ABCDDADBEA, ABCDDADBEB, ABCDDADBEC, ABCDDADBED, ABCDDADBEE, ABCDDADBEF, ABCDDADCAA, ABCDDADCAB, ABCDDADCAC, ABCDDADCAD, ABCDDADCAE, ABCDDADCBA, ABCDDADCBB, ABCDDADCBC, ABCDDADCBD, ABCDDADCBE, ABCDDADCCA, ABCDDADCCB, ABCDDADCCC, ABCDDADCCD, ABCDDADCCE, ABCDDADCDA, ABCDDADCDB, ABCDDADCDC, ABCDDADCDD, ABCDDADCDE, ABCDDADCEA, ABCDDADCEB, ABCDDADCEC, ABCDDADCED, ABCDDADCEE, ABCDDADCEF, ABCDDADDAA, ABCDDADDAB, ABCDDADDAC, ABCDDADDAD, ABCDDADDAE, ABCDDADDBA, ABCDDADDBB, ABCDDADDBC, ABCDDADDBD, ABCDDADDBE, ABCDDADDCA, ABCDDADDCB, ABCDDADDCC, ABCDDADDCD, ABCDDADDCE, ABCDDADDDA, ABCDDADDDB, ABCDDADDDC, ABCDDADDDD, ABCDDADDDE, ABCDDADDEA, ABCDDADDEB, ABCDDADDEC, ABCDDADDED, ABCDDADDEE, ABCDDADDEF, ABCDDADEAA, ABCDDADEAB, ABCDDADEAC, ABCDDADEAD, ABCDDADEAE, ABCDDADEAF, ABCDDADEBA, ABCDDADEBB, ABCDDADEBC, ABCDDADEBD, ABCDDADEBE, ABCDDADEBF, ABCDDADECA, ABCDDADECB, ABCDDADECC, ABCDDADECD, ABCDDADECE, ABCDDADECF, ABCDDADEDA, ABCDDADEDB, ABCDDADEDC, ABCDDADEDD, ABCDDADEDE, ABCDDADEDF, ABCDDADEEA, ABCDDADEEB, ABCDDADEEC, ABCDDADEED, ABCDDADEEE, ABCDDADEEF, ABCDDADEFA, ABCDDADEFB, ABCDDADEFC, ABCDDADEFD, ABCDDADEFE, ABCDDADEFF, ABCDDADEFG, ABCDDAEAAA, ABCDDAEAAB, ABCDDAEAAC, ABCDDAEAAD, ABCDDAEAAE, ABCDDAEAAF, ABCDDAEABA, ABCDDAEABB, ABCDDAEABC, ABCDDAEABD, ABCDDAEABE, ABCDDAEABF, ABCDDAEACA, ABCDDAEACB, ABCDDAEACC, ABCDDAEACD, ABCDDAEACE, ABCDDAEACF, ABCDDAEADA, ABCDDAEADB, ABCDDAEADC, ABCDDAEADD, ABCDDAEADE, ABCDDAEADF, ABCDDAEAEA, ABCDDAEAEB, ABCDDAEAEC, ABCDDAEAED, ABCDDAEAEE, ABCDDAEAEF, ABCDDAEAFA, ABCDDAEAFB, ABCDDAEAFC, ABCDDAEAFD, ABCDDAEAFE, ABCDDAEAFF, ABCDDAEAFG, ABCDDAEBAA, ABCDDAEBAB, ABCDDAEBAC, ABCDDAEBAD, ABCDDAEBAE, ABCDDAEBAF, ABCDDAEBBA, ABCDDAEBBB, ABCDDAEBBC, ABCDDAEBBD, ABCDDAEBBE, ABCDDAEBBF, ABCDDAEBCA, ABCDDAEBCB, ABCDDAEBCC, ABCDDAEBCD, ABCDDAEBCE, ABCDDAEBCF, ABCDDAEBDA, ABCDDAEBDB, ABCDDAEBDC, ABCDDAEBDD, ABCDDAEBDE, ABCDDAEBDF, ABCDDAEBEA, ABCDDAEBEB, ABCDDAEBEC, ABCDDAEBED, ABCDDAEBEE, ABCDDAEBEF, ABCDDAEBFA, ABCDDAEBFB, ABCDDAEBFC, ABCDDAEBFD, ABCDDAEBFE, ABCDDAEBFF, ABCDDAEBFG, ABCDDAECAA, ABCDDAECAB, ABCDDAECAC, ABCDDAECAD, ABCDDAECAE, ABCDDAECAF, ABCDDAECBA, ABCDDAECBB, ABCDDAECBC, ABCDDAECBD, ABCDDAECBE, ABCDDAECBF, ABCDDAECCA, ABCDDAECCB, ABCDDAECCC, ABCDDAECCD, ABCDDAECCE, ABCDDAECCF, ABCDDAECDA, ABCDDAECDB, ABCDDAECDC, ABCDDAECDD, ABCDDAECDE, ABCDDAECDF, ABCDDAECEA, ABCDDAECEB, ABCDDAECEC, ABCDDAECED, ABCDDAECEE, ABCDDAECEF, ABCDDAECFA, ABCDDAECFB, ABCDDAECFC, ABCDDAECFD, ABCDDAECFE, ABCDDAECFF, ABCDDAECFG, ABCDDAEDAA, ABCDDAEDAB, ABCDDAEDAC, ABCDDAEDAD, ABCDDAEDAE, ABCDDAEDAF, ABCDDAEDBA, ABCDDAEDBB, ABCDDAEDBC, ABCDDAEDBD, ABCDDAEDBE, ABCDDAEDBF, ABCDDAEDCA, ABCDDAEDCB, ABCDDAEDCC, ABCDDAEDCD, ABCDDAEDCE, ABCDDAEDCF, ABCDDAEDDA, ABCDDAEDDB, ABCDDAEDDC, ABCDDAEDDD, ABCDDAEDDE, ABCDDAEDDF, ABCDDAEDEA, ABCDDAEDEB, ABCDDAEDEC, ABCDDAEDED, ABCDDAEDEE, ABCDDAEDEF, ABCDDAEDFA, ABCDDAEDFB, ABCDDAEDFC, ABCDDAEDFD, ABCDDAEDFE, ABCDDAEDFF, ABCDDAEDFG, ABCDDAEEAA, ABCDDAEEAB, ABCDDAEEAC, ABCDDAEEAD, ABCDDAEEAE, ABCDDAEEAF, ABCDDAEEBA, ABCDDAEEBB, ABCDDAEEBC, ABCDDAEEBD, ABCDDAEEBE, ABCDDAEEBF, ABCDDAEECA, ABCDDAEECB, ABCDDAEECC, ABCDDAEECD, ABCDDAEECE, ABCDDAEECF, ABCDDAEEDA, ABCDDAEEDB, ABCDDAEEDC, ABCDDAEEDD, ABCDDAEEDE, ABCDDAEEDF, ABCDDAEEEA, ABCDDAEEEB, ABCDDAEEEC, ABCDDAEEED, ABCDDAEEEE, ABCDDAEEEF, ABCDDAEEFA, ABCDDAEEFB, ABCDDAEEFC, ABCDDAEEFD, ABCDDAEEFE, ABCDDAEEFF, ABCDDAEEFG, ABCDDAEFAA, ABCDDAEFAB, ABCDDAEFAC, ABCDDAEFAD, ABCDDAEFAE, ABCDDAEFAF, ABCDDAEFAG, ABCDDAEFBA, ABCDDAEFBB, ABCDDAEFBC, ABCDDAEFBD, ABCDDAEFBE, ABCDDAEFBF, ABCDDAEFBG, ABCDDAEFCA, ABCDDAEFCB, ABCDDAEFCC, ABCDDAEFCD, ABCDDAEFCE, ABCDDAEFCF, ABCDDAEFCG, ABCDDAEFDA, ABCDDAEFDB, ABCDDAEFDC, ABCDDAEFDD, ABCDDAEFDE, ABCDDAEFDF, ABCDDAEFDG, ABCDDAEFEA, ABCDDAEFEB, ABCDDAEFEC, ABCDDAEFED, ABCDDAEFEE, ABCDDAEFEF, ABCDDAEFEG, ABCDDAEFFA, ABCDDAEFFB, ABCDDAEFFC, ABCDDAEFFD, ABCDDAEFFE, ABCDDAEFFF, ABCDDAEFFG, ABCDDAEFGA, ABCDDAEFGB, ABCDDAEFGC, ABCDDAEFGD, ABCDDAEFGE, ABCDDAEFGF, ABCDDAEFGG, ABCDDAEFGH, ABCDDBAAAA, ABCDDBAAAB, ABCDDBAAAC, ABCDDBAAAD, ABCDDBAAAE, ABCDDBAABA, ABCDDBAABB, ABCDDBAABC, ABCDDBAABD, ABCDDBAABE, ABCDDBAACA, ABCDDBAACB, ABCDDBAACC, ABCDDBAACD, ABCDDBAACE, ABCDDBAADA, ABCDDBAADB, ABCDDBAADC, ABCDDBAADD, ABCDDBAADE, ABCDDBAAEA, ABCDDBAAEB, ABCDDBAAEC, ABCDDBAAED, ABCDDBAAEE, ABCDDBAAEF, ABCDDBABAA, ABCDDBABAB, ABCDDBABAC, ABCDDBABAD, ABCDDBABAE, ABCDDBABBA, ABCDDBABBB, ABCDDBABBC, ABCDDBABBD, ABCDDBABBE, ABCDDBABCA, ABCDDBABCB, ABCDDBABCC, ABCDDBABCD, ABCDDBABCE, ABCDDBABDA, ABCDDBABDB, ABCDDBABDC, ABCDDBABDD, ABCDDBABDE, ABCDDBABEA, ABCDDBABEB, ABCDDBABEC, ABCDDBABED, ABCDDBABEE, ABCDDBABEF, ABCDDBACAA, ABCDDBACAB, ABCDDBACAC, ABCDDBACAD, ABCDDBACAE, ABCDDBACBA, ABCDDBACBB, ABCDDBACBC, ABCDDBACBD, ABCDDBACBE, ABCDDBACCA, ABCDDBACCB, ABCDDBACCC, ABCDDBACCD, ABCDDBACCE, ABCDDBACDA, ABCDDBACDB, ABCDDBACDC, ABCDDBACDD, ABCDDBACDE, ABCDDBACEA, ABCDDBACEB, ABCDDBACEC, ABCDDBACED, ABCDDBACEE, ABCDDBACEF, ABCDDBADAA, ABCDDBADAB, ABCDDBADAC, ABCDDBADAD, ABCDDBADAE, ABCDDBADBA, ABCDDBADBB, ABCDDBADBC, ABCDDBADBD, ABCDDBADBE, ABCDDBADCA, ABCDDBADCB, ABCDDBADCC, ABCDDBADCD, ABCDDBADCE, ABCDDBADDA, ABCDDBADDB, ABCDDBADDC, ABCDDBADDD, ABCDDBADDE, ABCDDBADEA, ABCDDBADEB, ABCDDBADEC, ABCDDBADED, ABCDDBADEE, ABCDDBADEF, ABCDDBAEAA, ABCDDBAEAB, ABCDDBAEAC, ABCDDBAEAD, ABCDDBAEAE, ABCDDBAEAF, ABCDDBAEBA, ABCDDBAEBB, ABCDDBAEBC, ABCDDBAEBD, ABCDDBAEBE, ABCDDBAEBF, ABCDDBAECA, ABCDDBAECB, ABCDDBAECC, ABCDDBAECD, ABCDDBAECE, ABCDDBAECF, ABCDDBAEDA, ABCDDBAEDB, ABCDDBAEDC, ABCDDBAEDD, ABCDDBAEDE, ABCDDBAEDF, ABCDDBAEEA, ABCDDBAEEB, ABCDDBAEEC, ABCDDBAEED, ABCDDBAEEE, ABCDDBAEEF, ABCDDBAEFA, ABCDDBAEFB, ABCDDBAEFC, ABCDDBAEFD, ABCDDBAEFE, ABCDDBAEFF, ABCDDBAEFG, ABCDDBBAAA, ABCDDBBAAB, ABCDDBBAAC, ABCDDBBAAD, ABCDDBBAAE, ABCDDBBABA, ABCDDBBABB, ABCDDBBABC, ABCDDBBABD, ABCDDBBABE, ABCDDBBACA, ABCDDBBACB, ABCDDBBACC, ABCDDBBACD, ABCDDBBACE, ABCDDBBADA, ABCDDBBADB, ABCDDBBADC, ABCDDBBADD, ABCDDBBADE, ABCDDBBAEA, ABCDDBBAEB, ABCDDBBAEC, ABCDDBBAED, ABCDDBBAEE, ABCDDBBAEF, ABCDDBBBAA, ABCDDBBBAB, ABCDDBBBAC, ABCDDBBBAD, ABCDDBBBAE, ABCDDBBBBA, ABCDDBBBBB, ABCDDBBBBC, ABCDDBBBBD, ABCDDBBBBE, ABCDDBBBCA, ABCDDBBBCB, ABCDDBBBCC, ABCDDBBBCD, ABCDDBBBCE, ABCDDBBBDA, ABCDDBBBDB, ABCDDBBBDC, ABCDDBBBDD, ABCDDBBBDE, ABCDDBBBEA, ABCDDBBBEB, ABCDDBBBEC, ABCDDBBBED, ABCDDBBBEE, ABCDDBBBEF, ABCDDBBCAA, ABCDDBBCAB, ABCDDBBCAC, ABCDDBBCAD, ABCDDBBCAE, ABCDDBBCBA, ABCDDBBCBB, ABCDDBBCBC, ABCDDBBCBD, ABCDDBBCBE, ABCDDBBCCA, ABCDDBBCCB, ABCDDBBCCC, ABCDDBBCCD, ABCDDBBCCE, ABCDDBBCDA, ABCDDBBCDB, ABCDDBBCDC, ABCDDBBCDD, ABCDDBBCDE, ABCDDBBCEA, ABCDDBBCEB, ABCDDBBCEC, ABCDDBBCED, ABCDDBBCEE, ABCDDBBCEF, ABCDDBBDAA, ABCDDBBDAB, ABCDDBBDAC, ABCDDBBDAD, ABCDDBBDAE, ABCDDBBDBA, ABCDDBBDBB, ABCDDBBDBC, ABCDDBBDBD, ABCDDBBDBE, ABCDDBBDCA, ABCDDBBDCB, ABCDDBBDCC, ABCDDBBDCD, ABCDDBBDCE, ABCDDBBDDA, ABCDDBBDDB, ABCDDBBDDC, ABCDDBBDDD, ABCDDBBDDE, ABCDDBBDEA, ABCDDBBDEB, ABCDDBBDEC, ABCDDBBDED, ABCDDBBDEE, ABCDDBBDEF, ABCDDBBEAA, ABCDDBBEAB, ABCDDBBEAC, ABCDDBBEAD, ABCDDBBEAE, ABCDDBBEAF, ABCDDBBEBA, ABCDDBBEBB, ABCDDBBEBC, ABCDDBBEBD, ABCDDBBEBE, ABCDDBBEBF, ABCDDBBECA, ABCDDBBECB, ABCDDBBECC, ABCDDBBECD, ABCDDBBECE, ABCDDBBECF, ABCDDBBEDA, ABCDDBBEDB, ABCDDBBEDC, ABCDDBBEDD, ABCDDBBEDE, ABCDDBBEDF, ABCDDBBEEA, ABCDDBBEEB, ABCDDBBEEC, ABCDDBBEED, ABCDDBBEEE, ABCDDBBEEF, ABCDDBBEFA, ABCDDBBEFB, ABCDDBBEFC, ABCDDBBEFD, ABCDDBBEFE, ABCDDBBEFF, ABCDDBBEFG, ABCDDBCAAA, ABCDDBCAAB, ABCDDBCAAC, ABCDDBCAAD, ABCDDBCAAE, ABCDDBCABA, ABCDDBCABB, ABCDDBCABC, ABCDDBCABD, ABCDDBCABE, ABCDDBCACA, ABCDDBCACB, ABCDDBCACC, ABCDDBCACD, ABCDDBCACE, ABCDDBCADA, ABCDDBCADB, ABCDDBCADC, ABCDDBCADD, ABCDDBCADE, ABCDDBCAEA, ABCDDBCAEB, ABCDDBCAEC, ABCDDBCAED, ABCDDBCAEE, ABCDDBCAEF, ABCDDBCBAA, ABCDDBCBAB, ABCDDBCBAC, ABCDDBCBAD, ABCDDBCBAE, ABCDDBCBBA, ABCDDBCBBB, ABCDDBCBBC, ABCDDBCBBD, ABCDDBCBBE, ABCDDBCBCA, ABCDDBCBCB, ABCDDBCBCC, ABCDDBCBCD, ABCDDBCBCE, ABCDDBCBDA, ABCDDBCBDB, ABCDDBCBDC, ABCDDBCBDD, ABCDDBCBDE, ABCDDBCBEA, ABCDDBCBEB, ABCDDBCBEC, ABCDDBCBED, ABCDDBCBEE, ABCDDBCBEF, ABCDDBCCAA, ABCDDBCCAB, ABCDDBCCAC, ABCDDBCCAD, ABCDDBCCAE, ABCDDBCCBA, ABCDDBCCBB, ABCDDBCCBC, ABCDDBCCBD, ABCDDBCCBE, ABCDDBCCCA, ABCDDBCCCB, ABCDDBCCCC, ABCDDBCCCD, ABCDDBCCCE, ABCDDBCCDA, ABCDDBCCDB, ABCDDBCCDC, ABCDDBCCDD, ABCDDBCCDE, ABCDDBCCEA, ABCDDBCCEB, ABCDDBCCEC, ABCDDBCCED, ABCDDBCCEE, ABCDDBCCEF, ABCDDBCDAA, ABCDDBCDAB, ABCDDBCDAC, ABCDDBCDAD, ABCDDBCDAE, ABCDDBCDBA, ABCDDBCDBB, ABCDDBCDBC, ABCDDBCDBD, ABCDDBCDBE, ABCDDBCDCA, ABCDDBCDCB, ABCDDBCDCC, ABCDDBCDCD, ABCDDBCDCE, ABCDDBCDDA, ABCDDBCDDB, ABCDDBCDDC, ABCDDBCDDD, ABCDDBCDDE, ABCDDBCDEA, ABCDDBCDEB, ABCDDBCDEC, ABCDDBCDED, ABCDDBCDEE, ABCDDBCDEF, ABCDDBCEAA, ABCDDBCEAB, ABCDDBCEAC, ABCDDBCEAD, ABCDDBCEAE, ABCDDBCEAF, ABCDDBCEBA, ABCDDBCEBB, ABCDDBCEBC, ABCDDBCEBD, ABCDDBCEBE, ABCDDBCEBF, ABCDDBCECA, ABCDDBCECB, ABCDDBCECC, ABCDDBCECD, ABCDDBCECE, ABCDDBCECF, ABCDDBCEDA, ABCDDBCEDB, ABCDDBCEDC, ABCDDBCEDD, ABCDDBCEDE, ABCDDBCEDF, ABCDDBCEEA, ABCDDBCEEB, ABCDDBCEEC, ABCDDBCEED, ABCDDBCEEE, ABCDDBCEEF, ABCDDBCEFA, ABCDDBCEFB, ABCDDBCEFC, ABCDDBCEFD, ABCDDBCEFE, ABCDDBCEFF, ABCDDBCEFG, ABCDDBDAAA, ABCDDBDAAB, ABCDDBDAAC, ABCDDBDAAD, ABCDDBDAAE, ABCDDBDABA, ABCDDBDABB, ABCDDBDABC, ABCDDBDABD, ABCDDBDABE, ABCDDBDACA, ABCDDBDACB, ABCDDBDACC, ABCDDBDACD, ABCDDBDACE, ABCDDBDADA, ABCDDBDADB, ABCDDBDADC, ABCDDBDADD, ABCDDBDADE, ABCDDBDAEA, ABCDDBDAEB, ABCDDBDAEC, ABCDDBDAED, ABCDDBDAEE, ABCDDBDAEF, ABCDDBDBAA, ABCDDBDBAB, ABCDDBDBAC, ABCDDBDBAD, ABCDDBDBAE, ABCDDBDBBA, ABCDDBDBBB, ABCDDBDBBC, ABCDDBDBBD, ABCDDBDBBE, ABCDDBDBCA, ABCDDBDBCB, ABCDDBDBCC, ABCDDBDBCD, ABCDDBDBCE, ABCDDBDBDA, ABCDDBDBDB, ABCDDBDBDC, ABCDDBDBDD, ABCDDBDBDE, ABCDDBDBEA, ABCDDBDBEB, ABCDDBDBEC, ABCDDBDBED, ABCDDBDBEE, ABCDDBDBEF, ABCDDBDCAA, ABCDDBDCAB, ABCDDBDCAC, ABCDDBDCAD, ABCDDBDCAE, ABCDDBDCBA, ABCDDBDCBB, ABCDDBDCBC, ABCDDBDCBD, ABCDDBDCBE, ABCDDBDCCA, ABCDDBDCCB, ABCDDBDCCC, ABCDDBDCCD, ABCDDBDCCE, ABCDDBDCDA, ABCDDBDCDB, ABCDDBDCDC, ABCDDBDCDD, ABCDDBDCDE, ABCDDBDCEA, ABCDDBDCEB, ABCDDBDCEC, ABCDDBDCED, ABCDDBDCEE, ABCDDBDCEF, ABCDDBDDAA, ABCDDBDDAB, ABCDDBDDAC, ABCDDBDDAD, ABCDDBDDAE, ABCDDBDDBA, ABCDDBDDBB, ABCDDBDDBC, ABCDDBDDBD, ABCDDBDDBE, ABCDDBDDCA, ABCDDBDDCB, ABCDDBDDCC, ABCDDBDDCD, ABCDDBDDCE, ABCDDBDDDA, ABCDDBDDDB, ABCDDBDDDC, ABCDDBDDDD, ABCDDBDDDE, ABCDDBDDEA, ABCDDBDDEB, ABCDDBDDEC, ABCDDBDDED, ABCDDBDDEE, ABCDDBDDEF, ABCDDBDEAA, ABCDDBDEAB, ABCDDBDEAC, ABCDDBDEAD, ABCDDBDEAE, ABCDDBDEAF, ABCDDBDEBA, ABCDDBDEBB, ABCDDBDEBC, ABCDDBDEBD, ABCDDBDEBE, ABCDDBDEBF, ABCDDBDECA, ABCDDBDECB, ABCDDBDECC, ABCDDBDECD, ABCDDBDECE, ABCDDBDECF, ABCDDBDEDA, ABCDDBDEDB, ABCDDBDEDC, ABCDDBDEDD, ABCDDBDEDE, ABCDDBDEDF, ABCDDBDEEA, ABCDDBDEEB, ABCDDBDEEC, ABCDDBDEED, ABCDDBDEEE, ABCDDBDEEF, ABCDDBDEFA, ABCDDBDEFB, ABCDDBDEFC, ABCDDBDEFD, ABCDDBDEFE, ABCDDBDEFF, ABCDDBDEFG, ABCDDBEAAA, ABCDDBEAAB, ABCDDBEAAC, ABCDDBEAAD, ABCDDBEAAE, ABCDDBEAAF, ABCDDBEABA, ABCDDBEABB, ABCDDBEABC, ABCDDBEABD, ABCDDBEABE, ABCDDBEABF, ABCDDBEACA, ABCDDBEACB, ABCDDBEACC, ABCDDBEACD, ABCDDBEACE, ABCDDBEACF, ABCDDBEADA, ABCDDBEADB, ABCDDBEADC, ABCDDBEADD, ABCDDBEADE, ABCDDBEADF, ABCDDBEAEA, ABCDDBEAEB, ABCDDBEAEC, ABCDDBEAED, ABCDDBEAEE, ABCDDBEAEF, ABCDDBEAFA, ABCDDBEAFB, ABCDDBEAFC, ABCDDBEAFD, ABCDDBEAFE, ABCDDBEAFF, ABCDDBEAFG, ABCDDBEBAA, ABCDDBEBAB, ABCDDBEBAC, ABCDDBEBAD, ABCDDBEBAE, ABCDDBEBAF, ABCDDBEBBA, ABCDDBEBBB, ABCDDBEBBC, ABCDDBEBBD, ABCDDBEBBE, ABCDDBEBBF, ABCDDBEBCA, ABCDDBEBCB, ABCDDBEBCC, ABCDDBEBCD, ABCDDBEBCE, ABCDDBEBCF, ABCDDBEBDA, ABCDDBEBDB, ABCDDBEBDC, ABCDDBEBDD, ABCDDBEBDE, ABCDDBEBDF, ABCDDBEBEA, ABCDDBEBEB, ABCDDBEBEC, ABCDDBEBED, ABCDDBEBEE, ABCDDBEBEF, ABCDDBEBFA, ABCDDBEBFB, ABCDDBEBFC, ABCDDBEBFD, ABCDDBEBFE, ABCDDBEBFF, ABCDDBEBFG, ABCDDBECAA, ABCDDBECAB, ABCDDBECAC, ABCDDBECAD, ABCDDBECAE, ABCDDBECAF, ABCDDBECBA, ABCDDBECBB, ABCDDBECBC, ABCDDBECBD, ABCDDBECBE, ABCDDBECBF, ABCDDBECCA, ABCDDBECCB, ABCDDBECCC, ABCDDBECCD, ABCDDBECCE, ABCDDBECCF, ABCDDBECDA, ABCDDBECDB, ABCDDBECDC, ABCDDBECDD, ABCDDBECDE, ABCDDBECDF, ABCDDBECEA, ABCDDBECEB, ABCDDBECEC, ABCDDBECED, ABCDDBECEE, ABCDDBECEF, ABCDDBECFA, ABCDDBECFB, ABCDDBECFC, ABCDDBECFD, ABCDDBECFE, ABCDDBECFF, ABCDDBECFG, ABCDDBEDAA, ABCDDBEDAB, ABCDDBEDAC, ABCDDBEDAD, ABCDDBEDAE, ABCDDBEDAF, ABCDDBEDBA, ABCDDBEDBB, ABCDDBEDBC, ABCDDBEDBD, ABCDDBEDBE, ABCDDBEDBF, ABCDDBEDCA, ABCDDBEDCB, ABCDDBEDCC, ABCDDBEDCD, ABCDDBEDCE, ABCDDBEDCF, ABCDDBEDDA, ABCDDBEDDB, ABCDDBEDDC, ABCDDBEDDD, ABCDDBEDDE, ABCDDBEDDF, ABCDDBEDEA, ABCDDBEDEB, ABCDDBEDEC, ABCDDBEDED, ABCDDBEDEE, ABCDDBEDEF, ABCDDBEDFA, ABCDDBEDFB, ABCDDBEDFC, ABCDDBEDFD, ABCDDBEDFE, ABCDDBEDFF, ABCDDBEDFG, ABCDDBEEAA, ABCDDBEEAB, ABCDDBEEAC, ABCDDBEEAD, ABCDDBEEAE, ABCDDBEEAF, ABCDDBEEBA, ABCDDBEEBB, ABCDDBEEBC, ABCDDBEEBD, ABCDDBEEBE, ABCDDBEEBF, ABCDDBEECA, ABCDDBEECB, ABCDDBEECC, ABCDDBEECD, ABCDDBEECE, ABCDDBEECF, ABCDDBEEDA, ABCDDBEEDB, ABCDDBEEDC, ABCDDBEEDD, ABCDDBEEDE, ABCDDBEEDF, ABCDDBEEEA, ABCDDBEEEB, ABCDDBEEEC, ABCDDBEEED, ABCDDBEEEE, ABCDDBEEEF, ABCDDBEEFA, ABCDDBEEFB, ABCDDBEEFC, ABCDDBEEFD, ABCDDBEEFE, ABCDDBEEFF, ABCDDBEEFG, ABCDDBEFAA, ABCDDBEFAB, ABCDDBEFAC, ABCDDBEFAD, ABCDDBEFAE, ABCDDBEFAF, ABCDDBEFAG, ABCDDBEFBA, ABCDDBEFBB, ABCDDBEFBC, ABCDDBEFBD, ABCDDBEFBE, ABCDDBEFBF, ABCDDBEFBG, ABCDDBEFCA, ABCDDBEFCB, ABCDDBEFCC, ABCDDBEFCD, ABCDDBEFCE, ABCDDBEFCF, ABCDDBEFCG, ABCDDBEFDA, ABCDDBEFDB, ABCDDBEFDC, ABCDDBEFDD, ABCDDBEFDE, ABCDDBEFDF, ABCDDBEFDG, ABCDDBEFEA, ABCDDBEFEB, ABCDDBEFEC, ABCDDBEFED, ABCDDBEFEE, ABCDDBEFEF, ABCDDBEFEG, ABCDDBEFFA, ABCDDBEFFB, ABCDDBEFFC, ABCDDBEFFD, ABCDDBEFFE, ABCDDBEFFF, ABCDDBEFFG, ABCDDBEFGA, ABCDDBEFGB, ABCDDBEFGC, ABCDDBEFGD, ABCDDBEFGE, ABCDDBEFGF, ABCDDBEFGG, ABCDDBEFGH, ABCDDCAAAA, ABCDDCAAAB, ABCDDCAAAC, ABCDDCAAAD, ABCDDCAAAE, ABCDDCAABA, ABCDDCAABB, ABCDDCAABC, ABCDDCAABD, ABCDDCAABE, ABCDDCAACA, ABCDDCAACB, ABCDDCAACC, ABCDDCAACD, ABCDDCAACE, ABCDDCAADA, ABCDDCAADB, ABCDDCAADC, ABCDDCAADD, ABCDDCAADE, ABCDDCAAEA, ABCDDCAAEB, ABCDDCAAEC, ABCDDCAAED, ABCDDCAAEE, ABCDDCAAEF, ABCDDCABAA, ABCDDCABAB, ABCDDCABAC, ABCDDCABAD, ABCDDCABAE, ABCDDCABBA, ABCDDCABBB, ABCDDCABBC, ABCDDCABBD, ABCDDCABBE, ABCDDCABCA, ABCDDCABCB, ABCDDCABCC, ABCDDCABCD, ABCDDCABCE, ABCDDCABDA, ABCDDCABDB, ABCDDCABDC, ABCDDCABDD, ABCDDCABDE, ABCDDCABEA, ABCDDCABEB, ABCDDCABEC, ABCDDCABED, ABCDDCABEE, ABCDDCABEF, ABCDDCACAA, ABCDDCACAB, ABCDDCACAC, ABCDDCACAD, ABCDDCACAE, ABCDDCACBA, ABCDDCACBB, ABCDDCACBC, ABCDDCACBD, ABCDDCACBE, ABCDDCACCA, ABCDDCACCB, ABCDDCACCC, ABCDDCACCD, ABCDDCACCE, ABCDDCACDA, ABCDDCACDB, ABCDDCACDC, ABCDDCACDD, ABCDDCACDE, ABCDDCACEA, ABCDDCACEB, ABCDDCACEC, ABCDDCACED, ABCDDCACEE, ABCDDCACEF, ABCDDCADAA, ABCDDCADAB, ABCDDCADAC, ABCDDCADAD, ABCDDCADAE, ABCDDCADBA, ABCDDCADBB, ABCDDCADBC, ABCDDCADBD, ABCDDCADBE, ABCDDCADCA, ABCDDCADCB, ABCDDCADCC, ABCDDCADCD, ABCDDCADCE, ABCDDCADDA, ABCDDCADDB, ABCDDCADDC, ABCDDCADDD, ABCDDCADDE, ABCDDCADEA, ABCDDCADEB, ABCDDCADEC, ABCDDCADED, ABCDDCADEE, ABCDDCADEF, ABCDDCAEAA, ABCDDCAEAB, ABCDDCAEAC, ABCDDCAEAD, ABCDDCAEAE, ABCDDCAEAF, ABCDDCAEBA, ABCDDCAEBB, ABCDDCAEBC, ABCDDCAEBD, ABCDDCAEBE, ABCDDCAEBF, ABCDDCAECA, ABCDDCAECB, ABCDDCAECC, ABCDDCAECD, ABCDDCAECE, ABCDDCAECF, ABCDDCAEDA, ABCDDCAEDB, ABCDDCAEDC, ABCDDCAEDD, ABCDDCAEDE, ABCDDCAEDF, ABCDDCAEEA, ABCDDCAEEB, ABCDDCAEEC, ABCDDCAEED, ABCDDCAEEE, ABCDDCAEEF, ABCDDCAEFA, ABCDDCAEFB, ABCDDCAEFC, ABCDDCAEFD, ABCDDCAEFE, ABCDDCAEFF, ABCDDCAEFG, ABCDDCBAAA, ABCDDCBAAB, ABCDDCBAAC, ABCDDCBAAD, ABCDDCBAAE, ABCDDCBABA, ABCDDCBABB, ABCDDCBABC, ABCDDCBABD, ABCDDCBABE, ABCDDCBACA, ABCDDCBACB, ABCDDCBACC, ABCDDCBACD, ABCDDCBACE, ABCDDCBADA, ABCDDCBADB, ABCDDCBADC, ABCDDCBADD, ABCDDCBADE, ABCDDCBAEA, ABCDDCBAEB, ABCDDCBAEC, ABCDDCBAED, ABCDDCBAEE, ABCDDCBAEF, ABCDDCBBAA, ABCDDCBBAB, ABCDDCBBAC, ABCDDCBBAD, ABCDDCBBAE, ABCDDCBBBA, ABCDDCBBBB, ABCDDCBBBC, ABCDDCBBBD, ABCDDCBBBE, ABCDDCBBCA, ABCDDCBBCB, ABCDDCBBCC, ABCDDCBBCD, ABCDDCBBCE, ABCDDCBBDA, ABCDDCBBDB, ABCDDCBBDC, ABCDDCBBDD, ABCDDCBBDE, ABCDDCBBEA, ABCDDCBBEB, ABCDDCBBEC, ABCDDCBBED, ABCDDCBBEE, ABCDDCBBEF, ABCDDCBCAA, ABCDDCBCAB, ABCDDCBCAC, ABCDDCBCAD, ABCDDCBCAE, ABCDDCBCBA, ABCDDCBCBB, ABCDDCBCBC, ABCDDCBCBD, ABCDDCBCBE, ABCDDCBCCA, ABCDDCBCCB, ABCDDCBCCC, ABCDDCBCCD, ABCDDCBCCE, ABCDDCBCDA, ABCDDCBCDB, ABCDDCBCDC, ABCDDCBCDD, ABCDDCBCDE, ABCDDCBCEA, ABCDDCBCEB, ABCDDCBCEC, ABCDDCBCED, ABCDDCBCEE, ABCDDCBCEF, ABCDDCBDAA, ABCDDCBDAB, ABCDDCBDAC, ABCDDCBDAD, ABCDDCBDAE, ABCDDCBDBA, ABCDDCBDBB, ABCDDCBDBC, ABCDDCBDBD, ABCDDCBDBE, ABCDDCBDCA, ABCDDCBDCB, ABCDDCBDCC, ABCDDCBDCD, ABCDDCBDCE, ABCDDCBDDA, ABCDDCBDDB, ABCDDCBDDC, ABCDDCBDDD, ABCDDCBDDE, ABCDDCBDEA, ABCDDCBDEB, ABCDDCBDEC, ABCDDCBDED, ABCDDCBDEE, ABCDDCBDEF, ABCDDCBEAA, ABCDDCBEAB, ABCDDCBEAC, ABCDDCBEAD, ABCDDCBEAE, ABCDDCBEAF, ABCDDCBEBA, ABCDDCBEBB, ABCDDCBEBC, ABCDDCBEBD, ABCDDCBEBE, ABCDDCBEBF, ABCDDCBECA, ABCDDCBECB, ABCDDCBECC, ABCDDCBECD, ABCDDCBECE, ABCDDCBECF, ABCDDCBEDA, ABCDDCBEDB, ABCDDCBEDC, ABCDDCBEDD, ABCDDCBEDE, ABCDDCBEDF, ABCDDCBEEA, ABCDDCBEEB, ABCDDCBEEC, ABCDDCBEED, ABCDDCBEEE, ABCDDCBEEF, ABCDDCBEFA, ABCDDCBEFB, ABCDDCBEFC, ABCDDCBEFD, ABCDDCBEFE, ABCDDCBEFF, ABCDDCBEFG, ABCDDCCAAA, ABCDDCCAAB, ABCDDCCAAC, ABCDDCCAAD, ABCDDCCAAE, ABCDDCCABA, ABCDDCCABB, ABCDDCCABC, ABCDDCCABD, ABCDDCCABE, ABCDDCCACA, ABCDDCCACB, ABCDDCCACC, ABCDDCCACD, ABCDDCCACE, ABCDDCCADA, ABCDDCCADB, ABCDDCCADC, ABCDDCCADD, ABCDDCCADE, ABCDDCCAEA, ABCDDCCAEB, ABCDDCCAEC, ABCDDCCAED, ABCDDCCAEE, ABCDDCCAEF, ABCDDCCBAA, ABCDDCCBAB, ABCDDCCBAC, ABCDDCCBAD, ABCDDCCBAE, ABCDDCCBBA, ABCDDCCBBB, ABCDDCCBBC, ABCDDCCBBD, ABCDDCCBBE, ABCDDCCBCA, ABCDDCCBCB, ABCDDCCBCC, ABCDDCCBCD, ABCDDCCBCE, ABCDDCCBDA, ABCDDCCBDB, ABCDDCCBDC, ABCDDCCBDD, ABCDDCCBDE, ABCDDCCBEA, ABCDDCCBEB, ABCDDCCBEC, ABCDDCCBED, ABCDDCCBEE, ABCDDCCBEF, ABCDDCCCAA, ABCDDCCCAB, ABCDDCCCAC, ABCDDCCCAD, ABCDDCCCAE, ABCDDCCCBA, ABCDDCCCBB, ABCDDCCCBC, ABCDDCCCBD, ABCDDCCCBE, ABCDDCCCCA, ABCDDCCCCB, ABCDDCCCCC, ABCDDCCCCD, ABCDDCCCCE, ABCDDCCCDA, ABCDDCCCDB, ABCDDCCCDC, ABCDDCCCDD, ABCDDCCCDE, ABCDDCCCEA, ABCDDCCCEB, ABCDDCCCEC, ABCDDCCCED, ABCDDCCCEE, ABCDDCCCEF, ABCDDCCDAA, ABCDDCCDAB, ABCDDCCDAC, ABCDDCCDAD, ABCDDCCDAE, ABCDDCCDBA, ABCDDCCDBB, ABCDDCCDBC, ABCDDCCDBD, ABCDDCCDBE, ABCDDCCDCA, ABCDDCCDCB, ABCDDCCDCC, ABCDDCCDCD, ABCDDCCDCE, ABCDDCCDDA, ABCDDCCDDB, ABCDDCCDDC, ABCDDCCDDD, ABCDDCCDDE, ABCDDCCDEA, ABCDDCCDEB, ABCDDCCDEC, ABCDDCCDED, ABCDDCCDEE, ABCDDCCDEF, ABCDDCCEAA, ABCDDCCEAB, ABCDDCCEAC, ABCDDCCEAD, ABCDDCCEAE, ABCDDCCEAF, ABCDDCCEBA, ABCDDCCEBB, ABCDDCCEBC, ABCDDCCEBD, ABCDDCCEBE, ABCDDCCEBF, ABCDDCCECA, ABCDDCCECB, ABCDDCCECC, ABCDDCCECD, ABCDDCCECE, ABCDDCCECF, ABCDDCCEDA, ABCDDCCEDB, ABCDDCCEDC, ABCDDCCEDD, ABCDDCCEDE, ABCDDCCEDF, ABCDDCCEEA, ABCDDCCEEB, ABCDDCCEEC, ABCDDCCEED, ABCDDCCEEE, ABCDDCCEEF, ABCDDCCEFA, ABCDDCCEFB, ABCDDCCEFC, ABCDDCCEFD, ABCDDCCEFE, ABCDDCCEFF, ABCDDCCEFG, ABCDDCDAAA, ABCDDCDAAB, ABCDDCDAAC, ABCDDCDAAD, ABCDDCDAAE, ABCDDCDABA, ABCDDCDABB, ABCDDCDABC, ABCDDCDABD, ABCDDCDABE, ABCDDCDACA, ABCDDCDACB, ABCDDCDACC, ABCDDCDACD, ABCDDCDACE, ABCDDCDADA, ABCDDCDADB, ABCDDCDADC, ABCDDCDADD, ABCDDCDADE, ABCDDCDAEA, ABCDDCDAEB, ABCDDCDAEC, ABCDDCDAED, ABCDDCDAEE, ABCDDCDAEF, ABCDDCDBAA, ABCDDCDBAB, ABCDDCDBAC, ABCDDCDBAD, ABCDDCDBAE, ABCDDCDBBA, ABCDDCDBBB, ABCDDCDBBC, ABCDDCDBBD, ABCDDCDBBE, ABCDDCDBCA, ABCDDCDBCB, ABCDDCDBCC, ABCDDCDBCD, ABCDDCDBCE, ABCDDCDBDA, ABCDDCDBDB, ABCDDCDBDC, ABCDDCDBDD, ABCDDCDBDE, ABCDDCDBEA, ABCDDCDBEB, ABCDDCDBEC, ABCDDCDBED, ABCDDCDBEE, ABCDDCDBEF, ABCDDCDCAA, ABCDDCDCAB, ABCDDCDCAC, ABCDDCDCAD, ABCDDCDCAE, ABCDDCDCBA, ABCDDCDCBB, ABCDDCDCBC, ABCDDCDCBD, ABCDDCDCBE, ABCDDCDCCA, ABCDDCDCCB, ABCDDCDCCC, ABCDDCDCCD, ABCDDCDCCE, ABCDDCDCDA, ABCDDCDCDB, ABCDDCDCDC, ABCDDCDCDD, ABCDDCDCDE, ABCDDCDCEA, ABCDDCDCEB, ABCDDCDCEC, ABCDDCDCED, ABCDDCDCEE, ABCDDCDCEF, ABCDDCDDAA, ABCDDCDDAB, ABCDDCDDAC, ABCDDCDDAD, ABCDDCDDAE, ABCDDCDDBA, ABCDDCDDBB, ABCDDCDDBC, ABCDDCDDBD, ABCDDCDDBE, ABCDDCDDCA, ABCDDCDDCB, ABCDDCDDCC, ABCDDCDDCD, ABCDDCDDCE, ABCDDCDDDA, ABCDDCDDDB, ABCDDCDDDC, ABCDDCDDDD, ABCDDCDDDE, ABCDDCDDEA, ABCDDCDDEB, ABCDDCDDEC, ABCDDCDDED, ABCDDCDDEE, ABCDDCDDEF, ABCDDCDEAA, ABCDDCDEAB, ABCDDCDEAC, ABCDDCDEAD, ABCDDCDEAE, ABCDDCDEAF, ABCDDCDEBA, ABCDDCDEBB, ABCDDCDEBC, ABCDDCDEBD, ABCDDCDEBE, ABCDDCDEBF, ABCDDCDECA, ABCDDCDECB, ABCDDCDECC, ABCDDCDECD, ABCDDCDECE, ABCDDCDECF, ABCDDCDEDA, ABCDDCDEDB, ABCDDCDEDC, ABCDDCDEDD, ABCDDCDEDE, ABCDDCDEDF, ABCDDCDEEA, ABCDDCDEEB, ABCDDCDEEC, ABCDDCDEED, ABCDDCDEEE, ABCDDCDEEF, ABCDDCDEFA, ABCDDCDEFB, ABCDDCDEFC, ABCDDCDEFD, ABCDDCDEFE, ABCDDCDEFF, ABCDDCDEFG, ABCDDCEAAA, ABCDDCEAAB, ABCDDCEAAC, ABCDDCEAAD, ABCDDCEAAE, ABCDDCEAAF, ABCDDCEABA, ABCDDCEABB, ABCDDCEABC, ABCDDCEABD, ABCDDCEABE, ABCDDCEABF, ABCDDCEACA, ABCDDCEACB, ABCDDCEACC, ABCDDCEACD, ABCDDCEACE, ABCDDCEACF, ABCDDCEADA, ABCDDCEADB, ABCDDCEADC, ABCDDCEADD, ABCDDCEADE, ABCDDCEADF, ABCDDCEAEA, ABCDDCEAEB, ABCDDCEAEC, ABCDDCEAED, ABCDDCEAEE, ABCDDCEAEF, ABCDDCEAFA, ABCDDCEAFB, ABCDDCEAFC, ABCDDCEAFD, ABCDDCEAFE, ABCDDCEAFF, ABCDDCEAFG, ABCDDCEBAA, ABCDDCEBAB, ABCDDCEBAC, ABCDDCEBAD, ABCDDCEBAE, ABCDDCEBAF, ABCDDCEBBA, ABCDDCEBBB, ABCDDCEBBC, ABCDDCEBBD, ABCDDCEBBE, ABCDDCEBBF, ABCDDCEBCA, ABCDDCEBCB, ABCDDCEBCC, ABCDDCEBCD, ABCDDCEBCE, ABCDDCEBCF, ABCDDCEBDA, ABCDDCEBDB, ABCDDCEBDC, ABCDDCEBDD, ABCDDCEBDE, ABCDDCEBDF, ABCDDCEBEA, ABCDDCEBEB, ABCDDCEBEC, ABCDDCEBED, ABCDDCEBEE, ABCDDCEBEF, ABCDDCEBFA, ABCDDCEBFB, ABCDDCEBFC, ABCDDCEBFD, ABCDDCEBFE, ABCDDCEBFF, ABCDDCEBFG, ABCDDCECAA, ABCDDCECAB, ABCDDCECAC, ABCDDCECAD, ABCDDCECAE, ABCDDCECAF, ABCDDCECBA, ABCDDCECBB, ABCDDCECBC, ABCDDCECBD, ABCDDCECBE, ABCDDCECBF, ABCDDCECCA, ABCDDCECCB, ABCDDCECCC, ABCDDCECCD, ABCDDCECCE, ABCDDCECCF, ABCDDCECDA, ABCDDCECDB, ABCDDCECDC, ABCDDCECDD, ABCDDCECDE, ABCDDCECDF, ABCDDCECEA, ABCDDCECEB, ABCDDCECEC, ABCDDCECED, ABCDDCECEE, ABCDDCECEF, ABCDDCECFA, ABCDDCECFB, ABCDDCECFC, ABCDDCECFD, ABCDDCECFE, ABCDDCECFF, ABCDDCECFG, ABCDDCEDAA, ABCDDCEDAB, ABCDDCEDAC, ABCDDCEDAD, ABCDDCEDAE, ABCDDCEDAF, ABCDDCEDBA, ABCDDCEDBB, ABCDDCEDBC, ABCDDCEDBD, ABCDDCEDBE, ABCDDCEDBF, ABCDDCEDCA, ABCDDCEDCB, ABCDDCEDCC, ABCDDCEDCD, ABCDDCEDCE, ABCDDCEDCF, ABCDDCEDDA, ABCDDCEDDB, ABCDDCEDDC, ABCDDCEDDD, ABCDDCEDDE, ABCDDCEDDF, ABCDDCEDEA, ABCDDCEDEB, ABCDDCEDEC, ABCDDCEDED, ABCDDCEDEE, ABCDDCEDEF, ABCDDCEDFA, ABCDDCEDFB, ABCDDCEDFC, ABCDDCEDFD, ABCDDCEDFE, ABCDDCEDFF, ABCDDCEDFG, ABCDDCEEAA, ABCDDCEEAB, ABCDDCEEAC, ABCDDCEEAD, ABCDDCEEAE, ABCDDCEEAF, ABCDDCEEBA, ABCDDCEEBB, ABCDDCEEBC, ABCDDCEEBD, ABCDDCEEBE, ABCDDCEEBF, ABCDDCEECA, ABCDDCEECB, ABCDDCEECC, ABCDDCEECD, ABCDDCEECE, ABCDDCEECF, ABCDDCEEDA, ABCDDCEEDB, ABCDDCEEDC, ABCDDCEEDD, ABCDDCEEDE, ABCDDCEEDF, ABCDDCEEEA, ABCDDCEEEB, ABCDDCEEEC, ABCDDCEEED, ABCDDCEEEE, ABCDDCEEEF, ABCDDCEEFA, ABCDDCEEFB, ABCDDCEEFC, ABCDDCEEFD, ABCDDCEEFE, ABCDDCEEFF, ABCDDCEEFG, ABCDDCEFAA, ABCDDCEFAB, ABCDDCEFAC, ABCDDCEFAD, ABCDDCEFAE, ABCDDCEFAF, ABCDDCEFAG, ABCDDCEFBA, ABCDDCEFBB, ABCDDCEFBC, ABCDDCEFBD, ABCDDCEFBE, ABCDDCEFBF, ABCDDCEFBG, ABCDDCEFCA, ABCDDCEFCB, ABCDDCEFCC, ABCDDCEFCD, ABCDDCEFCE, ABCDDCEFCF, ABCDDCEFCG, ABCDDCEFDA, ABCDDCEFDB, ABCDDCEFDC, ABCDDCEFDD, ABCDDCEFDE, ABCDDCEFDF, ABCDDCEFDG, ABCDDCEFEA, ABCDDCEFEB, ABCDDCEFEC, ABCDDCEFED, ABCDDCEFEE, ABCDDCEFEF, ABCDDCEFEG, ABCDDCEFFA, ABCDDCEFFB, ABCDDCEFFC, ABCDDCEFFD, ABCDDCEFFE, ABCDDCEFFF, ABCDDCEFFG, ABCDDCEFGA, ABCDDCEFGB, ABCDDCEFGC, ABCDDCEFGD, ABCDDCEFGE, ABCDDCEFGF, ABCDDCEFGG, ABCDDCEFGH, ABCDDDAAAA, ABCDDDAAAB, ABCDDDAAAC, ABCDDDAAAD, ABCDDDAAAE, ABCDDDAABA, ABCDDDAABB, ABCDDDAABC, ABCDDDAABD, ABCDDDAABE, ABCDDDAACA, ABCDDDAACB, ABCDDDAACC, ABCDDDAACD, ABCDDDAACE, ABCDDDAADA, ABCDDDAADB, ABCDDDAADC, ABCDDDAADD, ABCDDDAADE, ABCDDDAAEA, ABCDDDAAEB, ABCDDDAAEC, ABCDDDAAED, ABCDDDAAEE, ABCDDDAAEF, ABCDDDABAA, ABCDDDABAB, ABCDDDABAC, ABCDDDABAD, ABCDDDABAE, ABCDDDABBA, ABCDDDABBB, ABCDDDABBC, ABCDDDABBD, ABCDDDABBE, ABCDDDABCA, ABCDDDABCB, ABCDDDABCC, ABCDDDABCD, ABCDDDABCE, ABCDDDABDA, ABCDDDABDB, ABCDDDABDC, ABCDDDABDD, ABCDDDABDE, ABCDDDABEA, ABCDDDABEB, ABCDDDABEC, ABCDDDABED, ABCDDDABEE, ABCDDDABEF, ABCDDDACAA, ABCDDDACAB, ABCDDDACAC, ABCDDDACAD, ABCDDDACAE, ABCDDDACBA, ABCDDDACBB, ABCDDDACBC, ABCDDDACBD, ABCDDDACBE, ABCDDDACCA, ABCDDDACCB, ABCDDDACCC, ABCDDDACCD, ABCDDDACCE, ABCDDDACDA, ABCDDDACDB, ABCDDDACDC, ABCDDDACDD, ABCDDDACDE, ABCDDDACEA, ABCDDDACEB, ABCDDDACEC, ABCDDDACED, ABCDDDACEE, ABCDDDACEF, ABCDDDADAA, ABCDDDADAB, ABCDDDADAC, ABCDDDADAD, ABCDDDADAE, ABCDDDADBA, ABCDDDADBB, ABCDDDADBC, ABCDDDADBD, ABCDDDADBE, ABCDDDADCA, ABCDDDADCB, ABCDDDADCC, ABCDDDADCD, ABCDDDADCE, ABCDDDADDA, ABCDDDADDB, ABCDDDADDC, ABCDDDADDD, ABCDDDADDE, ABCDDDADEA, ABCDDDADEB, ABCDDDADEC, ABCDDDADED, ABCDDDADEE, ABCDDDADEF, ABCDDDAEAA, ABCDDDAEAB, ABCDDDAEAC, ABCDDDAEAD, ABCDDDAEAE, ABCDDDAEAF, ABCDDDAEBA, ABCDDDAEBB, ABCDDDAEBC, ABCDDDAEBD, ABCDDDAEBE, ABCDDDAEBF, ABCDDDAECA, ABCDDDAECB, ABCDDDAECC, ABCDDDAECD, ABCDDDAECE, ABCDDDAECF, ABCDDDAEDA, ABCDDDAEDB, ABCDDDAEDC, ABCDDDAEDD, ABCDDDAEDE, ABCDDDAEDF, ABCDDDAEEA, ABCDDDAEEB, ABCDDDAEEC, ABCDDDAEED, ABCDDDAEEE, ABCDDDAEEF, ABCDDDAEFA, ABCDDDAEFB, ABCDDDAEFC, ABCDDDAEFD, ABCDDDAEFE, ABCDDDAEFF, ABCDDDAEFG, ABCDDDBAAA, ABCDDDBAAB, ABCDDDBAAC, ABCDDDBAAD, ABCDDDBAAE, ABCDDDBABA, ABCDDDBABB, ABCDDDBABC, ABCDDDBABD, ABCDDDBABE, ABCDDDBACA, ABCDDDBACB, ABCDDDBACC, ABCDDDBACD, ABCDDDBACE, ABCDDDBADA, ABCDDDBADB, ABCDDDBADC, ABCDDDBADD, ABCDDDBADE, ABCDDDBAEA, ABCDDDBAEB, ABCDDDBAEC, ABCDDDBAED, ABCDDDBAEE, ABCDDDBAEF, ABCDDDBBAA, ABCDDDBBAB, ABCDDDBBAC, ABCDDDBBAD, ABCDDDBBAE, ABCDDDBBBA, ABCDDDBBBB, ABCDDDBBBC, ABCDDDBBBD, ABCDDDBBBE, ABCDDDBBCA, ABCDDDBBCB, ABCDDDBBCC, ABCDDDBBCD, ABCDDDBBCE, ABCDDDBBDA, ABCDDDBBDB, ABCDDDBBDC, ABCDDDBBDD, ABCDDDBBDE, ABCDDDBBEA, ABCDDDBBEB, ABCDDDBBEC, ABCDDDBBED, ABCDDDBBEE, ABCDDDBBEF, ABCDDDBCAA, ABCDDDBCAB, ABCDDDBCAC, ABCDDDBCAD, ABCDDDBCAE, ABCDDDBCBA, ABCDDDBCBB, ABCDDDBCBC, ABCDDDBCBD, ABCDDDBCBE, ABCDDDBCCA, ABCDDDBCCB, ABCDDDBCCC, ABCDDDBCCD, ABCDDDBCCE, ABCDDDBCDA, ABCDDDBCDB, ABCDDDBCDC, ABCDDDBCDD, ABCDDDBCDE, ABCDDDBCEA, ABCDDDBCEB, ABCDDDBCEC, ABCDDDBCED, ABCDDDBCEE, ABCDDDBCEF, ABCDDDBDAA, ABCDDDBDAB, ABCDDDBDAC, ABCDDDBDAD, ABCDDDBDAE, ABCDDDBDBA, ABCDDDBDBB, ABCDDDBDBC, ABCDDDBDBD, ABCDDDBDBE, ABCDDDBDCA, ABCDDDBDCB, ABCDDDBDCC, ABCDDDBDCD, ABCDDDBDCE, ABCDDDBDDA, ABCDDDBDDB, ABCDDDBDDC, ABCDDDBDDD, ABCDDDBDDE, ABCDDDBDEA, ABCDDDBDEB, ABCDDDBDEC, ABCDDDBDED, ABCDDDBDEE, ABCDDDBDEF, ABCDDDBEAA, ABCDDDBEAB, ABCDDDBEAC, ABCDDDBEAD, ABCDDDBEAE, ABCDDDBEAF, ABCDDDBEBA, ABCDDDBEBB, ABCDDDBEBC, ABCDDDBEBD, ABCDDDBEBE, ABCDDDBEBF, ABCDDDBECA, ABCDDDBECB, ABCDDDBECC, ABCDDDBECD, ABCDDDBECE, ABCDDDBECF, ABCDDDBEDA, ABCDDDBEDB, ABCDDDBEDC, ABCDDDBEDD, ABCDDDBEDE, ABCDDDBEDF, ABCDDDBEEA, ABCDDDBEEB, ABCDDDBEEC, ABCDDDBEED, ABCDDDBEEE, ABCDDDBEEF, ABCDDDBEFA, ABCDDDBEFB, ABCDDDBEFC, ABCDDDBEFD, ABCDDDBEFE, ABCDDDBEFF, ABCDDDBEFG, ABCDDDCAAA, ABCDDDCAAB, ABCDDDCAAC, ABCDDDCAAD, ABCDDDCAAE, ABCDDDCABA, ABCDDDCABB, ABCDDDCABC, ABCDDDCABD, ABCDDDCABE, ABCDDDCACA, ABCDDDCACB, ABCDDDCACC, ABCDDDCACD, ABCDDDCACE, ABCDDDCADA, ABCDDDCADB, ABCDDDCADC, ABCDDDCADD, ABCDDDCADE, ABCDDDCAEA, ABCDDDCAEB, ABCDDDCAEC, ABCDDDCAED, ABCDDDCAEE, ABCDDDCAEF, ABCDDDCBAA, ABCDDDCBAB, ABCDDDCBAC, ABCDDDCBAD, ABCDDDCBAE, ABCDDDCBBA, ABCDDDCBBB, ABCDDDCBBC, ABCDDDCBBD, ABCDDDCBBE, ABCDDDCBCA, ABCDDDCBCB, ABCDDDCBCC, ABCDDDCBCD, ABCDDDCBCE, ABCDDDCBDA, ABCDDDCBDB, ABCDDDCBDC, ABCDDDCBDD, ABCDDDCBDE, ABCDDDCBEA, ABCDDDCBEB, ABCDDDCBEC, ABCDDDCBED, ABCDDDCBEE, ABCDDDCBEF, ABCDDDCCAA, ABCDDDCCAB, ABCDDDCCAC, ABCDDDCCAD, ABCDDDCCAE, ABCDDDCCBA, ABCDDDCCBB, ABCDDDCCBC, ABCDDDCCBD, ABCDDDCCBE, ABCDDDCCCA, ABCDDDCCCB, ABCDDDCCCC, ABCDDDCCCD, ABCDDDCCCE, ABCDDDCCDA, ABCDDDCCDB, ABCDDDCCDC, ABCDDDCCDD, ABCDDDCCDE, ABCDDDCCEA, ABCDDDCCEB, ABCDDDCCEC, ABCDDDCCED, ABCDDDCCEE, ABCDDDCCEF, ABCDDDCDAA, ABCDDDCDAB, ABCDDDCDAC, ABCDDDCDAD, ABCDDDCDAE, ABCDDDCDBA, ABCDDDCDBB, ABCDDDCDBC, ABCDDDCDBD, ABCDDDCDBE, ABCDDDCDCA, ABCDDDCDCB, ABCDDDCDCC, ABCDDDCDCD, ABCDDDCDCE, ABCDDDCDDA, ABCDDDCDDB, ABCDDDCDDC, ABCDDDCDDD, ABCDDDCDDE, ABCDDDCDEA, ABCDDDCDEB, ABCDDDCDEC, ABCDDDCDED, ABCDDDCDEE, ABCDDDCDEF, ABCDDDCEAA, ABCDDDCEAB, ABCDDDCEAC, ABCDDDCEAD, ABCDDDCEAE, ABCDDDCEAF, ABCDDDCEBA, ABCDDDCEBB, ABCDDDCEBC, ABCDDDCEBD, ABCDDDCEBE, ABCDDDCEBF, ABCDDDCECA, ABCDDDCECB, ABCDDDCECC, ABCDDDCECD, ABCDDDCECE, ABCDDDCECF, ABCDDDCEDA, ABCDDDCEDB, ABCDDDCEDC, ABCDDDCEDD, ABCDDDCEDE, ABCDDDCEDF, ABCDDDCEEA, ABCDDDCEEB, ABCDDDCEEC, ABCDDDCEED, ABCDDDCEEE, ABCDDDCEEF, ABCDDDCEFA, ABCDDDCEFB, ABCDDDCEFC, ABCDDDCEFD, ABCDDDCEFE, ABCDDDCEFF, ABCDDDCEFG, ABCDDDDAAA, ABCDDDDAAB, ABCDDDDAAC, ABCDDDDAAD, ABCDDDDAAE, ABCDDDDABA, ABCDDDDABB, ABCDDDDABC, ABCDDDDABD, ABCDDDDABE, ABCDDDDACA, ABCDDDDACB, ABCDDDDACC, ABCDDDDACD, ABCDDDDACE, ABCDDDDADA, ABCDDDDADB, ABCDDDDADC, ABCDDDDADD, ABCDDDDADE, ABCDDDDAEA, ABCDDDDAEB, ABCDDDDAEC, ABCDDDDAED, ABCDDDDAEE, ABCDDDDAEF, ABCDDDDBAA, ABCDDDDBAB, ABCDDDDBAC, ABCDDDDBAD, ABCDDDDBAE, ABCDDDDBBA, ABCDDDDBBB, ABCDDDDBBC, ABCDDDDBBD, ABCDDDDBBE, ABCDDDDBCA, ABCDDDDBCB, ABCDDDDBCC, ABCDDDDBCD, ABCDDDDBCE, ABCDDDDBDA, ABCDDDDBDB, ABCDDDDBDC, ABCDDDDBDD, ABCDDDDBDE, ABCDDDDBEA, ABCDDDDBEB, ABCDDDDBEC, ABCDDDDBED, ABCDDDDBEE, ABCDDDDBEF, ABCDDDDCAA, ABCDDDDCAB, ABCDDDDCAC, ABCDDDDCAD, ABCDDDDCAE, ABCDDDDCBA, ABCDDDDCBB, ABCDDDDCBC, ABCDDDDCBD, ABCDDDDCBE, ABCDDDDCCA, ABCDDDDCCB, ABCDDDDCCC, ABCDDDDCCD, ABCDDDDCCE, ABCDDDDCDA, ABCDDDDCDB, ABCDDDDCDC, ABCDDDDCDD, ABCDDDDCDE, ABCDDDDCEA, ABCDDDDCEB, ABCDDDDCEC, ABCDDDDCED, ABCDDDDCEE, ABCDDDDCEF, ABCDDDDDAA, ABCDDDDDAB, ABCDDDDDAC, ABCDDDDDAD, ABCDDDDDAE, ABCDDDDDBA, ABCDDDDDBB, ABCDDDDDBC, ABCDDDDDBD, ABCDDDDDBE, ABCDDDDDCA, ABCDDDDDCB, ABCDDDDDCC, ABCDDDDDCD, ABCDDDDDCE, ABCDDDDDDA, ABCDDDDDDB, ABCDDDDDDC, ABCDDDDDDD, ABCDDDDDDE, ABCDDDDDEA, ABCDDDDDEB, ABCDDDDDEC, ABCDDDDDED, ABCDDDDDEE, ABCDDDDDEF, ABCDDDDEAA, ABCDDDDEAB, ABCDDDDEAC, ABCDDDDEAD, ABCDDDDEAE, ABCDDDDEAF, ABCDDDDEBA, ABCDDDDEBB, ABCDDDDEBC, ABCDDDDEBD, ABCDDDDEBE, ABCDDDDEBF, ABCDDDDECA, ABCDDDDECB, ABCDDDDECC, ABCDDDDECD, ABCDDDDECE, ABCDDDDECF, ABCDDDDEDA, ABCDDDDEDB, ABCDDDDEDC, ABCDDDDEDD, ABCDDDDEDE, ABCDDDDEDF, ABCDDDDEEA, ABCDDDDEEB, ABCDDDDEEC, ABCDDDDEED, ABCDDDDEEE, ABCDDDDEEF, ABCDDDDEFA, ABCDDDDEFB, ABCDDDDEFC, ABCDDDDEFD, ABCDDDDEFE, ABCDDDDEFF, ABCDDDDEFG, ABCDDDEAAA, ABCDDDEAAB, ABCDDDEAAC, ABCDDDEAAD, ABCDDDEAAE, ABCDDDEAAF, ABCDDDEABA, ABCDDDEABB, ABCDDDEABC, ABCDDDEABD, ABCDDDEABE, ABCDDDEABF, ABCDDDEACA, ABCDDDEACB, ABCDDDEACC, ABCDDDEACD, ABCDDDEACE, ABCDDDEACF, ABCDDDEADA, ABCDDDEADB, ABCDDDEADC, ABCDDDEADD, ABCDDDEADE, ABCDDDEADF, ABCDDDEAEA, ABCDDDEAEB, ABCDDDEAEC, ABCDDDEAED, ABCDDDEAEE, ABCDDDEAEF, ABCDDDEAFA, ABCDDDEAFB, ABCDDDEAFC, ABCDDDEAFD, ABCDDDEAFE, ABCDDDEAFF, ABCDDDEAFG, ABCDDDEBAA, ABCDDDEBAB, ABCDDDEBAC, ABCDDDEBAD, ABCDDDEBAE, ABCDDDEBAF, ABCDDDEBBA, ABCDDDEBBB, ABCDDDEBBC, ABCDDDEBBD, ABCDDDEBBE, ABCDDDEBBF, ABCDDDEBCA, ABCDDDEBCB, ABCDDDEBCC, ABCDDDEBCD, ABCDDDEBCE, ABCDDDEBCF, ABCDDDEBDA, ABCDDDEBDB, ABCDDDEBDC, ABCDDDEBDD, ABCDDDEBDE, ABCDDDEBDF, ABCDDDEBEA, ABCDDDEBEB, ABCDDDEBEC, ABCDDDEBED, ABCDDDEBEE, ABCDDDEBEF, ABCDDDEBFA, ABCDDDEBFB, ABCDDDEBFC, ABCDDDEBFD, ABCDDDEBFE, ABCDDDEBFF, ABCDDDEBFG, ABCDDDECAA, ABCDDDECAB, ABCDDDECAC, ABCDDDECAD, ABCDDDECAE, ABCDDDECAF, ABCDDDECBA, ABCDDDECBB, ABCDDDECBC, ABCDDDECBD, ABCDDDECBE, ABCDDDECBF, ABCDDDECCA, ABCDDDECCB, ABCDDDECCC, ABCDDDECCD, ABCDDDECCE, ABCDDDECCF, ABCDDDECDA, ABCDDDECDB, ABCDDDECDC, ABCDDDECDD, ABCDDDECDE, ABCDDDECDF, ABCDDDECEA, ABCDDDECEB, ABCDDDECEC, ABCDDDECED, ABCDDDECEE, ABCDDDECEF, ABCDDDECFA, ABCDDDECFB, ABCDDDECFC, ABCDDDECFD, ABCDDDECFE, ABCDDDECFF, ABCDDDECFG, ABCDDDEDAA, ABCDDDEDAB, ABCDDDEDAC, ABCDDDEDAD, ABCDDDEDAE, ABCDDDEDAF, ABCDDDEDBA, ABCDDDEDBB, ABCDDDEDBC, ABCDDDEDBD, ABCDDDEDBE, ABCDDDEDBF, ABCDDDEDCA, ABCDDDEDCB, ABCDDDEDCC, ABCDDDEDCD, ABCDDDEDCE, ABCDDDEDCF, ABCDDDEDDA, ABCDDDEDDB, ABCDDDEDDC, ABCDDDEDDD, ABCDDDEDDE, ABCDDDEDDF, ABCDDDEDEA, ABCDDDEDEB, ABCDDDEDEC, ABCDDDEDED, ABCDDDEDEE, ABCDDDEDEF, ABCDDDEDFA, ABCDDDEDFB, ABCDDDEDFC, ABCDDDEDFD, ABCDDDEDFE, ABCDDDEDFF, ABCDDDEDFG, ABCDDDEEAA, ABCDDDEEAB, ABCDDDEEAC, ABCDDDEEAD, ABCDDDEEAE, ABCDDDEEAF, ABCDDDEEBA, ABCDDDEEBB, ABCDDDEEBC, ABCDDDEEBD, ABCDDDEEBE, ABCDDDEEBF, ABCDDDEECA, ABCDDDEECB, ABCDDDEECC, ABCDDDEECD, ABCDDDEECE, ABCDDDEECF, ABCDDDEEDA, ABCDDDEEDB, ABCDDDEEDC, ABCDDDEEDD, ABCDDDEEDE, ABCDDDEEDF, ABCDDDEEEA, ABCDDDEEEB, ABCDDDEEEC, ABCDDDEEED, ABCDDDEEEE, ABCDDDEEEF, ABCDDDEEFA, ABCDDDEEFB, ABCDDDEEFC, ABCDDDEEFD, ABCDDDEEFE, ABCDDDEEFF, ABCDDDEEFG, ABCDDDEFAA, ABCDDDEFAB, ABCDDDEFAC, ABCDDDEFAD, ABCDDDEFAE, ABCDDDEFAF, ABCDDDEFAG, ABCDDDEFBA, ABCDDDEFBB, ABCDDDEFBC, ABCDDDEFBD, ABCDDDEFBE, ABCDDDEFBF, ABCDDDEFBG, ABCDDDEFCA, ABCDDDEFCB, ABCDDDEFCC, ABCDDDEFCD, ABCDDDEFCE, ABCDDDEFCF, ABCDDDEFCG, ABCDDDEFDA, ABCDDDEFDB, ABCDDDEFDC, ABCDDDEFDD, ABCDDDEFDE, ABCDDDEFDF, ABCDDDEFDG, ABCDDDEFEA, ABCDDDEFEB, ABCDDDEFEC, ABCDDDEFED, ABCDDDEFEE, ABCDDDEFEF, ABCDDDEFEG, ABCDDDEFFA, ABCDDDEFFB, ABCDDDEFFC, ABCDDDEFFD, ABCDDDEFFE, ABCDDDEFFF, ABCDDDEFFG, ABCDDDEFGA, ABCDDDEFGB, ABCDDDEFGC, ABCDDDEFGD, ABCDDDEFGE, ABCDDDEFGF, ABCDDDEFGG, ABCDDDEFGH, ABCDDEAAAA, ABCDDEAAAB, ABCDDEAAAC, ABCDDEAAAD, ABCDDEAAAE, ABCDDEAAAF, ABCDDEAABA, ABCDDEAABB, ABCDDEAABC, ABCDDEAABD, ABCDDEAABE, ABCDDEAABF, ABCDDEAACA, ABCDDEAACB, ABCDDEAACC, ABCDDEAACD, ABCDDEAACE, ABCDDEAACF, ABCDDEAADA, ABCDDEAADB, ABCDDEAADC, ABCDDEAADD, ABCDDEAADE, ABCDDEAADF, ABCDDEAAEA, ABCDDEAAEB, ABCDDEAAEC, ABCDDEAAED, ABCDDEAAEE, ABCDDEAAEF, ABCDDEAAFA, ABCDDEAAFB, ABCDDEAAFC, ABCDDEAAFD, ABCDDEAAFE, ABCDDEAAFF, ABCDDEAAFG, ABCDDEABAA, ABCDDEABAB, ABCDDEABAC, ABCDDEABAD, ABCDDEABAE, ABCDDEABAF, ABCDDEABBA, ABCDDEABBB, ABCDDEABBC, ABCDDEABBD, ABCDDEABBE, ABCDDEABBF, ABCDDEABCA, ABCDDEABCB, ABCDDEABCC, ABCDDEABCD, ABCDDEABCE, ABCDDEABCF, ABCDDEABDA, ABCDDEABDB, ABCDDEABDC, ABCDDEABDD, ABCDDEABDE, ABCDDEABDF, ABCDDEABEA, ABCDDEABEB, ABCDDEABEC, ABCDDEABED, ABCDDEABEE, ABCDDEABEF, ABCDDEABFA, ABCDDEABFB, ABCDDEABFC, ABCDDEABFD, ABCDDEABFE, ABCDDEABFF, ABCDDEABFG, ABCDDEACAA, ABCDDEACAB, ABCDDEACAC, ABCDDEACAD, ABCDDEACAE, ABCDDEACAF, ABCDDEACBA, ABCDDEACBB, ABCDDEACBC, ABCDDEACBD, ABCDDEACBE, ABCDDEACBF, ABCDDEACCA, ABCDDEACCB, ABCDDEACCC, ABCDDEACCD, ABCDDEACCE, ABCDDEACCF, ABCDDEACDA, ABCDDEACDB, ABCDDEACDC, ABCDDEACDD, ABCDDEACDE, ABCDDEACDF, ABCDDEACEA, ABCDDEACEB, ABCDDEACEC, ABCDDEACED, ABCDDEACEE, ABCDDEACEF, ABCDDEACFA, ABCDDEACFB, ABCDDEACFC, ABCDDEACFD, ABCDDEACFE, ABCDDEACFF, ABCDDEACFG, ABCDDEADAA, ABCDDEADAB, ABCDDEADAC, ABCDDEADAD, ABCDDEADAE, ABCDDEADAF, ABCDDEADBA, ABCDDEADBB, ABCDDEADBC, ABCDDEADBD, ABCDDEADBE, ABCDDEADBF, ABCDDEADCA, ABCDDEADCB, ABCDDEADCC, ABCDDEADCD, ABCDDEADCE, ABCDDEADCF, ABCDDEADDA, ABCDDEADDB, ABCDDEADDC, ABCDDEADDD, ABCDDEADDE, ABCDDEADDF, ABCDDEADEA, ABCDDEADEB, ABCDDEADEC, ABCDDEADED, ABCDDEADEE, ABCDDEADEF, ABCDDEADFA, ABCDDEADFB, ABCDDEADFC, ABCDDEADFD, ABCDDEADFE, ABCDDEADFF, ABCDDEADFG, ABCDDEAEAA, ABCDDEAEAB, ABCDDEAEAC, ABCDDEAEAD, ABCDDEAEAE, ABCDDEAEAF, ABCDDEAEBA, ABCDDEAEBB, ABCDDEAEBC, ABCDDEAEBD, ABCDDEAEBE, ABCDDEAEBF, ABCDDEAECA, ABCDDEAECB, ABCDDEAECC, ABCDDEAECD, ABCDDEAECE, ABCDDEAECF, ABCDDEAEDA, ABCDDEAEDB, ABCDDEAEDC, ABCDDEAEDD, ABCDDEAEDE, ABCDDEAEDF, ABCDDEAEEA, ABCDDEAEEB, ABCDDEAEEC, ABCDDEAEED, ABCDDEAEEE, ABCDDEAEEF, ABCDDEAEFA, ABCDDEAEFB, ABCDDEAEFC, ABCDDEAEFD, ABCDDEAEFE, ABCDDEAEFF, ABCDDEAEFG, ABCDDEAFAA, ABCDDEAFAB, ABCDDEAFAC, ABCDDEAFAD, ABCDDEAFAE, ABCDDEAFAF, ABCDDEAFAG, ABCDDEAFBA, ABCDDEAFBB, ABCDDEAFBC, ABCDDEAFBD, ABCDDEAFBE, ABCDDEAFBF, ABCDDEAFBG, ABCDDEAFCA, ABCDDEAFCB, ABCDDEAFCC, ABCDDEAFCD, ABCDDEAFCE, ABCDDEAFCF, ABCDDEAFCG, ABCDDEAFDA, ABCDDEAFDB, ABCDDEAFDC, ABCDDEAFDD, ABCDDEAFDE, ABCDDEAFDF, ABCDDEAFDG, ABCDDEAFEA, ABCDDEAFEB, ABCDDEAFEC, ABCDDEAFED, ABCDDEAFEE, ABCDDEAFEF, ABCDDEAFEG, ABCDDEAFFA, ABCDDEAFFB, ABCDDEAFFC, ABCDDEAFFD, ABCDDEAFFE, ABCDDEAFFF, ABCDDEAFFG, ABCDDEAFGA, ABCDDEAFGB, ABCDDEAFGC, ABCDDEAFGD, ABCDDEAFGE, ABCDDEAFGF, ABCDDEAFGG, ABCDDEAFGH, ABCDDEBAAA, ABCDDEBAAB, ABCDDEBAAC, ABCDDEBAAD, ABCDDEBAAE, ABCDDEBAAF, ABCDDEBABA, ABCDDEBABB, ABCDDEBABC, ABCDDEBABD, ABCDDEBABE, ABCDDEBABF, ABCDDEBACA, ABCDDEBACB, ABCDDEBACC, ABCDDEBACD, ABCDDEBACE, ABCDDEBACF, ABCDDEBADA, ABCDDEBADB, ABCDDEBADC, ABCDDEBADD, ABCDDEBADE, ABCDDEBADF, ABCDDEBAEA, ABCDDEBAEB, ABCDDEBAEC, ABCDDEBAED, ABCDDEBAEE, ABCDDEBAEF, ABCDDEBAFA, ABCDDEBAFB, ABCDDEBAFC, ABCDDEBAFD, ABCDDEBAFE, ABCDDEBAFF, ABCDDEBAFG, ABCDDEBBAA, ABCDDEBBAB, ABCDDEBBAC, ABCDDEBBAD, ABCDDEBBAE, ABCDDEBBAF, ABCDDEBBBA, ABCDDEBBBB, ABCDDEBBBC, ABCDDEBBBD, ABCDDEBBBE, ABCDDEBBBF, ABCDDEBBCA, ABCDDEBBCB, ABCDDEBBCC, ABCDDEBBCD, ABCDDEBBCE, ABCDDEBBCF, ABCDDEBBDA, ABCDDEBBDB, ABCDDEBBDC, ABCDDEBBDD, ABCDDEBBDE, ABCDDEBBDF, ABCDDEBBEA, ABCDDEBBEB, ABCDDEBBEC, ABCDDEBBED, ABCDDEBBEE, ABCDDEBBEF, ABCDDEBBFA, ABCDDEBBFB, ABCDDEBBFC, ABCDDEBBFD, ABCDDEBBFE, ABCDDEBBFF, ABCDDEBBFG, ABCDDEBCAA, ABCDDEBCAB, ABCDDEBCAC, ABCDDEBCAD, ABCDDEBCAE, ABCDDEBCAF, ABCDDEBCBA, ABCDDEBCBB, ABCDDEBCBC, ABCDDEBCBD, ABCDDEBCBE, ABCDDEBCBF, ABCDDEBCCA, ABCDDEBCCB, ABCDDEBCCC, ABCDDEBCCD, ABCDDEBCCE, ABCDDEBCCF, ABCDDEBCDA, ABCDDEBCDB, ABCDDEBCDC, ABCDDEBCDD, ABCDDEBCDE, ABCDDEBCDF, ABCDDEBCEA, ABCDDEBCEB, ABCDDEBCEC, ABCDDEBCED, ABCDDEBCEE, ABCDDEBCEF, ABCDDEBCFA, ABCDDEBCFB, ABCDDEBCFC, ABCDDEBCFD, ABCDDEBCFE, ABCDDEBCFF, ABCDDEBCFG, ABCDDEBDAA, ABCDDEBDAB, ABCDDEBDAC, ABCDDEBDAD, ABCDDEBDAE, ABCDDEBDAF, ABCDDEBDBA, ABCDDEBDBB, ABCDDEBDBC, ABCDDEBDBD, ABCDDEBDBE, ABCDDEBDBF, ABCDDEBDCA, ABCDDEBDCB, ABCDDEBDCC, ABCDDEBDCD, ABCDDEBDCE, ABCDDEBDCF, ABCDDEBDDA, ABCDDEBDDB, ABCDDEBDDC, ABCDDEBDDD, ABCDDEBDDE, ABCDDEBDDF, ABCDDEBDEA, ABCDDEBDEB, ABCDDEBDEC, ABCDDEBDED, ABCDDEBDEE, ABCDDEBDEF, ABCDDEBDFA, ABCDDEBDFB, ABCDDEBDFC, ABCDDEBDFD, ABCDDEBDFE, ABCDDEBDFF, ABCDDEBDFG, ABCDDEBEAA, ABCDDEBEAB, ABCDDEBEAC, ABCDDEBEAD, ABCDDEBEAE, ABCDDEBEAF, ABCDDEBEBA, ABCDDEBEBB, ABCDDEBEBC, ABCDDEBEBD, ABCDDEBEBE, ABCDDEBEBF, ABCDDEBECA, ABCDDEBECB, ABCDDEBECC, ABCDDEBECD, ABCDDEBECE, ABCDDEBECF, ABCDDEBEDA, ABCDDEBEDB, ABCDDEBEDC, ABCDDEBEDD, ABCDDEBEDE, ABCDDEBEDF, ABCDDEBEEA, ABCDDEBEEB, ABCDDEBEEC, ABCDDEBEED, ABCDDEBEEE, ABCDDEBEEF, ABCDDEBEFA, ABCDDEBEFB, ABCDDEBEFC, ABCDDEBEFD, ABCDDEBEFE, ABCDDEBEFF, ABCDDEBEFG, ABCDDEBFAA, ABCDDEBFAB, ABCDDEBFAC, ABCDDEBFAD, ABCDDEBFAE, ABCDDEBFAF, ABCDDEBFAG, ABCDDEBFBA, ABCDDEBFBB, ABCDDEBFBC, ABCDDEBFBD, ABCDDEBFBE, ABCDDEBFBF, ABCDDEBFBG, ABCDDEBFCA, ABCDDEBFCB, ABCDDEBFCC, ABCDDEBFCD, ABCDDEBFCE, ABCDDEBFCF, ABCDDEBFCG, ABCDDEBFDA, ABCDDEBFDB, ABCDDEBFDC, ABCDDEBFDD, ABCDDEBFDE, ABCDDEBFDF, ABCDDEBFDG, ABCDDEBFEA, ABCDDEBFEB, ABCDDEBFEC, ABCDDEBFED, ABCDDEBFEE, ABCDDEBFEF, ABCDDEBFEG, ABCDDEBFFA, ABCDDEBFFB, ABCDDEBFFC, ABCDDEBFFD, ABCDDEBFFE, ABCDDEBFFF, ABCDDEBFFG, ABCDDEBFGA, ABCDDEBFGB, ABCDDEBFGC, ABCDDEBFGD, ABCDDEBFGE, ABCDDEBFGF, ABCDDEBFGG, ABCDDEBFGH, ABCDDECAAA, ABCDDECAAB, ABCDDECAAC, ABCDDECAAD, ABCDDECAAE, ABCDDECAAF, ABCDDECABA, ABCDDECABB, ABCDDECABC, ABCDDECABD, ABCDDECABE, ABCDDECABF, ABCDDECACA, ABCDDECACB, ABCDDECACC, ABCDDECACD, ABCDDECACE, ABCDDECACF, ABCDDECADA, ABCDDECADB, ABCDDECADC, ABCDDECADD, ABCDDECADE, ABCDDECADF, ABCDDECAEA, ABCDDECAEB, ABCDDECAEC, ABCDDECAED, ABCDDECAEE, ABCDDECAEF, ABCDDECAFA, ABCDDECAFB, ABCDDECAFC, ABCDDECAFD, ABCDDECAFE, ABCDDECAFF, ABCDDECAFG, ABCDDECBAA, ABCDDECBAB, ABCDDECBAC, ABCDDECBAD, ABCDDECBAE, ABCDDECBAF, ABCDDECBBA, ABCDDECBBB, ABCDDECBBC, ABCDDECBBD, ABCDDECBBE, ABCDDECBBF, ABCDDECBCA, ABCDDECBCB, ABCDDECBCC, ABCDDECBCD, ABCDDECBCE, ABCDDECBCF, ABCDDECBDA, ABCDDECBDB, ABCDDECBDC, ABCDDECBDD, ABCDDECBDE, ABCDDECBDF, ABCDDECBEA, ABCDDECBEB, ABCDDECBEC, ABCDDECBED, ABCDDECBEE, ABCDDECBEF, ABCDDECBFA, ABCDDECBFB, ABCDDECBFC, ABCDDECBFD, ABCDDECBFE, ABCDDECBFF, ABCDDECBFG, ABCDDECCAA, ABCDDECCAB, ABCDDECCAC, ABCDDECCAD, ABCDDECCAE, ABCDDECCAF, ABCDDECCBA, ABCDDECCBB, ABCDDECCBC, ABCDDECCBD, ABCDDECCBE, ABCDDECCBF, ABCDDECCCA, ABCDDECCCB, ABCDDECCCC, ABCDDECCCD, ABCDDECCCE, ABCDDECCCF, ABCDDECCDA, ABCDDECCDB, ABCDDECCDC, ABCDDECCDD, ABCDDECCDE, ABCDDECCDF, ABCDDECCEA, ABCDDECCEB, ABCDDECCEC, ABCDDECCED, ABCDDECCEE, ABCDDECCEF, ABCDDECCFA, ABCDDECCFB, ABCDDECCFC, ABCDDECCFD, ABCDDECCFE, ABCDDECCFF, ABCDDECCFG, ABCDDECDAA, ABCDDECDAB, ABCDDECDAC, ABCDDECDAD, ABCDDECDAE, ABCDDECDAF, ABCDDECDBA, ABCDDECDBB, ABCDDECDBC, ABCDDECDBD, ABCDDECDBE, ABCDDECDBF, ABCDDECDCA, ABCDDECDCB, ABCDDECDCC, ABCDDECDCD, ABCDDECDCE, ABCDDECDCF, ABCDDECDDA, ABCDDECDDB, ABCDDECDDC, ABCDDECDDD, ABCDDECDDE, ABCDDECDDF, ABCDDECDEA, ABCDDECDEB, ABCDDECDEC, ABCDDECDED, ABCDDECDEE, ABCDDECDEF, ABCDDECDFA, ABCDDECDFB, ABCDDECDFC, ABCDDECDFD, ABCDDECDFE, ABCDDECDFF, ABCDDECDFG, ABCDDECEAA, ABCDDECEAB, ABCDDECEAC, ABCDDECEAD, ABCDDECEAE, ABCDDECEAF, ABCDDECEBA, ABCDDECEBB, ABCDDECEBC, ABCDDECEBD, ABCDDECEBE, ABCDDECEBF, ABCDDECECA, ABCDDECECB, ABCDDECECC, ABCDDECECD, ABCDDECECE, ABCDDECECF, ABCDDECEDA, ABCDDECEDB, ABCDDECEDC, ABCDDECEDD, ABCDDECEDE, ABCDDECEDF, ABCDDECEEA, ABCDDECEEB, ABCDDECEEC, ABCDDECEED, ABCDDECEEE, ABCDDECEEF, ABCDDECEFA, ABCDDECEFB, ABCDDECEFC, ABCDDECEFD, ABCDDECEFE, ABCDDECEFF, ABCDDECEFG, ABCDDECFAA, ABCDDECFAB, ABCDDECFAC, ABCDDECFAD, ABCDDECFAE, ABCDDECFAF, ABCDDECFAG, ABCDDECFBA, ABCDDECFBB, ABCDDECFBC, ABCDDECFBD, ABCDDECFBE, ABCDDECFBF, ABCDDECFBG, ABCDDECFCA, ABCDDECFCB, ABCDDECFCC, ABCDDECFCD, ABCDDECFCE, ABCDDECFCF, ABCDDECFCG, ABCDDECFDA, ABCDDECFDB, ABCDDECFDC, ABCDDECFDD, ABCDDECFDE, ABCDDECFDF, ABCDDECFDG, ABCDDECFEA, ABCDDECFEB, ABCDDECFEC, ABCDDECFED, ABCDDECFEE, ABCDDECFEF, ABCDDECFEG, ABCDDECFFA, ABCDDECFFB, ABCDDECFFC, ABCDDECFFD, ABCDDECFFE, ABCDDECFFF, ABCDDECFFG, ABCDDECFGA, ABCDDECFGB, ABCDDECFGC, ABCDDECFGD, ABCDDECFGE, ABCDDECFGF, ABCDDECFGG, ABCDDECFGH, ABCDDEDAAA, ABCDDEDAAB, ABCDDEDAAC, ABCDDEDAAD, ABCDDEDAAE, ABCDDEDAAF, ABCDDEDABA, ABCDDEDABB, ABCDDEDABC, ABCDDEDABD, ABCDDEDABE, ABCDDEDABF, ABCDDEDACA, ABCDDEDACB, ABCDDEDACC, ABCDDEDACD, ABCDDEDACE, ABCDDEDACF, ABCDDEDADA, ABCDDEDADB, ABCDDEDADC, ABCDDEDADD, ABCDDEDADE, ABCDDEDADF, ABCDDEDAEA, ABCDDEDAEB, ABCDDEDAEC, ABCDDEDAED, ABCDDEDAEE, ABCDDEDAEF, ABCDDEDAFA, ABCDDEDAFB, ABCDDEDAFC, ABCDDEDAFD, ABCDDEDAFE, ABCDDEDAFF, ABCDDEDAFG, ABCDDEDBAA, ABCDDEDBAB, ABCDDEDBAC, ABCDDEDBAD, ABCDDEDBAE, ABCDDEDBAF, ABCDDEDBBA, ABCDDEDBBB, ABCDDEDBBC, ABCDDEDBBD, ABCDDEDBBE, ABCDDEDBBF, ABCDDEDBCA, ABCDDEDBCB, ABCDDEDBCC, ABCDDEDBCD, ABCDDEDBCE, ABCDDEDBCF, ABCDDEDBDA, ABCDDEDBDB, ABCDDEDBDC, ABCDDEDBDD, ABCDDEDBDE, ABCDDEDBDF, ABCDDEDBEA, ABCDDEDBEB, ABCDDEDBEC, ABCDDEDBED, ABCDDEDBEE, ABCDDEDBEF, ABCDDEDBFA, ABCDDEDBFB, ABCDDEDBFC, ABCDDEDBFD, ABCDDEDBFE, ABCDDEDBFF, ABCDDEDBFG, ABCDDEDCAA, ABCDDEDCAB, ABCDDEDCAC, ABCDDEDCAD, ABCDDEDCAE, ABCDDEDCAF, ABCDDEDCBA, ABCDDEDCBB, ABCDDEDCBC, ABCDDEDCBD, ABCDDEDCBE, ABCDDEDCBF, ABCDDEDCCA, ABCDDEDCCB, ABCDDEDCCC, ABCDDEDCCD, ABCDDEDCCE, ABCDDEDCCF, ABCDDEDCDA, ABCDDEDCDB, ABCDDEDCDC, ABCDDEDCDD, ABCDDEDCDE, ABCDDEDCDF, ABCDDEDCEA, ABCDDEDCEB, ABCDDEDCEC, ABCDDEDCED, ABCDDEDCEE, ABCDDEDCEF, ABCDDEDCFA, ABCDDEDCFB, ABCDDEDCFC, ABCDDEDCFD, ABCDDEDCFE, ABCDDEDCFF, ABCDDEDCFG, ABCDDEDDAA, ABCDDEDDAB, ABCDDEDDAC, ABCDDEDDAD, ABCDDEDDAE, ABCDDEDDAF, ABCDDEDDBA, ABCDDEDDBB, ABCDDEDDBC, ABCDDEDDBD, ABCDDEDDBE, ABCDDEDDBF, ABCDDEDDCA, ABCDDEDDCB, ABCDDEDDCC, ABCDDEDDCD, ABCDDEDDCE, ABCDDEDDCF, ABCDDEDDDA, ABCDDEDDDB, ABCDDEDDDC, ABCDDEDDDD, ABCDDEDDDE, ABCDDEDDDF, ABCDDEDDEA, ABCDDEDDEB, ABCDDEDDEC, ABCDDEDDED, ABCDDEDDEE, ABCDDEDDEF, ABCDDEDDFA, ABCDDEDDFB, ABCDDEDDFC, ABCDDEDDFD, ABCDDEDDFE, ABCDDEDDFF, ABCDDEDDFG, ABCDDEDEAA, ABCDDEDEAB, ABCDDEDEAC, ABCDDEDEAD, ABCDDEDEAE, ABCDDEDEAF, ABCDDEDEBA, ABCDDEDEBB, ABCDDEDEBC, ABCDDEDEBD, ABCDDEDEBE, ABCDDEDEBF, ABCDDEDECA, ABCDDEDECB, ABCDDEDECC, ABCDDEDECD, ABCDDEDECE, ABCDDEDECF, ABCDDEDEDA, ABCDDEDEDB, ABCDDEDEDC, ABCDDEDEDD, ABCDDEDEDE, ABCDDEDEDF, ABCDDEDEEA, ABCDDEDEEB, ABCDDEDEEC, ABCDDEDEED, ABCDDEDEEE, ABCDDEDEEF, ABCDDEDEFA, ABCDDEDEFB, ABCDDEDEFC, ABCDDEDEFD, ABCDDEDEFE, ABCDDEDEFF, ABCDDEDEFG, ABCDDEDFAA, ABCDDEDFAB, ABCDDEDFAC, ABCDDEDFAD, ABCDDEDFAE, ABCDDEDFAF, ABCDDEDFAG, ABCDDEDFBA, ABCDDEDFBB, ABCDDEDFBC, ABCDDEDFBD, ABCDDEDFBE, ABCDDEDFBF, ABCDDEDFBG, ABCDDEDFCA, ABCDDEDFCB, ABCDDEDFCC, ABCDDEDFCD, ABCDDEDFCE, ABCDDEDFCF, ABCDDEDFCG, ABCDDEDFDA, ABCDDEDFDB, ABCDDEDFDC, ABCDDEDFDD, ABCDDEDFDE, ABCDDEDFDF, ABCDDEDFDG, ABCDDEDFEA, ABCDDEDFEB, ABCDDEDFEC, ABCDDEDFED, ABCDDEDFEE, ABCDDEDFEF, ABCDDEDFEG, ABCDDEDFFA, ABCDDEDFFB, ABCDDEDFFC, ABCDDEDFFD, ABCDDEDFFE, ABCDDEDFFF, ABCDDEDFFG, ABCDDEDFGA, ABCDDEDFGB, ABCDDEDFGC, ABCDDEDFGD, ABCDDEDFGE, ABCDDEDFGF, ABCDDEDFGG, ABCDDEDFGH, ABCDDEEAAA, ABCDDEEAAB, ABCDDEEAAC, ABCDDEEAAD, ABCDDEEAAE, ABCDDEEAAF, ABCDDEEABA, ABCDDEEABB, ABCDDEEABC, ABCDDEEABD, ABCDDEEABE, ABCDDEEABF, ABCDDEEACA, ABCDDEEACB, ABCDDEEACC, ABCDDEEACD, ABCDDEEACE, ABCDDEEACF, ABCDDEEADA, ABCDDEEADB, ABCDDEEADC, ABCDDEEADD, ABCDDEEADE, ABCDDEEADF, ABCDDEEAEA, ABCDDEEAEB, ABCDDEEAEC, ABCDDEEAED, ABCDDEEAEE, ABCDDEEAEF, ABCDDEEAFA, ABCDDEEAFB, ABCDDEEAFC, ABCDDEEAFD, ABCDDEEAFE, ABCDDEEAFF, ABCDDEEAFG, ABCDDEEBAA, ABCDDEEBAB, ABCDDEEBAC, ABCDDEEBAD, ABCDDEEBAE, ABCDDEEBAF, ABCDDEEBBA, ABCDDEEBBB, ABCDDEEBBC, ABCDDEEBBD, ABCDDEEBBE, ABCDDEEBBF, ABCDDEEBCA, ABCDDEEBCB, ABCDDEEBCC, ABCDDEEBCD, ABCDDEEBCE, ABCDDEEBCF, ABCDDEEBDA, ABCDDEEBDB, ABCDDEEBDC, ABCDDEEBDD, ABCDDEEBDE, ABCDDEEBDF, ABCDDEEBEA, ABCDDEEBEB, ABCDDEEBEC, ABCDDEEBED, ABCDDEEBEE, ABCDDEEBEF, ABCDDEEBFA, ABCDDEEBFB, ABCDDEEBFC, ABCDDEEBFD, ABCDDEEBFE, ABCDDEEBFF, ABCDDEEBFG, ABCDDEECAA, ABCDDEECAB, ABCDDEECAC, ABCDDEECAD, ABCDDEECAE, ABCDDEECAF, ABCDDEECBA, ABCDDEECBB, ABCDDEECBC, ABCDDEECBD, ABCDDEECBE, ABCDDEECBF, ABCDDEECCA, ABCDDEECCB, ABCDDEECCC, ABCDDEECCD, ABCDDEECCE, ABCDDEECCF, ABCDDEECDA, ABCDDEECDB, ABCDDEECDC, ABCDDEECDD, ABCDDEECDE, ABCDDEECDF, ABCDDEECEA, ABCDDEECEB, ABCDDEECEC, ABCDDEECED, ABCDDEECEE, ABCDDEECEF, ABCDDEECFA, ABCDDEECFB, ABCDDEECFC, ABCDDEECFD, ABCDDEECFE, ABCDDEECFF, ABCDDEECFG, ABCDDEEDAA, ABCDDEEDAB, ABCDDEEDAC, ABCDDEEDAD, ABCDDEEDAE, ABCDDEEDAF, ABCDDEEDBA, ABCDDEEDBB, ABCDDEEDBC, ABCDDEEDBD, ABCDDEEDBE, ABCDDEEDBF, ABCDDEEDCA, ABCDDEEDCB, ABCDDEEDCC, ABCDDEEDCD, ABCDDEEDCE, ABCDDEEDCF, ABCDDEEDDA, ABCDDEEDDB, ABCDDEEDDC, ABCDDEEDDD, ABCDDEEDDE, ABCDDEEDDF, ABCDDEEDEA, ABCDDEEDEB, ABCDDEEDEC, ABCDDEEDED, ABCDDEEDEE, ABCDDEEDEF, ABCDDEEDFA, ABCDDEEDFB, ABCDDEEDFC, ABCDDEEDFD, ABCDDEEDFE, ABCDDEEDFF, ABCDDEEDFG, ABCDDEEEAA, ABCDDEEEAB, ABCDDEEEAC, ABCDDEEEAD, ABCDDEEEAE, ABCDDEEEAF, ABCDDEEEBA, ABCDDEEEBB, ABCDDEEEBC, ABCDDEEEBD, ABCDDEEEBE, ABCDDEEEBF, ABCDDEEECA, ABCDDEEECB, ABCDDEEECC, ABCDDEEECD, ABCDDEEECE, ABCDDEEECF, ABCDDEEEDA, ABCDDEEEDB, ABCDDEEEDC, ABCDDEEEDD, ABCDDEEEDE, ABCDDEEEDF, ABCDDEEEEA, ABCDDEEEEB, ABCDDEEEEC, ABCDDEEEED, ABCDDEEEEE, ABCDDEEEEF, ABCDDEEEFA, ABCDDEEEFB, ABCDDEEEFC, ABCDDEEEFD, ABCDDEEEFE, ABCDDEEEFF, ABCDDEEEFG, ABCDDEEFAA, ABCDDEEFAB, ABCDDEEFAC, ABCDDEEFAD, ABCDDEEFAE, ABCDDEEFAF, ABCDDEEFAG, ABCDDEEFBA, ABCDDEEFBB, ABCDDEEFBC, ABCDDEEFBD, ABCDDEEFBE, ABCDDEEFBF, ABCDDEEFBG, ABCDDEEFCA, ABCDDEEFCB, ABCDDEEFCC, ABCDDEEFCD, ABCDDEEFCE, ABCDDEEFCF, ABCDDEEFCG, ABCDDEEFDA, ABCDDEEFDB, ABCDDEEFDC, ABCDDEEFDD, ABCDDEEFDE, ABCDDEEFDF, ABCDDEEFDG, ABCDDEEFEA, ABCDDEEFEB, ABCDDEEFEC, ABCDDEEFED, ABCDDEEFEE, ABCDDEEFEF, ABCDDEEFEG, ABCDDEEFFA, ABCDDEEFFB, ABCDDEEFFC, ABCDDEEFFD, ABCDDEEFFE, ABCDDEEFFF, ABCDDEEFFG, ABCDDEEFGA, ABCDDEEFGB, ABCDDEEFGC, ABCDDEEFGD, ABCDDEEFGE, ABCDDEEFGF, ABCDDEEFGG, ABCDDEEFGH, ABCDDEFAAA, ABCDDEFAAB, ABCDDEFAAC, ABCDDEFAAD, ABCDDEFAAE, ABCDDEFAAF, ABCDDEFAAG, ABCDDEFABA, ABCDDEFABB, ABCDDEFABC, ABCDDEFABD, ABCDDEFABE, ABCDDEFABF, ABCDDEFABG, ABCDDEFACA, ABCDDEFACB, ABCDDEFACC, ABCDDEFACD, ABCDDEFACE, ABCDDEFACF, ABCDDEFACG, ABCDDEFADA, ABCDDEFADB, ABCDDEFADC, ABCDDEFADD, ABCDDEFADE, ABCDDEFADF, ABCDDEFADG, ABCDDEFAEA, ABCDDEFAEB, ABCDDEFAEC, ABCDDEFAED, ABCDDEFAEE, ABCDDEFAEF, ABCDDEFAEG, ABCDDEFAFA, ABCDDEFAFB, ABCDDEFAFC, ABCDDEFAFD, ABCDDEFAFE, ABCDDEFAFF, ABCDDEFAFG, ABCDDEFAGA, ABCDDEFAGB, ABCDDEFAGC, ABCDDEFAGD, ABCDDEFAGE, ABCDDEFAGF, ABCDDEFAGG, ABCDDEFAGH, ABCDDEFBAA, ABCDDEFBAB, ABCDDEFBAC, ABCDDEFBAD, ABCDDEFBAE, ABCDDEFBAF, ABCDDEFBAG, ABCDDEFBBA, ABCDDEFBBB, ABCDDEFBBC, ABCDDEFBBD, 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ABCDEBEDBE, ABCDEBEDBF, ABCDEBEDCA, ABCDEBEDCB, ABCDEBEDCC, ABCDEBEDCD, ABCDEBEDCE, ABCDEBEDCF, ABCDEBEDDA, ABCDEBEDDB, ABCDEBEDDC, ABCDEBEDDD, ABCDEBEDDE, ABCDEBEDDF, ABCDEBEDEA, ABCDEBEDEB, ABCDEBEDEC, ABCDEBEDED, ABCDEBEDEE, ABCDEBEDEF, ABCDEBEDFA, ABCDEBEDFB, ABCDEBEDFC, ABCDEBEDFD, ABCDEBEDFE, ABCDEBEDFF, ABCDEBEDFG, ABCDEBEEAA, ABCDEBEEAB, ABCDEBEEAC, ABCDEBEEAD, ABCDEBEEAE, ABCDEBEEAF, ABCDEBEEBA, ABCDEBEEBB, ABCDEBEEBC, ABCDEBEEBD, ABCDEBEEBE, ABCDEBEEBF, ABCDEBEECA, ABCDEBEECB, ABCDEBEECC, ABCDEBEECD, ABCDEBEECE, ABCDEBEECF, ABCDEBEEDA, ABCDEBEEDB, ABCDEBEEDC, ABCDEBEEDD, ABCDEBEEDE, ABCDEBEEDF, ABCDEBEEEA, ABCDEBEEEB, ABCDEBEEEC, ABCDEBEEED, ABCDEBEEEE, ABCDEBEEEF, ABCDEBEEFA, ABCDEBEEFB, ABCDEBEEFC, ABCDEBEEFD, ABCDEBEEFE, ABCDEBEEFF, ABCDEBEEFG, ABCDEBEFAA, ABCDEBEFAB, ABCDEBEFAC, ABCDEBEFAD, ABCDEBEFAE, ABCDEBEFAF, ABCDEBEFAG, ABCDEBEFBA, ABCDEBEFBB, ABCDEBEFBC, ABCDEBEFBD, ABCDEBEFBE, ABCDEBEFBF, ABCDEBEFBG, ABCDEBEFCA, ABCDEBEFCB, ABCDEBEFCC, ABCDEBEFCD, ABCDEBEFCE, ABCDEBEFCF, ABCDEBEFCG, ABCDEBEFDA, ABCDEBEFDB, ABCDEBEFDC, ABCDEBEFDD, ABCDEBEFDE, ABCDEBEFDF, ABCDEBEFDG, ABCDEBEFEA, ABCDEBEFEB, ABCDEBEFEC, ABCDEBEFED, ABCDEBEFEE, ABCDEBEFEF, ABCDEBEFEG, ABCDEBEFFA, ABCDEBEFFB, ABCDEBEFFC, ABCDEBEFFD, ABCDEBEFFE, ABCDEBEFFF, ABCDEBEFFG, ABCDEBEFGA, ABCDEBEFGB, ABCDEBEFGC, ABCDEBEFGD, ABCDEBEFGE, ABCDEBEFGF, ABCDEBEFGG, ABCDEBEFGH, ABCDEBFAAA, ABCDEBFAAB, ABCDEBFAAC, ABCDEBFAAD, ABCDEBFAAE, ABCDEBFAAF, ABCDEBFAAG, ABCDEBFABA, ABCDEBFABB, ABCDEBFABC, ABCDEBFABD, ABCDEBFABE, ABCDEBFABF, ABCDEBFABG, ABCDEBFACA, ABCDEBFACB, ABCDEBFACC, ABCDEBFACD, ABCDEBFACE, ABCDEBFACF, ABCDEBFACG, ABCDEBFADA, ABCDEBFADB, ABCDEBFADC, ABCDEBFADD, ABCDEBFADE, ABCDEBFADF, ABCDEBFADG, ABCDEBFAEA, ABCDEBFAEB, ABCDEBFAEC, ABCDEBFAED, ABCDEBFAEE, ABCDEBFAEF, ABCDEBFAEG, ABCDEBFAFA, ABCDEBFAFB, ABCDEBFAFC, ABCDEBFAFD, ABCDEBFAFE, ABCDEBFAFF, ABCDEBFAFG, ABCDEBFAGA, ABCDEBFAGB, ABCDEBFAGC, ABCDEBFAGD, ABCDEBFAGE, ABCDEBFAGF, ABCDEBFAGG, ABCDEBFAGH, ABCDEBFBAA, ABCDEBFBAB, 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ABCDECDFGA, ABCDECDFGB, ABCDECDFGC, ABCDECDFGD, ABCDECDFGE, ABCDECDFGF, ABCDECDFGG, ABCDECDFGH, ABCDECEAAA, ABCDECEAAB, ABCDECEAAC, ABCDECEAAD, ABCDECEAAE, ABCDECEAAF, ABCDECEABA, ABCDECEABB, ABCDECEABC, ABCDECEABD, ABCDECEABE, ABCDECEABF, ABCDECEACA, ABCDECEACB, ABCDECEACC, ABCDECEACD, ABCDECEACE, ABCDECEACF, ABCDECEADA, ABCDECEADB, ABCDECEADC, ABCDECEADD, ABCDECEADE, ABCDECEADF, ABCDECEAEA, ABCDECEAEB, ABCDECEAEC, ABCDECEAED, ABCDECEAEE, ABCDECEAEF, ABCDECEAFA, ABCDECEAFB, ABCDECEAFC, ABCDECEAFD, ABCDECEAFE, ABCDECEAFF, ABCDECEAFG, ABCDECEBAA, ABCDECEBAB, ABCDECEBAC, ABCDECEBAD, ABCDECEBAE, ABCDECEBAF, ABCDECEBBA, ABCDECEBBB, ABCDECEBBC, ABCDECEBBD, ABCDECEBBE, ABCDECEBBF, ABCDECEBCA, ABCDECEBCB, ABCDECEBCC, ABCDECEBCD, ABCDECEBCE, ABCDECEBCF, ABCDECEBDA, ABCDECEBDB, ABCDECEBDC, ABCDECEBDD, ABCDECEBDE, ABCDECEBDF, ABCDECEBEA, ABCDECEBEB, ABCDECEBEC, ABCDECEBED, ABCDECEBEE, ABCDECEBEF, ABCDECEBFA, ABCDECEBFB, ABCDECEBFC, ABCDECEBFD, ABCDECEBFE, ABCDECEBFF, ABCDECEBFG, ABCDECECAA, 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ABCDEFEBED, ABCDEFEBEE, ABCDEFEBEF, ABCDEFEBEG, ABCDEFEBFA, ABCDEFEBFB, ABCDEFEBFC, ABCDEFEBFD, ABCDEFEBFE, ABCDEFEBFF, ABCDEFEBFG, ABCDEFEBGA, ABCDEFEBGB, ABCDEFEBGC, ABCDEFEBGD, ABCDEFEBGE, ABCDEFEBGF, ABCDEFEBGG, ABCDEFEBGH, ABCDEFECAA, ABCDEFECAB, ABCDEFECAC, ABCDEFECAD, ABCDEFECAE, ABCDEFECAF, ABCDEFECAG, ABCDEFECBA, ABCDEFECBB, ABCDEFECBC, ABCDEFECBD, ABCDEFECBE, ABCDEFECBF, ABCDEFECBG, ABCDEFECCA, ABCDEFECCB, ABCDEFECCC, ABCDEFECCD, ABCDEFECCE, ABCDEFECCF, ABCDEFECCG, ABCDEFECDA, ABCDEFECDB, ABCDEFECDC, ABCDEFECDD, ABCDEFECDE, ABCDEFECDF, ABCDEFECDG, ABCDEFECEA, ABCDEFECEB, ABCDEFECEC, ABCDEFECED, ABCDEFECEE, ABCDEFECEF, ABCDEFECEG, ABCDEFECFA, ABCDEFECFB, ABCDEFECFC, ABCDEFECFD, ABCDEFECFE, ABCDEFECFF, ABCDEFECFG, ABCDEFECGA, ABCDEFECGB, ABCDEFECGC, ABCDEFECGD, ABCDEFECGE, ABCDEFECGF, ABCDEFECGG, ABCDEFECGH, ABCDEFEDAA, ABCDEFEDAB, ABCDEFEDAC, ABCDEFEDAD, ABCDEFEDAE, ABCDEFEDAF, ABCDEFEDAG, ABCDEFEDBA, ABCDEFEDBB, ABCDEFEDBC, ABCDEFEDBD, ABCDEFEDBE, ABCDEFEDBF, ABCDEFEDBG, ABCDEFEDCA, ABCDEFEDCB, ABCDEFEDCC, ABCDEFEDCD, ABCDEFEDCE, ABCDEFEDCF, ABCDEFEDCG, ABCDEFEDDA, ABCDEFEDDB, ABCDEFEDDC, ABCDEFEDDD, ABCDEFEDDE, ABCDEFEDDF, ABCDEFEDDG, ABCDEFEDEA, ABCDEFEDEB, ABCDEFEDEC, ABCDEFEDED, ABCDEFEDEE, ABCDEFEDEF, ABCDEFEDEG, ABCDEFEDFA, ABCDEFEDFB, ABCDEFEDFC, ABCDEFEDFD, ABCDEFEDFE, ABCDEFEDFF, ABCDEFEDFG, ABCDEFEDGA, ABCDEFEDGB, ABCDEFEDGC, ABCDEFEDGD, ABCDEFEDGE, ABCDEFEDGF, ABCDEFEDGG, ABCDEFEDGH, ABCDEFEEAA, ABCDEFEEAB, ABCDEFEEAC, ABCDEFEEAD, ABCDEFEEAE, ABCDEFEEAF, ABCDEFEEAG, ABCDEFEEBA, ABCDEFEEBB, ABCDEFEEBC, ABCDEFEEBD, ABCDEFEEBE, ABCDEFEEBF, ABCDEFEEBG, ABCDEFEECA, ABCDEFEECB, ABCDEFEECC, ABCDEFEECD, ABCDEFEECE, ABCDEFEECF, ABCDEFEECG, ABCDEFEEDA, ABCDEFEEDB, ABCDEFEEDC, ABCDEFEEDD, ABCDEFEEDE, ABCDEFEEDF, ABCDEFEEDG, ABCDEFEEEA, ABCDEFEEEB, ABCDEFEEEC, ABCDEFEEED, ABCDEFEEEE, ABCDEFEEEF, ABCDEFEEEG, ABCDEFEEFA, ABCDEFEEFB, ABCDEFEEFC, ABCDEFEEFD, ABCDEFEEFE, ABCDEFEEFF, ABCDEFEEFG, ABCDEFEEGA, ABCDEFEEGB, ABCDEFEEGC, ABCDEFEEGD, ABCDEFEEGE, ABCDEFEEGF, ABCDEFEEGG, ABCDEFEEGH, ABCDEFEFAA, ABCDEFEFAB, ABCDEFEFAC, ABCDEFEFAD, ABCDEFEFAE, ABCDEFEFAF, ABCDEFEFAG, ABCDEFEFBA, ABCDEFEFBB, ABCDEFEFBC, ABCDEFEFBD, ABCDEFEFBE, ABCDEFEFBF, ABCDEFEFBG, ABCDEFEFCA, ABCDEFEFCB, ABCDEFEFCC, ABCDEFEFCD, ABCDEFEFCE, ABCDEFEFCF, ABCDEFEFCG, ABCDEFEFDA, ABCDEFEFDB, ABCDEFEFDC, ABCDEFEFDD, ABCDEFEFDE, ABCDEFEFDF, ABCDEFEFDG, ABCDEFEFEA, ABCDEFEFEB, ABCDEFEFEC, ABCDEFEFED, ABCDEFEFEE, ABCDEFEFEF, ABCDEFEFEG, ABCDEFEFFA, ABCDEFEFFB, ABCDEFEFFC, ABCDEFEFFD, ABCDEFEFFE, ABCDEFEFFF, ABCDEFEFFG, ABCDEFEFGA, ABCDEFEFGB, ABCDEFEFGC, ABCDEFEFGD, ABCDEFEFGE, ABCDEFEFGF, ABCDEFEFGG, ABCDEFEFGH, ABCDEFEGAA, ABCDEFEGAB, ABCDEFEGAC, ABCDEFEGAD, ABCDEFEGAE, ABCDEFEGAF, ABCDEFEGAG, ABCDEFEGAH, ABCDEFEGBA, ABCDEFEGBB, ABCDEFEGBC, ABCDEFEGBD, ABCDEFEGBE, ABCDEFEGBF, ABCDEFEGBG, ABCDEFEGBH, ABCDEFEGCA, ABCDEFEGCB, ABCDEFEGCC, ABCDEFEGCD, ABCDEFEGCE, ABCDEFEGCF, ABCDEFEGCG, ABCDEFEGCH, ABCDEFEGDA, ABCDEFEGDB, ABCDEFEGDC, ABCDEFEGDD, ABCDEFEGDE, ABCDEFEGDF, ABCDEFEGDG, ABCDEFEGDH, ABCDEFEGEA, ABCDEFEGEB, ABCDEFEGEC, ABCDEFEGED, ABCDEFEGEE, ABCDEFEGEF, ABCDEFEGEG, ABCDEFEGEH, ABCDEFEGFA, ABCDEFEGFB, ABCDEFEGFC, ABCDEFEGFD, ABCDEFEGFE, ABCDEFEGFF, ABCDEFEGFG, ABCDEFEGFH, ABCDEFEGGA, ABCDEFEGGB, ABCDEFEGGC, ABCDEFEGGD, ABCDEFEGGE, ABCDEFEGGF, ABCDEFEGGG, ABCDEFEGGH, ABCDEFEGHA, ABCDEFEGHB, ABCDEFEGHC, ABCDEFEGHD, ABCDEFEGHE, ABCDEFEGHF, ABCDEFEGHG, ABCDEFEGHH, ABCDEFEGHI, ABCDEFFAAA, ABCDEFFAAB, ABCDEFFAAC, ABCDEFFAAD, ABCDEFFAAE, ABCDEFFAAF, ABCDEFFAAG, ABCDEFFABA, ABCDEFFABB, ABCDEFFABC, ABCDEFFABD, ABCDEFFABE, ABCDEFFABF, ABCDEFFABG, ABCDEFFACA, ABCDEFFACB, ABCDEFFACC, ABCDEFFACD, ABCDEFFACE, ABCDEFFACF, ABCDEFFACG, ABCDEFFADA, ABCDEFFADB, ABCDEFFADC, ABCDEFFADD, ABCDEFFADE, ABCDEFFADF, ABCDEFFADG, ABCDEFFAEA, ABCDEFFAEB, ABCDEFFAEC, ABCDEFFAED, ABCDEFFAEE, ABCDEFFAEF, ABCDEFFAEG, ABCDEFFAFA, ABCDEFFAFB, ABCDEFFAFC, ABCDEFFAFD, ABCDEFFAFE, ABCDEFFAFF, ABCDEFFAFG, ABCDEFFAGA, ABCDEFFAGB, ABCDEFFAGC, ABCDEFFAGD, ABCDEFFAGE, ABCDEFFAGF, ABCDEFFAGG, ABCDEFFAGH, ABCDEFFBAA, ABCDEFFBAB, ABCDEFFBAC, ABCDEFFBAD, ABCDEFFBAE, ABCDEFFBAF, ABCDEFFBAG, ABCDEFFBBA, ABCDEFFBBB, ABCDEFFBBC, ABCDEFFBBD, ABCDEFFBBE, ABCDEFFBBF, ABCDEFFBBG, ABCDEFFBCA, ABCDEFFBCB, ABCDEFFBCC, ABCDEFFBCD, ABCDEFFBCE, ABCDEFFBCF, ABCDEFFBCG, ABCDEFFBDA, ABCDEFFBDB, ABCDEFFBDC, ABCDEFFBDD, ABCDEFFBDE, ABCDEFFBDF, ABCDEFFBDG, ABCDEFFBEA, ABCDEFFBEB, ABCDEFFBEC, ABCDEFFBED, ABCDEFFBEE, ABCDEFFBEF, ABCDEFFBEG, ABCDEFFBFA, ABCDEFFBFB, ABCDEFFBFC, ABCDEFFBFD, ABCDEFFBFE, ABCDEFFBFF, ABCDEFFBFG, ABCDEFFBGA, ABCDEFFBGB, ABCDEFFBGC, ABCDEFFBGD, ABCDEFFBGE, ABCDEFFBGF, ABCDEFFBGG, ABCDEFFBGH, ABCDEFFCAA, ABCDEFFCAB, ABCDEFFCAC, ABCDEFFCAD, ABCDEFFCAE, ABCDEFFCAF, ABCDEFFCAG, ABCDEFFCBA, ABCDEFFCBB, ABCDEFFCBC, ABCDEFFCBD, ABCDEFFCBE, ABCDEFFCBF, ABCDEFFCBG, ABCDEFFCCA, ABCDEFFCCB, ABCDEFFCCC, ABCDEFFCCD, ABCDEFFCCE, ABCDEFFCCF, ABCDEFFCCG, ABCDEFFCDA, ABCDEFFCDB, ABCDEFFCDC, ABCDEFFCDD, ABCDEFFCDE, ABCDEFFCDF, ABCDEFFCDG, ABCDEFFCEA, ABCDEFFCEB, ABCDEFFCEC, ABCDEFFCED, ABCDEFFCEE, ABCDEFFCEF, ABCDEFFCEG, ABCDEFFCFA, ABCDEFFCFB, ABCDEFFCFC, ABCDEFFCFD, ABCDEFFCFE, ABCDEFFCFF, ABCDEFFCFG, ABCDEFFCGA, ABCDEFFCGB, ABCDEFFCGC, ABCDEFFCGD, ABCDEFFCGE, ABCDEFFCGF, ABCDEFFCGG, ABCDEFFCGH, ABCDEFFDAA, ABCDEFFDAB, ABCDEFFDAC, ABCDEFFDAD, ABCDEFFDAE, ABCDEFFDAF, ABCDEFFDAG, ABCDEFFDBA, ABCDEFFDBB, ABCDEFFDBC, ABCDEFFDBD, ABCDEFFDBE, ABCDEFFDBF, ABCDEFFDBG, ABCDEFFDCA, ABCDEFFDCB, ABCDEFFDCC, ABCDEFFDCD, ABCDEFFDCE, ABCDEFFDCF, ABCDEFFDCG, ABCDEFFDDA, ABCDEFFDDB, ABCDEFFDDC, ABCDEFFDDD, ABCDEFFDDE, ABCDEFFDDF, ABCDEFFDDG, ABCDEFFDEA, ABCDEFFDEB, ABCDEFFDEC, ABCDEFFDED, ABCDEFFDEE, ABCDEFFDEF, ABCDEFFDEG, ABCDEFFDFA, ABCDEFFDFB, ABCDEFFDFC, ABCDEFFDFD, ABCDEFFDFE, ABCDEFFDFF, ABCDEFFDFG, ABCDEFFDGA, ABCDEFFDGB, ABCDEFFDGC, ABCDEFFDGD, ABCDEFFDGE, ABCDEFFDGF, ABCDEFFDGG, ABCDEFFDGH, ABCDEFFEAA, ABCDEFFEAB, ABCDEFFEAC, ABCDEFFEAD, ABCDEFFEAE, ABCDEFFEAF, ABCDEFFEAG, ABCDEFFEBA, ABCDEFFEBB, ABCDEFFEBC, ABCDEFFEBD, ABCDEFFEBE, ABCDEFFEBF, ABCDEFFEBG, ABCDEFFECA, ABCDEFFECB, ABCDEFFECC, ABCDEFFECD, ABCDEFFECE, ABCDEFFECF, ABCDEFFECG, ABCDEFFEDA, ABCDEFFEDB, ABCDEFFEDC, ABCDEFFEDD, ABCDEFFEDE, ABCDEFFEDF, ABCDEFFEDG, ABCDEFFEEA, ABCDEFFEEB, ABCDEFFEEC, ABCDEFFEED, ABCDEFFEEE, ABCDEFFEEF, ABCDEFFEEG, ABCDEFFEFA, ABCDEFFEFB, ABCDEFFEFC, ABCDEFFEFD, ABCDEFFEFE, ABCDEFFEFF, ABCDEFFEFG, ABCDEFFEGA, ABCDEFFEGB, ABCDEFFEGC, ABCDEFFEGD, ABCDEFFEGE, ABCDEFFEGF, ABCDEFFEGG, ABCDEFFEGH, ABCDEFFFAA, ABCDEFFFAB, ABCDEFFFAC, ABCDEFFFAD, ABCDEFFFAE, ABCDEFFFAF, ABCDEFFFAG, ABCDEFFFBA, ABCDEFFFBB, ABCDEFFFBC, ABCDEFFFBD, ABCDEFFFBE, ABCDEFFFBF, ABCDEFFFBG, ABCDEFFFCA, ABCDEFFFCB, ABCDEFFFCC, ABCDEFFFCD, ABCDEFFFCE, ABCDEFFFCF, ABCDEFFFCG, ABCDEFFFDA, ABCDEFFFDB, ABCDEFFFDC, ABCDEFFFDD, ABCDEFFFDE, ABCDEFFFDF, ABCDEFFFDG, ABCDEFFFEA, ABCDEFFFEB, ABCDEFFFEC, ABCDEFFFED, ABCDEFFFEE, ABCDEFFFEF, ABCDEFFFEG, ABCDEFFFFA, ABCDEFFFFB, ABCDEFFFFC, ABCDEFFFFD, ABCDEFFFFE, ABCDEFFFFF, ABCDEFFFFG, ABCDEFFFGA, ABCDEFFFGB, ABCDEFFFGC, ABCDEFFFGD, ABCDEFFFGE, ABCDEFFFGF, ABCDEFFFGG, ABCDEFFFGH, ABCDEFFGAA, ABCDEFFGAB, ABCDEFFGAC, ABCDEFFGAD, ABCDEFFGAE, ABCDEFFGAF, ABCDEFFGAG, ABCDEFFGAH, ABCDEFFGBA, ABCDEFFGBB, ABCDEFFGBC, ABCDEFFGBD, ABCDEFFGBE, ABCDEFFGBF, ABCDEFFGBG, ABCDEFFGBH, ABCDEFFGCA, ABCDEFFGCB, ABCDEFFGCC, ABCDEFFGCD, ABCDEFFGCE, ABCDEFFGCF, ABCDEFFGCG, ABCDEFFGCH, ABCDEFFGDA, ABCDEFFGDB, ABCDEFFGDC, ABCDEFFGDD, ABCDEFFGDE, ABCDEFFGDF, ABCDEFFGDG, ABCDEFFGDH, ABCDEFFGEA, ABCDEFFGEB, ABCDEFFGEC, ABCDEFFGED, ABCDEFFGEE, ABCDEFFGEF, ABCDEFFGEG, ABCDEFFGEH, ABCDEFFGFA, ABCDEFFGFB, ABCDEFFGFC, ABCDEFFGFD, ABCDEFFGFE, ABCDEFFGFF, ABCDEFFGFG, ABCDEFFGFH, ABCDEFFGGA, ABCDEFFGGB, ABCDEFFGGC, ABCDEFFGGD, ABCDEFFGGE, ABCDEFFGGF, ABCDEFFGGG, ABCDEFFGGH, ABCDEFFGHA, ABCDEFFGHB, ABCDEFFGHC, ABCDEFFGHD, ABCDEFFGHE, ABCDEFFGHF, ABCDEFFGHG, ABCDEFFGHH, ABCDEFFGHI, ABCDEFGAAA, ABCDEFGAAB, ABCDEFGAAC, ABCDEFGAAD, ABCDEFGAAE, ABCDEFGAAF, ABCDEFGAAG, ABCDEFGAAH, ABCDEFGABA, ABCDEFGABB, ABCDEFGABC, ABCDEFGABD, ABCDEFGABE, ABCDEFGABF, ABCDEFGABG, ABCDEFGABH, ABCDEFGACA, ABCDEFGACB, ABCDEFGACC, ABCDEFGACD, ABCDEFGACE, ABCDEFGACF, ABCDEFGACG, ABCDEFGACH, ABCDEFGADA, ABCDEFGADB, ABCDEFGADC, ABCDEFGADD, ABCDEFGADE, ABCDEFGADF, ABCDEFGADG, ABCDEFGADH, ABCDEFGAEA, ABCDEFGAEB, ABCDEFGAEC, ABCDEFGAED, ABCDEFGAEE, ABCDEFGAEF, ABCDEFGAEG, ABCDEFGAEH, ABCDEFGAFA, ABCDEFGAFB, ABCDEFGAFC, ABCDEFGAFD, ABCDEFGAFE, ABCDEFGAFF, ABCDEFGAFG, ABCDEFGAFH, ABCDEFGAGA, ABCDEFGAGB, ABCDEFGAGC, ABCDEFGAGD, ABCDEFGAGE, ABCDEFGAGF, ABCDEFGAGG, ABCDEFGAGH, ABCDEFGAHA, ABCDEFGAHB, ABCDEFGAHC, ABCDEFGAHD, ABCDEFGAHE, ABCDEFGAHF, ABCDEFGAHG, ABCDEFGAHH, ABCDEFGAHI, ABCDEFGBAA, ABCDEFGBAB, ABCDEFGBAC, ABCDEFGBAD, ABCDEFGBAE, ABCDEFGBAF, ABCDEFGBAG, ABCDEFGBAH, ABCDEFGBBA, ABCDEFGBBB, ABCDEFGBBC, ABCDEFGBBD, ABCDEFGBBE, ABCDEFGBBF, ABCDEFGBBG, ABCDEFGBBH, ABCDEFGBCA, ABCDEFGBCB, ABCDEFGBCC, ABCDEFGBCD, ABCDEFGBCE, ABCDEFGBCF, ABCDEFGBCG, ABCDEFGBCH, ABCDEFGBDA, ABCDEFGBDB, ABCDEFGBDC, ABCDEFGBDD, ABCDEFGBDE, ABCDEFGBDF, ABCDEFGBDG, ABCDEFGBDH, ABCDEFGBEA, ABCDEFGBEB, ABCDEFGBEC, ABCDEFGBED, ABCDEFGBEE, ABCDEFGBEF, ABCDEFGBEG, ABCDEFGBEH, ABCDEFGBFA, ABCDEFGBFB, ABCDEFGBFC, ABCDEFGBFD, ABCDEFGBFE, ABCDEFGBFF, ABCDEFGBFG, ABCDEFGBFH, ABCDEFGBGA, ABCDEFGBGB, ABCDEFGBGC, ABCDEFGBGD, ABCDEFGBGE, ABCDEFGBGF, ABCDEFGBGG, ABCDEFGBGH, ABCDEFGBHA, ABCDEFGBHB, ABCDEFGBHC, ABCDEFGBHD, ABCDEFGBHE, ABCDEFGBHF, ABCDEFGBHG, ABCDEFGBHH, ABCDEFGBHI, ABCDEFGCAA, ABCDEFGCAB, ABCDEFGCAC, ABCDEFGCAD, ABCDEFGCAE, ABCDEFGCAF, ABCDEFGCAG, ABCDEFGCAH, ABCDEFGCBA, ABCDEFGCBB, ABCDEFGCBC, ABCDEFGCBD, ABCDEFGCBE, ABCDEFGCBF, ABCDEFGCBG, ABCDEFGCBH, ABCDEFGCCA, ABCDEFGCCB, ABCDEFGCCC, ABCDEFGCCD, ABCDEFGCCE, ABCDEFGCCF, ABCDEFGCCG, ABCDEFGCCH, ABCDEFGCDA, ABCDEFGCDB, ABCDEFGCDC, ABCDEFGCDD, ABCDEFGCDE, ABCDEFGCDF, ABCDEFGCDG, ABCDEFGCDH, ABCDEFGCEA, ABCDEFGCEB, ABCDEFGCEC, ABCDEFGCED, ABCDEFGCEE, ABCDEFGCEF, ABCDEFGCEG, ABCDEFGCEH, ABCDEFGCFA, ABCDEFGCFB, ABCDEFGCFC, ABCDEFGCFD, ABCDEFGCFE, ABCDEFGCFF, ABCDEFGCFG, ABCDEFGCFH, ABCDEFGCGA, ABCDEFGCGB, ABCDEFGCGC, ABCDEFGCGD, ABCDEFGCGE, ABCDEFGCGF, ABCDEFGCGG, ABCDEFGCGH, ABCDEFGCHA, ABCDEFGCHB, ABCDEFGCHC, ABCDEFGCHD, ABCDEFGCHE, ABCDEFGCHF, ABCDEFGCHG, ABCDEFGCHH, ABCDEFGCHI, ABCDEFGDAA, ABCDEFGDAB, ABCDEFGDAC, ABCDEFGDAD, ABCDEFGDAE, ABCDEFGDAF, ABCDEFGDAG, ABCDEFGDAH, ABCDEFGDBA, ABCDEFGDBB, ABCDEFGDBC, ABCDEFGDBD, ABCDEFGDBE, ABCDEFGDBF, ABCDEFGDBG, ABCDEFGDBH, ABCDEFGDCA, ABCDEFGDCB, ABCDEFGDCC, ABCDEFGDCD, ABCDEFGDCE, ABCDEFGDCF, ABCDEFGDCG, ABCDEFGDCH, ABCDEFGDDA, ABCDEFGDDB, ABCDEFGDDC, ABCDEFGDDD, ABCDEFGDDE, ABCDEFGDDF, ABCDEFGDDG, ABCDEFGDDH, ABCDEFGDEA, ABCDEFGDEB, ABCDEFGDEC, ABCDEFGDED, ABCDEFGDEE, ABCDEFGDEF, ABCDEFGDEG, ABCDEFGDEH, ABCDEFGDFA, ABCDEFGDFB, ABCDEFGDFC, ABCDEFGDFD, ABCDEFGDFE, ABCDEFGDFF, ABCDEFGDFG, ABCDEFGDFH, ABCDEFGDGA, ABCDEFGDGB, ABCDEFGDGC, ABCDEFGDGD, ABCDEFGDGE, ABCDEFGDGF, ABCDEFGDGG, ABCDEFGDGH, ABCDEFGDHA, ABCDEFGDHB, ABCDEFGDHC, ABCDEFGDHD, ABCDEFGDHE, ABCDEFGDHF, ABCDEFGDHG, ABCDEFGDHH, ABCDEFGDHI, ABCDEFGEAA, ABCDEFGEAB, ABCDEFGEAC, ABCDEFGEAD, ABCDEFGEAE, ABCDEFGEAF, ABCDEFGEAG, ABCDEFGEAH, ABCDEFGEBA, ABCDEFGEBB, ABCDEFGEBC, ABCDEFGEBD, ABCDEFGEBE, ABCDEFGEBF, ABCDEFGEBG, ABCDEFGEBH, ABCDEFGECA, ABCDEFGECB, ABCDEFGECC, ABCDEFGECD, ABCDEFGECE, ABCDEFGECF, ABCDEFGECG, ABCDEFGECH, ABCDEFGEDA, ABCDEFGEDB, ABCDEFGEDC, ABCDEFGEDD, ABCDEFGEDE, ABCDEFGEDF, ABCDEFGEDG, ABCDEFGEDH, ABCDEFGEEA, ABCDEFGEEB, ABCDEFGEEC, ABCDEFGEED, ABCDEFGEEE, ABCDEFGEEF, ABCDEFGEEG, ABCDEFGEEH, ABCDEFGEFA, ABCDEFGEFB, ABCDEFGEFC, ABCDEFGEFD, ABCDEFGEFE, ABCDEFGEFF, ABCDEFGEFG, ABCDEFGEFH, ABCDEFGEGA, ABCDEFGEGB, ABCDEFGEGC, ABCDEFGEGD, ABCDEFGEGE, ABCDEFGEGF, ABCDEFGEGG, ABCDEFGEGH, ABCDEFGEHA, ABCDEFGEHB, ABCDEFGEHC, ABCDEFGEHD, ABCDEFGEHE, ABCDEFGEHF, ABCDEFGEHG, ABCDEFGEHH, ABCDEFGEHI, ABCDEFGFAA, ABCDEFGFAB, ABCDEFGFAC, ABCDEFGFAD, ABCDEFGFAE, ABCDEFGFAF, ABCDEFGFAG, ABCDEFGFAH, ABCDEFGFBA, ABCDEFGFBB, ABCDEFGFBC, ABCDEFGFBD, ABCDEFGFBE, ABCDEFGFBF, ABCDEFGFBG, ABCDEFGFBH, ABCDEFGFCA, ABCDEFGFCB, ABCDEFGFCC, ABCDEFGFCD, ABCDEFGFCE, ABCDEFGFCF, ABCDEFGFCG, ABCDEFGFCH, ABCDEFGFDA, ABCDEFGFDB, ABCDEFGFDC, ABCDEFGFDD, ABCDEFGFDE, ABCDEFGFDF, ABCDEFGFDG, ABCDEFGFDH, ABCDEFGFEA, ABCDEFGFEB, ABCDEFGFEC, ABCDEFGFED, ABCDEFGFEE, ABCDEFGFEF, ABCDEFGFEG, ABCDEFGFEH, ABCDEFGFFA, ABCDEFGFFB, ABCDEFGFFC, ABCDEFGFFD, ABCDEFGFFE, ABCDEFGFFF, ABCDEFGFFG, ABCDEFGFFH, ABCDEFGFGA, ABCDEFGFGB, ABCDEFGFGC, ABCDEFGFGD, ABCDEFGFGE, ABCDEFGFGF, ABCDEFGFGG, ABCDEFGFGH, ABCDEFGFHA, ABCDEFGFHB, ABCDEFGFHC, ABCDEFGFHD, ABCDEFGFHE, ABCDEFGFHF, ABCDEFGFHG, ABCDEFGFHH, ABCDEFGFHI, ABCDEFGGAA, ABCDEFGGAB, ABCDEFGGAC, ABCDEFGGAD, ABCDEFGGAE, ABCDEFGGAF, ABCDEFGGAG, ABCDEFGGAH, ABCDEFGGBA, ABCDEFGGBB, ABCDEFGGBC, ABCDEFGGBD, ABCDEFGGBE, ABCDEFGGBF, ABCDEFGGBG, ABCDEFGGBH, ABCDEFGGCA, ABCDEFGGCB, ABCDEFGGCC, ABCDEFGGCD, ABCDEFGGCE, ABCDEFGGCF, ABCDEFGGCG, ABCDEFGGCH, ABCDEFGGDA, ABCDEFGGDB, ABCDEFGGDC, ABCDEFGGDD, ABCDEFGGDE, ABCDEFGGDF, ABCDEFGGDG, ABCDEFGGDH, ABCDEFGGEA, ABCDEFGGEB, ABCDEFGGEC, ABCDEFGGED, ABCDEFGGEE, ABCDEFGGEF, ABCDEFGGEG, ABCDEFGGEH, ABCDEFGGFA, ABCDEFGGFB, ABCDEFGGFC, ABCDEFGGFD, ABCDEFGGFE, ABCDEFGGFF, ABCDEFGGFG, ABCDEFGGFH, ABCDEFGGGA, ABCDEFGGGB, ABCDEFGGGC, ABCDEFGGGD, ABCDEFGGGE, ABCDEFGGGF, ABCDEFGGGG, ABCDEFGGGH, ABCDEFGGHA, ABCDEFGGHB, ABCDEFGGHC, ABCDEFGGHD, ABCDEFGGHE, ABCDEFGGHF, ABCDEFGGHG, ABCDEFGGHH, ABCDEFGGHI, ABCDEFGHAA, ABCDEFGHAB, ABCDEFGHAC, ABCDEFGHAD, ABCDEFGHAE, ABCDEFGHAF, ABCDEFGHAG, ABCDEFGHAH, ABCDEFGHAI, ABCDEFGHBA, ABCDEFGHBB, ABCDEFGHBC, ABCDEFGHBD, ABCDEFGHBE, ABCDEFGHBF, ABCDEFGHBG, ABCDEFGHBH, ABCDEFGHBI, ABCDEFGHCA, ABCDEFGHCB, ABCDEFGHCC, ABCDEFGHCD, ABCDEFGHCE, ABCDEFGHCF, ABCDEFGHCG, ABCDEFGHCH, ABCDEFGHCI, ABCDEFGHDA, ABCDEFGHDB, ABCDEFGHDC, ABCDEFGHDD, ABCDEFGHDE, ABCDEFGHDF, ABCDEFGHDG, ABCDEFGHDH, ABCDEFGHDI, ABCDEFGHEA, ABCDEFGHEB, ABCDEFGHEC, ABCDEFGHED, ABCDEFGHEE, ABCDEFGHEF, ABCDEFGHEG, ABCDEFGHEH, ABCDEFGHEI, ABCDEFGHFA, ABCDEFGHFB, ABCDEFGHFC, ABCDEFGHFD, ABCDEFGHFE, ABCDEFGHFF, ABCDEFGHFG, ABCDEFGHFH, ABCDEFGHFI, ABCDEFGHGA, ABCDEFGHGB, ABCDEFGHGC, ABCDEFGHGD, ABCDEFGHGE, ABCDEFGHGF, ABCDEFGHGG, ABCDEFGHGH, ABCDEFGHGI, ABCDEFGHHA, ABCDEFGHHB, ABCDEFGHHC, ABCDEFGHHD, ABCDEFGHHE, ABCDEFGHHF, ABCDEFGHHG, ABCDEFGHHH, ABCDEFGHHI, ABCDEFGHIA, ABCDEFGHIB, ABCDEFGHIC, ABCDEFGHID, ABCDEFGHIE, ABCDEFGHIF, ABCDEFGHIG, ABCDEFGHIH, ABCDEFGHII, ABCDEFGHIJ
Just how did I get these for n larger than say 5? Check out the CJam interpreter, and paste the code: "a"]{{_:e>)),97>\f{\+}}%:~}ri(*',*
and type say 5 for the input, and press Run. You're welcome!
Also, please check out my Experimental Poetry 6, where I discuss this further and show a spreadsheet I use to create rhyming poems.
Thanks for reading!
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