3 12000 5 0 AABAA ABABA BBABB BBBBB BBAAB BBBBA BAAAA BABBA BABAA ABAAA BBBBA BABBB AABBB ABABB AABBA BBABA ABBBA ABBAB AABAB BBAAB BBBBB BBBBA ABBAB AAAAB BABAB BAABA BBBBB AAAAA AAABB BAABA AABBB ABAAB ABBAA AAAAA BAAAB BABBA ABAAB BABBA ABAAB BABAB AAAAA BAABB BABAB BAABA BBBAB ABABB BABBB BABBB ABAAA BABAB AAABB BABBA BBBAA BBBAA ABABA BBBAA ABBAA AABAB BAABB ABBAA ABAAB BABAA AABAA ABABB AAAAA ABABB BBABB AABAB BAAAA ABAAB BBABB BBBAB ABBAB AAABA BBABA ABABA ABABA ABBAA BAABA BABBB AAAAA BBABA BAABB AABAB BBAAB BBAAA AAAAB BAABA AABBB BABBA AAAAA BAABB ABBBB BABBB AABBB BBBAB ABBAA BABAB ABAAB ABBAA BABBA ABABA AABAA AAABB BBABB BBAAB BAABB ABBBB ABBAB AABAB BBABB AAABB ABBBA ABAAB BBBAB ABAAA BABBA BBABB BABAB BBAAA BBAAB ABBAB BBBAB AAAAB ABBAB ABBAA AAABA AAAAA ABBAA BBAAB BBBBB BAABA BAAAA ABAAA BBBBB BAAAA AABAA BBBAB BABAB AAABB ABAAA BABAB BBBBA AAABB BBAAA BBBAA BBBBB BBAAB ABABA AABAB ABAAB AABBA BABAA AABBA ABBBB AAABB AAABB ABAAA BBBBA BBABA BBBBA BBBAA BBAAA BAAAA AABBB BAAAB ABBAB ABBBA BBABB ABBAB BABBA ABABA AABAA BABBB BABAB BABAB BABBB BBBBB BABAB AAABB BABAA ABABB AABAB AABAB BBAAA AAAAB BBBAA BAABB BBABA ABBAA BBABB ABBAB BAABB ABBAB BABBA BBBAB BABAA BAABA AAAAB BBAAB BABBA BAAAB AAABA AABBA AAABA BABBA BAABA BBBAB BAABA BBBAA BABBB BBAAB ABABB BAAAA ABABA BBBBA BBBAB BABAA AABBA BAABA BABBA AAAAA ABAAA AAABA BAABA BAAAA AABAA AAAAA BAABB ABBBA BAABA ABABA BBAAB BBBAA ABABA ABBAB BAABA ABBBA BBBAA BBAAB AAAAA BBBAA ABBBB BBAAB BAAAB AABBA AAAAB AABAB BAABB ABBAA AAABA BAABB BABBB AABBA AABBA BBBAA AABAB BAAAA AAABB BBAAA BBBAB ABABA BABAB BBAAA BAAAB BABBB BABAA BAABB AABBB ABBAA ABBAA AAABA BAABB BBBAB AAABB AAABA AAAAB BAABB BAABB AAABA BBAAB BAAAA AABBA ABABB BBBAA ABBAA ABABA BBABB ABBBB ABBAB AABBB AAABA BBABB ABBAA ABBAB BAAAB ABABA AABBB BBBBB BBBAA ABABB BBBBA ABBBB ABAAB ABABB BBABB BBBBA AABBB ABBAB ABAAA AAAAA BAABB ABAAA ABBAA BAAAB ABAAB AAABB BBABB BABBB BBAAB ABABA ABBBB BBBAB BBBAB ABBAA BBBAB BABBB BBABA ABABA BBBAA BBBBB BBBAB BABBA BAAAA BABAB BABBA BBAAA BBAAA BBABA BBBAB BBBBB AAABA BAABA ABBAB ABBAA AABBB BBABA AAAAA AAABA BBAAA AABBA ABBBB ABBBA AABAB BABAA AABBB AABBA AABAB AABAA AAABB BAAAB ABAAA BAAAB BBBBB BAABA ABABB BAAAB ABAAA ABBBA ABABA BAABB BBBBA BBABB ABBAA BBBBA BAABB BAAAA BBAAA BABAB BAABA BBABA BBBBA BABAB ABAAB AAAAB ABBBA BABAB AAABA BABBA BBAAA ABBAA BBAAA BBABB ABBAB BABAA AABAA BABBA BBBAB BAAAB AAABB ABBBB BAABA AAABB BBBAA BABBA ABBBB BABBB BABAA BBAAA BABAB BBAAA BAAAA BAAAA BAAAB AABAA ABABB ABAAB ABBAB AAABA BAABA ABBBA BAABB BABBB BBAAB BBAAA BBABB BBBBA BABAA ABABA AABBA AAABA BAAAA BABAB ABABA ABABA BBAAA BAAAA BBABA BABBA AAAAB BBBAA BBAAA AABAB BAABB BAABA ABAAB BBBAB BBAAA AAAAB BABAA AABBA BBABA AABAA BBAAA ABBBB BBAAB BBAAB BAABA BABAB ABAAB ABAAA ABBBB ABAAB ABBBB ABBAB ABBBB AAABB AAABB AABBA ABABB BABAB BBAAB AAABB BAABA AABBB BAAAA AAABB ABBAA ABBAB BABAA ABABB BBBAB AABBB AABAA BBBAB BAABA BBBAA AABAA ABABB BBBBA AABAB BBBBB BBBBB AAAAB BBAAB BABAA ABBAB BAAAB BBAAA BABAA BBBAA BABBA AAAAB ABBBA BBAAB AABAA AAABB AABAB BABAB AAABB ABABA BBBBA ABAAA BBAAB AAAAB BBBBB BBBAA BBBAB BAAAB BBBBB BBAAA BBBAB ABAAB ABBAA AAAAA AAAAA AABBA AAABA BBBBA BABAB BBAAB ABBAA BABBA BAAAB BBBBB ABBBA BBBAA BBAAA AABAB BABBA AABBA BABBB BBBBB BBABA BBBAA AABBA AABBA BABAA BBBAB BABBA BBABA ABBAB BBBAB ABAAA AAAAB ABAAA ABABB AAABB BAABB AAAAB BBBBB BABBA ABBBB BABAA AAAAB AAABB BBAAA BBBAA AAABB AABBB AABAA BBAAB BAABB ABBBB BAABA BBABB ABBBA AAABB BBBAB BABBA BBBAA BABBB BBBAA BABAB BBBBB BBABB BABBB BABBB BABAB AABBA BBBBA BAABB AABBB BBABB BABAB AAAAA ABBAB AAABB ABABB ABABA AABBB BBAAB BAABA ABABB BAABA AAAAB AABBB BBBAA BABBB ABAAA BBABB AAAAB AAAAA ABABA BAAAB BAABB BABBB BBBBA BABAA BABBB BABBA BABAA BBABA BBAAB ABBBA AAABA BBABB ABBAA ABBBA ABBAA ABABA ABAAA BAAAA BABAB AABAB ABBAB BABAB BBABA ABAAA ABAAB ABABA ABBBA BBAAB BABAA AABBA ABAAA ABBAA ABABA AAABB ABAAB BBBBB BBBAB ABBBB BBBBB BBBAA AABAA ABABA ABABB ABAAB ABAAB AAAAB AABBB ABABA BAAAA BAABA ABAAA BBBAB BAABA BAABA BABAA BABBB BBABB AABAB AABBB BBBBB AABAA ABABB ABAAA AABAB ABBAA BABAB AAAAA ABABA BBBAB AAABA BBABB BBABB AAAAB ABAAB AABAB BBAAB BBBAB ABAAB BBBBB BAAAB BBBBB BAABA ABBBA ABAAB ABAAB BAAAA BAAAB BBBBA BBABA AAABB AABAB AAAAB AABBB ABBAB ABABB AAAAA BABBA BAABA BAAAB BBBAB BAAAB BABAB BABAA BAABA BABBA BBAAA BBABB ABBAB BBABA BABBB ABABB AAAAB ABABB ABBBB ABBBA AAAAB AABBA BBBAA BABBB AABAB ABBBB ABBAA ABAAB ABABB BAABB BBABA ABABB ABBAA ABBAA BAAAA BBAAA AAABB ABAAB BABBB AAABA BBBBB AAABB ABBAB ABBAB AABAB BAAAA AABAB BBBBA ABBAB BABAB BBAAB AAAAB BBBAB ABBBA BABBB AAABB BBABB ABBAA BAABA BBABA AABAA ABBAB BAABA BBBBA ABBBA ABABB BABBA BBABB ABBBA BBAAA AABAB AAABA AAABB BABAB BAAAA BABBA BBBBB BBBBB AABAB BBAAB BBBAA BAAAB BBBAA BABBA BBBBA AABAB BBABA ABBBA AABBB BBABA ABBBB ABBBB BBBBA BAABB AABAA BABAB BBBBB BBAAA BBABA BBABB AABAB AAABB ABAAA ABBBB BBBBA AABBA BABBB BAABA ABABB BABBA AAAAB AAAAA ABBBB BBBAB AABAA ABABA AABBB BABAA AABBA BAAAA AABBA ABBAB BBABA BBBAA BABBB ABABA BBBBB BBAAB ABBBA BAAAB BAAAB BBBAB ABAAB AAABB BAABA BBABB ABBAB AAABB AABBB BBABB BBAAA BAABA ABBAA AAAAA ABAAA ABABA BAABB AAABB AAAAB BBBAB BBBAB BAAAB AABAA BBBBA BBAAB ABAAB AAAAB ABBBA BBAAB ABBAA BABBA BAAAA BBABA ABBBA BBBBB BAAAA BAAAA AAAAA AABAA BABAB ABABB BBABB ABABA BBAAA BABBA BBBAA ABBAA ABABB ABBBA BBBBA BAABB BBBAA ABAAB BBABB BBABB BBAAA BBBAA AAABB BABBB ABBBA BBAAB AAABA BABBB BBBBB BABAA AAAAA ABBBA ABAAA ABABB ABBAB ABABB BAAAA ABABA BBBAA ABBAA BAABA AAABB AAABB AABBA AABAB BAABB BABAA BBABB BBAAA ABABA AABAA BAABB AAAAA AABAA AAABA AABBB BABAA AABBB BBAAA BAABB BAAAA BABBB BAAAA AAABA ABABB BBAAB BAABA BABAB BBBBB AAAAB BAABB ABBBB BBBAB AABAB ABABB BBAAB BABAA AABAA BBABA ABBAB ABBAB AAABB BAABA ABBAB BABBA ABABB BAAAB BABAA BBBBA BABBB BABBA BBAAA BBBAA AAABB BABAB AAAAB BBBBA AAAAA BBBBA AABAA BBBAB AAABB BBAAA BBAAA BABBB ABBBB AABAA BABAA ABAAA AAABA BBBBA BBBAA AAABB ABBAB ABBBB ABABB BABAB BBAAB AAAAB AAABB AABAA ABABB BABBB BBBAA AABAB BBABB BBBBB BBBAB BBABB AAAAA AAAAB BBBBA ABBAA BBBAA BABAA BABAA AAAAB BBBBA BBAAA BBBBA AABBB BABBA BBBBB BBBAB AAABB ABAAA BBAAA ABBAA ABABA BABAB BBABA BBBBB BBAAB BBBBB AABBA BABBA BBAAB AABAA BBBAA ABAAB BBBBB ABAAB BAAAB AABBA AAABA AAABA AAABB ABBAB BABBA BABAB BBAAA BBABA ABABA AABBB BABAA BABAA ABABA ABAAB AAABB BAAAB ABABB BBAAB ABAAB ABBBB ABBAA BBABB BBBAA BBBAA BAABA ABAAA ABBBA BAAAB ABAAA ABBBA BABBB AABAA ABBBA BAABA BBAAB BBBBB ABBAB BBBAA ABABA BABAB BAABA ABBBA BBBAB ABAAA BBBBB AAAAB BABBA AAABB BBBBA BBAAB ABAAA BABBA ABBAA BBAAB AAAAB ABABA BBBAA BBBAA BBBBA ABABA AABAA BAABA AAABB ABBBA ABAAB BAAAA ABBAA BABAB BABBA AABBA BBAAA ABABA ABBBA BABBA AAAAA BBBBA ABABB BBBAA ABBAB ABAAA BAABB BBAAA BAABB ABAAB AAABB ABBBB BBBAA AAABA ABABA BABBA BBBAB BBABB AABAA AABBA ABBAB ABABA BAABA ABABA AAABA AAAAB ABBBB AABAB ABABA AAAAA BBBBB AAAAB ABBBA AAAAB ABBBA ABAAB ABABB BABBA AABBB BBAAB ABBBA BAAAA BBABA BBABB BBBAB AABAA AABAB BAAAB AABBB BABAA ABABB BBABB AABBA BAAAA ABBAB ABBBB ABAAA AAABA AAABA AAABA AAAAA BAABB BBABB AAABA BBABB BABBA BBBBB AAAAB BBAAB AABBB ABBAA BAABB BABBA BAAAB ABABA ABBAA AAAAA BABBA BBBBB AAAAB BAABA BABBA BBBAA BBBAB BAABA BABBB AABBA ABABB BBAAA AAABA ABBAA BAAAA ABBAA ABAAB ABBBB BAAAB AABBB ABBAB BBBAA BABBB ABBAA AAAAB BAAAB BBAAA BBAAA BBABA AABAA BBBAA BBBAB AABAB BBABA BABBA BABBB BBBBB ABAAB BBBAA ABAAB BBBAB BBBBA BBABA AAAAB BABAA ABABB AABAA ABBAB BAAAB AABBA ABBAB ABBAB ABBBB BAABB BBABB BBBAB BBBBA ABBAB AAABA BAAAB ABABB AAABB BBABA ABABA ABBBA BABAB ABAAB AABBA AABAB AAAAA ABBAA BBBBA AAABB BBAAA BBABA BAABB ABBBB BBABB ABBBB ABAAA BBABA BBAAA BBAAA BBBBB BBABB BBBAB BBBAB BAABB BBAAA BABAA AAABB ABBBB ABABA ABBAA AAAAB ABBAB BBABB AAAAB AAABA AABBA AABAB ABBBA BAAAB AABBB BABAB BBBAA BBAAA AABAA ABBBA BBAAA BAAAA ABBAB ABABB ABBAA BBAAA ABAAA BAABB BAABA BABAA BAAAA BBBBA ABAAA ABBAB ABABB AABBB ABBAB AABAB BAAAB AAAAA AAAAA BBABB BBABA AABBB BBAAB ABAAA BABAB ABAAA ABAAA AAABB ABBAA BABBB BBBAB BABAA ABABB BBAAB BAABB AABAA BABBA BAABA BBBAB AABBA BBBBA AABBA BAABB ABBAB AABAB BBAAA BBBAA ABBBB ABBAB ABAAB BBBBB ABBBB BABBB ABBBA BAAAB BAABA ABAAA AAABB AABBA BBBBA AAABB BAAAB AABBA BBBBB BAABA ABBAA ABAAB AABBA ABAAA AABAB BBAAB BABAA ABBBB AABAB BAABA BAAAB BBBAB ABBBA AAAAA AAABA ABAAA BAAAA AABAA ABAAB AAABA AAABB AABAB AABAB BBAAB ABABA BBAAA ABABB AAAAA BBAAB ABBAA AAAAB AABBA BABBB BAAAA AAABB BAABB AAABA BAAAA AAAAB AAABB BAABB BABAB BBBAA BAAAA AAAAB ABBBB BABAA ABBBA BBBBB BBAAA ABBAA BABAA ABBBB ABBAB ABBAB AAABB ABBAB BABBB BBBAB ABABA BBABA AABBA ABABA AABBA AAAAA AAABB BABAA ABABB AAABA BAABA ABBBA AAAAB ABABA BABBB BBBAB BBABB AABAA ABBAA ABAAA AABBA BAABB BABAA ABABB BABAA AABAB BBABB ABBAB BBBAB BABBA ABBAA BBBBB ABAAA BAABB AAABB BBABA ABBAB AABAA AAABB BAABB BAAAB ABBBA AABBB BBABA AAAAA BABAA ABBAA BABBB AAABB BABBB AAAAA BAAAB AAABB BAABB ABABB AAABB ABBBA AAAAA BBBAA BABBA BBBBA ABBAB AABBA BABBB ABBBA BABBA ABBBB AAABA AABBA ABBAB BBBBA BABAB ABAAA AAAAB BABAB BABBA ABABB BBBBA BBBAA AABAA BBBBB BBBBB BBBBB ABBAA AABAB BABBA ABBAB BAAAA BAAAB BAABA BBABA BABBA ABBAA BBAAA AABAB AABBB BAABB BBAAB BBBAA ABBBB AABBA BABAA BABBB BAAAB ABBBA BBAAB ABABA ABBBB BBAAB BAAAA BAAAA BBBAB ABBAB ABBBB AABAB ABABA BBBBB BABBA BBBAA ABAAA BAABB AAAAB ABBAA BABBA BBABB BAAAB ABABB BAAAB BBBBA AABBA BABBB ABAAA AAAAB BBBAA AABBA BAAAA BBBBA ABABB AABBB BBBBA BAABA AABBA BAABB ABABA AAAAB BAAAB ABAAB ABABB BBBAA BAABB ABABB BBABB BABAB BAAAB BBAAB BBAAA BBABA BAAAB BABBA AABAB BBABB BBBBB BBBAA BBBBA ABBBB ABAAA BABAA AAAAA BBBAB ABBAB ABBAB AAAAA ABAAB BBBBA ABBBB BAABA ABABA AABBA BBBBA BBAAB AAABA ABAAA BBAAB AABBA AAAAB BAABA AABAA AABBB AAABA ABBAB AABAB AABAB BBABA BAABB BBBAA AABAB BBABA ABAAA BBBAA AAABA ABBBA ABBBA ABBBB ABBBA ABBAA ABBAA ABAAB BAABA ABBAB BAAAA AAAAB BBABB ABBBB BAABA BAAAB ABBAA BAABB BABBA BBBAB BAAAA ABBBA BABAA BAAAB AABBB ABAAA ABBBA BABAB BBABA AAAAA ABABB BBBBB BBBAA ABABB BAAAA BBAAB AAAAA AABAA ABBBA ABBBA ABAAB ABABA AABBA BABAA BAABA ABABB BBBAA BAAAB BBBAA ABBAB BABBB ABBBA AAAAB BABBA BBBAA AABAA AABBA BBABA AABAA BBBBA BBAAB AABAA BBBBB ABBAA BAABA BABAA AABBA ABBBB BABAB BBABB BBABA ABABA BABAA AABAA BBABB BAAAA ABAAA BBABB AAAAA BABAB ABBBA BAABB BABBB BBABA BBBAA AAAAB BAAAB ABABB AABBA BABAA BBABB BABAB BABBA BBAAA ABABB AAABA BBABB ABAAA BBBAA BABAA BABAA BBBAB BBAAA BBBBA AAAAA ABBAB ABBAA ABABA BBBAA ABBAA ABBBA AABAA BAABA ABABA BBBAA ABAAB BABBB ABBAA BABBB BBBBA BBBAB ABBBA BAAAA AAABB BBBBA BBBBB AABAA BBBBB BBAAB BBAAB BABAB ABAAB BBBAA AABBA BABAB BBABB AABAB ABABB BAAAA BBBAA BABBA BABBA BBBAA ABBAA ABAAA BABBA BAAAA BABAB ABAAA AABBA ABBAB ABABB AABBA ABABA AAABB ABABA BABBB BABBB ABABB AAAAB BAAAB BBBAB AAABA AABBB AAAAB BBABA BBAAB BABBB BBBBB BBBAA ABBAA ABAAA BBABB BABBA BBBBA AABBB BABBA ABBBB AABBB AAABA BBABB BABBB BBBAB BBAAA ABAAA ABABA AAAAB ABABA ABAAB BAAAB BABAA ABBBB ABAAA BBABA ABABA BBABA BBBAA ABBBB AABAB BBBAB BAAAA ABABB ABBAB AABAB BAAAA AABAB AABAB AABBA BBBBA AAAAA BABAA AAABB AABBA BAAAB BBBAB BAABB AAABB ABBBA BABAB AAAAA ABBBA BBAAB BABBB BAABA ABABB ABAAB ABBAA BBAAA ABAAB ABAAA ABAAB AABAA ABBAA ABBBB AABBB BBBBB BABBB BBAAB BBABB ABBAB ABAAA BBAAB ABABA ABBAA ABAAB ABBAB BAAAB BAAAB BABAB BABAA BAAAB BBAAA AAABB BBAAA AABAB ABBBB ABBAB ABABA ABAAA ABABA BBBBB BAAAB ABBBA BABBB AAABA BBBAA BAABB BBABA AAABA ABABA AABBA ABAAA ABABB AABAA ABAAB BAABB BAAAA ABBBA ABBAB BABAA AAABB AABAA BABAB BABAA AABAB BABAA BAABA BAABB ABAAA ABBAA BBBAB AAABA AAABB BBABA BAABB BBAAB AABBB BBBBA BABAA BBBAB ABAAA AAABA BBAAA BAABA ABAAA BAAAB AAABA ABBBA AABBA AAABB AABAA BBABB ABBAB BBAAA AABBA AABAB BBABA BBBBA ABBBB BAAAA AAAAA BBABB BABAA AAAAB ABBAA BBBAB ABBBA BAAAA ABAAA ABBBB ABABB ABBBA ABBAB ABBBB BABAA BBBAB ABAAA BABAA ABBBA ABBAB BBABA BAAAB BABAB BBABB BAAAA BABBB BABAA ABBAB ABBBB BAAAA ABABB BBAAA AABAB ABABA AAABB BABAA AABBA AAAAB BABBA BABAA BABBB ABBAB BBBAB ABAAA ABBAA BBBAB ABABB ABAAB ABBAA AABBA AAABB ABBBB ABBBB BABBB AABBA ABAAA ABBBA AABBA BABAA ABBBB BABBB AAABB AAAAB AAABB BAABA BABBB BBABB AAAAB ABBBB AABAA BBABA AABBB AABAB ABBAA BABBB ABABA BAAAB BAAAB ABABA AAABA BBAAB BAABA ABABA BBBBB BAABA ABAAB BABAB AABBA BABBA AAABA BBBAB BBAAA BBBBA ABAAA AABAB BBBBA BBAAA BBBAA AAABA BABBA ABBBB BBBBB ABBBB BAABA AABBA BABBB AABAB BABBA ABBAA BBBAA ABAAA BBBBA AABAA AAABB BBAAB AABBA ABAAB ABBAB ABABA AAABB AABAB BBBAB AAABB BBBBA BBBBA AAAAB BBABA ABBBA AABAB BAAAB ABBBA BAABB AABBB ABBBA ABABB BBBBA AAAAA BAAAA BBBBB ABBBB ABAAB BBBBB ABAAA BBABA AAABA AABAA BBBAB BABAB ABBAB ABBAB BABBA AAAAB BAAAB ABBBA AAABA BAAAA ABABB ABAAA BABBA AAAAA ABABB AABAB AABBA AAAAB AAAAA BABAA BABBA BAAAA AAABB BAAAA BBAAA ABABB BBBBB BABAA BBAAA ABAAA AAABA AAAAB BABAA ABBAB BBBBA ABBBB ABBAA BABAB ABABB BAABA BBAAB BAAAB BAAAA ABABB AAAAB BBAAA BABBB ABABB AABAB BBBAB ABBBA AABAB ABBAA BABBB BBBAA BBBBB BABAA ABBBB BAABB BAABB BAAAA ABABB BBABB BBBAB ABBBB AAAAB BAAAA ABBBB BBBAA ABAAB ABABB BAAAA BBBBB BABAB AABBA BBBAB BABBA BBAAB ABBAB BAABA BABAB ABBBB BBABA BBBBA AAABA BBAAB BABAB BBAAB BABAB BABBB BABBB BBABA BBBBB BAAAB ABBBA AABAA BAABB BAABB BBAAB BABAB ABABA BABBA AAAAA BABBB AAABA AABAA BBBAA BABBB BBBAA AAAAB AAABB BABBB AABAB BAABB AABBB BABAA BBAAA BABAA BBAAA BABAB BABBB BAAAA BAABB AABAA BAABA ABBAA ABABB AAABB ABBBA BAAAB BAAAB ABBBB AAABB AABBB ABABB ABBAB AAAAA ABABA AABAB AAAAA BBABA ABAAA BAABA AABAB ABBBB AAAAA ABBAB BBAAB ABBAA BAABA BBBBB AABAB BBBAA ABABB ABAAB BBBBA ABBBB BBBAB BBABB BBAAA BAAAA AABBB BBAAA ABBBB AAAAA BABBB BBBBA AABAA BBBBA AABBB ABABB BBBBA ABABB AAABA BBBAA BBABB BABBA ABBBA AAAAA BAABA ABAAB ABBBB ABBBA ABAAB BBBAB BABAA AAAAA ABBAB ABABA BBABA BBABA BBAAA ABBBB ABABA BAAAA ABBBB AAABA BABBA AAABB BABBA ABBAB AAABB ABAAB BAABA BBABB BBABA BBABB ABABB BBABB BBBBA ABAAA BABAB BABBA ABBAB BBAAB ABAAB BABAB AABBB BBBAA BABAB BBBBA AAABB AAABA AABAA BABAA AABAA ABAAB BBABB ABBBB AAABB ABBAA AAAAB AAAAB BBBBB BBAAB AABBB ABBAB AAABA BBBBB ABAAA ABABB BABBB AAABA AABAB BBBBB AAABA ABAAB ABAAB AABAB BABAA ABBAA AABAB BAABA BAAAB BBABA BBABA ABBBA BABAB BBBBA BABBA BBBBB AABAB BAABB ABBAA BBABB AABBB BBABB ABABA BAAAA AABBB BABAB BBBBA ABABA ABBAA AAABB ABBBB BBBBB ABAAA ABABB ABBBA BABBA ABABA ABABB BABBB BABAA BABBA BABAB ABAAA BBABB BBBAB AAABA BBBBA ABAAB BBBAA BABBA BABBB BABBB ABBAB BBBBA BBBBA AABAA BABBB AABBB ABBBA BBBAA BBABB BAABA BABBB ABABA BBBAB BBBBB AAABB BBAAA BBAAB ABABB AABBA BAAAB BBABA AABAB AAAAA BABAA BBAAA AABAB BBAAA BBAAA ABBAA AABAA AABAB ABAAA ABBBB AAABB ABBAA AAABB AAABB AAABA ABAAB BBBAB BBBBA BABBA BAAAB AAABB BBBBB BBBBB BBBAA AABBA BABBB BBBAA AAABB BABBA AAABA BBBBA BAAAA BABBA ABBBB BBABB BAABB AAAAB ABAAA BBBAA BBABB ABBBA AABBA AAAAB ABAAA BABBA ABBAB BBAAB ABABB BBBBB ABAAA BAABB AABBB BBBBB BBBBB ABABB ABBAA AABBA BBBBA BBBAA ABABB BBAAA ABBAB AAABA ABBBB ABAAA BABBA BBBBA BAAAB AABAB ABBBB BBBAB ABABB ABBBB BBBBA BBABB ABBBB AAAAB AAABB BAABA BABAB BBBBA BABAB BAABA AAAAA BABBA AABBB BABAB ABBBB BABBA ABABA ABAAA BBABB BAABA ABBBA ABAAB BBBBB BABBA BAAAA BBBBB BAAAB AABBB AAAAB BBAAA BABAA ABABA AAAAB AAABB BAAAB BBBAB BBBAB BAABA BABAB ABBBB AABAA BABAB BBBBA ABBAA ABBBA BBAAA BBABB ABBAA BABAB AAABA BBBAB BBBBB BAABA AABBA BABAA BBBAB AABBA ABBBB BBBAA BBABB AAABB BAABB ABBAA BAABA AABBB BABBB ABBAB BBBBA AABAA ABAAB BAABB ABABA BBABA BAABB ABBAA BBBBB BAABA AAABA AAABB ABABA BBABA BABBA ABABA BAAAA BABBA AAAAA BBAAA ABAAA AABAB AAABB BABBB BBBBB BBAAA ABBAA ABBBB BABBB BAABB ABABA AAABB BABAB ABBBB BBAAB ABABA ABABA ABAAB ABABA BABAA AAABA AABBA BBABA AAAAA ABBBB BABAB BBBAA BAABB BABBB BBAAB BAAAB BABBB ABBBB ABBAB BAAAB AABBA ABAAA ABAAA ABBBA BBBAB AABBA BABAA BAAAA ABAAA BBBAB BBABA BBABB AAAAB AAABB ABBBB AABAA BABBA ABBBA AABAB ABBAB AABBA AAABB BBAAB BAAAB BABAB ABABB ABAAA BABAA BBABB AAAAA ABABB BBBAB BAAAB BBBAB BBBAB BABBB BAAAA ABAAB BABBB ABBBA ABABB AAAAA BABBB BABAB BBBAB ABAAA AAABB BAAAA BABBA ABAAB ABBAA BABAA AABAB AABBA BAAAA AAABA AAABB AABBB BAAAB ABABA AAABB BAAAB ABBAA BAABB BBAAB ABBBB BBABA AAAAB ABBAB ABAAA AAAAB AABBA AAABA ABBAA BBAAA BBBBB BBBBA ABBAB BBABA AABBB BAABB BABAB BBBAB AABBB BBAAA AABAA BBAAB AABAA AAAAA BBBBA BBABA BBAAB ABAAA ABBBB BAABB AAAAA BBBAB BBABA ABBAA ABABA BBBBA BBAAA AAABB ABBBA ABBAB ABAAB ABBAB AABAB BBABA ABAAB AABBA AABAB ABBAA AAABB AAABB BAAAB AABAB BBBAA BABAB BABBA BBBBA BABAA BBBBA BBBBB ABBAA ABAAB BAAAA ABAAB BBAAA AAAAB ABABB BAAAB AABBA ABBBA ABBAA BBBAB BBBAA AABAB BAAAA AABBB AABAA BBABB BABBB BBBBA ABBAB BBBAA BBBBA BBBAA BABBB AAAAA AAAAB BAAAA BABBA BBBAB ABBAB ABABB AAABB BBABB BABAB BABBB ABBAB BABBB AAAAB BBABB BBBAA BAABA BBBAA AABAB ABAAA ABABA AAABA BBBAA ABAAA BABAB AAAAA BABBB AAABA BBAAB ABABA ABAAB BABAB BBAAA AABBA ABBAB AABAB BBAAA ABABB AAAAB ABBBB ABABB BBABA AAAAA BBBBB ABABB AABBA AABBB AAAAB BABBB BBABB ABABB AABAA AABAA BABAA AAABA ABBAB AAABB BBABA BBBAB BBBAA ABABA BBAAA ABAAA BABBB ABABA AABBA AAAAA BBABA BBBAB ABBBA BBBAB AABAA ABBAB ABAAB BBAAA ABBBB BBBAB ABBBB ABBBB ABAAA BABAA ABBBB BAAAB BBAAA AAAAB AABAB AAABA BBABB BBBAA BAAAA AAABB ABBAB ABBBA BAAAB BBBBB BBBBB BABBA BABBB BBABB BABBB AABBB ABBAA ABBBB BBBAB BABBB ABABB BAAAA AABBA BAAAB BABBB BBAAB BABBB AABBA BABAB AABBB BBBBB BABBB AABBA AABAB ABBBB AABAA BABBA ABAAB AAABA AABBB AABAB AABBB BABAA BABAA ABABB ABABA BABBB BBBBA AAAAA BBAAB AABAB BABBA BAAAB BAAAB AAABA BAABA AABAB AABAA BAAAB AABBB ABABB BBBAA BAAAA BBBBA ABAAA BBABB BBBAB AAAAA ABABA BAAAA ABAAA BBAAB BBBAB BABAA BABAB BABAB ABBAA BBABA ABBAB BABBB BABAA BABAA BBAAB BBABB ABAAA ABABA BBBBB BBAAA AABAA ABBBB AABAA BBABB ABABB AABAB AAAAA ABBAB ABAAA AABAB AABAA BBABA ABAAA ABBAA AABAA BABAB BBBBA BABAA BBAAA ABBAA ABABA BAAAA ABBAA AABAA AABAB AABBA BBBBB AABAA ABAAA BBABA BBAAA AABAB ABABA BABBB BBBBA BBBAB AABAA BABBA AAAAA BBBAB ABBBB AABBB BABBB BBBBA ABABB BBAAB BAABB BABAB ABABB ABABA AABBA BABAB AAAAA BBBBB AABBB AABBA ABABA BBBBA BABAB BAAAA ABAAB AABBB BBBAA ABABA BBAAA ABBBA AAABA BBAAA AAAAB BBAAB ABAAB BBBBB BBAAB BBBAB BABAA BBBBB AABBB AABAB BBABA ABABB BBBAB AABBA BBBBA AAABB BAABB BABAB BBAAB AABAA BABAA AAAAB AABBA ABBBA AAABA BBAAB BAABA BBABA BABAA ABABA BBABB AABBB ABAAB BAAAB AABBB BABAA BABBB AAABB ABABB BBAAB BABAA AABAB BBBAA BABBB BBBBB ABBAB ABAAA AAAAB ABBAA BABAA AABAB BBBAA ABABB BBABB BAAAB ABABB BAABB BAAAB BAAAA BBAAB BABAB BAAAB BAABA BBAAA AAABA BAABB BBBBB BBAAB BBABA BBBAA AAAAB BBBBA BABBB ABBBB BBBBA ABAAB BBBBA AABAB BBBAB AABBB BAABA BABBB BBBBB ABBBA BABAA ABBAB BABAA ABABB ABBBB BBBAB ABAAA BBAAB BBBAA BBAAA ABABB ABABA AABBB ABBAB ABABA BABAA BAAAB AAABA BBBAB BBBAB ABBBB ABBBA ABAAB BBBAA ABAAA ABAAA BAABA AAABB AABAB ABABA AAAAA BAAAA AABAA ABBAA AABBB BABBA BABBA BBAAA ABABA ABBAB ABAAB BAABB BBBBA BBABB BBBBB BAAAA ABBAB ABABA ABABB BAAAA AABAB BABAA BBABA BAAAB BBABA BBBBA BAABB AAABB ABABA BBBBA ABBAB BBBBA ABABA ABBAA ABAAB ABBAB BAABB AABAA ABBBA AAAAB AAAAB BABBB BAABA BABBB BBBBA BBBBA BABAB BBBBB ABBAB AABAA ABBBB ABABA BABBA BABAA ABABA AAABB ABAAA BBBAB ABBAB AAAAB AABBB BAAAA BBBBB BABBA BBBBB ABABA AAAAB BAABA BBBBB BABBB BBBBB AAABA BABBB BABBA BABAB BABBA BAAAA ABABA AAABB BBBBB BAAAB AAABB ABABB ABAAA AABAB ABAAA BAABA BABBB ABAAB ABAAA AABAB ABAAB ABBAB BAABB BABBA ABABB BBABB BBAAB BBBBB BBBBA AABAA AABAB ABBBB ABBAB BBABA BAAAB ABAAA BABBA BAAAA ABBAB AABAB BBABA BBAAB BAABB ABBAB ABABA BABAA BABAB BBBAA BBBAA BAABA BABAA ABBAA BBBBB ABBBA BAAAB BABAB AAAAA AABAB BBBAA BAABB BBAAA AAAAA ABABB BABAA BBABB BABBB ABAAB BBABA ABAAB AABAB ABAAA ABABB AAABA AABBA BBBBA BBBBB BBABA AABBA AAABA AAABB ABAAA ABBBB ABBAB ABBAA AABAA BAABA ABABB BBABA BBBBA ABBBB BAABA BBAAB AAABB AABBA ABABB BAAAA BABAA BBBAB ABABA BABAA ABABB BBABB AAAAB BBABA ABABB AAAAA BBBBB BABAB ABAAB AABAA AAABB BBBAB BAAAB BBBAA ABBAA ABBBA BBAAA ABBBA AABBA BBAAB AAAAA BBBAB ABBBB AAAAB BABBA ABABB BABBA BBABA BAABA BABBB ABBBB BBAAB BAABA AABBB BAAAA BBAAB ABBBA ABAAB AAABA ABBAB AAAAB AAAAB BBABA ABABB BABBA BABBB BAABB BABBB BBBBB BBAAA BBBAA BABBB BABAA AAABB ABBBB ABBBB BABBA ABABB ABBAA BABAA ABAAB BABBB BAAAA BBAAA BBBAA BBABB BBAAA ABAAB ABBBA AABBA ABBAB BBBBA BBAAB BABBA BBABA BBBBA BABAA BBBBB BAAAA BBABB BABAB BABBA AABBA ABABB AABBB AAABB ABABA BBABA ABAAA BABAA AABAA AAAAA BAAAA BBAAB BABBA AABBB BBABB BABAB BAAAA BABAB BBAAA ABBBB BABBA BBAAB BAABA BAAAB BBAAA AAABB AABAB BAAAA BABAB BABAB AAAAA AABBA BAAAB BAABB BAABB BABBA ABABB BBBBB BBBAB BAABA BBBBB BABBA ABBAB BBBBA BAAAB BBAAA ABABA BBAAA BBABA AABAA BBBBB BBAAB AAABB BAAAA AAABA AAAAA AABAB AABAA BBBAB ABBAA AAAAB ABAAA ABBAB AABAB BBAAA BABBB BBAAA AAABA AABBB ABBBB BABAB BBABA ABAAB BBBBB BBABB ABBAA BABBA BAAAA BAABA AAABA BAAAA BBBAA BBBBB BBBBA BABBA ABBBA ABBAB BAAAB BAAAA ABBBA ABABA AAABB BBBBB AABAA AAABB AABBB BBBBA ABABB ABAAA BAABB BAAAB ABAAB AABBB BBBAA AABAA BBBAB AAAAA ABAAA ABABB BBABB BABAA BABAA ABABA ABAAA ABBBB ABAAB AAAAA BABAB ABABB ABBAA BAABB BABBB BBBAA AABBA BBABA AABAA ABBBA AABAB BABBB BABAB BBAAA BAAAB AAABB ABBBA ABABA BABBA BABAA AABAB BBBAA BBBAA BBABB AAAAA AAABB ABBAA BBBBB AABBB BBAAB BABBA ABBBB ABBAA BAAAA BABAA BAABA BBAAB BAAAA AABBA AAABA BBAAA BAABB ABABA BBAAB BABAB ABABA BBBAB BBBAA BBAAB AABAA ABAAA ABAAA ABAAB AABAA BBAAA AAAAA ABAAA AAAAA AABBA BBBBB AAAAA BAABB BABAB AABBA ABABB BAABB AAAAA BBBAB ABABA BBABA ABBBA BBBBA AAABA BBBBA AABBA BBBBB ABAAB AAAAB AAABB BAABA BAABB BABAA BAABA BABAB BABBB BBBAB AAAAA AABAB ABABA BBAAB BABAA BAABB BAAAB BBBAA BABAB AABBB BBABB BAAAB BABBB BABBA BBBAA BBBAB BAABB BAABA ABAAB ABBAB BBAAA AABBA ABABA ABAAB ABABB ABBAB BBBAB BABBA BAABA AABAA BAABB ABBAB ABAAA BAAAB BABAB BAAAA BBBAB AABAA BABAA ABABB BAABA BBABB BAAAA AAABA ABBBA AABAB BBABB ABABB ABBAA ABAAA BAAAB BAAAB BBABA BAABA BABAB BABBB BABBA BBABA ABAAB BAABB AAABB ABBAB BBBBA AABBB AABBA BAAAB ABABA AAABB ABAAB ABAAB BBBAB BBABB BAAAA AAABA BABAB ABBBB AAABA ABBBA ABBAA BBAAB BBAAA AAABB BABBB AABAA ABBBA BBAAA AAAAB ABBBB AAABB BBAAA BBBBB AABBA BBABA ABBBA BABBB ABABA AABBA ABBAA BAAAA ABBBA ABBAB BAABB BAABA BABBA AAAAB AAAAB BAAAA BAAAB AAABA BBABA ABBAA BABBB AAABB AABBB ABAAB BABAB ABBAB AAABA AAABA BAABB AABAA BAABA ABBAB ABAAA BAABB BAABA ABAAB ABABB BBBBA BABBA BBBAB ABABB AAAAA BBBAA BAAAB ABBBB BBABB ABBBB ABBBB ABBAB AABAA BBAAA BBAAB BBAAA ABBBA ABAAA AABAB BABAA AAAAA BBBAB AABBA AABBB BBBBA ABBBB BBAAB BBBBB BBBAB BBABB ABAAB AABAB ABAAB BABAB AAABA AAAAA BBBBB BAAAA ABBBB BBABB AAABB ABBBA BBBAB BABAB AAABB ABBBB AABBA BABAA ABABA BABBA AAABB ABAAB ABAAA BABAB BABBA ABAAB AABAA AAABA AAAAB ABAAB BABBB BAAAA BBBBB AAAAA BABBA BAABA BBABA BAABB BBBBA BABBB ABABB AABAA BABBA BBABA BBBBA ABBAA AAABA ABBBA BBABB BAABB ABBAB ABBAA BBABB BAAAB BABBA AABAA BABBA BAABB ABBAA ABBAB BABAA AAAAA BABAB BBBAB BBABA BABAA AABBA BAAAA AABBA ABBBA BBBAB BAAAB BBBAA AABAA AABBA AAAAB ABAAA ABABB ABAAB ABBAB BBABA AABBA BBAAB BBABB BAABA AAAAA ABBBA BABBB ABAAB ABABB BBABA AABAA BBBBB BBABB BAABA ABABB AABAB ABBAA BABBA AABBA AAAAB AAABA BBBAA BBBBB AABBB ABAAB BAAAA BABBA AABBB BBBAA ABABA ABBBA BBAAB BABBB BBABA AAAAA BBAAA BBBBB BBABB BAABB BAAAA ABAAA ABBAA ABBBA BABBA ABAAB AAABB ABBAB BABAB BBAAB BAABA BBAAB BBAAB BBBAA BBABA ABBAB BABAA AABAA BAAAB BBBAA BAABB AAABA BABBB BAABA AAABA BBAAA ABBAA BBABB BBBBB BABBB BABBB BAAAA BBABA AAABB BAAAA AABAB BAABA BBBAA BABBA BBAAB BABAA BAABA AABAB BBBBB ABBBB BAABA BAABB BBBAB BAABB BBABA AABBB BBBAB AAABB AABAA AAAAB BAAAA BAABA BAABB AABBA ABBAB BBABA BAABA BAABB AABBB ABBBA ABAAB BAABB BABAB AAABB ABBAA BBAAA ABBBA BAABA AABBA BBBAB AAAAA BBBAB BABBA BABAA ABBAB BABAA ABABA BBBAB ABBBB BBABA BAABB BBBAA AAABA BBABA ABBBB BABAB AAABB BBBBB BBBBB BBABB ABABA BABAA BAAAA ABAAB ABBBB BABAB BBBAA BAAAA BABAB ABBAB BABBB BBABB BAABA AABBB ABABB AAAAB AABAA BAABB AABAA BAAAB AAAAB AABAB AAAAA ABBAB ABAAA ABBAA BBBBA BBABB AAAAA BABAA AABBA BABBB AAABA AABAA BABAB BBBAB BAABB BABAB BAABB ABAAA AAAAA ABABA BBABA BBABA BAABA BBABA ABBAA AABBA AAABA ABBBA ABBAB BBABB BBBBB ABAAB BABAB BAABA ABAAB BBBBB BBBAA BBAAB AABBB AABBA ABBBA BABBB ABABA ABBBB ABAAB ABABA ABBBB BBBBA BBABB BAAAA BABBB AABAB BBAAB BAAAB BABAA ABBAB AABAB ABBAA AAAAB AAABB BBBAA AABAA BABBB BBABB BBBAA BABAA AABAA BBAAB AAABA ABBAB BBABA BBAAA BBBAA BBABA ABBAA ABBBB ABABB AAABB BAABA AAABB BBAAA AAABA AAAAA BABBA AABAA BBBAA BABAB ABBAB ABABB ABAAA ABBBA AAABB AABAA BABAB BBABA BABAB BBBAA ABAAB AAABA ABAAB BABBB ABBAB BBABB AABBA BAAAA BBABB AAAAA BBBAB ABABA BBBBB ABBBA ABABB ABABB BBBBA BABBB AAABB BABAB BBBBB BABAA BBBAA BAAAA BBBBB AABBB AAABA ABBAA ABAAA AABBA ABBAB BBABB AABBA BAAAB ABBBA ABAAB BBBAB AABAA ABAAB ABBAB ABBBB BAAAB BAAAB ABAAA ABABB AAABA BBAAB ABAAA BABAB BAAAA AABAB AAAAA AABBB ABBAA BAABB AAABA BBBAA ABBAA AAAAB AAAAB ABBAB ABBBB BABAA AABBB BABBB BBBAA ABBBB BAAAA ABBBA AAAAA BABBA AAABA ABBAA BAABB BBAAB BBABA ABABB AABAA AABBB BAAAA BABAA AABBA ABBAA BBBBA ABAAA BABBB BBBAA AAABB BAAAB ABAAB AAABB AABAA ABAAA BBBAB ABBBB BBBBA BABBA ABABA AABBA BBAAA AABAA BBBAB BABAB ABBBA ABBAB BABBB BBBAB BAABB AABBA AABAB BABBA AABBB AAABB ABAAA AAABA BBABA ABABB ABBBB BABAB AABAA BBAAA BBAAA ABABA BAABA AAABB AAABB AABBA AABAB ABABB BABAA BABAB BABBB BABBB BAAAA ABABA BBBAB BAABA BBBAB BBBBA ABBAA AAABA BBAAB AAAAB BBBBA ABABB ABBBB AABBA AABBB ABBBB BBBAA AABBB ABBAB AAABA BBABB BABAA ABABA BBAAA ABAAA BBAAA ABBAB ABABB BAAAB ABAAA BBAAB BABAA BAABB BBBAB AABAB ABBBA BBAAB BAABA ABABA ABBAA BBBBA BBBBB BBBAB BABBB AABBB AAABA ABBAA AABAB BBBAB ABBBB BBBAB BABBA ABAAA BBAAA ABBBA BABBA BAABB ABBAB BBAAA AABBA BAABB AAABA BBBBB ABBBB BABBB AAAAB BAABB BAAAA BBBBA BAAAA BAAAA BABAA AABAA AAAAA AAABA BBBAA BBBAB ABBBA BBBBB AAAAA AAAAA BBBAB ABBAB AAABA BAAAB BABBB BBAAA BBABA AABAA ABAAB AABBB ABABB BBABA BBAAA BBABA AABAB ABAAA AABAB ABBBA ABBAB AAAAB AAAAA BABBA AABAA BBAAB AABBB BBBAA ABBAA BBABA BAABA BBBAA BABBB ABBAA ABAAB ABBBA BAABA BABBB BAAAA ABAAB BBAAA AAABB AABAA AAAAB AABBB AABAB BABBA AABAA AABBA AAAAA BAAAA BBBAB BBAAB ABBBB ABBAA AAAAB AABBA ABBAB ABBBA BAAAB ABBAB BAAAA ABBBB AABBB AAABB BBBBA BBBAA ABABB BBAAA AABAB BBBAA BBBAB ABABA AAAAA AABAB BAABB BABBA AABAB AABAA BBAAB BABAA ABBAA ABBAA AAABA ABBBB AABBB BABBA BBABB ABAAB ABABB BAABA AAABA BBABA BBBAA ABBBB BABBB AABBB BBABB BBAAA ABBBB BABBB BBBBA AABAA BAABA BABBB AABBA BABBB ABAAB AABAB BBABA AABBA BBBBA BBABB ABBAB ABBAA BAAAA ABBBB ABAAA AABBB ABAAB AABBB ABAAA ABABA BABBB BBAAA ABBAB BBBBB ABBAA AAAAB AABBB ABBBA BBAAA BABBA ABBAB BAAAA AAABB BAAAA BBBBA ABBBB BBAAB BBBAA BABAA AAAAB BBAAB ABBAA BABBB BAAAB AAAAB BBBAB AABAB ABABB BAABB BAAAB ABABB BBBAB ABBAB ABBBB BAABB AABAB ABAAA BAABA BBBAB ABBBB BBAAB ABAAB AAABB BBBAA BAABA BBAAB AAAAB AABBB AABAB ABBBA BAAAB ABABB BABAA BABBA AAAAB ABAAA BABBB AAABB BABAA ABAAB BBAAA BBABB BAABB AABAB AAABB BBAAA AAABA AAAAB ABBAB BABAA BAAAB BBAAB ABABA AAAAB ABABB AAABA BBAAA BBBAA BAAAB BBBBA BABBA BBBBA BABAA ABAAA AAABB BAAAB ABABB BABBB ABBBB BBBAA BBBBB BAABA BAABB BABAB BABBB AAAAA ABBAB BBBBB BBBBA AAAAA BABBA ABAAA ABBBA BABAB BABAA ABABB ABBAB BABBB BBAAB BAABA ABBAA BBAAB BBAAA ABAAA BAABB BBABA AABBB BAAAB BAABA ABBAA AABBA BBABB AAAAB AAABB BBABB ABBAA BBBBA ABBAB BBAAA AABAA BABBA ABBBA ABABA BBAAB BABAB BBAAB ABABA ABABB BBBAB BBBBA AABBA BBAAB AABAA BAABA BAAAA BAABA AAABB ABBAB AAABA BABAB BAAAA BBBAB AAABA BBAAB AABAB BABBB BBBBB ABAAB ABAAA BBBBB BABAB BAAAA BBBBA AABAB ABABA AABAB AAAAB ABBBA AABBA BAABB BABBB ABBBA ABBAA BABBA BBBAB BBBAB BBBAA BABAA BBAAA BABBA AAAAB AABAB AAABB BAABA BBAAA BAAAB ABBAB ABBBA AABAA BBBAB BABBB BBAAB BBBAA ABABB BABAB BBBAA BBBAB BBAAB BBAAA AAABA BBABA BAABA BBBBB BBBAA BBBAB ABAAB ABABB ABBBA ABAAA BAAAA BBBAB AABBB AABBA BBAAB AAABB ABABA BBAAB BBAAB BAAAA BBABA ABBBA ABBBB BBBAA AAABA BABAB ABBAA ABABB AABAA AAAAA BBAAB ABABA BAABB ABBBB ABABB BABBA BBBAA BAABB BBBBA BAAAB BBBBB BABAB ABBBA BABBA ABBAA BAAAA BAAAA BAAAB ABBBB ABBBA ABBAB BAABA AAAAA BBABB BABBA BAAAA AAAAB ABAAB BBABB BBABA AABBB BAABB BAAAB ABABB BAAAA BBBAA ABBAB AABAA ABBAB BABAB BBBBA BABBA BBAAA AABBA BBBAB BBABA AABAA BAAAA BABAA BAABA BAABB BBBAB BBAAB BBABB BABAA BAAAA BABBB BBAAA ABABB AABAA BBAAB BBABA ABBAA ABBBA AAABB AAAAB BBBAB BABBB AABAA BBABB AABBA BABAB AABBB ABBBA ABABB AAABA BBAAB BAAAB BBBAB BABAA BABAA ABABB ABABB BBBAB BBBBB ABBAB BBAAA ABBAB ABBBA ABBBB BABBA BABBA BAAAB BBBBA ABBBA BABBA ABBBB BAABA AAAAB BAABA AABAB AAABB ABBAB BBAAB AAAAA BBBAB AAAAA AAAAA BBAAB BBABB BABAB BAAAA BBBBA BBABB BBAAA BABAA AABAA BBABB BABBA AAABB AAAAB ABBBA ABAAA BBBBB ABABB ABBAA BBABA ABAAB BAAAB BABAB BABBB AAABB AABBA BBABA BAAAB AAAAA BBBBA AABAA ABABA AABAA AABAA AABAA BABBB BABAA AABBB ABBBA AABBA ABAAA BBAAA AABBB ABABB BBABB BBBBA BBABB ABBBA ABAAB ABBBA ABBBB BBBAA ABBAA ABAAB BBBAA ABABB ABAAA ABBBA BAABB BABBA BAABB BABAB AABAB BBAAB BBBAB BBAAA ABBAB AABAB ABBAB AAAAA AABAA AABAA BBAAA BBABB AABBA BBBAA BAAAB BBABB BABAA AABAB AAAAA ABBBB BABBA ABBBB AAABB BABBA BAABB BBABB BBBBA ABBBA BBAAB ABBAA AABAB BBABB ABBBA AABBA ABBAB BBBAB ABBBB ABABB BAABB AABAA AABAB BABBB BBBAB AAAAB AABAB ABABA BAABB AABAA BBAAB ABBAA AABAA BAAAB AAABA BBAAA BABAA ABBAA BAABA BABBA BAAAA BBBAA BBBAB BAAAB BAAAB ABBAA BBBAA BBABA AABBA AAAAB AABBB ABBAB BBAAA ABABB BBAAA ABABA BABBB BBAAB AABAB BABAB BBBBA AABAA BBABA AAABB ABBAA AABAB ABBAA BABBB BBAAA AAAAA ABAAA BBBAB ABBAB AAAAB ABBBA ABBAB BBAAB BABBB BBBAA AAABA BAABA BAABB BABAA BBBAB BAAAB ABAAA BAAAA BBBAB BABAA ABBAB BABBB AAAAB BBAAA BBBBB AABAB BBBBA BAAAB AABBB BBBBA ABBAA ABABA AAABA BBAAA BBABA BABBB ABAAA BAAAA BAABB ABBAB AABAB AABBA BABBB ABBAA BABAA BBBAB ABBAA AAAAB BBBAA BAABB AAAAB BAAAB AAAAB ABABB AABBB AAAAA BBABB AAABA AABBB ABAAB AABBB AAABB ABAAB BABBB BAABA AAAAB ABAAB BABBB AAAAA ABBBA AAABA AAAAA BABBB BBBBB BBAAB BAABB AAAAB ABBAA ABBBA AABAB BBABB BBBBA ABBAB BBBBB BBAAB AAABA AABAA BABBA BAAAB AAAAB ABABA ABBBA BBABB BBABB AABAA AABAA BABAA AABBA ABABA ABAAA BBBAA BBABB ABBAA ABBBB BBBAA BABBB BBAAA BAAAB BBBAB AABBA ABBAB ABBBB BAABA ABAAB BBBBA BBABA BABBB ABBBA BAAAA BBBAA BABAB BAABA ABBAB BBABB AAAAB ABAAA BAABA ABAAB AAABA BAAAB BABAB AABBA AABBB AAABA AAABB BBABB BBBAA AAABA ABAAA BBBAB BABAA BBBBB ABAAB BBBAA AABBA BBABB BBABA BABBB BABAB BABBB BABBB BBABA BBBBB BABAA AAAAA AABAB BBBBB ABABA AABAA ABABA AABAA BBAAA BABBB BAABA BBAAB BAAAB AABBA AABBB BAABA BBBBB ABABA ABABB BBBBB ABBBA ABABB AABAA BBBAB ABBBB AAAAB BBBAB BABAA BABAA BABAB AABBB BAABB BBABA ABBAA BBABB BAABA AABAB BBAAA AAAAA AAAAB ABAAB BABBB BBAAB AABBB BBABB BBBAB BABAA ABBBA BAABA BBBBA BABBA ABBBB AAABB AABAB BAAAB ABABB AAABB ABABB BBAAB AAABA AAABB AABAB AAAAA ABBAA AABBA BBBAB AABBA BBAAB AABAA BAAAB AAAAB BAABB BABAB BABBB BABBB BBBAA BBBAB ABBBB AABBA ABABB BAAAB ABBBA BBBAA BBBAB AAABB ABAAA AAABB AABBA ABABA BBABA BBABB BAABA BABAA BBBAA BAAAB BBABA ABAAB AAABB AAABA AAABA BABAB BAABA BABAA AABBA BBAAA BAAAA BBABB ABABA AAABB BABBB ABBAB ABBAB ABABA BBBAB BBBAA BBBAA ABAAA BBBAB ABBBA BAABA BAABA ABAAB ABBAA BABBA BABAB BABAA BAAAA BABAA ABBAA BABBB BAABB ABABA ABBBB BAABB BBABA ABBAA ABBAB BBAAB BABAA BBBBA BAAAA ABBAB AABBA BBBBB ABBAB ABAAB BAABA ABAAA BBBAB BABAA BBBBB BAABB ABBAB BAABA AABBB BBABA AAABA ABBAA BABBB BBBAB AAABA AABBB ABABA BABAA AAAAA ABBBA ABBAB BBBAA BBABB BBBBA ABBBA ABBBB BBBBB BABAB ABABA BBBBA AAABA ABBAA ABBBB AABBB BABAA AAABB AABAA BBAAB AABAA AAABA BABBA ABAAA BBABA BBABA BABBA BABBA ABAAA BBAAA BABBA ABAAA BBABA AAABA BBBAA BBBAA BBABB AAABB AAABA BBAAB BBAAB AABBB BABAA BAAAA BABBA AABBB BBBBA BAAAA ABBBA BABAB ABBAB AAAAA ABAAA ABBBB BAAAA BBBAB AAAAB ABABB AABBB ABBBA ABBAA ABABB BAAAA BBAAA BBABA BBBBA BABAB AABAB ABAAA BAAAB BBABB BBABB BBAAB BAAAB ABBBA AABBA ABABA ABABB ABBAB BAABB BBBAB BBBBB ABBBB AABAB BBAAA ABBBA AABBA BABBB AAABB AAABB ABBAA AABBB ABAAB BABBA AAABA BABAA ABABA ABABB BBAAB ABAAA BABBB BBBAA ABBAB BAABA BBBAB BBBBB BBBAB BBBAA BABBA BAAAB BABAB ABAAB AAAAB BAAAA AAAAB ABBBB BBBBB BBABA ABABB AABAA ABBAB AABAB ABBAA AAABB BAABB ABAAA BAABB BBBBB AAABB BBBAA ABBBA AAAAA AABBB BBBBA ABAAA ABAAA ABBAA ABABA BABBA BBAAB AABBB ABAAB BBABA ABBAB AABBA BBBBA AABBA BAABA BABBB ABBBB ABBAB AABBA BAABB AABBB AAAAA BAAAB AAAAB BBAAB BBBBA BAAAA ABBAB ABAAB AAAAA AAABA ABAAA ABBAA AABBB BBBAB BABBA BAABB AABBA AAABA BAABB BBBBA AAAAB BBABA BAAAA BBABA BBABA ABAAB BBBAB ABABB BABBB BAABA BBABB BABAB AAAAB ABBBA BBBBA ABBAA BBBBA ABAAB ABABA AABAB AABBA BAABB BAABA AAABA BBBBA ABAAB ABBBB AAABA ABBBA ABBBB BAABA BBBAA ABBBB ABAAB ABABA BABAA BAAAB BAAAA ABAAA ABBBB BBAAA BABBA BBBAB AAAAA AAABB BABBA ABBBA AABAB BBABA BABAB ABABB AAAAB AABAA BAAAB BBAAA ABABB AABBB BBAAA AAABA BABBA BABBA BAABB BBAAA AABBA AAABA BBBAB AAAAA ABAAB BBBAB ABAAA BBABB BABBB ABBAB BABAB BBABB BBBAA BAAAB ABBAB BBBAA BABBB BBABB BABBA BBAAB BABAA BABBB BBBAB BBABA BBAAA BBABA AAABA AABAB AAAAB AAAAA BABBA BBAAB ABAAB BBBBB AABBB BAAAA ABABB AAAAB BABBA ABBBB BABBB AAAAB BABAA AABAA BABAB ABBBA BBAAA BAAAB ABAAB BABAA BBABB BAAAB BBBBB ABABB BAAAA AABAA ABAAB AAABB ABABB ABBBB BBAAA BAAAA BBBAA BBAAA BAAAB AABBB BABBA ABABB AAABB BBABA BBBBA ABABA BBBBA BBBAB BAABA AAAAB BBAAB BAAAB BBAAA BBABA BAAAB BBBBA BBAAB ABBBA ABABA BBAAB ABBAB ABAAA AAAAB ABAAB BABBB BAAAA BBBBB BAABA AAABB ABAAA BABBB ABAAB BAABB BBBBA AAAAB ABAAA BAAAB BAABB BABAB BBBBB BABBB BABAB BABAB ABAAB ABBAB ABBBA ABBBA AABBA AABBB BBBAA BBAAB ABBAA BBAAA BABAA BABBB BABAA ABAAB ABABB ABAAA ABABA BAAAB BABAA ABAAB BBAAB ABBBB ABBAB ABABB BABBB BABAA BBABB ABBBB ABBBA BAABA AAABA BAAAB ABBBA BBAAB ABBAB BAABA BBABA AAAAB AABBA BBBAB BABAA ABABB BBBBB BABAA BBAAA BBBAA BBBBB ABBAB BABAB ABABA ABAAB BAAAA AABBA AAAAB ABABB BBAAA BABAB BBAAB BBABA BABBB BBABA BABBA BBABA ABBAB AABBB ABBAA AABBA AABBB BBABB BABAB BABBA ABBBA BBBBA ABABB AAABB ABABB BBBAA ABBBA BBBBA BBABB AAAAA AAAAB BBBAA AABBA AAABB BAAAB BABAB ABBBA AABBB AABBA BBBAB BAAAA BBABB BABAA BABBA BBAAA ABAAB BBAAA BAAAB AAAAA AAABB BBBAB AAABB BBBBA BBABA AABAB BAABB ABABA AABBB ABAAA AABBA ABABB BBABB AAABA BBBAB AAABA AAAAA BBABA AAABA BBBAB BBBAA AAAAA ABBBB AABBB BAABB BBABB BBAAB AAABA ABAAA BBAAB ABBBA BABBB BABBA ABBAB AAAAB AAABB BABBB AAAAA AABAB BBABB ABBAA BBAAA AABAA AAAAA BBABB ABBBA BABBB AABBA BABBB BABAB AAABB ABBBA BAAAB AAABA BBBAB AABBA ABBAA BBBAB BAABA BBAAA AABAB BBAAA AAAAB BBAAA AABAB BAAAA BAAAB BABAA ABAAA BABBA AABBB ABAAA BAAAB AABBA ABBAB AAABB AAAAA AABBA BBABA ABAAB AAABB ABAAB BBBBA AAABA BAABA AAAAB BAABB BBAAB BBABB BBBAA AABBB BABAB AABAB ABBAA BBABA ABBAA ABBAA AABBB ABBAA AAAAB BABBB ABAAA ABABB AABBB AABBB AAAAB ABBBA AAABA ABAAB AABAB ABBAB BBAAB AAAAA ABBAB BBAAA BBABA BBABA ABAAB BAABA BABBB AAABB BBABB BABBA ABBBA BBBBA AAABB AABBA AAABA AABAA BBABB ABAAB BBBAA AAABA BABBB AAAAA ABBBA ABAAB BBBBA BAAAB BABAB ABABB ABBAA AABBA AAAAB ABABB ABABB AAABB BBBBA AABAA BBABB ABBBA BBBBA AABAB ABBBB BABAB ABBBB BBABB BAAAA BABBB BAABB BAAAA ABABB AABAB BAABB BAABA BBAAA ABBAA ABABA ABAAB BABAA BBBAA ABABA BABBA ABABA BABBB BABBB AABAA AABAB BABBA BAABA BBABA BABBB BBABA BBBBA BAABA ABABB BBBBB AABAB BABAB BBBBB BABBB BBBAA ABABA BAAAB AAAAB ABABA BABAA ABABA ABAAA ABABA BABAB BBAAB AABAB AAABA ABAAA BBAAA BABAB BBAAB BAAAA AAAAB BAABA AABBA BABAB BABBA BBBAB AAABA BBBBA BBAAB ABABB AABAA BABAB AABBA BAABB BBBBA BBBAA ABBAB AABAA BBABA ABAAB ABBAB AAABB BABBA BBABA BBABA ABBBB BBAAA AAABA ABABA AABAB AABAB ABBBA AABBB ABABB BBBBB AABAA BABBB BABBB BABBB AABBB BBBAA ABBBA ABABB AABAB AABAB BBBBA ABBAB AAAAB ABAAB BBBBB BBAAA BBBBA BBAAA BABAB BBAAB BBBAA AABAB BBAAB AABBB BABAA BABBA BBBBB BAAAB AAABA ABAAB BABAB AAAAB AABAA BBBAA ABBAA AABBB BAABA BABBA ABBAB AAAAB ABABB AABBB BABBA AAAAA ABBAB AABBB ABAAB BABAA BBBAB BAABB AAAAB ABABA BBBAB BABAA AAABB BBBBA ABABB AABAA BBBBB ABABA BABAA BABBB BABBA AABAA BBABA BABBA AABAB AABAA AABBB ABBBA AABBB BAABB AABBB ABBAB BABAA BBABB AABBA BBABB BBAAA BBBAA AAABA BABBB BBBAB ABABA BABAB BAAAA BBBAB AAABA AABBB BBBBB ABBAA AABAB AABAA BAABA AABBA BBABB AAABA AAAAB BBABB AABBB AAAAB ABBAB BBAAB AABBB ABABB ABABA BBBAB AAABB ABBBB AAAAA BAABA BBBAB BAAAB BAABA BBAAA BAAAA BABBA BBAAB BAAAB BABBB ABBBB BABBA AAAAA BABAB AABAB BABAA BBBAB ABABB BBABA AABBB BBABA AAABA AAAAA BABAA ABAAA BAAAB BAAAA AABAB ABAAA ABBAA AAAAB BBBAA ABABA AAABA AAABA AAAAB BBABA BABAB BBABA ABABA AAAAB BAAAB BAAAB ABABA AABBB BABBA BBABB ABABB AABBA BBBBA ABBBB ABAAB BBABB BBAAA BABAB ABAAB BAAAA AABBB AABBA AABAB ABBAB ABAAB BBABB BAAAA ABAAA BABBB BBBBB AAABA ABBBA BBBAA BBBAB BBBBA ABBAA ABABB BAAAB ABABB BAAAB AABAA BAAAB AAAAB BBAAB ABBAB AABBB BBBBA BBABB BBBBB AABAB ABBAA BBBBA ABBBB BAABB ABBBB AABBB BBBBB BABAA ABBAB BBAAB AABAA AAABA BBAAA BBBBA ABAAB ABAAA BBABA ABABA ABABA BBBBB BAAAA ABBAB AABBB BBBAA BBABA AABBA BBABA BABBA AABBB ABBBA AAABB AABBB BBBBA BBABA AAABB BABBA BAAAB BBABA AAAAA ABAAA AAAAB BAABA BAABA BBAAB BBAAA BABBA BBBBA ABABA BBBAB ABBBB BABAB ABBBA BBBBA BAAAA BBBAA BBABA BAABA BBABB BAABB BBABB ABAAA ABBBA AABBA AAABB AABAA AAABB AABBA BAABA ABAAA AAAAA ABAAA BBABB BABBA ABABA ABBAB ABBBA BBAAB BBAAA ABAAA BAABA BAAAB AAAAA BABBA BBBBB ABAAB ABBAA AAAAB BAAAB BABAA BAAAA BBAAB ABAAB BABBB BABBB BABBB BABBA BBBAB AAAAB BABBA BABAB BAABB ABBAA ABABA BBABB AAABA ABABB BBBAB AAABA BAAAB BBABB BBBBA BBBBB BBBAA BABAB ABBBA BAABB AAABA BBBBB AABAA ABABA BBAAB BBABA AAAAB BABAA BABBB BABBA AAAAB BBAAA ABAAB ABAAB BABBA AAABA BAABA BABAB BAABB BBBBB AAABB AABBB BAABB BABBA BABAA AABAB AAABB BABBA ABBBB AAAAB ABAAA ABBAA BABAA BBBAB BBBAA ABABB BBBAB BBBAB AABAA BBAAA BBBBA BAABB AABAA AAAAB ABAAB BAABB ABABB BABBB BABBA ABBAA AABBA AAAAB BABBB BBBBB AAABB BBBBA BBBBA BBABA BBBAA AAAAA BBBAA BABAA ABBBB BAAAA BBBBA BAABB AAAAA BBAAB ABAAB AABAB ABBAA AAAAB AAAAB AABAA BBABB BBBAA AAABB BBAAA ABBBB BAAAA BBBAB BAAAA BAABA BBAAA BAAAB AABAA BABAB BBBAA AABAB ABBBA BBABB AABBA BAABB ABBBB BAABB AAABB BBAAA BBABB BBABB ABBBA AABAB AABAA BABBA BAAAA ABAAB AAABA ABBAB AAABA BBABB ABBBB BBAAA BBAAB BABBA AABAB ABBAB ABAAA BBBBA ABABB BAAAA BAABA BABAB ABABA AAABB AAAAA AAAAB BBBAA AABAB BAAAA BBBAB AABAA AABAB ABAAB BABAB BAABB ABAAB AAABB ABBBA BABBA ABABB BBBAA BABAB BBBBA BBBAB ABBAB AABBB AAAAA BABAA ABABA BBBAB ABBAB BAAAB AAAAB BABAB AABBA ABBBB BBABB ABABA BBAAB AAAAB AAABB ABAAB BAAAA ABBBB BABBA BBBBA ABAAA AAAAA BBAAA ABBAB AAAAA BBBBA AABBB BAABA BBBBA BBBAA ABBBA BBAAB BABAB BBBBA BBABA BABAA BAAAA BBABB BAAAB BAAAB BAABA BBAAA AABBA BBAAA BABBB BBBBB ABABA BBBAB BAAAA ABBAA AAAAA AABAB BABBB ABBBA ABBBA AABBB BAABB ABBAA BABAA BBBBA AABBA ABBBA ABBBB BABBA BABBA BBAAA BAAAA BABBB BBAAB BAABA AABAB AAABB BABBA AAABB ABBAA AAAAB AAAAA BBAAB AABBA BAABB AABAA BBBAB ABAAB AAABA BBABA BBBBA BBABB AABAA AABBA ABBBA AABAA BBAAA ABBBA BBABA AABAA BBAAA BAABA AABAA AABBA BAAAA BBBBB ABAAB BABBA BBBAB BABBA AABBB BAABA ABAAB BBABB ABABA AAABB BAABA AABAB ABABA ABBBB BAABB BABBB AABAB BBAAA BBBBA BBAAA BBBAB BBAAB ABABB BAAAA ABAAB BBBBB BAAAA BABAB AAABA AABAB BAABB BBABA AAABB ABBAA BBAAB BBBAB ABABB ABBAB ABABB AABBB BABAB AAAAA BABAA ABAAB BAAAA ABBAA BABBB AAABA ABAAA BBABA BBBAA BABBA ABABB ABABB ABBBA AABAB BAAAA BBABA BBAAA AAAAA BBBBA AABAA BBBBB AAAAA BABBB AABAA AABAA ABAAA AAABB AAAAB AABBA BAABA BAAAA ABBBB BBAAA AABAB BABBA ABAAB BBAAB ABBBA BAAAA ABAAB BAAAA AAABA BBABB BAAAB BBABA BABBA ABABA ABABA ABBAA BBBAA BAAAA BAABB AAAAA ABBBA ABABB AAAAA BAAAB BABBA BBABA AAAAB BAABB BAABB BAABA BABBB BBBAB BABAA BBAAA ABABA AABBB AABAA BBABB BABAB ABBBB AABBB BBBBB AAABB AAABB BABBA AABAA ABBAB ABABA BABBB AAAAB BBAAB BBABB ABABA AAAAA BBBAB BBAAA AABAA AAABB BAABB AABAB BABBB BBABB BAABB AAABA AABBB ABABB AABBA ABBBA AABBA BBBAA BBABA BBBBB ABABB AABBA BBABA BBABB BABBA AAAAA BAABB ABBBB BAAAB BBBBB AAAAA ABBAB BBAAA AABAB BAAAB BABAB BABAA BAABA AAAAB BBBBA ABABB ABBAA BBAAA BBABB ABAAB BABAA ABABB BBBAB ABABA BBAAB BABAA BABBB AAABA BBBBA AABBA AAAAA BBBBA BAABB AAAAA ABBAA BBBBA ABBBB BABAB AAAAB BBABB BABAB BABBB BAAAA BAABB AAABB BBBAB BAABA AAAAA BABAB ABAAB ABBBB BABBB BABAB BAABB BBABB AAABB BABAA BBBAA BBBBA BAABB BABAA BAAAB BAABB BBBBA ABAAA ABBAA BBBBB BBBAA ABBBB ABABB BAABA ABBBA BABAB BAABA ABBBA ABBAA BABBA BAABA ABBAB ABABB AAABA AAABB ABABA AAAAB BBBBB BABBB AABBA AAABB BAAAA ABAAA BAAAA BBBAB BBAAA BBBBA AAAAB ABBBA ABAAB BABAA AAABB AABAB ABAAA AABAB ABBAB ABBAB BBBAB BABBA BBBBB BABBA BBABB BBAAA AABAB BBAAB BBBAA AABAA BABBB ABBBB AABAB BABBB BBABA ABBAA BBBAA BBBBB ABAAB ABAAB BABBB ABBBA ABBBA BABBB ABBBB BAAAA ABAAB BABBA BBBAB ABBBB AABBB BAABA AABBA ABBBA ABAAA AABBA BAAAA BBBBA AAABA BABAB BBBBA ABABA AAAAB AAAAB ABAAA BBABB BABAA BBAAA BBABA AABAB ABABB BBBBB BABAA BBBBB BABBB BAAAB ABBBA AAABA BBBAA BAABB ABBAA BAABA BABBB ABAAB BAAAA AABBB BBBAB ABBBB BAABB BBAAB BBABA ABBAB AAABA BBAAB BABBB ABABA ABABA BABBA ABBAB ABAAA BBBAB BAABB BBBAB ABBAB AABBB BBBAA BBAAB AABBA AABBB BABAB ABAAA BBBBB AAABA AAAAA ABAAB BBAAA BAAAA AAAAB BABBA BBBBA BBABB AAABB ABABB BBBBA ABAAB ABAAA ABABA BABBA AAABA BBABA ABBBA ABAAB ABAAA BAAAB BBAAB AABBA ABBBA BBABA BABAB BABAA BBBBB AAABB BABBA AAABA AABBA BBABB ABABB BABAB ABABB BAAAB AAAAB ABBAB BBABB AAAAA BBBAA AABBB ABAAA BAABB AABAB BAABA ABBAA ABAAA AABAA AAABA BABAA BABBA ABBAA AAABA BBBBA AABAA BBBBB ABABB BAAAA BBBAB BBABB BABBA BBAAA ABBBB BAAAA BBABA BAAAB BBAAA BBABB ABBBB ABBBB ABBAB BBAAA AAAAB AAABA AABAA AAAAB BAABA BABBA BABAB BABAB BBABB AAABB AABBA AABBB BABBA AAABA AAAAB BABBA BBBAB BAAAB BBBBA BAABA ABBBA BABBB BBAAA BBABA BABAA BBABA AABAA BABAA ABBBB BABBA BABBB AAAAA ABBAB BBABA ABBAB BBBBB ABAAB BABAB ABBBA BBBAB ABBBA BBBBB BABAA ABBAB BBBAB BBBAA AABAA AAAAB AAAAB ABABB BABAB BBAAB BBAAB AABAB BABBB AABAB BABAA AABBB BBABB ABABB ABBBA BAABB BBBAB AABAB ABAAA BABBB AABAA BABAA BBAAA BBBAB BABBB ABBAA BBBAA BBABB AABBA BBABA AAABB BABAB BAAAB ABAAA BABBA ABBBA AAAAA BABAB BAAAA BBAAA BAABA AAAAA AABAA BABAB BAABB ABBBA ABAAA BBBAA BBABB ABBBB BABAA ABBBA BBBAB BABAA BAABA AABAA AABBB ABBAA ABBAA BBABA BAABB ABABB BABBB BAAAB BAABB ABBBA AAABB BBABB ABBAB BBBAB AAABB AAABB BAAAB AAABB ABABB AAABA BABBB BBABA BBABB ABBBB AAABA BAAAB BBABB ABAAA BAABA BBABB BABAA ABAAB ABAAA ABAAB BBBAB AAABA BBAAA ABABB BAAAB ABBAB ABBBA BBBAA BBBBA AAAAB BBBAB BBBBB ABBBA BBBBB AAABB AAABB ABBAB BAABB AAAAB BABAB AABBB ABBAB ABAAA ABBAB ABABA BABBB BBBAB AAABA ABAAB BAABA ABAAB BBBAA AABAA BABBB AAAAB ABABA BBAAA ABBAB ABABA BBABA AAAAA AAAAB BAABA BAAAB BBBAB BAABB ABAAB BABAB ABBBB AABAA BABAB AAABB AABBA BAABA ABBAA BAAAB AAABA ABAAB ABAAB ABBBB BBBAB BABBA ABABA BABAA AAABB AAAAA BABAA BBBAA ABABA BBABA BAAAA BBBBB ABABB BBABA AABAA BBBAB ABAAB ABBAA BABAA BBABA AAABA ABAAA BBAAA BABBA ABAAB ABBBB ABBBA ABBBA BAAAA AABBA BAABA BBBBA AAABB AABAA BBBBA AABBB BBAAB AABAA ABBAA ABABB AABBB AABBA ABBAB BBBAA ABABB ABBAB BABAB AABAA BAAAA ABAAA BAABA BBBBA BAABB ABAAB BBBBA BAAAA ABAAB BBAAA AAAAA BBABA BBBAB BBABB ABABA ABBBB BAABB AABAA AAABB BBABA BBBBB ABAAA ABBBA AAABA BBBAA ABBBA ABBBB BBBAB BABAB AAAAA AABBA BAABB AAAAB ABAAA BBBAA BAAAB AABAB AAABA BBABB ABBAB AABAB BAAAB BABBB BAAAA AAAAB AABBB AABAA ABABA BBAAA BAABB AABAB BBBAA ABABB BABBA BBBBA BBBBA ABAAA BABAA BBAAA BABBA BBBAA AABAA BBAAB BABAB BABBA BBBBB BAAAB BBAAA BBBBB BBABA BAAAB BABBA BABBB BBABA BBBBB BABBA BBBBB BBBBB AAABB ABBAA AABAA ABAAB ABBBB ABBBA BBBAB AAAAA AAABB AABAB BABAB BAABB BABAA ABBAA BAABA AAABA BBBAA ABBAA ABBBB BABAA ABABA AAABA AAABA ABBBB ABABB BABAB BAABB AAAAA AAAAA AAAAB AABAB AAAAB ABBAA BAABA BABAB AABAB BBBAA BABBA BBABB BBABA ABBAA AABAB AAABA BBAAB BBABB ABBAA BABBB BABAB BBAAA BBAAA ABBBA AABBA BAAAA AAAAA BBBBA BBBBB BABAA ABABA ABABA BBBAB ABAAA ABBAB BAAAA BBBAB BBBBB AABAA BBBAA BBABA ABBAA AAAAB ABAAB ABBAB BBAAA AAABB AAABA ABAAB ABBAB BBAAB BBABB BAABA BBBAB BAAAA ABABB AABAA BBAAB BBBBA AABAA AABAA ABBAA ABAAB AABBA ABAAB AABBA BBABA BABAB BABBB BBABA BABBA BABBA AAAAB AABBB ABBAB AABAB AAAAB ABAAA BBABA BAABA AABAB ABBBB ABBBB AABBB ABABB ABBBA ABBAB AABAA AABBB ABAAB BBABB AABBB ABBAA BBABA BAABA BAAAA BAAAA AAABA ABABA BAAAA BBAAA BAABB BBBAA AAABA BBAAA BBBAB BBABA BBBBB ABAAB ABBAB BAABB ABABB BAAAA BBBAA ABBBA BABAA BBBAA BBBBB BBAAB AABAB ABAAA AAABA BBBBA BABAB AAAAB BAAAB AABBA AAAAA ABABA BBABA BBBAB BABBA BABAA BBAAA AABBA BBABA ABBAB BBBBA BBBBA BAABA ABBBA ABBBB BBBAA BAAAA BBBBA BABBB BAAAA BBAAA AABBA ABAAB BAABB AABBA BABAA BBABA BBBBB BBABA ABABB AAABB AAABA ABBAB BABAA BAAAB ABAAB ABABB BABBA BBBBA ABABA BBBAA BBBBB AAAAA AAAAB ABAAA BAABA BBBBA BBAAA ABAAA BAABA AAAAB AABBB ABABB BAABB ABBAB ABAAA BABBB BAABA BBABA BAAAB BAAAB BBBBA BABBB ABAAA BABBB BBBBB ABBBA ABBAA BAAAA ABABB AABAB BBBAB ABAAA BBBBB AABBA BBBBA ABBAB AAABA AABAB ABBAA AABBA ABBBB BAAAB BBAAB AABBA AABBA BABBA BABAA BBABA BAAAB BABAB AABBB BBBAB ABABB ABBAB BABBB ABBAB ABAAA AABBA ABABB AAAAB BBBAA AABAA BBAAB BBBAB BBBBB BAABB ABAAB BBAAB BBBAA ABAAB BABBB ABBAA BABBB AABAA BABBA BABAB BBABB ABAAB ABABB AABBB BAAAA BABBB ABBBB BABAA BAABA BBAAA ABBBA BBAAA BABBA BAAAB BBBAB BABBA BBAAB ABAAA BAAAB AABAA ABABA ABAAB ABBBA ABAAA BAABA BBBBB BBAAB BBAAB BAAAA BAABB ABAAB BAABB BBBAB ABAAA BBBAA BBAAB BAAAB ABABB BAAAA AABAB AAABB ABBAA BBABB BBAAA ABBBB BAABB ABBAB BABBA AABAB BABAB AAAAA ABABA ABBAB ABABB BBAAB BBAAB BABBA BAAAA ABAAB ABBBA ABBBA AABAA AAABA BBABA AABAB AABAA BBBAA BABAA AAABA AABAB ABABB BBABA AAABB BBABB ABAAA BBBAA BAAAB ABBBB BBBAB BAAAA BBAAB BBBBA ABBBB BBAAB ABAAB BABBA BAABA BBAAB AAABA BABBB BABBA ABBAB BAAAA AABBA BAABB BABBA ABBAA ABAAA BBBAB BBAAB BABAB AABBB BBABB AAABA AABAB BAABA AAABB AAAAA ABBBB BABAA AAABB BBBBA BAABB ABAAA ABBAA BAABB ABAAB BABAB ABABB ABBAB BAAAA BAABB AAAAA ABBBB ABABA BABAA AAAAA BAAAA BAABB AABAA ABBBA BBAAA AABBB AAABA ABABB BBABB ABBAA BABBA ABAAB BABBA ABAAB AABAA BAABA BBBBB BABBB ABABA ABBAA AAAAA BAABA BBBAA BBABB BBBBB BABAB BBABB ABABB BBABA BBBAA ABABB ABABA BBBBA BBBBA ABBAA BBBAB AAABB ABABB AABAB AABAB BABBA AAAAB ABBAA AABAA ABAAA BBABB BABBA ABAAB ABABB ABBBB BABAB AAAAA AABBA BABAB ABBBB BAAAB ABBAA BBBAB BAABA AAABA BBAAB ABBAA ABABA AAABA AABBB AAABA ABAAA BAABB BBAAB ABABB ABBBA BAABA AABBA ABABB AAAAB BBAAA AAAAA ABBAB AAAAA AAAAA ABABB AABAA BBBAA BBBAB ABABA AAABB BABAB BABAA BAAAB ABAAA AABBA ABBAA BAAAB BBABA BBBBA ABBAA ABAAB BAABA BAABA BBBBA AABAB AAAAA ABBAA BBBBB AAABA AAABA ABABB BBBAA BBBBB BBABB BBABB BBBBB AABBA ABBBA BAAAA BAABA BBAAB ABAAA ABBBA AAABB BAABB BBBBA BABBB BAABB BAABB BAABA BABAB BBABA BABBB BBBBB BBBAB BBABB AAAAA BBBBB AAABA BBBBB BABBB BBBAA ABBAB BBABA BBAAB AABAA ABBBA ABBBB BAAAB BBBAA BABAA BABBB BAABA ABAAB ABBBB BAABB BAAAB ABABA ABABA BABAB BBAAB BABAA BAABB AABBA BAABA BAAAB ABAAB AABBB ABAAB BBAAA ABABA AABAA AAABA BBBBB ABBAB BABBA BBABA AAAAA AABAA BABAA BBAAB BBABA BAABB BBBAB BAABB AAABB AAAAB AAAAB AABAA AABAB AABBB BBABA BBBAB BBBAB ABABB BBAAB ABBBA ABBAB BBBAB BAABB AAAAB BBBBA AAABA BABAA BABAB BBBBA BBBBA ABBAB BAABA AABBB BABAA BBABB ABABA BAABB BABAB BABAA BBABA BBBAB ABBAB ABBAB BABBA AAAAA AAAAB BBBBB BBABB BAAAA AABAA BABBB BAAAA ABABB BBABA BAABA BBBAA BABAA ABABB BBBAA BAAAA AABAB BAABB BBAAB BBBAB ABBAA BBBAA ABBBA BBBAA AAABB BABBB AABBB BABBA BABBB BBAAA BABAB BBABA BABBB AABBB ABABA BBABA BAABB BAAAA AAABB ABBAA ABBBA ABBAA BABAA AAAAA AABAA ABBAB BBAAB BBBBB BBBBB BAAAA BAABA AAAAB ABAAA AAAAB BBAAA ABBBA BABBB AABBA BAABA AABAB ABAAB BABAB AABAB AAAAB BBAAB AABBA BAABA AAABB ABAAB ABBAB ABABA BABAA BABAA AABBB BBBBA BAAAA BBAAA BBABB BBAAA ABBBA AABBA AABAB BBBBA BAAAB AABBA BBAAA AABBB BABAB AAAAB ABBBA ABABA BABAB ABBBB BAABA AAAAB BBABA ABAAA BBAAB ABAAA AAABB BABBA ABBAB BBABB ABAAB BABBB BABAB BAABB AABAA BBBBA BAABB AABAB ABBBB BABAA ABBBB BAAAA AAAAA ABBAB AAAAB BABAB ABBAA AAAAB ABBBB BBBAB BBBBB BBABA AAAAB BBBAA BAABA AAABB ABBAB BBBAB AAABA BBBBB ABABA BABAB AABBA BAABB ABBBB AAABA ABABB ABBAA BBBAB AABAB ABBBA BBBAA BAABB BBBBB ABBAA ABABB BABBA AAAAB AABAA AABBA AABAB ABAAB BAAAB AAABA BBBBB AABBB BBBAA BBAAB BBBBB AABAA BBABA ABBAA BAAAB BBAAA ABBAA BABBA BBAAA BAAAA BBAAB BABBB BBBBA ABAAB BBAAB BBAAB AABAB BAAAA BABBB BABAB BABBA ABAAA BBBBB BBAAB BBBAB ABBAB AAAAA BAABA AAABB BAABB BAAAA ABBBA BAABB BBABB BABBA ABAAA BBAAB ABBAB AABBB AAAAB ABBAA BAABA BAABB AABAB BAAAB BBABB ABAAA ABABA ABBBB BAABB ABBAB BAABA BAABB AABBA AAAAB ABABB BBBBA BBBAB BABAB BABAB BAAAB ABBBA ABABA ABAAA BAAAB AABBB ABAAB BBAAA AAABA BABAB BBBAB BAAAA ABBBB BBABA AAAAB AABAA BAABA AAAAB BABBB ABABB ABBBB BAABB BBAAA ABBAB BABAA BBABB BAABA ABABB BBBBB BBABB BBAAB BBBBB ABAAB BAABB AAABA BBAAA AAABA BBABB AAABB BBBBA BBBBB ABABB ABBBB BBBAA BAAAA ABABA AABAA ABABA ABAAB AAAAB BAAAA ABBAB BBBBB AAAAA AABAB BABBB ABBBA ABABA AAABB BBABB BABAB ABABB AABAA BAABA AABAA AABBA ABAAB AABBA BAAAB BBBBA AABBB ABBBB BAABA BAABB BABAA BAABB BABBA BABBB ABABB AABAA BBABA BAAAA BBBBA BBBAB BBAAB AAAAA ABABA ABABA ABBBB BABAB AABAA AAABA AAABB BBABA ABBBA AAAAA BBAAB BAAAA ABBBB BBBBA ABABA ABBBB ABAAA BBBBB AAAAA BABBB AAABA BABAB BABAB BAAAA ABBBA BBBBA BBBBA AABAB BABAB BABAA BAABB AABAB BBBBB BBABA BAAAA AABBA ABAAA BBBBA BAABA BBBBA BBBAB BAAAB BABAA ABABA ABBAA AAABB BBBAB ABAAB BBBBA BAAAA ABBAA ABABA BAAAA BBAAB BBABB ABBBA BABAB AAAAA BABAA BABAA BBABB AABBB AABAB AABAB BBAAB ABABA ABBBA AABBA BBABA ABBAB BABAA BAAAB BAABA AABAA BBBBB BAAAA BBBBB BABBA ABBBB BABBA BABBB ABBAA AABBA ABAAA BAAAB ABBBA AAABB AABBB BBAAA BAABB AABAA AAAAB ABBAA AAABA BABAB ABBAA ABABB BBBBB BBBAA BABAB BBBBB BBBBA BAABB AABAA BBABB AAABA BAAAA BAAAB ABAAB AABBA BAABA AABAA BBABA ABBAA ABBAB ABBBA BBBBB ABBBA BBBBB AABBB BABBB BABAA AABBA AABAA AABBB ABBBB AAAAB ABBAA BBBAA BAAAB ABAAA ABAAB AAABB BBBAA ABBAB ABABB ABABA AAABB ABBAB ABBAB BBBAA ABBAA AAAAB AABBB BBBAB BBBBB AAABB AAAAA BAABB BBBBA BABAA BAAAB BABAB BABBB ABABA BABBA BABBB BBBAA AABAA ABABB BBBAB AABBB BBAAA AABAB BBAAB BABBB BBAAA BBBBB BBBAB BAABA AABBB BBABA AABBA ABBAB ABBBB BBAAB ABBAB BABAB BBAAA AAABA AABBB AABBB BBABB BBAAA BBBAA BBBBB BAABA ABAAA BBABA BBABB BABBB ABBBB AAABA AAABA ABBBB AABAB BBABB BABBB BAAAB BBAAB ABBAA BBABB ABABA BBABB AABAB BABBB AAAAB BABAA BBAAA BAAAB ABBBB ABBAA BAAAA BBAAB ABBBA AAAAB ABABA ABAAB AAAAA AAABB AAAAA BBABB BBBAB BBAAB BBBAA BAAAB BBABB BBBBA BAABB AABBB AABBA ABBBA ABAAB ABBAA ABBBB BAABA AAAAB AABAA BBABB BBAAB BABBB BBBAA BABAB BBBBB BBBBA ABABB AABBA AABBB ABABB BAAAB BABAB ABBAB AAABA AAAAA ABBBB BAAAB AAAAA AABAB ABBBB BBAAB BABBB ABBBB AABBA ABBAA BAABB AABAB AAABB BAABB BBBBB BBABA BBBAB ABBBB ABAAA BBBAA AABBA BAABA BAABB BBABB ABAAB ABBAA AABAA BAABA BABBB BAABA AAAAA ABABA BBBBB ABABA AABAA ABBBB BBABA BBBAA AABAB BBBBB BBAAB BABBB ABBBA BBABB AABBB BAABA ABBBB ABAAA ABBAA BBABB BBABA BBBAB ABAAB BABAA BBAAB AAABA AABBA BAAAB BAAAB BABBA ABABB BAAAB ABBAA BAABB BBAAA BAAAA AABAB ABBBB ABBAA ABBAA ABBBB AABAB BBABB BBAAB ABABA BABBA BBABA BAABB BBBAA BABAB AABAB AABAB ABABB ABABB AABBB BABBB AABAB BBBAB BABAB ABABA BBABA ABABB BAAAB ABBAB BBABB AAAAB BABAA BBBBB ABABB BABAB AABBA BABBA ABAAB AAAAA BBBBA BABAB ABBAB ABBAB AAAAB BABAA BBAAB AAAAB ABBBA ABBBB BBBBB BAAAB ABBBB AABBB BBBAB ABBAB BBAAA AABBA AABAA BBBAB BBBBA BABAB BBAAB AABAB BAAAB BABAB AAAAA BBAAA BBBBB AAABA AAAAA BAABB AAABB BBABA AABAA AAABA AABAA BABAB AABAB BABAB BABBB BBBBA BBABB ABABB BBABB BBBBA AABAB BAAAA BBABA ABBBA BBAAB BAABB BBABA ABBBA BBBBB AAAAA AABBA BBBBB ABBBA AAAAA AAAAA ABAAB BBAAB AAAAA AAABA BBBBA BABAA BABBA AABAA BAABA ABBAB AAABA BBBAA AAABB BBBBB BBAAB ABABB BBABA AAABB AAAAA ABBBA ABABA BABAA BBABB BABAB ABBBB AAAAA BABAA BBABB ABAAB ABAAB AAAAA AABAA ABBBA BBBBA BABBB BBBAB BAAAB ABBBA ABBAA ABBBB ABBAA AABBB ABBAB BABAA ABBBA AAAAB BBBBA BBBBA AABAA BBBAB BABAB ABBBB BBAAB BAABA BBABA BBBBA BABAA BBABB BBBBB BABBA ABAAA BBBBA BABAA AAABA ABBAA BABAB ABABB BAABA BBABB BBBBA BABAB AABAB ABBAA ABAAB ABABA BABBA BAAAA ABBAB BAAAB AABAB AAABA BBBAB AAAAA BBAAA ABBAB AABBA ABBBB AAAAB BAAAA ABBBB AAABB ABAAB BABBB AAAAA ABBBA BBBAA ABABB BAAAA BABBA ABABA BABBA BAAAB BBBAB AABAB BABBA BABBA AABBA BABBA AABAB AAABB BAAAA BABAB AABAA BBAAB AAAAB BABBB BBAAB BBABA ABABB BABBB ABBBB ABAAA BABBB BBBAB BAAAB BBAAB BBBAA AABBB BBABB BABBA BAABB BABAA BAABB BBBBA BABAA BAABB BBAAA AABAA BABAA BAAAB BBBAB BAABB AAAAB AAABB BBBAB BBAAA BAABA BAAAB BAABB BBBBA BAAAB BBABA AAAAB BABBB BBABB BBABB BAABA BBBBA BBABB BABBB AABBA AAABA AABAB BBBBA ABBAA BAABB AABBA AABBA ABBBB BBBAA ABBBA BBAAB BAABB ABABB ABBAA BBBAB AAABB BBABA ABBBB ABBBB BAABA AABBB BBAAA ABBAA BAABA BBBAA ABBAA BABBB BBABA ABBBB BBBBA BABBB BBABB BBBBA ABABB AABBB BABBB BBAAA ABBBB BBBAB BABAB AABAA BABAA AABAA ABBAB BABBA ABBBA AAAAB BAABB BBBBB AABBB AABAB ABBBB ABBBA AABBA BAABB AABAB BBAAA BBBAB AABBB BABAA ABAAB ABABA AAAAA BBBBB AAAAB BBAAB BAABA BAAAA AAABA AAABA BBAAB AAAAB ABAAA ABAAA AAAAB ABBAB BABAA BBABB BAABA BBBBB BAAAA AAAAB ABAAB ABABB ABABB AAABB ABAAA ABABB BBBBA AAAAA BBBBB ABAAA ABABA BBABB AAAAA AAAAA BBBBA BAABA BBAAA AAAAA BAAAA AABBA BABAB ABABB ABAAA BABAA BAABB AAAAB ABABA BAABB AABBA BBABA BAABA BABBB AAAAA AAAAB BBBAA BABBA ABBBB BBBBB BBBAB AABAA AABAB AABAA AAAAB BBABB ABBBB BABAA BAAAA ABBBB BBBBA AABAB ABAAB BAAAB AABAA BBBAA BBBAA ABABA BABBB BABBB ABABA AABBA BBBBB AABAB ABBAB ABABB AAABA AAAAB AAAAA BBABB BBAAA BBBAA BAAAB AAAAA AABBB BBAAA BABBA BABAB BBABA BBBBA BAABA BABBB AABAB ABAAB AABAB AAAAB ABBAB AABAB AABAA AABBA AAABA BBBAA BBABB ABBAA AABAB BABAB ABABA BBABA ABABB AABBB AAAAB ABABA ABABB AABBA BBAAA ABBAB BBBBB ABBBB AABBB BBABB BBBBA BABAA BAABB BABBB AAAAB BBBAB BBAAB ABABA BBBBB AAABB BBBAA AAABA AAABB AABAA ABAAB BBABB AAABA BBBAA AABBA AABAA ABBAA AAABB ABBBB AABBB ABABB BBBBA AAABB AAAAA AABBB AAAAA BBBBA ABAAB BBABB AAAAB BABAB AABBA BBAAB BBABB BAABA BBBAA AAABA AABBB AAABA BBBBA BBABA BABBA BAAAA BBBAB AABAB AABAA BBBAA BAAAB ABABB BABBA AABAB BAAAB BABAB AAAAA BBBAB AABBB ABAAA BAABA BAAAA BABAA AABBB BAAAA BBABA BBBBB BAAAB BBAAA BAABB BBBAA BABBB ABBAB ABBAB BBBBB ABBBA BABAA AABAA BAAAA BBBAB ABAAA BAABA BBAAB ABBBB AABAB BBAAB BABAA AAAAB ABBAA BAAAA BBAAB AABAB BBABB BBBBA ABBAA ABBBA ABAAA AAAAA ABABB BBBAA BBAAB BBBAB ABAAA BBBAA AAABB BBBAA AAAAB BBABA ABBAB BAAAB ABBBB BBBBB ABBAA BAABA BBAAB BABAB BAAAA ABBAA ABBBB BABAB AAAAA ABAAA BBBAA BBAAB BAABB BBBAB BABAB AABBA ABBBA ABABB ABABA BAABA ABBAB BBBAB ABABA AAABB AAABB BABAB BBBBA ABAAA AABAA AABAB ABABB AAABB BBBAA AAABB BBBAA BBABB BAABA ABBAA BAABB BABBB ABAAB ABBAA BBBAA BABBB BBABA ABAAB ABBBA ABBAB BBABB BBBAA ABAAA ABAAA BBABA BBABB AABBA AABAB BBBAA BBBBB ABBBB ABBBA BBABA AABAA BBBBB BABAB ABABB BBBAA BBABA BAAAB ABBAB BAABA AABAA ABBBA BBBAB AABBB ABBAB ABAAB AABBA BBAAB BBBAB ABBAA BAABB AAABB AABBB ABBAA BABBB AABBB ABAAB ABBBB BBAAB ABAAA BBAAB AAAAA ABBBA AABBA AABAB BABBB BBBAA ABBAA BBBAA BBBAA BABBB AAAAA BBBAB BBAAA BABAB ABABA BBABA BABBA AAABA AABBB BAAAB AABAA BBAAB BAAAA ABABA BBAAA ABBBB BABAA AABBB BAAAB BBABA BABAA AAAAB ABBBB BABBB BABAB ABBBB BABAB AABAB AAABA BBAAB BBBAA BAABB BABBA AAAAB AABBB BBAAB ABBBB AAAAA AAABA BABBA BAABB AAAAA AAAAA AABBA ABABA BABBB ABAAA AAABA BABBA AABAB AABAB BBAAB BABBA AABAB BBABA ABBAB BBAAA BAABA AAAAA AABBA BAAAA ABBBB BAABB AABAB ABABB AABAB AABAA BAAAA BABAA BABAA AABAB AAAAA BAAAB BAABA ABABB BABBB AAABA BABBA BBBBB AAAAA BBBAB AAAAB ABBBB BAABB BBABB BBAAA BABBA BAABA ABBBA BAAAB BABBA BBBAB ABABB BBBAA BAABB BBABA AABAA BAABB BABAB AABAA ABBBA AAAAA AABBB ABBBA ABABB BBABB BAABA BABBA AABBB BABAB BBAAB BABBA AABBB ABBAB BBBAA ABABB ABBBB BABAB AABAB ABBBB BBBAB BAAAA AAAAB BAAAA ABBBA AABAB BABBA AAABA BABBB AABAB BBABB BBAAA BBBAB AAABA ABABA ABABB BBBAA ABBAA ABAAB AAAAB AAABB BBABA BBABB AAABA ABABA AAAAA BBAAB BBABA BBABA ABBAB ABBBB BBABB ABBAB BBABB ABABB BAAAA BBAAA BBABA BABBB BBBAB BBABB ABBAA BABBB AABAB AABAA ABABA BBBAA AAABA BAAAB ABAAB BAABA BABAB BAAAB BBBAA ABABA BABAB BAAAB BBABA BBAAA AABAA ABABB AABBA AABBA ABAAB BAAAB AABAB BABBB AABBB AAAAB BBBAA ABABB BAAAA ABBAA AAAAA AABBB BABAB BBBAA BAAAA AAAAA ABBBA AABAA AAAAA BBAAB ABBAB BABBB BBAAA BAABA AABBB BBABA ABAAB BAABB ABABA BAAAB BABAB ABAAB ABBAA ABAAA ABAAB ABBAA BAABA AABAA AAAAA BBABB BAAAA ABABB AABAA ABABB AABBB ABAAB BBAAB BAABA BABAB ABABA ABAAA BBBBB BBABB BABAA ABAAB AABAB ABAAA BAAAB BAAAA AAABB BBAAA ABBBB ABBBA ABAAA AAABA BBABA ABBAB ABBAB BBABA BBBAA BBBAB BBBBB BABAA ABABA ABAAA BBBBB BBBAA ABAAA ABABA BAABB BBBAB BBABB ABABB BBBBA BBBAA BAAAB ABABB ABBAA BAAAB ABBBB BBABA BBABB BBABB BBABA BAAAB BAAAA BBBBA BAAAB ABAAB BABAA ABBBA BAAAB ABAAA AAAAA AAAAA BBABA BBBAB ABAAA BAAAB AABBA BBABB BBABB AAABA BAABA BAABA BBABB ABBAB ABABA AABBB AABAB ABBAA BBABB BBBBA AABBA AAAAB ABBBB ABBBA BBBBA AABAA BAABA BABBA ABABA ABBAB AAAAB BBAAA AABAB BABBA AABAB AAABB BBABB ABABA BBAAB ABABA ABAAA BBBBA ABAAB AABAA ABABB BBAAA ABAAA ABBBB ABBBB AAAAA BBAAA BABBB BBBBA AAAAB BABBA BBABB BAAAA BAABA BBBBA BBAAB AAAAB AAAAB AAABB ABAAB ABBAB BAABA BABBA AAAAB ABAAB BABAA AAAAA BBBBB BAABB ABBAB BAAAA BBABA BAABA ABBBA ABABA BAAAA BBBAB AABAB BBAAB BABAB ABBAA ABBBB BABAB ABABA ABABA ABAAA BBBAA ABBBA ABAAA AAAAB BABAB ABABA AABAB BAABB ABAAA BBBBB BBBAB AABBB AABBA AABAA ABBAA BABAB BABBA AABAB BBBBA ABABB BBBAA BABAA ABBBB BAABA BABAA ABBAA AAABA AAAAA BBBBA BBAAA BAABA ABBBB BBAAA AAABA AABAA ABAAA ABAAB ABBBA BABAB BAABA ABABB BBBBA ABBBB BBBBB AABBB ABBAA BABAB AAABB BBABA BBBBA BABAA ABBAB ABAAB AAABB AABBA BAABB ABBBA BABBB BABAA ABABA AAABB ABAAB BAAAA AAABB ABAAA AAAAA AABBB BAABA BBBAA BAAAB BBBAB BAAAA ABBAA ABAAB BABBB AABAA BBABB BBABA BBAAB BBAAB BBABB BABAA BBABA BAAAA ABAAA BABBA ABAAB BBABA ABABB BBAAB BBABB ABABB ABABB AABBA ABBAB AAABB AABBA AAABB BAAAB ABAAB ABBBB BAABA BAAAB ABAAA BBBAA BBABA AABBB BBAAB AAABB BBAAA BABBB ABBBB ABABB ABBBA BBBBA AABAB AABBB ABBBA BAABB AABBA BBABB BBBBB BABAB BABBA ABABA AAABB BAABA BABBB ABBAA BBBBB BABAB BAABB BBBBB BBABA AABBB BBABA ABAAB ABBBB AAABA BBABB BBAAA ABBBA ABBAB BABAA AAABA AAAAA AABAA AAABB AABAB BBBAA AAABB AAAAA ABABA BBBAA BAABB AAAAB BAABA BABAA BAAAB ABBBB ABAAB AABBB BBBBB ABABB BBBBA ABAAA ABBBB BBBBB AABBB BABBB BBABB BABBB BABAA AAAAA BBBAB AAABA BABAA ABBBB AABAA AABAB BAABB BABAB BAAAA AABBB BBBAB AAABB AAABA ABBAB BAAAA BBBBA BABBB AAAAB BABAA BABBA AAABA BBBAB ABBAB BAAAA AABAA BBABA AAAAB AAABB ABBAA BAABA ABBBB BBAAA BBABB AABAB BAAAB BBBBB BBBAB BBAAA ABBAB BBAAB ABBAA ABBAB BAABA BAAAA BAAAB BABBB ABABA BABAB AAAAA ABBAA ABBBA ABBBA AABAA ABBBB ABBAB AABAA BABBB ABABA AABAA BAABA ABAAA BBBAB BBAAB BAABB BAAAA BAABB AABBA BBBBA ABBAB BBBBA BAABB BABBB BBBAB BBAAB BBABB AAAAA AAABB BBABB AAABA BBAAB BAABA ABBAA ABAAB BBABA AABBB ABAAB ABBAB BBABB BBBAA BBBBB BBABB ABABB AABBB BABAA BBBAB BABAB AABBB BAABB BABBB ABAAA ABAAA AAAAB AABBA ABBBB BAABA BABAA ABABB ABABA AAABA BABAA BABAB BABAB ABBBB ABBAB AABBB AABBA BBABB ABBBA ABAAB ABBAA BBAAB BABAB AABBB BAAAA BBAAA AAAAA AABAA AAAAB BAAAA AAAAA BBABB ABBAA BBBAB ABAAA ABABA ABAAA ABABB BBABA BAAAA AABAB BBAAB BAABA BBAAA AABBB BBABA AABBA BBAAA BBAAB BBABA AABAA BBAAA BAAAA ABAAA BAABB BAABA BBBAB BABBA BABBA ABBBB AAAAA BABAA AABAB BAAAA BBBBB BBBAA ABBAB BABBA BBABA AAABB BAABA ABABA BBBBB BABAA BAAAA BBABA ABBBA ABAAB ABAAB BBBAB BBBBB BBBBB BBAAB BBBBB BBBAA BBBAB BAABB BBBBB BAABA BAABB AAABB BABAB AABBA BAABB BABAA BBABB ABABB BBABB ABAAA ABABA ABBAB AABAA BBBAB AABAB ABBBA BAAAB BBBAB BBBBA BABAB AAAAA AAAAB BBAAA BAABA AABBB BABBB BAAAA ABBAA AAAAA AAABB AAABA ABBBB AABBB BAABB BBBBB AABBA BBAAB ABAAB AABBB BBAAA BAABB AAABA BBABA ABAAA ABBAB BBBAB AAABA BBAAA AABAB BBBAB BBAAA AABAA AABAB ABAAB ABABA ABAAA BAAAB BAAAB AAAAB ABAAA AABBA AABBB BBABA BAAAA ABAAB BAAAB BBBBA BABBB AAAAB AABBA BBBBB AABAB BAABA ABBAA AAABA BBBBB BAAAB ABBBA ABAAB AABAA BBABB BAABB BAAAB BBBBA BAABA AAABB AABAA BABBA AABBB ABBAB ABAAB AABBB ABABA BABAB ABAAA AABBA BAABB ABBBB ABBBB ABBBA AABAA BBBBB BBBAB BBABA BBAAA AABAA ABBAB AAABB BAAAA ABAAB AABAA BBAAA ABBBA ABBBA AABAA BAABA BBABA AABBA BAAAB BBAAA BABBA ABABB BBBAA AABBA AAAAB BBAAA ABBAA BAABA BBBAA BAABB BAABA BBAAB AAABA ABBAA ABBBB AAAAB BBBAB BBBBA BABBA BABBA ABAAA ABBBB BBABB BAAAB BBBAA ABAAA ABAAA BBBBA AAABA AAAAB AAAAB BAABA AAABB AAAAA ABBAA BAABA AABBA BBBAB ABBAA ABABA BAAAA AABAA BBABA BBBBA ABBAB BBAAA ABBAA BBBBB AAABB BBAAB AAAAA BBBBA AABBA ABBBB BABAA AABBA BBBBB AAABA AAABA BAABB BAAAB BAAAA ABBBB BBABB BABAA ABBBA BABAB BBBBA AABAA ABAAB BAABA ABABB BABBB ABBAA BBBBB BABBA BABAA BAAAA BAAAA BBBBB AABBA BAAAB AABAA ABBAB AAAAA AABBB BABAA BBAAB ABBAB BBABA AABBA BBBBA BABAA BABAA BBBBB ABBAB BBBAA ABABB BABBA ABBBB BABAA BABAA AABAB AABBA BBAAA BBABA AAAAB ABABA BBAAA BBAAA ABAAB BBBBB AABBA BBABB BBAAA ABBAA AABAA BBBAA BABBB BBBAA BBBBA AAABA ABAAA ABABB BBAAB BABAB AAABA AABBB BBABA BAAAA ABAAB ABBAA BABAB BAABA BAAAA BABBA ABABA AAAAB BBAAA AABBA BBBBA ABAAB BABBA BAABA BBABA BABBB ABBBB BBBAB AABBA ABBAA BAABB AAABB BABAB BAAAA ABABB ABBBB BBBBB ABABA ABAAA BBBAA ABBAB ABBAB BBAAB ABBAA ABABA BBBBB BAABA BAAAB AABBA ABBBA AABAA AAAAB AABAB AAABA ABBBB BBBBB ABAAB BAABB BBAAB BABBA ABBAA BBBBA BBABA ABAAB BABAA BABBA ABBAB ABABB ABABB AAABA AABBB BBABB AAAAA BBBAA ABBBB ABBAA BBBAB BAABA ABBBA ABAAB BBAAB BABBB AAABB BBBAA ABBAB BABAB BABBA AAABB ABABA BBBAA AAAAA BABBB BABBB ABAAA AABAB BBABB ABBAA BBAAA BBBBB AABBA BAAAA ABABA ABBAB BAAAB ABBAA BAAAA AAAAB BBBAB ABABA BBABA AABBB BBBBB BBAAB AAAAB AABAB ABAAB AAABB BBAAA BBABA ABABB AABBB BBAAB AAAAB BBBAA BBBBB BBAAA AAAAA BAABB AAABB AAAAB AABAA ABAAB AAABB BAAAB BBAAA ABABB ABBBB ABBBB AABAB BAAAA ABABB ABBAB ABBBB BABAB AAABA AAABA ABAAA BAABB ABABA BBABB BBABB BAABA ABBBA BBBAB AABAB ABAAB BABAA BBAAA BBAAA AAABA AABAA BBBAB BABAB BAAAB BBBAB BBBAA BBABA BABBA ABBBA BBBAA AABBB BAAAA ABBAB BBABB BABAB AABBB BBBAB ABBAA BBBBB BBABA BBABA BAABA BBBBA ABAAB BBAAB BBBBA BBAAA ABBAB BABBA BABBA ABBAB BABAA AAABB BBAAB ABAAB BAAAA BBBBA AAAAA BAAAB AABBA AAAAB AABAB BBBAA AABAA BBAAA AAABA BAAAA BAAAA BBBBB ABAAB ABABA BBBAA AAABB BBBBA ABBBB AAAAB BAABA AABAB BBABA BAAAA BBBBB AAAAA AABBA AABAA BBBBA BBAAA ABABB AAAAB ABBAA AAABA ABBAB ABBBA BABBB ABABA BBABB BBAAB ABBAB ABBAA ABBBA AABAB ABABA BAABB BAABA BAAAB BBBAA AABBB AAABA BABAA ABBAA ABBBB BAABA ABABB ABAAB AAABA AAAAA ABAAB BBBAB ABBBB ABABB ABAAB BAAAB BABAB AABBB AABAA AAAAB ABBBA ABAAA BBBBA ABABA BBBBA AAABB BABAA AAABB BBABB AABAB BAABA ABBAA ABABA BBABB AABAA BAAAB ABABA BBABA BBBAB BBAAB AABBA AAABB BBBBA AABBA AAAAA BBBAB AAABA AAAAB AAABA BBABA AAABB BAABA BAABA AAABB BABAB ABAAA ABABA AABAB AABBA AAAAB BAAAA ABABB BBAAA AAABA ABABA BBAAB BABBA BBBAB BBABB AAABA BBBBA ABABA BBBBA AABBA AABAA BBBBB BABAB ABAAB ABABA BAABB BBBBA AAABB AABAA BAABB AAAAA BAAAA ABABA BABBB BAABB BABAA AAAAA AABBA BAABA BBBBB AABAA BBAAA AAABB AABAB BBBBB ABAAA ABBBA BAAAB BBBBB BBAAB BBBBA BBABA BAABB AABBA AAAAA BBABA BBAAA BBBAB AAAAB AABBB AABAB ABBBB AABBA BBAAA AABAA AAAAB AABBA AABAB BBBAB BAABB BAABB BBBAA BBBAA AABAA BABBA ABBBB BBBAB ABAAA ABBBB AAAAA ABAAB ABAAA BBABA BABAB BAABB BBABA BBABB AAABA ABAAA ABAAA ABBBB ABABA AAAAB BABAB BAABB ABBAB ABAAB BAAAA AAAAA AABBB BABBB ABBBA AAAAA BABBA ABBAB AAAAB ABBBB AAAAB BAABA ABBAB ABBBA AABAB AAAAB BBAAA ABBBB ABAAB BBBBB BABBB AABBB BABBA ABBAA ABABA BAAAA BAAAB BABAA BBBAA BABAA BBABB BABBB AAABB BBBAA BBBBA ABABB ABAAA ABBBB ABABA BBBAA AABBA ABBAB BBABB ABAAB BAABA BBABA BBABA BBBAA AABAB ABABB AABBB AABBA BAABB BBABB BBAAA BABAB AABBB BAABB ABBBB BBAAA ABABB AABAA ABABA BBBAA BAABA BABAA AABAA ABAAB BABBB AAAAB BBBBB AABAB BBAAA BAAAA ABBBA BBBBA BBABA AAABB ABABB BBBBB BABBB BABBB AABAA AAABA BAABB BBBBB BABAB AABBA ABABA ABABA BAABA ABAAA AABBB BABAB BAAAA AAABB BAAAA AAABA BBAAB AABAB BBABB BBBBB BABBA BBBBA AAABB ABABB BBBBB BABAB AAABA ABBAA BAABA BBABB BAABA AAAAA ABBAB BBAAA BBABB ABBAA AABAB ABBBB BBAAB BBAAA ABABA AABBB BBBBB BABBB BAAAB BBAAA BABAB BAAAA ABAAB AABBB ABBBA BABBB AABAA AABBB BABAB BBABB ABAAA ABAAA BABAB ABAAA BBBAA BABAB BABAA BBABA AABBB BABBA BABBB ABBBA AAABA ABBBB AAAAA ABBAA BBBBA BBAAA BABAA AABBB BBABA ABABB BAAAB AABBA BAABB BBBAB AABAB AAAAA BAAAB BBBBB AABAB ABBAA BBBAB BABAA ABAAA BBABA AAAAB BBABA ABBBA BBBBA BABBA BABAA BABAA BAABA ABAAA AABBB AAAAA BABBB AAAAB ABBAB BABBA AABBA BBBBB ABAAA BABAB BBBBB BBAAA BABBA ABAAB BAABA BBBBA BABAA ABBBA AAAAA BBBAB BBABB ABBAA ABBAA ABBAB BBABB BAABB BBBBB BAAAB BAABA AABAB AAABB AABAB BBBAB ABBBB AAAAB BBBAB BBBBA ABABB BABBB AAABA BABBA BAAAA BABBB AAABB AABBA AAABB AABBA AAAAB BAAAB AAAAB ABABB AABAA BBAAB BAABB BBBAB ABBAB BBABA AABAB ABBAA AAAAA BBAAB ABABB BABAA ABBBA AABAA ABBBB ABAAB BBABA BABBA AAAAB BABBB BABAB BAAAA AABAA ABAAB ABABA BAAAB BBBAB BBAAB AAABB ABBAB BBAAA BABBA BAABA AAAAB BBABB BBAAA AABAA BBBBB BABAA ABBBA ABBBA AABBA ABABA BBBBA BAAAB BAABA AABAB BBABB AAABB AAAAA BABAA BBAAA BAAAA AABAA BBAAA BABAA ABAAB ABBBA AABAB AAABB AABBB AAABB BBAAA BBBAA BBBAB ABBAB BBABA BAAAA AAAAA BAAAB BBBBB BBABB BBBAB BBAAB BBBAA BBBAB AABBB ABBBA BAABB BBBAA BAAAA BAABB ABAAB BAAAB ABAAA BBBBA BBAAB BBBAB BAAAA AABAA ABAAA AABBB BAABB BBABB AAABA BBABB ABAAB BABAA BAAAB BBBBB BABBA ABBBA AABAA AAABA BBBBB ABABA ABAAB BBBBA BABBA BAABA BBAAB AAABA ABABA BABAA BBABA BAAAB ABABA ABAAB BABAB BBBAA BBAAA BABBB BAAAB BAAAB BAAAA ABAAB BBAAA BBBBB AAABA AAABA BBBAA BAAAA ABBAB ABBAB BABAB BABAB BBBBA BABBB BAABB ABABB BBBBB BBBBA BBABA BBBBB BABBB AAAAB AAAAB AAAAA BBBAA ABABB BABAA ABBBA ABAAB BAAAA ABAAA AABBA ABBBB BABAB BAABB BBABA AABBA BABBB BABBA BBBBB BBAAA BABAA AAABA AABAA BBBBB ABAAB BBBBB BABBB BBABB BABBA BAAAB BBABA AAABA AAABA AAAAA BBABB ABABA ABBBA ABABB AAABB AAABA BABAA BBBBA BAAAB AABBA BABBA BABBB ABABA BBAAB BABBA ABABB BABBB BBBBB BBBBA AABBB BABBB ABBBA BABBB BBAAB BBBBB AAAAA ABABA BABAB BABAB ABBAB ABBBA AABBB BABAA BABBA ABBBA BBAAB AAABA ABAAA AABAB BABAB AAABA BBBBB BBBBA ABBAA BABAB ABBBA AABBA BABAB BABBB ABABB BBBAA AABBB BBABB BAABB BABAA AABAB BAABA BAAAB BBBBA AAAAB AAAAA AABAB ABBBA BBBBA BABBA ABABA BAAAB BAABA AAABB ABABA BAABB BBAAA BABAA AABAB AABBA AAAAB BAAAB AABAA ABAAB AAABA AAAAB BBABB ABBBB BABBB AABAA BAABB ABBBA BABBB BAABA BBBBA AABBB AAAAA ABBBB BBAAB BBBAB AABAA BAABA BAAAA AABBB ABBBA ABABA AAABA BABAB BBAAA BAABA AAAAB AAABB ABABB ABBBA BABAB BAAAB BABBA BBBAA AABAA ABBAB BABAA ABBBA BAABA BAAAB BBAAB ABBBA ABBAB BBBBA ABBAA AAABA AABBB BABBB BBBAA BBABB BABBA ABBAB AABBB ABABB ABBAA AABBA AABAA AABAA AABBB ABAAA BBABA BAAAB BBBBA BABBA AABBB ABABA BABAB AABBB BABAA BBAAA BBBAA ABBBB BAAAB ABABA ABBAA BBBBB BBAAA ABBAA ABABB AABAA AAABB BBABB AAAAA ABBAA BBABB BAAAA AAABA AAABB AABAA BBABB BBBBB ABBAA BABBA BBBAB ABBBA AABAA BBBBB AAABA BBBAA BBAAA BBBBA BBAAA AAAAA BBAAA BBBBA ABABA BBABA BBABA AABBB BBBAB ABBAA BBAAB BBABB BABAA BAABB ABAAB BBBBA AABBA ABAAB BBABA BAAAB ABAAA BABBB ABBBA BBABB AABAB BABBA BAAAB ABABB AAABB BBAAA ABBBA ABAAB BBAAA ABABA BBBBA BAABA AAAAA ABBAB BBBAB BABBA AAAAB BBBAA BBAAB ABAAA AAABB AAABB ABBAA BBAAA AABAB BBBAA BAABA AABBA BABBB AABBB ABAAB ABAAB BBBAA BBBBB BBBAB AABBA AABAA ABAAA ABBBA BAABB BBAAB BAAAA ABABA BBABB AAABB BABAA AAAAB BAAAB BABBB BBAAA AAAAA BBAAB AAAAB ABAAA ABBAA BAABB AABAB ABBAB BABBB BBABA BBBAA BBBBA BAAAB ABAAA BAAAA BBBAA ABAAA BABBB BBBBA BBABB BBAAB AABAA ABABB BBBAB AAABB BBBBB BBBBB BABBA BAABA BBABA AABBB AABAB BABBA BABAB ABABA BABBA AAABB ABABA BABAB BBABA BAAAA BABBB BABAB ABAAA AABAB ABABA AAAAA BAAAB AABAB AABAB AAABA BBAAB AABBA AABBB BBBAB BBABB BBAAB ABBBA AABBA BBAAA BABBB BBABA AABBA BAAAA BBAAB BABBA BBAAB ABABA BAAAB ABAAB BABAB BABBB BAABB BABAB ABABA ABBBA BBBAB BBBAB BAABB AABBA BBABA AAABA BAAAB AAAAB AAABB BAAAA BBBBB AABAA AABBB AABAA ABBAA AABBA AAABB BAAAB AABAA BBAAA AAABA ABBBA ABAAB AABBA BBBBB AABBB BBABB AABBA BBBBB BAABB BABBB BABBA BAAAB BBABB ABBBA BBBBA ABABA AABBB BABAA BABAA ABBAA BBBBB BBAAA BABBB BBABB ABBBA AAAAB BAABA BAAAA AABAA ABBAB BABAA BBBBB AABAB AABBB BBAAB AAAAB ABBBA ABABB BAABA BABBB AAAAA ABABA ABAAB BAABA AAAAA AAAAA AAABA BAAAA BAABA AABBB AAAAA ABABA ABBAA ABBBB AABBA AAAAB ABAAB ABBAA BBBAA BBBBB ABBAB BBBAB AAABA BBBBB AABBB AABAA AABBA ABBBB ABAAA BABBB BAAAB AABAA BAABA BBABB BBBBB BBBBB BBAAB BBBBA ABAAA BAABB AABBA ABBAA AABBA BABBA ABBBA ABABA BBAAB ABAAA BABBB BAAAA BABBA BBABA BABAB AAABB BBBBA BABAB ABAAA AABAA BABBA BAAAB BBAAB ABBAB ABBAB BABBB BAABA ABABB BBBAA BBAAB BBABB ABBAB AAAAA ABBAA BABAB BBBBB ABABA AAABB AAABA BBBBA ABBAB BBBBB AAAAB BABAB BBBBA BBBBB BABBB AAABA AAABA ABBBA BBAAA BABBA ABBBB ABBBB BAABA BBAAA ABBAB AABBB BAABA AAABB AAABB BBABA AABBA BBBAB BAABA ABABB BAAAB BBAAB BABBA ABBAA ABAAA AABAA BABAA ABAAB AABAA BAABA AAABB BAAAA ABABA AABAB AAABB AAAAB BBAAB BBABB ABAAA AAABA AAAAB AAABB ABBAB BBBAA BBBBB AABAA BBBBA ABBAA BABBA AAAAA ABBBB AABAA AAAAB BABBB ABBAA BAAAA AABBB AAAAA AAAAA BBABA BBAAA AAAAA ABBBB BBBAB ABBBB BAABB BBBAB BABAA BBBBA AABBA AAABB BABBA AABBA ABBAB AAABA ABAAA ABBBB ABBAB AAAAB ABABA BBBBA BABAA BAABA AABBA ABABB ABABA BBBAB BBABA BBABB BBABA BBAAB ABAAA ABBAA BAAAA AAAAB BBABA BBAAB BBBBB BBBAB BBBAB ABBBB AAABA ABAAB ABBBA BBABB AAAAA AAAAA BBBAB BAAAA BAABB AAAAA AAABA BBAAB BAABB BBBBA BBAAB AABBB BABAA AAAAB BAAAA AAABB BABBA BBBAA BABAB AABBA ABBBB BAABA BBBAB BABAB BBBBA ABABA BABAA BABBA AABAB BBAAB AABAA BABAB AABBB AABAB BAABB ABAAB ABABA AAABA BBABB BBBAB ABABB AAABB BBAAA BAAAB BBAAB BAAAA BABBB ABAAB BABAB AABBA AAABA BABBB ABBAA BAAAB BABAA AAAAB AABAB AABBA AAAAB BBBBA AABAA ABBAB BBBBB ABBBA AABAB ABAAB AABBA BBBBA ABAAB ABAAA ABBBA AAABA BAABA AABBA ABAAB AABBA ABAAA AABAA BBBBA ABBAA ABAAB BAABA ABAAB BABAB BBBBB BABBB BAABA BBBBB BAAAA BBABA BBABA ABBAA ABBAA AABBB BAABB BAABB AABAB BAABB BBBAB BBBAA AABAB ABBBB AABBB ABBBA AAABA AABBA AAAAA BBABB BBBBA BAABA BBBAB AAAAA BAABA BBAAB ABAAA BAAAB BAAAA BBABA BBBAA ABBBB BBBAB BAABB ABABB AAABA BABBA AABBB AABBB ABAAB BABBB BABBA ABAAB BBBAA BAABA BAABA BABBB BAAAB AAABB BAAAB BABBB BAABB AAAAA BBAAA AABAB BBABA AAABB BBBAB BBBAB AABBA ABBBA ABAAA ABABB ABBBB ABABB BAAAB ABBAA BBAAA ABBBB ABBAB BABBB ABAAB BBBBA AAAAB ABBBB BBBAB BBABA BABAA BBAAA BBBAA AABBB AABBB ABBAA BABAB BAABA AABAB BBAAA BABAA BBAAB BBBAB BBAAA ABBBA ABBAB BAAAA BBBBA ABBBB BBBBB ABBAA AABAA BBABB BBBAB BAABA BBBBB BAABB BBABA BBBAA BBAAA AABAA BBAAA ABBAA ABBBA ABBBA AAAAA ABABB ABAAB BBABB ABAAB BBAAB ABABB ABABA BABBA AAABB AABAB BABBB AABAB ABBBB BABBB ABABA BBBAB BBBAA BBAAB BBABA BAABB BABAB ABABA AAABA BAABB ABAAB ABABB BBBAA BABBB ABABA AABBB ABAAA AAAAA BBBBB AABBB ABABA ABBAB BBAAA AAABB BBAAB ABBBB BABBA ABAAA BAABA ABABA BBBBB BBBBB ABBBA BBBBA AABBB AAAAA AABBA AABAB AABAA BAAAB BBABA BAAAA AAABA BBBBB BBAAA ABBAA BBAAB AABAA BAABA BBBBB AABBB BAABB ABBBB AABBA BBABB BABAA AAABB AAAAA BABAB BBBAA ABABB BAABA BBABA AABAB AABBB ABBBA BABAB BBAAA BBABA AABAA BABAA AAAAB BBAAA AABAB ABBAA ABABB AABAB AABAB ABBBB AAABB AAAAA ABAAB BBBAA BAAAB ABBBB ABAAB BAABA ABBAB ABBAA BBBBA AAABA ABBBA ABBAA BAABB BBBBB AAAAA ABBAA AAABA ABABB BAABA AAAAB ABBAA BAABB ABBAB AAABA BABAA BAAAA ABAAA BAAAB ABBBA BAAAA ABABB ABAAA BBBBB AAABA BBBAB BABBA ABAAA ABBAB BABBA BAABA AABAA BABBB BBBAA BAAAB ABBAB BAAAB ABBBB AAABA BAABA ABAAA ABABB AAABB BBBBB ABABB AABAA ABBAA ABBAB BBBBA ABBAA BAABB ABBAA ABBBA BABBA AABAA AABBA ABBAB ABAAB ABAAA ABAAA ABAAA BBBAA BBBBB BBBAB BABAB BAABB BAABA AAAAB BBBBB AABBA ABABB BBBAA BBABB BBBBB BBBBA BAAAB AABAA BBABA ABBAB BABAA BABBB BBABB BBAAB AABAA AAABB AABBA BAAAA BBBAB BBABA BBBAA ABBBA BBBBA BAAAA BAAAA ABABB AABAA ABABB BAABA BBBBA BBBAA BBBBA BBABA ABABB BAAAA ABAAB AABBA BBAAB AAAAB BABBA BBABB BBAAA ABABA BABAA BBAAA BBBBB BBBBB BAAAA BABBB AABBB BAAAB AABBA AAAAA AABAB AABAB ABBBA AAABB ABAAB ABAAB BABBB BABBB BAABB ABABB BBABA BABBB BABBB BBBBB AABBB BBBAA ABBBB ABBBA BBBBB BBABB BBABB AAABA BABAA AAAAB AABAB BBBAA BAAAB BBBBB BABAB BABBA AABAB BAAAA ABBAB AAABA AAABA BBAAA BABAB BBABB ABBAA ABABB ABBBA AAAAA ABABA ABABA BAAAB ABAAA ABABB ABAAB AAAAA BAAAB AAAAB BBBAA BBABA ABBAA BABBB ABABA BAABB ABABB AAABA AAABA BAAAA BAAAB BBBAB BABBB BABBB AABAB BABAA ABABA BAAAB ABBAB AABBA BBBBB BAAAA AAAAA ABABB ABBBA BBAAB ABBAB BBBBA BBAAB ABBBB BABAB BBBBA BBBAA BAABA BBBBB AAABB AABAA BABAB BBBAB ABAAB ABBAB BAAAB BAABA ABBBB ABAAB AABBB BBAAA AAABA BAABA BAABA BAABA ABABA BABAA ABBAB ABABB BBBBB BAABA BBBAA AAABA ABAAB ABABB 12000 5 1 AABAA ABABA BBABB BBBBB BBAAB BBBBA BAAAA BABBA BABAA ABAAA BBBBA BABBB AABBB ABABB AABBA BBABA ABBBA ABBAB AABAB BBAAB BBBBB BBBBA ABBAB AAAAB BABAB BAABA BBBBB AAAAA AAABB BAABA AABBB ABAAB ABBAA AAAAA BAAAB BABBA ABAAB BABBA ABAAB BABAB AAAAA BAABB BABAB BAABA BBBAB ABABB BABBB BABBB ABAAA BABAB AAABB BABBA BBBAA BBBAA ABABA BBBAA ABBAA AABAB BAABB ABBAA ABAAB BABAA AABAA ABABB AAAAA ABABB BBABB AABAB BAAAA ABAAB BBABB BBBAB ABBAB AAABA BBABA ABABA ABABA ABBAA BAABA BABBB AAAAA BBABA BAABB AABAB BBAAB BBAAA AAAAB BAABA AABBB BABBA AAAAA BAABB ABBBB BABBB AABBB BBBAB ABBAA BABAB ABAAB ABBAA BABBA ABABA AABAA AAABB BBABB BBAAB BAABB ABBBB ABBAB AABAB BBABB AAABB ABBBA ABAAB BBBAB ABAAA BABBA BBABB BABAB BBAAA BBAAB ABBAB BBBAB AAAAB ABBAB ABBAA AAABA AAAAA ABBAA BBAAB BBBBB BAABA BAAAA ABAAA BBBBB BAAAA AABAA BBBAB BABAB AAABB ABAAA BABAB BBBBA AAABB BBAAA BBBAA BBBBB BBAAB ABABA AABAB ABAAB AABBA BABAA AABBA ABBBB AAABB AAABB ABAAA BBBBA BBABA BBBBA BBBAA BBAAA BAAAA AABBB BAAAB ABBAB ABBBA BBABB ABBAB BABBA ABABA AABAA BABBB BABAB BABAB BABBB BBBBB BABAB AAABB BABAA ABABB AABAB AABAB BBAAA AAAAB BBBAA BAABB BBABA ABBAA BBABB ABBAB BAABB ABBAB BABBA BBBAB BABAA BAABA AAAAB BBAAB BABBA BAAAB AAABA AABBA AAABA BABBA BAABA BBBAB BAABA BBBAA BABBB BBAAB ABABB BAAAA ABABA BBBBA BBBAB BABAA AABBA BAABA BABBA AAAAA ABAAA AAABA BAABA BAAAA AABAA AAAAA BAABB ABBBA BAABA ABABA BBAAB BBBAA ABABA ABBAB BAABA ABBBA BBBAA BBAAB AAAAA BBBAA ABBBB BBAAB BAAAB AABBA AAAAB AABAB BAABB ABBAA AAABA BAABB BABBB AABBA AABBA BBBAA AABAB BAAAA AAABB BBAAA BBBAB ABABA BABAB BBAAA BAAAB BABBB BABAA BAABB AABBB ABBAA ABBAA AAABA BAABB BBBAB AAABB AAABA AAAAB BAABB BAABB AAABA BBAAB BAAAA AABBA ABABB BBBAA ABBAA ABABA BBABB ABBBB ABBAB AABBB AAABA BBABB ABBAA ABBAB BAAAB ABABA AABBB BBBBB BBBAA ABABB BBBBA ABBBB ABAAB ABABB BBABB BBBBA AABBB ABBAB ABAAA AAAAA BAABB ABAAA ABBAA BAAAB ABAAB AAABB BBABB BABBB BBAAB ABABA ABBBB BBBAB BBBAB ABBAA BBBAB BABBB BBABA ABABA BBBAA BBBBB BBBAB BABBA BAAAA BABAB BABBA BBAAA BBAAA BBABA BBBAB BBBBB AAABA BAABA ABBAB ABBAA AABBB BBABA AAAAA AAABA BBAAA AABBA ABBBB ABBBA AABAB BABAA AABBB AABBA AABAB AABAA AAABB BAAAB ABAAA BAAAB BBBBB BAABA ABABB BAAAB ABAAA ABBBA ABABA BAABB BBBBA BBABB ABBAA BBBBA BAABB BAAAA BBAAA BABAB BAABA BBABA BBBBA BABAB ABAAB AAAAB ABBBA BABAB AAABA BABBA BBAAA ABBAA BBAAA BBABB ABBAB BABAA AABAA BABBA BBBAB BAAAB AAABB ABBBB BAABA AAABB BBBAA BABBA ABBBB BABBB BABAA BBAAA BABAB BBAAA BAAAA BAAAA BAAAB AABAA ABABB ABAAB ABBAB AAABA BAABA ABBBA BAABB BABBB BBAAB BBAAA BBABB BBBBA BABAA ABABA AABBA AAABA BAAAA BABAB ABABA ABABA BBAAA BAAAA BBABA BABBA AAAAB BBBAA BBAAA AABAB BAABB BAABA ABAAB BBBAB BBAAA AAAAB BABAA AABBA BBABA AABAA BBAAA ABBBB BBAAB BBAAB BAABA BABAB ABAAB ABAAA ABBBB ABAAB ABBBB ABBAB ABBBB AAABB AAABB AABBA ABABB BABAB BBAAB AAABB BAABA AABBB BAAAA AAABB ABBAA ABBAB BABAA ABABB BBBAB AABBB AABAA BBBAB BAABA BBBAA AABAA ABABB BBBBA AABAB BBBBB BBBBB AAAAB BBAAB BABAA ABBAB BAAAB BBAAA BABAA BBBAA BABBA AAAAB ABBBA BBAAB AABAA AAABB AABAB BABAB AAABB ABABA BBBBA ABAAA BBAAB AAAAB BBBBB BBBAA BBBAB BAAAB BBBBB BBAAA BBBAB ABAAB ABBAA AAAAA AAAAA AABBA AAABA BBBBA BABAB BBAAB ABBAA BABBA BAAAB BBBBB ABBBA BBBAA BBAAA AABAB BABBA AABBA BABBB BBBBB BBABA BBBAA AABBA AABBA BABAA BBBAB BABBA BBABA ABBAB BBBAB ABAAA AAAAB ABAAA ABABB AAABB BAABB AAAAB BBBBB BABBA ABBBB BABAA AAAAB AAABB BBAAA BBBAA AAABB AABBB AABAA BBAAB BAABB ABBBB BAABA BBABB ABBBA AAABB BBBAB BABBA BBBAA BABBB BBBAA BABAB BBBBB BBABB BABBB BABBB BABAB AABBA BBBBA BAABB AABBB BBABB BABAB AAAAA ABBAB AAABB ABABB ABABA AABBB BBAAB BAABA ABABB BAABA AAAAB AABBB BBBAA BABBB ABAAA BBABB AAAAB AAAAA ABABA BAAAB BAABB BABBB BBBBA BABAA BABBB BABBA BABAA BBABA BBAAB ABBBA AAABA BBABB ABBAA ABBBA ABBAA ABABA ABAAA BAAAA BABAB AABAB ABBAB BABAB BBABA ABAAA ABAAB ABABA ABBBA BBAAB BABAA AABBA ABAAA ABBAA ABABA AAABB ABAAB BBBBB BBBAB ABBBB BBBBB BBBAA AABAA ABABA ABABB ABAAB ABAAB AAAAB AABBB ABABA BAAAA BAABA ABAAA BBBAB BAABA BAABA BABAA BABBB BBABB AABAB AABBB BBBBB AABAA ABABB ABAAA AABAB ABBAA BABAB AAAAA ABABA BBBAB AAABA BBABB BBABB AAAAB ABAAB AABAB BBAAB BBBAB ABAAB BBBBB BAAAB BBBBB BAABA ABBBA ABAAB ABAAB BAAAA BAAAB BBBBA BBABA AAABB AABAB AAAAB AABBB ABBAB ABABB AAAAA BABBA BAABA BAAAB BBBAB BAAAB BABAB BABAA BAABA BABBA BBAAA BBABB ABBAB BBABA BABBB ABABB AAAAB ABABB ABBBB ABBBA AAAAB AABBA BBBAA BABBB AABAB ABBBB ABBAA ABAAB ABABB BAABB BBABA ABABB ABBAA ABBAA BAAAA BBAAA AAABB ABAAB BABBB AAABA BBBBB AAABB ABBAB ABBAB AABAB BAAAA AABAB BBBBA ABBAB BABAB BBAAB AAAAB BBBAB ABBBA BABBB AAABB BBABB ABBAA BAABA BBABA AABAA ABBAB BAABA BBBBA ABBBA ABABB BABBA BBABB ABBBA BBAAA AABAB AAABA AAABB BABAB BAAAA BABBA BBBBB BBBBB AABAB BBAAB BBBAA BAAAB BBBAA BABBA BBBBA AABAB BBABA ABBBA AABBB BBABA ABBBB ABBBB BBBBA BAABB AABAA BABAB BBBBB BBAAA BBABA BBABB AABAB AAABB ABAAA ABBBB BBBBA AABBA BABBB BAABA ABABB BABBA AAAAB AAAAA ABBBB BBBAB AABAA ABABA AABBB BABAA AABBA BAAAA AABBA ABBAB BBABA BBBAA BABBB ABABA BBBBB BBAAB ABBBA BAAAB BAAAB BBBAB ABAAB AAABB BAABA BBABB ABBAB AAABB AABBB BBABB BBAAA BAABA ABBAA AAAAA ABAAA ABABA BAABB AAABB AAAAB BBBAB BBBAB BAAAB AABAA BBBBA BBAAB ABAAB AAAAB ABBBA BBAAB ABBAA BABBA BAAAA BBABA ABBBA BBBBB BAAAA BAAAA AAAAA AABAA BABAB ABABB BBABB ABABA BBAAA BABBA BBBAA ABBAA ABABB ABBBA BBBBA BAABB BBBAA ABAAB BBABB BBABB BBAAA BBBAA AAABB BABBB ABBBA BBAAB AAABA BABBB BBBBB BABAA AAAAA ABBBA ABAAA ABABB ABBAB ABABB BAAAA ABABA BBBAA ABBAA BAABA AAABB AAABB AABBA AABAB BAABB BABAA BBABB BBAAA ABABA AABAA BAABB AAAAA AABAA AAABA AABBB BABAA AABBB BBAAA BAABB BAAAA BABBB BAAAA AAABA ABABB BBAAB BAABA BABAB BBBBB AAAAB BAABB ABBBB BBBAB AABAB ABABB BBAAB BABAA AABAA BBABA ABBAB ABBAB AAABB BAABA ABBAB BABBA ABABB BAAAB BABAA BBBBA BABBB BABBA BBAAA BBBAA AAABB BABAB AAAAB BBBBA AAAAA BBBBA AABAA BBBAB AAABB BBAAA BBAAA BABBB ABBBB AABAA BABAA ABAAA AAABA BBBBA BBBAA AAABB ABBAB ABBBB ABABB BABAB BBAAB AAAAB AAABB AABAA ABABB BABBB BBBAA AABAB BBABB BBBBB BBBAB BBABB AAAAA AAAAB BBBBA ABBAA BBBAA BABAA BABAA AAAAB BBBBA BBAAA BBBBA AABBB BABBA BBBBB BBBAB AAABB ABAAA BBAAA ABBAA ABABA BABAB BBABA BBBBB BBAAB BBBBB AABBA BABBA BBAAB AABAA BBBAA ABAAB BBBBB ABAAB BAAAB AABBA AAABA AAABA AAABB ABBAB BABBA BABAB BBAAA BBABA ABABA AABBB BABAA BABAA ABABA ABAAB AAABB BAAAB ABABB BBAAB ABAAB ABBBB ABBAA BBABB BBBAA BBBAA BAABA ABAAA ABBBA BAAAB ABAAA ABBBA BABBB AABAA ABBBA BAABA BBAAB BBBBB ABBAB BBBAA ABABA BABAB BAABA ABBBA BBBAB ABAAA BBBBB AAAAB BABBA AAABB BBBBA BBAAB ABAAA BABBA ABBAA BBAAB AAAAB ABABA BBBAA BBBAA BBBBA ABABA AABAA BAABA AAABB ABBBA ABAAB BAAAA ABBAA BABAB BABBA AABBA BBAAA ABABA ABBBA BABBA AAAAA BBBBA ABABB BBBAA ABBAB ABAAA BAABB BBAAA BAABB ABAAB AAABB ABBBB BBBAA AAABA ABABA BABBA BBBAB BBABB AABAA AABBA ABBAB ABABA BAABA ABABA AAABA AAAAB ABBBB AABAB ABABA AAAAA BBBBB AAAAB ABBBA AAAAB ABBBA ABAAB ABABB BABBA AABBB BBAAB ABBBA BAAAA BBABA BBABB BBBAB AABAA AABAB BAAAB AABBB BABAA ABABB BBABB AABBA BAAAA ABBAB ABBBB ABAAA AAABA AAABA AAABA AAAAA BAABB BBABB AAABA BBABB BABBA BBBBB AAAAB BBAAB AABBB ABBAA BAABB BABBA BAAAB ABABA ABBAA AAAAA BABBA BBBBB AAAAB BAABA BABBA BBBAA BBBAB BAABA BABBB AABBA ABABB BBAAA AAABA ABBAA BAAAA ABBAA ABAAB ABBBB BAAAB AABBB ABBAB BBBAA BABBB ABBAA AAAAB BAAAB BBAAA BBAAA BBABA AABAA BBBAA BBBAB AABAB BBABA BABBA BABBB BBBBB ABAAB BBBAA ABAAB BBBAB BBBBA BBABA AAAAB BABAA ABABB AABAA ABBAB BAAAB AABBA ABBAB ABBAB ABBBB BAABB BBABB BBBAB BBBBA ABBAB AAABA BAAAB ABABB AAABB BBABA ABABA ABBBA BABAB ABAAB AABBA AABAB AAAAA ABBAA BBBBA AAABB BBAAA BBABA BAABB ABBBB BBABB ABBBB ABAAA BBABA BBAAA BBAAA BBBBB BBABB BBBAB BBBAB BAABB BBAAA BABAA AAABB ABBBB ABABA ABBAA AAAAB ABBAB BBABB AAAAB AAABA AABBA AABAB ABBBA BAAAB AABBB BABAB BBBAA BBAAA AABAA ABBBA BBAAA BAAAA ABBAB ABABB ABBAA BBAAA ABAAA BAABB BAABA BABAA BAAAA BBBBA ABAAA ABBAB ABABB AABBB ABBAB AABAB BAAAB AAAAA AAAAA BBABB BBABA AABBB BBAAB ABAAA BABAB ABAAA ABAAA AAABB ABBAA BABBB BBBAB BABAA ABABB BBAAB BAABB AABAA BABBA BAABA BBBAB AABBA BBBBA AABBA BAABB ABBAB AABAB BBAAA BBBAA ABBBB ABBAB ABAAB BBBBB ABBBB BABBB ABBBA BAAAB BAABA ABAAA AAABB AABBA BBBBA AAABB BAAAB AABBA BBBBB BAABA ABBAA ABAAB AABBA ABAAA AABAB BBAAB BABAA ABBBB AABAB BAABA BAAAB BBBAB ABBBA AAAAA AAABA ABAAA BAAAA AABAA ABAAB AAABA AAABB AABAB AABAB BBAAB ABABA BBAAA ABABB AAAAA BBAAB ABBAA AAAAB AABBA BABBB BAAAA AAABB BAABB AAABA BAAAA AAAAB AAABB BAABB BABAB BBBAA BAAAA AAAAB ABBBB BABAA ABBBA BBBBB BBAAA ABBAA BABAA ABBBB ABBAB ABBAB AAABB ABBAB BABBB BBBAB ABABA BBABA AABBA ABABA AABBA AAAAA AAABB BABAA ABABB AAABA BAABA ABBBA AAAAB ABABA BABBB BBBAB BBABB AABAA ABBAA ABAAA AABBA BAABB BABAA ABABB BABAA AABAB BBABB ABBAB BBBAB BABBA ABBAA BBBBB ABAAA BAABB AAABB BBABA ABBAB AABAA AAABB BAABB BAAAB ABBBA AABBB BBABA AAAAA BABAA ABBAA BABBB AAABB BABBB AAAAA BAAAB AAABB BAABB ABABB AAABB ABBBA AAAAA BBBAA BABBA BBBBA ABBAB AABBA BABBB ABBBA BABBA ABBBB AAABA AABBA ABBAB BBBBA BABAB ABAAA AAAAB BABAB BABBA ABABB BBBBA BBBAA AABAA BBBBB BBBBB BBBBB ABBAA AABAB BABBA ABBAB BAAAA BAAAB BAABA BBABA BABBA ABBAA BBAAA AABAB AABBB BAABB BBAAB BBBAA ABBBB AABBA BABAA BABBB BAAAB ABBBA BBAAB ABABA ABBBB BBAAB BAAAA BAAAA BBBAB ABBAB ABBBB AABAB ABABA BBBBB BABBA BBBAA ABAAA BAABB AAAAB ABBAA BABBA BBABB BAAAB ABABB BAAAB BBBBA AABBA BABBB ABAAA AAAAB BBBAA AABBA BAAAA BBBBA ABABB AABBB BBBBA BAABA AABBA BAABB ABABA AAAAB BAAAB ABAAB ABABB BBBAA BAABB ABABB BBABB BABAB BAAAB BBAAB BBAAA BBABA BAAAB BABBA AABAB BBABB BBBBB BBBAA BBBBA ABBBB ABAAA BABAA AAAAA BBBAB ABBAB ABBAB AAAAA ABAAB BBBBA ABBBB BAABA ABABA AABBA BBBBA BBAAB AAABA ABAAA BBAAB AABBA AAAAB BAABA AABAA AABBB AAABA ABBAB AABAB AABAB BBABA BAABB BBBAA AABAB BBABA ABAAA BBBAA AAABA ABBBA ABBBA ABBBB ABBBA ABBAA ABBAA ABAAB BAABA ABBAB BAAAA AAAAB BBABB ABBBB BAABA BAAAB ABBAA BAABB BABBA BBBAB BAAAA ABBBA BABAA BAAAB AABBB ABAAA ABBBA BABAB BBABA AAAAA ABABB BBBBB BBBAA ABABB BAAAA BBAAB AAAAA AABAA ABBBA ABBBA ABAAB ABABA AABBA BABAA BAABA ABABB BBBAA BAAAB BBBAA ABBAB BABBB ABBBA AAAAB BABBA BBBAA AABAA AABBA BBABA AABAA BBBBA BBAAB AABAA BBBBB ABBAA BAABA BABAA AABBA ABBBB BABAB BBABB BBABA ABABA BABAA AABAA BBABB BAAAA ABAAA BBABB AAAAA BABAB ABBBA BAABB BABBB BBABA BBBAA AAAAB BAAAB ABABB AABBA BABAA BBABB BABAB BABBA BBAAA ABABB AAABA BBABB ABAAA BBBAA BABAA BABAA BBBAB BBAAA BBBBA AAAAA ABBAB ABBAA ABABA BBBAA ABBAA ABBBA AABAA BAABA ABABA BBBAA ABAAB BABBB ABBAA BABBB BBBBA BBBAB ABBBA BAAAA AAABB BBBBA BBBBB AABAA BBBBB BBAAB BBAAB BABAB ABAAB BBBAA AABBA BABAB BBABB AABAB ABABB BAAAA BBBAA BABBA BABBA BBBAA ABBAA ABAAA BABBA BAAAA BABAB ABAAA AABBA ABBAB ABABB AABBA ABABA AAABB ABABA BABBB BABBB ABABB AAAAB BAAAB BBBAB AAABA AABBB AAAAB BBABA BBAAB BABBB BBBBB BBBAA ABBAA ABAAA BBABB BABBA BBBBA AABBB BABBA ABBBB AABBB AAABA BBABB BABBB BBBAB BBAAA ABAAA ABABA AAAAB ABABA ABAAB BAAAB BABAA ABBBB ABAAA BBABA ABABA BBABA BBBAA ABBBB AABAB BBBAB BAAAA ABABB ABBAB AABAB BAAAA AABAB AABAB AABBA BBBBA AAAAA BABAA AAABB AABBA BAAAB BBBAB BAABB AAABB ABBBA BABAB AAAAA ABBBA BBAAB BABBB BAABA ABABB ABAAB ABBAA BBAAA ABAAB ABAAA ABAAB AABAA ABBAA ABBBB AABBB BBBBB BABBB BBAAB BBABB ABBAB ABAAA BBAAB ABABA ABBAA ABAAB ABBAB BAAAB BAAAB BABAB BABAA BAAAB BBAAA AAABB BBAAA AABAB ABBBB ABBAB ABABA ABAAA ABABA BBBBB BAAAB ABBBA BABBB AAABA BBBAA BAABB BBABA AAABA ABABA AABBA ABAAA ABABB AABAA ABAAB BAABB BAAAA ABBBA ABBAB BABAA AAABB AABAA BABAB BABAA AABAB BABAA BAABA BAABB ABAAA ABBAA BBBAB AAABA AAABB BBABA BAABB BBAAB AABBB BBBBA BABAA BBBAB ABAAA AAABA BBAAA BAABA ABAAA BAAAB AAABA ABBBA AABBA AAABB AABAA BBABB ABBAB BBAAA AABBA AABAB BBABA BBBBA ABBBB BAAAA AAAAA BBABB BABAA AAAAB ABBAA BBBAB ABBBA BAAAA ABAAA ABBBB ABABB ABBBA ABBAB ABBBB BABAA BBBAB ABAAA BABAA ABBBA ABBAB BBABA BAAAB BABAB BBABB BAAAA BABBB BABAA ABBAB ABBBB BAAAA ABABB BBAAA AABAB ABABA AAABB BABAA AABBA AAAAB BABBA BABAA BABBB ABBAB BBBAB ABAAA ABBAA BBBAB ABABB ABAAB ABBAA AABBA AAABB ABBBB ABBBB BABBB AABBA ABAAA ABBBA AABBA BABAA ABBBB BABBB AAABB AAAAB AAABB BAABA BABBB BBABB AAAAB ABBBB AABAA BBABA AABBB AABAB ABBAA BABBB ABABA BAAAB BAAAB ABABA AAABA BBAAB BAABA ABABA BBBBB BAABA ABAAB BABAB AABBA BABBA AAABA BBBAB BBAAA BBBBA ABAAA AABAB BBBBA BBAAA BBBAA AAABA BABBA ABBBB BBBBB ABBBB BAABA AABBA BABBB AABAB BABBA ABBAA BBBAA ABAAA BBBBA AABAA AAABB BBAAB AABBA ABAAB ABBAB ABABA AAABB AABAB BBBAB AAABB BBBBA BBBBA AAAAB BBABA ABBBA AABAB BAAAB ABBBA BAABB AABBB ABBBA ABABB BBBBA AAAAA BAAAA BBBBB ABBBB ABAAB BBBBB ABAAA BBABA AAABA AABAA BBBAB BABAB ABBAB ABBAB BABBA AAAAB BAAAB ABBBA AAABA BAAAA ABABB ABAAA BABBA AAAAA ABABB AABAB AABBA AAAAB AAAAA BABAA BABBA BAAAA AAABB BAAAA BBAAA ABABB BBBBB BABAA BBAAA ABAAA AAABA AAAAB BABAA ABBAB BBBBA ABBBB ABBAA BABAB ABABB BAABA BBAAB BAAAB BAAAA ABABB AAAAB BBAAA BABBB ABABB AABAB BBBAB ABBBA AABAB ABBAA BABBB BBBAA BBBBB BABAA ABBBB BAABB BAABB BAAAA ABABB BBABB BBBAB ABBBB AAAAB BAAAA ABBBB BBBAA ABAAB ABABB BAAAA BBBBB BABAB AABBA BBBAB BABBA BBAAB ABBAB BAABA BABAB ABBBB BBABA BBBBA AAABA BBAAB BABAB BBAAB BABAB BABBB BABBB BBABA BBBBB BAAAB ABBBA AABAA BAABB BAABB BBAAB BABAB ABABA BABBA AAAAA BABBB AAABA AABAA BBBAA BABBB BBBAA AAAAB AAABB BABBB AABAB BAABB AABBB BABAA BBAAA BABAA BBAAA BABAB BABBB BAAAA BAABB AABAA BAABA ABBAA ABABB AAABB ABBBA BAAAB BAAAB ABBBB AAABB AABBB ABABB ABBAB AAAAA ABABA AABAB AAAAA BBABA ABAAA BAABA AABAB ABBBB AAAAA ABBAB BBAAB ABBAA BAABA BBBBB AABAB BBBAA ABABB ABAAB BBBBA ABBBB BBBAB BBABB BBAAA BAAAA AABBB BBAAA ABBBB AAAAA BABBB BBBBA AABAA BBBBA AABBB ABABB BBBBA ABABB AAABA BBBAA BBABB BABBA ABBBA AAAAA BAABA ABAAB ABBBB ABBBA ABAAB BBBAB BABAA AAAAA ABBAB ABABA BBABA BBABA BBAAA ABBBB ABABA BAAAA ABBBB AAABA BABBA AAABB BABBA ABBAB AAABB ABAAB BAABA BBABB BBABA BBABB ABABB BBABB BBBBA ABAAA BABAB BABBA ABBAB BBAAB ABAAB BABAB AABBB BBBAA BABAB BBBBA AAABB AAABA AABAA BABAA AABAA ABAAB BBABB ABBBB AAABB ABBAA AAAAB AAAAB BBBBB BBAAB AABBB ABBAB AAABA BBBBB ABAAA ABABB BABBB AAABA AABAB BBBBB AAABA ABAAB ABAAB AABAB BABAA ABBAA AABAB BAABA BAAAB BBABA BBABA ABBBA BABAB BBBBA BABBA BBBBB AABAB BAABB ABBAA BBABB AABBB BBABB ABABA BAAAA AABBB BABAB BBBBA ABABA ABBAA AAABB ABBBB BBBBB ABAAA ABABB ABBBA BABBA ABABA ABABB BABBB BABAA BABBA BABAB ABAAA BBABB BBBAB AAABA BBBBA ABAAB BBBAA BABBA BABBB BABBB ABBAB BBBBA BBBBA AABAA BABBB AABBB ABBBA BBBAA BBABB BAABA BABBB ABABA BBBAB BBBBB AAABB BBAAA BBAAB ABABB AABBA BAAAB BBABA AABAB AAAAA BABAA BBAAA AABAB BBAAA BBAAA ABBAA AABAA AABAB ABAAA ABBBB AAABB ABBAA AAABB AAABB AAABA ABAAB BBBAB BBBBA BABBA BAAAB AAABB BBBBB BBBBB BBBAA AABBA BABBB BBBAA AAABB BABBA AAABA BBBBA BAAAA BABBA ABBBB BBABB BAABB AAAAB ABAAA BBBAA BBABB ABBBA AABBA AAAAB ABAAA BABBA ABBAB BBAAB ABABB BBBBB ABAAA BAABB AABBB BBBBB BBBBB ABABB ABBAA AABBA BBBBA BBBAA ABABB BBAAA ABBAB AAABA ABBBB ABAAA BABBA BBBBA BAAAB AABAB ABBBB BBBAB ABABB ABBBB BBBBA BBABB ABBBB AAAAB AAABB BAABA BABAB BBBBA BABAB BAABA AAAAA BABBA AABBB BABAB ABBBB BABBA ABABA ABAAA BBABB BAABA ABBBA ABAAB BBBBB BABBA BAAAA BBBBB BAAAB AABBB AAAAB BBAAA BABAA ABABA AAAAB AAABB BAAAB BBBAB BBBAB BAABA BABAB ABBBB AABAA BABAB BBBBA ABBAA ABBBA BBAAA BBABB ABBAA BABAB AAABA BBBAB BBBBB BAABA AABBA BABAA BBBAB AABBA ABBBB BBBAA BBABB AAABB BAABB ABBAA BAABA AABBB BABBB ABBAB BBBBA AABAA ABAAB BAABB ABABA BBABA BAABB ABBAA BBBBB BAABA AAABA AAABB ABABA BBABA BABBA ABABA BAAAA BABBA AAAAA BBAAA ABAAA AABAB AAABB BABBB BBBBB BBAAA ABBAA ABBBB BABBB BAABB ABABA AAABB BABAB ABBBB BBAAB ABABA ABABA ABAAB ABABA BABAA AAABA AABBA BBABA AAAAA ABBBB BABAB BBBAA BAABB BABBB BBAAB BAAAB BABBB ABBBB ABBAB BAAAB AABBA ABAAA ABAAA ABBBA BBBAB AABBA BABAA BAAAA ABAAA BBBAB BBABA BBABB AAAAB AAABB ABBBB AABAA BABBA ABBBA AABAB ABBAB AABBA AAABB BBAAB BAAAB BABAB ABABB ABAAA BABAA BBABB AAAAA ABABB BBBAB BAAAB BBBAB BBBAB BABBB BAAAA ABAAB BABBB ABBBA ABABB AAAAA BABBB BABAB BBBAB ABAAA AAABB BAAAA BABBA ABAAB ABBAA BABAA AABAB AABBA BAAAA AAABA AAABB AABBB BAAAB ABABA AAABB BAAAB ABBAA BAABB BBAAB ABBBB BBABA AAAAB ABBAB ABAAA AAAAB AABBA AAABA ABBAA BBAAA BBBBB BBBBA ABBAB BBABA AABBB BAABB BABAB BBBAB AABBB BBAAA AABAA BBAAB AABAA AAAAA BBBBA BBABA BBAAB ABAAA ABBBB BAABB AAAAA BBBAB BBABA ABBAA ABABA BBBBA BBAAA AAABB ABBBA ABBAB ABAAB ABBAB AABAB BBABA ABAAB AABBA AABAB ABBAA AAABB AAABB BAAAB AABAB BBBAA BABAB BABBA BBBBA BABAA BBBBA BBBBB ABBAA ABAAB BAAAA ABAAB BBAAA AAAAB ABABB BAAAB AABBA ABBBA ABBAA BBBAB BBBAA AABAB BAAAA AABBB AABAA BBABB BABBB BBBBA ABBAB BBBAA BBBBA BBBAA BABBB AAAAA AAAAB BAAAA BABBA BBBAB ABBAB ABABB AAABB BBABB BABAB BABBB ABBAB BABBB AAAAB BBABB BBBAA BAABA BBBAA AABAB ABAAA ABABA AAABA BBBAA ABAAA BABAB AAAAA BABBB AAABA BBAAB ABABA ABAAB BABAB BBAAA AABBA ABBAB AABAB BBAAA ABABB AAAAB ABBBB ABABB BBABA AAAAA BBBBB ABABB AABBA AABBB AAAAB BABBB BBABB ABABB AABAA AABAA BABAA AAABA ABBAB AAABB BBABA BBBAB BBBAA ABABA BBAAA ABAAA BABBB ABABA AABBA AAAAA BBABA BBBAB ABBBA BBBAB AABAA ABBAB ABAAB BBAAA ABBBB BBBAB ABBBB ABBBB ABAAA BABAA ABBBB BAAAB BBAAA AAAAB AABAB AAABA BBABB BBBAA BAAAA AAABB ABBAB ABBBA BAAAB BBBBB BBBBB BABBA BABBB BBABB BABBB AABBB ABBAA ABBBB BBBAB BABBB ABABB BAAAA AABBA BAAAB BABBB BBAAB BABBB AABBA BABAB AABBB BBBBB BABBB AABBA AABAB ABBBB AABAA BABBA ABAAB AAABA AABBB AABAB AABBB BABAA BABAA ABABB ABABA BABBB BBBBA AAAAA BBAAB AABAB BABBA BAAAB BAAAB AAABA BAABA AABAB AABAA BAAAB AABBB ABABB BBBAA BAAAA BBBBA ABAAA BBABB BBBAB AAAAA ABABA BAAAA ABAAA BBAAB BBBAB BABAA BABAB BABAB ABBAA BBABA ABBAB BABBB BABAA BABAA BBAAB BBABB ABAAA ABABA BBBBB BBAAA AABAA ABBBB AABAA BBABB ABABB AABAB AAAAA ABBAB ABAAA AABAB AABAA BBABA ABAAA ABBAA AABAA BABAB BBBBA BABAA BBAAA ABBAA ABABA BAAAA ABBAA AABAA AABAB AABBA BBBBB AABAA ABAAA BBABA BBAAA AABAB ABABA BABBB BBBBA BBBAB AABAA BABBA AAAAA BBBAB ABBBB AABBB BABBB BBBBA ABABB BBAAB BAABB BABAB ABABB ABABA AABBA BABAB AAAAA BBBBB AABBB AABBA ABABA BBBBA BABAB BAAAA ABAAB AABBB BBBAA ABABA BBAAA ABBBA AAABA BBAAA AAAAB BBAAB ABAAB BBBBB BBAAB BBBAB BABAA BBBBB AABBB AABAB BBABA ABABB BBBAB AABBA BBBBA AAABB BAABB BABAB BBAAB AABAA BABAA AAAAB AABBA ABBBA AAABA BBAAB BAABA BBABA BABAA ABABA BBABB AABBB ABAAB BAAAB AABBB BABAA BABBB AAABB ABABB BBAAB BABAA AABAB BBBAA BABBB BBBBB ABBAB ABAAA AAAAB ABBAA BABAA AABAB BBBAA ABABB BBABB BAAAB ABABB BAABB BAAAB BAAAA BBAAB BABAB BAAAB BAABA BBAAA AAABA BAABB BBBBB BBAAB BBABA BBBAA AAAAB BBBBA BABBB ABBBB BBBBA ABAAB BBBBA AABAB BBBAB AABBB BAABA BABBB BBBBB ABBBA BABAA ABBAB BABAA ABABB ABBBB BBBAB ABAAA BBAAB BBBAA BBAAA ABABB ABABA AABBB ABBAB ABABA BABAA BAAAB AAABA BBBAB BBBAB ABBBB ABBBA ABAAB BBBAA ABAAA ABAAA BAABA AAABB AABAB ABABA AAAAA BAAAA AABAA ABBAA AABBB BABBA BABBA BBAAA ABABA ABBAB ABAAB BAABB BBBBA BBABB BBBBB BAAAA ABBAB ABABA ABABB BAAAA AABAB BABAA BBABA BAAAB BBABA BBBBA BAABB AAABB ABABA BBBBA ABBAB BBBBA ABABA ABBAA ABAAB ABBAB BAABB AABAA ABBBA AAAAB AAAAB BABBB BAABA BABBB BBBBA BBBBA BABAB BBBBB ABBAB AABAA ABBBB ABABA BABBA BABAA ABABA AAABB ABAAA BBBAB ABBAB AAAAB AABBB BAAAA BBBBB BABBA BBBBB ABABA AAAAB BAABA BBBBB BABBB BBBBB AAABA BABBB BABBA BABAB BABBA BAAAA ABABA AAABB BBBBB BAAAB AAABB ABABB ABAAA AABAB ABAAA BAABA BABBB ABAAB ABAAA AABAB ABAAB ABBAB BAABB BABBA ABABB BBABB BBAAB BBBBB BBBBA AABAA AABAB ABBBB ABBAB BBABA BAAAB ABAAA BABBA BAAAA ABBAB AABAB BBABA BBAAB BAABB ABBAB ABABA BABAA BABAB BBBAA BBBAA BAABA BABAA ABBAA BBBBB ABBBA BAAAB BABAB AAAAA AABAB BBBAA BAABB BBAAA AAAAA ABABB BABAA BBABB BABBB ABAAB BBABA ABAAB AABAB ABAAA ABABB AAABA AABBA BBBBA BBBBB BBABA AABBA AAABA AAABB ABAAA ABBBB ABBAB ABBAA AABAA BAABA ABABB BBABA BBBBA ABBBB BAABA BBAAB AAABB AABBA ABABB BAAAA BABAA BBBAB ABABA BABAA ABABB BBABB AAAAB BBABA ABABB AAAAA BBBBB BABAB ABAAB AABAA AAABB BBBAB BAAAB BBBAA ABBAA ABBBA BBAAA ABBBA AABBA BBAAB AAAAA BBBAB ABBBB AAAAB BABBA ABABB BABBA BBABA BAABA BABBB ABBBB BBAAB BAABA AABBB BAAAA BBAAB ABBBA ABAAB AAABA ABBAB AAAAB AAAAB BBABA ABABB BABBA BABBB BAABB BABBB BBBBB BBAAA BBBAA BABBB BABAA AAABB ABBBB ABBBB BABBA ABABB ABBAA BABAA ABAAB BABBB BAAAA BBAAA BBBAA BBABB BBAAA ABAAB ABBBA AABBA ABBAB BBBBA BBAAB BABBA BBABA BBBBA BABAA BBBBB BAAAA BBABB BABAB BABBA AABBA ABABB AABBB AAABB ABABA BBABA ABAAA BABAA AABAA AAAAA BAAAA BBAAB BABBA AABBB BBABB BABAB BAAAA BABAB BBAAA ABBBB BABBA BBAAB BAABA BAAAB BBAAA AAABB AABAB BAAAA BABAB BABAB AAAAA AABBA BAAAB BAABB BAABB BABBA ABABB BBBBB BBBAB BAABA BBBBB BABBA ABBAB BBBBA BAAAB BBAAA ABABA BBAAA BBABA AABAA BBBBB BBAAB AAABB BAAAA AAABA AAAAA AABAB AABAA BBBAB ABBAA AAAAB ABAAA ABBAB AABAB BBAAA BABBB BBAAA AAABA AABBB ABBBB BABAB BBABA ABAAB BBBBB BBABB ABBAA BABBA BAAAA BAABA AAABA BAAAA BBBAA BBBBB BBBBA BABBA ABBBA ABBAB BAAAB BAAAA ABBBA ABABA AAABB BBBBB AABAA AAABB AABBB BBBBA ABABB ABAAA BAABB BAAAB ABAAB AABBB BBBAA AABAA BBBAB AAAAA ABAAA ABABB BBABB BABAA BABAA ABABA ABAAA ABBBB ABAAB AAAAA BABAB ABABB ABBAA BAABB BABBB BBBAA AABBA BBABA AABAA ABBBA AABAB BABBB BABAB BBAAA BAAAB AAABB ABBBA ABABA BABBA BABAA AABAB BBBAA BBBAA BBABB AAAAA AAABB ABBAA BBBBB AABBB BBAAB BABBA ABBBB ABBAA BAAAA BABAA BAABA BBAAB BAAAA AABBA AAABA BBAAA BAABB ABABA BBAAB BABAB ABABA BBBAB BBBAA BBAAB AABAA ABAAA ABAAA ABAAB AABAA BBAAA AAAAA ABAAA AAAAA AABBA BBBBB AAAAA BAABB BABAB AABBA ABABB BAABB AAAAA BBBAB ABABA BBABA ABBBA BBBBA AAABA BBBBA AABBA BBBBB ABAAB AAAAB AAABB BAABA BAABB BABAA BAABA BABAB BABBB BBBAB AAAAA AABAB ABABA BBAAB BABAA BAABB BAAAB BBBAA BABAB AABBB BBABB BAAAB BABBB BABBA BBBAA BBBAB BAABB BAABA ABAAB ABBAB BBAAA AABBA ABABA ABAAB ABABB ABBAB BBBAB BABBA BAABA AABAA BAABB ABBAB ABAAA BAAAB BABAB BAAAA BBBAB AABAA BABAA ABABB BAABA BBABB BAAAA AAABA ABBBA AABAB BBABB ABABB ABBAA ABAAA BAAAB BAAAB BBABA BAABA BABAB BABBB BABBA BBABA ABAAB BAABB AAABB ABBAB BBBBA AABBB AABBA BAAAB ABABA AAABB ABAAB ABAAB BBBAB BBABB BAAAA AAABA BABAB ABBBB AAABA ABBBA ABBAA BBAAB BBAAA AAABB BABBB AABAA ABBBA BBAAA AAAAB ABBBB AAABB BBAAA BBBBB AABBA BBABA ABBBA BABBB ABABA AABBA ABBAA BAAAA ABBBA ABBAB BAABB BAABA BABBA AAAAB AAAAB BAAAA BAAAB AAABA BBABA ABBAA BABBB AAABB AABBB ABAAB BABAB ABBAB AAABA AAABA BAABB AABAA BAABA ABBAB ABAAA BAABB BAABA ABAAB ABABB BBBBA BABBA BBBAB ABABB AAAAA BBBAA BAAAB ABBBB BBABB ABBBB ABBBB ABBAB AABAA BBAAA BBAAB BBAAA ABBBA ABAAA AABAB BABAA AAAAA BBBAB AABBA AABBB BBBBA ABBBB BBAAB BBBBB BBBAB BBABB ABAAB AABAB ABAAB BABAB AAABA AAAAA BBBBB BAAAA ABBBB BBABB AAABB ABBBA BBBAB BABAB AAABB ABBBB AABBA BABAA ABABA BABBA AAABB ABAAB ABAAA BABAB BABBA ABAAB AABAA AAABA AAAAB ABAAB BABBB BAAAA BBBBB AAAAA BABBA BAABA BBABA BAABB BBBBA BABBB ABABB AABAA BABBA BBABA BBBBA ABBAA AAABA ABBBA BBABB BAABB ABBAB ABBAA BBABB BAAAB BABBA AABAA BABBA BAABB ABBAA ABBAB BABAA AAAAA BABAB BBBAB BBABA BABAA AABBA BAAAA AABBA ABBBA BBBAB BAAAB BBBAA AABAA AABBA AAAAB ABAAA ABABB ABAAB ABBAB BBABA AABBA BBAAB BBABB BAABA AAAAA ABBBA BABBB ABAAB ABABB BBABA AABAA BBBBB BBABB BAABA ABABB AABAB ABBAA BABBA AABBA AAAAB AAABA BBBAA BBBBB AABBB ABAAB BAAAA BABBA AABBB BBBAA ABABA ABBBA BBAAB BABBB BBABA AAAAA BBAAA BBBBB BBABB BAABB BAAAA ABAAA ABBAA ABBBA BABBA ABAAB AAABB ABBAB BABAB BBAAB BAABA BBAAB BBAAB BBBAA BBABA ABBAB BABAA AABAA BAAAB BBBAA BAABB AAABA BABBB BAABA AAABA BBAAA ABBAA BBABB BBBBB BABBB BABBB BAAAA BBABA AAABB BAAAA AABAB BAABA BBBAA BABBA BBAAB BABAA BAABA AABAB BBBBB ABBBB BAABA BAABB BBBAB BAABB BBABA AABBB BBBAB AAABB AABAA AAAAB BAAAA BAABA BAABB AABBA ABBAB BBABA BAABA BAABB AABBB ABBBA ABAAB BAABB BABAB AAABB ABBAA BBAAA ABBBA BAABA AABBA BBBAB AAAAA BBBAB BABBA BABAA ABBAB BABAA ABABA BBBAB ABBBB BBABA BAABB BBBAA AAABA BBABA ABBBB BABAB AAABB BBBBB BBBBB BBABB ABABA BABAA BAAAA ABAAB ABBBB BABAB BBBAA BAAAA BABAB ABBAB BABBB BBABB BAABA AABBB ABABB AAAAB AABAA BAABB AABAA BAAAB AAAAB AABAB AAAAA ABBAB ABAAA ABBAA BBBBA BBABB AAAAA BABAA AABBA BABBB AAABA AABAA BABAB BBBAB BAABB BABAB BAABB ABAAA AAAAA ABABA BBABA BBABA BAABA BBABA ABBAA AABBA AAABA ABBBA ABBAB BBABB BBBBB ABAAB BABAB BAABA ABAAB BBBBB BBBAA BBAAB AABBB AABBA ABBBA BABBB ABABA ABBBB ABAAB ABABA ABBBB BBBBA BBABB BAAAA BABBB AABAB BBAAB BAAAB BABAA ABBAB AABAB ABBAA AAAAB AAABB BBBAA AABAA BABBB BBABB BBBAA BABAA AABAA BBAAB AAABA ABBAB BBABA BBAAA BBBAA BBABA ABBAA ABBBB ABABB AAABB BAABA AAABB BBAAA AAABA AAAAA BABBA AABAA BBBAA BABAB ABBAB ABABB ABAAA ABBBA AAABB AABAA BABAB BBABA BABAB BBBAA ABAAB AAABA ABAAB BABBB ABBAB BBABB AABBA BAAAA BBABB AAAAA BBBAB ABABA BBBBB ABBBA ABABB ABABB BBBBA BABBB AAABB BABAB BBBBB BABAA BBBAA BAAAA BBBBB AABBB AAABA ABBAA ABAAA AABBA ABBAB BBABB AABBA BAAAB ABBBA ABAAB BBBAB AABAA ABAAB ABBAB ABBBB BAAAB BAAAB ABAAA ABABB AAABA BBAAB ABAAA BABAB BAAAA AABAB AAAAA AABBB ABBAA BAABB AAABA BBBAA ABBAA AAAAB AAAAB ABBAB ABBBB BABAA AABBB BABBB BBBAA ABBBB BAAAA ABBBA AAAAA BABBA AAABA ABBAA BAABB BBAAB BBABA ABABB AABAA AABBB BAAAA BABAA AABBA ABBAA BBBBA ABAAA BABBB BBBAA AAABB BAAAB ABAAB AAABB AABAA ABAAA BBBAB ABBBB BBBBA BABBA ABABA AABBA BBAAA AABAA BBBAB BABAB ABBBA ABBAB BABBB BBBAB BAABB AABBA AABAB BABBA AABBB AAABB ABAAA AAABA BBABA ABABB ABBBB BABAB AABAA BBAAA BBAAA ABABA BAABA AAABB AAABB AABBA AABAB ABABB BABAA BABAB BABBB BABBB BAAAA ABABA BBBAB BAABA BBBAB BBBBA ABBAA AAABA BBAAB AAAAB BBBBA ABABB ABBBB AABBA AABBB ABBBB BBBAA AABBB ABBAB AAABA BBABB BABAA ABABA BBAAA ABAAA BBAAA ABBAB ABABB BAAAB ABAAA BBAAB BABAA BAABB BBBAB AABAB ABBBA BBAAB BAABA ABABA ABBAA BBBBA BBBBB BBBAB BABBB AABBB AAABA ABBAA AABAB BBBAB ABBBB BBBAB BABBA ABAAA BBAAA ABBBA BABBA BAABB ABBAB BBAAA AABBA BAABB AAABA BBBBB ABBBB BABBB AAAAB BAABB BAAAA BBBBA BAAAA BAAAA BABAA AABAA AAAAA AAABA BBBAA BBBAB ABBBA BBBBB AAAAA AAAAA BBBAB ABBAB AAABA BAAAB BABBB BBAAA BBABA AABAA ABAAB AABBB ABABB BBABA BBAAA BBABA AABAB ABAAA AABAB ABBBA ABBAB AAAAB AAAAA BABBA AABAA BBAAB AABBB BBBAA ABBAA BBABA BAABA BBBAA BABBB ABBAA ABAAB ABBBA BAABA BABBB BAAAA ABAAB BBAAA AAABB AABAA AAAAB AABBB AABAB BABBA AABAA AABBA AAAAA BAAAA BBBAB BBAAB ABBBB ABBAA AAAAB AABBA ABBAB ABBBA BAAAB ABBAB BAAAA ABBBB AABBB AAABB BBBBA BBBAA ABABB BBAAA AABAB BBBAA BBBAB ABABA AAAAA AABAB BAABB BABBA AABAB AABAA BBAAB BABAA ABBAA ABBAA AAABA ABBBB AABBB BABBA BBABB ABAAB ABABB BAABA AAABA BBABA BBBAA ABBBB BABBB AABBB BBABB BBAAA ABBBB BABBB BBBBA AABAA BAABA BABBB AABBA BABBB ABAAB AABAB BBABA AABBA BBBBA BBABB ABBAB ABBAA BAAAA ABBBB ABAAA AABBB ABAAB AABBB ABAAA ABABA BABBB BBAAA ABBAB BBBBB ABBAA AAAAB AABBB ABBBA BBAAA BABBA ABBAB BAAAA AAABB BAAAA BBBBA ABBBB BBAAB BBBAA BABAA AAAAB BBAAB ABBAA BABBB BAAAB AAAAB BBBAB AABAB ABABB BAABB BAAAB ABABB BBBAB ABBAB ABBBB BAABB AABAB ABAAA BAABA BBBAB ABBBB BBAAB ABAAB AAABB BBBAA BAABA BBAAB AAAAB AABBB AABAB ABBBA BAAAB ABABB BABAA BABBA AAAAB ABAAA BABBB AAABB BABAA ABAAB BBAAA BBABB BAABB AABAB AAABB BBAAA AAABA AAAAB ABBAB BABAA BAAAB BBAAB ABABA AAAAB ABABB AAABA BBAAA BBBAA BAAAB BBBBA BABBA BBBBA BABAA ABAAA AAABB BAAAB ABABB BABBB ABBBB BBBAA BBBBB BAABA BAABB BABAB BABBB AAAAA ABBAB BBBBB BBBBA AAAAA BABBA ABAAA ABBBA BABAB BABAA ABABB ABBAB BABBB BBAAB BAABA ABBAA BBAAB BBAAA ABAAA BAABB BBABA AABBB BAAAB BAABA ABBAA AABBA BBABB AAAAB AAABB BBABB ABBAA BBBBA ABBAB BBAAA AABAA BABBA ABBBA ABABA BBAAB BABAB BBAAB ABABA ABABB BBBAB BBBBA AABBA BBAAB AABAA BAABA BAAAA BAABA AAABB ABBAB AAABA BABAB BAAAA BBBAB AAABA BBAAB AABAB BABBB BBBBB ABAAB ABAAA BBBBB BABAB BAAAA BBBBA AABAB ABABA AABAB AAAAB ABBBA AABBA BAABB BABBB ABBBA ABBAA BABBA BBBAB BBBAB BBBAA BABAA BBAAA BABBA AAAAB AABAB AAABB BAABA BBAAA BAAAB ABBAB ABBBA AABAA BBBAB BABBB BBAAB BBBAA ABABB BABAB BBBAA BBBAB BBAAB BBAAA AAABA BBABA BAABA BBBBB BBBAA BBBAB ABAAB ABABB ABBBA ABAAA BAAAA BBBAB AABBB AABBA BBAAB AAABB ABABA BBAAB BBAAB BAAAA BBABA ABBBA ABBBB BBBAA AAABA BABAB ABBAA ABABB AABAA AAAAA BBAAB ABABA BAABB ABBBB ABABB BABBA BBBAA BAABB BBBBA BAAAB BBBBB BABAB ABBBA BABBA ABBAA BAAAA BAAAA BAAAB ABBBB ABBBA ABBAB BAABA AAAAA BBABB BABBA BAAAA AAAAB ABAAB BBABB BBABA AABBB BAABB BAAAB ABABB BAAAA BBBAA ABBAB AABAA ABBAB BABAB BBBBA BABBA BBAAA AABBA BBBAB BBABA AABAA BAAAA BABAA BAABA BAABB BBBAB BBAAB BBABB BABAA BAAAA BABBB BBAAA ABABB AABAA BBAAB BBABA ABBAA ABBBA AAABB AAAAB BBBAB BABBB AABAA BBABB AABBA BABAB AABBB ABBBA ABABB AAABA BBAAB BAAAB BBBAB BABAA BABAA ABABB ABABB BBBAB BBBBB ABBAB BBAAA ABBAB ABBBA ABBBB BABBA BABBA BAAAB BBBBA ABBBA BABBA ABBBB BAABA AAAAB BAABA AABAB AAABB ABBAB BBAAB AAAAA BBBAB AAAAA AAAAA BBAAB BBABB BABAB BAAAA BBBBA BBABB BBAAA BABAA AABAA BBABB BABBA AAABB AAAAB ABBBA ABAAA BBBBB ABABB ABBAA BBABA ABAAB BAAAB BABAB BABBB AAABB AABBA BBABA BAAAB AAAAA BBBBA AABAA ABABA AABAA AABAA AABAA BABBB BABAA AABBB ABBBA AABBA ABAAA BBAAA AABBB ABABB BBABB BBBBA BBABB ABBBA ABAAB ABBBA ABBBB BBBAA ABBAA ABAAB BBBAA ABABB ABAAA ABBBA BAABB BABBA BAABB BABAB AABAB BBAAB BBBAB BBAAA ABBAB AABAB ABBAB AAAAA AABAA AABAA BBAAA BBABB AABBA BBBAA BAAAB BBABB BABAA AABAB AAAAA ABBBB BABBA ABBBB AAABB BABBA BAABB BBABB BBBBA ABBBA BBAAB ABBAA AABAB BBABB ABBBA AABBA ABBAB BBBAB ABBBB ABABB BAABB AABAA AABAB BABBB BBBAB AAAAB AABAB ABABA BAABB AABAA BBAAB ABBAA AABAA BAAAB AAABA BBAAA BABAA ABBAA BAABA BABBA BAAAA BBBAA BBBAB BAAAB BAAAB ABBAA BBBAA BBABA AABBA AAAAB AABBB ABBAB BBAAA ABABB BBAAA ABABA BABBB BBAAB AABAB BABAB BBBBA AABAA BBABA AAABB ABBAA AABAB ABBAA BABBB BBAAA AAAAA ABAAA BBBAB ABBAB AAAAB ABBBA ABBAB BBAAB BABBB BBBAA AAABA BAABA BAABB BABAA BBBAB BAAAB ABAAA BAAAA BBBAB BABAA ABBAB BABBB AAAAB BBAAA BBBBB AABAB BBBBA BAAAB AABBB BBBBA ABBAA ABABA AAABA BBAAA BBABA BABBB ABAAA BAAAA BAABB ABBAB AABAB AABBA BABBB ABBAA BABAA BBBAB ABBAA AAAAB BBBAA BAABB AAAAB BAAAB AAAAB ABABB AABBB AAAAA BBABB AAABA AABBB ABAAB AABBB AAABB ABAAB BABBB BAABA AAAAB ABAAB BABBB AAAAA ABBBA AAABA AAAAA BABBB BBBBB BBAAB BAABB AAAAB ABBAA ABBBA AABAB BBABB BBBBA ABBAB BBBBB BBAAB AAABA AABAA BABBA BAAAB AAAAB ABABA ABBBA BBABB BBABB AABAA AABAA BABAA AABBA ABABA ABAAA BBBAA BBABB ABBAA ABBBB BBBAA BABBB BBAAA BAAAB BBBAB AABBA ABBAB ABBBB BAABA ABAAB BBBBA BBABA BABBB ABBBA BAAAA BBBAA BABAB BAABA ABBAB BBABB AAAAB ABAAA BAABA ABAAB AAABA BAAAB BABAB AABBA AABBB AAABA AAABB BBABB BBBAA AAABA ABAAA BBBAB BABAA BBBBB ABAAB BBBAA AABBA BBABB BBABA BABBB BABAB BABBB BABBB BBABA BBBBB BABAA AAAAA AABAB BBBBB ABABA AABAA ABABA AABAA BBAAA BABBB BAABA BBAAB BAAAB AABBA AABBB BAABA BBBBB ABABA ABABB BBBBB ABBBA ABABB AABAA BBBAB ABBBB AAAAB BBBAB BABAA BABAA BABAB AABBB BAABB BBABA ABBAA BBABB BAABA AABAB BBAAA AAAAA AAAAB ABAAB BABBB BBAAB AABBB BBABB BBBAB BABAA ABBBA BAABA BBBBA BABBA ABBBB AAABB AABAB BAAAB ABABB AAABB ABABB BBAAB AAABA AAABB AABAB AAAAA ABBAA AABBA BBBAB AABBA BBAAB AABAA BAAAB AAAAB BAABB BABAB BABBB BABBB BBBAA BBBAB ABBBB AABBA ABABB BAAAB ABBBA BBBAA BBBAB AAABB ABAAA AAABB AABBA ABABA BBABA BBABB BAABA BABAA BBBAA BAAAB BBABA ABAAB AAABB AAABA AAABA BABAB BAABA BABAA AABBA BBAAA BAAAA BBABB ABABA AAABB BABBB ABBAB ABBAB ABABA BBBAB BBBAA BBBAA ABAAA BBBAB ABBBA BAABA BAABA ABAAB ABBAA BABBA BABAB BABAA BAAAA BABAA ABBAA BABBB BAABB ABABA ABBBB BAABB BBABA ABBAA ABBAB BBAAB BABAA BBBBA BAAAA ABBAB AABBA BBBBB ABBAB ABAAB BAABA ABAAA BBBAB BABAA BBBBB BAABB ABBAB BAABA AABBB BBABA AAABA ABBAA BABBB BBBAB AAABA AABBB ABABA BABAA AAAAA ABBBA ABBAB BBBAA BBABB BBBBA ABBBA ABBBB BBBBB BABAB ABABA BBBBA AAABA ABBAA ABBBB AABBB BABAA AAABB AABAA BBAAB AABAA AAABA BABBA ABAAA BBABA BBABA BABBA BABBA ABAAA BBAAA BABBA ABAAA BBABA AAABA BBBAA BBBAA BBABB AAABB AAABA BBAAB BBAAB AABBB BABAA BAAAA BABBA AABBB BBBBA BAAAA ABBBA BABAB ABBAB AAAAA ABAAA ABBBB BAAAA BBBAB AAAAB ABABB AABBB ABBBA ABBAA ABABB BAAAA BBAAA BBABA BBBBA BABAB AABAB ABAAA BAAAB BBABB BBABB BBAAB BAAAB ABBBA AABBA ABABA ABABB ABBAB BAABB BBBAB BBBBB ABBBB AABAB BBAAA ABBBA AABBA BABBB AAABB AAABB ABBAA AABBB ABAAB BABBA AAABA BABAA ABABA ABABB BBAAB ABAAA BABBB BBBAA ABBAB BAABA BBBAB BBBBB BBBAB BBBAA BABBA BAAAB BABAB ABAAB AAAAB BAAAA AAAAB ABBBB BBBBB BBABA ABABB AABAA ABBAB AABAB ABBAA AAABB BAABB ABAAA BAABB BBBBB AAABB BBBAA ABBBA AAAAA AABBB BBBBA ABAAA ABAAA ABBAA ABABA BABBA BBAAB AABBB ABAAB BBABA ABBAB AABBA BBBBA AABBA BAABA BABBB ABBBB ABBAB AABBA BAABB AABBB AAAAA BAAAB AAAAB BBAAB BBBBA BAAAA ABBAB ABAAB AAAAA AAABA ABAAA ABBAA AABBB BBBAB BABBA BAABB AABBA AAABA BAABB BBBBA AAAAB BBABA BAAAA BBABA BBABA ABAAB BBBAB ABABB BABBB BAABA BBABB BABAB AAAAB ABBBA BBBBA ABBAA BBBBA ABAAB ABABA AABAB AABBA BAABB BAABA AAABA BBBBA ABAAB ABBBB AAABA ABBBA ABBBB BAABA BBBAA ABBBB ABAAB ABABA BABAA BAAAB BAAAA ABAAA ABBBB BBAAA BABBA BBBAB AAAAA AAABB BABBA ABBBA AABAB BBABA BABAB ABABB AAAAB AABAA BAAAB BBAAA ABABB AABBB BBAAA AAABA BABBA BABBA BAABB BBAAA AABBA AAABA BBBAB AAAAA ABAAB BBBAB ABAAA BBABB BABBB ABBAB BABAB BBABB BBBAA BAAAB ABBAB BBBAA BABBB BBABB BABBA BBAAB BABAA BABBB BBBAB BBABA BBAAA BBABA AAABA AABAB AAAAB AAAAA BABBA BBAAB ABAAB BBBBB AABBB BAAAA ABABB AAAAB BABBA ABBBB BABBB AAAAB BABAA AABAA BABAB ABBBA BBAAA BAAAB ABAAB BABAA BBABB BAAAB BBBBB ABABB BAAAA AABAA ABAAB AAABB ABABB ABBBB BBAAA BAAAA BBBAA BBAAA BAAAB AABBB BABBA ABABB AAABB BBABA BBBBA ABABA BBBBA BBBAB BAABA AAAAB BBAAB BAAAB BBAAA BBABA BAAAB BBBBA BBAAB ABBBA ABABA BBAAB ABBAB ABAAA AAAAB ABAAB BABBB BAAAA BBBBB BAABA AAABB ABAAA BABBB ABAAB BAABB BBBBA AAAAB ABAAA BAAAB BAABB BABAB BBBBB BABBB BABAB BABAB ABAAB ABBAB ABBBA ABBBA AABBA AABBB BBBAA BBAAB ABBAA BBAAA BABAA BABBB BABAA ABAAB ABABB ABAAA ABABA BAAAB BABAA ABAAB BBAAB ABBBB ABBAB ABABB BABBB BABAA BBABB ABBBB ABBBA BAABA AAABA BAAAB ABBBA BBAAB ABBAB BAABA BBABA AAAAB AABBA BBBAB BABAA ABABB BBBBB BABAA BBAAA BBBAA BBBBB ABBAB BABAB ABABA ABAAB BAAAA AABBA AAAAB ABABB BBAAA BABAB BBAAB BBABA BABBB BBABA BABBA BBABA ABBAB AABBB ABBAA AABBA AABBB BBABB BABAB BABBA ABBBA BBBBA ABABB AAABB ABABB BBBAA ABBBA BBBBA BBABB AAAAA AAAAB BBBAA AABBA AAABB BAAAB BABAB ABBBA AABBB AABBA BBBAB BAAAA BBABB BABAA BABBA BBAAA ABAAB BBAAA BAAAB AAAAA AAABB BBBAB AAABB BBBBA BBABA AABAB BAABB ABABA AABBB ABAAA AABBA ABABB BBABB AAABA BBBAB AAABA AAAAA BBABA AAABA BBBAB BBBAA AAAAA ABBBB AABBB BAABB BBABB BBAAB AAABA ABAAA BBAAB ABBBA BABBB BABBA ABBAB AAAAB AAABB BABBB AAAAA AABAB BBABB ABBAA BBAAA AABAA AAAAA BBABB ABBBA BABBB AABBA BABBB BABAB AAABB ABBBA BAAAB AAABA BBBAB AABBA ABBAA BBBAB BAABA BBAAA AABAB BBAAA AAAAB BBAAA AABAB BAAAA BAAAB BABAA ABAAA BABBA AABBB ABAAA BAAAB AABBA ABBAB AAABB AAAAA AABBA BBABA ABAAB AAABB ABAAB BBBBA AAABA BAABA AAAAB BAABB BBAAB BBABB BBBAA AABBB BABAB AABAB ABBAA BBABA ABBAA ABBAA AABBB ABBAA AAAAB BABBB ABAAA ABABB AABBB AABBB AAAAB ABBBA AAABA ABAAB AABAB ABBAB BBAAB AAAAA ABBAB BBAAA BBABA BBABA ABAAB BAABA BABBB AAABB BBABB BABBA ABBBA BBBBA AAABB AABBA AAABA AABAA BBABB ABAAB BBBAA AAABA BABBB AAAAA ABBBA ABAAB BBBBA BAAAB BABAB ABABB ABBAA AABBA AAAAB ABABB ABABB AAABB BBBBA AABAA BBABB ABBBA BBBBA AABAB ABBBB BABAB ABBBB BBABB BAAAA BABBB BAABB BAAAA ABABB AABAB BAABB BAABA BBAAA ABBAA ABABA ABAAB BABAA BBBAA ABABA BABBA ABABA BABBB BABBB AABAA AABAB BABBA BAABA BBABA BABBB BBABA BBBBA BAABA ABABB BBBBB AABAB BABAB BBBBB BABBB BBBAA ABABA BAAAB AAAAB ABABA BABAA ABABA ABAAA ABABA BABAB BBAAB AABAB AAABA ABAAA BBAAA BABAB BBAAB BAAAA AAAAB BAABA AABBA BABAB BABBA BBBAB AAABA BBBBA BBAAB ABABB AABAA BABAB AABBA BAABB BBBBA BBBAA ABBAB AABAA BBABA ABAAB ABBAB AAABB BABBA BBABA BBABA ABBBB BBAAA AAABA ABABA AABAB AABAB ABBBA AABBB ABABB BBBBB AABAA BABBB BABBB BABBB AABBB BBBAA ABBBA ABABB AABAB AABAB BBBBA ABBAB AAAAB ABAAB BBBBB BBAAA BBBBA BBAAA BABAB BBAAB BBBAA AABAB BBAAB AABBB BABAA BABBA BBBBB BAAAB AAABA ABAAB BABAB AAAAB AABAA BBBAA ABBAA AABBB BAABA BABBA ABBAB AAAAB ABABB AABBB BABBA AAAAA ABBAB AABBB ABAAB BABAA BBBAB BAABB AAAAB ABABA BBBAB BABAA AAABB BBBBA ABABB AABAA BBBBB ABABA BABAA BABBB BABBA AABAA BBABA BABBA AABAB AABAA AABBB ABBBA AABBB BAABB AABBB ABBAB BABAA BBABB AABBA BBABB BBAAA BBBAA AAABA BABBB BBBAB ABABA BABAB BAAAA BBBAB AAABA AABBB BBBBB ABBAA AABAB AABAA BAABA AABBA BBABB AAABA AAAAB BBABB AABBB AAAAB ABBAB BBAAB AABBB ABABB ABABA BBBAB AAABB ABBBB AAAAA BAABA BBBAB BAAAB BAABA BBAAA BAAAA BABBA BBAAB BAAAB BABBB ABBBB BABBA AAAAA BABAB AABAB BABAA BBBAB ABABB BBABA AABBB BBABA AAABA AAAAA BABAA ABAAA BAAAB BAAAA AABAB ABAAA ABBAA AAAAB BBBAA ABABA AAABA AAABA AAAAB BBABA BABAB BBABA ABABA AAAAB BAAAB BAAAB ABABA AABBB BABBA BBABB ABABB AABBA BBBBA ABBBB ABAAB BBABB BBAAA BABAB ABAAB BAAAA AABBB AABBA AABAB ABBAB ABAAB BBABB BAAAA ABAAA BABBB BBBBB AAABA ABBBA BBBAA BBBAB BBBBA ABBAA ABABB BAAAB ABABB BAAAB AABAA BAAAB AAAAB BBAAB ABBAB AABBB BBBBA BBABB BBBBB AABAB ABBAA BBBBA ABBBB BAABB ABBBB AABBB BBBBB BABAA ABBAB BBAAB AABAA AAABA BBAAA BBBBA ABAAB ABAAA BBABA ABABA ABABA BBBBB BAAAA ABBAB AABBB BBBAA BBABA AABBA BBABA BABBA AABBB ABBBA AAABB AABBB BBBBA BBABA AAABB BABBA BAAAB BBABA AAAAA ABAAA AAAAB BAABA BAABA BBAAB BBAAA BABBA BBBBA ABABA BBBAB ABBBB BABAB ABBBA BBBBA BAAAA BBBAA BBABA BAABA BBABB BAABB BBABB ABAAA ABBBA AABBA AAABB AABAA AAABB AABBA BAABA ABAAA AAAAA ABAAA BBABB BABBA ABABA ABBAB ABBBA BBAAB BBAAA ABAAA BAABA BAAAB AAAAA BABBA BBBBB ABAAB ABBAA AAAAB BAAAB BABAA BAAAA BBAAB ABAAB BABBB BABBB BABBB BABBA BBBAB AAAAB BABBA BABAB BAABB ABBAA ABABA BBABB AAABA ABABB BBBAB AAABA BAAAB BBABB BBBBA BBBBB BBBAA BABAB ABBBA BAABB AAABA BBBBB AABAA ABABA BBAAB BBABA AAAAB BABAA BABBB BABBA AAAAB BBAAA ABAAB ABAAB BABBA AAABA BAABA BABAB BAABB BBBBB AAABB AABBB BAABB BABBA BABAA AABAB AAABB BABBA ABBBB AAAAB ABAAA ABBAA BABAA BBBAB BBBAA ABABB BBBAB BBBAB AABAA BBAAA BBBBA BAABB AABAA AAAAB ABAAB BAABB ABABB BABBB BABBA ABBAA AABBA AAAAB BABBB BBBBB AAABB BBBBA BBBBA BBABA BBBAA AAAAA BBBAA BABAA ABBBB BAAAA BBBBA BAABB AAAAA BBAAB ABAAB AABAB ABBAA AAAAB AAAAB AABAA BBABB BBBAA AAABB BBAAA ABBBB BAAAA BBBAB BAAAA BAABA BBAAA BAAAB AABAA BABAB BBBAA AABAB ABBBA BBABB AABBA BAABB ABBBB BAABB AAABB BBAAA BBABB BBABB ABBBA AABAB AABAA BABBA BAAAA ABAAB AAABA ABBAB AAABA BBABB ABBBB BBAAA BBAAB BABBA AABAB ABBAB ABAAA BBBBA ABABB BAAAA BAABA BABAB ABABA AAABB AAAAA AAAAB BBBAA AABAB BAAAA BBBAB AABAA AABAB ABAAB BABAB BAABB ABAAB AAABB ABBBA BABBA ABABB BBBAA BABAB BBBBA BBBAB ABBAB AABBB AAAAA BABAA ABABA BBBAB ABBAB BAAAB AAAAB BABAB AABBA ABBBB BBABB ABABA BBAAB AAAAB AAABB ABAAB BAAAA ABBBB BABBA BBBBA ABAAA AAAAA BBAAA ABBAB AAAAA BBBBA AABBB BAABA BBBBA BBBAA ABBBA BBAAB BABAB BBBBA BBABA BABAA BAAAA BBABB BAAAB BAAAB BAABA BBAAA AABBA BBAAA BABBB BBBBB ABABA BBBAB BAAAA ABBAA AAAAA AABAB BABBB ABBBA ABBBA AABBB BAABB ABBAA BABAA BBBBA AABBA ABBBA ABBBB BABBA BABBA BBAAA BAAAA BABBB BBAAB BAABA AABAB AAABB BABBA AAABB ABBAA AAAAB AAAAA BBAAB AABBA BAABB AABAA BBBAB ABAAB AAABA BBABA BBBBA BBABB AABAA AABBA ABBBA AABAA BBAAA ABBBA BBABA AABAA BBAAA BAABA AABAA AABBA BAAAA BBBBB ABAAB BABBA BBBAB BABBA AABBB BAABA ABAAB BBABB ABABA AAABB BAABA AABAB ABABA ABBBB BAABB BABBB AABAB BBAAA BBBBA BBAAA BBBAB BBAAB ABABB BAAAA ABAAB BBBBB BAAAA BABAB AAABA AABAB BAABB BBABA AAABB ABBAA BBAAB BBBAB ABABB ABBAB ABABB AABBB BABAB AAAAA BABAA ABAAB BAAAA ABBAA BABBB AAABA ABAAA BBABA BBBAA BABBA ABABB ABABB ABBBA AABAB BAAAA BBABA BBAAA AAAAA BBBBA AABAA BBBBB AAAAA BABBB AABAA AABAA ABAAA AAABB AAAAB AABBA BAABA BAAAA ABBBB BBAAA AABAB BABBA ABAAB BBAAB ABBBA BAAAA ABAAB BAAAA AAABA BBABB BAAAB BBABA BABBA ABABA ABABA ABBAA BBBAA BAAAA BAABB AAAAA ABBBA ABABB AAAAA BAAAB BABBA BBABA AAAAB BAABB BAABB BAABA BABBB BBBAB BABAA BBAAA ABABA AABBB AABAA BBABB BABAB ABBBB AABBB BBBBB AAABB AAABB BABBA AABAA ABBAB ABABA BABBB AAAAB BBAAB BBABB ABABA AAAAA BBBAB BBAAA AABAA AAABB BAABB AABAB BABBB BBABB BAABB AAABA AABBB ABABB AABBA ABBBA AABBA BBBAA BBABA BBBBB ABABB AABBA BBABA BBABB BABBA AAAAA BAABB ABBBB BAAAB BBBBB AAAAA ABBAB BBAAA AABAB BAAAB BABAB BABAA BAABA AAAAB BBBBA ABABB ABBAA BBAAA BBABB ABAAB BABAA ABABB BBBAB ABABA BBAAB BABAA BABBB AAABA BBBBA AABBA AAAAA BBBBA BAABB AAAAA ABBAA BBBBA ABBBB BABAB AAAAB BBABB BABAB BABBB BAAAA BAABB AAABB BBBAB BAABA AAAAA BABAB ABAAB ABBBB BABBB BABAB BAABB BBABB AAABB BABAA BBBAA BBBBA BAABB BABAA BAAAB BAABB BBBBA ABAAA ABBAA BBBBB BBBAA ABBBB ABABB BAABA ABBBA BABAB BAABA ABBBA ABBAA BABBA BAABA ABBAB ABABB AAABA AAABB ABABA AAAAB BBBBB BABBB AABBA AAABB BAAAA ABAAA BAAAA BBBAB BBAAA BBBBA AAAAB ABBBA ABAAB BABAA AAABB AABAB ABAAA AABAB ABBAB ABBAB BBBAB BABBA BBBBB BABBA BBABB BBAAA AABAB BBAAB BBBAA AABAA BABBB ABBBB AABAB BABBB BBABA ABBAA BBBAA BBBBB ABAAB ABAAB BABBB ABBBA ABBBA BABBB ABBBB BAAAA ABAAB BABBA BBBAB ABBBB AABBB BAABA AABBA ABBBA ABAAA AABBA BAAAA BBBBA AAABA BABAB BBBBA ABABA AAAAB AAAAB ABAAA BBABB BABAA BBAAA BBABA AABAB ABABB BBBBB BABAA BBBBB BABBB BAAAB ABBBA AAABA BBBAA BAABB ABBAA BAABA BABBB ABAAB BAAAA AABBB BBBAB ABBBB BAABB BBAAB BBABA ABBAB AAABA BBAAB BABBB ABABA ABABA BABBA ABBAB ABAAA BBBAB BAABB BBBAB ABBAB AABBB BBBAA BBAAB AABBA AABBB BABAB ABAAA BBBBB AAABA AAAAA ABAAB BBAAA BAAAA AAAAB BABBA BBBBA BBABB AAABB ABABB BBBBA ABAAB ABAAA ABABA BABBA AAABA BBABA ABBBA ABAAB ABAAA BAAAB BBAAB AABBA ABBBA BBABA BABAB BABAA BBBBB AAABB BABBA AAABA AABBA BBABB ABABB BABAB ABABB BAAAB AAAAB ABBAB BBABB AAAAA BBBAA AABBB ABAAA BAABB AABAB BAABA ABBAA ABAAA AABAA AAABA BABAA BABBA ABBAA AAABA BBBBA AABAA BBBBB ABABB BAAAA BBBAB BBABB BABBA BBAAA ABBBB BAAAA BBABA BAAAB BBAAA BBABB ABBBB ABBBB ABBAB BBAAA AAAAB AAABA AABAA AAAAB BAABA BABBA BABAB BABAB BBABB AAABB AABBA AABBB BABBA AAABA AAAAB BABBA BBBAB BAAAB BBBBA BAABA ABBBA BABBB BBAAA BBABA BABAA BBABA AABAA BABAA ABBBB BABBA BABBB AAAAA ABBAB BBABA ABBAB BBBBB ABAAB BABAB ABBBA BBBAB ABBBA BBBBB BABAA ABBAB BBBAB BBBAA AABAA AAAAB AAAAB ABABB BABAB BBAAB BBAAB AABAB BABBB AABAB BABAA AABBB BBABB ABABB ABBBA BAABB BBBAB AABAB ABAAA BABBB AABAA BABAA BBAAA BBBAB BABBB ABBAA BBBAA BBABB AABBA BBABA AAABB BABAB BAAAB ABAAA BABBA ABBBA AAAAA BABAB BAAAA BBAAA BAABA AAAAA AABAA BABAB BAABB ABBBA ABAAA BBBAA BBABB ABBBB BABAA ABBBA BBBAB BABAA BAABA AABAA AABBB ABBAA ABBAA BBABA BAABB ABABB BABBB BAAAB BAABB ABBBA AAABB BBABB ABBAB BBBAB AAABB AAABB BAAAB AAABB ABABB AAABA BABBB BBABA BBABB ABBBB AAABA BAAAB BBABB ABAAA BAABA BBABB BABAA ABAAB ABAAA ABAAB BBBAB AAABA BBAAA ABABB BAAAB ABBAB ABBBA BBBAA BBBBA AAAAB BBBAB BBBBB ABBBA BBBBB AAABB AAABB ABBAB BAABB AAAAB BABAB AABBB ABBAB ABAAA ABBAB ABABA BABBB BBBAB AAABA ABAAB BAABA ABAAB BBBAA AABAA BABBB AAAAB ABABA BBAAA ABBAB ABABA BBABA AAAAA AAAAB BAABA BAAAB BBBAB BAABB ABAAB BABAB ABBBB AABAA BABAB AAABB AABBA BAABA ABBAA BAAAB AAABA ABAAB ABAAB ABBBB BBBAB BABBA ABABA BABAA AAABB AAAAA BABAA BBBAA ABABA BBABA BAAAA BBBBB ABABB BBABA AABAA BBBAB ABAAB ABBAA BABAA BBABA AAABA ABAAA BBAAA BABBA ABAAB ABBBB ABBBA ABBBA BAAAA AABBA BAABA BBBBA AAABB AABAA BBBBA AABBB BBAAB AABAA ABBAA ABABB AABBB AABBA ABBAB BBBAA ABABB ABBAB BABAB AABAA BAAAA ABAAA BAABA BBBBA BAABB ABAAB BBBBA BAAAA ABAAB BBAAA AAAAA BBABA BBBAB BBABB ABABA ABBBB BAABB AABAA AAABB BBABA BBBBB ABAAA ABBBA AAABA BBBAA ABBBA ABBBB BBBAB BABAB AAAAA AABBA BAABB AAAAB ABAAA BBBAA BAAAB AABAB AAABA BBABB ABBAB AABAB BAAAB BABBB BAAAA AAAAB AABBB AABAA ABABA BBAAA BAABB AABAB BBBAA ABABB BABBA BBBBA BBBBA ABAAA BABAA BBAAA BABBA BBBAA AABAA BBAAB BABAB BABBA BBBBB BAAAB BBAAA BBBBB BBABA BAAAB BABBA BABBB BBABA BBBBB BABBA BBBBB BBBBB AAABB ABBAA AABAA ABAAB ABBBB ABBBA BBBAB AAAAA AAABB AABAB BABAB BAABB BABAA ABBAA BAABA AAABA BBBAA ABBAA ABBBB BABAA ABABA AAABA AAABA ABBBB ABABB BABAB BAABB AAAAA AAAAA AAAAB AABAB AAAAB ABBAA BAABA BABAB AABAB BBBAA BABBA BBABB BBABA ABBAA AABAB AAABA BBAAB BBABB ABBAA BABBB BABAB BBAAA BBAAA ABBBA AABBA BAAAA AAAAA BBBBA BBBBB BABAA ABABA ABABA BBBAB ABAAA ABBAB BAAAA BBBAB BBBBB AABAA BBBAA BBABA ABBAA AAAAB ABAAB ABBAB BBAAA AAABB AAABA ABAAB ABBAB BBAAB BBABB BAABA BBBAB BAAAA ABABB AABAA BBAAB BBBBA AABAA AABAA ABBAA ABAAB AABBA ABAAB AABBA BBABA BABAB BABBB BBABA BABBA BABBA AAAAB AABBB ABBAB AABAB AAAAB ABAAA BBABA BAABA AABAB ABBBB ABBBB AABBB ABABB ABBBA ABBAB AABAA AABBB ABAAB BBABB AABBB ABBAA BBABA BAABA BAAAA BAAAA AAABA ABABA BAAAA BBAAA BAABB BBBAA AAABA BBAAA BBBAB BBABA BBBBB ABAAB ABBAB BAABB ABABB BAAAA BBBAA ABBBA BABAA BBBAA BBBBB BBAAB AABAB ABAAA AAABA BBBBA BABAB AAAAB BAAAB AABBA AAAAA ABABA BBABA BBBAB BABBA BABAA BBAAA AABBA BBABA ABBAB BBBBA BBBBA BAABA ABBBA ABBBB BBBAA BAAAA BBBBA BABBB BAAAA BBAAA AABBA ABAAB BAABB AABBA BABAA BBABA BBBBB BBABA ABABB AAABB AAABA ABBAB BABAA BAAAB ABAAB ABABB BABBA BBBBA ABABA BBBAA BBBBB AAAAA AAAAB ABAAA BAABA BBBBA BBAAA ABAAA BAABA AAAAB AABBB ABABB BAABB ABBAB ABAAA BABBB BAABA BBABA BAAAB BAAAB BBBBA BABBB ABAAA BABBB BBBBB ABBBA ABBAA BAAAA ABABB AABAB BBBAB ABAAA BBBBB AABBA BBBBA ABBAB AAABA AABAB ABBAA AABBA ABBBB BAAAB BBAAB AABBA AABBA BABBA BABAA BBABA BAAAB BABAB AABBB BBBAB ABABB ABBAB BABBB ABBAB ABAAA AABBA ABABB AAAAB BBBAA AABAA BBAAB BBBAB BBBBB BAABB ABAAB BBAAB BBBAA ABAAB BABBB ABBAA BABBB AABAA BABBA BABAB BBABB ABAAB ABABB AABBB BAAAA BABBB ABBBB BABAA BAABA BBAAA ABBBA BBAAA BABBA BAAAB BBBAB BABBA BBAAB ABAAA BAAAB AABAA ABABA ABAAB ABBBA ABAAA BAABA BBBBB BBAAB BBAAB BAAAA BAABB ABAAB BAABB BBBAB ABAAA BBBAA BBAAB BAAAB ABABB BAAAA AABAB AAABB ABBAA BBABB BBAAA ABBBB BAABB ABBAB BABBA AABAB BABAB AAAAA ABABA ABBAB ABABB BBAAB BBAAB BABBA BAAAA ABAAB ABBBA ABBBA AABAA AAABA BBABA AABAB AABAA BBBAA BABAA AAABA AABAB ABABB BBABA AAABB BBABB ABAAA BBBAA BAAAB ABBBB BBBAB BAAAA BBAAB BBBBA ABBBB BBAAB ABAAB BABBA BAABA BBAAB AAABA BABBB BABBA ABBAB BAAAA AABBA BAABB BABBA ABBAA ABAAA BBBAB BBAAB BABAB AABBB BBABB AAABA AABAB BAABA AAABB AAAAA ABBBB BABAA AAABB BBBBA BAABB ABAAA ABBAA BAABB ABAAB BABAB ABABB ABBAB BAAAA BAABB AAAAA ABBBB ABABA BABAA AAAAA BAAAA BAABB AABAA ABBBA BBAAA AABBB AAABA ABABB BBABB ABBAA BABBA ABAAB BABBA ABAAB AABAA BAABA BBBBB BABBB ABABA ABBAA AAAAA BAABA BBBAA BBABB BBBBB BABAB BBABB ABABB BBABA BBBAA ABABB ABABA BBBBA BBBBA ABBAA BBBAB AAABB ABABB AABAB AABAB BABBA AAAAB ABBAA AABAA ABAAA BBABB BABBA ABAAB ABABB ABBBB BABAB AAAAA AABBA BABAB ABBBB BAAAB ABBAA BBBAB BAABA AAABA BBAAB ABBAA ABABA AAABA AABBB AAABA ABAAA BAABB BBAAB ABABB ABBBA BAABA AABBA ABABB AAAAB BBAAA AAAAA ABBAB AAAAA AAAAA ABABB AABAA BBBAA BBBAB ABABA AAABB BABAB BABAA BAAAB ABAAA AABBA ABBAA BAAAB BBABA BBBBA ABBAA ABAAB BAABA BAABA BBBBA AABAB AAAAA ABBAA BBBBB AAABA AAABA ABABB BBBAA BBBBB BBABB BBABB BBBBB AABBA ABBBA BAAAA BAABA BBAAB ABAAA ABBBA AAABB BAABB BBBBA BABBB BAABB BAABB BAABA BABAB BBABA BABBB BBBBB BBBAB BBABB AAAAA BBBBB AAABA BBBBB BABBB BBBAA ABBAB BBABA BBAAB AABAA ABBBA ABBBB BAAAB BBBAA BABAA BABBB BAABA ABAAB ABBBB BAABB BAAAB ABABA ABABA BABAB BBAAB BABAA BAABB AABBA BAABA BAAAB ABAAB AABBB ABAAB BBAAA ABABA AABAA AAABA BBBBB ABBAB BABBA BBABA AAAAA AABAA BABAA BBAAB BBABA BAABB BBBAB BAABB AAABB AAAAB AAAAB AABAA AABAB AABBB BBABA BBBAB BBBAB ABABB BBAAB ABBBA ABBAB BBBAB BAABB AAAAB BBBBA AAABA BABAA BABAB BBBBA BBBBA ABBAB BAABA AABBB BABAA BBABB ABABA BAABB BABAB BABAA BBABA BBBAB ABBAB ABBAB BABBA AAAAA AAAAB BBBBB BBABB BAAAA AABAA BABBB BAAAA ABABB BBABA BAABA BBBAA BABAA ABABB BBBAA BAAAA AABAB BAABB BBAAB BBBAB ABBAA BBBAA ABBBA BBBAA AAABB BABBB AABBB BABBA BABBB BBAAA BABAB BBABA BABBB AABBB ABABA BBABA BAABB BAAAA AAABB ABBAA ABBBA ABBAA BABAA AAAAA AABAA ABBAB BBAAB BBBBB BBBBB BAAAA BAABA AAAAB ABAAA AAAAB BBAAA ABBBA BABBB AABBA BAABA AABAB ABAAB BABAB AABAB AAAAB BBAAB AABBA BAABA AAABB ABAAB ABBAB ABABA BABAA BABAA AABBB BBBBA BAAAA BBAAA BBABB BBAAA ABBBA AABBA AABAB BBBBA BAAAB AABBA BBAAA AABBB BABAB AAAAB ABBBA ABABA BABAB ABBBB BAABA AAAAB BBABA ABAAA BBAAB ABAAA AAABB BABBA ABBAB BBABB ABAAB BABBB BABAB BAABB AABAA BBBBA BAABB AABAB ABBBB BABAA ABBBB BAAAA AAAAA ABBAB AAAAB BABAB ABBAA AAAAB ABBBB BBBAB BBBBB BBABA AAAAB BBBAA BAABA AAABB ABBAB BBBAB AAABA BBBBB ABABA BABAB AABBA BAABB ABBBB AAABA ABABB ABBAA BBBAB AABAB ABBBA BBBAA BAABB BBBBB ABBAA ABABB BABBA AAAAB AABAA AABBA AABAB ABAAB BAAAB AAABA BBBBB AABBB BBBAA BBAAB BBBBB AABAA BBABA ABBAA BAAAB BBAAA ABBAA BABBA BBAAA BAAAA BBAAB BABBB BBBBA ABAAB BBAAB BBAAB AABAB BAAAA BABBB BABAB BABBA ABAAA BBBBB BBAAB BBBAB ABBAB AAAAA BAABA AAABB BAABB BAAAA ABBBA BAABB BBABB BABBA ABAAA BBAAB ABBAB AABBB AAAAB ABBAA BAABA BAABB AABAB BAAAB BBABB ABAAA ABABA ABBBB BAABB ABBAB BAABA BAABB AABBA AAAAB ABABB BBBBA BBBAB BABAB BABAB BAAAB ABBBA ABABA ABAAA BAAAB AABBB ABAAB BBAAA AAABA BABAB BBBAB BAAAA ABBBB BBABA AAAAB AABAA BAABA AAAAB BABBB ABABB ABBBB BAABB BBAAA ABBAB BABAA BBABB BAABA ABABB BBBBB BBABB BBAAB BBBBB ABAAB BAABB AAABA BBAAA AAABA BBABB AAABB BBBBA BBBBB ABABB ABBBB BBBAA BAAAA ABABA AABAA ABABA ABAAB AAAAB BAAAA ABBAB BBBBB AAAAA AABAB BABBB ABBBA ABABA AAABB BBABB BABAB ABABB AABAA BAABA AABAA AABBA ABAAB AABBA BAAAB BBBBA AABBB ABBBB BAABA BAABB BABAA BAABB BABBA BABBB ABABB AABAA BBABA BAAAA BBBBA BBBAB BBAAB AAAAA ABABA ABABA ABBBB BABAB AABAA AAABA AAABB BBABA ABBBA AAAAA BBAAB BAAAA ABBBB BBBBA ABABA ABBBB ABAAA BBBBB AAAAA BABBB AAABA BABAB BABAB BAAAA ABBBA BBBBA BBBBA AABAB BABAB BABAA BAABB AABAB BBBBB BBABA BAAAA AABBA ABAAA BBBBA BAABA BBBBA BBBAB BAAAB BABAA ABABA ABBAA AAABB BBBAB ABAAB BBBBA BAAAA ABBAA ABABA BAAAA BBAAB BBABB ABBBA BABAB AAAAA BABAA BABAA BBABB AABBB AABAB AABAB BBAAB ABABA ABBBA AABBA BBABA ABBAB BABAA BAAAB BAABA AABAA BBBBB BAAAA BBBBB BABBA ABBBB BABBA BABBB ABBAA AABBA ABAAA BAAAB ABBBA AAABB AABBB BBAAA BAABB AABAA AAAAB ABBAA AAABA BABAB ABBAA ABABB BBBBB BBBAA BABAB BBBBB BBBBA BAABB AABAA BBABB AAABA BAAAA BAAAB ABAAB AABBA BAABA AABAA BBABA ABBAA ABBAB ABBBA BBBBB ABBBA BBBBB AABBB BABBB BABAA AABBA AABAA AABBB ABBBB AAAAB ABBAA BBBAA BAAAB ABAAA ABAAB AAABB BBBAA ABBAB ABABB ABABA AAABB ABBAB ABBAB BBBAA ABBAA AAAAB AABBB BBBAB BBBBB AAABB AAAAA BAABB BBBBA BABAA BAAAB BABAB BABBB ABABA BABBA BABBB BBBAA AABAA ABABB BBBAB AABBB BBAAA AABAB BBAAB BABBB BBAAA BBBBB BBBAB BAABA AABBB BBABA AABBA ABBAB ABBBB BBAAB ABBAB BABAB BBAAA AAABA AABBB AABBB BBABB BBAAA BBBAA BBBBB BAABA ABAAA BBABA BBABB BABBB ABBBB AAABA AAABA ABBBB AABAB BBABB BABBB BAAAB BBAAB ABBAA BBABB ABABA BBABB AABAB BABBB AAAAB BABAA BBAAA BAAAB ABBBB ABBAA BAAAA BBAAB ABBBA AAAAB ABABA ABAAB AAAAA AAABB AAAAA BBABB BBBAB BBAAB BBBAA BAAAB BBABB BBBBA BAABB AABBB AABBA ABBBA ABAAB ABBAA ABBBB BAABA AAAAB AABAA BBABB BBAAB BABBB BBBAA BABAB BBBBB BBBBA ABABB AABBA AABBB ABABB BAAAB BABAB ABBAB AAABA AAAAA ABBBB BAAAB AAAAA AABAB ABBBB BBAAB BABBB ABBBB AABBA ABBAA BAABB AABAB AAABB BAABB BBBBB BBABA BBBAB ABBBB ABAAA BBBAA AABBA BAABA BAABB BBABB ABAAB ABBAA AABAA BAABA BABBB BAABA AAAAA ABABA BBBBB ABABA AABAA ABBBB BBABA BBBAA AABAB BBBBB BBAAB BABBB ABBBA BBABB AABBB BAABA ABBBB ABAAA ABBAA BBABB BBABA BBBAB ABAAB BABAA BBAAB AAABA AABBA BAAAB BAAAB BABBA ABABB BAAAB ABBAA BAABB BBAAA BAAAA AABAB ABBBB ABBAA ABBAA ABBBB AABAB BBABB BBAAB ABABA BABBA BBABA BAABB BBBAA BABAB AABAB AABAB ABABB ABABB AABBB BABBB AABAB BBBAB BABAB ABABA BBABA ABABB BAAAB ABBAB BBABB AAAAB BABAA BBBBB ABABB BABAB AABBA BABBA ABAAB AAAAA BBBBA BABAB ABBAB ABBAB AAAAB BABAA BBAAB AAAAB ABBBA ABBBB BBBBB BAAAB ABBBB AABBB BBBAB ABBAB BBAAA AABBA AABAA BBBAB BBBBA BABAB BBAAB AABAB BAAAB BABAB AAAAA BBAAA BBBBB AAABA AAAAA BAABB AAABB BBABA AABAA AAABA AABAA BABAB AABAB BABAB BABBB BBBBA BBABB ABABB BBABB BBBBA AABAB BAAAA BBABA ABBBA BBAAB BAABB BBABA ABBBA BBBBB AAAAA AABBA BBBBB ABBBA AAAAA AAAAA ABAAB BBAAB AAAAA AAABA BBBBA BABAA BABBA AABAA BAABA ABBAB AAABA BBBAA AAABB BBBBB BBAAB ABABB BBABA AAABB AAAAA ABBBA ABABA BABAA BBABB BABAB ABBBB AAAAA BABAA BBABB ABAAB ABAAB AAAAA AABAA ABBBA BBBBA BABBB BBBAB BAAAB ABBBA ABBAA ABBBB ABBAA AABBB ABBAB BABAA ABBBA AAAAB BBBBA BBBBA AABAA BBBAB BABAB ABBBB BBAAB BAABA BBABA BBBBA BABAA BBABB BBBBB BABBA ABAAA BBBBA BABAA AAABA ABBAA BABAB ABABB BAABA BBABB BBBBA BABAB AABAB ABBAA ABAAB ABABA BABBA BAAAA ABBAB BAAAB AABAB AAABA BBBAB AAAAA BBAAA ABBAB AABBA ABBBB AAAAB BAAAA ABBBB AAABB ABAAB BABBB AAAAA ABBBA BBBAA ABABB BAAAA BABBA ABABA BABBA BAAAB BBBAB AABAB BABBA BABBA AABBA BABBA AABAB AAABB BAAAA BABAB AABAA BBAAB AAAAB BABBB BBAAB BBABA ABABB BABBB ABBBB ABAAA BABBB BBBAB BAAAB BBAAB BBBAA AABBB BBABB BABBA BAABB BABAA BAABB BBBBA BABAA BAABB BBAAA AABAA BABAA BAAAB BBBAB BAABB AAAAB AAABB BBBAB BBAAA BAABA BAAAB BAABB BBBBA BAAAB BBABA AAAAB BABBB BBABB BBABB BAABA BBBBA BBABB BABBB AABBA AAABA AABAB BBBBA ABBAA BAABB AABBA AABBA ABBBB BBBAA ABBBA BBAAB BAABB ABABB ABBAA BBBAB AAABB BBABA ABBBB ABBBB BAABA AABBB BBAAA ABBAA BAABA BBBAA ABBAA BABBB BBABA ABBBB BBBBA BABBB BBABB BBBBA ABABB AABBB BABBB BBAAA ABBBB BBBAB BABAB AABAA BABAA AABAA ABBAB BABBA ABBBA AAAAB BAABB BBBBB AABBB AABAB ABBBB ABBBA AABBA BAABB AABAB BBAAA BBBAB AABBB BABAA ABAAB ABABA AAAAA BBBBB AAAAB BBAAB BAABA BAAAA AAABA AAABA BBAAB AAAAB ABAAA ABAAA AAAAB ABBAB BABAA BBABB BAABA BBBBB BAAAA AAAAB ABAAB ABABB ABABB AAABB ABAAA ABABB BBBBA AAAAA BBBBB ABAAA ABABA BBABB AAAAA AAAAA BBBBA BAABA BBAAA AAAAA BAAAA AABBA BABAB ABABB ABAAA BABAA BAABB AAAAB ABABA BAABB AABBA BBABA BAABA BABBB AAAAA AAAAB BBBAA BABBA ABBBB BBBBB BBBAB AABAA AABAB AABAA AAAAB BBABB ABBBB BABAA BAAAA ABBBB BBBBA AABAB ABAAB BAAAB AABAA BBBAA BBBAA ABABA BABBB BABBB ABABA AABBA BBBBB AABAB ABBAB ABABB AAABA AAAAB AAAAA BBABB BBAAA BBBAA BAAAB AAAAA AABBB BBAAA BABBA BABAB BBABA BBBBA BAABA BABBB AABAB ABAAB AABAB AAAAB ABBAB AABAB AABAA AABBA AAABA BBBAA BBABB ABBAA AABAB BABAB ABABA BBABA ABABB AABBB AAAAB ABABA ABABB AABBA BBAAA ABBAB BBBBB ABBBB AABBB BBABB BBBBA BABAA BAABB BABBB AAAAB BBBAB BBAAB ABABA BBBBB AAABB BBBAA AAABA AAABB AABAA ABAAB BBABB AAABA BBBAA AABBA AABAA ABBAA AAABB ABBBB AABBB ABABB BBBBA AAABB AAAAA AABBB AAAAA BBBBA ABAAB BBABB AAAAB BABAB AABBA BBAAB BBABB BAABA BBBAA AAABA AABBB AAABA BBBBA BBABA BABBA BAAAA BBBAB AABAB AABAA BBBAA BAAAB ABABB BABBA AABAB BAAAB BABAB AAAAA BBBAB AABBB ABAAA BAABA BAAAA BABAA AABBB BAAAA BBABA BBBBB BAAAB BBAAA BAABB BBBAA BABBB ABBAB ABBAB BBBBB ABBBA BABAA AABAA BAAAA BBBAB ABAAA BAABA BBAAB ABBBB AABAB BBAAB BABAA AAAAB ABBAA BAAAA BBAAB AABAB BBABB BBBBA ABBAA ABBBA ABAAA AAAAA ABABB BBBAA BBAAB BBBAB ABAAA BBBAA AAABB BBBAA AAAAB BBABA ABBAB BAAAB ABBBB BBBBB ABBAA BAABA BBAAB BABAB BAAAA ABBAA ABBBB BABAB AAAAA ABAAA BBBAA BBAAB BAABB BBBAB BABAB AABBA ABBBA ABABB ABABA BAABA ABBAB BBBAB ABABA AAABB AAABB BABAB BBBBA ABAAA AABAA AABAB ABABB AAABB BBBAA AAABB BBBAA BBABB BAABA ABBAA BAABB BABBB ABAAB ABBAA BBBAA BABBB BBABA ABAAB ABBBA ABBAB BBABB BBBAA ABAAA ABAAA BBABA BBABB AABBA AABAB BBBAA BBBBB ABBBB ABBBA BBABA AABAA BBBBB BABAB ABABB BBBAA BBABA BAAAB ABBAB BAABA AABAA ABBBA BBBAB AABBB ABBAB ABAAB AABBA BBAAB BBBAB ABBAA BAABB AAABB AABBB ABBAA BABBB AABBB ABAAB ABBBB BBAAB ABAAA BBAAB AAAAA ABBBA AABBA AABAB BABBB BBBAA ABBAA BBBAA BBBAA BABBB AAAAA BBBAB BBAAA BABAB ABABA BBABA BABBA AAABA AABBB BAAAB AABAA BBAAB BAAAA ABABA BBAAA ABBBB BABAA AABBB BAAAB BBABA BABAA AAAAB ABBBB BABBB BABAB ABBBB BABAB AABAB AAABA BBAAB BBBAA BAABB BABBA AAAAB AABBB BBAAB ABBBB AAAAA AAABA BABBA BAABB AAAAA AAAAA AABBA ABABA BABBB ABAAA AAABA BABBA AABAB AABAB BBAAB BABBA AABAB BBABA ABBAB BBAAA BAABA AAAAA AABBA BAAAA ABBBB BAABB AABAB ABABB AABAB AABAA BAAAA BABAA BABAA AABAB AAAAA BAAAB BAABA ABABB BABBB AAABA BABBA BBBBB AAAAA BBBAB AAAAB ABBBB BAABB BBABB BBAAA BABBA BAABA ABBBA BAAAB BABBA BBBAB ABABB BBBAA BAABB BBABA AABAA BAABB BABAB AABAA ABBBA AAAAA AABBB ABBBA ABABB BBABB BAABA BABBA AABBB BABAB BBAAB BABBA AABBB ABBAB BBBAA ABABB ABBBB BABAB AABAB ABBBB BBBAB BAAAA AAAAB BAAAA ABBBA AABAB BABBA AAABA BABBB AABAB BBABB BBAAA BBBAB AAABA ABABA ABABB BBBAA ABBAA ABAAB AAAAB AAABB BBABA BBABB AAABA ABABA AAAAA BBAAB BBABA BBABA ABBAB ABBBB BBABB ABBAB BBABB ABABB BAAAA BBAAA BBABA BABBB BBBAB BBABB ABBAA BABBB AABAB AABAA ABABA BBBAA AAABA BAAAB ABAAB BAABA BABAB BAAAB BBBAA ABABA BABAB BAAAB BBABA BBAAA AABAA ABABB AABBA AABBA ABAAB BAAAB AABAB BABBB AABBB AAAAB BBBAA ABABB BAAAA ABBAA AAAAA AABBB BABAB BBBAA BAAAA AAAAA ABBBA AABAA AAAAA BBAAB ABBAB BABBB BBAAA BAABA AABBB BBABA ABAAB BAABB ABABA BAAAB BABAB ABAAB ABBAA ABAAA ABAAB ABBAA BAABA AABAA AAAAA BBABB BAAAA ABABB AABAA ABABB AABBB ABAAB BBAAB BAABA BABAB ABABA ABAAA BBBBB BBABB BABAA ABAAB AABAB ABAAA BAAAB BAAAA AAABB BBAAA ABBBB ABBBA ABAAA AAABA BBABA ABBAB ABBAB BBABA BBBAA BBBAB BBBBB BABAA ABABA ABAAA BBBBB BBBAA ABAAA ABABA BAABB BBBAB BBABB ABABB BBBBA BBBAA BAAAB ABABB ABBAA BAAAB ABBBB BBABA BBABB BBABB BBABA BAAAB BAAAA BBBBA BAAAB ABAAB BABAA ABBBA BAAAB ABAAA AAAAA AAAAA BBABA BBBAB ABAAA BAAAB AABBA BBABB BBABB AAABA BAABA BAABA BBABB ABBAB ABABA AABBB AABAB ABBAA BBABB BBBBA AABBA AAAAB ABBBB ABBBA BBBBA AABAA BAABA BABBA ABABA ABBAB AAAAB BBAAA AABAB BABBA AABAB AAABB BBABB ABABA BBAAB ABABA ABAAA BBBBA ABAAB AABAA ABABB BBAAA ABAAA ABBBB ABBBB AAAAA BBAAA BABBB BBBBA AAAAB BABBA BBABB BAAAA BAABA BBBBA BBAAB AAAAB AAAAB AAABB ABAAB ABBAB BAABA BABBA AAAAB ABAAB BABAA AAAAA BBBBB BAABB ABBAB BAAAA BBABA BAABA ABBBA ABABA BAAAA BBBAB AABAB BBAAB BABAB ABBAA ABBBB BABAB ABABA ABABA ABAAA BBBAA ABBBA ABAAA AAAAB BABAB ABABA AABAB BAABB ABAAA BBBBB BBBAB AABBB AABBA AABAA ABBAA BABAB BABBA AABAB BBBBA ABABB BBBAA BABAA ABBBB BAABA BABAA ABBAA AAABA AAAAA BBBBA BBAAA BAABA ABBBB BBAAA AAABA AABAA ABAAA ABAAB ABBBA BABAB BAABA ABABB BBBBA ABBBB BBBBB AABBB ABBAA BABAB AAABB BBABA BBBBA BABAA ABBAB ABAAB AAABB AABBA BAABB ABBBA BABBB BABAA ABABA AAABB ABAAB BAAAA AAABB ABAAA AAAAA AABBB BAABA BBBAA BAAAB BBBAB BAAAA ABBAA ABAAB BABBB AABAA BBABB BBABA BBAAB BBAAB BBABB BABAA BBABA BAAAA ABAAA BABBA ABAAB BBABA ABABB BBAAB BBABB ABABB ABABB AABBA ABBAB AAABB AABBA AAABB BAAAB ABAAB ABBBB BAABA BAAAB ABAAA BBBAA BBABA AABBB BBAAB AAABB BBAAA BABBB ABBBB ABABB ABBBA BBBBA AABAB AABBB ABBBA BAABB AABBA BBABB BBBBB BABAB BABBA ABABA AAABB BAABA BABBB ABBAA BBBBB BABAB BAABB BBBBB BBABA AABBB BBABA ABAAB ABBBB AAABA BBABB BBAAA ABBBA ABBAB BABAA AAABA AAAAA AABAA AAABB AABAB BBBAA AAABB AAAAA ABABA BBBAA BAABB AAAAB BAABA BABAA BAAAB ABBBB ABAAB AABBB BBBBB ABABB BBBBA ABAAA ABBBB BBBBB AABBB BABBB BBABB BABBB BABAA AAAAA BBBAB AAABA BABAA ABBBB AABAA AABAB BAABB BABAB BAAAA AABBB BBBAB AAABB AAABA ABBAB BAAAA BBBBA BABBB AAAAB BABAA BABBA AAABA BBBAB ABBAB BAAAA AABAA BBABA AAAAB AAABB ABBAA BAABA ABBBB BBAAA BBABB AABAB BAAAB BBBBB BBBAB BBAAA ABBAB BBAAB ABBAA ABBAB BAABA BAAAA BAAAB BABBB ABABA BABAB AAAAA ABBAA ABBBA ABBBA AABAA ABBBB ABBAB AABAA BABBB ABABA AABAA BAABA ABAAA BBBAB BBAAB BAABB BAAAA BAABB AABBA BBBBA ABBAB BBBBA BAABB BABBB BBBAB BBAAB BBABB AAAAA AAABB BBABB AAABA BBAAB BAABA ABBAA ABAAB BBABA AABBB ABAAB ABBAB BBABB BBBAA BBBBB BBABB ABABB AABBB BABAA BBBAB BABAB AABBB BAABB BABBB ABAAA ABAAA AAAAB AABBA ABBBB BAABA BABAA ABABB ABABA AAABA BABAA BABAB BABAB ABBBB ABBAB AABBB AABBA BBABB ABBBA ABAAB ABBAA BBAAB BABAB AABBB BAAAA BBAAA AAAAA AABAA AAAAB BAAAA AAAAA BBABB ABBAA BBBAB ABAAA ABABA ABAAA ABABB BBABA BAAAA AABAB BBAAB BAABA BBAAA AABBB BBABA AABBA BBAAA BBAAB BBABA AABAA BBAAA BAAAA ABAAA BAABB BAABA BBBAB BABBA BABBA ABBBB AAAAA BABAA AABAB BAAAA BBBBB BBBAA ABBAB BABBA BBABA AAABB BAABA ABABA BBBBB BABAA BAAAA BBABA ABBBA ABAAB ABAAB BBBAB BBBBB BBBBB BBAAB BBBBB BBBAA BBBAB BAABB BBBBB BAABA BAABB AAABB BABAB AABBA BAABB BABAA BBABB ABABB BBABB ABAAA ABABA ABBAB AABAA BBBAB AABAB ABBBA BAAAB BBBAB BBBBA BABAB AAAAA AAAAB BBAAA BAABA AABBB BABBB BAAAA ABBAA AAAAA AAABB AAABA ABBBB AABBB BAABB BBBBB AABBA BBAAB ABAAB AABBB BBAAA BAABB AAABA BBABA ABAAA ABBAB BBBAB AAABA BBAAA AABAB BBBAB BBAAA AABAA AABAB ABAAB ABABA ABAAA BAAAB BAAAB AAAAB ABAAA AABBA AABBB BBABA BAAAA ABAAB BAAAB BBBBA BABBB AAAAB AABBA BBBBB AABAB BAABA ABBAA AAABA BBBBB BAAAB ABBBA ABAAB AABAA BBABB BAABB BAAAB BBBBA BAABA AAABB AABAA BABBA AABBB ABBAB ABAAB AABBB ABABA BABAB ABAAA AABBA BAABB ABBBB ABBBB ABBBA AABAA BBBBB BBBAB BBABA BBAAA AABAA ABBAB AAABB BAAAA ABAAB AABAA BBAAA ABBBA ABBBA AABAA BAABA BBABA AABBA BAAAB BBAAA BABBA ABABB BBBAA AABBA AAAAB BBAAA ABBAA BAABA BBBAA BAABB BAABA BBAAB AAABA ABBAA ABBBB AAAAB BBBAB BBBBA BABBA BABBA ABAAA ABBBB BBABB BAAAB BBBAA ABAAA ABAAA BBBBA AAABA AAAAB AAAAB BAABA AAABB AAAAA ABBAA BAABA AABBA BBBAB ABBAA ABABA BAAAA AABAA BBABA BBBBA ABBAB BBAAA ABBAA BBBBB AAABB BBAAB AAAAA BBBBA AABBA ABBBB BABAA AABBA BBBBB AAABA AAABA BAABB BAAAB BAAAA ABBBB BBABB BABAA ABBBA BABAB BBBBA AABAA ABAAB BAABA ABABB BABBB ABBAA BBBBB BABBA BABAA BAAAA BAAAA BBBBB AABBA BAAAB AABAA ABBAB AAAAA AABBB BABAA BBAAB ABBAB BBABA AABBA BBBBA BABAA BABAA BBBBB ABBAB BBBAA ABABB BABBA ABBBB BABAA BABAA AABAB AABBA BBAAA BBABA AAAAB ABABA BBAAA BBAAA ABAAB BBBBB AABBA BBABB BBAAA ABBAA AABAA BBBAA BABBB BBBAA BBBBA AAABA ABAAA ABABB BBAAB BABAB AAABA AABBB BBABA BAAAA ABAAB ABBAA BABAB BAABA BAAAA BABBA ABABA AAAAB BBAAA AABBA BBBBA ABAAB BABBA BAABA BBABA BABBB ABBBB BBBAB AABBA ABBAA BAABB AAABB BABAB BAAAA ABABB ABBBB BBBBB ABABA ABAAA BBBAA ABBAB ABBAB BBAAB ABBAA ABABA BBBBB BAABA BAAAB AABBA ABBBA AABAA AAAAB AABAB AAABA ABBBB BBBBB ABAAB BAABB BBAAB BABBA ABBAA BBBBA BBABA ABAAB BABAA BABBA ABBAB ABABB ABABB AAABA AABBB BBABB AAAAA BBBAA ABBBB ABBAA BBBAB BAABA ABBBA ABAAB BBAAB BABBB AAABB BBBAA ABBAB BABAB BABBA AAABB ABABA BBBAA AAAAA BABBB BABBB ABAAA AABAB BBABB ABBAA BBAAA BBBBB AABBA BAAAA ABABA ABBAB BAAAB ABBAA BAAAA AAAAB BBBAB ABABA BBABA AABBB BBBBB BBAAB AAAAB AABAB ABAAB AAABB BBAAA BBABA ABABB AABBB BBAAB AAAAB BBBAA BBBBB BBAAA AAAAA BAABB AAABB AAAAB AABAA ABAAB AAABB BAAAB BBAAA ABABB ABBBB ABBBB AABAB BAAAA ABABB ABBAB ABBBB BABAB AAABA AAABA ABAAA BAABB ABABA BBABB BBABB BAABA ABBBA BBBAB AABAB ABAAB BABAA BBAAA BBAAA AAABA AABAA BBBAB BABAB BAAAB BBBAB BBBAA BBABA BABBA ABBBA BBBAA AABBB BAAAA ABBAB BBABB BABAB AABBB BBBAB ABBAA BBBBB BBABA BBABA BAABA BBBBA ABAAB BBAAB BBBBA BBAAA ABBAB BABBA BABBA ABBAB BABAA AAABB BBAAB ABAAB BAAAA BBBBA AAAAA BAAAB AABBA AAAAB AABAB BBBAA AABAA BBAAA AAABA BAAAA BAAAA BBBBB ABAAB ABABA BBBAA AAABB BBBBA ABBBB AAAAB BAABA AABAB BBABA BAAAA BBBBB AAAAA AABBA AABAA BBBBA BBAAA ABABB AAAAB ABBAA AAABA ABBAB ABBBA BABBB ABABA BBABB BBAAB ABBAB ABBAA ABBBA AABAB ABABA BAABB BAABA BAAAB BBBAA AABBB AAABA BABAA ABBAA ABBBB BAABA ABABB ABAAB AAABA AAAAA ABAAB BBBAB ABBBB ABABB ABAAB BAAAB BABAB AABBB AABAA AAAAB ABBBA ABAAA BBBBA ABABA BBBBA AAABB BABAA AAABB BBABB AABAB BAABA ABBAA ABABA BBABB AABAA BAAAB ABABA BBABA BBBAB BBAAB AABBA AAABB BBBBA AABBA AAAAA BBBAB AAABA AAAAB AAABA BBABA AAABB BAABA BAABA AAABB BABAB ABAAA ABABA AABAB AABBA AAAAB BAAAA ABABB BBAAA AAABA ABABA BBAAB BABBA BBBAB BBABB AAABA BBBBA ABABA BBBBA AABBA AABAA BBBBB BABAB ABAAB ABABA BAABB BBBBA AAABB AABAA BAABB AAAAA BAAAA ABABA BABBB BAABB BABAA AAAAA AABBA BAABA BBBBB AABAA BBAAA AAABB AABAB BBBBB ABAAA ABBBA BAAAB BBBBB BBAAB BBBBA BBABA BAABB AABBA AAAAA BBABA BBAAA BBBAB AAAAB AABBB AABAB ABBBB AABBA BBAAA AABAA AAAAB AABBA AABAB BBBAB BAABB BAABB BBBAA BBBAA AABAA BABBA ABBBB BBBAB ABAAA ABBBB AAAAA ABAAB ABAAA BBABA BABAB BAABB BBABA BBABB AAABA ABAAA ABAAA ABBBB ABABA AAAAB BABAB BAABB ABBAB ABAAB BAAAA AAAAA AABBB BABBB ABBBA AAAAA BABBA ABBAB AAAAB ABBBB AAAAB BAABA ABBAB ABBBA AABAB AAAAB BBAAA ABBBB ABAAB BBBBB BABBB AABBB BABBA ABBAA ABABA BAAAA BAAAB BABAA BBBAA BABAA BBABB BABBB AAABB BBBAA BBBBA ABABB ABAAA ABBBB ABABA BBBAA AABBA ABBAB BBABB ABAAB BAABA BBABA BBABA BBBAA AABAB ABABB AABBB AABBA BAABB BBABB BBAAA BABAB AABBB BAABB ABBBB BBAAA ABABB AABAA ABABA BBBAA BAABA BABAA AABAA ABAAB BABBB AAAAB BBBBB AABAB BBAAA BAAAA ABBBA BBBBA BBABA AAABB ABABB BBBBB BABBB BABBB AABAA AAABA BAABB BBBBB BABAB AABBA ABABA ABABA BAABA ABAAA AABBB BABAB BAAAA AAABB BAAAA AAABA BBAAB AABAB BBABB BBBBB BABBA BBBBA AAABB ABABB BBBBB BABAB AAABA ABBAA BAABA BBABB BAABA AAAAA ABBAB BBAAA BBABB ABBAA AABAB ABBBB BBAAB BBAAA ABABA AABBB BBBBB BABBB BAAAB BBAAA BABAB BAAAA ABAAB AABBB ABBBA BABBB AABAA AABBB BABAB BBABB ABAAA ABAAA BABAB ABAAA BBBAA BABAB BABAA BBABA AABBB BABBA BABBB ABBBA AAABA ABBBB AAAAA ABBAA BBBBA BBAAA BABAA AABBB BBABA ABABB BAAAB AABBA BAABB BBBAB AABAB AAAAA BAAAB BBBBB AABAB ABBAA BBBAB BABAA ABAAA BBABA AAAAB BBABA ABBBA BBBBA BABBA BABAA BABAA BAABA ABAAA AABBB AAAAA BABBB AAAAB ABBAB BABBA AABBA BBBBB ABAAA BABAB BBBBB BBAAA BABBA ABAAB BAABA BBBBA BABAA ABBBA AAAAA BBBAB BBABB ABBAA ABBAA ABBAB BBABB BAABB BBBBB BAAAB BAABA AABAB AAABB AABAB BBBAB ABBBB AAAAB BBBAB BBBBA ABABB BABBB AAABA BABBA BAAAA BABBB AAABB AABBA AAABB AABBA AAAAB BAAAB AAAAB ABABB AABAA BBAAB BAABB BBBAB ABBAB BBABA AABAB ABBAA AAAAA BBAAB ABABB BABAA ABBBA AABAA ABBBB ABAAB BBABA BABBA AAAAB BABBB BABAB BAAAA AABAA ABAAB ABABA BAAAB BBBAB BBAAB AAABB ABBAB BBAAA BABBA BAABA AAAAB BBABB BBAAA AABAA BBBBB BABAA ABBBA ABBBA AABBA ABABA BBBBA BAAAB BAABA AABAB BBABB AAABB AAAAA BABAA BBAAA BAAAA AABAA BBAAA BABAA ABAAB ABBBA AABAB AAABB AABBB AAABB BBAAA BBBAA BBBAB ABBAB BBABA BAAAA AAAAA BAAAB BBBBB BBABB BBBAB BBAAB BBBAA BBBAB AABBB ABBBA BAABB BBBAA BAAAA BAABB ABAAB BAAAB ABAAA BBBBA BBAAB BBBAB BAAAA AABAA ABAAA AABBB BAABB BBABB AAABA BBABB ABAAB BABAA BAAAB BBBBB BABBA ABBBA AABAA AAABA BBBBB ABABA ABAAB BBBBA BABBA BAABA BBAAB AAABA ABABA BABAA BBABA BAAAB ABABA ABAAB BABAB BBBAA BBAAA BABBB BAAAB BAAAB BAAAA ABAAB BBAAA BBBBB AAABA AAABA BBBAA BAAAA ABBAB ABBAB BABAB BABAB BBBBA BABBB BAABB ABABB BBBBB BBBBA BBABA BBBBB BABBB AAAAB AAAAB AAAAA BBBAA ABABB BABAA ABBBA ABAAB BAAAA ABAAA AABBA ABBBB BABAB BAABB BBABA AABBA BABBB BABBA BBBBB BBAAA BABAA AAABA AABAA BBBBB ABAAB BBBBB BABBB BBABB BABBA BAAAB BBABA AAABA AAABA AAAAA BBABB ABABA ABBBA ABABB AAABB AAABA BABAA BBBBA BAAAB AABBA BABBA BABBB ABABA BBAAB BABBA ABABB BABBB BBBBB BBBBA AABBB BABBB ABBBA BABBB BBAAB BBBBB AAAAA ABABA BABAB BABAB ABBAB ABBBA AABBB BABAA BABBA ABBBA BBAAB AAABA ABAAA AABAB BABAB AAABA BBBBB BBBBA ABBAA BABAB ABBBA AABBA BABAB BABBB ABABB BBBAA AABBB BBABB BAABB BABAA AABAB BAABA BAAAB BBBBA AAAAB AAAAA AABAB ABBBA BBBBA BABBA ABABA BAAAB BAABA AAABB ABABA BAABB BBAAA BABAA AABAB AABBA AAAAB BAAAB AABAA ABAAB AAABA AAAAB BBABB ABBBB BABBB AABAA BAABB ABBBA BABBB BAABA BBBBA AABBB AAAAA ABBBB BBAAB BBBAB AABAA BAABA BAAAA AABBB ABBBA ABABA AAABA BABAB BBAAA BAABA AAAAB AAABB ABABB ABBBA BABAB BAAAB BABBA BBBAA AABAA ABBAB BABAA ABBBA BAABA BAAAB BBAAB ABBBA ABBAB BBBBA ABBAA AAABA AABBB BABBB BBBAA BBABB BABBA ABBAB AABBB ABABB ABBAA AABBA AABAA AABAA AABBB ABAAA BBABA BAAAB BBBBA BABBA AABBB ABABA BABAB AABBB BABAA BBAAA BBBAA ABBBB BAAAB ABABA ABBAA BBBBB BBAAA ABBAA ABABB AABAA AAABB BBABB AAAAA ABBAA BBABB BAAAA AAABA AAABB AABAA BBABB BBBBB ABBAA BABBA BBBAB ABBBA AABAA BBBBB AAABA BBBAA BBAAA BBBBA BBAAA AAAAA BBAAA BBBBA ABABA BBABA BBABA AABBB BBBAB ABBAA BBAAB BBABB BABAA BAABB ABAAB BBBBA AABBA ABAAB BBABA BAAAB ABAAA BABBB ABBBA BBABB AABAB BABBA BAAAB ABABB AAABB BBAAA ABBBA ABAAB BBAAA ABABA BBBBA BAABA AAAAA ABBAB BBBAB BABBA AAAAB BBBAA BBAAB ABAAA AAABB AAABB ABBAA BBAAA AABAB BBBAA BAABA AABBA BABBB AABBB ABAAB ABAAB BBBAA BBBBB BBBAB AABBA AABAA ABAAA ABBBA BAABB BBAAB BAAAA ABABA BBABB AAABB BABAA AAAAB BAAAB BABBB BBAAA AAAAA BBAAB AAAAB ABAAA ABBAA BAABB AABAB ABBAB BABBB BBABA BBBAA BBBBA BAAAB ABAAA BAAAA BBBAA ABAAA BABBB BBBBA BBABB BBAAB AABAA ABABB BBBAB AAABB BBBBB BBBBB BABBA BAABA BBABA AABBB AABAB BABBA BABAB ABABA BABBA AAABB ABABA BABAB BBABA BAAAA BABBB BABAB ABAAA AABAB ABABA AAAAA BAAAB AABAB AABAB AAABA BBAAB AABBA AABBB BBBAB BBABB BBAAB ABBBA AABBA BBAAA BABBB BBABA AABBA BAAAA BBAAB BABBA BBAAB ABABA BAAAB ABAAB BABAB BABBB BAABB BABAB ABABA ABBBA BBBAB BBBAB BAABB AABBA BBABA AAABA BAAAB AAAAB AAABB BAAAA BBBBB AABAA AABBB AABAA ABBAA AABBA AAABB BAAAB AABAA BBAAA AAABA ABBBA ABAAB AABBA BBBBB AABBB BBABB AABBA BBBBB BAABB BABBB BABBA BAAAB BBABB ABBBA BBBBA ABABA AABBB BABAA BABAA ABBAA BBBBB BBAAA BABBB BBABB ABBBA AAAAB BAABA BAAAA AABAA ABBAB BABAA BBBBB AABAB AABBB BBAAB AAAAB ABBBA ABABB BAABA BABBB AAAAA ABABA ABAAB BAABA AAAAA AAAAA AAABA BAAAA BAABA AABBB AAAAA ABABA ABBAA ABBBB AABBA AAAAB ABAAB ABBAA BBBAA BBBBB ABBAB BBBAB AAABA BBBBB AABBB AABAA AABBA ABBBB ABAAA BABBB BAAAB AABAA BAABA BBABB BBBBB BBBBB BBAAB BBBBA ABAAA BAABB AABBA ABBAA AABBA BABBA ABBBA ABABA BBAAB ABAAA BABBB BAAAA BABBA BBABA BABAB AAABB BBBBA BABAB ABAAA AABAA BABBA BAAAB BBAAB ABBAB ABBAB BABBB BAABA ABABB BBBAA BBAAB BBABB ABBAB AAAAA ABBAA BABAB BBBBB ABABA AAABB AAABA BBBBA ABBAB BBBBB AAAAB BABAB BBBBA BBBBB BABBB AAABA AAABA ABBBA BBAAA BABBA ABBBB ABBBB BAABA BBAAA ABBAB AABBB BAABA AAABB AAABB BBABA AABBA BBBAB BAABA ABABB BAAAB BBAAB BABBA ABBAA ABAAA AABAA BABAA ABAAB AABAA BAABA AAABB BAAAA ABABA AABAB AAABB AAAAB BBAAB BBABB ABAAA AAABA AAAAB AAABB ABBAB BBBAA BBBBB AABAA BBBBA ABBAA BABBA AAAAA ABBBB AABAA AAAAB BABBB ABBAA BAAAA AABBB AAAAA AAAAA BBABA BBAAA AAAAA ABBBB BBBAB ABBBB BAABB BBBAB BABAA BBBBA AABBA AAABB BABBA AABBA ABBAB AAABA ABAAA ABBBB ABBAB AAAAB ABABA BBBBA BABAA BAABA AABBA ABABB ABABA BBBAB BBABA BBABB BBABA BBAAB ABAAA ABBAA BAAAA AAAAB BBABA BBAAB BBBBB BBBAB BBBAB ABBBB AAABA ABAAB ABBBA BBABB AAAAA AAAAA BBBAB BAAAA BAABB AAAAA AAABA BBAAB BAABB BBBBA BBAAB AABBB BABAA AAAAB BAAAA AAABB BABBA BBBAA BABAB AABBA ABBBB BAABA BBBAB BABAB BBBBA ABABA BABAA BABBA AABAB BBAAB AABAA BABAB AABBB AABAB BAABB ABAAB ABABA AAABA BBABB BBBAB ABABB AAABB BBAAA BAAAB BBAAB BAAAA BABBB ABAAB BABAB AABBA AAABA BABBB ABBAA BAAAB BABAA AAAAB AABAB AABBA AAAAB BBBBA AABAA ABBAB BBBBB ABBBA AABAB ABAAB AABBA BBBBA ABAAB ABAAA ABBBA AAABA BAABA AABBA ABAAB AABBA ABAAA AABAA BBBBA ABBAA ABAAB BAABA ABAAB BABAB BBBBB BABBB BAABA BBBBB BAAAA BBABA BBABA ABBAA ABBAA AABBB BAABB BAABB AABAB BAABB BBBAB BBBAA AABAB ABBBB AABBB ABBBA AAABA AABBA AAAAA BBABB BBBBA BAABA BBBAB AAAAA BAABA BBAAB ABAAA BAAAB BAAAA BBABA BBBAA ABBBB BBBAB BAABB ABABB AAABA BABBA AABBB AABBB ABAAB BABBB BABBA ABAAB BBBAA BAABA BAABA BABBB BAAAB AAABB BAAAB BABBB BAABB AAAAA BBAAA AABAB BBABA AAABB BBBAB BBBAB AABBA ABBBA ABAAA ABABB ABBBB ABABB BAAAB ABBAA BBAAA ABBBB ABBAB BABBB ABAAB BBBBA AAAAB ABBBB BBBAB BBABA BABAA BBAAA BBBAA AABBB AABBB ABBAA BABAB BAABA AABAB BBAAA BABAA BBAAB BBBAB BBAAA ABBBA ABBAB BAAAA BBBBA ABBBB BBBBB ABBAA AABAA BBABB BBBAB BAABA BBBBB BAABB BBABA BBBAA BBAAA AABAA BBAAA ABBAA ABBBA ABBBA AAAAA ABABB ABAAB BBABB ABAAB BBAAB ABABB ABABA BABBA AAABB AABAB BABBB AABAB ABBBB BABBB ABABA BBBAB BBBAA BBAAB BBABA BAABB BABAB ABABA AAABA BAABB ABAAB ABABB BBBAA BABBB ABABA AABBB ABAAA AAAAA BBBBB AABBB ABABA ABBAB BBAAA AAABB BBAAB ABBBB BABBA ABAAA BAABA ABABA BBBBB BBBBB ABBBA BBBBA AABBB AAAAA AABBA AABAB AABAA BAAAB BBABA BAAAA AAABA BBBBB BBAAA ABBAA BBAAB AABAA BAABA BBBBB AABBB BAABB ABBBB AABBA BBABB BABAA AAABB AAAAA BABAB BBBAA ABABB BAABA BBABA AABAB AABBB ABBBA BABAB BBAAA BBABA AABAA BABAA AAAAB BBAAA AABAB ABBAA ABABB AABAB AABAB ABBBB AAABB AAAAA ABAAB BBBAA BAAAB ABBBB ABAAB BAABA ABBAB ABBAA BBBBA AAABA ABBBA ABBAA BAABB BBBBB AAAAA ABBAA AAABA ABABB BAABA AAAAB ABBAA BAABB ABBAB AAABA BABAA BAAAA ABAAA BAAAB ABBBA BAAAA ABABB ABAAA BBBBB AAABA BBBAB BABBA ABAAA ABBAB BABBA BAABA AABAA BABBB BBBAA BAAAB ABBAB BAAAB ABBBB AAABA BAABA ABAAA ABABB AAABB BBBBB ABABB AABAA ABBAA ABBAB BBBBA ABBAA BAABB ABBAA ABBBA BABBA AABAA AABBA ABBAB ABAAB ABAAA ABAAA ABAAA BBBAA BBBBB BBBAB BABAB BAABB BAABA AAAAB BBBBB AABBA ABABB BBBAA BBABB BBBBB BBBBA BAAAB AABAA BBABA ABBAB BABAA BABBB BBABB BBAAB AABAA AAABB AABBA BAAAA BBBAB BBABA BBBAA ABBBA BBBBA BAAAA BAAAA ABABB AABAA ABABB BAABA BBBBA BBBAA BBBBA BBABA ABABB BAAAA ABAAB AABBA BBAAB AAAAB BABBA BBABB BBAAA ABABA BABAA BBAAA BBBBB BBBBB BAAAA BABBB AABBB BAAAB AABBA AAAAA AABAB AABAB ABBBA AAABB ABAAB ABAAB BABBB BABBB BAABB ABABB BBABA BABBB BABBB BBBBB AABBB BBBAA ABBBB ABBBA BBBBB BBABB BBABB AAABA BABAA AAAAB AABAB BBBAA BAAAB BBBBB BABAB BABBA AABAB BAAAA ABBAB AAABA AAABA BBAAA BABAB BBABB ABBAA ABABB ABBBA AAAAA ABABA ABABA BAAAB ABAAA ABABB ABAAB AAAAA BAAAB AAAAB BBBAA BBABA ABBAA BABBB ABABA BAABB ABABB AAABA AAABA BAAAA BAAAB BBBAB BABBB BABBB AABAB BABAA ABABA BAAAB ABBAB AABBA BBBBB BAAAA AAAAA ABABB ABBBA BBAAB ABBAB BBBBA BBAAB ABBBB BABAB BBBBA BBBAA BAABA BBBBB AAABB AABAA BABAB BBBAB ABAAB ABBAB BAAAB BAABA ABBBB ABAAB AABBB BBAAA AAABA BAABA BAABA BAABA ABABA BABAA ABBAB ABABB BBBBB BAABA BBBAA AAABA ABAAB ABABB 5 12000 2   AA A     @    A  A A   @    @ A  @  A @      @  @  @A @    A A @ @A       AA   @ A@   A @ A  AA     @  A       AA     @        A   @    @ A  A A AAA @  @    @    A @  A AA@  @ @@  AA    AA   @ A  @        A     @  A A     A    @@ A @    @  A   A  AAA A @    @  @  AAA  @       A     A @      AA  @     @  A A  A     AA            @    @ @    A A@   A A   @      @   A       A A    A A @ A        A  @   A A   A    AA   A  @ @     @A  @@@@  A A     @ @  @  A  @  @ A   @     A   @    @            @ A  @ @     A A  @  A A@      @@ A @  @  @         AAA     @    A    A@         A A A   A      @       @      @  A   A  A     @         A  @ @    @ @ @    @    A A  @A @ A  A @ A   A  @  @   @ @AA A     @    @    A        @ A A A    A      A @ @  @ @ A  A @ A  AA      @ A @@ A  A@ A         A @  A    @       @ A  @ A       @    AA      A        A A  @ A A  A       @      A  A@     A @         @  @  @  @  @ A      @     @    @   A  @   @    A @@  @  A    @@  @ A A @AA  A  @  AA @         @    @ @  @  @    A       A A @ @@  @         @    A@ @ @   @  @ A A @  A A  A  A @        A @@    @ @ A   @      A @ @ @ A   A   A @ @ @ @  A   A   A  A  @     A     A        A         @      A   A  @ @         AA       A A @  A @A    @ @ @  @      A       @   @  @  A  A  @ A @      @ @ A @  @  A@ A@ @  @     @  A      @ @ @@  @  @   @ A@     A   A  A A    @A@A A     A    A @  @    @  A  A   AA  @      AA   @  @  A A A        A A   @ @ A@ A  A      A       A     A       A A     @AA    A@  AA     @A A@ A  AA A @       A   A A@ @  @  @ @        A @  A  @@  @ A  A A       @  @ @ @  AA  AA@      A A    A@   @       @  A     A  @     @ @ A  A    A   @ @  @ @    @  A    A A@ A     A @ A      A  @     @ @ A    A A @ AA A @A @  A   @     @@         A  A    @     @@    A  A   @  @    A   @   @A     @    A   @       @   A    A    @  A  A      @    A@A  @    @  A   @A  A  A   @ @ @ @A  @   A   A      @ A  A           @  A         @ A @  @          @@ A    @ @    @  @@   A   A@  A@ @   A @   @ @ A  A   A  @    @ AA    A A@A   @  A  @     AA @@  @@ @  A @AA@ @   @   A   @ @   @ AA A     A  A        @    @  A    @  @ A @        @  AA A    @ @      @A A @ @  A A   @ @           A   @   @   @ A  @   A    @ AA@    A@ @    A @   A A          A@  @   A   A A    @ A  @   A      A  A    @   A @@ @@       A A    A  @       A AA   A     @        @  @      A  A A @A  @   @    A   @    @ @   A A AAA   @ @   @A    A  A    A  @ AA     A A   @  @    A@   A@   @   A  @ @  AA @  @    @   @       @  @ A  A      @  @ A  @            A A @      A        @A   @ A  AA @A      A @@  A         A    @  AA @A  @     @     @@     A A @@     @  @  @  AAA  @ @       A     A @      @ @ A  @  @ @      @@  AA  AA         @  A A   A@ @ @@  A     A @@  @  @A @@     @A   A          @  @  @A      @  @   A AAA A @  @  @  AA  @     A    @ @@ @   @A @@ @ @     @        A   @  A   A AA     @  @   A     @ A  @A     A  @ A@  AA@ @        A      A A     @ A  @   A   A  A@ @       @  A A  @  @   A   @    @    A A     A@  @ AA     A   @ @   A A  @ A   @@   A     @ @@  @ @ @          @  A       A        @  @      @@ A  @ @  @ @       A @AAAA     @  A @     @    @A   A  A   A A      A      A@    @        A  A@  A  @  A @@ A@ @    A      AA A  @       A @     A A  A   A AA    A A A   @ @   A    @ @  @ A A @@ @ A     A  @    A  @  @ @ A  A A  A    @       @    @        @  A     A @  AAA A @  A@ @ A A     @ A@    A   A @A  @ A @A @@ @ AA  A     A         A A  @ @  @ @        A @           @ A @A A A A  @@   @    A    A   @ @@A       @        A A          A A A   A  A @@  @  @@A @  @  A    A @  @  @ A     A       @  A  AA A  @ AA     A A    A  A  A     A@     A@       @  @ A  A        A @ A     A     @ @    @  A  @ @    @ A @    @ A   A    A     A      A AA A  @A     @       A A @  @@ A AA@ AA AA   @  @  @  @@ @  @ @    A        A@     @   A @   A  A @   @  @     @ AA       @      @ A @ @           @ @A  A  A  @ A AA   A  A  A @   @ @ @ A  A    @  A       @ @ @  A @    A          @ @@ @ @   @    @ @ A  @   A  A  @ A        A   @@  @    @  A@   @A A    @    A    A @ A         @  A    @ A  @@ A@ @  A  A    A    A     @      A AA    @  A  A  @  @  @    @ A @  A @      A        A  AA        A      A A   @       A   @ @ @  A @  A A     A  A        A A@    @ A @     A        @   @@ A A A  A A @  AAA @@    A  A @    @  @  @      A A  @   A         A      A @ A   A  A        A    @  A  @ AA    A @ @   @ A    A  @ A  @    @ A      A @       @   @      @     @       A  @ AA  @ A@@  @  @ A    A       A    A   @            @ A   @  @      A     @@ @   AA  A    @  A     A        @       @ AA @    @A   A     @  @  @ @ @A  A  A    A     A    A @ A  A  A  A    @A A  A  A    A            A A   @   A  @    @A A @  A @  @ A  A@  A A@  @   A  @A      A A    @   A   A A         @ @@  A @     A  A   @      A  @@       @  A A @  @ A  @   A    A   A   @ @@   A @A  @A  @ A   @  @ A  A A A        @   A @ @A  A  A  @  A           A     @A    @A A  A  A     A      @@  @        @       A       @  A@ A     A  A  A @    A   A               @AA   A     A @A @   @A A @ A     @   A  A  A  AA      @    A@     @  @ @ A     @  A  A @  A @       A  @   @    @ @ @   A @      @      A @ A A  A A  A   A AA       A A  A @ A          @  A @    A A      A    A  @ @  @     @      A   @ A A         A   @A @ @ @   @A @  @ A@  A        @A          A    @    A A A             @      A @ AA@  AA   A  @        @     A       @    @   A    A   A A      @  @ @ @     AA    A  A   A   A   @  A    @ @   @   A    @      A AA   A@ A A@A  @ @    @  A @ A A  A      @   A   @A   @  @ A  A  A A     A @ @@  A @  @  A    @ @ @ @ A    @   A AA    A@@     A            A @ A  @   A    @  @@   @A  A  @ @A A  A    @ A   A@  A A   A@  A   A  A@ @ @ @                     A  A  @  AA   @A  @@   AAA @ A @     A A   A    A  @     AA @     A    @     A A           A A @@     @       @        @   A   A A    @  A   A @     @ @      A@ A A  A     @  A AA       @ A  A  @  @  A   A  @     @ @@ A A@ A      A   A   @   @A @   A A @       @   A@ AA    A @   @ @      @   @    @  @A A    A      AA        @ @   @ A    A @   A  @@  A  @ A  AA  @           A A  @ @   @  @ A @     @   @    @     @     @    A  @@ AA   @@  A@ AA    @ AA   @   @  @@  @   @ @ @  A A   A A    A  A A    A  A   A       @ A  AA @ A   @        @  A  @ A@ @  @@   @ A @  A   @  A  A   @   A  A  A   @   A  A  @  @  A        A @  AA     A@ A@A @    @ @  A   @A    A @   @   A @ A A @     A @ A AA   @ @                @        A A    A@ A  A  A  A    @  A  A      A @A @ A      @ @    @   A @  @  @ A @A   @ AA@  AA      A A A   @ AA     @  A   @      @  @ @ A   @     @ @ A A  A  A  A  @ @ @  A @   A    A   @  A @ A A A     A        @        A @@     @  A     @  A   A  A   @     @ @ A     @A A   @    A@ A             A       @ @    A  A   A   A  @ A @ @      A        @A A@  @ AA    A  @           A A A    @  A     A @  @   @  A  @ @ A@  @   A      @  A  @ @     A    @   @A  @ @         A        A  A  AA        AA     @  @ @ A          @ @ @  A        @ A @ @     @@ A        A @@ @ @A  @A   A A      @    A    A @   @@ A         A  A   A     A  @ A  A @    @A @ A A  @  A     A  A            @   @@   @ @ @ A    A A        A  @    A @    A @ AA @ @ @ @       @  @  @   @  A A   @  A   AA@  A     @ @ A  @  AA    @      @AAA   @       A @A      A     @ A  A   @ @ A A @       A A     A    @       @  A  A A   @  A  A @  @      A A     @ @    AA @    A   @ A             A   A  @     @ AA     @ @A  A @ @    A@     A  A @@ @    @ A  A A  @@ A A A    @  A A    A @   A        A  A     A  @ A@   @@  A @  @ @  A    @ @ A @ @ A    A   @      A @  @A  @A@   @ @    A  A  A A  A  @  @A @  A @ A   A  @    @      @  @ @@          @       @  A @    A @ @  @ A A     A     A      A A      A @   A       @@   A   A    A  A A @  @   @  @   @   A         A  A  @ @    @ @@   @      A @  @  A @  @   A    A @ AA    A A A  @ AA @  @ @  @  @ @@     AA   @        A A  A  @@   @          A@    @  @A      A     A  @ A    A @  @  @     A  @  @  @  A           @       A  A    A   A    A    @A   @      @    @  @  A            @      @   @    A@A    @ A  @           AA @ @ @     A A   A  A  @ A@       A @    @ @@ A A @  @ @  A A A       A       @ @A      @     @ @  @  A@A A   @   @ @  A A         A   A      @ A  A @@A  @  @ @  A   @ @    @   A A A  A    @ A    A A  A A          @ @@ @  A   A @     @         A  @  A A A A @ @             A @      A  @  A  @ @A  @@  @    A @     @  A A  A A @     @  @@ @  A    A@ A  @   @@A  @  @  @      @ @  A    @ A   @ @AA    A A    A  A   A    @@   @   A  A      @    @    A  @  A      AA     @  A  @   @  A@    @ @  A  A   @        @      A @    @   @A     A A A      A A @ @A    A        A @    A  A  @    A A  A        @      @ A A   @ AA     A    A  A @ @@   @  A A    @    @  @ A A  @  @  AA     @@A  A       @ @@ @  A A   @ A   @ A  @  A   A  @        AA      A  AA @    @ @@ @  A   A @ @  @ A  @@ A  @          A @@ @ @    @ A   @ @ A  @ A @  @ A  @  @  @           @ A @ A    @     @  @  A     A A A  A A A  A     @ @  A  A     A   @@A  @   @  @    @@    @ A  @ A           A  A  A   A @  A   @   A       @    @    A  A   @  AA @  A  A @ A A     @ A AA@ A A   A   A   A  A             @     @    @    @         @ A  @ A    @ A    @ @  @   @A  @AA A A       @     @  @    A  A   @ A  A   A AA AA A A@    A   @ A  A     A@A @   A       @ @A   A    @   A @ A  A  A @  @   @  @ A  A@ @A@   @ A  A   A  @  A  A A A      A    @A         @     @   A A   @ A @  @   @  A AA  @     A    A      AA  @ A @   @    A  AAA @     AA  @  @      @  A @ A    @ @  @  @     @ @ A A @    @ @  @ @A     @ A  AA       A   @        A   A A  A   A    @  A    AAA     A @A  A  A A     @ @   A      A @  @@ @  @  A AA  @ @    @  A @  @  @ A A@     A    A   @ A   @  @      A @  A         @ @  A   @    A  A @  A       A     @ AA A A   @  A A    @ A A          @ @   A@   @   A @    A  A     @   @    A @ @ AA     A          A  @@    @   @      A   A  A   A   @   A  @ A @    A  @ A   A @ @   @  A @   A     @ A  @  A   @  A @  A       @  @      A    @ A          A   @   @   A A@    A @ AA A  A    AA  A  A  @  A  A     @ A  @@ A A @      @  @    @ A @  @   A          @    A       @  @      A     A@  A    @  @ A @ A  A   A @          @  A A  @  @   A @     AA A A     A     @  @  @             A @A      A    @    A  A           @ A A@    A@ A A AA    @A   A @ @@ A     @   @   @    A  @ @ @ @     @     A @A @  AA   @A     A  @A @       @  @ A        A A A      @     AA A   A  A    @@ A    A @@@ @  @    @ A  @             A @    @ @ @  @  @@ @ @ @  @  A @A@ A  @  A     @  @    @    @ @   A   @ @@       @ @ @ A @  A      @ A@ A A      AA@       @  @ @ @ @ A  A    @   @  A      @ @  @ @ @  @   @  @ A A A A         @ A A@A     A   @   AA A@ @      A     A    A    @  AA       @ @A  A          @    @  @  A    A    @@A  A   A @ @  A @A @@@  @ A   A A A @ @    @       A   @ @  A   @    A  A @   @  A     A      A  A  A  A  A  A  @ @   A @  A@ A@  @ @@  @  A  @     A @  A  A @   A    @ A  @            A   A @        A  A   A  A A    A   @@ A  @@ A     A @   @        A A @     @ A    @   A  @@    @ @@ @         @      @A A       A  @A   @  A  A @    AA A  AAA    A    A A     A  A  @          A A  A  A     A   A@     A @ A     A  A  @A A A A A      @      A @A  @A A  @@ A  @      @ A@ @     A   A  A A @ @ @ @  @  A        A   A    @   A A  @   A      @ A @  @@ A A  @ A    A@ @A    @       A @ A @A     @  A   A@    @ @ @      AA       AAA    @ @  A@ A   A @   @ @ @   @      @ @@ A   A   A   A    @  @      A  A@ A  @  @  @  A   AA    @ @ A  AA@      @     A A @ A    A  A  @ A A   A A   A  A@   @ @    A AA  A @A  A    @       @@  A      A @ A  A  @  A      A    @  @    @   @@ A @ @  @      AA     A@A  A  @    @        @ A      A@ A A    @ @A A@  AAA  A@ @ @   @ @    A A     @ A @ A@  @A A@  @ @@      @A   A @    @ A  A @           A@A    @ A @    A  @    @  @  A @ A  @AA @  A   A A          A   A   A A @       A   A          A  A @ @ @ @       A A A    A  @   @  A  @    A    A       A   A  @  A   A @   A      A   A  A A       @     @ @  @ @@    A @  @ A   @  A @  A    @       A      A     A @      @      A  @ A   A@  @   A A @  A      @ @ @ A A @   @   @  A  @ A  A @     A  A    A @      @ A  @ @   @  A  @ @A @     A A   @          @  A  A  A  A @@   A     A  @     @ @A @ A  @      @ @ AA     A A A    A AA A    A     A  A   AA         A@A   @  @ @ A    @     @ @   A  A A  A  A  A A A     A A A  A    A A @  A @ @ @    A       @          @  @ @@ A A  @       A A  @  A @     A  A  AA    A@ A    A   A     @    A A          A@       @   @A A    @      @ @  A   @AA  @  A @  @ A A  A  A A   A@ A @    @ @ A    A A   A @  A  @ A A     AA           @ @  A A    @ @ A  @        @ A @    @ @@A   @         A @  AA      A     @     A A  @ @@  A @  A @ @         A A   @        A     A A@   @ A    A  @ @ A A    @  @      @  A    @    @ A          A    @    A A     @  @          @       @  A A@ A    @ @   @  A A A      A A  @  A  A@ @       @  @   A     A  @ @ A  A     @ @    @    A@  @ @      A @    @   AA  @  @  @ @ A@   AA      @  @  @ @   @  AA@A  @ @@  @A @ @   @A A@@  @ @A @     @     @              A  A   @   A@    A A  @    A @@        A A     A          @   A @    A  A   @    @ @@ A A    A @ A    A  @     A@ @   A    @ A      A A   @A @ A        A A      A  AA@   @   A   A @  @A     @ A     @   @ A    @ @      A  @     @ @  @  @   @ @A  A @    @ @  @A   @   @      @ A     A    @A  A A       @ @ @A@ A A A  A @ A      A   @  @   A A @    @  @  @    A A   @  @ @    @    A    @ @ A  @A @AA   A  @@   A    A  A@  @            @  @  @A  @ A    A       @ A @   A          A       @   @ A@   @ @    A A  @ @A @@ @ A      @ A   A  A  A  @        A @ A @@  @A  A         @  A @ @   A    A    A   A        @   A @A  A @@  A   A@  @@  @  @          @  A     A @    @    @ A     @   @  @     @ A   A    A @   A A    @    @         @  @ A       A  A                A A  A  A  @     A   A@A     A A     A @    A   A @ A       A A  @@   @ A @ A  @  A     A @     @ @     @  A     @   @          A  @   A   @ A  @  A   @  @  A   AA @  @ @ @   @   AA    @A     AAA @    A A   A A A  @ A A  A  A      @  A         @    A@    A  @   @   A A @ @      @  AA    A A     A  @A A      @A  @   @@    A @ @    @   A AAA   A @  A  @ @ A  @   A      @ A  A      @  @  @A    @ A A @AA  AA           @       @    @         AA  @@      A  @A     @   @   A A   @  A    @ @ A     A@     A   @ @   A   A  @  A @   @ A  @  A A @ A  @   AA   @   A  @A  @ @     A A     A    @   @  @@  A A A@  A A  @  A         @   @         @@ @ @       @       @    A   A      @          @     A  @        @  @    @     @  A  @ AA A A  @    A   A      @ @           @  @  @  A   A @     A      @A @ A @  A @   @  @   AA @    A        @ A @  A   AA  @  @              @@     A A @  A    A A      A  @            A A      A  A@ @  @@   A  @   @A        @@  A  A    @A  A  A @ AA AA      A         @ A     @ A   @  @ A @ @  @ A  @   A  @        @   @ A      @  @@ A@  @ A     A     @   A   A  A         A    @     @       A       A      @ A  A      A A  AA    @      @  A A  @ A   @     A   @  @ A  A  @ A       A  A    @ A    A   A A @   A   A  @  A @@   A A      @ @  A  @       AA       @ A    @A          A @ @           AA  A @  @  A  A @        A  AA  AA   AA    A     A  @   A       @A  A A A A@  A A A  A       AA @    @     A @      A @   @@ A     @     A @  @  @@ A @           @ A @    A@   A A @ @A @  A          @ AA   A  A   @ A @ A  @   A A  A  A      A @         AA A @    A A    @      A        @  A@        @ @A   @ A  @  @ A @        A @       A   A  @A @ @A   @ A      A @  @     A   @  A@@    @  A  @ @ @@  @  @         A A     A A@  @  A  @@     @    @  @ @@  A  A@  @@   @        @     A@ A   @A   @     @    A   AA    @@      A  A  @  @   @  @ A A @  @    A  A        @  A  @    A  @  A A    A       @ @   A@ @ A  A   A  @   @   A@  @     A A  A  A A  @@A     @   A @   @@ @ A     A A         @@       A@ @@ @ @      A  @    A @   @          @ A         A   A  A @ @   @@   A  A A  A A @ @  @@ @        @   @  A @    @@       A      A    A   @A       @ A@ @ A    @AA  @ AA  @ @ @ A @           @@   @ @ @ A A  @ @ @ @ @ @ @ A  @             @  @   @    A   @@    A  A    @    @   A  @  @ @@   A A    A @ A   A      A AA  @  A @ A @        @  @       A @ A@   @A @ @  @  @    @  @  A  @ @   @    @  @A    @ A      @   @  @   @@ @   @  @  A A A   @   @ A  A  @ A A   @ A  @  A        @@   A   AA   A    @      AA   @  @  A    @ @   @ A    A @   A    @ A A  @  A   @ A        @  A           A@  A   AA     A          A      A @  @         A A@       A  @    A  @@    @ A    @    @ @ @    @ A@@ A  A  A A     AA     A  A A  AA  A     @ @ @ @  @             @   @ @ @  @ A  A @      @ @@ A   @ @    @   AA A     A A A AA  @    A   A    A A     @@@ A @@A  @ @@          A  A A A A  A  @ @A A    A @ A A A @ @  @   @    A  A A @ A AA   @ A @ A @ @ @   @   A @ @  @           @@  A         A  A  @     A        @    A     @ @ @  A        A A A   A  @ A           @A@ A  @A  @ @  @ @  A  @        @  @  A     @           A  A   @   @  A @A    A @@    A      A      A  A@  A    A      @   A  A  A   A@    A@    @A@ A A      A      @         @  AA   A@@  @ @  @   @  @A@  @  AA  A      A  AA     A   @     A A   @ @        A  @ A  @A      A  @   A @ @  A   @ A @  @ @          @ A A@ A     @  A @ @  A        @   @@   @@  A  A  A   @@  A @ @@  A       @ @   @ A A    @  AA A A             A @@ @ A  A @ @  A        A  A    A  A   A     A A A@  @   A        @  @ A A @   AA A @       A    @ A     A  @  @ A  AA   A  @      @        @  @  @ @   A    @@  A     A @      @  A A    @ A@ @         @       A  @  @     @   @        A A@@A  A      A   A     @   @ @   @      @ @    A    A A @ @ @     A @ @  A    @      @ A      A    @    @  A   A    @  A@ @   @  A @    @ @  A  @   @  A A    A   A A@ @     @ @  A @  @    A  AA @   A         @   AA  A  A       @  A      @    A       @       @  @   A     @  A A @  A @  @ @ @  A  @ @  @@  @   A @  @ A A  @  AA  @   @    @ A@ A @  @      @A    A  @   @    A       @ A   A@@   A  A  A   A @      A    A  A  A  @   @    A   @@ A   @ AA A        AA  @ @ @A A@ @    @ @   A    A  @    @    A        @   AA    @ A     @  @   A     @    A@  @ @  @   @  A@ A AA A     @    A A A @  A  A     A A   @       @  @ A @ @  @   A A      AAA     @A A  A    A  AA@ @         A  @ A    A@ A A A  @  @     @     @     A A @ A      A A   @      A        A @  AA @     @      A  AA    @ A  AAA @  A  A @ A A A  @         A  @ A @ @ @  A        @  A A@   @             AA A   @@   @ A        @A  @      A     @    @ A    A@ A@  A     A A  A  @ @ A A@      A   @    @ A      @   @  A A   A  A A   A@ @ @   AA@A@      @   @ A A  A  @ A   @@ @ @ @ A@    @     A    @  A  @A @    @ @  A  A     A  A    A@ A   A A    @ @  @ A @ @ @ A    A  AA  A   A    A         A      @  A        @ @A  A AA @      @ A  @  A         @ A  @  @  A A    @ @  A  @   @   @@           A     A  A AA      A  @A @      A  @ @  A  A @        @  A  @    @@   @A  @   @ @ @       @ @A   @A   A    A  A  A     A  A @           @   @      @      @  @   A @   A      @   @ A  @   A   @ @ A  @@A  A  @   A  @   A A     @  A       A AA  AA A @    @  @   A @   A     @   A A  @  @ @       A  AA      A    A    @    A    @  A   @      A  A  A A@  @     @        @ @  @  @ @    @      A  A @A@     A   A@ @  A @  A @  A   A     @     A  @  @ A@     A  A A   @ A@ A     @ A     A  @    @   A  AA A        @    A   @ A@  @   A @A  A    A@ @        @ A   A  A  @ @      @           A @@     @@     A  @ @    A A @ @        A  A    A @    A   A @    @  @ AA@ A @ A@  AA     A A A      A       A @ A  A     AA          A      @A      @  A A A    @ A@ @  @A          A  @     @      @        @       A    @     A  A   @ @   A @   @      A@       @ @ @@ A @  @   @     A  @@ @  @A@ @ @    @@    A@ @  @        A           @@       @  @     A @   @  A   A@      @  AA A  A A A        A @  @ @   @         @  @   @   A@ A  A @       A  @  @A A  A   @A AA A A  @   @ @ @A    @       @      @ @  A     A A  @@   A  @  A A   A   @     @  @      @@    AA  A   @ A A @    @    AA  @@  @     @   @  A @ A    A          @ @ A @       A   A  A   A A       A  @ A        @  A     A@ A  A    @  A  @ A  @ @ @  A    A     A    A        @A         A @   A@            @@ @ @ @ @  @@ @ A   @  @ @ @ @ A  A@   @ A@ @  @   A @  @     @   @ @    A @    @    A A @ @@ A @ @   @  AA@   A@ A     A         AA  @ A @      @   @  @      A A        @ A    @  @ @  A @      A        A       A  A A A @ @      A     AA@     @A  @A A A@ AAA    A   A  A @@   @A      A AA   @     @  A @  @ A     @  A @ @   A   @  A @  A     @  @  @          @   @ A A @      @  @  A @ A    A   AA@A   A @    A   @ @    A A  A  A  A @  @      A  AA A A A  @    @ @    @ @     @ A @  A         @   @ @    A @    A    @   @   @ A A  A @  A@@    @ AA @ A          @        A    @ @ A   A  A  @A@   A   A@  @       A    @ A @ A  @    @  @  @  @ A       A A   A  A  @  A A   A   @  A  AA@A      @  A  @    AA     A  A  @ @@    @ A@ A    A      A A @ A  @ A @A @    @  A A      A @ A @  AA @ @A   @  @ A   A @  A     @  AA A   A  A      A                 A A    @ @  @@   @ A @ A   AA A @  A  @          A @  @   @  A @     A @ @     A           A @    A A AA A @ @@   A@   @ A  A A @    @ @  @ @     @A @  @ A @@ @ A  A     @    A   @   A  A   @  A@ @  AAA  A  A  A   @A @ A A    A A@ A@@       A  A    @ @ A   @ A  @    @A A    A @    @       @@ @ A   @    @  @  @ @  AA@  A @   @       A@A       A    A   A  @    A@    @   A  @  @         @       A   @    A  @       A @ @     @    A@ A    @ A @  @A A   @  @ A   A  A  @@    @  @   A  A   A A     A  @ @   A @     A  @ @ A  A  @  AA          @ A  A    @A    @   @ A   A     @  @ A   @ A     A   A AA  @@   A        A @             A        @      @     @  @ A  A  @            @  A  A        A  @A A    @@  @    A A @   A @ @  @ AA  A @ A    @    A  @ @   @ A          @    @   A  @ @  @ A  A   A A  @   @  @  @   @ @    @@   @  A   A             A @A  A  A  A  A A  A    A   @  A    @  A     @    A @    @   A @@ A    A A@ A @@     A A   @    A  @ A     @      A @ A     @   @A      A@A       A  A @    @  @ A    @       @ A A      A AA      @A   A@ A A   @   A @@    @A     A     A @ A    @ A   @ A     AAA      @ @ @ @A   @      @ A A  A  @A  A@  A     A      A @ @ @   A @    @         @ @  AA  @      A A A  A      A@ A @ A A  @  @@  A @   A    A       A A        @     A  A   A  @A  A @  A A  @    A   @@     @  @  @  @ A A     A   A   A  A      @            A  A A @ @   @  @ @  A A         @ A   A    A    A @    @ A @      A        @ @     A  A @ A A   A   A   @  A   @ @A    A        @ @  A     A     @ AA@ @   @     A        @ @    @  @@ @  A  A    A     @   A A  @     A  @  @ A A A   @ @A      @ @  A  A  A A      A        A A @  @ A A  A           A   @   A  @   @A     @     A      @A  A     A A @  A    @  @  A @ @   @ A @  @ A    A  @A       @  A     @  A      @ @@   @ @  @  @   @@  @    @   A @  @   AAAA  A@ A A  @ A  A @  @   A @@    A   @  A     A @    A  A  @ @  A   @ @ A @   @@  A @    @   A    A   @       @    A @ A  A@ @    A @ A  @  @  A          A @ @   @A A      A  @ A A@ @       A   A  A         A @       @ AA A A   A   @ @     @ @ @     A    A  @A      @ @ A   @ AA    AA A   A A @ @     A  @    A      @   A  A   A  @@      @ A                A A      A    A  A  A @   @ A @@ A @@  @    A    A A A  A     @   A A      @      @  A       A@ @   A  A A   A A @   A    A     AA     @ A A   @  @  A @ @     A    @ @   @@ @  @    A@  A A    @@ @   @ @  @ A    A A    A A       @   A @  A A A       A     A@ @   @  A   @ @ @  @  @  A A A @  A A  A A    A @@ @ @    @ A   @ @   AA A    A  A           A @ @ A    @A A A @      A            A     A   @         A @  A @ @ @   @  AA  A @  @@  @A  A       @@      A A    @ A  @   A    A A        @     A   @ @      @              A  @ @A   @ AA  @     @         @          @  A  A  A A    @  A   @ @      A A A@  @       @ A @  @  @A  @ A  A  A       @ @  @@  @ @A @  A  @        @    AA  @        @   A @  A   A       @ @A  @ AA     A             A AA@ A @  @ A  AA  @     A@  @  @    @ @     A     @ @ @ A    A  @  A @ @   @ @ @A A   @       @ @ A  @A     @  @ A  A  @  A           A @ @     A  A  A @         A@   @  A                @@       A @ @ A    @    A@ @ A@  A@        @A  A A  @         A  @ @   A    A@ @     @   A    A    A   A   @  @ A     @  @  @  @  @   A   @ @@ A @ @ @ @ @ @      @A A@  @    @     @         A  @   AA  A       @ A  A   @A @ @   @   @      A A A  A   A  A @ A A  @ @ @ A A  @@    A  A   @ A  @        @     @@     A      @  A@     @ @  @   A @ @ @    @@  A  @ A @ A  @ A A @ A  A    A A     A  @ @@ A A  A@   A       A @  @ @  A  A  AA A A  @ A A AA   A     A A @  A  @   @     @ A @   @    A  @  A   A     A  @  A @  A     A   @ A@    A  A    @  @ @    @   A  @ A     A              @ A  A    A   @   A   @ @ A  A@  A    A @ @       A A     @A    @     @  A    A  @ @@  A @   @   @ A     A A A A         A    A @  @        A    @  A@   @    A  A A A@   A @  @   A  @   A @ @  @ A@      @  A     @A   @ @       A  A @  A  @      @ @    @ A @  @     A      A @    @             @ @@  A   A     @@    A@@  @@ @ A  @ A     @   A A   A A    @  A  @A A      @   A   A@  @A A A@   @  A@ @@    @            @       A@@@ A  @    @@     @   A   @@  A  @ @  A       @       A   A    @             A  @  @        A   @  @  A    @    @       A  A A  @    A@    A A  @ @   A  @  A  A  AA @ @A   @ A    A    @A @     @@  @      A      A  @ A      A@    @@  @  @  @   A  @ @  @    @ @     @ A  A    A   A   A   A   A  A  @ A A   @  A    A   @@    A    A @     A A    @ A @ A     @      A A @  @      A  @     A  A@A@  @ A@    @ A        @@     @A  A  A @    A @   @          A@ A   @  A     A@        @@ @    @  @@ @ @     @ A @  A      A A     @  A    @   A     @   @           A  @ @     A  @   A A      A      A A  @     A @A     A   A           A   A   @         @ A      @    A    A    A  A @      @ A @    @     A@  @  @    @ @  @A @    @     @A @  @  A @        @    AA A      @  A  A  A  A  @ A A   @ @ @          AA  AA  @ A   A    A  @     @ A @ @  @   A     @  @ A       @  @A  @      A   A @ A   A @      @    @    A@ A  A @      A @  @  A   @  @A A     @  A