=>

[(1,2)]=>[(1,2)]=>[2,1]=>1 [(1,2),(3,4)]=>[(1,2),(3,4)]=>[2,1,4,3]=>101 [(1,3),(2,4)]=>[(1,4),(2,3)]=>[3,4,2,1]=>011 [(1,4),(2,3)]=>[(1,3),(2,4)]=>[3,4,1,2]=>010 [(1,2),(3,4),(5,6)]=>[(1,2),(3,4),(5,6)]=>[2,1,4,3,6,5]=>10101 [(1,3),(2,4),(5,6)]=>[(1,4),(2,3),(5,6)]=>[3,4,2,1,6,5]=>01101 [(1,4),(2,3),(5,6)]=>[(1,3),(2,4),(5,6)]=>[3,4,1,2,6,5]=>01001 [(1,5),(2,3),(4,6)]=>[(1,3),(2,6),(4,5)]=>[3,5,1,6,4,2]=>01011 [(1,6),(2,3),(4,5)]=>[(1,3),(2,5),(4,6)]=>[3,5,1,6,2,4]=>01010 [(1,6),(2,4),(3,5)]=>[(1,5),(2,4),(3,6)]=>[4,5,6,2,1,3]=>00110 [(1,5),(2,4),(3,6)]=>[(1,6),(2,4),(3,5)]=>[4,5,6,2,3,1]=>00101 [(1,4),(2,5),(3,6)]=>[(1,6),(2,5),(3,4)]=>[4,5,6,3,2,1]=>00111 [(1,3),(2,5),(4,6)]=>[(1,6),(2,3),(4,5)]=>[3,5,2,6,4,1]=>01011 [(1,2),(3,5),(4,6)]=>[(1,2),(3,6),(4,5)]=>[2,1,5,6,4,3]=>10011 [(1,2),(3,6),(4,5)]=>[(1,2),(3,5),(4,6)]=>[2,1,5,6,3,4]=>10010 [(1,3),(2,6),(4,5)]=>[(1,5),(2,3),(4,6)]=>[3,5,2,6,1,4]=>01010 [(1,4),(2,6),(3,5)]=>[(1,5),(2,6),(3,4)]=>[4,5,6,3,1,2]=>00110 [(1,5),(2,6),(3,4)]=>[(1,4),(2,6),(3,5)]=>[4,5,6,1,3,2]=>00101 [(1,6),(2,5),(3,4)]=>[(1,4),(2,5),(3,6)]=>[4,5,6,1,2,3]=>00100 [(1,2),(3,4),(5,6),(7,8)]=>[(1,2),(3,4),(5,6),(7,8)]=>[2,1,4,3,6,5,8,7]=>1010101 [(1,3),(2,4),(5,6),(7,8)]=>[(1,4),(2,3),(5,6),(7,8)]=>[3,4,2,1,6,5,8,7]=>0110101 [(1,4),(2,3),(5,6),(7,8)]=>[(1,3),(2,4),(5,6),(7,8)]=>[3,4,1,2,6,5,8,7]=>0100101 [(1,5),(2,3),(4,6),(7,8)]=>[(1,3),(2,6),(4,5),(7,8)]=>[3,5,1,6,4,2,8,7]=>0101101 [(1,6),(2,3),(4,5),(7,8)]=>[(1,3),(2,5),(4,6),(7,8)]=>[3,5,1,6,2,4,8,7]=>0101001 [(1,7),(2,3),(4,5),(6,8)]=>[(1,3),(2,5),(4,8),(6,7)]=>[3,5,1,7,2,8,6,4]=>0101011 [(1,8),(2,3),(4,5),(6,7)]=>[(1,3),(2,5),(4,7),(6,8)]=>[3,5,1,7,2,8,4,6]=>0101010 [(1,8),(2,4),(3,5),(6,7)]=>[(1,5),(2,4),(3,7),(6,8)]=>[4,5,7,2,1,8,3,6]=>0011010 [(1,7),(2,4),(3,5),(6,8)]=>[(1,5),(2,4),(3,8),(6,7)]=>[4,5,7,2,1,8,6,3]=>0011011 [(1,6),(2,4),(3,5),(7,8)]=>[(1,5),(2,4),(3,6),(7,8)]=>[4,5,6,2,1,3,8,7]=>0011001 [(1,5),(2,4),(3,6),(7,8)]=>[(1,6),(2,4),(3,5),(7,8)]=>[4,5,6,2,3,1,8,7]=>0010101 [(1,4),(2,5),(3,6),(7,8)]=>[(1,6),(2,5),(3,4),(7,8)]=>[4,5,6,3,2,1,8,7]=>0011101 [(1,3),(2,5),(4,6),(7,8)]=>[(1,6),(2,3),(4,5),(7,8)]=>[3,5,2,6,4,1,8,7]=>0101101 [(1,2),(3,5),(4,6),(7,8)]=>[(1,2),(3,6),(4,5),(7,8)]=>[2,1,5,6,4,3,8,7]=>1001101 [(1,2),(3,6),(4,5),(7,8)]=>[(1,2),(3,5),(4,6),(7,8)]=>[2,1,5,6,3,4,8,7]=>1001001 [(1,3),(2,6),(4,5),(7,8)]=>[(1,5),(2,3),(4,6),(7,8)]=>[3,5,2,6,1,4,8,7]=>0101001 [(1,4),(2,6),(3,5),(7,8)]=>[(1,5),(2,6),(3,4),(7,8)]=>[4,5,6,3,1,2,8,7]=>0011001 [(1,5),(2,6),(3,4),(7,8)]=>[(1,4),(2,6),(3,5),(7,8)]=>[4,5,6,1,3,2,8,7]=>0010101 [(1,6),(2,5),(3,4),(7,8)]=>[(1,4),(2,5),(3,6),(7,8)]=>[4,5,6,1,2,3,8,7]=>0010001 [(1,7),(2,5),(3,4),(6,8)]=>[(1,4),(2,5),(3,8),(6,7)]=>[4,5,7,1,2,8,6,3]=>0010011 [(1,8),(2,5),(3,4),(6,7)]=>[(1,4),(2,5),(3,7),(6,8)]=>[4,5,7,1,2,8,3,6]=>0010010 [(1,8),(2,6),(3,4),(5,7)]=>[(1,4),(2,7),(3,6),(5,8)]=>[4,6,7,1,8,3,2,5]=>0010110 [(1,7),(2,6),(3,4),(5,8)]=>[(1,4),(2,8),(3,6),(5,7)]=>[4,6,7,1,8,3,5,2]=>0010101 [(1,6),(2,7),(3,4),(5,8)]=>[(1,4),(2,8),(3,7),(5,6)]=>[4,6,7,1,8,5,3,2]=>0010111 [(1,5),(2,7),(3,4),(6,8)]=>[(1,4),(2,8),(3,5),(6,7)]=>[4,5,7,1,3,8,6,2]=>0010011 [(1,4),(2,7),(3,5),(6,8)]=>[(1,5),(2,8),(3,4),(6,7)]=>[4,5,7,3,1,8,6,2]=>0011011 [(1,3),(2,7),(4,5),(6,8)]=>[(1,5),(2,3),(4,8),(6,7)]=>[3,5,2,7,1,8,6,4]=>0101011 [(1,2),(3,7),(4,5),(6,8)]=>[(1,2),(3,5),(4,8),(6,7)]=>[2,1,5,7,3,8,6,4]=>1001011 [(1,2),(3,8),(4,5),(6,7)]=>[(1,2),(3,5),(4,7),(6,8)]=>[2,1,5,7,3,8,4,6]=>1001010 [(1,3),(2,8),(4,5),(6,7)]=>[(1,5),(2,3),(4,7),(6,8)]=>[3,5,2,7,1,8,4,6]=>0101010 [(1,4),(2,8),(3,5),(6,7)]=>[(1,5),(2,7),(3,4),(6,8)]=>[4,5,7,3,1,8,2,6]=>0011010 [(1,5),(2,8),(3,4),(6,7)]=>[(1,4),(2,7),(3,5),(6,8)]=>[4,5,7,1,3,8,2,6]=>0010010 [(1,6),(2,8),(3,4),(5,7)]=>[(1,4),(2,7),(3,8),(5,6)]=>[4,6,7,1,8,5,2,3]=>0010110 [(1,7),(2,8),(3,4),(5,6)]=>[(1,4),(2,6),(3,8),(5,7)]=>[4,6,7,1,8,2,5,3]=>0010101 [(1,8),(2,7),(3,4),(5,6)]=>[(1,4),(2,6),(3,7),(5,8)]=>[4,6,7,1,8,2,3,5]=>0010100 [(1,8),(2,7),(3,5),(4,6)]=>[(1,6),(2,5),(3,7),(4,8)]=>[5,6,7,8,2,1,3,4]=>0001100 [(1,7),(2,8),(3,5),(4,6)]=>[(1,6),(2,5),(3,8),(4,7)]=>[5,6,7,8,2,1,4,3]=>0001101 [(1,6),(2,8),(3,5),(4,7)]=>[(1,7),(2,5),(3,8),(4,6)]=>[5,6,7,8,2,4,1,3]=>0001010 [(1,5),(2,8),(3,6),(4,7)]=>[(1,7),(2,6),(3,8),(4,5)]=>[5,6,7,8,4,2,1,3]=>0001110 [(1,4),(2,8),(3,6),(5,7)]=>[(1,7),(2,6),(3,4),(5,8)]=>[4,6,7,3,8,2,1,5]=>0010110 [(1,3),(2,8),(4,6),(5,7)]=>[(1,7),(2,3),(4,6),(5,8)]=>[3,6,2,7,8,4,1,5]=>0100110 [(1,2),(3,8),(4,6),(5,7)]=>[(1,2),(3,7),(4,6),(5,8)]=>[2,1,6,7,8,4,3,5]=>1000110 [(1,2),(3,7),(4,6),(5,8)]=>[(1,2),(3,8),(4,6),(5,7)]=>[2,1,6,7,8,4,5,3]=>1000101 [(1,3),(2,7),(4,6),(5,8)]=>[(1,8),(2,3),(4,6),(5,7)]=>[3,6,2,7,8,4,5,1]=>0100101 [(1,4),(2,7),(3,6),(5,8)]=>[(1,8),(2,6),(3,4),(5,7)]=>[4,6,7,3,8,2,5,1]=>0010101 [(1,5),(2,7),(3,6),(4,8)]=>[(1,8),(2,6),(3,7),(4,5)]=>[5,6,7,8,4,2,3,1]=>0001101 [(1,6),(2,7),(3,5),(4,8)]=>[(1,8),(2,5),(3,7),(4,6)]=>[5,6,7,8,2,4,3,1]=>0001011 [(1,7),(2,6),(3,5),(4,8)]=>[(1,8),(2,5),(3,6),(4,7)]=>[5,6,7,8,2,3,4,1]=>0001001 [(1,8),(2,6),(3,5),(4,7)]=>[(1,7),(2,5),(3,6),(4,8)]=>[5,6,7,8,2,3,1,4]=>0001010 [(1,8),(2,5),(3,6),(4,7)]=>[(1,7),(2,6),(3,5),(4,8)]=>[5,6,7,8,3,2,1,4]=>0001110 [(1,7),(2,5),(3,6),(4,8)]=>[(1,8),(2,6),(3,5),(4,7)]=>[5,6,7,8,3,2,4,1]=>0001101 [(1,6),(2,5),(3,7),(4,8)]=>[(1,8),(2,7),(3,5),(4,6)]=>[5,6,7,8,3,4,2,1]=>0001011 [(1,5),(2,6),(3,7),(4,8)]=>[(1,8),(2,7),(3,6),(4,5)]=>[5,6,7,8,4,3,2,1]=>0001111 [(1,4),(2,6),(3,7),(5,8)]=>[(1,8),(2,7),(3,4),(5,6)]=>[4,6,7,3,8,5,2,1]=>0010111 [(1,3),(2,6),(4,7),(5,8)]=>[(1,8),(2,3),(4,7),(5,6)]=>[3,6,2,7,8,5,4,1]=>0100111 [(1,2),(3,6),(4,7),(5,8)]=>[(1,2),(3,8),(4,7),(5,6)]=>[2,1,6,7,8,5,4,3]=>1000111 [(1,2),(3,5),(4,7),(6,8)]=>[(1,2),(3,8),(4,5),(6,7)]=>[2,1,5,7,4,8,6,3]=>1001011 [(1,3),(2,5),(4,7),(6,8)]=>[(1,8),(2,3),(4,5),(6,7)]=>[3,5,2,7,4,8,6,1]=>0101011 [(1,4),(2,5),(3,7),(6,8)]=>[(1,8),(2,5),(3,4),(6,7)]=>[4,5,7,3,2,8,6,1]=>0011011 [(1,5),(2,4),(3,7),(6,8)]=>[(1,8),(2,4),(3,5),(6,7)]=>[4,5,7,2,3,8,6,1]=>0010011 [(1,6),(2,4),(3,7),(5,8)]=>[(1,8),(2,4),(3,7),(5,6)]=>[4,6,7,2,8,5,3,1]=>0010111 [(1,7),(2,4),(3,6),(5,8)]=>[(1,8),(2,4),(3,6),(5,7)]=>[4,6,7,2,8,3,5,1]=>0010101 [(1,8),(2,4),(3,6),(5,7)]=>[(1,7),(2,4),(3,6),(5,8)]=>[4,6,7,2,8,3,1,5]=>0010110 [(1,8),(2,3),(4,6),(5,7)]=>[(1,3),(2,7),(4,6),(5,8)]=>[3,6,1,7,8,4,2,5]=>0100110 [(1,7),(2,3),(4,6),(5,8)]=>[(1,3),(2,8),(4,6),(5,7)]=>[3,6,1,7,8,4,5,2]=>0100101 [(1,6),(2,3),(4,7),(5,8)]=>[(1,3),(2,8),(4,7),(5,6)]=>[3,6,1,7,8,5,4,2]=>0100111 [(1,5),(2,3),(4,7),(6,8)]=>[(1,3),(2,8),(4,5),(6,7)]=>[3,5,1,7,4,8,6,2]=>0101011 [(1,4),(2,3),(5,7),(6,8)]=>[(1,3),(2,4),(5,8),(6,7)]=>[3,4,1,2,7,8,6,5]=>0100011 [(1,3),(2,4),(5,7),(6,8)]=>[(1,4),(2,3),(5,8),(6,7)]=>[3,4,2,1,7,8,6,5]=>0110011 [(1,2),(3,4),(5,7),(6,8)]=>[(1,2),(3,4),(5,8),(6,7)]=>[2,1,4,3,7,8,6,5]=>1010011 [(1,2),(3,4),(5,8),(6,7)]=>[(1,2),(3,4),(5,7),(6,8)]=>[2,1,4,3,7,8,5,6]=>1010010 [(1,3),(2,4),(5,8),(6,7)]=>[(1,4),(2,3),(5,7),(6,8)]=>[3,4,2,1,7,8,5,6]=>0110010 [(1,4),(2,3),(5,8),(6,7)]=>[(1,3),(2,4),(5,7),(6,8)]=>[3,4,1,2,7,8,5,6]=>0100010 [(1,5),(2,3),(4,8),(6,7)]=>[(1,3),(2,7),(4,5),(6,8)]=>[3,5,1,7,4,8,2,6]=>0101010 [(1,6),(2,3),(4,8),(5,7)]=>[(1,3),(2,7),(4,8),(5,6)]=>[3,6,1,7,8,5,2,4]=>0100110 [(1,7),(2,3),(4,8),(5,6)]=>[(1,3),(2,6),(4,8),(5,7)]=>[3,6,1,7,8,2,5,4]=>0100101 [(1,8),(2,3),(4,7),(5,6)]=>[(1,3),(2,6),(4,7),(5,8)]=>[3,6,1,7,8,2,4,5]=>0100100 [(1,8),(2,4),(3,7),(5,6)]=>[(1,6),(2,4),(3,7),(5,8)]=>[4,6,7,2,8,1,3,5]=>0010100 [(1,7),(2,4),(3,8),(5,6)]=>[(1,6),(2,4),(3,8),(5,7)]=>[4,6,7,2,8,1,5,3]=>0010101 [(1,6),(2,4),(3,8),(5,7)]=>[(1,7),(2,4),(3,8),(5,6)]=>[4,6,7,2,8,5,1,3]=>0010110 [(1,5),(2,4),(3,8),(6,7)]=>[(1,7),(2,4),(3,5),(6,8)]=>[4,5,7,2,3,8,1,6]=>0010010 [(1,4),(2,5),(3,8),(6,7)]=>[(1,7),(2,5),(3,4),(6,8)]=>[4,5,7,3,2,8,1,6]=>0011010 [(1,3),(2,5),(4,8),(6,7)]=>[(1,7),(2,3),(4,5),(6,8)]=>[3,5,2,7,4,8,1,6]=>0101010 [(1,2),(3,5),(4,8),(6,7)]=>[(1,2),(3,7),(4,5),(6,8)]=>[2,1,5,7,4,8,3,6]=>1001010 [(1,2),(3,6),(4,8),(5,7)]=>[(1,2),(3,7),(4,8),(5,6)]=>[2,1,6,7,8,5,3,4]=>1000110 [(1,3),(2,6),(4,8),(5,7)]=>[(1,7),(2,3),(4,8),(5,6)]=>[3,6,2,7,8,5,1,4]=>0100110 [(1,4),(2,6),(3,8),(5,7)]=>[(1,7),(2,8),(3,4),(5,6)]=>[4,6,7,3,8,5,1,2]=>0010110 [(1,5),(2,6),(3,8),(4,7)]=>[(1,7),(2,8),(3,6),(4,5)]=>[5,6,7,8,4,3,1,2]=>0001110 [(1,6),(2,5),(3,8),(4,7)]=>[(1,7),(2,8),(3,5),(4,6)]=>[5,6,7,8,3,4,1,2]=>0001010 [(1,7),(2,5),(3,8),(4,6)]=>[(1,6),(2,8),(3,5),(4,7)]=>[5,6,7,8,3,1,4,2]=>0001101 [(1,8),(2,5),(3,7),(4,6)]=>[(1,6),(2,7),(3,5),(4,8)]=>[5,6,7,8,3,1,2,4]=>0001100 [(1,8),(2,6),(3,7),(4,5)]=>[(1,5),(2,7),(3,6),(4,8)]=>[5,6,7,8,1,3,2,4]=>0001010 [(1,7),(2,6),(3,8),(4,5)]=>[(1,5),(2,8),(3,6),(4,7)]=>[5,6,7,8,1,3,4,2]=>0001001 [(1,6),(2,7),(3,8),(4,5)]=>[(1,5),(2,8),(3,7),(4,6)]=>[5,6,7,8,1,4,3,2]=>0001011 [(1,5),(2,7),(3,8),(4,6)]=>[(1,6),(2,8),(3,7),(4,5)]=>[5,6,7,8,4,1,3,2]=>0001101 [(1,4),(2,7),(3,8),(5,6)]=>[(1,6),(2,8),(3,4),(5,7)]=>[4,6,7,3,8,1,5,2]=>0010101 [(1,3),(2,7),(4,8),(5,6)]=>[(1,6),(2,3),(4,8),(5,7)]=>[3,6,2,7,8,1,5,4]=>0100101 [(1,2),(3,7),(4,8),(5,6)]=>[(1,2),(3,6),(4,8),(5,7)]=>[2,1,6,7,8,3,5,4]=>1000101 [(1,2),(3,8),(4,7),(5,6)]=>[(1,2),(3,6),(4,7),(5,8)]=>[2,1,6,7,8,3,4,5]=>1000100 [(1,3),(2,8),(4,7),(5,6)]=>[(1,6),(2,3),(4,7),(5,8)]=>[3,6,2,7,8,1,4,5]=>0100100 [(1,4),(2,8),(3,7),(5,6)]=>[(1,6),(2,7),(3,4),(5,8)]=>[4,6,7,3,8,1,2,5]=>0010100 [(1,5),(2,8),(3,7),(4,6)]=>[(1,6),(2,7),(3,8),(4,5)]=>[5,6,7,8,4,1,2,3]=>0001100 [(1,6),(2,8),(3,7),(4,5)]=>[(1,5),(2,7),(3,8),(4,6)]=>[5,6,7,8,1,4,2,3]=>0001010 [(1,7),(2,8),(3,6),(4,5)]=>[(1,5),(2,6),(3,8),(4,7)]=>[5,6,7,8,1,2,4,3]=>0001001 [(1,8),(2,7),(3,6),(4,5)]=>[(1,5),(2,6),(3,7),(4,8)]=>[5,6,7,8,1,2,3,4]=>0001000 [(1,2),(3,4),(5,6),(7,8),(9,10)]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>[2,1,4,3,6,5,8,7,10,9]=>101010101 [(1,3),(2,4),(5,6),(7,8),(9,10)]=>[(1,4),(2,3),(5,6),(7,8),(9,10)]=>[3,4,2,1,6,5,8,7,10,9]=>011010101 [(1,4),(2,3),(5,6),(7,8),(9,10)]=>[(1,3),(2,4),(5,6),(7,8),(9,10)]=>[3,4,1,2,6,5,8,7,10,9]=>010010101 [(1,6),(2,3),(4,5),(7,8),(9,10)]=>[(1,3),(2,5),(4,6),(7,8),(9,10)]=>[3,5,1,6,2,4,8,7,10,9]=>010100101 [(1,8),(2,3),(4,5),(6,7),(9,10)]=>[(1,3),(2,5),(4,7),(6,8),(9,10)]=>[3,5,1,7,2,8,4,6,10,9]=>010101001 [(1,10),(2,3),(4,5),(6,7),(8,9)]=>[(1,3),(2,5),(4,7),(6,9),(8,10)]=>[3,5,1,7,2,9,4,10,6,8]=>010101010 [(1,4),(2,5),(3,6),(7,8),(9,10)]=>[(1,6),(2,5),(3,4),(7,8),(9,10)]=>[4,5,6,3,2,1,8,7,10,9]=>001110101 [(1,3),(2,5),(4,6),(7,8),(9,10)]=>[(1,6),(2,3),(4,5),(7,8),(9,10)]=>[3,5,2,6,4,1,8,7,10,9]=>010110101 [(1,2),(3,5),(4,6),(7,8),(9,10)]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>[2,1,5,6,4,3,8,7,10,9]=>100110101 [(1,2),(3,6),(4,5),(7,8),(9,10)]=>[(1,2),(3,5),(4,6),(7,8),(9,10)]=>[2,1,5,6,3,4,8,7,10,9]=>100100101 [(1,6),(2,5),(3,4),(7,8),(9,10)]=>[(1,4),(2,5),(3,6),(7,8),(9,10)]=>[4,5,6,1,2,3,8,7,10,9]=>001000101 [(1,8),(2,5),(3,4),(6,7),(9,10)]=>[(1,4),(2,5),(3,7),(6,8),(9,10)]=>[4,5,7,1,2,8,3,6,10,9]=>001001001 [(1,10),(2,5),(3,4),(6,7),(8,9)]=>[(1,4),(2,5),(3,7),(6,9),(8,10)]=>[4,5,7,1,2,9,3,10,6,8]=>001001010 [(1,2),(3,8),(4,5),(6,7),(9,10)]=>[(1,2),(3,5),(4,7),(6,8),(9,10)]=>[2,1,5,7,3,8,4,6,10,9]=>100101001 [(1,8),(2,7),(3,4),(5,6),(9,10)]=>[(1,4),(2,6),(3,7),(5,8),(9,10)]=>[4,6,7,1,8,2,3,5,10,9]=>001010001 [(1,10),(2,7),(3,4),(5,6),(8,9)]=>[(1,4),(2,6),(3,7),(5,9),(8,10)]=>[4,6,7,1,9,2,3,10,5,8]=>001010010 [(1,2),(3,10),(4,5),(6,7),(8,9)]=>[(1,2),(3,5),(4,7),(6,9),(8,10)]=>[2,1,5,7,3,9,4,10,6,8]=>100101010 [(1,10),(2,9),(3,4),(5,6),(7,8)]=>[(1,4),(2,6),(3,8),(5,9),(7,10)]=>[4,6,8,1,9,2,10,3,5,7]=>001010100 [(1,5),(2,6),(3,7),(4,8),(9,10)]=>[(1,8),(2,7),(3,6),(4,5),(9,10)]=>[5,6,7,8,4,3,2,1,10,9]=>000111101 [(1,4),(2,6),(3,7),(5,8),(9,10)]=>[(1,8),(2,7),(3,4),(5,6),(9,10)]=>[4,6,7,3,8,5,2,1,10,9]=>001011101 [(1,3),(2,6),(4,7),(5,8),(9,10)]=>[(1,8),(2,3),(4,7),(5,6),(9,10)]=>[3,6,2,7,8,5,4,1,10,9]=>010011101 [(1,2),(3,6),(4,7),(5,8),(9,10)]=>[(1,2),(3,8),(4,7),(5,6),(9,10)]=>[2,1,6,7,8,5,4,3,10,9]=>100011101 [(1,2),(3,5),(4,7),(6,8),(9,10)]=>[(1,2),(3,8),(4,5),(6,7),(9,10)]=>[2,1,5,7,4,8,6,3,10,9]=>100101101 [(1,3),(2,5),(4,7),(6,8),(9,10)]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>[3,5,2,7,4,8,6,1,10,9]=>010101101 [(1,4),(2,5),(3,7),(6,8),(9,10)]=>[(1,8),(2,5),(3,4),(6,7),(9,10)]=>[4,5,7,3,2,8,6,1,10,9]=>001101101 [(1,3),(2,4),(5,7),(6,8),(9,10)]=>[(1,4),(2,3),(5,8),(6,7),(9,10)]=>[3,4,2,1,7,8,6,5,10,9]=>011001101 [(1,2),(3,4),(5,7),(6,8),(9,10)]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>[2,1,4,3,7,8,6,5,10,9]=>101001101 [(1,2),(3,4),(5,8),(6,7),(9,10)]=>[(1,2),(3,4),(5,7),(6,8),(9,10)]=>[2,1,4,3,7,8,5,6,10,9]=>101001001 [(1,4),(2,3),(5,8),(6,7),(9,10)]=>[(1,3),(2,4),(5,7),(6,8),(9,10)]=>[3,4,1,2,7,8,5,6,10,9]=>010001001 [(1,8),(2,3),(4,7),(5,6),(9,10)]=>[(1,3),(2,6),(4,7),(5,8),(9,10)]=>[3,6,1,7,8,2,4,5,10,9]=>010010001 [(1,10),(2,3),(4,7),(5,6),(8,9)]=>[(1,3),(2,6),(4,7),(5,9),(8,10)]=>[3,6,1,7,9,2,4,10,5,8]=>010010010 [(1,2),(3,8),(4,7),(5,6),(9,10)]=>[(1,2),(3,6),(4,7),(5,8),(9,10)]=>[2,1,6,7,8,3,4,5,10,9]=>100010001 [(1,8),(2,7),(3,6),(4,5),(9,10)]=>[(1,5),(2,6),(3,7),(4,8),(9,10)]=>[5,6,7,8,1,2,3,4,10,9]=>000100001 [(1,10),(2,7),(3,6),(4,5),(8,9)]=>[(1,5),(2,6),(3,7),(4,9),(8,10)]=>[5,6,7,9,1,2,3,10,4,8]=>000100010 [(1,2),(3,10),(4,7),(5,6),(8,9)]=>[(1,2),(3,6),(4,7),(5,9),(8,10)]=>[2,1,6,7,9,3,4,10,5,8]=>100010010 [(1,10),(2,9),(3,6),(4,5),(7,8)]=>[(1,5),(2,6),(3,8),(4,9),(7,10)]=>[5,6,8,9,1,2,10,3,4,7]=>000100100 [(1,2),(3,4),(5,10),(6,7),(8,9)]=>[(1,2),(3,4),(5,7),(6,9),(8,10)]=>[2,1,4,3,7,9,5,10,6,8]=>101001010 [(1,4),(2,3),(5,10),(6,7),(8,9)]=>[(1,3),(2,4),(5,7),(6,9),(8,10)]=>[3,4,1,2,7,9,5,10,6,8]=>010001010 [(1,10),(2,3),(4,9),(5,6),(7,8)]=>[(1,3),(2,6),(4,8),(5,9),(7,10)]=>[3,6,1,8,9,2,10,4,5,7]=>010010100 [(1,2),(3,10),(4,9),(5,6),(7,8)]=>[(1,2),(3,6),(4,8),(5,9),(7,10)]=>[2,1,6,8,9,3,10,4,5,7]=>100010100 [(1,10),(2,9),(3,8),(4,5),(6,7)]=>[(1,5),(2,7),(3,8),(4,9),(6,10)]=>[5,7,8,9,1,10,2,3,4,6]=>000101000 [(1,10),(2,8),(3,7),(4,6),(5,9)]=>[(1,9),(2,6),(3,7),(4,8),(5,10)]=>[6,7,8,9,10,2,3,4,1,5]=>000010010 [(1,10),(2,7),(3,6),(4,8),(5,9)]=>[(1,9),(2,8),(3,6),(4,7),(5,10)]=>[6,7,8,9,10,3,4,2,1,5]=>000010110 [(1,2),(3,7),(4,8),(5,9),(6,10)]=>[(1,2),(3,10),(4,9),(5,8),(6,7)]=>[2,1,7,8,9,10,6,5,4,3]=>100001111 [(1,3),(2,7),(4,8),(5,9),(6,10)]=>[(1,10),(2,3),(4,9),(5,8),(6,7)]=>[3,7,2,8,9,10,6,5,4,1]=>010001111 [(1,4),(2,7),(3,8),(5,9),(6,10)]=>[(1,10),(2,9),(3,4),(5,8),(6,7)]=>[4,7,8,3,9,10,6,5,2,1]=>001001111 [(1,5),(2,7),(3,8),(4,9),(6,10)]=>[(1,10),(2,9),(3,8),(4,5),(6,7)]=>[5,7,8,9,4,10,6,3,2,1]=>000101111 [(1,6),(2,7),(3,8),(4,9),(5,10)]=>[(1,10),(2,9),(3,8),(4,7),(5,6)]=>[6,7,8,9,10,5,4,3,2,1]=>000011111 [(1,10),(2,6),(3,7),(4,8),(5,9)]=>[(1,9),(2,8),(3,7),(4,6),(5,10)]=>[6,7,8,9,10,4,3,2,1,5]=>000011110 [(1,5),(2,6),(3,8),(4,9),(7,10)]=>[(1,10),(2,9),(3,6),(4,5),(7,8)]=>[5,6,8,9,4,3,10,7,2,1]=>000110111 [(1,4),(2,6),(3,8),(5,9),(7,10)]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>[4,6,8,3,9,5,10,7,2,1]=>001010111 [(1,3),(2,6),(4,8),(5,9),(7,10)]=>[(1,10),(2,3),(4,9),(5,6),(7,8)]=>[3,6,2,8,9,5,10,7,4,1]=>010010111 [(1,2),(3,6),(4,8),(5,9),(7,10)]=>[(1,2),(3,10),(4,9),(5,6),(7,8)]=>[2,1,6,8,9,5,10,7,4,3]=>100010111 [(1,2),(3,5),(4,8),(6,9),(7,10)]=>[(1,2),(3,10),(4,5),(6,9),(7,8)]=>[2,1,5,8,4,9,10,7,6,3]=>100100111 [(1,3),(2,5),(4,8),(6,9),(7,10)]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>[3,5,2,8,4,9,10,7,6,1]=>010100111 [(1,4),(2,5),(3,8),(6,9),(7,10)]=>[(1,10),(2,5),(3,4),(6,9),(7,8)]=>[4,5,8,3,2,9,10,7,6,1]=>001100111 [(1,3),(2,4),(5,8),(6,9),(7,10)]=>[(1,4),(2,3),(5,10),(6,9),(7,8)]=>[3,4,2,1,8,9,10,7,6,5]=>011000111 [(1,2),(3,4),(5,8),(6,9),(7,10)]=>[(1,2),(3,4),(5,10),(6,9),(7,8)]=>[2,1,4,3,8,9,10,7,6,5]=>101000111 [(1,2),(3,4),(5,7),(6,9),(8,10)]=>[(1,2),(3,4),(5,10),(6,7),(8,9)]=>[2,1,4,3,7,9,6,10,8,5]=>101001011 [(1,3),(2,4),(5,7),(6,9),(8,10)]=>[(1,4),(2,3),(5,10),(6,7),(8,9)]=>[3,4,2,1,7,9,6,10,8,5]=>011001011 [(1,4),(2,5),(3,7),(6,9),(8,10)]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>[4,5,7,3,2,9,6,10,8,1]=>001101011 [(1,3),(2,5),(4,7),(6,9),(8,10)]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>[3,5,2,7,4,9,6,10,8,1]=>010101011 [(1,2),(3,5),(4,7),(6,9),(8,10)]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>[2,1,5,7,4,9,6,10,8,3]=>100101011 [(1,2),(3,6),(4,7),(5,9),(8,10)]=>[(1,2),(3,10),(4,7),(5,6),(8,9)]=>[2,1,6,7,9,5,4,10,8,3]=>100011011 [(1,3),(2,6),(4,7),(5,9),(8,10)]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>[3,6,2,7,9,5,4,10,8,1]=>010011011 [(1,4),(2,6),(3,7),(5,9),(8,10)]=>[(1,10),(2,7),(3,4),(5,6),(8,9)]=>[4,6,7,3,9,5,2,10,8,1]=>001011011 [(1,5),(2,6),(3,7),(4,9),(8,10)]=>[(1,10),(2,7),(3,6),(4,5),(8,9)]=>[5,6,7,9,4,3,2,10,8,1]=>000111011 [(1,2),(3,5),(4,6),(7,9),(8,10)]=>[(1,2),(3,6),(4,5),(7,10),(8,9)]=>[2,1,5,6,4,3,9,10,8,7]=>100110011 [(1,3),(2,5),(4,6),(7,9),(8,10)]=>[(1,6),(2,3),(4,5),(7,10),(8,9)]=>[3,5,2,6,4,1,9,10,8,7]=>010110011 [(1,4),(2,5),(3,6),(7,9),(8,10)]=>[(1,6),(2,5),(3,4),(7,10),(8,9)]=>[4,5,6,3,2,1,9,10,8,7]=>001110011 [(1,3),(2,4),(5,6),(7,9),(8,10)]=>[(1,4),(2,3),(5,6),(7,10),(8,9)]=>[3,4,2,1,6,5,9,10,8,7]=>011010011 [(1,2),(3,4),(5,6),(7,9),(8,10)]=>[(1,2),(3,4),(5,6),(7,10),(8,9)]=>[2,1,4,3,6,5,9,10,8,7]=>101010011 [(1,2),(3,4),(5,6),(7,10),(8,9)]=>[(1,2),(3,4),(5,6),(7,9),(8,10)]=>[2,1,4,3,6,5,9,10,7,8]=>101010010 [(1,4),(2,3),(5,6),(7,10),(8,9)]=>[(1,3),(2,4),(5,6),(7,9),(8,10)]=>[3,4,1,2,6,5,9,10,7,8]=>010010010 [(1,6),(2,3),(4,5),(7,10),(8,9)]=>[(1,3),(2,5),(4,6),(7,9),(8,10)]=>[3,5,1,6,2,4,9,10,7,8]=>010100010 [(1,10),(2,3),(4,5),(6,9),(7,8)]=>[(1,3),(2,5),(4,8),(6,9),(7,10)]=>[3,5,1,8,2,9,10,4,6,7]=>010100100 [(1,2),(3,6),(4,5),(7,10),(8,9)]=>[(1,2),(3,5),(4,6),(7,9),(8,10)]=>[2,1,5,6,3,4,9,10,7,8]=>100100010 [(1,6),(2,5),(3,4),(7,10),(8,9)]=>[(1,4),(2,5),(3,6),(7,9),(8,10)]=>[4,5,6,1,2,3,9,10,7,8]=>001000010 [(1,10),(2,5),(3,4),(6,9),(7,8)]=>[(1,4),(2,5),(3,8),(6,9),(7,10)]=>[4,5,8,1,2,9,10,3,6,7]=>001000100 [(1,2),(3,10),(4,5),(6,9),(7,8)]=>[(1,2),(3,5),(4,8),(6,9),(7,10)]=>[2,1,5,8,3,9,10,4,6,7]=>100100100 [(1,10),(2,9),(3,4),(5,8),(6,7)]=>[(1,4),(2,7),(3,8),(5,9),(6,10)]=>[4,7,8,1,9,10,2,3,5,6]=>001001000 [(1,10),(2,7),(3,6),(4,9),(5,8)]=>[(1,8),(2,9),(3,6),(4,7),(5,10)]=>[6,7,8,9,10,3,4,1,2,5]=>000010100 [(1,9),(2,8),(3,7),(4,10),(5,6)]=>[(1,6),(2,10),(3,7),(4,8),(5,9)]=>[6,7,8,9,10,1,3,4,5,2]=>000010001 [(1,8),(2,7),(3,9),(4,10),(5,6)]=>[(1,6),(2,10),(3,9),(4,7),(5,8)]=>[6,7,8,9,10,1,4,5,3,2]=>000010011 [(1,7),(2,8),(3,9),(4,10),(5,6)]=>[(1,6),(2,10),(3,9),(4,8),(5,7)]=>[6,7,8,9,10,1,5,4,3,2]=>000010111 [(1,2),(3,4),(5,10),(6,9),(7,8)]=>[(1,2),(3,4),(5,8),(6,9),(7,10)]=>[2,1,4,3,8,9,10,5,6,7]=>101000100 [(1,4),(2,3),(5,10),(6,9),(7,8)]=>[(1,3),(2,4),(5,8),(6,9),(7,10)]=>[3,4,1,2,8,9,10,5,6,7]=>010000100 [(1,10),(2,3),(4,9),(5,8),(6,7)]=>[(1,3),(2,7),(4,8),(5,9),(6,10)]=>[3,7,1,8,9,10,2,4,5,6]=>010001000 [(1,8),(2,7),(3,10),(4,9),(5,6)]=>[(1,6),(2,9),(3,10),(4,7),(5,8)]=>[6,7,8,9,10,1,4,5,2,3]=>000010010 [(1,2),(3,10),(4,9),(5,8),(6,7)]=>[(1,2),(3,7),(4,8),(5,9),(6,10)]=>[2,1,7,8,9,10,3,4,5,6]=>100001000 [(1,10),(2,9),(3,8),(4,7),(5,6)]=>[(1,6),(2,7),(3,8),(4,9),(5,10)]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)]=>[(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)]=>[(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)]=>[2,1,7,8,9,10,3,4,5,6,12,11]=>10000100001 [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>[(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]=>[3,7,1,8,9,11,2,4,5,12,6,10]=>01000100010 [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)]=>[(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)]=>[2,1,7,8,9,11,3,4,5,12,6,10]=>10000100010 [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]=>[(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)]=>[3,7,1,8,9,10,2,4,5,6,12,11]=>01000100001 [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>[(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]=>[4,7,8,1,10,11,2,3,12,5,6,9]=>00100100100 [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>[(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]=>[2,1,4,3,7,8,5,6,10,9,12,11]=>10100100101 [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>[(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]=>[3,7,1,8,10,11,2,4,12,5,6,9]=>01000100100 [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)]=>[(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)]=>[2,1,7,8,10,11,3,4,12,5,6,9]=>10000100100 [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>[(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]=>[3,4,1,2,7,8,5,6,10,9,12,11]=>01000100101 [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>[(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]=>[4,7,8,1,9,11,2,3,5,12,6,10]=>00100100010 [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>[(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]=>[2,1,4,3,7,8,5,6,11,12,9,10]=>10100100010 [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]=>[(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)]=>[4,7,8,1,9,10,2,3,5,6,12,11]=>00100100001 [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>[(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]=>[3,4,1,2,7,8,5,6,11,12,9,10]=>01000100010 [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>[(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]=>[5,7,9,10,1,11,2,12,3,4,6,8]=>00010101000 [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>[(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]=>[2,1,5,7,3,9,4,10,6,8,12,11]=>10010101001 [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>[(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]=>[3,5,1,7,2,9,4,11,6,12,8,10]=>01010101010 [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>[(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]=>[2,1,5,7,3,9,4,11,6,12,8,10]=>10010101010 [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>[(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]=>[3,5,1,7,2,9,4,10,6,8,12,11]=>01010101001 [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>[(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]=>[4,7,9,1,10,11,2,12,3,5,6,8]=>00100101000 [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>[(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]=>[2,1,4,3,7,9,5,10,6,8,12,11]=>10100101001 [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>[(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]=>[3,7,1,9,10,11,2,12,4,5,6,8]=>01000101000 [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)]=>[(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)]=>[2,1,7,9,10,11,3,12,4,5,6,8]=>10000101000 [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>[(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]=>[3,4,1,2,7,9,5,10,6,8,12,11]=>01000101001 [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>[(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]=>[4,5,7,1,2,9,3,11,6,12,8,10]=>00100101010 [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>[(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]=>[2,1,4,3,7,9,5,11,6,12,8,10]=>10100101010 [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>[(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]=>[4,5,7,1,2,9,3,10,6,8,12,11]=>00100101001 [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>[(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]=>[3,4,1,2,7,9,5,11,6,12,8,10]=>01000101010 [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>[(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]=>[5,7,8,10,1,11,2,3,12,4,6,9]=>00010100100 [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>[(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]=>[2,1,5,7,3,8,4,6,10,9,12,11]=>10010100101 [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>[(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]=>[3,5,1,7,2,10,4,11,12,6,8,9]=>01010100100 [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>[(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]=>[2,1,5,7,3,10,4,11,12,6,8,9]=>10010100100 [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>[(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]=>[3,5,1,7,2,8,4,6,10,9,12,11]=>01010100101 [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>[(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]=>[5,7,8,9,1,11,2,3,4,12,6,10]=>00010100010 [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>[(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]=>[2,1,5,7,3,8,4,6,11,12,9,10]=>10010100010 [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)]=>[(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)]=>[5,7,8,9,1,10,2,3,4,6,12,11]=>00010100001 [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>[(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]=>[3,5,1,7,2,8,4,6,11,12,9,10]=>01010100010 [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>[(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]=>[4,5,7,1,2,10,3,11,12,6,8,9]=>00100100100 [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>[(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]=>[2,1,4,3,7,10,5,11,12,6,8,9]=>10100100100 [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>[(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]=>[4,5,7,1,2,8,3,6,10,9,12,11]=>00100100101 [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)]=>[(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)]=>[3,4,1,2,7,10,5,11,12,6,8,9]=>01000100100 [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)]=>[(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)]=>[4,5,7,1,2,8,3,6,11,12,9,10]=>00100100010 [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)]=>[(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)]=>[6,8,9,10,11,1,12,2,3,4,5,7]=>00001010000 [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>[(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]=>[2,1,6,8,9,3,10,4,5,7,12,11]=>10001010001 [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>[(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]=>[3,6,1,8,9,2,11,4,5,12,7,10]=>01001010010 [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>[(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]=>[2,1,6,8,9,3,11,4,5,12,7,10]=>10001010010 [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>[(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]=>[3,6,1,8,9,2,10,4,5,7,12,11]=>01001010001 [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>[(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]=>[4,6,8,1,10,2,11,3,12,5,7,9]=>00101010100 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>10101010101 [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>[(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]=>[3,6,1,8,10,2,11,4,12,5,7,9]=>01001010100 [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>[(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]=>[2,1,6,8,10,3,11,4,12,5,7,9]=>10001010100 [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>[(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]=>[3,4,1,2,6,5,8,7,10,9,12,11]=>01001010101 [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>[(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]=>[4,6,8,1,9,2,11,3,5,12,7,10]=>00101010010 [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>[(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]=>[2,1,4,3,6,5,8,7,11,12,9,10]=>10101010010 [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>[(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]=>[4,6,8,1,9,2,10,3,5,7,12,11]=>00101010001 [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>[(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]=>[3,4,1,2,6,5,8,7,11,12,9,10]=>01001010010 [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]=>[(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)]=>[5,8,9,10,1,11,12,2,3,4,6,7]=>00010010000 [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>[(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]=>[2,1,5,8,3,9,10,4,6,7,12,11]=>10010010001 [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>[(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]=>[3,5,1,8,2,9,11,4,6,12,7,10]=>01010010010 [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>[(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]=>[2,1,5,8,3,9,11,4,6,12,7,10]=>10010010010 [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>[(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]=>[3,5,1,8,2,9,10,4,6,7,12,11]=>01010010001 [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)]=>[(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)]=>[4,8,9,1,10,11,12,2,3,5,6,7]=>00100010000 [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>[(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]=>[2,1,4,3,8,9,10,5,6,7,12,11]=>10100010001 [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)]=>[(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)]=>[3,8,1,9,10,11,12,2,4,5,6,7]=>01000010000 [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)]=>[(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)]=>[2,1,8,9,10,11,12,3,4,5,6,7]=>10000010000 [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]=>[(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)]=>[3,4,1,2,8,9,10,5,6,7,12,11]=>01000010001 [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>[(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]=>[4,5,8,1,2,9,11,3,6,12,7,10]=>00100010010 [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>[(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]=>[2,1,4,3,8,9,11,5,6,12,7,10]=>10100010010 [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>[(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]=>[4,5,8,1,2,9,10,3,6,7,12,11]=>00100010001 [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)]=>[(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)]=>[3,4,1,2,8,9,11,5,6,12,7,10]=>01000010010 [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>[(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]=>[5,6,8,10,1,2,11,3,12,4,7,9]=>00010010100 [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>[(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]=>[2,1,5,6,3,4,8,7,10,9,12,11]=>10010010101 [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>[(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]=>[3,5,1,8,2,10,11,4,12,6,7,9]=>01010010100 [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>[(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]=>[2,1,5,8,3,10,11,4,12,6,7,9]=>10010010100 [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>[(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]=>[3,5,1,6,2,4,8,7,10,9,12,11]=>01010010101 [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>[(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]=>[5,6,8,9,1,2,11,3,4,12,7,10]=>00010010010 [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>[(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]=>[2,1,5,6,3,4,8,7,11,12,9,10]=>10010010010 [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]=>[(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)]=>[5,6,8,9,1,2,10,3,4,7,12,11]=>00010010001 [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>[(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]=>[3,5,1,6,2,4,8,7,11,12,9,10]=>01010010010 [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>[(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]=>[4,5,8,1,2,10,11,3,12,6,7,9]=>00100010100 [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>[(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]=>[2,1,4,3,8,10,11,5,12,6,7,9]=>10100010100 [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>[(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]=>[4,5,6,1,2,3,8,7,10,9,12,11]=>00100010101 [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)]=>[(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)]=>[3,4,1,2,8,10,11,5,12,6,7,9]=>01000010100 [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)]=>[(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)]=>[4,5,6,1,2,3,8,7,11,12,9,10]=>00100010010 [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]=>[(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)]=>[6,7,9,10,11,1,2,12,3,4,5,8]=>00001001000 [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>[(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]=>[2,1,6,7,9,3,4,10,5,8,12,11]=>10001001001 [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>[(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]=>[3,6,1,7,9,2,4,11,5,12,8,10]=>01001001010 [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>[(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]=>[2,1,6,7,9,3,4,11,5,12,8,10]=>10001001010 [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>[(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]=>[3,6,1,7,9,2,4,10,5,8,12,11]=>01001001001 [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>[(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]=>[4,6,9,1,10,2,11,12,3,5,7,8]=>00101001000 [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>[(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]=>[2,1,4,3,6,5,9,10,7,8,12,11]=>10101001001 [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>[(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]=>[3,6,1,9,10,2,11,12,4,5,7,8]=>01001001000 [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]=>[(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)]=>[2,1,6,9,10,3,11,12,4,5,7,8]=>10001001000 [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>[(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]=>[3,4,1,2,6,5,9,10,7,8,12,11]=>01001001001 [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>[(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]=>[4,6,7,1,9,2,3,11,5,12,8,10]=>00101001010 [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>[(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]=>[2,1,4,3,6,5,9,11,7,12,8,10]=>10101001010 [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>[(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]=>[4,6,7,1,9,2,3,10,5,8,12,11]=>00101001001 [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>[(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]=>[3,4,1,2,6,5,9,11,7,12,8,10]=>01001001010 [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)]=>[(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)]=>[6,7,8,10,11,1,2,3,12,4,5,9]=>00001000100 [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>[(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]=>[2,1,6,7,8,3,4,5,10,9,12,11]=>10001000101 [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>[(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]=>[3,6,1,7,10,2,4,11,12,5,8,9]=>01001000100 [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)]=>[(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]=>[2,1,6,7,10,3,4,11,12,5,8,9]=>10001000100 [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>[(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]=>[3,6,1,7,8,2,4,5,10,9,12,11]=>01001000101 [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)]=>[(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)]=>[6,7,8,9,11,1,2,3,4,12,5,10]=>00001000010 [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)]=>[(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)]=>[2,1,6,7,8,3,4,5,11,12,9,10]=>10001000010 [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)]=>[(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)]=>[6,7,8,9,10,1,2,3,4,5,12,11]=>00001000001 [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)]=>[(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)]=>[3,6,1,7,8,2,4,5,11,12,9,10]=>01001000010 [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)]=>[(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]=>[4,6,7,1,10,2,3,11,12,5,8,9]=>00101000100 [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)]=>[(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]=>[2,1,4,3,6,5,10,11,12,7,8,9]=>10101000100 [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)]=>[(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]=>[4,6,7,1,8,2,3,5,10,9,12,11]=>00101000101 [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)]=>[(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)]=>[3,4,1,2,6,5,10,11,12,7,8,9]=>01001000100 [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)]=>[(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)]=>[4,6,7,1,8,2,3,5,11,12,9,10]=>00101000010 [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>[(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]=>[5,6,9,10,1,2,11,12,3,4,7,8]=>00010001000 [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>[(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]=>[2,1,5,6,3,4,9,10,7,8,12,11]=>10010001001 [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>[(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]=>[3,5,1,9,2,10,11,12,4,6,7,8]=>01010001000 [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]=>[(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)]=>[2,1,5,9,3,10,11,12,4,6,7,8]=>10010001000 [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>[(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]=>[3,5,1,6,2,4,9,10,7,8,12,11]=>01010001001 [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>[(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]=>[5,6,7,9,1,2,3,11,4,12,8,10]=>00010001010 [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>[(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]=>[2,1,5,6,3,4,9,11,7,12,8,10]=>10010001010 [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)]=>[(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)]=>[5,6,7,9,1,2,3,10,4,8,12,11]=>00010001001 [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)]=>[(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]=>[3,5,1,6,2,4,9,11,7,12,8,10]=>01010001010 [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]=>[(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)]=>[4,5,9,1,2,10,11,12,3,6,7,8]=>00100001000 [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)]=>[(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)]=>[2,1,4,3,9,10,11,12,5,6,7,8]=>10100001000 [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)]=>[(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)]=>[4,5,6,1,2,3,9,10,7,8,12,11]=>00100001001 [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)]=>[(1,3),(2,4),(5,9),(6,10),(7,11),(8,12)]=>[3,4,1,2,9,10,11,12,5,6,7,8]=>01000001000 [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)]=>[(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)]=>[4,5,6,1,2,3,9,11,7,12,8,10]=>00100001010 [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)]=>[(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)]=>[5,6,7,10,1,2,3,11,12,4,8,9]=>00010000100 [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)]=>[(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)]=>[2,1,5,6,3,4,10,11,12,7,8,9]=>10010000100 [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)]=>[(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)]=>[5,6,7,8,1,2,3,4,10,9,12,11]=>00010000101 [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)]=>[(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)]=>[3,5,1,6,2,4,10,11,12,7,8,9]=>01010000100 [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)]=>[(1,5),(2,6),(3,7),(4,8),(9,11),(10,12)]=>[5,6,7,8,1,2,3,4,11,12,9,10]=>00010000010 [(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)]=>[(1,4),(2,5),(3,6),(7,10),(8,11),(9,12)]=>[4,5,6,1,2,3,10,11,12,7,8,9]=>00100000100 [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)]=>[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)]=>[7,8,9,10,11,12,6,5,4,3,2,1]=>00000111111